Datasets:
htlou
/
mm-interp-pile-10k-tokenized-chameleon_2048-mm_interp

Dataset card Data Studio Files Community
1
Search is not available for this dataset
input_ids
sequencelengths
2.05k
2.05k
[ 0, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 22550, 16919, 23808, 16397, 16604, 16400, 16402, 16396, 16405, 16408, 16582, 16696, 16696, 16696, 16696, 16650, 21857, 44896, 42576, 18311, 58088, 16435, 21256, 40753, 16429, 49727, 25650, 42611, 16582, 16582, 16434, 17681, 21610, 16751, 28006, 58353, 16604, 16391, 39719, 32380, 16441, 16423, 19186, 16392, 16582, 23934, 16397, 16395, 16790, 36020, 16397, 16395, 16582, 16582, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 19733, 19621, 18837, 16395, 16582, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16650, 25379, 16409, 36028, 16727, 16397, 29662, 16395, 27735, 16582, 16696, 16696, 16696, 16650, 16469, 16397, 16582, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16650, 24694, 16723, 16397, 19758, 17933, 16397, 16604, 16400, 16400, 16396, 16399, 16399, 16400, 16399, 16405, 16582, 21225, 44896, 42576, 18311, 16395, 16582, 16582, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 21382, 32006, 16397, 16582, 16582, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16650, 19989, 17681, 19429, 16674, 64361, 16582, 16582, 16442, 37492, 18466, 16673, 27770, 18603, 31132, 16672, 17015, 16674, 17233, 30924, 16672, 17015, 16397, 16444, 16582, 16582, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16650, 16759, 16895, 16409, 17907, 16604, 16402, 16399, 16395, 16604, 16401, 16399, 16400, 16402, 16582, 16582, 16696, 16696, 21779, 16799, 16397, 32319, 16674, 32881, 57662, 16395, 27417, 20996, 16604, 16389, 46840, 45913, 16673, 26816, 16395, 20059, 16715, 16582, 19733, 19621, 18837, 21123, 58636, 16604, 16391, 24122, 16990, 51836, 16392, 18035, 16397, 16395, 24574, 16397, 16582, 16582, 16696, 16650, 40742, 17029, 16702, 16397, 16727, 17416, 16454, 17317, 16395, 16832, 16397, 25795, 23472, 17339, 16395, 16674, 18157, 16832, 16397, 23631, 30603, 16395, 17267, 16426, 16855, 44353, 16604, 16389, 23472, 17339, 16673, 16582, 36811, 16395, 23675, 16715, 48167, 16396, 22664, 17281, 16658, 16773, 16786, 19216, 17485, 37328, 16397, 16582, 16582, 16696, 16650, 46086, 16711, 16397, 16759, 24477, 19502, 16395, 40773, 27330, 16395, 33872, 55569, 35936, 16395, 24545, 24132, 16395, 16876, 16397, 16434, 16397, 16582, 39770, 16673, 23234, 16715, 56176, 18303, 18644, 16397, 18419, 16968, 16709, 16647, 21695, 16958, 37955, 16773, 16397, 16582, 28115, 17850, 16395, 38327, 31513, 29427, 27330, 20405, 16395, 60047, 16799, 16397, 45893, 16395, 21068, 16395, 43640, 16582, 16428, 16397, 41857, 16395, 29427, 21068, 16397, 19525, 24221, 16709, 16647, 21695, 16763, 21902, 16727, 16397, 20758, 16856, 16395, 21146, 16673, 16647, 16582, 39139, 34235, 16715, 32951, 25185, 16673, 20059, 16395, 23675, 16397, 16582, 16582, 16696, 16650, 42388, 63880, 16790, 16397, 54985, 36623, 16395, 54396, 16711, 16397, 39018, 16395, 16674, 31535, 31898, 16744, 16395, 57475, 26261, 45913, 16673, 16582, 36811, 16395, 23675, 16715, 56176, 16396, 22664, 17281, 16658, 21026, 32683, 19639, 16395, 19376, 16397, 16582, 16582, 16696, 16650, 29662, 16395, 27735, 16409, 17170, 43673, 18865, 25290, 16647, 16876, 16397, 16434, 16397, 19542, 16673, 16582, 16582, 55675, 16743, 16466, 16604, 16391, 16894, 55675, 16900, 16392, 25432, 27770, 18603, 16673, 16647, 18241, 16699, 39520, 24282, 17970, 16582, 16582, 61037, 46898, 16396, 32202, 16661, 16395, 35032, 16396, 18132, 28721, 16661, 58987, 16815, 19391, 16397, 21125, 46898, 16396, 32202, 16661, 16395, 16582, 16582, 54375, 16396, 18132, 28721, 16661, 58987, 16674, 34513, 49191, 17664, 17663, 16815, 16647, 20528, 16743, 16466, 19882, 16673, 16582, 16582, 30173, 16395, 16604, 16406, 16405, 29142, 16397, 19142, 16397, 16604, 16400, 16404, 16395, 16401, 16408, 16406, 16604, 16391, 25494, 16743, 16467, 16673, 30961, 17853, 16397, 16604, 16401, 16400, 16395, 16604, 16401, 16399, 16400, 16400, 16392, 16604, 16391, 23563, 18466, 29233, 16397, 16582, 16584, 24694, 16723, 16397, 19758, 17933, 16397, 16604, 16400, 16400, 16396, 16399, 16399, 16400, 16399, 16405, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 26318, 16604, 16401, 16582, 16582, 35288, 16392, 16395, 16741, 33891, 16809, 16604, 16406, 16405, 29142, 16397, 19142, 16397, 16604, 16401, 16402, 16395, 16404, 16403, 16402, 16604, 16391, 25494, 16743, 16467, 16673, 30961, 18733, 16397, 16604, 16401, 16406, 16395, 16604, 16401, 16399, 16400, 16400, 16392, 16582, 16582, 16391, 16707, 18158, 18551, 18466, 29233, 16397, 18603, 16392, 16604, 16391, 38954, 18444, 16395, 16604, 16894, 37492, 28992, 16900, 16392, 16410, 17134, 17027, 36121, 16674, 16582, 16582, 27149, 17570, 56468, 44816, 16715, 28721, 16661, 58987, 16815, 19391, 16395, 16711, 16396, 16404, 16406, 16399, 16396, 16407, 16407, 16407, 16604, 16391, 29414, 16604, 16401, 16401, 16395, 16604, 16401, 16399, 16400, 16400, 16392, 16395, 16582, 16582, 34469, 16767, 19562, 16409, 16398, 16398, 16915, 16397, 20947, 16397, 21606, 16397, 24992, 16398, 20544, 16461, 16398, 23580, 16398, 20714, 16418, 16398, 16401, 16399, 16400, 16400, 16396, 16405, 16404, 16404, 16407, 16396, 16400, 16397, 26338, 16604, 16391, 22561, 24978, 16811, 16582, 16582, 18845, 16392, 16604, 16391, 16894, 27149, 17570, 56468, 44816, 16900, 16392, 16397, 16696, 16696, 24464, 16647, 19124, 16769, 16647, 27830, 28992, 16673, 16582, 16582, 24979, 63539, 18057, 16395, 28377, 16421, 17933, 16397, 16604, 16407, 16404, 16604, 16391, 16385, 23973, 16770, 28992, 16385, 16392, 23165, 16809, 30961, 33584, 16671, 21123, 16582, 16582, 35935, 18193, 16604, 16391, 24122, 16990, 51836, 16392, 18035, 16397, 16776, 16397, 18303, 18644, 16395, 19921, 16723, 16397, 19758, 17933, 16397, 16604, 16400, 16400, 16396, 16400, 16399, 16405, 16395, 28377, 16421, 17933, 16397, 16604, 16407, 16400, 16582, 16582, 16391, 27639, 16397, 16604, 16400, 16403, 16395, 16604, 16401, 16399, 16400, 16401, 16392, 16604, 16391, 16894, 23097, 58636, 16900, 16392, 16604, 16391, 19434, 17233, 42450, 16671, 30961, 16392, 16397, 16772, 19124, 16872, 16582, 16582, 16457, 16713, 16656, 29982, 33584, 16671, 23728, 16604, 16404, 16400, 16405, 16416, 16391, 16448, 16392, 16391, 16401, 16392, 16391, 16417, 16392, 16391, 33410, 16392, 16673, 16647, 30895, 18837, 18899, 16673, 16604, 16400, 16408, 16402, 16399, 16395, 16741, 33891, 16395, 16582, 16582, 16400, 16408, 16876, 16397, 16434, 16397, 16418, 16397, 16604, 25660, 16604, 16400, 16404, 16400, 16405, 16448, 16391, 16448, 16392, 16391, 16401, 16392, 16391, 16417, 16392, 16391, 33410, 16392, 16604, 16391, 16401, 16399, 16399, 16405, 16392, 16395, 16400, 16674, 16604, 16401, 16407, 16876, 16397, 16434, 16397, 16418, 16397, 16604, 25660, 16604, 16400, 16404, 16407, 16400, 16391, 16450, 16392, 16604, 16391, 16401, 16399, 16399, 16405, 16392, 16397, 16582, 16582, 16696, 16650, 41796, 26428, 21123, 58636, 16604, 16391, 24122, 16990, 51836, 16392, 18035, 16397, 16395, 24574, 16397, 16604, 16391, 16894, 23097, 58636, 16900, 16392, 16674, 16773, 16786, 19216, 16582, 16582, 18564, 37328, 62621, 16457, 17060, 19141, 16470, 18552, 16604, 16389, 24488, 16470, 18552, 18035, 16397, 16395, 24574, 16397, 16604, 16391, 16894, 16421, 16786, 19216, 17485, 37328, 16900, 16392, 17490, 16582, 16582, 46896, 20051, 30961, 16743, 16466, 19144, 19978, 22525, 16410, 16773, 16786, 19216, 17485, 37328, 21532, 16582, 16582, 55675, 16743, 16466, 50764, 16674, 26711, 62107, 38899, 16410, 16674, 21123, 58636, 16582, 16582, 46896, 40005, 30961, 16743, 16466, 34096, 25845, 62107, 38899, 16674, 21800, 28058, 18960, 62107, 16582, 16582, 33373, 16397, 16401, 16650, 21125, 21123, 58636, 24541, 16671, 21496, 16770, 28992, 16395, 28377, 16421, 17933, 16397, 16604, 16408, 16399, 16582, 16582, 16582, 16400, 16582, 16650, 30200, 55607, 16671, 16647, 30895, 18837, 18899, 16673, 16604, 16400, 16408, 16402, 16399, 16395, 16741, 33891, 16395, 16769, 16671, 16647, 21646, 26916, 16582, 17663, 31156, 16604, 16400, 16408, 16673, 16647, 16876, 16397, 16434, 16397, 24245, 16395, 16604, 16401, 16399, 16399, 16405, 23881, 16397, 16582, 16401, 16582, 16650, 23097, 58636, 17027, 27482, 16671, 20929, 30961, 16743, 16466, 50764, 16674, 26711, 16582, 16391, 16894, 16417, 16389, 16423, 16900, 16392, 38899, 16395, 16850, 16647, 19124, 16955, 16671, 58225, 16647, 18710, 61380, 16715, 22155, 16671, 41031, 16582, 55736, 16647, 21981, 16397, 21123, 58636, 16767, 16604, 16406, 16410, 17134, 17027, 21026, 17359, 17388, 16397, 21849, 16743, 16459, 16395, 19376, 16397, 16776, 16397, 18303, 16582, 52697, 16395, 17933, 16397, 16604, 16400, 16400, 16396, 16399, 16399, 16400, 16399, 16403, 16604, 16391, 26208, 16397, 16604, 16402, 16395, 16604, 16401, 16399, 16400, 16401, 16392, 16395, 28377, 16421, 17933, 16397, 16604, 16405, 16401, 16604, 16391, 19434, 21813, 17715, 20929, 16671, 16738, 16389, 16423, 16582, 16582, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16604, 16391, 50142, 20726, 16392, 16582, 16584, 24694, 16723, 16397, 19758, 17933, 16397, 16604, 16400, 16400, 16396, 16399, 16399, 16400, 16399, 16405, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16650, 26318, 16604, 16402, 16582, 16582, 16391, 16894, 25688, 21496, 16770, 18219, 16397, 16900, 16392, 16410, 16773, 16786, 19216, 17485, 37328, 24541, 16671, 21496, 16770, 28992, 16395, 28377, 16421, 17933, 16397, 16604, 16407, 16408, 16604, 16391, 16894, 26278, 16582, 16582, 23973, 16770, 18219, 16397, 16900, 16392, 16397, 16772, 19124, 20933, 18025, 30961, 16743, 16466, 21800, 28058, 18960, 38899, 16674, 34096, 16582, 16582, 46388, 17404, 38899, 16395, 16850, 17233, 18376, 16647, 18707, 16673, 19144, 23439, 16395, 16674, 50764, 16674, 16582, 16582, 20739, 17805, 16671, 30961, 16715, 18613, 25381, 16397, 16582, 16582, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16650, 16687, 16397, 28047, 16673, 21242, 16582, 16582, 16696, 16696, 18811, 35486, 30961, 16390, 16466, 18241, 16699, 39520, 18638, 22928, 17131, 16604, 16400, 16408, 16876, 16397, 16434, 16397, 16418, 16397, 16582, 16582, 25660, 16604, 16400, 16404, 16400, 16405, 16448, 16391, 16448, 16392, 16391, 16401, 16392, 16391, 16417, 16392, 16391, 33410, 16392, 16674, 16604, 16401, 16407, 16876, 16397, 16434, 16397, 16418, 16397, 16604, 25660, 16604, 16400, 16404, 16407, 16400, 16391, 16450, 16392, 16395, 16647, 16876, 16397, 16434, 16397, 19758, 16673, 19639, 26682, 16582, 16582, 16466, 16803, 18025, 30961, 16390, 16466, 16604, 16894, 48836, 22928, 16395, 23806, 16395, 16785, 32458, 16900, 21224, 16873, 16769, 16582, 16582, 16894, 24477, 18281, 24554, 16809, 26253, 19591, 16709, 16647, 18156, 16395, 16785, 21327, 16804, 16672, 25828, 16734, 16582, 16582, 23098, 16397, 16900, 16650, 16604, 16400, 16408, 16876, 16397, 16434, 16397, 16418, 16397, 16604, 25660, 16604, 16400, 16404, 16400, 16405, 16448, 16391, 16449, 16392, 16391, 16400, 16392, 16391, 16417, 16392, 16391, 16456, 16392, 16397, 16696, 19253, 22365, 16395, 17014, 35486, 21912, 16582, 16582, 48836, 22928, 16395, 23806, 16395, 16785, 32458, 16715, 26253, 19591, 16395, 16647, 19124, 20114, 16659, 16582, 16582, 45497, 16647, 21912, 18865, 16704, 23655, 18201, 16647, 18156, 16741, 16641, 18456, 16397, 16793, 18438, 16645, 30659, 16582, 16582, 58908, 16397, 16776, 16397, 18303, 18644, 16395, 16604, 16403, 16404, 16407, 16773, 16397, 16402, 16451, 16604, 16400, 16402, 16403, 16404, 16395, 16604, 16400, 16402, 16404, 16399, 16396, 16404, 16400, 16604, 16391, 60262, 16397, 32726, 16397, 16604, 16401, 16399, 16399, 16405, 16392, 16397, 21064, 63945, 19591, 16582, 16582, 22657, 16992, 20101, 16741, 16604, 16385, 28124, 21646, 19591, 16741, 16641, 23655, 18282, 17699, 18955, 16741, 16582, 16582, 34848, 16758, 16671, 17564, 16641, 25228, 16397, 16385, 19921, 16723, 16397, 55589, 18035, 16397, 16776, 16397, 16793, 34028, 16417, 16395, 16604, 16402, 16399, 16404, 16876, 16397, 16434, 16397, 16604, 16400, 16408, 16406, 16395, 16604, 16401, 16401, 16408, 16582, 16582, 16391, 16400, 16408, 16402, 16407, 16392, 16397, 21064, 63945, 19591, 16872, 17027, 16992, 20101, 16741, 16604, 16385, 35842, 17827, 17032, 16647, 16582, 16582, 24056, 16673, 16647, 19591, 16395, 16674, 16647, 23384, 16673, 25007, 17142, 40207, 32458, 16815, 16582, 16582, 17347, 19591, 17257, 16804, 19650, 16667, 27770, 21912, 16390, 16466, 21311, 16815, 17255, 22148, 16582, 16582, 17770, 26253, 19591, 16397, 16385, 19921, 25311, 16776, 16397, 29142, 16397, 17853, 16397, 17870, 16390, 16461, 16395, 16604, 16402, 16407, 16402, 16876, 16397, 16434, 16397, 16604, 16405, 16399, 16406, 16395, 16604, 16405, 16401, 16399, 16604, 16391, 16400, 16408, 16405, 16405, 16392, 16397, 16582, 16582, 16582, 16582, 33051, 16392, 16395, 16741, 33891, 16395, 28377, 16421, 17933, 16397, 16604, 16405, 16402, 16410, 21026, 17359, 17388, 21849, 16743, 16459, 16395, 19376, 16397, 16776, 16397, 18303, 18644, 16395, 16604, 16402, 16405, 16719, 18317, 16582, 16446, 16446, 16446, 16395, 16604, 16446, 16446, 16446, 16395, 16604, 16407, 16402, 16406, 16773, 16397, 21037, 16397, 16604, 16401, 16451, 16604, 16400, 16401, 16408, 16403, 16395, 16604, 16400, 16402, 16399, 16399, 16396, 16400, 16402, 16399, 16401, 16604, 16391, 16401, 16399, 16400, 16401, 16392, 16410, 20834, 17135, 17233, 16770, 16395, 21026, 17359, 17388, 16397, 16582, 21643, 16743, 16459, 16395, 19376, 16397, 16776, 16397, 18303, 18644, 16395, 16604, 16402, 16405, 16719, 18317, 16604, 16446, 16446, 16446, 16395, 16604, 16407, 16404, 16402, 16773, 16397, 21037, 16397, 16604, 16401, 16451, 16604, 16400, 16401, 16404, 16406, 16604, 16391, 16401, 16399, 16400, 16401, 16392, 16397, 16582, 16584, 24694, 16723, 16397, 19758, 17933, 16397, 16604, 16400, 16400, 16396, 16399, 16399, 16400, 16399, 16405, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16650, 26318, 16604, 16403, 16582, 16582, 38824, 18395, 16834, 16395, 17891, 16395, 16604, 16385, 19541, 63945, 19591, 16385, 16704, 17514, 23999, 16741, 16641, 19189, 24790, 16582, 16582, 16979, 18060, 16661, 18188, 16775, 53532, 18603, 16397, 16696, 16604, 16402, 23085, 16751, 16397, 43686, 16395, 24538, 16397, 16395, 43651, 19782, 16674, 16582 ]
[ 0, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 30988, 16418, 18525, 20512, 30196, 16582, 16582, 16696, 16650, 21857, 44896, 42576, 18311, 58088, 16435, 21256, 21337, 23054, 42737, 16582, 16696, 16696, 16696, 29565, 20084, 21571, 20678, 16419, 16719, 20678, 59208, 18317, 16582, 16696, 16696, 16696, 16696, 16604, 16446, 16446, 16446, 16446, 16446, 16446, 16446, 16446, 16446, 16446, 16446, 16446, 16446, 16582, 16582, 16696, 16696, 16696, 16696, 16696, 17933, 16397, 16604, 16400, 16405, 16396, 16400, 16403, 16405, 16400, 16582, 16696, 16696, 16696, 16696, 16696, 16446, 16446, 16446, 16446, 16446, 16446, 16446, 16446, 16446, 16446, 16446, 16446, 16446, 16582, 16582, 16696, 16696, 16696, 16425, 35225, 26205, 38586, 18629, 23934, 16700, 17681, 20718, 16582, 16696, 35797, 16416, 37811, 57439, 33458, 21794, 16395, 35797, 16416, 22031, 44974, 16395, 16582, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16431, 29107, 16646, 16582, 16582, 16696, 16696, 16696, 16696, 16696, 16696, 16650, 16776, 16397, 16582, 16582, 40122, 18092, 62638, 64611, 18189, 21857, 44896, 42576, 18311, 21256, 19837, 17528, 39894, 16395, 16582, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16650, 63249, 16682, 16582, 16696, 16696, 16696, 16650, 16446, 16446, 16446, 16446, 16446, 16446, 16446, 16446, 16446, 16446, 16446, 16446, 16446, 16446, 16582, 16582, 16696, 16650, 17813, 51643, 16715, 21242, 16673, 16641, 42886, 16673, 16647, 16582, 16696, 16696, 16650, 32384, 18644, 19542, 16673, 23234, 16582, 16696, 16696, 16696, 45105, 16673, 38380, 39967, 16582, 16696, 16696, 16696, 16696, 16696, 16604, 16391, 16416, 16399, 16403, 16399, 16396, 16399, 16400, 16404, 16396, 16399, 16407, 16401, 16392, 16582, 16696, 16696, 40707, 21868, 27735, 16409, 31310, 16711, 16397, 28182, 17805, 16582, 16696, 16696, 16696, 16696, 16696, 16446, 16446, 16446, 16446, 16446, 16446, 16446, 16446, 16446, 16446, 16446, 16446, 16446, 16446, 16582, 16582, 16696, 16696, 16696, 16696, 26967, 18268, 19160, 16604, 16400, 16408, 16395, 16604, 16401, 16399, 16400, 16407, 16582, 16696, 16696, 16696, 16696, 16650, 16604, 16446, 16446, 16446, 16446, 16446, 16446, 16446, 16446, 16446, 16446, 16446, 16446, 16446, 16446, 16582, 16582, 16650, 25379, 16409, 27508, 27881, 16395, 22306, 27735, 16395, 40035, 18144, 43025, 22809, 16395, 49818, 16397, 16395, 16674, 16582, 16696, 16696, 16696, 16650, 16426, 21162, 34206, 16395, 32638, 56515, 16397, 16582, 16582, 16696, 16696, 16650, 16391, 26847, 34611, 61366, 16409, 19118, 16604, 16403, 16395, 16604, 16401, 16399, 16400, 16408, 16392, 16582, 16584, 16696, 16696, 16696, 16696, 16696, 16650, 16446, 16446, 16446, 16446, 16446, 16446, 16446, 16446, 16446, 16446, 16446, 16446, 16446, 16446, 16582, 16582, 16696, 16696, 16696, 16696, 16696, 16696, 23907, 17681, 19429, 16582, 16696, 16696, 16696, 16696, 16696, 16650, 16446, 16446, 16446, 16446, 16446, 16446, 16446, 16446, 16446, 16446, 16446, 16446, 16446, 16446, 16582, 16582, 38897, 16793, 16397, 21650, 28532, 16604, 16442, 18016, 39719, 18525, 16444, 16582, 23358, 28532, 19782, 40065, 16582, 16402, 16404, 16403, 16406, 63019, 25853, 41191, 16582, 53828, 16604, 16400, 16399, 16403, 16582, 38038, 48171, 16395, 34186, 16604, 16403, 16408, 16404, 16403, 16403, 16582, 16696, 16650, 27330, 16715, 51643, 16646, 16582, 16582, 16582, 21755, 28332, 16855, 16793, 16397, 16751, 25834, 16604, 16442, 18016, 39719, 18525, 16444, 16582, 32384, 18644, 19542, 16673, 23234, 16582, 44250, 16673, 38380, 55569, 16582, 16431, 16397, 16430, 16397, 26777, 16604, 16407, 16406, 16407, 16582, 29763, 31154, 26664, 16582, 36811, 16395, 23675, 16604, 16401, 16399, 16399, 16403, 16403, 16582, 16696, 16650, 27330, 16715, 64518, 16582, 16582, 16582, 55847, 18144, 43025, 22809, 16395, 49818, 16397, 16395, 32638, 27735, 16397, 16582, 16582, 16696, 16650, 16875, 26313, 19246, 16395, 16742, 16769, 18047, 16671, 22064, 18515, 16582, 19583, 44527, 16641, 19409, 16815, 18021, 17961, 16888, 19893, 16396, 16833, 16396, 17663, 16396, 24604, 18441, 16582, 26771, 41934, 34690, 17181, 17107, 16843, 16703, 61449, 16734, 16647, 16582, 27691, 16396, 41911, 16839, 34522, 16673, 16647, 30470, 26949, 55273, 16673, 16647, 16582, 62542, 16757, 30066, 16397, 16582, 16582, 16696, 16650, 16875, 16804, 16859, 26313, 19246, 16395, 17131, 16647, 17178, 20529, 19949, 16604, 16407, 16876, 16397, 16434, 16397, 16418, 16397, 16582, 25660, 16604, 16400, 16403, 16402, 16401, 16391, 16448, 16392, 16391, 16401, 16392, 16395, 16641, 16604, 16894, 26771, 16900, 19893, 19067, 16673, 16647, 18303, 18644, 16671, 16582, 23786, 16450, 58104, 19326, 19262, 16641, 28441, 19028, 16647, 19588, 17873, 16673, 16582, 16582, 16582, 16582, 16582, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16650, 16401, 16582, 16584, 16761, 36470, 18521, 16980, 16917, 16673, 16968, 19326, 16763, 37906, 16397, 16400, 16582, 31969, 16604, 16400, 16400, 16399, 16400, 16391, 16450, 16392, 16391, 16400, 16392, 16672, 17762, 21365, 16604, 16894, 26771, 16900, 16741, 17789, 16641, 17486, 16582, 22687, 16891, 16673, 45548, 18441, 17097, 16672, 16859, 17963, 16741, 16647, 17486, 16763, 24705, 33091, 16582, 20876, 16647, 16604, 16894, 23098, 16673, 16647, 17486, 16743, 16466, 28468, 16785, 18911, 16675, 16967, 16900, 16785, 16604, 16894, 17347, 17780, 16582, 17663, 16647, 19409, 16743, 16466, 28468, 16785, 18911, 16675, 16967, 16604, 16397, 16604, 16397, 16604, 16397, 20302, 16741, 21327, 16582, 62018, 16672, 16604, 16397, 16604, 16397, 16604, 16397, 16900, 16604, 25660, 16604, 16400, 16403, 16402, 16401, 16397, 16604, 16407, 16876, 16397, 16434, 16397, 16418, 16397, 16604, 25660, 16604, 16400, 16400, 16399, 16400, 16391, 16450, 16392, 16391, 16400, 16392, 16397, 23728, 16582, 16400, 16403, 16402, 16401, 16391, 16448, 16392, 16391, 16402, 16392, 35495, 16891, 16647, 62007, 49810, 16758, 16674, 33490, 16665, 30472, 16582, 17663, 19893, 16396, 16833, 16396, 17663, 16396, 24604, 18441, 17968, 16815, 16647, 24705, 26602, 16582, 27467, 16797, 16809, 51092, 22006, 16721, 16604, 16894, 17347, 19588, 17873, 16673, 16647, 16582, 27452, 16900, 16763, 23454, 16604, 16894, 16736, 16647, 17486, 16763, 19893, 16891, 16673, 45548, 18441, 16582, 16770, 16647, 16664, 35947, 16673, 16647, 17486, 16872, 16804, 16992, 20916, 16809, 16582, 18457, 16654, 26602, 16604, 16397, 16604, 16397, 16604, 16397, 16604, 16397, 16900, 21125, 16604, 25660, 16604, 16400, 16403, 16402, 16401, 16391, 16448, 16392, 16391, 16402, 16392, 16397, 16582, 16582, 16696, 16650, 17376, 16641, 17539, 16395, 16604, 25660, 25660, 16604, 16400, 16400, 16399, 16400, 16391, 16450, 16392, 16391, 16400, 16392, 16395, 16604, 16400, 16403, 16402, 16401, 16391, 16448, 16392, 16391, 16401, 16392, 16674, 16604, 16391, 16448, 16392, 16391, 16402, 16392, 22140, 16582, 44913, 16674, 18102, 27577, 16409, 16641, 19588, 17521, 19082, 17120, 16582, 21527, 18889, 16968, 34690, 16671, 16968, 16891, 16396, 17663, 16396, 24604, 18441, 17486, 16395, 24704, 16582, 17663, 18515, 16647, 19409, 16763, 23715, 16410, 25743, 16641, 19588, 17521, 19409, 16672, 16582, 17347, 17396, 18583, 16955, 16647, 19642, 26012, 16673, 17961, 16671, 16582, 18457, 55065, 16647, 17486, 16672, 17970, 16671, 32670, 16888, 34690, 16397, 16582, 16582, 16696, 16650, 19736, 17875, 19039, 16704, 16804, 16734, 16811, 33868, 16582, 53244, 16395, 18919, 16397, 17673, 56422, 21399, 16671, 32011, 16664, 35947, 16395, 16582, 25784, 24705, 26602, 16395, 17123, 16703, 18711, 16980, 16641, 28441, 18521, 16704, 16667, 16582, 16720, 24604, 19409, 16872, 16734, 23240, 30972, 38649, 16672, 16647, 18074, 16395, 16582, 16645, 16647, 20445, 16721, 16647, 24511, 17415, 16641, 19082, 16674, 16641, 17486, 16604, 16894, 16656, 16582, 16722, 34757, 16815, 16647, 20344, 19302, 16395, 16900, 16674, 41023, 16604, 16894, 17347, 19560, 16582, 16582, 16696, 16650, 16604, 16400, 16582, 16696, 16696, 17673, 16704, 16395, 19194, 16721, 16604, 16391, 16400, 16392, 16647, 19588, 17873, 19198, 17617, 16582, 20703, 16647, 17486, 16704, 17131, 45482, 17202, 17719, 16395, 16674, 16604, 16391, 16401, 16392, 16604, 16391, 16448, 16392, 16647, 17486, 16582, 16656, 40849, 16672, 16647, 18303, 18644, 16741, 16641, 50234, 24942, 22786, 16582, 26760, 16647, 18521, 19588, 20847, 16785, 16604, 16391, 16449, 16392, 39545, 23159, 16671, 43849, 16582, 16874, 17392, 17929, 17437, 17131, 16647, 18702, 16673, 45482, 16397, 16604, 16407, 16876, 16397, 16434, 16397, 16418, 16397, 16582, 25660, 16604, 16400, 16403, 16402, 16401, 16391, 16448, 16392, 16391, 16403, 16392, 16604, 16389, 16604, 16391, 16404, 16392, 16397, 16582, 16582, 16582, 16582, 16582, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16402, 16582, 16584, 17756, 16647, 18356, 16673, 16641, 18774, 17415, 28441, 18521, 16582, 16770, 17486, 16604, 16397, 16604, 16397, 16604, 16397, 16604, 16397, 16900, 59764, 16776, 16397, 54878, 16397, 16395, 16604, 16404, 16402, 16402, 16876, 16397, 16434, 16397, 16604, 16404, 16402, 16395, 16604, 16405, 16401, 16395, 16604, 16405, 16404, 16604, 16391, 16401, 16399, 16399, 16400, 16392, 16410, 16582, 19914, 17027, 17572, 55986, 16776, 16397, 29662, 16395, 16604, 16403, 16402, 16399, 16876, 16397, 16434, 16397, 16604, 16406, 16405, 16401, 16395, 16604, 16406, 16406, 16400, 16604, 16391, 16400, 16408, 16406, 16406, 16392, 16604, 16391, 16894, 16853, 16582, 19502, 19348, 19153, 16673, 36802, 16664, 35947, 17699, 31309, 16641, 16582, 19502, 30447, 19749, 16715, 33833, 55065, 17968, 28707, 16582, 20876, 16914, 37197, 16743, 55691, 17032, 16721, 19062, 16715, 16604, 16442, 44167, 16444, 16582, 24867, 16661, 17131, 16914, 30472, 16743, 55691, 16604, 16397, 16604, 16397, 16604, 16397, 16604, 16397, 16900, 16604, 16391, 16746, 51325, 18973, 16392, 16392, 16397, 16582, 51873, 16395, 16945, 16672, 17572, 55986, 16395, 16647, 17875, 19039, 16704, 16734, 16641, 19409, 16582, 26345, 24237, 17036, 44072, 16815, 17961, 16888, 16891, 16396, 17663, 16396, 24604, 18441, 17486, 16582, 16896, 16802, 17181, 17107, 16397, 17170, 18234, 17097, 39676, 17187, 16647, 17486, 16743, 16466, 16582, 27452, 16704, 37906, 16395, 16674, 16647, 17097, 53306, 16715, 24705, 26602, 17131, 16582, 17347, 21646, 17780, 16704, 17181, 16647, 22081, 16673, 16647, 19326, 16397, 16875, 16721, 16582, 27818, 16395, 19588, 17521, 37197, 19108, 32670, 16914, 34690, 16582, 16928, 16914, 16891, 16396, 17663, 16396, 24604, 18441, 17968, 16741, 16641, 17539, 16673, 16647, 63929, 16582, 39130, 16604, 25660, 25660, 16604, 16400, 16400, 16399, 16400, 16391, 16450, 16392, 16674, 16604, 16400, 16403, 16402, 16401, 16391, 16448, 16392, 16391, 16401, 16392, 16395, 25743, 19588, 17521, 16582, 27452, 16466, 16843, 19565, 16767, 17965, 16604, 25660, 16604, 16400, 16403, 16402, 16401, 16604, 16391, 16448, 16392, 16391, 16402, 16392, 16397, 16582, 16582, 16696, 16696, 35030, 16704, 16647, 17843, 16734, 16647, 27182, 17329, 16907, 16397, 51643, 16646, 16582, 36529, 23800, 16700, 16856, 16462, 16763, 19893, 16672, 16647, 49870, 19882, 16671, 16582, 16720, 24604, 17975, 16450, 58104, 19326, 16929, 17579, 21555, 16397, 18713, 19409, 16582, 16460, 28948, 16671, 16647, 18303, 18644, 16674, 19588, 17521, 16397, 18713, 17975, 16450, 58104, 16582, 27452, 18977, 17135, 20493, 17915, 16397, 18073, 16647, 17005, 16395, 17131, 16647, 17780, 16673, 16582, 51275, 16888, 16785, 16888, 19409, 16743, 16466, 28468, 16785, 18911, 16675, 16967, 17205, 17347, 49870, 16582, 41816, 16674, 17360, 18533, 17205, 18457, 16654, 26602, 17120, 17097, 19947, 16980, 16888, 16582, 39060, 19326, 21555, 16397, 17465, 16700, 16856, 16462, 16743, 16466, 19409, 16763, 24237, 17036, 44072, 16582, 20563, 17961, 16888, 19008, 41934, 34690, 17181, 17107, 16395, 21051, 16582, 26345, 16641, 28441, 16674, 17961, 35414, 16715, 16888, 19008, 18015, 16647, 17486, 16763, 16582, 16401, 16400, 17202, 17719, 16397, 17813, 16647, 16655, 35508, 16673, 17255, 22111, 16815, 16647, 18303, 16582, 52697, 16741, 16641, 17975, 16450, 58104, 16395, 16700, 16856, 16462, 22632, 16811, 40950, 30066, 16582, 46896, 20051, 16671, 16647, 21646, 26916, 16709, 25751, 16673, 16888, 17178, 16582, 17094, 16718, 17228, 19588, 17521, 19409, 16397, 16696, 16696, 16650, 17119, 18262, 16721, 16395, 16672, 16811, 16582, 28214, 16768, 51098, 16395, 16647, 63929, 16673, 16604, 25660, 25660, 16604, 16400, 16400, 16399, 16400, 16391, 16450, 16392, 16391, 16400, 16392, 16395, 16604, 16400, 16403, 16402, 16401, 16391, 16448, 16392, 16391, 16401, 16392, 16674, 16582, 16391, 16448, 16392, 16391, 16402, 16392, 19108, 16703, 61449, 16734, 16647, 21895, 16396, 41911, 16839, 34522, 16673, 16582, 16582, 16582, 16582, 16582, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16650, 16604, 16403, 16582, 16584, 17347, 30470, 26949, 55273, 16673, 16647, 40950, 30066, 16397, 17119, 16868, 16582, 25755, 17167, 21172, 16700, 16856, 16462, 16743, 16466, 27182, 16397, 16582, 16582, 16696, 16696, 16696, 16696, 16696, 16696, 16650, 16424, 16397, 47377, 16582, 16582, 16696, 16696, 16696, 16696, 16711, 16397, 17389, 23213, 16672, 16647, 18303, 18644, 16582, 16582, 16696, 16650, 16700, 16856, 16462, 16763, 19893, 16672, 16647, 49870, 19882, 16709, 19160, 16582, 16400, 16405, 16395, 16604, 16400, 16408, 16405, 16408, 16397, 18713, 19326, 16395, 17490, 21832, 16673, 16647, 49870, 16582, 41816, 16395, 17579, 21555, 16397, 18713, 19409, 16395, 30614, 23136, 16700, 16856, 16462, 16395, 20232, 16671, 16582, 17347, 18303, 18644, 16674, 19262, 16641, 19588, 17521, 16876, 16397, 16434, 16397, 28441, 16672, 16582, 16400, 16408, 16407, 16400, 16397, 21821, 17202, 18242, 16395, 16888, 19409, 21555, 16641, 19675, 24942, 16582, 25839, 16397, 16582, 16582, 16696, 16696, 16435, 16856, 16462, 18112, 16671, 18209, 16734, 16888, 19409, 18266, 16888, 20344, 19082, 16582, 16451, 17245, 16672, 16604, 16400, 16408, 16407, 16403, 16397, 17046, 16763, 25170, 16671, 16647, 18303, 18644, 16741, 16641, 50234, 16582, 16874, 17392, 16682, 22786, 16709, 18850, 16604, 16400, 16404, 16395, 16604, 16400, 16408, 16407, 16404, 16395, 33584, 16671, 16667, 28739, 16582, 47746, 27182, 23165, 16809, 16888, 18586, 27452, 16397, 17046, 16763, 16604, 16400, 16404, 17202, 17719, 16582, 16649, 16647, 17005, 16674, 21611, 16734, 16888, 19409, 18015, 16733, 19678, 16604, 16401, 16400, 16672, 16604, 16400, 16408, 16408, 16399, 16397, 16582, 16582, 16696, 16696, 16696, 16696 ]
[ 0, 16396, 16396, 16396, 16582, 38841, 16409, 16604, 16390, 17071, 17731, 18692, 20609, 16395, 43350, 21045, 27475, 16671, 16647, 21535, 16673, 52661, 16641, 52612, 55075, 17650, 18201, 48029, 27615, 19359, 16671, 16647, 17650, 16397, 17119, 32889, 16667, 59092, 20543, 17662, 16673, 43350, 21045, 24267, 16397, 16772, 19744, 16396, 17663, 16396, 16449, 21253, 19329, 16872, 64525, 20431, 16409, 21191, 20543, 18619, 16843, 16703, 23540, 16672, 26965, 16395, 16674, 22926, 35677, 16843, 16703, 27609, 16815, 16647, 20854, 20776, 40946, 16671, 50872, 16647, 40986, 20341, 16397, 17999, 17802, 59092, 20543, 18619, 16395, 16742, 29527, 16641, 30567, 18537, 16456, 18674, 24291, 16715, 18905, 17063, 31446, 16734, 16641, 18905, 17063, 22835, 31901, 43972, 26435, 16715, 43350, 21045, 16397, 16772, 23526, 23914, 16704, 24305, 26524, 16674, 16742, 17299, 16672, 35131, 25717, 16721, 16647, 27489, 16673, 16647, 28338, 18526, 16767, 16641, 54361, 19031, 16672, 38529, 16397, 17119, 21177, 16647, 36669, 16673, 16647, 21270, 20543, 18619, 17131, 28479, 31542, 16397, 49443, 16956, 25717, 16769, 19194, 16709, 32630, 20609, 16395, 17789, 16641, 20989, 16673, 20349, 16396, 16642, 17024, 17225, 28101, 16395, 16674, 16641, 29195, 32066, 19574, 16396, 28967, 16737, 16735, 18528, 16734, 16667, 17371, 17297, 16925, 23052, 24892, 16397, 16390, 16582, 26371, 16409, 16582, 16396, 16604, 16475, 16582, 16696, 54770, 16799, 16397, 28742, 16442, 16445, 16400, 16444, 16443, 16582, 16696, 39770, 16673, 34243, 16395, 29503, 18059, 16443, 16582, 16696, 42388, 27154, 25112, 24666, 16674, 21902, 16738, 16397, 18609, 23788, 16443, 16582, 16696, 39770, 16673, 22698, 22519, 16395, 16876, 55018, 20941, 18059, 16582, 16449, 34289, 20147, 16409, 16582, 16396, 16604, 16390, 16417, 34289, 16462, 16397, 54690, 16390, 16582, 23718, 16409, 16604, 16390, 16393, 16393, 16434, 22019, 21045, 16734, 36129, 55208, 16673, 28805, 19297, 18748, 17972, 21469, 17500, 16393, 16393, 16390, 16582, 16396, 16396, 16396, 16582, 16582, 16443, 16386, 16400, 16582, 16582, 16442, 16393, 43095, 16409, 16393, 16444, 16474, 16476, 22327, 55208, 16395, 31239, 43494, 16395, 31239, 43350, 21045, 16395, 18537, 16456, 18674, 22658, 16395, 26965, 44541, 16397, 16582, 16582, 38194, 16443, 16442, 19810, 16409, 16974, 27929, 16443, 16444, 16582, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16582, 16582, 21010, 16666, 16674, 19014, 16582, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16582, 16582, 17071, 17731, 18692, 20609, 16395, 16647, 28101, 16769, 22140, 16741, 48029, 27615, 19359, 16671, 16667, 26592, 52612, 55075, 17650, 16397, 16772, 18234, 16673, 43350, 21045, 27475, 16671, 16647, 38483, 16673, 62005, 16673, 16647, 26592, 17650, 18201, 16647, 28101, 16604, 16442, 16415, 16450, 51970, 16409, 16881, 17982, 16409, 16401, 16399, 16399, 16403, 16444, 16397, 17544, 31471, 17731, 24890, 16674, 25544, 49971, 20609, 16395, 43350, 21045, 16843, 16703, 20888, 20001, 16397, 16875, 18723, 20609, 16395, 35131, 20958, 16706, 16964, 16769, 19062, 16395, 16674, 17259, 17731, 16396, 17663, 16396, 17347, 16396, 16808, 20625, 16769, 18138, 16709, 31239, 20625, 16604, 16442, 16415, 56051, 16450, 16409, 16460, 19413, 17462, 16409, 16401, 16399, 16400, 16403, 16410, 16604, 16415, 16458, 16795, 16676, 16401, 16399, 16400, 16404, 61288, 16444, 16397, 28671, 16811, 18089, 16673, 16985, 16395, 16742, 32889, 16641, 17009, 18197, 16715, 43350, 21045, 16672, 18723, 17731, 18692, 20609, 16397, 32594, 21160, 20625, 16395, 16647, 21270, 20543, 18619, 16769, 59092, 16395, 16944, 16872, 17815, 20431, 16715, 26965, 17873, 16674, 16715, 16647, 20960, 16673, 22926, 35677, 16397, 16582, 16582, 16853, 21270, 18197, 35904, 19193, 21270, 43560, 31239, 34631, 16604, 16442, 16415, 16770, 19476, 16468, 16409, 56051, 16450, 16688, 16409, 19737, 42331, 16409, 16401, 16399, 16400, 16399, 16444, 16734, 18537, 16456, 18674, 22658, 16715, 18905, 17063, 31446, 16604, 16442, 16415, 16454, 37314, 16401, 16399, 16400, 16403, 17345, 16935, 16444, 16397, 38403, 16395, 16742, 17299, 16672, 23728, 16604, 16443, 16442, 19810, 16409, 16720, 51747, 20875, 16462, 21045, 16443, 16444, 17072, 16671, 22200, 16647, 28338, 16673, 20543, 18619, 27609, 16734, 43560, 31239, 34631, 16395, 16672, 22134, 16715, 16667, 19031, 16673, 38529, 16410, 16811, 38529, 16843, 17177, 16703, 24389, 16734, 44681, 23239, 16395, 16674, 64060, 21999, 16809, 42813, 17030, 21191, 18744, 36803, 16397, 16772, 36669, 16673, 16647, 21270, 19474, 36845, 16709, 16647, 17266, 25579, 16782, 16673, 16647, 39768, 17985, 16674, 16673, 16647, 38529, 16673, 16647, 21270, 20543, 18619, 16395, 16944, 16742, 21177, 17131, 28479, 19527, 16672, 23728, 16604, 16443, 16442, 19810, 16409, 17848, 20875, 16462, 17252, 16409, 62248, 16443, 16444, 16397, 24082, 18918, 27111, 16769, 20905, 16672, 23728, 16604, 16443, 16442, 19810, 16409, 17848, 20875, 16462, 17252, 16409, 39943, 16956, 16443, 16444, 16395, 16674, 37509, 16734, 16977, 58705, 16466, 16672, 23728, 16604, 16443, 16442, 19810, 16409, 47685, 18258, 16443, 16444, 16397, 49443, 16956, 25717, 16769, 19194, 16672, 23728, 16604, 16443, 16442, 19810, 16409, 16461, 22080, 17220, 16443, 16444, 16395, 16674, 23728, 16604, 16443, 16442, 19810, 16409, 20129, 27004, 16443, 16444, 39718, 16397, 16582, 16582, 16434, 22019, 21045, 16672, 17731, 18692, 20609, 16604, 16443, 16442, 19810, 16409, 16974, 16689, 16409, 20875, 16462, 21045, 16443, 16444, 16582, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16582, 16582, 16853, 52612, 55075, 17650, 16604, 16387, 16391, 16471, 16446, 16474, 16467, 16476, 16392, 16446, 16474, 16467, 16443, 31790, 16604, 16399, 16476, 16387, 19198, 19795, 16672, 16604, 16387, 16443, 22060, 16474, 16439, 16476, 16443, 34552, 16582, 16443, 22060, 16474, 16433, 16476, 16445, 16474, 16451, 16446, 16471, 16476, 16387, 16395, 16674, 16647, 28101, 16604, 16387, 16391, 16472, 16446, 16467, 16392, 16446, 16474, 16467, 16443, 31790, 16604, 16400, 16476, 16387, 16769, 16672, 16604, 16387, 16443, 22060, 16474, 16440, 16476, 16443, 34552, 16582, 16443, 22060, 16474, 16433, 16476, 16445, 16474, 16451, 16446, 16472, 16476, 16387, 16715, 16991, 16604, 16387, 16451, 16446, 16471, 16395, 16451, 16446, 16472, 16604, 16443, 16642, 16443, 22060, 16474, 16429, 16476, 16387, 16397, 16711, 18528, 53926, 16667, 20808, 21559, 16604, 16387, 16460, 16446, 16399, 16391, 35208, 16446, 16474, 16399, 16476, 16475, 16443, 25232, 16392, 16387, 16674, 16641, 23052, 38641, 16604, 16387, 16453, 16391, 35208, 16446, 16474, 16467, 16476, 16475, 18509, 16446, 16474, 16467, 16396, 16400, 16476, 16395, 16443, 25232, 16392, 16387, 16715, 16647, 52612, 17650, 16397, 17119, 16868, 22921, 16721, 16742, 16807, 18291, 16671, 37145, 18815, 22072, 16604, 16387, 16428, 16387, 16674, 16604, 16387, 16421, 16387, 16395, 16674, 21179, 25625, 16604, 16387, 16436, 16446, 16467, 16387, 16715, 16604, 16387, 16467, 16443, 31790, 16604, 16399, 16387, 16395, 17274, 16721, 16604, 16387, 16428, 16391, 16436, 16446, 16399, 16395, 16443, 25232, 16392, 16387, 21983, 16604, 16387, 16460, 16446, 16399, 16391, 35208, 16446, 16399, 16475, 16443, 25232, 16392, 16387, 16674, 16604, 16387, 16421, 16391, 16471, 16446, 16474, 16467, 16396, 16400, 16476, 16395, 16436, 16446, 16467, 16395, 16443, 25232, 16392, 16387, 21983, 16604, 16387, 16453, 16391, 35208, 16446, 16467, 16475, 16471, 16446, 16474, 16467, 16396, 16400, 16476, 16395, 16443, 25232, 16392, 16387, 16410, 16742, 20430, 16671, 17213, 16741, 21179, 17917, 39164, 16673, 16647, 17650, 16604, 16442, 19914, 16604, 16415, 24337, 26328, 16656, 16400, 16408, 16408, 16408, 18240, 16895, 16444, 16397, 28805, 24935, 19028, 16647, 52612, 17650, 16395, 16647, 28101, 16769, 21191, 16674, 16914, 21559, 16704, 18201, 16809, 16641, 27317, 38641, 16604, 16387, 16454, 16391, 22298, 16446, 16474, 16467, 16476, 16475, 18509, 16446, 16474, 16467, 16476, 16395, 16443, 25232, 16392, 16387, 16397, 16772, 18528, 16704, 25594, 17521, 16809, 16604, 16387, 16443, 25232, 16443, 16642, 16443, 47064, 16443, 34552, 16604, 16443, 22060, 16474, 16433, 16476, 16445, 16474, 16451, 16446, 16443, 25232, 16476, 16387, 16395, 16715, 16604, 16387, 16451, 16446, 16443, 25232, 16443, 16642, 16443, 22060, 16474, 16429, 16476, 16387, 16397, 21469, 38406, 25438, 16672, 20958, 57965, 16647, 21559, 16604, 16387, 16463, 16391, 35208, 16446, 16474, 16467, 16476, 16475, 16582, 16472, 16446, 16474, 16400, 16409, 16467, 16476, 16395, 16443, 25232, 16392, 16387, 16715, 16858, 18032, 16604, 16387, 16467, 16443, 31790, 16604, 16400, 16387, 16395, 25743, 43350, 21045, 27475, 16671, 16647, 40986, 16673, 16604, 16387, 16463, 16391, 35208, 16446, 16474, 16399, 16409, 16435, 16476, 16475, 16472, 16446, 16474, 16400, 16409, 16435, 16476, 16395, 16443, 25232, 16392, 16387, 16715, 16641, 22184, 17005, 34705, 16604, 16387, 16435, 16387, 16395, 17187, 16715, 16604, 16387, 16466, 16395, 16467, 16443, 16642, 16443, 22060, 16474, 16429, 16476, 16387, 16395, 16742, 19666, 16604, 16387, 16466, 16409, 16467, 16387, 16715, 16647, 17280, 16604, 16387, 16443, 16474, 16466, 16395, 16443, 33726, 16395, 16467, 16443, 16476, 16387, 16395, 16674, 16604, 16387, 16469, 16446, 16474, 16466, 16409, 16467, 16476, 16387, 16715, 16647, 27280, 16604, 16387, 16391, 16469, 16446, 16466, 16395, 16443, 33726, 16395, 16469, 16446, 16467, 16392, 16387, 16397, 16772, 25594, 16604, 16387, 16443, 25232, 16387, 16704, 17348, 24601, 22184, 16674, 22111, 16815, 16647, 45966, 16395, 16741, 16704, 19294, 18090, 16672, 16647, 43350, 21045, 23824, 16604, 16442, 19914, 23728, 16604, 16403, 16672, 16604, 16415, 16458, 16795, 16676, 16401, 16399, 16400, 16404, 61288, 16444, 16410, 16742, 17620, 24472, 23239, 16672, 23728, 16604, 16443, 16442, 19810, 16409, 20129, 27004, 16443, 16444, 16397, 22038, 17692, 16809, 16604, 16387, 16455, 16387, 16641, 17709, 17917, 16815, 16604, 16387, 16443, 22060, 16474, 16439, 16476, 16445, 16474, 16435, 16394, 16400, 16476, 16387, 16671, 16604, 16387, 16443, 22060, 16474, 16433, 16476, 16387, 16395, 16673, 16944, 16742, 17137, 16671, 37298, 16647, 34239, 16734, 18577, 16671, 16647, 43350, 21045, 21559, 16604, 16387, 16443, 21210, 16391, 35208, 16446, 16474, 16399, 16409, 16435, 16476, 16392, 16412, 16463, 16391, 35208, 16446, 16474, 16399, 16409, 16435, 16476, 16475, 16472, 16446, 16474, 16400, 16409, 16435, 16476, 16392, 16387, 16410, 16742, 19666, 16604, 16387, 16443, 21210, 16391, 16455, 16392, 16387, 16715, 16604, 16387, 16443, 16974, 16446, 16474, 16443, 22060, 16474, 16439, 16476, 16445, 16474, 16435, 16394, 16400, 16476, 16476, 16678, 16391, 16471, 16446, 16474, 16399, 16409, 16435, 16476, 16392, 16604, 16443, 21210, 16391, 35208, 16446, 16474, 16399, 16409, 16435, 16476, 16392, 16387, 16397, 17544, 20845, 16395, 16734, 16604, 16387, 16455, 16409, 16471, 16446, 16474, 16399, 16409, 16435, 16476, 16443, 59533, 18509, 16446, 16467, 16387, 17187, 16604, 16387, 16467, 16443, 16642, 16604, 16399, 16409, 16435, 16387, 16395, 16604, 16387, 16443, 21210, 16391, 16455, 16392, 16387, 16704, 16647, 43350, 21045, 34239, 16604, 16387, 16443, 22060, 16474, 16420, 16476, 16442, 16471, 16446, 16467, 16475, 16472, 16446, 16474, 16400, 16409, 16435, 16476, 16444, 16387, 16397, 16582, 16582, 19569, 16463, 29336, 16641, 18041, 16709, 21160, 43350, 21045, 20625, 16671, 23728, 16604, 16443, 16442, 19810, 16409, 47685, 18258, 16443, 16444, 16395, 16742, 17092, 23467, 16647, 43560, 31239, 24052, 16604, 16442, 24940, 16421, 16395, 16604, 16415, 16770, 19476, 16468, 16409, 56051, 16450, 16688, 16409, 19737, 42331, 16409, 16401, 16399, 16400, 16399, 16444, 16395, 16944, 16704, 16641, 32911, 16673, 16647, 31239, 24052, 16604, 16442, 16415, 56051, 16450, 16688, 16409, 18280, 16644, 36405, 16409, 16454, 27345, 16409, 16401, 16399, 16399, 16400, 16444, 16397, 29325, 16641, 16604, 16894, 38797, 16900, 41237, 16604, 16387, 16439, 16604, 16412, 18509, 16446, 16474, 16399, 16409, 16435, 16476, 16387, 16395, 16641, 25367, 16421, 36545, 16641, 17009, 41237, 16604, 16387, 16439, 16445, 16443, 32877, 16604, 16412, 18509, 16446, 16474, 16399, 16409, 16435, 16476, 16445, 16443, 32877, 16387, 16741, 20101, 16672, 64298, 16604, 16443, 16442, 31852, 16409, 17508, 19297, 16396, 61288, 16396, 27568, 16443, 16444, 16395, 16944, 33763, 16641, 18905, 17063, 38641, 16709, 16647, 18692, 16673, 62005, 16410, 16742, 16868, 19666, 16604, 16387, 16471, 16445, 16443, 32877, 16446, 16474, 16399, 16409, 16435, 16476, 16604, 16443, 23966, 16604, 16443, 17888, 16474, 24940, 16421, 16476, 16391, 16471, 16446, 16474, 16399, 16409, 16435, 16476, 16395, 16443, 27745, 16392, 16387, 16397, 17170, 18905, 17063, 38641, 22485, 16604, 16387, 16443, 21210, 16387, 47928, 16674, 18195, 36505, 16675, 46472, 16673, 16647, 23526, 31446, 27502, 25018, 19727, 17229, 16734, 18577, 16671, 16604, 16387, 16443, 21210, 16387, 16395, 17131, 28479, 19527, 16604, 16442, 16415, 16770, 19476, 16468, 16409, 56051, 16450, 16688, 16409, 19737, 42331, 16409, 16401, 16399, 16400, 16399, 16410, 16604, 16415, 17822, 16754, 16642, 16434, 16409, 16401, 16399, 16400, 16404, 16410, 16604, 16415, 56234, 24666, 33021, 16409, 16401, 16399, 16400, 16404, 16410, 16604, 16415, 16770, 19476, 16468, 17115, 19737, 16448, 16401, 16399, 16400, 16402, 52243, 16410, 16604, 16415, 16458, 22775, 16459, 40549, 39364, 16401, 16399, 16400, 16407, 16684, 18038, 16410, 16604, 16415, 38623, 16401, 16399, 16400, 16407, 16923, 16449, 35270, 16444, 16397, 17119, 39445, 16809, 16604, 16387, 16391, 16439, 16445, 16474, 16391, 16461, 16392, 16476, 16392, 16446, 16474, 16461, 16443, 31790, 16604, 16399, 16476, 16387, 16641, 22835, 20089, 16815, 16641, 19007, 16604, 16387, 16439, 16445, 16474, 16391, 16399, 16392, 16476, 16387, 16395, 16674, 27750, 17160, 17181, 16604, 16387, 16439, 16445, 16474, 16391, 16461, 16392 ]
[ 0, 17071, 17142, 17202, 16395, 16759, 17102, 17662, 23562, 19023, 16604, 16391, 30527, 16435, 16392, 16872, 19789, 16641, 50100, 16673, 28075, 16395, 22476, 16734, 31716, 18102, 16929, 25214, 16914, 55596, 16741, 16759, 38212, 17132, 16809, 37892, 17047, 16397, 28235, 18354, 26655, 35305, 16888, 17646, 22873, 20937, 16734, 16604, 16894, 36840, 17107, 16641, 19489, 16900, 16785, 16604, 16894, 16424, 16743, 16460, 17363, 21089, 16397, 16900, 19214, 17363, 57895, 16671, 16647, 25030, 16721, 16759, 38212, 16704, 16647, 22872, 36280, 17437, 18208, 17590, 16671, 16969, 17021, 16759, 38212, 16743, 16466, 21710, 16397, 16582, 16582, 26856, 16771, 32994, 55710, 46818, 16759, 38212, 16604, 17705, 16466, 17092, 17142, 17202, 16672, 16647, 58226, 21146, 16409, 16582, 16582, 16894, 28211, 16872, 19678, 16891, 16671, 16703, 16647, 27557, 16448, 65089, 16673, 18421, 16654, 30893, 16395, 16641, 20060, 16659, 17529, 16872, 16396, 54096, 20040, 17637, 35412, 16769, 16764, 19070, 16903, 16809, 17243, 19556, 17531, 24095, 16756, 16397, 19912, 16888, 26932, 17394, 16672, 16647, 20408, 19141, 16395, 16733, 16660, 24522, 26433, 42644, 16674, 18143, 23872, 24078, 16395, 60759, 31262, 29010, 16395, 38124, 54563, 16674, 24166, 16819, 16718, 18674, 16697, 16397, 17403, 17240, 16673, 16647, 17005, 16733, 16743, 16466, 16804, 20519, 16672, 20705, 16397, 17046, 16872, 16647, 50411, 16673, 16641, 56349, 16850, 37613, 17490, 16647, 29470, 16674, 16647, 32810, 22054, 25091, 17575, 16733, 16743, 16451, 17109, 16671, 18725, 18159, 18251, 23921, 16397, 16582, 16582, 16894, 16853, 39541, 25109, 17038, 22320, 17065, 17362, 24485, 16397, 17544, 16647, 17092, 17142, 17202, 16395, 19023, 25773, 18154, 38367, 16395, 21743, 16674, 43559, 16397, 19360, 16733, 16743, 16466, 46799, 17478, 16697, 36343, 18154, 19261, 16397, 16900, 16582, 16582, 16421, 58732, 16715, 16759, 38212, 16743, 16466, 61724, 16409, 16582, 16582, 22501, 18097, 16395, 44265, 19645, 21056, 49329, 17014, 16728, 19074, 16721, 16759, 38212, 18151, 16888, 19625, 16646, 20513, 34625, 16671, 22054, 16671, 20931, 16931, 29894, 16715, 16647, 19023, 30600, 29941, 16397, 22191, 16888, 19567, 16395, 16759, 38212, 17031, 16733, 16955, 17028, 17598, 24989, 16734, 21590, 16850, 29216, 16671, 18053, 16672, 21590, 16734, 40828, 31794, 16671, 21418, 16396, 22000, 16647, 17913, 16397, 34625, 16763, 17027, 23951, 16671, 17882, 16759, 38212, 16674, 16888, 17968, 42306, 29920, 16674, 18855, 24538, 16397, 23435, 24713, 16397, 18855, 24538, 16397, 17027, 40231, 16671, 20931, 16931, 16888, 25769, 16672, 16647, 18230, 19023, 22042, 16672, 29941, 16397, 46246, 16659, 22130, 16721, 16647, 17567, 22381, 16672, 16647, 43412, 40231, 17014, 16873, 17031, 16873, 16955, 17687, 19461, 16931, 16728, 16397, 39792, 16743, 16466, 19156, 22039, 16721, 16604, 16894, 27044, 23439, 16604, 17445, 16769, 16804, 23874, 16397, 16900, 16759, 38212, 21144, 50381, 18866, 16395, 16674, 16647, 18691, 19126, 16944, 20049, 39792, 48475, 16804, 23874, 16397, 44265, 19645, 23673, 16872, 16804, 16992, 18909, 18352, 16397, 16582, 16582, 17635, 18074, 17649, 16395, 16759, 38212, 16743, 16466, 19373, 16396, 17663, 25024, 58261, 49980, 41019, 38555, 16888, 23647, 16850, 23574, 16647, 23384, 16673, 19094, 20814, 17415, 21590, 16674, 16759, 38212, 16743, 16466, 19567, 16397, 16582, 16582, 30527, 16435, 17123, 16703, 19547, 16734, 18827, 23571, 16743, 16466, 24184, 45303, 16396, 18495, 16672, 19557, 16395, 16850, 16647, 40051, 35322, 16721, 16759, 38212, 16743, 16466, 18982, 19307, 37505, 18157, 48994, 17699, 17298, 16641, 18088, 16734, 21814, 17135, 16733, 18666, 17007, 16604, 16894, 16928, 18288, 16647, 20408, 19141, 16734, 19994, 19943, 16671, 24450, 21814, 16900, 17172, 16641, 17485, 16915, 51645, 25937, 49149, 16709, 16641, 44156, 17563, 18046, 16647, 16876, 16397, 16434, 16397, 44437, 16672, 46925, 16397, 36224, 27655, 23387, 20288, 24418, 16656, 16951, 23938, 16647, 18479, 16395, 16850, 16641, 17301, 16396, 18489, 38364, 22318, 16704, 17178, 16672, 20705, 16673, 16647, 40051, 16397, 48994, 16743, 16466, 19181, 17367, 16987, 21983, 16888, 17301, 16396, 20524, 23155, 16671, 16604, 16894, 53730, 21814, 16900, 17437, 16733, 19909, 16671, 43965, 21825, 16647, 18303, 26110, 16397, 16582, 16582, 20068, 16759, 38212, 17218, 17825, 16931, 16647, 18541, 16721, 16647, 27803, 28020, 16647, 23384, 16721, 16733, 16763, 16641, 18982, 19307, 18813, 16395, 20968, 19074, 16721, 16759, 38212, 46606, 16647, 21615, 16673, 16888, 18514, 23971, 20691, 24154, 16734, 40828, 31794, 16395, 17789, 55557, 17160, 28129, 17500, 16743, 22395, 16674, 21880, 17007, 16815, 29268, 16647, 24154, 16734, 16977, 21419, 20968, 16397, 16759, 38212, 16743, 16466, 20125, 37782, 21645, 19618, 16767, 17965, 18817, 38124, 18334, 17367, 20159, 19571, 16815, 16647, 20408, 19141, 16734, 42080, 17927, 22152, 39285, 17647, 16647, 17360, 18533, 21564, 16395, 29451, 24234, 16395, 20288, 54412, 16395, 16647, 27803, 16395, 16674, 21623, 39792, 16397, 16759, 38212, 17132, 16804, 30061, 16647, 27803, 17556, 16397, 55219, 16673, 21615, 16815, 16647, 24154, 53622, 20478, 20383, 16397, 16582, 16582, 16421, 64552, 27247, 16815, 16759, 38212, 16671, 19598, 16647, 16876, 16397, 16434, 16397, 16891, 16673, 34324, 16807, 23078, 22175, 16931, 16977, 19328, 16804, 28492, 16914, 19144, 20007, 16395, 16850, 16811, 18865, 16961, 16703, 16759, 38212, 16743, 16466, 23103, 16671, 31794, 16397, 19388, 19743, 16677, 16711, 16397, 18497, 18491, 17456, 16395, 16667, 17131, 28573, 16673, 21859, 17131, 18819, 20817, 16395, 17031, 16721, 21413, 34324, 16604, 16894, 37880, 16703, 16917, 16673, 16647, 17154, 37296, 17578, 16721, 16998, 19279, 17120, 16829, 16671, 16876, 16397, 16434, 16397, 22251, 16900, 16674, 16604, 16894, 17347, 20909, 16765, 18141, 16721, 40828, 31794, 17120, 20268, 16673, 16397, 16900, 20452, 17597, 17721, 16460, 16397, 20288, 16796, 16397, 16957, 16962, 22873, 16656, 16395, 16647, 19022, 38720, 49064, 33390, 16673, 34324, 16395, 17031, 16667, 18154, 33541, 16815, 16647, 33718, 16961, 16703, 16604, 16894, 16448, 64263, 24969, 16673, 29131, 28167, 16397, 16900, 18916, 46425, 16661, 61016, 16672, 16604, 16401, 16399, 16400, 16403, 16395, 31794, 21882, 16709, 45496, 16647, 18303, 18644, 16815, 18540, 16671, 17882, 17107, 18123, 17030, 16647, 34324, 19328, 16397, 16759, 38212, 17092, 21817, 19022, 27655, 23387, 20288, 24418, 16656, 16815, 27088, 16647, 17718, 34324, 19547, 16674, 17177, 19141, 32701, 32583, 47157, 16604, 16391, 16419, 16396, 22153, 16392, 16815, 20206, 19699, 16734, 34324, 20968, 16397, 16582, 16582, 16428, 36672, 16872, 19678, 16888, 22012, 16671, 18203, 16397, 17267, 22141, 16793, 25078, 16604, 16391, 16433, 16396, 22153, 16392, 16395, 19022, 17693, 16673, 16647, 30833, 21217, 16674, 35719, 16759, 38212, 36451, 17301, 16992, 30073, 16673, 52359, 17624, 16671, 16759, 38212, 16397, 16793, 25078, 17820, 16734, 19022, 18611, 22190, 25920, 16646, 20513, 44248, 16674, 29925, 16673, 20702, 20968, 16767, 16759, 38212, 16743, 16466, 20059, 22042, 16709, 19160, 16604, 16400, 16407, 16395, 16604, 16401, 16399, 16400, 16406, 16395, 16994, 17142, 17897, 17329, 16759, 38212, 16743, 16466, 53830, 17329, 16793, 25078, 16743, 23140, 22012, 25359, 18777, 30900, 16759, 38212, 16674, 30404, 55573, 49705, 16397, 22191, 16641, 48561, 17367, 19979, 16395, 16793, 25078, 17031, 16721, 25548, 16955, 16671, 17754, 16914, 19141, 20987, 16671, 19238, 16759, 38212, 16815, 39792, 16397, 16582, 16582, 28944, 16397, 22785, 21265, 16458, 17949, 16604, 16391, 16419, 16396, 18092, 16392, 19688, 16641, 19160, 16604, 16401, 16399, 16400, 16406, 61345, 17885, 16815, 16641, 38717, 52918, 29732, 29620, 16673, 45291, 17968, 16815, 16914, 19326, 16741, 16641, 39427, 17018, 16671, 30635, 16647, 16876, 16397, 16434, 16397, 16396, 52381, 22530, 17014, 16647, 17679, 16763, 16767, 16667, 16858, 16396, 18489, 18229, 16397, 56123, 16922, 45291, 17968, 16958, 28344, 16815, 16914, 19326, 17032, 19074, 16395, 16674, 61345, 16955, 17028, 19984, 16715, 31372, 18698, 16397, 61345, 23925, 38795, 45291, 17968, 16914, 19675, 17262, 16671, 37951, 41382, 16395, 18821, 19326, 16715, 19800, 29227, 18604, 16395, 16674, 18616, 24730, 21515, 28400, 16715, 58323, 16667, 16819, 16861, 20036, 16657, 17245, 45291, 17486, 16671, 18725, 16641, 61551, 16673, 17968, 21883, 17065, 38775, 22288, 16397, 21265, 16458, 17949, 26985, 16667, 27803, 16972, 16457, 18024, 22012, 17065, 61345, 23387, 58157, 30560, 54299, 16743, 16466, 38556, 30013, 16721, 16647, 21648, 16955, 17028, 19398, 16673, 45496, 17968, 16397, 16582, 16582, 17071, 16647, 19141, 16395, 16604, 16400, 16402, 16405, 29918, 18319, 25685, 17647, 16759, 38212, 16672, 24746, 16671, 16888, 29241, 31213, 16815, 31794, 16743, 16466, 17746, 16830, 18457, 23452, 16919, 25601, 16395, 16667, 39589, 17300, 16929, 20164, 23377, 16673, 22313, 16671, 16969, 16759, 38212, 24336, 16397, 20919, 16604, 16403, 16401, 25548, 16672, 16647, 22778, 16955, 18022, 25685, 16671, 27284, 16647, 35532, 16673, 31213, 16395, 16647, 19141, 20399, 16763, 40034, 16395, 16850, 16604, 16400, 16400, 29918, 47338, 17027, 25685, 17647, 19813, 31794, 16811, 23103, 16674, 22764, 17107, 16671, 17646, 16922, 18048, 17065, 16876, 16397, 16434, 16397, 20898, 33384, 16397, 22778, 52136, 30903, 22148, 16759, 38212, 16672, 19813, 16647, 18048, 17141, 16671, 21590, 20290, 16733, 16955, 18047, 23452, 16919, 25601, 16641, 16604, 16894, 16757, 17086, 16397, 16900, 16582, 16582, 30527, 16435, 16743, 16466, 19972, 18088, 16734, 19391, 16872, 19153, 16409, 19391, 16743, 16466, 16604, 16401, 16399, 16400, 16407, 19972, 40954, 16734, 16647, 16876, 16397, 16434, 16397, 22517, 16604, 16400, 16406, 18448, 16672, 16604, 16401, 16399, 16400, 16407, 16395, 16767, 16604, 16387, 16402, 16404, 16400, 16397, 16406, 16405, 19852, 16647, 20770, 16876, 16397, 16434, 16397, 31583, 17608, 16604, 16401, 16399, 16399, 16405, 16397, 16772, 19777, 16704, 18040, 21036, 17172, 19391, 17930, 16743, 16467, 17410, 23822, 16721, 17659, 16671, 16647, 16876, 16397, 16434, 16397, 16815, 16977, 19328, 16397, 16582, 16582, 23930, 17202, 18469, 16395, 16759, 38212, 17366, 16888, 17092, 21992, 17135, 16888, 53830, 16397, 18708, 16769, 16991, 16673, 16888, 21431, 29062, 17608, 17177, 16409, 16582, 16582, 47367, 16661, 26158, 16409, 17933, 29311, 21199, 16672, 16647, 16876, 16397, 16434, 16397, 18952, 26158, 18960, 16815, 16604, 16401, 16399, 16400, 16405, 16671, 16604, 16401, 16399, 16400, 16406, 16397, 16582, 16582, 16894, 19524, 26031, 16674, 17362, 26031, 16900, 16409, 16772, 21431, 17885, 16672, 16647, 29918, 20931, 16763, 16671, 21662, 19619, 16674, 21924, 16734, 16604, 16407, 16399, 18448, 16673, 23205, 20079, 17205, 46915, 18846, 17032, 18074, 17202, 16397, 16582, 16582, 16894, 53283, 17141, 17038, 20805, 16604, 17445, 31101, 16604, 17445, 22753, 16900, 16409, 19253, 24224, 38977, 21109, 16672, 16759, 38212, 16743, 16466, 17092, 17142, 17202, 17032, 18819, 20817, 16743, 16466, 17092, 17902, 16410, 21199, 16672, 37713, 27879, 31474, 16809, 16604, 16408, 16407, 18448, 16672, 16604, 16401, 16399, 16400, 16407, 16397, 16582, 16582, 16894, 19084, 18392, 16715, 41866, 16900, 16409, 32014, 16673, 17963, 16396, 18357, 60621, 16674, 17963, 16396, 18357, 21668, 26222, 19800, 16672, 18074, 17142, 17202, 17135, 16759, 38212, 16743, 16466, 33166, 16673, 61423, 16397, 16582, 16582, 16894, 43671, 17434, 65286, 16734, 21118, 16900, 16409, 18958, 19456, 25645, 16671, 38519, 19542, 16743, 16466, 21726, 16672, 16759, 38212, 16743, 16466, 20882, 16674, 17726, 19091, 17517, 26465, 16654, 17521, 16672, 19206, 16673, 16715, 16396, 25056, 20155, 16397, 16582, 16582, 16894, 19315, 21457, 17579, 16703, 28465, 17244, 16900, 16409, 44774, 19671, 20120, 23255, 16673, 16759, 38212, 16743, 16466, 22155, 16671, 17754, 16811, 24327, 16397, 16582, 16582, 25379, 16888, 53830, 16395, 16759, 38212, 17366, 16604, 16405, 16405, 16402, 29062, 16395, 17789, 16604, 16402, 16405, 16673, 17007, 16709, 16647, 17092, 17386, 16672, 19156, 16397, 17046, 20589, 17142, 16673, 17310, 17205, 16448, 29931, 37160, 16709, 20478, 20552, 16674, 16641, 18486, 49250, 16709, 17009, 21912, 24055, 17205, 20703, 24820, 16785, 35714, 16647, 16977, 16604, 16402, 16403, 16395, 16991, 16673, 16944, 17699, 18040, 16807, 20683, 17047, 16397, 16875, 16888, 17092, 16604, 16400, 16399, 16399, 17897, 16395, 16733, 23545, 16604, 16407, 16399, 29062, 16733, 17366, 17329, 16733, 16763, 44432, 16672, 16397, 16582, 16582, 16894, 17611, 16704, 16641, 17661, 48805, 16395, 16641, 48832, 18737, 28913, 16395, 16641, 54916, 16395, 16641, 17039, 16396, 45359, 16395, 16674, 16641, 51642, 17445, 16397, 16604, 16442, 17611, 16444, 47082, 49636, 16715, 50140, 47723, 16674, 16971, 47572, 50140, 49867, 19204, 17445, 16397, 16604, 16442, 17611, 16444, 16704, 20283, 16854, 20923, 16395, 16641, 20154, 18950, 16715, 18148, 22963, 18123, 16673, 18924, 16743, 16466, 22497, 54296, 16397, 17046, 16704, 16667, 24028, 16673, 17551, 16396, 19338, 38129, 16410, 16733, 16704, 36731, 16673, 16395, 16674, 58393, 16671, 16395, 16647, 27025, 16410, 16733, 21438, 16804, 16671, 17337, 16397, 16900, 16582, 16582, 17071, 17142, 17202, 16395, 16759, 38212, 16872, 28739, 16895, 16858, 16647, 19328, 16672, 18540, 16395, 20952, 16395, 18827, 18924, 16395, 16674, 21792, 18924, 16674, 17259, 19328, 16672, 22852, 16674, 16647, 22911, 20130, 16397, 18713, 27247, 16807, 17646, 16647, 18303, 18644, 18399, 16671, 22497, 18088, 16734, 18827, 23571, 16674, 21814, 16397, 18713, 42949, 16673, 22318, 24078, 16769, 36343, 16647, 23371, 16395, 24500, 18216, 17730, 16395, 16674, 39401, 26870, 16672, 16647, 18303, 18644, 16397, 16772, 27713, 23987, 16721, 17073, 33791, 17142, 17202, 18469, 16763, 16604, 16894, 19788, 24216, 16673, 17131, 43526, 16397, 16900, 22830, 17363, 21089, 16715, 16759, 38212, 16743, 16466, 16604, 16894, 43590, 38805, 16900, 16671, 18560, 17208, 17337, 16759, 38212, 16743, 16466, 16604, 16404, 16399, 39500, 19122, 17608, 16888, 53830, 16397, 16582, 16582, 23097, 16647, 39541, 16395, 16759, 38212, 16743, 16466, 24606, 21731, 16872, 23034, 16674, 16888, 50165, 17738, 21731, 62372, 16734, 16641, 20575, 16396, 43217, 19031, 17415, 16647, 17142, 16397, 29385, 16673, 16647, 19777, 18526, 16815, 16647, 19260, 16673, 16888, 19300, 17205, 19541, 22512, 18102, 16674, 19255, 35526, 40278, 16397, 16772, 21509, 16743, 16466, 20350, 17031, 16721 ]
[ 0, 16400, 16397, 35453, 16604, 16474, 16386, 19810, 16400, 16476, 16582, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16582, 16582, 29135, 16967, 17003, 16672, 16722, 17500, 16807, 20698, 17917, 16665, 16741, 16667, 26717, 27966, 55805, 23074, 16671, 18725, 16641, 41415, 16396, 29761, 16730, 47805, 27966, 17226, 16397, 16452, 16397, 16395, 22831, 52798, 47805, 23160, 17024, 16734, 26109, 21399, 17655, 18295, 23675, 17803, 26548, 16604, 16443, 16442, 16442, 16415, 54690, 16400, 16444, 16443, 16444, 16397, 30787, 16395, 17362, 17679, 16673, 31561, 22539, 16872, 17723, 16647, 18180, 16967, 17003, 16672, 38798, 16671, 27472, 16641, 41415, 16396, 29761, 16730, 47805, 27966, 16734, 17362, 18950, 16604, 16443, 16442, 16442, 16415, 54690, 16401, 16444, 16443, 16444, 16397, 16772, 17092, 18180, 16967, 17003, 16672, 38798, 37507, 16872, 16992, 27609, 16674, 28060, 16809, 56777, 20056, 17605, 18331, 16666, 16397, 16604, 16443, 16442, 16442, 16415, 54690, 16402, 16444, 16443, 16444, 16397, 21123, 16721, 17005, 16395, 17213, 23820, 16807, 16992, 59626, 16922, 23295, 16674, 22458, 25381, 16672, 16647, 19001, 22767, 26029, 17553, 16721, 17274, 17213, 18180, 16967, 17003, 23820, 16807, 28020, 16672, 18295, 19393, 22280, 16671, 55403, 16758, 16647, 21731, 18234, 19359, 16671, 27966, 16674, 17788, 16673, 31561, 22539, 16604, 16443, 16442, 16442, 16415, 54690, 16403, 16444, 16395, 16604, 16442, 16415, 54690, 16404, 16444, 16395, 16604, 16442, 16415, 54690, 16405, 16444, 16395, 16604, 16442, 16415, 54690, 16406, 16444, 16395, 16604, 16442, 16415, 54690, 16407, 16444, 16443, 16444, 16397, 16582, 16582, 19494, 16673, 16647, 18354, 28926, 16673, 17213, 23820, 16977, 17032, 21076, 16641, 49445, 41415, 16396, 29761, 16730, 47805, 23160, 17024, 16704, 16914, 46963, 16671, 42771, 17007, 16672, 25258, 16674, 17242, 16396, 21527, 19693, 19415, 16715, 17274, 17213, 20541, 16409, 23789, 16673, 16702, 23004, 16395, 16739, 20137, 16395, 16670, 16437, 16398, 29961, 16674, 16799, 26833, 16604, 16443, 16442, 16442, 16415, 54690, 16408, 16444, 16395, 16604, 16442, 16415, 54690, 16400, 16399, 16444, 16395, 16604, 16442, 16415, 54690, 16400, 16400, 16444, 16443, 16444, 16397, 18483, 16922, 18321, 18354, 20352, 16673, 17213, 23820, 16704, 16914, 30386, 16672, 55085, 20716, 26091, 16395, 33150, 16647, 17362, 23790, 16673, 19878, 20595, 18257, 17035, 16443, 16390, 31561, 18422, 23789, 16673, 16647, 16672, 38798, 16443, 16390, 16466, 21425, 17803, 16604, 16443, 16442, 16442, 16415, 54690, 16400, 16401, 16444, 16395, 16604, 16442, 16415, 54690, 16400, 16402, 16444, 16395, 16604, 16442, 16415, 54690, 16400, 16403, 16444, 16443, 16444, 16397, 16582, 16582, 29135, 16967, 17003, 16672, 38798, 16704, 18365, 16741, 16917, 16673, 16647, 17154, 22656, 16674, 27418, 17803, 23510, 23820, 16397, 17513, 16807, 16992, 24305, 21627, 16672, 50256, 23837, 18619, 16674, 18712, 27760, 19258, 16693, 16397, 16454, 16397, 16395, 16751, 24163, 16418, 16395, 62807, 21653, 16395, 44906, 16395, 54891, 16674, 31547, 19786, 19258, 16397, 16772, 26086, 18180, 16967, 17003, 16672, 16722, 17500, 16807, 16992, 25167, 24536, 17065, 17567, 25796, 16721, 16769, 23605, 16417, 16395, 46300, 16395, 28687, 16604, 16443, 16442, 16442, 16415, 54690, 16400, 16404, 16444, 16395, 16604, 16442, 16415, 54690, 16400, 16405, 16444, 16395, 16604, 16442, 16415, 54690, 16400, 16406, 16444, 16443, 16444, 16397, 16999, 16704, 18920, 39764, 16721, 16395, 16647, 26086, 18180, 16967, 17003, 16672, 16722, 17500, 16807, 50641, 17362, 31561, 21025, 17274, 16741, 16409, 39188, 16395, 31257, 21474, 16395, 17682, 19919, 16674, 16647, 17274, 19064, 20815, 25695, 17362, 18586, 17679, 16397, 20956, 16647, 18074, 18295, 17202, 16395, 17259, 17476, 23820, 16674, 23477, 18138, 16709, 16687, 16425, 29484, 16674, 62678, 63138, 19878, 20595, 18257, 17035, 16734, 16807, 16992, 22204, 16604, 16443, 16442, 16442, 16415, 54690, 16400, 16407, 16444, 16395, 16604, 16442, 16415, 54690, 16400, 16408, 16444, 16395, 16604, 16442, 16415, 54690, 16401, 16399, 16444, 16395, 16604, 16442, 16415, 54690, 16401, 16400, 16444, 16443, 16444, 16397, 16582, 16582, 50124, 16815, 16647, 29048, 28613, 16673, 18180, 16967, 17003, 16672, 16722, 17500, 16395, 23731, 16673, 16641, 18122, 17679, 16673, 35082, 39188, 16704, 16914, 17154, 17889, 42508, 16721, 42690, 16868, 18595, 17274, 17438, 19918, 16988, 16409, 29312, 16673, 16647, 24444, 16674, 18123, 21084, 16395, 19031, 16673, 16647, 20189, 16443, 16390, 16466, 17985, 16396, 36934, 16395, 25909, 16673, 16647, 33010, 16395, 16674, 24316, 16673, 16647, 20189, 16397, 23466, 16395, 16728, 16704, 22009, 16721, 16647, 17679, 16673, 31561, 22539, 16671, 16703, 27364, 16397, 46245, 16647, 17394, 16395, 16647, 31593, 16769, 29262, 16674, 22631, 17264, 16671, 19077, 16674, 26551, 17362, 18980, 18180, 16967, 17003, 16672, 16722, 17500, 16734, 21999, 22539, 16859, 16721, 16647, 38579, 19153, 19359, 16671, 16647, 26086, 18180, 16967, 17003, 16672, 16722, 17500, 16671, 16703, 17243, 17115, 16895, 16693, 16397, 16454, 16397, 16409, 16604, 16443, 16442, 16442, 16415, 54690, 16401, 16401, 16444, 16395, 16604, 16442, 16415, 54690, 16401, 16402, 16444, 16395, 16604, 16442, 16415, 54690, 16401, 16403, 16444, 16395, 16604, 16442, 16415, 54690, 16401, 16404, 16444, 16395, 16604, 16442, 16415, 54690, 16401, 16405, 16444, 16443, 16444, 16397, 24423, 16647, 21999, 18180, 16967, 17003, 17772, 20896, 16807, 20698, 44375, 16734, 17492, 16977, 17030, 16647, 16409, 18229, 21571, 16419, 16395, 16674, 17679, 16673, 31561, 22539, 16741, 17204, 16741, 17362, 16396, 26797, 16673, 41415, 16396, 29761, 16730, 47805, 27966, 16395, 16672, 16944, 17843, 16395, 16667, 58439, 19837, 43587, 16872, 16992, 20087, 16674, 22204, 16672, 16811, 19420, 16859, 16721, 16804, 17097, 18229, 17679, 16673, 22539, 16671, 16703, 21627, 16395, 16850, 17027, 17362, 16396, 26797, 41415, 16396, 29761, 16730, 47805, 27966, 16671, 16703, 47551, 16397, 16772, 21270, 17242, 16396, 18759, 43587, 16872, 16992, 20087, 18138, 16709, 16647, 38510, 55143, 16950, 36767, 16671, 16751, 16396, 24443, 16809, 18238, 16673, 16647, 18783, 16396, 42378, 16666, 39188, 16397, 27733, 16709, 16667, 25002, 43657, 31462, 16715, 23675, 17803, 26548, 16673, 19837, 43587, 16395, 16728, 16843, 25050, 16741, 16859, 16396, 25582, 24461, 16396, 16461, 16936, 19837, 43587, 16397, 16875, 18961, 17202, 16395, 16647, 17803, 33325, 23282, 16807, 16992, 37179, 19365, 16671, 24187, 16647, 26086, 18180, 16967, 17003, 16672, 38798, 23820, 16674, 27966, 18950, 16397, 23466, 16395, 57482, 27966, 38625, 17220, 16673, 18180, 16967, 17003, 16672, 16722, 17500, 16734, 23675, 17803, 26548, 16843, 16703, 21999, 16809, 16647, 52988, 46749, 23575, 17274, 16741, 16739, 43950, 16674, 16702, 27542, 43950, 16604, 16443, 16442, 16442, 16415, 54690, 16401, 16406, 16444, 16395, 16604, 16442, 16415, 54690, 16401, 16407, 16444, 16443, 16444, 16397, 16582, 16582, 17409, 17208, 16703, 19570, 16395, 17213, 23575, 19108, 32115, 21033, 16647, 21646, 55085, 22539, 16397, 23638, 21084, 16872, 16992, 17917, 16665, 16672, 25828, 16734, 22525, 16673, 16647, 50903, 35666, 16671, 21033, 16647, 19251, 17970, 38625, 17220, 57813, 16397, 18848, 16395, 25432, 16395, 31724, 16815, 16647, 41415, 16396, 29761, 16730, 47805, 27966, 16944, 16704, 23611, 16809, 54952, 16604, 16443, 16442, 16442, 16415, 54690, 16401, 16408, 16444, 16395, 16604, 16442, 16415, 54690, 16402, 16399, 16444, 16395, 16604, 16442, 16415, 54690, 16402, 16400, 16444, 16443, 16444, 16397, 16711, 24893, 18234, 16741, 30709, 16673, 17274, 17213, 23575, 16704, 34726, 16647, 57798, 20075, 16673, 44379, 53653, 19553, 31952, 16944, 18379, 16647, 22920, 16645, 29110, 53603, 16397, 18708, 22144, 16843, 16703, 17027, 32214, 16809, 27750, 17225, 20625, 17789, 35328, 16396, 16396, 16433, 23875, 17768, 16604, 16443, 16442, 16442, 16415, 54690, 16402, 16401, 16444, 16443, 16444, 16397, 26126, 16395, 17073, 43182, 16709, 16647, 20808, 38483, 18842, 17123, 19225, 17150, 20913, 16672, 18070, 22424, 16448, 16397, 23466, 16395, 16811, 19474, 16843, 16443, 16390, 16467, 16703, 19570, 16671, 52442, 16647, 54952, 18234, 16734, 19001, 50903, 35666, 25743, 16807, 17028, 20808, 38483, 18842, 16397, 18483, 16922, 21084, 16872, 16992, 28601, 19565, 40820, 16647, 53653, 19553, 31952, 17065, 16647, 49135, 31952, 16604, 16443, 16442, 16442, 16415, 54690, 16402, 16402, 16444, 16395, 16604, 16442, 16415, 54690, 16402, 16403, 16444, 16443, 16444, 16397, 17426, 16647, 18586, 17679, 16673, 27966, 16671, 16703, 19800, 16395, 16647, 39768, 27422, 16704, 20349, 59906, 16397, 17376, 16715, 16647, 30386, 16673, 16733, 47703, 32200, 16672, 32420, 16647, 19680, 24431, 22072, 16395, 16873, 16807, 16992, 24305, 17405, 16671, 20458, 16891, 16647, 29682, 50903, 35666, 16397, 16582, 16582, 59207, 16835, 16811, 18910, 16395, 16739, 43950, 16396, 19338, 17184, 17836, 16396, 22137, 55085, 40598, 16872, 16992, 20087, 16674, 25388, 16671, 24187, 27966, 18950, 16673, 19837, 43587, 16397, 30787, 16395, 17567, 27418, 18504, 16646, 16942, 19359, 27966, 18950, 17226, 16397, 16452, 16397, 16395, 26109, 24812, 22825, 16395, 40598, 16673, 18848, 55085, 16674, 55326, 16673, 21571, 16419, 16807, 16992, 25345, 16741, 24431, 22072, 16673, 34653, 18234, 16397, 41112, 16647, 22399, 16396, 22581, 16802, 19927, 16673, 16647, 34653, 18234, 16395, 17975, 16396, 65147, 44419, 16727, 23105, 34160, 16872, 16992, 25388, 16671, 24651, 16647, 34653, 18234, 16395, 16674, 17177, 19739, 16734, 31978, 25360, 16396, 19311, 16397, 17999, 18400, 16903, 16395, 16647, 21646, 36611, 19831, 18184, 16734, 17490, 16647, 30156, 16674, 26182, 18466, 16807, 31253, 16697, 43117, 16647, 18980, 16673, 22738, 19837, 43587, 16397, 20099, 16395, 16647, 27966, 18950, 18234, 17655, 16727, 23105, 34160, 16396, 19338, 17184, 17836, 16396, 22137, 55085, 40598, 21084, 16872, 16992, 17204, 22782, 16397, 16582, 16582, 16401, 16397, 54466, 16665, 24461, 16396, 16461, 16936, 18180, 16967, 17003, 16672, 38798, 16604, 16474, 16386, 19810, 16401, 16476, 16582, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16582, 16582, 16416, 17009, 19837, 43587, 20189, 16704, 21270, 26498, 16671, 18288, 17362, 16396, 26797, 41415, 16396, 29761, 16730, 47805, 16734, 18577, 16671, 17589, 22088, 20246, 16397, 54466, 16665, 19837, 43587, 16843, 32680, 20029, 17114, 16741, 17490, 16647, 45799, 16674, 17628, 19637, 16397, 21937, 16671, 16647, 16604, 16442, 23236, 18331, 16400, 16444, 16391, 16386, 19327, 16400, 16392, 16474, 18452, 16396, 18926, 16412, 16385, 19327, 16385, 16476, 16395, 17242, 16396, 18759, 43587, 16704, 28414, 17655, 23675, 17803, 26548, 16395, 31257, 21474, 18184, 16734, 16819, 16699, 29952, 16666, 16674, 26164, 29952, 16666, 35082, 39188, 16397, 19139, 62523, 19880, 16673, 17213, 17242, 16396, 26952, 16967, 17003, 16672, 16722, 17500, 16647, 20562, 20960, 16673, 16647, 21270, 19837, 43587, 16704, 22130, 16397, 16772, 21646, 22539, 33566, 16672, 22738, 19837, 43587, 16769, 18201, 16741, 21983, 16409, 16387, 16387, 16429, 16446, 16474, 16443, 17888, 16474, 37049, 16396, 42378, 16666, 16476, 16476, 16604, 16412, 16604, 16403, 16397, 16429, 16446, 16474, 23053, 16476, 16387, 16387, 16387, 16387, 16429, 16446, 16474, 16443, 17888, 16474, 22062, 16396, 42378, 16666, 16476, 16476, 16604, 16412, 16604, 16443, 19911, 16391, 16604, 16474, 16458, 16604, 16396, 16604, 16400, 16476, 16604, 16443, 18357, 16392, 16397, 16429, 16446, 16474, 23053, 16476, 16387, 16387, 16387, 16387, 16429, 16446, 16474, 16443, 17888, 16474, 50844, 16476, 16476, 16604, 16412, 16793, 16446, 16474, 16443, 17888, 16474, 37049, 16396, 42378, 16666, 16476, 16476, 16604, 16394, 16604, 16401, 16429, 16446, 16474, 16443, 17888, 16474, 22062, 16396, 42378, 16666, 16476, 16476, 16604, 16412, 16604, 16401, 16443, 19911, 16391, 16604, 16474, 16458, 16604, 16394, 16604, 16400, 16476, 16604, 16443, 18357, 16392, 16397, 16429, 16446, 16474, 23053, 16476, 16387, 16387, 16387, 16387, 16429, 16446, 16474, 16443, 17888, 16474, 25017, 16861, 18349, 16476, 16476, 16604, 16412, 16822, 16397, 16429, 16446, 16474, 23053, 16476, 16387, 16387, 23236, 18331, 16400, 16391, 16448, 16392, 16397, 60585, 62523, 20923, 18180, 16967, 17003, 16672, 38798, 16397, 16604, 16391, 16449, 16392, 16397, 17359, 22541, 16443, 16390, 16466, 24445, 16673, 22738, 19837, 43587, 16397, 23236, 18331, 16400, 16582, 16582, 30359, 17031, 16721, 16395, 27733, 16709, 16667, 25002, 43657, 31462, 16715, 23675, 17803, 26548, 16734, 17476, 36244, 16641, 49445, 52798, 47805, 27966, 16734, 25182, 18586, 16872, 16992, 19194, 16397, 22646, 45799, 16674, 63984, 21140, 16673, 22738, 20189, 16807, 16992, 22360, 16672, 18686, 16672, 16741, 21983, 16397, 16582, 16582, 18313, 23204, 16647, 22738, 19837, 43587, 20174, 16395, 16604, 16401, 16404, 16396, 22744, 41415, 16396, 29761, 16730, 47805, 16673, 16604, 16442, 23236, 18331, 16400, 16604, 16391, 16448, 16392, 16444, 16391, 16386, 19327, 16400, 16392, 16474, 18452, 16396, 18926, 16412, 16385, 19327, 16385, 16476, 16872, 16992, 27609, 16674, 28060, 16397, 33461, 16396, 16461, 16936, 19837, 43587, 16843, 18288, 55531, 52798, 47805, 27966, 16734, 22745, 16673, 16604, 16400, 16401, 16399, 16965, 16709, 16647, 21425, 16397, 17544, 16811, 17843, 16395, 16641, 18494, 16396, 38645, 21098, 16802, 16396, 25812, 51054, 22863, 16704, 19570, 16741, 16647, 17709, 22863, 16734, 16778, 16604, 16412, 16604, 16400, 16406, 16399, 16604, 16445, 16522, 16486, 16445, 16674, 16790, 16604, 16412, 16604, 16403, 16399, 16399, 16604, 16445, 16460, 16423, 16445, 16397, 16582, 16582, 16853, 37507, 16443, 16390, 16466, 24445, 16872, 16992, 19194, 16674, 17027, 20905, 16672, 16604, 16442, 23236, 18331, 16400, 16444, 16391, 16386, 19327, 16400, 16392, 16474, 18452, 16396, 18926, 16412, 16385, 19327, 16385, 16476, 16391, 16449, 16392, 16397, 16772, 37507, 19837, 43587, 16872, 16992, 27609, 16809, 16738, 28284, 16403, 16399, 16402, 16604, 16391, 16405, 16399, 16399, 16965, 16395, 16604, 16403, 16401, 16416, 16392, 16687, 29490, 16466, 16741, 31561, 20988, 16395, 35198, 16401, 16400, 16400, 16402, 16741, 16687 ]
[ 0, 38340, 16395, 17907, 16604, 16402, 16400, 16395, 16604, 16401, 16399, 16400, 16401, 16582, 16582, 17278, 22244, 17897, 16807, 19118, 16604, 16397, 16397, 16397, 29801, 16395, 18850, 16674, 19196, 16395, 20331, 30814, 23072, 16397, 17294, 18022, 16395, 16742, 16390, 16690, 21339, 16647, 36992, 17411, 16673, 16647, 16987, 16384, 19898, 16732, 17961, 16641, 20297, 16642, 16390, 17174, 17005, 16859, 17963, 16414, 19845, 16395, 16647, 19979, 18355, 17158, 16671, 16703, 16641, 45325, 23260, 16917, 16811, 16604, 16401, 16399, 16400, 16401, 16734, 17009, 16741, 17204, 16741, 25539, 20476, 16662, 20891, 16674, 26312, 26861, 16647, 21987, 20795, 16397, 18764, 41807, 20349, 38743, 26867, 16891, 16647, 17301, 17685, 16673, 50939, 16674, 22491, 19122, 18127, 17264, 17473, 21987, 16674, 17963, 17560, 16647, 17634, 16673, 18850, 16397, 16582, 16582, 38528, 16604, 16400, 16582, 16415, 47280, 19404, 16390, 16409, 25225, 16641, 24950, 16734, 17746, 38704, 16762, 16397, 22801, 16674, 19462, 16842, 26139, 16741, 16873, 21815, 17021, 16647, 17634, 16734, 16641, 17299, 16767, 16811, 18827, 26439, 28998, 16397, 16582, 16582, 16415, 18946, 17357, 28051, 16409, 17958, 17203, 17578, 16604, 16391, 16770, 17047, 16392, 17724, 17659, 16671, 16667, 17291, 16604, 16397, 16397, 16397, 16770, 34674, 16395, 16728, 16390, 16466, 18764, 41807, 16390, 16466, 20909, 16674, 22706, 16604, 16385, 28367, 16673, 17958, 17572, 18891, 16385, 17746, 16395, 25888, 16738, 18969, 16741, 16733, 17851, 16604, 16385, 23913, 32346, 16385, 16671, 18946, 17357, 28051, 16397, 17465, 17659, 16891, 16674, 18634, 16912, 53397, 25888, 16738, 18969, 18943, 16604, 16391, 16770, 17049, 16390, 16466, 17811, 16986, 16769, 17259, 16733, 17123, 16785, 17123, 16804, 19210, 16945, 16721, 17005, 17135, 16888, 24950, 24256, 16396, 16833, 48628, 17014, 16733, 16763, 16672, 16647, 18130, 16390, 16466, 17745, 19167, 16674, 16397, 16397, 16397, 16392, 20648, 16395, 16811, 51511, 16872, 29069, 20512, 16440, 16673, 31732, 16671, 40654, 16931, 25888, 16397, 16604, 16393, 16470, 16976, 16393, 16582, 16582, 16415, 65202, 21206, 18664, 16604, 16391, 16438, 17795, 16749, 17339, 16395, 27021, 16392, 16409, 33341, 16719, 20334, 44354, 16674, 21409, 16642, 16390, 16604, 16403, 16965, 17499, 16868, 19037, 16641, 16604, 16401, 16396, 17093, 18094, 16672, 41683, 16673, 16604, 16385, 16438, 23967, 46605, 21870, 16385, 16397, 19582, 16390, 16466, 32627, 16868, 20732, 26384, 16809, 18054, 16642, 16390, 18764, 16395, 17746, 30659, 16997, 18983, 16674, 45163, 20603, 21987, 16604, 16391, 16436, 24568, 32212, 19692, 16392, 17437, 20159, 16390, 16466, 32627, 16868, 20732, 26384, 16809, 17746, 36093, 27895, 16395, 18483, 23763, 22850, 16395, 16727, 25311, 31383, 16604, 16391, 38839, 24143, 20288, 16759, 17236, 32212, 19692, 16392, 16674, 17259, 16922, 16397, 50389, 16704, 16604, 16387, 16400, 16404, 16715, 18494, 17386, 16604, 16398, 16604, 16387, 16401, 16404, 16715, 17490, 17897, 16604, 16398, 18519, 17021, 28236, 16715, 16858, 20432, 19994, 26168, 16604, 16391, 39229, 17299, 19931, 16392, 16582, 16400, 16407, 16394, 17299, 16604, 16398, 16604, 16401, 16400, 16394, 16671, 20065, 16582, 16582, 16415, 16772, 19719, 17086, 18140, 16997, 16866, 60840, 16604, 16391, 16422, 21835, 17481, 16395, 27021, 16392, 16409, 25657, 30659, 16997, 18983, 16868, 17027, 16703, 20297, 16642, 16390, 16811, 28998, 16734, 19544, 18321, 16819, 36968, 17825, 17299, 17490, 19582, 16674, 20159, 27656, 16397, 16582, 16582, 16415, 62218, 45688, 16677, 16604, 16391, 16676, 16673, 18260, 24132, 26152, 16392, 16409, 16772, 32627, 16767, 16811, 28998, 16868, 20732, 19899, 24119, 16659, 16395, 16738, 26201, 16674, 16922, 16397, 31849, 16665, 16809, 21700, 16830, 16390, 41038, 16397, 16582, 16387, 16404, 16582, 16582, 16415, 22411, 22804, 18795, 16673, 21612, 16409, 16999, 16390, 16466, 22291, 19141, 18097, 26072, 16641, 18321, 18980, 16809, 18070, 26789, 16705, 16841, 24418, 31396, 16767, 16604, 16400, 16399, 16409, 16400, 16404, 16463, 16672, 21300, 32366, 20742, 16397, 16582, 16582, 38528, 16604, 16401, 16582, 16582, 16415, 32551, 16409, 27219, 16891, 16674, 25225, 17933, 55947, 16448, 16390, 16466, 16604, 16401, 16403, 16757, 20624, 17447, 16936, 16384, 17170, 16604, 16400, 16407, 16674, 20985, 19851, 21963, 23198, 19107, 16604, 16391, 29994, 18266, 16641, 17634, 16785, 16859, 16392, 16868, 16703, 19107, 16661, 27823, 35281, 16734, 17203, 17746, 29793, 18411, 16936, 26248, 26243, 38882, 16647, 17514, 16672, 56034, 16666, 16395, 35093, 16454, 23917, 16395, 17009, 23160, 16395, 17498, 16396, 36285, 16674, 16922, 16397, 20359, 19417, 16719, 20334, 16868, 16703, 16709, 17459, 16671, 29407, 16912, 55352, 17158, 16741, 17204, 18764, 41807, 16872, 19241, 16986, 16868, 16703, 17882, 41632, 16397, 16582, 16387, 16400, 16399, 16604, 16398, 16604, 16400, 16407, 16394, 16582, 16582, 16415, 18609, 33081, 16390, 16466, 63040, 16409, 18795, 16673, 21409, 21987, 16868, 16703, 24729, 16641, 18321, 28346, 28347, 18311, 17299, 16672, 32212, 16671, 33172, 23561, 16397, 17170, 17299, 16868, 20763, 16772, 27442, 18795, 16604, 16391, 61420, 16672, 20058, 16392, 26072, 16641, 28186, 30546, 16674, 54601, 16677, 16673, 20696, 32960, 16809, 18070, 20911, 16397, 16604, 16400, 16399, 16399, 16388, 16673, 16858, 32401, 16604, 16391, 16456, 16397, 16452, 16397, 28236, 16395, 54601, 16677, 16674, 30546, 16392, 16868, 16854, 16671, 16772, 27442, 18795, 16397, 17664, 16868, 16703, 16641, 19986, 23032, 16604, 16402, 18980, 17441, 16397, 16582, 16387, 16400, 16399, 16604, 16398, 28346, 28347, 18311, 16582, 16582, 16415, 17143, 41489, 16390, 16466, 16409, 27219, 16671, 16647, 47542, 18107, 16851, 16709, 16647, 56765, 16384, 16999, 16390, 16466, 16667, 16604, 16385, 19315, 17332, 17960, 44946, 16385, 20934, 16470, 30982, 53498, 16709, 16647, 28998, 16390, 16466, 56765, 26606, 16397, 16604, 16401, 16400, 16394, 16604, 16398, 16604, 16387, 16400, 16399, 16604, 16398, 16604, 16404, 16463, 16582, 22127, 18784, 16715, 16647, 17299, 17441, 16384, 30450, 19899, 52313, 16674, 24775, 16868, 16703, 20994, 16715, 30141, 64244, 16734, 18705, 24646, 16786, 16774, 17126, 51766, 16397, 16582, 16387, 16400, 16401, 17702, 16604, 16398, 16604, 16387, 16400, 16404, 27259, 16582, 16582, 16415, 16762, 23135, 17949, 25571, 16604, 16391, 19276, 42236, 16604, 16389, 20712, 18258, 16392, 16409, 35796, 47741, 19912, 16657, 16395, 16647, 20680, 39464, 19622, 16673, 21987, 16734, 17259, 18208, 16767, 20680, 39464, 34729, 16604, 16401, 16399, 16400, 16401, 16384, 17933, 18798, 17072, 16732, 17335, 16604, 16385, 22871, 39464, 16385, 16604, 16396, 16660, 24363, 16395, 16742, 38927, 16395, 19104, 16395, 21108, 16811, 18308, 26152, 16674, 21573, 16671, 20297, 16642, 16390, 18267, 16809, 20433, 16673, 16921, 40732, 16395, 42090, 16673, 22388, 16395, 21649, 19058, 26647, 16674, 16922, 16397, 16582, 22725, 16671, 16604, 16400, 16399, 16463, 17490, 20159, 16674, 19986, 16397, 16582, 16582, 38528, 16604, 16402, 16582, 16415, 62218, 45688, 16677, 16604, 16391, 16676, 17015, 16673, 18260, 24132, 26152, 16392, 16409, 16772, 32627, 16709, 16811, 17386, 16868, 20732, 38631, 16898, 24292, 34973, 16395, 39549, 16449, 18969, 16395, 16772, 22391, 24254, 16674, 16922, 16397, 31849, 16665, 16809, 21700, 16830, 16390, 41038, 16397, 16582, 16387, 16404, 16582, 16582, 16415, 17470, 16962, 17075, 33775, 16604, 16391, 16676, 17015, 16673, 18260, 24132, 26152, 16392, 16409, 34797, 17311, 16868, 16703, 20297, 16642, 16390, 16647, 20041, 16767, 16604, 16404, 16463, 16604, 16398, 28346, 28347, 18311, 16582, 16582, 16415, 17143, 41489, 16390, 16466, 16409, 17385, 16674, 19899, 48389, 16868, 16703, 24729, 16741, 17204, 16741, 17746, 27741, 19581, 16778, 48494, 16395, 19163, 17987, 43474, 16674, 16772, 32445, 39628, 16397, 16582, 16387, 16406, 16582, 16582, 16415, 26694, 19106, 26172, 36383, 16409, 17746, 23066, 26881, 19462, 17113, 16604, 16391, 16467, 21159, 16671, 18157, 60971, 16646, 17098, 16674, 16719, 23965, 16392, 16868, 16703, 20297, 16642, 16390, 16647, 22213, 16986, 16397, 16582, 16582, 16415, 32010, 43691, 16409, 18659, 20738, 16673, 56986, 16674, 16772, 51398, 63447, 16868, 16703, 20297, 16642, 16390, 16647, 20041, 18184, 16734, 35789, 20956, 18490, 16395, 16772, 17267, 23108, 16674, 19622, 19139, 19582, 16397, 16582, 16387, 16406, 16582, 16582, 16415, 19941, 26300, 46333, 16409, 17746, 20408, 40506, 16434, 23796, 60080, 16868, 16703, 25539, 16986, 16715, 17653, 20297, 16642, 16390, 17299, 16397, 16582, 16582, 38528, 16604, 16408, 16604, 16396, 16604, 16400, 16399, 16409, 17778, 16861, 37942, 21612, 16674, 34729, 16384, 47246, 16672, 16647, 18247, 16673, 50077, 16604, 16391, 53350, 20508, 22874, 16395, 27021, 16392, 16811, 17142, 16396, 17093, 18094, 16868, 20732, 16604, 16401, 25652, 16674, 17030, 16604, 16402, 16399, 23489, 24046, 16673, 18445, 17020, 18440, 20856, 16395, 17361, 59118, 16674, 41823, 17209, 16456, 59321, 16809, 26312, 17274, 16741, 17809, 30279, 18792, 16395, 19178, 16673, 16687, 19046, 50220, 16395, 18659, 40950, 18671, 16395, 16759, 21618, 29110, 16395, 22411, 17485, 19171, 16674, 17227, 30130, 16771, 16674, 17259, 16395, 17259, 16922, 16397, 25284, 18209, 17467, 40288, 16809, 65020, 39516, 16659, 16395, 48749, 25716, 16646, 16674, 16966, 19482, 16830, 27479, 18599, 16671, 17830, 16641, 17589, 16397, 16582, 23844, 20131, 16647, 18211, 16931, 16811, 26152, 16397, 20331, 30814, 23072, 16409, 16582, 16582, 16393, 51758, 23434, 16704, 16604, 16387, 16404, 16850, 17378, 24690, 16661, 16704, 24906, 30209, 16674, 26220, 18443, 16671, 20236, 24045, 18692, 16397, 16582, 16582, 38528, 16604, 16400, 16407, 16604, 16396, 16401, 16399, 16582, 17409, 16390, 16466, 44022, 40000, 32081, 17015, 18443, 16471, 16384, 45840, 16868, 16703, 25049, 16647, 20408, 35438, 16767, 16647, 26934, 16604, 16391, 23499, 17009, 17265, 16656, 18578, 16392, 18919, 18764, 41807, 16390, 16466, 17562, 16672, 18908, 16868, 16703, 18183, 16715, 17653, 38420, 16811, 24296, 31666, 47882, 16397, 16582, 21010, 20408, 35438, 16384, 16582, 16582, 38528, 16604, 16401, 16400, 16582, 16415, 16772, 23368, 18868, 16604, 16389, 52768, 16409, 31202, 16758, 18880, 22176, 16390, 16466, 16604, 16400, 16399, 16399, 16757, 20297, 17299, 16734, 16647, 19692, 16741, 16873, 18634, 16647, 20041, 16734, 42902, 19070, 22483, 16741, 17015, 16673, 33380, 30148, 16397, 16582, 19315, 43189, 16604, 16398, 16604, 16387, 16404, 16582, 16582, 38528, 16604, 16401, 16402, 16604, 16396, 16604, 16401, 16403, 16582, 59918, 28490, 20076, 21008, 16641, 25288, 16604, 16401, 16396, 17093, 18094, 26072, 17030, 16604, 16407, 30690, 16673, 34119, 16674, 27774, 24265, 16384, 19912, 18308, 16674, 18267, 16671, 36589, 24150, 16674, 18241, 21239, 16604, 16397, 16397, 16397, 17580, 16704, 16647, 17617, 20255, 16715, 17310, 16917, 16673, 17578, 16671, 63655, 16912, 17616, 16395, 20331, 30814, 23072, 16397, 16582, 18264, 16922, 17624, 16395, 18536, 19562, 16409, 16398, 16398, 18409, 16397, 35681, 28490, 40738, 27337, 16397, 17070, 16397, 16582, 16582, 38528, 16604, 16401, 16402, 16582, 16415, 32010, 43691, 16409, 20452, 16668, 42746, 16868, 16703, 43943, 16647, 20041, 16767, 16811, 31566, 17299, 16397, 16582, 45894, 16409, 16811, 19692, 16872, 16992, 30650, 21657, 53377, 16715, 19347, 16674, 17154, 22710, 16604, 16397, 16397, 16397, 22225, 16807, 16992, 27837, 16397, 16582, 16582, 16415, 18946, 17357, 28051, 16409, 19736, 25537, 17602, 52228, 18184, 16734, 18054, 20858, 16868, 16703, 20297, 16642, 16390, 16647, 20041, 16397, 16582, 16387, 16400, 16399, 16582, 16582, 16415, 28841, 41623, 16409, 17746, 28270, 18404, 16948, 16868, 16703, 20297, 16642, 16390, 16647, 20041, 16767, 16811, 16604, 16400, 16406, 16394, 17299, 16397, 16582, 16582, 38794, 16395, 17907, 16604, 16401, 16408, 16395, 16604, 16401, 16399, 16400, 16401, 16582, 16582, 27064, 16395, 20331, 30814, 23072, 16395, 17135, 16667, 16819, 26053, 17696, 21088, 17386, 16395, 16728, 16763, 17005, 16671, 23633, 16674, 18615, 16641, 18097, 16673, 19711, 32406, 16397, 44227, 16390, 16466, 17813, 16772, 22804, 25658, 16955, 18764, 41807, 18625, 16641, 17204, 36369, 18717, 16815, 16968, 23850, 20297, 20795, 16604, 16397, 16397, 16397, 16451, 29701, 16903, 16604, 16391, 16448, 17687, 16392, 16715, 16968, 24544, 23419, 16767, 17907, 17022, 33775, 16397, 47246, 16672, 16647, 18544, 16673, 16647, 34875, 19106, 23546, 16604, 16391, 16770, 16641, 18187, 18623, 16815, 16719, 22238, 16390, 16466, 63973, 19941, 26300, 20878, 16392, 16395, 16811, 28998, 21035, 16917, 19857, 25445, 21684, 18019, 16715, 16811, 51511, 16397, 17614, 21931, 16728, 16955, 16395, 17028, 18798, 17187, 40160, 16672, 16647, 46148, 16785, 17736, 21100, 16395, 16667, 21748, 16604, 16400, 16407, 16399, 19097, 49946, 32513, 16396, 32742, 18058, 16673, 16647, 20041, 16944, 19296, 16641, 18870, 16673, 17255, 46987, 16741, 17204, 16741, 32786, 16672, 19101, 16397, 23638, 20944, 16931, 17907, 17022, 16763, 16647, 19051, 18950, 16397, 16772, 21586, 17244, 17028, 18798, 17187, 16873, 16958, 40160, 16955, 16641, 18271, 45154, 24227, 35344, 16673, 24605, 16390, 16466, 18980, 16397, 17294, 19339, 16721, 16414, 43584, 27465, 19575, 16647, 28998, 17441, 16397, 16999, 16763, 16945, 17255, 19575, 16641, 24025, 24121, 16395, 20331, 30814, 23072, 16395, 16734, 36210, 17667, 56004, 16674, 16398, 16658, 28918, 23960, 16671, 33894, 16917, 18943, 16673, 16647, 25454, 25794, 18267, 18019, 17560, 22895, 45315, 58274, 16390, 16466, 18980, 16397, 17426, 16732, 20204, 16390, 16467, 24387, 16641, 17299, 16785, 25445, 16767, 17907, 17022, 33775, 16395, 17049, 20349, 38743, 25049, 16728, 18839, 17014, 16647, 30508, 32406, 16396, 48320, 19692, 48527, 16689, 36334, 16735, 18199, 16667, 23419, 16986, 16709, 18850, 16604, 16406, 16397, 17544, 16922, 17624, 16674, 24663, 16395, 18344, 16891, 17907, 17022, 33775, 16390, 16466, 19289, 16604, 16396, 19562, 16409, 16398, 16398, 18409, 16397, 39467, 61343, 16898, 16397, 17070, 16397, 16582, 16582, 20505, 17141, 16671, 18764, 41807, 16390, 16466, 16604, 16385, 16397, 16397, 16397, 21027, 16831, 20029, 25794, 18267, 18019, 17560, 22895, 45315, 58274, 16390, 16466, 18980, 16397, 16397, 16397, 16385, 16395, 20331, 30814, 23072, 16397, 17294, 17016, 16667, 18019, 16728, 16763, 16715, 16811, 51511, 16397, 20119, 17049, 17120, 17335, 16728, 16763, 59926, 16604, 16397, 16397, 16397, 16448, 17052, 16396, 37108, 19953 ]
[ 0, 16396, 16396, 16396, 16582, 38841, 16409, 16604, 16390, 17507, 23467, 16641, 16604, 16402, 16401, 16404, 16396, 64548, 22309, 16395, 36216, 16734, 16647, 44337, 21166, 18505, 17370, 25661, 29643, 62408, 16604, 16391, 16422, 26533, 16435, 16392, 16395, 16944, 24669, 16641, 18122, 17015, 16673, 16647, 17567, 17867, 42644, 22262, 16767, 16604, 16408, 16395, 16604, 16400, 16401, 16674, 16604, 16400, 16403, 16397, 16404, 16678, 16673, 17262, 29154, 19249, 16815, 16647, 16604, 16442, 16604, 16393, 16423, 16756, 35871, 16393, 16444, 16474, 16476, 16396, 38778, 23476, 32567, 16700, 23109, 16761, 29300, 36431, 25411, 30974, 16604, 16391, 16423, 16396, 17841, 16427, 18327, 16392, 16672, 16647, 18124, 17027, 21900, 16809, 16647, 30958, 17294, 21811, 27134, 22309, 16604, 16391, 16422, 40874, 16392, 16397, 16772, 17769, 35711, 16395, 17135, 16991, 21852, 17411, 17017, 16958, 22111, 17560, 16647, 17586, 23789, 17650, 16395, 29320, 16604, 16401, 16400, 16401, 16796, 26533, 16435, 17411, 17017, 26211, 16604, 16387, 16443, 23966, 16408, 16399, 16387, 19097, 16387, 16445, 16401, 16387, 16673, 24050, 16397, 17119, 16807, 19372, 16665, 16674, 33402, 18268, 16647, 17586, 17655, 16641, 30761, 16721, 20106, 17099, 16647, 17650, 16673, 23552, 18841, 16395, 45982, 16395, 18171, 16396, 18336, 39304, 16674, 19419, 25939, 16715, 17492, 16673, 16647, 22309, 17411, 17017, 16397, 16772, 23526, 21014, 16807, 41654, 16673, 17415, 16604, 16400, 16403, 16674, 16604, 16401, 16403, 28562, 19810, 16674, 22250, 16792, 17413, 23960, 16604, 16391, 23807, 16815, 22906, 21331, 16392, 16673, 16604, 16387, 16443, 23966, 16400, 16387, 16669, 16425, 16472, 29797, 16387, 16445, 16474, 16396, 16400, 16476, 16387, 16395, 16674, 16647, 45939, 21998, 16604, 16404, 16401, 16405, 16402, 21331, 46758, 17032, 16604, 16387, 16404, 16443, 24565, 16387, 16397, 17119, 26426, 16647, 39035, 41059, 16673, 16796, 26533, 16435, 21331, 16944, 16769, 17027, 27024, 16767, 16604, 16400, 16397, 16403, 54569, 16674, 17393, 17007, 16671, 19884, 39380, 16734, 21216, 19807, 18466, 16410, 16986, 16704, 17028, 19591, 16715, 16998, 50041, 16661, 16673, 16647, 21557, 39035, 21304, 19057, 16604, 16387, 16434, 16446, 16474, 16400, 16397, 16403, 16476, 16412, 16400, 16399, 16387, 16669, 16425, 16472, 16397, 17170, 16985, 25107, 16671, 16647, 18122, 18636, 16673, 18125, 26755, 16674, 44150, 17586, 16672, 16647, 16751, 16396, 17841, 16427, 18327, 17867, 42644, 22262, 16674, 16868, 29202, 18613, 18077, 16673, 16647, 18229, 16396, 44523, 21557, 21454, 16673, 19830, 24261, 16674, 28347, 16429, 19962, 16672, 40220, 16891, 16671, 16604, 16387, 16473, 16604, 16443, 23966, 16604, 16400, 16387, 16397, 16390, 16582, 26371, 16409, 16582, 16396, 16604, 16475, 16582, 16696, 27578, 18331, 31975, 17125, 16387, 16445, 16474, 16400, 16395, 16401, 16395, 16402, 16476, 16387, 16442, 16445, 16400, 16444, 16395, 29314, 16396, 16433, 27306, 30979, 18128, 16760, 17326, 16387, 16445, 16474, 16400, 16395, 16403, 16476, 16387, 16395, 23810, 37134, 34418, 16387, 16445, 16400, 16387, 16395, 24418, 34935, 19379, 16387, 16445, 16474, 16401, 16395, 16404, 16395, 16400, 16476, 16387, 16395, 22443, 16832, 16397, 18331, 35935, 34498, 16387, 16445, 16401, 16387, 16395, 20238, 17034, 19055, 16791, 16717, 16458, 16714, 16387, 16445, 16474, 16400, 16395, 16405, 16476, 16387, 16395, 16759, 16397, 16425, 16397, 20680, 17442, 16915, 16387, 16445, 16474, 16406, 16395, 16407, 16476, 16387, 16674, 18905, 16711, 16397, 18331, 56736, 25764, 16387, 16445, 16401, 16387, 16443, 16582, 16696, 16387, 16445, 16400, 16387, 62973, 27041, 23476, 38067, 16395, 22038, 17129, 64708, 26400, 16395, 20456, 17212, 21417, 16395, 28178, 16830, 16439, 16400, 16604, 16402, 64039, 16443, 16582, 16696, 16387, 16445, 16401, 16387, 30759, 16644, 16715, 27041, 23476, 38067, 20468, 16395, 18059, 16673, 54560, 19838, 24700, 16395, 19780, 30252, 16395, 34691, 19645, 16395, 54560, 19838, 24700, 25629, 16400, 16399, 16604, 16408, 20709, 16443, 16582, 16696, 16387, 16445, 16402, 16387, 36851, 16416, 18764, 20952, 16395, 28842, 46898, 16395, 16772, 19106, 16395, 19106, 21417, 16395, 36003, 16744, 18376, 16395, 16604, 16406, 16403, 16399, 16404, 18764, 20952, 16443, 16582, 16696, 16387, 16445, 16403, 16387, 25777, 16396, 32593, 16760, 16396, 17071, 18681, 16698, 20892, 25661, 16851, 17751, 16680, 16855, 16395, 30292, 17661, 16751, 17569, 27138, 16604, 16405, 16408, 16395, 16604, 16404, 16402, 16400, 16401, 16400, 25126, 16461, 16395, 21637, 16443, 16582, 16696, 16387, 16445, 16404, 16387, 37012, 19542, 16395, 18059, 16673, 16647, 21994, 29598, 16395, 29598, 22804, 16395, 16604, 16406, 16404, 16402, 16404, 16395, 18764, 20952, 16443, 16582, 16696, 16387, 16445, 16405, 16387, 19639, 23064, 16715, 25661, 44670, 22091, 20468, 16395, 18059, 16673, 21994, 20727, 16395, 16604, 16402, 16404, 16957, 42621, 30984, 16395, 38551, 17949, 16395, 34384, 16604, 16405, 16399, 16399, 16408, 16395, 20727, 16443, 16582, 16696, 16387, 16445, 16406, 16387, 18611, 23064, 16715, 25661, 27041, 23476, 38067, 16395, 61255, 21054, 16673, 22805, 40283, 20468, 16395, 61232, 18059, 34845, 16395, 16796, 23682, 16455, 26995, 16739, 16397, 16430, 16397, 16395, 61232, 16604, 16403, 16400, 16400, 16399, 16399, 16406, 16395, 19679, 16443, 16582, 16696, 16387, 16445, 16407, 16387, 49524, 19780, 18490, 18059, 16395, 23406, 16449, 42288, 16395, 18569, 22991, 17159, 16456, 16604, 16406, 16407, 16400, 16399, 16399, 16400, 16395, 19679, 16443, 16582, 16449, 34289, 20147, 16409, 16582, 16396, 16604, 16390, 16828, 58742, 16397, 54690, 16390, 16582, 16396, 16604, 16390, 39527, 16396, 58425, 16397, 54690, 16390, 16582, 23718, 16409, 16604, 16390, 16416, 16604, 16402, 16401, 16404, 16396, 64548, 16796, 26533, 16435, 22309, 16673, 16647, 16604, 16442, 16393, 16423, 16756, 35871, 16393, 16444, 16474, 16476, 16396, 17841, 16427, 18327, 16398, 16422, 40874, 22262, 16390, 16582, 16396, 16396, 16396, 16582, 16582, 16443, 16442, 24152, 22713, 16443, 16444, 16582, 16582, 26939, 16690, 17129, 16604, 17064, 33402, 17296, 16604, 17064, 21557, 49690, 16409, 40220, 16582, 16582, 38194, 16582, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16582, 16582, 16853, 16604, 16393, 16423, 16756, 35871, 16393, 16396, 38778, 23476, 32567, 16700, 23109, 16761, 29300, 36431, 25411, 30974, 16604, 16442, 16423, 16396, 17841, 16427, 18327, 16410, 16604, 16415, 16452, 18221, 16400, 16399, 16444, 16704, 16647, 20770, 22291, 21465, 17471, 19383, 16666, 31893, 22309, 17255, 36216, 16734, 16647, 16604, 16393, 16423, 16756, 35871, 24459, 51338, 16393, 16604, 16442, 16415, 16761, 28308, 16459, 16400, 16399, 16444, 16397, 16999, 16704, 16641, 24699, 22309, 16674, 26615, 16671, 18288, 16641, 19609, 16674, 59092, 18058, 16673, 16647, 17242, 16396, 32825, 30139, 16644, 34142, 16767, 16641, 30548, 18901, 34303, 16673, 16604, 16387, 16400, 16387, 16397, 16751, 16396, 17841, 16427, 18327, 24669, 16604, 16387, 16443, 23966, 16604, 16404, 16406, 16399, 16387, 19097, 16387, 16445, 16401, 16387, 16673, 24050, 16767, 16604, 16387, 16400, 16400, 16399, 16387, 16395, 16604, 16387, 16400, 16405, 16399, 16387, 16395, 16604, 16387, 16401, 16404, 16399, 16387, 16395, 16604, 16387, 16402, 16404, 16399, 16387, 16674, 16604, 16387, 16404, 16399, 16399, 16387, 16604, 16387, 16474, 16443, 21685, 16476, 16387, 16460, 16674, 16704, 21852, 16672, 26965, 21920, 16734, 16604, 16442, 16393, 16423, 16756, 35871, 16393, 16444, 16474, 16476, 17655, 16647, 24529, 16745, 16688, 24789, 29364, 43199, 16604, 16442, 16431, 54284, 16410, 16604, 16415, 16463, 46042, 16444, 16767, 16604, 16400, 16400, 16399, 16674, 16604, 16400, 16405, 16399, 16604, 16387, 16474, 16443, 21685, 16476, 16387, 16460, 16674, 16647, 34122, 17725, 16674, 24529, 29110, 51580, 17143, 40491, 16604, 16442, 20961, 28203, 16410, 16604, 16415, 17977, 16948, 16444, 16767, 16604, 16401, 16404, 16399, 16395, 16604, 16402, 16404, 16399, 16674, 16604, 16404, 16399, 16399, 16604, 16387, 16474, 16443, 21685, 16476, 16387, 16460, 16397, 16772, 22309, 16704, 17366, 16903, 16673, 18817, 22262, 23461, 16671, 16807, 27435, 56573, 61847, 25891, 32186, 16395, 16917, 18676, 16672, 16647, 25886, 56319, 26211, 16604, 16387, 16400, 16404, 16399, 16387, 19097, 16387, 16445, 16401, 16387, 16604, 16391, 17347, 16793, 32089, 18676, 16392, 16395, 17142, 16672, 16647, 25461, 56319, 26211, 16641, 18804, 16673, 16604, 16387, 16401, 16404, 16399, 16387, 19097, 16387, 16445, 16401, 16387, 16604, 16391, 17347, 16702, 32089, 22262, 16392, 16674, 17567, 22262, 16709, 16647, 63290, 17867, 17662, 17492, 26211, 16604, 16387, 16443, 23966, 16604, 16402, 16404, 16387, 19097, 16387, 16445, 16401, 16387, 16674, 23461, 16671, 39306, 16734, 16647, 30958, 16674, 21811, 27134, 18901, 34303, 22309, 16604, 16442, 16422, 40874, 16410, 16604, 16415, 43833, 16394, 16400, 16400, 16444, 16604, 16391, 17347, 16796, 40874, 22262, 16392, 16397, 16772, 16751, 16396, 17841, 16427, 18327, 22309, 16704, 25880, 16604, 16404, 16396, 16387, 16443, 24565, 16387, 55201, 31557, 16673, 16604, 16391, 16400, 16402, 16401, 16395, 16604, 16400, 16401, 16400, 16395, 16604, 16402, 16402, 16397, 16404, 16395, 16604, 16402, 16406, 16397, 16406, 16395, 16604, 16403, 16403, 16397, 16399, 16392, 16669, 16425, 16472, 16767, 16604, 16391, 16400, 16400, 16399, 16395, 16604, 16400, 16405, 16399, 16395, 16604, 16401, 16404, 16399, 16395, 16604, 16402, 16404, 16399, 16395, 16604, 16404, 16399, 16399, 16392, 16604, 16387, 16443, 21685, 16387, 16460, 16674, 16704, 19272, 16671, 20897, 16604, 16387, 16443, 23966, 16604, 16401, 16399, 16399, 16395, 16399, 16399, 16399, 16387, 21331, 17014, 18293, 16604, 16442, 16415, 16433, 16716, 17770, 16394, 16400, 16400, 16444, 16397, 16582, 16582, 16416, 18650, 18636, 16673, 22399, 22991, 35313, 17586, 16704, 18125, 16674, 23120, 17030, 16647, 16751, 16396, 17841, 16427, 18327, 22262, 16397, 16875, 18343, 16395, 16647, 17867, 42644, 16751, 16396, 17841, 16427, 18327, 16398, 16422, 40874, 22262, 16395, 16944, 16769, 16647, 18910, 16673, 16811, 19420, 16395, 16807, 16992, 19372, 16665, 16672, 16647, 26755, 16604, 16391, 16928, 16604, 16387, 16465, 16604, 16443, 23966, 16604, 16401, 16401, 16397, 16400, 16387, 16392, 16741, 17015, 16673, 16647, 63581, 25490, 25785, 30974, 16604, 16442, 23460, 20538, 16410, 16604, 16415, 16466, 16857, 16657, 16444, 16674, 16672, 16647, 44150, 16604, 16391, 16928, 16604, 16387, 16426, 16604, 16443, 23966, 16604, 16401, 16399, 16397, 16400, 16387, 16392, 16734, 16647, 18303, 24687, 16875, 18656, 16396, 24979, 29643, 62408, 16604, 16391, 28850, 64731, 16392, 17181, 16647, 19590, 64731, 16875, 64570, 30765, 25785, 30974, 16604, 16442, 28850, 18320, 20538, 16410, 16604, 16415, 18436, 16699, 17222, 16444, 36431, 25411, 30974, 16604, 16391, 16427, 18327, 16392, 16397, 16875, 16647, 16804, 16396, 27967, 16396, 16451, 25518, 18368, 16395, 16647, 16796, 40874, 22262, 16868, 16703, 21852, 22051, 17142, 20884, 28266, 26576, 17032, 16647, 26692, 20538, 16672, 16604, 16403, 26755, 26312, 16809, 16647, 16908, 30062, 16396, 19577, 28302, 30974, 16604, 16391, 16426, 29417, 16392, 16671, 16703, 21996, 16891, 16734, 16647, 26378, 36431, 29643, 62408, 16604, 16391, 16437, 34510, 16392, 30974, 29643, 62408, 16604, 16391, 16437, 17904, 16392, 16395, 16944, 16763, 16647, 19170, 29723, 16715, 40057, 17213, 22262, 16397, 16875, 18150, 16395, 16647, 16796, 40874, 22262, 16769, 17255, 21852, 16671, 16604, 16387, 16426, 16604, 16443, 23966, 16604, 16400, 16397, 16404, 16396, 16401, 16387, 19538, 16397, 26576, 17032, 16647, 17743, 24086, 16809, 19590, 18320, 20538, 16741, 17015, 16673, 16647, 22440, 17268, 16674, 16875, 64570, 30974, 29643, 62408, 16715, 44670, 22091, 16604, 16391, 16437, 24460, 16416, 16392, 16908, 30062, 16396, 35899, 16875, 64570, 30958, 16604, 16391, 27595, 58525, 16392, 22309, 16395, 16674, 16734, 16647, 30958, 39665, 45772, 16604, 16391, 16422, 18189, 21843, 16392, 16671, 16641, 33960, 27540, 31942, 16673, 16604, 16387, 16443, 23966, 16604, 16401, 16402, 16387, 16397, 16582, 16582, 17071, 18150, 16671, 16811, 26755, 16674, 18046, 16396, 16642, 64570, 28365, 16986, 16704, 17027, 24730, 42414, 39546, 22643, 16815, 17259, 16673, 16647, 18961, 18901, 34303, 33692, 16397, 16772, 26692, 20538, 22309, 23975, 18901, 17258, 23386, 16891, 16671, 16604, 16387, 16473, 16443, 23966, 16399, 16397, 16402, 16387, 16672, 16647, 16796, 40874, 16674, 16793, 32089, 22262, 16715, 18546, 16858, 40220, 16734, 16604, 16387, 16465, 16411, 16400, 16406, 16397, 16406, 16406, 16387, 16397, 16772, 21821, 16396, 35899, 25571, 16604, 16391, 16401, 16451, 16421, 16392, 30958, 19941, 34303, 30974, 16604, 16442, 16401, 16451, 46697, 23610, 16410, 16604, 16415, 16401, 22592, 16444, 24669, 17240, 16673, 16647, 16796, 40874, 22262, 16715, 40220, 16734, 16604, 16387, 16449, 16446, 16474, 16425, 16476, 16411, 16400, 16408, 16397, 16405, 16387, 16674, 30548, 18901, 34303, 16673, 16604, 16387, 16443, 23966, 16399, 16397, 16400, 16387, 16397, 16772, 16751, 16396, 17841, 16427, 18327, 22262, 16958, 23461, 16671, 39306, 16734, 16647, 16796, 40874, 22309, 16395, 16944, 16704, 24036, 16674, 26615, 16671, 20165, 18901, 17258, 23386, 16715, 16858, 40220, 16734, 16604, 16387, 16465, 16411, 16400, 16408, 16397, 16407, 16387, 16671, 16604, 16387, 16473, 16443, 23966, 16399, 16397, 16404, 16387, 16397, 24229, 16395, 16647, 55634, 25132, 16441, 25406, 22905, 22309, 16872, 23975, 18901, 17258, 23386, 16673, 20939, 40220, 17030, 20113, 18519, 16673, 16647, 16751, 16396, 17841, 16427, 18327, 16398, 16422, 40874, 22262, 16671, 16641, 30548, 18901, 34303, 16673, 16604, 16387, 16473, 16443, 23966, 16399, 16397, 16405, 16387, 16674, 60685, 16641, 18650, 19971, 16673, 40220, 16767, 16604, 16387, 16473, 16443, 23966, 16400, 16387, 16397, 16582, 16582, 16853, 19609, 16674, 19431, 28365, 16815, 16647, 17963, 44150, 16671, 16647, 63362, 16674, 24730, 42414, 39546, 22643, 18199, 16647, 16751, 16396, 17841, 16427, 18327, 16398, 16422, 40874, 22262, 16819, 17603, 16828, 30167, 16715, 23435, 22012, 16673, 16647, 19830, 16396, 29239, 16674, 28347, 16429, 21557, 19419, 27319, 16397, 18523, 16395, 16647, 22643, 16673, 16647, 16751, 16396, 17841, 16427, 18327, 22262, 16704, 16804, 18761, 16859, 24730, 16672, 16647, 21557, 16397, 17958, 16673, 16647, 22262, 16769, 21900, 17285, 16671, 16641, 16604, 16387, 16404, 16443 ]
[ 0, 50721, 16644, 17115, 16964, 17405, 16672, 16811, 19420, 16409, 16660, 26024, 16423, 16395, 20873, 16733, 25218, 16396, 35195, 16396, 16643, 25218, 16410, 16670, 19295, 46173, 16395, 20639, 56276, 16410, 16796, 18987, 43611, 16395, 29921, 57209, 54203, 16396, 16402, 16396, 44810, 16758, 16774, 61194, 16954, 16410, 34787, 16421, 16395, 16887, 31018, 26525, 21348, 16397, 16582, 16582, 38194, 16582, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16582, 16582, 16853, 17650, 16673, 54260, 25725, 38409, 16704, 45485, 16895, 16809, 16641, 17797, 16673, 17910, 51409, 20873, 16733, 25218, 16396, 35195, 16396, 16643, 25218, 16604, 16391, 16449, 26024, 16423, 16392, 37732, 20671, 16721, 16769, 39576, 18365, 16741, 16887, 31018, 26525, 20671, 16604, 16391, 26533, 35945, 16392, 16397, 16727, 16880, 42184, 16661, 18494, 35857, 16673, 18422, 16604, 16393, 18971, 16462, 16419, 16393, 16785, 16604, 16393, 18971, 16453, 16404, 16393, 16769, 31495, 16674, 16829, 16804, 16807, 38252, 25725, 22833, 33293, 16395, 27742, 16721, 18101, 16462, 16419, 16674, 18101, 16453, 16404, 16807, 28387, 39306, 16672, 16914, 24128, 16604, 16391, 16442, 16415, 54690, 16405, 16444, 16410, 16604, 16442, 16415, 54690, 16401, 16400, 16444, 16392, 16397, 18523, 16395, 18422, 18101, 16462, 16419, 16785, 18101, 16453, 16404, 16704, 19062, 16715, 18027, 16887, 35781, 17560, 35109, 35781, 17172, 28758, 16604, 16393, 18971, 16462, 16419, 16393, 16398, 16393, 18971, 16453, 16404, 16393, 16396, 21858, 25878, 19744, 25167, 16858, 54260, 25725, 24588, 16767, 20344, 16604, 16391, 16442, 16415, 54690, 16401, 16401, 16444, 16410, 16604, 16442, 16415, 54690, 16400, 16401, 16444, 16392, 16397, 16875, 23065, 16395, 16887, 21886, 16642, 16704, 17889, 16715, 16647, 27756, 38409, 16674, 34951, 16673, 16887, 54644, 16466, 17065, 30985, 25725, 39533, 16604, 16391, 16442, 16415, 54690, 16400, 16408, 16444, 16410, 16604, 16442, 16415, 54690, 16402, 16400, 16444, 16392, 16397, 34787, 16421, 16403, 21438, 16671, 16807, 16641, 18814, 16741, 16641, 27771, 21348, 16672, 16641, 37384, 16673, 16887, 34784, 16672, 16647, 18334, 17275, 16943, 16674, 16741, 16641, 38409, 21348, 16672, 18242, 25725, 39533, 16604, 16391, 16442, 16415, 54690, 16400, 16401, 16444, 16392, 16397, 16582, 16582, 19569, 16461, 22102, 19134, 16674, 47405, 16673, 54260, 25725, 16704, 48774, 24203, 16809, 16641, 22341, 16673, 16887, 31018, 27100, 19487, 18365, 16741, 29523, 19487, 16395, 16944, 43849, 30039, 16671, 16647, 39533, 16397, 16875, 19208, 16671, 20474, 17181, 22193, 16785, 22271, 16395, 17213, 29523, 19487, 39224, 20825, 16673, 18101, 16462, 16419, 16674, 18101, 16453, 16404, 16674, 35269, 22652, 29707, 16673, 36793, 16741, 16887, 54644, 16466, 16397, 16711, 17785, 17679, 16673, 16887, 54644, 16466, 17911, 16671, 16641, 16951, 16817, 17529, 17731, 16395, 20781, 59657, 20515, 16647, 22341, 16673, 29523, 19487, 16410, 16647, 31445, 19072, 16914, 38409, 16395, 16662, 19635, 17065, 21160, 16785, 17009, 16887, 17663, 16949, 16756, 16674, 34312, 16887, 21886, 16642, 16674, 34787, 16421, 16403, 17437, 17285, 16396, 18326, 24329, 18101, 16453, 16404, 16397, 16875, 23065, 16671, 20909, 16396, 18926, 16887, 54644, 16466, 16395, 16604, 16393, 18971, 16462, 16419, 16393, 16396, 21858, 16887, 54644, 16466, 17874, 16922, 19988, 16395, 17299, 56988, 16795, 20825, 16673, 25725, 34439, 16395, 16674, 44415, 52980, 16697, 16604, 16391, 16442, 16415, 54690, 16401, 16402, 16444, 16392, 16395, 16641, 49494, 16721, 16704, 16647, 19225, 16673, 16647, 47405, 31583, 35885, 16809, 28758, 48920, 37668, 16604, 16391, 16393, 25709, 16471, 16393, 16392, 16604, 16393, 18971, 16462, 16419, 16393, 16396, 21858, 21617, 16604, 16391, 16442, 16415, 54690, 16400, 16405, 16444, 16392, 16397, 56185, 16395, 16604, 16393, 18971, 16453, 16404, 16393, 16396, 21858, 16887, 54644, 16466, 33279, 16758, 31416, 16674, 44415, 17036, 17435, 35439, 16604, 16391, 16442, 16415, 54690, 16400, 16406, 16444, 16392, 16397, 16772, 23286, 16673, 34787, 16421, 20825, 16672, 33331, 29523, 19487, 16395, 16672, 33538, 16734, 16647, 22833, 33293, 16673, 18494, 16396, 21858, 16887, 54644, 16466, 16674, 21617, 16395, 25470, 16721, 18101, 16462, 16419, 16674, 18101, 16453, 16404, 16829, 16804, 16807, 29329, 24128, 16672, 16887, 54644, 36793, 16674, 36942, 16673, 38409, 16397, 16582, 16582, 18971, 16462, 16419, 16674, 18101, 16453, 16404, 18821, 24507, 16807, 23971, 16992, 28152, 17135, 16647, 37073, 16673, 38409, 16674, 16395, 27626, 16395, 16769, 19423, 16672, 25695, 16647, 29148, 22833, 63134, 23247, 16815, 16641, 33279, 17160, 16887, 54644, 16671, 16641, 19436, 16967, 16395, 18180, 16642, 20234, 16895, 25725, 28598, 16397, 21604, 16728, 16872, 16992, 22738, 16721, 18101, 16462, 16419, 16674, 18101, 16453, 16404, 17333, 53726, 16704, 25865, 16672, 20299, 16887, 54644, 16466, 16604, 16391, 45497, 16809, 36991, 16604, 16443, 16442, 16442, 16415, 54690, 16401, 16408, 16444, 16443, 16444, 16395, 34795, 16604, 16443, 16442, 16442, 16415, 54690, 16400, 16404, 16444, 16443, 16444, 16395, 32995, 16604, 16443, 16442, 16442, 16415, 54690, 16402, 16399, 16444, 16410, 16604, 16442, 16415, 54690, 16400, 16403, 16444, 16443, 16444, 16395, 16785, 56584, 29452, 16745, 23720, 17873, 16604, 16443, 16442, 16442, 16415, 54690, 16401, 16444, 16443, 16444, 16392, 16395, 16647, 23674, 22833, 63134, 22383, 16721, 16769, 35885, 16809, 19134, 21876, 16604, 16393, 18971, 16462, 16419, 16393, 16396, 16674, 16604, 16393, 18971, 16453, 16404, 16393, 16396, 21858, 16887, 54644, 16466, 18510, 16721, 18101, 16462, 16419, 16674, 18101, 16453, 16404, 16829, 16807, 20432, 24128, 16672, 16887, 54644, 16466, 16397, 28106, 16395, 16604, 16442, 16415, 54690, 16402, 16404, 16444, 21766, 16604, 16393, 19157, 16402, 16393, 16674, 16604, 16393, 34141, 16400, 16393, 16741, 18821, 24507, 16673, 18101, 16462, 16419, 17131, 19134, 19527, 16397, 16582, 16582, 31594, 22913, 20515, 16647, 23674, 22072, 16673, 18101, 16462, 16419, 16674, 18101, 16453, 16404, 16704, 25817, 16809, 16914, 27592, 16671, 23968, 16396, 16674, 19532, 16396, 55700, 20825, 16815, 16647, 58029, 16862, 16845, 16604, 16391, 16442, 16415, 54690, 16401, 16407, 16444, 16410, 16604, 16442, 16415, 54690, 16404, 16444, 16410, 16604, 16442, 16415, 54690, 16401, 16408, 16444, 16410, 16604, 16442, 16415, 54690, 16402, 16404, 16444, 16392, 16397, 24423, 16641, 34679, 19278, 17120, 18375, 16715, 16647, 56680, 16674, 42322, 17067, 18688, 16673, 16647, 23468, 16673, 16641, 18155, 16671, 16641, 16887, 31018, 29769, 16604, 16391, 16442, 16415, 54690, 16401, 16408, 16444, 16410, 16604, 16442, 16415, 54690, 16402, 16402, 16444, 16392, 16397, 18523, 16395, 23273, 20825, 19029, 23526, 16815, 16647, 25651, 16673, 16794, 41156, 18101, 16462, 16419, 16785, 18101, 16453, 16404, 17120, 16703, 16667, 31002, 17717, 16721, 16704, 48774, 17181, 16647, 16977, 34787, 16421, 16397, 43962, 16673, 18101, 16462, 16419, 16672, 16647, 25739, 16673, 18101, 16453, 16404, 16604, 16391, 16770, 25304, 43123, 16392, 33273, 16647, 41391, 25416, 16673, 17492, 21348, 16443, 16390, 16466, 22072, 16672, 16887, 31018, 23468, 16397, 16582, 16582, 18313, 16811, 17291, 16395, 16742, 64232, 50350, 18101, 16462, 16419, 16785, 18101, 16453, 16404, 17065, 16641, 16604, 16393, 18971, 16462, 16419, 16393, 25296, 16398, 16393, 18971, 16453, 16404, 16393, 20639, 16396, 21858, 16604, 16391, 27584, 56276, 16604, 16443, 16442, 16451, 19295, 46173, 16443, 16444, 16392, 51548, 55943, 18155, 18089, 16721, 16763, 26447, 16672, 17362, 33651, 19134, 19527, 16397, 18708, 18155, 20329, 16769, 24709, 17975, 18103, 31018, 16850, 16843, 16703, 29387, 16671, 54260, 25725, 19028, 16647, 16794, 41156, 20825, 16673, 18101, 16462, 16419, 16785, 18101, 16453, 16404, 16397, 21907, 20980, 19335, 21766, 22652, 17476, 18602, 33910, 24507, 16395, 16944, 16958, 18613, 43117, 16809, 37120, 18462, 23503, 17655, 17446, 16396, 18489, 38331, 16397, 16711, 17679, 16673, 19134, 21876, 25749, 16958, 21766, 16395, 38287, 16721, 18101, 16462, 16419, 16674, 18101, 16453, 16404, 16769, 37732, 16834, 20432, 16672, 33279, 17160, 19487, 16397, 20800, 43920, 16395, 16742, 17132, 16804, 17393, 19857, 25749, 16395, 16674, 17490, 34787, 35945, 16958, 17914, 16671, 37820, 16647, 20825, 16673, 17213, 24507, 16397, 16582, 16582, 18971, 16462, 16419, 16395, 18919, 16395, 16763, 29555, 16697, 16922, 20176, 16767, 58948, 38409, 34439, 17032, 18101, 16453, 16404, 16397, 34594, 17564, 16715, 25201, 22383, 17415, 18101, 16462, 16419, 16674, 18101, 16453, 16404, 16958, 21715, 16809, 17655, 16816, 23720, 16675, 34787, 35945, 16721, 17361, 34069, 16914, 37651, 16477, 16401, 16477, 16396, 48276, 16395, 16660, 26024, 16423, 16395, 16674, 16719, 22312, 16423, 16396, 48276, 35057, 16397, 16772, 16660, 26024, 16423, 35057, 16604, 16391, 36666, 26570, 16674, 21290, 16646, 17873, 16392, 16769, 20349, 51409, 17415, 16647, 17142, 24507, 16395, 25743, 16914, 37651, 16477, 16401, 16477, 16396, 16674, 16719, 22312, 16423, 16396, 48276, 23349, 16769, 16922, 31739, 24592, 16397, 48538, 18101, 16453, 16404, 16763, 52980, 16767, 59129, 38409, 23273, 20825, 16395, 16647, 29304, 16673, 16641, 37047, 16673, 17213, 34439, 16809, 16647, 16816, 23720, 16675, 34787, 35945, 19194, 18354, 19591, 16715, 41313, 23273, 29304, 16809, 16647, 37651, 16477, 16401, 16477, 16396, 48276, 16674, 16660, 26024, 16423, 16604, 16394, 16719, 22312, 16423, 16396, 48276, 23349, 16673, 18101, 16462, 16419, 16397, 16604, 16393, 18971, 16462, 16419, 16393, 16396, 21858, 20618, 16887, 54644, 16466, 16807, 16641, 26222, 21999, 20825, 16673, 16647, 17396, 24507, 20192, 16671, 20909, 16396, 18926, 16887, 54644, 16466, 16397, 23466, 16395, 17213, 17586, 17564, 16647, 18479, 16721, 18101, 16453, 16404, 16704, 39068, 20815, 16887, 54644, 36793, 16395, 25743, 18101, 16462, 16419, 35264, 16887, 54644, 38409, 16604, 16391, 16442, 16415, 54690, 16401, 16402, 16444, 16410, 16604, 16442, 16415, 54690, 16401, 16403, 16444, 16392, 16397, 16582, 16582, 32271, 16582, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16582, 16582, 18971, 16462, 16419, 16674, 18101, 16453, 16404, 39224, 54260, 25725, 24507, 16672, 19134, 19527, 16582, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16582, 16582, 18313, 64151, 16647, 19056, 18234, 16673, 23968, 16396, 16674, 19532, 16396, 53726, 16809, 16647, 20618, 16887, 31018, 20671, 16604, 16391, 16442, 16415, 54690, 16404, 16444, 16410, 16604, 16442, 16415, 54690, 16401, 16408, 16444, 16410, 16604, 16442, 16415, 54690, 16402, 16403, 16444, 16410, 16604, 16442, 16415, 54690, 16400, 16400, 16444, 16392, 16395, 16742, 30006, 16950, 28089, 20639, 16396, 21858, 16604, 16393, 18971, 16462, 16419, 16393, 25296, 16393, 16398, 16393, 25296, 16410, 16393, 18971, 16453, 16404, 16393, 25296, 16393, 16398, 16393, 25296, 16604, 16391, 16451, 19295, 46173, 16392, 60463, 51548, 55943, 20329, 16734, 18236, 30841, 20823, 34312, 18101, 16462, 16419, 16785, 18101, 16453, 16404, 16785, 16734, 23073, 18123, 18236, 30841, 20823, 16397, 18419, 16811, 19474, 16395, 16742, 16958, 17914, 16671, 20114, 16944, 24507, 16958, 18545, 25749, 16673, 18101, 16462, 16419, 16674, 18101, 16453, 16404, 26041, 17310, 16721, 17120, 16703, 41236, 33910, 16809, 16917, 16785, 16647, 16977, 20618, 34787, 16421, 16397, 18708, 24507, 17120, 16703, 20206, 33331, 16809, 18101, 16462, 16419, 16785, 18101, 16453, 16404, 16785, 17120, 16703, 41018, 33331, 17181, 16667, 33656, 37732, 21348, 16410, 16742, 19570, 17490, 21494, 16671, 16703, 41573, 25749, 16673, 16647, 20618, 34787, 35945, 16397, 16582, 16582, 62429, 17135, 24493, 16673, 16647, 16670, 19295, 46173, 18821, 19487, 16734, 18236, 30841, 20823, 16395, 19508, 16396, 47725, 16661, 19487, 16958, 49430, 16809, 16773, 54284, 18138, 16709, 16796, 25622, 43257, 23078, 16815, 16647, 16660, 16675, 16771, 20364, 18236, 30841, 23753, 29703, 16604, 16391, 16442, 24001, 16397, 16604, 16400, 16395, 16711, 16674, 16738, 16444, 16391, 16386, 19327, 16400, 16392, 16474, 18452, 16396, 18926, 16412, 16385, 19327, 16385, 16476, 16392, 16397, 16739, 29687, 16673, 16604, 16443, 16413, 16400, 16399, 16445, 16405, 16445, 19487, 16958, 17177, 48216, 16715, 18804, 31364, 17135, 16641, 18613, 16604, 16401, 16403, 16678, 16673, 19995, 16672, 17362, 33651, 19134, 19527, 16397, 36199, 18896, 29659, 34475, 50167, 23540, 16815, 26987, 16396, 16396, 34769, 16938, 21825, 31364, 23375, 16958, 28448, 17521, 16671, 48227, 16396, 16436, 16406, 16403, 29220, 16401, 27890, 16418, 29082, 16395, 17492, 23858, 50167, 17499, 23809, 16767, 38508, 16504, 16405, 16395, 16399, 16399, 16399, 24507, 16674, 16667, 19642, 38508, 16504, 16405, 16395, 16399, 16399, 16399, 35986, 16466, 16397, 49752, 16673, 18101, 16462, 16419, 16785, 18101, 16453, 16404, 41678, 16734, 18123, 41678, 21047, 22886, 26284, 16721, 16958, 19570, 16671, 21005, 24507, 24127, 33910, 16809, 18101, 16462, 16419, 16785, 18101, 16453, 16404, 17560, 19134, 21876, 16604, 16391, 16442, 22224, 16687, 16444, 16391, 16386, 16467, 19295, 16400, 16392, 16474, 18452, 16396, 18926, 16412, 16385, 22246, 16385, 16476, 16674, 23984, 16702, 16400, 16395, 18125, 16767, 16604, 16411, 19020, 16409, 16398, 16398, 18409, 16397, 16457, 31467, 16397, 18431, 16398, 16450, 24120, 16398, 23058, 16398, 28489, 16398, 16457, 31467, 16397, 16401, 16399, 16399, 16404, 16399, 16401, 16400, 16399, 16400, 16398, 27197, 16400, 16413, 16392, 16397, 16582, 16582, 16384, 16442, 16393, 16393, 60155, 16725, 16673, 31364, 16715, 27890, 61428, 19335, 16397, 16393, 16393, 16604, 16391, 16416, 16392, 36920, 16773, 54284, 37359, 16673, 16604, 16393, 18971, 16462, 16419, 16393, 25296, 16393, 16398, 16393, 25296, 16393, 16410, 18971, 16453, 16404, 16393, 25296, 16393, 16398, 16393, 25296, 51548, 19295, 25355, 30006, 16734, 18236, 30841, 20823, 34312, 18101, 16462, 16419, 16395, 18101, 16453, 16404, 16395, 16785, 17028, 23273, 16741, 17204, 16741, 16796, 25622, 16815, 16667, 22207, 28675, 49906, 21314, 18758, 16604 ]
[ 0, 38194, 16604, 16474, 16386, 16466, 16400, 16476, 16582, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16582, 16582, 16853, 47099, 46044, 23091, 16704, 16641, 20927, 17717, 16658, 18758, 16715, 40598, 16673, 20502, 16675, 50401, 16397, 16604, 16393, 16435, 18289, 50586, 17847, 16695, 17253, 19904, 16393, 16395, 16641, 50452, 37513, 24567, 16657, 56114, 16395, 16704, 16641, 23490, 18185, 16673, 17274, 16641, 54624, 16397, 58054, 17229, 16769, 30006, 16734, 16604, 16393, 16435, 16397, 16695, 17253, 19904, 16393, 24203, 16809, 16647, 22268, 22136, 16673, 24588, 40961, 16466, 16815, 17131, 17435, 22276, 24309, 16785, 16653, 17139, 54748, 16794, 17095, 17749, 16672, 16647, 17061, 17089, 16673, 16662, 22981, 16395, 16944, 16769, 16647, 24654, 37299, 28825, 16397, 33269, 24493, 16395, 16647, 56114, 50395, 16641, 38258, 16921, 16400, 26709, 19208, 16721, 16704, 29781, 16809, 17362, 19415, 16673, 27021, 16396, 16400, 16401, 16674, 59099, 16396, 27381, 16604, 16442, 16415, 16780, 16649, 16397, 16400, 16399, 16399, 16402, 16406, 16399, 16405, 16396, 32869, 32228, 16400, 16444, 16395, 16604, 16442, 16415, 16780, 16649, 16397, 16400, 16399, 16399, 16402, 16406, 16399, 16405, 16396, 60404, 17215, 16400, 16444, 16397, 34794, 27021, 16396, 16400, 16401, 19378, 16704, 23971, 16647, 17539, 16673, 18101, 16419, 16407, 16407, 16396, 32435, 62478, 16396, 19064, 32174, 16604, 16391, 30468, 16433, 16392, 32995, 16672, 57593, 56794, 19487, 16395, 16674, 16647, 56114, 17761, 59833, 38636, 16872, 16992, 21766, 16741, 16641, 54848, 16715, 16700, 34028, 16400, 16400, 16674, 16700, 34028, 16400, 16401, 16604, 16442, 16415, 16780, 16649, 16397, 16400, 16399, 16399, 16402, 16406, 16399, 16405, 16396, 20372, 33730, 16400, 16444, 16396, 16396, 16442, 16415, 16780, 16649, 16397, 16400, 16399, 16399, 16402, 16406, 16399, 16405, 16396, 16434, 18436, 33165, 16962, 26649, 16400, 16444, 16397, 27021, 16396, 16400, 16401, 63345, 19588, 29476, 16604, 16391, 51707, 16392, 19487, 16671, 40818, 59099, 16396, 27381, 19378, 16674, 35264, 16700, 16396, 18933, 38409, 19863, 16641, 16921, 16400, 17632, 16397, 45669, 59099, 16396, 27381, 16704, 16647, 20927, 64248, 19423, 16672, 29737, 16604, 16393, 16435, 18289, 50586, 17847, 16393, 16397, 19814, 16604, 16393, 16642, 36523, 16393, 25717, 18510, 16721, 53318, 33331, 16809, 16811, 64248, 29799, 20381, 16396, 16393, 16435, 18289, 50586, 17847, 16393, 19962, 17181, 16903, 40309, 16673, 37415, 16396, 21670, 16796, 25353, 16954, 16604, 16391, 20678, 16422, 16392, 31184, 16721, 17425, 28159, 27673, 16673, 16647, 33886, 16654, 18737, 27070, 19774, 16468, 17877, 16604, 16442, 16415, 16780, 16649, 16397, 16400, 16399, 16399, 16402, 16406, 16399, 16405, 16396, 16441, 49349, 16400, 16444, 16396, 16396, 16442, 16415, 16780, 16649, 16397, 16400, 16399, 16399, 16402, 16406, 16399, 16405, 16396, 16426, 19058, 16642, 17499, 16400, 16444, 16395, 16647, 16604, 16393, 16642, 37154, 16393, 17917, 16673, 59099, 16396, 27381, 16704, 17827, 18271, 16397, 16582, 16582, 59025, 21148, 19019, 17334, 34784, 16769, 16667, 17889, 22825, 16673, 21859, 17647, 48953, 50401, 16395, 17789, 16604, 16393, 16435, 18289, 50586, 17847, 16393, 16604, 16442, 16415, 16780, 16649, 16397, 16400, 16399, 16399, 16402, 16406, 16399, 16405, 16396, 50724, 16708, 16400, 16444, 16397, 18708, 19487, 21398, 17362, 19415, 16673, 26672, 16405, 16418, 16398, 16422, 16604, 16391, 20112, 16396, 16400, 16392, 16674, 16769, 39812, 16815, 16647, 25584, 49342, 19565, 20561, 16847, 16856, 16604, 16391, 16418, 16396, 16418, 52176, 16392, 32174, 16604, 16401, 16604, 16391, 19573, 16433, 16401, 16392, 16604, 16442, 16415, 16780, 16649, 16397, 16400, 16399, 16399, 16402, 16406, 16399, 16405, 16396, 23403, 17110, 23474, 16400, 16444, 16397, 22191, 16604, 16393, 16427, 17988, 16915, 17334, 56027, 21886, 16659, 16393, 24493, 16395, 36612, 17334, 34784, 16769, 39812, 16815, 16647, 25584, 49342, 16671, 16647, 17020, 33745, 16674, 28037, 17187, 16873, 44415, 17065, 53903, 16396, 19766, 16396, 16674, 27617, 17404, 36007, 16604, 16391, 27528, 16392, 16396, 56090, 23675, 16466, 16604, 16391, 45744, 16396, 27197, 16466, 16392, 16397, 17664, 16873, 16769, 22009, 16715, 36011, 38759, 16674, 27029, 25341, 16604, 16442, 16415, 16780, 16649, 16397, 16400, 16399, 16399, 16402, 16406, 16399, 16405, 16396, 18564, 16456, 16400, 16444, 16395, 16604, 16442, 16415, 16780, 16649, 16397, 16400, 16399, 16399, 16402, 16406, 16399, 16405, 16396, 22112, 16449, 17713, 16400, 16444, 16397, 44312, 16395, 16719, 23965, 16401, 16396, 32435, 36612, 17334, 34784, 16769, 39812, 16671, 16647, 28568, 17560, 16604, 16393, 18971, 54446, 26792, 52408, 16393, 24493, 17187, 16873, 19238, 25878, 16815, 20062, 16809, 35720, 16674, 58948, 16700, 19487, 16674, 16809, 25695, 25922, 16604, 16442, 16415, 16780, 16649, 16397, 16400, 16399, 16399, 16402, 16406, 16399, 16405, 16396, 16431, 20221, 16400, 16444, 16395, 16604, 16442, 16415, 16780, 16649, 16397, 16400, 16399, 16399, 16402, 16406, 16399, 16405, 16396, 16431, 20221, 16401, 16444, 16397, 16727, 17495, 63044, 21859, 17647, 16604, 16393, 16435, 16397, 16695, 17253, 19904, 16393, 16872, 17027, 19193, 16992, 19628, 16671, 18616, 16719, 23965, 16401, 16396, 32435, 36612, 17334, 34784, 16604, 16442, 16415, 16780, 16649, 16397, 16400, 16399, 16399, 16402, 16406, 16399, 16405, 16396, 50724, 16708, 16400, 16444, 16397, 33269, 33976, 16671, 16647, 17785, 59718, 16395, 17213, 19487, 18123, 16647, 56114, 18422, 41018, 16809, 19378, 16673, 27021, 16396, 16400, 16401, 16674, 53903, 16396, 19766, 16785, 20206, 17181, 19378, 16673, 25922, 16674, 30784, 16422, 26513, 16604, 16442, 16415, 16780, 16649, 16397, 16400, 16399, 16399, 16402, 16406, 16399, 16405, 16396, 16440, 16668, 17063, 42684, 16400, 16444, 16396, 16396, 16442, 16415, 16780, 16649, 16397, 16400, 16399, 16399, 16402, 16406, 16399, 16405, 16396, 18111, 39434, 16400, 16444, 16395, 16604, 16442, 16415, 16780, 16649, 16397, 16400, 16399, 16399, 16402, 16406, 16399, 16405, 16396, 16441, 49349, 16400, 16444, 16395, 16604, 16442, 16415, 16780, 16649, 16397, 16400, 16399, 16399, 16402, 16406, 16399, 16405, 16396, 47785, 16400, 16444, 16395, 16604, 16442, 16415, 16780, 16649, 16397, 16400, 16399, 16399, 16402, 16406, 16399, 16405, 16396, 50724, 16708, 16400, 16444, 16395, 16604, 16442, 16415, 16780, 16649, 16397, 16400, 16399, 16399, 16402, 16406, 16399, 16405, 16396, 16427, 16661, 16400, 16444, 16397, 19814, 16719, 23965, 16401, 28434, 33976, 16673, 36612, 17334, 34784, 16671, 21186, 16673, 24493, 16395, 16647, 20671, 16721, 34446, 16914, 29304, 16674, 26764, 16673, 17717, 16658, 17917, 16769, 16804, 18365, 16397, 16582, 16582, 16418, 16439, 23965, 16402, 16704, 16641, 16921, 16400, 16396, 41792, 20561, 16847, 16856, 32174, 16395, 16674, 19487, 34312, 16811, 32174, 20023, 16671, 16647, 59099, 16396, 27381, 16396, 25812, 41824, 20561, 16847, 17462, 50862, 22695, 16408, 16395, 16604, 16400, 16399, 16395, 16674, 16604, 16400, 16400, 16604, 16442, 16415, 16780, 16649, 16397, 16400, 16399, 16399, 16402, 16406, 16399, 16405, 16396, 16422, 19167, 16400, 16444, 16397, 16772, 32174, 16704, 23078, 40286, 16809, 16700, 19487, 16674, 49177, 19487, 16674, 16704, 26079, 16903, 38011, 19028, 18155, 29304, 16397, 17664, 16704, 19591, 16721, 50862, 23965, 16402, 20825, 28434, 16700, 16396, 18933, 21314, 17065, 21186, 16673, 24493, 16395, 20290, 16647, 24637, 16673, 33976, 35177, 18493, 50401, 16397, 16875, 16647, 17843, 16673, 16604, 16393, 19375, 17054, 44034, 18166, 16393, 16395, 33976, 16704, 31769, 16741, 50862, 23965, 16402, 16396, 47725, 16661, 16700, 19487, 16769, 19062, 16715, 16647, 23544, 16673, 18668, 28464, 40728, 16604, 16442, 16415, 16780, 16649, 16397, 16400, 16399, 16399, 16402, 16406, 16399, 16405, 16396, 45706, 16676, 16400, 16444, 16397, 18523, 16395, 16672, 16647, 17843, 16673, 16604, 16393, 19733, 16676, 18852, 17997, 16660, 23211, 16643, 16456, 16393, 28744, 41348, 16395, 50862, 23965, 16402, 16704, 19007, 31018, 17172, 16728, 20634, 21314, 16673, 16764, 42436, 19487, 17065, 16647, 65179, 16395, 23526, 16672, 45254, 44253, 16604, 16442, 16415, 16780, 16649, 16397, 16400, 16399, 16399, 16402, 16406, 16399, 16405, 16396, 35459, 16657, 27115, 16400, 16444, 16397, 16582, 16582, 21055, 16742, 21487, 16647, 18814, 16673, 50862, 23965, 16402, 16672, 16647, 47099, 26709, 19208, 16671, 16604, 16393, 16435, 18289, 50586, 17847, 16393, 16397, 17119, 17494, 16721, 19260, 16673, 50862, 23965, 16402, 38637, 22499, 19037, 25341, 17647, 27835, 24493, 16397, 17170, 16763, 19970, 16734, 46372, 33976, 16673, 21305, 16403, 16445, 16394, 16445, 16700, 19487, 16671, 16647, 39732, 17713, 18840, 20791, 16604, 16391, 28899, 16392, 16395, 27364, 16700, 18155, 59099, 16396, 27381, 52314, 16395, 39859, 36612, 17334, 43283, 17717, 16658, 17917, 16395, 16674, 36288, 16671, 18123, 16647, 56114, 16672, 16647, 47099, 46044, 23091, 16397, 52429, 24162, 16734, 50862, 23965, 16402, 16396, 20036, 16688, 16682, 21305, 16403, 16445, 16394, 16445, 16700, 19487, 32600, 36612, 17334, 43283, 17917, 16395, 23526, 16672, 22818, 25341, 17647, 16647, 56114, 16397, 37718, 16802, 19938, 16673, 28404, 18444, 28015, 21305, 16403, 16445, 16394, 16445, 16700, 31136, 34784, 56138, 19028, 16914, 19629, 16671, 21182, 59099, 16396, 27381, 16395, 16850, 23619, 31525, 16673, 21305, 16403, 20825, 16673, 21305, 16403, 16399, 16427, 16397, 19736, 17586, 17299, 16721, 50862, 23965, 16402, 28434, 16921, 16400, 33976, 16671, 16647, 47099, 32171, 16395, 17187, 17213, 19487, 25407, 29304, 16673, 16719, 23965, 16401, 16396, 32435, 36612, 17334, 34784, 16395, 16672, 17762, 29737, 24493, 16397, 18708, 18466, 21177, 50862, 23965, 16402, 16741, 16641, 18166, 37145, 16795, 45485, 17160, 21318, 17415, 17717, 17035, 16673, 48191, 16674, 40769, 37415, 16395, 31771, 20176, 19037, 21859, 17647, 24493, 16397, 16582, 16582, 32271, 16604, 16474, 16386, 16466, 16401, 16476, 16582, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16582, 16582, 16418, 16439, 23965, 16402, 16674, 17073, 32247, 18376, 50862, 22695, 16408, 16674, 50862, 22695, 16400, 16399, 16769, 16903, 38011, 17560, 29243, 39713, 50586, 16460, 20650, 16604, 16474, 16386, 16466, 16401, 16448, 16476, 16582, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16582, 16582, 25226, 50862, 23965, 16402, 16674, 17073, 20561, 16847, 16856, 32247, 18376, 16769, 24906, 19970, 16734, 16921, 16400, 24739, 16395, 16742, 18666, 18515, 16811, 16764, 42436, 29722, 16763, 29983, 17560, 16604, 16393, 16435, 18289, 50586, 17847, 16393, 24493, 16672, 16647, 47099, 46044, 23091, 16397, 40156, 16395, 25878, 16958, 16785, 16834, 53362, 21111, 16734, 40961, 16466, 16395, 16674, 20192, 19415, 16673, 50862, 23965, 16402, 16395, 50862, 22695, 16408, 16674, 50862, 22695, 16400, 16399, 39438, 20825, 16958, 23975, 17030, 16647, 18067, 16673, 29243, 24493, 16397, 17119, 17494, 18354, 16903, 40309, 16673, 50862, 23965, 16402, 16674, 17073, 18462, 20561, 16847, 16856, 32247, 18376, 16741, 18334, 16741, 19581, 16604, 16403, 17498, 16396, 16642, 22302, 16672, 17490, 16647, 57010, 16768, 16674, 25240, 23857, 16675, 31136, 28988, 16604, 16391, 22274, 16429, 16392, 16604, 16391, 16442, 24001, 16397, 16604, 16400, 16416, 16444, 16391, 16386, 16780, 16649, 16396, 16400, 16399, 16399, 16402, 16406, 16399, 16405, 16396, 16454, 16399, 16399, 16400, 16392, 16474, 18452, 16396, 18926, 16412, 16385, 19327, 16385, 16476, 16392, 16397, 34689, 16395, 25442, 50862, 23965, 16402, 39438, 19415, 16958, 47551, 16809, 19581, 16604, 16405, 17498, 16396, 16642, 17139, 18093, 16397, 16582, 16582, 16384, 16442, 16418, 16439, 23965, 16402, 16674, 17073, 32247, 18376, 16769, 16903, 38011, 18211, 16604, 16393, 16435, 16397, 16695, 17253, 19904, 16393, 24493, 16397, 16443, 16582, 16391, 16416, 16392, 50862, 23965, 16402, 16395, 50862, 22695, 16408, 16395, 16674, 50862, 22695, 16400, 16399, 23273, 20825, 16763, 29998, 16809, 26311, 16396, 44409, 26028, 17446, 17005, 38331, 16672, 25240, 23857, 16675, 31136, 28988, 16604, 16391, 22274, 16429, 16392, 16674, 17785, 47099, 24588, 16815, 44758, 25878, 17560, 27835, 16604, 16393, 16435, 16397, 16695, 17253, 19904, 16393, 24493, 16397, 16772, 18466, 16769, 23078, 16741, 26893, 17928, 20192, 16671, 32113, 16815, 17975, 54993, 21617, 16604, 16391, 16461, 34225, 16412, 34225, 16403, 25878, 16972, 17005, 17411, 16392, 16397, 16604, 16391, 16417, 16392, 50862, 23965, 16402, 22036, 20825, 16763, 56298, 17655, 19924, 40479, 26543, 16809, 30742, 16796, 25622, 19415, 17329, 16604, 16391, 23786, 54993, 16395, 51612, 16392, 16674, 16604, 16400, 16400, 17897, 17135, 27835, 24493, 16604, 16391, 17681, 16421, 16392, 16673, 16719, 24676, 17528, 25878, 16397, 16796, 25622, 19415, 16958, 29998, 18493, 21305, 16403, 16445, 16394, 16445, 16674, 21305, 16407, 16445, 16394, 16445, 16700, 16396, 18933, 60139, 16815, 29625, 16429, 16395, 17020, 33745, 16604, 16391, 20961, 16427, 16392, 16395, 16674, 17785, 47099, 39732, 17713, 18840, 20791, 16397, 51612, 16395, 17975, 54993, 16410, 20325, 16421, 16395, 30006, 16397, 16444, 16391, 16780, 16649, 16397, 16400, 16399, 16399, 16402, 16406, 16399, 16405, 16397, 16454, 16399, 16399, 16400, 16392, 16474, 16386, 16780, 16649, 16396, 16400, 16399, 16399, 16402, 16406, 16399, 16405, 16396, 16454, 16399, 16399, 16400, 16476, 16582, 16582, 17071, 17970, 16671, 27768, 50862, 23965, 16402, 20825, 16672, 16922, 18686, 16395, 16742, 33566, 16604, 16393, 16418, 16471, 25907, 16402, 16393, 16693, 64401, 29477, 16604, 16391, 16418, 24676, 17528, 16392, 25878, 16395, 16641, 16660, 16675, 16771, 20364, 29477, 28460, 16672, 16944, 19487, 34312, 50862, 23965, 16402, 17027, 21398, 16693, 64401, 16604, 16442, 16415, 16780, 16649, 16397, 16400, 16399, 16399, 16402, 16406, 16399, 16405, 16396, 16430, 28535, 16768, 16468, 16400, 16444, 16397, 17119, 17494, 16641 ]
[ 0, 16582, 16582, 16437, 24902, 19093, 22927, 21256, 60073, 16424, 30766, 16582, 16582, 16582, 16582, 22482, 17276, 16582, 16582, 16582, 16582, 16582, 16582, 16582, 16582, 19315, 17977, 16880, 16582, 16582, 16582, 16582, 16582, 16582, 16582, 16582, 16421, 17011, 17283, 16582, 16582, 16582, 16582, 21970, 16769, 16647, 22372, 16673, 56341, 16395, 16715, 17624, 18462, 16671, 43105, 17076, 16656, 42071, 16452, 16395, 21507, 17348, 16397, 16582, 16582, 28755, 17356, 16872, 16667, 19550, 16674, 24366, 42878, 23487, 16397, 18419, 17030, 16604, 16403, 16395, 16399, 16399, 16399, 57989, 22372, 16395, 16991, 16604, 16401, 16404, 16399, 20969, 16673, 16785, 16717, 18145, 16395, 16674, 16604, 16406, 16399, 16399, 16785, 16859, 17476, 22766, 16395, 56341, 16704, 16667, 23338, 18034, 16715, 18777, 20309, 16672, 16647, 31338, 24687, 16397, 16582, 16582, 16582, 16582, 18105, 21983, 16811, 35453, 16704, 16994, 16641, 22840, 32696, 16673, 17038, 18070, 42878, 16397, 19214, 16673, 16647, 20969, 20101, 16769, 17310, 16944, 16742, 16769, 22445, 16734, 16395, 16850, 17123, 16804, 17134, 17441, 18143, 16397, 19214, 16769, 22372, 16721, 16742, 23976, 17134, 16409, 47203, 16709, 16647, 17210, 16671, 20758, 16460, 16754, 16657, 16815, 56341, 18660, 16410, 22232, 17181, 16772, 56341, 40785, 16410, 22372, 16721, 16742, 17134, 16672, 24885, 32399, 16674, 33042, 19147, 16397, 16582, 16582, 16582, 16582, 19132, 16811, 44613, 16395, 16728, 16868, 16703, 18230, 16671, 18212, 19550, 23528, 16931, 16647, 42878, 17494, 16672, 56341, 16395, 16815, 16711, 16671, 17565, 16397, 17170, 19461, 16868, 17188, 20467, 16671, 16998, 17624, 21233, 16734, 18208, 16931, 16647, 42878, 17494, 16672, 17038, 18034, 16397, 16582, 16582, 16582, 16582, 18264, 20845, 16395, 16728, 16868, 16703, 23757, 16922, 17174, 16671, 16395, 16804, 16994, 17411, 16891, 16667, 17958, 17977, 16880, 21703, 16395, 16850, 16734, 16647, 17261, 16673, 16647, 17624, 17494, 17348, 16395, 16703, 17914, 16671, 17921, 17047, 16721, 16647, 23648, 46500, 18266, 17153, 18110, 17801, 17047, 16734, 17958, 17977, 16880, 16410, 16604, 16391, 44167, 16929, 16958, 18939, 16672, 56735, 16392, 16397, 16582, 16582, 16582, 16582, 20965, 56341, 16657, 42878, 16704, 16667, 23338, 20583, 16673, 16811, 18034, 16390, 16466, 19588, 18496, 16397, 22689, 17174, 19470, 16922, 16931, 16647, 22372, 17494, 19796, 56341, 16397, 17294, 20057, 16395, 18208, 16868, 18615, 21764, 16931, 17038, 22372, 16397, 16772, 22372, 22682, 16709, 16647, 18211, 22177, 16395, 17154, 20514, 16395, 17261, 16671, 17190, 56341, 16647, 18321, 17617, 16721, 16728, 16704, 16397, 16582, 16582, 16582, 16582, 16416, 16582, 16582, 16582, 16582, 23379, 18759, 18013, 20628, 16395, 17958, 16707, 21237, 39638, 16808, 19136, 16395, 21337, 20523, 58390, 18513, 26911, 16420, 16582, 16582, 16582, 16582, 16396, 17664, 16769, 17142, 21497, 16673, 16811, 20282, 16397, 16711, 18122, 16395, 32605, 21135, 16472, 33704, 16785, 16641, 27359, 16910, 16397, 16582, 16582, 16582, 16582, 16396, 16999, 16704, 18143, 48926, 16741, 16667, 40007, 40283, 17172, 16673, 16728, 16390, 16466, 23709, 16397, 22344, 16472, 16395, 22906, 25197, 26715, 16674, 38588, 16395, 20554, 22485, 16397, 16582, 16582, 16582, 16582, 16396, 16772, 18114, 19686, 19164, 16471, 16604, 16391, 16466, 16904, 16392, 16728, 28549, 17123, 19225, 24202, 16674, 48348, 16672, 25628, 17047, 16397, 36431, 33174, 17123, 19225, 49833, 16397, 16582, 16582, 16582, 16582, 16396, 26974, 33174, 16395, 16944, 17123, 16703, 22268, 27840, 16815, 55789, 16709, 16641, 29631, 16785, 16685, 26496, 16647, 27100, 16395, 17208, 16804, 19225, 24202, 16397, 16582, 16582, 16582, 16582, 16396, 16772, 60956, 17027, 39651, 16811, 20282, 16815, 33038, 39094, 20302, 16647, 16604, 16385, 16453, 20197, 16919, 22050, 34300, 60063, 16385, 16395, 16944, 16843, 34708, 16734, 16647, 51462, 16672, 16647, 22485, 16397, 16582, 16582, 16582, 16582, 23379, 20961, 26964, 16395, 16739, 18769, 16448, 16670, 17236, 19136, 16395, 32639, 31729, 18513, 26911, 16420, 16582, 16582, 16582, 16582, 16396, 17170, 24305, 16396, 18178, 20923, 20969, 16704, 17494, 19796, 21792, 18924, 16674, 16647, 32140, 31161, 16397, 16582, 16582, 16582, 16582, 16396, 16772, 34515, 24437, 16673, 16811, 22767, 16396, 27940, 21703, 18199, 16903, 16811, 17394, 33036, 49521, 16397, 43649, 16704, 16647, 17394, 16390, 16466, 20770, 17390, 21669, 16673, 17958, 17977, 16880, 16397, 16582, 16582, 16582, 16582, 16396, 16772, 34515, 24437, 16704, 19453, 16395, 16674, 17405, 16741, 16641, 28576, 19365, 16674, 63919, 22688, 16672, 30254, 55397, 16674, 56162, 19059, 16395, 16741, 17204, 16741, 16641, 45333, 18082, 18769, 16397, 16582, 16582, 16582, 16582, 16396, 28327, 16395, 62958, 16815, 16647, 24437, 16674, 22485, 16395, 16704, 17405, 16604, 16391, 43807, 16734, 16647, 19453, 24437, 16392, 16395, 16672, 24309, 16674, 24437, 16396, 19338, 19059, 16395, 16741, 17204, 16741, 16655, 17207, 18929, 16397, 16582, 16582, 16582, 16582, 16396, 16772, 23648, 46500, 17405, 17958, 17977, 16880, 16671, 17153, 18110, 16460, 17310, 16929, 16958, 18939, 16672, 17362, 56735, 16397, 16582, 16582, 16582, 16582, 16396, 16999, 17027, 16872, 16992, 17405, 16741, 20839, 24139, 16397, 61972, 16641, 25251, 16673, 16647, 54500, 22485, 16843, 17261, 16667, 26244, 28025, 16395, 16674, 21033, 32807, 16809, 24500, 19138, 50845, 16397, 16582, 16582, 16582, 16582, 40610, 31850, 16395, 16738, 17307, 16448, 16653, 27479, 18599, 16395, 16738, 28592, 18513, 26911, 16420, 16582, 16582, 16582, 16582, 16396, 17170, 28666, 57989, 27359, 16910, 16704, 35283, 16715, 16647, 18901, 16398, 55756, 43415, 16721, 18526, 16815, 16728, 16390, 16466, 34515, 29556, 16397, 16582, 16582, 16582, 16582, 16396, 16772, 29556, 16769, 17405, 16672, 27202, 16671, 20241, 18308, 17274, 16741, 28582, 16395, 18050, 20766, 16856, 16395, 33522, 16395, 16674, 16958, 17405, 16809, 16647, 31221, 16466, 16674, 21792, 18154, 30873, 16715, 18370, 23012, 16674, 30789, 20529, 16683, 16682, 16397, 16582, 16582, 16582, 16582, 16396, 17008, 17311, 16721, 20013, 17021, 16647, 16864, 16694, 16668, 16767, 16647, 29631, 19300, 16674, 16709, 16647, 17736, 27100, 17261, 16671, 19238, 16647, 20282, 16815, 33038, 30467, 16397, 16582, 16582, 16582, 16582, 16396, 32694, 24935, 16395, 17969, 16672, 16944, 18198, 22485, 16807, 16992, 40129, 16674, 17177, 54453, 16395, 16763, 18711, 16715, 49433, 16674, 28552, 16682, 17850, 16397, 16582, 16582, 16582, 16582, 16396, 38201, 16672, 23295, 17521, 25276, 16741, 16641, 18308, 54127, 25337, 16715, 18901, 43415, 16604, 16386, 16401, 16395, 16944, 16763, 21487, 16671, 16703, 16641, 37106, 31018, 16397, 16582, 16582, 16582, 16582, 16416, 27171, 63705, 37659, 16739, 26239, 16395, 26193, 16713, 17713, 17020, 16397, 49693, 16436, 18016, 17681, 18513, 26911, 16420, 16582, 16582, 16582, 16582, 16396, 17170, 16704, 16804, 16641, 18159, 36939, 21703, 16395, 16647, 16604, 16385, 39726, 17189, 16385, 16769, 17324, 49742, 16395, 22275, 16665, 30127, 16397, 16772, 22485, 16769, 24476, 16395, 24440, 26102, 19028, 17492, 22275, 16397, 16582, 16582, 16582, 16582, 16396, 17513, 16769, 23389, 16671, 16647, 18034, 16815, 16944, 16914, 17830, 16704, 26552, 16397, 16582, 16582, 16582, 16582, 16396, 18708, 16396, 23124, 16396, 41919, 22766, 16769, 18143, 35283, 16741, 61217, 17229, 16397, 16582, 16582, 16582, 16582, 16396, 17664, 16769, 17142, 20969, 16944, 16769, 17238, 17476, 16672, 23419, 16395, 16647, 16719, 16397, 18043, 31178, 16448, 20969, 16704, 19851, 20554, 16674, 32871, 16734, 32761, 16673, 17301, 49947, 16395, 17437, 16719, 16397, 17867, 16656, 16688, 16736, 36298, 16704, 16641, 16922, 17671, 21703, 16734, 20636, 19064, 49947, 16397, 16582, 16582, 16582, 16582, 16396, 16999, 21438, 16721, 16986, 16769, 17028, 21379, 22766, 16715, 16647, 16719, 16397, 18043, 31178, 16448, 20969, 16672, 56341, 16395, 16741, 17028, 25541, 58716, 16769, 17255, 21047, 16395, 20781, 17047, 19016, 16903, 16647, 30722, 16756, 16671, 20282, 17213, 22766, 16397, 16582, 16582, 16582, 16582, 16396, 16719, 16397, 17867, 16656, 16688, 16736, 36298, 16872, 17490, 21966, 16674, 21379, 26715, 16709, 16647, 17396, 21703, 16397, 16582, 16582, 16582, 16582, 16396, 16772, 23128, 39549, 37613, 19732, 54656, 19953, 60315, 16410, 20821, 16728, 49817, 37805, 16604, 16391, 16385, 16466, 16904, 16385, 16392, 16397, 16582, 16582, 16582, 16582, 16417, 16582, 16582, 16582, 16582, 16417, 20709, 16430, 17759, 41058, 16395, 36129, 16934, 16915, 16670, 17197, 16450, 29932, 16395, 52656, 18513, 26911, 16420, 16582, 16582, 16582, 16582, 16396, 17170, 22767, 16396, 20658, 21703, 16704, 17494, 28638, 16672, 33756, 16815, 21631, 22729, 16671, 16799, 16400, 45038, 16397, 16582, 16582, 16582, 16582, 16396, 16999, 16704, 35283, 16672, 33068, 16741, 17963, 21631, 16741, 34466, 45255, 17172, 16673, 16647, 22389, 16395, 25197, 24437, 16728, 32905, 16604, 16391, 27707, 16396, 21804, 16392, 16395, 16674, 16704, 16641, 20476, 16673, 17968, 16397, 16582, 16582, 16582, 16582, 16396, 16772, 24437, 21998, 16994, 16917, 25541, 16397, 16999, 16704, 18122, 16674, 20636, 16472, 16397, 16582, 16582, 16582, 16582, 16417, 18759, 55491, 16395, 18569, 16705, 20902, 17020, 16397, 16395, 31894, 18513, 26911, 16420, 16582, 16582, 16582, 16582, 16396, 17170, 42591, 20969, 16395, 16641, 19154, 16673, 16647, 25370, 17797, 16395, 20954, 22748, 34448, 16721, 17123, 19947, 16672, 16641, 23047, 18443, 16671, 27372, 22766, 16397, 16582, 16582, 16582, 16582, 16396, 16999, 16704, 16641, 22355, 16396, 41919, 20282, 16395, 16944, 18467, 22460, 16673, 38664, 16674, 16843, 18143, 16703, 17494, 20299, 23175, 16697, 18184, 23482, 57288, 16397, 18483, 18467, 16641, 16669, 19747, 16820, 16671, 16969, 17181, 16728, 16395, 18839, 17719, 19134, 56245, 16395, 16944, 16872, 17020, 17462, 16604, 16396, 16830, 16436, 20260, 16384, 16582, 16582, 16582, 16582, 16396, 44115, 17274, 16741, 16664, 33723, 16395, 16989, 16923, 16936, 16674, 20775, 16705, 30674, 25642, 16672, 17213, 23175, 17499, 16715, 21747, 16815, 43682, 16397, 16582, 16582, 16582, 16582, 16396, 16738, 48121, 16704, 17914, 16671, 48407, 16647, 45763, 16673, 16647, 25364, 18217, 16395, 16674, 18040, 20954, 16671, 17564, 16647, 23482, 30412, 16604, 16391, 26331, 45604, 18123, 16392, 16397, 16582, 16582, 16582, 16582, 16417, 18013, 48665, 16395, 19162, 16448, 17263, 24276, 17180, 16395, 57551, 18513, 26911, 16420, 16582, 16582, 16582, 16582, 16396, 18708, 48926, 22766, 16769, 18143, 35283, 16709, 29223, 16396, 25844, 16737, 18241, 16604, 16391, 21624, 16448, 17020, 16397, 16392, 16686, 20891, 16671, 18288, 17203, 26566, 16725, 16674, 45229, 16672, 16647, 48013, 18217, 16397, 16582, 16582, 16582, 16582, 16396, 16999, 16390, 16466, 21374, 32272, 16769, 18229, 16672, 49328, 16395, 36786, 16674, 35981, 16395, 16850, 17362, 16672, 48020, 16674, 18712, 16397, 16582, 16582, 16582, 16582, 16396, 21123, 16728, 16704, 18994, 16671, 35645, 16395, 16728, 16704, 16647, 17097, 25424, 24437, 20095, 16715, 17047, 16734, 16989, 30566, 28081, 23322, 16395, 16674, 16704, 18143, 16641, 17092, 24437, 16715, 28534, 16397, 16582, 16582, 16582, 16582, 16396, 51368, 17097, 17204, 16396, 22534, 19690, 58802, 16715, 16604, 16401, 16403, 18626, 16843, 17261, 49433, 16397, 16582, 16582, 16582, 16582, 16396, 23561, 22485, 16843, 16703, 17405, 16741, 16641, 32513, 16674, 60305, 16715, 42343, 16397, 16582, 16582, 16582, 16582, 64745, 21271, 16832, 19785, 48718, 16395, 16739, 16943, 18380, 17080, 17997, 16918, 57355, 16768, 16395, 46183, 22598, 17681, 19445, 30035, 16582, 16582, 16582, 16582, 16396, 16772, 21135, 16673, 16811, 21703, 47927, 16721, 16673, 16647, 25273, 16905, 17249, 16395, 18919, 16395, 16728, 16704, 42228, 16674, 18366, 26375, 16672, 21034, 16397, 16582, 16582, 16582, 16582, 16396, 17544, 16811, 18188, 16395, 16741, 17204, 16741, 17073, 17362, 23759, 16671, 57286, 16674, 30789, 18736, 16395, 16728, 16704, 25105, 16715, 58998, 16395, 26643, 31332, 16395, 37117, 16833, 16843, 22422, 16395, 16674, 22408, 16397, 16582, 16582, 16582, 16582, 16396, 30243, 16834, 16395, 16728, 16872, 16992, 17405, 16715, 32412, 17136, 16397, 16582, 16582, 16582, 16582, 16396, 16772, 18901, 58716, 16728, 32905, 46797, 16641, 42997, 16390, 16466, 16651, 19301, 16397, 16582, 16582, 16582, 16582, 16417, 44235, 19093, 16700, 26285, 16396, 16435, 26285, 16395, 19390, 19345, 17248, 19587, 18438, 19904, 16395, 16739, 18189, 21423, 16420, 16582, 16582, 16582, 16582, 16396, 17170, 16704, 17028, 26874, 35895, 16395, 16728, 16872, 18040, 18711, 16647, 17510, 16673, 16641, 33704, 16944, 16843, 16703, 17494, 44027, 17073, 17210, 18568, 16647, 23047, 22766, 16397, 16582, 16582, 16582, 16582, 16396, 16999, 16704, 16917, 16673, 16647, 20770, 60855, 16672, 16647, 29188, 17220, 16397, 16999, 16843, 20378, 17030, 16604, 16400, 16395, 16399, 16399, 16399, 32291, 16397, 16582, 16582, 16582, 16582, 16396, 47041, 17020, 17462, 16804, 17097, 19492, 16647, 18734, 33704, 16395, 16850, 16647, 29223, 24189, 16395, 17441, 16384, 16582, 16582, 16582, 16582, 16396, 16772, 27123, 25153, 17020, 17462, 16843, 16703, 18761, 42880, 17160, 17014, 22232, 16672, 16647, 23047, 16395, 16741, 16873, 25153, 21396, 16732, 16395, 18040, 16811, 16704, 16647, 17210, 16873, 16769, 21996, 19796, 16647, 23047, 16809, 34296, 16641, 22540, 16709, 17047, 16674, 16398, 16658, 21617, 16397, 16582, 16582, 16582, 16582, 16396, 16772, 33704, 16604, 16391, 34174, 41366, 16392, 16395, 16843, 16703, 24105, 17065, 42640, 16715, 24035, 56766, 16397, 17673, 16390, 16466, 17818, 17073, 17830, 16704, 16604, 16385, 16417, 30438, 26947, 16396, 55815, 16385, 16397, 16582, 16582, 16582, 16582, 21271, 16440, 16719, 18525, 18016, 16395, 18569, 17317, 24165, 18923, 16400, 16460, 16736, 36298, 16395, 20596, 58397, 22998, 16424, 18513, 26911, 16420, 16582, 16582, 16582, 16582, 16396, 17170, 21703, 16395, 16944, 16704, 18143, 17494, 16672, 24745, 19134, 33756, 16395, 32905, 17785, 45025, 16795, 26715, 16721, 16769, 20554, 17054, 25197, 16397, 16582, 16582, 16582, 16582, 16396, 21656, 24437, 16704, 16641, 18308, 19419, 16715, 17259, 23047, 30467, 16395, 16741, 17204, 16741, 16715, 57654, 21617, 16397, 16582, 16582, 16582, 16582, 16396, 21656, 38254, 16872, 16992, 35466, 17405, 16741, 24139, 16397, 18483, 24380, 16673, 17969, 16672, 16944, 16647, 38254, 16872, 16992, 54500, 16395, 17208, 16703, 18711, 17567, 18032, 16641, 17386, 16715, 49433, 16674 ]
[ 0, 16400, 16397, 35453, 16604, 16474, 16386, 19810, 16400, 16476, 16582, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16582, 16582, 16853, 17889, 18961, 29247, 16672, 45198, 16443, 16390, 16466, 20062, 16604, 16391, 22203, 16392, 18147, 16872, 16992, 16647, 27353, 16673, 18295, 43877, 17225, 16674, 18813, 24507, 16734, 16914, 62944, 22072, 16397, 17470, 17495, 16856, 16396, 22837, 26903, 43441, 16604, 16401, 16604, 16391, 34028, 16433, 16426, 16401, 16392, 23273, 16872, 16992, 34372, 16925, 16815, 16977, 18365, 23942, 24507, 16734, 16641, 17679, 16673, 25201, 16674, 56409, 33928, 19696, 16397, 16790, 36718, 16426, 16401, 16704, 16641, 20349, 51409, 16674, 24305, 23078, 23273, 16721, 18561, 19919, 16641, 19857, 46650, 18164, 16666, 16674, 18180, 16699, 16680, 16805, 22036, 16395, 20472, 16670, 16835, 35631, 16604, 16443, 16442, 16442, 16415, 16417, 16400, 16444, 16443, 16444, 16397, 16759, 16835, 35631, 16704, 16641, 19680, 22835, 16673, 16604, 16401, 16604, 16404, 16401, 16406, 20932, 53009, 18302, 23858, 17142, 23674, 40665, 16395, 30807, 22036, 43441, 16674, 17250, 16657, 64666, 17689, 44810, 16649, 16954, 16604, 16391, 16422, 25353, 16954, 16392, 16395, 16741, 17204, 16741, 19705, 22036, 24375, 35057, 16604, 16443, 16442, 16442, 16415, 16417, 16401, 16444, 16443, 16444, 16397, 18708, 35057, 17699, 25566, 16734, 17492, 16977, 16674, 16977, 18155, 32995, 26513, 16395, 20781, 19034, 16641, 17646, 24759, 18474, 18814, 16672, 31395, 17917, 16604, 16443, 16442, 16442, 16415, 16417, 16402, 16444, 16396, 16396, 16442, 16415, 16417, 16404, 16444, 16443, 16444, 16397, 16582, 16582, 17071, 64628, 20444, 16704, 16647, 17551, 16721, 18546, 17155, 16790, 36718, 16426, 16401, 24020, 16704, 40905, 16671, 23942, 16396, 41792, 35857, 23526, 23971, 16672, 19931, 29338, 17050, 16675, 23942, 16396, 16604, 16391, 16456, 22203, 16396, 16392, 16945, 49494, 16674, 19723, 47476, 54445, 49504, 16604, 16443, 16442, 16442, 16415, 16417, 16401, 16444, 16395, 16604, 16442, 16415, 16417, 16403, 16444, 16443, 16444, 16397, 27385, 16684, 16647, 17679, 16673, 18365, 16790, 36718, 16426, 16401, 35857, 16395, 16664, 16397, 64908, 16401, 16399, 16400, 16408, 22112, 37394, 16872, 29059, 16741, 16667, 17889, 37145, 16795, 16673, 20090, 17002, 18251, 49906, 29578, 23942, 16674, 17226, 22203, 16672, 18827, 21793, 47449, 16395, 24924, 19626, 26476, 25422, 16395, 16674, 16671, 16641, 33677, 20157, 16672, 20158, 16674, 18827, 18154, 27319, 16604, 16443, 16442, 16442, 16415, 16417, 16405, 16444, 16443, 16444, 16397, 16582, 16582, 59149, 16395, 16728, 21438, 16721, 16991, 16790, 36718, 16426, 16401, 35857, 16674, 20062, 16396, 41792, 35715, 16769, 18462, 16671, 18343, 27572, 19318, 16395, 17154, 18715, 18443, 16671, 18545, 26667, 19938, 16604, 16443, 16442, 16442, 16415, 16417, 16406, 16444, 16443, 16444, 16397, 17170, 16704, 49103, 26524, 16671, 16664, 16397, 64908, 16401, 16399, 16400, 16408, 22112, 37394, 16395, 16944, 16704, 18545, 16672, 23942, 18873, 16815, 16647, 21994, 56319, 16674, 16872, 16804, 18352, 16992, 19074, 16672, 16647, 17703, 23942, 61454, 16815, 20130, 22852, 16397, 33465, 16395, 18295, 23942, 18813, 35715, 16673, 16790, 36718, 16426, 16401, 17789, 16664, 16397, 64908, 16401, 16402, 16407, 16404, 26967, 16395, 16664, 16397, 18342, 16448, 16403, 16400, 16408, 19114, 16395, 16674, 16664, 16397, 26967, 16400, 16405, 16401, 16407, 18023, 16807, 17097, 16992, 19074, 16672, 20130, 25149, 27319, 16674, 16807, 16992, 32157, 16672, 16647, 21994, 23942, 61454, 16604, 16443, 16442, 16442, 16415, 16417, 16407, 16444, 16443, 16444, 16397, 16582, 16582, 22203, 44402, 16872, 16992, 23971, 52272, 18290, 16672, 18295, 17394, 23349, 16395, 17789, 21792, 22852, 16397, 20195, 16395, 16742, 26426, 16604, 16407, 16790, 36718, 16426, 16401, 35857, 16674, 20130, 25149, 18813, 35715, 16672, 16667, 19550, 19971, 40849, 17415, 18540, 16674, 22852, 16395, 16672, 16647, 17092, 37047, 16673, 23942, 18873, 16674, 21374, 24758, 16815, 52390, 16397, 16582, 16582, 16401, 16397, 26282, 24082, 17595, 16604, 16474, 16386, 19810, 16401, 16476, 16582, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16582, 16582, 16401, 16397, 16400, 16397, 26282, 39862, 16466, 16604, 16474, 16386, 19810, 16401, 16397, 16400, 16476, 16582, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16582, 16582, 16416, 18804, 16673, 16604, 16401, 16403, 16405, 23942, 18873, 16958, 28968, 18444, 39812, 16395, 16734, 17028, 19130, 16671, 53036, 16395, 17560, 16604, 16400, 16403, 18355, 16815, 16647, 18611, 19371, 16715, 32517, 26939, 21740, 16672, 53526, 16396, 16434, 42604, 18329, 16395, 20664, 27821, 37790, 16672, 17385, 20298, 16472, 18329, 16395, 16674, 16641, 23275, 20374, 16672, 17485, 17644, 16458, 16682, 18329, 16672, 52390, 16397, 16772, 58078, 16673, 48317, 20916, 16674, 48317, 38438, 23942, 16958, 17366, 16709, 16647, 20445, 16673, 16647, 21294, 17415, 17142, 20664, 26390, 35236, 18745, 16671, 16647, 34451, 53901, 22016, 16604, 16391, 16428, 22569, 16392, 23942, 25145, 16604, 16443, 16442, 16442, 16415, 16417, 16408, 16444, 16443, 16444, 16397, 22646, 17226, 22203, 16674, 20090, 17002, 23942, 19140, 16734, 16914, 18125, 17092, 16396, 35899, 31793, 16958, 19618, 16672, 16647, 18077, 16397, 36865, 16745, 16746, 23040, 24319, 16673, 16647, 37047, 16958, 41605, 16671, 18059, 19780, 19706, 16604, 16391, 16436, 22695, 16392, 20468, 22046, 40751, 17264, 39099, 16604, 16391, 24979, 25017, 16392, 18693, 22984, 23355, 16674, 17073, 25698, 16704, 18201, 16672, 16604, 16442, 22224, 16604, 16400, 16444, 16391, 16386, 26179, 16400, 16392, 16474, 18452, 16396, 18926, 16412, 16385, 22246, 16385, 16476, 16397, 17664, 16958, 16604, 16401, 16400, 18873, 16604, 16391, 16407, 16397, 16404, 16388, 16395, 16604, 16401, 16400, 16398, 16401, 16403, 16405, 16392, 16734, 16641, 17797, 18496, 16673, 23942, 16674, 16398, 16658, 26195, 16658, 16395, 16674, 16604, 16402, 16400, 16604, 16391, 16400, 16401, 16397, 16405, 16388, 16395, 16604, 16402, 16400, 16398, 16401, 16403, 16405, 16392, 18873, 16734, 16647, 37073, 16673, 23942, 17329, 16604, 16403, 16399, 17202, 16673, 18702, 16397, 16772, 21966, 16671, 21379, 21844, 16763, 16604, 16399, 16397, 16408, 16404, 20464, 16409, 20464, 16400, 16397, 16772, 17881, 18702, 16673, 23942, 37073, 16763, 16604, 16404, 16404, 16397, 16399, 16405, 20464, 31334, 20464, 16400, 16400, 16397, 16400, 16404, 16604, 16391, 24193, 16604, 16400, 16403, 16396, 16396, 16406, 16406, 16392, 16395, 16674, 16647, 17881, 18702, 16767, 16647, 17367, 27560, 16763, 16604, 16405, 16400, 16397, 16406, 20464, 31334, 20464, 16400, 16399, 16397, 16402, 16604, 16391, 24193, 16604, 16401, 16407, 16396, 16396, 16407, 16402, 16392, 16397, 28399, 16396, 47344, 18982, 17186, 16672, 16604, 16406, 16401, 16397, 16407, 16388, 16673, 16647, 37047, 16958, 47580, 16395, 16604, 16401, 16399, 16397, 16406, 16388, 16958, 21993, 16395, 16674, 16647, 23063, 18982, 17186, 16958, 16876, 16472, 28535, 16713, 16604, 16391, 16401, 16397, 16407, 16388, 16392, 16395, 16700, 27512, 16604, 16391, 16401, 16388, 16392, 16395, 26814, 16604, 16391, 16400, 16397, 16402, 16388, 16392, 16395, 16674, 50737, 17442, 16604, 16391, 16399, 16397, 16403, 16388, 16392, 16397, 22226, 24347, 58405, 17894, 16673, 18702, 16396, 16674, 23324, 16396, 47250, 16604, 16401, 16399, 16399, 40403, 18123, 24454, 16958, 21715, 16815, 16647, 18147, 16396, 17955, 23355, 16673, 24438, 19033, 17587, 21374, 47580, 16466, 16815, 16647, 18611, 19371, 16715, 62722, 16395, 53526, 16396, 16434, 42604, 16604, 16391, 24281, 16417, 16392, 16397, 16582, 16582, 17635, 18077, 16763, 22782, 16809, 16647, 20468, 37868, 21217, 16673, 25082, 16417, 16604, 16391, 16403, 16398, 16401, 16408, 16397, 16399, 16407, 16397, 16401, 16399, 16400, 16406, 16392, 16674, 16647, 21054, 16673, 32517, 34500, 18059, 19780, 19706, 16604, 16391, 64420, 16429, 16876, 22695, 16392, 16604, 16391, 16399, 16406, 16398, 16432, 16399, 16404, 16400, 16401, 16398, 16401, 16405, 16392, 16397, 44138, 24608, 26535, 16715, 25769, 16672, 16647, 18077, 16763, 21715, 16815, 17492, 18910, 16397, 17958, 18741, 17624, 16763, 25005, 16734, 19857, 18077, 18231, 32293, 16397, 16582, 16582, 16401, 16397, 16401, 16397, 59314, 26869, 16604, 16474, 16386, 19810, 16401, 16397, 16401, 16476, 16582, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16582, 16582, 18243, 17877, 23193, 16906, 19546, 16763, 23980, 16815, 16647, 24454, 16767, 16647, 33976, 26429, 16674, 18630, 16671, 25082, 16417, 16715, 23642, 35761, 17655, 16647, 39233, 29105, 34670, 16397, 58405, 17894, 16958, 17177, 36368, 16671, 61292, 16429, 16876, 22695, 16715, 25998, 19335, 16397, 18073, 61292, 16429, 16395, 58405, 17894, 16958, 25865, 16715, 18950, 16674, 29879, 17655, 57967, 41763, 34122, 23476, 16701, 30247, 16604, 16391, 54998, 22019, 35299, 16395, 16762, 17338, 16707, 16395, 24636, 16395, 21119, 16392, 16397, 20586, 18716, 16958, 52465, 45392, 16671, 16604, 16401, 16404, 20464, 17284, 16398, 16393, 23944, 16393, 16459, 16395, 16674, 16604, 16401, 16404, 20464, 16393, 23944, 16393, 16459, 21765, 16673, 23642, 16815, 17492, 22281, 16763, 28015, 16671, 16604, 16408, 16405, 16396, 20581, 30904, 16397, 16582, 16582, 18301, 16647, 20445, 16673, 16647, 23824, 18603, 16395, 16604, 16407, 16790, 36718, 16426, 16401, 18494, 16396, 61679, 43196, 51012, 22747, 16604, 16391, 30348, 22776, 16392, 16673, 17654, 16958, 21578, 16715, 16647, 19335, 16397, 28092, 16673, 17007, 16769, 25662, 19074, 16790, 36718, 16426, 16401, 35857, 16409, 16604, 16391, 16450, 16397, 16405, 16399, 16404, 16404, 16422, 16443, 16413, 16416, 16392, 16664, 16397, 64908, 16401, 16399, 16400, 16408, 22112, 16604, 16391, 19404, 16402, 16403, 16405, 16402, 16406, 16404, 16407, 16403, 16392, 16395, 16604, 16391, 16450, 16397, 16403, 16402, 16401, 16401, 16422, 16443, 16413, 16416, 16392, 16664, 16397, 26967, 16400, 16403, 16403, 16400, 23873, 16604, 16391, 19404, 16402, 16403, 16408, 16408, 16404, 16402, 16406, 16405, 16392, 16395, 16604, 16391, 16450, 16397, 16404, 16399, 16408, 16405, 16416, 16443, 16413, 16422, 16392, 16664, 16397, 16435, 20593, 16400, 16405, 16408, 16408, 16418, 17129, 16604, 16391, 19404, 16402, 16404, 16407, 16399, 16400, 16403, 16400, 16407, 16392, 16395, 16604, 16391, 16450, 16397, 16405, 16399, 16404, 16408, 16435, 16443, 16413, 16418, 16392, 16664, 16397, 16424, 16677, 16401, 16399, 16401, 16399, 17278, 16465, 16604, 16391, 19404, 16402, 16404, 16407, 16406, 16399, 16401, 16402, 16406, 16392, 16395, 16674, 16604, 16391, 16450, 16397, 16403, 16402, 16399, 16408, 16416, 16443, 16413, 16418, 16392, 16664, 16397, 17894, 16461, 16400, 16403, 16402, 16406, 23873, 16604, 16391, 19404, 16406, 16403, 16400, 16405, 16402, 16405, 16407, 16405, 16392, 16410, 16674, 17567, 16673, 17007, 16769, 16647, 20130, 25149, 16396, 27044, 23942, 16396, 41792, 35715, 16409, 16604, 16391, 16450, 16397, 16406, 16400, 16404, 16402, 16422, 16443, 16413, 16416, 16392, 16664, 16397, 64908, 16401, 16402, 16407, 16404, 26967, 16604, 16391, 19404, 16402, 16403, 16406, 16406, 16407, 16402, 16403, 16407, 16392, 16395, 16604, 16391, 16450, 16397, 16400, 16401, 16404, 16405, 16418, 16443, 16413, 16435, 16392, 16664, 16397, 18342, 16448, 16403, 16400, 16408, 19114, 16604, 16391, 19404, 16402, 16403, 16404, 16408, 16403, 16403, 16408, 16407, 16392, 16395, 16674, 16604, 16391, 16450, 16397, 16403, 16407, 16407, 16402, 16422, 16443, 16413, 16418, 16392, 16664, 16397, 26967, 16400, 16405, 16401, 16407, 18023, 16604, 16391, 19404, 16402, 16402, 16408, 16403, 16408, 16402, 16408, 16399, 16392, 16604, 16391, 16442, 23236, 16604, 16400, 16444, 16391, 16386, 19327, 16400, 16392, 16474, 18452, 16396, 18926, 16412, 16385, 19327, 16385, 16476, 16392, 16397, 16772, 28886, 22776, 16674, 24137, 16604, 16404, 16399, 19300, 16396, 16463, 19763, 16958, 64487, 16672, 17973, 20818, 16459, 35085, 27402, 16604, 16391, 19914, 16702, 16400, 16672, 16647, 54418, 18651, 16715, 24632, 19335, 16392, 16397, 16772, 17802, 16673, 58767, 16395, 32383, 16673, 46819, 16395, 16674, 25998, 19335, 16958, 20888, 16672, 16790, 28933, 22226, 39478, 16395, 20635, 16397, 17933, 19508, 16674, 20809, 24758, 16958, 18125, 16715, 16647, 21578, 16790, 36718, 16426, 16401, 28886, 22776, 16397, 16790, 36718, 16426, 16401, 18487, 36722, 16661, 16763, 18090, 17655, 31130, 23265, 17998, 45748, 16677, 16396, 44369, 29878, 17043, 16954, 22835, 22570, 16604, 16391, 41070, 16392, 18487, 36722, 16661, 34803, 16604, 16391, 16426, 61771, 27990, 16395, 16790, 28933, 22226, 39478, 16397, 16751, 23539, 16395, 19590, 16392, 16395, 16641, 18197, 16721, 28434, 16660, 17002, 16677, 17006, 27705, 16673, 28886, 22776, 16674, 46242, 16674, 16774, 17901, 16942, 16767, 18462, 16862, 16845, 17181, 23677, 59535, 16396, 27044, 38331, 16397, 22226, 36722, 16661, 20440, 16647, 16790, 28933, 22226, 39478, 25022, 16397, 53799, 37289, 27951, 16604, 16391, 24219, 16604, 16400, 16397, 16408, 16408, 16395, 42158, 20631, 24858, 16395, 19590, 16392, 16763, 17405, 16671, 55538, 16647, 18487, 36722, 16661, 18466, 16604, 16391, 16411, 19597, 16409, 16398, 16398, 18409, 16397, 22062, 17040, 17300, 28298, 16397, 17070, 16398, 33062, 16398, 39222, 16398, 18511, 36722, 16661, 16396, 58653, 16398, 27292, 16463, 17481, 16646, 16413, 16392, 16397, 34737, 17002, 16674, 18198, 16396, 17112, 16688, 23942, 19140, 16734, 19508, 16790, 36718, 16426, 16401, 27068, 18604, 16958, 18630, 16715, 16794, 16838, 41102, 16604, 16391, 16438, 18311, 16392, 16671, 20881, 27909, 16395, 18764, 23571, 16397, 16875, 18150, 16395, 17014, 16790, 36718, 16426, 16401, 35857, 16958, 21766, 16672, 16641, 18033, 16770, 16395, 16702, 19386, 41102, 16763, 20888, 16715, 16858, 18125, 17797, 18319, 16397, 23121, 16395, 16742, 32550, 16604, 16400, 16402, 19642, 19006, 31793, 16715, 16647, 16664, 16397, 64908, 16401, 16402, 16407, 16404, 26967, 16674, 16664, 16397, 18342, 16448, 16403, 16400, 16408, 19114, 35857, 16815, 17142, 20422, 16397, 16582, 16582, 16401, 16397, 16402, 16397, 47841, 26869, 16604, 16474, 16386, 19810, 16401, 16397, 16402, 16476, 16582 ]
[ 0, 16582, 16582, 17759, 20084, 26205, 52796, 16719, 47200, 16409, 29180, 19512, 37267, 35011, 55688, 16744, 16763, 24798, 16709, 19118, 16604, 16407, 16395, 16604, 16400, 16406, 16406, 16400, 16395, 16809, 17648, 16466, 16397, 41451, 36012, 20577, 16674, 20859, 20948, 23109, 16397, 16604, 16391, 35927, 16809, 16647, 21994, 34985, 16674, 39038, 17098, 20433, 16395, 22061, 22549, 16395, 20058, 16397, 16392, 16582, 16582, 17759, 20084, 53819, 16719, 47200, 16409, 16772, 35074, 16709, 16647, 27123, 16673, 16811, 17498, 26173, 27955, 16395, 16604, 16385, 56225, 19512, 32515, 20874, 16771, 47102, 16704, 31616, 19028, 16641, 17585, 16673, 33253, 46249, 16641, 20104, 32770, 32900, 16671, 16647, 26362, 16397, 16999, 16704, 19570, 16647, 17154, 30718, 17755, 38803, 16674, 21636, 17587, 27609, 16673, 16858, 16647, 20058, 30881, 16397, 16999, 16704, 17027, 21931, 16715, 17073, 19655, 16918, 17909, 41684, 16397, 16385, 16604, 16391, 35927, 16809, 16647, 18246, 19073, 19861, 26173, 20433, 16395, 22061, 22549, 16395, 20058, 16397, 16392, 16582, 16582, 16386, 21103, 16942, 16673, 24310, 20058, 16582, 16582, 16386, 20288, 57342, 16582, 35839, 31472, 16604, 16401, 16399, 16399, 16406, 16809, 20288, 57342, 16582, 16582, 16408, 16406, 16407, 16400, 16403, 16402, 16408, 16405, 16402, 16403, 16399, 16408, 16406, 16582, 16582, 35927, 16809, 35011, 42379, 34985, 16650, 16604, 16582, 23559, 38976, 25322, 16395, 21987, 27021, 16395, 56568, 37651, 16395, 19512, 23800, 23279, 16582, 16582, 34678, 16665, 16672, 16647, 18303, 18644, 16673, 18924, 16582, 16582, 43255, 16673, 20931, 64018, 23385, 27928, 16409, 16604, 16401, 16399, 16399, 16405, 16408, 16402, 16408, 16406, 16403, 16407, 16582, 16582, 18264, 16858, 18723, 17624, 19047, 35011, 42379, 34985, 16767, 16409, 16650, 16604, 16582, 41635, 21784, 16604, 16407, 16403, 16402, 16396, 16407, 16404, 16402, 16396, 16401, 16399, 16406, 16399, 16650, 16604, 16582, 16421, 17271, 16604, 16407, 16403, 16402, 16396, 16407, 16404, 16402, 16396, 16399, 16399, 16403, 16403, 16650, 16604, 16582, 16420, 16396, 21576, 19935, 16415, 25113, 26361, 16904, 16910, 30443, 16397, 17070, 16650, 16604, 16582, 18264, 20992, 18224, 16674, 24078, 16409, 16650, 16604, 16582, 18313, 16683, 16396, 27769, 16604, 16400, 16396, 16407, 16407, 16407, 16396, 16402, 16400, 16402, 16396, 16401, 16405, 16405, 16404, 16582, 16582, 37534, 16907, 16709, 16647, 21463, 16767, 21866, 16397, 25113, 26361, 16904, 16910, 30443, 16397, 17070, 16582, 16419, 16665, 20862, 16671, 20058, 16390, 16466, 21904, 16396, 27480, 18095, 16582, 16582, 16386, 23984, 16673, 65216, 16582, 16582, 23399, 26319, 16650, 16582, 35839, 26319, 16650, 16582, 16419, 16665, 18866, 16650, 16582, 25766, 39905, 39852, 16422, 60522, 16650, 16582, 17681, 22082, 50397, 19429, 16650, 16582, 19494, 16604, 16443, 16396, 16727, 62351, 61362, 33687, 24902, 16430, 24077, 16711, 21078, 18189, 51024, 16650, 16582, 23930, 16604, 16443, 16396, 16727, 62351, 61362, 16790, 16436, 18629, 21727, 16440, 24077, 26205, 38586, 21367, 16650, 16582, 33577, 16604, 16443, 16396, 16727, 62351, 61362, 16832, 16436, 18013, 41058, 61293, 18013, 16430, 16650, 16582, 31304, 16604, 16443, 16396, 16727, 62351, 61362, 16796, 20709, 22777, 20308, 57283, 51024, 25855, 20308, 16650, 16582, 35539, 16604, 16443, 16396, 16727, 62351, 61362, 16773, 39168, 23849, 16430, 21727, 16440, 24077, 32459, 16416, 16511, 16623, 16416, 16650, 16582, 37728, 16604, 16443, 16396, 16727, 62351, 61362, 41534, 18144, 24011, 20512, 20146, 16416, 16650, 16582, 46116, 16604, 16443, 16396, 16727, 62351, 61362, 22238, 16738, 51024, 50536, 51258, 16650, 16582, 52115, 16604, 16443, 16396, 16727, 62351, 61362, 22238, 20325, 33698, 16434, 16650, 16582, 55746, 16604, 16443, 16396, 16727, 62351, 25507, 56581, 63994, 62799, 16416, 25885, 21610, 21805, 16424, 16511, 16625, 16429, 16650, 16582, 37484, 16604, 16443, 16396, 20084, 24286, 24460, 18144, 35433, 18327, 21828, 51796, 33251, 22619, 16434, 16650, 16582, 22477, 24977, 16424, 23105, 61098, 51981, 16582, 16582, 16386, 16711, 24546, 39905, 39852, 16422, 60522, 16582, 16582, 22397, 16395, 16687, 20048, 16671, 20677, 16887, 31643, 16395, 16647, 19164, 34699, 16738, 18232, 21902, 16395, 16929, 24367, 16674, 35620, 23084, 16673, 18334, 24310, 20058, 17498, 43986, 16721, 16958, 17405, 16715, 37704, 17415, 21928, 16395, 16968, 18659, 16395, 16674, 16968, 17797, 16397, 19079, 20555, 19194, 16848, 16395, 16674, 17178, 18208, 16395, 16734, 16641, 21221, 37058, 17065, 16647, 18074, 16397, 22872, 16395, 16687, 20048, 16671, 20677, 16887, 19082, 16395, 31288, 57342, 16395, 16715, 16647, 23103, 16673, 16968, 20058, 30881, 34097, 18566, 16721, 17049, 21047, 16672, 16604, 16400, 16408, 16402, 16406, 16741, 16641, 21904, 16396, 27480, 31068, 16767, 62998, 29853, 16390, 16466, 21792, 18795, 16397, 17170, 34097, 18566, 25287, 22652, 17498, 43986, 16721, 16958, 16604, 16391, 48295, 18742, 16392, 20283, 22111, 16815, 16914, 60292, 16396, 19671, 22481, 35858, 16397, 17294, 19987, 16395, 16687, 20048, 16671, 20677, 35011, 42379, 34985, 16390, 16466, 31575, 29104, 16715, 18065, 16811, 17913, 18230, 16397, 16582, 16582, 16386, 20325, 22082, 50397, 19429, 16582, 16582, 24647, 17154, 20058, 32790, 17613, 18095, 16395, 16687, 21877, 16647, 25345, 17913, 16672, 21904, 23724, 16673, 47563, 16641, 46631, 18528, 16673, 16641, 20058, 21136, 16397, 18523, 16395, 22922, 16641, 17589, 16673, 16887, 46637, 16395, 16687, 31339, 22606, 16647, 17650, 16673, 24710, 16903, 17719, 35093, 27696, 16674, 26211, 17007, 16734, 60305, 16673, 17707, 16656, 16674, 17177, 18065, 16641, 25172, 16891, 16673, 32426, 36876, 16397, 19525, 18067, 16395, 18120, 16390, 16466, 18095, 16807, 16647, 20328, 16673, 28337, 17036, 46388, 17404, 16895, 38692, 16671, 17799, 16914, 30881, 16395, 16850, 20058, 16390, 16466, 21904, 16396, 27480, 29163, 17363, 19497, 27205, 16931, 16647, 21136, 18472, 16397, 17294, 16728, 16763, 16887, 21904, 16396, 27480, 18019, 16395, 18184, 16734, 16887, 19326, 16390, 19979, 56070, 16721, 19618, 27988, 16767, 16647, 30881, 18184, 30984, 16604, 16400, 16399, 16400, 16395, 16721, 23540, 16887, 17652, 16715, 16647, 17719, 30881, 16674, 20058, 18496, 16672, 18723, 16397, 16582, 16582, 21925, 16395, 21136, 18496, 16704, 16804, 27716, 16809, 18594, 18120, 16734, 16741, 17240, 29700, 17552, 16785, 32335, 16395, 18839, 17310, 45288, 16673, 16647, 20058, 30535, 18154, 37123, 16929, 16958, 17242, 44836, 16895, 17065, 17016, 55198, 16671, 17687, 16922, 17032, 16641, 17510, 16673, 33186, 19438, 16809, 16647, 23791, 32611, 16397, 16772, 17291, 17539, 16715, 32154, 20058, 30535, 21457, 17560, 16647, 16604, 16400, 16407, 16757, 20655, 16674, 17065, 16647, 16604, 16400, 16408, 16757, 20655, 16763, 16647, 27673, 16673, 16914, 16664, 17025, 16471, 27046, 19995, 16674, 18143, 16667, 18334, 18554, 16815, 24720, 22204, 17065, 16641, 19971, 16734, 17687, 16785, 17028, 37415, 16397, 24040, 16395, 24704, 16673, 17016, 16872, 54656, 17597, 17560, 16647, 18074, 17142, 28154, 17608, 16647, 32485, 16673, 16647, 17092, 20058, 21136, 16395, 19512, 26660, 16774, 17385, 18336, 17526, 16395, 24178, 18120, 16843, 18615, 16647, 18019, 16673, 25049, 16647, 34949, 32600, 30881, 16674, 25217, 16641, 37058, 17065, 16647, 18074, 16397, 16582, 16582, 25068, 21474, 16673, 18074, 22231, 22606, 20469, 17097, 16647, 55295, 16395, 16672, 16991, 19140, 16395, 16673, 16647, 19170, 16911, 28913, 16396, 27901, 16665, 30881, 16397, 18708, 20124, 27286, 16807, 19194, 16907, 18120, 16734, 16641, 22281, 16673, 16647, 24988, 17310, 24178, 31867, 17181, 16647, 19545, 16673, 25088, 17498, 43986, 16671, 18659, 16674, 17797, 16397, 16582, 16582, 16853, 20555, 20905, 17348, 16704, 16804, 20645, 16671, 18658, 16641, 24632, 18375, 16673, 16647, 28964, 23084, 16673, 24310, 20058, 21136, 17498, 43986, 19807, 17030, 16647, 17202, 16397, 16999, 16704, 25646, 16641, 25521, 16673, 16641, 19532, 19648, 16673, 16647, 20710, 16673, 17498, 43986, 18125, 16671, 43999, 18120, 16397, 17376, 17204, 16395, 16811, 16884, 16806, 17997, 16843, 16703, 16673, 18020, 16671, 17310, 16929, 16843, 23225, 16647, 22065, 29076, 16673, 16991, 16673, 20058, 16390, 16466, 22708, 22793, 49022, 16397, 16582, 16582, 16853, 31410, 16807, 16992, 29216, 16715, 16647, 17154, 17015, 16672, 39392, 16395, 18661, 17032, 64578, 16395, 17970, 16397, 17513, 16807, 16992, 31616, 16815, 21631, 16671, 21522, 16395, 16859, 16873, 16769, 31867, 16709, 16647, 19242, 16672, 16641, 23286, 16721, 16961, 27663, 16641, 53879, 16390, 16466, 21522, 17241, 21961, 16395, 20227, 16767, 29180, 19512, 26660, 16674, 26737, 16741, 17963, 21522, 16741, 24657, 31037, 19044, 16397, 16772, 18551, 23362, 16704, 25167, 16641, 20555, 16673, 17498, 43986, 16673, 16647, 21677, 30881, 16395, 16785, 16741, 32617, 38893, 16395, 20944, 16641, 17589, 19642, 17498, 43986, 21370, 16647, 17154, 28553, 21136, 30758, 16644, 16395, 17648, 16397, 23032, 35166, 16462, 19641, 16735, 16397, 16999, 16704, 16647, 18421, 16390, 16466, 18453, 16721, 16647, 24223, 16868, 18615, 16647, 20710, 16673, 21014, 20905, 17348, 16709, 16811, 47461, 21961, 17181, 16991, 16673, 20058, 16390, 16466, 22793, 49022, 16397, 16582, 16582, 16386, 18483, 16582, 16582, 16386, 16727, 62351, 61362, 33687, 24902, 16430, 24077, 16711, 21078, 18189, 51024, 16582, 16582, 21324, 16397, 23032, 35166, 16462, 19641, 16735, 24798, 16647, 17092, 21136, 16672, 17385, 18876, 20058, 16395, 19512, 26660, 16774, 17385, 18336, 17526, 16395, 16709, 18936, 16604, 16400, 16405, 16395, 16604, 16400, 16406, 16405, 16408, 16397, 16772, 18758, 16763, 16709, 18477, 16699, 17236, 21266, 16395, 16944, 39463, 16647, 31808, 16673, 19512, 26660, 16674, 25901, 16672, 16647, 17092, 23791, 27198, 16672, 17385, 18876, 20058, 16397, 18523, 16395, 16672, 16604, 16400, 16406, 16406, 16403, 16395, 16647, 21136, 16763, 51113, 18817, 20990, 16903, 35614, 16395, 16672, 18122, 17015, 18443, 16671, 16647, 17109, 16715, 16922, 18247, 16671, 17564, 16647, 20299, 16864, 55237, 16820, 19971, 16397, 63620, 16395, 16672, 19196, 16604, 16400, 16406, 16406, 16405, 16395, 16667, 56838, 16673, 22051, 16604, 16407, 16399, 16399, 30535, 21457, 28255, 16647, 21136, 16395, 23620, 17648, 16397, 37811, 26876, 17484, 16395, 16641, 18908, 38750, 16395, 16674, 16641, 17378, 43285, 16395, 16674, 17177, 30545, 17285, 16647, 21136, 16397, 18916, 16641, 18472, 16673, 20545, 18355, 16395, 16647, 30545, 16396, 16833, 21136, 16763, 49317, 16674, 19618, 16641, 20519, 20140, 30809, 28077, 17802, 16397, 16604, 16391, 35927, 16809, 16687, 16397, 16790, 16397, 17973, 16462, 16395, 19512, 26660, 16395, 20058, 16397, 16392, 16582, 16582, 17635, 17498, 26173, 16763, 17498, 43062, 19137, 16604, 16402, 16400, 16395, 16604, 16400, 16408, 16401, 16401, 16395, 16674, 18937, 16647, 36678, 17731, 16673, 16647, 19512, 26660, 21136, 16767, 16647, 18399, 16673, 16647, 16604, 16400, 16408, 16757, 20655, 16397, 16772, 21136, 19198, 17073, 17830, 16815, 16647, 33623, 17521, 21786, 21156, 50062, 19512, 26660, 16774, 17385, 18336, 17526, 16395, 16929, 21611, 16815, 16604, 16400, 16403, 16399, 16399, 16671, 16604, 16400, 16403, 16405, 16402, 16674, 16763, 18365, 16715, 16647, 16664, 17531, 17417, 16733, 19684, 16674, 16647, 16604, 16385, 29335, 27787, 64084, 17181, 17107, 16397, 16385, 16604, 16391, 35927, 16809, 16751, 16397, 16790, 16397, 17996, 21976, 16395, 19512, 26660, 16395, 20058, 16397, 16392, 16582, 16582, 17635, 18399, 16396, 16825, 17498, 26173, 16673, 16647, 21136, 19512, 26660, 16774, 17385, 18336, 17526, 19497, 16641, 17498, 19632, 16709, 16647, 17141, 18194, 37489, 17160, 16647, 26829, 16673, 16647, 43282, 41910, 16672, 16604, 16400, 16408, 16400, 16402, 16397, 16772, 17498, 26173, 17027, 25684, 16647, 21136, 16390, 16466, 17736, 18843, 16741, 16604, 16385, 18516, 16604, 16400, 16404, 16399, 20510, 17301, 16674, 24231, 16721, 16769, 17567, 20510, 23175, 16397, 16385, 16604, 16391, 35927, 16809, 17973, 16462, 16674, 24418, 56016, 16395, 19512, 26660, 16395, 20058, 16397, 16392, 16582, 16582, 16385, 30260, 26660, 29180, 16674, 16647, 17719, 48151, 52303, 16395, 35283, 16672, 16604, 16400, 16406, 16405, 16408, 16385, 16704, 19517, 16709, 16647, 17141, 16673, 16811, 19384, 16397, 17170, 17498, 26173, 16763, 54128, 16815, 19941, 36703, 23621, 16395, 20058, 16395, 16709, 18810, 16604, 16403, 16395, 16604, 16400, 16408, 16400, 16403, 16397, 16772, 17141, 16673, 16647, 19384, 17027, 19619, 16721, 16647, 38892, 22766, 16958, 35283, 16604, 16385, 16448, 20531, 16674, 32880, 16396, 16877, 17202, 18469, 16395, 16385, 16674, 17027, 21144, 16604, 16385, 26176, 16769, 17363, 32009, 24437, 16397, 16385, 16604, 16391, 35927, 16809, 17973, 16462, 16674, 24418, 56016, 16395, 19512, 26660, 16395, 20058, 16397, 16392, 16582, 16582, 17635, 17498, 26173, 44688, 16647, 21136, 16931, 16604, 16400, 16407, 16408, 16401, 17135, 16647, 26055, 16673, 16647, 20330, 16955, 37873, 16397, 20361, 16673, 16647, 25172, 43841, 16955, 16992, 18711, 16809, 16811, 17005, 16671, 16703, 16604, 16385, 16644, 28501, 16665, 16385, 17065, 16647, 55129, 16673, 21810, 16672, 16647, 22411, 22804, 18124, 16673, 19512, 26660, 16397, 16604, 16391, 35927, 16809, 16647, 27910, 34985, 20433, 16395, 27910, 16395, 24156, 16397, 16392, 16582, 16582, 17635, 17498, 26173, 18937, 16647, 58973, 18255, 16657, 21063, 16604, 16391, 22902, 28958, 16392, 16721, 16763, 16691, 16396, 38379, 16741, 17015, 16673, 16647, 21136, 33443, 17913, 16672, 16604, 16400, 16408, 16402, 16400, 16397, 16772, 20330, 16763, 16672, 20432, 18224, 18015, 16647, 29185, 35569, 17873, 16673, 16604, 16400, 16407, 16401, 16408, 16397, 16604, 16391, 35927, 16809, 16647, 38352, 19221, 25591, 16395, 19512, 26660, 16395, 20058, 16397, 16392, 16582, 16582, 16385, 16853, 26468, 16673, 16858, 16647, 20058, 21103, 16942, 16395, 16385, 19512, 26660, 16774, 17385, 18336, 17526, 16704, 18215, 17348, 16672, 17653, 18058, 16673, 16647, 18255, 16657, 21063, 16397, 16711, 19346, 35895, 21703, 16843, 17027, 16703, 18215, 16767, 16647, 17963, 17939, 16673, 16811, 19521, 16397, 16604, 16391, 35927, 16809, 50822, 19861, 43986, 16395, 19512, 26660, 16395, 20058, 16397, 16392, 16582, 16582, 21055, 16667, 47830, 21805, 16785, 16604, 16385, 21760, 16396, 38693, 17498, 26173, 16385, 27761, 16647, 17719, 46535, 16673, 16647, 18255, 16657, 21063, 16397, 16772, 46535, 16672, 16647, 18514, 31468, 17786, 16958, 18711, 16395, 16715 ]
[ 0, 17894, 16647, 20667, 24913, 16862, 16680, 16395, 32059, 16671, 57554, 30792, 16396, 35464, 16771, 29205, 16827, 25205, 16671, 17803, 25417, 23562, 19023, 16395, 16647, 19464, 16673, 16647, 17394, 16769, 19678, 16671, 21298, 16397, 16875, 16811, 19580, 16395, 16742, 17121, 16743, 16467, 17158, 16671, 16977, 20667, 26862, 16715, 36038, 16395, 16850, 16671, 16647, 16819, 17950, 17468, 16925, 18237, 27112, 16721, 16807, 55310, 21298, 17030, 16647, 18074, 18295, 17202, 16397, 16772, 17097, 17811, 24258, 17210, 16671, 19623, 16864, 57652, 16666, 56416, 22021, 16395, 50300, 21668, 16395, 16674, 17731, 56072, 16704, 16809, 18843, 48938, 23905, 21197, 18010, 16671, 17646, 16641, 18168, 16671, 17007, 20206, 16397, 16875, 36923, 58841, 22982, 16395, 16647, 18211, 48693, 40002, 18237, 39827, 16672, 21298, 16815, 16647, 34639, 16673, 16647, 17731, 16673, 22997, 16672, 16604, 16401, 16399, 16400, 16404, 17181, 16647, 21429, 49355, 16674, 60466, 52532, 16673, 16604, 16401, 16399, 16400, 16405, 16903, 16671, 16647, 17875, 18943, 16397, 17170, 16704, 16647, 17092, 43275, 16673, 16641, 17142, 16396, 18689, 18502, 16709, 16647, 19580, 16672, 21298, 16742, 16769, 28417, 16672, 16647, 17474, 16396, 16825, 16671, 16811, 21013, 16743, 16466, 24913, 16410, 16647, 17711, 16868, 17482, 23705, 16397, 16582, 16582, 29414, 16604, 16408, 16395, 16604, 16401, 16399, 16400, 16405, 16397, 16582, 16582, 20068, 16647, 22625, 23574, 16809, 35972, 16672, 19160, 16674, 19196, 16604, 16401, 16399, 16400, 16404, 16674, 16647, 34639, 16673, 16641, 17731, 16673, 22997, 16395, 17028, 16917, 17120, 16807, 28033, 16721, 21298, 16763, 16931, 16671, 18019, 18295, 18355, 16673, 16903, 16643, 29091, 16397, 17170, 16704, 16667, 19443, 16671, 18930, 16667, 31233, 16674, 19335, 16673, 16647, 63738, 16721, 20440, 16647, 18946, 25988, 16680, 16755, 16985, 22735, 25001, 16604, 16391, 21230, 16741, 16647, 16604, 16894, 23284, 16456, 19163, 16469, 17034, 16900, 16392, 16397, 16999, 16704, 23827, 16641, 24632, 18375, 21575, 16641, 27776, 22410, 16395, 16850, 16641, 18159, 17971, 16815, 16647, 22410, 16673, 16991, 16929, 21927, 16672, 16647, 51257, 16397, 21604, 16647, 19122, 18200, 17617, 16858, 17030, 21298, 17205, 16642, 16793, 34867, 16395, 16778, 25834, 16395, 16790, 19012, 16395, 64067, 17455, 16395, 48148, 16395, 16674, 26350, 17205, 17052, 16868, 18314, 16709, 16991, 16673, 16647, 21330, 16672, 22388, 16672, 16944, 16742, 27227, 29616, 16397, 16582, 16582, 18301, 16647, 28229, 16673, 16647, 21246, 33933, 60207, 16582, 16582, 19231, 16647, 17291, 16673, 19557, 16604, 16401, 16399, 16400, 16405, 16395, 21298, 16763, 16641, 30938, 17254, 16454, 16397, 16875, 54239, 16395, 16728, 16743, 16466, 16804, 24550, 16721, 16647, 19052, 42108, 16673, 16647, 38530, 17202, 16395, 29755, 16734, 19431, 18998, 59747, 16673, 16647, 17995, 16395, 19296, 48381, 17523, 16647, 19560, 16671, 17156, 16641, 19868, 18814, 16672, 16647, 20664, 17647, 16647, 22079, 16456, 19163, 16469, 17034, 16397, 16582, 16582, 16853, 35972, 22625, 16673, 16604, 16401, 16399, 16400, 16404, 21035, 16647, 20667, 17995, 16667, 28793, 16671, 34762, 17940, 18123, 16673, 16647, 18734, 19971, 16397, 35591, 21483, 16673, 16647, 22239, 16721, 20440, 17492, 18736, 16674, 16647, 20198, 16673, 18368, 22625, 16395, 16647, 23071, 20493, 16641, 17009, 30944, 17780, 16674, 25325, 16641, 17731, 16673, 22997, 16397, 17170, 29043, 17007, 16671, 20746, 17009, 16604, 16894, 16467, 23151, 16900, 16674, 16604, 16894, 29219, 17625, 16900, 20383, 16395, 17274, 16741, 35080, 30407, 40288, 16672, 16647, 17830, 16673, 18982, 19307, 16395, 44889, 17047, 16743, 16466, 27112, 16674, 28468, 16395, 16674, 24833, 16891, 18287, 36478, 17714, 16641, 22948, 16743, 16466, 41390, 16397, 17170, 17731, 16673, 22997, 16763, 17097, 21234, 16671, 17367, 17567, 18355, 16410, 16672, 17551, 16395, 16728, 16704, 17363, 16672, 17717, 16741, 16673, 18932, 16604, 16401, 16399, 16400, 16406, 16397, 17544, 16922, 17624, 16931, 16647, 17731, 16673, 22997, 16395, 21273, 16647, 16604, 16401, 16399, 16400, 16404, 27241, 17415, 44015, 17078, 39567, 16397, 16674, 54366, 16706, 21990, 16397, 16582, 16582, 29899, 16395, 16647, 19580, 16673, 36420, 16672, 21298, 16955, 16992, 63018, 17608, 19118, 16604, 16401, 16399, 16400, 16404, 16397, 16772, 18070, 23071, 59906, 16914, 21084, 16673, 20217, 33065, 16395, 25088, 19117, 21442, 16671, 17390, 16744, 16674, 45502, 16677, 18295, 18199, 53126, 31162, 16672, 22388, 16397, 16772, 18479, 16763, 20869, 16671, 20303, 16721, 19318, 16673, 30632, 16961, 16804, 16703, 17914, 16671, 23187, 16785, 34599, 23654, 16397, 37149, 18627, 25100, 16395, 16647, 20667, 17995, 18200, 48645, 21399, 16671, 21033, 16647, 17679, 16673, 17047, 19006, 16672, 16647, 16604, 16894, 16425, 33424, 16395, 16900, 16647, 37307, 18255, 18046, 16647, 22530, 30635, 16671, 16647, 19590, 16397, 17513, 28373, 16903, 26334, 49965, 16395, 19438, 16641, 54440, 17521, 16674, 20349, 30316, 16604, 16894, 29756, 26464, 18255, 16395, 16900, 16674, 16971, 23829, 16647, 25461, 17015, 16673, 16647, 57459, 16709, 16647, 19571, 16673, 19557, 16604, 16401, 16408, 16395, 16604, 16401, 16399, 16400, 16405, 16397, 17544, 16922, 17624, 16709, 16647, 53144, 16673, 30632, 16672, 18627, 25100, 16395, 21273, 18627, 25100, 16727, 28787, 38947, 30647, 16395, 16944, 16704, 18399, 16671, 16647, 20158, 17933, 36179, 20664, 16397, 16582, 16582, 42161, 16395, 16672, 16647, 18067, 16673, 16647, 38530, 17202, 16395, 19052, 16952, 23058, 16955, 30050, 17521, 17473, 16641, 17589, 18462, 21958, 18707, 16395, 17027, 18365, 16741, 16604, 16894, 17491, 64475, 16672, 16698, 19610, 16900, 16604, 16391, 16893, 17600, 20183, 16392, 16395, 16674, 16647, 23526, 17565, 19240, 16466, 16604, 16391, 16894, 16473, 18339, 16671, 16703, 38555, 16900, 16392, 16397, 18708, 18379, 16641, 17009, 20934, 18089, 17415, 48148, 16674, 21654, 16642, 16604, 16391, 17347, 42363, 16700, 24011, 16392, 16395, 16647, 18696, 17913, 16672, 16702, 16821, 17000, 17187, 19117, 56994, 33400, 16647, 18198, 33206, 52927, 23867, 26478, 28116, 16672, 19196, 16604, 16401, 16399, 16400, 16403, 16395, 16674, 16647, 17009, 25332, 16767, 41354, 16396, 16419, 16866, 16396, 20501, 16396, 35713, 16659, 16395, 21370, 16944, 16647, 20667, 17995, 19296, 41390, 16671, 18322, 20960, 19191, 16604, 16401, 16399, 16400, 16405, 16397, 16582, 16582, 17071, 16811, 20409, 16395, 16728, 16763, 16804, 24550, 16721, 17014, 16647, 17995, 50789, 16647, 17731, 16673, 22997, 16671, 21756, 17285, 16647, 18952, 40288, 17560, 16647, 19440, 31939, 16709, 21531, 17928, 16604, 16391, 58573, 16604, 16401, 16400, 16392, 16672, 22388, 20227, 16709, 19196, 16604, 16402, 16399, 16395, 16604, 16401, 16399, 16400, 16404, 16395, 16742, 19728, 16671, 17391, 16647, 24058, 16671, 17358, 16472, 17007, 16397, 16772, 51257, 16734, 16647, 19117, 16721, 18200, 17617, 16767, 26582, 16774, 17126, 52927, 26556, 48118, 16647, 17386, 17329, 16647, 20994, 16673, 16647, 40853, 16604, 16401, 16400, 16958, 16641, 18173, 16467, 20342, 16673, 17016, 16763, 16671, 19947, 24468, 16709, 17310, 24058, 17589, 18355, 18242, 16397, 16582, 16582, 19315, 16811, 24631, 17818, 16647, 20667, 17995, 25292, 16667, 17223, 31219, 16767, 16647, 20227, 16673, 16604, 16401, 16399, 16400, 16405, 16397, 21656, 29735, 16763, 18229, 16410, 17047, 37008, 17073, 21778, 16395, 20187, 50159, 16809, 16647, 33654, 16864, 57652, 16666, 16674, 17573, 22972, 26908, 16673, 16647, 20839, 16604, 16894, 22949, 16456, 21589, 31433, 16397, 16900, 18523, 16395, 17087, 19953, 16671, 19072, 16647, 19799, 45673, 16721, 20440, 16647, 19440, 19144, 22320, 16673, 16604, 16401, 16399, 16399, 16407, 16674, 16671, 17754, 25936, 29062, 17274, 16741, 25428, 29946, 20627, 16395, 18819, 57875, 29179, 30074, 25330, 16671, 51151, 17356, 16888, 36844, 16809, 49635, 17892, 17805, 16888, 33456, 16709, 19557, 16604, 16401, 16399, 16400, 16405, 16397, 16711, 17589, 17897, 18242, 16395, 18101, 16755, 16707, 18946, 25988, 16680, 16755, 16395, 16647, 25169, 25563, 21030, 16673, 24786, 16395, 20905, 16647, 17995, 16743, 16466, 17009, 16985, 22735, 16741, 16641, 17210, 16671, 29202, 23428, 16674, 23113, 19799, 23553, 16397, 26274, 16811, 50734, 16395, 16728, 16763, 18994, 16671, 17134, 16721, 16647, 20618, 24431, 16673, 16647, 17780, 16763, 16671, 29202, 22469, 29636, 16767, 16647, 28144, 16673, 20676, 16743, 19503, 16397, 16875, 16641, 63731, 16395, 16811, 17780, 16961, 17190, 18055, 19527, 16922, 22013, 25492, 17032, 16873, 18022, 16769, 16397, 16582, 16582, 51719, 17135, 16647, 22735, 16763, 20085, 16395, 16991, 17047, 18358, 35793, 19310, 19565, 18693, 22733, 21259, 29310, 16671, 17430, 16641, 27182, 17647, 16647, 17780, 16397, 30485, 16395, 16991, 26883, 19318, 43044, 16671, 17047, 16671, 17391, 16647, 24058, 16674, 16854, 16709, 24450, 16397, 24161, 16809, 17687, 16395, 16977, 21584, 21927, 17213, 21065, 18015, 16641, 18982, 17386, 16673, 18865, 17647, 16647, 22079, 16456, 19163, 16469, 17034, 16763, 23120, 16715, 20354, 16395, 18810, 16604, 16408, 16397, 26682, 24415, 19224, 17132, 16804, 17137, 16671, 17391, 17015, 16672, 16811, 17386, 16673, 18865, 16395, 16741, 16873, 16958, 16804, 18860, 16647, 17322, 16397, 18523, 16395, 17135, 36535, 16721, 16873, 16958, 23087, 22645, 18493, 16914, 29779, 16741, 22652, 19972, 24415, 17523, 19728, 16671, 21108, 16647, 18982, 34813, 16741, 20470, 16395, 16991, 18166, 19972, 32814, 16604, 16391, 25784, 16647, 16719, 31488, 16395, 30580, 16395, 38947, 31631, 16395, 16674, 16773, 22173, 16392, 19728, 16767, 16647, 17367, 22245, 16671, 21004, 16647, 54304, 16397, 16582, 16582, 17507, 16395, 17441, 16395, 19728, 16671, 23765, 16672, 16647, 18865, 16397, 17403, 16742, 17132, 16804, 17391, 16647, 24058, 17172, 16742, 16958, 25359, 16671, 16811, 18462, 17780, 16785, 18612, 16641, 17607, 16917, 16397, 31238, 16395, 16742, 18167, 17172, 16742, 18328, 35833, 16674, 16985, 19302, 16671, 16703, 33833, 55065, 16395, 28739, 17160, 16395, 16674, 46279, 16802, 16671, 17038, 18147, 16674, 42162, 21982, 16725, 16397, 17813, 16647, 48642, 16673, 16647, 17092, 18982, 35793, 17873, 16395, 16742, 16955, 17028, 18479, 16721, 17213, 21065, 16961, 17474, 16671, 17910, 26416, 18355, 16673, 35793, 17873, 16397, 16582, 16582, 29414, 16604, 16408, 16395, 16604, 16401, 16399, 16400, 16405, 16397, 16582, 16582, 16434, 29024, 16647, 17227, 21110, 16673, 22513, 25942, 16582, 16582, 29414, 16604, 16408, 16395, 16604, 16401, 16399, 16400, 16405, 16604, 17064, 28235, 16672, 16647, 19571, 16395, 18095, 19728, 16671, 19623, 18291, 16671, 16914, 17362, 20155, 16397, 30485, 16395, 16672, 18295, 26441, 16395, 18095, 16958, 28765, 16671, 24005, 16914, 55069, 16715, 16647, 23154, 29287, 16397, 30382, 16721, 19571, 16395, 23084, 16673, 18095, 16674, 30757, 22802, 17825, 16767, 26582, 16774, 17126, 28618, 16671, 26157, 17714, 16998, 19052, 26049, 16964, 16395, 18952, 21584, 16395, 16785, 19972, 32814, 16397, 35591, 21483, 16673, 16641, 32185, 18229, 19117, 21057, 16395, 16811, 18122, 17585, 16673, 17047, 18200, 16647, 24058, 16395, 33210, 22008, 16674, 27953, 17913, 19610, 16674, 23012, 36004, 16767, 16641, 34783, 16743, 16466, 23125, 16397, 17170, 23895, 16991, 22381, 16671, 18322, 24515, 18841, 20443, 31665, 16674, 24231, 16674, 64802, 16647, 24912, 16673, 18155, 19592, 23382, 16395, 17446, 22510, 16674, 20597, 23445, 16395, 16674, 23530, 16395, 16804, 16671, 19344, 22580, 24683, 16674, 27531, 16397, 16582, 16582, 17635, 20726, 17714, 59404, 16715, 16922, 17032, 16604, 16402, 16399, 19109, 18015, 16742, 21339, 26582, 16774, 17126, 43407, 19012, 16397, 17664, 16395, 18295, 43345, 18891, 16673, 41393, 19117, 16604, 16391, 16418, 23610, 16674, 16398, 16658, 33070, 16659, 35173, 19610, 16392, 16958, 33210, 16647, 17154, 17815, 18291, 16671, 16647, 19685, 18815, 21186, 16674, 23382, 16673, 26631, 22388, 16397, 19214, 17047, 27767, 17913, 19610, 16767, 16647, 19117, 16741, 16641, 44444, 16859, 16647, 17745, 16673, 16907, 17120, 19072, 17038, 29287, 18184, 17653, 16819, 22616, 16665, 43879, 40183, 16397, 34316, 16395, 16994, 17329, 16742, 21339, 16641, 24505, 16721, 16961, 16807, 17474, 16671, 17653, 20991, 16673, 22388, 16395, 18295, 41393, 19117, 61231, 16674, 16914, 23044, 30404, 17038, 19007, 16397, 17170, 24228, 21999, 17038, 20246, 16395, 16741, 16991, 18095, 17939, 16647, 18865, 16672, 17970, 16671, 19825, 45168, 16397, 16772, 19571, 20982, 16672, 16641, 19713, 16674, 27029, 17546, 16395, 16741, 17785, 19318, 16673, 33880, 23210, 17181, 16647, 24249, 24058, 16673, 16647, 25819, 19922, 20991, 16671, 19825, 19117, 18123, 16674, 21167, 16397, 16582, 16582, 18867, 23154, 16395, 17047, 22802, 17825, 16767, 26582, 16774, 17126, 52927, 26556, 48118, 16715, 16647, 18952, 34813, 16397, 18196, 16742, 22841, 16709, 18758, 16395, 16728, 16763, 16641, 17369, 26127, 16671, 17134, 16647, 23110, 16674, 17073, 37663, 17769, 16673, 17047, 16397, 17119, 16958, 22924, 16671, 17134, 16859, 17259, 17047, 28765, 16672, 16647, 24058, 17131, 16647, 17731, 16673, 22997, 16395, 22438, 16721, 17589, 18355, 17329, 16395, 17560, 16647, 40853, 16604, 16401, 16400, 16395, 17097, 16641, 17589, 24658, 17047, 16955, 27370, 16767, 26582, 16774, 17126, 52927, 26556, 48118, 16397, 16582, 16582, 19231, 16647, 20227, 16673, 16647, 22210, 16395, 17624, 18358, 16671, 18881, 21663, 16721, 16667, 38710, 17585, 16961, 17510, 23261, 16672, 16647, 20231, 16673, 16647, 19972, 32814, 16674, 18952, 21584, 16397, 17170, 25016, 16647, 40510, 16673, 16641, 18122, 17585, 16673, 20470, 16815, 17476, 35566, 16604, 16391, 16657, 17300, 17523, 16395, 16984, 16744, 64832, 16398, 24512, 39765, 16720, 64832, 16395, 17399, 48547, 17523, 16395, 18241, 16736, 20216, 17523, 16395, 19104, 16397, 16392, 16721, 18242, 18112, 16671, 16703, 18365, 16741, 16647, 16604, 16894, 16450, 16800, 64328, 18251, 16645, 16838, 16900, 16604, 16391, 16894, 18081, 34269, 56224, 16900, 16392, 16785, 16604, 16894, 16450, 16800, 64328, 16774, 16640, 51814, 16900, 16604, 16391, 16894, 30776, 56224, 16900, 16392, 16397, 16582, 16582, 17894, 17560, 16647, 19571, 18865, 16395, 17047, 17989, 16647, 38710, 17585, 18358, 30634, 18166, 32741, 16673, 35833, 16410, 16811, 20726, 16815, 52927, 26556, 48118, 16671, 28618, 16397, 23882, 16395, 17155, 18494, 17433, 20878, 16395, 19694, 16395, 16674, 17446, 22510, 16785, 20597, 21912, 18831, 17073, 54876, 17077, 49528, 16674, 29884, 16397, 21604 ]
[ 0, 16398, 16393, 16394, 16394, 16585, 16582, 16585, 16582, 16696, 35839, 16604, 16391, 16450, 16392, 23632, 23813, 16397, 17958, 19503, 28946, 16397, 16585, 16582, 16696, 50148, 25639, 17131, 16647, 39086, 23949, 16397, 16585, 16582, 16585, 16582, 30105, 25537, 16409, 16585, 16582, 16585, 16582, 16696, 16419, 49026, 16446, 16423, 16699, 27318, 16925, 36085, 18129, 40965, 16397, 16450, 16585, 16582, 16585, 16582, 24274, 16409, 16585, 16582, 16585, 16582, 16696, 34087, 16715, 32852, 16604, 16391, 33274, 16395, 33711, 16394, 16674, 33711, 16396, 16392, 19565, 16965, 16455, 16453, 16397, 16585, 16582, 16585, 16582, 37175, 16409, 16585, 16582, 16585, 16582, 16696, 16426, 31214, 16396, 29936, 41124, 41274, 16585, 16582, 16696, 23521, 16396, 29936, 41124, 41274, 16585, 16582, 16585, 16582, 16396, 16396, 16393, 16398, 16585, 16582, 16585, 16582, 16398, 16398, 30219, 16421, 16674, 16811, 48830, 16390, 16466, 23901, 18462, 35083, 16397, 16585, 16582, 16398, 16398, 16585, 16582, 16386, 23180, 16604, 16385, 16419, 49026, 30105, 16397, 16455, 16385, 16585, 16582, 16386, 23180, 16604, 16385, 16419, 49026, 20482, 18699, 16397, 43255, 16397, 16455, 16385, 16585, 16582, 16386, 23180, 16604, 16385, 16419, 49026, 20482, 18699, 16397, 43255, 16397, 38936, 16397, 16455, 16385, 16585, 16582, 16585, 16582, 16386, 16736, 21365, 16391, 33021, 16421, 16446, 17681, 22695, 16436, 22370, 16446, 33621, 16423, 16392, 16585, 16582, 16386, 23180, 16604, 16385, 16419, 49026, 16446, 16423, 16699, 27318, 16925, 36085, 18129, 40965, 16397, 40127, 16455, 16385, 16585, 16582, 16386, 31317, 16585, 16582, 16585, 16582, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16585, 16582, 16398, 16398, 48830, 29363, 17973, 22080, 16964, 16674, 43341, 17342, 16585, 16582, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16585, 16582, 16398, 16398, 16585, 16582, 16585, 16582, 16398, 16398, 43732, 17141, 19495, 45804, 16903, 16674, 17285, 29524, 21365, 16809, 16907, 16449, 43324, 18603, 19181, 16604, 16386, 16403, 16400, 16397, 16585, 16582, 16398, 16398, 20782, 16409, 16398, 16398, 18409, 16397, 16730, 16449, 16397, 18431, 16398, 52654, 16398, 22449, 16398, 30516, 16398, 16455, 16698, 29250, 16403, 16400, 16446, 16399, 16397, 26338, 16585, 16582, 16398, 16398, 16585, 16582, 16386, 26912, 40277, 58312, 16446, 48420, 16427, 28858, 16446, 26062, 28858, 54571, 16446, 17681, 42477, 27630, 16696, 16399, 16471, 16405, 16421, 16585, 16582, 16386, 26912, 40277, 58312, 16446, 48420, 16427, 28858, 16446, 26062, 28858, 54571, 16446, 47329, 17879, 27630, 16696, 16399, 16471, 16406, 16399, 16585, 16582, 16585, 16582, 16398, 16398, 16772, 43289, 21869, 20189, 17405, 16715, 16647, 17486, 16751, 18320, 19729, 16585, 16582, 16398, 16398, 54058, 16409, 16772, 20492, 19101, 16673, 16811, 20189, 17724, 19644, 20001, 16734, 16647, 16585, 16582, 16398, 16398, 16696, 16650, 24284, 55128, 19057, 16397, 16585, 16582, 16398, 16398, 16585, 16582, 16386, 23180, 16604, 16411, 16463, 17258, 20977, 16400, 16397, 16455, 16413, 16585, 16582, 59324, 18735, 16604, 16446, 49128, 31470, 16434, 16446, 17681, 43706, 16446, 17879, 33543, 16585, 16582, 16474, 16585, 16582, 16696, 16436, 51127, 21869, 19157, 16410, 16585, 16582, 16585, 16582, 16696, 39257, 16585, 16582, 16696, 16474, 16585, 16582, 16696, 16696, 33961, 17401, 22046, 16410, 16585, 16582, 16585, 16582, 16696, 16696, 22957, 16585, 16582, 16696, 16696, 16474, 16585, 16582, 16696, 16696, 16696, 33961, 17401, 23276, 16604, 16409, 16604, 16400, 16410, 16585, 16582, 16696, 16696, 16696, 33961, 17401, 22496, 16604, 16409, 16604, 16400, 16410, 16585, 16582, 16696, 16696, 16696, 33961, 17401, 33711, 20999, 16604, 16409, 16604, 16400, 16410, 16585, 16582, 16696, 16696, 16696, 33961, 17401, 33711, 25408, 16604, 16409, 16604, 16400, 16410, 16585, 16582, 16696, 16696, 16696, 33961, 17401, 30517, 16725, 34680, 16604, 16409, 16604, 16400, 16410, 16585, 16582, 16696, 16696, 16476, 17403, 40965, 16410, 16585, 16582, 16696, 16476, 18923, 16410, 16585, 16582, 16476, 38937, 31470, 16434, 16446, 17681, 43706, 16446, 17879, 33543, 16410, 16585, 16582, 16585, 16582, 16398, 16398, 38201, 16672, 33538, 16734, 33603, 26742, 19242, 16671, 20520, 18940, 27240, 16671, 16647, 26559, 16397, 16585, 16582, 16398, 16398, 16585, 16582, 59324, 18735, 16585, 16582, 16474, 16585, 16582, 16696, 16436, 51127, 21869, 19157, 16410, 16585, 16582, 16696, 33961, 18187, 21875, 20921, 16410, 16585, 16582, 16476, 38937, 31470, 16434, 16446, 16423, 18957, 33369, 16446, 17681, 43706, 16446, 17879, 33543, 16410, 16585, 16582, 16585, 16582, 16386, 23180, 16604, 16411, 24014, 20977, 16397, 16455, 16413, 16585, 16582, 16585, 16582, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16585, 16582, 16398, 16398, 48830, 29363, 43892, 16585, 16582, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16585, 16582, 16398, 16398, 16585, 16582, 16585, 16582, 59324, 18735, 16604, 16446, 33021, 16421, 16446, 25859, 41781, 16446, 16423, 16699, 27318, 16925, 36085, 18129, 40965, 16585, 16582, 16474, 16585, 16582, 16696, 16398, 16398, 43028, 16715, 22402, 26046, 16715, 16751, 18320, 16397, 16585, 16582, 16696, 16398, 16398, 16585, 16582, 16696, 33021, 34492, 19926, 45962, 16759, 49026, 30105, 44085, 16423, 16699, 36085, 16437, 16455, 16453, 16410, 16585, 16582, 16696, 16398, 16398, 16999, 16704, 16647, 17788, 17731, 16673, 16858, 16647, 32852, 16397, 16585, 16582, 16696, 16398, 16398, 16585, 16582, 16696, 16423, 18320, 16446, 16439, 48062, 16446, 16431, 25766, 19093, 16965, 16455, 16453, 16423, 16699, 29969, 16410, 16585, 16582, 16696, 16398, 16398, 31909, 17731, 16673, 23408, 56428, 16397, 24695, 16721, 16811, 24579, 36804, 16582, 16696, 16398, 16398, 23382, 17731, 16673, 19705, 32852, 16859, 16721, 35240, 16673, 32852, 16585, 16582, 16696, 16398, 16398, 16843, 16703, 32037, 16767, 16647, 17396, 17005, 16397, 16585, 16582, 16696, 16398, 16398, 16585, 16582, 16696, 49128, 31470, 16434, 16446, 17681, 43706, 16446, 17879, 33543, 43289, 29969, 26249, 21574, 16410, 16585, 16582, 16696, 16398, 16398, 17973, 21343, 16398, 41862, 17731, 16673, 32852, 16397, 17403, 40965, 16843, 16703, 29043, 16398, 41862, 16585, 16582, 16696, 16398, 16398, 16809, 18846, 27440, 16397, 17170, 24579, 35149, 16647, 29043, 16398, 41862, 16585, 16582, 16696, 16398, 16398, 17731, 16673, 17492, 23408, 16397, 16585, 16582, 16696, 16398, 16398, 16585, 16582, 16696, 49128, 31470, 16434, 16446, 17681, 43706, 16446, 17879, 33543, 43289, 29969, 34636, 21574, 16410, 16585, 16582, 16476, 30219, 16421, 16446, 25859, 41781, 16446, 16423, 16699, 27318, 16925, 36085, 18129, 40965, 16410, 16585, 16582, 16585, 16582, 16398, 16398, 17170, 35643, 48475, 16647, 18211, 17917, 16409, 16585, 16582, 16398, 16398, 30219, 16421, 16446, 25859, 41781, 16446, 30157, 16391, 16392, 16585, 16582, 16398, 16398, 16585, 16582, 33021, 16421, 16446, 57339, 16446, 47329, 21759, 17879, 16446, 25859, 41781, 16391, 16423, 16699, 27318, 16925, 36085, 18129, 40965, 16392, 16585, 16582, 16585, 16582, 16398, 16398, 17170, 35643, 48475, 16647, 18211, 17917, 16409, 16585, 16582, 16398, 16398, 30219, 16421, 16446, 55119, 16446, 30157, 16391, 16392, 16585, 16582, 16398, 16398, 16585, 16582, 33021, 16421, 16446, 57339, 16446, 47329, 21759, 17879, 16446, 55119, 16391, 16423, 16699, 27318, 16925, 36085, 18129, 40965, 16392, 16585, 16582, 16585, 16582, 16398, 16398, 37539, 27067, 16397, 16585, 16582, 16398, 16398, 16585, 16582, 16386, 26912, 37539, 27067, 16604, 16390, 16417, 24841, 16423, 16390, 16585, 16582, 16585, 16582, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16585, 16582, 16398, 16398, 30219, 16421, 48830, 25440, 24245, 16585, 16582, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16398, 16585, 16582, 16398, 16398, 16585, 16582, 16585, 16582, 16398, 16398, 27928, 16673, 35936, 39319, 23408, 56428, 16715, 17492, 23408, 16397, 16585, 16582, 16398, 16398, 16585, 16582, 16386, 26912, 16751, 16699, 27318, 16925, 36085, 18129, 40965, 16446, 26249, 31876, 16659, 16696, 16696, 16604, 16400, 16399, 16585, 16582, 16585, 16582, 16398, 16398, 16585, 16582, 16398, 16398, 17170, 16751, 18320, 21869, 19390, 33152, 25684, 16641, 16604, 16400, 16396, 28398, 20820, 17556, 16715, 16647, 16604, 16404, 16585, 16582, 16398, 16398, 32852, 22148, 16709, 23276, 16604, 16400, 16399, 16715, 32493, 43150, 16604, 16391, 21475, 16395, 17359, 16395, 16674, 32465, 16392, 16397, 28671, 16769, 16647, 32852, 16674, 16585, 16582, 16398, 16398, 16914, 18064, 22741, 16672, 16647, 20820, 17556, 16409, 16585, 16582, 16398, 16398, 16696, 26608, 16604, 16399, 16604, 16396, 23276, 16398, 21475, 48714, 16604, 16391, 18495, 18406, 16392, 16585, 16582, 16398, 16398, 16696, 26608, 16604, 16400, 16604, 16396, 22496, 48714, 16585, 16582, 16398, 16398, 16696, 26608, 16604, 16401, 16604, 16396, 33711, 20305, 48714, 16585, 16582, 16398, 16398, 16696, 26608, 16604, 16402, 16604, 16396, 33711, 22870, 48714, 16585, 16582, 16398, 16398, 16696, 26608, 16604, 16403, 16604, 16396, 30517, 16725, 31536, 22550, 17618, 22088, 16604, 16391, 18495, 18406, 16392, 16585, 16582, 16398, 16398, 16696, 26608, 16604, 16404, 16604, 16396, 17144, 18406, 16585, 16582, 16398, 16398, 16696, 26608, 16604, 16405, 16604, 16396, 17144, 18406, 16585, 16582, 16398, 16398, 16696, 26608, 16604, 16406, 16604, 16396, 17144, 18406, 16585, 16582, 16398, 16398, 16585, 16582, 16398, 16398, 16772, 21869, 19390, 33152, 17027, 33763, 16641, 16604, 16400, 16396, 28398, 24775, 17973, 16925, 16398, 21466, 16925, 16585, 16582, 16398, 16398, 20732, 17556, 16673, 16647, 17396, 19101, 16674, 18064, 22741, 16741, 16647, 43289, 21869, 16397, 16585, 16582, 16398, 16398, 17544, 16641, 20339, 45934, 21869, 16395, 17492, 18064, 16672, 16647, 17556, 35022, 17129, 18515, 16647, 16585, 16582, 16398, 16398, 24284, 24775, 16604, 16391, 16456, 16397, 16452, 16397, 23408, 16392, 16704, 19333, 17973, 21343, 16604, 16391, 16400, 16392, 16785, 16585, 16582, 16398, 16398, 19203, 21343, 16604, 16391, 16399, 16392, 16397, 17544, 16641, 23612, 45934, 21869, 16395, 17492, 18064, 16672, 16647, 17556, 35022, 17129, 16585, 16582, 16398, 16398, 18515, 16647, 24284, 24775, 16604, 16391, 16456, 16397, 16452, 16397, 23408, 16392, 17208, 16703, 17973, 21343, 16604, 16391, 16400, 16392, 16585, 16582, 16398, 16398, 16785, 19203, 21343, 16604, 16391, 16399, 16392, 16397, 16585, 16582, 16398, 16398, 16585 ]
[ 0, 19315, 17586, 16769, 27297, 16809, 16647, 29503, 22046, 19665, 16604, 16391, 16411, 19597, 16409, 16398, 16398, 19280, 19665, 16397, 24743, 25580, 16397, 23927, 16398, 58588, 16397, 16471, 20813, 16414, 24174, 24825, 19157, 16412, 38943, 16409, 16400, 16399, 16397, 16406, 16408, 16400, 16399, 16398, 16419, 16437, 16429, 16398, 16423, 16441, 16419, 16432, 16406, 16399, 16413, 16392, 16397, 22046, 16769, 17027, 27297, 16767, 30784, 22777, 16604, 16391, 16411, 19020, 16409, 16398, 16398, 17404, 16765, 16649, 16397, 16729, 16755, 16397, 18431, 16398, 62749, 30390, 16398, 22124, 16398, 26939, 19871, 16397, 22124, 16413, 16392, 17131, 21870, 21708, 16409, 16604, 16408, 16407, 16397, 16582, 16582, 38194, 16604, 16474, 16386, 19810, 16399, 16399, 16400, 16476, 16582, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16582, 16582, 16433, 16880, 16604, 16393, 16391, 16430, 16881, 19657, 19416, 25227, 16393, 16790, 16397, 16393, 16392, 16393, 16704, 16917, 16673, 16647, 17154, 17889, 18308, 33099, 16741, 16728, 16704, 34204, 16809, 16922, 17032, 18519, 16673, 16647, 17394, 16390, 16466, 19971, 16604, 16443, 16442, 16442, 16415, 16463, 16877, 16397, 16399, 16400, 16404, 16399, 16402, 16403, 16404, 16397, 18452, 16399, 16399, 16400, 16444, 16443, 16444, 16397, 26274, 17073, 22228, 16395, 16647, 19440, 28582, 17869, 16704, 19570, 16641, 16604, 16385, 56745, 16385, 17869, 16410, 16728, 16704, 20349, 24653, 16665, 17172, 28582, 23522, 16807, 17238, 18462, 34365, 16604, 16443, 16442, 16442, 16415, 16463, 16877, 16397, 16399, 16400, 16404, 16399, 16402, 16403, 16404, 16397, 18452, 16399, 16399, 16401, 16444, 16443, 16444, 16397, 16772, 23208, 16673, 16604, 16385, 47639, 17997, 16396, 29606, 16385, 28582, 16704, 23971, 27158, 16709, 16647, 55705, 20409, 16673, 23522, 16395, 16734, 17586, 27742, 16721, 17199, 19251, 20638, 21494, 16769, 24280, 25122, 16673, 18308, 18950, 16604, 16443, 16442, 16442, 16415, 16463, 16877, 16397, 16399, 16400, 16404, 16399, 16402, 16403, 16404, 16397, 18452, 16399, 16399, 16402, 16444, 16396, 16396, 16442, 16415, 16463, 16877, 16397, 16399, 16400, 16404, 16399, 16402, 16403, 16404, 16397, 18452, 16399, 16399, 16405, 16444, 16443, 16444, 16397, 16582, 16582, 16433, 16880, 18950, 16704, 38182, 18138, 16709, 29939, 16395, 16944, 17120, 16703, 30103, 18295, 19223, 16397, 26021, 24319, 17120, 18422, 16703, 16604, 16393, 16974, 16465, 36977, 16393, 16395, 17274, 16741, 23904, 16395, 33468, 16395, 16785, 20241, 16410, 16785, 16604, 16393, 18770, 16465, 36977, 16393, 16671, 16647, 17918, 16395, 17274, 16741, 32538, 16395, 20398, 16395, 16785, 22451, 16397, 23638, 30111, 30981, 26103, 22227, 17415, 16604, 16393, 24953, 16393, 16395, 16604, 16393, 57579, 16393, 16395, 16674, 16604, 16393, 45739, 16983, 16393, 29939, 16397, 28461, 29939, 16769, 18125, 16715, 17918, 25416, 17329, 21593, 16395, 17274, 16741, 18787, 16395, 23419, 16395, 20398, 16395, 16674, 32538, 16397, 31612, 29939, 16843, 16703, 29054, 17097, 19028, 17918, 18019, 16395, 20781, 17135, 21593, 16785, 17918, 17231, 16396, 16396, 16396, 65171, 16769, 23904, 16395, 33468, 16395, 27156, 16673, 27202, 16395, 16674, 43246, 21672, 16397, 42752, 16983, 29939, 16769, 29939, 16721, 23522, 19108, 26828, 16785, 32011, 19172, 16397, 23702, 16395, 16873, 26630, 16709, 17047, 16785, 23145, 16395, 17274, 16741, 17995, 24758, 16785, 18797, 21144, 16397, 21388, 29889, 27264, 16671, 19378, 16395, 22402, 16395, 16674, 17918, 28565, 16769, 23850, 22879, 16673, 16647, 18935, 16983, 16396, 18926, 29939, 16604, 16443, 16442, 16442, 16415, 16463, 16877, 16397, 16399, 16400, 16404, 16399, 16402, 16403, 16404, 16397, 18452, 16399, 16399, 16406, 16444, 16443, 16444, 16397, 16875, 16811, 19420, 16395, 16742, 16868, 18314, 16709, 16604, 16393, 16974, 16465, 36977, 19514, 16393, 16674, 16604, 16393, 57579, 16393, 29939, 16395, 17274, 16741, 22065, 16674, 18567, 19689, 30448, 30920, 21454, 16397, 16999, 16704, 27641, 16721, 30742, 17274, 21454, 54031, 16704, 18882, 16604, 16443, 16442, 16442, 16415, 16463, 16877, 16397, 16399, 16400, 16404, 16399, 16402, 16403, 16404, 16397, 18452, 16399, 16399, 16407, 16444, 16443, 16444, 16850, 22439, 17362, 16396, 26514, 17781, 24941, 20625, 16807, 16992, 20140, 16671, 19572, 27615, 16673, 16641, 17679, 16673, 28582, 18950, 23239, 16397, 16582, 16582, 45855, 24319, 16673, 28582, 41118, 16769, 17889, 16604, 16393, 24953, 16393, 29939, 16721, 19291, 23522, 16390, 28337, 21778, 16674, 27626, 16769, 17405, 16741, 16991, 16673, 16647, 17092, 22525, 25145, 16672, 17764, 30024, 24206, 19784, 16604, 16443, 16442, 16442, 16415, 16463, 16877, 16397, 16399, 16400, 16404, 16399, 16402, 16403, 16404, 16397, 18452, 16399, 16399, 16408, 16444, 16396, 16396, 16442, 16415, 16463, 16877, 16397, 16399, 16400, 16404, 16399, 16402, 16403, 16404, 16397, 18452, 16399, 16400, 16400, 16444, 16443, 16444, 16397, 16796, 18420, 19101, 16704, 23693, 18138, 16709, 16647, 20570, 16397, 17813, 16647, 16977, 17459, 16395, 30920, 22005, 16704, 18138, 16709, 20570, 16396, 16928, 16396, 21660, 21844, 16604, 16443, 16442, 16442, 16415, 16463, 16877, 16397, 16399, 16400, 16404, 16399, 16402, 16403, 16404, 16397, 18452, 16399, 16400, 16399, 16444, 16443, 16444, 16397, 16772, 30981, 16673, 28582, 23375, 18138, 16709, 19101, 16674, 22005, 16704, 16804, 39233, 18325, 17476, 19328, 16674, 17476, 21978, 16604, 16443, 16442, 16442, 16415, 16463, 16877, 16397, 16399, 16400, 16404, 16399, 16402, 16403, 16404, 16397, 18452, 16399, 16400, 16401, 16444, 16396, 16396, 16442, 16415, 16463, 16877, 16397, 16399, 16400, 16404, 16399, 16402, 16403, 16404, 16397, 18452, 16399, 16400, 16403, 16444, 16443, 16444, 16397, 16772, 24941, 30981, 17434, 17405, 16809, 16647, 19639, 35185, 20468, 21054, 16604, 16391, 20678, 22777, 16392, 36065, 19784, 16704, 16741, 21983, 16409, 18187, 16604, 16391, 44438, 16481, 16604, 16404, 16397, 16404, 16399, 25737, 16392, 16395, 22767, 16398, 19595, 28498, 16604, 16391, 16404, 16397, 16404, 16400, 16396, 16396, 16405, 16397, 16405, 16399, 25737, 16392, 16395, 17301, 16604, 16391, 16405, 16397, 16405, 16400, 16396, 16396, 16406, 16397, 16404, 16399, 25737, 16392, 16395, 16674, 17238, 17301, 16604, 16391, 16443, 16413, 16604, 16406, 16397, 16404, 16399, 25737, 16392, 16397, 16772, 30920, 31991, 16673, 28582, 16395, 41023, 16395, 16843, 16703, 20101, 18138, 16709, 16647, 24941, 18020, 32978, 17405, 16672, 30784, 22777, 16409, 29032, 16604, 16391, 44438, 16481, 16604, 16401, 16397, 16399, 16392, 16395, 22767, 16604, 16391, 16401, 16397, 16400, 16396, 16396, 16402, 16397, 16399, 16392, 16395, 16674, 60783, 16604, 16391, 16443, 16413, 16604, 16402, 16397, 16399, 16392, 16604, 16443, 16442, 16442, 16415, 16463, 16877, 16397, 16399, 16400, 16404, 16399, 16402, 16403, 16404, 16397, 18452, 16399, 16400, 16403, 16444, 16443, 16444, 16397, 16997, 17340, 16472, 19147, 16672, 28582, 41118, 16396, 16396, 16396, 44167, 61089, 19255, 20049, 16673, 16647, 30920, 16396, 16396, 16396, 16953, 30650, 16395, 20698, 16395, 16671, 18658, 20154, 18950, 16672, 17259, 28582, 17869, 30189, 16674, 20781, 17213, 41118, 39604, 19251, 17869, 21161, 16604, 16443, 16442, 16442, 16415, 16463, 16877, 16397, 16399, 16400, 16404, 16399, 16402, 16403, 16404, 16397, 18452, 16399, 16400, 16404, 16444, 16443, 16444, 16397, 22668, 17407, 16769, 30103, 18138, 16709, 16647, 28167, 16673, 16647, 30920, 16721, 16704, 48712, 16472, 16409, 22087, 16604, 16391, 16399, 16388, 16392, 16395, 17785, 16604, 16391, 16443, 16411, 16604, 16400, 16399, 16388, 16392, 16395, 22767, 16604, 16391, 16400, 16399, 16396, 16396, 16401, 16399, 16388, 16392, 16395, 16674, 18122, 16604, 16391, 16443, 16413, 16604, 16401, 16399, 16388, 16392, 16604, 16443, 16442, 16442, 16415, 16463, 16877, 16397, 16399, 16400, 16404, 16399, 16402, 16403, 16404, 16397, 18452, 16399, 16400, 16403, 16444, 16395, 16442, 16415, 16463, 16877, 16397, 16399, 16400, 16404, 16399, 16402, 16403, 16404, 16397, 18452, 16399, 16400, 16405, 16444, 16443, 16444, 16397, 32694, 24935, 16395, 28582, 30920, 30369, 16958, 23975, 17655, 47461, 60173, 21485, 16756, 16674, 31253, 47723, 16604, 16443, 16442, 16442, 16415, 16463, 16877, 16397, 16399, 16400, 16404, 16399, 16402, 16403, 16404, 16397, 18452, 16399, 16399, 16408, 16444, 16443, 16444, 17437, 22065, 27705, 16809, 16667, 21877, 49065, 16763, 22546, 16671, 21349, 48712, 17365, 16672, 28582, 41118, 16604, 16443, 16442, 16442, 16415, 16463, 16877, 16397, 16399, 16400, 16404, 16399, 16402, 16403, 16404, 16397, 18452, 16399, 16400, 16399, 16444, 16443, 16444, 16397, 25453, 27722, 19223, 16673, 30742, 30920, 30369, 16704, 21800, 17531, 16674, 17005, 16396, 53472, 17437, 22065, 23405, 16673, 48712, 16872, 16991, 20157, 16673, 18910, 19283, 16674, 17257, 16804, 24396, 17187, 16647, 48712, 16472, 22459, 16704, 16672, 16647, 30920, 16604, 16443, 16442, 16442, 16415, 16463, 16877, 16397, 16399, 16400, 16404, 16399, 16402, 16403, 16404, 16397, 18452, 16399, 16400, 16406, 16444, 16443, 16444, 16397, 16582, 16582, 16393, 51292, 16393, 29939, 16395, 17274, 16741, 27202, 16674, 17840, 17877, 30566, 21454, 16673, 28582, 16395, 19291, 16641, 23192, 16390, 16466, 26903, 28337, 20937, 16397, 24586, 23239, 30650, 17154, 17889, 16672, 62581, 16661, 16647, 27202, 16674, 22803, 18950, 16673, 16641, 28582, 20710, 16769, 16409, 21595, 17045, 16472, 18100, 19014, 16604, 16391, 16416, 18513, 16392, 16395, 28170, 34133, 16604, 16391, 28933, 16392, 16395, 16674, 28170, 21990, 17873, 21452, 16604, 16391, 31488, 16392, 16397, 17376, 16711, 18513, 23361, 16395, 35879, 28582, 41118, 20903, 16671, 16703, 24280, 24508, 16604, 16443, 16442, 16442, 16415, 16463, 16877, 16397, 16399, 16400, 16404, 16399, 16402, 16403, 16404, 16397, 18452, 16399, 16400, 16407, 16444, 16443, 16444, 16397, 23432, 16706, 24318, 16734, 56345, 16856, 16604, 16443, 16442, 16442, 16415, 16463, 16877, 16397, 16399, 16400, 16404, 16399, 16402, 16403, 16404, 16397, 18452, 16399, 16400, 16408, 16444, 16396, 16396, 16442, 16415, 16463, 16877, 16397, 16399, 16400, 16404, 16399, 16402, 16403, 16404, 16397, 18452, 16399, 16401, 16400, 16444, 16443, 16444, 21002, 16647, 18197, 16673, 20100, 16715, 30742, 16711, 18513, 21051, 17073, 28334, 16604, 16443, 16442, 16442, 16415, 16463, 16877, 16397, 16399, 16400, 16404, 16399, 16402, 16403, 16404, 16397, 18452, 16399, 16400, 16407, 16444, 16395, 16442, 16415, 16463, 16877, 16397, 16399, 16400, 16404, 16399, 16402, 16403, 16404, 16397, 18452, 16399, 16401, 16401, 16444, 16396, 16396, 16442, 16415, 16463, 16877, 16397, 16399, 16400, 16404, 16399, 16402, 16403, 16404, 16397, 18452, 16399, 16401, 16403, 16444, 16443, 16444, 16674, 16647, 18356, 16673, 17009, 50982, 46818, 16809, 16604, 16443, 16442, 16442, 16415, 16463, 16877, 16397, 16399, 16400, 16404, 16399, 16402, 16403, 16404, 16397, 18452, 16399, 16401, 16404, 16444, 16443, 16444, 16397, 27733, 16709, 16711, 18513, 16395, 28582, 16843, 16703, 49417, 17065, 18514, 64060, 17280, 21494, 16409, 16651, 25963, 16604, 16391, 16399, 16396, 16396, 16401, 16388, 16392, 16395, 17238, 18229, 16604, 16391, 16402, 16396, 16396, 16408, 16388, 16392, 16395, 18229, 16604, 16391, 16400, 16399, 16396, 16396, 16400, 16408, 16388, 16392, 16395, 33656, 16604, 16391, 16401, 16399, 16396, 16396, 16401, 16404, 16388, 16392, 16395, 16674, 17362, 16604, 16391, 16443, 16413, 16604, 16401, 16404, 16388, 16392, 16604, 16443, 16442, 16442, 16415, 16463, 16877, 16397, 16399, 16400, 16404, 16399, 16402, 16403, 16404, 16397, 18452, 16399, 16401, 16405, 16444, 16443, 16444, 20290, 16641, 16922, 18961, 18077, 23649, 16721, 17213, 16711, 18513, 21494, 16843, 18613, 16703, 17242, 16451, 52681, 16604, 16443, 16442, 16442, 16415, 16463, 16877, 16397, 16399, 16400, 16404, 16399, 16402, 16403, 16404, 16397, 18452, 16399, 16401, 16406, 16444, 16443, 16444, 16397, 17664, 16769, 19140, 16672, 16944, 28582, 21024, 16673, 16647, 17396, 16711, 18513, 17568, 16769, 17238, 23674, 16672, 65153, 16397, 16875, 17213, 19140, 16395, 36046, 16704, 17405, 16741, 16641, 40550, 17709, 16715, 20157, 16673, 65153, 19028, 34459, 35148, 16397, 16772, 20625, 16715, 30742, 36046, 16395, 16785, 16647, 65153, 16673, 28582, 19028, 31766, 17135, 17255, 35879, 16395, 16769, 17363, 16672, 24941, 17231, 18120, 23693, 16715, 28582, 36065, 19784, 21882, 16709, 33656, 16396, 16674, 17362, 16396, 16416, 18513, 21024, 16604, 16443, 16442, 16442, 16415, 16463, 16877, 16397, 16399, 16400, 16404, 16399, 16402, 16403, 16404, 16397, 18452, 16399, 16401, 16406, 16444, 16395, 16442, 16415, 16463, 16877, 16397, 16399, 16400, 16404, 16399, 16402, 16403, 16404, 16397, 18452, 16399, 16401, 16407, 16444, 16443, 16444, 17437, 16641, 18197, 16872, 16992, 20140, 16715, 44960, 52521, 28582, 16604, 16443, 16442, 16442, 16415, 16463, 16877, 16397, 16399, 16400, 16404, 16399, 16402, 16403, 16404, 16397, 18452, 16399, 16401, 16408, 16444, 16443, 16444, 16397, 35185, 16843, 16703, 30103, 17065, 17567, 19318, 18138, 16709, 36046, 16409, 17747, 16674, 17238, 17314, 31579, 16604, 16391, 44438, 16481, 16604, 16403, 16399, 25737, 16392, 16395, 22767, 16674, 17314, 31579, 16604, 16391, 16403, 16400, 16396, 16396, 16405, 16399, 25737, 16392, 16395, 16674, 19009, 16604, 16391, 16443, 16413, 16604, 16405, 16400, 25737, 16392, 16604, 16443, 16442, 16442, 16415, 16463, 16877, 16397, 16399, 16400, 16404, 16399, 16402, 16403, 16404, 16397, 18452, 16399, 16400, 16399, 16444, 16443, 16444, 16397, 17813, 16647, 16977, 17459, 16395, 31194, 16704, 19970, 16734, 16647, 27202, 17005, 16673, 28582, 16604, 16443, 16442, 16442, 16415, 16463, 16877, 16397, 16399, 16400, 16404, 16399, 16402, 16403, 16404, 16397, 18452, 16399, 16402, 16399, 16444, 16395, 16442, 16415, 16463, 16877, 16397, 16399, 16400, 16404, 16399, 16402, 16403, 16404, 16397, 18452, 16399, 16402, 16400, 16444, 16443, 16444, 16397, 35185, 16843, 16703, 30103, 18138, 16709, 31194, 16409, 18229, 16604, 16391, 16443, 16411, 16604, 16406, 16399, 21896, 16418, 16392, 16395, 33656, 16604, 16391, 16406, 16399, 16396, 16396, 16406, 16403, 21896, 16418, 16392, 16395, 16674, 17362, 16604, 16391, 16443, 16413, 16604, 16406, 16403, 21896, 16418, 16392, 16604, 16443, 16442, 16442, 16415, 16463, 16877, 16397, 16399, 16400, 16404, 16399, 16402, 16403, 16404, 16397, 18452, 16399, 16402, 16401, 16444, 16443, 16444, 16397, 16772, 32847, 21915, 32161, 17709, 16604, 16443, 16442 ]
[ 0, 17681, 22082, 50397, 19429, 16582, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16582, 16582, 30746, 20595, 16604, 16391, 34948, 16392, 16395, 16672, 16647, 17510, 16673, 42315, 19670, 16675, 16675, 22363, 16396, 16396, 16396, 51043, 23541, 16671, 16741, 19670, 21825, 16674, 17348, 24601, 57754, 16895, 16741, 16759, 34948, 16396, 16396, 16396, 16656, 16667, 60758, 44595, 35035, 16671, 26362, 32791, 16397, 21656, 27793, 17374, 34053, 22089, 16741, 21646, 16741, 26362, 20618, 29719, 16604, 16391, 16442, 16415, 16433, 16400, 16444, 16392, 16674, 16647, 22134, 16673, 23593, 16477, 16401, 16477, 16734, 16647, 25203, 16604, 16391, 16442, 16415, 16433, 16401, 16444, 16392, 16397, 27996, 24294, 16673, 16759, 34948, 27793, 23971, 17539, 16815, 16647, 25043, 16673, 16811, 44595, 16809, 30460, 38267, 16604, 16391, 34295, 16675, 32293, 16392, 16671, 17799, 16914, 25476, 57734, 16673, 18783, 31018, 58365, 16604, 16391, 21371, 16456, 16392, 16395, 16734, 17682, 48838, 41631, 18493, 16647, 17514, 18365, 16674, 56298, 16604, 16391, 16442, 16415, 16433, 16400, 16444, 16395, 16604, 16442, 16415, 16433, 16402, 16444, 16392, 16397, 18523, 16395, 17020, 16882, 16659, 16395, 31405, 16723, 30893, 16395, 19670, 16675, 17663, 36435, 16683, 17099, 16395, 18133, 16657, 17663, 36435, 16683, 17099, 16395, 17709, 16758, 17045, 16462, 17964, 20056, 16395, 16674, 16816, 36406, 55237, 39200, 16395, 18493, 18208, 16395, 17027, 35174, 16759, 34948, 16672, 16647, 26362, 16604, 16391, 16442, 16415, 16433, 16403, 16444, 16392, 16395, 16850, 16914, 19962, 21002, 31416, 56298, 16674, 17687, 23999, 16815, 16641, 40632, 16674, 27732, 22410, 16397, 16875, 16647, 17682, 16649, 20034, 16395, 16647, 65251, 16673, 16759, 34948, 43956, 16807, 16992, 28020, 16672, 16641, 18122, 20710, 16673, 20969, 16395, 16858, 16673, 16944, 16958, 19074, 25241, 16671, 17482, 16641, 34407, 16925, 20513, 16656, 16396, 16428, 16682, 16652, 18528, 16397, 16999, 16704, 17027, 16721, 17310, 34407, 16925, 65251, 23247, 17065, 31407, 18690, 16925, 43956, 17014, 16759, 34948, 27793, 42178, 23361, 16674, 16398, 16658, 17131, 18343, 40632, 19527, 16604, 16391, 16442, 16415, 16433, 16404, 16444, 16395, 16604, 16442, 16415, 16433, 16405, 16444, 16392, 16397, 44312, 16395, 29993, 38309, 17333, 17938, 17500, 16604, 16391, 16434, 18317, 16466, 16392, 41139, 27227, 40270, 16759, 34948, 17065, 16647, 17682, 48838, 18155, 16807, 17301, 16992, 20101, 16674, 16395, 20290, 32803, 17333, 17938, 17500, 16807, 16804, 16992, 21766, 18352, 16395, 16641, 39715, 16396, 19338, 43956, 16872, 16992, 20101, 16715, 16767, 17965, 16991, 17682, 16649, 20034, 16767, 17362, 16759, 34948, 27793, 16604, 16443, 16442, 53421, 16672, 16604, 16391, 16442, 16415, 16433, 16406, 16444, 16392, 16443, 16444, 16397, 16875, 23065, 16395, 17687, 16704, 18365, 16931, 17213, 40632, 16674, 27732, 22089, 16672, 16977, 19318, 16673, 30460, 19670, 16675, 32293, 16397, 20919, 17682, 16649, 20034, 16769, 30014, 16671, 16647, 18345, 16675, 23836, 16673, 16647, 26362, 16395, 16641, 18166, 24721, 16672, 19461, 20192, 16671, 16759, 34948, 41631, 16672, 16647, 19851, 26362, 16809, 17975, 37044, 16701, 37668, 19670, 16675, 32293, 62697, 16397, 16772, 43913, 16721, 24730, 28432, 16964, 16673, 20349, 19670, 16675, 17886, 17020, 16882, 16659, 16769, 18545, 16672, 16647, 19431, 21964, 16604, 16391, 16442, 16415, 16433, 16407, 16444, 16392, 16395, 16721, 16873, 16843, 50266, 26253, 24801, 16673, 34621, 16456, 16767, 16647, 23275, 21434, 16604, 16391, 16442, 16415, 16433, 16408, 16444, 16395, 16604, 16442, 16415, 16433, 16400, 16399, 16444, 16392, 16395, 16674, 16721, 16873, 26421, 18650, 26221, 16673, 34621, 16456, 16815, 16647, 26362, 16604, 16391, 16442, 16415, 16433, 16400, 16400, 16444, 16392, 16807, 21056, 28387, 17654, 16672, 16774, 53411, 16661, 17072, 26149, 16704, 30254, 16672, 17213, 33988, 16395, 61500, 16396, 65147, 16395, 19431, 16396, 26393, 19258, 16397, 16772, 19744, 16673, 19461, 21370, 17213, 22089, 16672, 17020, 16882, 16659, 19333, 33418, 16756, 16647, 19629, 16671, 17967, 16647, 26149, 41631, 16672, 16647, 19851, 26362, 16674, 18199, 16728, 18882, 16671, 18528, 41031, 16647, 18814, 16673, 16647, 26987, 22825, 16672, 16647, 30460, 25069, 55923, 30448, 23093, 16673, 38309, 16604, 16391, 16442, 16415, 16433, 16402, 16444, 16395, 16604, 16442, 16415, 16433, 16400, 16400, 16444, 16392, 16397, 16582, 16582, 35411, 16709, 16647, 55282, 16673, 16759, 34948, 25043, 16809, 17020, 16882, 16659, 16704, 46339, 16674, 26552, 29890, 16815, 35984, 16396, 23162, 20969, 16672, 16647, 17568, 19463, 18131, 16882, 47122, 16397, 18708, 19831, 24396, 20513, 16656, 16396, 16428, 16682, 16652, 65251, 16850, 16734, 29682, 16759, 34948, 25043, 47551, 16767, 21958, 16759, 34948, 29879, 16673, 16604, 16443, 16413, 16400, 16399, 16399, 58753, 16604, 16391, 16442, 16415, 16433, 16400, 16401, 16444, 16396, 16396, 16442, 16415, 16433, 16400, 16405, 16444, 16392, 16397, 20919, 16759, 34948, 29879, 18846, 17032, 16604, 16400, 16399, 16399, 40118, 16428, 16769, 28964, 17579, 21339, 16672, 16647, 35984, 26669, 16673, 16647, 20010, 26362, 16604, 16391, 16442, 16415, 16433, 16400, 16406, 16444, 16392, 16395, 16647, 54260, 19134, 16673, 16858, 35984, 16396, 23162, 17661, 18131, 16882, 16659, 28020, 16671, 19346, 16704, 20821, 33760, 17587, 20236, 16809, 26149, 27793, 16604, 16391, 16442, 16415, 16433, 16400, 16404, 16444, 16395, 16604, 16442, 16415, 16433, 16400, 16405, 16444, 16395, 16604, 16442, 16415, 16433, 16400, 16407, 16444, 16396, 16396, 16442, 16415, 16433, 16401, 16399, 16444, 16392, 16397, 26743, 16811, 48174, 36386, 17027, 27352, 16671, 17020, 16882, 16659, 16672, 16647, 17568, 57851, 16935, 16856, 16683, 19250, 16396, 16396, 16396, 36673, 16396, 26393, 35236, 29781, 16809, 24972, 19670, 16880, 16906, 25476, 57734, 16396, 16396, 16396, 18292, 18025, 24472, 16397, 16772, 55282, 16673, 16759, 34948, 25043, 16674, 16647, 27732, 33582, 16673, 16759, 34948, 43956, 20397, 23971, 16819, 37560, 46357, 16672, 38220, 16935, 16856, 16683, 18145, 16395, 25927, 31093, 16809, 42451, 21972, 16671, 31590, 16672, 34273, 16674, 29105, 51604, 16734, 17274, 22439, 18122, 16674, 37986, 19431, 16396, 26393, 21617, 16397, 34316, 16395, 16647, 17654, 16704, 29148, 16397, 26481, 22383, 16672, 16647, 65251, 16673, 16759, 34948, 41631, 17415, 16647, 17142, 18166, 18089, 17553, 16673, 19670, 16880, 16906, 17020, 16882, 16659, 16604, 16391, 16456, 16397, 16452, 16397, 16395, 19463, 18131, 16882, 47122, 16674, 57851, 16935, 16856, 16683, 19250, 16392, 19108, 16703, 47982, 16395, 16741, 19670, 16675, 18698, 16672, 17661, 18131, 16882, 16659, 57025, 17473, 16647, 19962, 16673, 16647, 31407, 16723, 37878, 19670, 21825, 16642, 36533, 16604, 16391, 16442, 16415, 16433, 16401, 16400, 16444, 16392, 16395, 17437, 16647, 17650, 16672, 38220, 16935, 16856, 16683, 18145, 21438, 16671, 16703, 40912, 16809, 16641, 56639, 38946, 40403, 16395, 52948, 36533, 16395, 21543, 16642, 16604, 16391, 16442, 16415, 16433, 16401, 16401, 16444, 16392, 16397, 16875, 18150, 16395, 17172, 38220, 16935, 16856, 16683, 18145, 16807, 25167, 19793, 17288, 16467, 17002, 20384, 17437, 17661, 18131, 16882, 16659, 16807, 16641, 26086, 31395, 20384, 16395, 16647, 29993, 17333, 17938, 17500, 19423, 16672, 26149, 41631, 17123, 16804, 16703, 21233, 16850, 17123, 16703, 50694, 18462, 19095, 16397, 26378, 17687, 16704, 18365, 16709, 27732, 26149, 20734, 16672, 17661, 18131, 16882, 16659, 16604, 16391, 16442, 16415, 16433, 16401, 16402, 16444, 16395, 16604, 16442, 16415, 16433, 16401, 16403, 16444, 16392, 16674, 18530, 16672, 38220, 16935, 16856, 16683, 18145, 16397, 17170, 19744, 16673, 19461, 30509, 17342, 16647, 20287, 16673, 16647, 23777, 16673, 16647, 40254, 16724, 16675, 18698, 17650, 16672, 16647, 22270, 29326, 16674, 17073, 22144, 16671, 16721, 16672, 16977, 38267, 16397, 16582, 16582, 21055, 16395, 16742, 29781, 59849, 16647, 65251, 16673, 16759, 34948, 25043, 16672, 16647, 38220, 16935, 16856, 16683, 16699, 61500, 16604, 16393, 16437, 17317, 27115, 23326, 16467, 18221, 19904, 16393, 16604, 16391, 26197, 39364, 16395, 16604, 16400, 16407, 16406, 16399, 16392, 16395, 16641, 17053, 24173, 16699, 25956, 16815, 16604, 16443, 16477, 16400, 16399, 16399, 16671, 16604, 16408, 16402, 16404, 16669, 16672, 16647, 42840, 27713, 16721, 21497, 24730, 17334, 16786, 16801, 23189, 28432, 16964, 16709, 16647, 19431, 47229, 34778, 17021, 37429, 49324, 16604, 16391, 16442, 24001, 16397, 16604, 16400, 16416, 16444, 16391, 16386, 16421, 16400, 16392, 16474, 18452, 16396, 18926, 16412, 16385, 19327, 16385, 16476, 16674, 20641, 16397, 16702, 16400, 16392, 16395, 28763, 20242, 16604, 16391, 16442, 16415, 16433, 16401, 16404, 16444, 16392, 16397, 17119, 23679, 16647, 29105, 16396, 19338, 48174, 18528, 16809, 30163, 17073, 33477, 16671, 17490, 16672, 34273, 18638, 22928, 16673, 16759, 34948, 25043, 20627, 17655, 52577, 44615, 16604, 16391, 16442, 24001, 16397, 16604, 16400, 16395, 16738, 16671, 16759, 16444, 16391, 16386, 16421, 16400, 16392, 16474, 18452, 16396, 18926, 16412, 16385, 19327, 16385, 16476, 16395, 16674, 22329, 16702, 16400, 16674, 16702, 16401, 16392, 16674, 20627, 16673, 34621, 16456, 19378, 26552, 16815, 20470, 16673, 16641, 18365, 18702, 23475, 16672, 16647, 20909, 16709, 16667, 29155, 29386, 16604, 16391, 16442, 24001, 16397, 16604, 16400, 16395, 16799, 16674, 16773, 16444, 16391, 16386, 16421, 16400, 16392, 16474, 18452, 16396, 18926, 16412, 16385, 19327, 16385, 16476, 16392, 16397, 16875, 22332, 16734, 17310, 40632, 25717, 16395, 16742, 22546, 16641, 35605, 18122, 16396, 24609, 23405, 16673, 23273, 20825, 16741, 16641, 17917, 16673, 16759, 34948, 27793, 16397, 16772, 18466, 16673, 16811, 18077, 18930, 16641, 20151, 18815, 25659, 16715, 16647, 65251, 16673, 16759, 34948, 41631, 16672, 38220, 16935, 16856, 16683, 18145, 16674, 18288, 21012, 28481, 17065, 16647, 27732, 19258, 16673, 26149, 20734, 16674, 16914, 23777, 17989, 17020, 16882, 16659, 16674, 18325, 16977, 19670, 16675, 20681, 38267, 16397, 16582, 16582, 16384, 16442, 19439, 16750, 17850, 48033, 19001, 22797, 16673, 18676, 16985, 16397, 16443, 16582, 16391, 16393, 16393, 16416, 16393, 16393, 16392, 20405, 18058, 16673, 16647, 51446, 16673, 16604, 16393, 16437, 16397, 23326, 16467, 18221, 19904, 16393, 16672, 16647, 16702, 18559, 16689, 20608, 17778, 32739, 36042, 25411, 16672, 63897, 44572, 16397, 16604, 16391, 16393, 16393, 16417, 16393, 16393, 16392, 17916, 18991, 61500, 28015, 16671, 16647, 21100, 20370, 16673, 16647, 52577, 28694, 16397, 16604, 16391, 16393, 16393, 16418, 16393, 16393, 16392, 17778, 32739, 46698, 16672, 52577, 20666, 16395, 16944, 16704, 17255, 53185, 17909, 16809, 16647, 16778, 20551, 20775, 16715, 33683, 16709, 16647, 16783, 16775, 16665, 16397, 16604, 16391, 16393, 16393, 16419, 16393, 16393, 16392, 19376, 16910, 16725, 20666, 32935, 16709, 16647, 61500, 19453, 16397, 16604, 16391, 16393, 16393, 16420, 16393, 16393, 16392, 21816, 20690, 27913, 60696, 23319, 16604, 16391, 18957, 16429, 16392, 22150, 19365, 16734, 16604, 16393, 16437, 16397, 23326, 16467, 18221, 19904, 16393, 16604, 16391, 21208, 16466, 16392, 33976, 16397, 41246, 18740, 16395, 16604, 16401, 16404, 27844, 16397, 16604, 16391, 16393, 16393, 16421, 16393, 16393, 16392, 36648, 16396, 16825, 16673, 16641, 61500, 39812, 16709, 16647, 22150, 19365, 21317, 17073, 53561, 42053, 34621, 16456, 48658, 16397, 41246, 18740, 16395, 16604, 16400, 27844, 16397, 36527, 16604, 16391, 16416, 16392, 16671, 16604, 16391, 16419, 16392, 16769, 32559, 16815, 22329, 35265, 16674, 30254, 16809, 16727, 16397, 54077, 16645, 19352, 16604, 16391, 21610, 20709, 16396, 23779, 18359, 16392, 16397, 36527, 16604, 16391, 16420, 16392, 16674, 16604, 16391, 16421, 16392, 16958, 18711, 16809, 16727, 16397, 54077, 16645, 19352, 16604, 16391, 21610, 20709, 16396, 23779, 18359, 16392, 16397, 16444, 16391, 26349, 16408, 16402, 16401, 16401, 16396, 16421, 16400, 16392, 16474, 16386, 16421, 16400, 16476, 16582, 16582, 51704, 16427, 21653, 16582, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16582, 16582, 23726, 16661, 16674, 21544, 16647, 55282, 16673, 16759, 34948, 25043, 16582, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16582, 16582, 33900, 17020, 16882, 16659, 16958, 23980, 17655, 16647, 37420, 28601, 21073, 16604, 16391, 16433, 20551, 16392, 47498, 16697, 22851, 16895, 37188, 16715, 27913, 26651, 16604, 16391, 16433, 19989, 19445, 16392, 16674, 18711, 16671, 16647, 29105, 16715, 52577, 16672, 53204, 20209, 16759, 34948, 29879, 16604, 16391, 16400, 16401, 16395, 16604, 16402, 16399, 16395, 16604, 16405, 16399, 16395, 16604, 16400, 16399, 16399, 16395, 16604, 16400, 16404, 16399, 16395, 16604, 16401, 16399, 16399, 16395, 16674, 16604, 16401, 16404, 16399, 58753, 16759, 34948, 16410, 17134, 35703, 16674, 33486, 16392, 16397, 50863, 16395, 16858, 16604, 16400, 16400, 34803, 16665, 20470, 19800, 16914, 16759, 34948, 25043, 18960, 16672, 19208, 16671, 16647, 28803, 19031, 16673, 16759, 34948, 27793, 16672, 16647, 16783, 17431, 17105, 16604, 16391, 16442, 24001, 16397, 16604, 16401, 16395, 16711, 16674, 16738, 16444, 16391, 16386, 16421, 16401, 16392, 16474, 18452, 16396, 18926, 16412, 16385, 19327, 16385, 16476, 16395, 16674, 26321, 16702, 16400, 16674, 16702, 16401, 16392, 16397, 17376, 17027, 18365, 16715, 17661, 18131, 16882, 16659, 16395, 16647, 16759, 34948, 25043, 18960, 35546, 30581, 18493, 20470, 16395, 16734, 16667, 19183, 22745, 25043, 16673, 16604, 16399, 16397, 16400, 16399, 16405, 31809, 16604, 16399, 16397, 16399, 16404, 16399, 44640, 16723, 26149, 16972, 20914, 16724, 18240, 16673, 61500, 24588, 16674, 16972, 20347, 16604, 16391, 17752, 24601, 18201, 16741, 44640, 16723, 26149, 40350, 16445, 25296, 16400, 16445, 20347, 16445, 25296, 16400, 16445, 16392, 16767, 16667, 19183, 16759, 34948, 24734, 16673, 16604, 16400, 16404, 16399, 16397, 16408, 31809, 16604, 16405, 16408, 16397, 16402, 58753, 16397, 20956, 16721, 24734, 27421, 16395, 16647, 25043, 18960, 16673, 17154, 20470, 17132 ]
[ 0, 16400, 16397, 35453, 16604, 16474, 16386, 19810, 16400, 16396, 18894, 16646, 17057, 16396, 16400, 16406, 16396, 16399, 16403, 16407, 16402, 16407, 16476, 16582, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16582, 16582, 43670, 19831, 17299, 16641, 21691, 16672, 42498, 16674, 34147, 18493, 17968, 16674, 42753, 16671, 16604, 16400, 16407, 16388, 24278, 16672, 16604, 16401, 16399, 16400, 16405, 16604, 16443, 16442, 16442, 16415, 16417, 16400, 16396, 18894, 16646, 17057, 16396, 16400, 16406, 16396, 16399, 16403, 16407, 16402, 16407, 16444, 16443, 16444, 16395, 16734, 16917, 16672, 18514, 17613, 16396, 19815, 17968, 16672, 18540, 17255, 42498, 16785, 45446, 16604, 16443, 16442, 16442, 16415, 16417, 16401, 16396, 18894, 16646, 17057, 16396, 16400, 16406, 16396, 16399, 16403, 16407, 16402, 16407, 16444, 16395, 16442, 16415, 16417, 16402, 16396, 18894, 16646, 17057, 16396, 16400, 16406, 16396, 16399, 16403, 16407, 16402, 16407, 16444, 16443, 16444, 16397, 20099, 16672, 16772, 29681, 16395, 25344, 34147, 20627, 16769, 17362, 16397, 16875, 16604, 16401, 16399, 16400, 16408, 16395, 16604, 16400, 16401, 16388, 16673, 17968, 26661, 16604, 16403, 16671, 16604, 16400, 16401, 16958, 42498, 16785, 45446, 16604, 16443, 16442, 16442, 16415, 16417, 16403, 16396, 18894, 16646, 17057, 16396, 16400, 16406, 16396, 16399, 16403, 16407, 16402, 16407, 16444, 16443, 16444, 16397, 20956, 24056, 16785, 34147, 16672, 25344, 16704, 18839, 37233, 16395, 17608, 16811, 18143, 21450, 17065, 62116, 16674, 47903, 16674, 16704, 19359, 16671, 16667, 19800, 18813, 16673, 20809, 17730, 24585, 16395, 17274, 16741, 18383, 20448, 26600, 16395, 42814, 16395, 35386, 20062, 16674, 19001, 20286, 16673, 20053, 16604, 16443, 16442, 16442, 16415, 16417, 16401, 16396, 18894, 16646, 17057, 16396, 16400, 16406, 16396, 16399, 16403, 16407, 16402, 16407, 16444, 16395, 16442, 16415, 16417, 16402, 16396, 18894, 16646, 17057, 16396, 16400, 16406, 16396, 16399, 16403, 16407, 16402, 16407, 16444, 16395, 16442, 16415, 16417, 16404, 16396, 18894, 16646, 17057, 16396, 16400, 16406, 16396, 16399, 16403, 16407, 16402, 16407, 16444, 16443, 16444, 16397, 20956, 24056, 16674, 34147, 16769, 19650, 16925, 16674, 18233, 16925, 16604, 16443, 16442, 16442, 16415, 16417, 16405, 16396, 18894, 16646, 17057, 16396, 16400, 16406, 16396, 16399, 16403, 16407, 16402, 16407, 16444, 16443, 16444, 16395, 18839, 16767, 16641, 18198, 18702, 16604, 16443, 16442, 16442, 16415, 16417, 16404, 16396, 18894, 16646, 17057, 16396, 16400, 16406, 16396, 16399, 16403, 16407, 16402, 16407, 16444, 16395, 16442, 16415, 16417, 16406, 16396, 18894, 16646, 17057, 16396, 16400, 16406, 16396, 16399, 16403, 16407, 16402, 16407, 16444, 16443, 16444, 16395, 16809, 25031, 21374, 31267, 50582, 16674, 20209, 19902, 19962, 16604, 16391, 21101, 16392, 16604, 16391, 30086, 18047, 18712, 21775, 16396, 21670, 50582, 16604, 16391, 16420, 26062, 35577, 16392, 16392, 16604, 16443, 16442, 16442, 16415, 16417, 16407, 16396, 18894, 16646, 17057, 16396, 16400, 16406, 16396, 16399, 16403, 16407, 16402, 16407, 16444, 16395, 16442, 16415, 16417, 16408, 16396, 18894, 16646, 17057, 16396, 16400, 16406, 16396, 16399, 16403, 16407, 16402, 16407, 16444, 16395, 16442, 16415, 16417, 16400, 16399, 16396, 18894, 16646, 17057, 16396, 16400, 16406, 16396, 16399, 16403, 16407, 16402, 16407, 16444, 16443, 16444, 16397, 17999, 18821, 17968, 16390, 16466, 16799, 26062, 35577, 16604, 16443, 16442, 16442, 16415, 16417, 16407, 16396, 18894, 16646, 17057, 16396, 16400, 16406, 16396, 16399, 16403, 16407, 16402, 16407, 16444, 16395, 16442, 16415, 16417, 16400, 16400, 16396, 18894, 16646, 17057, 16396, 16400, 16406, 16396, 16399, 16403, 16407, 16402, 16407, 16444, 16443, 16444, 16395, 19705, 24157, 16604, 16443, 16442, 16442, 16415, 16417, 16400, 16401, 16396, 18894, 16646, 17057, 16396, 16400, 16406, 16396, 16399, 16403, 16407, 16402, 16407, 16444, 16443, 16444, 16395, 17274, 16741, 16647, 17613, 16604, 16443, 16442, 16442, 16415, 16417, 16400, 16402, 16396, 18894, 16646, 17057, 16396, 16400, 16406, 16396, 16399, 16403, 16407, 16402, 16407, 16444, 16443, 16444, 16674, 17616, 18805, 17208, 16703, 19423, 16672, 32858, 16604, 16443, 16442, 16442, 16415, 16417, 16407, 16396, 18894, 16646, 17057, 16396, 16400, 16406, 16396, 16399, 16403, 16407, 16402, 16407, 16444, 16395, 16442, 16415, 16417, 16400, 16402, 16396, 18894, 16646, 17057, 16396, 16400, 16406, 16396, 16399, 16403, 16407, 16402, 16407, 16444, 16443, 16444, 16397, 16582, 16582, 23097, 17968, 20522, 16641, 18122, 28167, 16673, 16914, 17649, 26075, 16767, 17613, 16395, 16674, 20155, 20378, 17259, 17968, 16395, 20155, 16807, 16992, 16641, 19500, 26536, 20989, 16715, 22231, 16604, 16443, 16442, 16442, 16415, 16417, 16400, 16402, 16396, 18894, 16646, 17057, 16396, 16400, 16406, 16396, 16399, 16403, 16407, 16402, 16407, 16444, 16395, 16442, 16415, 16417, 16400, 16403, 16396, 18894, 16646, 17057, 16396, 16400, 16406, 16396, 16399, 16403, 16407, 16402, 16407, 16444, 16395, 16442, 16415, 16417, 16400, 16404, 16396, 18894, 16646, 17057, 16396, 16400, 16406, 16396, 16399, 16403, 16407, 16402, 16407, 16444, 16443, 16444, 16397, 18523, 16395, 16647, 21449, 16673, 16647, 17616, 20989, 16709, 17968, 16390, 16466, 16799, 26062, 35577, 16704, 29987, 16395, 18839, 16715, 18198, 17968, 16395, 17608, 19326, 21349, 16647, 18308, 27793, 16767, 17616, 16395, 16674, 21449, 17968, 16390, 16466, 31267, 16674, 25719, 25604, 16809, 22202, 16945, 43716, 16674, 20866, 20989, 16604, 16443, 16442, 16442, 16415, 16417, 16400, 16405, 16396, 18894, 16646, 17057, 16396, 16400, 16406, 16396, 16399, 16403, 16407, 16402, 16407, 16444, 16395, 16442, 16415, 16417, 16400, 16406, 16396, 18894, 16646, 17057, 16396, 16400, 16406, 16396, 16399, 16403, 16407, 16402, 16407, 16444, 16395, 16442, 16415, 16417, 16400, 16407, 16396, 18894, 16646, 17057, 16396, 16400, 16406, 16396, 16399, 16403, 16407, 16402, 16407, 16444, 16395, 16442, 16415, 16417, 16400, 16408, 16396, 18894, 16646, 17057, 16396, 16400, 16406, 16396, 16399, 16403, 16407, 16402, 16407, 16444, 16443, 16444, 16397, 23466, 16728, 16704, 17889, 16671, 17027, 18314, 16709, 16647, 17616, 20989, 17014, 30430, 17613, 16396, 19338, 18712, 21775, 16396, 21670, 32858, 16604, 16443, 16442, 16442, 16415, 16417, 16400, 16404, 16396, 18894, 16646, 17057, 16396, 16400, 16406, 16396, 16399, 16403, 16407, 16402, 16407, 16444, 16395, 16442, 16415, 16417, 16400, 16406, 16396, 18894, 16646, 17057, 16396, 16400, 16406, 16396, 16399, 16403, 16407, 16402, 16407, 16444, 16443, 16444, 16397, 16582, 16582, 23741, 20176, 19029, 16672, 16647, 17616, 20989, 16769, 29269, 17181, 32858, 16734, 17815, 40067, 27303, 16604, 16391, 16452, 16397, 16454, 16397, 16395, 19326, 27088, 23603, 25441, 16395, 16785, 54766, 25441, 16392, 16604, 16443, 16442, 16442, 16415, 16417, 16400, 16402, 16396, 18894, 16646, 17057, 16396, 16400, 16406, 16396, 16399, 16403, 16407, 16402, 16407, 16444, 16395, 16442, 16415, 16417, 16400, 16405, 16396, 18894, 16646, 17057, 16396, 16400, 16406, 16396, 16399, 16403, 16407, 16402, 16407, 16444, 16395, 16442, 16415, 16417, 16400, 16408, 16396, 18894, 16646, 17057, 16396, 16400, 16406, 16396, 16399, 16403, 16407, 16402, 16407, 16444, 16395, 16442, 16415, 16417, 16401, 16399, 16396, 18894, 16646, 17057, 16396, 16400, 16406, 16396, 16399, 16403, 16407, 16402, 16407, 16444, 16395, 16442, 16415, 16417, 16401, 16400, 16396, 18894, 16646, 17057, 16396, 16400, 16406, 16396, 16399, 16403, 16407, 16402, 16407, 16444, 16443, 16444, 16397, 18523, 16395, 20206, 24864, 19326, 16704, 18143, 22515, 16396, 16674, 30084, 16396, 61193, 16395, 18065, 17213, 20286, 16673, 32858, 17827, 39273, 16604, 16443, 16442, 16442, 16415, 16417, 16401, 16399, 16396, 18894, 16646, 17057, 16396, 16400, 16406, 16396, 16399, 16403, 16407, 16402, 16407, 16444, 16443, 16444, 16397, 20099, 16395, 16647, 33976, 16604, 16443, 16442, 16442, 16415, 16417, 16401, 16401, 16396, 18894, 16646, 17057, 16396, 16400, 16406, 16396, 16399, 16403, 16407, 16402, 16407, 16444, 16443, 16444, 16674, 39458, 25874, 16673, 19326, 16672, 17213, 20286, 16673, 32858, 16807, 25736, 16671, 16703, 24809, 16604, 16443, 16442, 16442, 16415, 16417, 16402, 16396, 18894, 16646, 17057, 16396, 16400, 16406, 16396, 16399, 16403, 16407, 16402, 16407, 16444, 16395, 16442, 16415, 16417, 16401, 16401, 16396, 18894, 16646, 17057, 16396, 16400, 16406, 16396, 16399, 16403, 16407, 16402, 16407, 16444, 16395, 16442, 16415, 16417, 16401, 16402, 16396, 18894, 16646, 17057, 16396, 16400, 16406, 16396, 16399, 16403, 16407, 16402, 16407, 16444, 16443, 16444, 16397, 22494, 16931, 16917, 16396, 37316, 16673, 24850, 20422, 23765, 16672, 16998, 26536, 19962, 16604, 16443, 16442, 16442, 16415, 16417, 16402, 16396, 18894, 16646, 17057, 16396, 16400, 16406, 16396, 16399, 16403, 16407, 16402, 16407, 16444, 16395, 16442, 16415, 16417, 16401, 16403, 16396, 18894, 16646, 17057, 16396, 16400, 16406, 16396, 16399, 16403, 16407, 16402, 16407, 16444, 16443, 16444, 16395, 16604, 16403, 16399, 16671, 16604, 16405, 16399, 16388, 16673, 21445, 21199, 16891, 16604, 16443, 16442, 16442, 16415, 16417, 16401, 16403, 16396, 18894, 16646, 17057, 16396, 16400, 16406, 16396, 16399, 16403, 16407, 16402, 16407, 16444, 16443, 16444, 16397, 16875, 18150, 16395, 16647, 22381, 16673, 40067, 27303, 32858, 20903, 16671, 16703, 21187, 17362, 55705, 20584, 16604, 16391, 16434, 18311, 16392, 19326, 16604, 16443, 16442, 16442, 16415, 16417, 16401, 16404, 16396, 18894, 16646, 17057, 16396, 16400, 16406, 16396, 16399, 16403, 16407, 16402, 16407, 16444, 16443, 16444, 16395, 16674, 16728, 16704, 20278, 24809, 16671, 24708, 19326, 16734, 16641, 18229, 16702, 18311, 16604, 16443, 16442, 16442, 16415, 16417, 16402, 16396, 18894, 16646, 17057, 16396, 16400, 16406, 16396, 16399, 16403, 16407, 16402, 16407, 16444, 16395, 16442, 16415, 16417, 16401, 16404, 16396, 18894, 16646, 17057, 16396, 16400, 16406, 16396, 16399, 16403, 16407, 16402, 16407, 16444, 16443, 16444, 16395, 16641, 19251, 23603, 17743, 16395, 18494, 19326, 16674, 17310, 16673, 27572, 28597, 19318, 16604, 16443, 16442, 16442, 16415, 16417, 16401, 16403, 16396, 18894, 16646, 17057, 16396, 16400, 16406, 16396, 16399, 16403, 16407, 16402, 16407, 16444, 16443, 16444, 16397, 17170, 16704, 40368, 18841, 16395, 17608, 17213, 19326, 16398, 16453, 59117, 16769, 17154, 16672, 17109, 16673, 32858, 16397, 17544, 18185, 16395, 18147, 16815, 16641, 18122, 28140, 37047, 18077, 16872, 19628, 16721, 16986, 16769, 55705, 16674, 27572, 56536, 16672, 17486, 17730, 16604, 16443, 16442, 16442, 16415, 16417, 16401, 16405, 16396, 18894, 16646, 17057, 16396, 16400, 16406, 16396, 16399, 16403, 16407, 16402, 16407, 16444, 16443, 16444, 16397, 18073, 16641, 18198, 18702, 16395, 17975, 16396, 43543, 17968, 16958, 16922, 18715, 16671, 16703, 42498, 19739, 16671, 28140, 17968, 16395, 16734, 19082, 16390, 16466, 23603, 17743, 17255, 16917, 16673, 16647, 30880, 20671, 16672, 29800, 16811, 18846, 33645, 16672, 42498, 16672, 17213, 17968, 16604, 16443, 16442, 16442, 16415, 16417, 16401, 16406, 16396, 18894, 16646, 17057, 16396, 16400, 16406, 16396, 16399, 16403, 16407, 16402, 16407, 16444, 16443, 16444, 16397, 32641, 55705, 17730, 60699, 16395, 17486, 24319, 16674, 16647, 17564, 22607, 16673, 16647, 17616, 18805, 16671, 17783, 21374, 50582, 16769, 17027, 17889, 64024, 16673, 17968, 16390, 16466, 25719, 16674, 31267, 25604, 16397, 17544, 20845, 16395, 17968, 16390, 16466, 31267, 25604, 16704, 21487, 16809, 16914, 31613, 16715, 21374, 16674, 16398, 16658, 43656, 25792, 16395, 16674, 16914, 25719, 16674, 26187, 16682, 16936, 25604, 16704, 19970, 16734, 16914, 19962, 34365, 16604, 16443, 16442, 16442, 16415, 16417, 16401, 16407, 16396, 18894, 16646, 17057, 16396, 16400, 16406, 16396, 16399, 16403, 16407, 16402, 16407, 16444, 16443, 16444, 16397, 20099, 16395, 17968, 21056, 16672, 16667, 18805, 16672, 16944, 21374, 31267, 16604, 16443, 16442, 16442, 16415, 16417, 16401, 16408, 16396, 18894, 16646, 17057, 16396, 16400, 16406, 16396, 16399, 16403, 16407, 16402, 16407, 16444, 16443, 16444, 16674, 23454, 25719, 16604, 16443, 16442, 16442, 16415, 16417, 16401, 16408, 16396, 18894, 16646, 17057, 16396, 16400, 16406, 16396, 16399, 16403, 16407, 16402, 16407, 16444, 16395, 16442, 16415, 16417, 16402, 16399, 16396, 18894, 16646, 17057, 16396, 16400, 16406, 16396, 16399, 16403, 16407, 16402, 16407, 16444, 16443, 16444, 16769, 17827, 26295, 16769, 16922, 16767, 18813, 16715, 21625, 43656, 16799, 26062, 35577, 16397, 23466, 16395, 39186, 16673, 16647, 19971, 16704, 16804, 30014, 16671, 17204, 16396, 21230, 55705, 22383, 16395, 16850, 17027, 19497, 18462, 17486, 34365, 16674, 16647, 17730, 21531, 21370, 16799, 26062, 35577, 16672, 16647, 17616, 18805, 16397, 16582, 16582, 18313, 23006, 16922, 19326, 16395, 16674, 20278, 17310, 16673, 27012, 27319, 16395, 16647, 21084, 16673, 31002, 40067, 27303, 16704, 16667, 21963, 16397, 20211, 17891, 31002, 40067, 27303, 16704, 26511, 16671, 16703, 17827, 20176, 16672, 21910, 17730, 50582, 19739, 16671, 17815, 40067, 27303, 16395, 16728, 16843, 17474, 16671, 20580, 28440, 16674, 23643, 20627, 16604, 16443, 16442, 16442, 16415, 16417, 16401, 16400, 16396, 18894, 16646, 17057, 16396, 16400, 16406, 16396, 16399, 16403, 16407, 16402, 16407, 16444, 16443, 16444, 16397, 16875, 31002, 40067, 27303, 16395, 19326, 16769, 24761, 16672, 16641, 17210, 16721, 16647, 26536, 19682, 16756, 16829, 16804, 26610, 16785, 24708, 20206, 16604, 16391, 16456, 16397, 16452, 16397, 16395, 18492, 16671, 18492, 16395, 16785, 23421, 16392, 16734, 17007, 16397, 23702, 16395, 19326, 16769, 24608, 19565, 17613, 18691, 16395, 16785, 17968, 17917, 16741, 16647, 50700, 16397, 39230, 16673, 31002, 40067, 27303, 16769, 16647, 25610, 16673, 17624, 16604, 16391, 24373, 41914, 16395, 24816, 32730, 16392, 16395, 63954, 16671, 23765, 16672, 16785, 21108, 19811, 16604, 16391, 34673, 16395, 23603, 25441, 16392, 16674, 56959, 16785, 37595, 23809, 16767, 16647, 17486, 16674, 16398, 16658, 18521, 16734, 16647, 20199, 16673, 24864, 19326, 16604, 16443, 16442, 16442, 16415, 16417, 16400, 16408, 16396, 18894, 16646, 17057, 16396, 16400, 16406, 16396, 16399, 16403, 16407, 16402, 16407, 16444, 16443, 16444, 16397, 34617, 18147, 16872, 19628, 16721, 16991, 16673, 17213, 23575, 16769, 16922, 29334, 17032, 18208, 16395, 16715 ]
[ 0, 16385, 16442, 33648, 22877, 17130, 16604, 16444, 16385, 16604, 16385, 16442, 17958, 17485, 33851, 16604, 16444, 16385, 16604, 16385, 16442, 24119, 34738, 16661, 16604, 16444, 16385, 16604, 16385, 16385, 45247, 29896, 16673, 16647, 20646, 45936, 21217, 16395, 16647, 20312, 16673, 50028, 16674, 20433, 16872, 16992, 29561, 16815, 16811, 22134, 16397, 16385, 16385, 16604, 16385, 16442, 33987, 16661, 16604, 16444, 16385, 16604, 16385, 16442, 33987, 16661, 16957, 18983, 16604, 16444, 16385, 16604, 16385, 21539, 16395, 16873, 16390, 16690, 18358, 16397, 16385, 16604, 16385, 16442, 60738, 16661, 16604, 16444, 16385, 16604, 16385, 30572, 16672, 16397, 16385, 16604, 16385, 18001, 16390, 16644, 18612, 16709, 16647, 27825, 16395, 18667, 16397, 50028, 16397, 16385, 16604, 16385, 23915, 16704, 16728, 16414, 16385, 16604, 16385, 17409, 16390, 16466, 16647, 20991, 24615, 16390, 16466, 19156, 16395, 30125, 16397, 16385, 16604, 16385, 16442, 43691, 17683, 21243, 16604, 16444, 16385, 16604, 16385, 16424, 16390, 16451, 17607, 17391, 16728, 16397, 16385, 16604, 16385, 31596, 16397, 16385, 16604, 16385, 19084, 16395, 16811, 16704, 18640, 22579, 59870, 16395, 16888, 24615, 16397, 16385, 16604, 16385, 21519, 16395, 16687, 17134, 16397, 16385, 16604, 16385, 21516, 16395, 16733, 16390, 16683, 16703, 17348, 16397, 16385, 16604, 16385, 16853, 19969, 28413, 60114, 16891, 16667, 47101, 16715, 17153, 17100, 21491, 17774, 16397, 16385, 16604, 16385, 16442, 22550, 18362, 35271, 22870, 16604, 16444, 17513, 16390, 16644, 16672, 16641, 41860, 16395, 19929, 16390, 16467, 16873, 16414, 16385, 16604, 16385, 20505, 16742, 16390, 16683, 16807, 16671, 17646, 16991, 20301, 16709, 16647, 20991, 24615, 16397, 16385, 16604, 16385, 17409, 19601, 16390, 16467, 16829, 16998, 17203, 16397, 16385, 16604, 16385, 17635, 16704, 20898, 16987, 16397, 16385, 16604, 16385, 26042, 16395, 16721, 16390, 16466, 17262, 16397, 16385, 16604, 16385, 17611, 16390, 16683, 47505, 17940, 16848, 16397, 16385, 16604, 16385, 43194, 16395, 16721, 16390, 16466, 16667, 18479, 16397, 16385, 16604, 16385, 26453, 16742, 16843, 17762, 16811, 17792, 17473, 16395, 17190, 16728, 17158, 16945, 16395, 42632, 16395, 19052, 45259, 16397, 16385, 16604, 16385, 19537, 19601, 16390, 16467, 18618, 16715, 16728, 16980, 16733, 16390, 16466, 17497, 16647, 19591, 16687, 17133, 16397, 16385, 16604, 16385, 21539, 16395, 16733, 16390, 16466, 17497, 16728, 16395, 23250, 16390, 16467, 16733, 16414, 16385, 16604, 16385, 54599, 16395, 16687, 19601, 16390, 16467, 16703, 57568, 16397, 16385, 16604, 16385, 21539, 16395, 16873, 17579, 18630, 16641, 65495, 16671, 21633, 16741, 17301, 16741, 16687, 16843, 19210, 16397, 16385, 16604, 16385, 23852, 16807, 16732, 16992, 16715, 16647, 17367, 19201, 16673, 17202, 16414, 16385, 16604, 16385, 16442, 60738, 16661, 16604, 16444, 27219, 16672, 16397, 16385, 16604, 16385, 19459, 17378, 16704, 20008, 16395, 18667, 16397, 50028, 16397, 16385, 16604, 16385, 18246, 16414, 16385, 16604, 16385, 18313, 17391, 16732, 16671, 16647, 17198, 37585, 16395, 30125, 16397, 16385, 16604, 16385, 21519, 16397, 16385, 16604, 16385, 21519, 16397, 16385, 16604, 16385, 21519, 16395, 16721, 16390, 16466, 17262, 16397, 16385, 16604, 16385, 33501, 16704, 21558, 16661, 18120, 16397, 16385, 16604, 16385, 16424, 16390, 16451, 28280, 16931, 17107, 16397, 16385, 16604, 16385, 16424, 17724, 16461, 16390, 16467, 17723, 17107, 19339, 18248, 16931, 16811, 16815, 36379, 16397, 16385, 16604, 16385, 30572, 16709, 16397, 16385, 16604, 16385, 17507, 16390, 16683, 19786, 16891, 16986, 16397, 16385, 16604, 16385, 18129, 16687, 18151, 16647, 20991, 24615, 16732, 16390, 16683, 16703, 17348, 16397, 16385, 16604, 16385, 20201, 16647, 20991, 24615, 18760, 16397, 16385, 16604, 16385, 21742, 16397, 50028, 16414, 16385, 16604, 16385, 21516, 16395, 16687, 16390, 16460, 18667, 16397, 50028, 16397, 16385, 16604, 16385, 17611, 16390, 16466, 16887, 24615, 16397, 16385, 16604, 16385, 21742, 16397, 50028, 16395, 42632, 16395, 16829, 16687, 16854, 16734, 16732, 16785, 16829, 16732, 22540, 16734, 16848, 16414, 16385, 16604, 16385, 18377, 16390, 16466, 17028, 19489, 16673, 37018, 29336, 16811, 18015, 23705, 16414, 16385, 16604, 16385, 31669, 16395, 18667, 16397, 50028, 16397, 16385, 16604, 16385, 22127, 16687, 22540, 16734, 16732, 16397, 16385, 16604, 16385, 18001, 17391, 16887, 17378, 16397, 16385, 16604, 16385, 19801, 22752, 16674, 18595, 17107, 17141, 17348, 16397, 16385, 16604, 16385, 18105, 16931, 16647, 31516, 16414, 16385, 16604, 16385, 16424, 16390, 16683, 37367, 16721, 16397, 16385, 16604, 16385, 41635, 21784, 16848, 16767, 16647, 16395, 42632, 16385, 16604, 16385, 19044, 26501, 16397, 16385, 16604, 16385, 19044, 26501, 16397, 16385, 16604, 16385, 21010, 20747, 16397, 16385, 16604, 16385, 21539, 16395, 16687, 16390, 16460, 20008, 16395, 21871, 16397, 16385, 16604, 16385, 17635, 18405, 16390, 16467, 22490, 16395, 18667, 16397, 50028, 16397, 16385, 16604, 16385, 18001, 16390, 16644, 21922, 16848, 16414, 16385, 16604, 16385, 16442, 33315, 16451, 19150, 17912, 16604, 16444, 20305, 16384, 16385, 16604, 16385, 20605, 16912, 24198, 16395, 16903, 16384, 16385, 16604, 16385, 31240, 16756, 17285, 16384, 16385, 16604, 16385, 19315, 17262, 16395, 17285, 16671, 16912, 37707, 17178, 16384, 16385, 16604, 16385, 20505, 18586, 16397, 16385, 16604, 16385, 16442, 16997, 32674, 16604, 16444, 16385, 16604, 16385, 32202, 17262, 17030, 16986, 16384, 16385, 16604, 16385, 26042, 16395, 16850, 16868, 16732, 18760, 16994, 16641, 17711, 16414, 16385, 16604, 16385, 16424, 16385, 16604, 16385, 17170, 16704, 16804, 16715, 16647, 21505, 19242, 16397, 16385, 16604, 16385, 21366, 16395, 16850, 16385, 16604, 16385, 58316, 16414, 16385, 16604, 16385, 19801, 16891, 16673, 17348, 16397, 16385, 16604, 16385, 21010, 16709, 16397, 16385, 16604, 16385, 31596, 16395, 20881, 16397, 16385, 16604, 16385, 31596, 16395, 22752, 16397, 16385, 16604, 16385, 18377, 16390, 16466, 16395, 42632, 16385, 16604, 16385, 17664, 16390, 16466, 17536, 18661, 17889, 16687, 18612, 16671, 17921, 16732, 16397, 16385, 16604, 16385, 23002, 19409, 16390, 16466, 16672, 16641, 34888, 16397, 16385, 16604, 16385, 17611, 18612, 16671, 16969, 16903, 17348, 19204, 16850, 19816, 16390, 16467, 16969, 17915, 16397, 16385, 16604, 16385, 20505, 16732, 17967, 16647, 25256, 16769, 18065, 17963, 17441, 17240, 16673, 16811, 16395, 16850, 16986, 16728, 16704, 16397, 16385, 16604, 16385, 27064, 16395, 22752, 16395, 17659, 16709, 17285, 16384, 16385, 16604, 16385, 30572, 16709, 16395, 22752, 16384, 16385, 16604, 16385, 30572, 16709, 16384, 16385, 16604, 16385, 16442, 16997, 32674, 16604, 16444, 16385, 16604, 16385, 43194, 16395, 22752, 16395, 17659, 16709, 16384, 16385, 16604, 16385, 16442, 42216, 32816, 18975, 16604, 16444, 16385, 16604, 16385, 16442, 20945, 22637, 16702, 17750, 16666, 16604, 16444, 16604, 16442, 43691, 61235, 16395, 17683, 21243, 16604, 16444, 16385, 16604, 16385, 18001, 16854, 16671, 16647, 19783, 16397, 16385, 16604, 16385, 16424, 16390, 16683, 17391, 17534, 16673, 16721, 16397, 16385, 16604, 16385, 21516, 16395, 30125, 16397, 16385, 16604, 16385, 23913, 21938, 16397, 16385, 16604, 16385, 23913, 21938, 16397, 16385, 16604, 16385, 23690, 16732, 16395, 42632, 16395, 17391, 16887, 28393, 42038, 16414, 16385, 16604, 16385, 21516, 16395, 18667, 16397, 21623, 16397, 16385, 16604, 16385, 18105, 16390, 16466, 16647, 18798, 16414, 16385, 16604, 16385, 17611, 16390, 16466, 17939, 17613, 16397, 16385, 16604, 16385, 16424, 19601, 16390, 16467, 24605, 16397, 16385, 16604, 16385, 17611, 16390, 16466, 18408, 17240, 22423, 16903, 16397, 16385, 16604, 16385, 22621, 16395, 22001, 16397, 16385, 16604, 16385, 16424, 16390, 16683, 17322, 16732, 16647, 17092, 17792, 16672, 16647, 19571, 16397, 16385, 16604, 16385, 19315, 17262, 16397, 16385, 16604, 16385, 23913, 18097, 16397, 16385, 16604, 16385, 23913, 18097, 16397, 16385, 16604, 16385, 31596, 16395, 22752, 16397, 16385, 16604, 16385, 18001, 22976, 16390, 16467, 16807, 17939, 17613, 16397, 16385, 16604, 16385, 21127, 16804, 16414, 16385, 16604, 16385, 18001, 22976, 16390, 16467, 16807, 17535, 17915, 16397, 16385, 16604, 16385, 16442, 49310, 16867, 16466, 16604, 16444, 16687, 26071, 16687, 17208, 16994, 17920, 16672, 17568, 16674, 16703, 58041, 16711, 16395, 16678, 19932, 16395, 19095, 16673, 16721, 48658, 16873, 16807, 27708, 16709, 16647, 19819, 16397, 16385, 16604, 16385, 19315, 16887, 18659, 17255, 19544, 19407, 16671, 16848, 16994, 16671, 17299, 17072, 20240, 16396, 34214, 16873, 16769, 16397, 16385, 16604, 16385, 18001, 16390, 16683, 16807, 16671, 18212, 16671, 17391, 16728, 16397, 16385, 16604, 16385, 21127, 17208, 16687, 17391, 16728, 16715, 17536, 16687, 17727, 16390, 16467, 16829, 16414, 16385, 16604, 16385, 21519, 16395, 17659, 16395, 22752, 16397, 16385, 16604, 16385, 18001, 16390, 16644, 18065, 16811, 17792, 17240, 17441, 17889, 16397, 16385, 16604, 16385, 21519, 16395, 16728, 18405, 16390, 16467, 17889, 16395, 43029, 16414, 16385, 16604, 16385, 24067, 16395, 16687, 19425, 31358, 34396, 16671, 16991, 20045, 16673, 16647, 20312, 16397, 16385, 16604, 16385, 17409, 16390, 16466, 16804, 16647, 17092, 17005, 16721, 16390, 16466, 16992, 18090, 16397, 16385, 16604, 16385, 22719, 16732, 18387, 16671, 17921, 16848, 16721, 16811, 16704, 16647, 23299, 17792, 16414, 16385, 16604, 16385, 17507, 16390, 16644, 16672, 16641, 22868, 17546, 16395, 16674, 16742, 16390, 16690, 17497, 16671, 16703, 16741, 22868, 16741, 16647, 16977, 22104, 16785, 16969, 16891, 16397, 16385, 16604, 16385, 18001, 16390, 16683, 17393, 16728, 16891, 16715, 19486, 17014, 16732, 16390, 16644, 18065, 16912, 17210, 16672, 16647, 17394, 16397, 16385, 16604, 16385, 16424, 26071, 16721, 16385, 16604, 16385, 16424, 19769, 16687, 16763, 16994, 26621, 18010, 16671, 18360, 17016, 16763, 23116, 16848, 16409, 16385, 16604, 16385, 16928, 18209, 16809, 16641, 19484, 16397, 16385, 16604, 16385, 18105, 16414, 16385, 16604, 16385, 16853, 33171, 19484, 16414, 16385, 16604, 16385, 21127, 16395, 17155, 17005, 16732, 21781, 17285, 16647, 18676, 16715, 16641, 31193, 16395, 16732, 16955, 16917, 16673, 16647, 17514, 20416, 33210, 16715, 16732, 16721, 18048, 17120, 18367, 16397, 16385, 16604, 16385, 16418, 19919, 16769, 16715, 30722, 16756, 16397, 16385, 16604, 16385, 17409, 16390, 16466, 16647, 17396, 16672, 17598, 16397, 16385, 16604, 16385, 18377, 16390, 16466, 17097, 16917, 20866, 16409, 16385, 16604, 16385, 55843, 16785, 16703, 35553, 16397, 16385, 16604, 16385, 17635, 16704, 16641, 56586, 17210, 16671, 17393, 16728, 16891, 16397, 16385, 16604, 16385, 16424, 17796, 16732, 19324, 16397, 16385, 16604, 16385, 28109, 16641, 17158, 16767, 19486, 16397, 16385, 16604, 16385, 18105, 16807, 16687, 17497, 16671, 16829, 16734, 16728, 16414, 16385, 16604, 16385, 21539, 16395, 26071, 16687, 17723, 17047, 20755, 16848, 17473, 16414, 16385, 16604, 16385, 23852, 16961, 16732, 16703, 18120, 16414, 16385, 16604, 16385, 21977, 18183, 16715, 16641, 17980, 16397, 16385, 16604, 16385, 19701, 19382, 16709, 24485, 16397, 16385, 16604, 16385, 19701, 20670, 16734, 17213, 54083, 16721, 18623, 16903, 16674, 17285, 16709, 18642, 16688, 20329, 16395, 29555, 16715, 17536, 16721, 16873, 16390, 16683, 17579, 16969, 16397, 16385, 16604, 16385, 21539, 16395, 19382, 16873, 16390, 16644, 17607, 17021, 17032, 16687, 17045, 16397, 16385, 16604, 16385, 21519, 16395, 17659, 16395, 22752, 16397, 16385, 16604, 16385, 16438, 16930, 16903, 16397, 16385, 16604, 16385, 28861, 16912, 17693, 16397, 16385, 16604, 16385, 16424, 17045, 16397, 16385, 16604, 16385, 16424, 16390, 16460, 19395, 17210, 17141, 16671, 16811, 23154, 16397, 16385, 16604, 16385, 23637, 16604, 16400, 16399, 17202, 16671, 16721, 18097, 26468, 20046, 16397, 16397, 16397, 16674, 16732, 16674, 16687, 19416, 18226, 18015, 35281, 16395, 19210, 16414, 16385, 16604, 16385, 18001, 23694, 16671, 16848, 16945, 16667, 21895, 17177, 16395, 16674, 16687, 19273, 16945, 16917, 16397, 16385, 16604, 16385, 17507, 60114, 16742, 16390, 16451, 17686, 16703, 20699, 16734, 17492, 16977, 16397, 16385, 16604, 16385, 17507, 19324, 16986, 16763, 16641, 22106, 17415, 16907, 16944, 17579, 17120, 16703, 22423, 16397, 16385, 16604, 16385, 17409, 17109, 16461, 16390, 16467, 16703, 22423, 16397, 16385, 16604, 16385, 18001, 23545, 16728, 17014, 16732, 21817, 17255, 20699, 16734, 16848, 16397, 16385, 16604, 16385, 21127, 17727, 16390, 16467, 16732, 17921, 16848, 17016, 16732, 16958, 18045, 16414, 16385, 16604, 16385, 18001, 17366, 16641, 17417, 16715, 16848, 16395, 17723, 16848, 16854, 16709, 19006, 16728, 17714, 18021, 20287, 16728, 16397, 16385, 16604, 16385, 17991, 16732, 16390, 16451, 16994, 17031, 16732, 16958, 48296, 16709, 24737, 22161, 16395, 16858, 17262, 16395, 16687, 16396, 16424, 16961, 16807, 19530, 16671, 17967, 16395, 16850, 16687, 19601, 16390, 16467, 16703, 16672, 16641, 20363, 16945, 16811, 16397, 16385, 16604, 16385, 16424, 16390, 16460, 16804, 21789, 16715, 16728, 16397, 16385, 16604, 16385, 21519, 16395, 17121, 16390, 16467, 16385, 16604, 16385, 20574, 16390, 16467, 17921, 16848, 16687, 16843, 16390, 16467, 17391, 16728, 16397, 16385, 16604, 16385, 21127, 17208, 16687, 16703, 17914, 16671, 17391, 16728, 17014, 16687, 16390, 16690, 16955, 17028, 24907, 16414, 16385, 16604, 16385, 18811, 16891, 16673, 16641, 18271, 24050, 16395, 16687, 16396, 16424, 17393, 16721, 16887, 19409, 16390, 16466, 16641, 23274, 16847, 16397, 16385, 16604, 16385, 16424, 18453, 16732, 17727, 16390, 16467, 17881, 16721, 16397, 16385, 16604, 16385, 16424, 20048, 16687, 17727, 16390, 16467, 16397, 16385, 16604, 16385, 26165, 16732, 17031, 16858, 16732, 16390, 16644, 17395, 16671, 16414, 16385, 16604, 16385, 16424, 17133, 16859, 16397, 16385, 16604, 16385, 19315, 17262, 16397, 16385, 16604, 16385, 20505, 16732, 21573, 16671, 16848, 16397, 16385, 16604, 16385, 16424, 16390, 16460, 21277, 16671, 25229, 16721, 16687, 17727, 16390, 16467, 17839, 17240, 19761, 16671, 16732, 16734, 16647, 23956, 16395, 16673, 18067, 16395, 16721, 16687, 18612, 16732, 16671, 16807, 16641, 19655, 19091, 16674, 22460, 16673, 18048, 16674, 16859, 23330, 16397, 16385, 16604, 16385, 45933, 16721, 18833, 16390, 16467, 18010, 16397, 16385, 16604, 16385, 16424, 17727, 16390, 16467, 17324, 17133, 16673, 16732, 18015, 16811, 19668, 16671, 16848, 16395, 16674, 16687, 29708, 17016, 16728, 16961, 17881, 16671, 16732 ]
[ 0, 16396, 16396, 16396, 16582, 38841, 16409, 16604, 16390, 17635, 19420, 37193, 16641, 20318, 20732, 37898, 18138, 17097, 16709, 17624, 31995, 19575, 16641, 29943, 24875, 16709, 19749, 25004, 16604, 16391, 16452, 16397, 16454, 16397, 30981, 16392, 16397, 19814, 18722, 18786, 18022, 17299, 16721, 16647, 19696, 16673, 16641, 24875, 29943, 16769, 25105, 28412, 17035, 16395, 16742, 17299, 17348, 17072, 16671, 24303, 16647, 20732, 23402, 16815, 16647, 19278, 16671, 17799, 16641, 37898, 16397, 17170, 17624, 16704, 37589, 16815, 16647, 39429, 16673, 16647, 20732, 20774, 16734, 18577, 16671, 16647, 20820, 19521, 16397, 17170, 19522, 16641, 19841, 21750, 20774, 16734, 18070, 19944, 22590, 16709, 21646, 17254, 17757, 17814, 23402, 16397, 19063, 25147, 16671, 18961, 29943, 16396, 19338, 51277, 16395, 16811, 18197, 21384, 23827, 46095, 19115, 21575, 17266, 16688, 48959, 16397, 17119, 26828, 17072, 26903, 16925, 16674, 17072, 16604, 17705, 27794, 16925, 16743, 16647, 27024, 17254, 17757, 17814, 16466, 16769, 16734, 16647, 26903, 18038, 16674, 29822, 24958, 16397, 36168, 18038, 16704, 23975, 16734, 16641, 19406, 55128, 22204, 16715, 16647, 28171, 16673, 16647, 25416, 16397, 17170, 20318, 37898, 30864, 18655, 26384, 16709, 16647, 19749, 25416, 16751, 24561, 18153, 35711, 16395, 16741, 17204, 16741, 31065, 28456, 17552, 17647, 51680, 16674, 46033, 19029, 16709, 22183, 32621, 16674, 21385, 16396, 57135, 17502, 21014, 16397, 18708, 18466, 17299, 16721, 16641, 29943, 24875, 16709, 16641, 19749, 21535, 18931, 21110, 20732, 20447, 17624, 16721, 16704, 16741, 21646, 16741, 17014, 16647, 29943, 16704, 22365, 24875, 16715, 20732, 25939, 16397, 16390, 16582, 26371, 16409, 16582, 16396, 20111, 16915, 21094, 22062, 20489, 16582, 16396, 56093, 36854, 18649, 16771, 16582, 16396, 16604, 16390, 16418, 16442, 17169, 16444, 16474, 16476, 16451, 17404, 18312, 46178, 17478, 16390, 16582, 16449, 34289, 20147, 16409, 16582, 16396, 16604, 16390, 16397, 16397, 16398, 21267, 54690, 16397, 54690, 16390, 16582, 23718, 16409, 16604, 16390, 20308, 16421, 16409, 29905, 28833, 25758, 21085, 16673, 40761, 16672, 17036, 16396, 48701, 29943, 16390, 16582, 16396, 16396, 16396, 16582, 16582, 38194, 16582, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16582, 16582, 16384, 16442, 16391, 16400, 16396, 16405, 16392, 29905, 28833, 21829, 24789, 16409, 29325, 16641, 29943, 24875, 16709, 16641, 19749, 21936, 21535, 16604, 16391, 19336, 18698, 16392, 16395, 16742, 17141, 27819, 16750, 16758, 16647, 20732, 20774, 17141, 16671, 16647, 19521, 18692, 16671, 37298, 16641, 19841, 21750, 20774, 16397, 16999, 16704, 27421, 16665, 16671, 17754, 17097, 16647, 17154, 37734, 21686, 16674, 17254, 17757, 17814, 16466, 16769, 16647, 18070, 19944, 22590, 16397, 16604, 16391, 16406, 16396, 16407, 16392, 16409, 19406, 16396, 62387, 16397, 16442, 16444, 16474, 19280, 16396, 19974, 16412, 16385, 19327, 16409, 63815, 16385, 16476, 16444, 16391, 25683, 16397, 27180, 16392, 16474, 21660, 16412, 16385, 16443, 56315, 16385, 16476, 16582, 16582, 39552, 35761, 16395, 23289, 16674, 29822, 16704, 16641, 51404, 18234, 16672, 21936, 25004, 17274, 16741, 46680, 16815, 38421, 16604, 16391, 16434, 16453, 16428, 16392, 16395, 22065, 31442, 18759, 16395, 20795, 24702, 16674, 19521, 53297, 16397, 16772, 35761, 25438, 16672, 40062, 19521, 17254, 17757, 17814, 16466, 16395, 17177, 16647, 29822, 30258, 16647, 28695, 17254, 17757, 17814, 16466, 18138, 16709, 16914, 55128, 21424, 16397, 20211, 17891, 17459, 16396, 62903, 21241, 16395, 17274, 16741, 16702, 49979, 16604, 16442, 16415, 16459, 24781, 16401, 16399, 16399, 16403, 29715, 21303, 16802, 16444, 16395, 22882, 16671, 16703, 20426, 16395, 18961, 38142, 16466, 16709, 18070, 20732, 25939, 16674, 23289, 26630, 16709, 46095, 19431, 16396, 41148, 20625, 16604, 16442, 16415, 25338, 16877, 16400, 16407, 26469, 20352, 16410, 16604, 16415, 32424, 16401, 16399, 16400, 16407, 63632, 16410, 16604, 16415, 43399, 16401, 16399, 16400, 16405, 42087, 16444, 16397, 17513, 20897, 17254, 17757, 17814, 16466, 16709, 19841, 21750, 26034, 20816, 16809, 16641, 56621, 18755, 16666, 18381, 17710, 23319, 16604, 16391, 48760, 16392, 16395, 17177, 37298, 28412, 17035, 17655, 17653, 29943, 16785, 16641, 21681, 25585, 16673, 16728, 16397, 17513, 16858, 18616, 18354, 35090, 16674, 19680, 19115, 24218, 16409, 16604, 16442, 16415, 43399, 16401, 16399, 16400, 16405, 42087, 16444, 21384, 19453, 16396, 46972, 29822, 17254, 17757, 17814, 16466, 16671, 40818, 16647, 19115, 16395, 16604, 16442, 16415, 32424, 16401, 16399, 16400, 16407, 63632, 16444, 18467, 16647, 19453, 16396, 46972, 21655, 31220, 16674, 23437, 26034, 16673, 16647, 21014, 16395, 16604, 16442, 16415, 25338, 16877, 16400, 16407, 26469, 20352, 16444, 21831, 53345, 16647, 17109, 16715, 19453, 16396, 46972, 17586, 16809, 17655, 35223, 16917, 16850, 21384, 16641, 21377, 24020, 32383, 16671, 20558, 16647, 19115, 16671, 29195, 21014, 16397, 17958, 17213, 20625, 18616, 16641, 18650, 19470, 18900, 16397, 16875, 16811, 19420, 16395, 16742, 17299, 16721, 16641, 24875, 19278, 18022, 18931, 21110, 18010, 17624, 16671, 17799, 18490, 16396, 17663, 16396, 17347, 16396, 23700, 16604, 16391, 18473, 16416, 16392, 37898, 16674, 55128, 16397, 16582, 16582, 16853, 21270, 18197, 16715, 18070, 20732, 25939, 18467, 17097, 16641, 29943, 24875, 16709, 19749, 21535, 16395, 17274, 16741, 28072, 24555, 16604, 16442, 16415, 16451, 17594, 16401, 16399, 16399, 16408, 16706, 23315, 16688, 16444, 30981, 16395, 16674, 17028, 18613, 19115, 16397, 16772, 37898, 16395, 42578, 33776, 16421, 16395, 36845, 16709, 16647, 19696, 20816, 16809, 17274, 16641, 29943, 16674, 24303, 16914, 23402, 16815, 16647, 20732, 20774, 19313, 18037, 16397, 34617, 16985, 18022, 27761, 16721, 24875, 29943, 19696, 16769, 21646, 28412, 17035, 16604, 16442, 16415, 16453, 29834, 16401, 16399, 16400, 16403, 62387, 16444, 16674, 18961, 18786, 16604, 16442, 16415, 18110, 22820, 16676, 16401, 16399, 16400, 16405, 41148, 16410, 16604, 16415, 19216, 16401, 16399, 16400, 16404, 27794, 20133, 16410, 16604, 16415, 23966, 16462, 16401, 16399, 16400, 16404, 40310, 61673, 17225, 16444, 22365, 20934, 29943, 16671, 21182, 19696, 25105, 16715, 17254, 17757, 17814, 23289, 16397, 18523, 16395, 17028, 21160, 19474, 20760, 16641, 17036, 16396, 48701, 29943, 16715, 20732, 25939, 16397, 16582, 16582, 20308, 16421, 16884, 18298, 16647, 39429, 16673, 16641, 24875, 29943, 20732, 20774, 16734, 18577, 16671, 16604, 16393, 16470, 16397, 16465, 16397, 16467, 16393, 16647, 19521, 16409, 16811, 41232, 16641, 19841, 21750, 20774, 16734, 18070, 19944, 22590, 16709, 17254, 17757, 17814, 22741, 16397, 19163, 17516, 51277, 18212, 16811, 19841, 21750, 20774, 16734, 16641, 29943, 25743, 16742, 24303, 16728, 16734, 39429, 18906, 16964, 16397, 17170, 19474, 16704, 23895, 16809, 16604, 16442, 16415, 23966, 18460, 16657, 16401, 16399, 16400, 16402, 36673, 16444, 16944, 58873, 16721, 16647, 39429, 16673, 30981, 24958, 16604, 16393, 16470, 16397, 16465, 16397, 16467, 16393, 16647, 19521, 16704, 18655, 16671, 16647, 19521, 19841, 21750, 20774, 16397, 33776, 16421, 43349, 16672, 16721, 16728, 19198, 16647, 39429, 16673, 20732, 26034, 16674, 16804, 16647, 30981, 21228, 30094, 16671, 21160, 16985, 56148, 29943, 19313, 18037, 16604, 16442, 16415, 17084, 17979, 44133, 16401, 16399, 16400, 16406, 22817, 16410, 16604, 16415, 20875, 16724, 30417, 16401, 16399, 16400, 16406, 20875, 22577, 22817, 16410, 16604, 16415, 29947, 42618, 16401, 16399, 16400, 16404, 16684, 33647, 16410, 16604, 16415, 16466, 17645, 16668, 16668, 57252, 16401, 16399, 16400, 16406, 17271, 16456, 34467, 16444, 16397, 18708, 18722, 18786, 20199, 16767, 22065, 18084, 16647, 19470, 21686, 16715, 30981, 22365, 25743, 33776, 16421, 44793, 16647, 20732, 23402, 16397, 16772, 35265, 19841, 21750, 20774, 16704, 17177, 27421, 16665, 16671, 17754, 17097, 16647, 17154, 21646, 23402, 16674, 19749, 24802, 16396, 25777, 22590, 21037, 18324, 16604, 16391, 16429, 21332, 16392, 44793, 16647, 18551, 17254, 17757, 17814, 16466, 16604, 16391, 23236, 16604, 16443, 16442, 19327, 16409, 48982, 21956, 16443, 16446, 16450, 35054, 16443, 16444, 16392, 16397, 16582, 16582, 16384, 16442, 21206, 21750, 26034, 27421, 16661, 16671, 17754, 17097, 16647, 17154, 37734, 20447, 16397, 21850, 16409, 19170, 19521, 16397, 16604, 16391, 29752, 16396, 26380, 16409, 22183, 32621, 16604, 16442, 16415, 16722, 35706, 16401, 16399, 16400, 16404, 27048, 16444, 16395, 16751, 24561, 18153, 16604, 16442, 16415, 18110, 22820, 16676, 16401, 16399, 16400, 16406, 16455, 21470, 18153, 16444, 16395, 16719, 20523, 16430, 16442, 16415, 19073, 16401, 16399, 16400, 16403, 45680, 16444, 16392, 22911, 16409, 59724, 19841, 21750, 26034, 16397, 49897, 16409, 19841, 21750, 20774, 17135, 27421, 16397, 16604, 16391, 44644, 18215, 16709, 16641, 20117, 16397, 16392, 16604, 16442, 16444, 16474, 19280, 16396, 19974, 16412, 16385, 19327, 16409, 48982, 21956, 16446, 16450, 35054, 16385, 16476, 16444, 16391, 19327, 16402, 16446, 48982, 21956, 16397, 27180, 16392, 16474, 21660, 16412, 16385, 16443, 56315, 16385, 16476, 16582, 16582, 20308, 16421, 36845, 17097, 16709, 18817, 23239, 16409, 16604, 16401, 16387, 16443, 24360, 16387, 16401, 49971, 34003, 23239, 16715, 16647, 28917, 27421, 17743, 38483, 16674, 16715, 16647, 19841, 21750, 20774, 18214, 16462, 18084, 16410, 16674, 17142, 23239, 16715, 16647, 16604, 16391, 16429, 21332, 16392, 21481, 16674, 16647, 22530, 16671, 26063, 16397, 57688, 17097, 21384, 16917, 19035, 16674, 16917, 40472, 26646, 16674, 19198, 16604, 16387, 16443, 23966, 16387, 16399, 16397, 16401, 16466, 16972, 19521, 16709, 16641, 19406, 43641, 16689, 16727, 16401, 16401, 16399, 16399, 16395, 16944, 18199, 16728, 25105, 16715, 17446, 16396, 18489, 21003, 16397, 16582, 16582, 20308, 16421, 16704, 19739, 16671, 18403, 51277, 16734, 19749, 16604, 16393, 56840, 18038, 16393, 16604, 16442, 16415, 16460, 17442, 16723, 17505, 47403, 16458, 16401, 16399, 16399, 16404, 47685, 18258, 16444, 16850, 18466, 17299, 16721, 16811, 32575, 16704, 16804, 50094, 17225, 18010, 16397, 20361, 16673, 16647, 21160, 51277, 16843, 24303, 17254, 17757, 17814, 16466, 23517, 18325, 21014, 16734, 18655, 26903, 18038, 24958, 16397, 20099, 16395, 16811, 32575, 17257, 16804, 21398, 17072, 16604, 17705, 16893, 17282, 16743, 16647, 27024, 17254, 17757, 17814, 16466, 16769, 16409, 16980, 16742, 22281, 16858, 37496, 16741, 17254, 17757, 17814, 16466, 16395, 16742, 20378, 16604, 16400, 16399, 16399, 16388, 16673, 16604, 16393, 20785, 16397, 16393, 16850, 16647, 29822, 17123, 16804, 16703, 19303, 16980, 17259, 19147, 17158, 30782, 16397, 23466, 16395, 16647, 27024, 17254, 17757, 17814, 16466, 16769, 17027, 29054, 16709, 17072, 16604, 17705, 27794, 16925, 16743, 16873, 16769, 16734, 16647, 16604, 16393, 27794, 16661, 21228, 16393, 16604, 16442, 16415, 16460, 17442, 16723, 17505, 47403, 16458, 16401, 16399, 16399, 16404, 47685, 18258, 16444, 16397, 17170, 32575, 21384, 16671, 23467, 16647, 17254, 17757, 17814, 16466, 16859, 16742, 24560, 16641, 19406, 55128, 16409, 16728, 16704, 18138, 16709, 16647, 55803, 16725, 16673, 16641, 29943, 20732, 20774, 16709, 16647, 27024, 17254, 17757, 17814, 16466, 16395, 16741, 16672, 16604, 16442, 16415, 25338, 16877, 16400, 16407, 26469, 20352, 16444, 16397, 17170, 53979, 18783, 18674, 16647, 18980, 16809, 27843, 16667, 21160, 23677, 55128, 16397, 23662, 21972, 17299, 16721, 17199, 16811, 19406, 55128, 30864, 23677, 18466, 16944, 20550, 16466, 16647, 28536, 16673, 16604, 16442, 16415, 16453, 29834, 16401, 16399, 16400, 16403, 62387, 16444, 16395, 16709, 16647, 37024, 16673, 29943, 19696, 16741, 28412, 17035, 16397, 19253, 20184, 16769, 19194, 19648, 16604, 16403, 16397, 16400, 16397, 16582, 16582, 20308, 16421, 16704, 23679, 16709, 18514, 61553, 16409, 17567, 30981, 23905, 24875, 16709, 28072, 24555, 30981, 16409, 21117, 24555, 16395, 16965, 33060, 16674, 18126, 18471, 16604, 16442, 16415, 16458, 23310, 16643, 16469, 28797, 16401, 16399, 16400, 16401, 16706, 23315, 16688, 16410, 16604, 16415, 23966, 18460, 16657, 16401, 16399, 16400, 16403, 16924, 16410, 16604, 16415, 16717, 16723, 17901, 16400, 16406, 16471, 18471, 16444, 16395, 16741, 17204, 16741, 21553, 23947, 16604, 16442, 16415, 25338, 16877, 16400, 16407, 26469, 20352, 16444, 16674, 56290, 16396, 24555, 16604, 16442, 16415, 32424, 16401, 16399, 16400, 16407, 63632, 16444, 55128, 23905, 16397, 21604, 19067, 16647, 25174, 16673, 16811, 19420, 16395, 16811, 23576, 19522, 32957, 18466, 16673, 16647, 21449, 16673, 16647, 19278, 25401, 16395, 21535, 16674, 19115, 17586, 16709, 33776, 16421, 16743, 16466, 18980, 16397, 21166, 24778, 16769, 37589, 16709, 16751, 24561, 18153, 16604, 16442, 16415, 18110, 22820, 16676, 16401, 16399, 16400, 16406, 16455, 21470, 18153, 16444, 16715, 30567, 26384, 16397, 17119, 41934, 17142, 50534, 43713, 16815, 16751, 24561, 18153, 16671, 18077, 21434, 16674, 29992, 28456, 17552, 16397, 24075, 16674, 16604, 16402, 16419, 46033, 28456, 17552, 19335, 16769, 17535, 16709, 16647, 33308, 21534, 16395, 22183, 32621, 16674, 43713, 16604, 16442, 16415, 44826, 21534, 16401, 16399, 16399, 16407, 52560, 19632, 16661, 16410, 16604, 16415, 16722, 35706, 16401, 16399, 16400, 16404, 27048, 16444, 16397, 18708, 24730, 25717, 17299, 16721, 33776, 16421, 16704, 16709, 17707, 16734, 16977, 46339, 51277, 16395, 16944, 23649, 16721, 16647, 20732, 25521, 16674, 20447, 17624, 39297, 16809, 16641, 29943, 16671, 18293, 16641, 21936, 21535, 16704, 16741, 21646, 16741, 17014, 16647, 29943, 16704, 22365, 24875, 16715, 20732, 25939, 16397, 17119, 44878, 17709, 33776, 16421, 16743, 16466, 28456, 17552, 16709, 16604, 16402, 16419, 37528, 16815, 21014, 16672, 16647, 20409, 16673, 16647, 34688, 20714, 16604, 16401, 16399, 16400, 16408, 28072, 36168, 16661, 20929, 16604, 16442, 16415, 44961, 17336, 16400, 16408, 46896, 20051, 16444, 16397, 22483, 17244, 16395, 33776, 16421, 16704, 16709, 17707, 16734, 16977, 46339, 20625, 17199, 17891, 39798, 16646, 20625, 16395, 16693, 16397, 16454, 16397, 16604, 16442, 16415, 25338, 16877, 16400, 16407, 26469, 20352, 16444, 16395, 16769, 16922, 21286, 16715, 17274, 16641, 21535, 16397, 19736, 25691, 16769, 16647, 18211, 16409, 16582, 16582, 16396, 16650, 17119, 17299, 16721, 16641, 29943, 24875, 16709, 16641, 19749, 21936, 21535, 18931, 21110, 20732, 20447, 16672, 16647 ]
[ 0, 16398, 16393, 17700, 16459, 16974, 16396, 47208, 19944, 16396, 21835, 16395, 19944, 16396, 27008, 19894, 16395, 29312, 16395, 16582, 22449, 16396, 19827, 16604, 16393, 16398, 16582, 16582, 16398, 16398, 34832, 16604, 16401, 16399, 16400, 16403, 16772, 50490, 17997, 49540, 16397, 17958, 19503, 28946, 16397, 16582, 16398, 16398, 16582, 16398, 16398, 19941, 16771, 28223, 16674, 17231, 16672, 19419, 16674, 32675, 21497, 16395, 16734, 16785, 17714, 16582, 16398, 16398, 34795, 16395, 16769, 29748, 19194, 16721, 16647, 18211, 19527, 16769, 16582, 16398, 16398, 17820, 16409, 16582, 16398, 16398, 16582, 16398, 16398, 16696, 16393, 19941, 16771, 17273, 18604, 16673, 19419, 19484, 17724, 24095, 16647, 18568, 28238, 16582, 16398, 16398, 20865, 16395, 16811, 17685, 16673, 19527, 16674, 16647, 18211, 54102, 16646, 16397, 16582, 16398, 16398, 16696, 16393, 19941, 16771, 17273, 18604, 16672, 32675, 17510, 17724, 43700, 16647, 18568, 16582, 16398, 16398, 28238, 20865, 16395, 16811, 17685, 16673, 19527, 16674, 16647, 18211, 54102, 16646, 16582, 16398, 16398, 16672, 16647, 29076, 16674, 16398, 16658, 16977, 21024, 19194, 16734, 16647, 16582, 16398, 16398, 21559, 16397, 16582, 16398, 16398, 16696, 16393, 36544, 16647, 17830, 16673, 20521, 19376, 16397, 21575, 16647, 20737, 16673, 17073, 16582, 16398, 16398, 42682, 17123, 16703, 17405, 16671, 33925, 16785, 23129, 19059, 26552, 16815, 16582, 16398, 16398, 16811, 20052, 17714, 18462, 19421, 19517, 26088, 16397, 16582, 16398, 16398, 16582, 16398, 16398, 31926, 26740, 25051, 58353, 20259, 22063, 24038, 18525, 29446, 20084, 40853, 16440, 57565, 16751, 33842, 22697, 21828, 55115, 24676, 20356, 37599, 16582, 16398, 16398, 16604, 16385, 18327, 20259, 16385, 21828, 34038, 27163, 53843, 24580, 28872, 23004, 48223, 58943, 27255, 29381, 16395, 20325, 22695, 26423, 19207, 16395, 38937, 23077, 16582, 16398, 16398, 53575, 44896, 22734, 16395, 20084, 28872, 23004, 48223, 58943, 27255, 29381, 21256, 64824, 20260, 27255, 57597, 21828, 61633, 54571, 24635, 16582, 16398, 16398, 16711, 46785, 18359, 60431, 56581, 16431, 35225, 33176, 40277, 16418, 21759, 19806, 18525, 16397, 20325, 25922, 28977, 20512, 26247, 23379, 20084, 40853, 16440, 57565, 16582, 16398, 16398, 16830, 40011, 17528, 24580, 55115, 24676, 20356, 37599, 27495, 38259, 29305, 24635, 34038, 62617, 16395, 41418, 46262, 16395, 46101, 47790, 18189, 16395, 16582, 16398, 16398, 58638, 30196, 16395, 27163, 20321, 23004, 31026, 16395, 24580, 25885, 19890, 22914, 20512, 30196, 55142, 55264, 16604, 16391, 17681, 22695, 26423, 19207, 16395, 38937, 23077, 16582, 16398, 16398, 53575, 44896, 22734, 16395, 63285, 27310, 27630, 21256, 60868, 17904, 18317, 48186, 48021, 16434, 24580, 49449, 52483, 16410, 16790, 39024, 21256, 53324, 16395, 16582, 16398, 16398, 64882, 16395, 24580, 22063, 35742, 45916, 16410, 24580, 16738, 54827, 40753, 42257, 27213, 19429, 16392, 47970, 16420, 23817, 23279, 64508, 21828, 23272, 34038, 16582, 16398, 16398, 20084, 34202, 21256, 38259, 57597, 16395, 16762, 18743, 44270, 20325, 55115, 26878, 16395, 43547, 37525, 38259, 57597, 16395, 24580, 16700, 26060, 16582, 16398, 16398, 16604, 16391, 17681, 22695, 26423, 19207, 16793, 24902, 16427, 19075, 36952, 24580, 51796, 16438, 41522, 16392, 23738, 18629, 19207, 20325, 34038, 48640, 36710, 21256, 20084, 53324, 16582, 16398, 16398, 21256, 31926, 26740, 25051, 58353, 16395, 28977, 18144, 30956, 22992, 46804, 18525, 21256, 20084, 16739, 39024, 24676, 44791, 21256, 25588, 20260, 55142, 25431, 16397, 16582, 16582, 16398, 16393, 16393, 16582, 16604, 16393, 34832, 16604, 16401, 16399, 16400, 16407, 16396, 16401, 16399, 16401, 16399, 20674, 17060, 25042, 31811, 16604, 16391, 16853, 18851, 21761, 16392, 16604, 16411, 21576, 16415, 16464, 17406, 45910, 16397, 18431, 16413, 16582, 16604, 16393, 16582, 16604, 16393, 17170, 19471, 16704, 17015, 16673, 22565, 17406, 45910, 16397, 16582, 16604, 16393, 16582, 16604, 16393, 22565, 17406, 45910, 16704, 17953, 20052, 16409, 16732, 16843, 39819, 21159, 16728, 16674, 16398, 16658, 33157, 16582, 16604, 16393, 16728, 17131, 16647, 19246, 16673, 16647, 54386, 20405, 20861, 31010, 16741, 19807, 16809, 16582, 16604, 16393, 16647, 22666, 27951, 21945, 16395, 18422, 19288, 16604, 16402, 16673, 16647, 31010, 16395, 16785, 16582, 16604, 16393, 16604, 16391, 16649, 16912, 20328, 16392, 16998, 18242, 19288, 16397, 16582, 16604, 16393, 16582, 16604, 16393, 22565, 17406, 45910, 16704, 25956, 16672, 16647, 18453, 16721, 16728, 16868, 16703, 21221, 16395, 16582, 16604, 16393, 16850, 61781, 34038, 58943, 18013, 24089, 16410, 17714, 17199, 16647, 36094, 39048, 16673, 16582, 16604, 16393, 64824, 20260, 27255, 57597, 16785, 61633, 54571, 24635, 16711, 46785, 18359, 60431, 56581, 16431, 35225, 16397, 16650, 23531, 16647, 16582, 16604, 16393, 54386, 20405, 20861, 31010, 16715, 16922, 20184, 16397, 16582, 16604, 16393, 16582, 16604, 16393, 17332, 17208, 16807, 19151, 16641, 20600, 16673, 16647, 54386, 20405, 20861, 31010, 16582, 16604, 16393, 18184, 16734, 22565, 17406, 45910, 16397, 16650, 17991, 16804, 16395, 17134, 16604, 16411, 19020, 16409, 16398, 16398, 18409, 16397, 20226, 16468, 16397, 18431, 16398, 17006, 21613, 16398, 16413, 16397, 16582, 16604, 16393, 16398, 16582, 16582, 16398, 16393, 16393, 16582, 16604, 16393, 20509, 16665, 52892, 16396, 20771, 46810, 22448, 16661, 24917, 16397, 16582, 16604, 16393, 20782, 16409, 16398, 16398, 23076, 16397, 50786, 17997, 16397, 18431, 16398, 50786, 17997, 16398, 27333, 16398, 21031, 16398, 28205, 18688, 16398, 63378, 16398, 20771, 46810, 22448, 16661, 16398, 16582, 16604, 16393, 16582, 16604, 16393, 16772, 20937, 16704, 18138, 16709, 37476, 21794, 16390, 16466, 17763, 25635, 18230, 16409, 16582, 16604, 16393, 16650, 19562, 16409, 16398, 16398, 18409, 16397, 22019, 42735, 16397, 18431, 16398, 28205, 16398, 18578, 20306, 16398, 17491, 44535, 16582, 16604, 16393, 16582, 16604, 16393, 16772, 16917, 23956, 16704, 16721, 35470, 16704, 17405, 16671, 24660, 16891, 16673, 16641, 17510, 18123, 16395, 16582, 16604, 16393, 18661, 17032, 16914, 21270, 18474, 16604, 16391, 21202, 17930, 16390, 16467, 17672, 16671, 16985, 16672, 16647, 16582, 16604, 16393, 20120, 47069, 22464, 16392, 16397, 16582, 16604, 16393, 16582, 16604, 16393, 19214, 20184, 16931, 17072, 37486, 22525, 18786, 16395, 16944, 16868, 17261, 16672, 16582, 16604, 16393, 20287, 16647, 19484, 16409, 16582, 16604, 16393, 16582, 16604, 16393, 16772, 47399, 18597, 16604, 16391, 29539, 16397, 17079, 39084, 16391, 16392, 16392, 16872, 17910, 22539, 16721, 16582, 16604, 16393, 19765, 23467, 16647, 17731, 16673, 16647, 17534, 16467, 16785, 22525, 16409, 16582, 16604, 16393, 16582, 16604, 16393, 19300, 16674, 35170, 16409, 16811, 16704, 16647, 17298, 16673, 16647, 22525, 16395, 16647, 22184, 17411, 16397, 16582, 16604, 16393, 23614, 16674, 18314, 16409, 16811, 16704, 16647, 17291, 16673, 16647, 22525, 16395, 16647, 17015, 16721, 16582, 16604, 16393, 16696, 24049, 17014, 16732, 18262, 17285, 23247, 16674, 18512, 16647, 17939, 16785, 17262, 42913, 16397, 16582, 16604, 16393, 16582, 16604, 16393, 18196, 16647, 22525, 16704, 16641, 47111, 16395, 16647, 19300, 16395, 35170, 16395, 23614, 16395, 16674, 18314, 16769, 16582, 16604, 16393, 16858, 16647, 17396, 16397, 16582, 16604, 16393, 16582, 16604, 16393, 17664, 16390, 16466, 17097, 16917, 17005, 17014, 16647, 19300, 16674, 35170, 16769, 16804, 16647, 17396, 16395, 16785, 16647, 16582, 16604, 16393, 23614, 16674, 18314, 16769, 16804, 16647, 17396, 16395, 16674, 16721, 16390, 16466, 17014, 16647, 22525, 16704, 16672, 16582, 16604, 16393, 16667, 49475, 17731, 16604, 16396, 17226, 16397, 16452, 16397, 16728, 16390, 16466, 16804, 18271, 16944, 22265, 16704, 16647, 18314, 16674, 16944, 16582, 16604, 16393, 16704, 16647, 35170, 16397, 17376, 16667, 18185, 16395, 16980, 16732, 20639, 16396, 28180, 16671, 21112, 16641, 19189, 16395, 17177, 16582, 16604, 16393, 16647, 20937, 16704, 27158, 16709, 16912, 17718, 18865, 16397, 17426, 16732, 18512, 57782, 16394, 26380, 16395, 16582, 16604, 16393, 16647, 17262, 22265, 21083, 16647, 18314, 16397, 17403, 16980, 16732, 18512, 57782, 16394, 29752, 16395, 16647, 17939, 16582, 16604, 16393, 22265, 21083, 16647, 18314, 16397, 16582, 16604, 16393, 16582, 16604, 16393, 18196, 16647, 22525, 16704, 16672, 16667, 49475, 17731, 16395, 16647, 19300, 16674, 23614, 16769, 17280, 16582, 16604, 16393, 16671, 16647, 18583, 17187, 16647, 27029, 43086, 16395, 16674, 16647, 35170, 16674, 18314, 16769, 17280, 16582, 16604, 16393, 16671, 16647, 28847, 16673, 16647, 22525, 16397, 16582, 16604, 16393, 16582, 16604, 16393, 16772, 17097, 17210, 16671, 17280, 16647, 22525, 16674, 17882, 16728, 20715, 16704, 16671, 17231, 16582, 16604, 16393, 16647, 17975, 16396, 36904, 47399, 16397, 17793, 25993, 18111, 23556, 16682, 18197, 16397, 17426, 16732, 17590, 16671, 17231, 16582, 16604, 16393, 47399, 16397, 18341, 29768, 16391, 16392, 16395, 16647, 35170, 16868, 17686, 16703, 16709, 16647, 17939, 16674, 16647, 18314, 16582, 16604, 16393, 16868, 17686, 16703, 16709, 16647, 17262, 16395, 18065, 16728, 22916, 16671, 41937, 16582, 16604, 16393, 45615, 16721, 18062, 16815, 17262, 16671, 17939, 16397, 16582, 16604, 16393, 16582, 16604, 16393, 24229, 16395, 37486, 16868, 20105, 16667, 23956, 16980, 16732, 17590, 16671, 17280, 16667, 32902, 16582, 16604, 16393, 22525, 16604, 16396, 16641, 22525, 17187, 16647, 17939, 16674, 17262, 30317, 16769, 16804, 16647, 17396, 16395, 16582, 16604, 16393, 16850, 16728, 17930, 16390, 16467, 28363, 16998, 25350, 20229, 16397, 16711, 18545, 18185, 16704, 16721, 16582, 16604, 16393, 16986, 16769, 18143, 17259, 37474, 22987, 20229, 16672, 16647, 45279, 16721, 16769, 16804, 16582, 16604, 16393, 25350, 16709, 16647, 19242, 16410, 18387, 16671, 21112, 17007, 16868, 18527, 16397, 23638, 18185, 16704, 16582, 16604, 16393, 16998, 23314, 16721, 16390, 16466, 35458, 16785, 16804, 26923, 16397, 16582, 16604, 16393, 16582, 16604, 16393, 19814, 16986, 16769, 18366, 17259, 18230, 20625, 16671, 21349, 17016, 16704, 16582, 16604, 16393, 21112, 16925, 16395, 16811, 19484, 20760, 16647, 18197, 16673, 28845, 16980, 16986, 16390, 16466, 16641, 21038, 16582, 16604, 16393, 21011, 16661, 19855, 16715, 16647, 18898, 16785, 16804, 16604, 16396, 17754, 20069, 16647, 47111, 48675, 18015, 16582, 16604, 16393, 16647, 18898, 16815, 16647, 18722, 18583, 16674, 22886, 17718, 18583, 16872, 16641, 16582, 16604, 16393, 21038, 21011, 16661, 19855, 16397, 16582, 16604, 16393, 16398, 16582, 16582, 16385, 16893, 23941, 16385, 16410, 16582, 16582, 29539, 16397, 16446, 16464, 17406, 45910, 16397, 20771, 16467, 16604, 16412, 16604, 16391, 18570, 16391, 16392, 16604, 16474, 16582, 16696, 18570, 16704, 22334, 17071, 20020, 16970, 16391, 22544, 16392, 16604, 16474, 16582, 16696, 16696, 17901, 17226, 16410, 16582, 16696, 16696, 17901, 21011, 16661, 34815, 16604, 16412, 16604, 16391, 22544, 16397, 17079, 24832, 34815, 16466, 16391, 16392, 16442, 16399, 16444, 16604, 16475, 16475, 16582, 16696, 16696, 16696, 22544, 16397, 17079, 16417, 27924, 24832, 34815, 16391, 16392, 16392, 16410, 16582, 16582, 16696, 16696, 16736, 16604, 16391, 26306, 16661, 34815, 16397, 21660, 16604, 16411, 16412, 16604, 16400, 16604, 16389, 16389, 21011, 16661, 34815, 16397, 25666, 16604, 16411, 16412, 16604, 16400, 16392, 16604, 16474, 16582, 16696, 16696, 16696, 19886, 28433, 16466, 16604, 16412, 23314, 16397, 17079, 24832, 34815, 16466, 16391, 16392, 16410, 16582, 16696, 16696, 16696, 17756, 16604, 16391, 16456, 16604, 16412, 16604, 16399, 16410, 17226, 16604, 16411, 28433, 16466, 16397, 20517, 16410, 17226, 16394, 16394, 16392, 16604, 16474, 16582, 16696, 16696, 16696, 16696, 16736, 16604, 16391, 18999, 16466, 16442, 16456, 16444, 16397, 21660, 16604, 16413, 28433, 16466, 16442, 16399, 16444, 16397, 25666, 16604, 16389, 16389, 16582, 16696, 16696, 16696, 16696, 16696, 18999, 16466, 16442, 16456, 16444, 16397, 25666, 16604, 16413, 28433, 16466, 16442, 16399, 16444, 16397, 25666, 16392, 16604, 16474, 16582, 16696, 16696, 16696, 16696, 16696, 26306, 16661, 34815, 16604, 16412, 28433, 16466, 16442, 16456, 16444, 16410, 16582, 16696, 16696, 16696, 16696, 16476, 16582, 16696, 16696, 16696, 16476, 16582, 16696, 16696, 16476, 16582, 16696, 16696, 16736, 16604, 16391, 26306, 16661, 34815, 16604, 16412, 16412, 16412, 33626, 16392, 16604, 16474, 16582, 16696, 16696, 16696, 17501, 19321, 16410, 16582, 16696, 16696, 16476, 16582, 16696, 16696, 16736, 16604, 16391, 26306, 16661, 34815, 16397, 21635, 16604, 16413, 24296, 29071, 16604, 16475, 16475, 21011, 16661, 34815, 16397, 19911, 16604, 16413, 24296, 27645, 16392, 16604, 16474, 16582, 16696, 16696, 16696, 17501, 19321, 16410, 16582, 16696, 16696, 16476, 16582, 16696, 16696, 16736, 16604, 16391, 26306, 16661, 34815, 16397, 21660, 16604, 16411, 16412, 16604, 16400, 16604, 16475, 16475, 21011, 16661, 34815, 16397, 25666, 16604, 16411, 16412, 16604, 16400, 16392, 16604, 16474, 16582, 16696, 16696, 16696, 19886, 17968, 16604, 16412, 23314, 16397, 26578, 16410, 16582, 16696, 16696, 16696, 17901, 25350, 27091, 22028, 16604, 16412, 19506, 16410, 16582, 16696, 16696, 16696, 17756, 16604, 16391, 16456, 16604, 16412, 16604, 16399, 16410, 17226, 16604, 16411, 17968, 16397, 20517, 16410, 16604, 16394, 16394, 16456, 16392, 16604, 16474, 16582, 16696, 16696, 16696, 16696, 26306, 16661, 34815, 16604, 16412, 16604, 16391, 26578, 16442, 16456, 16444, 16397, 17079, 24832, 34815, 16466, 16391, 16392, 16442, 16399, 16444, 16604, 16475, 16475, 16582, 16696, 16696, 16696, 16696, 16696, 26578, 16442, 16456, 16444, 16397, 17079, 16417, 27924, 24832, 34815, 16391, 16392, 16392, 16410, 16582, 16696, 16696, 16696, 16696, 16736, 16604, 16391, 26306, 16661, 34815, 16397, 21660, 16604, 16413, 16604, 16400, 16604, 16389, 16389, 21011, 16661, 34815, 16397, 25666, 16604, 16413, 16604, 16400, 16392, 16604, 16474, 16582, 16696, 16696, 16696, 16696, 16696, 37837, 27091, 22028, 16604, 16412, 18159, 16410, 16582, 16696, 16696, 16696, 16696, 16696, 20877, 16410, 16582, 16696, 16696, 16696, 16696, 16476, 16582, 16696, 16696, 16696, 16476, 16582, 16696, 16696, 16696, 16736, 16604, 16391, 37837, 27091, 22028, 16604, 16412, 16412, 16412, 19506, 16392, 16604, 16474, 16582, 16696, 16696, 16696, 16696, 17501, 19321, 16410, 16582, 16696, 16696, 16696, 16476, 16582, 16696, 16696, 16476, 16582, 16696, 16696, 16736, 16604, 16391, 26306, 16661 ]
[ 0, 18922, 51655, 23096, 53894, 16391, 18431, 16397, 26645, 16397, 52688, 16397, 18008, 16397, 27629, 16420, 33373, 20499, 21376, 16392, 16582, 18922, 51655, 23096, 16391, 18431, 16397, 26645, 16397, 52688, 16397, 18008, 16397, 27629, 16420, 33373, 20499, 21376, 16392, 16582, 18922, 51655, 16391, 18431, 16397, 26645, 16397, 52688, 16397, 18008, 16397, 27629, 16420, 33373, 20499, 21376, 16392, 16582, 18922, 51655, 53894, 16391, 18431, 16397, 26645, 16397, 52688, 16397, 18008, 16397, 30295, 30980, 20499, 21376, 16392, 16582, 18922, 51655, 23096, 53894, 16391, 18431, 16397, 26645, 16397, 52688, 16397, 18008, 16397, 30295, 30980, 20499, 21376, 16392, 16582, 18922, 51655, 23096, 16391, 18431, 16397, 26645, 16397, 52688, 16397, 18008, 16397, 30295, 30980, 20499, 21376, 16392, 16582, 18922, 51655, 16391, 18431, 16397, 26645, 16397, 52688, 16397, 18008, 16397, 30295, 30980, 20499, 21376, 16392, 16582, 18922, 61832, 16391, 18431, 16397, 26645, 16397, 52688, 16397, 18008, 16397, 30295, 20499, 21376, 16392, 16582, 18922, 51655, 53894, 16391, 18431, 16397, 26645, 16397, 52688, 16397, 18008, 16397, 30295, 20499, 21376, 16392, 16582, 18922, 51655, 23096, 53894, 16391, 18431, 16397, 26645, 16397, 52688, 16397, 18008, 16397, 30295, 20499, 21376, 16392, 16582, 18922, 51655, 23096, 16391, 18431, 16397, 26645, 16397, 52688, 16397, 18008, 16397, 30295, 20499, 21376, 16392, 16582, 18922, 34678, 56859, 16391, 18431, 16397, 26645, 16397, 52688, 16397, 18008, 16397, 30295, 20499, 21376, 16392, 16582, 18922, 51655, 16391, 18431, 16397, 26645, 16397, 52688, 16397, 18008, 16397, 30295, 20499, 21376, 16392, 16582, 18922, 20811, 25777, 20310, 34112, 16725, 22822, 16391, 18431, 16397, 26645, 16397, 52688, 16397, 18008, 16397, 36688, 16397, 16417, 17146, 16839, 16434, 30147, 21376, 16392, 16582, 18922, 20811, 58388, 27263, 16713, 18440, 16391, 18431, 16397, 26645, 16397, 52688, 16397, 18008, 16397, 36688, 16397, 16417, 17146, 16839, 16434, 30147, 21376, 16392, 16582, 18922, 20811, 59349, 27263, 16713, 18440, 16391, 18431, 16397, 26645, 16397, 52688, 16397, 18008, 16397, 36688, 16397, 16417, 17146, 16839, 16434, 30147, 21376, 16392, 16582, 18922, 61832, 16391, 18431, 16397, 26645, 16397, 52688, 16397, 18008, 16397, 36688, 16397, 16417, 17146, 16839, 16434, 30147, 21376, 16392, 16582, 18922, 20811, 27629, 20190, 27263, 16713, 18440, 16391, 18431, 16397, 26645, 16397, 52688, 16397, 18008, 16397, 36688, 16397, 16417, 17146, 16839, 16434, 30147, 21376, 16392, 16582, 18922, 56684, 58388, 27263, 16713, 18440, 16391, 18431, 16397, 26645, 16397, 52688, 16397, 18008, 16397, 36688, 16397, 16417, 17146, 16839, 16434, 30147, 21376, 16392, 16582, 18922, 56684, 59349, 27263, 16713, 18440, 16391, 18431, 16397, 26645, 16397, 52688, 16397, 18008, 16397, 36688, 16397, 16417, 17146, 16839, 16434, 30147, 21376, 16392, 16582, 18922, 56684, 25777, 20310, 34112, 16725, 22822, 16391, 18431, 16397, 26645, 16397, 52688, 16397, 18008, 16397, 36688, 16397, 16417, 17146, 16839, 16434, 30147, 21376, 16392, 16582, 18922, 56684, 27629, 20190, 27263, 16713, 18440, 16391, 18431, 16397, 26645, 16397, 52688, 16397, 18008, 16397, 36688, 16397, 16417, 17146, 16839, 16434, 30147, 21376, 16392, 16582, 18922, 19401, 16974, 16675, 39391, 16391, 18431, 16397, 26645, 16397, 52688, 16397, 18008, 16397, 36688, 16397, 16417, 17146, 16839, 16434, 30147, 21376, 16392, 16582, 18922, 49383, 39391, 16391, 18431, 16397, 26645, 16397, 52688, 16397, 18008, 16397, 36688, 16397, 16417, 17146, 16839, 16434, 30147, 21376, 16392, 16582, 18922, 32044, 23488, 28926, 16391, 18431, 16397, 26645, 16397, 52688, 16397, 18008, 16397, 36688, 16397, 16417, 17018, 16434, 30147, 21376, 16392, 16582, 18922, 19401, 16974, 16675, 39391, 16391, 18431, 16397, 26645, 16397, 52688, 16397, 18008, 16397, 36688, 16397, 16417, 17018, 16434, 30147, 21376, 16392, 16582, 18922, 49383, 39391, 16391, 18431, 16397, 26645, 16397, 52688, 16397, 18008, 16397, 36688, 16397, 16417, 17018, 16434, 30147, 21376, 16392, 16582, 18922, 51655, 53894, 16391, 18431, 16397, 26645, 16397, 52688, 16397, 18008, 16397, 36688, 16397, 18186, 16722, 27877, 20499, 21376, 16392, 16582, 18922, 51655, 23096, 53894, 16391, 18431, 16397, 26645, 16397, 52688, 16397, 18008, 16397, 36688, 16397, 18186, 16722, 27877, 20499, 21376, 16392, 16582, 18922, 51655, 23096, 16391, 18431, 16397, 26645, 16397, 52688, 16397, 18008, 16397, 36688, 16397, 18186, 16722, 27877, 20499, 21376, 16392, 16582, 18922, 51655, 16391, 18431, 16397, 26645, 16397, 52688, 16397, 18008, 16397, 36688, 16397, 18186, 16722, 27877, 20499, 21376, 16392, 16582, 18922, 33968, 16391, 18431, 16397, 26645, 16397, 52688, 16397, 18008, 16397, 36688, 16397, 16419, 52681, 16419, 36204, 22664, 27751, 17662, 21376, 16392, 16582, 18922, 49383, 27629, 16391, 18431, 16397, 26645, 16397, 52688, 16397, 18008, 16397, 36688, 16397, 16419, 52681, 16419, 36204, 22664, 27751, 17662, 21376, 16392, 16582, 18922, 18069, 19673, 16400, 27629, 16391, 18431, 16397, 26645, 16397, 52688, 16397, 18008, 16397, 36688, 16397, 16419, 52681, 16419, 36204, 22664, 27751, 17662, 21376, 16392, 16582, 18922, 57697, 27629, 16391, 18431, 16397, 26645, 16397, 52688, 16397, 18008, 16397, 36688, 16397, 16427, 16750, 22168, 16644, 16434, 30147, 21376, 16392, 16582, 18922, 19401, 16705, 40187, 27629, 16391, 18431, 16397, 26645, 16397, 52688, 16397, 18008, 16397, 36688, 16397, 16427, 16750, 22168, 16644, 16434, 30147, 21376, 16392, 16582, 18922, 33968, 16391, 18431, 16397, 26645, 16397, 52688, 16397, 18008, 16397, 36688, 16397, 16427, 16750, 22168, 16644, 16434, 30147, 21376, 16392, 16582, 18922, 19401, 16974, 16675, 27629, 16401, 16391, 18431, 16397, 26645, 16397, 52688, 16397, 18008, 16397, 36688, 16397, 16427, 16750, 22168, 16644, 16434, 30147, 21376, 16392, 16582, 18922, 19401, 16974, 16675, 27629, 16391, 18431, 16397, 26645, 16397, 52688, 16397, 18008, 16397, 36688, 16397, 16427, 16750, 22168, 16644, 16434, 30147, 21376, 16392, 16582, 18922, 18069, 19673, 16400, 27629, 16401, 16391, 18431, 16397, 26645, 16397, 52688, 16397, 18008, 16397, 36688, 16397, 16428, 17074, 16646, 16434, 30147, 21376, 16392, 16582, 18922, 33968, 16391, 18431, 16397, 26645, 16397, 52688, 16397, 18008, 16397, 36688, 16397, 16428, 17074, 16646, 16434, 30147, 21376, 16392, 16582, 18922, 49383, 27629, 16391, 18431, 16397, 26645, 16397, 52688, 16397, 18008, 16397, 36688, 16397, 16428, 17074, 16646, 16434, 30147, 21376, 16392, 16582, 18922, 19401, 16974, 16675, 27629, 16401, 16391, 18431, 16397, 26645, 16397, 52688, 16397, 18008, 16397, 36688, 16397, 16428, 17074, 16646, 16434, 30147, 21376, 16392, 16582, 18922, 18069, 19673, 16400, 27629, 16391, 18431, 16397, 26645, 16397, 52688, 16397, 18008, 16397, 36688, 16397, 16428, 17074, 16646, 16434, 30147, 21376, 16392, 16582, 18922, 49383, 27629, 16401, 16391, 18431, 16397, 26645, 16397, 52688, 16397, 18008, 16397, 36688, 16397, 16428, 17074, 16646, 16434, 30147, 21376, 16392, 16582, 18922, 19401, 16974, 16675, 27629, 16391, 18431, 16397, 26645, 16397, 52688, 16397, 18008, 16397, 36688, 16397, 16428, 17074, 16646, 16434, 30147, 21376, 16392, 16582, 18922, 33968, 16391, 18431, 16397, 26645, 16397, 52688, 16397, 18008, 16397, 36688, 16397, 65017, 19012, 22664, 27751, 17662, 21376, 16392, 16582, 18922, 49383, 27629, 16391, 18431, 16397, 26645, 16397, 52688, 16397, 18008, 16397, 36688, 16397, 65017, 19012, 22664, 27751, 17662, 21376, 16392, 16582, 18922, 18069, 19673, 16400, 27629, 16391, 18431, 16397, 26645, 16397, 52688, 16397, 18008, 16397, 36688, 16397, 65017, 19012, 22664, 27751, 17662, 21376, 16392, 16582, 18922, 61832, 16391, 18431, 16397, 26645, 16397, 52688, 16397, 18008, 16397, 36688, 16397, 19524, 17475, 16434, 30147, 21376, 16392, 16582, 18922, 19401, 16974, 16675, 39391, 16391, 18431, 16397, 26645, 16397, 52688, 16397, 18008, 16397, 36688, 16397, 19524, 17475, 16434, 30147, 21376, 16392, 16582, 18922, 49383, 39391, 16391, 18431, 16397, 26645, 16397, 52688, 16397, 18008, 16397, 36688, 16397, 19524, 17475, 16434, 30147, 21376, 16392, 16582, 18922, 57697, 27629, 16391, 18431, 16397, 26645, 16397, 52688, 16397, 18008, 16397, 36688, 16397, 39185, 27875, 17002, 27629, 16427, 16750, 24193, 21307, 21376, 16392, 16582, 18922, 19401, 16705, 40187, 27629, 16391, 18431, 16397, 26645, 16397, 52688, 16397, 18008, 16397, 36688, 16397, 39185, 27875, 17002, 27629, 16427, 16750, 24193, 21307, 21376, 16392, 16582, 18922, 33968, 16391, 18431, 16397, 26645, 16397, 52688, 16397, 18008, 16397, 36688, 16397, 39185, 27875, 17002, 27629, 16427, 16750, 24193, 21307, 21376, 16392, 16582, 18922, 19401, 16974, 16675, 27629, 16391, 18431, 16397, 26645, 16397, 52688, 16397, 18008, 16397, 36688, 16397, 39185, 27875, 17002, 27629, 16427, 16750, 24193, 21307, 21376, 16392, 16582, 18922, 57697, 27629, 16391, 18431, 16397, 26645, 16397, 52688, 16397, 18008, 16397, 36688, 16397, 39185, 27875, 17002, 27629, 19524, 17475, 21307, 21376, 16392, 16582, 18922, 19401, 16705, 40187, 27629, 16391, 18431, 16397, 26645, 16397, 52688, 16397, 18008, 16397, 36688, 16397, 39185, 27875, 17002, 27629, 19524, 17475, 21307, 21376, 16392, 16582, 18922, 33968, 16391, 18431, 16397, 26645, 16397, 52688, 16397, 18008, 16397, 36688, 16397, 39185, 27875, 17002, 27629, 19524, 17475, 21307, 21376, 16392, 16582, 18922, 19401, 16974, 16675, 27629, 16391, 18431, 16397, 26645, 16397, 52688, 16397, 18008, 16397, 36688, 16397, 39185, 27875, 17002, 27629, 19524, 17475, 21307, 21376, 16392, 16582, 18922, 19401, 16705, 40187, 16391, 18431, 16397, 26645, 16397, 52688, 16397, 18008, 16397, 36688, 16397, 39185, 27875, 17002, 27629, 21376, 16392, 16582, 18922, 41653, 16391, 18431, 16397, 26645, 16397, 52688, 16397, 18008, 16397, 36688, 16397, 39185, 27875, 17002, 27629, 21376, 16392, 16582, 18922, 19401, 16974, 16675, 16391, 18431, 16397, 26645, 16397, 52688, 16397, 18008, 16397, 36688, 16397, 39185, 27875, 17002, 27629, 21376, 16392, 16582, 18922, 57697, 16391, 18431, 16397, 26645, 16397, 52688, 16397, 18008, 16397, 36688, 16397, 39185, 27875, 17002, 27629, 21376, 16392, 16582, 18922, 24152, 27038, 16821, 17225, 38694, 17570, 16391, 18431, 16397, 26645, 16397, 52688, 16397, 18008, 16397, 36688, 16397, 39185, 27875, 17002, 27629, 21376, 16392, 16582, 18922, 33098, 16391, 18431, 16397, 26645, 16397, 52688, 16397, 18008, 16397, 36688, 16397, 39185, 27875, 17002, 51431, 16856, 27629, 21376, 16392, 16582, 18922, 51655, 16391, 18431, 16397, 26645, 16397, 52688, 16397, 18008, 16397, 36688, 16397, 39185, 27875, 17002, 51431, 16856, 27629, 21376, 16392, 16582, 18922, 33968, 16391, 18431, 16397, 26645, 16397, 52688, 16397, 18008, 16397, 36688, 16397, 16433, 18427, 16756, 16434, 30147, 21376, 16392, 16582, 18922, 49383, 27629, 16391, 18431, 16397, 26645, 16397, 52688, 16397, 18008, 16397, 36688, 16397, 16433, 18427, 16756, 16434, 30147, 21376, 16392, 16582, 18922, 18069, 19673, 16400, 27629, 16391, 18431, 16397, 26645, 16397, 52688, 16397, 18008, 16397, 36688, 16397, 16433, 18427, 16756, 16434, 30147, 21376, 16392, 16582, 18922, 19401, 16974, 16675, 27629, 16391, 18431, 16397, 26645, 16397, 52688, 16397, 18008, 16397, 36688, 16397, 16433, 18427, 16756, 16434, 30147, 21376, 16392, 16582, 18922, 33968, 16391, 18431, 16397, 26645, 16397, 52688, 16397, 18008, 16397, 36688, 16397, 39095, 20434, 45441, 17662, 21376, 16392, 16582, 18922, 49383, 27629, 16391, 18431, 16397, 26645, 16397, 52688, 16397, 18008, 16397, 36688, 16397, 39095, 20434, 45441, 17662, 21376, 16392, 16582, 18922, 19401, 16974, 16675, 27629, 16391, 18431, 16397, 26645, 16397, 52688, 16397, 18008, 16397, 36688, 16397, 39095, 20434, 45441, 17662, 21376, 16392, 16582, 18922, 33968, 16391, 18431, 16397, 26645, 16397, 52688, 16397, 18008, 16397, 36688, 16397, 23586, 25764, 45441, 17662, 21376, 16392, 16582, 18922, 49383, 27629, 16391, 18431, 16397, 26645, 16397, 52688, 16397, 18008, 16397, 36688, 16397, 23586, 25764, 45441, 17662, 21376, 16392, 16582, 18922, 19401, 16974, 16675, 27629, 16391, 18431, 16397, 26645, 16397, 52688, 16397, 18008, 16397, 36688, 16397, 23586, 25764, 45441, 17662, 21376, 16392, 16582, 18922, 22664, 16463, 25200, 49383, 16391, 18431, 16397, 26645, 16397, 52688, 16397, 18008, 16397, 36688, 16397, 51431, 16856, 22664, 27751, 17662, 21376, 16392, 16582, 18922, 22664, 16463, 25200, 57697, 19577, 43868, 23930, 49199, 16391, 18431, 16397, 26645, 16397, 52688, 16397, 18008, 16397, 36688, 16397, 51431, 16856, 22664, 27751, 17662, 21376, 16392, 16582, 18922, 64678, 51036, 16391, 18431, 16397, 26645, 16397, 52688, 16397, 18008, 16397, 36688, 16397, 51431, 16856, 22664, 27751, 17662, 21376, 16392, 16582, 18922, 22664, 16463, 25200, 57697, 16391, 18431, 16397, 26645, 16397, 52688, 16397, 18008, 16397, 36688, 16397, 51431, 16856, 22664, 27751, 17662, 21376, 16392, 16582, 18922, 22664, 16463, 25200, 57697, 19577, 43868, 28663, 49199, 16391, 18431, 16397, 26645, 16397, 52688, 16397, 18008, 16397, 36688, 16397, 51431, 16856, 22664, 27751, 17662, 21376, 16392, 16582, 18922, 33968, 16391, 18431, 16397, 26645, 16397, 52688, 16397, 18008, 16397, 36688, 16397, 23226, 47062, 17819, 45441, 17662, 21376, 16392, 16582, 18922, 49383, 27629, 16391, 18431, 16397, 26645, 16397, 52688, 16397, 18008, 16397, 36688, 16397, 23226, 47062, 17819, 45441, 17662, 21376, 16392, 16582, 18922, 19401, 16974, 16675, 27629, 16391, 18431, 16397, 26645, 16397, 52688, 16397, 18008, 16397, 36688, 16397, 23226, 47062, 17819, 45441, 17662, 21376, 16392, 16582, 18922, 19524, 16417, 17018, 16434, 30147, 28345, 16391, 18431, 16397, 26645, 16397, 52688, 16397, 18008, 16397, 36688, 16397, 18495, 47037, 28870, 16434, 30147, 26983, 32921, 21376, 16392, 16582, 18922, 19524, 16417, 17146, 16839, 16434, 30147, 28345, 16391, 18431, 16397, 26645, 16397, 52688, 16397, 18008, 16397, 36688, 16397, 18495, 47037, 28870, 16434, 30147, 26983, 32921, 21376, 16392, 16582, 18922, 19524, 16417, 17018, 16434, 30147, 25990, 16391, 18431, 16397, 26645, 16397, 52688, 16397, 18008, 16397, 36688, 16397, 18495, 47037, 28870, 16434, 30147, 26983, 32921, 21376, 16392, 16582, 18922, 19524, 16417, 17146, 16839, 16434, 30147, 25990, 16391, 18431, 16397, 26645, 16397, 52688, 16397, 18008, 16397, 36688, 16397, 18495, 47037, 28870, 16434, 30147, 26983, 32921, 21376, 16392, 16582, 18922, 19524, 19524, 17475, 16434, 30147, 25990, 16391, 18431, 16397, 26645, 16397, 52688, 16397, 18008, 16397, 36688, 16397, 18495, 47037, 28870, 16434, 30147, 26983, 32921, 21376 ]
[ 0, 19315, 21646, 17586, 16769, 17989, 16647, 28736, 16674, 17073, 52433, 22698, 22456, 16397, 16582, 16582, 38194, 16604, 16474, 16386, 19810, 16399, 16399, 16400, 16476, 16582, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16582, 16582, 16429, 16765, 18758, 22525, 16704, 16641, 18474, 22825, 16673, 20426, 36065, 16672, 16783, 16775, 27922, 16604, 16443, 16442, 16442, 16415, 16463, 16877, 16397, 16399, 16401, 16400, 16401, 16405, 16405, 16407, 16397, 18452, 16399, 16399, 16400, 16444, 16443, 16444, 16397, 27918, 20310, 19527, 16767, 16641, 36065, 18758, 16769, 31503, 16809, 19705, 20671, 16395, 17789, 17490, 16836, 31524, 16674, 18783, 22585, 22539, 16741, 17204, 16741, 16914, 26459, 16604, 16443, 16442, 16442, 16415, 16463, 16877, 16397, 16399, 16401, 16400, 16401, 16405, 16405, 16407, 16397, 18452, 16399, 16399, 16401, 16444, 16443, 16444, 16395, 21863, 16767, 19001, 33563, 16397, 18073, 35643, 16396, 16674, 25240, 16462, 16396, 17651, 18221, 26229, 17123, 19514, 16715, 16641, 18758, 16734, 21286, 21531, 24319, 16604, 16391, 16452, 16397, 16454, 16397, 17005, 23454, 16671, 18293, 16647, 36065, 18217, 16392, 16395, 31702, 18758, 17772, 20147, 16604, 16391, 16452, 16397, 16454, 16397, 21286, 18758, 16715, 31702, 18843, 16398, 20039, 19365, 16392, 16395, 16674, 18783, 22585, 19527, 16604, 16391, 16452, 16397, 16454, 16397, 20447, 16673, 16715, 19977, 19147, 16767, 16641, 17985, 16396, 33359, 21424, 16815, 16647, 62833, 18758, 16395, 18229, 19049, 16725, 20301, 16392, 16397, 18073, 16641, 20338, 16396, 24609, 26229, 17123, 19514, 16715, 16922, 18462, 21531, 16674, 17772, 23040, 19527, 16721, 21449, 31702, 18758, 27793, 16767, 16641, 18201, 17005, 16395, 17274, 16741, 31702, 21452, 16674, 18785, 23659, 16397, 16582, 16582, 19536, 32860, 16783, 16775, 27922, 18143, 31702, 16672, 33042, 48525, 16395, 17187, 16395, 18266, 20916, 16395, 40952, 20397, 30544, 16672, 16641, 18201, 20447, 16715, 16641, 17301, 18472, 16673, 17005, 16397, 17227, 16775, 27922, 22484, 28994, 16641, 17362, 18758, 58945, 16674, 21933, 16754, 16649, 16881, 16604, 16443, 16442, 16442, 16415, 16463, 16877, 16397, 16399, 16401, 16400, 16401, 16405, 16405, 16407, 16397, 18452, 16399, 16399, 16402, 16444, 16395, 16442, 16415, 16463, 16877, 16397, 16399, 16401, 16400, 16401, 16405, 16405, 16407, 16397, 18452, 16399, 16399, 16403, 16444, 16443, 16444, 16397, 20211, 17014, 19527, 16769, 34849, 20633, 16962, 40593, 16395, 16604, 16391, 16452, 16397, 16454, 16397, 18229, 18308, 27793, 16395, 17362, 19049, 16725, 20301, 19104, 16397, 16392, 16783, 16775, 27922, 18143, 17911, 16671, 16647, 17396, 36065, 20447, 16672, 16647, 18211, 25279, 16604, 16443, 16442, 16442, 16415, 16463, 16877, 16397, 16399, 16401, 16400, 16401, 16405, 16405, 16407, 16397, 18452, 16399, 16399, 16404, 16444, 16443, 16444, 16397, 17813, 16647, 16977, 17459, 16395, 17014, 20633, 16962, 40593, 19527, 42968, 16715, 16641, 19287, 17005, 16395, 17661, 20147, 16673, 18070, 27319, 16843, 16703, 22499, 16397, 59363, 19101, 17123, 17177, 20251, 17624, 16931, 17788, 18805, 19527, 16604, 16443, 16442, 16442, 16415, 16463, 16877, 16397, 16399, 16401, 16400, 16401, 16405, 16405, 16407, 16397, 18452, 16399, 16399, 16405, 16444, 16395, 16442, 16415, 16463, 16877, 16397, 16399, 16401, 16400, 16401, 16405, 16405, 16407, 16397, 18452, 16399, 16399, 16406, 16444, 16443, 16444, 16397, 40637, 19310, 34131, 34365, 16673, 16783, 16775, 27922, 16395, 16674, 16914, 19971, 19101, 16769, 17889, 21399, 16672, 16647, 17650, 16673, 28669, 19083, 16397, 16582, 16582, 17071, 16811, 18077, 16395, 16742, 18314, 16709, 16647, 17687, 16641, 18436, 16604, 16391, 16658, 47263, 40083, 16395, 16604, 16393, 18342, 16677, 20716, 16393, 16392, 16395, 16641, 17785, 16852, 17286, 16467, 16821, 27070, 16783, 16775, 17855, 36065, 29890, 16672, 16647, 19568, 37147, 16604, 16391, 16442, 24001, 16604, 16400, 16444, 16391, 16386, 16463, 16877, 16397, 16399, 16401, 16400, 16401, 16405, 16405, 16407, 16397, 16454, 16399, 16399, 16400, 16392, 16474, 18452, 16396, 18926, 16412, 16385, 19327, 16385, 16476, 16392, 16397, 30470, 16671, 17073, 33620, 16604, 16391, 16402, 16406, 16396, 16396, 16403, 16399, 18115, 30258, 32612, 16392, 16604, 16443, 16442, 16442, 16415, 16463, 16877, 16397, 16399, 16401, 16400, 16401, 16405, 16405, 16407, 16397, 18452, 16399, 16399, 16407, 16444, 16443, 16444, 16395, 16647, 17687, 16641, 18436, 16704, 16667, 17889, 22825, 16673, 16647, 19568, 37147, 29718, 16397, 19139, 53983, 18122, 24801, 16673, 25190, 18798, 16815, 21964, 16671, 18247, 16395, 36234, 19310, 16647, 44595, 16396, 24199, 36358, 37147, 16640, 17645, 16735, 16604, 16443, 16442, 16442, 16415, 16463, 16877, 16397, 16399, 16401, 16400, 16401, 16405, 16405, 16407, 16397, 18452, 16399, 16399, 16408, 16444, 16395, 16442, 16415, 16463, 16877, 16397, 16399, 16401, 16400, 16401, 16405, 16405, 16407, 16397, 18452, 16399, 16400, 16399, 16444, 16443, 16444, 16395, 16647, 17687, 16641, 18436, 21846, 16641, 18814, 16673, 16667, 29718, 29198, 16395, 41261, 57653, 45205, 18325, 16647, 19568, 37147, 16604, 16443, 16442, 16442, 16415, 16463, 16877, 16397, 16399, 16401, 16400, 16401, 16405, 16405, 16407, 16397, 18452, 16399, 16400, 16400, 16444, 16443, 16444, 16397, 16772, 19971, 16673, 16647, 17687, 16641, 18436, 16672, 16647, 19568, 37147, 17123, 18977, 35269, 19029, 18443, 16671, 16647, 24036, 21531, 17928, 16604, 16443, 16442, 16442, 16415, 16463, 16877, 16397, 16399, 16401, 16400, 16401, 16405, 16405, 16407, 16397, 18452, 16399, 16400, 16401, 16444, 16443, 16444, 16397, 16875, 17551, 16395, 43716, 16673, 16647, 20969, 16390, 18368, 21559, 17131, 31812, 16673, 16604, 16400, 21896, 16418, 16674, 16604, 16401, 21896, 16418, 21964, 20293, 21452, 19031, 48071, 26221, 16673, 25105, 16715, 19977, 34131, 16715, 16647, 20987, 16673, 40952, 16709, 16702, 17738, 16449, 16835, 16395, 16674, 16395, 16741, 16641, 17539, 16395, 47565, 16672, 16647, 18070, 27319, 16604, 16443, 16442, 16442, 16415, 16463, 16877, 16397, 16399, 16401, 16400, 16401, 16405, 16405, 16407, 16397, 18452, 16399, 16400, 16401, 16444, 16443, 16444, 16397, 41112, 16647, 40007, 16731, 31018, 36234, 17873, 17717, 16673, 17687, 16641, 18436, 40952, 16395, 16647, 26229, 16390, 31931, 17123, 16807, 19348, 20809, 28771, 16715, 30460, 16674, 57653, 37147, 45205, 16397, 32527, 17178, 16395, 16647, 19971, 19101, 16673, 16647, 17687, 16641, 18436, 16674, 20671, 24127, 30313, 16728, 16769, 31416, 23611, 16397, 30470, 16671, 62833, 16672, 20481, 22448, 16395, 19294, 16709, 31801, 33042, 46592, 16395, 16647, 17687, 16641, 18436, 16704, 16641, 24809, 20969, 16671, 32115, 20165, 17073, 19971, 19101, 16397, 17664, 16769, 17097, 17589, 19831, 21882, 16709, 16647, 17687, 16641, 18436, 40952, 21559, 16674, 19101, 16604, 16391, 16452, 16397, 16454, 16397, 16604, 16443, 16442, 16442, 16415, 16463, 16877, 16397, 16399, 16401, 16400, 16401, 16405, 16405, 16407, 16397, 18452, 16399, 16400, 16402, 16444, 16396, 16396, 16442, 16415, 16463, 16877, 16397, 16399, 16401, 16400, 16401, 16405, 16405, 16407, 16397, 18452, 16399, 16400, 16405, 16444, 16443, 16444, 16392, 16397, 40303, 16395, 17788, 25500, 16769, 22484, 17223, 23259, 17146, 16674, 38691, 16395, 16734, 34131, 34365, 17961, 17579, 16992, 47454, 28152, 16397, 16582, 16582, 16384, 16442, 59008, 16673, 16715, 19977, 19147, 16674, 36065, 40952, 16673, 16647, 17687, 16641, 18436, 16397, 16443, 16582, 30513, 26078, 16647, 18077, 18124, 16397, 20779, 25734, 23294, 16647, 18898, 16767, 21964, 16397, 46465, 19101, 36423, 16671, 38081, 19101, 16604, 16391, 26449, 16673, 36065, 30258, 16392, 16397, 28611, 16673, 17586, 46818, 16672, 16604, 16442, 22224, 16604, 16404, 16444, 16391, 16386, 16463, 16877, 16397, 16399, 16401, 16400, 16401, 16405, 16405, 16407, 16397, 16467, 16399, 16399, 16404, 16392, 16474, 18452, 16396, 18926, 16412, 16385, 22246, 16385, 16476, 16397, 47377, 16604, 16391, 63558, 17644, 24318, 16674, 62180, 20774, 16392, 16409, 25922, 18593, 56715, 42465, 16397, 16444, 16391, 16463, 16877, 16397, 16399, 16401, 16400, 16401, 16405, 16405, 16407, 16397, 16454, 16399, 16399, 16400, 16392, 16474, 16386, 16463, 16877, 16397, 16399, 16401, 16400, 16401, 16405, 16405, 16407, 16397, 16454, 16399, 16399, 16400, 16476, 16582, 16582, 16853, 20199, 16673, 17038, 18077, 16763, 63497, 16671, 32011, 20447, 16674, 19101, 16673, 16647, 17687, 16641, 18436, 40952, 16709, 16647, 16762, 16674, 41191, 22784, 16673, 16647, 16702, 17738, 16449, 16835, 21313, 64719, 16604, 16391, 38373, 17313, 16392, 16397, 16772, 17711, 20199, 16763, 16671, 21349, 17016, 20671, 16769, 19970, 16734, 38081, 21057, 16398, 23132, 16983, 16674, 19101, 16397, 17544, 16811, 20380, 16395, 16742, 19570, 16647, 18211, 19049, 62619, 20671, 16409, 16641, 16392, 21424, 17415, 16647, 38081, 16674, 17736, 16715, 19977, 27262, 16410, 16660, 16392, 42072, 16655, 16392, 20583, 16673, 16647, 36830, 16670, 16392, 26008, 16673, 16647, 36830, 16395, 16693, 16392, 23838, 26993, 16395, 16674, 16662, 16392, 20297, 18383, 16397, 17119, 19272, 26229, 16671, 31702, 16767, 16641, 17985, 16396, 33359, 21424, 16815, 16647, 16715, 19977, 27262, 16395, 16734, 16647, 20770, 40952, 20186, 22737, 16671, 16647, 17736, 16715, 19977, 27262, 16397, 41112, 27893, 17717, 16673, 47821, 27987, 16395, 30313, 22514, 41867, 16672, 16647, 22346, 16395, 26229, 17208, 20569, 25461, 22797, 28375, 18846, 23838, 26993, 16674, 20557, 16641, 23045, 19578, 16673, 62833, 44615, 16397, 41112, 36830, 26343, 16395, 16742, 19272, 17687, 22206, 17130, 16671, 32893, 16709, 29101, 46592, 16604, 16391, 16401, 16399, 16396, 16396, 16402, 16399, 21896, 16392, 16395, 25428, 18813, 16673, 28200, 16660, 16814, 16756, 16395, 16850, 17027, 33150, 22415, 17772, 45941, 16395, 16944, 17223, 26953, 16647, 20969, 55179, 19208, 25604, 16397, 17119, 19272, 16721, 17687, 22206, 17130, 16961, 19825, 62833, 16672, 43885, 16936, 20297, 65178, 16395, 19789, 16809, 17785, 29922, 16395, 16734, 26216, 25105, 62833, 44615, 16674, 17827, 24797, 46592, 17032, 23402, 21900, 16734, 22794, 29922, 16397, 16582, 16582, 65433, 16674, 20625, 16604, 16474, 16386, 19810, 16399, 16399, 16401, 16476, 16582, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16582, 16582, 16853, 18077, 16763, 22546, 17131, 26088, 16673, 16647, 26824, 16673, 16702, 17738, 16449, 16835, 16397, 16582, 16582, 19536, 18460, 33692, 16604, 16474, 16386, 19810, 16399, 16399, 16402, 16476, 16582, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16582, 16582, 18313, 21177, 20447, 16674, 19101, 16673, 17687, 16641, 18436, 40952, 16395, 33692, 16958, 22546, 18184, 16647, 16793, 16674, 16647, 16762, 22784, 16673, 17778, 17283, 16885, 18511, 16604, 16391, 17347, 20899, 23027, 16672, 16702, 17738, 16449, 16835, 21313, 64719, 16395, 33440, 16392, 17560, 16647, 36065, 25279, 17415, 16604, 16401, 16399, 16399, 16408, 16674, 16604, 16401, 16399, 16400, 16404, 16604, 16391, 16442, 22224, 16604, 16400, 16444, 16391, 16386, 16463, 16877, 16397, 16399, 16401, 16400, 16401, 16405, 16405, 16407, 16397, 16467, 16399, 16399, 16400, 16392, 16474, 18452, 16396, 18926, 16412, 16385, 22246, 16385, 16476, 16674, 16604, 16442, 24001, 16604, 16401, 16444, 16391, 16386, 16463, 16877, 16397, 16399, 16401, 16400, 16401, 16405, 16405, 16407, 16397, 16454, 16399, 16399, 16401, 16392, 16474, 18452, 16396, 18926, 16412, 16385, 19327, 16385, 16476, 16392, 16397, 16772, 20100, 16673, 21186, 42863, 16763, 18138, 16709, 18365, 36065, 23402, 16604, 16391, 16411, 19020, 16409, 16398, 16398, 16466, 17738, 16449, 16835, 16458, 16808, 16688, 16397, 37711, 19992, 16397, 19355, 16398, 16413, 16392, 16674, 58114, 32043, 16397, 18073, 17492, 24978, 18758, 16395, 17255, 16641, 19056, 17687, 16641, 18436, 34131, 16604, 16443, 16442, 16442, 16415, 16463, 16877, 16397, 16399, 16401, 16400, 16401, 16405, 16405, 16407, 16397, 18452, 16399, 16400, 16406, 16444, 16443, 16444, 16395, 16742, 25289, 35753, 16715, 19591, 16673, 26162, 21057, 16604, 16391, 37837, 16398, 25192, 17268, 22710, 16674, 16398, 16658, 60308, 16395, 38366, 16466, 16673, 26229, 25243, 16672, 32226, 18568, 16647, 65178, 16395, 21595, 19493, 16452, 17089, 41618, 19104, 16397, 16392, 16397, 35696, 17245, 38081, 38984, 16958, 17177, 28152, 16671, 21177, 38081, 31101, 16395, 18138, 16709, 26162, 21057, 16397, 53240, 16604, 16391, 37410, 24740, 16392, 35923, 16958, 25016, 18184, 16647, 22530, 16673, 16647, 27973, 16410, 16647, 17679, 16673, 28988, 56138, 16709, 16647, 29312, 16673, 18070, 17772, 20147, 16397, 16711, 27621, 18898, 16396, 45959, 16604, 16391, 16435, 17011, 16431, 35798, 16604, 16402, 16405, 16399, 16395, 21119, 16392, 21864, 16734, 16641, 34130, 29489, 16763, 17405, 16715, 20989, 34446, 18842, 16397, 24529, 42688, 16604, 16391, 16400, 16396, 16396, 16404, 21014, 16392, 16958, 18711, 16672, 17970, 16671, 20165, 20297, 31351, 17989, 38984, 16395, 17655, 16641, 16604, 16400, 16669, 16827, 55473, 31104, 16715, 16641, 21434, 16397, 17170, 20095, 16715, 16647, 18242, 38483, 16673, 18070, 31702, 18758, 24892, 16397, 16604, 16400, 16403, 16402, 38081, 38984, 16958, 42863, 16672, 18804, 16397, 16582, 16582, 16384, 16442, 42888, 18124, 16734, 20447, 16673, 24978, 21186, 16734, 16604, 16391, 50021, 41835, 16392, 16674, 17714, 17687, 16641, 18436, 40952, 16604, 16391, 28290, 41835, 16392, 16397, 16443, 16582, 16419, 18031, 16767, 21964, 24396, 21710, 20966, 19011, 17560, 16767, 16396, 26393, 33692, 16673, 16715, 19977, 26229, 16397, 47377, 16604, 16391, 63558, 17644, 24318, 16674, 62180, 20774, 16392, 16409, 25922, 18593, 56715, 42465, 16397, 16444, 16391, 16463, 16877, 16397, 16399, 16401, 16400, 16401, 16405, 16405, 16407, 16397, 16454, 16399, 16399, 16401, 16392, 16474, 16386, 16463, 16877, 16397, 16399, 16401, 16400, 16401, 16405, 16405, 16407, 16397, 16454, 16399, 16399, 16401, 16476, 16582, 16582, 16400, 16399, 16397, 16400, 16402, 16406, 16400, 16398, 40976, 16397, 16463, 16877, 16397, 16399, 16401, 16400, 16401, 16405, 16405, 16407, 16397, 16467, 16399, 16399, 16400, 16582, 16582, 16386, 16386, 16386, 16386, 16386, 16386, 16711, 25698, 16673, 42863, 17687, 16641, 18436, 40952, 16674, 16767, 16396, 26393, 33692, 20888, 17560, 16811, 18077, 16397, 16582, 16582, 16384, 16442, 16444 ]
[ 0, 16396, 16396, 16396, 16582, 38841, 16409, 16604, 16390, 19068, 16701, 35911, 17046, 27902, 20434, 22134, 26370, 21438, 16741, 16647, 17736, 24375, 16672, 34025, 17502, 16395, 19294, 23244, 16661, 17301, 16396, 24193, 23903, 16396, 37671, 33780, 16397, 16772, 60264, 35911, 16759, 18988, 16666, 21121, 53706, 19904, 16396, 16428, 24208, 20225, 24375, 39676, 16815, 49951, 18815, 44246, 16674, 16704, 16604, 16393, 16448, 19421, 16456, 16393, 17240, 38140, 16395, 17199, 17891, 16728, 17123, 34725, 26749, 16734, 16647, 42089, 35911, 16917, 16671, 24998, 17009, 23903, 49538, 16397, 20195, 16395, 16742, 20929, 16811, 17204, 16396, 45613, 41257, 16395, 16674, 32889, 16671, 22597, 16641, 17046, 27902, 20434, 16396, 57549, 16396, 22068, 26683, 17394, 16397, 17664, 16395, 16647, 16759, 18988, 16666, 21121, 53706, 19904, 16396, 16428, 24208, 20225, 24375, 50395, 26683, 33548, 16672, 17142, 30369, 16395, 16815, 16944, 16647, 21667, 16734, 16667, 23703, 26683, 18676, 18466, 16672, 16641, 17009, 25013, 25695, 24050, 19226, 16942, 16673, 26684, 23520, 17384, 19101, 16397, 16772, 27894, 26684, 16786, 19686, 19226, 16679, 16843, 18022, 16703, 63487, 16672, 16641, 17589, 16396, 48838, 28518, 16395, 16674, 17123, 17177, 16703, 17405, 16741, 61446, 16387, 16474, 16443, 17888, 52365, 16476, 16387, 19623, 16671, 17799, 16641, 18122, 26683, 63049, 16397, 16772, 39170, 16673, 17274, 58407, 23903, 26684, 17692, 35654, 16672, 16604, 16387, 17977, 16387, 16396, 16674, 16604, 16387, 16463, 16387, 16396, 28836, 17751, 28937, 16785, 16672, 20315, 29013, 17082, 37700, 40360, 16961, 17671, 16641, 17009, 22955, 20815, 28456, 16674, 30303, 26683, 25297, 16397, 16390, 16582, 26371, 16409, 16582, 16396, 16604, 16390, 16420, 16397, 16711, 16397, 18401, 21269, 17063, 16387, 16445, 16474, 16400, 16395, 16401, 16476, 16387, 16395, 16702, 16397, 16711, 16397, 28879, 21563, 18888, 16387, 16445, 16474, 16401, 16476, 16387, 16395, 16719, 16397, 16759, 16698, 16644, 17307, 16387, 16445, 16474, 16402, 16476, 16387, 16395, 16727, 16397, 16687, 16397, 16908, 17876, 16461, 27387, 16387, 16445, 16474, 16400, 16395, 16401, 16476, 16387, 16395, 16965, 16397, 16965, 16397, 16727, 38170, 16826, 21486, 16387, 16445, 16474, 16401, 16476, 16387, 16390, 16582, 23718, 16409, 16604, 16390, 17611, 27902, 20434, 16396, 57549, 16396, 22068, 26684, 16786, 19686, 19226, 16679, 63049, 16390, 16582, 16396, 16396, 16396, 16582, 16582, 16853, 20174, 16673, 23903, 16763, 22204, 16809, 16796, 16397, 50240, 21835, 38905, 16674, 16702, 16397, 16796, 29211, 18889, 16672, 16647, 16604, 16400, 16408, 16401, 16399, 16466, 16672, 17970, 16671, 21458, 16647, 32186, 26335, 16673, 16647, 31055, 37924, 21715, 16809, 16711, 16397, 52362, 33168, 18331, 16442, 16415, 21643, 16401, 16444, 16397, 16762, 16397, 18331, 17611, 16654, 17976, 16674, 16773, 16397, 18331, 35826, 29856, 22951, 16721, 16647, 17055, 17738, 16682, 22106, 16673, 16647, 31055, 38636, 25290, 17142, 41893, 16673, 23581, 53256, 16395, 16741, 16641, 17539, 16673, 16647, 54066, 46254, 22134, 18331, 16442, 16415, 21643, 16403, 16444, 16397, 17170, 21311, 23895, 16762, 16397, 17046, 27902, 20434, 16671, 17882, 16667, 38826, 23289, 16673, 28406, 16787, 18410, 16688, 17502, 18331, 16442, 16415, 21643, 16404, 16410, 16604, 16415, 21643, 16405, 16444, 16395, 17329, 16739, 16397, 47010, 16861, 19987, 21270, 16641, 56771, 23289, 16672, 19246, 16673, 46670, 19059, 16673, 23903, 28164, 18331, 16442, 16415, 21643, 16406, 16444, 16397, 18708, 48837, 18786, 21882, 16709, 16647, 28406, 38833, 22134, 24375, 16721, 16704, 22951, 17181, 16647, 17815, 39306, 16673, 17142, 47821, 23510, 34839, 17229, 16397, 48557, 16395, 16739, 16397, 27391, 23999, 16721, 16647, 22134, 24375, 16672, 23052, 22077, 24821, 18302, 17120, 17027, 26630, 16709, 16667, 31002, 18241, 22629, 38833, 36202, 19565, 33656, 34839, 17229, 18331, 16442, 16415, 52107, 37118, 16397, 16400, 16400, 16404, 16397, 16401, 16444, 16397, 17170, 16859, 16396, 25582, 16810, 16801, 36295, 19925, 24375, 16395, 18919, 16395, 17120, 16804, 21458, 16647, 21801, 28406, 16787, 18410, 16688, 17502, 16673, 16991, 18241, 22629, 16787, 18410, 17499, 16397, 16772, 24002, 16872, 16992, 17494, 16671, 31869, 16815, 60264, 35911, 26459, 16673, 17240, 38140, 21034, 16395, 16741, 26386, 16809, 16687, 16397, 16759, 18988, 16666, 21121, 53706, 19904, 16674, 16700, 16397, 20015, 40737, 18331, 16442, 16415, 16419, 16441, 16440, 18189, 19445, 16423, 34969, 47245, 16400, 16408, 16404, 16407, 16401, 16403, 16400, 16410, 16604, 16415, 16428, 24208, 20225, 16444, 16397, 16772, 21667, 17415, 16647, 42089, 35911, 22134, 16674, 60264, 35911, 16759, 18988, 16666, 21121, 53706, 19904, 16396, 16428, 24208, 20225, 26459, 16604, 16391, 16419, 26833, 16392, 22277, 16671, 16647, 24261, 16673, 17772, 31030, 24688, 26683, 33780, 16395, 17274, 16741, 24050, 19226, 16942, 18331, 16442, 16415, 16429, 26969, 23091, 31088, 16444, 16397, 34316, 16395, 16647, 42089, 35911, 22134, 23693, 20248, 16647, 21667, 16395, 16944, 17097, 20634, 16647, 24261, 16673, 18122, 26683, 23820, 16395, 16922, 18882, 16671, 54741, 16674, 41937, 16672, 25717, 18331, 16442, 16415, 16429, 26969, 23091, 31088, 16410, 16604, 16415, 52107, 37118, 16439, 16397, 16403, 16397, 16399, 16402, 16400, 16399, 16403, 16404, 16444, 16397, 40418, 16641, 17009, 22955, 20815, 16922, 30303, 28456, 23903, 49538, 17177, 21438, 16741, 16641, 19588, 20929, 16397, 16582, 16582, 17894, 16641, 29334, 20715, 16395, 16742, 26426, 16647, 23731, 16673, 17142, 16396, 29359, 24050, 19226, 16942, 16672, 16647, 25739, 16673, 42089, 35911, 17046, 27902, 20434, 22134, 16397, 28106, 16395, 18961, 30496, 18786, 16807, 22130, 16721, 18241, 22629, 38833, 16810, 16801, 36295, 19925, 17123, 16703, 53459, 16809, 18354, 28406, 38833, 17815, 22134, 26459, 16767, 16647, 30877, 16673, 16604, 16387, 17977, 16387, 16396, 16674, 16604, 16387, 16463, 16387, 16396, 28836, 17751, 26684, 16837, 54029, 18331, 16442, 16415, 34295, 20595, 16410, 16604, 16415, 16454, 18190, 45129, 16444, 16395, 20040, 26182, 32225, 16872, 19193, 16992, 24086, 18331, 16442, 16415, 16431, 16449, 28366, 16410, 16604, 16415, 52107, 37118, 16427, 19256, 16397, 16408, 16407, 16397, 16400, 16401, 16405, 16403, 16399, 16400, 16410, 16604, 16415, 28476, 16453, 50239, 16410, 16604, 16415, 38817, 16781, 33598, 16401, 16399, 16400, 16403, 48838, 17587, 16444, 16397, 26367, 16395, 36434, 34368, 22945, 16672, 17274, 28937, 17027, 19933, 16647, 23384, 16671, 52421, 22088, 17021, 16647, 42089, 35911, 17046, 27902, 20434, 22134, 24375, 17131, 17362, 16396, 44523, 16396, 19495, 55379, 16395, 16641, 19857, 19580, 16721, 17120, 16804, 16703, 17820, 16672, 23052, 22077, 24821, 18302, 16672, 39691, 18331, 16442, 16415, 52107, 37118, 16427, 19256, 16397, 16400, 16400, 16404, 16397, 16399, 16406, 16404, 16402, 16399, 16400, 16410, 16604, 16415, 28681, 16400, 16410, 16604, 16415, 28681, 16401, 16444, 16397, 16875, 18343, 16395, 26079, 21226, 16647, 24906, 16396, 23317, 21670, 41893, 17123, 16703, 17405, 16671, 30238, 16647, 26683, 26459, 16395, 16944, 16843, 16703, 20101, 16809, 16672, 19246, 16673, 23903, 28164, 16604, 16387, 16443, 17159, 16474, 16443, 20348, 16702, 16476, 16446, 16456, 16387, 16809, 16647, 18211, 56771, 16604, 16387, 16387, 16443, 18364, 16474, 46162, 16476, 16582, 16423, 16446, 16474, 16443, 19226, 23903, 16476, 16604, 16412, 16604, 16396, 16443, 20274, 16446, 16474, 16474, 16443, 30993, 16474, 16443, 19911, 16443, 31047, 17226, 16457, 16604, 16443, 18357, 16443, 28077, 16476, 16476, 16476, 16832, 16446, 16474, 18894, 16476, 16604, 16391, 16416, 16392, 16604, 16443, 16395, 16443, 17159, 16474, 16443, 20348, 16702, 16476, 16446, 16474, 16456, 16476, 16443, 16395, 16443, 17159, 16474, 16443, 20348, 16702, 16476, 16446, 16474, 16457, 16476, 16604, 16394, 16582, 16443, 20274, 16446, 16474, 16474, 16443, 30993, 16474, 16443, 19911, 16443, 31047, 17226, 16457, 16604, 16443, 18357, 16443, 28077, 16476, 16476, 16476, 16474, 16443, 20348, 16759, 16476, 16446, 16474, 18894, 16476, 16604, 16391, 16416, 16392, 16443, 16395, 16442, 16443, 17159, 16474, 16443, 20348, 16702, 16476, 16446, 16474, 16456, 16476, 16443, 24360, 16443, 17159, 16474, 16443, 20348, 16702, 16476, 16446, 16474, 16457, 16476, 16444, 16395, 16582, 16443, 19974, 16474, 16423, 46460, 16476, 16443, 16806, 16474, 46162, 16476, 16387, 16387, 17187, 16647, 33387, 16673, 42089, 35911, 17046, 27902, 20434, 22134, 16604, 16387, 16425, 16446, 16474, 18894, 16476, 16391, 16416, 16392, 16387, 16674, 60264, 35911, 16759, 26833, 16604, 16387, 16474, 16443, 20348, 16759, 16476, 16446, 16474, 18894, 16476, 16391, 16416, 16392, 16387, 17178, 21257, 16709, 16647, 18109, 40686, 16604, 16387, 16416, 16387, 16397, 16772, 44884, 16964, 16769, 26511, 16671, 17535, 17030, 16858, 28695, 16396, 57812, 22024, 21186, 16604, 16387, 16456, 16387, 16674, 16604, 16387, 16457, 16387, 16397, 16772, 42089, 35911, 17046, 27902, 20434, 22134, 17902, 25684, 16641, 21667, 17415, 28406, 38833, 17815, 22134, 16674, 18241, 22629, 38833, 48174, 22134, 18331, 16442, 16415, 52107, 37118, 16397, 16400, 16400, 16404, 16397, 16401, 16444, 16397, 32951, 20335, 16395, 16728, 17123, 16703, 32738, 17021, 52421, 16809, 31993, 16647, 27859, 16673, 16647, 17362, 16396, 44523, 18109, 16395, 17437, 16647, 60264, 35911, 16759, 26833, 21002, 17975, 16396, 33575, 18331, 16442, 16415, 28681, 16401, 16444, 16397, 16582, 16582, 16384, 16442, 17287, 16925, 26684, 16786, 19686, 19226, 16679, 16396, 51715, 16759, 26833, 48563, 26091, 23526, 16815, 16647, 31901, 43972, 30156, 16673, 16647, 17046, 27902, 20434, 16396, 57549, 16396, 22068, 18528, 16709, 16647, 17975, 16396, 32799, 23110, 42652, 16734, 16604, 16387, 16417, 16446, 16474, 16473, 16476, 16604, 16412, 16604, 16400, 16397, 16401, 16387, 16397, 17389, 22448, 16674, 20241, 38425, 16647, 16672, 16396, 16674, 16891, 16396, 17663, 16396, 32840, 23903, 35344, 16395, 22358, 16397, 16442, 16444, 16474, 19280, 16396, 19974, 16412, 16385, 24001, 16400, 16385, 16476, 16444, 16391, 24001, 16400, 16397, 26338, 16392, 16474, 21660, 16412, 16385, 16399, 16397, 16405, 16406, 16443, 56315, 16385, 16476, 16582, 16582, 16853, 18077, 16673, 17046, 27902, 20434, 16396, 57549, 16396, 22068, 34025, 17502, 17123, 17027, 16703, 24086, 16672, 16977, 21494, 16673, 19258, 16395, 17274, 16741, 26755, 16685, 17676, 17308, 16673, 20315, 29013, 17082, 37700, 40360, 16397, 28106, 16395, 21306, 35920, 16807, 29043, 16647, 28536, 16674, 18123, 16673, 16810, 16801, 36295, 19925, 26459, 16395, 16944, 17120, 16703, 38514, 17415, 28406, 38833, 16674, 18241, 22629, 38833, 18331, 16442, 16415, 16435, 24116, 16473, 19686, 16444, 16395, 16741, 17204, 16741, 18354, 16759, 26833, 18331, 16442, 16415, 16422, 16882, 16444, 16395, 18211, 16647, 39170, 16673, 16647, 23903, 16396, 60352, 36202, 16672, 43522, 23796, 16674, 54066, 46254, 40360, 18331, 16442, 16415, 29821, 16446, 31251, 16410, 16604, 16415, 29821, 16446, 63275, 16444, 16397, 16582, 16582, 21055, 16395, 16742, 17299, 16721, 17274, 16641, 18123, 16673, 16647, 55882, 26683, 26459, 19933, 16667, 34135, 19560, 16671, 29729, 16674, 41937, 45488, 16396, 24609, 24050, 19226, 16942, 16397, 17046, 27902, 20434, 16396, 57549, 16396, 22068, 26684, 16786, 19686, 19226, 16942, 18040, 31869, 16815, 16647, 21667, 17415, 60264, 35911, 16759, 26833, 16674, 16641, 22551, 26683, 18676, 16397, 16772, 24002, 16763, 25167, 18365, 16671, 54741, 16647, 23903, 49538, 18331, 16442, 16415, 52107, 37118, 16439, 16397, 16403, 16397, 16399, 16402, 16400, 16399, 16403, 16404, 16444, 16395, 25743, 17348, 16728, 16704, 16641, 17015, 16673, 16647, 30169, 17476, 16674, 52272, 18290, 25013, 21022, 16715, 26684, 16786, 19686, 19226, 16942, 16397, 24502, 16397, 18331, 16443, 16442, 24001, 16400, 16443, 16444, 20629, 27761, 16721, 16667, 34820, 17434, 16673, 17589, 16396, 48838, 24050, 19226, 16942, 16843, 16703, 63487, 16674, 24389, 16709, 16641, 17975, 16396, 32799, 42652, 16734, 17671, 29438, 19527, 16395, 16944, 16763, 16804, 18230, 16767, 16858, 16672, 16647, 21057, 16673, 42089, 35911, 17046, 27902, 20434, 22134, 16397, 16582, 16582, 16442, 16393, 17611, 27902, 20434, 16396, 57549, 16396, 22068, 56771, 16393, 16444, 16474, 16476, 16604, 17205, 22566, 43855, 16809, 16647, 18961, 33477, 16674, 25717, 22849, 18568, 16395, 16742, 18328, 16647, 18211, 23903, 56771, 16604, 16387, 16387, 16443, 18364, 16474, 46162, 16476, 16582, 16389, 16443, 17159, 16751, 16446, 16474, 16443, 19226, 17046, 16453, 16476, 16604, 16412, 16604, 16582, 16443, 20274, 16446, 16474, 16474, 16443, 30993, 16474, 16443, 19911, 16443, 31047, 17226, 16457, 16604, 16443, 18357, 16443, 28077, 16476, 16476, 16476, 16474, 16443, 20348, 16759, 16476, 16446, 16474, 18894, 16476, 16443, 16395, 16442, 16443, 17159, 16474, 16443, 20348, 16702, 16476, 16446, 16474, 16456, 16476, 16443, 24360, 16443, 17159, 16474, 16443, 20348, 16702, 16476, 16446, 16474, 16457, 16476, 16444, 16604, 16396, 16604, 16443, 20274, 16446, 16474, 16456, 16476, 16474, 16443, 20348, 16738, 16476, 16443, 17159, 16474, 16443, 20348, 16702, 16476, 16446, 16474, 16456, 16476, 16395, 16582, 16443, 19974, 16474, 16419, 26833, 16476, 16443, 16806, 16474, 46162, 16476, 16387, 16387, 17187, 16647, 26683, 18676, 16704, 54129, 16671, 16647, 17142, 41959, 17434, 16674, 16604, 16387, 16474, 16443, 20348, 16738, 16476, 16412, 16477, 16391, 16399, 16395, 16399, 16395, 16417, 16446, 16474, 16473, 16476, 16392, 16387, 16397, 16772, 24002, 30706, 16671, 29727, 16647, 53256, 16672, 16647, 16604, 16387, 16473, 16387, 20715, 16395, 17437, 16759, 26833, 41205, 16914, 59088, 27285, 16964, 16397, 18073, 16647, 28966, 17743, 16811, 17975, 16396, 16467, 34913, 21667, 19522, 16641, 24812, 22515, 16672, 28966, 17624, 22402, 18331, 16442, 16415, 44751, 36931, 16444, 16397, 20195, 16395, 16742, 16769, 20309, 16672, 16647, 26311, 16396, 62331, 23289, 16673, 16647, 17046, 27902, 20434, 16396, 57549, 16396, 22068, 34025, 17502, 16397, 16582, 16582, 16384, 16442, 16428, 34050, 33548, 16672, 32790, 16759, 26833, 35087, 16673, 16647, 60564, 16604, 16391, 16442, 16393, 16393, 16448, 16393, 16393, 16444, 16474, 16476, 16392, 16674, 23110, 16604, 16391, 16442, 16393, 16393, 16449, 16393, 16393, 16444, 16474, 16476, 16392, 16685, 17676, 17308, 16397, 21650, 17368, 42913, 39445, 25219, 19667, 20715, 16673, 16647, 29097, 16672, 17492, 28518, 16397, 21093, 30879 ]
[ 0, 16411, 16384, 33558, 20091, 49173, 37523, 42849, 54552, 16604, 16385, 16396, 16398, 16398, 16438, 16402, 16418, 16398, 16398, 16419, 36020, 18126, 35392, 16604, 16400, 16397, 16399, 20196, 19297, 16398, 16398, 18144, 16385, 16604, 16385, 19020, 16409, 16398, 16398, 18409, 16397, 16470, 16402, 16397, 18431, 16398, 22082, 16398, 16471, 20813, 16400, 16398, 16419, 36020, 16398, 16471, 20813, 16400, 16396, 21527, 19297, 16397, 16451, 21021, 16385, 16413, 16582, 16411, 20813, 41470, 21918, 16412, 16385, 19020, 16409, 16398, 16398, 18409, 16397, 16470, 16402, 16397, 18431, 16398, 16400, 16408, 16408, 16408, 16398, 16471, 20813, 16385, 16413, 16582, 16411, 18573, 16413, 16582, 16411, 33173, 19562, 16396, 37337, 16412, 16385, 25793, 16396, 18954, 16385, 19014, 16412, 16385, 17888, 16398, 16471, 20813, 16410, 52555, 16688, 16412, 45044, 16396, 16407, 16385, 16398, 16413, 16582, 16411, 23718, 16413, 21078, 16419, 23901, 16409, 16604, 16398, 40409, 16398, 16453, 23366, 18689, 19250, 16398, 40152, 16398, 16835, 37158, 22987, 16398, 16427, 19721, 16699, 46501, 24749, 16446, 16424, 16401, 16418, 16398, 16427, 19721, 16456, 46501, 24749, 16446, 16424, 16401, 16418, 16398, 16427, 19721, 16699, 46501, 24749, 16446, 28271, 16402, 16438, 16397, 52854, 28611, 26633, 16411, 16398, 23718, 16413, 16582, 16411, 21587, 26558, 16412, 16385, 16467, 23132, 16397, 28605, 16385, 17221, 16412, 16385, 43274, 39832, 16385, 18383, 16412, 16385, 17888, 16398, 28605, 16385, 16398, 16413, 16582, 16411, 21587, 26558, 16412, 16385, 24953, 16398, 24953, 16397, 28605, 16385, 17221, 16412, 16385, 43274, 39832, 16385, 18383, 16412, 16385, 17888, 16398, 28605, 16385, 16398, 16413, 16582, 16411, 23285, 18383, 16412, 16385, 17888, 16398, 48294, 16385, 31342, 16412, 16385, 24953, 16398, 24953, 16397, 22349, 16385, 16413, 16411, 16398, 23285, 16413, 16582, 16411, 21587, 26558, 16412, 16385, 16451, 32917, 18511, 16397, 28605, 16385, 17221, 16412, 16385, 43274, 39832, 16385, 18383, 16412, 16385, 17888, 16398, 28605, 16385, 16398, 16413, 16582, 16411, 16398, 18573, 16413, 16582, 16411, 18972, 16709, 18557, 16412, 16390, 24953, 25230, 16397, 18301, 27340, 22532, 16391, 16399, 16392, 16410, 16390, 16413, 16582, 16411, 16384, 16396, 16396, 19627, 16895, 16809, 18260, 26569, 16604, 16400, 16397, 16406, 16397, 16403, 16604, 16396, 16396, 16413, 16582, 16411, 23285, 18383, 16412, 16385, 17888, 16398, 48294, 16385, 16413, 16411, 16384, 16396, 16396, 16582, 17979, 19514, 25230, 16604, 16412, 17009, 28461, 25230, 16391, 16385, 24953, 25230, 16385, 16395, 16604, 16385, 24953, 16385, 16395, 25115, 16395, 16390, 28766, 16390, 16392, 16410, 16582, 16396, 16396, 16413, 16411, 16398, 23285, 16413, 16582, 16411, 20901, 19931, 16412, 16385, 21635, 16385, 16413, 16582, 16411, 20901, 19931, 16412, 16385, 23718, 31085, 16385, 16413, 16582, 16411, 22246, 18155, 17977, 21526, 16412, 16385, 16399, 16385, 18155, 41243, 16412, 16385, 16399, 16385, 16413, 16582, 16604, 16411, 16467, 18972, 16413, 16582, 16604, 16411, 18178, 20086, 16412, 16385, 25666, 16409, 16604, 16404, 16405, 24753, 16410, 16385, 16413, 16582, 16650, 16411, 21021, 19931, 16412, 16385, 27236, 47695, 16385, 16413, 16411, 25683, 23035, 16412, 16385, 22317, 16462, 16385, 31342, 16412, 16385, 47695, 26688, 16397, 27383, 16385, 16398, 16413, 16411, 16398, 21021, 16413, 16582, 16650, 16411, 21021, 20086, 16412, 16385, 41243, 16396, 19911, 16409, 16604, 16399, 16397, 16404, 16746, 16410, 16385, 16413, 16582, 16650, 16604, 16411, 20901, 19931, 16412, 16385, 27236, 18596, 16385, 16413, 21078, 16419, 23901, 16389, 16386, 16400, 16405, 16399, 16410, 16411, 24642, 19931, 16412, 16385, 27236, 26449, 16385, 16413, 16400, 16397, 16401, 16397, 16400, 16411, 16398, 24642, 16413, 16411, 16398, 20901, 16413, 16582, 16650, 16604, 16411, 20901, 19931, 16412, 16385, 27236, 55736, 16385, 16413, 21078, 16419, 23901, 16604, 16396, 46656, 18123, 17568, 39556, 22864, 16397, 39025, 16672, 25337, 16715, 16647, 51071, 46501, 24749, 23901, 16397, 16411, 16398, 20901, 16413, 16582, 16650, 16411, 16398, 21021, 16413, 16582, 16604, 16411, 16398, 18178, 16413, 16582, 16604, 16411, 16398, 16467, 18972, 16413, 16582, 16411, 16398, 22246, 16413, 16582, 16411, 16398, 20901, 16413, 16582, 16650, 16411, 20901, 19931, 16412, 16385, 32273, 17140, 16400, 16385, 17568, 16412, 16385, 16467, 23132, 16385, 16413, 16582, 16696, 16411, 16748, 17568, 16412, 16385, 26179, 19950, 16385, 16413, 16582, 16696, 16650, 16411, 17151, 16413, 16411, 16448, 26558, 16412, 16385, 21190, 16397, 20813, 16385, 16413, 16411, 24642, 16413, 28524, 16389, 16386, 16400, 16405, 16399, 16410, 26318, 16411, 16398, 24642, 16413, 16411, 16398, 16448, 16413, 16411, 16398, 17151, 16413, 16582, 16696, 16650, 16411, 17151, 16413, 16411, 16448, 26558, 16412, 16385, 29225, 16895, 16397, 20813, 16385, 16413, 16411, 24642, 16413, 51744, 16411, 16398, 24642, 16413, 16411, 16398, 16448, 16413, 16411, 16398, 17151, 16413, 16582, 16696, 16650, 16411, 17151, 17568, 16412, 16385, 22500, 16385, 16413, 16411, 16448, 26558, 16412, 16385, 30516, 16397, 20813, 16385, 16413, 16411, 24642, 16413, 36347, 16411, 16398, 24642, 16413, 16411, 16398, 16448, 16413, 16411, 16398, 17151, 16413, 16582, 16696, 16650, 16411, 17151, 19931, 16412, 16385, 24953, 17151, 16385, 16413, 16582, 16696, 16696, 16411, 20901, 19931, 16412, 16385, 21332, 19343, 25230, 16385, 17568, 16412, 16385, 21332, 19343, 25230, 17071, 21126, 16385, 16413, 16582, 16696, 16696, 16411, 24642, 17568, 16412, 16385, 19911, 16385, 16413, 16582, 16696, 16696, 16650, 16411, 25683, 19931, 16412, 16385, 21332, 19343, 27340, 16385, 31342, 16412, 16385, 24953, 16398, 30104, 16446, 17084, 16397, 27180, 16385, 16582, 16696, 16696, 16696, 16650, 16709, 37372, 18516, 16412, 16385, 17501, 19514, 25230, 16397, 18301, 28766, 27340, 30623, 16391, 16392, 16385, 16582, 16696, 16696, 16696, 16650, 16709, 37372, 16833, 16412, 16385, 17501, 19514, 25230, 16397, 18301, 28766, 27340, 60856, 16391, 16392, 16385, 16582, 16696, 16696, 16696, 16650, 23035, 16412, 16385, 16385, 16398, 16413, 16582, 16696, 16696, 16650, 16411, 22979, 18383, 16412, 16385, 17888, 16385, 19931, 16412, 16385, 21332, 19343, 22726, 16385, 18020, 16412, 16385, 28766, 16385, 18291, 18578, 16412, 16385, 16434, 16385, 16582, 16696, 16696, 16696, 16650, 16709, 39655, 16412, 16385, 24953, 25230, 16397, 18301, 28766, 22726, 41271, 16391, 23372, 16392, 16385, 16604, 16582, 16696, 16696, 16696, 16650, 16709, 19295, 16713, 16412, 16385, 24953, 25230, 16397, 18301, 28766, 22726, 41271, 16391, 25115, 16392, 16385, 16604, 16582, 16696, 16696, 16696, 16650, 16709, 18578, 16825, 16412, 16385, 24953, 25230, 16397, 18301, 28766, 22726, 29165, 16391, 24181, 16392, 16385, 16398, 16413, 16582, 16696, 16696, 16650, 16411, 16398, 24642, 16413, 16411, 24642, 17568, 16412, 16385, 18357, 16385, 16413, 16582, 16696, 16696, 16696, 16411, 16448, 19931, 16412, 16385, 21332, 19343, 34886, 16385, 26558, 16412, 16385, 48294, 16409, 24953, 25230, 16397, 34886, 32271, 31092, 16391, 16392, 16385, 16413, 16411, 25683, 19931, 16412, 16385, 21332, 19343, 34886, 19439, 16454, 16385, 22530, 16412, 16385, 16399, 16385, 31342, 16412, 16385, 24953, 16398, 27543, 16397, 27180, 16385, 23035, 16412, 16385, 16385, 16398, 16413, 16411, 16398, 16448, 16413, 16582, 16696, 16696, 16650, 16411, 16398, 24642, 16413, 16582, 16696, 16696, 16411, 16398, 20901, 16413, 16582, 16696, 16650, 16411, 16398, 17151, 16413, 16582, 16696, 16411, 16398, 16748, 16413, 16582, 16650, 16411, 16398, 20901, 16413, 16582, 16650, 16411, 20901, 19931, 16412, 16385, 32273, 17140, 16401, 16385, 17568, 16412, 16385, 16467, 23132, 16401, 16385, 16413, 16582, 16696, 16411, 16748, 17568, 16412, 16385, 26179, 19950, 16385, 16413, 16582, 16696, 16650, 16411, 17151, 16413, 16411, 16448, 26558, 16412, 16385, 30516, 16397, 20813, 16385, 16413, 16411, 24642, 16413, 21188, 16389, 16386, 16400, 16405, 16399, 16410, 19219, 16411, 16398, 24642, 16413, 16411, 16398, 16448, 16413, 16411, 16398, 17151, 16413, 16582, 16696, 16650, 16411, 17151, 16413, 16411, 16448, 26558, 16412, 16385, 16454, 35604, 17229, 16397, 20813, 16385, 16413, 16411, 24642, 16413, 21188, 16389, 16386, 16400, 16405, 16399, 16410, 38063, 16411, 16398, 24642, 16413, 16411, 16398, 16448, 16413, 16411, 16398, 17151, 16413, 16582, 16696, 16411, 16398, 16748, 16413, 16582, 16650, 16411, 16398, 20901, 16413, 16582, 16411, 20901, 17568, 16412, 16385, 29721, 16385, 16413, 16582, 16650, 16411, 20901, 17568, 16412, 16385, 18573, 17118, 18582, 16385, 16413, 16582, 16411, 20901, 17568, 16412, 16385, 23718, 16385, 16413, 16398, 40409, 16398, 16453, 23366, 18689, 19250, 16398, 40152, 16398, 16835, 37158, 22987, 16398, 16427, 19721, 16699, 46501, 24749, 16446, 16424, 16401, 16418, 16398, 16427, 19721, 16456, 46501, 24749, 16446, 16424, 16401, 16418, 16398, 16427, 19721, 16699, 46501, 24749, 16446, 28271, 16402, 16438, 16397, 52854, 16411, 16398, 20901, 16413, 16650, 16411, 16398, 20901, 16413, 16582, 16411, 16398, 20901, 16413, 16582, 16411, 20901, 17568, 16412, 16385, 45453, 16385, 16413, 16582, 16411, 16448, 26558, 16412, 16385, 16446, 51104, 16699, 16446, 40599, 24749, 16446, 16446, 16446, 16466, 16446, 16465, 16402, 16446, 16470, 16446, 16407, 52854, 16397, 20813, 16385, 16413, 21010, 16671, 16647, 29076, 16673, 16811, 19471, 16397, 16411, 16398, 16448, 16413, 16411, 20901, 17568, 16412, 16385, 57678, 16385, 16413, 16411, 19583, 17568, 16412, 16385, 57678, 16385, 16413, 16411, 16448, 17830, 16412, 16385, 16459, 16399, 16399, 16399, 16399, 16400, 16385, 16413, 16411, 16398, 16448, 16413, 16399, 16399, 16399, 16399, 16400, 16604, 16411, 24642, 17568, 16412, 16385, 36308, 16385, 16413, 16398, 16398, 16604, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16411, 16398, 24642, 16413, 16582, 16411, 16448, 17830, 16412, 16385, 16459, 16399, 16399, 16399, 16399, 16401, 16385, 16413, 16411, 16398, 16448, 16413, 16399, 16399, 16399, 16399, 16401, 16604, 16411, 24642, 17568, 16412, 16385, 36308, 16385, 16413, 16398, 16398, 49345, 16809, 23800, 20777, 18689, 19250, 16709, 16604, 16406, 16397, 16402, 16397, 16401, 16399, 16400, 16401, 16397, 16411, 16398, 24642, 16413, 16582, 16411, 16448, 17830, 16412, 16385, 16459, 16399, 16399, 16399, 16399, 16402, 16385, 16413, 16411, 16398, 16448, 16413, 16399, 16399, 16399, 16399, 16402, 16604, 16411, 24642, 17568, 16412, 16385, 36308, 16385, 16413, 16398, 16398, 34832, 16604, 16401, 16399, 16400, 16400, 16604, 16396, 21214, 22283, 17101, 17112, 23949, 16604, 16402, 16397, 16399, 16409, 16411, 16398, 24642, 16413, 16582, 16411, 16448, 17830, 16412, 16385, 16459, 16399, 16399, 16399, 16399, 16403, 16385, 16413, 16411, 16398, 16448, 16413, 16399, 16399, 16399, 16399, 16403, 16604, 16411, 24642, 17568, 16412, 16385, 36308, 16385, 16413, 16398, 16398, 16696, 16696, 21624, 28223, 16396, 34525, 16416, 19064, 27406, 29446, 16396, 21218, 16411, 16398, 24642, 16413, 16582, 16411, 16448, 17830, 16412, 16385, 16459, 16399, 16399, 16399, 16399, 16404, 16385, 16413, 16411, 16398, 16448, 16413, 16399, 16399, 16399, 16399, 16404, 16604, 16411, 24642, 17568, 16412, 16385, 36308, 16385, 16413, 16398, 16398, 16411, 16398, 24642, 16413, 16582, 16411, 16448, 17830, 16412, 16385, 16459, 16399, 16399, 16399, 16399, 16405, 16385, 16413, 16411, 16398, 16448, 16413, 16399, 16399, 16399, 16399, 16405, 16604, 16411, 24642, 17568, 16412, 16385, 36308, 16385, 16413, 16398, 16398, 17170, 20052, 16704, 47360, 16604, 16389, 46802, 16410, 16676, 16704, 16389, 46802, 16410, 16395, 17714, 21975, 17564, 16395, 16674, 16734, 17028, 16604, 16411, 16398, 24642, 16413, 16582, 16411, 16448, 17830, 16412, 16385, 16459, 16399, 16399, 16399, 16399, 16406, 16385, 16413, 16411, 16398, 16448, 16413, 16399, 16399, 16399, 16399, 16406, 16604, 16411, 24642, 17568, 16412, 16385, 36308, 16385, 16413, 16398, 16398, 39048, 16395, 21398, 16785, 36094, 16395, 16741, 16671, 17073, 56326, 16715, 16998, 20380, 16397, 16411, 16398, 24642, 16413, 16582, 16411, 16448, 17830, 16412, 16385, 16459, 16399, 16399, 16399, 16399, 16407, 16385, 16413, 16411, 16398, 16448, 16413, 16399, 16399, 16399, 16399, 16407, 16604, 16411, 24642, 17568, 16412, 16385, 36308, 16385, 16413, 16398, 16398, 16411, 16398, 24642, 16413, 16582, 16411, 16448, 17830, 16412, 16385, 16459, 16399, 16399, 16399, 16399, 16408, 16385, 16413, 16411, 16398, 16448, 16413, 16399, 16399, 16399, 16399, 16408, 16604, 16411, 24642, 17568, 16412, 16385, 36308, 16385, 16413, 16398, 16398, 43028, 35073, 16409, 17933, 16411, 16398, 24642, 16413, 16582, 16411, 16448, 17830, 16412, 16385, 16459, 16399, 16399, 16399, 16400, 16399, 16385, 16413, 16411, 16398, 16448, 16413, 16399, 16399, 16399, 16400, 16399, 16604, 16411, 24642, 17568, 16412, 16385, 36308, 16385, 16413, 16398, 16398, 24182, 16806, 16925, 16409, 20648, 16411, 16398, 24642, 16413, 16582, 16411, 16448, 17830, 16412, 16385, 16459, 16399, 16399, 16399, 16400, 16400, 16385, 16413, 16411, 16398, 16448, 16413, 16399, 16399, 16399, 16400, 16400, 16604, 16411, 24642, 17568, 16412, 16385, 36308, 16385, 16413, 16398, 16398, 16411, 16398, 24642, 16413, 16582, 16411, 16448, 17830, 16412, 16385, 16459, 16399, 16399, 16399, 16400, 16401, 16385, 16413, 16411, 16398, 16448, 16413, 16399, 16399, 16399, 16400, 16401, 16604, 16411, 24642, 17568, 16412, 16385, 36308, 16385, 16413, 16398, 16398, 16604, 16415, 20142, 51071, 46501, 24749, 16446, 28271, 16422, 16397, 16455, 16411, 16398, 24642, 16413, 16582, 16411, 16448, 17830, 16412, 16385, 16459, 16399, 16399, 16399, 16400, 16402, 16385, 16413, 16411, 16398, 16448, 16413, 16399, 16399, 16399, 16400, 16402, 16604, 16411, 24642, 17568, 16412, 16385, 36308, 16385, 16413, 16398, 16398, 17170, 19471, 36080, 16641, 20873, 23764, 30050, 22864, 16721, 18526, 16741, 19749, 16411, 16398, 24642, 16413, 16582, 16411, 16448, 17830, 16412, 16385, 16459, 16399, 16399, 16399, 16400, 16403, 16385, 16413, 16411, 16398, 16448 ]
[ 0, 17681, 22082, 50397, 19429, 16604, 16474, 16386, 16466, 16400, 16476, 16582, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16582, 16582, 32991, 24697, 20062, 16704, 16641, 18166, 19225, 16673, 30174, 16672, 20010, 20322, 16397, 16772, 17362, 33645, 16673, 34147, 16674, 19359, 24720, 16395, 17274, 16741, 16897, 29337, 43542, 50601, 22091, 40061, 16395, 21846, 16641, 18650, 18814, 16672, 16647, 19800, 34330, 16673, 18544, 22155, 16397, 26123, 22155, 28189, 16922, 17032, 16641, 19852, 17047, 24278, 16397, 41830, 16701, 43542, 50601, 22091, 40061, 16704, 21099, 16809, 31972, 43212, 38003, 16672, 58385, 19487, 16395, 16674, 16728, 16704, 16641, 17510, 16673, 34947, 36002, 16604, 16391, 16442, 16415, 22477, 16430, 16399, 16403, 16403, 16406, 16400, 16408, 16418, 16408, 16444, 16392, 16397, 17544, 18185, 16395, 17362, 16396, 37608, 22888, 16604, 16391, 16423, 28903, 16392, 16396, 38224, 37464, 28994, 19800, 22920, 62509, 16870, 16604, 16391, 55774, 16392, 20728, 16674, 46970, 16672, 32983, 16398, 62001, 17040, 17616, 61631, 16395, 18655, 16671, 60922, 24739, 16397, 16711, 16751, 28903, 17027, 22556, 34947, 43212, 38003, 16395, 34947, 19436, 17269, 23789, 16395, 16752, 23156, 25426, 16674, 22660, 28073, 19007, 20896, 16395, 46789, 16673, 46433, 50601, 22091, 32321, 16817, 16604, 16391, 16442, 16415, 22477, 16430, 16399, 16403, 16403, 16406, 16400, 16408, 16418, 16407, 16444, 16392, 16397, 16875, 18150, 16395, 20209, 19591, 18937, 16721, 38455, 16673, 32995, 17181, 32983, 16395, 18821, 16673, 32147, 33330, 27225, 16604, 16391, 49606, 16392, 16395, 16785, 16647, 29981, 31018, 37732, 21348, 16702, 17879, 29209, 16395, 16785, 16809, 20209, 60499, 29981, 19465, 22977, 16395, 16704, 20176, 16672, 21263, 47619, 24196, 43212, 38003, 16741, 17204, 16741, 16647, 19970, 34947, 36820, 16672, 37464, 16604, 16391, 16442, 16415, 22477, 16430, 16399, 16403, 16403, 16406, 16400, 16408, 16418, 16407, 16444, 16410, 16604, 16442, 16415, 22477, 16430, 16399, 16403, 16403, 16406, 16400, 16408, 16418, 16400, 16406, 16444, 16410, 16604, 16442, 16415, 22477, 16430, 16399, 16403, 16403, 16406, 16400, 16408, 16418, 16401, 16406, 16444, 16392, 16397, 18708, 20369, 18510, 16721, 17490, 16641, 16751, 28903, 16674, 34947, 43212, 36481, 24507, 16769, 24124, 19359, 16671, 16897, 29337, 43542, 50601, 22091, 40061, 16397, 16582, 16582, 16393, 33211, 16401, 16393, 16704, 16647, 17154, 17371, 30768, 22849, 49532, 23273, 16672, 17788, 32137, 18147, 16397, 32951, 20335, 16395, 16991, 19831, 16807, 19628, 16721, 16604, 16393, 33211, 16401, 16393, 16704, 19423, 16672, 43212, 36481, 26080, 16410, 16641, 20503, 16715, 34147, 16396, 16879, 43860, 24507, 16672, 16604, 16393, 16419, 19846, 63238, 16393, 56467, 24440, 16671, 16641, 18814, 16715, 16604, 16393, 33211, 16401, 16393, 16672, 44889, 20728, 36481, 16674, 16641, 19208, 16671, 34226, 16396, 53911, 58555, 16604, 16391, 16442, 16415, 22477, 16430, 16399, 16403, 16403, 16406, 16400, 16408, 16418, 16404, 16402, 16444, 16392, 16397, 26367, 16395, 16604, 16393, 33211, 16401, 16393, 23597, 53189, 20825, 16673, 24507, 19423, 16672, 20728, 36481, 16395, 16674, 16647, 19744, 16673, 16604, 16393, 33211, 16401, 16393, 23361, 20728, 41618, 17131, 19732, 19527, 16674, 42690, 17223, 19763, 58555, 25341, 16673, 37464, 16604, 16391, 16442, 16415, 22477, 16430, 16399, 16403, 16403, 16406, 16400, 16408, 16418, 16406, 16444, 16392, 16397, 24123, 16395, 16641, 18961, 18077, 18937, 16751, 28903, 16396, 38224, 37464, 28994, 19800, 18370, 60499, 19415, 16674, 27364, 18370, 16604, 16393, 16451, 33211, 16401, 16393, 20825, 16604, 16391, 16442, 16415, 22477, 16430, 16399, 16403, 16403, 16406, 16400, 16408, 16418, 16406, 16399, 16444, 16392, 16397, 18523, 16395, 16728, 16704, 31797, 18515, 16604, 16393, 33211, 16401, 16393, 16843, 17391, 17015, 17065, 18544, 43212, 36481, 26080, 16397, 16711, 18961, 18077, 16872, 22557, 16604, 16393, 27145, 16418, 16396, 16400, 19766, 16393, 16741, 16641, 25035, 57114, 16673, 16751, 28903, 16396, 31263, 16897, 29337, 43542, 50601, 22091, 40061, 16672, 37464, 17608, 16728, 21846, 18474, 24128, 16672, 46386, 18783, 35781, 16674, 25324, 20734, 22835, 26724, 16604, 16391, 16442, 16415, 22477, 16430, 16399, 16403, 16403, 16406, 16400, 16408, 16418, 16400, 16408, 16444, 16410, 16604, 16442, 16415, 22477, 16430, 16399, 16403, 16403, 16406, 16400, 16408, 16418, 16401, 16399, 16444, 16392, 16397, 42566, 16395, 16604, 16393, 33211, 16401, 16393, 20825, 16843, 26148, 16647, 60199, 19962, 16673, 16647, 46386, 18783, 35781, 17055, 29893, 17662, 16739, 28933, 16396, 16400, 19766, 16395, 16674, 16728, 19713, 20033, 26917, 16739, 28933, 16396, 16400, 19766, 16774, 16861, 17666, 20118, 17490, 16604, 16393, 16642, 36523, 16393, 16674, 16604, 16393, 16642, 37154, 16393, 16397, 16830, 20572, 39275, 18324, 16673, 24547, 16401, 16774, 16861, 51542, 16954, 16785, 20209, 62295, 16445, 16394, 16445, 19415, 63345, 60199, 19962, 16673, 16739, 28933, 16396, 16400, 19766, 16672, 35627, 16674, 23361, 46386, 24892, 16604, 16391, 16442, 16415, 22477, 16430, 16399, 16403, 16403, 16406, 16400, 16408, 16418, 16400, 16405, 16444, 16410, 16604, 16442, 16415, 22477, 16430, 16399, 16403, 16403, 16406, 16400, 16408, 16418, 16403, 16400, 16444, 16392, 16397, 23466, 16395, 26144, 16647, 18774, 17415, 34947, 62295, 16445, 16394, 16445, 16398, 16451, 16434, 20678, 16401, 16398, 16393, 27145, 16418, 16396, 16400, 19766, 16393, 31133, 16674, 18544, 43212, 36481, 16704, 17238, 17889, 16671, 17967, 16647, 25013, 16673, 16897, 29337, 43542, 50601, 22091, 40061, 24261, 16397, 16582, 16582, 17071, 20010, 20322, 16395, 22271, 22722, 16734, 16641, 21374, 22888, 16704, 19570, 16647, 17154, 52010, 16674, 17975, 16396, 57348, 17210, 16671, 19650, 16674, 18233, 34147, 16604, 16391, 16442, 16415, 22477, 16430, 16399, 16403, 16403, 16406, 16400, 16408, 16418, 16405, 16444, 16392, 16397, 47848, 17027, 35404, 18544, 17917, 16674, 36970, 34330, 16673, 18544, 22155, 16672, 17490, 18206, 16674, 16604, 16393, 16419, 19846, 63238, 16393, 16397, 39098, 19831, 17556, 16721, 45385, 22271, 35404, 34947, 50281, 16395, 16674, 16728, 31095, 18370, 16674, 18544, 43212, 19415, 16674, 18544, 44110, 49137, 16672, 17490, 16751, 28903, 16674, 32137, 37464, 16604, 16391, 16442, 16415, 22477, 16430, 16399, 16403, 16403, 16406, 16400, 16408, 16418, 16406, 16399, 16444, 16410, 16604, 16442, 16415, 22477, 16430, 16399, 16403, 16403, 16406, 16400, 16408, 16418, 16406, 16406, 16444, 16392, 16397, 33465, 16395, 22271, 19115, 16813, 17500, 40412, 36977, 46749, 16673, 16647, 18544, 16674, 35404, 16647, 41892, 24889, 21672, 16673, 16647, 18544, 16672, 18206, 16395, 16674, 16728, 17027, 35404, 18950, 16673, 17417, 16673, 18873, 16734, 25917, 18544, 22155, 16604, 16391, 16442, 16415, 22477, 16430, 16399, 16403, 16403, 16406, 16400, 16408, 16418, 16400, 16404, 16444, 16410, 16604, 16442, 16415, 22477, 16430, 16399, 16403, 16403, 16406, 16400, 16408, 16418, 16402, 16401, 16444, 16410, 16604, 16442, 16415, 22477, 16430, 16399, 16403, 16403, 16406, 16400, 16408, 16418, 16405, 16407, 16444, 16392, 16397, 16875, 18150, 16395, 22271, 19800, 25725, 62295, 16445, 16394, 16445, 19415, 16604, 16391, 16442, 16415, 22477, 16430, 16399, 16403, 16403, 16406, 16400, 16408, 16418, 16401, 16404, 16444, 16410, 16604, 16442, 16415, 22477, 16430, 16399, 16403, 16403, 16406, 16400, 16408, 16418, 16402, 16407, 16444, 16392, 16674, 20209, 62295, 16445, 16394, 16445, 19415, 63345, 60199, 19962, 16673, 16739, 28933, 16396, 16400, 19766, 16672, 35627, 16674, 23361, 46386, 24892, 16604, 16391, 16442, 16415, 22477, 16430, 16399, 16403, 16403, 16406, 16400, 16408, 16418, 16400, 16405, 16444, 16410, 16604, 16442, 16415, 22477, 16430, 16399, 16403, 16403, 16406, 16400, 16408, 16418, 16403, 16400, 16444, 16392, 16397, 23466, 16395, 17213, 18466, 18510, 16721, 62295, 16445, 16394, 16445, 16398, 16451, 16434, 20678, 16401, 16398, 16393, 27145, 16418, 16396, 16400, 19766, 16393, 31133, 29304, 17123, 16703, 16917, 16673, 16647, 18474, 27287, 16672, 16944, 22271, 35404, 18544, 17917, 16674, 36272, 16897, 29337, 43542, 50601, 22091, 40061, 16397, 16582, 16582, 17071, 16811, 18077, 16395, 16671, 22597, 18515, 45385, 22271, 17120, 21098, 16751, 28903, 16396, 31263, 16897, 29337, 43542, 50601, 22091, 40061, 19565, 58948, 62295, 16445, 16394, 16445, 16398, 16451, 16434, 20678, 16401, 16398, 16393, 27145, 16418, 16396, 16400, 19766, 16393, 21686, 31133, 16395, 26182, 37464, 16958, 28986, 16641, 16751, 28903, 16674, 18201, 22271, 16395, 16674, 18544, 16604, 16393, 16451, 33211, 16401, 16393, 20825, 16763, 20152, 16809, 18843, 16876, 18327, 16398, 20739, 16396, 36959, 16403, 17434, 16397, 16772, 18544, 60499, 19415, 16674, 16604, 16393, 16451, 16421, 18327, 16393, 23273, 20825, 16958, 29418, 16672, 16647, 43212, 36481, 20584, 16397, 16875, 18150, 16395, 16647, 18544, 17682, 16851, 20673, 31351, 16395, 48919, 20673, 31351, 16395, 61630, 18187, 18998, 16674, 38855, 45984, 16915, 21304, 16958, 29418, 16672, 16647, 18544, 17917, 16397, 24229, 16395, 16647, 34947, 62295, 16445, 16394, 16445, 19415, 16395, 16670, 16434, 20678, 16401, 22036, 17743, 16395, 16604, 16393, 16451, 33211, 16401, 16393, 39438, 20825, 16674, 16604, 16393, 27145, 16418, 16396, 16400, 19766, 16393, 39438, 20825, 16958, 29418, 16672, 16647, 18544, 62295, 16445, 16394, 16445, 16398, 16451, 16434, 20678, 16401, 16398, 16604, 16393, 27145, 16418, 16396, 16400, 19766, 16393, 31133, 20584, 16397, 16582, 16582, 51704, 16427, 21653, 16604, 16474, 16386, 16466, 16401, 16476, 16582, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16582, 16582, 18069, 39389, 33883, 16897, 29337, 43542, 50601, 22091, 40061, 16674, 33331, 34947, 62295, 16445, 16394, 16445, 16398, 16451, 16434, 20678, 16401, 16398, 16393, 27145, 16418, 16396, 16400, 19766, 16393, 31133, 16672, 16604, 16393, 16419, 19846, 63238, 16393, 16604, 16474, 16386, 16466, 16401, 16448, 16476, 16582, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16582, 16582, 40453, 18674, 19591, 39332, 16721, 18544, 16897, 29337, 62586, 40124, 16843, 16703, 29983, 16809, 29877, 16751, 28903, 16672, 17490, 46576, 16674, 37464, 16395, 16674, 16647, 18544, 19436, 17269, 16674, 16693, 24042, 28697, 16958, 48571, 16767, 16647, 17396, 17005, 16604, 16391, 16442, 16415, 22477, 16430, 16399, 16403, 16403, 16406, 16400, 16408, 16418, 16400, 16444, 16410, 16604, 16442, 16415, 22477, 16430, 16399, 16403, 16403, 16406, 16400, 16408, 16418, 16404, 16408, 16444, 16392, 16397, 41830, 16701, 62586, 40124, 16704, 17027, 28950, 16809, 16647, 36002, 16673, 16991, 24507, 16672, 16647, 18544, 16395, 17274, 16741, 16604, 16393, 27145, 16418, 16396, 16400, 19766, 16393, 16395, 16604, 16393, 16451, 16421, 18327, 16393, 16395, 16604, 16393, 49606, 16393, 16395, 19104, 16397, 16604, 16391, 16442, 16415, 22477, 16430, 16399, 16403, 16403, 16406, 16400, 16408, 16418, 16407, 16444, 16410, 16604, 16442, 16415, 22477, 16430, 16399, 16403, 16403, 16406, 16400, 16408, 16418, 16400, 16406, 16444, 16410, 16604, 16442, 16415, 22477, 16430, 16399, 16403, 16403, 16406, 16400, 16408, 16418, 16400, 16408, 16444, 16392, 16397, 17813, 16647, 30094, 16395, 22271, 19115, 35404, 18544, 17917, 16395, 36970, 34330, 16673, 18544, 22155, 16672, 17490, 46576, 16674, 16604, 16393, 16419, 19846, 63238, 16393, 16395, 16674, 31095, 18370, 16674, 18544, 20728, 19415, 16674, 18544, 44110, 49137, 16604, 16391, 16442, 16415, 22477, 16430, 16399, 16403, 16403, 16406, 16400, 16408, 16418, 16406, 16399, 16444, 16410, 16604, 16442, 16415, 22477, 16430, 16399, 16403, 16403, 16406, 16400, 16408, 16418, 16406, 16406, 16444, 16392, 16397, 16875, 18150, 16395, 22271, 19800, 25725, 62295, 16445, 16394, 16445, 19415, 16604, 16391, 16442, 16415, 22477, 16430, 16399, 16403, 16403, 16406, 16400, 16408, 16418, 16401, 16404, 16444, 16410, 16604, 16442, 16415, 22477, 16430, 16399, 16403, 16403, 16406, 16400, 16408, 16418, 16402, 16407, 16444, 16392, 16395, 16674, 16647, 20209, 62295, 16445, 16394, 16445, 19415, 17120, 39224, 60199, 19962, 16673, 16739, 28933, 16396, 16400, 19766, 16672, 19487, 16674, 19031, 46386, 24892, 16604, 16391, 16442, 16415, 22477, 16430, 16399, 16403, 16403, 16406, 16400, 16408, 16418, 16400, 16405, 16444, 16410, 16604, 16442, 16415, 22477, 16430, 16399, 16403, 16403, 16406, 16400, 16408, 16418, 16403, 16400, 16444, 16392, 16397, 18708, 18466, 55592, 16721, 62295, 16445, 16394, 16445, 16398, 16451, 16434, 20678, 16401, 16398, 16393, 27145, 16418, 16396, 16400, 19766, 16393, 31133, 29304, 17123, 16703, 16917, 16673, 18474, 27287, 16721, 22271, 22818, 18544, 17917, 16674, 33883, 16897, 29337, 43542, 50601, 22091, 40061, 16397, 17999, 21986, 16811, 33018, 16395, 24437, 37464, 16672, 16811, 21378, 16958, 35024, 16671, 22271, 26536, 16674, 16641, 16751, 28903, 26536, 16397, 16582, 16582, 17071, 16811, 18077, 16395, 17038, 18466, 20332, 16721, 16641, 16751, 28903, 43302, 19800, 18544, 60499, 19415, 16672, 16819, 48701, 16396, 16393, 16470, 16445, 16400, 16400, 16400, 16407, 16445, 16393, 37464, 16604, 16391, 16393, 16431, 16393, 16443, 16411, 16399, 16397, 16399, 16400, 16392, 16395, 16674, 16728, 17027, 16903, 38011, 18544, 16604, 16393, 16451, 16421, 18327, 16393, 20825, 19415, 16604, 16391, 16393, 16431, 16393, 16443, 16411, 16399, 16397, 16399, 16400, 16392, 16397, 18708, 16958, 23354, 16734, 16647, 18466, 16673, 18722, 19831, 16397, 16875, 18150, 16395, 16742, 17494, 16721, 22271, 48417, 17696, 21999, 18544, 60499, 17743, 16674, 16604, 16393, 16451, 16421, 18327, 16393, 20825, 17743, 16672, 17490, 16604, 16393, 16470, 16445, 16400, 16400, 16400, 16407, 16445, 16393, 16396, 25825 ]
[ 0, 16400, 16399, 16400, 16773, 16397, 16402, 16451, 16604, 16400, 16402, 16408, 16404, 16582, 16403, 16402, 16799, 23089, 16604, 16400, 16405, 16406, 16402, 16395, 16604, 16402, 16401, 16401, 16876, 16397, 16434, 16397, 20323, 16397, 16419, 16397, 16418, 16397, 16604, 16400, 16399, 16406, 16395, 16604, 16405, 16404, 18763, 16427, 16438, 16604, 16401, 16403, 16402, 16407, 16395, 16401, 16406, 17973, 34904, 16459, 16397, 16790, 16397, 18203, 16397, 16604, 16401, 16399, 16395, 16403, 16406, 16405, 16582, 20628, 46804, 60559, 54131, 18320, 34384, 52305, 36057, 20138, 38681, 16674, 22905, 39110, 33015, 21082, 21599, 16395, 16641, 29595, 19052, 19541, 39145, 16395, 51643, 16756, 16395, 16469, 16397, 21225, 44896, 42576, 18311, 31830, 16437, 20678, 17759, 27630, 18189, 22063, 18957, 46214, 28347, 42040, 16440, 16395, 64518, 16397, 16582, 16429, 16786, 16397, 16604, 16408, 16404, 16396, 16400, 16405, 16400, 16400, 16395, 16604, 16408, 16405, 16396, 16400, 16399, 16400, 16404, 16604, 16389, 16604, 16408, 16405, 16396, 16400, 16399, 16403, 16407, 16397, 16582, 32384, 18644, 19758, 16673, 39967, 16395, 55574, 16673, 26396, 32638, 16397, 16582, 26967, 18268, 18657, 16397, 16604, 16402, 16395, 16604, 16400, 16408, 16408, 16405, 16397, 27149, 18789, 21597, 16397, 16604, 16405, 16395, 16604, 16400, 16408, 16408, 16405, 16397, 16582, 16582, 18301, 51643, 16715, 21242, 16673, 16667, 25997, 16673, 16647, 27801, 27960, 25591, 16397, 16582, 33958, 27721, 17695, 16397, 22480, 16395, 19824, 16739, 16397, 16793, 17138, 27814, 16395, 20059, 16395, 23675, 16674, 30005, 16908, 16397, 20533, 16395, 20624, 28959, 16395, 25504, 16395, 27641, 16647, 22556, 16715, 27182, 16756, 16395, 16734, 21445, 22229, 16796, 16397, 21906, 22591, 16395, 31535, 16702, 16397, 44102, 16395, 38857, 16778, 16397, 40482, 16674, 31266, 16790, 16397, 16762, 16713, 54470, 18974, 16958, 16709, 16647, 22275, 21695, 16466, 16397, 16650, 34825, 16759, 16397, 32105, 16395, 24538, 16397, 23373, 16667, 23419, 16397, 16582, 22638, 16711, 16397, 17614, 16452, 19216, 16674, 16799, 55692, 16700, 16397, 48860, 16932, 16395, 60053, 16395, 18303, 18644, 19542, 16673, 23234, 16395, 20059, 16395, 23675, 16395, 27641, 16647, 22556, 16715, 48138, 16395, 16734, 21445, 61173, 16832, 16397, 18609, 52248, 16395, 29427, 27330, 20405, 16395, 16763, 16709, 16647, 21695, 16397, 16582, 25379, 16409, 16650, 16438, 18189, 16419, 16395, 16796, 17681, 33441, 20146, 16422, 16674, 16778, 23849, 19785, 29049, 16395, 32638, 56515, 16397, 16582, 16438, 18189, 16419, 16395, 32638, 27735, 16409, 16582, 16582, 16582, 16400, 16582, 60866, 19044, 38947, 44176, 20943, 16674, 22905, 39110, 22995, 21082, 21599, 16674, 44176, 22905, 26089, 28207, 36163, 16604, 16391, 38954, 18444, 16604, 16385, 23265, 17019, 16756, 16385, 16392, 20929, 16647, 18551, 21743, 33803, 30136, 21173, 22421, 16604, 16391, 16385, 21332, 16438, 16385, 16392, 44427, 16721, 16958, 18006, 57589, 16895, 16809, 16647, 27801, 27960, 25591, 16604, 16391, 16385, 61829, 16385, 16785, 16604, 16385, 61011, 16385, 16392, 16709, 19293, 16604, 16400, 16408, 16395, 16604, 16400, 16408, 16408, 16404, 16397, 16650, 23531, 34322, 16673, 29627, 16715, 40188, 44176, 34882, 16803, 17035, 16674, 16799, 19693, 43344, 16715, 17812, 27046, 52830, 16395, 16604, 16405, 16399, 29142, 16397, 22020, 16397, 16604, 16405, 16404, 16395, 16402, 16407, 16406, 16604, 16391, 16400, 16408, 16408, 16404, 16392, 16604, 16391, 16385, 16400, 16408, 16408, 16404, 34322, 16385, 16392, 16397, 16650, 21970, 21743, 16395, 16944, 19682, 25419, 16604, 16400, 16400, 16400, 16674, 16604, 16400, 16401, 16408, 16673, 16647, 33719, 20171, 18899, 16604, 16391, 16385, 16418, 18593, 16385, 16392, 16395, 16604, 16403, 16401, 16876, 16397, 16434, 16397, 16418, 16397, 16604, 25660, 25660, 16604, 16406, 16403, 16400, 16400, 16395, 16604, 16406, 16403, 16401, 16408, 16604, 16391, 16400, 16408, 16408, 16403, 16392, 16395, 18379, 17009, 19419, 18980, 21743, 16604, 16391, 16385, 22333, 19725, 16385, 16392, 16674, 27092, 25921, 16715, 16641, 20710, 16673, 34161, 16674, 55708, 16397, 16650, 16853, 31978, 19725, 20746, 16671, 17009, 30136, 22421, 39993, 16658, 16604, 16391, 16385, 29564, 16418, 16385, 16392, 21932, 16395, 17437, 16647, 32186, 25921, 20746, 16671, 21160, 16727, 38904, 21932, 16397, 16582, 16582, 16582, 16401, 16582, 22223, 16671, 27182, 16756, 16395, 16647, 16604, 16400, 16408, 16408, 16404, 21743, 24677, 16647, 33986, 16390, 16466, 38626, 22645, 17131, 16647, 16719, 18593, 17172, 16873, 16769, 18138, 16709, 16647, 36569, 24092, 16438, 44427, 21672, 16604, 16391, 16385, 21332, 16438, 21672, 16385, 16392, 16673, 16647, 20282, 16767, 16944, 16641, 16727, 38904, 20666, 16704, 20186, 16395, 18661, 17032, 16709, 16647, 24092, 16438, 21672, 16673, 16647, 16727, 38904, 20666, 16397, 16650, 16431, 29107, 16756, 17027, 25470, 16721, 16741, 21627, 16671, 17007, 16647, 16604, 16400, 16408, 16408, 16404, 21743, 16769, 34820, 16674, 17895, 17404, 17531, 16674, 16721, 16647, 33986, 21431, 16671, 31041, 16734, 16647, 16719, 18593, 16390, 16466, 50761, 21007, 16672, 41690, 16647, 21743, 16397, 16650, 16418, 17351, 33916, 16461, 17143, 51002, 36964, 16604, 16391, 16385, 24546, 23089, 16385, 16392, 33474, 16721, 16647, 33986, 41075, 17073, 38626, 22645, 16395, 31741, 64060, 16674, 17895, 17404, 24400, 16395, 16674, 21431, 16671, 31041, 16734, 16647, 16719, 18593, 16390, 16466, 50761, 21007, 16672, 26666, 16647, 21743, 16671, 35806, 25120, 21918, 16397, 16650, 23097, 16742, 19884, 16734, 27182, 16756, 16721, 16647, 16604, 16400, 16408, 16408, 16404, 21743, 43100, 16647, 26313, 20285, 16673, 19648, 16604, 16400, 16401, 16408, 16674, 20821, 19774, 16758, 16647, 21743, 16395, 16742, 16829, 16804, 20378, 27182, 16756, 16390, 19642, 21532, 16785, 17310, 16673, 44805, 23089, 16397, 16582, 16582, 16424, 16397, 53819, 26517, 35049, 16582, 16582, 16402, 16582, 21332, 16438, 16704, 16647, 22421, 23540, 16809, 23909, 16395, 20936, 16395, 27533, 16674, 23295, 21331, 16395, 17274, 16741, 42663, 16395, 32332, 16395, 18308, 58136, 16395, 27696, 16674, 19156, 19420, 16397, 16650, 21332, 16438, 16704, 38377, 16673, 16672, 18247, 16453, 18285, 16785, 16809, 17878, 21722, 16725, 16395, 17027, 23541, 16671, 16741, 44427, 16397, 16650, 22223, 16671, 16647, 33986, 16395, 22051, 16604, 16400, 16405, 18448, 16673, 16647, 24092, 16438, 23540, 16672, 16647, 18303, 18644, 18120, 16704, 18587, 29642, 16397, 16650, 16400, 16408, 16408, 16404, 34322, 16395, 16604, 16405, 16399, 29142, 16397, 22020, 16397, 16767, 16604, 16405, 16404, 16395, 16402, 16408, 16399, 16395, 16604, 16405, 16404, 16395, 16402, 16408, 16401, 16397, 16650, 34882, 16803, 16679, 16673, 24092, 16438, 18466, 16672, 16647, 32186, 16673, 19001, 18398, 56750, 16395, 17274, 16741, 22363, 40360, 16395, 17840, 17220, 16395, 35801, 16395, 36867, 24821, 18302, 16674, 30176, 16395, 16991, 16673, 16944, 16769, 19570, 16671, 16703, 37106, 42032, 16785, 16671, 16807, 16977, 29175, 19938, 17014, 47675, 19949, 16397, 16650, 23531, 34764, 16673, 40188, 44176, 34882, 16803, 16658, 20156, 24633, 21214, 16647, 33719, 20171, 18899, 16395, 16604, 16404, 16401, 29142, 16397, 22020, 16397, 16604, 16401, 16404, 16395, 16402, 16408, 16408, 16395, 16604, 16401, 16404, 16395, 16403, 16399, 16402, 16396, 16399, 16405, 16604, 16391, 16400, 16408, 16407, 16406, 16392, 16604, 16391, 16385, 16400, 16408, 16407, 16406, 34764, 16385, 16392, 16397, 16650, 33425, 16849, 16665, 16809, 20299, 24073, 16931, 16647, 19056, 42804, 16673, 18398, 27092, 16815, 16727, 38904, 21932, 16395, 16741, 17204, 16741, 16641, 27182, 16815, 18295, 19619, 16674, 21958, 19318, 16395, 16672, 16604, 16400, 16408, 16407, 16406, 16647, 33986, 21946, 16667, 22083, 20865, 16673, 17073, 25464, 16671, 35735, 16727, 38904, 21932, 17131, 19648, 16604, 16400, 16400, 16400, 16673, 16647, 16719, 18593, 16395, 16944, 21384, 16647, 33986, 16671, 32889, 32186, 21743, 16715, 21331, 16721, 16647, 33986, 34158, 16604, 16385, 20038, 19637, 16395, 16785, 36903, 21777, 16671, 16395, 18398, 29746, 16944, 17123, 32444, 16703, 30571, 16671, 17291, 19386, 17726, 17730, 16785, 28724, 16397, 16385, 16650, 16403, 16401, 16876, 16397, 16434, 16397, 16418, 16397, 16604, 25660, 16604, 16406, 16403, 16400, 16400, 16391, 16449, 16392, 16391, 16400, 16392, 16391, 16416, 16392, 16410, 16650, 16400, 16408, 16407, 16406, 34764, 16395, 16604, 16404, 16401, 29142, 16397, 22020, 16397, 16767, 16604, 16401, 16404, 16395, 16402, 16408, 16408, 16604, 16391, 16400, 16408, 16407, 16406, 16392, 16397, 16582, 16582, 16582, 16403, 16582, 16853, 33986, 21946, 16647, 21270, 21743, 16715, 16727, 38904, 27092, 16672, 16604, 16400, 16408, 16407, 16408, 16397, 16650, 23531, 34322, 16673, 29627, 16715, 17360, 26664, 16936, 52830, 16409, 16650, 16428, 24432, 16666, 44176, 34882, 16803, 17035, 16395, 16604, 16404, 16403, 29142, 16397, 22020, 16397, 16604, 16404, 16401, 16395, 16401, 16404, 16400, 16604, 16391, 16400, 16408, 16407, 16408, 16392, 16604, 16391, 16385, 16400, 16408, 16407, 16408, 60585, 31978, 19725, 16385, 16392, 16410, 16650, 16420, 19693, 43344, 16409, 16650, 16428, 24432, 16666, 44176, 34882, 16803, 17035, 16395, 16604, 16404, 16403, 29142, 16397, 22020, 16397, 16604, 16404, 16401, 16395, 16401, 16399, 16408, 16604, 16391, 16400, 16408, 16407, 16408, 16392, 16604, 16391, 16385, 16400, 16408, 16407, 16408, 60585, 43344, 16385, 16392, 16397, 16650, 16853, 21270, 21743, 17132, 16804, 18616, 16721, 16998, 18343, 19000, 16703, 25015, 16672, 16727, 38904, 21932, 16671, 18123, 27092, 16410, 16650, 56486, 16395, 16873, 20916, 24727, 16709, 16647, 19415, 16673, 18244, 56750, 16721, 16727, 38904, 21932, 17120, 48232, 16395, 16674, 26552, 17213, 24727, 16815, 26144, 16647, 17743, 16673, 27092, 60781, 16734, 16647, 17514, 29746, 18123, 19000, 16397, 16650, 17071, 31040, 17213, 32186, 24727, 16395, 16647, 21743, 34390, 18493, 16727, 38904, 21932, 18138, 16709, 18515, 16647, 20666, 16763, 19789, 17135, 16785, 16763, 18022, 21160, 16767, 16647, 17005, 16647, 21743, 16958, 21270, 16674, 16709, 16647, 36569, 24092, 16438, 21672, 16673, 16647, 20282, 16767, 16944, 16641, 16727, 38904, 20666, 16763, 20186, 16397, 16650, 21332, 16438, 21672, 16763, 21365, 16741, 16647, 22745, 18636, 16673, 24092, 16438, 16721, 17120, 16703, 18587, 29642, 20217, 16767, 16641, 20666, 16395, 16674, 36569, 24092, 16438, 20282, 21672, 16763, 21365, 16741, 16647, 18400, 16673, 16647, 24092, 16438, 47079, 16673, 16858, 16673, 16647, 16727, 38904, 21932, 16767, 16647, 17396, 20447, 16397, 16650, 16400, 16408, 16407, 16408, 60585, 31978, 19725, 16395, 16604, 16404, 16403, 29142, 16397, 22020, 16397, 16767, 16604, 16404, 16401, 16395, 16401, 16404, 16404, 16395, 16604, 16404, 16401, 16395, 16401, 16405, 16400, 16396, 16405, 16401, 16410, 16650, 16400, 16408, 16407, 16408, 60585, 43344, 16395, 16604, 16404, 16403, 29142, 19142, 16397, 16767, 16604, 16404, 16401, 16395, 16401, 16400, 16402, 16395, 16604, 16404, 16400, 16395, 16401, 16400, 16408, 16396, 16401, 16399, 16397, 16582, 16582, 16582, 16404, 16582, 16853, 21270, 21743, 16715, 17009, 21932, 20186, 16767, 22372, 16734, 16667, 36569, 21672, 20580, 17032, 16604, 16401, 16404, 16399, 27527, 16972, 17386, 16604, 16391, 16385, 40965, 16398, 17093, 16385, 16392, 16604, 16391, 16385, 35690, 17009, 21932, 16385, 16392, 16395, 16674, 21160, 21932, 20186, 16767, 22372, 16734, 16667, 36569, 24092, 16438, 21672, 18568, 16604, 16401, 16395, 16401, 16399, 16399, 27527, 16398, 17093, 16604, 16391, 16385, 18326, 17625, 21160, 21932, 16385, 16392, 16395, 16958, 18138, 16709, 16647, 27092, 18123, 60781, 16734, 16647, 21165, 24047, 50047, 16885, 17434, 16395, 16641, 30162, 60429, 16398, 46388, 17404, 24052, 17434, 16604, 16391, 16385, 23460, 16398, 20840, 16385, 16392, 16397, 16650, 16853, 21743, 16715, 17009, 21932, 20186, 16767, 22372, 16734, 16667, 36569, 21672, 16673, 16604, 16401, 16404, 16399, 27527, 16398, 17093, 16785, 17827, 16604, 16391, 16385, 29702, 17009, 21932, 16385, 16392, 16674, 21160, 21932, 20186, 16767, 22372, 16734, 16667, 36569, 24092, 16438, 21672, 18568, 16604, 16401, 16404, 16399, 27527, 16641, 17386, 16674, 16903, 16671, 16604, 16401, 16395, 16401, 16399, 16399, 27527, 16398, 17093, 16604, 16391, 16385, 35690, 21160, 21932, 16385, 16392, 16395, 16958, 18138, 16709, 16647, 27092, 18123, 60781, 16734, 16667, 33656, 50047, 16885, 17434, 16395, 17274, 16741, 22269, 36404, 56357, 31289, 16398, 46388, 17404, 24052, 16604, 16391, 16385, 22569, 16424, 16398, 20840, 16385, 16392, 17434, 16785, 16641, 22269, 36404, 56357, 31289, 16398, 28836, 16689, 22844, 34936, 16654, 17662, 16604, 16391, 16385, 22569, 16424, 16398, 34644, 16385, 16392, 17434, 16397, 16400, 16650, 16853, 21743, 16715, 21160, 21932, 20186, 16767, 22372, 16734, 16667, 36569, 24092, 16438, 21672, 16673, 16604, 16401, 16404, 16399, 27527, 16398, 17093, 16785, 17827, 16604, 16391, 16385, 29702, 21160, 21932, 16385, 16392, 16395, 16709, 16647, 16977, 17459, 16395, 17132, 16804, 18913, 28985, 16647, 17231, 16673, 16998, 50047, 16885, 19000, 17172, 16647, 33986, 19728, 16721, 17073, 17985, 16715, 17213, 17785, 22372, 16961, 16703, 46336, 16397, 16650, 34015, 16395, 16647, 21743, 16715, 17785, 21160, 16727, 38904, 21932, 17097, 19062, 16721, 17213, 22372, 18160, 16667, 32459, 16395, 16647, 22250, 18123, 19000, 18125, 16671, 21033, 27092, 16673, 17612, 21663, 18798, 16395, 16674, 16395, 16945, 16858, 16727, 38904, 21932, 16395, 17482, 17203, 44427, 22202, 16604, 16391, 16385, 16422, 24940, 16385, 16392, 16674, 18053, 18244, 18651, 29620, 21007, 16397, 16401, 16650, 16400, 16408, 16407, 16408, 60585, 31978, 19725, 16395, 16604, 16404, 16403, 29142, 16397, 22020, 16397, 16767, 16604, 16404, 16401, 16395, 16401, 16404, 16403, 16395, 16604, 16404, 16401, 16395, 16401, 16406, 16401, 16410, 16650, 16400, 16408, 16407, 16408, 60585, 43344, 16395, 16604, 16404, 16403, 29142, 16397, 22020, 16397, 16767, 16604, 16404, 16401, 16395, 16399, 16400, 16401, 16396, 16404, 16401, 16395, 16401, 16401, 16407, 16396, 16402, 16399, 16397, 16582, 16582, 16582, 16405, 16582, 48850, 26415, 16671, 16647, 33986, 16390, 16466, 16604, 16400, 16408, 16407, 16408, 21270, 21743, 16809, 32708, 16661, 19648, 16604, 16400, 16401, 16408, 16395, 22365, 26386, 16671, 21173, 22421, 17878, 21722, 16725, 21932, 16395, 16741, 17015, 16673, 31156, 23991, 16673, 16647, 16604, 16400 ]
[ 0, 16400, 16397, 35453, 16604, 16474, 16386, 19810, 16400, 16396, 16450, 34139, 16396, 16400, 16401, 16396, 16399, 16399, 16400, 16407, 16404, 16476, 16582, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16582, 16582, 54064, 16893, 18122, 16738, 16396, 18933, 57934, 16604, 16391, 37682, 19634, 16427, 16392, 29320, 16931, 16604, 16403, 16399, 16388, 16673, 16858, 31136, 29193, 16395, 21139, 24345, 16647, 17154, 39249, 18383, 16673, 17975, 16396, 16423, 16745, 16454, 22326, 57934, 16397, 16999, 16843, 31869, 16774, 65424, 16785, 17539, 16815, 16647, 51868, 27026, 16673, 16641, 16922, 17193, 16723, 16682, 57934, 16397, 21937, 16671, 16604, 16393, 16853, 16604, 16401, 16399, 16400, 16405, 37173, 16673, 16647, 18671, 19218, 29317, 16604, 16391, 53550, 16392, 30981, 16673, 31136, 17819, 16864, 50586, 17413, 16393, 16986, 16769, 16604, 16400, 16402, 17242, 30179, 16673, 57934, 21365, 16741, 18462, 29472, 16395, 17802, 17160, 16647, 17745, 16741, 44917, 19634, 16427, 16804, 21327, 25101, 16604, 16391, 16429, 19445, 16392, 16395, 16944, 18375, 16715, 16647, 23587, 20987, 16673, 44917, 19634, 16427, 16466, 16604, 16443, 16442, 16442, 16415, 16417, 16400, 16396, 16450, 34139, 16396, 16400, 16401, 16396, 16399, 16399, 16400, 16407, 16404, 16444, 16443, 16444, 16397, 16772, 19749, 19165, 19474, 25438, 16673, 24813, 16462, 23978, 30271, 16604, 16391, 17147, 19125, 16706, 16775, 20944, 28519, 18737, 24594, 41968, 16395, 16829, 16471, 16658, 60731, 16642, 16395, 16776, 21027, 17697, 16856, 16395, 16674, 19049, 30748, 16877, 16396, 16396, 16396, 16433, 16396, 20260, 19989, 16392, 16395, 16944, 39033, 16667, 20562, 25341, 16604, 16391, 19445, 16392, 16673, 16922, 17032, 16604, 16405, 16399, 16388, 16715, 44917, 19634, 16427, 16396, 16429, 19445, 19140, 16397, 16875, 18343, 16395, 16641, 52369, 16673, 18198, 18873, 16734, 56218, 16396, 17491, 20226, 20650, 20062, 16843, 17199, 20449, 16647, 17396, 21903, 20763, 16734, 26216, 32587, 16673, 16778, 16396, 20260, 19989, 16604, 16443, 16442, 16442, 16415, 16417, 16401, 16396, 16450, 34139, 16396, 16400, 16401, 16396, 16399, 16399, 16400, 16407, 16404, 16444, 16443, 16444, 16397, 18523, 16395, 16903, 16671, 16604, 16403, 16399, 16388, 16673, 18873, 25873, 57995, 16785, 17627, 17297, 17029, 16604, 16391, 16433, 16398, 16433, 16392, 20062, 16604, 16443, 16442, 16442, 16415, 16417, 16402, 16396, 16450, 34139, 16396, 16400, 16401, 16396, 16399, 16399, 16400, 16407, 16404, 16444, 16443, 16444, 16674, 16715, 17007, 16647, 19749, 57305, 19474, 25438, 16673, 18251, 56932, 27100, 18155, 54093, 16395, 17199, 16980, 17301, 16396, 20524, 20062, 18123, 16704, 24086, 16672, 26216, 17032, 16604, 16404, 16399, 16388, 16673, 19140, 16604, 16443, 16442, 16442, 16415, 16417, 16403, 16396, 16450, 34139, 16396, 16400, 16401, 16396, 16399, 16399, 16400, 16407, 16404, 16444, 16443, 16444, 16397, 51063, 16704, 20278, 20154, 16715, 18873, 17221, 18220, 16661, 17989, 16917, 16987, 17135, 16778, 16396, 20260, 19989, 16734, 26216, 17032, 16604, 16400, 16404, 16388, 16673, 18873, 30808, 16641, 43675, 63899, 16604, 16443, 16442, 16442, 16415, 16417, 16404, 16396, 16450, 34139, 16396, 16400, 16401, 16396, 16399, 16399, 16400, 16407, 16404, 16444, 16395, 16442, 16415, 16417, 16405, 16396, 16450, 34139, 16396, 16400, 16401, 16396, 16399, 16399, 16400, 16407, 16404, 16444, 16395, 16442, 16415, 16417, 16406, 16396, 16450, 34139, 16396, 16400, 16401, 16396, 16399, 16399, 16400, 16407, 16404, 16444, 16443, 16444, 16397, 37460, 16816, 23720, 16675, 44981, 32174, 16604, 16391, 35618, 16392, 16700, 16396, 18933, 38094, 16807, 16992, 22782, 16741, 21963, 17422, 17225, 19943, 16715, 18873, 16734, 17221, 18220, 16661, 16785, 17627, 17297, 17029, 20062, 16397, 39759, 16700, 19487, 18658, 16641, 17009, 17568, 16673, 31395, 24813, 30271, 24864, 16794, 37154, 25998, 34795, 16673, 18873, 16390, 16700, 19487, 16395, 50903, 16700, 16396, 18933, 29304, 16674, 59555, 62586, 16604, 16443, 16442, 16442, 16415, 16417, 16407, 16396, 16450, 34139, 16396, 16400, 16401, 16396, 16399, 16399, 16400, 16407, 16404, 16444, 16443, 16444, 16395, 16721, 25402, 17203, 34792, 16672, 16738, 16396, 18933, 55861, 32705, 19165, 16395, 17789, 44917, 19634, 16427, 16604, 16443, 16442, 16442, 16415, 16417, 16408, 16396, 16450, 34139, 16396, 16400, 16401, 16396, 16399, 16399, 16400, 16407, 16404, 16444, 16395, 16442, 16415, 16417, 16400, 16399, 16396, 16450, 34139, 16396, 16400, 16401, 16396, 16399, 16399, 16400, 16407, 16404, 16444, 16443, 16444, 16397, 16875, 16811, 20409, 16395, 16641, 17036, 20228, 16673, 20154, 26559, 16704, 32644, 16671, 17221, 18220, 16661, 19140, 16674, 16671, 18873, 16734, 17627, 17297, 17029, 20062, 16604, 16443, 16442, 16442, 16415, 16417, 16405, 16396, 16450, 34139, 16396, 16400, 16401, 16396, 16399, 16399, 16400, 16407, 16404, 16444, 16443, 16444, 16715, 16944, 17199, 39759, 16700, 16396, 18933, 22595, 28813, 16604, 16443, 16442, 16442, 16415, 16417, 16400, 16400, 16396, 16450, 34139, 16396, 16400, 16401, 16396, 16399, 16399, 16400, 16407, 16404, 16444, 16443, 16444, 16397, 16582, 16582, 37068, 16395, 16728, 16704, 22009, 16671, 19514, 16715, 21903, 23239, 16674, 57860, 16721, 17120, 17261, 16671, 17607, 44917, 19634, 16427, 18873, 16390, 40545, 16674, 39138, 18698, 16397, 62013, 16395, 20788, 16671, 16647, 27793, 16673, 24632, 47413, 16674, 29703, 24347, 28830, 16641, 22753, 16673, 17624, 16704, 23540, 16395, 38021, 16647, 20174, 16673, 40361, 22595, 16922, 29195, 16397, 16875, 16647, 19443, 16671, 17646, 16991, 17970, 16672, 16647, 17154, 18961, 43913, 16709, 44917, 19634, 16427, 18147, 16395, 16742, 28112, 16647, 20120, 26182, 19831, 16672, 16811, 18676, 16395, 26305, 16709, 16647, 17154, 17889, 23806, 21577, 16672, 16647, 19083, 16673, 57934, 18873, 16815, 16647, 22410, 16673, 40361, 24139, 16397, 16582, 16582, 16400, 16397, 16400, 16397, 28047, 17359, 20226, 26735, 18619, 16715, 44917, 19634, 16427, 16604, 16474, 16386, 19810, 16400, 29200, 16400, 16396, 16450, 34139, 16396, 16400, 16401, 16396, 16399, 16399, 16400, 16407, 16404, 16476, 16582, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16582, 16582, 19494, 16673, 16647, 17154, 25662, 17405, 62531, 21194, 16704, 16647, 16604, 16393, 33599, 17359, 20226, 26735, 28078, 16393, 16604, 16391, 20337, 16424, 16392, 16604, 16443, 16442, 16442, 16415, 16417, 16400, 16401, 16396, 16450, 34139, 16396, 16400, 16401, 16396, 16399, 16399, 16400, 16407, 16404, 16444, 16443, 16444, 16395, 20040, 36669, 16674, 33010, 16872, 16992, 28282, 16809, 18295, 38121, 16604, 16443, 16442, 16442, 16415, 16417, 16400, 16402, 16396, 16450, 34139, 16396, 16400, 16401, 16396, 16399, 16399, 16400, 16407, 16404, 16444, 16443, 16444, 16397, 18523, 16395, 16728, 20435, 27602, 17097, 18514, 21903, 23239, 16604, 16391, 16898, 16395, 43597, 16758, 16774, 61194, 16954, 16395, 18980, 20584, 16395, 17679, 16673, 17471, 19284, 58577, 21186, 16395, 16674, 20624, 53331, 20041, 16392, 16395, 17714, 22438, 16647, 18783, 33928, 24319, 16673, 16647, 53156, 16397, 16582, 16582, 16853, 17092, 16674, 38266, 17154, 25662, 17405, 18783, 33928, 62531, 17662, 16673, 44917, 19634, 16427, 23046, 18018, 16704, 16647, 18155, 16396, 17663, 16396, 46494, 16604, 16391, 16418, 22312, 16392, 27771, 18138, 16709, 23273, 20825, 53280, 16604, 16391, 25189, 16431, 16392, 16395, 16944, 17242, 16451, 17871, 16659, 17154, 44917, 19634, 16427, 16396, 16429, 19445, 18873, 17065, 17142, 17736, 25796, 16395, 30807, 36100, 17667, 20128, 16738, 16396, 18933, 16396, 19064, 16604, 16391, 28933, 16417, 16392, 16395, 16980, 31639, 16734, 20825, 19696, 18655, 16671, 36100, 17667, 20128, 19487, 16395, 16674, 33331, 16738, 16396, 18933, 16396, 19064, 16604, 16391, 43134, 16392, 44917, 19634, 16427, 16604, 16443, 16442, 16442, 16415, 16417, 16400, 16403, 16396, 16450, 34139, 16396, 16400, 16401, 16396, 16399, 16399, 16400, 16407, 16404, 16444, 16443, 16444, 16395, 17014, 31639, 19696, 18655, 16671, 33331, 16738, 16396, 16697, 45663, 34784, 16397, 17170, 47465, 16704, 21646, 16715, 22595, 16674, 50328, 16395, 16741, 29267, 19140, 17299, 16641, 21312, 24637, 16741, 30709, 31462, 16396, 22068, 25341, 16604, 16391, 16431, 26278, 16392, 16674, 26559, 17135, 19165, 16734, 16778, 16396, 20260, 19989, 19749, 22595, 16604, 16443, 16442, 16442, 16415, 16417, 16400, 16403, 16396, 16450, 34139, 16396, 16400, 16401, 16396, 16399, 16399, 16400, 16407, 16404, 16444, 16395, 16442, 16415, 16417, 16400, 16404, 16396, 16450, 34139, 16396, 16400, 16401, 16396, 16399, 16399, 16400, 16407, 16404, 16444, 16395, 16442, 16415, 16417, 16400, 16405, 16396, 16450, 34139, 16396, 16400, 16401, 16396, 16399, 16399, 16400, 16407, 16404, 16444, 16443, 16444, 16672, 23576, 16671, 36046, 16417, 18873, 16397, 16582, 16582, 21925, 16395, 16796, 25306, 17181, 20338, 19504, 16975, 38382, 16641, 20929, 17172, 16728, 16704, 18125, 17097, 16715, 16641, 17785, 28697, 16673, 18873, 20040, 39438, 16843, 16703, 35265, 16815, 21012, 16785, 31296, 32113, 16397, 16772, 25365, 16671, 34378, 16796, 25306, 16734, 24813, 17519, 39102, 40879, 16604, 16391, 16424, 29962, 16392, 26524, 16671, 24518, 16642, 16396, 42889, 16395, 17707, 18245, 16642, 16396, 35364, 28833, 16604, 16391, 20840, 23054, 16392, 24588, 23375, 16604, 16443, 16442, 16442, 16415, 16417, 16400, 16406, 16396, 16450, 34139, 16396, 16400, 16401, 16396, 16399, 16399, 16400, 16407, 16404, 16444, 16395, 16442, 16415, 16417, 16400, 16407, 16396, 16450, 34139, 16396, 16400, 16401, 16396, 16399, 16399, 16400, 16407, 16404, 16444, 16395, 16442, 16415, 16417, 16400, 16408, 16396, 16450, 34139, 16396, 16400, 16401, 16396, 16399, 16399, 16400, 16407, 16404, 16444, 16395, 16442, 16415, 16417, 16401, 16399, 16396, 16450, 34139, 16396, 16400, 16401, 16396, 16399, 16399, 16400, 16407, 16404, 16444, 16395, 16442, 16415, 16417, 16401, 16400, 16396, 16450, 34139, 16396, 16400, 16401, 16396, 16399, 16399, 16400, 16407, 16404, 16444, 16395, 16442, 16415, 16417, 16401, 16401, 16396, 16450, 34139, 16396, 16400, 16401, 16396, 16399, 16399, 16400, 16407, 16404, 16444, 16443, 16444, 49609, 17653, 18502, 16673, 35040, 29144, 24053, 16671, 16647, 20169, 40848, 16673, 18466, 16395, 17199, 17014, 16647, 17396, 26435, 16604, 16391, 16423, 16890, 16395, 16997, 28981, 16395, 17916, 31314, 16395, 22453, 16656, 16395, 16739, 21761, 16456, 16395, 16785, 16700, 16834, 16392, 16763, 21627, 16604, 16443, 16442, 16442, 16415, 16417, 16401, 16402, 16396, 16450, 34139, 16396, 16400, 16401, 16396, 16399, 16399, 16400, 16407, 16404, 16444, 16443, 16444, 16397, 28106, 16395, 17014, 16647, 17142, 22658, 16958, 19739, 16395, 16728, 16763, 28056, 16721, 16647, 30981, 16673, 44917, 19634, 16427, 18138, 16709, 16647, 16719, 22312, 16763, 17476, 16397, 16582, 16582, 35539, 17202, 18469, 16641, 17009, 19474, 20472, 16790, 25711, 16401, 16418, 16471, 16763, 21270, 16715, 36046, 16417, 16398, 43134, 16719, 22312, 30981, 16410, 18138, 16709, 16641, 22765, 16673, 16604, 16401, 16399, 24507, 16674, 26524, 16671, 39438, 35265, 16815, 40502, 23054, 24588, 23375, 16395, 16728, 16704, 22546, 16709, 16647, 57967, 18794, 20208, 16674, 18744, 36803, 16647, 18466, 16673, 26086, 16796, 25306, 16395, 38287, 17073, 51629, 16671, 16687, 29962, 32200, 16672, 19001, 18502, 16673, 44917, 19634, 16427, 19140, 16604, 16443, 16442, 16442, 16415, 16417, 16401, 16403, 16396, 16450, 34139, 16396, 16400, 16401, 16396, 16399, 16399, 16400, 16407, 16404, 16444, 16395, 16442, 16415, 16417, 16401, 16404, 16396, 16450, 34139, 16396, 16400, 16401, 16396, 16399, 16399, 16400, 16407, 16404, 16444, 16395, 16442, 16415, 16417, 16401, 16405, 16396, 16450, 34139, 16396, 16400, 16401, 16396, 16399, 16399, 16400, 16407, 16404, 16444, 16395, 16442, 16415, 16417, 16401, 16406, 16396, 16450, 34139, 16396, 16400, 16401, 16396, 16399, 16399, 16400, 16407, 16404, 16444, 16443, 16444, 16397, 16582, 16582, 17071, 16647, 20409, 16673, 16796, 25306, 16395, 16641, 21439, 18147, 17585, 19193, 44511, 17586, 23540, 16815, 20825, 20338, 20980, 28830, 16673, 16604, 16407, 16406, 16402, 17476, 20286, 16673, 57934, 16395, 17789, 44917, 19634, 16427, 16395, 16734, 16647, 20380, 16673, 23933, 20681, 16914, 22833, 63134, 24319, 16604, 16443, 16442, 16442, 16415, 16417, 16401, 16407, 16396, 16450, 34139, 16396, 16400, 16401, 16396, 16399, 16399, 16400, 16407, 16404, 16444, 16443, 16444, 16397, 24591, 16811, 19474, 16395, 16647, 33998, 25402, 16721, 16647, 29703, 16838, 49183, 18256, 16673, 16738, 16396, 18933, 31136, 29193, 25438, 16922, 16672, 16641, 49690, 16673, 20825, 19619, 17032, 16673, 20869, 28344, 22833, 33293, 16395, 16674, 16672, 16944, 17155, 22450, 23294, 16641, 17476, 57934, 16674, 18403, 19140, 16604, 16443, 16442, 16442, 16415, 16417, 16401, 16407, 16396, 16450, 34139, 16396, 16400, 16401, 16396, 16399, 16399, 16400, 16407, 16404, 16444, 16443, 16444, 16397, 16773, 60433, 16709, 44917, 19634, 16427, 16395, 16641, 18502, 16673, 20609, 25186, 16796, 25306, 16715, 17568, 20681, 18873, 16409, 21968, 16456, 17605, 16813, 16397, 17242, 16451, 52681, 19140, 17065, 17567, 19318, 16721, 16958, 21766, 16672, 49106, 50485, 16395, 16738, 16396, 18933, 32174, 16398, 17491, 16459, 22629, 16725, 16395, 16674, 19037, 19208, 16604, 16443, 16442, 16442, 16415, 16417, 16401, 16408, 16396, 16450, 34139, 16396, 16400, 16401, 16396, 16399, 16399, 16400, 16407, 16404, 16444, 16443, 16444, 16410, 45267, 16449, 19574, 16646, 17605, 16813, 16397, 27894, 16738, 19487, 16815, 44465, 27527, 19952, 16674, 21766, 16738, 16396, 18933, 16396, 41792, 23273, 40605, 16604, 16391, 16417, 20138, 16434, 16392, 16395, 39597, 16715, 17492, 16667, 24426, 16734, 27732, 23806, 16604, 16443, 16442, 16442, 16415, 16417, 16402, 16399, 16396, 16450, 34139, 16396, 16400, 16401, 16396, 16399, 16399, 16400, 16407, 16404, 16444, 16443, 16444, 16397, 20735, 23267, 19095, 21882, 16914, 20849, 26666, 16796, 25306, 16672, 16647, 18077, 16673, 16647, 20338, 42150, 16673, 57934, 19487, 16604, 16443, 16442, 16442, 16415, 16417, 16402, 16400, 16396, 16450, 34139, 16396, 16400, 16401, 16396, 16399, 16399, 16400, 16407, 16404, 16444, 16395, 16442, 16415, 16417, 16402 ]
[ 0, 36300, 16582, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16582, 16582, 16853, 33645, 16673, 18383, 16604, 16401, 26600, 26079, 24596, 17030, 16647, 18074, 17567, 22231, 16397, 18523, 17073, 27422, 16704, 16804, 18826, 30165, 19879, 25956, 16409, 29494, 16674, 27572, 39741, 19294, 18019, 18846, 33645, 17032, 16914, 17975, 16396, 17784, 43897, 38384, 16604, 16443, 16442, 16442, 16415, 16417, 16400, 16444, 16443, 16444, 16674, 16769, 16767, 18846, 18813, 16673, 21625, 26600, 16396, 21670, 32126, 17274, 16741, 57761, 16395, 33212, 20474, 16395, 16785, 24951, 16395, 51120, 17490, 18950, 16673, 17417, 16674, 30174, 20627, 16604, 16443, 16442, 16442, 16415, 16417, 16401, 16444, 16395, 16442, 16415, 16417, 16402, 16444, 16443, 16444, 16397, 16582, 16582, 37231, 16396, 39653, 16395, 21365, 16741, 16647, 20475, 16390, 16466, 19629, 16671, 22335, 16804, 17097, 16647, 22665, 35040, 16671, 16641, 25917, 20249, 16850, 17027, 17073, 19165, 16674, 19970, 26555, 19029, 16604, 16443, 16442, 16442, 16415, 16417, 16403, 16444, 16443, 16444, 16395, 16872, 18222, 24280, 17889, 16672, 16647, 19165, 16673, 18383, 16604, 16401, 26600, 16604, 16443, 16442, 16442, 16415, 16417, 16404, 16444, 16395, 16442, 16415, 16417, 16405, 16444, 16443, 16444, 16397, 18523, 16395, 17172, 29258, 26600, 18171, 16396, 39653, 16604, 16391, 22569, 16428, 16392, 17123, 18616, 28387, 26555, 19029, 16671, 18295, 35057, 16395, 30807, 17961, 16641, 21374, 22888, 16395, 44305, 16395, 16785, 32714, 24571, 16395, 16804, 16858, 16647, 18873, 16769, 17914, 16671, 23296, 17482, 16647, 18171, 16396, 39653, 19984, 22292, 16734, 16914, 23819, 23816, 16785, 30209, 16809, 21903, 25921, 16397, 23049, 17127, 16674, 27572, 39741, 16769, 17827, 18715, 16671, 24708, 16672, 16759, 28082, 31585, 17032, 16977, 19971, 19318, 16395, 16944, 29584, 24631, 21852, 60699, 16672, 17730, 25178, 16604, 16443, 16442, 16442, 16415, 16417, 16406, 16444, 16443, 16444, 16397, 19214, 16673, 16647, 30858, 25292, 16809, 17213, 19318, 16715, 30808, 16667, 29258, 16759, 28082, 16769, 19359, 16671, 24319, 16673, 16647, 19318, 16604, 16391, 28124, 16741, 17730, 37225, 16785, 17730, 26915, 16392, 16674, 17027, 16673, 16647, 23819, 17434, 16604, 16391, 18596, 16697, 41153, 16673, 47107, 25628, 17624, 16392, 16604, 16443, 16442, 16442, 16415, 16417, 16407, 16444, 16395, 16442, 16415, 16417, 16408, 16444, 16443, 16444, 16397, 16582, 16582, 32523, 18603, 19831, 16807, 29998, 16647, 17717, 16673, 16759, 28082, 23603, 19784, 16709, 16647, 18723, 19971, 16604, 16443, 16442, 16442, 16415, 16417, 16405, 16444, 16395, 16442, 16415, 16417, 16400, 16399, 16444, 16396, 16442, 16415, 16417, 16400, 16406, 16444, 16443, 16444, 16397, 22830, 19831, 16807, 20916, 16721, 16759, 28082, 23603, 19784, 16843, 19077, 29921, 16718, 25204, 18123, 16604, 16443, 16442, 16442, 16415, 16417, 16400, 16400, 16444, 16396, 16442, 16415, 16417, 16400, 16405, 16444, 16443, 16444, 16395, 16674, 21766, 16647, 18474, 24319, 16715, 25031, 29921, 16718, 25204, 18123, 16395, 17789, 18492, 16396, 16928, 16396, 18549, 22667, 16395, 21641, 20625, 18138, 16709, 29166, 17627, 19448, 16661, 16604, 16443, 16442, 16442, 16415, 16417, 16400, 16400, 16444, 16443, 16444, 16395, 16674, 18846, 19047, 17005, 17415, 33564, 16674, 46050, 16604, 16443, 16442, 16442, 16415, 16417, 16400, 16405, 16444, 16443, 16444, 16397, 16711, 21677, 17679, 16673, 19831, 16807, 28112, 16647, 19591, 16673, 16647, 17717, 16673, 17213, 19784, 16709, 29494, 16398, 64515, 39741, 16604, 16443, 16442, 16442, 16415, 16417, 16400, 16407, 16444, 16396, 16442, 16415, 16417, 16401, 16399, 16444, 16443, 16444, 16397, 22494, 16917, 18077, 16604, 16443, 16442, 16442, 16415, 16417, 16400, 16407, 16444, 16443, 16444, 28152, 16914, 19032, 16709, 29921, 16718, 25204, 18123, 16395, 40057, 16641, 23789, 16709, 29921, 16450, 16895, 28215, 55786, 16673, 16604, 16399, 16397, 16402, 16401, 16388, 16397, 17664, 16958, 18919, 16991, 28334, 26592, 16721, 18077, 16395, 16741, 16991, 16673, 16647, 19618, 32858, 22722, 23603, 19784, 16734, 16977, 20286, 16673, 18950, 24206, 23575, 16395, 18065, 16728, 18882, 16671, 16952, 16682, 22780, 16647, 18403, 17717, 16673, 16647, 23603, 22539, 16397, 19253, 28609, 16395, 17028, 18722, 30501, 16396, 18326, 18324, 18077, 16872, 21766, 16647, 18474, 18545, 24319, 16673, 20426, 23603, 19784, 26613, 16671, 29494, 16398, 64515, 28597, 19318, 16397, 17170, 23294, 16641, 28387, 24721, 16672, 16647, 23824, 16395, 16741, 19784, 16715, 29494, 16398, 64515, 28597, 19318, 17208, 16807, 17476, 22539, 16815, 17310, 30634, 16977, 19971, 19318, 16395, 30807, 29795, 16647, 22122, 19931, 20170, 23374, 22701, 16817, 19970, 16734, 17492, 17585, 16397, 23466, 16728, 16704, 16804, 23655, 16671, 22921, 16721, 16647, 17396, 18383, 16673, 20426, 17632, 16868, 16703, 25987, 20426, 17014, 21627, 16671, 29494, 16398, 64515, 28597, 19318, 16397, 27903, 16395, 16672, 16647, 18074, 17202, 18295, 21903, 26364, 37120, 16647, 19032, 16673, 23603, 19784, 16671, 19077, 26600, 18171, 16396, 39653, 16709, 29494, 16398, 64515, 39741, 16807, 16992, 19807, 16395, 18065, 17178, 18230, 16641, 16922, 23435, 18603, 16674, 19335, 16673, 16647, 18125, 19591, 21370, 16647, 29151, 16673, 17213, 32858, 16397, 16582, 16582, 17071, 16811, 16985, 16742, 47454, 28112, 16759, 28082, 23603, 32858, 22365, 26613, 16671, 29494, 16398, 64515, 28597, 19318, 16397, 17119, 23954, 16647, 24319, 16674, 20079, 16673, 16647, 32858, 16395, 16674, 28060, 16914, 19032, 16709, 26600, 19461, 16395, 18171, 16396, 39653, 31585, 16395, 16674, 21903, 25178, 16397, 42455, 17586, 16958, 18125, 16395, 16742, 20888, 30501, 16396, 48623, 63182, 16671, 27768, 16647, 18187, 16674, 17301, 16396, 20524, 19938, 16673, 16647, 32858, 16395, 16674, 30501, 16396, 18326, 58181, 16671, 21986, 18545, 24319, 16673, 16647, 32858, 19970, 16734, 17607, 18466, 16397, 16582, 16582, 41751, 16582, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16582, 16582, 16853, 18603, 16674, 17073, 24218, 16958, 23120, 16395, 22546, 16395, 16674, 19074, 18745, 16671, 16647, 63986, 45605, 47260, 16715, 19750, 17957, 31623, 16674, 49915, 16396, 50132, 63182, 16604, 16391, 20714, 18629, 21423, 16392, 25921, 16604, 16443, 16442, 16442, 16415, 16417, 16401, 16400, 16444, 16443, 16444, 16397, 16582, 16582, 19862, 21331, 16674, 36478, 16582, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16582, 16582, 16416, 24632, 21554, 19514, 21084, 16763, 20140, 16715, 18426, 17583, 17181, 16830, 31177, 16604, 16391, 33604, 17806, 18418, 25688, 19246, 16674, 47485, 16392, 16674, 17177, 31336, 16674, 25388, 16672, 16799, 28673, 28201, 16674, 16719, 47962, 26024, 16604, 16391, 24953, 21084, 18125, 16672, 34594, 19471, 16604, 16442, 16400, 16444, 16391, 16386, 16434, 16400, 16392, 16474, 18452, 16396, 18926, 16412, 16385, 25567, 28783, 16396, 42287, 16385, 16476, 16409, 23984, 16702, 16400, 16392, 16397, 33107, 23824, 16674, 19642, 22724, 16958, 35753, 16672, 29118, 16922, 47494, 23040, 21331, 16604, 16391, 37208, 19471, 16604, 16442, 16401, 16444, 16391, 16386, 16434, 16401, 16392, 16474, 18452, 16396, 18926, 16412, 16385, 25567, 28783, 16396, 42287, 16385, 16476, 16409, 23984, 16702, 16401, 16392, 16397, 16772, 19514, 16763, 16804, 30014, 16809, 19762, 16785, 25425, 19346, 16397, 17544, 16858, 16647, 27858, 21578, 16671, 16703, 19618, 16672, 16647, 18603, 16395, 40472, 16674, 19035, 51495, 36478, 16958, 20888, 16672, 20259, 16424, 22183, 16673, 36504, 16397, 17958, 36478, 16958, 22546, 16672, 19191, 16604, 16401, 16399, 16400, 16401, 16397, 16711, 47494, 31256, 23355, 16763, 19438, 17655, 23138, 26199, 18126, 16405, 16395, 16674, 17405, 16671, 20022, 16674, 22335, 16647, 44785, 27858, 16397, 16582, 16582, 42888, 22525, 16582, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16582, 16582, 17507, 19618, 19831, 37600, 16647, 29151, 16673, 16759, 28082, 23603, 19784, 26613, 16671, 29494, 16398, 64515, 28597, 19318, 16734, 18383, 16604, 16401, 26600, 16397, 17119, 17097, 19618, 17310, 19831, 16672, 16944, 16767, 17965, 16604, 16408, 16399, 16388, 16673, 16647, 22381, 54134, 16665, 16671, 16641, 29494, 16398, 64515, 28597, 17585, 19570, 16671, 16703, 16767, 16641, 18846, 18813, 16715, 26600, 32126, 17032, 16647, 20987, 19971, 17585, 16397, 23049, 17127, 16398, 64515, 28597, 17585, 16763, 21365, 16741, 16641, 19971, 17585, 16734, 16641, 20173, 16785, 46580, 17476, 16815, 16721, 16673, 16647, 20987, 19971, 17585, 16673, 16647, 19037, 18034, 16397, 42267, 16767, 18846, 18813, 16673, 26600, 32126, 16958, 21766, 18138, 16709, 18125, 23824, 16397, 20619, 27587, 16955, 16671, 16703, 29890, 23603, 16395, 17714, 17789, 16998, 16977, 22825, 17274, 16907, 19144, 35667, 16395, 20250, 22503, 19091, 16785, 17843, 19083, 16397, 16875, 17970, 16671, 19825, 18230, 37509, 17415, 19784, 21996, 16891, 16672, 17238, 56484, 24157, 16395, 16734, 17238, 17476, 17730, 19258, 16674, 19971, 18467, 16395, 16742, 30014, 16811, 18603, 16671, 17310, 32858, 22546, 16672, 19328, 16721, 16958, 18319, 16673, 16647, 58247, 16604, 16443, 16442, 16442, 16415, 16417, 16401, 16401, 16444, 16443, 16444, 16395, 17014, 18077, 22525, 16763, 22546, 16604, 16391, 31460, 16604, 16401, 16399, 16400, 16401, 16392, 16397, 16582, 16582, 16420, 20490, 17268, 26502, 16958, 42983, 24389, 26364, 16604, 16391, 16433, 20091, 16466, 16392, 16395, 17789, 28518, 42983, 24389, 26364, 16410, 24389, 26364, 16395, 17789, 41415, 16396, 32849, 17521, 26364, 16410, 24389, 17329, 16396, 24601, 19831, 16410, 16674, 17975, 16396, 35988, 17329, 16396, 24601, 19831, 16397, 24792, 17789, 16641, 18123, 17585, 16958, 17097, 25983, 16672, 17843, 16647, 26536, 16763, 19739, 16734, 17534, 16741, 23299, 16397, 16582, 16582, 16435, 44998, 16674, 28602, 16466, 16958, 45203, 16715, 38085, 16395, 16674, 17310, 40748, 16647, 30080, 25145, 16958, 19618, 16672, 16647, 17718, 20041, 16395, 17187, 16647, 17769, 30244, 16673, 16647, 21578, 22724, 16958, 44785, 16674, 29998, 16397, 22830, 16721, 17820, 16647, 30080, 25145, 16958, 19618, 16715, 17586, 35761, 16397, 21821, 48934, 31525, 45203, 55607, 16395, 16674, 16998, 35990, 19894, 16958, 32214, 16809, 26954, 16734, 16641, 18848, 51511, 16397, 16582, 16582, 19862, 35761, 16674, 18950, 23405, 16582, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16582, 16582, 17507, 20087, 16674, 17405, 34436, 21497, 16671, 24303, 17624, 16673, 32858, 16390, 24319, 16674, 16914, 29151, 16397, 17119, 17405, 16641, 21216, 20140, 18439, 32286, 16673, 16759, 28082, 23603, 19784, 16671, 47132, 16647, 32858, 16604, 16443, 16442, 16442, 16415, 16417, 16401, 16402, 16444, 16443, 16444, 16397, 16772, 18211, 17624, 16763, 35265, 16409, 20989, 16395, 27572, 17585, 16395, 21419, 36393, 16395, 21641, 20625, 16395, 23603, 28565, 16395, 37201, 16390, 21515, 16395, 17231, 16673, 29240, 37201, 16395, 16674, 27329, 16397, 22698, 16673, 32858, 16390, 17985, 16674, 17985, 16396, 27066, 22607, 16763, 17027, 35265, 16397, 16582, 16582, 17507, 35851, 16984, 61918, 16647, 19831, 17655, 16647, 30912, 34764, 38303, 16715, 35900, 26028, 24792, 16604, 16443, 16442, 16442, 16415, 16417, 16401, 16403, 16444, 16443, 16444, 16395, 16944, 28434, 16647, 23405, 16673, 17490, 22207, 16674, 23703, 36669, 16395, 17568, 20681, 17007, 17065, 17567, 25796, 16604, 16391, 26331, 16395, 19496, 16785, 20154, 16392, 23451, 16709, 18817, 22797, 16409, 22525, 28338, 16395, 18077, 17802, 16395, 17588, 16889, 16756, 16395, 17364, 21472, 16395, 17586, 20555, 16674, 26263, 17229, 16398, 21199, 22790, 16397, 21821, 48934, 31525, 35265, 16858, 16647, 17624, 16674, 35851, 16984, 61918, 16647, 19831, 16397, 19203, 16750, 16644, 19894, 16958, 32214, 17181, 18041, 16734, 16641, 18848, 51511, 16397, 18196, 19865, 16742, 32239, 16647, 22900, 16673, 16647, 19831, 16671, 19181, 19642, 17624, 16397, 16582, 16582, 19862, 33319, 16674, 19335, 16582, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16582, 16582, 16853, 29151, 16673, 16647, 32858, 16763, 29998, 16672, 19246, 16673, 16914, 19032, 16709, 16604, 16400, 16392, 26600, 19461, 16395, 16604, 16401, 16392, 26600, 18171, 16396, 39653, 20937, 16395, 16674, 16604, 16402, 16392, 21903, 25178, 16397, 43222, 19461, 16763, 46363, 16665, 16809, 22021, 35846, 16647, 30496, 19461, 16647, 18873, 16955, 16931, 16914, 20249, 16397, 43222, 18171, 16396, 39653, 20937, 23975, 16647, 18980, 16673, 18462, 19811, 19359, 16671, 29258, 16759, 28082, 16604, 16391, 16451, 18823, 16395, 22271, 16395, 32714, 18123, 16395, 18956, 18171, 16396, 41268, 18057, 16395, 19104, 16397, 16392, 16397, 31635, 25178, 19618, 28215, 55786, 16711, 16400, 16450, 16604, 16391, 16423, 16449, 16416, 16400, 16450, 16392, 16395, 18370, 19027, 21304, 16604, 16391, 26286, 16424, 16392, 16395, 16785, 19546, 20301, 16395, 28243, 18208, 16397, 17958, 25178, 16672, 16858, 16647, 19831, 16958, 28152, 16674, 30103, 16741, 30742, 16917, 16673, 17213, 17567, 35057, 16397, 33003, 19248, 16721, 23975, 16977, 35057, 16958, 16804, 19618, 16672, 16647, 19335, 16397, 16582, 16582, 42311, 16395, 16742, 22546, 21191, 30501, 16396, 48623, 63182, 16671, 30645, 18187, 16674, 17301, 16396, 20524, 16604, 16391, 37622, 18355, 17498, 16396, 19595, 20700, 16392, 17717, 16673, 16647, 32858, 16709, 29921, 16718, 25204, 18123, 16397, 60566, 18688, 25145, 16715, 16647, 30501, 16396, 48623, 63182, 19618, 42983, 24389, 26364, 30163, 16647, 32858, 16734, 23299, 17534, 16397, 16772, 17881, 16604, 16391, 36904, 39660, 16392, 16673, 16751, 16449, 16416, 16400, 16450, 19415, 16672, 17492, 18077, 16958, 35265, 16397, 17170, 17624, 16763, 31276, 17065, 42233, 17881, 19777, 16674, 16604, 16408, 16404, 16388, 22926, 35677, 16604, 16391, 35433, 16392, 16958, 25722, 16674, 22722, 17655, 21179, 16396, 56369, 20609, 16397, 17119, 17223, 19661, 16819, 47344, 19749, 57635, 16809, 17231, 16673, 20916, 20625, 16604, 16443, 16442, 16442, 16415 ]
[ 0, 16385, 16424, 17121, 16390, 16467, 17137, 16732, 16671, 17133, 16673, 16811, 16741, 16994, 16641, 18435, 16991, 17650, 16673, 40820, 41893, 16674, 26683, 63892, 17065, 31991, 16674, 23300, 16674, 20856, 16397, 16385, 16604, 16385, 19084, 16397, 16385, 16604, 16385, 36182, 16671, 16848, 16397, 16385, 16604, 16385, 17507, 16390, 16644, 17348, 16671, 17190, 16641, 30034, 16672, 16647, 24855, 16397, 16385, 16604, 16385, 54599, 16395, 17818, 17199, 16703, 17348, 16414, 16385, 16604, 16385, 17507, 16390, 16644, 21076, 16641, 19765, 17009, 29628, 16945, 16667, 21636, 16785, 16641, 30952, 16397, 16385, 16604, 16385, 18867, 16390, 16466, 17072, 16732, 16807, 16671, 17133, 16673, 16811, 16397, 16385, 16604, 16385, 17507, 16390, 16644, 16691, 29777, 16647, 18496, 16673, 18206, 17796, 16734, 17016, 16742, 16390, 16644, 18045, 16397, 16385, 16604, 16385, 26380, 16397, 16385, 16604, 16385, 21539, 16395, 30225, 16395, 16767, 16647, 18943, 16687, 16390, 16460, 16922, 24946, 16931, 18119, 18109, 16709, 16647, 27806, 16397, 16385, 16604, 16385, 18001, 17039, 17016, 16687, 17881, 16414, 16385, 16604, 16385, 47136, 16397, 16385, 16604, 16385, 51613, 16893, 16848, 16641, 17711, 16397, 16385, 16604, 16385, 32994, 16397, 16385, 16604, 16385, 21366, 16414, 16385, 16604, 16385, 55901, 16395, 18623, 16397, 16397, 16397, 16385, 16604, 16385, 21516, 16395, 18623, 19863, 27274, 23668, 16397, 16385, 16604, 16385, 24647, 16811, 16414, 16385, 16604, 16385, 31057, 16397, 16385, 16604, 16385, 26380, 16397, 16385, 16604, 16385, 26380, 16397, 16385, 16604, 16385, 16424, 17686, 29708, 17016, 16728, 17724, 16807, 16992, 16945, 16715, 23810, 16397, 16385, 16604, 16385, 16424, 17881, 16395, 18021, 17608, 16742, 16958, 19347, 16395, 18531, 16733, 18021, 17132, 16763, 23261, 17415, 16641, 21694, 18019, 16674, 16991, 19373, 16673, 49034, 17077, 16397, 16385, 16604, 16385, 24647, 16734, 16811, 20936, 16397, 16385, 16604, 16385, 17409, 16763, 32581, 16641, 24830, 16815, 16647, 17005, 41080, 17949, 21639, 38733, 16728, 16397, 16385, 16604, 16385, 24647, 16647, 17547, 16395, 16604, 16400, 16408, 16407, 16403, 16395, 16734, 16858, 16647, 17285, 16467, 28514, 17982, 32761, 16674, 16721, 16917, 19770, 26920, 16673, 44439, 17647, 16647, 23594, 21093, 26188, 16929, 21781, 18531, 16397, 16385, 16604, 16385, 21010, 16395, 16854, 16395, 16854, 16397, 16385, 16604, 16385, 23555, 19274, 16728, 16903, 16395, 19600, 16397, 16385, 16604, 16385, 18111, 16732, 17567, 16397, 16385, 16604, 16385, 18867, 16390, 16466, 17262, 16395, 16732, 16390, 16683, 17659, 16734, 16848, 16397, 16385, 16604, 16385, 16853, 17745, 16673, 16732, 18784, 16672, 16647, 17141, 16397, 16385, 16604, 16385, 16704, 16641, 16922, 21197, 24849, 17032, 16998, 30730, 16785, 23985, 16709, 21827, 16397, 16385, 16604, 16385, 17507, 16769, 16917, 17047, 16734, 16917, 16868, 16397, 16385, 16604, 16385, 19494, 28050, 16397, 16385, 16604, 16385, 19494, 19225, 16397, 16385, 16604, 16385, 20965, 26981, 19265, 17966, 19172, 16671, 18554, 16674, 16742, 16868, 45474, 17007, 16734, 16914, 17304, 29535, 16397, 16385, 16604, 16385, 17507, 19265, 51797, 16397, 16385, 16604, 16385, 18111, 17177, 16604, 16400, 16402, 17202, 18242, 23810, 16872, 16671, 17760, 16903, 16709, 16721, 20041, 16672, 23448, 16397, 16385, 16604, 16385, 19891, 16395, 16721, 16763, 16397, 16397, 16397, 16385, 16604, 16385, 18867, 16763, 22810, 16397, 16385, 16604, 16385, 16853, 22623, 16673, 21667, 17415, 16907, 16704, 17030, 16397, 16385, 16604, 16385, 23754, 16732, 16395, 20498, 16397, 16385, 16604, 16385, 23754, 16732, 16715, 22303, 16734, 16907, 16397, 16385, 16604, 16385, 16853, 17394, 16390, 16466, 16641, 17607, 17617, 17172, 16673, 16728, 16397, 16385, 16604, 16385, 35513, 16704, 21848, 33894, 21872, 16397, 16385, 16604, 16385, 18001, 16843, 16390, 16467, 19956, 17007, 16397, 16385, 16604, 16385, 16424, 17039, 16397, 16385, 16604, 16385, 16424, 22074, 16721, 16811, 18541, 17123, 16703, 36291, 16671, 16991, 16673, 16732, 16397, 16385, 16604, 16385, 16424, 17881, 16395, 23810, 19699, 16671, 20498, 36779, 16929, 16390, 16466, 34581, 17285, 16945, 16733, 16390, 16466, 21093, 26188, 16395, 16674, 16733, 16763, 16397, 16385, 16604, 16385, 18264, 17202, 16395, 23810, 18546, 18167, 22706, 17030, 17016, 20498, 16763, 18045, 16671, 17107, 16674, 17178, 16733, 16390, 16466, 16903, 16986, 16709, 16721, 20041, 16395, 16672, 18801, 16673, 16647, 17394, 21922, 25014, 16733, 16390, 16466, 32581, 16647, 22872, 36280, 16397, 16385, 16604, 16385, 16424, 17881, 16395, 17072, 16829, 16732, 16969, 16815, 16986, 16671, 17348, 16414, 16385, 16604, 16385, 18377, 16763, 16641, 49862, 16709, 16647, 23615, 16673, 16647, 18059, 16673, 20058, 16767, 35827, 16397, 16385, 16604, 16385, 16853, 24657, 31037, 23615, 19074, 16641, 17785, 16396, 24609, 41393, 16741, 17204, 16397, 16385, 16604, 16385, 16772, 59507, 17031, 16873, 16958, 16397, 16397, 16397, 16385, 16604, 16385, 19253, 17032, 16604, 16403, 16399, 16399, 18095, 16807, 18711, 17015, 16672, 16647, 34813, 16397, 16385, 16604, 16385, 17071, 16647, 19571, 16395, 19117, 19361, 33422, 29812, 16396, 33142, 43161, 18891, 16671, 18717, 16903, 16647, 22213, 16397, 16385, 16604, 16385, 42078, 19224, 16769, 33941, 16671, 18053, 16734, 22431, 20968, 16671, 21398, 16914, 21855, 16709, 27184, 16397, 16385, 16604, 16385, 17887, 16647, 21797, 16769, 16742, 18045, 17348, 16414, 16385, 16604, 16385, 19412, 16390, 16466, 16969, 16891, 16673, 17348, 16397, 16385, 16604, 16385, 42678, 17141, 16397, 16385, 16604, 16385, 39374, 16728, 16397, 16385, 16604, 16385, 39374, 16728, 16986, 16397, 16385, 16604, 16385, 19801, 17141, 16397, 16385, 16604, 16385, 18855, 16390, 16467, 21199, 16647, 19855, 16384, 16385, 16604, 16385, 16687, 16390, 16460, 16804, 16384, 16385, 16604, 16385, 30572, 16709, 16397, 16385, 16604, 16385, 18001, 23740, 16414, 16385, 16604, 16385, 27943, 20002, 17133, 16873, 16390, 16644, 24623, 19554, 16397, 16385, 16604, 16385, 17513, 16390, 16644, 16804, 16397, 16385, 16604, 16385, 17507, 16769, 16397, 16385, 16604, 16385, 17119, 16769, 16414, 16385, 16604, 16385, 18001, 17039, 16395, 23810, 16763, 17579, 16945, 16732, 16785, 16848, 16397, 16385, 16604, 16385, 17611, 17686, 18831, 17578, 27577, 16397, 16385, 16604, 16385, 23744, 17177, 17014, 16687, 16763, 16672, 35827, 16687, 16390, 16451, 17134, 17536, 16674, 16994, 17134, 25120, 40332, 20324, 16785, 24444, 28455, 17437, 16733, 16390, 16451, 17134, 43658, 16785, 16647, 20285, 16673, 16647, 24855, 16397, 16385, 16604, 16385, 35697, 16674, 16687, 17494, 16811, 22810, 19475, 16929, 16763, 16641, 21717, 17473, 35827, 16858, 17172, 16733, 17494, 16641, 17210, 16671, 21116, 16647, 17434, 16397, 16385, 16604, 16385, 17635, 19475, 16763, 18047, 27912, 21788, 18572, 17172, 16733, 27290, 16891, 16811, 17687, 38717, 16721, 16732, 17494, 16672, 27696, 16673, 20874, 16390, 16461, 21788, 18572, 51889, 16955, 16647, 17396, 43343, 16741, 61776, 16390, 16466, 17301, 16396, 42281, 21131, 16397, 16385, 16604, 16385, 18473, 16732, 17497, 17953, 19592, 21065, 23308, 16672, 16647, 17394, 16734, 16811, 17792, 16687, 19789, 18047, 16647, 20939, 19855, 16397, 16385, 16604, 16385, 18111, 17177, 16742, 23679, 16728, 16891, 16809, 21712, 16647, 48133, 16397, 16385, 16604, 16385, 17332, 17966, 16671, 17107, 16397, 16385, 16604, 16385, 17933, 16395, 17028, 16395, 17028, 16397, 16385, 16604, 16385, 19537, 16390, 16644, 21791, 16732, 17181, 16671, 16647, 48133, 16414, 16385, 16604, 16385, 16424, 22145, 27290, 16728, 16891, 16395, 16947, 16397, 16385, 16604, 16385, 16424, 27290, 16728, 16891, 16397, 16385, 16604, 16385, 16424, 17039, 17016, 16728, 16390, 16466, 16931, 16397, 16385, 16604, 16385, 18001, 17039, 17016, 16728, 16390, 16466, 16931, 16414, 16385, 16604, 16385, 17409, 16390, 16466, 16931, 17803, 16397, 16385, 16604, 16385, 26380, 16709, 16395, 16947, 16397, 16385, 16604, 16385, 17409, 16390, 16466, 16945, 17310, 22810, 19328, 17187, 16647, 23985, 20002, 53968, 16647, 19279, 16397, 16385, 16604, 16385, 16853, 17092, 17792, 16721, 16873, 17391, 17030, 16769, 16647, 19223, 17047, 26610, 16395, 16732, 17039, 16395, 21557, 16395, 19660, 16395, 32332, 16397, 16385, 16604, 16385, 34083, 16396, 16833, 16395, 16947, 16397, 16385, 16604, 16385, 35411, 16704, 17803, 16397, 16385, 16604, 16385, 16424, 20589, 18843, 16647, 27696, 16395, 16674, 23810, 20589, 22502, 17007, 18015, 16917, 17386, 16395, 16742, 18546, 17497, 57367, 16809, 16991, 33076, 16929, 16395, 20677, 18056, 16395, 17727, 16390, 16467, 17199, 17039, 17016, 16641, 20939, 19855, 16763, 16397, 16385, 16604, 16385, 18001, 17699, 28630, 17590, 16641, 61767, 16395, 22789, 16397, 16385, 16604, 16385, 18473, 16687, 18358, 18387, 16671, 17799, 17536, 16721, 18833, 16390, 16467, 21848, 16969, 16907, 16672, 22736, 16397, 16385, 16604, 16385, 17673, 16390, 16466, 16804, 16641, 20939, 19855, 16397, 16385, 16604, 16385, 16999, 16390, 16466, 16641, 20117, 16397, 16385, 16604, 16385, 16438, 23616, 16395, 16742, 17109, 20939, 27696, 16395, 16804, 27085, 16397, 16385, 16604, 16385, 16687, 17497, 16641, 29477, 16815, 41795, 19221, 18767, 16397, 16385, 16604, 16385, 17887, 16715, 16414, 16385, 16604, 16385, 18971, 18176, 17211, 28012, 16395, 18151, 17007, 16687, 16763, 18843, 16641, 20117, 16395, 16674, 16873, 28630, 16829, 16641, 17971, 16397, 16385, 16604, 16385, 16438, 23616, 16395, 17882, 16848, 16641, 18717, 16397, 16385, 16604, 16385, 27064, 16395, 17723, 16848, 17704, 16732, 17536, 16395, 22993, 16397, 16385, 16604, 16385, 24067, 16767, 16848, 16397, 16385, 16604, 16385, 19930, 16732, 28630, 16969, 23982, 17348, 16647, 17745, 16673, 16912, 17417, 16672, 16811, 21797, 32047, 16414, 16385, 16604, 16385, 24067, 16395, 16811, 16704, 17187, 16687, 22517, 16903, 16395, 23740, 16414, 16385, 16604, 16385, 17409, 16390, 16466, 16804, 16641, 21797, 32047, 16397, 16385, 16604, 16385, 18564, 18351, 16397, 16385, 16604, 16385, 16424, 17039, 16912, 25519, 16868, 17393, 23810, 16390, 16466, 20117, 28764, 16397, 16385, 16604, 16385, 17611, 16390, 16466, 16859, 44175, 17531, 16397, 16385, 16604, 16385, 17611, 19789, 16728, 16858, 16815, 30774, 20049, 16397, 16385, 16604, 16385, 51184, 16395, 16647, 29477, 16704, 16397, 16397, 16397, 16385, 16604, 16385, 28261, 16397, 16385, 16604, 16385, 17409, 22043, 18970, 16397, 16385, 16604, 16385, 18971, 17092, 19489, 16767, 33343, 16395, 16674, 16647, 20117, 40223, 18970, 16397, 16385, 16604, 16385, 31669, 16397, 16385, 16604, 16385, 18811, 16687, 16763, 17363, 16767, 35827, 16687, 20589, 18065, 22810, 23510, 53099, 16721, 16958, 22247, 16994, 32510, 16397, 16385, 16604, 16385, 18129, 16395, 32690, 16395, 16732, 17039, 16395, 32510, 16769, 17889, 16397, 16385, 16604, 16385, 16853, 18234, 17141, 17177, 16763, 16848, 16674, 23810, 16674, 16888, 27685, 16958, 18408, 17240, 23545, 16397, 16385, 16604, 16385, 18473, 16742, 20982, 16903, 18045, 16991, 18408, 22555, 17098, 17578, 16994, 16671, 17190, 18048, 16397, 16385, 16604, 16385, 16424, 17039, 17187, 16742, 16843, 16969, 16641, 17980, 16397, 16385, 16604, 16385, 36781, 16728, 16709, 16647, 61275, 19605, 16986, 16397, 16385, 16604, 16385, 17887, 17936, 16673, 17980, 16414, 16385, 16604, 16385, 16424, 17121, 16390, 16467, 17039, 16397, 16385, 16604, 16385, 17409, 18633, 19373, 16673, 16945, 17299, 17598, 16397, 16385, 16604, 16385, 16419, 29701, 16903, 16741, 31453, 16672, 63240, 16674, 19341, 16715, 16641, 23793, 16673, 19347, 16414, 16385, 16604, 16385, 18129, 16395, 16732, 17039, 16395, 23810, 18833, 16390, 16467, 20001, 18668, 16891, 16715, 16721, 19341, 16397, 16385, 16604, 16385, 26453, 16672, 16641, 18074, 17417, 16687, 16763, 16641, 30952, 16785, 16667, 21636, 16397, 16385, 16604, 16385, 18001, 17039, 16395, 19382, 16732, 17966, 16931, 18074, 19261, 16674, 16858, 16721, 19341, 17172, 16395, 17204, 16395, 16732, 17121, 16390, 16467, 17039, 16929, 16732, 16769, 16397, 16385, 16604, 16385, 18105, 16647, 21797, 16769, 16732, 19699, 16931, 16414, 16385, 16604, 16385, 16424, 17121, 16390, 16467, 17039, 16929, 16687, 17045, 16414, 16385, 16604, 16385, 21539, 16395, 16732, 17121, 16390, 16467, 16397, 16385, 16604, 16385, 16424, 17881, 16395, 16732, 18151, 16848, 16397, 16397, 16397, 16385, 16604, 16385, 16424, 17121, 16390, 16467, 28630, 17966, 16931, 16728, 16734, 16732, 16785, 18777, 18118, 16397, 16385, 16604, 16385, 16424, 16390, 16460, 16994, 18387, 16671, 17261, 16397, 16385, 16604, 16385, 17409, 18833, 16390, 16467, 16945, 23810, 16674, 16687, 19129, 20415, 16734, 17492, 16977, 16850, 16733, 16763, 20057, 16672, 20276, 16687, 18833, 16390, 16467, 16945, 16991, 16741, 19112, 16707, 16672, 19679, 16674, 17543, 16659, 16903, 16672, 27179, 17187, 16873, 22690, 41726, 16858, 17386, 16397, 16385, 16604, 16385, 17409, 16763, 18408, 17240, 16673, 16641, 21961, 16715, 23810, 16397, 16385, 16604, 16385, 16853, 17936, 16721, 16390, 16466, 16741, 17240, 16709, 16647, 19575, 16741, 16709, 16647, 19067, 16397, 16385, 16604, 16385, 16424, 17881, 16395, 16733, 20057, 17724, 16807, 16992, 16671, 22810, 20276, 16397, 16385, 16604, 16385, 23531, 16647, 17009, 21812, 26705, 16414, 16385, 16604, 16385, 30336, 19191, 16414, 16385, 16604, 16385, 27064, 16395, 16947, 16395, 21103, 19137, 16704, 17210, 17607, 16397, 16385, 16604, 16385, 23928, 23970, 16891, 16671, 17348, 16397, 16385, 16604, 16385, 33074, 16765, 16671, 18056, 16395, 25731, 17043, 16397, 16385, 16604, 16385, 18001, 16807, 17028, 19995, 16397, 16385, 16604, 16385, 26042, 16395, 17262, 16397, 16385, 16604, 16385, 24647, 16732, 16854, 17473, 19263, 54681, 16397, 16385, 16604, 16385, 18001, 16390, 16644, 16647, 17097, 19475, 16687, 17039, 16929, 17120, 17190, 30077, 16891, 16673, 21812, 33104, 16395, 16715, 18056, 16648, 17487, 16397, 16385, 16604, 16385, 24067, 16395, 16732, 17497, 18010, 16671, 17190, 16641, 22084, 16397, 16385, 16604, 16385, 18001, 17121, 16390, 16467, 16807, 16671, 22069, 16931, 17007, 20069, 17172, 16873, 16390, 16644, 23982, 18226, 16397, 16385, 16604, 16385, 20339, 16891, 16397, 16385, 16604, 16385, 17513, 16390, 16644, 16858, 23982, 18226, 16397, 16385, 16604, 16385, 24986, 17141, 17177, 16687, 17120, 16390, 16690, 26956, 17503, 17400, 20498, 36779, 16397, 16385, 16604, 16385, 16853, 19475, 17120, 17762, 16998, 18206, 19580, 17065, 16641, 41440, 17546, 16397, 16385, 16604, 16385, 18264, 17079, 16931, 21494, 16397, 16385, 16604, 16385, 16431, 26982, 16397, 16385 ]
[ 0, 16582, 16402, 16404, 16402, 16773, 16397, 23182, 16397, 16401, 16451, 16604, 16400, 16402, 16400, 16399, 16604, 16391, 16401, 16399, 16399, 16403, 16392, 16582, 16438, 18317, 21843, 16395, 16876, 16397, 16434, 16397, 16416, 16397, 16395, 46101, 16397, 16395, 17605, 16813, 16397, 16395, 48167, 16395, 16582, 16469, 16397, 16582, 21225, 44896, 42576, 18311, 16395, 56176, 16397, 16582, 26877, 20337, 23907, 16397, 16604, 16399, 16403, 16396, 16400, 16403, 16403, 16395, 19758, 17933, 16397, 16604, 16408, 16407, 16396, 16399, 16399, 16402, 16405, 16399, 16397, 16582, 32384, 18644, 19758, 16673, 19639, 26682, 16397, 16582, 31460, 16604, 16400, 16404, 16395, 16604, 16401, 16399, 16399, 16403, 16397, 16582, 16393, 16400, 16402, 16400, 16400, 16604, 16393, 16400, 16402, 16400, 16401, 16711, 16654, 19626, 22007, 22141, 25728, 16604, 16389, 16965, 19167, 16657, 16395, 45913, 16604, 16391, 52575, 16711, 16654, 19626, 16395, 28884, 16774, 22668, 41855, 16395, 16674, 22230, 16855, 17470, 20038, 39007, 16604, 16391, 20711, 16920, 16795, 16392, 16392, 16715, 16647, 48167, 16397, 16582, 65017, 19012, 40340, 45913, 16604, 16391, 52350, 16799, 16397, 35140, 16656, 16674, 18157, 16727, 16397, 40340, 16392, 16715, 16647, 18235, 36371, 21650, 47122, 16672, 17564, 16673, 16762, 16943, 16471, 16876, 16397, 16434, 16397, 16416, 16395, 19376, 16397, 16395, 17605, 16813, 16397, 16395, 20181, 17877, 16768, 23813, 16397, 16582, 33201, 16759, 16397, 20456, 16656, 17976, 16395, 29427, 27330, 20405, 16395, 31037, 16702, 16397, 23422, 16395, 27330, 16672, 50803, 16395, 19639, 26682, 25571, 21146, 16395, 30624, 16727, 16397, 63068, 16395, 40773, 27330, 16395, 33872, 55569, 35936, 16395, 24545, 24132, 16395, 16876, 16397, 16434, 16397, 19542, 16673, 23234, 16395, 16966, 16744, 21120, 16702, 61990, 16844, 16395, 27330, 16395, 21146, 16673, 29427, 22306, 34235, 16395, 16876, 16397, 16434, 16397, 44391, 16674, 36179, 27960, 16395, 16715, 56176, 16397, 16582, 16582, 19989, 17681, 19429, 16582, 16431, 23105, 25799, 16395, 27735, 16397, 16582, 17635, 17843, 25290, 16647, 18027, 20285, 16673, 16647, 17902, 16604, 16385, 55452, 20306, 16385, 16741, 17405, 16672, 17242, 54910, 16604, 16403, 16403, 16400, 16400, 16397, 16400, 16408, 16397, 16402, 16399, 16673, 16647, 64828, 17521, 30895, 18837, 38074, 16673, 16647, 18303, 18644, 16604, 16391, 16400, 16408, 16408, 16406, 16392, 16604, 16391, 16385, 16423, 21653, 18763, 16385, 16392, 16397, 41796, 26428, 16762, 16943, 16471, 16395, 16876, 16397, 16434, 16397, 16416, 16397, 16395, 19376, 16397, 16674, 43435, 17475, 38672, 16604, 16391, 16385, 16438, 16943, 16471, 16385, 16392, 20929, 16647, 18303, 18644, 44391, 21082, 16390, 16466, 16442, 16400, 16444, 16604, 16391, 16385, 30463, 16466, 16385, 16785, 16604, 16385, 41197, 16385, 16392, 23764, 16725, 16673, 17073, 39732, 20092, 60806, 29597, 16604, 16391, 16385, 17043, 16717, 16770, 17146, 16385, 16785, 16604, 16385, 44037, 19365, 29597, 16385, 16392, 16395, 28707, 16721, 16647, 41250, 17208, 16703, 23764, 16895, 16741, 16604, 16385, 55452, 20306, 16385, 17131, 26737, 16604, 16403, 16403, 16400, 16400, 16397, 16400, 16408, 16397, 16402, 16399, 16395, 16751, 21653, 18763, 16395, 16674, 20821, 24282, 17953, 16397, 16442, 16401, 16444, 16772, 21061, 16641, 17067, 16721, 16762, 16943, 16471, 16390, 16466, 17918, 16704, 16804, 16604, 16385, 55452, 20306, 16385, 16674, 20821, 17208, 16703, 30103, 17131, 16641, 24035, 25610, 16715, 28598, 20306, 16734, 16641, 24892, 20580, 17032, 16604, 16399, 16397, 16407, 16695, 16398, 22220, 16395, 16402, 16674, 16762, 16943, 16471, 16390, 16466, 41250, 17208, 16703, 29998, 16641, 24282, 16673, 16604, 16405, 16388, 16911, 17398, 28438, 16397, 21125, 17242, 54910, 16604, 16403, 16403, 16400, 16400, 16397, 16400, 16408, 16397, 16403, 16399, 16395, 16751, 21653, 18763, 16397, 24464, 16647, 19758, 16769, 19532, 43506, 16715, 25698, 25926, 33584, 16671, 42448, 18317, 29923, 16604, 16404, 16405, 16397, 16772, 19758, 16872, 26140, 31245, 17030, 16811, 17843, 16397, 21125, 16604, 16401, 16407, 16876, 16397, 16434, 16397, 16418, 16397, 16604, 25660, 16604, 16400, 16404, 16407, 16400, 16391, 16448, 16392, 16604, 16391, 16401, 16399, 16399, 16399, 16392, 16397, 40418, 18651, 18707, 16672, 29844, 16395, 16647, 19758, 45489, 17490, 43506, 16715, 25698, 25926, 16397, 16582, 16582, 16582, 16393, 16400, 16402, 16400, 16402, 53819, 26517, 35049, 16582, 16438, 16943, 16471, 16395, 16876, 16397, 16434, 16397, 16416, 16397, 16395, 19376, 16397, 16704, 16667, 17223, 21669, 16673, 39732, 20837, 29597, 16815, 17073, 18521, 16395, 16762, 16943, 16471, 49719, 16395, 16641, 21439, 23813, 16397, 17862, 16397, 16390, 16466, 19921, 16723, 16397, 32566, 16397, 16604, 16391, 16385, 55600, 16456, 16397, 16385, 16392, 16767, 23663, 16397, 16604, 16403, 16391, 16448, 16392, 16397, 43435, 17475, 38672, 16395, 19376, 16397, 16704, 16641, 16876, 16397, 16434, 16397, 17766, 16944, 17027, 37326, 39732, 20837, 29597, 16815, 16762, 16943, 16471, 16395, 49719, 16397, 17862, 16397, 16390, 16466, 19921, 16723, 16397, 32566, 16456, 16397, 16767, 23663, 16397, 16604, 16403, 16391, 16449, 16392, 16397, 17170, 17843, 25290, 16641, 22210, 16809, 16762, 16943, 16471, 16815, 16604, 16400, 16408, 16408, 16404, 26211, 16917, 21314, 16395, 16442, 16402, 16444, 16674, 17142, 29226, 16809, 43435, 17475, 38672, 16815, 16604, 16400, 16408, 16408, 16405, 26211, 19709, 29424, 16397, 16442, 16403, 16444, 16582, 27631, 16647, 21007, 16673, 42448, 18317, 29923, 16604, 16404, 16405, 16395, 16647, 21588, 16807, 22292, 16671, 17589, 21646, 23528, 16397, 16772, 29597, 16767, 18710, 19881, 16673, 16641, 28598, 20306, 21554, 16734, 16641, 24892, 16604, 16399, 16397, 16407, 16408, 16400, 16695, 16398, 22220, 16402, 16395, 21069, 16397, 16815, 25064, 21360, 16644, 38905, 16456, 16395, 43435, 17475, 38672, 16395, 16671, 22097, 16462, 29519, 16395, 43435, 17475, 38672, 16395, 16762, 16943, 16471, 28779, 20837, 32683, 16395, 17812, 16397, 16604, 16401, 16671, 17862, 16397, 16390, 16466, 21069, 16604, 16391, 32868, 16604, 16400, 16403, 16395, 16604, 16400, 16408, 16408, 16406, 16392, 16604, 16391, 16385, 19891, 64261, 21069, 16397, 16385, 16392, 16395, 20900, 16397, 16390, 16466, 34975, 34594, 29663, 41228, 16604, 16391, 16385, 21382, 16397, 16390, 16466, 34975, 16385, 16392, 16767, 23663, 16397, 16604, 16402, 16395, 16674, 16769, 30726, 16396, 16770, 16396, 30290, 28948, 18184, 16914, 30317, 16674, 22866, 16397, 16442, 16404, 16444, 20900, 16397, 16390, 16466, 28305, 16397, 17862, 16397, 16390, 16466, 34975, 29663, 41228, 16767, 23663, 16604, 16400, 16397, 16772, 38343, 16673, 16647, 29597, 16769, 45335, 16734, 23167, 27957, 16674, 35716, 36007, 16395, 43435, 17475, 21069, 16397, 16767, 16604, 16400, 16395, 20900, 16397, 16390, 16466, 34975, 16767, 23663, 16397, 16604, 16402, 16395, 16674, 16647, 29597, 17123, 16703, 17405, 16709, 35219, 16397, 16442, 16405, 16444, 17862, 16397, 16390, 16466, 21069, 16397, 16767, 16604, 16406, 23663, 16397, 16604, 16400, 16408, 16395, 20900, 16397, 16390, 16466, 34975, 16767, 23663, 16397, 16604, 16400, 16397, 16582, 16582, 22173, 27078, 31026, 21256, 23738, 16422, 22598, 43556, 16582, 16438, 16943, 16471, 33474, 16721, 17073, 60806, 29597, 16769, 16804, 28598, 20306, 19059, 16674, 20821, 19108, 16703, 30103, 17131, 26737, 16604, 16403, 16403, 16400, 16400, 16395, 16751, 21653, 18763, 16397, 19253, 22365, 16395, 16762, 16943, 16471, 33474, 16721, 28598, 20306, 16395, 16809, 23208, 16395, 16704, 20236, 16671, 55058, 19059, 16395, 25743, 17073, 41250, 16704, 21392, 16397, 17862, 16397, 16390, 16466, 21069, 16397, 16767, 16604, 16400, 16400, 16396, 16400, 16403, 16395, 17862, 16397, 16390, 16466, 28305, 16397, 16767, 16604, 16403, 16395, 17862, 16397, 16390, 16466, 31456, 16672, 21037, 16397, 16673, 22566, 16397, 16715, 21698, 16460, 16397, 16832, 16397, 16604, 16391, 16385, 19733, 16397, 16390, 16466, 31456, 16385, 16392, 16767, 16604, 16403, 16397, 37606, 16395, 16604, 16393, 16400, 16402, 16400, 16403, 16762, 16943, 16471, 26059, 16647, 19758, 16671, 18328, 16647, 24686, 17366, 16672, 16641, 33675, 17843, 16395, 16773, 23823, 19859, 16395, 19376, 16397, 16776, 16397, 18303, 18644, 16395, 32119, 17387, 16397, 16604, 16399, 16403, 16396, 16400, 16403, 16402, 16604, 16391, 16418, 18317, 21596, 16397, 16604, 16400, 16404, 16395, 16604, 16401, 16399, 16399, 16403, 16392, 16395, 16721, 16647, 60806, 29597, 16769, 23296, 30103, 17131, 26737, 16604, 16403, 16403, 16400, 16407, 16395, 16751, 21653, 18763, 16395, 26211, 16604, 16385, 16442, 16449, 16444, 19872, 16756, 16390, 21004, 17850, 16674, 51763, 27419, 16673, 21135, 16397, 16385, 17862, 16397, 16390, 16466, 21069, 16397, 16767, 16604, 16401, 16404, 16395, 17862, 16397, 16390, 16466, 28305, 16397, 16767, 16604, 16400, 16408, 16396, 16401, 16399, 16395, 17862, 16397, 16390, 16466, 31456, 16767, 16604, 16400, 16403, 16396, 16400, 16404, 16397, 16442, 16406, 16444, 16582, 17991, 16647, 41250, 16704, 23296, 30103, 16672, 26737, 16604, 16403, 16403, 16400, 16400, 16395, 16751, 21653, 18763, 16395, 16762, 16943, 16471, 21144, 16721, 16728, 17208, 16703, 30103, 17131, 17242, 54910, 16604, 16403, 16403, 16400, 16400, 16397, 16400, 16408, 16397, 16402, 16399, 16395, 16751, 21653, 18763, 16395, 16944, 24669, 16604, 16385, 16442, 16467, 16444, 16967, 20306, 16944, 16872, 16992, 32941, 19304, 18184, 16998, 16673, 17073, 30317, 16674, 16704, 22774, 16715, 17231, 16672, 16647, 20960, 16673, 24231, 16395, 61213, 16785, 16977, 20049, 16673, 23043, 16397, 16385, 17862, 16397, 16390, 16466, 21069, 16397, 16767, 16604, 16400, 16403, 16396, 16401, 16403, 16395, 17862, 16397, 16390, 16466, 28305, 16397, 16767, 16604, 16405, 16396, 16400, 16407, 16395, 17862, 16397, 16390, 16466, 31456, 16767, 16604, 16400, 16396, 16400, 16402, 16397, 16762, 16943, 16471, 35149, 16721, 44391, 16819, 16978, 16697, 30014, 16647, 25174, 16673, 17242, 54910, 16604, 16403, 16403, 16400, 16400, 16397, 16400, 16408, 16397, 16402, 16399, 16395, 16751, 21653, 18763, 16395, 16809, 29189, 16721, 16647, 29597, 16703, 17405, 16709, 24231, 16397, 17862, 16397, 16390, 16466, 21069, 16397, 16767, 16604, 16400, 16405, 16395, 17862, 16397, 16390, 16466, 28305, 16397, 16767, 16604, 16406, 16395, 17862, 16397, 16390, 16466, 31456, 16767, 16604, 16401, 16396, 16402, 16397, 16582, 16853, 21061, 33474, 16721, 16647, 41250, 16704, 17568, 34757, 17131, 26737, 16604, 16403, 16403, 16400, 16400, 16395, 16751, 21653, 18763, 16397, 16772, 21061, 55101, 16721, 16762, 16943, 16471, 36845, 16709, 16641, 20936, 23208, 16673, 28598, 20306, 17405, 16672, 18540, 16671, 17564, 17073, 45692, 16721, 28598, 20306, 16843, 17097, 16703, 55058, 16397, 20900, 16397, 16390, 16466, 21069, 16397, 16767, 16604, 16401, 16404, 16396, 16401, 16405, 16397, 17673, 20158, 20936, 23208, 16395, 16647, 21061, 63525, 16395, 16704, 36392, 16671, 16647, 30981, 16673, 19059, 17131, 16647, 16751, 21653, 18763, 16397, 22233, 16397, 16875, 33295, 16604, 16385, 55452, 20306, 16395, 16385, 16647, 21061, 18842, 16671, 16647, 31346, 18496, 16673, 16647, 16604, 16385, 55452, 20306, 16385, 25610, 16944, 19497, 16641, 20886, 16815, 16832, 16397, 16425, 16397, 56850, 18035, 16397, 16671, 16647, 26682, 24675, 26609, 21217, 22963, 16641, 25610, 16715, 17073, 37326, 16397, 20900, 16397, 16390, 16466, 21069, 16397, 16767, 16604, 16400, 16400, 16396, 16400, 16402, 16395, 16604, 16400, 16407, 16395, 16604, 16401, 16399, 16395, 20900, 16397, 16390, 16466, 31456, 16767, 16604, 16407, 16397, 21937, 16671, 16647, 21061, 16395, 16832, 16397, 16425, 16397, 56850, 18035, 16397, 16955, 16992, 59766, 17073, 16604, 16385, 55452, 20306, 16385, 17918, 24282, 17953, 17131, 16647, 30895, 18837, 38074, 16673, 16647, 18303, 18644, 16604, 16391, 16385, 21653, 18763, 16385, 16392, 16395, 16850, 16763, 23751, 16641, 16604, 16405, 16388, 16911, 17398, 28438, 24282, 16734, 16647, 23052, 16671, 16647, 16751, 21653, 18763, 16397, 20900, 16397, 16390, 16466, 21069, 16397, 16767, 16604, 16400, 16400, 16396, 16400, 16402, 16410, 17134, 17027, 17242, 54910, 16604, 16403, 16403, 16400, 16400, 16397, 16400, 16408, 16397, 16403, 16399, 16395, 16751, 21653, 18763, 16397, 23466, 16395, 16672, 17970, 16671, 20303, 16721, 16832, 16397, 16425, 16397, 56850, 16390, 16466, 16604, 16385, 55452, 20306, 16385, 37326, 17132, 16804, 18492, 16667, 19031, 16672, 24282, 16395, 16647, 16604, 16385, 55452, 20306, 16385, 25610, 16763, 18973, 16397, 22233, 16397, 17376, 16647, 21061, 33474, 16395, 17172, 16762, 16943, 16471, 16390, 16466, 41250, 16704, 16804, 18655, 16671, 16832, 16397, 16425, 16397, 56850, 16390, 16466, 16604, 16385, 55452, 20306, 16395, 16385, 16762, 16943, 16471, 16390, 16466, 41250, 19108, 16703, 19570, 16604, 16385, 55452, 20306, 16385, 17989, 16647, 20285, 16673, 17242, 54910, 16604, 16403, 16403, 16400, 16400, 16397, 16400, 16408, 16397, 16402, 16399, 16395, 16751, 21653, 18763, 16397, 22233, 16397, 16772, 21061, 18613, 33474, 16721, 18138, 16709, 16641, 37703, 23208, 16673, 16604, 16385, 55452, 20306, 16395, 16385, 20900, 16397, 16390, 16466, 21069, 16397, 16767, 16604, 16400, 16405, 16395, 16604, 16400, 16407, 16395, 19591, 16815, 18797, 19545, 16395, 20900, 16397, 16390, 16466, 21069, 16397, 16604, 16400, 16406, 16395, 16604, 16401, 16401, 16395, 20900, 16397, 16390, 16466, 31456, 16767, 16604, 16407, 16396, 16408, 16395, 16674, 16647, 21061, 16390, 16466, 21381, 22354, 16395, 20900, 16397, 16390, 16466, 21069, 16397, 16767, 16604, 16401, 16400, 16395, 16762, 16943, 16471, 16390, 16466, 29597, 16769, 16804, 16604, 16385, 55452, 20306, 16385, 17172, 16604, 16385, 55452, 20306, 16409, 16604, 16391, 16456, 16392, 16704, 16804, 39732, 20092, 16395, 16604, 16391, 19904, 16392, 16704, 19294, 18931, 17694, 16665, 16734, 16641, 20610, 16395, 16674, 16604, 16391, 33410, 16392, 16704, 45335, 16734, 16667, 18887, 32917, 16785, 16977, 16604, 16442, 51104, 16699, 16444, 22166, 16671, 46797, 46316, 41353, 16395, 16385, 20900, 16397, 16390, 16466, 21069, 16397, 16767, 16604, 16401, 16399, 16396, 16401, 16400, 16604, 16391, 22917, 28274, 17473, 16604, 16385, 51104, 16699, 16385, 16672, 19170, 16392, 16395, 16604, 16391, 16821, 16392, 16704, 17969, 16396, 44612, 16395, 20900, 16397, 16390, 16466, 21069, 16397, 16767, 16604, 16400, 16406, 16395, 16604, 16400, 16408, 16396, 16401, 16399, 16395, 16674, 16604, 16391, 16469 ]
[ 0, 16396, 16396, 16396, 16582, 38841, 16409, 16604, 16475, 16582, 16696, 17635, 19420, 16704, 22774, 16671, 16647, 18077, 16673, 16647, 24375, 17415, 59455, 19258, 16674, 16972, 18380, 16725, 20609, 16395, 16734, 21855, 19863, 16647, 18077, 16673, 31589, 29160, 20040, 23878, 21067, 16758, 16734, 17005, 16397, 65441, 16721, 16604, 16387, 16465, 16387, 16396, 53388, 16972, 18380, 16725, 25684, 16641, 37145, 18815, 17650, 17187, 45795, 16673, 16641, 21405, 16769, 30006, 18266, 16604, 16387, 16465, 16387, 29265, 16673, 16728, 16769, 30006, 16397, 17119, 18723, 17356, 16811, 16809, 32728, 16604, 16442, 16393, 16387, 16421, 16391, 16467, 16392, 16387, 16396, 53388, 16972, 18380, 16725, 16393, 16444, 16474, 16476, 16395, 16641, 17005, 16396, 32435, 17650, 17187, 16647, 17679, 16673, 47821, 45795, 16944, 17109, 16671, 16703, 30006, 16715, 16641, 20062, 16671, 16703, 33288, 16704, 21487, 16809, 16641, 16972, 18380, 16725, 17917, 16604, 16387, 16421, 16391, 16467, 16392, 16387, 16767, 17492, 17005, 16604, 16387, 16467, 16387, 16397, 18916, 26144, 16991, 16673, 16647, 20873, 21454, 16673, 16647, 18528, 16395, 16742, 18328, 32496, 16972, 18380, 17160, 22103, 16674, 22004, 16641, 49135, 16396, 30878, 16665, 26435, 16671, 17393, 16917, 32496, 27435, 16972, 18380, 17160, 17280, 16709, 31471, 22766, 16715, 18244, 16604, 16387, 16421, 16391, 16467, 16392, 16387, 16396, 53388, 16972, 18380, 16725, 20609, 16397, 16443, 16582, 26371, 16409, 16582, 16396, 16604, 16390, 16440, 20649, 23249, 21372, 16462, 16387, 16445, 16474, 16448, 16476, 16387, 16674, 31288, 16739, 16397, 18609, 30964, 28654, 16387, 16445, 16474, 16449, 16395, 16450, 16476, 16387, 16390, 16582, 16449, 34289, 20147, 16409, 16582, 16396, 16604, 16390, 26197, 30964, 28654, 16443, 16446, 22194, 18380, 16725, 16397, 54690, 16390, 16582, 23718, 16409, 18475, 20310, 16972, 18380, 17160, 22103, 16715, 21067, 17160, 38598, 24720, 16582, 16396, 16396, 16396, 16582, 16582, 38194, 16582, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16582, 16582, 16853, 18077, 38598, 24720, 17891, 35298, 20609, 25244, 17141, 16671, 16604, 16400, 16406, 16405, 16405, 16395, 17187, 23854, 16663, 29924, 20140, 16641, 18528, 16671, 27768, 16647, 30174, 18443, 16671, 17785, 16463, 18289, 16672, 20635, 16604, 16442, 16415, 24048, 16661, 16444, 16397, 26367, 16395, 16647, 36100, 21193, 16721, 25684, 16647, 32161, 16673, 38598, 24720, 16763, 17092, 20916, 16672, 16604, 16400, 16407, 16403, 16399, 16809, 22295, 16677, 16674, 16763, 18613, 20140, 16672, 16647, 19164, 16604, 16400, 16408, 16757, 16674, 18334, 16604, 16401, 16399, 16757, 28154, 16397, 17170, 25246, 16647, 19453, 18014, 16715, 35298, 20609, 16741, 16728, 22360, 16647, 17210, 16721, 38598, 24720, 20790, 16395, 16944, 19684, 16671, 16647, 21691, 16673, 45653, 16666, 20609, 16397, 18708, 20609, 32057, 27319, 17065, 16884, 58962, 16395, 17187, 20470, 16672, 17492, 45653, 16807, 16647, 17396, 24319, 16410, 27143, 17092, 20916, 16917, 17274, 18528, 16672, 16604, 16400, 16408, 16400, 16400, 16672, 16604, 16442, 16415, 17591, 16444, 16671, 18077, 44253, 16674, 18242, 16709, 16395, 20873, 45653, 16666, 20609, 16671, 18077, 38598, 24720, 16958, 20916, 16672, 16641, 23286, 16673, 17567, 25256, 16809, 16908, 17166, 16871, 16674, 29626, 16806, 22462, 16604, 16442, 16415, 16458, 17166, 16871, 16400, 16408, 16401, 16406, 19048, 28223, 16444, 16604, 16391, 19914, 17027, 16604, 16442, 16415, 16934, 16699, 51668, 16444, 16674, 27858, 42553, 16392, 16397, 16582, 16582, 17071, 17213, 22395, 16742, 16769, 20309, 16672, 16647, 24375, 17415, 59455, 19258, 16674, 16972, 18380, 16725, 20609, 16395, 16734, 21855, 19863, 16647, 18077, 16673, 29160, 16944, 21067, 16758, 16734, 17005, 16397, 16772, 17231, 16673, 55075, 20609, 16671, 18077, 38598, 24720, 25244, 17141, 16671, 16604, 16400, 16408, 16406, 16407, 16672, 16985, 16673, 16832, 16397, 16416, 16397, 16425, 16397, 21166, 16473, 16604, 16442, 16415, 16934, 16699, 51668, 16444, 16397, 17664, 16769, 17259, 19223, 16671, 27178, 17587, 18528, 29160, 16395, 17789, 29311, 16396, 19338, 20609, 17274, 16741, 34765, 20609, 16604, 16391, 16452, 16397, 16454, 16397, 18331, 16442, 16415, 16706, 18017, 16401, 16399, 16400, 16404, 18489, 16444, 16392, 16395, 42493, 18400, 32757, 16604, 16391, 16452, 16397, 16454, 16397, 18331, 16442, 16415, 16717, 49811, 16401, 16399, 16400, 16407, 17977, 43984, 16444, 16392, 16395, 25005, 18905, 17063, 20609, 16604, 16391, 16452, 16397, 16454, 16397, 18331, 16442, 16415, 38273, 22591, 16401, 16399, 16399, 16408, 16451, 17146, 16954, 16444, 16392, 16395, 16674, 31517, 20609, 16604, 16391, 16452, 16397, 16454, 16397, 18331, 16442, 16415, 16717, 49811, 16401, 16399, 16400, 16407, 17977, 43984, 16444, 16392, 16395, 16741, 17204, 16741, 20151, 18815, 17731, 16396, 23761, 20609, 17274, 16741, 49690, 20609, 16734, 33868, 31952, 16604, 16391, 16452, 16397, 16454, 16397, 18331, 16442, 16415, 28851, 23021, 28535, 16401, 16399, 16400, 16404, 16451, 17146, 16954, 16444, 16392, 16395, 55075, 20609, 16604, 16391, 16452, 16397, 16454, 16397, 18331, 16442, 16415, 16463, 16919, 17876, 16808, 16401, 16399, 16400, 16406, 16684, 53438, 16444, 16392, 16395, 19680, 19278, 20609, 16604, 16391, 16452, 16397, 16454, 16397, 18331, 16442, 16415, 17162, 26150, 16401, 16399, 16400, 16407, 45678, 25774, 16444, 16392, 16395, 16674, 22688, 16396, 19338, 35628, 16604, 16391, 16452, 16397, 16454, 16397, 18331, 16442, 16415, 58024, 16401, 16399, 16400, 16408, 23317, 25242, 16444, 16604, 17064, 17134, 17027, 16604, 16442, 16415, 24048, 16661, 16444, 16674, 27858, 42553, 16392, 16397, 16582, 16582, 16419, 56903, 16817, 17014, 32426, 29160, 18379, 41139, 16647, 28578, 16673, 20937, 16672, 20609, 16395, 16741, 16728, 17123, 16703, 18882, 16671, 18291, 16647, 23614, 16671, 16944, 31585, 17208, 16703, 47368, 32196, 16395, 50872, 19029, 16672, 23673, 20937, 16395, 16741, 17204, 16741, 29213, 16647, 18814, 16673, 20664, 16674, 19149, 16604, 16442, 16415, 46896, 40005, 16444, 16397, 18196, 17655, 17586, 16815, 19705, 21331, 16395, 29144, 17123, 31869, 17014, 28845, 17072, 16647, 19591, 17208, 16703, 42233, 16674, 17014, 26711, 34814, 17415, 43713, 16604, 16442, 16415, 46896, 40005, 16401, 16444, 16397, 16582, 16582, 17071, 17016, 21983, 16742, 19265, 26551, 16641, 20318, 18383, 16673, 59455, 16972, 18380, 16725, 16944, 16742, 17322, 16604, 16442, 16393, 16387, 16421, 16391, 16467, 16392, 16387, 16396, 53388, 16972, 18380, 16725, 16393, 16444, 16474, 16476, 16395, 17891, 16641, 64760, 16673, 28054, 27977, 38860, 16972, 18380, 16725, 16397, 17170, 19474, 20634, 16917, 16671, 18528, 21067, 17160, 29160, 16395, 16674, 20781, 16742, 55217, 16811, 19420, 16671, 16647, 18077, 16991, 16673, 17073, 17736, 19696, 16397, 18916, 61455, 28054, 16604, 16387, 16465, 16387, 16396, 53388, 16972, 18380, 16725, 16672, 23728, 16604, 16443, 16442, 16974, 16689, 16443, 16444, 16395, 16742, 26551, 16641, 16972, 18380, 17160, 17917, 16604, 16387, 16421, 16391, 16467, 16392, 16387, 17181, 16944, 16742, 26551, 16641, 59455, 20583, 16647, 16972, 18380, 17160, 18528, 16395, 16741, 20101, 16672, 48132, 16604, 16443, 16442, 16453, 16874, 17435, 16443, 16444, 16397, 16582, 16582, 16442, 16393, 16393, 35739, 16397, 16393, 16393, 16444, 16474, 16476, 29325, 16641, 17917, 16604, 16387, 16421, 16391, 16467, 16392, 16409, 16604, 16443, 22060, 16474, 16429, 16476, 16443, 29061, 16604, 16443, 22060, 16474, 16429, 16476, 16387, 16395, 16742, 24560, 16667, 16604, 16442, 16393, 16387, 16421, 16391, 16467, 16392, 16387, 16396, 53388, 16972, 18380, 16725, 18528, 16393, 16444, 16474, 16476, 16709, 16641, 21405, 16604, 16387, 16422, 16387, 16734, 45795, 16604, 16387, 16437, 16387, 16674, 25241, 30006, 17280, 16604, 16387, 16416, 16446, 16399, 16387, 16741, 16647, 17650, 16944, 16767, 17005, 16604, 16387, 16467, 16394, 16400, 16387, 16872, 30006, 17280, 18201, 16809, 16604, 16387, 16387, 16443, 18364, 16474, 46162, 16476, 16582, 16416, 16446, 16474, 16467, 16394, 16400, 16476, 16604, 16412, 16711, 16446, 16474, 16467, 16476, 16604, 16443, 31487, 16604, 16443, 16474, 16469, 16604, 16443, 16642, 16965, 16650, 16409, 16604, 16475, 16429, 16391, 16469, 16392, 16604, 16443, 25017, 16711, 16446, 16467, 16475, 16604, 16443, 31790, 16773, 16391, 16467, 16392, 16443, 16476, 16395, 16604, 16443, 16806, 16474, 46162, 16476, 16387, 16387, 17187, 16604, 16387, 16429, 16391, 16469, 16392, 16387, 45383, 16647, 17280, 16673, 47821, 45795, 16671, 16604, 16387, 16469, 16387, 16395, 16674, 16742, 17723, 16604, 16387, 16416, 16446, 16443, 26414, 16387, 16703, 16647, 18551, 17280, 16673, 30006, 45795, 18266, 16647, 16972, 18380, 16725, 17650, 16872, 21392, 16397, 16582, 16582, 17071, 23728, 16604, 16443, 16442, 18489, 16443, 16444, 16742, 18077, 16991, 20873, 21454, 16673, 16811, 18528, 16395, 23467, 18244, 16604, 16391, 16644, 22500, 16392, 22072, 16944, 20303, 16647, 18528, 16972, 18380, 17099, 16395, 16674, 18077, 16647, 20927, 27505, 16604, 16387, 16463, 16446, 16450, 16387, 16397, 21123, 17038, 29723, 18526, 29584, 16815, 16647, 18077, 16673, 20176, 36543, 19784, 16944, 16961, 17823, 16671, 21005, 16667, 38144, 16395, 16742, 16769, 20309, 17490, 16672, 16647, 16972, 18380, 17160, 17005, 16673, 16647, 18528, 16395, 16741, 17204, 16741, 16672, 27435, 16972, 18380, 17160, 22103, 16397, 17119, 18077, 16647, 19022, 16672, 23728, 16604, 16443, 16442, 18489, 16401, 16443, 16444, 16395, 17187, 16809, 22438, 24523, 22072, 16671, 16604, 16387, 16421, 16391, 16467, 16392, 16387, 16395, 16742, 21715, 37773, 16709, 16647, 16972, 18380, 17160, 17005, 16672, 46149, 16604, 16443, 16442, 17491, 21530, 16407, 16443, 16444, 16397, 16582, 16582, 28368, 16395, 16672, 23728, 16604, 16443, 16442, 17784, 20310, 16443, 16444, 16674, 23728, 16604, 16443, 16442, 17784, 20310, 16401, 16443, 16444, 16742, 26551, 16674, 18077, 32496, 27435, 16972, 18380, 17160, 22103, 16715, 16604, 16387, 16421, 16391, 16467, 16392, 16387, 16396, 53388, 16972, 18380, 16725, 16709, 16604, 16391, 23786, 16396, 32799, 16392, 22766, 16397, 17170, 22277, 16671, 16917, 16673, 17038, 17736, 18466, 16672, 37115, 16604, 16443, 16442, 16820, 16462, 16400, 16443, 16444, 16395, 17187, 16742, 23467, 16667, 26435, 16715, 21311, 16647, 32496, 27435, 16972, 18380, 17160, 22103, 16397, 57930, 16395, 16742, 31748, 16647, 19420, 16734, 16641, 23576, 16672, 23728, 16604, 16443, 16442, 23563, 16443, 16444, 16673, 17038, 18528, 16674, 26435, 16671, 16647, 18528, 16674, 26435, 19570, 16672, 16604, 16442, 16415, 16874, 16450, 17793, 16444, 16715, 63959, 16956, 27977, 38860, 16972, 18380, 16725, 16395, 16674, 48676, 16647, 17717, 16673, 18625, 17476, 22072, 17989, 17038, 59455, 16972, 18380, 16725, 16397, 16582, 16582, 36300, 16409, 27977, 38860, 16972, 18380, 16725, 16674, 16702, 20678, 20609, 16604, 16474, 16386, 16974, 16689, 16476, 16582, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16582, 16582, 54950, 38860, 16972, 18380, 16725, 16763, 22204, 16672, 16604, 16400, 16408, 16406, 16408, 16672, 16647, 20409, 16673, 21173, 17731, 28792, 16672, 17970, 16671, 30645, 45392, 26683, 19258, 16672, 16944, 18354, 21667, 23496, 17415, 22134, 16674, 30050, 16396, 19645, 26459, 16604, 16442, 16415, 53186, 16444, 16397, 16999, 16872, 18215, 21003, 16672, 16647, 19831, 16673, 25727, 19924, 16672, 53991, 19147, 16395, 16647, 27285, 17194, 35272, 17650, 16673, 26683, 62055, 16395, 16741, 17204, 16741, 16647, 22155, 16673, 21932, 16672, 16641, 34436, 20555, 16673, 20117, 20693, 16604, 16442, 16415, 17550, 32628, 16444, 16397, 16582, 16582, 54950, 38860, 16972, 18380, 16725, 16872, 17301, 16992, 23954, 27178, 17587, 16709, 31471, 16674, 32866, 38935, 22766, 17789, 22845, 17475, 16396, 44874, 17768, 22766, 16604, 16391, 16452, 16397, 16454, 16397, 17134, 16604, 16442, 16415, 26533, 16402, 16400, 16405, 16403, 16406, 16405, 16405, 16444, 16392, 16397, 16999, 17607, 17432, 34053, 16647, 19938, 16673, 18403, 20937, 16674, 16647, 31517, 22797, 16673, 38144, 32161, 16395, 16674, 17607, 22982, 16715, 16647, 19938, 16673, 33043, 24294, 16673, 20470, 16397, 30787, 16395, 17543, 16675, 17225, 24720, 16672, 16944, 17213, 20671, 16807, 18650, 19938, 16769, 17607, 23999, 17014, 28060, 16734, 31395, 20106, 17180, 20609, 17274, 16741, 27977, 38860, 16972, 18380, 16725, 16604, 16442, 16415, 56954, 17180, 16444, 16395, 16944, 16704, 21365, 16741, 21983, 16397, 16582, 16582, 18264, 16604, 16387, 16461, 16443, 16642, 16604, 16443, 22060, 16474, 16441, 16476, 16445, 16394, 16387, 16395, 16742, 24560, 16667, 16604, 16442, 16393, 16387, 16461, 16387, 16396, 53388, 16972, 18380, 16725, 18528, 16393, 16444, 16474, 16476, 16709, 16641, 21405, 16604, 16387, 16422, 16387, 16734, 45795, 16604, 16387, 16437, 16387, 16674, 25241, 30006, 17280, 16604, 16387, 16416, 16446, 16399, 16387, 16741, 16647, 17650, 16672, 16944, 16767, 17005, 16604, 16387, 16467, 16394, 16400, 16387, 16872, 30006, 17280, 18201, 16809, 16604, 16387, 16387, 16443, 18364, 16474, 46162, 16476, 16582, 16416, 16446, 16474, 16467, 16394, 16400, 16476, 16604, 16412, 16711, 16446, 16474, 16467, 16476, 16604, 16443, 31487, 16604, 16443, 16474, 16469, 16604, 16443, 16642, 16965, 16650, 16409, 16604, 16475, 16429, 16391, 16469, 16392, 16604, 16443, 25017, 16711, 16446, 16467, 16475, 16604, 16443, 31790, 16686, 16443, 16476, 16397, 16604, 16443, 16806, 16474, 46162, 16476, 16387, 16387, 20195, 16395, 16741, 17329, 16395, 16742, 54469, 16809, 16604, 16387, 16429, 16391, 16469, 16392, 16387, 16647, 17280, 16673, 47821, 45795, 16671, 16604, 16387, 16469, 16387, 16397, 16582, 16582, 17071, 23065, 16395, 16641, 16604, 16442, 16393, 16434, 20678, 26712, 16393, 16444, 16474, 16476, 30445, 16767, 17492, 17005, 16604, 16387, 16467, 16387, 16647, 17679, 16673, 40905, 20470, 16604, 16387, 16434, 16391, 16467, 16392, 16387, 16734, 16647, 17679, 16673, 30006, 20470, 16604, 16387, 16424, 16391, 16467, 16392, 16387, 16674, 16647, 17679, 16673, 30345, 20470, 16604, 16387, 16433, 16391, 16467, 16392, 16387, 16395, 16809, 16641, 17434, 16673, 33868, 31952, 16604, 17064, 16667, 18185, 16673 ]
[ 0, 16396, 16396, 16396, 16582, 38841, 16409, 16604, 16390, 39552, 22525, 16604, 16391, 26278, 16392, 16704, 16641, 18474, 17036, 48144, 18586, 16672, 17586, 27220, 16397, 16719, 26278, 16604, 16391, 25502, 43930, 16396, 29803, 45934, 47399, 16392, 16704, 16667, 47617, 26435, 16721, 16872, 16992, 24228, 21627, 16671, 30981, 19153, 16672, 17259, 35057, 16397, 17119, 23467, 20424, 37211, 16719, 26278, 16604, 16391, 28768, 16418, 26278, 16392, 16741, 16641, 19765, 62964, 16395, 56810, 16395, 26965, 16674, 25956, 19288, 16673, 16647, 16719, 26278, 26435, 16395, 23557, 16673, 24233, 16734, 16647, 18122, 30788, 16673, 17586, 23850, 16673, 17703, 17586, 21003, 16397, 21821, 25549, 16673, 16647, 26435, 16958, 25388, 16674, 19739, 17655, 16647, 46157, 43121, 28518, 28575, 18528, 16395, 19333, 31457, 29735, 18443, 16671, 17073, 17240, 23045, 22402, 18032, 17032, 16751, 43923, 16743, 16466, 27139, 51570, 16718, 18528, 16397, 17119, 23679, 17038, 32200, 16709, 17910, 27362, 18125, 43713, 16395, 17492, 31291, 16673, 16641, 18122, 17679, 16673, 28873, 16674, 17142, 17027, 31291, 16673, 16641, 18122, 17679, 16673, 19696, 16397, 16772, 18466, 17299, 16721, 17038, 32200, 16958, 26375, 16672, 19246, 16673, 17490, 17005, 16396, 16452, 41840, 16674, 30481, 18038, 16397, 16875, 53992, 16641, 20117, 28518, 16395, 16873, 16958, 17914, 16671, 22010, 21036, 43713, 17032, 16647, 17975, 16396, 29715, 37211, 31340, 41348, 19288, 17437, 27187, 16647, 18950, 16673, 16647, 18466, 16395, 17226, 16397, 16452, 16397, 16395, 20001, 16647, 17396, 19696, 16958, 21506, 16809, 17038, 32200, 17014, 19739, 16671, 16647, 19170, 26435, 18125, 16672, 31340, 41348, 16397, 16390, 16582, 32526, 16409, 16582, 16396, 16604, 16475, 16582, 16696, 23853, 16466, 25280, 19542, 16395, 16443, 16582, 16696, 29863, 21561, 34269, 18059, 16673, 57039, 16397, 47657, 16397, 16702, 20649, 35979, 16395, 17880, 16454, 17495, 16716, 16666, 18945, 16395, 57039, 16582, 16396, 16604, 16475, 16582, 16696, 39770, 16673, 29671, 21209, 16395, 18059, 16673, 17385, 18336, 17526, 16443, 16582, 16696, 18342, 18336, 17526, 16774, 22295, 18552, 16395, 16604, 16401, 16407, 16407, 16406, 16400, 31016, 16395, 24970, 16582, 16396, 16604, 16475, 16582, 16696, 39770, 16673, 29671, 21209, 16395, 18059, 16673, 16711, 18739, 16468, 36159, 16443, 16582, 16696, 35459, 16730, 16774, 18946, 17115, 36159, 16648, 16398, 16461, 16604, 16400, 16404, 16399, 16406, 16400, 16604, 16396, 16711, 18739, 16468, 36159, 16395, 24970, 16582, 26371, 16409, 16582, 16396, 16604, 16390, 16433, 24703, 16396, 36529, 20082, 17847, 16396, 16428, 24370, 19657, 16390, 16582, 16396, 16604, 16390, 35662, 16656, 16774, 16396, 21285, 22287, 16390, 16582, 16396, 23464, 40587, 16582, 16396, 16604, 16390, 21517, 17603, 16462, 61827, 16396, 29190, 22704, 16786, 16390, 16582, 23718, 16409, 16604, 16390, 31594, 37211, 18739, 43930, 16396, 29803, 45934, 47399, 16672, 43121, 16390, 16582, 16396, 16396, 16396, 16582, 16582, 41967, 22525, 16604, 16395, 17651, 16666, 18038, 16604, 16395, 23183, 17586, 16604, 16395, 26645, 26920, 16604, 16395, 16450, 21620, 16604, 16395, 23317, 43930, 16582, 16582, 38194, 16604, 16474, 16386, 19810, 16409, 16974, 16689, 16476, 16582, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16582, 16582, 17071, 18961, 17202, 16395, 16647, 22754, 16673, 17703, 17586, 16872, 21056, 34135, 21532, 16715, 16858, 20286, 16673, 21584, 16674, 23267, 16672, 17259, 22262, 16397, 18126, 16879, 16882, 17605, 16813, 16397, 50095, 16442, 16415, 16439, 16879, 16882, 16438, 16468, 16401, 16399, 16400, 16403, 16444, 16395, 18919, 16395, 17731, 16721, 16647, 17703, 17586, 24623, 16872, 17659, 16671, 16907, 16804, 17097, 16734, 17259, 21532, 16850, 17027, 16734, 22460, 16673, 20853, 16715, 17310, 21584, 16674, 23267, 21277, 16671, 30536, 17007, 16397, 22046, 27220, 16704, 16917, 18676, 17187, 16647, 20853, 21035, 16809, 17703, 17586, 16843, 16703, 39878, 16395, 16674, 16395, 16741, 24483, 16809, 25620, 16458, 17138, 16450, 17605, 16813, 16397, 50095, 16442, 16415, 33406, 16458, 17138, 16450, 16401, 16399, 16400, 16403, 50984, 16444, 16395, 16647, 17736, 20929, 16704, 16671, 24303, 21221, 17624, 16785, 19461, 16815, 17213, 19770, 17586, 30788, 16721, 24190, 16907, 16671, 20721, 16785, 17607, 17967, 16647, 37555, 19423, 16672, 16647, 21661, 16673, 16647, 17586, 16397, 16582, 16582, 39552, 22525, 16604, 16391, 26278, 16392, 16704, 16641, 41959, 16798, 23789, 24291, 16721, 16872, 29059, 16741, 16667, 17889, 18586, 16672, 17586, 27220, 16397, 21937, 16671, 30446, 16645, 16674, 18946, 17146, 43613, 18331, 16442, 16415, 34595, 16645, 16401, 16399, 16399, 16402, 16444, 17073, 20380, 16704, 17142, 29036, 16409, 16671, 21112, 21646, 29939, 16674, 28859, 16671, 60023, 47298, 29939, 16397, 17170, 20380, 16872, 18222, 17199, 16922, 17889, 38266, 16395, 16741, 23587, 35830, 16673, 17586, 17109, 16671, 16703, 30254, 16672, 16858, 24146, 16673, 37131, 16397, 59398, 16756, 17027, 18492, 16647, 20929, 16673, 16804, 17961, 18010, 39768, 20078, 16397, 16875, 16641, 18603, 16673, 16647, 17154, 24305, 17405, 47617, 20625, 16395, 28430, 20577, 16396, 21356, 38250, 17605, 16813, 16397, 18331, 16442, 16415, 60776, 16645, 16396, 21356, 38250, 16401, 16399, 16400, 16404, 16449, 16444, 31748, 16721, 16986, 16704, 16641, 20299, 17109, 16715, 56810, 16674, 22547, 47617, 20625, 16395, 18201, 16721, 16647, 21160, 20625, 16769, 18715, 16671, 22882, 39517, 16715, 26711, 16647, 20209, 17679, 16673, 19696, 31867, 16672, 17703, 17586, 16397, 16582, 16582, 58934, 16709, 16914, 18774, 16734, 16647, 30981, 17650, 16395, 47617, 20625, 16769, 25662, 30103, 16672, 16917, 16673, 17567, 17736, 25796, 16604, 16409, 16604, 16391, 16456, 16392, 24052, 20625, 16395, 16604, 16391, 19904, 16392, 53584, 20625, 16395, 16785, 16604, 16391, 33410, 16392, 31995, 20625, 16397, 16604, 16393, 24321, 17500, 16393, 26630, 29885, 16709, 16647, 24319, 16673, 16647, 17586, 16674, 16395, 17608, 16873, 16769, 21191, 16673, 16998, 19470, 23950, 16395, 16873, 18616, 17827, 39768, 18900, 16397, 17513, 16807, 16992, 19628, 16671, 16703, 17889, 17036, 48144, 22658, 16395, 16734, 17259, 21003, 17274, 16741, 50619, 31777, 18331, 16442, 16415, 19157, 18703, 16401, 16399, 16400, 16401, 16410, 16604, 16415, 19157, 18703, 16401, 16399, 16400, 16402, 16444, 16674, 20338, 20980, 17586, 30981, 16397, 16875, 20338, 20980, 17586, 30981, 16395, 34631, 19646, 17607, 16785, 16767, 17965, 31065, 18466, 16672, 19246, 16673, 26656, 16671, 25252, 30355, 18331, 16442, 16415, 60776, 16645, 16396, 21356, 38250, 16401, 16399, 16400, 16404, 16448, 16444, 16397, 16875, 16604, 16393, 49743, 16393, 20625, 16395, 16647, 18551, 37384, 22525, 16704, 18138, 16709, 16641, 19470, 26435, 16721, 16704, 28938, 24875, 16734, 16647, 17586, 16397, 21604, 25252, 30355, 20903, 16671, 19031, 16647, 18551, 26656, 16673, 16647, 19470, 23950, 16395, 16873, 16769, 19294, 16922, 18906, 29116, 22362, 17032, 16647, 16977, 17142, 25054, 16397, 24229, 16395, 16672, 16604, 16393, 35364, 28833, 16393, 20625, 16395, 47617, 16704, 17015, 16673, 16647, 30981, 17650, 16395, 16693, 16397, 16454, 16397, 16395, 16741, 20778, 16734, 19270, 22766, 16397, 16582, 16582, 23494, 17889, 30981, 16673, 47617, 20625, 16704, 16395, 18745, 16671, 16914, 18466, 16395, 16741, 16604, 16391, 16456, 16392, 21410, 16646, 32200, 16785, 16604, 16391, 19904, 16392, 37384, 47550, 32200, 16397, 18419, 16604, 16393, 31381, 16756, 16393, 16395, 16647, 17539, 16704, 16641, 38378, 17280, 16673, 16647, 19170, 19696, 16397, 16772, 17970, 16673, 16811, 21506, 17280, 16704, 21365, 18745, 16671, 16647, 18950, 16721, 16647, 47617, 18197, 34158, 16715, 17492, 20732, 16397, 19214, 21410, 16756, 17027, 27327, 16641, 20007, 16671, 17492, 20732, 16721, 19522, 16922, 17624, 16931, 17073, 18950, 16397, 16604, 16393, 21746, 17793, 21112, 17035, 16393, 17911, 16641, 17975, 16396, 37671, 37384, 16673, 19696, 16815, 16647, 19170, 17280, 16859, 16721, 18226, 16873, 24998, 16647, 21165, 18230, 18950, 18745, 16671, 16991, 18201, 20165, 16397, 21064, 17793, 21112, 17035, 16395, 20821, 16395, 19881, 16673, 16641, 19514, 23914, 16674, 16667, 25416, 20165, 16397, 17170, 16843, 16703, 19570, 16667, 21483, 16672, 17259, 19140, 16395, 16741, 21410, 16756, 19294, 26828, 19696, 34519, 16674, 19220, 16728, 16671, 16647, 19397, 16671, 21112, 16647, 17679, 16673, 17772, 19696, 16672, 16641, 31709, 16397, 16582, 16582, 19494, 24052, 16396, 19338, 37384, 47550, 18197, 16704, 16647, 18739, 43930, 16396, 29803, 45934, 47399, 16604, 16391, 16418, 26278, 16392, 26435, 18331, 16442, 16415, 43688, 16401, 16399, 16399, 16399, 16444, 16395, 35466, 19570, 21221, 18443, 16671, 17073, 19629, 16804, 17097, 16671, 21033, 41959, 16798, 16850, 17027, 16671, 19077, 30981, 26435, 18980, 16397, 18523, 16395, 16647, 16719, 26278, 26435, 16395, 16945, 17259, 16977, 64720, 47617, 32200, 16395, 16872, 16641, 17005, 27460, 29312, 16604, 16387, 16443, 20824, 16474, 16430, 16476, 16391, 16460, 16445, 16401, 16604, 16443, 27745, 16686, 16392, 16387, 16395, 17187, 16604, 16387, 16460, 16387, 16704, 16647, 17679, 16673, 19696, 16674, 16604, 16387, 16461, 16387, 16704, 16647, 17679, 16673, 28873, 16397, 17170, 63676, 29312, 16672, 16647, 17679, 16673, 19696, 18199, 16719, 26278, 17238, 25628, 16671, 16647, 16604, 16393, 17347, 39019, 16673, 41959, 16798, 16393, 18331, 16442, 16415, 22902, 17392, 16400, 16408, 16404, 16406, 45634, 16444, 16397, 23466, 16395, 16641, 56810, 32383, 16673, 16647, 19170, 26435, 16704, 19062, 16671, 16703, 17914, 16671, 20746, 16647, 16719, 26278, 26435, 16671, 43713, 16721, 16769, 18122, 17490, 16672, 17679, 16673, 28873, 16674, 30369, 16397, 16582, 16582, 17894, 16641, 19208, 16671, 16647, 17703, 17586, 29698, 16395, 17259, 23477, 16674, 25776, 47359, 16807, 21737, 16734, 16647, 20199, 16673, 21577, 17586, 27220, 34672, 17802, 17009, 23575, 16674, 32200, 16721, 16843, 29430, 16647, 20929, 16673, 50168, 16985, 17030, 35087, 16673, 27085, 16397, 18483, 17274, 19349, 16721, 16872, 19193, 19151, 17240, 19761, 16704, 46157, 43121, 18331, 16442, 16415, 16441, 17162, 25361, 16401, 16399, 16400, 16399, 16444, 16395, 16944, 23294, 16641, 17009, 25776, 18528, 16721, 16704, 16641, 43363, 16688, 16673, 16647, 27139, 51570, 16718, 18528, 22204, 16809, 20521, 18331, 16442, 16415, 58267, 16401, 16399, 16399, 16403, 16448, 16410, 16604, 16415, 58267, 16401, 16399, 16399, 16407, 16444, 16397, 18483, 16673, 43121, 16743, 16466, 33747, 28613, 17030, 16647, 20839, 27139, 51570, 16718, 18528, 16704, 17073, 19629, 16671, 32936, 22010, 16647, 27750, 17225, 32200, 16721, 23976, 18560, 16672, 16647, 17586, 27220, 16674, 21537, 19470, 22262, 16397, 16582, 16582, 17507, 23467, 17142, 25956, 16674, 26965, 25549, 16673, 16647, 19170, 16719, 26278, 26435, 16715, 30981, 19153, 17655, 16647, 46157, 43121, 25776, 18528, 16397, 16772, 17736, 19777, 17415, 17007, 16704, 17072, 16647, 17586, 16704, 25956, 18325, 16647, 28518, 16395, 17226, 16397, 16452, 16397, 16395, 17655, 16641, 33414, 35194, 16661, 23950, 16604, 16391, 41138, 16392, 16785, 17655, 16641, 28720, 35194, 16661, 23950, 16604, 16391, 40847, 16392, 16397, 17119, 24416, 16647, 17142, 25549, 16604, 17064, 22758, 16418, 26278, 16396, 41138, 16674, 22758, 16418, 26278, 16396, 40847, 16395, 22358, 16604, 17064, 16674, 17027, 24416, 17007, 16734, 16641, 32320, 16395, 24398, 16809, 16647, 28054, 17975, 16396, 29715, 37211, 23643, 16673, 16719, 26278, 16672, 31340, 41348, 18331, 16442, 16415, 43688, 16401, 16399, 16399, 16408, 16448, 16444, 16397, 24229, 16395, 16914, 20431, 16672, 19246, 16673, 21999, 27460, 17005, 16769, 19739, 16734, 17310, 16673, 16647, 16719, 26278, 19288, 20140, 16809, 16799, 16729, 16676, 16396, 40527, 17435, 17605, 16813, 16397, 18331, 16442, 16415, 16420, 16729, 16676, 16396, 45184, 17435, 16401, 16399, 16400, 16405, 16444, 16715, 34765, 19153, 16397, 16772, 18466, 17299, 16721, 16647, 17005, 16396, 16452, 41840, 16674, 30481, 18038, 16673, 17038, 17142, 25549, 16769, 16667, 24206, 16709, 17310, 16673, 16647, 19170, 19288, 16673, 16647, 16719, 26278, 16410, 18613, 19502, 16395, 18655, 16785, 22818, 27460, 18032, 16769, 21715, 16734, 18577, 16671, 16647, 16799, 16729, 16676, 16396, 45184, 17435, 17605, 16813, 18331, 16442, 16415, 16420, 16729, 16676, 16396, 45184, 17435, 16401, 16399, 16400, 16405, 16444, 34765, 19288, 16397, 16875, 16647, 17654, 16673, 30246, 16845, 49952, 16395, 17038, 20052, 16674, 21331, 16769, 18125, 16741, 16641, 43121, 23444, 16442, 16445, 16400, 16444, 18047, 22758, 16418, 26278, 16395, 16734, 16641, 24284, 27663, 16672, 16796, 28472, 16397, 16442, 16445, 16401, 16444, 16582, 16582, 16853, 17745, 16673, 16811, 19420, 16704, 25095, 16741, 21983, 16397, 23728, 18331, 16443, 16442, 19810, 16409, 20258, 17663, 16808, 16443, 16444, 62153, 16647, 17154, 17889, 25691, 16672, 16647, 18124, 16673, 25956, 16674, 26965, 47617, 16674, 42574, 16641, 30981, 18745, 16671, 17072, 26965, 17873, 16704, 21996, 16891, 16397, 23728, 18331, 16443, 16442, 19810, 16409, 16450, 26278, 16443, 16444, 25684, 16647, 19170, 16719, 26278, 26435, 16395, 17789, 17073, 30496, 37294, 16397, 23728, 18331, 16443, 16442, 19810, 16409, 53006, 16443, 16444, 25268, 16647, 17736, 22797, 16673, 16647, 46157, 43121, 28575, 24819, 16395, 26305, 16709, 17310, 21646, 16671, 16647, 17802, 16674, 23643, 16673, 17038, 21270, 32200, 16397, 23728, 18331, 16443, 16442, 19810, 16409, 24337, 16418, 26278, 16443, 16444, 25684, 16674, 33746, 17038, 22758, 16418, 26278, 16396, 41138, 16674, 22758, 16418, 26278, 16396, 40847, 25549, 16673, 16647, 16719, 26278, 26435, 16397, 23728, 18331, 16443, 16442, 19810, 16409, 33329, 21972, 16443, 16444, 25684, 17038, 25717, 16671, 24416, 18466, 16715, 22758, 16418, 26278, 16396, 41138, 16674, 22758, 16418, 26278, 16396, 40847, 16395, 16647, 31340, 41348, 19474, 16674, 16647, 16799, 16729, 16676, 16396, 40527, 17435, 17605, 16813, 16397, 18331, 16442, 16415, 16420, 16729, 16676, 16396, 45184, 17435, 16401, 16399, 16400, 16405, 16444, 19474, 16397, 24229, 16395, 32458, 16674, 18368, 16985, 16769, 34974, 16672, 23728, 18331, 16443, 16442, 19810, 16409, 16979, 28659, 16443, 16444, 16397, 16582, 16582, 36300, 16674, 39198, 21246, 16604, 16474, 16386, 19810, 16409, 20258, 17663, 16808, 16476, 16582, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412 ]
[ 0, 16398, 16393, 16582, 16604, 16393, 34832, 16604, 16401, 16399, 16400, 16408, 16396, 16401, 16399, 16401, 16399, 29314, 16396, 50412, 17060, 17389, 22820, 20205, 16582, 16604, 16393, 16582, 16604, 16393, 60181, 17131, 16647, 46157, 31010, 16395, 33974, 16604, 16401, 16397, 16399, 16604, 16391, 17347, 16604, 16385, 65416, 16385, 16392, 16410, 16582, 16604, 16393, 16732, 17123, 16804, 17231, 16811, 19471, 20302, 16672, 26344, 16734, 16647, 31010, 16397, 16582, 16604, 16393, 17332, 17123, 19646, 16641, 20600, 16673, 16647, 31010, 16767, 16582, 16604, 16393, 16582, 16604, 16393, 16696, 19562, 16409, 16398, 16398, 18409, 16397, 26645, 16397, 18431, 16398, 17006, 21613, 16398, 16427, 63724, 16396, 16401, 16397, 16399, 16582, 16604, 16393, 16582, 16604, 16393, 32290, 19062, 16809, 26524, 17780, 16785, 22292, 16671, 16672, 19184, 16395, 20052, 16582, 16604, 16393, 25956, 17131, 16647, 31010, 16704, 25956, 16709, 16667, 16604, 16385, 18327, 20259, 16385, 51177, 18629, 16395, 16582, 16604, 16393, 61781, 58943, 27255, 29381, 24580, 25885, 16419, 18317, 32647, 21256, 34038, 16908, 29352, 16395, 18422, 21398, 16785, 36094, 16397, 16582, 16604, 16393, 21125, 16647, 31010, 16715, 16647, 18462, 19762, 33803, 46419, 16674, 16582, 16604, 16393, 28334, 17131, 16647, 31010, 16397, 16582, 16604, 16393, 16398, 16582, 16582, 16386, 16736, 16461, 18280, 25116, 20678, 16437, 16446, 23965, 39024, 16446, 16418, 16446, 33037, 16446, 16423, 16582, 16386, 26912, 25116, 20678, 16437, 16446, 23965, 39024, 16446, 16418, 16446, 33037, 16446, 16423, 16582, 16582, 16386, 23180, 16604, 16411, 26241, 18280, 16397, 16455, 16413, 16582, 16386, 23180, 16604, 16385, 47176, 16469, 16397, 16455, 16385, 16582, 16582, 16398, 16393, 16582, 16604, 16393, 16719, 16407, 16408, 16396, 62097, 53584, 16715, 25116, 20678, 16437, 16396, 35592, 16390, 28874, 16397, 16582, 16604, 16393, 32785, 16725, 17348, 16704, 46339, 21224, 16647, 20937, 17257, 16804, 20774, 16604, 16400, 16409, 16400, 16734, 16719, 16394, 16394, 28874, 16397, 16582, 16604, 16393, 16999, 16704, 23925, 16671, 17158, 16767, 16647, 48827, 16719, 16394, 16394, 28874, 16715, 16922, 23435, 17624, 16397, 16582, 16604, 16393, 16398, 16582, 16582, 16386, 43722, 16604, 16446, 16446, 16450, 27507, 27507, 16582, 55970, 16604, 16385, 16418, 16385, 16604, 16474, 16582, 16386, 31317, 16582, 16582, 16398, 16393, 16738, 42631, 16980, 16711, 22477, 16785, 28874, 26807, 36178, 43540, 16397, 16604, 16393, 16398, 16582, 16386, 26912, 25116, 32151, 16446, 16418, 16446, 33037, 16446, 44663, 16446, 21423, 16425, 18092, 16604, 16399, 16582, 16398, 16393, 16738, 42631, 16980, 57233, 16785, 52252, 16964, 16769, 18973, 16672, 16641, 36178, 32968, 17210, 16397, 16604, 16393, 16398, 16582, 16386, 26912, 25116, 32151, 16446, 16418, 16446, 33037, 16446, 44663, 16446, 36548, 18092, 16604, 16402, 16399, 16582, 16398, 16393, 16738, 42631, 16980, 22207, 23643, 20184, 17928, 16397, 16604, 16393, 16398, 16582, 16386, 26912, 25116, 32151, 16446, 16418, 16446, 33037, 16446, 44663, 16446, 16431, 36426, 16604, 16399, 16582, 16582, 16386, 16736, 16604, 16384, 24071, 16391, 20961, 32151, 16446, 48511, 54552, 16446, 33037, 16392, 16582, 16386, 16736, 21365, 16391, 20961, 32151, 16446, 21843, 33543, 16446, 39118, 28673, 19785, 16434, 16392, 16582, 16398, 16393, 17812, 18854, 32741, 16397, 28047, 16719, 21712, 30112, 16704, 17405, 16397, 16604, 16393, 16398, 16582, 16386, 16736, 21365, 16391, 16446, 16446, 37477, 28423, 16446, 16446, 16392, 16582, 16386, 26912, 25116, 32151, 16446, 48511, 54552, 16446, 33037, 16604, 16446, 16446, 38150, 16446, 16446, 16391, 16391, 19379, 18688, 16391, 16385, 22449, 16385, 16392, 16392, 16392, 16582, 16386, 39747, 21365, 16391, 16446, 16428, 21066, 16446, 23817, 16392, 16582, 16386, 26912, 25116, 32151, 16446, 48511, 54552, 16446, 33037, 16604, 16446, 16446, 41679, 31680, 16391, 38205, 18754, 16970, 16392, 16582, 16386, 20565, 16582, 16386, 26912, 25116, 32151, 16446, 48511, 54552, 16446, 33037, 16582, 16386, 31317, 16582, 16386, 20565, 16582, 16386, 26912, 25116, 32151, 16446, 48511, 54552, 16446, 33037, 16582, 16386, 31317, 16582, 16386, 31317, 16582, 16582, 16398, 16393, 16582, 16604, 16393, 34924, 16647, 25116, 32151, 16446, 16418, 16446, 33037, 16446, 44663, 16446, 16393, 17405, 16671, 17799, 16811, 22864, 16397, 16582, 16604, 16393, 17960, 16703, 17405, 16671, 18344, 16715, 16711, 22477, 61317, 16980, 16859, 16396, 24219, 16661, 17132, 16804, 20857, 16728, 16397, 16582, 16604, 16393, 16398, 16582, 20961, 32151, 16446, 48511, 54552, 16446, 33037, 19917, 17020, 39134, 16446, 17079, 16446, 24219, 16391, 33961, 16604, 16393, 43271, 16395, 45186, 16604, 16393, 64945, 16395, 45186, 16604, 16393, 31838, 16392, 16410, 16582, 16582, 16398, 16393, 34924, 16641, 18206, 49178, 19288, 20220, 16671, 21986, 16944, 21250, 16641, 18343, 32675, 16763, 19438, 16815, 16397, 16604, 16393, 16398, 16582, 20961, 32151, 16446, 48511, 54552, 16446, 33037, 17794, 17401, 16604, 16393, 17977, 39134, 16446, 17079, 16446, 47106, 16446, 16644, 20228, 16446, 16770, 16446, 50476, 16391, 21395, 16392, 16410, 16582, 16582, 16398, 16393, 18708, 20286, 16769, 61089, 16671, 16647, 19397, 16397, 16604, 16393, 16398, 16582, 59324, 18735, 17020, 39134, 16446, 23916, 16446, 16466, 16604, 16393, 17977, 39134, 16446, 23916, 16410, 16582, 59324, 18735, 17020, 39134, 16446, 62546, 16446, 16729, 16446, 16466, 16604, 16393, 17977, 39134, 16446, 62546, 16446, 16729, 16410, 16582, 59324, 18735, 17020, 39134, 16446, 20036, 21761, 16446, 16466, 16604, 16393, 17977, 39134, 16446, 20036, 21761, 16410, 16582, 59324, 18735, 17020, 39134, 16446, 20036, 21761, 16446, 23815, 16446, 16466, 16604, 16393, 17977, 39134, 16446, 20036, 21761, 16446, 23815, 16410, 16582, 59324, 18735, 17020, 39134, 16446, 42347, 16446, 16466, 16604, 16393, 17977, 39134, 16446, 42347, 16410, 16582, 22957, 17020, 39134, 16446, 18926, 16446, 16466, 16410, 16582, 59324, 17794, 18735, 17020, 39134, 16446, 18926, 16446, 16466, 16604, 16393, 17977, 39134, 16446, 18926, 16410, 16582, 59324, 18735, 17020, 39134, 16446, 49511, 16446, 16466, 16604, 16393, 17977, 39134, 16446, 49511, 16410, 16582, 22957, 17020, 39134, 16446, 17793, 16446, 16466, 16410, 16582, 59324, 17794, 18735, 17020, 39134, 16446, 17793, 16446, 16466, 16604, 16393, 17977, 39134, 16446, 17793, 16410, 16582, 16582, 16398, 16393, 16582, 16604, 16393, 17485, 25564, 47497, 18347, 16466, 16397, 17958, 25116, 20678, 16396, 16437, 60495, 16769, 26313, 16604, 16402, 16401, 16396, 19286, 20246, 16395, 16850, 16811, 20954, 26610, 16944, 17586, 16704, 17405, 16397, 16582, 16604, 16393, 42465, 16671, 16641, 25116, 20678, 18954, 16397, 16582, 16604, 16393, 16398, 16582, 59324, 17778, 16469, 19157, 17020, 39134, 16446, 18926, 16446, 16699, 16410, 16582, 16398, 16393, 42465, 16671, 16641, 25116, 20678, 40783, 16397, 16604, 16393, 16398, 16582, 59324, 17778, 16469, 19157, 17020, 39134, 16446, 45369, 16446, 16699, 16410, 16582, 16398, 16393, 42465, 16671, 16641, 25116, 20678, 47993, 16397, 16604, 16393, 16398, 16582, 59324, 17778, 16469, 19157, 17020, 39134, 16446, 49511, 16446, 16699, 16410, 16582, 16582, 16398, 16393, 21125, 16719, 16394, 16394, 28874, 16397, 16604, 16393, 16398, 16582, 59324, 18735, 17020, 39134, 16446, 18452, 18991, 16446, 31061, 16582, 16474, 16582, 16581, 17977, 39134, 16446, 45369, 16446, 16699, 19931, 16410, 16582, 16581, 17977, 39134, 16446, 18926, 16446, 16699, 19300, 16446, 18926, 16446, 16699, 16410, 16582, 16581, 17977, 39134, 16446, 18926, 16446, 16699, 18383, 16446, 16699, 16410, 16582, 16581, 19886, 17401, 16604, 16393, 18596, 16410, 16582, 16476, 17020, 39134, 16446, 18452, 18991, 16446, 31061, 16410, 16582, 16582, 16398, 16393, 21125, 16719, 16394, 16394, 28874, 16397, 16604, 16393, 16398, 16582, 59324, 18735, 17020, 39134, 16446, 27419, 16446, 20352, 16582, 16474, 16582, 16581, 20102, 16469, 48398, 23726, 27460, 16446, 24048, 16410, 16582, 16581, 19886, 17401, 16604, 16393, 18596, 16410, 16582, 16476, 17020, 39134, 16446, 27419, 16446, 20352, 16410, 16582, 16582, 16398, 16393, 21125, 16719, 16394, 16394, 28874, 16397, 16604, 16393, 16398, 16582, 59324, 18735, 17020, 39134, 16446, 33604, 17516, 16446, 24481, 16446, 32798, 39583, 16582, 16474, 16582, 16581, 17977, 39134, 16446, 45369, 16446, 16699, 22722, 16446, 16699, 16410, 16582, 16581, 17977, 39134, 16446, 45369, 16446, 16699, 19521, 16446, 16699, 16410, 16582, 16581, 17977, 39134, 16446, 45369, 16446, 16699, 20798, 39583, 16446, 16699, 16410, 16582, 16476, 17020, 39134, 16446, 33604, 17516, 16446, 24481, 16446, 32798, 39583, 16410, 16582, 16582, 16398, 16393, 21125, 16719, 16394, 16394, 28874, 16397, 16604, 16393, 16398, 16582, 59324, 18735, 17020, 39134, 16446, 33912, 17873, 16446, 49511, 16582, 16474, 16582, 16581, 17977, 39134, 16446, 49511, 16446, 16699, 19931, 16410, 16582, 16581, 33961, 22551, 16446, 16699, 16410, 16582, 16476, 17020, 39134, 16446, 33912, 17873, 16446, 49511, 16410, 16582, 16582, 16398, 16393, 21125, 16719, 16394, 16394, 28874, 16397, 16604, 16393, 16398, 16582, 59324, 18735, 17020, 39134, 16446, 29660, 16446, 24193, 16582, 16474, 16582, 16581, 33961, 21304, 16410, 16582, 16581, 20658, 16446, 16467, 27125, 16410, 16582, 16581, 20658, 16446, 16467, 18898, 16410, 16582, 16476, 17020, 39134, 16446, 29660, 16446, 24193, 16410, 16582, 16582, 16398, 16393, 21125, 16719, 16394, 16394, 28874, 16397, 16604, 16393, 16398, 16582, 59324, 18735, 17020, 39134, 16446, 26013, 21196, 16446, 27226, 16446, 19886, 17575, 16582, 16474, 16582, 16581, 33961, 17298, 16410, 16582, 16581, 33961, 17291, 16410, 16582, 16581, 33961, 26570, 16410, 16582, 16581, 33961, 18692, 16410, 16582, 16476, 17020, 39134, 16446, 26013, 21196, 16446, 27226, 16446, 19886, 17575, 16410, 16582, 16582, 16398, 16393, 21125, 16719, 16394, 16394, 28874, 16397, 16604, 16393, 16398, 16582, 59324, 18735, 17020, 39134, 16446, 26013, 21196, 16446, 53647, 16446, 38150, 16446, 18292, 16904, 16582, 16474, 16582, 16581, 33961, 20447, 16410, 16582, 16581, 19886, 17401, 16604, 16393, 24650, 21464, 16410, 16582, 16476, 17020, 39134, 16446, 26013, 21196, 16446, 53647, 16446, 38150, 16446, 18292, 16904, 16410, 16582, 16582, 16398, 16393, 16582, 16604, 16393, 17511, 32968, 16734, 17975, 16396, 16418, 16408, 16408, 16884, 35123, 16395, 16944, 16829, 16804, 16807, 16726, 22599, 17217, 16397, 16582, 16604, 16393, 22494, 18961, 24092, 32151, 16884, 35123, 24414, 16811, 16715, 18185, 16395, 16674, 46618, 25116, 20678, 16437, 16396, 35592, 17208, 16703, 18675, 16925, 16582, 16604, 16393, 16815, 16641, 19609, 18898, 16673, 16884, 35123, 16672, 17073, 16719, 53584, 16397, 16582, 16604, 16393, 16398, 16582, 59324, 45186, 17401, 17020, 39134, 16446, 28790, 16410, 16582, 16386, 26912, 25116, 32151, 16446, 57487, 16604, 16391, 16391, 17977, 39134, 16446, 28790, 16392, 16400, 16392, 16582, 16386, 26912, 25116, 32151, 16446, 62579, 16604, 16391, 16391, 17977, 39134, 16446, 28790, 16392, 16399, 16392, 16582, 16582, 59324, 52537, 17020, 39134, 16446, 22380, 16582, 16474, 16582, 16581, 16398, 16393, 30672, 16397, 16604, 16393, 16398, 16582, 16581, 20961, 32151, 16446, 56501, 16604, 16412, 16604, 16399, 16395, 16582, 16582, 16581, 16398, 16393, 16772, 25116, 20678, 16396, 16437, 16704, 32902, 16397, 24780, 16807, 16992, 22043, 16809, 33612, 46618, 16397, 16604, 16393, 16398, 16582, 16581, 20961, 32151, 16446, 31929, 16446, 59358, 16446, 20961, 20678, 16437, 16604, 16412, 16604, 16396, 16400, 16395, 16582, 16582, 16581, 16398, 16393, 16772, 25116, 20678, 16396, 16437, 17699, 16703, 21038, 16785, 32902, 16395, 16850, 25116, 20678, 16437, 16396, 35592, 19333, 19108, 26557, 33394, 16811, 16671, 16912, 18821, 19762, 16397, 16604, 16393, 16398, 16582, 16581, 20961, 32151, 16446, 31929, 16446, 21225, 22173, 57835, 18525, 16446, 20961, 20678, 16437, 16604, 16412, 16604, 16396, 16401, 16395, 16582, 16582, 16581, 16398, 16393, 17426, 16715, 16991, 18188, 16742, 19045, 16811, 16395, 17009, 16785, 16669, 33715, 21431, 16397, 16604, 16393, 16398, 16582, 16581, 20961, 32151, 16446, 31929, 16446, 30058, 16446, 35742, 16446, 55423, 34202, 16604, 16412, 16604, 16396, 16402, 16395, 16582, 16582, 16581, 16398, 16393, 49600, 28874, 21981, 16397, 16604, 16393, 16398, 16582, 16581, 20961, 32151, 16446, 31929, 16446, 59358, 16446, 50344, 63494, 16604, 16412, 16604, 16396, 16403, 16395, 16582, 16582, 16581, 20961, 32151, 16446, 31929, 16446, 27590, 16446, 33363, 16604, 16412, 16604, 16399, 16471, 16406, 27473, 64362, 16582, 16476, 17020, 39134, 16446, 22380, 16410, 16582, 16582, 59324, 52537, 17020, 39134, 16446, 63729, 16446, 29936, 16582, 16474, 16582, 16581, 16398, 16393, 16772, 44846, 16665, 30784, 45738, 16868, 16703, 41485, 16395, 16674, 16647, 22010, 16843, 16703, 16691, 18406, 16671, 18725, 16977, 47077, 28873, 16397, 16604, 16393, 16398, 16582, 16581, 20961, 32151, 16446, 45969, 16435, 27310, 16446, 52713, 16446, 58573, 16440, 16604, 16412, 16604, 16399, 16395, 16582, 16582, 16581, 16398, 16393, 16582, 16581, 16604, 16393, 16772, 45738, 16868, 17178, 16703, 23157, 16809, 16647, 47077, 16397, 16582, 16581, 16604, 16393, 57982, 16446, 16729, 17208, 17178, 16703, 19570, 16641, 19357, 59268, 16674, 17724, 16804, 16703, 17405, 18613, 16397, 16582, 16581, 16604, 16393, 17170, 16704, 29682, 16715, 18980, 16674, 17208, 16703, 16647, 16854, 16396, 16928, 20328, 16397, 16582, 16581, 16604, 16393, 16398, 16582, 16581, 20961, 32151, 16446, 45969, 16435, 27310, 16446, 52713, 16446, 22238, 23876, 16446, 32442, 22697, 16423, 20337, 16604, 16412, 16604, 16400, 16395, 16582, 16582, 16581, 20961, 32151, 16446, 45969, 16435, 27310, 16446, 52713, 16446, 27590, 16446, 33363, 16604, 16412, 16604, 16399, 16471, 16406, 27473, 64362, 16582, 16476, 17020, 39134, 16446, 63729, 16446, 29936, 16410, 16582, 16582, 59324, 52537, 17020, 39134, 16446, 63687, 16582, 16474, 16582, 16581, 16398, 16393, 17170, 57360, 16843, 17097, 17783, 29520, 16395, 17028, 47077, 19943, 16769, 22148, 16397, 42465, 16671, 29053, 16469, 16446, 35874, 16409, 16409, 53807, 16397, 16604, 16393, 16398, 16582, 16581, 20961, 32151, 16446, 48420, 26886, 16446, 58257, 16604, 16412, 16604, 16399, 16395, 16582, 16581, 20961, 32151, 16446, 48420, 26886, 16446, 16422, 24378, 16427, 16604, 16412, 16604, 16400, 16395, 16604, 16398, 16393, 29053, 16469, 16446, 35874, 16409, 16409, 53807, 16422, 24378, 16427, 16604, 16393, 16398, 16582, 16581 ]
[ 0, 63147, 16673, 38030, 16582, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16582, 16582, 20872, 35406, 20053, 16582, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16582, 16582, 20872, 35406, 20053, 27475, 16671, 16998, 16673, 18295, 20286, 16673, 51868, 19134, 16466, 16673, 16647, 50145, 42824, 16395, 16931, 16604, 16408, 16399, 16396, 16396, 16408, 16404, 16388, 16673, 16944, 16769, 53639, 18155, 37106, 29193, 16604, 16391, 16435, 19573, 16392, 16410, 16647, 23063, 16769, 19848, 28625, 18155, 37106, 29193, 16674, 46264, 17139, 25113, 16642, 29193, 16604, 16391, 16442, 16415, 54690, 16404, 16399, 16444, 16392, 16397, 20193, 16987, 16672, 16647, 18303, 24687, 18546, 16604, 16400, 16399, 20464, 16401, 16399, 16399, 17047, 16769, 28378, 16734, 42824, 20053, 16395, 16734, 16604, 16443, 16413, 16403, 16407, 16399, 16399, 25074, 16395, 27659, 16715, 17473, 16604, 16400, 16672, 16604, 16401, 16399, 16673, 16858, 20053, 20606, 45837, 16674, 16604, 16400, 16672, 16604, 16402, 16399, 20053, 25074, 16604, 16391, 16442, 16415, 54690, 16400, 16401, 16444, 16392, 16397, 16875, 34479, 16395, 16647, 18702, 16396, 36904, 17845, 34330, 20627, 19800, 19796, 16647, 16604, 16400, 16408, 16406, 16399, 16466, 16674, 16604, 16400, 16408, 16407, 16399, 16466, 16671, 20378, 16641, 25442, 16672, 16647, 19164, 16604, 16400, 16408, 16407, 16399, 16466, 16395, 20290, 16647, 20246, 16673, 25074, 16807, 23622, 28800, 16672, 18961, 17202, 16604, 16391, 16442, 16415, 54690, 16404, 16399, 16444, 16392, 16397, 16875, 17154, 20158, 19328, 16395, 17789, 20635, 16674, 27207, 16395, 42824, 20053, 16704, 16767, 17965, 17567, 18032, 17827, 27827, 16672, 18130, 17032, 16672, 18102, 16395, 16944, 16872, 16992, 18215, 16741, 30439, 18443, 16671, 17476, 27169, 29637, 16674, 17027, 16667, 31703, 16715, 16667, 43693, 24435, 16604, 16391, 16442, 16415, 54690, 16402, 16408, 16444, 16410, 16604, 16442, 16415, 54690, 16403, 16406, 16444, 16392, 16397, 35275, 16734, 48539, 17975, 16396, 20194, 16688, 40653, 23046, 18018, 16807, 16667, 21748, 50328, 16734, 16604, 16404, 16396, 18673, 25341, 20627, 17415, 16604, 16407, 16399, 16674, 16604, 16408, 16399, 16388, 16395, 25743, 18873, 16734, 25725, 16396, 57348, 23046, 18018, 16807, 16604, 16404, 16396, 18673, 25341, 20627, 16673, 16604, 16443, 16411, 16404, 16399, 16388, 16397, 44412, 16396, 19338, 42824, 20053, 25341, 20627, 16807, 20152, 17238, 17687, 17415, 16647, 19164, 16604, 16400, 16408, 16407, 16399, 16466, 16674, 16647, 19164, 16604, 16400, 16408, 16408, 16399, 16466, 16395, 16734, 18102, 17961, 16641, 35534, 16604, 16405, 16396, 16396, 16400, 16399, 16388, 25341, 21483, 16604, 16391, 16442, 16415, 54690, 16404, 16402, 16444, 16392, 16397, 16582, 16582, 23879, 19831, 16807, 22738, 38508, 16504, 16403, 16399, 24127, 17362, 16396, 34518, 52532, 16604, 16391, 16442, 16415, 54690, 16404, 16405, 16444, 16392, 16397, 26274, 16811, 16395, 16647, 18774, 17415, 17259, 16673, 17213, 52532, 16674, 42824, 20053, 18813, 16704, 31797, 16395, 16734, 19591, 16673, 16641, 18354, 24426, 16715, 16641, 17589, 52532, 16409, 55304, 17045, 16856, 24010, 20676, 16395, 41063, 16765, 39680, 20676, 16674, 43415, 20239, 16395, 61868, 16395, 30969, 20676, 16395, 56989, 20676, 16674, 22622, 24183, 16604, 16391, 16442, 16415, 54690, 16404, 16405, 16444, 16392, 16397, 16582, 16582, 16435, 17080, 28029, 27169, 16674, 43693, 23659, 16671, 55304, 17045, 17462, 16604, 16391, 16416, 17894, 16392, 16769, 17142, 20916, 21958, 18813, 20671, 16715, 42824, 20053, 16395, 16674, 29737, 23659, 16671, 17213, 16872, 16992, 16667, 17889, 40604, 16671, 16647, 23789, 16672, 30174, 16395, 20278, 18493, 18102, 16604, 16391, 16442, 16415, 54690, 16403, 16407, 16444, 16392, 16397, 20305, 16671, 16604, 16403, 16399, 16388, 16673, 16858, 21966, 16674, 16604, 16400, 16399, 16388, 16673, 21379, 19140, 17699, 16703, 16741, 18778, 16925, 16671, 27169, 16604, 16391, 16442, 16415, 54690, 16400, 16401, 16444, 16392, 16410, 16647, 19639, 25591, 16715, 20468, 16709, 26460, 16604, 16391, 16424, 45045, 16392, 16872, 22738, 16721, 16647, 28167, 16673, 19140, 50647, 16671, 39458, 27169, 16672, 17154, 19328, 16704, 16673, 16647, 17970, 16673, 16604, 16404, 16399, 16388, 16672, 18102, 16674, 16604, 16401, 16404, 16388, 16672, 18130, 16604, 16391, 16442, 16415, 54690, 16402, 16399, 16444, 16392, 16397, 16772, 20192, 23699, 16604, 16391, 36718, 16392, 16769, 17473, 16604, 16401, 16396, 16671, 16604, 16403, 16396, 29036, 16604, 16391, 16442, 16415, 54690, 16404, 16400, 16444, 16410, 16604, 16442, 16415, 54690, 16405, 16407, 16444, 16410, 16604, 16442, 16415, 54690, 16400, 16401, 16444, 16392, 16397, 16582, 16582, 48280, 18087, 20053, 16582, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16582, 16582, 17635, 16843, 20430, 16671, 20053, 16673, 16647, 40956, 19487, 17097, 16604, 16391, 16826, 16666, 18155, 46346, 16410, 16778, 19573, 16392, 16785, 16843, 18379, 16647, 17827, 16396, 26674, 38030, 16673, 16647, 40956, 28857, 19379, 16395, 46908, 16737, 16674, 16977, 17975, 16396, 19295, 35406, 50145, 34600, 17274, 16741, 16647, 46908, 16757, 16735, 16604, 16391, 21527, 19297, 18155, 46346, 16410, 16700, 19573, 16392, 16397, 33138, 18087, 16700, 19573, 16466, 16769, 24124, 19970, 16734, 42824, 38030, 16604, 16391, 16442, 16415, 54690, 16404, 16399, 16444, 16392, 16397, 21604, 16647, 34330, 16673, 33212, 38030, 16872, 19800, 16672, 53354, 17060, 27319, 16395, 16778, 19573, 16872, 19800, 16922, 26079, 17032, 16700, 19573, 16397, 19253, 18102, 16769, 22499, 17032, 18130, 16395, 16674, 17154, 19140, 19947, 16672, 16647, 18702, 18898, 16673, 16604, 16404, 16399, 16396, 16396, 16406, 16399, 17202, 16604, 16391, 16442, 16415, 54690, 16404, 16399, 16444, 16392, 16397, 16772, 18514, 16396, 18673, 16778, 19573, 25341, 18960, 16704, 19333, 16931, 16604, 16404, 16399, 16388, 16395, 16850, 16980, 27024, 18334, 18010, 17123, 16703, 16604, 16443, 16413, 16407, 16399, 16388, 16397, 19376, 18346, 16395, 30174, 16674, 25341, 20627, 16715, 33212, 20053, 16672, 20407, 23542, 16769, 16672, 16647, 19712, 20352, 16673, 16647, 19364, 18898, 16604, 16391, 16442, 16415, 54690, 16404, 16399, 16444, 16392, 16397, 16719, 16716, 35250, 27169, 16704, 16647, 17154, 17204, 16396, 45613, 18813, 21348, 19970, 16734, 16778, 19573, 16674, 20278, 16700, 19573, 16395, 16850, 16977, 18813, 20671, 16395, 16944, 18379, 18370, 20007, 16395, 22888, 16395, 17036, 16396, 42138, 33212, 20062, 16674, 25998, 19049, 16656, 22709, 16395, 16807, 16992, 21766, 16604, 16391, 16442, 16415, 54690, 16403, 16399, 16444, 16392, 16397, 16582, 16582, 24346, 33212, 20053, 16704, 16804, 20698, 19570, 16671, 16703, 21897, 29116, 19970, 16395, 43693, 23969, 16398, 17345, 46325, 31812, 19970, 16734, 16778, 19573, 18379, 55915, 16395, 16937, 16863, 20602, 16462, 50060, 16604, 16391, 21512, 16420, 16392, 16395, 16640, 36120, 41434, 16462, 50060, 16395, 20932, 28501, 16675, 55304, 22960, 65467, 16604, 16391, 21101, 16423, 16392, 16395, 35413, 19312, 26128, 16604, 16391, 16419, 22217, 16392, 16395, 21377, 35801, 16604, 16391, 16452, 16397, 16454, 16397, 16395, 35285, 16460, 17997, 16395, 17474, 16392, 16395, 20932, 41434, 20092, 33312, 38134, 16466, 16395, 58775, 19378, 16395, 19748, 59013, 16674, 40429, 16398, 41292, 16744, 22667, 16604, 16391, 16442, 16415, 54690, 16401, 16401, 16444, 16392, 16397, 49760, 32345, 16715, 53639, 18155, 37106, 29193, 16673, 16647, 33212, 46797, 17310, 16715, 42824, 20053, 16604, 16391, 16442, 16415, 54690, 16403, 16399, 16444, 16392, 16674, 18379, 22728, 16671, 16670, 25019, 16785, 23428, 16672, 30969, 16674, 35093, 24010, 16397, 17960, 23322, 16673, 16647, 40956, 28857, 19379, 16674, 46908, 16737, 16807, 17027, 16992, 19970, 16734, 23659, 16671, 24224, 16398, 17435, 16749, 16395, 19588, 20074, 16674, 33822, 38994, 16395, 16785, 23428, 16672, 22269, 27604, 16395, 23083, 16674, 25066, 16395, 22635, 16674, 45344, 59013, 26212, 16604, 16391, 16442, 16415, 54690, 16402, 16405, 16444, 16392, 16397, 16582, 16582, 41751, 16582, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16582, 16582, 59744, 17194, 18813, 20671, 16582, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16582, 16582, 16386, 16386, 16386, 19859, 16604, 16400, 16674, 16604, 16401, 16416, 18206, 37106, 42032, 16582, 16582, 16853, 23969, 16721, 16647, 16687, 45045, 16872, 30103, 16741, 18422, 39624, 16604, 16391, 23535, 16604, 16400, 16392, 16785, 38438, 16604, 16391, 23535, 16604, 16401, 16416, 16392, 18206, 37106, 42032, 16715, 50145, 38030, 16769, 31188, 17845, 16672, 16604, 16442, 22224, 16604, 16400, 16444, 16391, 16386, 16467, 19295, 16400, 16392, 16474, 18452, 16396, 18926, 16412, 16385, 22246, 16385, 16476, 16397, 16772, 16687, 45045, 16872, 16804, 21766, 16998, 22688, 16721, 16704, 18545, 16671, 17490, 33212, 16674, 42824, 38030, 16397, 59935, 16715, 33212, 20053, 18379, 16985, 16672, 58775, 19378, 16604, 16391, 23535, 16604, 16400, 16392, 16674, 23659, 16671, 16700, 21610, 16604, 16391, 23535, 16604, 16401, 16416, 16392, 16397, 17544, 42824, 20053, 16395, 17213, 18379, 33822, 38994, 16604, 16391, 23535, 16604, 16400, 16392, 16395, 19538, 38564, 22634, 16604, 16391, 23535, 16604, 16400, 16392, 16395, 42180, 27957, 22634, 16604, 16391, 23535, 16604, 16400, 16392, 16395, 56989, 19378, 16604, 16391, 23535, 16604, 16400, 16392, 16395, 16985, 16741, 16641, 39216, 16604, 16391, 23535, 16604, 16400, 16392, 16395, 16985, 16672, 16647, 33487, 18797, 16604, 16391, 23535, 16604, 16400, 16392, 16395, 27977, 16674, 35093, 22634, 16398, 20785, 17349, 16604, 16391, 23535, 16604, 16400, 16392, 16395, 23659, 16671, 16711, 17894, 16604, 16391, 23535, 16604, 16400, 16398, 16401, 16416, 16392, 16395, 25719, 16423, 16466, 16604, 16391, 23535, 16604, 16400, 16398, 16401, 16416, 16392, 16395, 16759, 22217, 16604, 16391, 23535, 16604, 16401, 16416, 16392, 16395, 16985, 16741, 64038, 17001, 16756, 16674, 18740, 17677, 16604, 16391, 23535, 16604, 16401, 16416, 16392, 16395, 47950, 17099, 16672, 23939, 16674, 33487, 24010, 16604, 16391, 23535, 16604, 16401, 16416, 16392, 16674, 45344, 59013, 16604, 16391, 23535, 16604, 16401, 16416, 16392, 16397, 16582, 16582, 57498, 16673, 19831, 20557, 18813, 25500, 16715, 50145, 34472, 38030, 16582, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16582, 16582, 25768, 23376, 23446, 16673, 43693, 18813, 21348, 19831, 21766, 16715, 50145, 34472, 20053, 16769, 19194, 16672, 16647, 21646, 19218, 16674, 26880, 24024, 16604, 16391, 16423, 19890, 16392, 21975, 20369, 16604, 16391, 16442, 16415, 54690, 16401, 16400, 16444, 16395, 20464, 16442, 16415, 54690, 16401, 16401, 16444, 16392, 16397, 16582, 16582, 59744, 17194, 52695, 19570, 16715, 42824, 20053, 16582, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16582, 16582, 16386, 16386, 16386, 17385, 24276, 17997, 19378, 16582, 16582, 16853, 60750, 23659, 16672, 56989, 22634, 16704, 16671, 25719, 16423, 16466, 16395, 16674, 20781, 17310, 18055, 16672, 16811, 18797, 16868, 16703, 19570, 18493, 16647, 25500, 16715, 25719, 16423, 16466, 16397, 21604, 17362, 23699, 16673, 42824, 20053, 16807, 16992, 19074, 16715, 17310, 18055, 16672, 16647, 56989, 18797, 16395, 16647, 43877, 17225, 22688, 16391, 16466, 16392, 16704, 24472, 16785, 16819, 17491, 17281, 16604, 16391, 16442, 16415, 54690, 16402, 16400, 16444, 16392, 16397, 20361, 16673, 17213, 20676, 16958, 63924, 24810, 16671, 56989, 25891, 16395, 16785, 16662, 24354, 23858, 16977, 18365, 37106, 42032, 17274, 16741, 32381, 25752, 16785, 25719, 16423, 16466, 16397, 16772, 25719, 16423, 52695, 21187, 59031, 16815, 16647, 16971, 62262, 16673, 23070, 33781, 21024, 17405, 16672, 16647, 24340, 47424, 17650, 16604, 16391, 16442, 16415, 54690, 16401, 16405, 16444, 16395, 20464, 16442, 16415, 54690, 16401, 16406, 16444, 16395, 20464, 16442, 16415, 54690, 16401, 16407, 16444, 16392, 16397, 17544, 16641, 16922, 24632, 25698, 16673, 16647, 19831, 36216, 16395, 20430, 16671, 16647, 21646, 16751, 19890, 21975, 17556, 16604, 16391, 16442, 16415, 54690, 16401, 16400, 16444, 16392, 16397, 24792, 20698, 17556, 16721, 16647, 34330, 16673, 42824, 20053, 16704, 19800, 16672, 16811, 18797, 16395, 16850, 17608, 16604, 16400, 16408, 16407, 16399, 16986, 16872, 16992, 16641, 41219, 23725, 16672, 34330, 16397, 22494, 19831, 16672, 20242, 26157, 16667, 23659, 16396, 16396, 25957, 18774, 16397, 16875, 16641, 19590, 17843, 16396, 16396, 28420, 18077, 16673, 16604, 16407, 16399, 61479, 48839, 17002, 20053, 19140, 16395, 16986, 16763, 16667, 18546, 50042, 16673, 16647, 18813, 18493, 17310, 19423, 16672, 56989, 59013, 16398, 20875, 16744, 17230, 16604, 16391, 16442, 16415, 54690, 16405, 16400, 16444, 16392, 16397, 16582, 16582, 16386, 16386, 16386, 16711, 16787, 17957, 17045, 17462, 16582, 16582, 35732, 23659, 16671, 16711, 17894, 16872, 16992, 19970, 16734, 16667, 19800, 18813, 16673, 42824, 20053, 16395, 16850, 16914, 17231, 16872, 20726, 17172, 16673, 16914, 23295, 16674, 20936, 18020, 16397, 19845, 16396, 45613, 43693, 22556, 16673, 42824, 20053, 18379, 16647, 16711, 17894, 16604, 16401, 16396, 16461, 23875, 16757, 18161, 27957, 16604, 16391, 16393, 28580, 16393, 16396, 16461, 23875, 16757, 18161, 27957, 16392, 16395, 57401, 41768, 16395, 16604, 16403, 16396, 22390, 17080, 16919, 38134, 16674, 32907, 23875, 21795, 16604, 16391, 16442, 16415, 54690, 16402, 16400, 16444, 16410, 16604, 16442, 16415, 54690 ]
[ 0, 38194, 16604, 16474, 16386, 16434, 16400, 16476, 16582, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16582, 16582, 16853, 22228, 16673, 16647, 26987, 21454, 16673, 35705, 16671, 22365, 24708, 16641, 18821, 16673, 20100, 16674, 39224, 28759, 16674, 16773, 16450, 47656, 39043, 16604, 16391, 16421, 16450, 27381, 16433, 16392, 16709, 26709, 19487, 16604, 16391, 16442, 16415, 16417, 16400, 16444, 16392, 16704, 19333, 16922, 16674, 16922, 23611, 16672, 20010, 24139, 16397, 17544, 20053, 38094, 17655, 27242, 30634, 35705, 16395, 18354, 17717, 16658, 22072, 16769, 25704, 16604, 16391, 16442, 16415, 16417, 16401, 16444, 16392, 16397, 45432, 23575, 16807, 16992, 46385, 16671, 24339, 35705, 16721, 16769, 16922, 20176, 17032, 20909, 16396, 18926, 18206, 53698, 16400, 16704, 29450, 16604, 16391, 16442, 16415, 16417, 16402, 16444, 16392, 16397, 18708, 18379, 16662, 35412, 16734, 26227, 31184, 16674, 23269, 16964, 16673, 35857, 16721, 24187, 17952, 16642, 17186, 16671, 16773, 16450, 27381, 16433, 16397, 48512, 64412, 16673, 17274, 36101, 16704, 16647, 25651, 16673, 20702, 24813, 31018, 32607, 29776, 16721, 16843, 17539, 16672, 20381, 16396, 56304, 35705, 16721, 17123, 26834, 17356, 16647, 20632, 16397, 17170, 16843, 16703, 64151, 16665, 16809, 17655, 17975, 16396, 23199, 16720, 31018, 19588, 30823, 16395, 17494, 16672, 16858, 20470, 16397, 16772, 46555, 17757, 16675, 28593, 16673, 16811, 17936, 16769, 29921, 17435, 16396, 31708, 18076, 53698, 16400, 35705, 17714, 16662, 17495, 17040, 16734, 32718, 16773, 16450, 27381, 16433, 27101, 16448, 17952, 16642, 17186, 16604, 16391, 16442, 16415, 16417, 16403, 16444, 16395, 16604, 16442, 16415, 16417, 16404, 16444, 16392, 16395, 16944, 16807, 18022, 17494, 17073, 17210, 16671, 31624, 35705, 16709, 16647, 17869, 16604, 16391, 16442, 16415, 16417, 16405, 16444, 16392, 16397, 16582, 16582, 17635, 16662, 17495, 17040, 45865, 16704, 17015, 16673, 16641, 51409, 29921, 21156, 16709, 16741, 17603, 28002, 16604, 16401, 16408, 16406, 16672, 16647, 16773, 16450, 24020, 16673, 24813, 46765, 27146, 16642, 16796, 16604, 16391, 53848, 16422, 16392, 16397, 17170, 29921, 21156, 16704, 17889, 16715, 16647, 16951, 25953, 16936, 20189, 16673, 16647, 16773, 16450, 17015, 16395, 17608, 17073, 27489, 16836, 22884, 17099, 26570, 16673, 16773, 16450, 27381, 16433, 16674, 16719, 16400, 16464, 16674, 27626, 16647, 34567, 16390, 16466, 17717, 16658, 22072, 16604, 16391, 16442, 16415, 16417, 16406, 16444, 16396, 16396, 16442, 16415, 16417, 16408, 16444, 16392, 16397, 16875, 18150, 16671, 30313, 16647, 16773, 16450, 20189, 16674, 28065, 24702, 16809, 17213, 17717, 16658, 31184, 16395, 16647, 16773, 16450, 16396, 41160, 21156, 17027, 28189, 26570, 16671, 16773, 16450, 27381, 16433, 27101, 16448, 16674, 16773, 16450, 27381, 16433, 27101, 16449, 17181, 16641, 29921, 21156, 16396, 16396, 41160, 21156, 24375, 16604, 16391, 16442, 16415, 16417, 16400, 16399, 16444, 16395, 16604, 16442, 16415, 16417, 16400, 16400, 16444, 16392, 16397, 17170, 16704, 17172, 16673, 16641, 19857, 29921, 21156, 17494, 16672, 18206, 16773, 16450, 27381, 16433, 27101, 16448, 16674, 16773, 16450, 27381, 16433, 27101, 16449, 16767, 18583, 16604, 16400, 16405, 16401, 16721, 59168, 20206, 16734, 16647, 16773, 16450, 16396, 41160, 21156, 17989, 16647, 53698, 16396, 16421, 16450, 40817, 16604, 16391, 16442, 16415, 16417, 16400, 16400, 16444, 16392, 16397, 16582, 16582, 16853, 16793, 16401, 16408, 16406, 29921, 21156, 16704, 16641, 18783, 16396, 16795, 17846, 16936, 19680, 29921, 21156, 28414, 16673, 16641, 22551, 17015, 16734, 16641, 21554, 31291, 16673, 16604, 16393, 16429, 16393, 16396, 16861, 51542, 41160, 22287, 16707, 17462, 16674, 16947, 16461, 21243, 16674, 16843, 16703, 17494, 16672, 18206, 33651, 16734, 24579, 19415, 16673, 21554, 16662, 17495, 17040, 16395, 25235, 16892, 16661, 16604, 16393, 16429, 16393, 16396, 16861, 51542, 41160, 22287, 27957, 16395, 25398, 16935, 17040, 16395, 16674, 27756, 16648, 17002, 16675, 32245, 16604, 16391, 16442, 16415, 16417, 16400, 16401, 16444, 16392, 16397, 16772, 16793, 16396, 41160, 64728, 16673, 18804, 33651, 16398, 16938, 28122, 53698, 25438, 16709, 19183, 16673, 17362, 16662, 17495, 17040, 19415, 16604, 16391, 16408, 16404, 16388, 16392, 16395, 18229, 16660, 17146, 16839, 16604, 16391, 16400, 16404, 16388, 16392, 16395, 33656, 19415, 16673, 25398, 16935, 17040, 16604, 16391, 16403, 16404, 16388, 16392, 16395, 16674, 18229, 16648, 17002, 16675, 22363, 16604, 16391, 16400, 16399, 16388, 16392, 16604, 16391, 16442, 16415, 16417, 16400, 16401, 16444, 16392, 16397, 16772, 24579, 26724, 16673, 16647, 29921, 64728, 24801, 16671, 16767, 17965, 16604, 16401, 16399, 17476, 29921, 17435, 34862, 16604, 16391, 16448, 17902, 17405, 17348, 16671, 23467, 16917, 19857, 29921, 21156, 22332, 16392, 16715, 17492, 53698, 17242, 19336, 17255, 17494, 16672, 33651, 16395, 16734, 16604, 16443, 16477, 16407, 16673, 17007, 27659, 16715, 16604, 16408, 16399, 16388, 16673, 16647, 18804, 33620, 16604, 16391, 16442, 16415, 16417, 16400, 16401, 16444, 16392, 16397, 16772, 25989, 16673, 18804, 53698, 29921, 22287, 61227, 16843, 17928, 19028, 18244, 24157, 16395, 17187, 25398, 16935, 16786, 61227, 16674, 16648, 17002, 61227, 19031, 16734, 26624, 16604, 16391, 16442, 16415, 16417, 16400, 16401, 16444, 16395, 16604, 16442, 16415, 16417, 16400, 16402, 16444, 16392, 16397, 40012, 16672, 18804, 53698, 16769, 17027, 21852, 16672, 19001, 21903, 24157, 16395, 16734, 16641, 18229, 17743, 16673, 25398, 16935, 16786, 61227, 16674, 16648, 17002, 61227, 19970, 17490, 16734, 20209, 18702, 16674, 53790, 24720, 16604, 16391, 16442, 16415, 16417, 16400, 16401, 16444, 16396, 16396, 16442, 16415, 16417, 16400, 16404, 16444, 16392, 16397, 16582, 16582, 17507, 16674, 18208, 16807, 19628, 16721, 53698, 16396, 16421, 16450, 29921, 22287, 61227, 19029, 16673, 44981, 16396, 27044, 53698, 16843, 19947, 16721, 53308, 16734, 20062, 24637, 16604, 16391, 16442, 16415, 16417, 16400, 16405, 16444, 16396, 16396, 16442, 16415, 16417, 16401, 16399, 16444, 16392, 16397, 17170, 19497, 17490, 23968, 16396, 16674, 16858, 16462, 46371, 27821, 16395, 17789, 49242, 64622, 26709, 57988, 25908, 21635, 49592, 16604, 16391, 16421, 19753, 18317, 16392, 16395, 26709, 57988, 25908, 21635, 49592, 16395, 16674, 28215, 19465, 19828, 20062, 16673, 16647, 57437, 16674, 40868, 16604, 16391, 26997, 46657, 16392, 16604, 16391, 16442, 16415, 16417, 16400, 16405, 16444, 16396, 16396, 16442, 16415, 16417, 16400, 16407, 16444, 16395, 16604, 16442, 16415, 16417, 16401, 16400, 16444, 16395, 16604, 16442, 16415, 16417, 16401, 16401, 16444, 16392, 16397, 16875, 18343, 16395, 16742, 16807, 17494, 16721, 26709, 24739, 17647, 18901, 19546, 18155, 16604, 16391, 16433, 19634, 16392, 16674, 23735, 23768, 16395, 18422, 17333, 16453, 18406, 16785, 17560, 26624, 16395, 16843, 16703, 29781, 16734, 21408, 18229, 16662, 17495, 17040, 16604, 16391, 19671, 16671, 16604, 16400, 16399, 16388, 16392, 16395, 17362, 25398, 16935, 17040, 16604, 16391, 16825, 16671, 16604, 16407, 16399, 16388, 16392, 16395, 16674, 32718, 16648, 17002, 61227, 19415, 16604, 16391, 16443, 16477, 16402, 16404, 16388, 16392, 16397, 18485, 17696, 16395, 35473, 16773, 16450, 16396, 16453, 17495, 16786, 61227, 16604, 16391, 16442, 16415, 16417, 16400, 16406, 16444, 16395, 16604, 16442, 16415, 16417, 16401, 16400, 16444, 16392, 16395, 16850, 17027, 32718, 16773, 16450, 16396, 23896, 16935, 16786, 61227, 16604, 16391, 16442, 16415, 16417, 16400, 16407, 16444, 16392, 16395, 20749, 16671, 53308, 16734, 32718, 19546, 18155, 27673, 16395, 35998, 16673, 61678, 16785, 34088, 16715, 16778, 19634, 16466, 16674, 23735, 23768, 16395, 22358, 16397, 48538, 16647, 19800, 54624, 28301, 19970, 16734, 35473, 16662, 17495, 16786, 61227, 17120, 16703, 22360, 16809, 16647, 23526, 32718, 16773, 16450, 27381, 16433, 27101, 16448, 16674, 16398, 16658, 16773, 16450, 27381, 16433, 27101, 16449, 19962, 16604, 16391, 16442, 16415, 16417, 16400, 16406, 16444, 16395, 16604, 16442, 16415, 16417, 16401, 16402, 16444, 16392, 16395, 16647, 25201, 20541, 16396, 16396, 16396, 16736, 16998, 16396, 16396, 16396, 61907, 16647, 24426, 16734, 32718, 25398, 16935, 16786, 61227, 23622, 16901, 63555, 16397, 16582, 16582, 16853, 17717, 16673, 16773, 16450, 16396, 16449, 17146, 16839, 16674, 16604, 16396, 16466, 17002, 61227, 16709, 18206, 16773, 16450, 27381, 16433, 26570, 16395, 16980, 16998, 16395, 16872, 16992, 23954, 16672, 17199, 17827, 18686, 16395, 20290, 26570, 16671, 16647, 18206, 16773, 16450, 27381, 16433, 27101, 16448, 17257, 16804, 17672, 16671, 16703, 22499, 16809, 16648, 17002, 61227, 16604, 16391, 16442, 16415, 16417, 16401, 16403, 16444, 16392, 16397, 26743, 17213, 29921, 21156, 19029, 21449, 26570, 16671, 16719, 16400, 16464, 16395, 16674, 26230, 28759, 29304, 16395, 16872, 16804, 16992, 23954, 16672, 18686, 16604, 16391, 16442, 16415, 16417, 16401, 16404, 16444, 16395, 16604, 16442, 16415, 16417, 16401, 16405, 16444, 16392, 16397, 16711, 64412, 16673, 16858, 17213, 19831, 16704, 16721, 16647, 19032, 16673, 16647, 29921, 21156, 19029, 16763, 23954, 21910, 17097, 18403, 17291, 19318, 16395, 17714, 30900, 16647, 23384, 16721, 16647, 20409, 16673, 16647, 16977, 29921, 21156, 19029, 17123, 16807, 16667, 17717, 16709, 16647, 34567, 17717, 16658, 22072, 16397, 16582, 16582, 16853, 29312, 16673, 16647, 29921, 21156, 16396, 57083, 18199, 22012, 17065, 16914, 26987, 37024, 21408, 18882, 16397, 34617, 25365, 16807, 23540, 16641, 29857, 16673, 21365, 29921, 17435, 34862, 16674, 23679, 26570, 16671, 17015, 16673, 16647, 16773, 16450, 27381, 16433, 16396, 16644, 16874, 44888, 16395, 16850, 16641, 33444, 19335, 16715, 16858, 18230, 29921, 21156, 19029, 16674, 17717, 16658, 35853, 18619, 16395, 16773, 16450, 27381, 44215, 16674, 28759, 16395, 16872, 17579, 16992, 24086, 16604, 16391, 16442, 16415, 16417, 16401, 16403, 16444, 16395, 16604, 16442, 16415, 16417, 16401, 16405, 16444, 16396, 16396, 16442, 16415, 16417, 16402, 16399, 16444, 16392, 16397, 17170, 17624, 17120, 18288, 16647, 25412, 16672, 18055, 27287, 16673, 53698, 16396, 19338, 27204, 16674, 17823, 27759, 21903, 25416, 16673, 16647, 19962, 16673, 24127, 54098, 35705, 17274, 16741, 16672, 16773, 19753, 18317, 16674, 26015, 46657, 16397, 17119, 16807, 16395, 20821, 16395, 20140, 16641, 17280, 16673, 29921, 17435, 16396, 54745, 21194, 16944, 22365, 26148, 16917, 16673, 16647, 16793, 16396, 41160, 21156, 17291, 19318, 16604, 16391, 16442, 16415, 16417, 16402, 16400, 16444, 16392, 16674, 16672, 16647, 17875, 18077, 16742, 22722, 17213, 19349, 16671, 18725, 16604, 16401, 16399, 17476, 19588, 29921, 17435, 34862, 16671, 47454, 26426, 17007, 16734, 19130, 16671, 16773, 16450, 27381, 16433, 26570, 16395, 34567, 16396, 32435, 31395, 59555, 62586, 16604, 16391, 19240, 19573, 16392, 16395, 28759, 26570, 16395, 16674, 29304, 16397, 16582, 16582, 65433, 16674, 33486, 16604, 16474, 16386, 16434, 16401, 16476, 16582, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16582, 16582, 35732, 20586, 18716, 16604, 16474, 16386, 16434, 16401, 16396, 16400, 16476, 16582, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16582, 16582, 22194, 28901, 16666, 19546, 16815, 34047, 16395, 21374, 26863, 16763, 21715, 16734, 24608, 16395, 19517, 26535, 16672, 25828, 16734, 28140, 24055, 16397, 17170, 18077, 16763, 22782, 16809, 16647, 19512, 35318, 63951, 34304, 20738, 16672, 25828, 16734, 16647, 41504, 16673, 53175, 16397, 16582, 16582, 16423, 16934, 35631, 17521, 19546, 23375, 16958, 17405, 16715, 32225, 16673, 36938, 19546, 17334, 16645, 30422, 19487, 16604, 16391, 55152, 24147, 16466, 16392, 16785, 16778, 19634, 16466, 16397, 49177, 18155, 32225, 16763, 17097, 20888, 16734, 19546, 16815, 17204, 16396, 18511, 36722, 16665, 35072, 16929, 16829, 16804, 21398, 16773, 16450, 27381, 16433, 19311, 16450, 16604, 16391, 16442, 16415, 16417, 16402, 16401, 16444, 16392, 16671, 40128, 16998, 18230, 19938, 16673, 16811, 32174, 16397, 19641, 16768, 16763, 21715, 16809, 22764, 19546, 17714, 18241, 19689, 16750, 16748, 17575, 16671, 17055, 16750, 21663, 16715, 16604, 16400, 20464, 16455, 16767, 18392, 21452, 16604, 16391, 31729, 16392, 16674, 30383, 16647, 18445, 38573, 16795, 17135, 52220, 16725, 16767, 16604, 16408, 16404, 16399, 20464, 30070, 20464, 16393, 16454, 16393, 16715, 16604, 16400, 16399, 20464, 17784, 16397, 19641, 16768, 16673, 17567, 17476, 26863, 16763, 22722, 16671, 18725, 16641, 33651, 22341, 16397, 16582, 16582, 50554, 17407, 16674, 17143, 16750, 16988, 16604, 16474, 16386, 16434, 16401, 16396, 16401, 16476, 16582, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16582, 16582, 16393, 16420, 45131, 16863, 16915, 44599, 16393, 28460, 41750, 16404, 19766, 16763, 17405, 16715, 58549, 23642, 16985, 16397, 24672, 57442, 17291, 57609, 17779, 16395, 23642, 34795, 40665, 16958, 21715, 16815, 36808, 22019, 32506, 35299, 16604, 16391, 16438, 17338, 16707, 16395, 24636, 16395, 21119, 16392, 16397, 16830, 20490, 57609, 61359, 16958, 21715, 16815, 27890, 16808, 16604, 16391, 54998, 22019, 32506, 35299, 16392, 16785, 45578, 23642, 30358, 16604, 16391, 16418, 23417, 19976, 16395, 41758, 16395, 21119, 16392, 16397, 16582, 16582, 53848, 16422, 16400, 43962, 41924, 45336, 16466, 16604, 16474, 16386, 16434, 16401, 16396, 16402, 16476, 16582, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16582, 16582, 40783, 16604, 16391, 16437, 16392, 24507, 16715, 20381, 16396, 29756, 25999, 16419, 16604, 16391, 26104, 16396, 16419, 39850, 16604, 16400, 16408, 16416, 16400, 16399, 16392, 21377, 16674, 18109, 22835, 16958, 20441, 19939, 16815, 16641, 18494, 18206, 16738, 18155, 16815, 16641, 24068, 24813, 17521, 35155, 16604, 16391, 16442, 16415, 16417, 16402, 16402, 16444, 16392, 16397, 16711, 18494, 16396, 50559, 27280, 23858, 20381, 16396, 16419, 16785, 20381, 16396, 16435, 34141, 53698, 16400, 21377, 16396, 16674, 16822, 29111, 18109, 16396, 27704, 16396, 52397, 29886, 16958, 16950 ]
[ 0, 16853, 17875, 23075, 30445, 16671, 16667, 47592, 38206, 16785, 36391, 16395, 20278, 16641, 38206, 16715, 17231, 16672, 20932, 17452, 18651, 16396, 16928, 16396, 46528, 49001, 44052, 16674, 16641, 36391, 16715, 28754, 44459, 30877, 16397, 16582, 34201, 16756, 16769, 18143, 17405, 16741, 16667, 17131, 50501, 16672, 22332, 16734, 16641, 19492, 50501, 49001, 16672, 17970, 16671, 20449, 26375, 44052, 17415, 17142, 49444, 17366, 16815, 17476, 21024, 16397, 18483, 18343, 19617, 16715, 17274, 58767, 16704, 16672, 44052, 22077, 30877, 16671, 17448, 16851, 50978, 30877, 16397, 18946, 16851, 25590, 16396, 16928, 16396, 46528, 44052, 16704, 35024, 16671, 22660, 21958, 19527, 16672, 17259, 23295, 16674, 36897, 52526, 16397, 17544, 18185, 16395, 17259, 19312, 39127, 52526, 16721, 18160, 17448, 16851, 25590, 16396, 16928, 16396, 46528, 44052, 21005, 43205, 16672, 17970, 16671, 19529, 16672, 37551, 16661, 16673, 44479, 16673, 16647, 19312, 16397, 18708, 25727, 16396, 37531, 19312, 39127, 20988, 16769, 17255, 24810, 16671, 24280, 17362, 26809, 17274, 16721, 16647, 17448, 16851, 25590, 16396, 16928, 16396, 46528, 49001, 29097, 17989, 16647, 61659, 16769, 17255, 24810, 16671, 17238, 17362, 21452, 25727, 28324, 16397, 21414, 17448, 16851, 25590, 16396, 16928, 16396, 46528, 52526, 16395, 20278, 17310, 33566, 16672, 41152, 21003, 16395, 16769, 39503, 24810, 16671, 21024, 16721, 21005, 17496, 19846, 16802, 55221, 16785, 16977, 17496, 19846, 16802, 21024, 16721, 17123, 17114, 16671, 16774, 27480, 16647, 17448, 16851, 25590, 16396, 16928, 16396, 46528, 49001, 22106, 16397, 16582, 17071, 18109, 16673, 16647, 20209, 24055, 21370, 39320, 25190, 28937, 16604, 16391, 16437, 20523, 16392, 16395, 16647, 17231, 16673, 20839, 43354, 16396, 31646, 35692, 17447, 16704, 21638, 16922, 37233, 16397, 40303, 16395, 16986, 16704, 18650, 24036, 16985, 16671, 17460, 17969, 16396, 31646, 59376, 16397, 17544, 18185, 16395, 16876, 16397, 16434, 16397, 19394, 16397, 17933, 16397, 16604, 16403, 16395, 16400, 16405, 16406, 16395, 16404, 16399, 16399, 25684, 16667, 47592, 49001, 25989, 16721, 19497, 16641, 17969, 16396, 20129, 24174, 17268, 17028, 23508, 16844, 38908, 16395, 16641, 37183, 17416, 35155, 16674, 17969, 16397, 16711, 46104, 16785, 17969, 16396, 31646, 58767, 16769, 18365, 16674, 20101, 16672, 16876, 16397, 16434, 16397, 19394, 16397, 51199, 16397, 16604, 16404, 16395, 16401, 16399, 16399, 16395, 16403, 16404, 16404, 16674, 16604, 16404, 16395, 16400, 16405, 16401, 16395, 16400, 16404, 16405, 16395, 16850, 16873, 16807, 19001, 53209, 19739, 16671, 43354, 16396, 31646, 58767, 16397, 17544, 18185, 16395, 16728, 16704, 34203, 16671, 19077, 16647, 21958, 23759, 18980, 16673, 47592, 17448, 16851, 25590, 16396, 16928, 16396, 46528, 52354, 58767, 16721, 18379, 20932, 22141, 18161, 22712, 16396, 16684, 24856, 17521, 22833, 20673, 38908, 50270, 16942, 16604, 16391, 19914, 16876, 16397, 16434, 16397, 19394, 16397, 17933, 16397, 16604, 16404, 16395, 16401, 16399, 16399, 16395, 16403, 16404, 16404, 16392, 17014, 17405, 16734, 18244, 17889, 49001, 19492, 17435, 17876, 16397, 18946, 16851, 25590, 16396, 16928, 16396, 46528, 58767, 16721, 18379, 22833, 20673, 16941, 17407, 26552, 16815, 17969, 52948, 22833, 20673, 17036, 30583, 17035, 16769, 17027, 18365, 16604, 16391, 19914, 16876, 16397, 16434, 16397, 19394, 16397, 17933, 16397, 16604, 16404, 16395, 16400, 16405, 16401, 16395, 16400, 16404, 16405, 16392, 16850, 17213, 25873, 16815, 61206, 16721, 19650, 16914, 17231, 16671, 17510, 28456, 16395, 44116, 37116, 22278, 16397, 24464, 17255, 24838, 16786, 16688, 16395, 22278, 22257, 16815, 17969, 52948, 22833, 20673, 16941, 17407, 20903, 16671, 16691, 16396, 42157, 16469, 16758, 17014, 24810, 16671, 17969, 16397, 16772, 19419, 16673, 16647, 17969, 16843, 16703, 16667, 47592, 19492, 50501, 21627, 16671, 16647, 18435, 16397, 29421, 16673, 16647, 47592, 19492, 50501, 25167, 16763, 17786, 17915, 16647, 18435, 22257, 16815, 16647, 17969, 52948, 22833, 20673, 38908, 16397, 16875, 18150, 16395, 17274, 22278, 28994, 17238, 20236, 23759, 16671, 17496, 19846, 16802, 43205, 16397, 16582, 23494, 18234, 19970, 16734, 16647, 44052, 16673, 17448, 16851, 25590, 16671, 22077, 30445, 16671, 17036, 16396, 16643, 17160, 16785, 17036, 16396, 16449, 17270, 16673, 16647, 34515, 49001, 19421, 16671, 44052, 16397, 16772, 22077, 29386, 22484, 16704, 45335, 16734, 16647, 49001, 16395, 16647, 49001, 16704, 34515, 16674, 17177, 16647, 49001, 16396, 61750, 22077, 29386, 16704, 21568, 16672, 16641, 32100, 16397, 18946, 16851, 25590, 17177, 16704, 22204, 17065, 16647, 32100, 16674, 54285, 16671, 16647, 22077, 29386, 17560, 23599, 21156, 17873, 16673, 16647, 17448, 16851, 25590, 16397, 16772, 54285, 17015, 16704, 22111, 16815, 16647, 32100, 16674, 16647, 17718, 22077, 29386, 16704, 21568, 16672, 16647, 32100, 16397, 18196, 16811, 26230, 22077, 29386, 16704, 21568, 16672, 16647, 32100, 16728, 16704, 35024, 16671, 16647, 21338, 35378, 16672, 16647, 32100, 16815, 16647, 18722, 64088, 21361, 16397, 16772, 34515, 49001, 17724, 16703, 17914, 16671, 48407, 16811, 35378, 21338, 16604, 16391, 16644, 32890, 16671, 31360, 16741, 61210, 16401, 16471, 16407, 16399, 16471, 16408, 16450, 19583, 16396, 16643, 17160, 27983, 16401, 16471, 16407, 16399, 16471, 16408, 16451, 16392, 19421, 16671, 44052, 16397, 16582, 18186, 33111, 16395, 16986, 23496, 16641, 24959, 17109, 16715, 16667, 47592, 38206, 16721, 19522, 28456, 49001, 44052, 16672, 18940, 16395, 17496, 19846, 16802, 28324, 16395, 16872, 16667, 43340, 16715, 16641, 20240, 18898, 16673, 19492, 17435, 17876, 16395, 16674, 21497, 16641, 27488, 18435, 16721, 16704, 37116, 16671, 17036, 16396, 16643, 17160, 19527, 16674, 36522, 26375, 34778, 16396, 21806, 26343, 16674, 23759, 16671, 16941, 16723, 28004, 16397, 16999, 16961, 16703, 18839, 52988, 16980, 17274, 16641, 38206, 17120, 17027, 16703, 17405, 16741, 16641, 36391, 16715, 28754, 16641, 44459, 20293, 16397, 16582, 19231, 17875, 16395, 16986, 16769, 17142, 25662, 16396, 18406, 22077, 36391, 20625, 24340, 24199, 20035, 16674, 18251, 16745, 16934, 20035, 27983, 16401, 16471, 16407, 16399, 16471, 16408, 16403, 21484, 16769, 22484, 17405, 26230, 16671, 16395, 16785, 16741, 16641, 34378, 16715, 16395, 27689, 16649, 19310, 16673, 16647, 44459, 20293, 16397, 56126, 24199, 20035, 16604, 16391, 16453, 65140, 23541, 16671, 16741, 61210, 16401, 16471, 16407, 16399, 16471, 16408, 16450, 16420, 16396, 50501, 27983, 16401, 16471, 16407, 16399, 16471, 16408, 16451, 16392, 25290, 46645, 16661, 16641, 22077, 20293, 16672, 16641, 25989, 17177, 26666, 16641, 27966, 17181, 16647, 25989, 16859, 16721, 16641, 36391, 16868, 30751, 16709, 16647, 22077, 20293, 16397, 17008, 18251, 16745, 16934, 20035, 36391, 16704, 43461, 18125, 16815, 22295, 30603, 16674, 17073, 37348, 31661, 18235, 23978, 17131, 16647, 36958, 16711, 20356, 19989, 32423, 41115, 18359, 16391, 16450, 27519, 16392, 16397, 16582, 22223, 16671, 16647, 40205, 16674, 20936, 23824, 16395, 51841, 16673, 16641, 44459, 20293, 16672, 16667, 18251, 16745, 16934, 20035, 25989, 28549, 17016, 16704, 17031, 16671, 16703, 16641, 18171, 16396, 19308, 18883, 31769, 36391, 16709, 16641, 22077, 29386, 16397, 21561, 16745, 16934, 20035, 38433, 16769, 18365, 16671, 20698, 18379, 17969, 16395, 38908, 60079, 52608, 16672, 16647, 47592, 22767, 16395, 16674, 16667, 18039, 17662, 16397, 17544, 18185, 16395, 16647, 47592, 18251, 16745, 16934, 20035, 20075, 16672, 16917, 20936, 26085, 21998, 16604, 16402, 16396, 16404, 18448, 60079, 16673, 16641, 19164, 16471, 16604, 16391, 37410, 22141, 18161, 16699, 17416, 49960, 16785, 55738, 16392, 16674, 23070, 18908, 16395, 28406, 17404, 63795, 16674, 16641, 18229, 24734, 16673, 22960, 32389, 25146, 22363, 16671, 18288, 16641, 20075, 33208, 16673, 16604, 16401, 16397, 16404, 16396, 16402, 16397, 16399, 16397, 21937, 16671, 16647, 20936, 17521, 22399, 16396, 29690, 17650, 16395, 16641, 19791, 19097, 16644, 17228, 25066, 22765, 16704, 51396, 16672, 16667, 18251, 16745, 16934, 20035, 20075, 16715, 16917, 16671, 17142, 19109, 16395, 16647, 23526, 61210, 16401, 16471, 16407, 16399, 16471, 16408, 16450, 28851, 27983, 16401, 16471, 16407, 16399, 16471, 16408, 16451, 18435, 16704, 16792, 17407, 16665, 16672, 16641, 22570, 16792, 52889, 20075, 16674, 17177, 34515, 16767, 16604, 16400, 16399, 16399, 30021, 16401, 16471, 16399, 16719, 16397, 16772, 44465, 16792, 52889, 20075, 16843, 18379, 16641, 23217, 16455, 24594, 23796, 22363, 16397, 16582, 16853, 52608, 38908, 21173, 22484, 16704, 26552, 16815, 65317, 16652, 17587, 21657, 53429, 17334, 37896, 16397, 29878, 22141, 18161, 16699, 17416, 49960, 16704, 16647, 25704, 38908, 16397, 29878, 50060, 16395, 20932, 16861, 47910, 16395, 31851, 22162, 16396, 19840, 26361, 17416, 16674, 18887, 32917, 16941, 17407, 16769, 20986, 16741, 18230, 38908, 27596, 16721, 16769, 52608, 16785, 17153, 23337, 17886, 16672, 17969, 16604, 16391, 19914, 16876, 16397, 16434, 16397, 19394, 16397, 51199, 16397, 16604, 16403, 16395, 16403, 16400, 16403, 16395, 16402, 16404, 16399, 16410, 16604, 16403, 16395, 16408, 16408, 16403, 16395, 16404, 16401, 16400, 16410, 16604, 16404, 16395, 16403, 16401, 16406, 16395, 16407, 16405, 16402, 16410, 16604, 16404, 16395, 16399, 16405, 16400, 16395, 16404, 16401, 16402, 16410, 16674, 16604, 16404, 16395, 16404, 16399, 16399, 16395, 16403, 16405, 16399, 16392, 16397, 21937, 16671, 16876, 16397, 16434, 16397, 19394, 16397, 17933, 16397, 16604, 16404, 16395, 16403, 16407, 16405, 16395, 16403, 16400, 16403, 16395, 16711, 20356, 19989, 32423, 41115, 18359, 16391, 16450, 27519, 16392, 16604, 16407, 16399, 16399, 23174, 38433, 16769, 18138, 16709, 20932, 22141, 18161, 16699, 17416, 49960, 16674, 16711, 20356, 19989, 32423, 41115, 18359, 16391, 16450, 27519, 16392, 16604, 16406, 16399, 16399, 23174, 38433, 16769, 18138, 16709, 55738, 16941, 17407, 16397, 16582, 16853, 18039, 17662, 16704, 16667, 39580, 16785, 28352, 16721, 26772, 16647, 25989, 17065, 16917, 16944, 16868, 17510, 16641, 18171, 16396, 19308, 18883, 38908, 16906, 36391, 16709, 16641, 44459, 20293, 16397, 16772, 58948, 17434, 20698, 29320, 16667, 56860, 31081, 19310, 17434, 16395, 16715, 18185, 16409, 31055, 16972, 39998, 16674, 55376, 16410, 16751, 27528, 16402, 16410, 16641, 28406, 17404, 16396, 44829, 28758, 16674, 55376, 16410, 16674, 16977, 52948, 22077, 16396, 44829, 28937, 16395, 16715, 18185, 16395, 25083, 63795, 16395, 16662, 17604, 16906, 36007, 16395, 24380, 17404, 62086, 16395, 17055, 61954, 16906, 27617, 23178, 16395, 25083, 57537, 16395, 16662, 17604, 16906, 48649, 16395, 28372, 17997, 63795, 16395, 35285, 16460, 17997, 30085, 16870, 16395, 16726, 17443, 16906, 30085, 16870, 16395, 17474, 37763, 16395, 16674, 25083, 27617, 23178, 16672, 16667, 18636, 16673, 16604, 16399, 16397, 16399, 16401, 16404, 16671, 16604, 16404, 16399, 16695, 16398, 16459, 16674, 16667, 22363, 16395, 16944, 16843, 16703, 17405, 19958, 16785, 16672, 22332, 16734, 22960, 32389, 25146, 22363, 16395, 16674, 17789, 16395, 16715, 18185, 16395, 52835, 16675, 16395, 22960, 41434, 16675, 16395, 27617, 17404, 16674, 27689, 25146, 22363, 16395, 16674, 25190, 32245, 16395, 17789, 16395, 16715, 18185, 16395, 17263, 19923, 16395, 32907, 16462, 16861, 19923, 16674, 16937, 16863, 20602, 16462, 16861, 19923, 32245, 16397, 16582, 17071, 16647, 17843, 16673, 29400, 45480, 22629, 16906, 30877, 16604, 16391, 16452, 16397, 16454, 16397, 16395, 25398, 21329, 17521, 25066, 16392, 16395, 16739, 20091, 19639, 38560, 29421, 52054, 17933, 16397, 55087, 16604, 16408, 16406, 16398, 16399, 16408, 16400, 16401, 16406, 60740, 29400, 16647, 20293, 19421, 16671, 18251, 16745, 16934, 20035, 16734, 16641, 25989, 31291, 16673, 17969, 16395, 42315, 27689, 16645, 16758, 16604, 16391, 17756, 18185, 16395, 17682, 50060, 17689, 27957, 37434, 16448, 16391, 39101, 17416, 27689, 23796, 22363, 16392, 16785, 17045, 16642, 16701, 16755, 16391, 39101, 17416, 27689, 23796, 22363, 16392, 16392, 16395, 55304, 34730, 16645, 16758, 24818, 16935, 16795, 16604, 16391, 17756, 18185, 16395, 16952, 20719, 16645, 16895, 30403, 16673, 16670, 17197, 49977, 56034, 16604, 16391, 16419, 20617, 22260, 16439, 16604, 16401, 16416, 16400, 16785, 16604, 16401, 16416, 16399, 16392, 16392, 16395, 16674, 42315, 17975, 16396, 49802, 19310, 22363, 16604, 16391, 17756, 18185, 16395, 22960, 41434, 16675, 22363, 16392, 16397, 16582, 24914, 16745, 16934, 20035, 57473, 16769, 23611, 16741, 17255, 17238, 23674, 16815, 57473, 22257, 16809, 46645, 16661, 44459, 30877, 16672, 38433, 19325, 28990, 21173, 38908, 27596, 52608, 16672, 17969, 16604, 16391, 16642, 16977, 18878, 16395, 26086, 18915, 17308, 16392, 16674, 57473, 22257, 16815, 56860, 47592, 36391, 38433, 16721, 21005, 52608, 21173, 38908, 27596, 16674, 22439, 17362, 24801, 16673, 17969, 52948, 51278, 41338, 17274, 16741, 38220, 29091, 16682, 28372, 17997, 28937, 16604, 16391, 19914, 16876, 16397, 16434, 16397, 19394, 16397, 17933, 16397, 16604, 16403, 16395, 16401, 16403, 16401, 16395, 16402, 16406, 16408, 16392, 16397, 16875, 17490, 28873, 16395, 16647, 32622, 16673, 16647, 23526, 36391, 16704, 16804, 21487, 16809, 16647, 18636, 16673, 17005, 16672, 16944, 16647, 44459, 20293, 16704, 51396, 16672, 16647, 25989, 16397, 16582, 22223, 16671, 16647, 17875, 23075, 16986, 16704, 19194, 16641, 25989, 21221, 16741, 16641, 38206, 16785, 16641, 36391, 16721, 19497, 16604, 16391, 16416, 16392, 16667, 47592, 48267, 16673, 16641, 22833, 20673, 38908, 16721, 19497, 17969, 16674, 16641, 22570, 17918, 16673, 16641, 22833, 20673, 38908, 48747, 16395, 16641, 52757, 22688, 16674, 16395, 60609, 16395, 16641, 22399, 16396, 54774, 22833, 20673, 28758, 25730, 16647, 52757, 22688, 19497, 16767, 17965, 16917, 25201, 54377, 17666, 16721, 28434, 16647, 52757, 22688, 16671, 23441, 16734, 16647, 22833, 20673, 38908, 48747, 16674, 16767, 17965, 16917, 29843, 16675, 54377, 17666, 16395, 16674, 16604, 16391, 16417, 16392, 16641, 22762, 58683, 23074, 16397, 21937, 16671, 16917, 26085, 16647, 52757, 22688, 16704, 16667, 55304, 28758, 16397, 21937, 16671, 17653, 26085, 16647, 29843, 16675, 54377, 17666, 16673, 16647, 52757, 22688, 16704, 62086, 16395, 34730, 16645, 16758, 16395, 34730, 20837, 16395, 34730, 16652, 16758, 16785, 24821, 17129, 20719, 16645, 16758, 16674, 16647, 52608, 22833, 20673, 38908, 22570, 17918, 16872, 16641, 23070, 16398, 63893, 16713, 37924, 21844, 16673 ]
[ 0, 16853, 22900, 23204, 16721, 16858, 17586, 26592, 16647, 23806, 16769, 20519, 18125, 17714, 37099, 16397, 37134, 17586, 16769, 16804, 25105, 16715, 17726, 41618, 16741, 16873, 21005, 29213, 18206, 17624, 16397, 22046, 16769, 18125, 19028, 19181, 16815, 16647, 24284, 18421, 16397, 16582, 16582, 38194, 16604, 16474, 16386, 16466, 16400, 16476, 16582, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16582, 16582, 17071, 21994, 19328, 19705, 62080, 16604, 16391, 21332, 16392, 16704, 17711, 17097, 16671, 30604, 16741, 19225, 16673, 25917, 46934, 28538, 16672, 18198, 22710, 16397, 34993, 16604, 16400, 16404, 16388, 16673, 24092, 19757, 50024, 16807, 16641, 28803, 18067, 16815, 16647, 53811, 16604, 16391, 42798, 28803, 24092, 16392, 16410, 16641, 18613, 16604, 16402, 16404, 16388, 17460, 28803, 20062, 17135, 16641, 24579, 18472, 16734, 17221, 18220, 16661, 16396, 18292, 18892, 18067, 16604, 16391, 44832, 28803, 24092, 16392, 16604, 16442, 16415, 16463, 16877, 16397, 16399, 16400, 16399, 16408, 16405, 16406, 16408, 16396, 16426, 18292, 41682, 32635, 19686, 16400, 16444, 16397, 21604, 17009, 38094, 16843, 46471, 19966, 20062, 18067, 16395, 17047, 16734, 20618, 16785, 24745, 28803, 24092, 19744, 20176, 19165, 19943, 16604, 16442, 16415, 16463, 16877, 16397, 16399, 16400, 16399, 16408, 16405, 16406, 16408, 16396, 16423, 32669, 18012, 16400, 16444, 16397, 19941, 59325, 31878, 16704, 16917, 16673, 16647, 18545, 16765, 16674, 17154, 25350, 34237, 17235, 16673, 17047, 16734, 28803, 24092, 16395, 16850, 42641, 32758, 16673, 16977, 46934, 22072, 16395, 17274, 16741, 58903, 16395, 34490, 16661, 16395, 16674, 21992, 16395, 16769, 17875, 16672, 19001, 35240, 16674, 19032, 17492, 16977, 16604, 16442, 16415, 16463, 16877, 16397, 16399, 16400, 16399, 16408, 16405, 16406, 16408, 16396, 29763, 64566, 25361, 16400, 16444, 16396, 16396, 16442, 16415, 16463, 16877, 16397, 16399, 16400, 16399, 16408, 16405, 16406, 16408, 16396, 40501, 17318, 16400, 16444, 16397, 39098, 19831, 24396, 16721, 17417, 53366, 16673, 17047, 16734, 24092, 16672, 18723, 16704, 21999, 16809, 16931, 16641, 23411, 16604, 16442, 16415, 16463, 16877, 16397, 16399, 16400, 16399, 16408, 16405, 16406, 16408, 16396, 26733, 16915, 16400, 16444, 16397, 18523, 20349, 29183, 18873, 17123, 18209, 17259, 17202, 16604, 16442, 16415, 16463, 16877, 16397, 16399, 16400, 16399, 16408, 16405, 16406, 16408, 16396, 35459, 22902, 16400, 16444, 16395, 43929, 17055, 16396, 37295, 27949, 17186, 16674, 32126, 17274, 16741, 63190, 44999, 16395, 50145, 34472, 29160, 16395, 32126, 16673, 25903, 16674, 51508, 16395, 16674, 16783, 62025, 24745, 16671, 20301, 28081, 23322, 16395, 16858, 16673, 16944, 16769, 18166, 22556, 16673, 18554, 16604, 16442, 16415, 16463, 16877, 16397, 16399, 16400, 16399, 16408, 16405, 16406, 16408, 16396, 49091, 17320, 17768, 16400, 16444, 16397, 16582, 16582, 21332, 17027, 17223, 16661, 16659, 16709, 16647, 19902, 16674, 28339, 17204, 16396, 26345, 16673, 18873, 16443, 16390, 18650, 18208, 16604, 16442, 16415, 16463, 16877, 16397, 16399, 16400, 16399, 16408, 16405, 16406, 16408, 16396, 46929, 16995, 20280, 16400, 16444, 16397, 16772, 17301, 20062, 41237, 20634, 17005, 16715, 17797, 18319, 16671, 24005, 16674, 21498, 16671, 16914, 17534, 16465, 24128, 16395, 16944, 30547, 16815, 17310, 16672, 20053, 16674, 16977, 16952, 29263, 46934, 19527, 17274, 16741, 29075, 16785, 17045, 16472, 16701, 37668, 39180, 62080, 16397, 18523, 16395, 16741, 17005, 26646, 16395, 17534, 16465, 56661, 16674, 17055, 16396, 37295, 27949, 17186, 17188, 16671, 16647, 29312, 16674, 27422, 16673, 16647, 20062, 16397, 16582, 16582, 24346, 28456, 19591, 22965, 19165, 21778, 16672, 22656, 24092, 16704, 32455, 16395, 18961, 25921, 18510, 34895, 16671, 16641, 16664, 56663, 19474, 16741, 16647, 20062, 51770, 16604, 16442, 16415, 16463, 16877, 16397, 16399, 16400, 16399, 16408, 16405, 16406, 16408, 16396, 29863, 16400, 16444, 16397, 16739, 56663, 17534, 16872, 16992, 21365, 16741, 16409, 16604, 16385, 16853, 20432, 18804, 17534, 16673, 18873, 20040, 20062, 16704, 16804, 38583, 16671, 17422, 17225, 19165, 16397, 20943, 16673, 18389, 16674, 16977, 22665, 16395, 16674, 16673, 28339, 16395, 18237, 16674, 23569, 19153, 16704, 54907, 16397, 16772, 19708, 16673, 16664, 56663, 17534, 16704, 16647, 29247, 16673, 16647, 17514, 18950, 16673, 17417, 16715, 18873, 16674, 16914, 20422, 16397, 16385, 16604, 16391, 16411, 19020, 16409, 16398, 16398, 18409, 16397, 25510, 16397, 16974, 16398, 50818, 16398, 16463, 56663, 16398, 41941, 16398, 16652, 16398, 28205, 16665, 16413, 16604, 16400, 18932, 16604, 16401, 16399, 16400, 16403, 16392, 16397, 16582, 16582, 18186, 63521, 20158, 17995, 27927, 16395, 17789, 24194, 24013, 16673, 16604, 16401, 16399, 16400, 16399, 16604, 16391, 16411, 19020, 16409, 16398, 16398, 18409, 16397, 35961, 33517, 48209, 20511, 16915, 16397, 16654, 16398, 54526, 16398, 16451, 19256, 16750, 37824, 16397, 54526, 16414, 16699, 16412, 16402, 16401, 16408, 16401, 16401, 16413, 33601, 16604, 16400, 18932, 16604, 16401, 16399, 16400, 16403, 16392, 20199, 16671, 17460, 16674, 19077, 16664, 56663, 18373, 16715, 17975, 16396, 50818, 18873, 17789, 17310, 16734, 24438, 17094, 23010, 17225, 24720, 16604, 16442, 16415, 16463, 16877, 16397, 16399, 16400, 16399, 16408, 16405, 16406, 16408, 16396, 50412, 16457, 35882, 16400, 16444, 16396, 16396, 16442, 16415, 16463, 16877, 16397, 16399, 16400, 16399, 16408, 16405, 16406, 16408, 16396, 36959, 17931, 21486, 16400, 16444, 16397, 16582, 16582, 17071, 16811, 20409, 16395, 16742, 16807, 20140, 16641, 17009, 17616, 16396, 19338, 26536, 16715, 17047, 16734, 22660, 24092, 16674, 16914, 61163, 18047, 16647, 16739, 56663, 23319, 16715, 17227, 20572, 16697, 54616, 16665, 50709, 16734, 24092, 16672, 23948, 16604, 16391, 22113, 22333, 18759, 16424, 16392, 16397, 17119, 16958, 23895, 16809, 17142, 20609, 16409, 16647, 63515, 19474, 16715, 16647, 18356, 16674, 25416, 16673, 19680, 32858, 21270, 16809, 16647, 22552, 20468, 20292, 16604, 16442, 16415, 16463, 16877, 16397, 16399, 16400, 16399, 16408, 16405, 16406, 16408, 16396, 58310, 16400, 16444, 16410, 16674, 16647, 19474, 60652, 19977, 24375, 17415, 24438, 34500, 16395, 35420, 16674, 16664, 56663, 17534, 18373, 16741, 16667, 20176, 17210, 16673, 25721, 18873, 16734, 24438, 17094, 23010, 17225, 27821, 16604, 16442, 16415, 16463, 16877, 16397, 16399, 16400, 16399, 16408, 16405, 16406, 16408, 16396, 34508, 16646, 17287, 21488, 16400, 16444, 16397, 16875, 21625, 18718, 22333, 18759, 16424, 16742, 22365, 26498, 16671, 23006, 18873, 16395, 46558, 16674, 17730, 23816, 16604, 16391, 16423, 22776, 16392, 16672, 16647, 18356, 16673, 16647, 26536, 16410, 16674, 17391, 18462, 22122, 16395, 55705, 16395, 16674, 23819, 40262, 18325, 23948, 17065, 18375, 16604, 16442, 16415, 16463, 16877, 16397, 16399, 16400, 16399, 16408, 16405, 16406, 16408, 16396, 17287, 16457, 17458, 16470, 20720, 16400, 16444, 16397, 16582, 16582, 20404, 17038, 33444, 18603, 16673, 16647, 23824, 16604, 16391, 19914, 19057, 16392, 16742, 21766, 17910, 30705, 16604, 16442, 16415, 16463, 16877, 16397, 16399, 16400, 16399, 16408, 16405, 16406, 16408, 16396, 16422, 47202, 16400, 16444, 16395, 16604, 16442, 16415, 16463, 16877, 16397, 16399, 16400, 16399, 16408, 16405, 16406, 16408, 16396, 36959, 17931, 21486, 16400, 16444, 16395, 16604, 16442, 16415, 16463, 16877, 16397, 16399, 16400, 16399, 16408, 16405, 16406, 16408, 16396, 20582, 53249, 16401, 16444, 16395, 16604, 16442, 16415, 16463, 16877, 16397, 16399, 16400, 16399, 16408, 16405, 16406, 16408, 16396, 20582, 53249, 16402, 16444, 16674, 16917, 63985, 18077, 16604, 16442, 16415, 16463, 16877, 16397, 16399, 16400, 16399, 16408, 16405, 16406, 16408, 16396, 25883, 18339, 16452, 29821, 30325, 16400, 16444, 16944, 25186, 41161, 50982, 16671, 20114, 24092, 20475, 18467, 16395, 16674, 16958, 22546, 16672, 16647, 19590, 16395, 21637, 16674, 23948, 17030, 16647, 17367, 20575, 17202, 16397, 16772, 19590, 16604, 16442, 16415, 16463, 16877, 16397, 16399, 16400, 16399, 16408, 16405, 16406, 16408, 16396, 20582, 53249, 16401, 16444, 16395, 16604, 16442, 16415, 16463, 16877, 16397, 16399, 16400, 16399, 16408, 16405, 16406, 16408, 16396, 20582, 53249, 16402, 16444, 16674, 24194, 16604, 16442, 16415, 16463, 16877, 16397, 16399, 16400, 16399, 16408, 16405, 16406, 16408, 16396, 25883, 18339, 16452, 29821, 30325, 16400, 16444, 19831, 33688, 16647, 20960, 16673, 16641, 17616, 16664, 56663, 17534, 18224, 16944, 16763, 19739, 16734, 19749, 17534, 16672, 21876, 20448, 42983, 24389, 26364, 16604, 16391, 16433, 20091, 16466, 16392, 16397, 16772, 19590, 16778, 20091, 20332, 16721, 16641, 17616, 16664, 56663, 17534, 18224, 22818, 22665, 19083, 16395, 21999, 58537, 27422, 16674, 17027, 21999, 16647, 17231, 16673, 20618, 16674, 29243, 20374, 18373, 17030, 16647, 18187, 16396, 20524, 16604, 16442, 16415, 16463, 16877, 16397, 16399, 16400, 16399, 16408, 16405, 16406, 16408, 16396, 49091, 17320, 17768, 16401, 16444, 16397, 16772, 24194, 16778, 20091, 16604, 16391, 22044, 16396, 29122, 16392, 19618, 17047, 16734, 22660, 24092, 16395, 45198, 16443, 16390, 16466, 20062, 16674, 19359, 27821, 16395, 16785, 17045, 16472, 16701, 37668, 39180, 62080, 16397, 17513, 17494, 16721, 16641, 17616, 16664, 56663, 17534, 26536, 21047, 16641, 48317, 16674, 36833, 18650, 24206, 16672, 18873, 16443, 16390, 17730, 16396, 21670, 18950, 16673, 17417, 16674, 16672, 17910, 19902, 22665, 16604, 16391, 48520, 16395, 24557, 37913, 16395, 20207, 16395, 16674, 48082, 22665, 16392, 16604, 16442, 16415, 16463, 16877, 16397, 16399, 16400, 16399, 16408, 16405, 16406, 16408, 16396, 25883, 18339, 16452, 29821, 30325, 16400, 16444, 16397, 16582, 16582, 53332, 16728, 17123, 16804, 16703, 34742, 16671, 20558, 32858, 16673, 16811, 19373, 16671, 17476, 40262, 16674, 17730, 19258, 16604, 16442, 16415, 16463, 16877, 16397, 16399, 16400, 16399, 16408, 16405, 16406, 16408, 16396, 17287, 16457, 17458, 16470, 20720, 16400, 16444, 16395, 16604, 16442, 16415, 16463, 16877, 16397, 16399, 16400, 16399, 16408, 16405, 16406, 16408, 16396, 16437, 25942, 16473, 16400, 16444, 16397, 16772, 19590, 16778, 20091, 16604, 16442, 16415, 16463, 16877, 16397, 16399, 16400, 16399, 16408, 16405, 16406, 16408, 16396, 49091, 17320, 17768, 16401, 16444, 16763, 19618, 16672, 16641, 19193, 19807, 33444, 18603, 16709, 16647, 29151, 16674, 17985, 16396, 27066, 22607, 16673, 17616, 16664, 56663, 17534, 18373, 16715, 22710, 16734, 22656, 24202, 16674, 16914, 46558, 16397, 16772, 18603, 17494, 16721, 17616, 16664, 56663, 17534, 19800, 16647, 19489, 16673, 26691, 16767, 17616, 16674, 21999, 41459, 27422, 18839, 16715, 18873, 16734, 20053, 16395, 17714, 51120, 16709, 58537, 33004, 16397, 18523, 17586, 16709, 24438, 17094, 23010, 17225, 19527, 16958, 17589, 16674, 56484, 16604, 16442, 16415, 16463, 16877, 16397, 16399, 16400, 16399, 16408, 16405, 16406, 16408, 16396, 16422, 28470, 16400, 16444, 16397, 16582, 16582, 17506, 21682, 29731, 21846, 16641, 18166, 18814, 16672, 20557, 17301, 16396, 20524, 24092, 17534, 16674, 17564, 16395, 18143, 17030, 17259, 17202, 16395, 18839, 16672, 16647, 28803, 21876, 16673, 16647, 20062, 16409, 16641, 33444, 18603, 16709, 16647, 29151, 16673, 58344, 35420, 16715, 22710, 16734, 24092, 22130, 22818, 19962, 16674, 25769, 16604, 16442, 16415, 16463, 16877, 16397, 16399, 16400, 16399, 16408, 16405, 16406, 16408, 16396, 16426, 19216, 16400, 16444, 16397, 16875, 30588, 16715, 17047, 16734, 17301, 16396, 20524, 46934, 19527, 17274, 16741, 24092, 16395, 27859, 16673, 27303, 16674, 24375, 17415, 24438, 34500, 16395, 35420, 16674, 16664, 56663, 17534, 23825, 16709, 20062, 21876, 16409, 16741, 16647, 20475, 16443, 16390, 16466, 20249, 21083, 16922, 22656, 16395, 35420, 16674, 16664, 56663, 17534, 25054, 18143, 39306, 16604, 16391, 17022, 17787, 16463, 56663, 35420, 16392, 16604, 16442, 16415, 16463, 16877, 16397, 16399, 16400, 16399, 16408, 16405, 16406, 16408, 16396, 34508, 16646, 17287, 21488, 16400, 16444, 16395, 16674, 16728, 16704, 19272, 16721, 22134, 16673, 18538, 18337, 16674, 17055, 16396, 16995, 18057, 17415, 17213, 18321, 17186, 16868, 19077, 17534, 18950, 16397, 16582, 16582, 16853, 17875, 18077, 20369, 16647, 16819, 19606, 18467, 29672, 16809, 34660, 22499, 24092, 22710, 16395, 16914, 61163, 16395, 16674, 16751, 22776, 21877, 16672, 30588, 16715, 17007, 16395, 16741, 21487, 16809, 16647, 41161, 18147, 18197, 16397, 16772, 18077, 16704, 17015, 16673, 16647, 18718, 22333, 18759, 16424, 17913, 16944, 19618, 16641, 33444, 18603, 16673, 16647, 23824, 16674, 16647, 20960, 16673, 16641, 17616, 16396, 19338, 16664, 56663, 17632, 16671, 16703, 23679, 16672, 16641, 40601, 23857, 20989, 45945, 16647, 17567, 17736, 39392, 19147, 16673, 23948, 16397, 16582, 16582, 41751, 16604, 16474, 16386, 16466, 16401, 16476, 16582, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16582, 16582, 19862, 20555, 16604, 16474, 16386, 16466, 16401, 16448, 16476, 16582, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16582, 16582, 17507, 19423, 17567, 18474, 19098, 16409, 17047, 16734, 22660, 24092, 16395, 16914, 61163, 16395, 16674, 16751, 22776, 21877, 16672, 16647, 17534, 16673, 17047, 16734, 22660, 24092, 16397, 19736, 24431, 16763, 16671, 22597, 16914, 21855, 16395, 21675, 16674, 18467, 16395, 16674, 27626, 45384, 17356, 16647, 26536, 19147, 16397, 16582, 16582, 18264, 17047, 16734, 22660, 24092, 16641, 17616, 16396, 19338, 18741, 26311, 16396, 57915, 19724, 33317, 16763, 19273, 16671, 16703, 17154, 21286, 16397, 17544, 61163, 16674, 16751, 22776, 18314, 19318, 16604, 16391, 46697, 16392, 16958, 18939, 16671, 23129, 26459, 16674, 22134, 16673, 20385, 17989, 16641, 27488, 20189, 16604, 16442, 16415, 16463, 16877, 16397, 16399, 16400, 16399, 16408, 16405, 16406, 16408, 16396, 16419, 26791, 16642, 16400, 16444, 16397, 24586, 16773, 38491, 16604, 16391, 16877, 16672, 17492, 18124, 16673, 23948, 16392, 16734, 61163, 16673, 22710, 16734, 22660, 24092, 16395, 16674, 17142, 16773, 38491, 16734, 16751, 22776, 16604, 16391, 16642, 22226, 29236, 16674, 26261, 16392, 16958, 22546, 16397, 16582, 16582, 44202, 17220, 19978, 16604, 16474, 16386, 16466, 16401, 16449, 16476, 16582, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16582, 16582 ]
[ 0, 36300, 16604, 16474, 16386, 37256, 16400, 16476, 16582, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16582, 16582, 19257, 16707, 18057, 16673, 20293, 16674, 51145, 16809, 30280, 35801, 18466, 16672, 16647, 53437, 16673, 17969, 18950, 16944, 19291, 18206, 17730, 16741, 17204, 16741, 16647, 17730, 16673, 52337, 29718, 16604, 16391, 49100, 17054, 18250, 17605, 16813, 16397, 16604, 16442, 16415, 23965, 16403, 16444, 16410, 25811, 16708, 24905, 16604, 16442, 16415, 23965, 16401, 16444, 16392, 16397, 49720, 35801, 16672, 16647, 52337, 18805, 25496, 16667, 31913, 19787, 16671, 16647, 23731, 16673, 38267, 42679, 16672, 16647, 18124, 16674, 16647, 39534, 28523, 16673, 16647, 34131, 16395, 20278, 16741, 30280, 35801, 17123, 20502, 16647, 18308, 31446, 16395, 42968, 16672, 16647, 18805, 16395, 25069, 25188, 16768, 21663, 16674, 25069, 16396, 54570, 17940, 16397, 25916, 16991, 30280, 35801, 16672, 19251, 29879, 17156, 17889, 24128, 16672, 37067, 22089, 16673, 19006, 38267, 16395, 17362, 24734, 16807, 16992, 21852, 16671, 16703, 26227, 16715, 18206, 16674, 52337, 17417, 16604, 16391, 16430, 20649, 16990, 17605, 16813, 16397, 16604, 16442, 16415, 23965, 16403, 16444, 16410, 17721, 16934, 16462, 22209, 16396, 16417, 26399, 17605, 16813, 16397, 16604, 16442, 16415, 23965, 16400, 16444, 16392, 16397, 19568, 24734, 16673, 30280, 35801, 16672, 17969, 21331, 17123, 17474, 16671, 29175, 19938, 17274, 16741, 53682, 17186, 16395, 20053, 16674, 18216, 17730, 16673, 52337, 21617, 16674, 16914, 57653, 48378, 16604, 16391, 16418, 19171, 24945, 16913, 17478, 17605, 16813, 16397, 16604, 16442, 16415, 23965, 16401, 16444, 16410, 21262, 16801, 17605, 16813, 16397, 16604, 16442, 16415, 23965, 16400, 16404, 16444, 16410, 16908, 16962, 16861, 16668, 17605, 16813, 16397, 16604, 16442, 16415, 23965, 16400, 16400, 16444, 16392, 16397, 16875, 23304, 30280, 35801, 18568, 18244, 29879, 17123, 17474, 16671, 17730, 19153, 17789, 28037, 24720, 16395, 33212, 19153, 16674, 22226, 16462, 26227, 37106, 42032, 16604, 16391, 50908, 17605, 16813, 16397, 16604, 16442, 16415, 23965, 16400, 16401, 16444, 16410, 52756, 27479, 16604, 16442, 16415, 23965, 16401, 16444, 16392, 16397, 16582, 16582, 25449, 17229, 20502, 33862, 16674, 38029, 17181, 16641, 20710, 16673, 21331, 17274, 16741, 18195, 24401, 39608, 17989, 26187, 21972, 16395, 16827, 18975, 16673, 41748, 35673, 16395, 40078, 48347, 19357, 25190, 18798, 16395, 51276, 16673, 39515, 17612, 21663, 16674, 18340, 21156, 17502, 40412, 33594, 19059, 16785, 37020, 31018, 21331, 17789, 16647, 32703, 16673, 23764, 16674, 21173, 22421, 16395, 23295, 16785, 23410, 17325, 18350, 16988, 16395, 22351, 16674, 27710, 16670, 16831, 18841, 19104, 16397, 16604, 16391, 57139, 17138, 16450, 52776, 17605, 16813, 16397, 16604, 16442, 16415, 23965, 16400, 16400, 16444, 16392, 16397, 49720, 35801, 20502, 16647, 18206, 18370, 17181, 18295, 29957, 17274, 16741, 18308, 22835, 16395, 17815, 22268, 22136, 16395, 16670, 57493, 19047, 16395, 16662, 18575, 58630, 16725, 16674, 27596, 17181, 22418, 16674, 27010, 16604, 16391, 35737, 16674, 40926, 16604, 16442, 16415, 23965, 16400, 16408, 16444, 16410, 37825, 17605, 16813, 16397, 16604, 16442, 16415, 23965, 16400, 16400, 16444, 16410, 53324, 21101, 16604, 16442, 16415, 23965, 16400, 16401, 16444, 16395, 16604, 16442, 16415, 23965, 16403, 16444, 16392, 16397, 16582, 16582, 18264, 20176, 23405, 16673, 17969, 18950, 16728, 16704, 17889, 16671, 21986, 19056, 18206, 17730, 19938, 16673, 29746, 16672, 17969, 16397, 16772, 20839, 18197, 16715, 36183, 17730, 19938, 20206, 24416, 16647, 23975, 19795, 16734, 62652, 24727, 16395, 16850, 16728, 16704, 16804, 34725, 25915, 16671, 18288, 23435, 32618, 19415, 16674, 21986, 61067, 16673, 16647, 17154, 19039, 16397, 19218, 18813, 23405, 16704, 16667, 17889, 19349, 16715, 52661, 16647, 19056, 17730, 19032, 16672, 52337, 45205, 21099, 16809, 19001, 61067, 16604, 16391, 16438, 16468, 17605, 16813, 16397, 16604, 16442, 16415, 23965, 16400, 16401, 16444, 16410, 16687, 16464, 18110, 16674, 34455, 16604, 16442, 16415, 23965, 16401, 16444, 16392, 16397, 17170, 18197, 16872, 16992, 21627, 16671, 26828, 16647, 19056, 29175, 17730, 19938, 16815, 23659, 16671, 43762, 17969, 16604, 16391, 16426, 16962, 16861, 16668, 17605, 16813, 16397, 16604, 16442, 16415, 23965, 16400, 16400, 16444, 16410, 27441, 17949, 17605, 16813, 16397, 16604, 16442, 16415, 23965, 16408, 16444, 16410, 18792, 17605, 16813, 16397, 16604, 16442, 16415, 23965, 16402, 16405, 16444, 16392, 16397, 21604, 22268, 22136, 16704, 19570, 16647, 20618, 22955, 16673, 23659, 16671, 22635, 40328, 16672, 24552, 17969, 21331, 58630, 16725, 16674, 16670, 57493, 35625, 16769, 24280, 17255, 18711, 17065, 18375, 16741, 17889, 23659, 33582, 16397, 16582, 16582, 16427, 17487, 16807, 17889, 22399, 26742, 22539, 17789, 19419, 16673, 24552, 17969, 16395, 46990, 16395, 27941, 16395, 26659, 16395, 18247, 17184, 18384, 24932, 16674, 22960, 16396, 35994, 19378, 16604, 16391, 63920, 17605, 16813, 16397, 16604, 16442, 16415, 23965, 16402, 16408, 16444, 16392, 16397, 16772, 31762, 16680, 16467, 17052, 21788, 17105, 27710, 16944, 16704, 16641, 19588, 51456, 58752, 16721, 40215, 16815, 41731, 16943, 19032, 16604, 16391, 16426, 19171, 16885, 16459, 17605, 16813, 16397, 16604, 16442, 16415, 23965, 16408, 16444, 16392, 16674, 21071, 17259, 22072, 17789, 17969, 16715, 24552, 16674, 23410, 17231, 16395, 26659, 16395, 25486, 16395, 29567, 16674, 25530, 24932, 16397, 23466, 42254, 16661, 16647, 18950, 16673, 17969, 16672, 16647, 27710, 16674, 17073, 37663, 16704, 16641, 17369, 22393, 16673, 16647, 21061, 16673, 36309, 16395, 23267, 16674, 21958, 16771, 16715, 16647, 28669, 16673, 16811, 17889, 17969, 22515, 16674, 17394, 28925, 18758, 16397, 18523, 16395, 16986, 16704, 20236, 17624, 16709, 16647, 19938, 16673, 16647, 17476, 37020, 31018, 19811, 16709, 16647, 17969, 18950, 16674, 16647, 61371, 17730, 19938, 16673, 16647, 31762, 16680, 16467, 17052, 21788, 17105, 22118, 16397, 16772, 20199, 16673, 16647, 18077, 16704, 16671, 21349, 16647, 19415, 16673, 16647, 21578, 35801, 16604, 16391, 17894, 16395, 31020, 16395, 20736, 16395, 21788, 16395, 65347, 16674, 16739, 16449, 16392, 16672, 16647, 27710, 16674, 51145, 16674, 16671, 26828, 16647, 17730, 18813, 19970, 16734, 36715, 16671, 17213, 35801, 17181, 27835, 22268, 22136, 16674, 35625, 17181, 16647, 20848, 16397, 18708, 35801, 16958, 21578, 18138, 16709, 16647, 29578, 37020, 31018, 19811, 17473, 16647, 27710, 16944, 18379, 29950, 16395, 36793, 16673, 62268, 16666, 20494, 27220, 16944, 24448, 16671, 24910, 29746, 16674, 18247, 36991, 16395, 16734, 16647, 52172, 23659, 16673, 16647, 18805, 16671, 30280, 35801, 29746, 16397, 16582, 16582, 41751, 16604, 16474, 16386, 37256, 16401, 16476, 16582, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16582, 16582, 16853, 18077, 18124, 16604, 16474, 16386, 37256, 16402, 16476, 16582, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16582, 16582, 50769, 31762, 16680, 16467, 17052, 16704, 36322, 16767, 16604, 16399, 16405, 21896, 16402, 16401, 29084, 16429, 16674, 16604, 16400, 21896, 16401, 16404, 29084, 16438, 16674, 16704, 16917, 16673, 16647, 62654, 16604, 16391, 16400, 16408, 16392, 22557, 19032, 23820, 18365, 16709, 21006, 16674, 16872, 16667, 18702, 16673, 16604, 16400, 16397, 16399, 16406, 18115, 17202, 16397, 21937, 16671, 16908, 19171, 16885, 16459, 17605, 16813, 16397, 16604, 16391, 16442, 16415, 23965, 16408, 16444, 16392, 16728, 16704, 19970, 16734, 16917, 16673, 16647, 17910, 16939, 19965, 19127, 22218, 17069, 22262, 16672, 16647, 16719, 17692, 16670, 16390, 16424, 21616, 16948, 16939, 19965, 16943, 18676, 16397, 16772, 27710, 16704, 19765, 22476, 16734, 17969, 16672, 16641, 34679, 20189, 16673, 27043, 16604, 16407, 16397, 16404, 18331, 25300, 16672, 31351, 16734, 16641, 39893, 16396, 16928, 16396, 19918, 31351, 16673, 16931, 16604, 16400, 16399, 16397, 16404, 18331, 25300, 16674, 16872, 16641, 23437, 16673, 16931, 16604, 16406, 16407, 16396, 16396, 16407, 16399, 18331, 22220, 16672, 17073, 20854, 17015, 16604, 16391, 44874, 22591, 16604, 16442, 16415, 23965, 16402, 16405, 16444, 16392, 16397, 16772, 42878, 16673, 16647, 19599, 17473, 16647, 27710, 16704, 24305, 16721, 16673, 16641, 32871, 34321, 58217, 16397, 16772, 22960, 16840, 17595, 16673, 16647, 46016, 16704, 31684, 16809, 29621, 16736, 16756, 16673, 16647, 58352, 34555, 29922, 16674, 16647, 37236, 16706, 17060, 36409, 16397, 36686, 23162, 25231, 23693, 16672, 16647, 37236, 16706, 17060, 56634, 52923, 17366, 16903, 16673, 16647, 34602, 37236, 16706, 17060, 16604, 16391, 19606, 17228, 18769, 29922, 16392, 16674, 16647, 36443, 37236, 16706, 17060, 16604, 16391, 19606, 16962, 16723, 46052, 29922, 16392, 16397, 16772, 34602, 37236, 16706, 17060, 29320, 16673, 17030, 16604, 16407, 16399, 18331, 16388, 16673, 16647, 18804, 18247, 38388, 16673, 16647, 46016, 17437, 16647, 36443, 37236, 16706, 17060, 33099, 16891, 16672, 16647, 28763, 16674, 20169, 25461, 25419, 16673, 16647, 46016, 16397, 21123, 16647, 27710, 16704, 16641, 22960, 35531, 46016, 16604, 16391, 34508, 16646, 17605, 16813, 16397, 16604, 16442, 16415, 23965, 16400, 16400, 16444, 16392, 16858, 56750, 20397, 16672, 16647, 27710, 23526, 16672, 16641, 19680, 16674, 40292, 29718, 16741, 16873, 16829, 16804, 16807, 18171, 16396, 18581, 24823, 19629, 16674, 20821, 32035, 50266, 56750, 16604, 16391, 16427, 21488, 52553, 17318, 16674, 52298, 28708, 16780, 16448, 16604, 16442, 16415, 23965, 16400, 16404, 16444, 16392, 16397, 16772, 17736, 33333, 16673, 16647, 17047, 17473, 16647, 27710, 16704, 26659, 16674, 30882, 16850, 18761, 19193, 16986, 16704, 16641, 36793, 16673, 62268, 16666, 20494, 19811, 17473, 16647, 18124, 16397, 16582, 16582, 28028, 25366, 16674, 19335, 16604, 16474, 16386, 37256, 16403, 16476, 16582, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16582, 16582, 34482, 23375, 16958, 23980, 16815, 16647, 27710, 16674, 36363, 27997, 16815, 20575, 18206, 40894, 17473, 16647, 31762, 16680, 16467, 17052, 21788, 17105, 22118, 30807, 16767, 20420, 16642, 22536, 16954, 16395, 16793, 16458, 16714, 16456, 16395, 17721, 16470, 18404, 16462, 16395, 18553, 28514, 16470, 16768, 16395, 16830, 17357, 16395, 18553, 32424, 16674, 47741, 16954, 16741, 24483, 16672, 24502, 16397, 18331, 16442, 16400, 16444, 16391, 16386, 24001, 16400, 16392, 16474, 18452, 16396, 18926, 16412, 16385, 19327, 16385, 16476, 16397, 20586, 25366, 16763, 18090, 17155, 16604, 16402, 18331, 47792, 16815, 19196, 16395, 16604, 16401, 16399, 16400, 16401, 16671, 19137, 16395, 16604, 16401, 16399, 16400, 16402, 16397, 24001, 16397, 18331, 16400, 22090, 16673, 18077, 18124, 21317, 28781, 17187, 23375, 16958, 18711, 16672, 16647, 31762, 16680, 16467, 17052, 21788, 17105, 22118, 18124, 16582, 16582, 28028, 18716, 16958, 23980, 17065, 53674, 34173, 49948, 23939, 35996, 16944, 16955, 16992, 33694, 16734, 17438, 23211, 16988, 16395, 16604, 16403, 16397, 16399, 18331, 48744, 18331, 45300, 16445, 25296, 16402, 16445, 27617, 17404, 22363, 20075, 16674, 62958, 17969, 16674, 34515, 16672, 16667, 36994, 16397, 16772, 33208, 16395, 50696, 18804, 42315, 60079, 16674, 21452, 16958, 23975, 16709, 16647, 18758, 17655, 35114, 44941, 21195, 16604, 16405, 16404, 16399, 18180, 35361, 28283, 29569, 32508, 16763, 23975, 16734, 16641, 62610, 57715, 16604, 16408, 16402, 16403, 16400, 16403, 29569, 32508, 33691, 16397, 16772, 23375, 16958, 17177, 42873, 17181, 17036, 16396, 65164, 16604, 16399, 16397, 16403, 16404, 18331, 23944, 16460, 25023, 16919, 16779, 27617, 16689, 18933, 16748, 17040, 34631, 16671, 22200, 16998, 21346, 22584, 16395, 22363, 17886, 16734, 16604, 16405, 18331, 16428, 32850, 16668, 16751, 27528, 16477, 16402, 16477, 16604, 16391, 16401, 18331, 18953, 18331, 16459, 16445, 25296, 16400, 16445, 16392, 16671, 17754, 33208, 18331, 16443, 16411, 18331, 16401, 16604, 16391, 34206, 21101, 16604, 16442, 16415, 23965, 16402, 16408, 16444, 16392, 16395, 37684, 16672, 16667, 22161, 25187, 16671, 16647, 29105, 16674, 25499, 16767, 31949, 16403, 18331, 21896, 16418, 16672, 16641, 50589, 16397, 16772, 30280, 35801, 16958, 21487, 17655, 50917, 28099, 55155, 34122, 23476, 16701, 30247, 16604, 16391, 23726, 16410, 16965, 23398, 16604, 16401, 16401, 16399, 16392, 17655, 18398, 16396, 16861, 17666, 35884, 37911, 16767, 16641, 21452, 16673, 16931, 16604, 16401, 16402, 16399, 16399, 18331, 21896, 16418, 16397, 16772, 21286, 39397, 39638, 17197, 49696, 16604, 16391, 16423, 22695, 16392, 16715, 17492, 16673, 16647, 21025, 17376, 16395, 20736, 16395, 16739, 16449, 16395, 51815, 16395, 21788, 16395, 65347, 16674, 30310, 16958, 25186, 16741, 18545, 26993, 19419, 16767, 21863, 59140, 16673, 16604, 16400, 16408, 16402, 16397, 16406, 16395, 16604, 16401, 16403, 16407, 16397, 16402, 16395, 16604, 16401, 16400, 16406, 16397, 16399, 16395, 16604, 16401, 16400, 16402, 16397, 16408, 16395, 16604, 16402, 16404, 16406, 16397, 16408, 16395, 16604, 16401, 16401, 16407, 16397, 16407, 16674, 16604, 16401, 16402, 16401, 16397, 16399, 18331, 37708, 22358, 16397, 16582, 16582, 51952, 18123, 16604, 16474, 16386, 37256, 16404, 16476, 16582, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16582, 16582, 51952, 18123, 22021, 16715, 16647, 19335, 16958, 25388, 17181, 16647, 36611, 34670, 16395, 17789, 32696, 16674, 22281, 37655, 16395, 23963, 18980, 25416, 16395, 45982, 16673, 23963, 16395, 23553, 16674, 16691, 35113, 26207, 16674, 46019, 28830, 16397, 16772, 23963, 18980, 25416, 19423, 60570, 23963, 23239, 20440, 16809, 29214, 18344, 16397, 16582, 16582, 27765, 35292, 19335, 16604, 16474, 16386, 37256, 16405, 16476, 16582, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16582, 16582, 16853, 18466, 16958, 28060, 36833, 41315, 23632, 41986, 16604, 16391, 16401, 16399, 16400, 16399, 23881, 16392, 16674, 29311, 48388, 16715, 21589, 21209, 16604, 16391, 24676, 16428, 16702, 60043, 19288, 16604, 16401, 16399, 16392, 16397, 25260, 47037, 26204, 16672, 19246, 16673, 24893, 22825, 19335, 16604, 16391, 21805, 16416, 16392, 28518, 19335, 16958, 21996, 16891, 17655, 16647, 22602 ]
[ 0, 38194, 16604, 16474, 16386, 16466, 16400, 16476, 16582, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16582, 16582, 42123, 16604, 16391, 23465, 16392, 39441, 16704, 18493, 16647, 17154, 39249, 27520, 17751, 16698, 24012, 53461, 16672, 23304, 16397, 21123, 22372, 34992, 16647, 20618, 19419, 16673, 37885, 16715, 16641, 18122, 17015, 16673, 16647, 17394, 16390, 16466, 19971, 16395, 16647, 24206, 16673, 22372, 16672, 19246, 16673, 44595, 25069, 63137, 16704, 19570, 16641, 25316, 16604, 16442, 16415, 16463, 16877, 16397, 16399, 16399, 16408, 16408, 16401, 16402, 16403, 16396, 17094, 29763, 16462, 16771, 16400, 16444, 16397, 23785, 17751, 16698, 35609, 16945, 20736, 16769, 18143, 17875, 16672, 16667, 16819, 16396, 42157, 37878, 17510, 16672, 16647, 24910, 16397, 54196, 16769, 17914, 16671, 35793, 17356, 17274, 37885, 16715, 43956, 17065, 16647, 27260, 16397, 54196, 16843, 17027, 35793, 17356, 20736, 16815, 22207, 23382, 16397, 39913, 16647, 26080, 16673, 20736, 26764, 16674, 22207, 20736, 41631, 16704, 16673, 17362, 22228, 16715, 32768, 36065, 16673, 33099, 16721, 16769, 22818, 16671, 18422, 42859, 19134, 16709, 63351, 16674, 18576, 20771, 16906, 47734, 16734, 20154, 20736, 25069, 16396, 63137, 16785, 16671, 50266, 16641, 18846, 19014, 16673, 16811, 27520, 17751, 16698, 24012, 16672, 25069, 16396, 34469, 17510, 16672, 16647, 55587, 20282, 20049, 16397, 16582, 16582, 27498, 19923, 32975, 16807, 16992, 19970, 16734, 27520, 17751, 16698, 24012, 19014, 16674, 26742, 16672, 22372, 16395, 16715, 18185, 16604, 16442, 16415, 16463, 16877, 16397, 16399, 16399, 16408, 16408, 16401, 16402, 16403, 16396, 16436, 17795, 16472, 16400, 16444, 16395, 16604, 16442, 16415, 16463, 16877, 16397, 16399, 16399, 16408, 16408, 16401, 16402, 16403, 16396, 16417, 17271, 16737, 16400, 16444, 16397, 23638, 39900, 16763, 17494, 16672, 37713, 27879, 16741, 17255, 24053, 16671, 37732, 21348, 24507, 36143, 16647, 37713, 27879, 18826, 17207, 16466, 16673, 16604, 16393, 16417, 26024, 16423, 16402, 16407, 16393, 16674, 16604, 16393, 16417, 26024, 16423, 16402, 16408, 16393, 16604, 16442, 16415, 16463, 16877, 16397, 16399, 16399, 16408, 16408, 16401, 16402, 16403, 16396, 22113, 52248, 16400, 16444, 16397, 16772, 19056, 22228, 16673, 17213, 17142, 37732, 21348, 24507, 16715, 20736, 35793, 17873, 16955, 21216, 16992, 44274, 16672, 19831, 16709, 16647, 20282, 18528, 16604, 16393, 48668, 16699, 37816, 16681, 22686, 16448, 16393, 16397, 16604, 16393, 16417, 26024, 16423, 16402, 16407, 16393, 16674, 16604, 16393, 16417, 26024, 16423, 16402, 16408, 16393, 22366, 16671, 16647, 16859, 16396, 25582, 52369, 52275, 16391, 16401, 16392, 16604, 16393, 16417, 26024, 16423, 16393, 24507, 16604, 16442, 16415, 16463, 16877, 16397, 16399, 16399, 16408, 16408, 16401, 16402, 16403, 16396, 16431, 18934, 16400, 16444, 16674, 16873, 16769, 17917, 16834, 47298, 16604, 16442, 16415, 16463, 16877, 16397, 16399, 16399, 16408, 16408, 16401, 16402, 16403, 16396, 63275, 16400, 16444, 16396, 16396, 16442, 16415, 16463, 16877, 16397, 16399, 16399, 16408, 16408, 16401, 16402, 16403, 16396, 63275, 16401, 16444, 16397, 16875, 17551, 16395, 16604, 16393, 16417, 26024, 16423, 16402, 16407, 16393, 16674, 16604, 16393, 16417, 26024, 16423, 16402, 16408, 16393, 16769, 53193, 33790, 17099, 16709, 16647, 47990, 16395, 16674, 16873, 18634, 40642, 16734, 17142, 16977, 16604, 16393, 16417, 26024, 16423, 16393, 24507, 16395, 30807, 16604, 16393, 16417, 26024, 16423, 16400, 16399, 16399, 16393, 16674, 16604, 16393, 16417, 26024, 16423, 16400, 16399, 16400, 16393, 16604, 16442, 16415, 16463, 16877, 16397, 16399, 16399, 16408, 16408, 16401, 16402, 16403, 16396, 63275, 16400, 16444, 16395, 16604, 16442, 16415, 16463, 16877, 16397, 16399, 16399, 16408, 16408, 16401, 16402, 16403, 16396, 17611, 16706, 16400, 16444, 16396, 16396, 16442, 16415, 16463, 16877, 16397, 16399, 16399, 16408, 16408, 16401, 16402, 16403, 16396, 16435, 16723, 38250, 19701, 16467, 16886, 16400, 16444, 16397, 17958, 17213, 17910, 52369, 52275, 16391, 16401, 16392, 16604, 16393, 16417, 26024, 16423, 16393, 24507, 16769, 20349, 29983, 16809, 18229, 20736, 21268, 16672, 27260, 16674, 22485, 17437, 16873, 16769, 16804, 19294, 17494, 23078, 17131, 23454, 20736, 21268, 16604, 16442, 16415, 16463, 16877, 16397, 16399, 16399, 16408, 16408, 16401, 16402, 16403, 16396, 63275, 16400, 16444, 16397, 43962, 16673, 16604, 16393, 16417, 26024, 16423, 16402, 16408, 16393, 16674, 16604, 16393, 16417, 26024, 16423, 16400, 16399, 16400, 16393, 16672, 19208, 16671, 23083, 16843, 16703, 20440, 17655, 16647, 17726, 20338, 20980, 17586, 16672, 22442, 16699, 37816, 16604, 16442, 16415, 16463, 16877, 16397, 16399, 16399, 16408, 16408, 16401, 16402, 16403, 16396, 16417, 28878, 16400, 16444, 16396, 16396, 16442, 16415, 16463, 16877, 16397, 16399, 16399, 16408, 16408, 16401, 16402, 16403, 16396, 16440, 16990, 16400, 16444, 16674, 16728, 16763, 17494, 16721, 16873, 19947, 16672, 16641, 17055, 16396, 42279, 19278, 18184, 16734, 18295, 20736, 17616, 61631, 24507, 16945, 16604, 16393, 16421, 27076, 18359, 48828, 36695, 28201, 16830, 16439, 18320, 28201, 16402, 16393, 16604, 16391, 16393, 24829, 16430, 16402, 16393, 16392, 16395, 16604, 16393, 16429, 17841, 20146, 18189, 35501, 24460, 34603, 16396, 25820, 20523, 16424, 33124, 44505, 16433, 19989, 16423, 25431, 22063, 48718, 17681, 16403, 16393, 16604, 16391, 16393, 35586, 34855, 16403, 16393, 16392, 16674, 16604, 16393, 16429, 18359, 18957, 37659, 18759, 26239, 37614, 16429, 21421, 28201, 16403, 16393, 16604, 16391, 16393, 28142, 16403, 16393, 16392, 16604, 16442, 16415, 16463, 16877, 16397, 16399, 16399, 16408, 16408, 16401, 16402, 16403, 16396, 16424, 21329, 17063, 16400, 16444, 16397, 19912, 16647, 17055, 16396, 42279, 16734, 20736, 17616, 61631, 24507, 16728, 16843, 16703, 27392, 16721, 16647, 52369, 52275, 16391, 16401, 16392, 16604, 16393, 16417, 26024, 16423, 16393, 37732, 21348, 24507, 18715, 17783, 26525, 22072, 16672, 16647, 20409, 16673, 20736, 17616, 61631, 16674, 22207, 20736, 35793, 17873, 16397, 16772, 16660, 26024, 16423, 22036, 16739, 19989, 43074, 16420, 16604, 16391, 16431, 55328, 16395, 34396, 16671, 17653, 16660, 26024, 16423, 52369, 16392, 16704, 17027, 29983, 16809, 20736, 39441, 17989, 16811, 17055, 16396, 42279, 19278, 16674, 16728, 24046, 16741, 16641, 20809, 41736, 16673, 16604, 16393, 24829, 16430, 16402, 16393, 16395, 16604, 16393, 35586, 34855, 16403, 16393, 16674, 16604, 16393, 28142, 16403, 16395, 16393, 37209, 16671, 19825, 17030, 16396, 53726, 16673, 20736, 35793, 17873, 16604, 16442, 16415, 16463, 16877, 16397, 16399, 16399, 16408, 16408, 16401, 16402, 16403, 16396, 26663, 16400, 16444, 16397, 16739, 55328, 16704, 33910, 16809, 28855, 20356, 18763, 16604, 16391, 16417, 21653, 16392, 16721, 16704, 17027, 17494, 16672, 16811, 17055, 16396, 42279, 19278, 16604, 16442, 16415, 16463, 16877, 16397, 16399, 16399, 16408, 16408, 16401, 16402, 16403, 16396, 16424, 21329, 17063, 16400, 16444, 16395, 16604, 16442, 16415, 16463, 16877, 16397, 16399, 16399, 16408, 16408, 16401, 16402, 16403, 16396, 26663, 16400, 16444, 16397, 16660, 26024, 16423, 52369, 52275, 16391, 16401, 16392, 16843, 27288, 25566, 16734, 16647, 16660, 26024, 16423, 16773, 17528, 16396, 43587, 23876, 30784, 17759, 62551, 18359, 16424, 42040, 16440, 16396, 29352, 28423, 18525, 25650, 18013, 62593, 45099, 19429, 16773, 26878, 18092, 16604, 16391, 16421, 18317, 16392, 16604, 16442, 16415, 16463, 16877, 16397, 16399, 16399, 16408, 16408, 16401, 16402, 16403, 16396, 63275, 16401, 16444, 16395, 16604, 16442, 16415, 16463, 16877, 16397, 16399, 16399, 16408, 16408, 16401, 16402, 16403, 16396, 16440, 23249, 16400, 16444, 16397, 61633, 16704, 23078, 22365, 16672, 27260, 16674, 16872, 16992, 19628, 16671, 16703, 22009, 16715, 20736, 43956, 16604, 16442, 16415, 16463, 16877, 16397, 16399, 16399, 16408, 16408, 16401, 16402, 16403, 16396, 16417, 28878, 16401, 16444, 16396, 16396, 16442, 16415, 16463, 16877, 16397, 16399, 16399, 16408, 16408, 16401, 16402, 16403, 16396, 16440, 23249, 16401, 16444, 16809, 44889, 16647, 20825, 16673, 16647, 24507, 36143, 23738, 20709, 18320, 16430, 19725, 18629, 16751, 16445, 16394, 16445, 16396, 17841, 16431, 28201, 16401, 16604, 16391, 16416, 23328, 16401, 16392, 16604, 16442, 16415, 16463, 16877, 16397, 16399, 16399, 16408, 16408, 16401, 16402, 16403, 16396, 16424, 21329, 17063, 16400, 16444, 16395, 20736, 16691, 18257, 16954, 16773, 27076, 18359, 16830, 16439, 18320, 28201, 16401, 16604, 16391, 24829, 16430, 16401, 16392, 16604, 16442, 16415, 16463, 16877, 16397, 16399, 16399, 16408, 16408, 16401, 16402, 16403, 16396, 62165, 40332, 16400, 16444, 16395, 16604, 16442, 16415, 16463, 16877, 16397, 16399, 16399, 16408, 16408, 16401, 16402, 16403, 16396, 30346, 24390, 16400, 16444, 16674, 16647, 30784, 17759, 16396, 38090, 22998, 33124, 25650, 18013, 20961, 18092, 23271, 16400, 16604, 16391, 64731, 16400, 16392, 16604, 16442, 16415, 16463, 16877, 16397, 16399, 16399, 16408, 16408, 16401, 16402, 16403, 16396, 62165, 40332, 16400, 16444, 16395, 16604, 16442, 16415, 16463, 16877, 16397, 16399, 16399, 16408, 16408, 16401, 16402, 16403, 16396, 16420, 16870, 16400, 16444, 16397, 19912, 54040, 27690, 61633, 20825, 25717, 18184, 16734, 40971, 42203, 29304, 46819, 16674, 24722, 41824, 61633, 29304, 16672, 22372, 16395, 16728, 16843, 16703, 27392, 16721, 61633, 25749, 16604, 16393, 24829, 16430, 16401, 16393, 16674, 16604, 16393, 64731, 16400, 16393, 23273, 59673, 16604, 16442, 16415, 16463, 16877, 16397, 16399, 16399, 16408, 16408, 16401, 16402, 16403, 16396, 62165, 40332, 16400, 16444, 16395, 16604, 16442, 16415, 16463, 16877, 16397, 16399, 16399, 16408, 16408, 16401, 16402, 16403, 16396, 16440, 23249, 16401, 16444, 16395, 16604, 16442, 16415, 16463, 16877, 16397, 16399, 16399, 16408, 16408, 16401, 16402, 16403, 16396, 20237, 22537, 16400, 16444, 16395, 16604, 16442, 16415, 16463, 16877, 16397, 16399, 16399, 16408, 16408, 16401, 16402, 16403, 16396, 16434, 16821, 20314, 16401, 16444, 16397, 18523, 16395, 61633, 50395, 16604, 16393, 64731, 16400, 16393, 16674, 16604, 16393, 24829, 16430, 16401, 16393, 17097, 19028, 20736, 39441, 17199, 17014, 56086, 19298, 16604, 16442, 16415, 16463, 16877, 16397, 16399, 16399, 16408, 16408, 16401, 16402, 16403, 16396, 62165, 40332, 16400, 16444, 16395, 16604, 16442, 16415, 16463, 16877, 16397, 16399, 16399, 16408, 16408, 16401, 16402, 16403, 16396, 20237, 22537, 16400, 16444, 16397, 16772, 29304, 16673, 61633, 16767, 18229, 20736, 16843, 16703, 22360, 16734, 16647, 21057, 16673, 16660, 26024, 16423, 52369, 52275, 16391, 16401, 16392, 20671, 16397, 28106, 16395, 16647, 20639, 56086, 18324, 16673, 61633, 18226, 16734, 18422, 16660, 26024, 16423, 52369, 52275, 16391, 16401, 16392, 22036, 22277, 16671, 16667, 19031, 16673, 20736, 26764, 24739, 17131, 23454, 20736, 21268, 19527, 16395, 16674, 16728, 16763, 20821, 21270, 16721, 16647, 17917, 16673, 16660, 26024, 16423, 52369, 52275, 16391, 16401, 16392, 17699, 16703, 16671, 37820, 20736, 39441, 24739, 16672, 33538, 16734, 61633, 16604, 16442, 16415, 16463, 16877, 16397, 16399, 16399, 16408, 16408, 16401, 16402, 16403, 16396, 63275, 16401, 16444, 16395, 16604, 16442, 16415, 16463, 16877, 16397, 16399, 16399, 16408, 16408, 16401, 16402, 16403, 16396, 16440, 23249, 16400, 16444, 16397, 18523, 16395, 16647, 35233, 16673, 16604, 16393, 16417, 26024, 16423, 16393, 52369, 52275, 16391, 16401, 16392, 24507, 16672, 16647, 16604, 16393, 16431, 55328, 16393, 17055, 42279, 19278, 16395, 16914, 17975, 16396, 42279, 19028, 23454, 20736, 16604, 16391, 19180, 16604, 16393, 16421, 18317, 16393, 16674, 16604, 16393, 64731, 16400, 16393, 16769, 20432, 20290, 16767, 18229, 17743, 16392, 16674, 16914, 17362, 36942, 19028, 20736, 39441, 16804, 17097, 16672, 27260, 16850, 17027, 16672, 22485, 16604, 16391, 16642, 23065, 16671, 20736, 26764, 24507, 16392, 56321, 16811, 33018, 41009, 16397, 26367, 16395, 54226, 18466, 16807, 16992, 19807, 16734, 19130, 16671, 16647, 17917, 16673, 16660, 26024, 16423, 52369, 52275, 16391, 16401, 16392, 26513, 16397, 16875, 16917, 17556, 16395, 20639, 16604, 16393, 16449, 26013, 16455, 16400, 16399, 16399, 16660, 26013, 16455, 16400, 16399, 16400, 16393, 56276, 49967, 16958, 25402, 16671, 17460, 16641, 16922, 22660, 29223, 32907, 20650, 17032, 16647, 20909, 18383, 19028, 20736, 39441, 16395, 17437, 17028, 49494, 16763, 21595, 19028, 20736, 16810, 41840, 16397, 21604, 16991, 20736, 17616, 61631, 24507, 21737, 19576, 16396, 23634, 19298, 16395, 16647, 23273, 23860, 22790, 17132, 16804, 19291, 16647, 22372, 16390, 27592, 16715, 20736, 43956, 16674, 16647, 26080, 16673, 16604, 16393, 24829, 16430, 16401, 16393, 16674, 16604, 16393, 64731, 16400, 16393, 19028, 23454, 16785, 59625, 20736, 21268, 16604, 16442, 16415, 16463, 16877, 16397, 16399, 16399, 16408, 16408, 16401, 16402, 16403, 16396, 16434, 16821, 20314, 16400, 16444, 16397, 16875, 23065, 16671, 16721, 16395, 16672, 17653, 17556, 16395, 16660, 26024, 16423, 52369, 52275, 16391, 16401, 16392, 23860, 22790, 17789, 16604, 16393, 16449, 26013, 16455, 16400, 16399, 16399, 16660, 26013, 16455, 16400, 16399, 16400, 16393, 16674, 16641, 31553, 56276, 16604, 16393, 16449, 26013, 16455, 16402, 16408, 16660, 26013, 16455, 16400, 16399, 16399, 16660, 26013, 16455, 16400, 16399, 16400, 16393, 16958, 25402, 16671, 19291, 20736, 26764, 24739, 16674, 16671, 16807, 18229, 16604, 16393, 24829, 16430, 16401, 16393, 16674, 16604, 16393, 64731, 16400, 16393, 20825, 19028, 23454, 16785, 59625, 20736, 21268, 16604, 16442, 16415, 16463, 16877, 16397, 16399, 16399, 16408, 16408, 16401, 16402, 16403, 16396, 63275, 16402, 16444, 16397, 17170, 24002, 21311, 16763, 18661, 28349, 17805, 16395, 16674, 16728, 16763, 16804, 18613, 22360, 17072, 16811, 21311, 28789, 16671, 16647, 28536, 16721, 16647, 16604, 16393, 16417, 26024, 16423, 16393, 24507, 16769, 16804, 24709, 23078, 19028, 23454, 20736, 21268, 16395, 17014, 20736, 17027, 18467, 16671, 16703, 25214, 19565, 26205, 16430, 16401, 16674, 30784, 16435, 16400, 16604, 16442, 16415, 16463, 16877, 16397, 16399, 16399, 16408, 16408, 16401, 16402, 16403, 16396, 62165, 40332, 16400, 16444, 16395, 16604, 16442, 16415, 16463, 16877, 16397, 16399, 16399, 16408, 16408, 16401, 16402, 16403, 16396, 35153, 16400, 16444, 16397, 23121, 16395, 16647, 17917, 16673, 16647, 16660, 26024 ]
[ 0, 16426, 17217, 22261, 16908, 16395, 38175, 16844, 21441, 16832, 27175, 43950, 16395, 16908, 20672, 16739, 16395, 45858, 16711, 16395, 16738, 22989, 16461, 17118, 16739, 16397, 32013, 39817, 34787, 41749, 16661, 16672, 16647, 20697, 16767, 16604, 16406, 16435, 17655, 45070, 40069, 16674, 25732, 26829, 27175, 19338, 16691, 19886, 24349, 16397, 29940, 18042, 16645, 18426, 16397, 16604, 16401, 16399, 16400, 16408, 16410, 16407, 16400, 16409, 16401, 16404, 16404, 16400, 16396, 16396, 16401, 16404, 16405, 16404, 16397, 16604, 16400, 16399, 16397, 16400, 16399, 16399, 16401, 16398, 16460, 19226, 16397, 16401, 16406, 16404, 16408, 16403, 16604, 16402, 16399, 16403, 16401, 16400, 16403, 16403, 16407, 16582, 16582, 16393, 16393, 56823, 17624, 16393, 16393, 16582, 16582, 17635, 17913, 16763, 29584, 28292, 16809, 16647, 20158, 20468, 20292, 32338, 27660, 16604, 16405, 16406, 16399, 16405, 16401, 16408, 16793, 57504, 40377, 16397, 16582, 16582, 16400, 16397, 20325, 22082, 50397, 19429, 16604, 16474, 16386, 16460, 19226, 16401, 16406, 16404, 16408, 16403, 16396, 19810, 16396, 16399, 16399, 16399, 16404, 16476, 16582, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16582, 16582, 16430, 57774, 33928, 20062, 25928, 30112, 16834, 36845, 23693, 16709, 42645, 16674, 26755, 28365, 22658, 17274, 16741, 18648, 16730, 28021, 16674, 48584, 55418, 20147, 16604, 16391, 16421, 20138, 16392, 16395, 40377, 16704, 24280, 17255, 17405, 16672, 16647, 31405, 18918, 18205, 16397, 16442, 16400, 16444, 16391, 16386, 16460, 19226, 16401, 16406, 16404, 16408, 16403, 16396, 54690, 16396, 16399, 16399, 16399, 16400, 16392, 16474, 18452, 16396, 18926, 16412, 16385, 18452, 16385, 16476, 16395, 16604, 16442, 16401, 16444, 16391, 16386, 16460, 19226, 16401, 16406, 16404, 16408, 16403, 16396, 54690, 16396, 16399, 16399, 16399, 16401, 16392, 16474, 18452, 16396, 18926, 16412, 16385, 18452, 16385, 16476, 16395, 16604, 16442, 16402, 16444, 16391, 16386, 16460, 19226, 16401, 16406, 16404, 16408, 16403, 16396, 54690, 16396, 16399, 16399, 16399, 16402, 16392, 16474, 18452, 16396, 18926, 16412, 16385, 18452, 16385, 16476, 18483, 16673, 16647, 17736, 28613, 16673, 40377, 16704, 17073, 30386, 16671, 20114, 65194, 42603, 21898, 32113, 17274, 16741, 16653, 38982, 35442, 16785, 23820, 18860, 16647, 29835, 17274, 16741, 16647, 20697, 30444, 16397, 31948, 16395, 18919, 16395, 17213, 21003, 16769, 23693, 18138, 16709, 41161, 40377, 20625, 17655, 16647, 18122, 17679, 16673, 24588, 59384, 18751, 16925, 16809, 34787, 16397, 17376, 16667, 18185, 16395, 16672, 55366, 16390, 16653, 57774, 40061, 20728, 27175, 25567, 19298, 16700, 16477, 16401, 16477, 27175, 62931, 40377, 16704, 16647, 19749, 16671, 20897, 33167, 16672, 16647, 20697, 30444, 16395, 16442, 16403, 16444, 16391, 16386, 16460, 19226, 16401, 16406, 16404, 16408, 16403, 16396, 54690, 16396, 16399, 16399, 16399, 16403, 16392, 16474, 18452, 16396, 18926, 16412, 16385, 18452, 16385, 16476, 16395, 16604, 16442, 16404, 16444, 16391, 16386, 16460, 19226, 16401, 16406, 16404, 16408, 16403, 16396, 54690, 16396, 16399, 16399, 16399, 16404, 16392, 16474, 18452, 16396, 18926, 16412, 16385, 18452, 16385, 16476, 25743, 16672, 16647, 25928, 16673, 63733, 54644, 20740, 16395, 16641, 21041, 30300, 52929, 20053, 16672, 17968, 16395, 19749, 16700, 16477, 16400, 16477, 27175, 16674, 16700, 16477, 16401, 16477, 27175, 62931, 40377, 16704, 18143, 20888, 16671, 23204, 16647, 21057, 16673, 16647, 27242, 16674, 16671, 20503, 16715, 19056, 54371, 31225, 27303, 16397, 16442, 16401, 16444, 16391, 16386, 16460, 19226, 16401, 16406, 16404, 16408, 16403, 16396, 54690, 16396, 16399, 16399, 16399, 16401, 16392, 16474, 18452, 16396, 18926, 16412, 16385, 18452, 16385, 16476, 16875, 16922, 18961, 16653, 57774, 33928, 21003, 16673, 40377, 16395, 17274, 16741, 18923, 16690, 16666, 58117, 16604, 16391, 17347, 17154, 18545, 20618, 30300, 52929, 27242, 16392, 16395, 35605, 40377, 22658, 17789, 44759, 16424, 16442, 16405, 16444, 16391, 16386, 16460, 19226, 16401, 16406, 16404, 16408, 16403, 16396, 54690, 16396, 16399, 16399, 16399, 16405, 16392, 16474, 18452, 16396, 18926, 16412, 16385, 18452, 16385, 16476, 16674, 16759, 21610, 28365, 16442, 16406, 16444, 16391, 16386, 16460, 19226, 16401, 16406, 16404, 16408, 16403, 16396, 54690, 16396, 16399, 16399, 16399, 16406, 16392, 16474, 18452, 16396, 18926, 16412, 16385, 18452, 16385, 16476, 16807, 16992, 19628, 16395, 16850, 19333, 25928, 16704, 17363, 18138, 16709, 41161, 20625, 16397, 16442, 16402, 16444, 16391, 16386, 16460, 19226, 16401, 16406, 16404, 16408, 16403, 16396, 54690, 16396, 16399, 16399, 16399, 16402, 16392, 16474, 18452, 16396, 18926, 16412, 16385, 18452, 16385, 16476, 16582, 16582, 18313, 18741, 17356, 19165, 19984, 35605, 23239, 16673, 16647, 32113, 19423, 16395, 16741, 16843, 16703, 25214, 17176, 16676, 18444, 16715, 18185, 16809, 24729, 18783, 18983, 16817, 16395, 16442, 16407, 16444, 16391, 16386, 16460, 19226, 16401, 16406, 16404, 16408, 16403, 16396, 54690, 16396, 16399, 16399, 16399, 16407, 16392, 16474, 18452, 16396, 18926, 16412, 16385, 18452, 16385, 16476, 16769, 20349, 34203, 16397, 18523, 16395, 35605, 25594, 31586, 16809, 18238, 16673, 40377, 21384, 17301, 27560, 18032, 16395, 16944, 16961, 17539, 16672, 18650, 20697, 27175, 56342, 40095, 16395, 16741, 17204, 16741, 20475, 40282, 16397, 16442, 16408, 16444, 16391, 16386, 16460, 19226, 16401, 16406, 16404, 16408, 16403, 16396, 54690, 16396, 16399, 16399, 16399, 16408, 16392, 16474, 18452, 16396, 18926, 16412, 16385, 18452, 16385, 16476, 34787, 41749, 16661, 16604, 16391, 26533, 16421, 16392, 16704, 16641, 19193, 22204, 18197, 16715, 22355, 21102, 19803, 16673, 24588, 40644, 18032, 16674, 16977, 34787, 27175, 21670, 23239, 16397, 16442, 16400, 16399, 16444, 16391, 16386, 16460, 19226, 16401, 16406, 16404, 16408, 16403, 16396, 54690, 16396, 16399, 16399, 16400, 16399, 16392, 16474, 18452, 16396, 18926, 16412, 16385, 18452, 16385, 16476, 16999, 20760, 16641, 32297, 26008, 38420, 16671, 37820, 16641, 19857, 21686, 23777, 16715, 17492, 24588, 18383, 16397, 16875, 17435, 27624, 33606, 16707, 25366, 16843, 16703, 21627, 17560, 32696, 16673, 16647, 34787, 16421, 20934, 16395, 31771, 39174, 16673, 16647, 34787, 16421, 44280, 16397, 16442, 16400, 16399, 16444, 16391, 16386, 16460, 19226, 16401, 16406, 16404, 16408, 16403, 16396, 54690, 16396, 16399, 16399, 16400, 16399, 16392, 16474, 18452, 16396, 18926, 16412, 16385, 18452, 16385, 16476, 32652, 16734, 17073, 19629, 16671, 20165, 28859, 16700, 16477, 16400, 16477, 16674, 16700, 16477, 16401, 16477, 16395, 34787, 16421, 19933, 16641, 20075, 16671, 16647, 18234, 16673, 33403, 35605, 22021, 16672, 16667, 22547, 22305, 16674, 16672, 22439, 18187, 35771, 18032, 16397, 16582, 16582, 19494, 16673, 16647, 17736, 21532, 16672, 16653, 38982, 28365, 16704, 16672, 27175, 32840, 16674, 17181, 27175, 32840, 20697, 22846, 16395, 18143, 19970, 16734, 20697, 17364, 24362, 16397, 16442, 16400, 16400, 16444, 16391, 16386, 16460, 19226, 16401, 16406, 16404, 16408, 16403, 16396, 54690, 16396, 16399, 16399, 16400, 16400, 16392, 16474, 18452, 16396, 18926, 16412, 16385, 18452, 16385, 16476, 16395, 16604, 16442, 16400, 16401, 16444, 16391, 16386, 16460, 19226, 16401, 16406, 16404, 16408, 16403, 16396, 54690, 16396, 16399, 16399, 16400, 16401, 16392, 16474, 18452, 16396, 18926, 16412, 16385, 18452, 16385, 16476, 16395, 16604, 16442, 16400, 16402, 16444, 16391, 16386, 16460, 19226, 16401, 16406, 16404, 16408, 16403, 16396, 54690, 16396, 16399, 16399, 16400, 16402, 16392, 16474, 18452, 16396, 18926, 16412, 16385, 18452, 16385, 16476, 16772, 22846, 18466, 16672, 55121, 16822, 27175, 23761, 17586, 16721, 37193, 40095, 16674, 34003, 17161, 19796, 16647, 18734, 19521, 16397, 27397, 18998, 16647, 44280, 16961, 21033, 22846, 27175, 21670, 40095, 16395, 16850, 19749, 39174, 22658, 16769, 16804, 29682, 16715, 16647, 17788, 20697, 19617, 18443, 16671, 16647, 18211, 16604, 16402, 20541, 16397, 19833, 16395, 16641, 16655, 18268, 27175, 19295, 24362, 25022, 16704, 22484, 17405, 16671, 18123, 16674, 21033, 16647, 20697, 22846, 16397, 16442, 16402, 16444, 16391, 16386, 16460, 19226, 16401, 16406, 16404, 16408, 16403, 16396, 54690, 16396, 16399, 16399, 16399, 16402, 16392, 16474, 18452, 16396, 18926, 16412, 16385, 18452, 16385, 16476, 16395, 16604, 16442, 16400, 16400, 16444, 16391, 16386, 16460, 19226, 16401, 16406, 16404, 16408, 16403, 16396, 54690, 16396, 16399, 16399, 16400, 16400, 16392, 16474, 18452, 16396, 18926, 16412, 16385, 18452, 16385, 16476, 17170, 21384, 16667, 27205, 20503, 21568, 16767, 16647, 17291, 16673, 16647, 34787, 33187, 16671, 16703, 25350, 16671, 16647, 20475, 16944, 22819, 17099, 16647, 17231, 16673, 17785, 63515, 20879, 20028, 60239, 16672, 18801, 16673, 16647, 20697, 16395, 33210, 16647, 18058, 16397, 23702, 16395, 16641, 18306, 27175, 37571, 18494, 27175, 26452, 20697, 25623, 43128, 16704, 17405, 16395, 16944, 19522, 16641, 17362, 18070, 28886, 16433, 16442, 16402, 16444, 16391, 16386, 16460, 19226, 16401, 16406, 16404, 16408, 16403, 16396, 54690, 16396, 16399, 16399, 16399, 16402, 16392, 16474, 18452, 16396, 18926, 16412, 16385, 18452, 16385, 16476, 16674, 20503, 36974, 16395, 16850, 16944, 20869, 63544, 16647, 23384, 16673, 25384, 39174, 16809, 18238, 16673, 26965, 28365, 16397, 16442, 16400, 16403, 16444, 16391, 16386, 16460, 19226, 16401, 16406, 16404, 16408, 16403, 16396, 54690, 16396, 16399, 16399, 16400, 16403, 16392, 16474, 18452, 16396, 18926, 16412, 16385, 18452, 16385, 16476, 22872, 16395, 16647, 28170, 27175, 19064, 24540, 16644, 16906, 18370, 16872, 16667, 21408, 17301, 16700, 16477, 16400, 16477, 16395, 20278, 16767, 17362, 18676, 16397, 16442, 16400, 16404, 16444, 16391, 16386, 16460, 19226, 16401, 16406, 16404, 16408, 16403, 16396, 54690, 16396, 16399, 16399, 16400, 16404, 16392, 16474, 18452, 16396, 18926, 16412, 16385, 18452, 16385, 16476, 21656, 18020, 16673, 16604, 16402, 16671, 16604, 16404, 16648, 21384, 16641, 17301, 27329, 16673, 16647, 34787, 16421, 23286, 16671, 51261, 16647, 34787, 23239, 16604, 16391, 16435, 16477, 16400, 16477, 16395, 16435, 16477, 16401, 16477, 16392, 34725, 16397, 23121, 16395, 17655, 16641, 32297, 26008, 20934, 16734, 16641, 17785, 17679, 16673, 34890, 50134, 16704, 16804, 39273, 16395, 33418, 17912, 25384, 17005, 23789, 16397, 24229, 16395, 16641, 17005, 27175, 48594, 42116, 32696, 23950, 16395, 19294, 21627, 16672, 34787, 16421, 16395, 16442, 16400, 16399, 16444, 16391, 16386, 16460, 19226, 16401, 16406, 16404, 16408, 16403, 16396, 54690, 16396, 16399, 16399, 16400, 16399, 16392, 16474, 18452, 16396, 18926, 16412, 16385, 18452, 16385, 16476, 16395, 16604, 16442, 16400, 16405, 16444, 16391, 16386, 16460, 19226, 16401, 16406, 16404, 16408, 16403, 16396, 54690, 16396, 16399, 16399, 16400, 16405, 16392, 16474, 18452, 16396, 18926, 16412, 16385, 18452, 16385, 16476, 16395, 16604, 16442, 16400, 16406, 16444, 16391, 16386, 16460, 19226, 16401, 16406, 16404, 16408, 16403, 16396, 54690, 16396, 16399, 16399, 16400, 16406, 16392, 16474, 18452, 16396, 18926, 16412, 16385, 18452, 16385, 16476, 16395, 16604, 16442, 16400, 16407, 16444, 16391, 16386, 16460, 19226, 16401, 16406, 16404, 16408, 16403, 16396, 54690, 16396, 16399, 16399, 16400, 16407, 16392, 16474, 18452, 16396, 18926, 16412, 16385, 18452, 16385, 16476, 16395, 16604, 16442, 16400, 16408, 16444, 16391, 16386, 16460, 19226, 16401, 16406, 16404, 16408, 16403, 16396, 54690, 16396, 16399, 16399, 16400, 16408, 16392, 16474, 18452, 16396, 18926, 16412, 16385, 18452, 16385, 16476, 37193, 17021, 27175, 16791, 16645, 16940, 19938, 16672, 17492, 16673, 16647, 18403, 34787, 16421, 21014, 16397, 16442, 16401, 16399, 16444, 16391, 16386, 16460, 19226, 16401, 16406, 16404, 16408, 16403, 16396, 54690, 16396, 16399, 16399, 16401, 16399, 16392, 16474, 18452, 16396, 18926, 16412, 16385, 18452, 16385, 16476, 17170, 25231, 17199, 17014, 22722, 16734, 16819, 47239, 29886, 17274, 16741, 19535, 28365, 16734, 28800, 17731, 17036, 35599, 16395, 16442, 16400, 16405, 16444, 16391, 16386, 16460, 19226, 16401, 16406, 16404, 16408, 16403, 16396, 54690, 16396, 16399, 16399, 16400, 16405, 16392, 16474, 18452, 16396, 18926, 16412, 16385, 18452, 16385, 16476, 16944, 16769, 16672, 19172, 28456, 16671, 17021, 27175, 16791, 16645, 16940, 19938, 16397, 16442, 16401, 16400, 16444, 16391, 16386, 16460, 19226, 16401, 16406, 16404, 16408, 16403, 16396, 54690, 16396, 16399, 16399, 16401, 16400, 16392, 16474, 18452, 16396, 18926, 16412, 16385, 18452, 16385, 16476, 16772, 17021, 27175, 16791, 16645, 16940, 19938, 17875, 16672, 42116, 32696, 32541, 16769, 17240, 25012, 16767, 17362, 18676, 16395, 17187, 16873, 17539, 16672, 34003, 17161, 16395, 16442, 16401, 16401, 16444, 16391, 16386, 16460, 19226, 16401, 16406, 16404, 16408, 16403, 16396, 54690, 16396, 16399, 16399, 16401, 16401, 16392, 16474, 18452, 16396, 18926, 16412, 16385, 18452, 16385, 16476, 21099, 16809, 18354, 17736, 18676, 16672, 35523, 30165, 17186, 16604, 16391, 54187, 16672, 16647, 20697, 19599, 18443, 16671, 17259, 18398, 27175, 16467, 37083, 27175, 31142, 40851, 16392, 16395, 16741, 17204, 16741, 16647, 21057, 16673, 18650, 24801, 16673, 17021, 27175, 16791, 16645, 16795, 50977, 20728, 17473, 16647, 20697, 16397, 16582, 16582, 17071, 16811, 16985, 16395, 16641, 32013, 39817, 32696, 23950, 16704, 17405, 16395, 16944, 16704, 16922, 28456, 17032, 42116, 32696, 16671, 17021, 27175, 16791, 16645, 16940, 19938, 16395, 16850, 16944, 16704, 21777, 17827, 17005, 27175, 48594, 16397, 16442, 16401, 16402, 16444, 16391, 16386, 16460, 19226, 16401, 16406, 16404, 16408, 16403, 16396, 54690, 16396, 16399, 16399, 16401, 16402, 16392, 16474, 18452, 16396, 18926, 16412, 16385, 18452, 16385, 16476, 18419, 17274, 16641, 32013, 39817, 32696, 23950, 16395, 33606, 16707, 25366, 40095, 16807, 16641, 16922, 34436, 19927, 19739, 16734, 42116, 32696, 16395, 16944, 23361, 16647, 37449, 60330, 16673, 16647, 40095, 16672, 16647, 34787, 16421, 19521, 18502, 16397, 16442, 16400, 16399, 16444, 16391, 16386, 16460, 19226, 16401, 16406, 16404, 16408, 16403, 16396, 54690, 16396, 16399, 16399, 16400, 16399, 16392, 16474, 18452, 16396, 18926, 16412, 16385, 18452, 16385, 16476, 16395, 16604, 16442, 16401, 16399, 16444, 16391, 16386, 16460, 19226, 16401, 16406, 16404, 16408, 16403, 16396, 54690, 16396, 16399, 16399 ]
[ 0, 19494, 16673, 16647, 17154, 18051, 16471, 16661, 19126, 16672, 21793, 16396, 24096, 18496, 16704, 18515, 17953, 21793, 21457, 19172, 23157, 34409, 16397, 16772, 18187, 19481, 16671, 16811, 18283, 16395, 16741, 16732, 17699, 23344, 16395, 16704, 19585, 16395, 16673, 18067, 16410, 16991, 17953, 18908, 17047, 16672, 16811, 18034, 21231, 16674, 19425, 16977, 18908, 17047, 16395, 16674, 17132, 16859, 16767, 17965, 17608, 16604, 16400, 16405, 16404, 16403, 16395, 24959, 16671, 16829, 16859, 17262, 17181, 16647, 24545, 18858, 16397, 17544, 16848, 16395, 16647, 17324, 28764, 19126, 16931, 18908, 31636, 16396, 17056, 16661, 16769, 17072, 17259, 18908, 16604, 16894, 60823, 16900, 16958, 19423, 16395, 17072, 17259, 34409, 17132, 16873, 17304, 16674, 17818, 17132, 16873, 17304, 34409, 16414, 16582, 16582, 16853, 23707, 16671, 17213, 19126, 16769, 19680, 16395, 16674, 42986, 16807, 16992, 32529, 16715, 16991, 17005, 17030, 18515, 17953, 40618, 24469, 17797, 18319, 16741, 34409, 16672, 17970, 16671, 19238, 17007, 17205, 35956, 43855, 16395, 16709, 16647, 16917, 17459, 16395, 16809, 18372, 23508, 16983, 16674, 41529, 32392, 16395, 16741, 38162, 30364, 16796, 16397, 22480, 17768, 17646, 16728, 16395, 16785, 18515, 16395, 16709, 16647, 16977, 17459, 16395, 16873, 24469, 16977, 18908, 17047, 16604, 16894, 16676, 16667, 17114, 16673, 40079, 16395, 16900, 24203, 16671, 38165, 16914, 17953, 21800, 16715, 23336, 16395, 16994, 16741, 19255, 31636, 21192, 17132, 16397, 16772, 19591, 18937, 16721, 16395, 28369, 16395, 17490, 17578, 16769, 18159, 16397, 16604, 16474, 27292, 16919, 16476, 16582, 16582, 17071, 16641, 28764, 27360, 35486, 16811, 32408, 16395, 16778, 16397, 20742, 60641, 17475, 18937, 16721, 17953, 18908, 17047, 16807, 23157, 34409, 16604, 16894, 16642, 17492, 16673, 16647, 44093, 19170, 19619, 16674, 18242, 16672, 17155, 17731, 16721, 17410, 16652, 19869, 33186, 16395, 16900, 16767, 17965, 17608, 27748, 22433, 16674, 16888, 19778, 20858, 18167, 16671, 19124, 16672, 23293, 16672, 16604, 16400, 16405, 16404, 16403, 16671, 19646, 16647, 18373, 16673, 16914, 54094, 17919, 36497, 16395, 16641, 18908, 16947, 16395, 18157, 23607, 16658, 16395, 16715, 17417, 16397, 16582, 16582, 18111, 16715, 16641, 17005, 16395, 17953, 18908, 17047, 17120, 17199, 16604, 16894, 17056, 16900, 16647, 18373, 16673, 19255, 54094, 17919, 36915, 16672, 23293, 16741, 17204, 16397, 22666, 40618, 23157, 34409, 16672, 23448, 16809, 16604, 16400, 16406, 16401, 16403, 16674, 16672, 31514, 16809, 16604, 16400, 16406, 16407, 16402, 16410, 16809, 16604, 16400, 16406, 16408, 16399, 16395, 16604, 16403, 16407, 18908, 17047, 16672, 28682, 23157, 16604, 16400, 16403, 16402, 34409, 16397, 18483, 20278, 42363, 18908, 28682, 34677, 20472, 30917, 36814, 16604, 16894, 32799, 16697, 24469, 16674, 19425, 51809, 16659, 16715, 16647, 24310, 19972, 16395, 16900, 20742, 60641, 17475, 19792, 16397, 16582, 16582, 31621, 16647, 17154, 17399, 60449, 16785, 30619, 19443, 16671, 22264, 16647, 17262, 16673, 18908, 17047, 16671, 17304, 34409, 16763, 16647, 19978, 17366, 16709, 16647, 48642, 16673, 16647, 24545, 18858, 16809, 16641, 17585, 16673, 17953, 17047, 16673, 20241, 16672, 17360, 29656, 16395, 21935, 16914, 18373, 16671, 16647, 38675, 18440, 16395, 16672, 17015, 17172, 16873, 16958, 49936, 16715, 16914, 17304, 50573, 61077, 16409, 16604, 16894, 16853, 17953, 35425, 19971, 16604, 16442, 41454, 16444, 16673, 31117, 16604, 17445, 17304, 34409, 16395, 16674, 16873, 16769, 61431, 24937, 16671, 16914, 23389, 18247, 16604, 17445, 16674, 16873, 16769, 20008, 16671, 32123, 16914, 19546, 16715, 16968, 21859, 16397, 17513, 16807, 17028, 38466, 16715, 57752, 17502, 16410, 17028, 17652, 16715, 16647, 18827, 16395, 16850, 16873, 16807, 22460, 16715, 31117, 16604, 17445, 17513, 16868, 19080, 16715, 16968, 16672, 16604, 16400, 16407, 16405, 16400, 16741, 16873, 27382, 16604, 16442, 16928, 22264, 17360, 29656, 16815, 16647, 20178, 16444, 16672, 16604, 16400, 16407, 16400, 16403, 16396, 16400, 16407, 16400, 16404, 16397, 16900, 16582, 16582, 21970, 20002, 16958, 16395, 16671, 17646, 16728, 44219, 16697, 16395, 18539, 17523, 17707, 32944, 16409, 17376, 38939, 28114, 50914, 16674, 20288, 16796, 16397, 36574, 39886, 24538, 16397, 21458, 16395, 18266, 16647, 18088, 23545, 16891, 16395, 16991, 16673, 17213, 17396, 18908, 18102, 22257, 16604, 16400, 16403, 18838, 16673, 16641, 51645, 28414, 16673, 16604, 16403, 16403, 16399, 18102, 16674, 16958, 25095, 16809, 16647, 27313, 16672, 17907, 16604, 16400, 16407, 16405, 16400, 17065, 16604, 16894, 17347, 30535, 58349, 16395, 31117, 16395, 16900, 62138, 16671, 19080, 16671, 22264, 16647, 38675, 18440, 16397, 21604, 18201, 17028, 24796, 18814, 16395, 16647, 58349, 17205, 56905, 16641, 25442, 16673, 16604, 16400, 16395, 16399, 16399, 16399, 26863, 17205, 28635, 16866, 16647, 17092, 24545, 18858, 20666, 16671, 21212, 18908, 22345, 16397, 16582, 16582, 18811, 17360, 29656, 21905, 16672, 19164, 18932, 16604, 16400, 16407, 16405, 16401, 16671, 16647, 21383, 16395, 16931, 16604, 16400, 16399, 18448, 16673, 17213, 18102, 16395, 16804, 21572, 16641, 21116, 16395, 17178, 22257, 16647, 30535, 24880, 16398, 25502, 17421, 16670, 16743, 31601, 41105, 16671, 22264, 16647, 21383, 16397, 16604, 16474, 27292, 16919, 16476, 16582, 16582, 16474, 27292, 16919, 16476, 16582, 16582, 18473, 17016, 16829, 16647, 20492, 20246, 16673, 18908, 31636, 21192, 16674, 16914, 34409, 17921, 16907, 16414, 16875, 16604, 16400, 16407, 16402, 16399, 16395, 16647, 16987, 17154, 25289, 23954, 16809, 30364, 16796, 16397, 22480, 17768, 16395, 16931, 16604, 16400, 16402, 16397, 16406, 18448, 16604, 16391, 16402, 16400, 16408, 16395, 16404, 16408, 16408, 16392, 16673, 16647, 18908, 19971, 16763, 17953, 16397, 19525, 17213, 16395, 16604, 16402, 16395, 16406, 16406, 16405, 17953, 51809, 16659, 23157, 16604, 16400, 16401, 16395, 16408, 16399, 16406, 34409, 16395, 16891, 16673, 16641, 18804, 16673, 16604, 16401, 16395, 16399, 16399, 16408, 16395, 16399, 16403, 16402, 34409, 23157, 16672, 16647, 18734, 18303, 18644, 16395, 16859, 16647, 20246, 16673, 34409, 23157, 16809, 18908, 17047, 17030, 16858, 16763, 18761, 17785, 16809, 23576, 16734, 16647, 17679, 23157, 16809, 19255, 17047, 16397, 16604, 16474, 27292, 16919, 16476, 16582, 16582, 16474, 27292, 16919, 16476, 17465, 17818, 17132, 17213, 17953, 18908, 17047, 17304, 17213, 34409, 16414, 16582, 16582, 17409, 16704, 23655, 16671, 22921, 16721, 16647, 16604, 16403, 16401, 18448, 16673, 16647, 17953, 18908, 31636, 21192, 16929, 23157, 16994, 16917, 31636, 18366, 23157, 16641, 17797, 19154, 16671, 19238, 16721, 17418, 16395, 16741, 17132, 17259, 16673, 16647, 16977, 18908, 31636, 21192, 16929, 23157, 17097, 22129, 21036, 20246, 16673, 34409, 16397, 16604, 16474, 27292, 16919, 16476, 16582, 16582, 16474, 16466, 22567, 16476, 16582, 16582, 16474, 27292, 16919, 16476, 20742, 60641, 17475, 39718, 16395, 17135, 37120, 16647, 19591, 16395, 16721, 16604, 16894, 16654, 16961, 16703, 16641, 19348, 24969, 16671, 25103, 22921, 16721, 17953, 40618, 23157, 16914, 33170, 16785, 17968, 17097, 16715, 18372, 54697, 23185, 16397, 16900, 16604, 16474, 27292, 16919, 16476, 16875, 16977, 18878, 16395, 17154, 18908, 31636, 21192, 18366, 23157, 17797, 18319, 16671, 19238, 17007, 16395, 16850, 17963, 17441, 17259, 19678, 16671, 33186, 16671, 38165, 16647, 21800, 16673, 16977, 18908, 17047, 16715, 23336, 16397, 16582, 16582, 16474, 27292, 16919, 16476, 16582, 16582, 17991, 16742, 16958, 62508, 16641, 16604, 16894, 44641, 17296, 28383, 16673, 19899, 22296, 16395, 16900, 16647, 18211, 17953, 18908, 31636, 23730, 16961, 16703, 16672, 16728, 16409, 16582, 16582, 22638, 41436, 26778, 16466, 24289, 16697, 17205, 22687, 16641, 31636, 16672, 25077, 17281, 19044, 16395, 16793, 16397, 16418, 16397, 16395, 16647, 19008, 16673, 16667, 33817, 17357, 19082, 16674, 16968, 21461, 16395, 18157, 30478, 24289, 16697, 17205, 28635, 16866, 16667, 60277, 20426, 18740, 16885, 16674, 17763, 30433, 16672, 17446, 22510, 16672, 17360, 23854, 16397, 17376, 44702, 37450, 18998, 16646, 18842, 16891, 16672, 19899, 29664, 57606, 16672, 16647, 18764, 16395, 16604, 16400, 16406, 16408, 16399, 16396, 16400, 16408, 16400, 16404, 16395, 16809, 16647, 18334, 16604, 16400, 16407, 16401, 16399, 16466, 16395, 24289, 16697, 23157, 17567, 20282, 16964, 16674, 16604, 16400, 16405, 16402, 34409, 16395, 16674, 17199, 28107, 17567, 19255, 27095, 16756, 16671, 22335, 16888, 19329, 16384, 17046, 20728, 39677, 18817, 17968, 16734, 16641, 31636, 19099, 20472, 56096, 16395, 16674, 16733, 21420, 34812, 17007, 16397, 24289, 16697, 19129, 16888, 22510, 17014, 16641, 23009, 16715, 16604, 16387, 16400, 16403, 16395, 16408, 16405, 16401, 16733, 16955, 17055, 16396, 52605, 16734, 16888, 19255, 18519, 20172, 16395, 18157, 16395, 18112, 18443, 16397, 18916, 16888, 20172, 16743, 16466, 29075, 16395, 16647, 23009, 16763, 24289, 16697, 16743, 16466, 24654, 22393, 16395, 16674, 16733, 16763, 23750, 16671, 17839, 16728, 16397, 16582, 16582, 16474, 27292, 16919, 16476, 16582, 16582, 17375, 16928, 16856, 24828, 17495, 17901, 16674, 16888, 19778, 37631, 31029, 16835, 23157, 16922, 17032, 16604, 16406, 16399, 34409, 16672, 16687, 16885, 19976, 39097, 17014, 16873, 21555, 16397, 21937, 16671, 21902, 27548, 16642, 16395, 16809, 16604, 16400, 16407, 16405, 16403, 16395, 16672, 16647, 34108, 16673, 16647, 24545, 18858, 16395, 16873, 23157, 16604, 16400, 16399, 16399, 34409, 16395, 18920, 16604, 16387, 16408, 16403, 16395, 16406, 16399, 16399, 16397, 22191, 65521, 16395, 16733, 19262, 16647, 17731, 16743, 16466, 17092, 18908, 64649, 16395, 23604, 17415, 16604, 16400, 16407, 16405, 16407, 16674, 16604, 16400, 16407, 16406, 16407, 16397, 16582, 16582, 37032, 16759, 17013, 19838, 16763, 16641, 24974, 17885, 16737, 16674, 16641, 29397, 16929, 23157, 16647, 16957, 16397, 26017, 55627, 56442, 16395, 16604, 16402, 16402, 20990, 21631, 16673, 17360, 29656, 16397, 16875, 16647, 19164, 16604, 16400, 16407, 16401, 16399, 16466, 16395, 19824, 16830, 16397, 17548, 18832, 22286, 16907, 16395, 16733, 20164, 16604, 16387, 16406, 16395, 16399, 16399, 16399, 16715, 20575, 21966, 34409, 16395, 18514, 31776, 16674, 17142, 17968, 16397, 17046, 32323, 16858, 16647, 17210, 16671, 23293, 16672, 16647, 16604, 16400, 16407, 16402, 16399, 16466, 16674, 24469, 16604, 16401, 16403, 16922, 16397, 37178, 16395, 16733, 16961, 17304, 16604, 16406, 16406, 34409, 16397, 18196, 16641, 22104, 26885, 17877, 31636, 21892, 64425, 16604, 16407, 16404, 16673, 16888, 34409, 16674, 36368, 17007, 17021, 16671, 60436, 16395, 16759, 17013, 19838, 30898, 16721, 16733, 19816, 16743, 16467, 16829, 16721, 16395, 17172, 16604, 16894, 17224, 17654, 16704, 17441, 24906, 38935, 16672, 16647, 43522, 16680, 16673, 16858, 16721, 21272, 17786, 16647, 18154, 25203, 16397, 16900, 16582, 16582, 16474, 27292, 16919, 16476, 16582, 16582, 23741, 16673, 16907, 16868, 17393, 16647, 18541, 16721, 16991, 18908, 17047, 21231, 16674, 19425, 16977, 18908, 17047, 16715, 23336, 18761, 17576, 29701, 16395, 16741, 17204, 16742, 17208, 16397, 17403, 18201, 16647, 17301, 18496, 16673, 17568, 35888, 16672, 16647, 18908, 18205, 16395, 16944, 22443, 16778, 16397, 20842, 17249, 16741, 18334, 16741, 16647, 16604, 16400, 16407, 16404, 16399, 16466, 20101, 16741, 16604, 16894, 16448, 20175, 17989, 16641, 20175, 16395, 16900, 16674, 18201, 16647, 18814, 16673, 21793, 51681, 16672, 16647, 17301, 18496, 16673, 16647, 20196, 16396, 56609, 31636, 19972, 16395, 20670, 16742, 17208, 16804, 16703, 22924, 16721, 16742, 16843, 17393, 22879, 19796, 18908, 18496, 16673, 16994, 16931, 17155, 19373, 16673, 18206, 20937, 16395, 16815, 16647, 17154, 34140, 16671, 16647, 17154, 16733, 52521, 16395, 16721, 16742, 17393, 16672, 16998, 16977, 17047, 16743, 16466, 18496, 16397, 16582, 16582, 16853, 17203, 18541, 16395, 31593, 19884, 16395, 16704, 16721, 16809, 16604, 16400, 16407, 16405, 16399, 16647, 17679, 16673, 17953, 40618, 40619, 34409, 16955, 58280, 27364, 16815, 16604, 16400, 16407, 16402, 16399, 16397, 16875, 17551, 16395, 44702, 37450, 18998, 16646, 39718, 16721, 16809, 16647, 48642, 16673, 16647, 24545, 18858, 16395, 16604, 16894, 17347, 29698, 16673, 17953, 40618, 40619, 34409, 16955, 20113, 32018, 16900, 16672, 16647, 36443, 18764, 16395, 17199, 16980, 16728, 16955, 16804, 16672, 20276, 17274, 16741, 31117, 16672, 16647, 34602, 18764, 16397, 16604, 16474, 27292, 16919, 16476, 16582, 16582, 34525, 17170, 16582, 16582, 17507, 22554, 20386, 16721, 17188, 17624, 16785, 22410, 16395, 16674, 16742, 23640, 41832, 22970, 16397, 17426, 16732, 19990, 16672, 16734, 16641, 18237, 18691, 18375, 16395, 16912, 19166, 17208, 18560, 20629, 16397, 17426, 16732, 20569, 16671, 20397, 34047, 16395, 16732, 17123, 19166, 16741, 16641, 25008, 16395, 17655, 16641, 17830, 16674, 16667, 16693, 16396, 21576, 18751, 16673, 32280, 16397, 19459, 19166, 16868, 16703, 24379, 16895, 16397, 16582, 16582, 30772, 16661, 16641, 18908, 31636, 16704, 30968, 16397, 16999, 18200, 17567, 16673, 17007, 16671, 16829, 16647, 16985, 16673, 16917, 17418, 16397, 16772, 20899, 24969, 16672, 17394, 18496, 16409, 22897, 48906, 16671, 16647, 25503, 56604, 16656, 17752, 16397, 16582, 16582, 24914, 34467, 16434, 19308, 16582, 16582, 21926, 49946, 16397, 16582, 16582, 18111, 16742, 16743, 16690, 16992, 22613, 16715, 16721, 24969, 16728, 18021, 17608, 16397, 16582, 24647, 16667, 16813, 27206, 17591, 17473, 17038, 16864, 18807, 16397, 16582, 16582, 16425, 33895, 27553, 17572, 20846, 16582, 16582, 18111, 16671, 17133, 16647, 17097, 17792, 16873, 16743, 16451, 17039, 16704, 16647, 39892, 16980, 16647, 20408, 16947, 16395, 16674, 16647, 22442, 17579, 18200, 17007, 16891, 16673, 16728, 16397, 16582, 16582, 16440, 17284, 16690, 16426, 43160, 17043, 16582, 16582, 58090, 16397, 62897, 44180, 17502, 16704, 37886, 16671, 16811, 17238, 17386, 16672, 16647, 44481, 16397, 17119, 16868, 17579, 17391, 16647, 39892, 16891, 16673, 17007, 16397, 17376, 45719, 25052, 16859, 20277, 16697, 21852, 17135, 35878, 49522, 16395, 16647, 39892, 22779, 17238, 19988, 16672, 17038, 25739, 16397, 16582, 16582, 42431, 16895, 16961, 16703, 16641, 17607, 19189, 16397, 22409, 16986, 16704, 18048, 16671, 16703, 17366, 16395, 16732, 16868, 17393, 17007, 16397, 16582, 16582, 32595, 16697, 16446, 54771, 16446, 16676, 16446, 55054, 16934, 19495, 16582, 16582, 49834, 17028, 16410, 16991 ]
[ 0, 16396, 16396, 16396, 16582, 38841, 16409, 16604, 16390, 38765, 39540, 22072, 16715, 29888, 25240, 17112, 16769, 35265, 16767, 17718, 16396, 16928, 16396, 30776, 17970, 26656, 16673, 17695, 22942, 16672, 16641, 19364, 19335, 16673, 17586, 18711, 16672, 25324, 16396, 18137, 16654, 17751, 17835, 64918, 16674, 51745, 16396, 17491, 17475, 41318, 25717, 16397, 16772, 21715, 20556, 16688, 23310, 16725, 16704, 16672, 17203, 21294, 16734, 16858, 17586, 22103, 28060, 16674, 16843, 16703, 33566, 16395, 16715, 20845, 16395, 16672, 18368, 19831, 16673, 20639, 16396, 46460, 33668, 19606, 18012, 16715, 18494, 16396, 16642, 22357, 29888, 19378, 16397, 16772, 31172, 24193, 63625, 24291, 16704, 17405, 16671, 25018, 16647, 41920, 16673, 16647, 61031, 22072, 16674, 16671, 20114, 16647, 18814, 16673, 16647, 17476, 17586, 22103, 16672, 26410, 17806, 17007, 16397, 16390, 16582, 26371, 16409, 16582, 16396, 16604, 16390, 25248, 16856, 18331, 16416, 16397, 18331, 63950, 20941, 16390, 16582, 16396, 21394, 18331, 16420, 18714, 31515, 16582, 16396, 24629, 16723, 19564, 18331, 16434, 16913, 16701, 16582, 16396, 16604, 16390, 41918, 18331, 16431, 16397, 18331, 23531, 16677, 16390, 16582, 16396, 40313, 18331, 17287, 22178, 23474, 16582, 23718, 16409, 22653, 26869, 16673, 56588, 39540, 24630, 17444, 16715, 16799, 18876, 32707, 17112, 16582, 16396, 16396, 16396, 16582, 16582, 16442, 16445, 16400, 16444, 16582, 16582, 38194, 16582, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16582, 16582, 38765, 39540, 22072, 16604, 16391, 20840, 16466, 16392, 16769, 16641, 18474, 39580, 16672, 16647, 41388, 17225, 17695, 22942, 16604, 16391, 16463, 16432, 22942, 16392, 23289, 16673, 22089, 16734, 16667, 21852, 16955, 17751, 16672, 16647, 18551, 16396, 20258, 16397, 28224, 16671, 17015, 16645, 21559, 22072, 16604, 16391, 22203, 35945, 16392, 16395, 16944, 18375, 16715, 16647, 27776, 17015, 23796, 20189, 16673, 16647, 40192, 16955, 28070, 16395, 16773, 35945, 51261, 16647, 17975, 16396, 28380, 19380, 17225, 20184, 16673, 16647, 16955, 17751, 17873, 17650, 16604, 16442, 16415, 18452, 16409, 16867, 18280, 16444, 16397, 18196, 22722, 16734, 16647, 41388, 24759, 21222, 16925, 17747, 41318, 19532, 25419, 16395, 16773, 35945, 25929, 16647, 20385, 16673, 21348, 17873, 16671, 16641, 17240, 27484, 17568, 16673, 22089, 28474, 16815, 16955, 17751, 19378, 16672, 25324, 16396, 18137, 16654, 17751, 17835, 64918, 16671, 26311, 16396, 16642, 22357, 19431, 16396, 39511, 19456, 41318, 16604, 16391, 16434, 18320, 18629, 16392, 16674, 16955, 17751, 16396, 33955, 17751, 52648, 16604, 16442, 16415, 18452, 16409, 38618, 16444, 16397, 16582, 16582, 20605, 16647, 17367, 17202, 16395, 17038, 19461, 16709, 16773, 35945, 16872, 22818, 32296, 16604, 16442, 16415, 18452, 16409, 16867, 16396, 18516, 17481, 16444, 16815, 17092, 22831, 20609, 16673, 65190, 16674, 18043, 16468, 16645, 16955, 17751, 17873, 53379, 16604, 16442, 16415, 18452, 16409, 16996, 17574, 17392, 16444, 16671, 18661, 24860, 19364, 28830, 16767, 17718, 16396, 16928, 16396, 30776, 17970, 16604, 16391, 16429, 36050, 16392, 26656, 16673, 17695, 22942, 16395, 17789, 25500, 16673, 41920, 16604, 16442, 16415, 18452, 16409, 16451, 17222, 16463, 16679, 16410, 16604, 16415, 18452, 16409, 16451, 17222, 17491, 17475, 16410, 16604, 16415, 18452, 16409, 16844, 16458, 16410, 16604, 16415, 18452, 16409, 53970, 18017, 16444, 16397, 19814, 16647, 17154, 23874, 16674, 19791, 17624, 17405, 16671, 21349, 16773, 35945, 18526, 16815, 18494, 16396, 16642, 22357, 25324, 16396, 18137, 16654, 17751, 17835, 64918, 16604, 16391, 16434, 21367, 16392, 17065, 16955, 28070, 16395, 17274, 17586, 16829, 16804, 17823, 16952, 16682, 16990, 17774, 16673, 65190, 16815, 20381, 16396, 16784, 17004, 61031, 16674, 17794, 18420, 16647, 18043, 16468, 16645, 61031, 17097, 62848, 17181, 38280, 32842, 16674, 17242, 16396, 30776, 16793, 36050, 44246, 16397, 27741, 19364, 17695, 22942, 28830, 16604, 16442, 16415, 18452, 16409, 16451, 17222, 16463, 16679, 16410, 16604, 16415, 18452, 16409, 16451, 17222, 17491, 17475, 16444, 33699, 16671, 16647, 23614, 18230, 40550, 27615, 16673, 16955, 17751, 38263, 21715, 16672, 16702, 18320, 18629, 16674, 16955, 17751, 16396, 33955, 17751, 52648, 16671, 64151, 17213, 53209, 16674, 16671, 17794, 18420, 16773, 35945, 16715, 16858, 17015, 16645, 41205, 34519, 16397, 16582, 16582, 39383, 16647, 28175, 18141, 16673, 16647, 16664, 16432, 22942, 19474, 16672, 30191, 16858, 16647, 18125, 17586, 28859, 16395, 16647, 20488, 26930, 16815, 17274, 24632, 19831, 27873, 19550, 16674, 19702, 26942, 24294, 17415, 16647, 16773, 35945, 16715, 17476, 18551, 16396, 20258, 16955, 28070, 16397, 17544, 20845, 16395, 16647, 61503, 31541, 16396, 16928, 16396, 19574, 16645, 61031, 17917, 21715, 16672, 25862, 16397, 18331, 16442, 16415, 18452, 16409, 16451, 17222, 16463, 16679, 16444, 16704, 34080, 21036, 17032, 17310, 26511, 21216, 16672, 28830, 16673, 16702, 21367, 17586, 19958, 16604, 16442, 16415, 18452, 16409, 16458, 18413, 22339, 16444, 16397, 17170, 16872, 16641, 28387, 19032, 16709, 16647, 35761, 16673, 16647, 18636, 16673, 61503, 31541, 46444, 16672, 16647, 21142, 16645, 16604, 16442, 16415, 18452, 16409, 16451, 17222, 16469, 16444, 16815, 16702, 18320, 18629, 17586, 16395, 16944, 16672, 17762, 16704, 24053, 16671, 16647, 24812, 18283, 16673, 17072, 16647, 23903, 16673, 16647, 21142, 16645, 16704, 28414, 16673, 41892, 53256, 16674, 50977, 38325, 18943, 16448, 16673, 16951, 24522, 16674, 18043, 16468, 17112, 16397, 16582, 16582, 28471, 28830, 16673, 16773, 35945, 37186, 16664, 16942, 16395, 25985, 17112, 16395, 28371, 17112, 16604, 16442, 16415, 18452, 16409, 16451, 17222, 16463, 16679, 16410, 16604, 16415, 18452, 16409, 16451, 17222, 17491, 17475, 16410, 16604, 16415, 18452, 16409, 16844, 16458, 16410, 16604, 16415, 18452, 16409, 53970, 18017, 16444, 16395, 16674, 44693, 43139, 16604, 16442, 16415, 18452, 16409, 17388, 16469, 16410, 16604, 16415, 18452, 16409, 16844, 16458, 16444, 16741, 18551, 16396, 20258, 16955, 28070, 16397, 16875, 16811, 18577, 16395, 16773, 35945, 16769, 16641, 17240, 16922, 41364, 19349, 16671, 22597, 17975, 16396, 28380, 19380, 17225, 22797, 16673, 17695, 22942, 17032, 31173, 16466, 17187, 19831, 16769, 23693, 30014, 16671, 28371, 17112, 16604, 16442, 16415, 18452, 16409, 16694, 20417, 16410, 16604, 16415, 18452, 16409, 17252, 39742, 21620, 16444, 16397, 16875, 16647, 18211, 16395, 16742, 25929, 16647, 19364, 17695, 22942, 28830, 16673, 16773, 35945, 16767, 16793, 36050, 26656, 16741, 20101, 16672, 17143, 21620, 16397, 18331, 16442, 16415, 18452, 16409, 16451, 17222, 16463, 16679, 16410, 16604, 16415, 18452, 16409, 16451, 17222, 17491, 17475, 16444, 16671, 29888, 25240, 17112, 16674, 25018, 16647, 26945, 41920, 16734, 16647, 31172, 24193, 63625, 18197, 16604, 16442, 16415, 18452, 16409, 30745, 24193, 16410, 16604, 16415, 18452, 16409, 16451, 17222, 16463, 16679, 16410, 16604, 16415, 18452, 16409, 16451, 17222, 16469, 16444, 16397, 17119, 19646, 16641, 20556, 16688, 23310, 16725, 16815, 26182, 17586, 16715, 18494, 16396, 16642, 22357, 29888, 25240, 16645, 19378, 16672, 16702, 21367, 16767, 19001, 20128, 16396, 17663, 16396, 38388, 17434, 16604, 16391, 16450, 16397, 16460, 16397, 16466, 16397, 16392, 39021, 16604, 16387, 16443, 25600, 16474, 16434, 16476, 16387, 16674, 51745, 16396, 17491, 17475, 52648, 16767, 16738, 44065, 16396, 64039, 18359, 16672, 16641, 19609, 18898, 16673, 54035, 18943, 16448, 16604, 16387, 16463, 16446, 16435, 16387, 16397, 17119, 20131, 17142, 20124, 18638, 22928, 16673, 29888, 16773, 35945, 16672, 17143, 21620, 16397, 18331, 16442, 16415, 18452, 16409, 32516, 17435, 16444, 16674, 16604, 16442, 16415, 18452, 16409, 16879, 16768, 55343, 16444, 16944, 16769, 18138, 16709, 19732, 27638, 18711, 16815, 16641, 31901, 43972, 18094, 34731, 16674, 16604, 16387, 22173, 16391, 16402, 16392, 16387, 18528, 25500, 16395, 22358, 16397, 16875, 17490, 19140, 16395, 20556, 16688, 23310, 16964, 16769, 16804, 18125, 16397, 16582, 16582, 16853, 25169, 21715, 16773, 35945, 18288, 21012, 25412, 17065, 16647, 16955, 17751, 17873, 17650, 16809, 30163, 16671, 16773, 35945, 16715, 16977, 16955, 28070, 16397, 16875, 18343, 16395, 16647, 39254, 23160, 17917, 16673, 16647, 29888, 16395, 16604, 16387, 16475, 16443, 19866, 16443, 28077, 16443, 57188, 16604, 16475, 16468, 16443, 20097, 16474, 16468, 16476, 16394, 16451, 16443, 20097, 16474, 16451, 16476, 16396, 16401, 16466, 16443, 20097, 16474, 16466, 16476, 16443, 28077, 16387, 16395, 16734, 16858, 18109, 16951, 24522, 16674, 20381, 16396, 16784, 24522, 17255, 17875, 16395, 17123, 26132, 17009, 24294, 17415, 16773, 35945, 16715, 17476, 17015, 17112, 16674, 16955, 28070, 16397, 16772, 18655, 19027, 18898, 16673, 25985, 17112, 16674, 17605, 16676, 16395, 16604, 16387, 16460, 16446, 16474, 16426, 16445, 16399, 16476, 16443, 57188, 16604, 16403, 16408, 16406, 16397, 16405, 16443, 16395, 16443, 24160, 16474, 20237, 16437, 16476, 16387, 16674, 16604, 16387, 16460, 16446, 16474, 16443, 19866, 16476, 16443, 57188, 16604, 16404, 16403, 16406, 16397, 16408, 16443, 16395, 16443, 24160, 16474, 20237, 16437, 16476, 16387, 16395, 22358, 16395, 16674, 16647, 21057, 16673, 23585, 16951, 24522, 16672, 17490, 23160, 22072, 18199, 37509, 17415, 16647, 16773, 35945, 16715, 17213, 25240, 17112, 18839, 21646, 16397, 19525, 18462, 17654, 16704, 17027, 16647, 23597, 27776, 21844, 16673, 29888, 16671, 26834, 55931, 33231, 16715, 16604, 16387, 16463, 16446, 16435, 16443, 16454, 18178, 23966, 16604, 16401, 16443, 16395, 16443, 24160, 16474, 23403, 16437, 16476, 16387, 16672, 16955, 17751, 16396, 33955, 28070, 52648, 18325, 16641, 19609, 18898, 16673, 16655, 16397, 16460, 16397, 16466, 16397, 18331, 17216, 63364, 16395, 17134, 16395, 16693, 16397, 16454, 16397, 16395, 25862, 16397, 18331, 16442, 16415, 18452, 16409, 49245, 17307, 16401, 16399, 16399, 16405, 16444, 16395, 16674, 17072, 16811, 16704, 32968, 16734, 16647, 35265, 29888, 16674, 55931, 16773, 35945, 16397, 16582, 16582, 17071, 18150, 16395, 16647, 27793, 16673, 29888, 16773, 35945, 33273, 16715, 16647, 17092, 17005, 16793, 36050, 16664, 16432, 22942, 33181, 16673, 20639, 16396, 46460, 33668, 19606, 18012, 16715, 18494, 16396, 16642, 22357, 29888, 25240, 16645, 19378, 16767, 17362, 16604, 16387, 16463, 16446, 16435, 16387, 16944, 16807, 16992, 23975, 16767, 54817, 18359, 16604, 16442, 16415, 18452, 16409, 26112, 31515, 16444, 19193, 16397, 24423, 33181, 16769, 16673, 52743, 17654, 16715, 19364, 17695, 22942, 28830, 16673, 16647, 23903, 20189, 16673, 16647, 21142, 16645, 16604, 16442, 16415, 18452, 16409, 16451, 17222, 16469, 16444, 16397, 24229, 16395, 16647, 17280, 16673, 29888, 16773, 35945, 17027, 19522, 16647, 32320, 16715, 19831, 16673, 18230, 36101, 16672, 16641, 22497, 22767, 16604, 16442, 16415, 18452, 16409, 23792, 16933, 35288, 16410, 16604, 16415, 18452, 16409, 16461, 16867, 16466, 16444, 16395, 16715, 20845, 16395, 16672, 16774, 31254, 16645, 16396, 38509, 52648, 16767, 54817, 18359, 16604, 16442, 16415, 18452, 16409, 49245, 17307, 16401, 16399, 16399, 16405, 16444, 16397, 16582, 16582, 16853, 31445, 16673, 16647, 19420, 16704, 25095, 16741, 21983, 16409, 17718, 16395, 16742, 17882, 16641, 21695, 35951, 16673, 16647, 19335, 16397, 16875, 32643, 16397, 18331, 16443, 16442, 19810, 16409, 34955, 16443, 16444, 16742, 17875, 16647, 18466, 16715, 16647, 29888, 16773, 35945, 16395, 24416, 16671, 17586, 16395, 16674, 17620, 17038, 25500, 16673, 41920, 16397, 17119, 31748, 16672, 32643, 16397, 18331, 16443, 16442, 19810, 16409, 16979, 28659, 16443, 16444, 16397, 16582, 16582, 21977, 17583, 16673, 16647, 26869, 16443, 16442, 19810, 16409, 16833, 17583, 16443, 16444, 16582, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16582, 16582, 53755, 24819, 16674, 20556, 16688, 23310, 16725, 16604, 16443, 16442, 19541, 19810, 16409, 16833, 17583, 16443, 16444, 16582, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16582, 16582, 16853, 16664, 16432, 22942, 24819, 16767, 16793, 36050, 26656, 16715, 16647, 21434, 23777, 16673, 16773, 35945, 16604, 16442, 16415, 18452, 16409, 18888, 16723, 16444, 16674, 18494, 16396, 16642, 22357, 16955, 17751, 19378, 19532, 25419, 16672, 16702, 21367, 16604, 16442, 16415, 18452, 16409, 31489, 16857, 16444, 16674, 16955, 17751, 16396, 33955, 17751, 52648, 16604, 16442, 16415, 18452, 16409, 16780, 16461, 16857, 16444, 16872, 16992, 16672, 17617, 16715, 18761, 16991, 17005, 16674, 17257, 16804, 17109, 16671, 16703, 23517, 17348, 16397, 44312, 16395, 16647, 19364, 17695, 22942, 19335, 16673, 16647, 29888, 16773, 35945, 19302, 21983, 24124, 16647, 20625, 34974, 16672, 16641, 24284, 20134, 16673, 55931, 16674, 25985, 16645, 16773, 35945, 16672, 25862, 16397, 18331, 16442, 16415, 18452, 16409, 16451, 17222, 16463, 16679, 16444, 16395, 17187, 16858, 16647, 20184, 16843, 16703, 17494, 16397, 17376, 16672, 16604, 16442, 16415, 18452, 16409, 16451, 17222, 16463, 16679, 16410, 16604, 16415, 18452, 16409, 16451, 17222, 17491, 17475, 16444, 16742, 17231, 16647, 46051, 16642, 24291, 16741, 20101, 16672, 16604, 16442, 16415, 18452, 16409, 16460, 17182, 16642, 16410, 16604, 16415, 18452, 16409, 16451, 17222, 16469, 16444, 16671, 19682, 16858, 16793, 36050, 33166, 16397, 20195, 16395, 16742, 23443, 16647, 22383, 16671, 18655, 28830, 16673, 55931, 16674, 25985, 16645, 16773, 35945, 16674, 17620, 16914, 24585, 16715, 17038, 20100, 16673, 16647, 25201, 17510, 25594, 19310, 16647, 16773, 35945, 16673, 16647, 29888, 25240, 16645, 16397, 16582, 16582, 17894, 19739, 16671, 35128, 16955, 28070, 16395, 16672, 18343, 16664, 16942, 16395, 17586, 16734, 21766, 29888, 25240, 17112, 16769, 17827, 38709, 16674, 17827, 24860, 16397, 20361, 40246, 16704, 16647, 19744, 16673, 16998, 26182, 17624, 16815, 16702 ]
[ 0, 38194, 16604, 16474, 16386, 16466, 16399, 16399, 16399, 16404, 16476, 16582, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16582, 16582, 19315, 19006, 38267, 18616, 16794, 41156, 25792, 16398, 29217, 35609, 16715, 25695, 18712, 16672, 16647, 17510, 16673, 42560, 16395, 16944, 16704, 18964, 16715, 22652, 31395, 22072, 16397, 20361, 16673, 16647, 31395, 18712, 16704, 32936, 21047, 16672, 31807, 17840, 49648, 62727, 16809, 49106, 50485, 16397, 16875, 18150, 16671, 18712, 19378, 16395, 62727, 17156, 16667, 17889, 18814, 16672, 16977, 31395, 22072, 17274, 16741, 37140, 22363, 45349, 16395, 20381, 16396, 49802, 16795, 21859, 16395, 47950, 16936, 36481, 17789, 60069, 16674, 44960, 59241, 53369, 18698, 16395, 33319, 16673, 16733, 17484, 16674, 52224, 16395, 18155, 18554, 17650, 16395, 16674, 18251, 43191, 16472, 16604, 16442, 16415, 54690, 16400, 16444, 16397, 39098, 20369, 20332, 16721, 62727, 17027, 35269, 22551, 61754, 19029, 16734, 34951, 16674, 16662, 17836, 16395, 18211, 16647, 23659, 16671, 26227, 23969, 16674, 16398, 16658, 17131, 54098, 19527, 16604, 16442, 16415, 54690, 16401, 16444, 16395, 16604, 16442, 16415, 54690, 16402, 16444, 16397, 18916, 27364, 32714, 21268, 16945, 17560, 45583, 16785, 52980, 49106, 50485, 16672, 18244, 20062, 19619, 16395, 16647, 46386, 20728, 45349, 31133, 21083, 17889, 16672, 20557, 16667, 21963, 19419, 16673, 18712, 16604, 16391, 16452, 16397, 16454, 16397, 16395, 46257, 16877, 23653, 16392, 16604, 16442, 16415, 54690, 16400, 16444, 16397, 26879, 17213, 18712, 21268, 27287, 18443, 16671, 44772, 46386, 17917, 16604, 16391, 16456, 16397, 16452, 16397, 16395, 46386, 36002, 16392, 16395, 19006, 19487, 16961, 17849, 16785, 18222, 40905, 16671, 18155, 18554, 22089, 16604, 16391, 55214, 38981, 16674, 43459, 16392, 16397, 16875, 17551, 16395, 16728, 16704, 17204, 16396, 45613, 16721, 46386, 17917, 16672, 17476, 32113, 16704, 21777, 44772, 16672, 22652, 19428, 27821, 17274, 16741, 37067, 29492, 17789, 34147, 16398, 24337, 24725, 16395, 36632, 27821, 16395, 53744, 16915, 37882, 48320, 22193, 16604, 16391, 16424, 16398, 16433, 16392, 16445, 16400, 16445, 16674, 20053, 16741, 17204, 16741, 17259, 46934, 27821, 16945, 35815, 16443, 16390, 16466, 20062, 16674, 45198, 16443, 16390, 16466, 20062, 16604, 16442, 16415, 54690, 16403, 16444, 16395, 16604, 16442, 16415, 54690, 16404, 16444, 16395, 16604, 16442, 16415, 54690, 16405, 16444, 16395, 16604, 16442, 16415, 54690, 16406, 16444, 16395, 16604, 16442, 16415, 54690, 16407, 16444, 16395, 16604, 16442, 16415, 54690, 16408, 16444, 16395, 16604, 16442, 16415, 54690, 16400, 16399, 16444, 16395, 16604, 16442, 16415, 54690, 16400, 16400, 16444, 16395, 16604, 16442, 16415, 54690, 16400, 16401, 16444, 16395, 20290, 17605, 35280, 22556, 16673, 17492, 20062, 16769, 17476, 16397, 16582, 16582, 16423, 16934, 17957, 46386, 51935, 16769, 21852, 16672, 17490, 43941, 37140, 28037, 20062, 16604, 16391, 16416, 21219, 16419, 16392, 16604, 16442, 16415, 54690, 16403, 16444, 16395, 16604, 16442, 16415, 54690, 16404, 16444, 16395, 16604, 16442, 16415, 54690, 16405, 16444, 16395, 17975, 60935, 16675, 37140, 28037, 20062, 16604, 16391, 19753, 21219, 16419, 16392, 16604, 16442, 16415, 54690, 16406, 16444, 16395, 16604, 16442, 16415, 54690, 16407, 16444, 16395, 16604, 16442, 16415, 54690, 16408, 16444, 16674, 29243, 28037, 22193, 16397, 17376, 16641, 17539, 16395, 16728, 16704, 29692, 42472, 16671, 29729, 27364, 42560, 19415, 16674, 19800, 20728, 38003, 16604, 16391, 35431, 16396, 17537, 28139, 16674, 35643, 16396, 17537, 28139, 18669, 16649, 20650, 16392, 16672, 16647, 28037, 17131, 17213, 19527, 16397, 26488, 18268, 46386, 36002, 16734, 19800, 49106, 20962, 17027, 19205, 20107, 16659, 16647, 40873, 34784, 16671, 26230, 47778, 38981, 16674, 16398, 16658, 43459, 16673, 40873, 34784, 16395, 16944, 18715, 17474, 16671, 29304, 16673, 22786, 28037, 46351, 16898, 16604, 16391, 16456, 16397, 16452, 16397, 16395, 16908, 16825, 44353, 19487, 16392, 16674, 33976, 16673, 47829, 17160, 26709, 19487, 17065, 16647, 28037, 16734, 32718, 19415, 16673, 58095, 33167, 16604, 16391, 19424, 19877, 16643, 21470, 24957, 16392, 16674, 16764, 16396, 42436, 55157, 16398, 23978, 16847, 17462, 16604, 16442, 16415, 54690, 16400, 16402, 16444, 16395, 16604, 16442, 16415, 54690, 16400, 16403, 16444, 16395, 16604, 16442, 16415, 54690, 16400, 16404, 16444, 16397, 40303, 16395, 58095, 30925, 16758, 19487, 16843, 16703, 33331, 16674, 31276, 17065, 16887, 17663, 16949, 16689, 55943, 16396, 19064, 19487, 16395, 25695, 16764, 16396, 16453, 16949, 16689, 19828, 55157, 17274, 16741, 41261, 19134, 21348, 16396, 23839, 16674, 23735, 17901, 26552, 19134, 21348, 16395, 19868, 16671, 58095, 54722, 16398, 58437, 27991, 20650, 16674, 20053, 16397, 18708, 51819, 19122, 16843, 16703, 21852, 16672, 17490, 57236, 16419, 16604, 16442, 16415, 54690, 16400, 16402, 16444, 16395, 16604, 16442, 16415, 54690, 16400, 16403, 16444, 16395, 16604, 16442, 16415, 54690, 16400, 16404, 16444, 16674, 31348, 21219, 16419, 16604, 16442, 16415, 54690, 16400, 16405, 16444, 16395, 16604, 16442, 16415, 54690, 16400, 16406, 16444, 16397, 16875, 18150, 16395, 29243, 16785, 17242, 16396, 16717, 20364, 23659, 16671, 19001, 40873, 16701, 43542, 28937, 16395, 17789, 48317, 16396, 18406, 22163, 16395, 17274, 16741, 43935, 22390, 16754, 17175, 16604, 16391, 18987, 18987, 16392, 16604, 16442, 16415, 54690, 16400, 16407, 16444, 16395, 16604, 16442, 16415, 54690, 16400, 16408, 16444, 16395, 16604, 16442, 16415, 54690, 16401, 16399, 16444, 16395, 16641, 18166, 39580, 16673, 16700, 18161, 16652, 16723, 16445, 25175, 16445, 16395, 16667, 20381, 16396, 19081, 16851, 20053, 22688, 36360, 18289, 52727, 16604, 16442, 16415, 54690, 16401, 16400, 16444, 16395, 16667, 20381, 16396, 18413, 30841, 23753, 20632, 17316, 16699, 17063, 16823, 16856, 16604, 16391, 39088, 16435, 16392, 16604, 16442, 16415, 54690, 16401, 16401, 16444, 16674, 55846, 17575, 16604, 16442, 16415, 54690, 16401, 16402, 16444, 16395, 16843, 19225, 46386, 36002, 16395, 30880, 16671, 28037, 22193, 16734, 16785, 17714, 20728, 38003, 16395, 23451, 16709, 16647, 19096, 35426, 22688, 16395, 16741, 37079, 28112, 16604, 16442, 16415, 54690, 16401, 16403, 16444, 16395, 16604, 16442, 16415, 54690, 16401, 16404, 16444, 16395, 16604, 16442, 16415, 54690, 16401, 16405, 16444, 16397, 18708, 40873, 16701, 43542, 23969, 16674, 54098, 19527, 16769, 18365, 16671, 57554, 16647, 19415, 16673, 44465, 27312, 16674, 36867, 20969, 16604, 16391, 16433, 19445, 16398, 16433, 22333, 16392, 16674, 27617, 28389, 16699, 17225, 20962, 17181, 16647, 42492, 16673, 16647, 46386, 25324, 20734, 22835, 16604, 16391, 19093, 16418, 16392, 16674, 36942, 16398, 53726, 16673, 62295, 29049, 31081, 16954, 16395, 19332, 16928, 50746, 16739, 16403, 16404, 16399, 16704, 23616, 56075, 17789, 42680, 16396, 25812, 41824, 16739, 16403, 16404, 16399, 16396, 16401, 16420, 16400, 16604, 16391, 16418, 41724, 16401, 16420, 16400, 16392, 16674, 64958, 16403, 16416, 16395, 18509, 25463, 16856, 31081, 16954, 16395, 16674, 24722, 41824, 27617, 17404, 36007, 47729, 16954, 16604, 16391, 16456, 16429, 19445, 16392, 16397, 21604, 19800, 27617, 28389, 16699, 17225, 20962, 16843, 31081, 24759, 20474, 46386, 23642, 16674, 29981, 18145, 16395, 16647, 20987, 16673, 54563, 16843, 17027, 17391, 17617, 16767, 16647, 22036, 19415, 17181, 17476, 21497, 16673, 17498, 16396, 21527, 16459, 17194, 34795, 16604, 16391, 27213, 16428, 16392, 16604, 16442, 16415, 54690, 16401, 16405, 16444, 16395, 16604, 16442, 16415, 54690, 16401, 16406, 16444, 16397, 20919, 16673, 16647, 25169, 16396, 38211, 18841, 17624, 16709, 18901, 18289, 16396, 21670, 22036, 36101, 16395, 16742, 30785, 23467, 18514, 18166, 21497, 16673, 32788, 16428, 16674, 25201, 24585, 16673, 16991, 26252, 46386, 26513, 16672, 16647, 26182, 20609, 16673, 16647, 57236, 16419, 16395, 31348, 21219, 16419, 16674, 29243, 28037, 22193, 16604, 16391, 16442, 24001, 16397, 18331, 16400, 16444, 16391, 16386, 16453, 16399, 16399, 16399, 16404, 16392, 16474, 18452, 16396, 18926, 16412, 16385, 19327, 16385, 16476, 16392, 16397, 16875, 18150, 16395, 16742, 23443, 19056, 24128, 16673, 64958, 16401, 16420, 16400, 16672, 27497, 19001, 32788, 24683, 16397, 16582, 16582, 19569, 16396, 21527, 16459, 17194, 36101, 16673, 46386, 26513, 16604, 16474, 16386, 16466, 16399, 16399, 16400, 16399, 16476, 16582, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16582, 16582, 44627, 16699, 16725, 16673, 46386, 26513, 16604, 16474, 16386, 16466, 16399, 16399, 16400, 16404, 16476, 16582, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16582, 16582, 25756, 19732, 19527, 16395, 44504, 16697, 32718, 52656, 16704, 18365, 16671, 16703, 19423, 16672, 31395, 32995, 33582, 16604, 16442, 16415, 54690, 16401, 16407, 16444, 16395, 16604, 16442, 16415, 54690, 16401, 16408, 16444, 16674, 46386, 22072, 16769, 26557, 26447, 17181, 18027, 18901, 18289, 21775, 16397, 18523, 16395, 25917, 16674, 16398, 16658, 51828, 22712, 16395, 17362, 20728, 44129, 16395, 32381, 27169, 16395, 16785, 18244, 40873, 16701, 43542, 22163, 16843, 20206, 20474, 16647, 46386, 16799, 21512, 16395, 25695, 20580, 24801, 16673, 52656, 41254, 16815, 16647, 16799, 21653, 16604, 16442, 16415, 54690, 16401, 16403, 16444, 16395, 16604, 16442, 16415, 54690, 16401, 16404, 16444, 16395, 16604, 16442, 16415, 54690, 16401, 16405, 16444, 16395, 16604, 16442, 16415, 54690, 16401, 16406, 16444, 16397, 26879, 18027, 21263, 16396, 36412, 16809, 19001, 31395, 20381, 16396, 49802, 17575, 16395, 16647, 35534, 51660, 16672, 31395, 18901, 18289, 19619, 17539, 16672, 27364, 19415, 16673, 46386, 65420, 17789, 46386, 44960, 17050, 22026, 16604, 16391, 23974, 16422, 25688, 16392, 16395, 16944, 24473, 16741, 16641, 20927, 37145, 16795, 17415, 26227, 20474, 16674, 31395, 21747, 16604, 16442, 16415, 54690, 16402, 16399, 16444, 16397, 18196, 16647, 31395, 21859, 17434, 16704, 37373, 16395, 20580, 24801, 16673, 52656, 16674, 16778, 22333, 20397, 32718, 16395, 24037, 19868, 16671, 19800, 27617, 28389, 16699, 17225, 20962, 16397, 16582, 16582, 17409, 16704, 17204, 16396, 45613, 16721, 17259, 34226, 32245, 17274, 16741, 40961, 16452, 16856, 16604, 16391, 16418, 17129, 16392, 16395, 29754, 16679, 16856, 16604, 16391, 25449, 16392, 16395, 17884, 41768, 16604, 16391, 23873, 16392, 16395, 16764, 17583, 16604, 16391, 18023, 16392, 16395, 46803, 16856, 16604, 16391, 16427, 17129, 16392, 16395, 29652, 65273, 16604, 16391, 16435, 20593, 16392, 16395, 22833, 18161, 34233, 16856, 16604, 16391, 16431, 16643, 16392, 16395, 16681, 57477, 16856, 16604, 16391, 17278, 16465, 16392, 16674, 17590, 16849, 18737, 16657, 16604, 16391, 18944, 16463, 16392, 16672, 17154, 26513, 16843, 17027, 16703, 18901, 18289, 33910, 16397, 17376, 19193, 28112, 16604, 16442, 16415, 54690, 16401, 16405, 16444, 16395, 16604, 16442, 16415, 54690, 16401, 16406, 16444, 16395, 16719, 17129, 45865, 16391, 16466, 16392, 16843, 16703, 31081, 24759, 26252, 16672, 17259, 21497, 16604, 16443, 16442, 63893, 49556, 22363, 16395, 16952, 20719, 16870, 16395, 34730, 49542, 16398, 63893, 23796, 32245, 16395, 25922, 16396, 16785, 16972, 18289, 17574, 16654, 21097, 16396, 32435, 16604, 16393, 16434, 16393, 16396, 41592, 19846, 61227, 16395, 25922, 16396, 46443, 22992, 16431, 16396, 17273, 16786, 61227, 16395, 23590, 16952, 20719, 16870, 24261, 17415, 16719, 17129, 44914, 16674, 44960, 17050, 22026, 16604, 16391, 21023, 16698, 17050, 16679, 61227, 16392, 16395, 40961, 16452, 16856, 16604, 16391, 16450, 17165, 17050, 16679, 61227, 16392, 16395, 33302, 49542, 22363, 16395, 16887, 17697, 16675, 22363, 16604, 16442, 16415, 54690, 16402, 16400, 16444, 16785, 21541, 18889, 16675, 22363, 16604, 16391, 16418, 17129, 16396, 21730, 18889, 17456, 20118, 16392, 16604, 16442, 16415, 54690, 16402, 16401, 16444, 19421, 16671, 29993, 35630, 16785, 31395, 36494, 16443, 16444, 16397, 16582, 16582, 23097, 16647, 25628, 20625, 16671, 20897, 18901, 18289, 16396, 38011, 16719, 17129, 44914, 16672, 31395, 26513, 16958, 37079, 20101, 16672, 17038, 18722, 23446, 16604, 16442, 16415, 54690, 16401, 16405, 16444, 16395, 16604, 16442, 16415, 54690, 16402, 16402, 16444, 16395, 16742, 16868, 17097, 23443, 16647, 25201, 24585, 16673, 49106, 34795, 16673, 16719, 17129, 44914, 16672, 16991, 26513, 16397, 17426, 16917, 16673, 17213, 34226, 32245, 24473, 16741, 16647, 20432, 18758, 16785, 16704, 20186, 18046, 16647, 20432, 18758, 16673, 18244, 40665, 16395, 16728, 16704, 20349, 18715, 16721, 49106, 36101, 16673, 17213, 34226, 32245, 16843, 17539, 16672, 16914, 16672, 53726, 16395, 16741, 19628, 16809, 16647, 45349, 16674, 16398, 16658, 16604, 16393, 16434, 16393, 16396, 41592, 19846, 61227, 16673, 16719, 17129, 44914, 17789, 16647, 20432, 18758, 16719, 17129, 16672, 16647, 46386, 44691, 16452, 50183, 16774, 61194, 16954, 16604, 16391, 18189, 43611, 16401, 16392, 16604, 16442, 16415, 54690, 16402, 16403, 16444, 16674, 16604, 16402, 16396, 22640, 16462, 16396, 16861, 18161, 18035, 16416, 16396, 16757, 36022, 16954, 16604, 16391, 16757, 36022, 16954, 16392, 16604, 16442, 16415, 54690, 16402, 16403, 16444, 16672, 51828, 22712, 16396, 23634, 17737, 31104, 16988, 16397, 16875, 17551, 16395, 19027, 16396, 46220, 17725, 19335, 22130, 16721, 16922, 17032, 16604, 16407, 16406, 46386, 16674, 16604, 16405, 16399, 40479, 16786, 20673, 26513, 16958, 31081, 24759, 16396, 51262, 16672, 22712, 16396, 23634, 17737, 31104, 16988, 16604, 16442, 16415, 54690, 16402, 16403, 16444, 16395, 16604, 16442, 16415, 54690, 16402, 16404, 16444, 16397, 16772, 20627, 16673, 22036, 45349, 16672, 64958, 16401, 16420, 16400, 16396, 44829, 16799, 16403, 16406, 16396, 16423, 16934, 16422, 16401, 40873, 20740, 19487, 16604, 16442, 16415, 54690, 16402, 16405, 16444, 35885, 16641, 26043, 16396, 16674, 17005, 16396, 27158 ]
[ 0, 38194, 16604, 16474, 16386, 37256, 16400, 16476, 16582, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16582, 16582, 36780, 16723, 16704, 16641, 16670, 18240, 20194, 17819, 19588, 17918, 16395, 16955, 16992, 23644, 27894, 16674, 20561, 17587, 21766, 16815, 16647, 38254, 16673, 24543, 16712, 16789, 16604, 16393, 36780, 16730, 17898, 16469, 16736, 36298, 16393, 16445, 16442, 16415, 23965, 16400, 16444, 16445, 16397, 16999, 16872, 16992, 22782, 16809, 32022, 16672, 16604, 16400, 16408, 16408, 16401, 16741, 16641, 20240, 16396, 46220, 21645, 20632, 16715, 19165, 16673, 17627, 17297, 17029, 47991, 16395, 23665, 16395, 58117, 16395, 52078, 16674, 28568, 38030, 16397, 16772, 18241, 23798, 17987, 19962, 16673, 24767, 16723, 30718, 16895, 16815, 17073, 19857, 43340, 16671, 30434, 16734, 27300, 28785, 16673, 27242, 19487, 16395, 29991, 19310, 20338, 50063, 18699, 16815, 17517, 19465, 17043, 17873, 16395, 65485, 16647, 31395, 24130, 16767, 16796, 16401, 16396, 16428, 21876, 16395, 24500, 18155, 43459, 16445, 16442, 16415, 23965, 16401, 16444, 16445, 16397, 18419, 16647, 23587, 31624, 21003, 16673, 24767, 16723, 39197, 16395, 16914, 19364, 20093, 21450, 16671, 19031, 16809, 16931, 16604, 16405, 16396, 16396, 16400, 16399, 16388, 30362, 16395, 20781, 16395, 16647, 24767, 16723, 21331, 16769, 16647, 24036, 20929, 16715, 55156, 17073, 61033, 16741, 20936, 22163, 16445, 16442, 16415, 23965, 16402, 16444, 16445, 16397, 26272, 19365, 16647, 17291, 55237, 19828, 54473, 16815, 24767, 16723, 25695, 16674, 17975, 16396, 56090, 22372, 16395, 16734, 16914, 19535, 19134, 16395, 17985, 29151, 16674, 19629, 16671, 21182, 24767, 16723, 21191, 16709, 20282, 19419, 16395, 16672, 18150, 16671, 16647, 46963, 16673, 40564, 16674, 27732, 37859, 16395, 21056, 16647, 18453, 16715, 17655, 54473, 16715, 24767, 16723, 23295, 19378, 16445, 16442, 16415, 23965, 16402, 16444, 16445, 16397, 19253, 17032, 16604, 16401, 16399, 16399, 57286, 17291, 55237, 20324, 16958, 21766, 16815, 16604, 16393, 16435, 16393, 16397, 16604, 16393, 16449, 25188, 17180, 16393, 16674, 16931, 16604, 16400, 16399, 16388, 16673, 16811, 19971, 16872, 16647, 19056, 16798, 16671, 21182, 24767, 16723, 16445, 16442, 16415, 23965, 16403, 16444, 16395, 16442, 16415, 23965, 16404, 16444, 16445, 16397, 16772, 47372, 16673, 17291, 55237, 19828, 54473, 16674, 16914, 24767, 16723, 24998, 16807, 16992, 37079, 28112, 16445, 16442, 16415, 23965, 16405, 16444, 16395, 16442, 16415, 23965, 16406, 16444, 16445, 16397, 16772, 62944, 24767, 16723, 40254, 17574, 48362, 31133, 16672, 54473, 21384, 16931, 16604, 16400, 16408, 37097, 17957, 21399, 20089, 16815, 16647, 48747, 32912, 57511, 17450, 57511, 23217, 16455, 24594, 16758, 16604, 16391, 33060, 26234, 16392, 16721, 28519, 17521, 17065, 18439, 16448, 16396, 16403, 16391, 16404, 16392, 16395, 16400, 16400, 16391, 16400, 16401, 16392, 16396, 24337, 17416, 16809, 18439, 26361, 17416, 47729, 16954, 20440, 16809, 52933, 61227, 16673, 18439, 26361, 17416, 44714, 16809, 19332, 16928, 50746, 16739, 16403, 16404, 16399, 16396, 19345, 16462, 32917, 18511, 17779, 16604, 16391, 26808, 26361, 17416, 16604, 16404, 19766, 16396, 35521, 16471, 18161, 16954, 16674, 18439, 17716, 16604, 16400, 16399, 28580, 16396, 35521, 16471, 18161, 16954, 16392, 16445, 16442, 16415, 23965, 16402, 16444, 16395, 16442, 16415, 23965, 16407, 16444, 16395, 16442, 16415, 23965, 16408, 16444, 16445, 16397, 16772, 37067, 33582, 16715, 33319, 16673, 24767, 16723, 16674, 44352, 16642, 16815, 17263, 51542, 16396, 22520, 16416, 48747, 16872, 16992, 46818, 16604, 16391, 24001, 16397, 18331, 16442, 16434, 16400, 16444, 16391, 16386, 24197, 18311, 16428, 16400, 16392, 16474, 18452, 16396, 18926, 16412, 16385, 29743, 16385, 16476, 16392, 16397, 16582, 16582, 32523, 19831, 23574, 16647, 20839, 49265, 22372, 16673, 50959, 18737, 55621, 18918, 37024, 17120, 16703, 16641, 52105, 19419, 16715, 19001, 31624, 28937, 16445, 16442, 16415, 23965, 16400, 16399, 16444, 16445, 16397, 27385, 17213, 22372, 16395, 20969, 16673, 30427, 17139, 22374, 45348, 16958, 32888, 16715, 16914, 24246, 31848, 16395, 18241, 16736, 50924, 16674, 18241, 23798, 17987, 19811, 16445, 16442, 16415, 23965, 16406, 16444, 16395, 16442, 16415, 23965, 16400, 16400, 16444, 16395, 16442, 16415, 23965, 16400, 16401, 16444, 16445, 16397, 19912, 17038, 18722, 18077, 16395, 23993, 16396, 31659, 17291, 55237, 19828, 57286, 49040, 16958, 30345, 16815, 16604, 16393, 37746, 17139, 22374, 16730, 18904, 18990, 17865, 16393, 16674, 45203, 16715, 24767, 16723, 40254, 17574, 48362, 18174, 17816, 16395, 18493, 17007, 16395, 16604, 16393, 17894, 16874, 16454, 52215, 19435, 16644, 16730, 16393, 16799, 27356, 16400, 16399, 16407, 16763, 19074, 16741, 16641, 38258, 24767, 16723, 26287, 16445, 16442, 16415, 23965, 16406, 16444, 16445, 16397, 18523, 16395, 16647, 46471, 18450, 16673, 24767, 16723, 40254, 17574, 48362, 37302, 16673, 16604, 16393, 16416, 16393, 16397, 16604, 16393, 16737, 16644, 16730, 16393, 16734, 17242, 52232, 17264, 16674, 32137, 16763, 16647, 21975, 20929, 16721, 24727, 16647, 24036, 19617, 16673, 16811, 57286, 46585, 16741, 23295, 20208, 16715, 24767, 16723, 19378, 16397, 28224, 18466, 16958, 19074, 16647, 19670, 23062, 16673, 20825, 16673, 24767, 16723, 36143, 24507, 16734, 19705, 17242, 52232, 17264, 16673, 16647, 17291, 55237, 19828, 54473, 16445, 16442, 16415, 23965, 16400, 16402, 16444, 16396, 16396, 16442, 16415, 23965, 16400, 16404, 16444, 16445, 16395, 16715, 22879, 16395, 16604, 16393, 36780, 22091, 17089, 16674, 16644, 18599, 16452, 16393, 16445, 16442, 16415, 23965, 16400, 16402, 16444, 16445, 16395, 16604, 16393, 16435, 38078, 38982, 16915, 16393, 17020, 16445, 16442, 16415, 23965, 16400, 16405, 16444, 16445, 16674, 16604, 16393, 22194, 20595, 16915, 16393, 17020, 16445, 16442, 16415, 23965, 16400, 16406, 16444, 16445, 16397, 42566, 16395, 16734, 18150, 16673, 20293, 53791, 17521, 22485, 16673, 16604, 16393, 16431, 16393, 16397, 16604, 16393, 30354, 18990, 17865, 16393, 16395, 16647, 40254, 17574, 48362, 18174, 17816, 16673, 24767, 16723, 16809, 16604, 16393, 16416, 16393, 16397, 16604, 16393, 16737, 16644, 16730, 16393, 16955, 16992, 32600, 19765, 30163, 16671, 16647, 19170, 46585, 16445, 16442, 16415, 23965, 16406, 16444, 16445, 16397, 17465, 16395, 16691, 16396, 40398, 16661, 16673, 16647, 40254, 17574, 48362, 23273, 28518, 16673, 24767, 16723, 16809, 16604, 16393, 16416, 16393, 16397, 16604, 16393, 16737, 16644, 16730, 16393, 17120, 16703, 18443, 16671, 16647, 32786, 19902, 24375, 16734, 16647, 58029, 44092, 16838, 16673, 16604, 16393, 16431, 16393, 16397, 16604, 16393, 30354, 18990, 17865, 16393, 16397, 23121, 16395, 16647, 24431, 16673, 16811, 16985, 16763, 16671, 26828, 16647, 24767, 16723, 24998, 16673, 16604, 16393, 16416, 16393, 16397, 16604, 16393, 16737, 16644, 16730, 16393, 16604, 16385, 16806, 55237, 16820, 16673, 16604, 16393, 37746, 17139, 22374, 16730, 18904, 18990, 17865, 16393, 16385, 16672, 19208, 16671, 22049, 16395, 19705, 17242, 52232, 17264, 16674, 18174, 17816, 16671, 30092, 16914, 24767, 16723, 40254, 17574, 48362, 37302, 19028, 18150, 16673, 16604, 16393, 16431, 16393, 16397, 16604, 16393, 30354, 18990, 17865, 16393, 22485, 16397, 17294, 16671, 52442, 16647, 27732, 16674, 37067, 22644, 16673, 24767, 16723, 40254, 17574, 48362, 19821, 21722, 16817, 16673, 16604, 16393, 16416, 16393, 16397, 16604, 16393, 16737, 16644, 16730, 16393, 19970, 16734, 16647, 46471, 18450, 16674, 33443, 16673, 24767, 16723, 40254, 48544, 19028, 18150, 16673, 16604, 16393, 16431, 16393, 16397, 16604, 16393, 30354, 18990, 17865, 16393, 22485, 16397, 16582, 16582, 65433, 16674, 33486, 16604, 16474, 16386, 37256, 16401, 16476, 16582, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16582, 16582, 17894, 16874, 16454, 52215, 19435, 16644, 16730, 19134, 19527, 16395, 24767, 16723, 35761, 16674, 22635, 27353, 16604, 16474, 16386, 37256, 16402, 16476, 16582, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16582, 16582, 16393, 17894, 16874, 16454, 52215, 19435, 16644, 16730, 16393, 16799, 27356, 16400, 16399, 16407, 16604, 16391, 56687, 16402, 16406, 16406, 16404, 16404, 16401, 16392, 16395, 16667, 17291, 55237, 16820, 16673, 16604, 16393, 37746, 17139, 22374, 16730, 18904, 18990, 17865, 16393, 16395, 16955, 16647, 21165, 24767, 16723, 25695, 18174, 17816, 18745, 16671, 17038, 18722, 18077, 16445, 16442, 16415, 23965, 16406, 16444, 16445, 16397, 16772, 57286, 46585, 16763, 23475, 16709, 56656, 18691, 16445, 16442, 16415, 23965, 16400, 16407, 16444, 16445, 16734, 20887, 36101, 16397, 36797, 16697, 16395, 16647, 22767, 21998, 16604, 16391, 16454, 16398, 16459, 16392, 16409, 18509, 16472, 18100, 16604, 16401, 16406, 20464, 16454, 16395, 16741, 17603, 28002, 16604, 16405, 20464, 16454, 16395, 40971, 24303, 16604, 16399, 16397, 16404, 20464, 16454, 16395, 16859, 30087, 16877, 16604, 16400, 16397, 16399, 20464, 16454, 16395, 23050, 16391, 27528, 16477, 16402, 16477, 16392, 16477, 16401, 16477, 16604, 16399, 16397, 16401, 20464, 16454, 16395, 16908, 27528, 16477, 16402, 16477, 16604, 16399, 16397, 16399, 16407, 20464, 16454, 16395, 16908, 18747, 16604, 16399, 16397, 16399, 16405, 20464, 16454, 16395, 48869, 29821, 16477, 16403, 16477, 16604, 16399, 16397, 16402, 16405, 20464, 16454, 16395, 24876, 16423, 16477, 16401, 16477, 24000, 16477, 16403, 16397, 16477, 16751, 16477, 16401, 16477, 16430, 16604, 16399, 16397, 16399, 16401, 20464, 16454, 16395, 20736, 18747, 16477, 16402, 16477, 16604, 16399, 16397, 16399, 16399, 16401, 20464, 16454, 16395, 45806, 29821, 16477, 16403, 16477, 16604, 16399, 16397, 16399, 16399, 16404, 16395, 51815, 29821, 16477, 16403, 16477, 16397, 16604, 16406, 16423, 16477, 16401, 16477, 16430, 16604, 16399, 16397, 16399, 16399, 16402, 20464, 16454, 16395, 16751, 16477, 16402, 16477, 24920, 16477, 16402, 16477, 16604, 16399, 16397, 16399, 16400, 16403, 20464, 16454, 16674, 16908, 16424, 16604, 16399, 16397, 16399, 16399, 16399, 16400, 20464, 16454, 16395, 42315, 16672, 62958, 17969, 16673, 20808, 33208, 16604, 16407, 16397, 16399, 16397, 21821, 59684, 16673, 16604, 16405, 16396, 17093, 16396, 17082, 16604, 16393, 16416, 16393, 16397, 16604, 16393, 16737, 16644, 16730, 16393, 16958, 53362, 21111, 16671, 16604, 16404, 16399, 20464, 38632, 22767, 16398, 16401, 16404, 16399, 20464, 38632, 20024, 21835, 17484, 21673, 17314, 18310, 16395, 44741, 16715, 16604, 16401, 16399, 17897, 16767, 16604, 16402, 16399, 20464, 21896, 16418, 16397, 16772, 28031, 16958, 42873, 16734, 53674, 27731, 16933, 17201, 16395, 16647, 17566, 18178, 17099, 16958, 33891, 16734, 16604, 16399, 16397, 16399, 16402, 16388, 35981, 16660, 51328, 20395, 16758, 16671, 34936, 28985, 37140, 32245, 16395, 16674, 24767, 16723, 16763, 35265, 16734, 20639, 21765, 16673, 42530, 20602, 16680, 17078, 17716, 16604, 16391, 27197, 16428, 16392, 16397, 16772, 25190, 21876, 16763, 23980, 16395, 48202, 16895, 16671, 22269, 17552, 16395, 16674, 16647, 44914, 16958, 16691, 16396, 16451, 17110, 22511, 16672, 16604, 16401, 20464, 38632, 63718, 16397, 16582, 16582, 36780, 16723, 16763, 21766, 16809, 24737, 22450, 58270, 16604, 16391, 16435, 21078, 16392, 17655, 16604, 16400, 20464, 19932, 16604, 16391, 16401, 16399, 20464, 30070, 20464, 16401, 16399, 20464, 22220, 16392, 17036, 16396, 61750, 58365, 28170, 30904, 16604, 16405, 16399, 16773, 16477, 16401, 16404, 16403, 16477, 16604, 16391, 31025, 16760, 16908, 40107, 16416, 16395, 16759, 17555, 37357, 16395, 21637, 16392, 16395, 16734, 16647, 43354, 17434, 37183, 17416, 49960, 16398, 44400, 32305, 16398, 24430, 24648, 17510, 41968, 16604, 16391, 16408, 16399, 16409, 16408, 16409, 16400, 16395, 16776, 16398, 16469, 16398, 16469, 16392, 16445, 16442, 16415, 23965, 16400, 16408, 16444, 16445, 16397, 24767, 16723, 16763, 27024, 16809, 36499, 51680, 16767, 16604, 16401, 16404, 16403, 20464, 37708, 16395, 17177, 16647, 30904, 16958, 63510, 16734, 16604, 16400, 16388, 56860, 20484, 47482, 16395, 26612, 30259, 16395, 16641, 19851, 30879, 20363, 16763, 20140, 17135, 16604, 16401, 16403, 20464, 46005, 16395, 27622, 17160, 16647, 24767, 16723, 27373, 16445, 16442, 16415, 23965, 16401, 16399, 16444, 16445, 30163, 16671, 27723, 24767, 16723, 16604, 16391, 32572, 16397, 16604, 16443, 16386, 16700, 16406, 16403, 16399, 16401, 16392, 16397, 16582, 16582, 16853, 62944, 27373, 16673, 58365, 23858, 24767, 16723, 16958, 34097, 16665, 16396, 18700, 16395, 42315, 16672, 37183, 17416, 49960, 16395, 16647, 44945, 16674, 24734, 16673, 24767, 16723, 16958, 28060, 16809, 29850, 21078, 16604, 16391, 21926, 16724, 16682, 22519, 16395, 16796, 16400, 16402, 16400, 16404, 16419, 16392, 16673, 16719, 16400, 16407, 27123, 21876, 21874, 16604, 16391, 32572, 16397, 16443, 16386, 16604, 16408, 16404, 16408, 16408, 16405, 16402, 16396, 16408, 16399, 16401, 16392, 16734, 16704, 26804, 20885, 21876, 16673, 63718, 16398, 16861, 34340, 16654, 55873, 16398, 23162, 16604, 16391, 16401, 16404, 16409, 16402, 16404, 16409, 16403, 16399, 16395, 16776, 16398, 16469, 16398, 16469, 16392, 16767, 19924, 18960, 16604, 16400, 16397, 16399, 20464, 38632, 16398, 17784, 16715, 16604, 16401, 16399, 20464, 17784, 16445, 16442, 16415, 23965, 16401, 16400, 16444, 16445, 16397, 16772, 50598, 16958, 47149, 16815, 16604, 16401, 16399, 16399, 16671, 16604, 16404, 16399, 16399, 20464, 37708, 16809, 18345, 36304, 17197, 20879, 37898, 16604, 16391, 16419, 19240, 16392, 16395, 16914, 22644, 16674, 24734, 16958, 22557, 16815, 16647, 35319, 17005, 16674, 25442, 18124, 16767, 16604, 16401, 16401, 16406, 20464, 37708, 30163, 16671, 27723, 24767, 16723, 16397, 16772, 22635, 20189, 16673, 35265, 24767, 16723, 16763, 22557, 16815, 16647, 16604, 16445, 16400, 16445, 16423, 16674, 16604, 16445 ]
[ 0, 16396, 16396, 16396, 16582, 38841, 16409, 16604, 16390, 18495, 19583, 33306, 16697, 24860, 45021, 43017, 21515, 16604, 16391, 16418, 28673, 16392, 17586, 16769, 19272, 16815, 24036, 16674, 18046, 16396, 43679, 16719, 28673, 33775, 16396, 27101, 16674, 25833, 33692, 16395, 16944, 16868, 24998, 58973, 16719, 28673, 27274, 16661, 26034, 16734, 20176, 23544, 32448, 18295, 28562, 61482, 16397, 16772, 17785, 16396, 24609, 16719, 28673, 27274, 16661, 42907, 20028, 17975, 16396, 27642, 20490, 17268, 25691, 16815, 44379, 20189, 16672, 16647, 19164, 16396, 18489, 24892, 18676, 16397, 18708, 42907, 16769, 16804, 20519, 29781, 16809, 20839, 17142, 16396, 20352, 26204, 16395, 17274, 16741, 16647, 17803, 26335, 16397, 20195, 16395, 16742, 17231, 16604, 16387, 16429, 16387, 16396, 18972, 40739, 16396, 20423, 17944, 35628, 16673, 16719, 28673, 27274, 16661, 26034, 16671, 27768, 17142, 18846, 16396, 19434, 26204, 16409, 16647, 27274, 16661, 42978, 16917, 16396, 20352, 27505, 21559, 17917, 16604, 16391, 36357, 16392, 16674, 25442, 28062, 16397, 17119, 17299, 16721, 17213, 26204, 21005, 18650, 17624, 16804, 26757, 16809, 16647, 17142, 16396, 20352, 17917, 16395, 16674, 18288, 18462, 41493, 16715, 16647, 24036, 33775, 16396, 27101, 32338, 18073, 16861, 18256, 30539, 16460, 17595, 29643, 62408, 16604, 16391, 35003, 26878, 16392, 21378, 16397, 41112, 17097, 16647, 21452, 16396, 19338, 37528, 20543, 17662, 16395, 16742, 25633, 16604, 16408, 16387, 16443, 24565, 16387, 16604, 16391, 36357, 16392, 16674, 16604, 16405, 16387, 16443, 24565, 16387, 16604, 16391, 16801, 22234, 16392, 17438, 42765, 16673, 17213, 26204, 16734, 24153, 26878, 16397, 19736, 30156, 30761, 20519, 22982, 16715, 16647, 17975, 16396, 40107, 30449, 16798, 16673, 16647, 27274, 16661, 37528, 23960, 16395, 16944, 16704, 18650, 16674, 19108, 16703, 40627, 16397, 34882, 17806, 16647, 17803, 26335, 16395, 31173, 16395, 16674, 25442, 28062, 16715, 24153, 26878, 16868, 60180, 42630, 18918, 32043, 16672, 16647, 16604, 16387, 16443, 28246, 16446, 16460, 16387, 16396, 16387, 16443, 24565, 16446, 16407, 16387, 23769, 16809, 16604, 16387, 16443, 36167, 16604, 16402, 16399, 16443, 16388, 16387, 16395, 19739, 16671, 17655, 16647, 17803, 26335, 19958, 16397, 16390, 16582, 26371, 16409, 16582, 16396, 16604, 16390, 16425, 16915, 41657, 16387, 16445, 16474, 16400, 16395, 16401, 16476, 16387, 16390, 16582, 16396, 16604, 16390, 16425, 16397, 37799, 21266, 16387, 16445, 16474, 16401, 16476, 16387, 16390, 16582, 16396, 16604, 16390, 20872, 16930, 16759, 16397, 24186, 21326, 16387, 16445, 16474, 16402, 16476, 16387, 16390, 16582, 16396, 16604, 16390, 18111, 33843, 22691, 16755, 16387, 16445, 16474, 16403, 16476, 16387, 16390, 16582, 16396, 16604, 16390, 37693, 31210, 60906, 34234, 16387, 16445, 16474, 16404, 16476, 16387, 16390, 16582, 16396, 16604, 16390, 16441, 25942, 23506, 16751, 18000, 16657, 16387, 16445, 16474, 16401, 16395, 16405, 16476, 16387, 16390, 16582, 16449, 34289, 20147, 16409, 16582, 16396, 16604, 16390, 36221, 16397, 54690, 16390, 16582, 23718, 16409, 16604, 16390, 16418, 28673, 16790, 28683, 32641, 16647, 22496, 53816, 16409, 30539, 16460, 18918, 17828, 22261, 24069, 16815, 16647, 18483, 16396, 23947, 31173, 16674, 40991, 18432, 16466, 16390, 16582, 16396, 16396, 16396, 16582, 16582, 38194, 16604, 16474, 16386, 19810, 16409, 16974, 16689, 16476, 16582, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16582, 16582, 20068, 17073, 17092, 25939, 16672, 19532, 16396, 23317, 43930, 20113, 16641, 23411, 18469, 18331, 16442, 16415, 36166, 16401, 16399, 16399, 16406, 16410, 16604, 16415, 16423, 16729, 17180, 16401, 16399, 16399, 16407, 16444, 16674, 26230, 25939, 16672, 23968, 16396, 23317, 43930, 18514, 17202, 18469, 18331, 16442, 16415, 43139, 16401, 16399, 16400, 16400, 16410, 16604, 16415, 16466, 16761, 21326, 16401, 16399, 16400, 16400, 16444, 16395, 21801, 48775, 27274, 16661, 16673, 16647, 45021, 43017, 21515, 16604, 16391, 16418, 28673, 16392, 16704, 17178, 25880, 39488, 16741, 16641, 42630, 18918, 31169, 18331, 16442, 16415, 16423, 35882, 16401, 16399, 16400, 16402, 16410, 16604, 16415, 31477, 16401, 16399, 16400, 16402, 16410, 16604, 16415, 16431, 19992, 45217, 16401, 16399, 16400, 16403, 16448, 16410, 16604, 16415, 16431, 19992, 45217, 16401, 16399, 16400, 16403, 16449, 16410, 16604, 16415, 16417, 18359, 25306, 23828, 16760, 16401, 16399, 16400, 16405, 16410, 16604, 16415, 40625, 16401, 16399, 16400, 16403, 16410, 16604, 16415, 16416, 17094, 16401, 16399, 16400, 16403, 16410, 16604, 16415, 21329, 25006, 45508, 16401, 16399, 16400, 16403, 16410, 16604, 16415, 21329, 25006, 45508, 16401, 16399, 16400, 16404, 16410, 16604, 16415, 28794, 16760, 16401, 16399, 16400, 16404, 16471, 16469, 16444, 16397, 17813, 16914, 17210, 16671, 16647, 21827, 16395, 16719, 28673, 57770, 50407, 16767, 18901, 34303, 16604, 16387, 16473, 16412, 16400, 16400, 16399, 16399, 16387, 16769, 17358, 18991, 16809, 16647, 64042, 18798, 16395, 25695, 17009, 45751, 16672, 26034, 16673, 16719, 28673, 21452, 16674, 46444, 60264, 18134, 16817, 16397, 23666, 16706, 18619, 18138, 16709, 17213, 45751, 16843, 16703, 21627, 16671, 16647, 21852, 60264, 32392, 26034, 16671, 41550, 16641, 48029, 25018, 16673, 16647, 16719, 28673, 27274, 16661, 19056, 18331, 16442, 16415, 16441, 18981, 16668, 16755, 26969, 16400, 16408, 16408, 16407, 16410, 16604, 16415, 16441, 18981, 16668, 16755, 26969, 16400, 16408, 16408, 16408, 16410, 16604, 16415, 52316, 25593, 53530, 16401, 16399, 16399, 16401, 16410, 16604, 16415, 25593, 53530, 16401, 16399, 16399, 16402, 16444, 16397, 16719, 28673, 27274, 16661, 16843, 31169, 24812, 19902, 35830, 16395, 17274, 16741, 16647, 19851, 18712, 26832, 16673, 17731, 16674, 24084, 53068, 32761, 16395, 17181, 17073, 29214, 16671, 16647, 36261, 16673, 16647, 24855, 16674, 16647, 19134, 16673, 20189, 16604, 16391, 19914, 17143, 21620, 16397, 18331, 16442, 16415, 55375, 16401, 16399, 16399, 16405, 16410, 16604, 16415, 16423, 35882, 16401, 16399, 16400, 16399, 16444, 16715, 16641, 18603, 16392, 16397, 16582, 16582, 17071, 16811, 19420, 16395, 16742, 18077, 16647, 17975, 16396, 40107, 30449, 17624, 25499, 16672, 16719, 28673, 27274, 16661, 28101, 16397, 16772, 49971, 40986, 16671, 16647, 24892, 18676, 26807, 17285, 18443, 16671, 44379, 23777, 16709, 17785, 33563, 16767, 19164, 18032, 16397, 23121, 16395, 17975, 16396, 40107, 30449, 26204, 16604, 16391, 16456, 16397, 16452, 16397, 16395, 26204, 20371, 16647, 17803, 26335, 16392, 16769, 19865, 16671, 25217, 16647, 17769, 17624, 16672, 16647, 24892, 18676, 16397, 24423, 16985, 16872, 16992, 21216, 20888, 16604, 16391, 17347, 16779, 38381, 16674, 28536, 16834, 16392, 16709, 21801, 48775, 27274, 16661, 16673, 40220, 16395, 17187, 36657, 31991, 16395, 19095, 16673, 16719, 28673, 21452, 16398, 57094, 17873, 24294, 16395, 16769, 50338, 16604, 16391, 17752, 24601, 16604, 16894, 23896, 25963, 27274, 16661, 16900, 16392, 16397, 30419, 18147, 19318, 16807, 17494, 31525, 16721, 17975, 16396, 40107, 30449, 26204, 16843, 60180, 42630, 18918, 32043, 17014, 16873, 16769, 22722, 16734, 16647, 17142, 16396, 20352, 28667, 17917, 16785, 38325, 17803, 26335, 16397, 16442, 16445, 16400, 16444, 24423, 17975, 16396, 40107, 30449, 26204, 16807, 17027, 16992, 21627, 16672, 16647, 16719, 28673, 20409, 16671, 16647, 18792, 20225, 18888, 16396, 16441, 16744, 16743, 16451, 40966, 21686, 16395, 17789, 18846, 16396, 19434, 23395, 18331, 16442, 16415, 58427, 16401, 16399, 16400, 16401, 16410, 16604, 16415, 49607, 16401, 16399, 16400, 16402, 16410, 16604, 16415, 32593, 16760, 16401, 16399, 16400, 16402, 16467, 16434, 16441, 16410, 16604, 16415, 32593, 16760, 16401, 16399, 16400, 16404, 16467, 16434, 16441, 16444, 16395, 16647, 25235, 17149, 21645, 18331, 16442, 16415, 16417, 17159, 16467, 16959, 52928, 16401, 16399, 16400, 16401, 16410, 16604, 16415, 16418, 19385, 19838, 16401, 16399, 16400, 16403, 16410, 16604, 16415, 32593, 16760, 16401, 16399, 16400, 16402, 16467, 16434, 16441, 16410, 16604, 16415, 32593, 16760, 16401, 16399, 16400, 16404, 16467, 16434, 16441, 16444, 16395, 16674, 16647, 16917, 16396, 20352, 27505, 21559, 17917, 16604, 16391, 36357, 16392, 18331, 16442, 16415, 49607, 16401, 16399, 16400, 16403, 16449, 16410, 16604, 16415, 32593, 16760, 16401, 16399, 16400, 16402, 16467, 16434, 16441, 16410, 16604, 16415, 32593, 16760, 16401, 16399, 16400, 16404, 16467, 16434, 16441, 16444, 16397, 16875, 16858, 19140, 16395, 26253, 17975, 16396, 40107, 30449, 17624, 16763, 17494, 16395, 56401, 22818, 42630, 18918, 32043, 16397, 16582, 16582, 16853, 29723, 16671, 18077, 17975, 16396, 40107, 30449, 26204, 16673, 16719, 28673, 27274, 16661, 26034, 16704, 17567, 16396, 29036, 16397, 19833, 16395, 16647, 16719, 28673, 27274, 16661, 38641, 16704, 25628, 16671, 23820, 16767, 17362, 18901, 34303, 16604, 16391, 16387, 16473, 16443, 36167, 16401, 16397, 16399, 16387, 16395, 19739, 16671, 16604, 16387, 16473, 16443, 36167, 16399, 16397, 16403, 16387, 16715, 23850, 36657, 27274, 16661, 23375, 16392, 16410, 27626, 16719, 28673, 27274, 16661, 17975, 16396, 40107, 30449, 26204, 31169, 18334, 44379, 16798, 16721, 16704, 20371, 16647, 20378, 16673, 36657, 33692, 16397, 22872, 16395, 16719, 28673, 27274, 16661, 17257, 16804, 25873, 16815, 16991, 24809, 17434, 38478, 16721, 16769, 21646, 16671, 36657, 27274, 16661, 16395, 17789, 41892, 29727, 17235, 16673, 40220, 16395, 18345, 29110, 18901, 34303, 41920, 16395, 16674, 22005, 27317, 52211, 16397, 23466, 16395, 16641, 22722, 19335, 16673, 36657, 27274, 16661, 16674, 16719, 28673, 27274, 16661, 16868, 16703, 21221, 16671, 17799, 16641, 21504, 23040, 33192, 16709, 44379, 20189, 23777, 16395, 16741, 17204, 16741, 16671, 51369, 16758, 17434, 38478, 16672, 17490, 36657, 16674, 16719, 28673, 27274, 16661, 33692, 18331, 16442, 16415, 16427, 30522, 16401, 16399, 16400, 16405, 16410, 16604, 16415, 16417, 17271, 16737, 16401, 16399, 16400, 16405, 16410, 16604, 16415, 16434, 21534, 16657, 16401, 16399, 16400, 16405, 16410, 16604, 16415, 41321, 16455, 16401, 16399, 16400, 16405, 16410, 16604, 16415, 42717, 21563, 16401, 16399, 16400, 16405, 16444, 16397, 24229, 16395, 16719, 28673, 27274, 16661, 27615, 16807, 19193, 23373, 16641, 26618, 16673, 23454, 29214, 16674, 23544, 16671, 20897, 16647, 16604, 16391, 25982, 16665, 16392, 27274, 16661, 25870, 16673, 25979, 16786, 18331, 16442, 16415, 30577, 26580, 18974, 16724, 16401, 16399, 16400, 16403, 16410, 16604, 16415, 16417, 17271, 16737, 16401, 16399, 16400, 16405, 16410, 16604, 16415, 32593, 16760, 16401, 16399, 16400, 16404, 27350, 16444, 16397, 17170, 23649, 16721, 26204, 25628, 16671, 16647, 44379, 19134, 16673, 20189, 16395, 17226, 16397, 16452, 16397, 16395, 17975, 16396, 40107, 30449, 26204, 16395, 16868, 17027, 18977, 16703, 60757, 16397, 17119, 26157, 19057, 16721, 16811, 16704, 22685, 16647, 17843, 16395, 18625, 16741, 16641, 21178, 21378, 16647, 24036, 32338, 18073, 16861, 18256, 30539, 16460, 17595, 29643, 62408, 16604, 16391, 35003, 26878, 16392, 22309, 18331, 16442, 16415, 16423, 16806, 17251, 16401, 16399, 16400, 16405, 16444, 16397, 16582, 16582, 27783, 16396, 40107, 30449, 22797, 16673, 16647, 16719, 28673, 27274, 16661, 18676, 16807, 19193, 30199, 19761, 16395, 17490, 16741, 16641, 19056, 21686, 16674, 16641, 19419, 16673, 28338, 16672, 16719, 28673, 27274, 16661, 17803, 26335, 25500, 16397, 41112, 16647, 27274, 16661, 17975, 16396, 40107, 30449, 16798, 16741, 16641, 21686, 16395, 16641, 18961, 36611, 18077, 16673, 16647, 16719, 28673, 27274, 16661, 25235, 17149, 21645, 16809, 25862, 16397, 18331, 16442, 16415, 61843, 17442, 23964, 16401, 16399, 16400, 16405, 16444, 25633, 16665, 17073, 20897, 18038, 16671, 16703, 16604, 16403, 16399, 16387, 16443, 24565, 16387, 16734, 16641, 16719, 28673, 33775, 16396, 20137, 21378, 16397, 25862, 16397, 18331, 16442, 16415, 16417, 17519, 16460, 16401, 16399, 16400, 16405, 16444, 20888, 16647, 17092, 33051, 16673, 16647, 28338, 29983, 16672, 16719, 28673, 27274, 16661, 17803, 26335, 25500, 16809, 16647, 27274, 16661, 25235, 17149, 21645, 16395, 21311, 17975, 16396, 27642, 20490, 17268, 52211, 16715, 33775, 16396, 27101, 16674, 25833, 16719, 28673, 25717, 16397, 17143, 21620, 16397, 18331, 16442, 16415, 22075, 16649, 17457, 16401, 16399, 16400, 16405, 16444, 16674, 18331, 16442, 16415, 21285, 16462, 55720, 16401, 16399, 16400, 16405, 16444, 19570, 16719, 28673, 27274, 16661, 19938, 37549, 16815, 16647, 33657, 16673, 16647, 35218, 40986, 16395, 16734, 16647, 19022, 18077, 21311, 16721, 17498, 16396, 38119, 19246, 30169, 26148, 16647, 28033, 16719, 28673, 27274, 16661, 25235, 17149, 21645, 16395, 19739, 16671, 16647, 25691, 16815, 44379, 20189, 24261, 19958, 16397, 17119, 40102, 16721, 16647, 16604, 16387, 16429, 16387, 16396, 18972, 40739, 16396, 20423, 17944, 35628, 17405, 16672, 16811, 16985, 26370, 25217, 17274, 19938, 16604, 17205, 16742, 16829, 16804, 17231, 16647, 35218, 40986, 16397, 18523, 16395, 16742, 18328, 17097, 16647, 27274, 16661, 19056, 16604, 16387, 16443, 22853, 16387, 16785, 42978, 16604, 16387, 16443, 34388, 16387, 17348, 16604, 16391, 21670, 16809, 16604, 16387, 16443, 34388, 16604, 16412, 16604, 16396, 16443, 35422, 16445, 16401, 16604, 16443, 22853, 16398, 16401, 16387, 16392, 16395, 21413, 16641, 19165, 16673, 16647, 57074, 19056, 16785, 19521, 29992, 16715, 18368, 16985, 16604, 16391, 24993, 16397, 18331, 16442, 16415, 22075, 16649, 17457, 16401, 16399, 16400, 16405, 16444, 16872, 25402, 16721, 16647, 57074, 19056, 46109, 17975, 16396, 16467, 34913, 18846, 16396, 19434, 26204, 16392, 16397, 16875, 16641, 17482, 16396, 16825, 19420, 16395, 16647, 35628, 20101, 17348, 16769, 17405, 16671, 16922, 29674, 47132, 16719, 28673, 27274, 16661, 17803, 26335, 52211, 37549, 16815, 16647, 25235, 17149, 21645, 16674, 18846, 16396, 19434, 45751, 16604, 16442, 16415, 43978, 21326, 16401, 16399, 16400, 16405, 16444, 16397, 16582, 16582, 17507, 18328, 16647, 17975, 16396, 40107, 30449, 16798, 16672, 16647, 16719, 28673, 27274, 16661, 18676, 16741, 16641, 19056, 21686, 16397, 17119, 17231, 16641, 32511, 16673, 16604, 16403, 16405, 16604, 16387, 16429, 16387, 16396, 18972, 40739, 16396, 20423, 17944, 35628, 16671, 26426, 17142, 17975, 16396, 40107, 30449, 26204, 21627, 16671, 16719, 28673, 27274, 16661, 42978, 26034, 16604, 17205, 16647, 16917, 16396, 20352, 31173, 16674, 25442 ]
[ 0, 40622, 16604, 16396, 16396, 37448, 16641, 16398, 32542, 24129, 16660, 16398, 32542, 24129, 16582, 21190, 16604, 16401, 16453, 16405, 16407, 16452, 16400, 16403, 16397, 16397, 16401, 16405, 16401, 16407, 16401, 16401, 16448, 16604, 16400, 16399, 16399, 16405, 16403, 16403, 16582, 16396, 16396, 16396, 16641, 16398, 32542, 24129, 16582, 16394, 16394, 16394, 16660, 16398, 32542, 24129, 16582, 16415, 16415, 16604, 16396, 16400, 16395, 16402, 16604, 16394, 16400, 16395, 16402, 16407, 16604, 16415, 16415, 16582, 16394, 17635, 16704, 16667, 16793, 17320, 16471, 42534, 16721, 25107, 16670, 43383, 32069, 16435, 50167, 16397, 16582, 16604, 16582, 16396, 30687, 16725, 16704, 18125, 16767, 19562, 16409, 16398, 16398, 17284, 47028, 16397, 18431, 16582, 16394, 54976, 16725, 16409, 16582, 16394, 16582, 16394, 16696, 16397, 16398, 61394, 16604, 16396, 16396, 20110, 16396, 16451, 43383, 16396, 17491, 25981, 16604, 16443, 16582, 16394, 16696, 16696, 16396, 16396, 20110, 16396, 16451, 43383, 16412, 16398, 38774, 16398, 16466, 24144, 16398, 16451, 43383, 16604, 16443, 16582, 16394, 16696, 16696, 16397, 16397, 16397, 16582, 16394, 16696, 28702, 16582, 16394, 16696, 28702, 20121, 16582, 16394, 16582, 16394, 51568, 16709, 30734, 16604, 16391, 20110, 17434, 55894, 16392, 16409, 16582, 16394, 16582, 16394, 16696, 16386, 17190, 16647, 38532, 16396, 17284, 47028, 22730, 17701, 53715, 16672, 16912, 16739, 29345, 16582, 16394, 16696, 35060, 16739, 29345, 16412, 16398, 38774, 16398, 24665, 16398, 17284, 47028, 16398, 16466, 24144, 16409, 16387, 43810, 16582, 16394, 16582, 16394, 16696, 16386, 17685, 16858, 16647, 20796, 50167, 18125, 16672, 16912, 16686, 17320, 16471, 16582, 16394, 16696, 16684, 16904, 16396, 17284, 47028, 16604, 16396, 16427, 16604, 16390, 25619, 16391, 16385, 17284, 47028, 16385, 16392, 16397, 19632, 16391, 16385, 16393, 16385, 16392, 16390, 16582, 16394, 16582, 16394, 16696, 16386, 17535, 16647, 17709, 16397, 16684, 16463, 19471, 16582, 16394, 16696, 16684, 16904, 16396, 17284, 47028, 17709, 16397, 16684, 16463, 16582, 16394, 16582, 16394, 44628, 17709, 16397, 16684, 16463, 19471, 16409, 16582, 16394, 16582, 16394, 16696, 17491, 17100, 18322, 16582, 16394, 16696, 16474, 16582, 16394, 16696, 16696, 20054, 16391, 16385, 23226, 17944, 16397, 16650, 44316, 16719, 22082, 16427, 16396, 16418, 16671, 18168, 16397, 16443, 16461, 16385, 16392, 16582, 16394, 16696, 16476, 16582, 16394, 16582, 16394, 16696, 17491, 17100, 17650, 16391, 16385, 17284, 47028, 16385, 16392, 16397, 19632, 16391, 16385, 19020, 16396, 19541, 24060, 16396, 22000, 16385, 16392, 16582, 16394, 16696, 16474, 16582, 16394, 16696, 16696, 28419, 16391, 16385, 25523, 16409, 16604, 16388, 16466, 16414, 16388, 16466, 16443, 16461, 16385, 16395, 27490, 16471, 16446, 19020, 16446, 29147, 16446, 25523, 16391, 16387, 21485, 16400, 16392, 16395, 16582, 16394, 16696, 16696, 16696, 17284, 16471, 16446, 19020, 16446, 29147, 16446, 26040, 16391, 16387, 21485, 16400, 16392, 16392, 16582, 16394, 16696, 16476, 16582, 16394, 16582, 16394, 18264, 17178, 16395, 17097, 23679, 16709, 32765, 16656, 16604, 16400, 16400, 28738, 16674, 29142, 21154, 30734, 16604, 16400, 16406, 16397, 16582, 16394, 16582, 16394, 16853, 19170, 16793, 17320, 16471, 29076, 16704, 18125, 16767, 19562, 16409, 16398, 16398, 17284, 47028, 16397, 18431, 16582, 16604, 16582, 40622, 16604, 16396, 16396, 37448, 16641, 16398, 27764, 16398, 35578, 16660, 16398, 27764, 16398, 35578, 16582, 21190, 16662, 16406, 16453, 16405, 16407, 16405, 16450, 16397, 16397, 16451, 16405, 33879, 16403, 16404, 16406, 16604, 16400, 16399, 16399, 16405, 16403, 16403, 16582, 16396, 16396, 16396, 16641, 16398, 27764, 16398, 35578, 16582, 16394, 16394, 16394, 16660, 16398, 27764, 16398, 35578, 16582, 16415, 16415, 16604, 16396, 16400, 16405, 16395, 16405, 16604, 16394, 16400, 16405, 16395, 16401, 16399, 16604, 16415, 16415, 48633, 16582, 29787, 16582, 16604, 16582, 16604, 16582, 16394, 19827, 16604, 16385, 16397, 16387, 25855, 16439, 16446, 17904, 18987, 16446, 25855, 16439, 16446, 43810, 16385, 16672, 16582, 16394, 16696, 16397, 16398, 16393, 16392, 16582, 16394, 16696, 16410, 16410, 16582, 16394, 16582, 16394, 16696, 16397, 16392, 16582, 16394, 16696, 16696, 25855, 16439, 16446, 17904, 18987, 16446, 25855, 16439, 16446, 43810, 16412, 16387, 25855, 16439, 16446, 65310, 16398, 16466, 24144, 16398, 16684, 16904, 16396, 17284, 47028, 16582, 16394, 16696, 16410, 16410, 16582, 16394, 16582, 16394, 16696, 16393, 16392, 16582, 16394, 16696, 16696, 25855, 16439, 16446, 17904, 18987, 16446, 25855, 16439, 16446, 43810, 16412, 16387, 25855, 16439, 16446, 65310, 16398, 16387, 25855, 16439, 16446, 17904, 18987, 16446, 25855, 16439, 16446, 43810, 16582, 16394, 16696, 16410, 16410, 16582, 16394, 16659, 16861, 16582, 16394, 16582, 16394, 16582, 17843, 16604, 16385, 16397, 16387, 25855, 16439, 16446, 33441, 17681, 16446, 43810, 16385, 16672, 16582, 16696, 16604, 16397, 16398, 16393, 16392, 16582, 16696, 16604, 16410, 16410, 16582, 16415, 16415, 16604, 16396, 16403, 16408, 16395, 16405, 16604, 16394, 16405, 16402, 16395, 16400, 16405, 16604, 16415, 16415, 17843, 16604, 16385, 16397, 16387, 25855, 16439, 16446, 16431, 18320, 16446, 43810, 16385, 16672, 16582, 17700, 16861, 16582, 16604, 16582, 16604, 16582, 16394, 19827, 16604, 16385, 16397, 16387, 25855, 16439, 16446, 16435, 18987, 33514, 16446, 65310, 16385, 16672, 16582, 16394, 16696, 16397, 16398, 16393, 16604, 16475, 16604, 16397, 16392, 16582, 16394, 16696, 16410, 16410, 16582, 16394, 16582, 16394, 16696, 16393, 16392, 16582, 16394, 16696, 16696, 25855, 16439, 16446, 16435, 18987, 33514, 16446, 65310, 16412, 16387, 25855, 16439, 16446, 65310, 16398, 16387, 25855, 16439, 16446, 16435, 18987, 33514, 16446, 65310, 16582, 16394, 16696, 16410, 16410, 16582, 16394, 16659, 16861, 16582, 16394, 16582, 16394, 16582, 17843, 16604, 16385, 16397, 16387, 25855, 16439, 16446, 31929, 16446, 33551, 16446, 43810, 16385, 16672, 16582, 16696, 16604, 16397, 16398, 16393, 16604, 16475, 16604, 16397, 16392, 16582, 16696, 16604, 16410, 16410, 16582, 16415, 16415, 16604, 16396, 16400, 16403, 16406, 16395, 16405, 16604, 16394, 16400, 16406, 16400, 16395, 16402, 16405, 16604, 16415, 16415, 20121, 16409, 16581, 16387, 25855, 16439, 16446, 25488, 36751, 16387, 16474, 17284, 16471, 16446, 25302, 55763, 16476, 17284, 47028, 16387, 16474, 17284, 16471, 16446, 16449, 16856, 17048, 16476, 16604, 16443, 16582, 16604, 16581, 16581, 16475, 16475, 64304, 16604, 16396, 16433, 16604, 16387, 25855, 16439, 16446, 35392, 16604, 16390, 16443, 16387, 16391, 22370, 17904, 40240, 16392, 16387, 25855, 16439, 16446, 65310, 16390, 16582, 48633, 16582, 16604, 16582, 16394, 16736, 16604, 16442, 16604, 16387, 25855, 16439, 16446, 16419, 22082, 28650, 16604, 16412, 42908, 16604, 16396, 16448, 16604, 16387, 16419, 22082, 28650, 16446, 48769, 16446, 39118, 45054, 16435, 18987, 16604, 16412, 42908, 16604, 16444, 16410, 17177, 16582, 16394, 16582, 16394, 16696, 17284, 16471, 16446, 55894, 17793, 16446, 27333, 16466, 16412, 16385, 16387, 25855, 16439, 16446, 16435, 18987, 33514, 16446, 16434, 23089, 16434, 16385, 16582, 16394, 16582, 16394, 16696, 16696, 24066, 16604, 16411, 16411, 48633, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16413, 16413, 16604, 16387, 25855, 16439, 16446, 21423, 23876, 34551, 16582, 16394, 16581, 18922, 16604, 16396, 16451, 16604, 16390, 16443, 16387, 16391, 22370, 17904, 40240, 16392, 16387, 25855, 16439, 16446, 16435, 18987, 33514, 16446, 65310, 16390, 16604, 16475, 16475, 16604, 16443, 16582, 16394, 16581, 16581, 39334, 25302, 16604, 16396, 16463, 16604, 16390, 16443, 16387, 16391, 22370, 17904, 40240, 16392, 16387, 25855, 16439, 16446, 16435, 18987, 33514, 16446, 65310, 16390, 16582, 16394, 26886, 16582, 16394, 16582, 16394, 16696, 17756, 27490, 16471, 16446, 55894, 17793, 16446, 27333, 16672, 16604, 16387, 17284, 16471, 16446, 55894, 17793, 16446, 27333, 16466, 16582, 16394, 16696, 19135, 16582, 16394, 16696, 16696, 17284, 16471, 16446, 55894, 17793, 16446, 20142, 16412, 16447, 27618, 27289, 16604, 16387, 17284, 16471, 16446, 55894, 17793, 16446, 27333, 16447, 16582, 16394, 16582, 16394, 16696, 16696, 24066, 16604, 16411, 16411, 48633, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16413, 16413, 16604, 16387, 25855, 16439, 16446, 21423, 23876, 34551, 16582, 16394, 16582, 16394, 16581, 36724, 16604, 16396, 16452, 16604, 16385, 16466, 16475, 25855, 16439, 16446, 33441, 17681, 16446, 43810, 16475, 16387, 25855, 16439, 16446, 33441, 17681, 16446, 43810, 16475, 16454, 16385, 16604, 16387, 17284, 16471, 16446, 21873, 16446, 19048, 16604, 16443, 16582, 16394, 16696, 16696, 16696, 16696, 16387, 17284, 16471, 16446, 55894, 17793, 16446, 27333, 16604, 16413, 16604, 16390, 16443, 16387, 16391, 22370, 17904, 40240, 16392, 16387, 25855, 16439, 16446, 16435, 18987, 33514, 16446, 65310, 16398, 16387, 17284, 16471, 16446, 55894, 17793, 16446, 20142, 16390, 16582, 16394, 26886, 16582, 16394, 16582, 16394, 16696, 31534, 16582, 16394, 16582, 16394, 16696, 24066, 16604, 16411, 16411, 48633, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16413, 16413, 16604, 16387, 25855, 16439, 16446, 21423, 23876, 34551, 16582, 16394, 16582, 16394, 16581, 18922, 16604, 16396, 16451, 16604, 16390, 16443, 16387, 16391, 22370, 17904, 40240, 16392, 16447, 57772, 16604, 16385, 16387, 25855, 16439, 16446, 17904, 18987, 16446, 25855, 16439, 16446, 43810, 16385, 16447, 16390, 16604, 16475, 16475, 16604, 16443, 16582, 16394, 16581, 16581, 39334, 25302, 16604, 16396, 16463, 16604, 16390, 16443, 16387, 16391, 22370, 17904, 40240, 16392, 16447, 57772, 16604, 16385, 16387, 25855, 16439, 16446, 17904, 18987, 16446, 25855, 16439, 16446, 43810, 16385, 16447, 16390, 16582, 16394, 16581, 28835, 16604, 16387, 25855, 16439, 16446, 25488, 36751, 16398, 16684, 16904, 16396, 17284, 47028, 16604, 16390, 16443, 16387, 16391, 22370, 17904, 40240, 16392, 16387, 25855, 16439, 16446, 17904, 18987, 16446, 25855, 16439, 16446, 43810, 16390, 16582, 16394, 16581, 16717, 18852, 16604, 16399, 16406, 16404, 16404, 16604, 16390, 16443, 16387, 16391, 22370, 17904, 40240, 16392, 16387, 25855, 16439, 16446, 17904, 18987, 16446, 25855, 16439, 16446, 43810, 16390, 16582, 16394, 26886, 16582, 16394, 16582, 16394, 25487, 16582, 16604, 16582, 16980, 17709, 16604, 16396, 16461, 16604, 16385, 16387, 25855, 16439, 16446, 31929, 16446, 33551, 16446, 43810, 16385, 16410, 17177, 16582, 16696, 19713, 16604, 16411, 16411, 48633, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16413, 16413, 16604, 16387, 25855, 16439, 16446, 21423, 23876, 34551, 16582, 16415, 16415, 16604, 16396, 16400, 16404, 16407, 16395, 16405, 16604, 16394, 16401, 16400, 16401, 16395, 16400, 16407, 16604, 16415, 16415, 48633, 16582, 29787, 16582, 16604, 16582, 16604, 16582, 16394, 16736, 16604, 16442, 16604, 16387, 25855, 16439, 16446, 16419, 22082, 28650, 16604, 16412, 42908, 16604, 16444, 16410, 17177, 16582, 16394, 16696, 24066, 16604, 16411, 16411, 48633, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16413, 16413, 16604, 16387, 25855, 16439, 16446, 21423, 23876, 34551, 16582, 16394, 16582, 16394, 16387, 25855, 16439, 16446, 25488, 36751, 16387, 16474, 17284, 16471, 16446, 25302, 55763, 16476, 16684, 16904, 16396, 17284, 47028, 16409, 31342, 16398, 16451, 43383, 16398, 16684, 16904, 16396, 17284, 47028, 16582, 16394, 16581, 36724, 16604, 16396, 16452, 16604, 16385, 16466, 16475, 25855, 16439, 16446, 16435, 18987, 33514, 16446, 65310, 16475, 16387, 25855, 16439, 16446, 16435, 18987, 33514, 16446, 65310, 16475, 16454, 16385, 16604, 16387, 17284, 16471, 16446, 21873, 16446, 19048, 16604, 16443, 16582, 16394, 16696, 16696, 16696, 16396, 16452, 16604, 16385, 16466, 16475, 25855, 16439, 16446, 33441, 17681, 16446, 40240, 16475, 16447, 57772, 16604, 16387, 25855, 16439, 16446, 33441, 17681, 16446, 43810, 16447, 16475, 16454, 16385, 16604, 16387, 17284, 16471, 16446, 21873, 16446, 19048, 16604, 16443, 16582, 16394, 16696, 16696, 16696, 16396, 16452, 16604, 16385, 16466, 16475, 25855, 16439, 16446, 33441, 17681, 16446, 43810, 16475, 16387, 25855, 16439, 16446, 33441, 17681, 16446, 43810, 16475, 16454, 16385, 16604, 16387, 17284, 16471, 16446, 21873, 16446, 19048, 16604, 16443, 16582, 16394, 16696, 16696, 16696, 27333, 16398, 16451, 43383, 16398, 16684, 16904, 16396, 17284, 47028, 16604, 16413, 16604, 16387, 25855, 16439, 16446, 25488, 36751, 16387, 16474, 17284, 16471, 16446, 25302, 55763, 16476, 16684, 16904, 16396, 17284, 47028, 16582, 16394, 26886, 16582, 16394, 25487, 16582, 16394, 16582, 16394, 16582, 16604, 16386, 18725, 23734, 20142, 16582, 16604, 16582, 19713, 16604, 16411, 16411, 48633, 16604, 16413, 16413, 23734, 20142, 16582, 40622, 16604, 16396, 16396, 37448, 16641, 16398, 27764, 16398, 28702, 16660, 16398, 27764, 16398, 28702, 16582, 21190, 16670, 20038, 16399, 16400, 16400, 16450, 16397, 16397, 16404, 16406, 16665, 16408, 16408, 16453, 16604, 16400, 16399, 16399, 16405, 16403, 16403, 16582, 16396, 16396, 16396, 16641, 16398, 27764, 16398, 28702, 16582, 16394, 16394, 16394, 16660, 16398, 27764, 16398, 28702, 16582, 16415, 16415, 16604, 16396, 16401, 16406, 16395, 16405, 16604, 16394, 16401, 16406, 16395, 16408, 16604, 16415, 16415, 16790, 36506, 16604, 16412, 16581, 16387, 60660, 16582, 16604, 16582, 48633, 16582, 16604, 16582, 16394, 16736, 16604, 16442, 16604, 16387, 25855, 16439, 16446, 16419, 22082, 28650, 16604, 16412, 42908, 16604, 16444, 16410, 17177, 16582, 16394, 16696, 29461, 16759, 22082, 28650, 16604, 16412, 16604, 16387, 16419, 22082, 28650, 16696, 16696, 16696, 16696, 16650, 16604, 16413, 16413, 16604, 16387, 25855, 16439, 16446, 21423, 23876, 34551, 16582, 16394, 25487, 16582, 16604, 16582, 16980, 17709, 16604, 16396, 16461, 16604, 16385, 16387, 25855, 16439, 16446, 32562, 16427, 16446, 16418, 44390, 16434, 16385, 16410, 17177, 16582, 16696, 26588, 55093, 16439, 16446, 32562, 16427, 16446, 16418, 44390, 16434, 16604, 16412, 16604, 16387, 25855, 16439, 16446, 32562, 16427, 16446, 16418, 44390, 16434, 16696, 16696, 16696, 16696, 16650, 16604, 16413, 16413, 16604, 16387, 25855, 16439, 16446, 21423, 23876, 34551, 16582, 16415, 16415, 16604, 16396, 16401, 16399, 16403, 16395, 16405, 16604, 16394, 16401 ]
[ 0, 31201, 16395, 17746, 16384, 19898, 16732, 18183, 16671, 21815, 22000, 16912, 26409, 17417, 16414, 17511, 17811, 16671, 18344, 16891, 16647, 52851, 18418, 16671, 34275, 22186, 16395, 16672, 18150, 16671, 16647, 24189, 16672, 16811, 17498, 16397, 16582, 16582, 62143, 17072, 16671, 22824, 16704, 16917, 16673, 17310, 17578, 16732, 17133, 17208, 17659, 26370, 16395, 17262, 16414, 30630, 16980, 16732, 16743, 16690, 16992, 16641, 20387, 16715, 16641, 17437, 16414, 16582, 16582, 18129, 16980, 16732, 16743, 16644, 16945, 21683, 16673, 16977, 17047, 16929, 16743, 16690, 30954, 16709, 16811, 17498, 16395, 16687, 17091, 16732, 16743, 16690, 17535, 17065, 16647, 17396, 18234, 16409, 16732, 16843, 16743, 16467, 18314, 16397, 17332, 17121, 16743, 16467, 17039, 17016, 16671, 17335, 16785, 17199, 17187, 16671, 17298, 19702, 16397, 16999, 16994, 17930, 16743, 16467, 17659, 26370, 16715, 18594, 16397, 16582, 16582, 16424, 16743, 16690, 16992, 37928, 16672, 16991, 21672, 17608, 16687, 16763, 16641, 22974, 16397, 16687, 19210, 17422, 17805, 16903, 16672, 16887, 19741, 16767, 18097, 17014, 16887, 17417, 19273, 32378, 16395, 21259, 16641, 17703, 31275, 18056, 16715, 25131, 16674, 21034, 16397, 16687, 58786, 16672, 16674, 16891, 16673, 16641, 22187, 17585, 16674, 19273, 25057, 16715, 16887, 19744, 16673, 23468, 16395, 20290, 16687, 18833, 16743, 16467, 17199, 17811, 17016, 16604, 16894, 47106, 16797, 16900, 16671, 17107, 17208, 17158, 16945, 16397, 24229, 16687, 27086, 16811, 18056, 16721, 16687, 16961, 16854, 16671, 20330, 17014, 16687, 18167, 16671, 20047, 16397, 16582, 16582, 16424, 20589, 16721, 24327, 16674, 16887, 17417, 19678, 35492, 17285, 16397, 18916, 32549, 16671, 17482, 20437, 16687, 17579, 19513, 17141, 16397, 28235, 16709, 16687, 20816, 16721, 16980, 16687, 16763, 17395, 16671, 17754, 16811, 16903, 16395, 26409, 16763, 17395, 16671, 16703, 16667, 22009, 17015, 16673, 16887, 17417, 16397, 16582, 16582, 18129, 17348, 16743, 16466, 16647, 17792, 16397, 16687, 30722, 16767, 37928, 16397, 16582, 16582, 16424, 17335, 16721, 16641, 17687, 30726, 16672, 37228, 17172, 16767, 17965, 16687, 16743, 16460, 18387, 16395, 16674, 16687, 16743, 16460, 18408, 17811, 18056, 54003, 16671, 20611, 16824, 30999, 18579, 16673, 21444, 16687, 20105, 16888, 17210, 16397, 17403, 17723, 16848, 17882, 16667, 18185, 16673, 17016, 16887, 47450, 16843, 17158, 16945, 17445, 16582, 16582, 18971, 27539, 19410, 17021, 16395, 16687, 17062, 30388, 16395, 19045, 19596, 18678, 18179, 16641, 19201, 16673, 18032, 16397, 16582, 16582, 16424, 19987, 17762, 16709, 16887, 19592, 16674, 17298, 29599, 17805, 17181, 29402, 16674, 43816, 16395, 16671, 25369, 16903, 16887, 20483, 16397, 16687, 17298, 19395, 16931, 16887, 17386, 16397, 16582, 16582, 58934, 16709, 16647, 17386, 16395, 16687, 18422, 17337, 16991, 16673, 16647, 23794, 16785, 16854, 16985, 16891, 16397, 17937, 17646, 16728, 17021, 16674, 20207, 16922, 16397, 16582, 16582, 19231, 16991, 17411, 16687, 17762, 16671, 18056, 16945, 16687, 17039, 16687, 17208, 16604, 16391, 16770, 17137, 16671, 16392, 16409, 16582, 16582, 16894, 23913, 19571, 18056, 16395, 20677, 16732, 16715, 16647, 20104, 55628, 16395, 20677, 16732, 16715, 40871, 17038, 17797, 17445, 17519, 16687, 18995, 17072, 29429, 16743, 16466, 36531, 16704, 16811, 19571, 16397, 16687, 16743, 16683, 17109, 16671, 17882, 17107, 16888, 24139, 16395, 16850, 17092, 16687, 16743, 16683, 17109, 16671, 17190, 26595, 17445, 17519, 17028, 16395, 16687, 18453, 16742, 16743, 16644, 16804, 16891, 16673, 25452, 17445, 17519, 22331, 18056, 16395, 16687, 17881, 16395, 42632, 16395, 19600, 17261, 29429, 17477, 17607, 17445, 16656, 16733, 17204, 18010, 16671, 16854, 16671, 16647, 22864, 16414, 56763, 16395, 16687, 17324, 17109, 16671, 30751, 17310, 28400, 16709, 16647, 17210, 17616, 16395, 33605, 18467, 16671, 17430, 17007, 17329, 16733, 22485, 17445, 17519, 31371, 18056, 16395, 22331, 16395, 20957, 38241, 17187, 16763, 16687, 16414, 56763, 16395, 16687, 16743, 16460, 16859, 25081, 16395, 16843, 16743, 16467, 18314, 17445, 16900, 16582, 16582, 16424, 17120, 25533, 16647, 20041, 16673, 17417, 16687, 16743, 16460, 16672, 16395, 16850, 16647, 20477, 16704, 16687, 16807, 17686, 30990, 16734, 16811, 16397, 16687, 16743, 16460, 16641, 26170, 16711, 16395, 17686, 20695, 16395, 17686, 19709, 21399, 20747, 16673, 17187, 16687, 16743, 16460, 16767, 16397, 16582, 16582, 16424, 16807, 26218, 17255, 16672, 16647, 18943, 16397, 16582, 16582, 18811, 16687, 22824, 16395, 16687, 16994, 16843, 16743, 16467, 18314, 16397, 16582, 16582, 21184, 17047, 26370, 23326, 16914, 27815, 16891, 16671, 18056, 17155, 17005, 16873, 17762, 16671, 17107, 16397, 31796, 16807, 16671, 18212, 16728, 17181, 19545, 16674, 23746, 16397, 43595, 16944, 23479, 16687, 18618, 17065, 16397, 16582, 16582, 16424, 16743, 16690, 17366, 16647, 24969, 16673, 27585, 16721, 22857, 17072, 16671, 22824, 16704, 16641, 23393, 16721, 18594, 17208, 17039, 25103, 16395, 16850, 16728, 17930, 16743, 16467, 18761, 16985, 16721, 17210, 16397, 17376, 18148, 23752, 18904, 53084, 16734, 26710, 16687, 17039, 16721, 16887, 26409, 17417, 16704, 16804, 17536, 16671, 16703, 40054, 16673, 16395, 16850, 16728, 29675, 16641, 28560, 16672, 18446, 16721, 18467, 38651, 16397, 16582, 16582, 20605, 16647, 17202, 16687, 16743, 16690, 20816, 16721, 16986, 16769, 16641, 17563, 16673, 19223, 16671, 19244, 16734, 18056, 16672, 16641, 27759, 17210, 16397, 16687, 17123, 16804, 16703, 16647, 16604, 16401, 16400, 16684, 20655, 53257, 16771, 16395, 16850, 16687, 16843, 22824, 63007, 16674, 17803, 18742, 17199, 16734, 16887, 16952, 16457, 38630, 16395, 41089, 20934, 16673, 17796, 16397, 17426, 16732, 28517, 16671, 16811, 16395, 16687, 18453, 16732, 17121, 16743, 16467, 17477, 25057, 16397, 18662, 17039, 16721, 18056, 16704, 23787, 16395, 17028, 18798, 17016, 16732, 17590, 16397, 17294, 16980, 16732, 17477, 16945, 16732, 17121, 16743, 16467, 17039, 17072, 16671, 22824, 16395, 17121, 16743, 16467, 22069, 16397, 16999, 16743, 16466, 17579, 17441, 19164, 16671, 18212, 16397, 16582, 16582, 18571, 17999, 34275, 18196, 17332, 18662, 17960, 16743, 16467, 36319, 16582, 16582, 21055, 16769, 16991, 19406, 24189, 16931, 17072, 16671, 22824, 16674, 19244, 16734, 18056, 16980, 16732, 23889, 16734, 34133, 16674, 18314, 16397, 20099, 16703, 17811, 18344, 16891, 16647, 17953, 21280, 16687, 20140, 16741, 16641, 17539, 16673, 16647, 29735, 16673, 16811, 17498, 16395, 16944, 16704, 16641, 17015, 16673, 16887, 17953, 22515, 20555, 16397, 16582, 16582, 54607, 16891, 25138, 16582, 16582, 21516, 16395, 17199, 17014, 16732, 16743, 16644, 16809, 19486, 16397, 17937, 16804, 16809, 19486, 16397, 18196, 16687, 16763, 16641, 20047, 19540, 16687, 16961, 33619, 16687, 16763, 16709, 16887, 19592, 17437, 16687, 44244, 17560, 16887, 18623, 16671, 17568, 16859, 17047, 19601, 16743, 16467, 17133, 16687, 16763, 22706, 16384, 16687, 17133, 16673, 16647, 17971, 16673, 23464, 16397, 16711, 46986, 17060, 17780, 35080, 17077, 18777, 16671, 22824, 16671, 16998, 21275, 16850, 16647, 22404, 16395, 18352, 23464, 20726, 16671, 22824, 61064, 16674, 45762, 18010, 16671, 16969, 23864, 16397, 19907, 17727, 16743, 16467, 16733, 51434, 16785, 16829, 16728, 16672, 16888, 17693, 16414, 16604, 16391, 23531, 23464, 16604, 16405, 16397, 16392, 16687, 17393, 16721, 17014, 16687, 17190, 16887, 21444, 37070, 16395, 16873, 16743, 16644, 17827, 18715, 16671, 24811, 17021, 16397, 16582, 16582, 41321, 16678, 59983, 16582, 16582, 19084, 17109, 16671, 17659, 16903, 16734, 45398, 53681, 18878, 17014, 16873, 16743, 16690, 18022, 16992, 19517, 16397, 18855, 16743, 16467, 17762, 16709, 18267, 16674, 23836, 16891, 16410, 17335, 16647, 18878, 16674, 17881, 17007, 16397, 16687, 16743, 16460, 16641, 20594, 16673, 17719, 16396, 18489, 16472, 16678, 59983, 16734, 21772, 29865, 16741, 25359, 16671, 18884, 16604, 16894, 16455, 21704, 18350, 37094, 16900, 17030, 16674, 17030, 16397, 20339, 16641, 18875, 18566, 16398, 16455, 42559, 16666, 16395, 16785, 20235, 16891, 16991, 29865, 16674, 17590, 16728, 16384, 16582, 16582, 41321, 16674, 17190, 18267, 16815, 16912, 18544, 16671, 16647, 20973, 16604, 17205, 31206, 17786, 18218, 16604, 16404, 16409, 16400, 16408, 16582, 16582, 23846, 16734, 16647, 20973, 16743, 16466, 41969, 16582, 16582, 31148, 16986, 16704, 17369, 18020, 16672, 30934, 16397, 16999, 16843, 17754, 16907, 16709, 18821, 16397, 20437, 16743, 37586, 16958, 16734, 17107, 23752, 16674, 17724, 16807, 18215, 16888, 18774, 16734, 16888, 24915, 16395, 16674, 18352, 16873, 17363, 18666, 16395, 16604, 16894, 20868, 16829, 16742, 22824, 16414, 16900, 20437, 25246, 16641, 25093, 16672, 26368, 16604, 16405, 16409, 16408, 17064, 16400, 16402, 16409, 16582, 16582, 17635, 16395, 17177, 16395, 16704, 17072, 16732, 17208, 22824, 16409, 16604, 16743, 20965, 24915, 16672, 27023, 16395, 23710, 28701, 16703, 16912, 17830, 16395, 16912, 29326, 17659, 16395, 16912, 16868, 16703, 18090, 16395, 16709, 21006, 16741, 16728, 16704, 16672, 27023, 16397, 27545, 16907, 18120, 17038, 20217, 25452, 16397, 17294, 35932, 16907, 17038, 39855, 16395, 16741, 16742, 17027, 16807, 51313, 17038, 21622, 17035, 16397, 17294, 17474, 16907, 16804, 17065, 47401, 16395, 16850, 21254, 16907, 16815, 16647, 23594, 16917, 16397, 16743, 16582, 16582, 18811, 16687, 17121, 16743, 16467, 17039, 17016, 16671, 17335, 16395, 16687, 17039, 16687, 16843, 16743, 16467, 16854, 18909, 16734, 52789, 18056, 16395, 21259, 16721, 16888, 16868, 16703, 18090, 16410, 21259, 16715, 17016, 16687, 17109, 16395, 16715, 39398, 16674, 16715, 17261, 17181, 16887, 39791, 16397, 16582, 16582, 16424, 18889, 16758, 17369, 31904, 16672, 16647, 23794, 16582, 16582, 21260, 16741, 20437, 17280, 16667, 18185, 16672, 26409, 16395, 16859, 17132, 17259, 16977, 17047, 16672, 16647, 23794, 16397, 32322, 16917, 16397, 16687, 17652, 38215, 16743, 16466, 26409, 16672, 16604, 16400, 32091, 16604, 16401, 16409, 16400, 17064, 16400, 16399, 16715, 41496, 16397, 16582, 16582, 40400, 16582, 16582, 17409, 16743, 16466, 52222, 16741, 16687, 19666, 16811, 16859, 45583, 16704, 16709, 16641, 17563, 16673, 17047, 16743, 16466, 26509, 16410, 18919, 16395, 16728, 17930, 16743, 16467, 16807, 16671, 16703, 16641, 18321, 23486, 16671, 16969, 16912, 18544, 16674, 18282, 54118, 21882, 16397, 16687, 17039, 16721, 25635, 16687, 16807, 37886, 16641, 20839, 19535, 16809, 19813, 16903, 18308, 16395, 16647, 35345, 16704, 16641, 22551, 16395, 17777, 40237, 32033, 16721, 16887, 21034, 18526, 16815, 18056, 19958, 16397, 17673, 20954, 16848, 18314, 16397, 16582, 16582, 54607, 34563, 16582, 16582, 17635, 24816, 16704, 16715, 16732, 16395, 19326, 17205, 49469, 16732, 16929, 17121, 16743, 16467, 16807, 16922, 17032, 18514, 22671, 19109, 16671, 45843, 18021, 16397, 17332, 16743, 16644, 18366, 18022, 21582, 16673, 16811, 16395, 16850, 37928, 17930, 16743, 16467, 16807, 16671, 16703, 16641, 24518, 18094, 16397, 18056, 16743, 16466, 23787, 16858, 16647, 17005, 16397, 29327, 16641, 18730, 20788, 16395, 16641, 27884, 16891, 16715, 16912, 17746, 16395, 30800, 16395, 16785, 16641, 19181, 16715, 17261, 25635, 16732, 17133, 16673, 16728, 16397, 18381, 24684, 24756, 17132, 16728, 23752, 16395, 16980, 16732, 17137, 26736, 16397, 16582, 16582, 17506, 20537, 16880, 17686, 16395, 22824, 34563, 16395, 17882, 20788, 16672, 16858, 23258, 16410, 16715, 16811, 16704, 18056, 16743, 16466, 16868, 16715, 16732, 16672, 17996, 20437, 16397, 16604, 17205, 16400, 63282, 53609, 18218, 16604, 16404, 16409, 16400, 16405, 17064, 16400, 16407, 16582, 16582, 54607, 16734, 16912, 19347, 16582, 16582, 17635, 18633, 20212, 16395, 16850, 16704, 16728, 16414, 16687, 24468, 21739, 16671, 17199, 22824, 16767, 28680, 16397, 24392, 16687, 38701, 17590, 16671, 16807, 19607, 18032, 19796, 16647, 17386, 16397, 17170, 19545, 16804, 17097, 16715, 17007, 17205, 16654, 20954, 16848, 17441, 16397, 17119, 22824, 17014, 16742, 22863, 16903, 16647, 17378, 16604, 16391, 42628, 17172, 16811, 16704, 38838, 16674, 16687, 17109, 16647, 32294, 23408, 16392, 16397, 17119, 22824, 16767, 16647, 20227, 16673, 17038, 17613, 17386, 16397, 17119, 22824, 25635, 18148, 16704, 27703, 16785, 22474, 16785, 16704, 17255, 53656, 16397, 17119, 22824, 17014, 19347, 20105, 28789, 16674, 16742, 22824, 17014, 25966, 18103, 25109, 28789, 16397, 17119, 22824, 17014, 17536, 22563, 20778, 16674, 16742, 17137, 16671, 20677, 18056, 16397, 17119, 22824, 16741, 16641, 17797, 16767, 59936, 16397, 18708, 16769, 18730, 16674, 17123, 16785, 17123, 16804, 17686, 16703, 18445, 54783, 16395, 16850, 16732, 17039, 17016, 16414, 17513, 17188, 16903, 16397, 17294, 17016, 16743, 16466, 16922, 16395, 16732, 16743, 16644, 21641, 17007, 17072, 16671, 22824, 16384, 16582, 16582, 54607, 16734, 16912, 33170, 16582, 16582, 31148, 16811, 30656, 18220, 16734, 16647, 37928, 16734, 16647, 19347, 17792, 16395, 16850, 16742, 17590, 16671, 20522, 16767, 17965, 16991, 17005, 16672, 26409, 18226, 20217, 16397, 33475, 16671, 17590, 17536, 18445, 17777, 40237, 16414, 28722, 16671, 22824, 16672, 16647, 20231, 16673, 16641, 19080, 16397, 16582, 16582, 21010, 16715, 16641, 26409, 18623, 16785, 19786, 16582, 16582, 16424, 17132, 16811, 16641, 17563, 16922, 17329, 16687, 16955, 19347, 16674, 17014, 16873, 16958, 16726, 23469, 19101, 16397, 18662, 19395, 16931, 16728, 18199, 16848, 17137, 16671, 16969, 17141, 16672, 16647, 23746, 16397, 17664, 16704, 17536, 16931, 17255, 19067, 16721, 61226, 16647, 18282, 16397, 18196, 16732, 16743, 16644, 16891, 22232, 16732, 16743, 16644, 17827, 18715, 16671, 16703, 41089, 16734, 16912, 16671, 16396, 19135, 17685, 16397, 25284, 16395, 16986, 16743, 16466, 19927, 16397, 16582, 16582, 16853, 49465, 32468, 16647, 30182, 16673, 18056, 16410, 16647, 43545, 44775, 16647, 16985, 16673, 16888, 19531, 16397, 16604, 17205, 22776, 28049, 16604, 16400, 16408, 16409, 16400, 16582, 16582, 54607, 16647, 16739, 34491, 17413, 16582, 16582, 16424, 19210, 16647, 17092, 17005, 16687, 17337, 17181, 16647, 17547, 16673, 16739, 34491, 17413, 16410, 16687, 16763, 19765, 31986, 16397, 21366, 16395, 17324, 16397, 18073, 16721, 17005, 16687, 16763, 18387, 16671, 35675, 16647, 19461, 16721, 16647, 23794, 21035, 16395, 16674, 16687, 16763, 24779, 31735, 18119, 17181, 16811, 17238, 17301, 20555, 16673, 27978, 16397, 17403, 17202, 18242, 16395, 16687, 17652, 16647, 16739, 34491, 17413, 17172, 16873, 16807, 32261, 16848 ]
[ 0, 16438, 17146, 34647, 16582, 16582, 16385, 37675, 17109, 16804, 16807, 19668, 16671, 16703, 18159, 16397, 44423, 16674, 25705, 16769, 16647, 27893, 16396, 46972, 16466, 16721, 16868, 41630, 17014, 22840, 23528, 16769, 25891, 16674, 50262, 16395, 16674, 23704, 16397, 16385, 16604, 16396, 20015, 31804, 16730, 16395, 16772, 22347, 17392, 16604, 16396, 26520, 26437, 16604, 16391, 46919, 16796, 18000, 16657, 16392, 16582, 16582, 16385, 16416, 21197, 22688, 16704, 16647, 17262, 19189, 16397, 42455, 16742, 17659, 19028, 16917, 16673, 17310, 34762, 16697, 17262, 18878, 16672, 16641, 17547, 16785, 16641, 25519, 16647, 23526, 17717, 16704, 19902, 16741, 17204, 16741, 23569, 16395, 16674, 52596, 24643, 16397, 16385, 16604, 16396, 18905, 63711, 16582, 16582, 16385, 19231, 16647, 20227, 16986, 16763, 16647, 25818, 16604, 16396, 16767, 16647, 17291, 16994, 16647, 16719, 28710, 16397, 16385, 16604, 16396, 24289, 16656, 23098, 16832, 17470, 16450, 16582, 16582, 36635, 21328, 16582, 16582, 16424, 16743, 16690, 16992, 17324, 18183, 19035, 16671, 16647, 19578, 16673, 16811, 17547, 16674, 16728, 16743, 16466, 19987, 17348, 16672, 54912, 16741, 17204, 16741, 59714, 16397, 16772, 59714, 16872, 16992, 16891, 16715, 24900, 16395, 16850, 16687, 24367, 39764, 16728, 17348, 18015, 16647, 20235, 23881, 16763, 18125, 17441, 16397, 16999, 21998, 16887, 17971, 16395, 16604, 16894, 18564, 30667, 16673, 16647, 46774, 16697, 25568, 16900, 16395, 16944, 16704, 18366, 16647, 17154, 18741, 17971, 16687, 16743, 16690, 18021, 19517, 16397, 16687, 28544, 37079, 16709, 16887, 21675, 24137, 16647, 25074, 16673, 17047, 17238, 18399, 16671, 16848, 16672, 16647, 19184, 16673, 16728, 16397, 16999, 16743, 16466, 22254, 16647, 22177, 16734, 16641, 53139, 16673, 20360, 17047, 16674, 16687, 16743, 16460, 17811, 16914, 20030, 16868, 16703, 21748, 16397, 20195, 16743, 16466, 16647, 48359, 16674, 16991, 22389, 34003, 17735, 16409, 16582, 16582, 16894, 21466, 59248, 16661, 16674, 16767, 18032, 38957, 16395, 16702, 18763, 16431, 26886, 18525, 20325, 16759, 18763, 16426, 18937, 16721, 26892, 16843, 16395, 16674, 17208, 16395, 16807, 27122, 16397, 16900, 16604, 16477, 28748, 23414, 30005, 16395, 50141, 23582, 22308, 24106, 16395, 16674, 18421, 16673, 22550, 18653, 16395, 31853, 18698, 16395, 39999, 16647, 30621, 16397, 16582, 16582, 16894, 16434, 18763, 16431, 26886, 18525, 20325, 16759, 18763, 16426, 19933, 16641, 30047, 56677, 16673, 16816, 18285, 16395, 17619, 18653, 16395, 54815, 16674, 17238, 19851, 17637, 18653, 16384, 16900, 16604, 16477, 29429, 64820, 22432, 16395, 18219, 16707, 16957, 26982, 22308, 24106, 16674, 17360, 18533, 21564, 49361, 18421, 16673, 24845, 16673, 23763, 16674, 16965, 16396, 16438, 17533, 16582, 16582, 16419, 18763, 16426, 16582, 16416, 17005, 17415, 18032, 16397, 16582, 16582, 16416, 65161, 55703, 17536, 64479, 16674, 24150, 17536, 18321, 16397, 16582, 16416, 28392, 16947, 43149, 16647, 52886, 34095, 19575, 16647, 33144, 16397, 16582, 41771, 16697, 17652, 16704, 17494, 16672, 16647, 61503, 16765, 16673, 20276, 16397, 16582, 18621, 28319, 16674, 25705, 16769, 20589, 17445, 24237, 16397, 16582, 16582, 16424, 19728, 16728, 16961, 16703, 17324, 19711, 16671, 17646, 18226, 16641, 17685, 16673, 17369, 19331, 16809, 23128, 19558, 16396, 26972, 16395, 34973, 16674, 43847, 24836, 16859, 17047, 17120, 25167, 16807, 16647, 17514, 18126, 20070, 24265, 17685, 16673, 58141, 16702, 20840, 16674, 26892, 19331, 18021, 16397, 18916, 53336, 16672, 16667, 43702, 17769, 16673, 58141, 17763, 16662, 16675, 35641, 16395, 16687, 17178, 16807, 16811, 22389, 32776, 16904, 16837, 16673, 58141, 17763, 16662, 16675, 35641, 16397, 16999, 16743, 16466, 17963, 16815, 37299, 16604, 17064, 16986, 16769, 32665, 16922, 16891, 16986, 16604, 17064, 16850, 16728, 16743, 16466, 18408, 24972, 38701, 16397, 17664, 17324, 16704, 17536, 16715, 18594, 16397, 22689, 16641, 33909, 17181, 16395, 18615, 16647, 24669, 16395, 17337, 16647, 34003, 17735, 16604, 17064, 16980, 16732, 16945, 16728, 16395, 18367, 16728, 16384, 38960, 16671, 20276, 16673, 21593, 16769, 17262, 16986, 16734, 17155, 17547, 16397, 25913, 16769, 22682, 43390, 17587, 16809, 18421, 53402, 16397, 17294, 17121, 16743, 16467, 21739, 16671, 18367, 32665, 16673, 19331, 16715, 16912, 17797, 16674, 18659, 16715, 18126, 20070, 17441, 16397, 17664, 16743, 16466, 17324, 17028, 17607, 23103, 17032, 16641, 17547, 16397, 16604, 16391, 43001, 16732, 17109, 16641, 17009, 44580, 17840, 16785, 17536, 16395, 16850, 16732, 17039, 17016, 16687, 17881, 16397, 16392, 22589, 20634, 16732, 16671, 23103, 16693, 26800, 16741, 17204, 16395, 17121, 16743, 16467, 21739, 16395, 16741, 16829, 18295, 16977, 33839, 16674, 36048, 16397, 22689, 16728, 16767, 16384, 16582, 16582, 58267, 16832, 27391, 16582, 16582, 18495, 16461, 18690, 17229, 16582, 16582, 18495, 16461, 18690, 17229, 19530, 16671, 18437, 32795, 31369, 16674, 16888, 17797, 16397, 21093, 24969, 16397, 16582, 16582, 17611, 19262, 16772, 17403, 18588, 16395, 16641, 21306, 49364, 30731, 16734, 16641, 25931, 32956, 16721, 18200, 17107, 18325, 16647, 17394, 16397, 16582, 16582, 18111, 17178, 16395, 16709, 16888, 17911, 17616, 16671, 20727, 16604, 17064, 16671, 58137, 16888, 18544, 16395, 22109, 16674, 17797, 16604, 17064, 16888, 40661, 19094, 18302, 16734, 16641, 38698, 16915, 16396, 17082, 23889, 17415, 23585, 43021, 16397, 16582, 16582, 33202, 27726, 16704, 21827, 16397, 21861, 42831, 16769, 18088, 17161, 27561, 16673, 17144, 16461, 18690, 17229, 16409, 16647, 28655, 33132, 16674, 16647, 23636, 16749, 24815, 16397, 16582, 16582, 17894, 16667, 26443, 33718, 21497, 17415, 28086, 16674, 17144, 30832, 16604, 17064, 17415, 16647, 31369, 41141, 16674, 16647, 23636, 16749, 24815, 16604, 17064, 32795, 16743, 16466, 17797, 30983, 16672, 26942, 19223, 17445, 16804, 16858, 16673, 21445, 16769, 18206, 16397, 16582, 16582, 17071, 16641, 17963, 18368, 17187, 19000, 16704, 16858, 16850, 63707, 22913, 54661, 16815, 24159, 16395, 16700, 17249, 18599, 16704, 16917, 16673, 16647, 29411, 16397, 17614, 16843, 18123, 16664, 16942, 16395, 16647, 18843, 25426, 16673, 18798, 16395, 40857, 17007, 17065, 17009, 21497, 17655, 30934, 47833, 16674, 22658, 16397, 16772, 31627, 16769, 17369, 16395, 16674, 17049, 16704, 16917, 16673, 17154, 20349, 29819, 17047, 16672, 16647, 18329, 16397, 17403, 16721, 16763, 17329, 16647, 16604, 16894, 25188, 17200, 16900, 16397, 44764, 19070, 16673, 16968, 24297, 16395, 21011, 19575, 16641, 35859, 24297, 19552, 16395, 17049, 24150, 21928, 20542, 17285, 16671, 16647, 17238, 26572, 17743, 16673, 20322, 16397, 22496, 17600, 16395, 40923, 16724, 16782, 16674, 27526, 16831, 16395, 16700, 17249, 18599, 17724, 21498, 16671, 16641, 17009, 17417, 30383, 16604, 16894, 17094, 35818, 16900, 16395, 16647, 19341, 17939, 18860, 16809, 16664, 16942, 16397, 17403, 16741, 17049, 26699, 16671, 17393, 16929, 16872, 18090, 16858, 16673, 16811, 16671, 16968, 16395, 17049, 17027, 21833, 16671, 22074, 16721, 38117, 16704, 16922, 17889, 17032, 18777, 17120, 19769, 16397, 16582, 16582, 16853, 32082, 18088, 17415, 16647, 52724, 53838, 16688, 23197, 16674, 16647, 61094, 23092, 44349, 16874, 16715, 16647, 18123, 16673, 16647, 23648, 18329, 16673, 24247, 17139, 16396, 20876, 16396, 51714, 16874, 16872, 59906, 16397, 17544, 16700, 17249, 18599, 16395, 46587, 17989, 16968, 28905, 23394, 16674, 20542, 17285, 16741, 16641, 18229, 16697, 38117, 40025, 16395, 27843, 16641, 18194, 17208, 16703, 19406, 16397, 17403, 17014, 17199, 16968, 17304, 23394, 21083, 27747, 17647, 16968, 16395, 16700, 17249, 18599, 17724, 28804, 16991, 17238, 18741, 18707, 17647, 16968, 27771, 16671, 21071, 16647, 20580, 17203, 16397, 16582, 16582, 16853, 19969, 18329, 16673, 24247, 17139, 16396, 20876, 16396, 51714, 16874, 24166, 16672, 39023, 16397, 16772, 52724, 52562, 18102, 16807, 22130, 16914, 18159, 19927, 16395, 16674, 16914, 17885, 16671, 29812, 17285, 16647, 53293, 17415, 30863, 16397, 17999, 16807, 16641, 19489, 16673, 49224, 17007, 16395, 16700, 17249, 18599, 17724, 16829, 16647, 22916, 16395, 16674, 17911, 16671, 16647, 17394, 17187, 16873, 16958, 19438, 16395, 16709, 16647, 16977, 18194, 16673, 16647, 53293, 16397, 19079, 21961, 16868, 19835, 16968, 17065, 16641, 24094, 20100, 16395, 16674, 17709, 16994, 17072, 17240, 17049, 16704, 21277, 16671, 29851, 16715, 16647, 29769, 16673, 17142, 30863, 16397, 16582, 16582, 33219, 16641, 17394, 17187, 24094, 31732, 16769, 25005, 16672, 16641, 18785, 16816, 16902, 16743, 16466, 18875, 16582, 16582, 23852, 44006, 17400, 58809, 17799, 24159, 16815, 34097, 16582, 16582, 18111, 16647, 20104, 19357, 23198, 16715, 47148, 16582, 16582, 16853, 47564, 16997, 16902, 26686, 16674, 20735, 32112, 48973, 16647, 33921, 20252, 25193, 16674, 26892, 18187, 20030, 16815, 20491, 16396, 28953, 22216, 21524, 28067, 17008, 16896, 17475, 16397, 19912, 27401, 38125, 63121, 59554, 16641, 54653, 33097, 19830, 19232, 16671, 16891, 18252, 46059, 16674, 32067, 33068, 16673, 25584, 16395, 17213, 20030, 34003, 16647, 20329, 17415, 39122, 16397, 16711, 20144, 16673, 42382, 17054, 26892, 16395, 19851, 45465, 16673, 16647, 18368, 16674, 16647, 16994, 26313, 22810, 16395, 17008, 16896, 17475, 16743, 16466, 35535, 16868, 19710, 16732, 16672, 16604, 17064, 16850, 17579, 17723, 16732, 16969, 23042, 16397, 16582, 16582, 29583, 16719, 22208, 16704, 16641, 38657, 21636, 22428, 16672, 23872, 39017, 24936, 16397, 18713, 21197, 20691, 24849, 16704, 16667, 60354, 21936, 16721, 20634, 17107, 16671, 17134, 16888, 30138, 16743, 24049, 17329, 16873, 17039, 16914, 33995, 19172, 16397, 16582, 16582, 17375, 16901, 63555, 19616, 17392, 16395, 26866, 29480, 17770, 16395, 25054, 21117, 17135, 16641, 19080, 16674, 27873, 16395, 16604, 17705, 16424, 17039, 16912, 20691, 16397, 16743, 29480, 17770, 18937, 21117, 17072, 16671, 39437, 17323, 16641, 47488, 33086, 16673, 24159, 16674, 17803, 16395, 25007, 17107, 17065, 16641, 18282, 16396, 16449, 18028, 25658, 20371, 16888, 18123, 16397, 17294, 18123, 16704, 17536, 21117, 19795, 18568, 16858, 18118, 16397, 16582, 16582, 16416, 49651, 17062, 29499, 16948, 52682, 21117, 16671, 16876, 23039, 16467, 16915, 16395, 16641, 44609, 16773, 18836, 21275, 17805, 16395, 16929, 22277, 17107, 19863, 27673, 16674, 22934, 16395, 16667, 32731, 21117, 24150, 24508, 16674, 24508, 16671, 21098, 16397, 17511, 21042, 16665, 16809, 21984, 32835, 20983, 16395, 16641, 64479, 35417, 23709, 16395, 21117, 22103, 16891, 16671, 25630, 16647, 17097, 17578, 16721, 16868, 17953, 17107, 16604, 17064, 16647, 16812, 17981, 16673, 16647, 23636, 16844, 16397, 17403, 16721, 21197, 24590, 17027, 16872, 16647, 19056, 16671, 39437, 17323, 16641, 52141, 16944, 17120, 17881, 16647, 17291, 16673, 16647, 17394, 16741, 16742, 17039, 16728, 16397, 16582, 16582, 29583, 16719, 22208, 16704, 18183, 16715, 20715, 16674, 18387, 16671, 17799, 16641, 17009, 17417, 16734, 16888, 19193, 25214, 30791, 33290, 16395, 16674, 35417, 27685, 16395, 21984, 32835, 20983, 16397, 17046, 16704, 39812, 16809, 16641, 20691, 27517, 16671, 17693, 17021, 16667, 50332, 48431, 16395, 18173, 61797, 16809, 17227, 16756, 16741, 18022, 24175, 24053, 16671, 16888, 40661, 16397, 51533, 23636, 51945, 16704, 35971, 18387, 16671, 16969, 16672, 20415, 16734, 16888, 19409, 16395, 21623, 40299, 16397, 18196, 16647, 17766, 16395, 19899, 33341, 16395, 27873, 16721, 40299, 16955, 20254, 21572, 17135, 38969, 21117, 16719, 22208, 16395, 23636, 51945, 19198, 17030, 18123, 16673, 19899, 33341, 16674, 21833, 28801, 16719, 22208, 19204, 16397, 21117, 16674, 16888, 23303, 18399, 16672, 16709, 17567, 38051, 16669, 17553, 16672, 23542, 16743, 16466, 21522, 16395, 16929, 17133, 16873, 16807, 44274, 23648, 24159, 16721, 16868, 26132, 17369, 24297, 16397, 17403, 16873, 16769, 22043, 16672, 16641, 58013, 16674, 23150, 17181, 16671, 16641, 23585, 19129, 18329, 16395, 27894, 16672, 16647, 19917, 16397, 19163, 19070, 16672, 16641, 17617, 22111, 16815, 18531, 16873, 17039, 16395, 28900, 16809, 16641, 39556, 16673, 36440, 16395, 21117, 16674, 16888, 18659, 17724, 17393, 16641, 17210, 16671, 24660, 29299, 41849, 16397, 16582, 16582, 29583, 16719, 22208, 16872, 16992, 24171, 16647, 20007, 16673, 16647, 17394, 16395, 16674, 16991, 17897, 16728, 16743, 16466, 17747, 16671, 17199, 16969, 16891, 16673, 19741, 16397, 55408, 16917, 18097, 16395, 16641, 19692, 16673, 16773, 18836, 25483, 16460, 17107, 16674, 30778, 17107, 17915, 16815, 16647, 46417, 33086, 16397, 21984, 32835, 20983, 16395, 30619, 16671, 20414, 16968, 34859, 16395, 21065, 16672, 26670, 16841, 16395, 16850, 16647, 27517, 18633, 40325, 16671, 17261, 16397, 16582, 16582, 57053, 18434, 23636, 51945, 16395, 16888, 40292, 33718, 16734, 21117, 16767, 16667, 17291, 16395, 16704, 17363, 26839, 16715, 16647, 21002, 16673, 16888, 19409, 16395, 21623, 40299, 16397, 16875, 31296, 58136, 16673, 38210, 16395, 23636, 51945, 16704, 24613, 16809, 16641, 19431, 16396, 27020, 16661, 17062, 30617, 16674, 16641, 17109, 16715, 35861, 16397, 18713, 20849, 16769, 29828, 16809, 16858, 16647, 28387, 20078, 16673, 19899, 33341, 53494, 16397, 16582, 16582, 30746, 32835, 20983, 17724, 27210, 16968, 22708, 29678, 16674, 17231, 16858, 16968, 20043, 16671, 36220, 21117, 16397, 17403, 17199, 16980, 17049, 16843, 17393, 17107, 16395, 16721, 16743, 16466, 17097, 16647, 17298, 16673, 16914, 19153, 16397, 16582, 16582, 17071, 16811, 18848, 21117, 16719, 22208, 17547, 16395, 33561, 16671, 16647, 17514, 24173, 16756, 45792, 16674, 29299, 41849, 16395, 17719, 26981, 16674, 17009, 18634, 16641, 18545, 19708, 16397, 21117, 16719, 22208, 39631, 16671, 16703, 16647, 23001, 16673, 19761, 16395, 16850, 16733, 16674, 21984, 32835, 20983, 17109, 16671, 19598, 18226, 16741, 16647, 17394, 16704, 28551, 18266, 16922, 16674, 17097, 21117, 16843, 20414, 16728, 16397, 16582, 16582, 16853, 18368, 17257, 16804, 22366, 16671, 16907, 22847, 16397, 16772, 39227, 28131, 16652, 16673, 16965, 17340, 16646, 17574, 16395, 45288, 16673, 16647, 16843, 17462, 16673, 16647, 22623, 16673, 16947, 16395, 16807, 28900, 16715, 17259, 38698, 16915, 16397, 17403, 17178, 16914, 29326, 16872, 27372, 16671, 16647, 64479, 16678, 16995, 16659, 16674, 16647, 23063, 28131, 16652, 35987, 16397, 16582, 16582, 58251, 17082, 16604, 17705, 58251, 16743, 44564, 16395, 16641, 22187, 16815, 16647, 18074, 16674, 20670, 16647, 17367, 18206, 17255, 23715, 16709, 16647, 23371, 16395, 24150, 19204 ]
[ 0, 16398, 16393, 16393, 16393, 16393, 16393, 16393, 16393, 16393, 16393, 16393, 16582, 17635, 22864, 16704, 17953, 20052, 16410, 16732, 16843, 39819, 21159, 16728, 16674, 16398, 16658, 33157, 16728, 17131, 16582, 17347, 19246, 16673, 16647, 54386, 28778, 16646, 20405, 20861, 31010, 16741, 19807, 16809, 16647, 16582, 27769, 27951, 21945, 16410, 18422, 19288, 16604, 16401, 16397, 16400, 16673, 16647, 31010, 16395, 16785, 16604, 16391, 16649, 16912, 16582, 23568, 16392, 16998, 18242, 19288, 16397, 16604, 16391, 23531, 16604, 16411, 19020, 16409, 16398, 16398, 18409, 16397, 20226, 16468, 16397, 18431, 16398, 34756, 18416, 17085, 16398, 17600, 16646, 16397, 20813, 16413, 16397, 16392, 16582, 16582, 17635, 22864, 16704, 25956, 16672, 16647, 18453, 16721, 16728, 16868, 16703, 21221, 16395, 16850, 61781, 16582, 49353, 58943, 18013, 24089, 16410, 17714, 17199, 16647, 36094, 39048, 16673, 64824, 20260, 27255, 57597, 16785, 61633, 54571, 16582, 29565, 16711, 46785, 18359, 60431, 56581, 16431, 35225, 16397, 16650, 23531, 16647, 54386, 28778, 16646, 20405, 20861, 31010, 16715, 16582, 19502, 20184, 16397, 16582, 16582, 18001, 17208, 16807, 19151, 16641, 20600, 16673, 16647, 54386, 28778, 16646, 20405, 20861, 31010, 16582, 43807, 16734, 16811, 22864, 16410, 16980, 16804, 16395, 19666, 16671, 16647, 22666, 27951, 21945, 16395, 19376, 16397, 16395, 16582, 16404, 16400, 31154, 20076, 16395, 40950, 46898, 16395, 23448, 16395, 24636, 16604, 16399, 16401, 16400, 16400, 16399, 16396, 16400, 16402, 16399, 16400, 16650, 32209, 16582, 16393, 16393, 16393, 16393, 16393, 16393, 16393, 16393, 16393, 16393, 16398, 16582, 16398, 16398, 16604, 16385, 35454, 32370, 16385, 16582, 16398, 16398, 34832, 16604, 16391, 16450, 16392, 16604, 16400, 16408, 16408, 16405, 16396, 16401, 16399, 16400, 16403, 24406, 39322, 16395, 19376, 16397, 16650, 19315, 19503, 28946, 16397, 16582, 16398, 16398, 16711, 49409, 16715, 16667, 16830, 17493, 19471, 16397, 16582, 16398, 16398, 53355, 16582, 16582, 16386, 23180, 16604, 16385, 16430, 17493, 21188, 33753, 16397, 24253, 16385, 16582, 16386, 23180, 16604, 16385, 16430, 17493, 28621, 19125, 16665, 39319, 16397, 24253, 16385, 16582, 16386, 23180, 16604, 16411, 23535, 52437, 33200, 16397, 24253, 16413, 16604, 16398, 16398, 16715, 16604, 16385, 17079, 18489, 17663, 17093, 16391, 16392, 16582, 16582, 55529, 22673, 22224, 16409, 16409, 55529, 22673, 22224, 16391, 33961, 17679, 16446, 22713, 16446, 16710, 35203, 16392, 16582, 16650, 16409, 17402, 58345, 30126, 17499, 16391, 16399, 16392, 16395, 18263, 16434, 20847, 16391, 16399, 16392, 16395, 17718, 55529, 31408, 18313, 28115, 18170, 16391, 16399, 16392, 16395, 16582, 16696, 22561, 55529, 19068, 17071, 28970, 16391, 27433, 16392, 16604, 16474, 16582, 16650, 20658, 16604, 16412, 17009, 45186, 16442, 26449, 16446, 22713, 16446, 16710, 35203, 16444, 16410, 16582, 16650, 17756, 16604, 16391, 33961, 17226, 16604, 16412, 16604, 16399, 16410, 17226, 16604, 16411, 17679, 16446, 22713, 16446, 16710, 35203, 16410, 16604, 16394, 16394, 16456, 16392, 19101, 16442, 16456, 16444, 16604, 16412, 16604, 16399, 16410, 16582, 16476, 16582, 16582, 55529, 22673, 22224, 16409, 16409, 16477, 55529, 22673, 22224, 16391, 16392, 16604, 16474, 16582, 16650, 28202, 16442, 16444, 19101, 16410, 16582, 16476, 16582, 16582, 16430, 17493, 21188, 33753, 16409, 16409, 16430, 17493, 21188, 33753, 16391, 16430, 17493, 21188, 16389, 17038, 21188, 16395, 17648, 18874, 23053, 16393, 20820, 23053, 16395, 16582, 16581, 16581, 16581, 16696, 17648, 18874, 23053, 16409, 16409, 16645, 34886, 39578, 16393, 16709, 23488, 39578, 16395, 19917, 16393, 16709, 23488, 24832, 19862, 16395, 16582, 16581, 16581, 16581, 16696, 16830, 17493, 28621, 19125, 16393, 17038, 28621, 19125, 16392, 16582, 16650, 16409, 34004, 33753, 16391, 22979, 23053, 16395, 16709, 23488, 39578, 16395, 16709, 23488, 24832, 19862, 16395, 19072, 60656, 16661, 16395, 16811, 16392, 16395, 16582, 16696, 16453, 20965, 21188, 16391, 16841, 21188, 16392, 16395, 16662, 25505, 23053, 16391, 22979, 23053, 16392, 16395, 16582, 16696, 16453, 18301, 23488, 39578, 16391, 16645, 23488, 39578, 16392, 16395, 16662, 18301, 23488, 24832, 19862, 16391, 16645, 23488, 24832, 19862, 16392, 16395, 16582, 16696, 16453, 20965, 28621, 19125, 16391, 16841, 28621, 19125, 16392, 16395, 16662, 31408, 18495, 17282, 37531, 23226, 18807, 16391, 16399, 16392, 16395, 16582, 16696, 16453, 55529, 22673, 22224, 16391, 36250, 16392, 16395, 16662, 28471, 39319, 25351, 16391, 16399, 16392, 16395, 16662, 16434, 26134, 55529, 16391, 36250, 16392, 16604, 16474, 16582, 16650, 16736, 16604, 16391, 16841, 28621, 19125, 16604, 16412, 16412, 24539, 16392, 16604, 16474, 16582, 16696, 16398, 16398, 34794, 17873, 16582, 16696, 16453, 28471, 37842, 21574, 16604, 16412, 16739, 31604, 19207, 16446, 42355, 16446, 35742, 16446, 34551, 16410, 16582, 16696, 32667, 60656, 16661, 16391, 16392, 16410, 16582, 16650, 16476, 18118, 16604, 16474, 16582, 16696, 16453, 28471, 37842, 21574, 16604, 16412, 16739, 31604, 19207, 16446, 23849, 16446, 63045, 57377, 19207, 16446, 16431, 55264, 16410, 16582, 16696, 16398, 16398, 16875, 16811, 17843, 16395, 60524, 16604, 16391, 17663, 19242, 17586, 16392, 17930, 16390, 16467, 17298, 18015, 16641, 21281, 21833, 19263, 16815, 16641, 19458, 16397, 16582, 16650, 16476, 16582, 16476, 16582, 16582, 16430, 17493, 21188, 33753, 16409, 16409, 16477, 16430, 17493, 21188, 33753, 16391, 16392, 16604, 16474, 16582, 16650, 28202, 16442, 16444, 16662, 16434, 26134, 55529, 16410, 16582, 16650, 28202, 16662, 55529, 22673, 22224, 16410, 16582, 16650, 24393, 17997, 16409, 16409, 27543, 16391, 16453, 25505, 23053, 16392, 16410, 16582, 16476, 16582, 16582, 21395, 16830, 17493, 21188, 33753, 16409, 16409, 32667, 60656, 16661, 16391, 21395, 16393, 21281, 19862, 16395, 45186, 17401, 16393, 16664, 18178, 16395, 45186, 19101, 16395, 18735, 17005, 17738, 24595, 20743, 16392, 16604, 16474, 16582, 16650, 16391, 16391, 16430, 17493, 21188, 33753, 16393, 16392, 24645, 19862, 16392, 16396, 16413, 32667, 60656, 16661, 16391, 16392, 16410, 16582, 16476, 16582, 16582, 21395, 16830, 17493, 21188, 33753, 16409, 16409, 32667, 60656, 16661, 16391, 16392, 16604, 16474, 16582, 16650, 16736, 16604, 16391, 16453, 25505, 23053, 16604, 16384, 16412, 24539, 16392, 16604, 16474, 16582, 16696, 16736, 16604, 16391, 16453, 25505, 23053, 16396, 16413, 16656, 38333, 16416, 29883, 16661, 19862, 16391, 16392, 16392, 17911, 16410, 16582, 16696, 16696, 16398, 16398, 19736, 20820, 19419, 16704, 19333, 17255, 17337, 16397, 29021, 18015, 16721, 17337, 50030, 16582, 16582, 16696, 16736, 16604, 16391, 16384, 26581, 16391, 16392, 16392, 16604, 16474, 16582, 16696, 16650, 16398, 16398, 17119, 17727, 16390, 16467, 18293, 16647, 60524, 16395, 17172, 16742, 16955, 16671, 17337, 16922, 17586, 16815, 16647, 19419, 16395, 16582, 16696, 16650, 16398, 16398, 16785, 17172, 16742, 16390, 16644, 21089, 16715, 17653, 17337, 16815, 41573, 16397, 16582, 16696, 16650, 16398, 16398, 22483, 16721, 20778, 16395, 16742, 16390, 16683, 16969, 18047, 17244, 16397, 16582, 16696, 16650, 17501, 16410, 16582, 16696, 16476, 16582, 16650, 16476, 16582, 16582, 16650, 16398, 16398, 17119, 24228, 57982, 16647, 19471, 16397, 16650, 22985, 17038, 16604, 16390, 31534, 16390, 17917, 17178, 16409, 16582, 16650, 16736, 16604, 16391, 16453, 18301, 23488, 39578, 16604, 16384, 16412, 24539, 16392, 16604, 16391, 16393, 16453, 18301, 23488, 39578, 16392, 16391, 16453, 18301, 23488, 24832, 19862, 16392, 16410, 16582, 16476, 16582, 16582, 36987, 16830, 17493, 21188, 33753, 16409, 16409, 26581, 16391, 16392, 16604, 16474, 16582, 16650, 21592, 16604, 16474, 16582, 16696, 20703, 16604, 16391, 16400, 16392, 16604, 16474, 16582, 16696, 16650, 29557, 16604, 16391, 16453, 28471, 37842, 21574, 16392, 16604, 16474, 16582, 16696, 16696, 19827, 16739, 31604, 19207, 16446, 42355, 16446, 35742, 16446, 34551, 16409, 16604, 16474, 16582, 16581, 16650, 16736, 16604, 16391, 26581, 23846, 20088, 21188, 16391, 16392, 16392, 17911, 25129, 16410, 16582, 16581, 16476, 16582, 16696, 16696, 19827, 16739, 31604, 19207, 16446, 23849, 16446, 63045, 57377, 19207, 16446, 16431, 55264, 16409, 16604, 16474, 16582, 16581, 16650, 26581, 18111, 28115, 18170, 53298, 16391, 16392, 16410, 16582, 16696, 16696, 16476, 16582, 16696, 16696, 19827, 54111, 57377, 19207, 16446, 16431, 25766, 19093, 16446, 64876, 17681, 16446, 60749, 16409, 16604, 16474, 16582, 16581, 16650, 16736, 16604, 16391, 25910, 18170, 55529, 40799, 26318, 16391, 16392, 16392, 17911, 31458, 16410, 16582, 16581, 16476, 16582, 16696, 16650, 16476, 16582, 16696, 16476, 16582, 16650, 16476, 20857, 16604, 16391, 16974, 16604, 16398, 16393, 16452, 16393, 16398, 16392, 16604, 16474, 16582, 16386, 43722, 24077, 34661, 16582, 16696, 52236, 16391, 54341, 16395, 16604, 16385, 16430, 17493, 21188, 33753, 16409, 16409, 26581, 16391, 16392, 27163, 58175, 19429, 16604, 16391, 17635, 16704, 19732, 20937, 16604, 16396, 16604, 16393, 18060, 16393, 16667, 20341, 16392, 16443, 16461, 16385, 16392, 16410, 16582, 16386, 31317, 16582, 16696, 17501, 31458, 16410, 16604, 16398, 16398, 16647, 60524, 17497, 40500, 16582, 16650, 16476, 16582, 16476, 16582, 16582, 36987, 16830, 17493, 21188, 33753, 16409, 16409, 26581, 23846, 20088, 21188, 16391, 16392, 16604, 16474, 16582, 16386, 43722, 24077, 34661, 16582, 16650, 52236, 16391, 54341, 16395, 16604, 16385, 46684, 16661, 17298, 16673, 19471, 16443, 16461, 16385, 16392, 16410, 16582, 16386, 31317, 16582, 16650, 16398, 16398, 21342, 16674, 32199, 17492, 16604, 16390, 22713, 16390, 16395, 18015, 16742, 17134, 16647, 17092, 17975, 16396, 16417, 19445, 19242, 16395, 16785, 18015, 16742, 16807, 16582, 16650, 16398, 16398, 23980, 16858, 19062, 43784, 16715, 30857, 38464, 16395, 16772, 21154, 16395, 16785, 23808, 16730, 19458, 16391, 16466, 16392, 16604, 16391, 16736, 16998, 16392, 16397, 16582, 16650, 16468, 16446, 16974, 16407, 16446, 16467, 32159, 16446, 18926, 16446, 38320, 16410, 16582, 16650, 19135, 16604, 16474, 16582, 16696, 29721, 16446, 18926, 16446, 38320, 16604, 16412, 32199, 35375, 26318, 16391, 16392, 16410, 16582, 16650, 16476, 17437, 16604, 16391, 16391, 29721, 16446, 18926, 16446, 38320, 16389, 16399, 16471, 16399, 16401, 16392, 16604, 16384, 16412, 16604, 16399, 16604, 16475, 16475, 17109, 45553, 16391, 16392, 16392, 16410, 16582, 16650, 16582, 16386, 43722, 24077, 34661, 16582, 16650, 52236, 16391, 54341, 16395, 16604, 16385, 28972, 17708, 60524, 17298, 16673, 19471, 16443, 16461, 16385, 16392, 16410, 16582, 16386, 31317, 16582, 16650, 17501, 25129, 16410, 16582, 16476, 16582, 16582, 22844, 18923, 16446, 16974, 16402, 16401, 16446, 16467, 34006, 26786, 16904, 16391, 16468, 16446, 16974, 16402, 16401, 16446, 16467, 18509, 16392, 16604, 16474, 16582, 16650, 17501, 16604, 16391, 16471, 16411, 16411, 16401, 16403, 16392, 16475, 16391, 16391, 16471, 16411, 16411, 16407, 16392, 16389, 16399, 16471, 16399, 16399, 20840, 16399, 16399, 16399, 16399, 16392, 16475, 16391, 16391, 16471, 16413, 16413, 16407, 16392, 16389, 16399, 16471, 16399, 16399, 16399, 16399, 20840, 16399, 16399, 16392, 16475, 16391, 16471, 16413, 16413, 16401, 16403, 16392, 16410, 16582, 16476, 16582, 16582, 16468, 16446, 16974, 16407, 16446, 16467, 16830, 17493, 21188, 33753, 16409, 16409, 26581, 35375, 26318, 16391, 16392, 16604, 16474, 16582, 16650, 16468, 16446, 16974, 16407, 16446, 16467, 32159, 16446, 18926, 16446, 38320, 16410, 16582, 16650, 16468, 16446, 16974, 16402, 16401, 16446, 16467, 18064, 21851, 16446, 37947, 16446, 26449, 16410, 16582, 16650, 26581, 23846, 20088, 26318, 16391, 29721, 16446, 18926, 16446, 38320, 16395, 18064, 21851, 16446, 37947, 16446, 26449, 16392, 16410, 16582, 16582, 16650, 16398, 16398, 17426, 16811, 16704, 16641, 16738, 19445, 19242, 16395, 27768, 16647, 17092, 16604, 16407, 34540, 16673, 16647, 17092, 16604, 16390, 55753, 16390, 16395, 16671, 17134, 18515, 16582, 16650, 16398, 16398, 16647, 19458, 17586, 18383, 16704, 16917, 16721, 16742, 17039, 17072, 16671, 20694, 16409, 16582, 16650, 16430, 17493, 39319, 16393, 19458, 16410, 16582, 16650, 16736, 16604, 16391, 16391, 29721, 16446, 18926, 16446, 38320, 16389, 16399, 16471, 16399, 16401, 16392, 16604, 16384, 16412, 16604, 16399, 16392, 16604, 16474, 16604, 16398, 16398, 16738, 19445, 16582, 16696, 20166, 17794, 16393, 16669, 16902, 18954, 16604, 16412, 24539, 16410, 16604, 16398, 16398, 16980, 24472, 16582, 16696, 16736, 16604, 16391, 16453, 55529, 22673, 22224, 16604, 16384, 16412, 24539, 16604, 16389, 16389, 16662, 55529, 22673, 22224, 16396, 16413, 20658, 16442, 16399, 16444, 16604, 16413, 16412, 16604, 16407, 16392, 16604, 16474, 16604, 16398, 16398, 53296, 18344, 16582, 16696, 16650, 20166, 45408, 16442, 16407, 16444, 16410, 16582, 16696, 16650, 18922, 34341, 16391, 16391, 16468, 16446, 16974, 16407, 16446, 16467, 16393, 16392, 26198, 16395, 16604, 16407, 16392, 16410, 16582, 16582, 16696, 16650, 16736, 16604, 16391, 18152, 37240, 18433, 16391, 16389, 26198, 16442, 16400, 16444, 16395, 16604, 16385, 28104, 38464, 16385, 16395, 16604, 16405, 16392, 16604, 16412, 16412, 16604, 16399, 16392, 16604, 16474, 16582, 16581, 16460, 16902, 18954, 16604, 16412, 16604, 16385, 41106, 16398, 16437, 18092, 16417, 18629, 16385, 16410, 16582, 16581, 16394, 16394, 16453, 31408, 18495, 17282, 37531, 23226, 18807, 16410, 16582, 16696, 16650, 16476, 18118, 16980, 16604, 16391, 18152, 37240, 18433, 16391, 26198, 16395, 16604, 16385, 26847, 16730, 33323, 16385, 16395, 16604, 16407, 16392, 16604, 16412, 16412, 16604, 16399, 16392, 16604, 16474, 16582, 16581, 16460, 16902, 18954, 16604, 16412, 16604, 16385, 41106, 16398, 19989, 18763, 16385, 16410, 16582, 16581, 16394, 16394, 16453, 31408, 18495, 17282, 37531, 23226, 18807, 16410, 16582, 16696, 16650, 16476, 18118, 16980, 16604, 16391, 18152, 37240, 18433, 16391, 16389, 26198, 16442, 16400, 16444, 16395, 16604, 16385, 17347, 21154, 16385, 16395, 16604, 16405, 16392, 16604, 16412, 16412, 16604, 16399, 16392, 16604, 16474, 16582, 16581, 16460, 16902, 18954, 16604, 16412, 16604, 16385, 32570, 16398, 26455, 18092, 16416, 16385, 16410, 16582, 16581, 16394, 16394, 16453, 31408, 18495, 17282, 37531, 23226, 18807, 16410, 16582, 16696, 16650, 16476, 16582, 16696, 16476, 16582, 16582, 16696, 16398, 16398, 20712, 16641, 17009, 19458, 55128, 16715, 16811, 19458, 16409, 16582, 16696, 28291, 16604, 16412 ]
[ 0, 16396, 16396, 16396, 16582, 38841, 16409, 16604, 16390, 17507, 30645, 21338, 16674, 20705, 20734, 17181, 16641, 18494, 16396, 22744, 28966, 30424, 29755, 16671, 17142, 16738, 23779, 63900, 17035, 16767, 17476, 26809, 16671, 17092, 17970, 16672, 16647, 33187, 36202, 16397, 16875, 17970, 16671, 23467, 16647, 17434, 50099, 16395, 16742, 25929, 16641, 17446, 16396, 18489, 31884, 30194, 24291, 16721, 20634, 16907, 16671, 25217, 16647, 63929, 17415, 63900, 16661, 45751, 16395, 18354, 50136, 19797, 26459, 16674, 22087, 16784, 36436, 28792, 16397, 17119, 17393, 16721, 16641, 24838, 55745, 17717, 16843, 31869, 18443, 16671, 16647, 63900, 16661, 36437, 17717, 16709, 16647, 30424, 16397, 16875, 16647, 44379, 26618, 16395, 16647, 24838, 55745, 17788, 16843, 17027, 19924, 16767, 16647, 31239, 16396, 32047, 45799, 17411, 18443, 16671, 16641, 17743, 19179, 22651, 17873, 21099, 16809, 24003, 29117, 25550, 17415, 16647, 30424, 16674, 16647, 22277, 16397, 16772, 21338, 17788, 17181, 16647, 28966, 30424, 16704, 25628, 16671, 16647, 63900, 16661, 21876, 19777, 16397, 16875, 16647, 44379, 26618, 16395, 16647, 17434, 16843, 17114, 16741, 16641, 29038, 62187, 16397, 16390, 16582, 26371, 16409, 16582, 16396, 27293, 21253, 45911, 16582, 16396, 52968, 22989, 16461, 16702, 17201, 23474, 16582, 23718, 16409, 16604, 16390, 51290, 16396, 32435, 21338, 16674, 20705, 20734, 17181, 18445, 16979, 30218, 16396, 44409, 16768, 30424, 63807, 16390, 16582, 16396, 16396, 16396, 16582, 16582, 16443, 16442, 19810, 16409, 16974, 16689, 16443, 16444, 38194, 16582, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16582, 16582, 49031, 16395, 56529, 16674, 25721, 21338, 30332, 16767, 16647, 26684, 23520, 17384, 16704, 16673, 25573, 22228, 16715, 20010, 33325, 17187, 16832, 16663, 16677, 30259, 39510, 16641, 18166, 60045, 16672, 16647, 21361, 16673, 20117, 32382, 16397, 35906, 20734, 16843, 19947, 19565, 41893, 18331, 16442, 16415, 16454, 31707, 43912, 16446, 16754, 16970, 16720, 17186, 16446, 16401, 16399, 16399, 16405, 16444, 16395, 46334, 17112, 18331, 16442, 16415, 17151, 16446, 17435, 27814, 16784, 17997, 16409, 16446, 16401, 16399, 16400, 16401, 16444, 16674, 57770, 18331, 16442, 16415, 21693, 16717, 16749, 16446, 38465, 16396, 29936, 16446, 16401, 16399, 16399, 16405, 16410, 16604, 16415, 17751, 16473, 22050, 16446, 16467, 16720, 16925, 16446, 16401, 16399, 16400, 16407, 16444, 16397, 16711, 29334, 20715, 16671, 20449, 18123, 17030, 29038, 20734, 16809, 41893, 16704, 21876, 16396, 17435, 27624, 18576, 16658, 16654, 35367, 18331, 16442, 16415, 30538, 38990, 16396, 16801, 29934, 16446, 17435, 27624, 16446, 16401, 16399, 16400, 16403, 16410, 16604, 16415, 16453, 17558, 45783, 16446, 64438, 17981, 16446, 16401, 16399, 16400, 16406, 16444, 16672, 63900, 16661, 39008, 16397, 34153, 16396, 17435, 27624, 18576, 16658, 16654, 35367, 16704, 18138, 16709, 16647, 28536, 16721, 16804, 17097, 16647, 20705, 17788, 23825, 16709, 16647, 21876, 19777, 18325, 16647, 42664, 19565, 16647, 23862, 17768, 17717, 18331, 16442, 16415, 16457, 17040, 17057, 17768, 16446, 65126, 16446, 16400, 16408, 16405, 16401, 16444, 16850, 16721, 17027, 16647, 21338, 17788, 16704, 25628, 16671, 16647, 21876, 19777, 18331, 16442, 16415, 16460, 26266, 16446, 16682, 32392, 16446, 16400, 16408, 16405, 16404, 16410, 16604, 16415, 16460, 26266, 16446, 16682, 32392, 16446, 16400, 16408, 16405, 16405, 16410, 16604, 16415, 16454, 28885, 17392, 16446, 38645, 16396, 32435, 16446, 16400, 16408, 16408, 16406, 16410, 16604, 16415, 16454, 28885, 17392, 16446, 16883, 16460, 55745, 16446, 16400, 16408, 16408, 16406, 16410, 16604, 16415, 16454, 28885, 17392, 16446, 19595, 18163, 16446, 16400, 16408, 16408, 16407, 16410, 16604, 16415, 16473, 49349, 16446, 38645, 16446, 16401, 16399, 16399, 16402, 16410, 16604, 16415, 16473, 49349, 16446, 48982, 16446, 16401, 16399, 16399, 16403, 16444, 16397, 16772, 21876, 16396, 32435, 25346, 16671, 16647, 21338, 17788, 39676, 16815, 17294, 17025, 16469, 16945, 22089, 17187, 16667, 23017, 25324, 19064, 16951, 16676, 16919, 30735, 18568, 16647, 63900, 16661, 24721, 16704, 29418, 16741, 16641, 24526, 19064, 41415, 31239, 16674, 25304, 43123, 16397, 16582, 16582, 39740, 16395, 21876, 16396, 17435, 27624, 21338, 20734, 16672, 63900, 16661, 39008, 16872, 16992, 21852, 59849, 18331, 16442, 16415, 16454, 31707, 43912, 16446, 16457, 17040, 17057, 17768, 16446, 16401, 16399, 16400, 16401, 16444, 16397, 16772, 23384, 16671, 18123, 21338, 43827, 19565, 26683, 22262, 16872, 19684, 16671, 16641, 17679, 16673, 29866, 16715, 21876, 16396, 17435, 27624, 18576, 16658, 16654, 20364, 20988, 17274, 16741, 21338, 60001, 34801, 18331, 16442, 16415, 16454, 31707, 43912, 16446, 38645, 16396, 35988, 16446, 16401, 16399, 16400, 16401, 16410, 16604, 16415, 30538, 38990, 16396, 16801, 29934, 16446, 18742, 16446, 16401, 16399, 16400, 16402, 16444, 16674, 24748, 17297, 17035, 18331, 16442, 16415, 16454, 31707, 43912, 16446, 17435, 27624, 16446, 16401, 16399, 16400, 16402, 16410, 16604, 16415, 19788, 16668, 18933, 16462, 16446, 17435, 27624, 16446, 16401, 16399, 16400, 16405, 16444, 16395, 29038, 28433, 32293, 18331, 16442, 16415, 16454, 31707, 43912, 16446, 16883, 23366, 16446, 16401, 16399, 16400, 16402, 16410, 16604, 16415, 30538, 38990, 16396, 16801, 29934, 16446, 48594, 16446, 16401, 16399, 16400, 16402, 16410, 16604, 16415, 16453, 17558, 45783, 16446, 25825, 16446, 16401, 16399, 16400, 16403, 16410, 16604, 16415, 16453, 17558, 45783, 16446, 28836, 20364, 16446, 16401, 16399, 16400, 16404, 16444, 16395, 63396, 18331, 16442, 16415, 16454, 31707, 43912, 16446, 17491, 44535, 16446, 16401, 16399, 16400, 16403, 16410, 16604, 16415, 16453, 17558, 45783, 16446, 40821, 16446, 16401, 16399, 16400, 16405, 16444, 16395, 39188, 18331, 16442, 16415, 16466, 17201, 23474, 16446, 25538, 16396, 16452, 41840, 16446, 16401, 16399, 16400, 16406, 16444, 16674, 18881, 43353, 18331, 16442, 16415, 16455, 50219, 16446, 38645, 16396, 17435, 27624, 16446, 16401, 16399, 16400, 16407, 16444, 16395, 24838, 34801, 18331, 16442, 16415, 16454, 31707, 43912, 16446, 18029, 38833, 16396, 17407, 30433, 16396, 19338, 16446, 16401, 16399, 16400, 16404, 16410, 16604, 16415, 19788, 16668, 18933, 16462, 16446, 23786, 16396, 32577, 16446, 16401, 16399, 16400, 16407, 16444, 16741, 17204, 16741, 21338, 29553, 18331, 16442, 16415, 20061, 17042, 16454, 41019, 16446, 17224, 16396, 23520, 16747, 17160, 16446, 16401, 16399, 16400, 16405, 16410, 16604, 16415, 36963, 16646, 16446, 18081, 34269, 16446, 16401, 16399, 16400, 16405, 16410, 16604, 16415, 19379, 24548, 16446, 17435, 27624, 16446, 16401, 16399, 16400, 16407, 16444, 16674, 35572, 18619, 18331, 16442, 16415, 42157, 34607, 16446, 25204, 39670, 16446, 16401, 16399, 16400, 16405, 16410, 16604, 16415, 20061, 17042, 16454, 41019, 16446, 16396, 46364, 16446, 16401, 16399, 16400, 16406, 16444, 16397, 50251, 16834, 16395, 21338, 60001, 34801, 18331, 16442, 16415, 16454, 31707, 43912, 16446, 16457, 17040, 17057, 17768, 16446, 16401, 16399, 16400, 16401, 16410, 16604, 16415, 16453, 17558, 45783, 16446, 30276, 23520, 17384, 16446, 16401, 16399, 16400, 16405, 16410, 16604, 16415, 16453, 17558, 45783, 16446, 16399, 16446, 16401, 16399, 16400, 16406, 16444, 16395, 16647, 28966, 56504, 16673, 21338, 18331, 16442, 16415, 30538, 38990, 16396, 16801, 29934, 16446, 44409, 16768, 16446, 16401, 16399, 16400, 16403, 16444, 16395, 29038, 17682, 19919, 18331, 16442, 16415, 30538, 38990, 16396, 16801, 29934, 16446, 18999, 18698, 16446, 16401, 16399, 16400, 16404, 16444, 16674, 16641, 29038, 41135, 18331, 16442, 16415, 30878, 17694, 16456, 16446, 38645, 16396, 16467, 16720, 16925, 16446, 16401, 16399, 16400, 16407, 16444, 16807, 16992, 22951, 16859, 17963, 16397, 36021, 16815, 19056, 21003, 16672, 18576, 16658, 16654, 20364, 16674, 29038, 25994, 18331, 16442, 16415, 18945, 16723, 40335, 16446, 38645, 16396, 16467, 16720, 16925, 16446, 16401, 16399, 16400, 16407, 16444, 16395, 21876, 16396, 17435, 27624, 21338, 20734, 16843, 17027, 21071, 16741, 16641, 32824, 19349, 16721, 20634, 16917, 16395, 16693, 16397, 16454, 16397, 16395, 16671, 31169, 16647, 23731, 16673, 58407, 17294, 17025, 16469, 21011, 19619, 18331, 16442, 16415, 16466, 17201, 23474, 16446, 54281, 20054, 16446, 16401, 16399, 16400, 16405, 16444, 16397, 16582, 16582, 16384, 16442, 16443, 16442, 19327, 16409, 24048, 16443, 16444, 16434, 23978, 17957, 34682, 16673, 17038, 27130, 16397, 16711, 18494, 16396, 22744, 28966, 30424, 16704, 33187, 29755, 16671, 17142, 63900, 16661, 43267, 16767, 26809, 16604, 16387, 16435, 16446, 16443, 17888, 16474, 16427, 16476, 16387, 16674, 16604, 16387, 16435, 16446, 16443, 17888, 16474, 16433, 16476, 16387, 16397, 16444, 16391, 23853, 42541, 16397, 26338, 16392, 16474, 21660, 16412, 16385, 16443, 27253, 21660, 16385, 16476, 16582, 16582, 18473, 17963, 16395, 16647, 30496, 16674, 26182, 22012, 16673, 21876, 16396, 17435, 27624, 21338, 20734, 16872, 16992, 30014, 16671, 19258, 17274, 16741, 33187, 30858, 16674, 17411, 31077, 17187, 16647, 19938, 16673, 25324, 16396, 28836, 17751, 26459, 16843, 16703, 40627, 16397, 19814, 17274, 17280, 22142, 18022, 18930, 16641, 17563, 16673, 19550, 28792, 16395, 16811, 32017, 16647, 18283, 16673, 17072, 50136, 19797, 26459, 16843, 19291, 21876, 16396, 32435, 21338, 43827, 16397, 16875, 16811, 19420, 16395, 16742, 18751, 16811, 17889, 18283, 16809, 37600, 21876, 16396, 17435, 27624, 21338, 16674, 20705, 20734, 17181, 16641, 24838, 16834, 39068, 28448, 20189, 31291, 16673, 16641, 24906, 40192, 18494, 16396, 22744, 28966, 30424, 33187, 29755, 16671, 63900, 16661, 43267, 16395, 57178, 16397, 24502, 16397, 18331, 16443, 16442, 19327, 16409, 24048, 16443, 16444, 16397, 16582, 16582, 29789, 16979, 30218, 16396, 44409, 16768, 30424, 63807, 16807, 19151, 16641, 17563, 16673, 19761, 16395, 17134, 25862, 16397, 18331, 16442, 16415, 17094, 16446, 20544, 18213, 24548, 16446, 22018, 25294, 16446, 16401, 16399, 16400, 16399, 16444, 16674, 18331, 16442, 16415, 30538, 16642, 16396, 16689, 16896, 16462, 16446, 16457, 17040, 17057, 17768, 16446, 16401, 16399, 16400, 16400, 16444, 16715, 18961, 23446, 16709, 25717, 16674, 21193, 16395, 22358, 16397, 16875, 18343, 16395, 16986, 16769, 31054, 16673, 16647, 23862, 17768, 17717, 17181, 28966, 41835, 18331, 16442, 16415, 21329, 16446, 25978, 16446, 26469, 22500, 16446, 16401, 16399, 16399, 16405, 16410, 16604, 16415, 30998, 30674, 16396, 16761, 48239, 16446, 44409, 16768, 16446, 16401, 16399, 16399, 16405, 16410, 16604, 16415, 16457, 18431, 35398, 16446, 47281, 16446, 16401, 16399, 16399, 16406, 16410, 16604, 16415, 16449, 26349, 16446, 26469, 33845, 16661, 16446, 16401, 16399, 16400, 16404, 16410, 16604, 16415, 37912, 19797, 22536, 16446, 16457, 17040, 17057, 17768, 16446, 16401, 16399, 16400, 16405, 16410, 16604, 16415, 17491, 31826, 16446, 27680, 22280, 16446, 16401, 16399, 16400, 16405, 16444, 16395, 19705, 17294, 17025, 16469, 46914, 18331, 16442, 16415, 16677, 23305, 16446, 16472, 18836, 22536, 16446, 16791, 16645, 16795, 16446, 16400, 16408, 16408, 16406, 16410, 16604, 16415, 16449, 19552, 23241, 16668, 16446, 54124, 16446, 16401, 16399, 16399, 16402, 16410, 16604, 16415, 24413, 24793, 16446, 28489, 16446, 16401, 16399, 16399, 16402, 16410, 16604, 16415, 35686, 37281, 16446, 26469, 22500, 16446, 16401, 16399, 16400, 16400, 16410, 16604, 16415, 17018, 18134, 16446, 36452, 16784, 36436, 16446, 16401, 16399, 16400, 16403, 16410, 16604, 16415, 16455, 50219, 16446, 22018, 25294, 16446, 16401, 16399, 16400, 16405, 16444, 16395, 16647, 63929, 17415, 63900, 16661, 45751, 16674, 16647, 16908, 36703, 17717, 18331, 16442, 16415, 16933, 24248, 16446, 29942, 16446, 16401, 16399, 16399, 16399, 16410, 16604, 16415, 16449, 19552, 23241, 16668, 16446, 44409, 16768, 16446, 16401, 16399, 16399, 16401, 16410, 16604, 16415, 16962, 17054, 18017, 16446, 26469, 16979, 30218, 16396, 44409, 16768, 16446, 16401, 16399, 16399, 16402, 16410, 16604, 16415, 16452, 16863, 17976, 16446, 28018, 16396, 23318, 16446, 16401, 16399, 16399, 16406, 16410, 16604, 16415, 16459, 38629, 16446, 16457, 17040, 17057, 17768, 16446, 16401, 16399, 16399, 16406, 16410, 16604, 16415, 16458, 19504, 16676, 16717, 16446, 16457, 17040, 17057, 17768, 16446, 16401, 16399, 16399, 16407, 16444, 16395, 16647, 21661, 16673, 55177, 63900, 16661, 45751, 16672, 28966, 41835, 18331, 16442, 16415, 16466, 17201, 23474, 16446, 16720, 16979, 24403, 16446, 16401, 16399, 16400, 16403, 16410, 16604, 16415, 16458, 17323, 33081, 16446, 43271, 18599, 16446, 16401, 16399, 16400, 16406, 16410, 16604, 16415, 17052, 17110, 16446, 23318, 16396, 34769, 17706, 16467, 16446, 16401, 16399, 16400, 16406, 16410, 16604, 16415, 16455, 50219, 16446, 23318, 16396, 44523, 16446, 16401, 16399, 16400, 16406, 16444, 16395, 27167, 21940, 43530, 18331, 16442, 16415, 16644, 18588, 16446, 16770, 17025, 16469, 16446, 16401, 16399, 16399, 16400, 16410, 16604, 16415, 36963, 16684, 51781, 16446, 17435, 19490, 16446, 16401, 16399, 16399, 16408, 16410, 16604, 16415, 16761, 16465, 23474, 16446, 38290, 16446, 16401, 16399, 16400, 16399, 16410, 16604, 16415, 36963, 16684, 51781, 16446, 42086, 16396, 16449, 21253, 16446, 16401, 16399, 16400, 16400, 16410, 16604, 16415, 43139, 16446, 25538, 16396, 16452, 41840, 16446, 16401, 16399, 16400, 16401, 16410, 16604, 16415, 24031, 16879, 29600, 16446, 54063, 16396, 45052, 16446, 16401, 16399, 16400, 16401, 16444, 16674, 16647, 21661, 16673, 26481, 18599, 54066, 16942, 18331, 16442, 16415, 16677, 32769, 16710, 16446, 17603, 16798, 16446, 16401, 16399, 16400, 16401, 16410, 16604, 16415, 16466, 17201, 23474, 16446, 47057, 16666, 16446, 16401, 16399, 16400, 16402, 16410, 16604, 16415, 17282, 18517, 16446, 52686, 16802, 16446, 16401, 16399, 16400, 16402, 16410, 16604, 16415, 16451, 17594, 16446, 43271, 18599, 16446, 16401, 16399, 16400, 16405, 16444, 16397, 36808, 16460, 55745, 19938, 16672, 18445, 16979, 30218, 16396, 44409, 16768, 30424, 63807, 16807, 16992, 23954, 16672, 16647, 25739, 16673, 50136, 19797, 26459, 18331, 16442, 16415, 16458, 22506, 16658, 16642, 16446, 35690, 16446, 16401, 16399, 16400, 16405, 16444, 16397, 20195, 16395, 16742, 17231, 16641, 18445, 16979, 30218, 16396, 44409, 16768, 30424, 28448, 16741, 16641, 43248, 16671, 26426, 16647 ]
[ 0, 16696, 16772, 65503, 16673, 16647, 25340, 19758, 16673, 39967, 19807, 25608, 16582, 16650, 16979, 39932, 17028, 17015, 16673, 16647, 20834, 16673, 16647, 24130, 16850, 16807, 16992, 21789, 16809, 16582, 16650, 17347, 24130, 16715, 16647, 32280, 16673, 16647, 24223, 16397, 16772, 65503, 17123, 16804, 16703, 16582, 16696, 16450, 17292, 16785, 39605, 19028, 16741, 16873, 16769, 16804, 16647, 18952, 19762, 16673, 16647, 24130, 16397, 16582, 16650, 22164, 58484, 17415, 16647, 19762, 16672, 16647, 25698, 16674, 16672, 16647, 20834, 16582, 16696, 16696, 16650, 17208, 16703, 30432, 16672, 19206, 16673, 16647, 19762, 16672, 16647, 20834, 16397, 16582, 16582, 16582, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16650, 22173, 27078, 31026, 16582, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 32868, 16604, 16407, 16395, 16604, 16401, 16399, 16400, 16407, 16582, 16582, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16401, 16399, 16400, 16407, 23934, 16416, 16400, 16401, 16582, 16582, 19084, 16397, 16604, 16400, 16403, 22153, 16399, 16400, 16403, 16403, 16395, 20528, 16776, 16397, 29788, 16457, 30674, 16604, 17205, 34549, 19782, 16604, 17205, 33515, 23062, 16582, 17205, 46176, 16725, 16604, 17205, 17809, 63539, 20837, 33515, 16983, 16582, 16582, 16696, 16711, 24130, 16673, 16647, 19124, 16673, 35300, 32946, 18515, 16641, 16582, 16582, 62004, 36491, 18421, 20847, 17223, 20035, 16673, 16641, 24667, 16671, 16667, 16582, 16582, 16879, 63539, 20837, 17902, 16673, 42870, 16674, 18515, 16647, 30212, 16763, 16582, 16582, 16682, 24064, 16671, 16647, 20763, 16673, 37990, 16671, 16647, 36491, 22605, 19310, 16582, 16582, 17347, 17085, 16397, 17143, 19603, 16709, 20528, 16776, 16397, 44102, 16395, 16604, 16401, 16399, 16400, 16402, 23593, 16416, 16604, 16406, 16405, 16395, 16604, 16402, 16399, 16404, 16739, 16397, 16402, 16451, 16604, 16403, 16401, 16399, 16395, 16582, 16582, 17347, 24130, 39718, 16721, 19648, 16604, 16400, 16407, 16396, 16400, 16397, 16402, 16396, 16401, 16399, 16401, 16391, 16400, 16392, 16395, 16719, 16397, 16433, 16397, 16434, 16397, 16604, 16401, 16399, 16400, 16406, 16395, 16582, 16582, 28241, 18302, 38626, 22645, 16715, 16647, 17223, 20035, 16673, 16667, 17193, 63539, 20837, 16582, 16582, 52709, 16725, 24667, 16397, 28671, 20528, 16776, 16397, 18401, 16683, 16775, 53481, 16395, 16604, 16401, 16399, 16400, 16405, 23593, 16416, 16604, 16400, 16399, 16405, 16395, 16582, 16582, 16446, 16446, 16446, 16739, 16397, 16402, 16451, 16604, 16446, 16446, 16446, 16604, 16391, 34438, 16397, 24971, 18925, 16397, 16604, 16405, 16395, 16604, 16401, 16399, 16400, 16406, 16392, 16395, 16647, 20987, 18613, 16582, 16582, 16979, 55126, 16721, 16647, 30212, 16704, 25237, 16671, 16647, 20763, 16673, 16582, 16582, 16707, 16806, 17235, 16671, 16647, 31971, 36491, 16397, 16772, 28121, 44700, 39718, 16582, 16584, 21484, 16647, 37990, 16671, 16647, 31971, 36491, 16829, 16804, 20746, 34459, 53176, 16395, 16582, 16582, 16770, 16961, 20821, 34444, 16647, 24667, 16672, 17769, 16397, 16582, 16582, 16696, 27903, 16395, 16647, 24130, 53375, 16647, 30212, 16743, 16466, 19014, 16942, 16582, 16582, 21484, 49835, 16704, 19062, 18443, 16671, 16647, 21459, 19124, 16743, 16466, 36871, 16673, 16582, 16582, 50034, 16396, 16467, 58982, 28413, 26084, 16395, 18909, 18742, 25170, 18446, 16582, 16582, 18888, 18346, 16395, 16674, 29063, 21560, 41998, 16397, 18523, 16395, 16647, 24130, 16582, 16582, 18292, 18376, 16715, 16647, 21459, 19124, 16671, 17190, 23806, 16673, 17551, 26026, 16647, 16582, 16582, 16913, 31032, 16673, 16647, 20079, 16673, 35749, 16397, 16582, 16582, 16696, 40156, 16395, 16647, 24130, 17952, 23415, 16647, 32477, 16395, 17952, 23415, 16647, 16582, 16582, 42909, 16983, 16672, 17015, 16395, 19774, 17099, 16647, 24667, 16672, 17015, 16395, 16674, 17233, 18376, 16647, 16582, 16582, 19827, 16734, 28030, 16397, 16582, 16584, 63118, 19240, 16430, 58088, 16435, 21256, 21337, 23054, 42737, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16650, 16401, 16399, 16400, 16407, 23934, 16416, 16400, 16401, 16582, 16582, 16582, 50558, 16673, 39967, 17933, 16397, 16604, 16400, 16403, 22153, 16399, 16400, 16403, 16403, 16582, 16428, 48214, 19044, 21599, 19758, 17933, 16397, 16604, 16400, 16400, 23965, 16403, 16403, 16406, 16582, 33074, 26281, 60456, 16832, 16397, 21048, 18258, 16395, 27735, 16582, 16582, 16582, 16853, 20528, 16673, 16647, 18490, 16673, 25340, 16395, 16582, 16582, 19733, 19621, 18837, 16396, 20323, 22126, 16452, 16395, 16582, 16582, 16469, 16397, 16582, 16582, 28747, 40164, 29788, 16457, 30674, 16395, 16582, 16582, 21382, 32006, 16396, 20323, 17182, 16795, 16397, 16582, 16582, 16582, 16696, 16696, 16832, 26423, 16422, 27630, 16711, 20840, 20678, 51526, 16395, 16702, 20512, 36952, 16711, 20840, 20678, 51526, 20325, 46785, 21828, 16582, 16696, 16696, 16437, 18513, 33124, 20325, 46785, 16395, 21828, 16719, 28201, 55066, 23849, 18525, 31260, 62617, 32647, 16582, 16582, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16650, 64046, 16687, 16582, 16696, 16696, 16696, 16696, 16696, 16696, 26847, 34611, 16809, 16832, 26423, 25189, 16700, 40477, 26286, 18013, 16582, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 20533, 17392, 16395, 16832, 16397, 16395, 16752, 30583, 16582, 16696, 16696, 16696, 16696, 16421, 16713, 17392, 16395, 16832, 16397, 16395, 16752, 30583, 16672, 17015, 16674, 23206, 16988, 16672, 17015, 16582, 16582, 16696, 16696, 16696, 16696, 16696, 16696, 16650, 31721, 27153, 19557, 16604, 16407, 16395, 16604, 16401, 16399, 16400, 16407, 16582, 16582, 16582, 65099, 44327, 16751, 16397, 61655, 17392, 16395, 27330, 20405, 16395, 23862, 16796, 16397, 57219, 17615, 16395, 29427, 27330, 16582, 28286, 16395, 29654, 16395, 25340, 16395, 16715, 48167, 16396, 20323, 22126, 16452, 16582, 16582, 42593, 22255, 16908, 16397, 25681, 16395, 25340, 18490, 20861, 20900, 18969, 16395, 20288, 16702, 16397, 45119, 16395, 31513, 16582, 21574, 20861, 20900, 18969, 16395, 29654, 16395, 25340, 16395, 16715, 56176, 16396, 20323, 17182, 16795, 16582, 16584, 41952, 16400, 16696, 21382, 32006, 16395, 20513, 40164, 29788, 16457, 30674, 16395, 35300, 16888, 25926, 16673, 16582, 16582, 32477, 23373, 16709, 16641, 28413, 37730, 21311, 17107, 25057, 16673, 16917, 17410, 16582, 16582, 16673, 31971, 16673, 16922, 17032, 16604, 16387, 16401, 16399, 16395, 16399, 16399, 16399, 16674, 16917, 17410, 16673, 22605, 19576, 38247, 16673, 16582, 16582, 16604, 16387, 16401, 16399, 16395, 16399, 16399, 16399, 16785, 16922, 16397, 17046, 17027, 35300, 16888, 24667, 16397, 17119, 39962, 17028, 16582, 16582, 20445, 16715, 63475, 16888, 44447, 16395, 16850, 17233, 16770, 16715, 16647, 21459, 19124, 16671, 16582, 16582, 17190, 23806, 16673, 17551, 21370, 16647, 23405, 16673, 16647, 20079, 16673, 16582, 16582, 35749, 16674, 16671, 16691, 19336, 17940, 16888, 31971, 32477, 16741, 16641, 17568, 16604, 16403, 41077, 16397, 16582, 16582, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16424, 16397, 47377, 16582, 16582, 41952, 16401, 16696, 17071, 16604, 16401, 16399, 16399, 16406, 16395, 29788, 16457, 30674, 19361, 18843, 16641, 17616, 16395, 18045, 17240, 16673, 16647, 16582, 16582, 21800, 19204, 16674, 25241, 17655, 16888, 17304, 18048, 16671, 18648, 16647, 17913, 16397, 16582, 16582, 17046, 18242, 18200, 16891, 16641, 20960, 23009, 16815, 16647, 20978, 16395, 16641, 19694, 16395, 16715, 16582, 16582, 16994, 17131, 16604, 16387, 16401, 16404, 16404, 16395, 16399, 16399, 16399, 16397, 18916, 20960, 16763, 21443, 16709, 16647, 16582, 16582, 18287, 16395, 29788, 16457, 30674, 21817, 18065, 16888, 25288, 23009, 24763, 16397, 16772, 16582, 16582, 19694, 28391, 16671, 17745, 21362, 16647, 23009, 16674, 33024, 49875, 16582, 16582, 30273, 16672, 19118, 16604, 16401, 16399, 16400, 16399, 16397, 16582, 16582, 41952, 16402, 16696, 25379, 16647, 49875, 21451, 16395, 29788, 16457, 30674, 22111, 16785, 25773, 16582, 16582, 19329, 16672, 16647, 18287, 16395, 17789, 24009, 58998, 16395, 21263, 16467, 18983, 16395, 16582, 16582, 26643, 16674, 36196, 25010, 16395, 19783, 45000, 17735, 16674, 21671, 17017, 16395, 60806, 16395, 16582, 16582, 19300, 31665, 16395, 18109, 48435, 16395, 28718, 48435, 16395, 16647, 53716, 16395, 16582, 16582, 17459, 60831, 16395, 16647, 56332, 16395, 16647, 18398, 20249, 16646, 16395, 16674, 16647, 31597, 19783, 16397, 16582, 16582, 16582, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16400, 16582, 16584, 20919, 16673, 16811, 20474, 16395, 16647, 18287, 16763, 16984, 61918, 16767, 16604, 16387, 16400, 16404, 16399, 16395, 16399, 16399, 16399, 16410, 16582, 16582, 18919, 16395, 16647, 16984, 60290, 23381, 16721, 16980, 16647, 18287, 16958, 16672, 17203, 16582, 16582, 25430, 16395, 16728, 16961, 16807, 16992, 18920, 16604, 16387, 16402, 16401, 16399, 16395, 16399, 16399, 16399, 16397, 16582, 16582, 41952, 16403, 16696, 16435, 17011, 16457, 30674, 16763, 23057, 16734, 17358, 16735, 42053, 16641, 30316, 65471, 16395, 31971, 16582, 16582, 16673, 16604, 16387, 16401, 16399, 16395, 16399, 16399, 16399, 16785, 16922, 16395, 16850, 17827, 17032, 16604, 16387, 16400, 16399, 16399, 16395, 16399, 16399, 16399, 16395, 16674, 22605, 19576, 38247, 16582, 16582, 16673, 16604, 16387, 16401, 16399, 16395, 16399, 16399, 16399, 16785, 16922, 16395, 16850, 17827, 17032, 16604, 16387, 16400, 16399, 16399, 16395, 16399, 16399, 16399, 16397, 16772, 28413, 17494, 17107, 16582, 16582, 16804, 25057, 16673, 17358, 16735, 42053, 16641, 30316, 65471, 16674, 25057, 16673, 31971, 16674, 16582, 16582, 22605, 19576, 38247, 16397, 16582, 16582, 41952, 16404, 16696, 18301, 23656, 16395, 29788, 16457, 30674, 32017, 18817, 19014, 16942, 16409, 16604, 16391, 16400, 16392, 16647, 21459, 19124, 16582, 16582, 18195, 16831, 16672, 53239, 21859, 16396, 16467, 58982, 28413, 26084, 16410, 16604, 16391, 16401, 16392, 16647, 21459, 16582, 16582, 19124, 18195, 16831, 16672, 22764, 19591, 16673, 16641, 19421, 49875, 17647, 16582, 16582, 29788, 16457, 30674, 16410, 16604, 16391, 16402, 16392, 29063, 21560, 41998, 17560, 17815, 27560, 16673, 16641, 16582, 16582, 22354, 16674, 25763, 64377, 38987, 21981, 46064, 49835, 16410, 16604, 16391, 16403, 16392, 16647, 16582, 16582, 21459, 19124, 30701, 16667, 23872, 24667, 16673, 17193, 63539, 20837, 42870, 16410, 16582, 16582, 16604, 16391, 16404, 16392, 16647, 21459, 19124, 18195, 16831, 16672, 64544, 16647, 20528, 20079, 16673, 35749, 16410, 16582, 16582, 16674, 16604, 16391, 16405, 16392, 16667, 31278, 16671, 16647, 31971, 36491, 27352, 16671, 16888, 32477, 16397, 16582, 16582, 17119, 39962, 17028, 20445, 16715, 49835, 16734, 18577, 16671, 16647, 17092, 17910, 16582, 16582, 19014, 16942, 16395, 16850, 19884, 16734, 29788, 16457, 30674, 16743, 16466, 18551, 17142, 19014, 16942, 16397, 17119, 16582, 16582, 20821, 34444, 16647, 44447, 16674, 16647, 24667, 16672, 17015, 16850, 19774, 16758, 16582, 16582, 16647, 24667, 16672, 17015, 16674, 17233, 16770, 16734, 28030, 16397, 16582, 16582, 16582, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16401, 16582, 16584, 16696, 16696, 16696, 16696, 16696, 16696, 16650, 19311, 16397, 58062, 20412, 24349, 16582, 16582, 41952, 16405, 16696, 16435, 17011, 16457, 30674, 55101, 16721, 16647, 21459, 19124, 18195, 16831, 16672, 53239, 19001, 16582, 16582, 28413, 26084, 21370, 16888, 21193, 16673, 16647, 17843, 16397, 17119, 27829, 16397, 16582, 16582, 16696, 16696, 16696, 16696, 16696, 16696, 16650, 16711, 16397, 34594, 41228, 16582, 16582, 41952, 16406, 16696, 44552, 21459, 16395, 16647, 21859, 16743, 16466, 21193, 16673, 16647, 17843, 16763, 16721, 16582, 16582, 29788, 16457, 30674, 42479, 16647, 60275, 23505, 16671, 21250, 16647, 23057, 47414, 16582, 16582, 17172, 16733, 22816, 16721, 16647, 19329, 16733, 22111, 16815, 16647, 18287, 16582, 16582, 39331, 16671, 17107, 16397, 16772, 21859, 20903, 18076, 18514, 28413, 26084, 19359, 16582, 16582, 16671, 16811, 21193, 16673, 16647, 17843, 16397, 16582, 16582, 41952, 16407, 16696, 16435, 17011, 16457, 30674, 16743, 16466, 20903, 18076, 28413, 26084, 23435, 19329, 17780, 16582, 16582, 26417, 16397, 17544, 18185, 16395, 16647, 17092, 20903, 18076, 27205, 22039, 16721, 16582, 16582, 16604, 16894, 17347, 17418, 16929, 16872, 20071, 16671, 17446, 19329, 16704, 17363, 16647, 21892, 16673, 16647, 16582, 16582, 19329, 17199, 16980, 16986, 16704, 16641, 63765, 16785, 30316, 17654, 16709, 16647, 19329, 16397, 16900, 16582, 16582, 23638, 20903, 18076, 27205, 21365, 16604, 16894, 23718, 16395, 16900, 16604, 16894, 20922, 16673, 19956, 16395, 16900, 16674, 16582, 16582, 16604, 16894, 26620, 16673, 16641, 27675, 16673, 21593, 16442, 16444, 16397, 16900, 18483, 27205, 20101, 16647, 16582, 16582, 63765, 21193, 23435, 16672, 19648, 16604, 16402, 16407, 16396, 16402, 16404, 16396, 16400, 16400, 16406, 16395, 16719, 16397, 16433, 16397, 16434, 16397, 16604, 16401, 16399, 16400, 16406, 16395, 16674, 17653, 16582, 16582, 40013, 16721, 20071, 16671, 19329, 16604, 16894, 37395, 16804, 36255, 16734, 16647, 63114, 16582, 16582, 18015, 20545, 17897, 17135, 16604, 16442, 16448, 16444, 49875, 21451, 16397, 16900, 16582, 16582, 41952, 16408, 16696, 16853, 21459, 19124, 28391, 16671, 17882, 17213, 26084, 16741, 20903, 18076, 16397, 16582, 16582, 18523, 16395, 32756, 16673, 16647, 21859, 16396, 16467, 58982, 26084, 16958, 16582, 16582, 16582, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16604, 16402, 16582, 16584, 16650, 20486, 16665, 16672, 16641, 18551, 18791, 19297, 28413, 27205, 16397, 16772, 18551, 16582, 16582, 16650, 21714, 24349, 21365, 16604, 16894, 20922, 16673, 19956, 16900, 16674, 22039, 16721, 16647, 20071, 16671, 16582, 16582, 16650, 29447, 16704, 28015, 16671, 16647, 34099, 16673, 16647, 27675, 16673, 21593, 16582, 16582, 16650, 44302, 17897, 17135, 16641, 49875, 21451, 16397, 25916, 16728, 27773, 16977, 16582, 16582, 16650, 16970, 16942, 16673, 16647, 21859, 16396, 16467, 58982, 26084, 16395, 16647, 21459, 19124, 16582, 16582, 16650, 16874, 19993, 21859, 24221, 16671, 25470, 16647, 18707, 21056, 16672, 16647, 16582, 16582, 16650, 21714, 24349, 17560, 25763, 21981, 16397, 16582, 16582, 41952, 16604, 16400, 16399, 16650, 16772, 21859, 17027, 20903, 18076, 16667, 27205 ]
[ 0, 16385, 23754, 16732, 16395, 30125, 16397, 16385, 16604, 16385, 21758, 16397, 16385, 16604, 16385, 23913, 17093, 16395, 37288, 16778, 18565, 16855, 16385, 16604, 16385, 28753, 16970, 16395, 19600, 16395, 30125, 16397, 16385, 16604, 16385, 23754, 16732, 16384, 16385, 16604, 16385, 21260, 46094, 17030, 16815, 18924, 16397, 16385, 16604, 16385, 16424, 16390, 16460, 16667, 18154, 16397, 16385, 16604, 16385, 17409, 16390, 16466, 16641, 17009, 37757, 16397, 16385, 16604, 16385, 17409, 16390, 16466, 16804, 16641, 17238, 17203, 20488, 16397, 16385, 16604, 16385, 16424, 16807, 16641, 17607, 20488, 16397, 16385, 16604, 16385, 18867, 17660, 16390, 16467, 16703, 19865, 16395, 30125, 16397, 16385, 16604, 16385, 18001, 16390, 16690, 17497, 16641, 17369, 35204, 16397, 16385, 16604, 16385, 22719, 16732, 16815, 17348, 16414, 16385, 16604, 16385, 18105, 16704, 16647, 20380, 16673, 16912, 18536, 16671, 16811, 18034, 16395, 30125, 16414, 16385, 16604, 16385, 24794, 16704, 16887, 24950, 16397, 16385, 16604, 16385, 34471, 24950, 16395, 30125, 16397, 16385, 16604, 16385, 23754, 16732, 16397, 16385, 16604, 16385, 18971, 20172, 18630, 16848, 18048, 16811, 16987, 16395, 16859, 16385, 16604, 16385, 16424, 17796, 16687, 16390, 16451, 17659, 17030, 16674, 23268, 17107, 16397, 16385, 16604, 16385, 17611, 18786, 16672, 16647, 20736, 17423, 24285, 19113, 16717, 19694, 16397, 16385, 16604, 16385, 29246, 16778, 18565, 16855, 16397, 16385, 16604, 16385, 19930, 16732, 17039, 17107, 16414, 16385, 16604, 16385, 23913, 21938, 16397, 16385, 16604, 16385, 16422, 25091, 18553, 16806, 16397, 16385, 16604, 16385, 16422, 25091, 18553, 16806, 16397, 16385, 16604, 16385, 26197, 16645, 16395, 42530, 20294, 52840, 16397, 16385, 16604, 16385, 26197, 16645, 16395, 42530, 20294, 52840, 16397, 16385, 16604, 16385, 32749, 17203, 16397, 16385, 16604, 16385, 18621, 19112, 26896, 16397, 16385, 16604, 16385, 18571, 17301, 16868, 16732, 16703, 26340, 16672, 16811, 18034, 16414, 16385, 16604, 16385, 18867, 16390, 16466, 16641, 17238, 17203, 18283, 16397, 16385, 16604, 16385, 21516, 16395, 16687, 17796, 16859, 16395, 17441, 16397, 16385, 16604, 16385, 16424, 16390, 16451, 16945, 16671, 17134, 18531, 16850, 16804, 16807, 17047, 17039, 16687, 16390, 16460, 16641, 30703, 16395, 16732, 17039, 16414, 16385, 16604, 16385, 23465, 17423, 24285, 19113, 16717, 23987, 16721, 16397, 16397, 16397, 16877, 16673, 17038, 18166, 33387, 16395, 16980, 16804, 17038, 18166, 21034, 16395, 16704, 17038, 25627, 16397, 16397, 16397, 16385, 16604, 16385, 19068, 17038, 62835, 16397, 16385, 16604, 16385, 16424, 17137, 16671, 17134, 17187, 16647, 63224, 16763, 16397, 16385, 16604, 16385, 16424, 16390, 16690, 18215, 16647, 18435, 16674, 17073, 24556, 16397, 16385, 16604, 16385, 45112, 16641, 17386, 16397, 16385, 16604, 16385, 16424, 17137, 16671, 17590, 16721, 24309, 16664, 52267, 16397, 16385, 16604, 16385, 16424, 17137, 16671, 17391, 16641, 20639, 16396, 17094, 23684, 17433, 16397, 16385, 16604, 16385, 45112, 16641, 17386, 16397, 16385, 16604, 16385, 23913, 18097, 16395, 48068, 16397, 16385, 16604, 16385, 16424, 17137, 16671, 17134, 16647, 33990, 27325, 16641, 23511, 16397, 16385, 16604, 16385, 16424, 17137, 16671, 16969, 16641, 23394, 17366, 16397, 16385, 16604, 16385, 31057, 16397, 16385, 16604, 16385, 28663, 19105, 16397, 16385, 16604, 16385, 31201, 16671, 20407, 23542, 16395, 18667, 16397, 16778, 18565, 16855, 16397, 16385, 16604, 16385, 22621, 17238, 17240, 16397, 16385, 16604, 16385, 18111, 16728, 16390, 16466, 37288, 16397, 16397, 16397, 16385, 16604, 16385, 26560, 16397, 16385, 16604, 16385, 27503, 19783, 16704, 20635, 16414, 16385, 16604, 16385, 18867, 16917, 16986, 16397, 16385, 16604, 16385, 64376, 25868, 16397, 16385, 16604, 16385, 64376, 25868, 16397, 16385, 16604, 16385, 32202, 16809, 16397, 16385, 16604, 16385, 16853, 21281, 16390, 16466, 16672, 18583, 16397, 16385, 16604, 16385, 31057, 16395, 17158, 16397, 16385, 16604, 16385, 17611, 16390, 16466, 27371, 16397, 16385, 16604, 16385, 17611, 16390, 16466, 27371, 16395, 16859, 16687, 17137, 22460, 16673, 18712, 16395, 19600, 16397, 16385, 16604, 16385, 19089, 31411, 16397, 16385, 16604, 16385, 32202, 16809, 16647, 19592, 16395, 19390, 16397, 16385, 16604, 16385, 18111, 22571, 16397, 16385, 16604, 16385, 18111, 37939, 16903, 16397, 16385, 16604, 16385, 18001, 22869, 25868, 16384, 16385, 16604, 16385, 23844, 16395, 16669, 17988, 16395, 16732, 16390, 16690, 17497, 16671, 17261, 16848, 16384, 16385, 16604, 16385, 36840, 16848, 16641, 19592, 16384, 16385, 16604, 16385, 32613, 16848, 19958, 16384, 16385, 16604, 16385, 36840, 16848, 16641, 19592, 16384, 16385, 16604, 16385, 18001, 16390, 16690, 17497, 16671, 17261, 16848, 16384, 16385, 16604, 16385, 18001, 16843, 17134, 16848, 16672, 16647, 21481, 16384, 16385, 16604, 16385, 18001, 16390, 16690, 17497, 16671, 17261, 16848, 16384, 16385, 16604, 16385, 23915, 16769, 16732, 16709, 16647, 19592, 16671, 16414, 16385, 16604, 16385, 27162, 16673, 16912, 17598, 16397, 16385, 16604, 16385, 23915, 16769, 16732, 19699, 16671, 16414, 16385, 16604, 16385, 24067, 16929, 16728, 16704, 16397, 16385, 16604, 16385, 17409, 16390, 16466, 16912, 20476, 18157, 16397, 16385, 16604, 16385, 21010, 16709, 18157, 16397, 16385, 16604, 16385, 37900, 17107, 16804, 16671, 17966, 16671, 16732, 16945, 16721, 16397, 16385, 16604, 16385, 30572, 16709, 16395, 17659, 16709, 16397, 16385, 16604, 16385, 18105, 16390, 16466, 16647, 18798, 16414, 16385, 16604, 16385, 32572, 17497, 16912, 30726, 16414, 16385, 16604, 16385, 37900, 17107, 16671, 29562, 17021, 16397, 16385, 16604, 16385, 24067, 16395, 16811, 16872, 20254, 18761, 17963, 18010, 16397, 16385, 16604, 16385, 18111, 16414, 16385, 16604, 16385, 16853, 17210, 16732, 16390, 16644, 29400, 16397, 16397, 16397, 16385, 16604, 16385, 20501, 16397, 16385, 16604, 16385, 18105, 16829, 16732, 17039, 16931, 16728, 16414, 16385, 16604, 16385, 17409, 18405, 16390, 16467, 16647, 17210, 16641, 16947, 17208, 37332, 16397, 16397, 16397, 16385, 16604, 16385, 49584, 16928, 16397, 16385, 16604, 16385, 18105, 16687, 16390, 16460, 18884, 16704, 16397, 16397, 16397, 16385, 16604, 16385, 16424, 17121, 16390, 16467, 16945, 17107, 16384, 16385, 16604, 16385, 20574, 16390, 16467, 20755, 16912, 20654, 16384, 16385, 16604, 16385, 17611, 16390, 16466, 17497, 16641, 18908, 29370, 16397, 16385, 16604, 16385, 16423, 22425, 16390, 16467, 16732, 16414, 16385, 16604, 16385, 21010, 16709, 16395, 17921, 17107, 16397, 16385, 16604, 16385, 21516, 16397, 16385, 16604, 16385, 16424, 16390, 16690, 17497, 16641, 18908, 29370, 16672, 39442, 16758, 16397, 16385, 16604, 16385, 36616, 16758, 32986, 16811, 16395, 17177, 16384, 16385, 16604, 16385, 18105, 16390, 16644, 16732, 17395, 16671, 16829, 17178, 16414, 16385, 16604, 16385, 32129, 16647, 20044, 17915, 16384, 16385, 16604, 16385, 32129, 16728, 17285, 16384, 16385, 16604, 16385, 32129, 16728, 17285, 16785, 16742, 16390, 16683, 16807, 16671, 17391, 16732, 16672, 16384, 16385, 16604, 16385, 23915, 18047, 16647, 19117, 16414, 16385, 16604, 16385, 32052, 16728, 16732, 16414, 16385, 16604, 16385, 37422, 16671, 17391, 16848, 16414, 16385, 16604, 16385, 19930, 16732, 16414, 16385, 16604, 16385, 42678, 16986, 16397, 16385, 16604, 16385, 18001, 16390, 16644, 17395, 16671, 16807, 16671, 20857, 16848, 16384, 16385, 16604, 16385, 30572, 16709, 16384, 16385, 16604, 16385, 28249, 19117, 20666, 16397, 16385, 16604, 16385, 19537, 16994, 17939, 16647, 18843, 16674, 16769, 26737, 19863, 16732, 16397, 16385, 16604, 16385, 16424, 16868, 17482, 16767, 16641, 63099, 21424, 16397, 16385, 16604, 16385, 32202, 16809, 16395, 16947, 16734, 20733, 16397, 16385, 16604, 16385, 51613, 18883, 19341, 16397, 16385, 16604, 16385, 52502, 19929, 16390, 16467, 23139, 16397, 16397, 16397, 19840, 23827, 16769, 16647, 21952, 18285, 16672, 16385, 16604, 16385, 35826, 16390, 16466, 28810, 28595, 18019, 16409, 16385, 16604, 16385, 16853, 32103, 16673, 20851, 16397, 16385, 16604, 16385, 18377, 16769, 17446, 24058, 16395, 17446, 24114, 16397, 16385, 16604, 16385, 17991, 16732, 16390, 16690, 17497, 16641, 18870, 16673, 25658, 16395, 16732, 16843, 16703, 16641, 17446, 19830, 16715, 16641, 18097, 16397, 16385, 16604, 16385, 18001, 17121, 16390, 16467, 17199, 16807, 16671, 18212, 20329, 16397, 16385, 16604, 16385, 19132, 17261, 16815, 16912, 22104, 26591, 16395, 16732, 56509, 17146, 16741, 16732, 16854, 18184, 16397, 16385, 16604, 16385, 20965, 18166, 21034, 16704, 62835, 16397, 16385, 16604, 16385, 18971, 18056, 16395, 16721, 16843, 16390, 16467, 16703, 17007, 16397, 16385, 16604, 16385, 24694, 31676, 16395, 16647, 19783, 16395, 16647, 19783, 16397, 16385, 16604, 16385, 16424, 23951, 16991, 16922, 53677, 16397, 16385, 16604, 16385, 16424, 17607, 16854, 16397, 16385, 16604, 16385, 20965, 18166, 21034, 16704, 25627, 16397, 16385, 16604, 16385, 20965, 18166, 21034, 16704, 62835, 16397, 16385, 16604, 16385, 17507, 16390, 16690, 17497, 17038, 26782, 16672, 17259, 61888, 16397, 16385, 16604, 16385, 16434, 16656, 16384, 16385, 16604, 16385, 20201, 16390, 16466, 16807, 16641, 32938, 16397, 16385, 16604, 16385, 24067, 16767, 16732, 16397, 16385, 16604, 16385, 18001, 16390, 16644, 16641, 22389, 17687, 27781, 16396, 48272, 16397, 16385, 16604, 16385, 16424, 17796, 16733, 16955, 16667, 16903, 54121, 19616, 25398, 16397, 16385, 16604, 16385, 16424, 16390, 16460, 24356, 16397, 16778, 18565, 16855, 16397, 16385, 16604, 16385, 21356, 16687, 17261, 16732, 16414, 16385, 16604, 16385, 18001, 16390, 16644, 31037, 16414, 16385, 16604, 16385, 16424, 16390, 16460, 24356, 16397, 16778, 18565, 16855, 16674, 16811, 16704, 17038, 50568, 16397, 16385, 16604, 16385, 19068, 16721, 53677, 16414, 16385, 16604, 16385, 19084, 16395, 16728, 16390, 16466, 16991, 39809, 16674, 41462, 16674, 16641, 17589, 30258, 16673, 38634, 16397, 16385, 16604, 16385, 21519, 16395, 16887, 18056, 16384, 16385, 16604, 16385, 16424, 17039, 16811, 19475, 16397, 16385, 16604, 16385, 24067, 16767, 16732, 16384, 16385, 16604, 16385, 24067, 16767, 16732, 16397, 16385, 16604, 16385, 18001, 16390, 16644, 17363, 16647, 31017, 20172, 16395, 20677, 18056, 16397, 16385, 16604, 16385, 61265, 16395, 16811, 16704, 16887, 20172, 16395, 37288, 16397, 16385, 16604, 16385, 31596, 16397, 16385, 16604, 16385, 64894, 17228, 16671, 18053, 16732, 16397, 16385, 16604, 16385, 31669, 16671, 37936, 16732, 16397, 16385, 16604, 16385, 18105, 16390, 16644, 16732, 18045, 17348, 16414, 16385, 16604, 16385, 24794, 16390, 16466, 16887, 24950, 16397, 16385, 16604, 16385, 16424, 17796, 16732, 17699, 16804, 19210, 16397, 16397, 16397, 16909, 16687, 18112, 17030, 16671, 16969, 16887, 25268, 17348, 16397, 16385, 16604, 16385, 18571, 26320, 16397, 16385, 16604, 16385, 20811, 17653, 17617, 16715, 23423, 16397, 16385, 16604, 16385, 26445, 18479, 16397, 16385, 16604, 16385, 19084, 16395, 17028, 16395, 18216, 18479, 16397, 16385, 16604, 16385, 16438, 16834, 16843, 16390, 16467, 16703, 17348, 24605, 16397, 16385, 16604, 16385, 21127, 16414, 16385, 16604, 16385, 17611, 18633, 17238, 22389, 16397, 16385, 16604, 16385, 17611, 16704, 22389, 16397, 16385, 16604, 16385, 26042, 16395, 16850, 16397, 16397, 16397, 16414, 16385, 16604, 16385, 17611, 16390, 16466, 16804, 16647, 17936, 16673, 19475, 16732, 21199, 17065, 16641, 28670, 17598, 23423, 16397, 16385, 16604, 16385, 19132, 16762, 16834, 16395, 16732, 17109, 16641, 18870, 16673, 28965, 16397, 16385, 16604, 16385, 18111, 16742, 16807, 36732, 18767, 16715, 23423, 16397, 16385, 16604, 16385, 58090, 16397, 16385, 16604, 16385, 29605, 16395, 16873, 17699, 17393, 17107, 19550, 16395, 17255, 16672, 16647, 18435, 18797, 16397, 16385, 16604, 16385, 17409, 16390, 16466, 16804, 20001, 16647, 18435, 18797, 16397, 16385, 16604, 16385, 17409, 16704, 16674, 16728, 18405, 16390, 16467, 16397, 16385, 16604, 16385, 17409, 16704, 16397, 16385, 16604, 16385, 16424, 16390, 16460, 16734, 28705, 45614, 16672, 19390, 58796, 16397, 16385, 16604, 16385, 18473, 16732, 16390, 16644, 16804, 16641, 26287, 16397, 16385, 16604, 16385, 19659, 20001, 16397, 16385, 16604, 16385, 19659, 16767, 16858, 16395, 17324, 16397, 16385, 16604, 16385, 17409, 16390, 16466, 16994, 17536, 16687, 17335, 16397, 16385, 16604, 16385, 17507, 16858, 17335, 16728, 16397, 16385, 16604, 16385, 17409, 16390, 16466, 17536, 16687, 17335, 16397, 16385, 16604, 16385, 16416, 25418, 16397, 16385, 16604, 16385, 17507, 16390, 16683, 16994, 16969, 21389, 16673, 16732, 16715, 16647, 18097, 16397, 16385, 16604, 16385, 19084, 16395, 16742, 17660, 16390, 16467, 16397, 16385, 16604, 16385, 19659, 24605, 16397, 16385, 16604, 16385, 17409, 16390, 16466, 16888, 24950, 16397, 16385, 16604, 16385, 19801, 21389, 16673, 17107, 16395, 17178, 16397, 16385, 16604, 16385, 18105, 16961, 16733, 16945, 16414, 16385, 16604, 16385, 22212, 18256, 16785, 16641, 23489, 16414, 16385, 16604, 16385, 17611, 24250, 16728, 16858, 16397, 16385, 16604, 16385, 17611, 18612, 16671, 16703, 16667, 24471, 16397, 16385, 16604, 16385, 17611, 17497, 16647, 17474, 16672, 17038, 17362, 17613, 17156, 16395, 16850, 16709, 20994, 18097, 16733, 16397, 16397, 16397, 16385, 16604, 16385, 16424, 17579, 17796, 27266, 17120, 21739, 16859, 17240, 16859, 19535, 17714, 16641, 24256, 16671, 16647, 17693, 16397, 16385, 16604, 16385, 52277, 16395, 17177, 16811, 17660, 16390, 16467, 16985, 16397, 16385, 16604, 16385, 16853, 17105, 16673, 20851, 16397, 16385, 16604, 16385, 17409, 16390, 16466, 16709, 19660, 17178, 16397, 16385, 16604, 16385, 19494, 16673, 17310, 21586, 16396, 58077, 16725, 17578, 16397, 16385, 16604, 16385, 19084, 16395, 16721, 20856, 17324, 39805, 16397, 16385, 16604, 16385, 16431, 16798, 16397, 16385, 16604, 16385, 17409, 16390, 16466, 17567, 16674, 16641, 18519, 18626, 17301, 16397, 16385, 16604, 16385, 17409, 20856, 17324, 39805, 16397, 16385, 16604, 16385, 17635, 16704, 19706, 16397, 16385, 16604, 16385, 17635, 16704, 28595, 18247, 16397, 16385, 16604, 16385, 17635, 16704, 16647, 46772, 25124, 16672, 19243, 16397, 16385, 16604, 16385, 16424, 17660, 16390, 16467, 16807, 16671, 16854, 16709, 20041, 16395, 16868, 16687, 16414, 16385, 16604, 16385, 19537, 17322, 16732, 16395, 17921, 16732, 16929, 16732, 16769, 16395, 17187, 16671, 16854, 16674, 17261, 17190, 16903, 16647, 17745, 16397, 16385, 16604, 16385, 18377, 16390, 16466, 18530, 17199, 16671, 21739, 16397, 16385, 16604, 16385, 21356, 16687, 17134, 16647, 20373, 16414 ]
[ 0, 16400, 16397, 16397, 35453, 16604, 16474, 16386, 16466, 16400, 16476, 16582, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16582, 16582, 24537, 17784, 34793, 16807, 54515, 18206, 28591, 17199, 17329, 22322, 18496, 16397, 22821, 16395, 16728, 16704, 23381, 16721, 27043, 16917, 16396, 37316, 16673, 16647, 18546, 16604, 16402, 19852, 17047, 16929, 18209, 16709, 17827, 17032, 16604, 16401, 32069, 16972, 17386, 16672, 21625, 23349, 16673, 17242, 16396, 61828, 20952, 16395, 22852, 16674, 16647, 40809, 16769, 30006, 16734, 16917, 16785, 16922, 20969, 16673, 24712, 17784, 34793, 16604, 16443, 16442, 16442, 16415, 23610, 25488, 16400, 16406, 16399, 16399, 16402, 16400, 16418, 16400, 16444, 16443, 16444, 16395, 43749, 17160, 26158, 16395, 22221, 56099, 16674, 45935, 31432, 16741, 17204, 16741, 24500, 34434, 16672, 16647, 19902, 16674, 26479, 18356, 16673, 38708, 16604, 16443, 16442, 16442, 16415, 23610, 25488, 16400, 16406, 16399, 16399, 16402, 16400, 16418, 16401, 16444, 16443, 16444, 16395, 16647, 17154, 40905, 19971, 16397, 16772, 17154, 18545, 18206, 24712, 17784, 16757, 16456, 17779, 23006, 24493, 16734, 47099, 24712, 17784, 34793, 16395, 17274, 16741, 29154, 17318, 31071, 16395, 16937, 16863, 16713, 48937, 16674, 25153, 42460, 16466, 16395, 20440, 16809, 19587, 16771, 16786, 16680, 48937, 16397, 26367, 16395, 24712, 17784, 16757, 29160, 18658, 16641, 18650, 19799, 16674, 17730, 27422, 16671, 16647, 19364, 16792, 24276, 16795, 41276, 18797, 16395, 24500, 19770, 26221, 16672, 24309, 16674, 24949, 19378, 16397, 20099, 16395, 23526, 16672, 16641, 17362, 30174, 18960, 16674, 16647, 31972, 17231, 16673, 16667, 17347, 40088, 16974, 16675, 27204, 16604, 16443, 16442, 16442, 16415, 23610, 25488, 16400, 16406, 16399, 16399, 16402, 16400, 16418, 16402, 16444, 16395, 16442, 16415, 23610, 25488, 16400, 16406, 16399, 16399, 16402, 16400, 16418, 16403, 16444, 16443, 16444, 16395, 16914, 29151, 16872, 16992, 41494, 16672, 17259, 40760, 19147, 18443, 16671, 20299, 23759, 16604, 16443, 16442, 16442, 16415, 23610, 25488, 16400, 16406, 16399, 16399, 16402, 16400, 16418, 16404, 16444, 16443, 16444, 16397, 23121, 16395, 16986, 16704, 16667, 34781, 17109, 16671, 17460, 17009, 22021, 16671, 18123, 24712, 17784, 16757, 29160, 16395, 17274, 16741, 58391, 16604, 16443, 16442, 16442, 16415, 23610, 25488, 16400, 16406, 16399, 16399, 16402, 16400, 16418, 16405, 16444, 16396, 16396, 16442, 16415, 23610, 25488, 16400, 16406, 16399, 16399, 16402, 16400, 16418, 16407, 16444, 16443, 16444, 16397, 17119, 16807, 21216, 25402, 16721, 16647, 53215, 19599, 16673, 16647, 36533, 17451, 16856, 16398, 16757, 57477, 16856, 27689, 16649, 16954, 16604, 16401, 16416, 16604, 16391, 26234, 16401, 16416, 16392, 16395, 16944, 16704, 20349, 51409, 18493, 16641, 18122, 17679, 16673, 32495, 16649, 17197, 20969, 16604, 16443, 16442, 16442, 16415, 23610, 25488, 16400, 16406, 16399, 16399, 16402, 16400, 16418, 16408, 16444, 16443, 16444, 16395, 16704, 23557, 16673, 59129, 28121, 19415, 16673, 21747, 17647, 29160, 16809, 24366, 33886, 44934, 32495, 16649, 19919, 17014, 32533, 16809, 16647, 46044, 63044, 22955, 16395, 22365, 17371, 19284, 16676, 16834, 16395, 16672, 25878, 16674, 39732, 17735, 16397, 16582, 16582, 16428, 17495, 63044, 37415, 25290, 16667, 47582, 19278, 16673, 22539, 16673, 48191, 16674, 40769, 37415, 16604, 16443, 16442, 16442, 16415, 23610, 25488, 16400, 16406, 16399, 16399, 16402, 16400, 16418, 16400, 16399, 16444, 16443, 16444, 16721, 17114, 31525, 16673, 16647, 37413, 26709, 19208, 16604, 16443, 16442, 16442, 16415, 23610, 25488, 16400, 16406, 16399, 16399, 16402, 16400, 16418, 16400, 16400, 16444, 16443, 16444, 16397, 16875, 16647, 46044, 23091, 16395, 16647, 51211, 17000, 17190, 19047, 16734, 16647, 18070, 26709, 17434, 17490, 16809, 44981, 16396, 35624, 16661, 19487, 16604, 16391, 18987, 16418, 16392, 16741, 17204, 16741, 16604, 16390, 27044, 20338, 29036, 19487, 16390, 16604, 16391, 16428, 16392, 16721, 16769, 17361, 18336, 16895, 16672, 16647, 46044, 23091, 16734, 39973, 19369, 16673, 46044, 23091, 16396, 41792, 31136, 17819, 24588, 16604, 16391, 16428, 54788, 16392, 16672, 24426, 16734, 18718, 21673, 16443, 16390, 16466, 38984, 16604, 16391, 16431, 22776, 16392, 16397, 16727, 17495, 23091, 24669, 17490, 16647, 26566, 16745, 16716, 16765, 16802, 16674, 16647, 61479, 18511, 17541, 34472, 16395, 21139, 24345, 16641, 18321, 26709, 17434, 16395, 16741, 16811, 46044, 23091, 16704, 16647, 21314, 31133, 16673, 18546, 16604, 16408, 16399, 16388, 16673, 29160, 16672, 41461, 17639, 17099, 16397, 26274, 17255, 37435, 16680, 17587, 21681, 16395, 46044, 23091, 24046, 51672, 34220, 16410, 16715, 18185, 16395, 17371, 19284, 16676, 16666, 24813, 17873, 28356, 17099, 16700, 16785, 16738, 19487, 16671, 20023, 16672, 16647, 47099, 16785, 16647, 61479, 18511, 17541, 46044, 23091, 16604, 16443, 16442, 16442, 16415, 23610, 25488, 16400, 16406, 16399, 16399, 16402, 16400, 16418, 16400, 16401, 16444, 16443, 16444, 16395, 20781, 17255, 16667, 21963, 16671, 17371, 19448, 35377, 17260, 16395, 17371, 20759, 57493, 16785, 17242, 59501, 36543, 16397, 16582, 16582, 50124, 16815, 16647, 21419, 22955, 16395, 16647, 36942, 16673, 16647, 26709, 19208, 23825, 16709, 16647, 51557, 16673, 16667, 21286, 16911, 22209, 19959, 16721, 40856, 16647, 48191, 19208, 16674, 16704, 23557, 16673, 25376, 17160, 16647, 23052, 16815, 16667, 48191, 19208, 16671, 16667, 40769, 19208, 16397, 19214, 23446, 16709, 16647, 17231, 16673, 16911, 22209, 16469, 17575, 16672, 16647, 24813, 17873, 17181, 46044, 23091, 16807, 19193, 16992, 19807, 16604, 16443, 16442, 16442, 16415, 23610, 25488, 16400, 16406, 16399, 16399, 16402, 16400, 16418, 16400, 16401, 16444, 16396, 16396, 16442, 16415, 23610, 25488, 16400, 16406, 16399, 16399, 16402, 16400, 16418, 16400, 16407, 16444, 16443, 16444, 16397, 19139, 16647, 17231, 16673, 16641, 25069, 16979, 44836, 16725, 33317, 16395, 16641, 17679, 16673, 52948, 26513, 16395, 17789, 56951, 19405, 16642, 16604, 16391, 46730, 16392, 16395, 19332, 16928, 50746, 16604, 16393, 16450, 16393, 16395, 16700, 21148, 16751, 17035, 23676, 29921, 34756, 50742, 16674, 26214, 16396, 16400, 16695, 16463, 16400, 16401, 16399, 16395, 16807, 16992, 24937, 16671, 21541, 18889, 16675, 22363, 19565, 16647, 16604, 16517, 16633, 16396, 27957, 19318, 16673, 46803, 16856, 16604, 16443, 16442, 16442, 16415, 23610, 25488, 16400, 16406, 16399, 16399, 16402, 16400, 16418, 16400, 16408, 16444, 16443, 16444, 16397, 16772, 17092, 16985, 16672, 16944, 29981, 17636, 16849, 18302, 16958, 17405, 16741, 16911, 22209, 16469, 17575, 16958, 20888, 16809, 27822, 16463, 16604, 16443, 16442, 16442, 16415, 23610, 25488, 16400, 16406, 16399, 16399, 16402, 16400, 16418, 16401, 16399, 16444, 16443, 16444, 16397, 20735, 22900, 16604, 16443, 16442, 16442, 16415, 23610, 25488, 16400, 16406, 16399, 16399, 16402, 16400, 16418, 16401, 16400, 16444, 16395, 16442, 16415, 23610, 25488, 16400, 16406, 16399, 16399, 16402, 16400, 16418, 16401, 16401, 16444, 16443, 16444, 17494, 16721, 16641, 29981, 17636, 16849, 16870, 16673, 45144, 34333, 16641, 59555, 43542, 21305, 16407, 16394, 16700, 31136, 43283, 16604, 16391, 20091, 16427, 16392, 19208, 16397, 17170, 21311, 63271, 39219, 16647, 19056, 17231, 16673, 29981, 18145, 21011, 16671, 53003, 16741, 33357, 16604, 16443, 16442, 16442, 16415, 23610, 25488, 16400, 16406, 16399, 16399, 16402, 16400, 16418, 16401, 16402, 16444, 16443, 16444, 16397, 17828, 44836, 16895, 53003, 16734, 20908, 16666, 18889, 17456, 16459, 16396, 16393, 16434, 16393, 16396, 41160, 29965, 37370, 50799, 16642, 18161, 16396, 16466, 17850, 16459, 16396, 18752, 16856, 16604, 16391, 16431, 16402, 50760, 16392, 29983, 16641, 27789, 16427, 19208, 18655, 16671, 16721, 24086, 17014, 18209, 33357, 16769, 17405, 16604, 16443, 16442, 16442, 16415, 23610, 25488, 16400, 16406, 16399, 16399, 16402, 16400, 16418, 16401, 16403, 16444, 16395, 16442, 16415, 23610, 25488, 16400, 16406, 16399, 16399, 16402, 16400, 16418, 16401, 16404, 16444, 16443, 16444, 16397, 16582, 16582, 17635, 18077, 22076, 16647, 19629, 16673, 58549, 38721, 16401, 16416, 59043, 16815, 16647, 33886, 44934, 32495, 16649, 17197, 16604, 16393, 25264, 16456, 16837, 31925, 18161, 16730, 17985, 16668, 16675, 36200, 16393, 16671, 37820, 19532, 16396, 24861, 16802, 26709, 24739, 17647, 16641, 20929, 16604, 16393, 18944, 16863, 16713, 16656, 20643, 16656, 16393, 24493, 16672, 25878, 17014, 16647, 59043, 16704, 32533, 17371, 19284, 16676, 16834, 16674, 16704, 49978, 16741, 16641, 16897, 21530, 16979, 44836, 16758, 16734, 40584, 16675, 16396, 22141, 18161, 34730, 16877, 16604, 16391, 20551, 16434, 16392, 16397, 28992, 26157, 16721, 16811, 40908, 50395, 16641, 18354, 31769, 37415, 16672, 16647, 30006, 16674, 40461, 21617, 16397, 16772, 22355, 17390, 35129, 16673, 16647, 47099, 54511, 16672, 16647, 38721, 16401, 16416, 16396, 20551, 16434, 40461, 21617, 16763, 17494, 16671, 16703, 19970, 16734, 16647, 17362, 19378, 16673, 27021, 16396, 16408, 16672, 16647, 16739, 22776, 16397, 16582, 16582, 16401, 16397, 16397, 28992, 16604, 16474, 16386, 16466, 16401, 16476, 16582, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16582, 16582, 16401, 16397, 16400, 16397, 16397, 26458, 38505, 16673, 16647, 40584, 16675, 16396, 22141, 18161, 34730, 16877, 16604, 16474, 16386, 16466, 16401, 16448, 16476, 16582, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16582, 16582, 16853, 40584, 16675, 22363, 16763, 31276, 17065, 16647, 39030, 34730, 16877, 26096, 16758, 16741, 20101, 16809, 61612, 16396, 30260, 20544, 16698, 16786, 16604, 16393, 16688, 16813, 16393, 16397, 16604, 16443, 16442, 16442, 16415, 23610, 25488, 16400, 16406, 16399, 16399, 16402, 16400, 16418, 16401, 16405, 16444, 16443, 16444, 16395, 16672, 16647, 17567, 21399, 37093, 16672, 16604, 16442, 24611, 18331, 16400, 16444, 16391, 16386, 23610, 25488, 16400, 16406, 16399, 16399, 16402, 16400, 16421, 16400, 16392, 16474, 18452, 16396, 18926, 16412, 16385, 19327, 16385, 16476, 16397, 18851, 16889, 16604, 16391, 16408, 16441, 16392, 16396, 16393, 16429, 16393, 16396, 16443, 16442, 16401, 16396, 16391, 16688, 38134, 63893, 16645, 18161, 16392, 17078, 32917, 16443, 16444, 16396, 24648, 16443, 16444, 16396, 16408, 16396, 47076, 17077, 43316, 41968, 16763, 21715, 16741, 16641, 21173, 16604, 16391, 16401, 16406, 16408, 26785, 16395, 16604, 16407, 16400, 16388, 16392, 16397, 16727, 16397, 16739, 16397, 16604, 16405, 16400, 16396, 16396, 16405, 16401, 21896, 16418, 16410, 16686, 22323, 16391, 34922, 16392, 27844, 16445, 25296, 16400, 16445, 16409, 16604, 16402, 16399, 16405, 16401, 16395, 16604, 16401, 16408, 16400, 16404, 16395, 16604, 16401, 16407, 16403, 16406, 16395, 16604, 16400, 16403, 16405, 16401, 16395, 16604, 16400, 16401, 16407, 16403, 16395, 16604, 16400, 16400, 16401, 16403, 16395, 16604, 16408, 16399, 16407, 16674, 16604, 16406, 16402, 16399, 16410, 16604, 16445, 16400, 16445, 16423, 16396, 16429, 26533, 16391, 22942, 18747, 16477, 16402, 16477, 16395, 16604, 16403, 16399, 16399, 49338, 16392, 16409, 16670, 16604, 16405, 16397, 16405, 16401, 16604, 16391, 18562, 16395, 16604, 16400, 16423, 16395, 16604, 16393, 16425, 16393, 16604, 16412, 16604, 16400, 16405, 16397, 16405, 16674, 16604, 16408, 16397, 16407, 44268, 16395, 23605, 16412, 16392, 16395, 16604, 16405, 16397, 16403, 16402, 16604, 16391, 16451, 16395, 16604, 16400, 16423, 16395, 16604, 16393, 16425, 16393, 16604, 16412, 16604, 16400, 16405, 16397, 16405, 44268, 16395, 16604, 16412, 20260, 16477, 16401, 16477, 16393, 21527, 16393, 16392, 16395, 16604, 16405, 16397, 16400, 16404, 16604, 16391, 16451, 16395, 16604, 16400, 16423, 16395, 16604, 16393, 16425, 16393, 16604, 16412, 16604, 16408, 16397, 16407, 44268, 16395, 16604, 16412, 20260, 16477, 16401, 16477, 16393, 64302, 16393, 16392, 16395, 16604, 16401, 16397, 16408, 16405, 16604, 16391, 16467, 16395, 16604, 16401, 16423, 16395, 16604, 16393, 16425, 16393, 16604, 16412, 16604, 16407, 16397, 16399, 44268, 16392, 16395, 16604, 16400, 16397, 16406, 16406, 16604, 16391, 16460, 16395, 16604, 16401, 16423, 16392, 16395, 16604, 16400, 16397, 16403, 16405, 16396, 16396, 16400, 16397, 16401, 16399, 16604, 16391, 16460, 16395, 16604, 16402, 16399, 16423, 16392, 16395, 16604, 16399, 16397, 16407, 16407, 16604, 16391, 16467, 16395, 16604, 16402, 16423, 16395, 16604, 16393, 16425, 16393, 16604, 16412, 16604, 16405, 16397, 16406, 44268, 16392, 16410, 16604, 16445, 16400, 16402, 16445, 16418, 16396, 16429, 26533, 16604, 16391, 22942, 18747, 16477, 16402, 16477, 16395, 16604, 16400, 16399, 16399, 49338, 16392, 16409, 16670, 16604, 16400, 16402, 16405, 16397, 16402, 16395, 16604, 16400, 16402, 16399, 16397, 16403, 16395, 16604, 16404, 16403, 16397, 16403, 16395, 16604, 16402, 16401, 16397, 16399, 16395, 16604, 16401, 16408, 16397, 16407, 16395, 16604, 16401, 16408, 16397, 16406, 16395, 16604, 16401, 16408, 16397, 16406, 16395, 16604, 16401, 16408, 16397, 16406, 16395, 16604, 16401, 16408, 16397, 16405, 16395, 16604, 16401, 16408, 16397, 16403, 16395, 16604, 16401, 16408, 16397, 16402, 16395, 16604, 16401, 16408, 16397, 16400, 16395, 16604, 16401, 16407, 16397, 16404, 16395, 16604, 16401, 16401, 16397, 16407, 16395, 16604, 16401, 16401, 16397, 16403, 16395, 16604, 16400, 16403, 16397, 16401, 16397, 28516, 21332, 16604, 16391, 16393, 16460, 16393, 16398, 16393, 16473, 16393, 16392, 16604, 16391, 16421, 20709, 16394, 16392, 18576, 22350, 16397, 16715, 16719, 16477, 16401, 16399, 16477, 16423, 16477, 16403, 16399, 16477, 16430, 16477, 16401, 16477, 30348, 16448, 16604, 16443, 16442, 16428, 16604, 16394, 24876, 16443, 16444, 16445, 16394, 16445, 16409, 16604, 16402, 16405, 16406, 16397, 16401, 16405, 16403, 16406, 16410, 17494, 16409, 16604, 16402, 16405, 16406, 16397, 16401, 16405, 16403, 16403, 16397, 25173, 16604, 16400, 16397, 17506, 17070, 54206, 43940, 16604, 16391, 16465, 26234, 16401, 16416, 16392, 16395, 40584, 16675, 16396, 22141, 18161, 34730, 16877, 16604, 16391, 20551, 16434, 16392, 16674, 29981, 17636, 16849, 16870, 16604, 16391, 16465, 26234 ]
[ 0, 16411, 16414, 27702, 19288, 16412, 16390, 16400, 16397, 16399, 16390, 16414, 16413, 16582, 16411, 16471, 21196, 16409, 43274, 39832, 41470, 21918, 16409, 16471, 21196, 16412, 16385, 19020, 16409, 16398, 16398, 18409, 16397, 16470, 16402, 16397, 18431, 16398, 16400, 16408, 16408, 16408, 16398, 16439, 26877, 16398, 42325, 16385, 16582, 16696, 16696, 16696, 16696, 27702, 21918, 16409, 19564, 16412, 16385, 19020, 16409, 16398, 16398, 18409, 16397, 16470, 16402, 16397, 18431, 16398, 16400, 16408, 16408, 16408, 16398, 16439, 26877, 16398, 27849, 16385, 16582, 16696, 16696, 16696, 16696, 27702, 21918, 16409, 17345, 21196, 16412, 16385, 19020, 16409, 16398, 16398, 17345, 21196, 16467, 16397, 18431, 16398, 26674, 16385, 16582, 16696, 16696, 16696, 16696, 17345, 39485, 16396, 22380, 16396, 38397, 16659, 16412, 16385, 17345, 21196, 16385, 16582, 16696, 16696, 16696, 16696, 24219, 16412, 16390, 16400, 16397, 16399, 16390, 16413, 16582, 16582, 16411, 16384, 16396, 16396, 16604, 16393, 16393, 16393, 16393, 16393, 16393, 16393, 16393, 16393, 16393, 16393, 16393, 16393, 16393, 16393, 16393, 16393, 16393, 16393, 16393, 16393, 16393, 16393, 16393, 16393, 16393, 16393, 16393, 16393, 16393, 16393, 16393, 16393, 16393, 16393, 16393, 16393, 16393, 16393, 16393, 16393, 16393, 16393, 16393, 16393, 16393, 16393, 16393, 16393, 16393, 16393, 16393, 16393, 16393, 16393, 16393, 16393, 16393, 16393, 16393, 16393, 16393, 16393, 16393, 16393, 16393, 16393, 16393, 16582, 16696, 16604, 16387, 19157, 16409, 18509, 18452, 16397, 16471, 21196, 16395, 16469, 16604, 16400, 16397, 16400, 16604, 16401, 16399, 16399, 16404, 16398, 16399, 16407, 16398, 16401, 16407, 16604, 16399, 16399, 16409, 16402, 16404, 16409, 16399, 16404, 54593, 28878, 26679, 16604, 16387, 16582, 16696, 16604, 16393, 16393, 16393, 16393, 16393, 16393, 16393, 16393, 16393, 16393, 16393, 16393, 16393, 16393, 16393, 16393, 16393, 16393, 16393, 16393, 16393, 16393, 16393, 16393, 16393, 16393, 16393, 16393, 16393, 16393, 16393, 16393, 16393, 16393, 16393, 16393, 16393, 16393, 16393, 16393, 16393, 16393, 16393, 16393, 16393, 16393, 16393, 16393, 16393, 16393, 16393, 16393, 16393, 16393, 16393, 16393, 16393, 16393, 16393, 16393, 16393, 16393, 16393, 16393, 16393, 16393, 16393, 16393, 16582, 16582, 16696, 17170, 19471, 16704, 17015, 16673, 16647, 18126, 26877, 33433, 24741, 62229, 39832, 21559, 16397, 16582, 16696, 21125, 16604, 16397, 16397, 16398, 32542, 24129, 16785, 19562, 16409, 16398, 16398, 16461, 16470, 17229, 16455, 16397, 17070, 16398, 21606, 18566, 16398, 16471, 21196, 16398, 16715, 28238, 16582, 16696, 16674, 16977, 17624, 16397, 16582, 16582, 16696, 16604, 16393, 16393, 16393, 16393, 16393, 16393, 16393, 16393, 16393, 16393, 16393, 16393, 16393, 16393, 16393, 16393, 16393, 16393, 16393, 16393, 16393, 16393, 16393, 16393, 16393, 16393, 16393, 16393, 16393, 16393, 16393, 16393, 16393, 16393, 16393, 16393, 16393, 16393, 16393, 16393, 16393, 16393, 16393, 16393, 16393, 16393, 16393, 16393, 16393, 16393, 16393, 16393, 16393, 16393, 16393, 16393, 16393, 16393, 16393, 16393, 16393, 16393, 16393, 16393, 16393, 16393, 16393, 16393, 16604, 16396, 16396, 16413, 16582, 16582, 16411, 16384, 16396, 16396, 29416, 26438, 16715, 19988, 18183, 16903, 16653, 21587, 25749, 16604, 16396, 16396, 16413, 16582, 16411, 16471, 21196, 16409, 18578, 17830, 16412, 16385, 24938, 21606, 16396, 18578, 16385, 19644, 16412, 16385, 26341, 16385, 17231, 16412, 16385, 16415, 24938, 21606, 16385, 16604, 16398, 16413, 16582, 16411, 16471, 21196, 16409, 18578, 17830, 16412, 16385, 24938, 27706, 16396, 18578, 16385, 16650, 27794, 16412, 16385, 20901, 16475, 25239, 16385, 16582, 16696, 16696, 17231, 16412, 16385, 46093, 16391, 18803, 16765, 16658, 16409, 16409, 26341, 16398, 16415, 24938, 21606, 16395, 16604, 16390, 16398, 16390, 16395, 16604, 16415, 24938, 27706, 16392, 16385, 16604, 16398, 16413, 16582, 16582, 16411, 16384, 16396, 16396, 16604, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16604, 16396, 16396, 16413, 16582, 16582, 16411, 16471, 21196, 16409, 30393, 19644, 16412, 16385, 54992, 16385, 16413, 16582, 16650, 16411, 19564, 16409, 49743, 19931, 16412, 16385, 16474, 16415, 16699, 16476, 16385, 16398, 16413, 16582, 16411, 16398, 16471, 21196, 16409, 30393, 16413, 16582, 16582, 16411, 16384, 16396, 16396, 16604, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16604, 16396, 16396, 16413, 16582, 16582, 16411, 16471, 21196, 16409, 30393, 19644, 16412, 16385, 16471, 18452, 16385, 17830, 16412, 16385, 16471, 18452, 16385, 16413, 16582, 16650, 16411, 16471, 21196, 16409, 45369, 17830, 16412, 16385, 24938, 16466, 16385, 21112, 16412, 16385, 18578, 16391, 16390, 16699, 16390, 16395, 16415, 21587, 16806, 16392, 16385, 16398, 16413, 16582, 16650, 16411, 16471, 21196, 16409, 45369, 17830, 16412, 16385, 24938, 16385, 21112, 16412, 16385, 16387, 24938, 16466, 16442, 16400, 16444, 16385, 16398, 16413, 16582, 16650, 16411, 16471, 21196, 16409, 45369, 17830, 16412, 16385, 16644, 16996, 22518, 16385, 21112, 16412, 16385, 24665, 16396, 18596, 16391, 16387, 24938, 16392, 16385, 16398, 16413, 16582, 16582, 16650, 16411, 16471, 21196, 16409, 20497, 16396, 30393, 17830, 16412, 16385, 22267, 16397, 16699, 16397, 43332, 16385, 16413, 16582, 16696, 16411, 16471, 21196, 16409, 20110, 16396, 19649, 17830, 16412, 16385, 21587, 16806, 16385, 21112, 16412, 16385, 16415, 21587, 16806, 16385, 16398, 16413, 16582, 16650, 16411, 16398, 16471, 21196, 16409, 20497, 16396, 30393, 16413, 16582, 16582, 16650, 16411, 16471, 21196, 16409, 64928, 16413, 16582, 16696, 16411, 16471, 21196, 16409, 26760, 17709, 16412, 16385, 16387, 16644, 16996, 22518, 16412, 16390, 16390, 16385, 16413, 16582, 16696, 16650, 16411, 16471, 21196, 16409, 25121, 16413, 16582, 16696, 16696, 16411, 16471, 21196, 16409, 17888, 16413, 16439, 24993, 16671, 22087, 16471, 24825, 19931, 16409, 16604, 16411, 16398, 16471, 21196, 16409, 17888, 16413, 16582, 16696, 16696, 16411, 16471, 21196, 16409, 19826, 16396, 17663, 21112, 16412, 16385, 16415, 21587, 16806, 16385, 16398, 16413, 16582, 16696, 16650, 16411, 16398, 16471, 21196, 16409, 25121, 16413, 16582, 16696, 16650, 16411, 16471, 21196, 16409, 17888, 16413, 16414, 16414, 16414, 16411, 16398, 16471, 21196, 16409, 17888, 16413, 16582, 16696, 16411, 16398, 16471, 21196, 16409, 26760, 16413, 16582, 16582, 16696, 16411, 16471, 21196, 16409, 26760, 17709, 16412, 16385, 16415, 16806, 20524, 16385, 16413, 16582, 16696, 16650, 16411, 19564, 16409, 48449, 16396, 21587, 22207, 16396, 57392, 16412, 16385, 16474, 16415, 21587, 16806, 16476, 16385, 16582, 16696, 16696, 16696, 16696, 16696, 18509, 21196, 16409, 16893, 16396, 38150, 16396, 40305, 16412, 16385, 16471, 18452, 16397, 37241, 16385, 16413, 16582, 16696, 16696, 16411, 16471, 21196, 16409, 45369, 17830, 16412, 16385, 16688, 18315, 16466, 16385, 21112, 16412, 16385, 18578, 16391, 16390, 16699, 16390, 16395, 16415, 16806, 20524, 16392, 16385, 16398, 16413, 16582, 16696, 16696, 16411, 16471, 21196, 16409, 45369, 17830, 16412, 16385, 16688, 18315, 16385, 21112, 16412, 16385, 16387, 16688, 18315, 16466, 16442, 16400, 16444, 16385, 16398, 16413, 16582, 16696, 16696, 16411, 16471, 21196, 16409, 64928, 16413, 16582, 16696, 16696, 16650, 16411, 16471, 21196, 16409, 26760, 17709, 16412, 16385, 21207, 16391, 16387, 16688, 18315, 16392, 16604, 16412, 16604, 16399, 16385, 16413, 16582, 16696, 16696, 16696, 16411, 16471, 21196, 16409, 25121, 16413, 16582, 16696, 16696, 16696, 16650, 16411, 16471, 21196, 16409, 19826, 16396, 17663, 21112, 16412, 16385, 21207, 16391, 16387, 16688, 18315, 16466, 16392, 16385, 16398, 16413, 16582, 16696, 16696, 16696, 16650, 16411, 16471, 21196, 16409, 17888, 16413, 23488, 20524, 18842, 16671, 22087, 16471, 24825, 21708, 16409, 16604, 16411, 16398, 16471, 21196, 16409, 17888, 16413, 16582, 16696, 16696, 16696, 16650, 16411, 16471, 21196, 16409, 19826, 16396, 17663, 21112, 16412, 16385, 16415, 16806, 20524, 16385, 16398, 16413, 16582, 16696, 16696, 16696, 16411, 16398, 16471, 21196, 16409, 25121, 16413, 16582, 16696, 16696, 16696, 16411, 16471, 21196, 16409, 17888, 16413, 16414, 16414, 16414, 16411, 16398, 16471, 21196, 16409, 17888, 16413, 16582, 16696, 16696, 16650, 16411, 16398, 16471, 21196, 16409, 26760, 16413, 16582, 16696, 16696, 16650, 16411, 16471, 21196, 16409, 17252, 19667, 16413, 16582, 16696, 16696, 16696, 16411, 16471, 21196, 16409, 31917, 16396, 63482, 21112, 16412, 16385, 16387, 16688, 18315, 16385, 21920, 16412, 16385, 16806, 20524, 16385, 16398, 16413, 16582, 16696, 16696, 16650, 16411, 16398, 16471, 21196, 16409, 17252, 19667, 16413, 16582, 16696, 16696, 16411, 16398, 16471, 21196, 16409, 64928, 16413, 16582, 16696, 16650, 16411, 16398, 19564, 16409, 48449, 16396, 21587, 16413, 16582, 16696, 16411, 16398, 16471, 21196, 16409, 26760, 16413, 16582, 16582, 16696, 16411, 16471, 21196, 16409, 26760, 17709, 16412, 16385, 16387, 24938, 16398, 16415, 16471, 18452, 19974, 16385, 16413, 16582, 16696, 16650, 16411, 19564, 16409, 48449, 16396, 21587, 22207, 16396, 57392, 16412, 16385, 16474, 16415, 21587, 16806, 16476, 16385, 16582, 16696, 16696, 16696, 16696, 16696, 18509, 21196, 16409, 16893, 16396, 38150, 16396, 40305, 16412, 16385, 16471, 18452, 16397, 37241, 16385, 16413, 16582, 16696, 16696, 16411, 16471, 21196, 16409, 20497, 16396, 30393, 17830, 16412, 16385, 16471, 18452, 16397, 16471, 18452, 19974, 16385, 16413, 16582, 16696, 16696, 16650, 16411, 16471, 21196, 16409, 20110, 16396, 19649, 17830, 16412, 16385, 24938, 16385, 21112, 16412, 16385, 16387, 24938, 16385, 16398, 16413, 16582, 16696, 16696, 16411, 16398, 16471, 21196, 16409, 20497, 16396, 30393, 16413, 16582, 16696, 16650, 16411, 16398, 19564, 16409, 48449, 16396, 21587, 16413, 16582, 16696, 16411, 16398, 16471, 21196, 16409, 26760, 16413, 16582, 16582, 16696, 16411, 16471, 21196, 16409, 17252, 19667, 16413, 16582, 16696, 16650, 16411, 19564, 16409, 48449, 16396, 21587, 22207, 16396, 57392, 16412, 16385, 16474, 16415, 21587, 16806, 16476, 16385, 16582, 16696, 16696, 16696, 16696, 16696, 18509, 21196, 16409, 16893, 16396, 38150, 16396, 40305, 16412, 16385, 16471, 18452, 16397, 37241, 16385, 16413, 16582, 16696, 16696, 16411, 16471, 21196, 16409, 31917, 16396, 63482, 21112, 16412, 16385, 16387, 24938, 16385, 21920, 16412, 16385, 16471, 18452, 16396, 16928, 16385, 16413, 16582, 16696, 16696, 16650, 16411, 16471, 21196, 16409, 20110, 16396, 19649, 17830, 16412, 16385, 16644, 49252, 16385, 21112, 16412, 16385, 16397, 16385, 16398, 16413, 16582, 16696, 16696, 16650, 16411, 16471, 21196, 16409, 20110, 16396, 19649, 17830, 16412, 16385, 16471, 18452, 22137, 16385, 16413, 16582, 16696, 16696, 16696, 16411, 16471, 21196, 16409, 64928, 16413, 16582, 16696, 16696, 16696, 16650, 16411, 16471, 21196, 16409, 26760, 17709, 16412, 16385, 16415, 28853, 16674, 16804, 16391, 16415, 16471, 18452, 22137, 16392, 16674, 16604, 16387, 16893, 16397, 28853, 16397, 16676, 16397, 16471, 18452, 22137, 16604, 16384, 16412, 16604, 16399, 16385, 16413, 16582, 16696, 16696, 16696, 16696, 16411, 16471, 21196, 16409, 19826, 16396, 17663, 21112, 16412, 16385, 16415, 28853, 16385, 16398, 16413, 16582, 16696, 16696, 16696, 16650, 16411, 16398, 16471, 21196, 16409, 26760, 16413, 16582, 16696, 16696, 16696, 16650, 16411, 16471, 21196, 16409, 17252, 19667, 16413, 16582, 16696, 16696, 16696, 16696, 16411, 16471, 21196, 16409, 19826, 16396, 17663, 21112, 16412, 16385, 16415, 16471, 18452, 22137, 16385, 16398, 16413, 16582, 16696, 16696, 16696, 16650, 16411, 16398, 16471, 21196, 16409, 17252, 19667, 16413, 16582, 16696, 16696, 16696, 16411, 16398, 16471, 21196, 16409, 64928, 16413, 16582, 16696, 16696, 16650, 16411, 16398, 16471, 21196, 16409, 20110, 16396, 19649, 16413, 16582, 16696, 16696, 16411, 16398, 16471, 21196, 16409, 31917, 16396, 63482, 16413, 16582, 16696, 16650, 16411, 16398, 19564, 16409, 48449, 16396, 21587, 16413, 16582, 16696, 16411, 16398, 16471, 21196, 16409, 17252, 19667, 16413, 16582, 16650, 16411, 16398, 16471, 21196, 16409, 64928, 16413, 16582, 16582, 16650, 16411, 16384, 16396, 16396, 20712, 19749, 19242, 21178, 16414, 16604, 16396, 16396, 16413, 16582, 16650, 16411, 16471, 21196, 16409, 16736, 17709, 16412, 16385, 18060, 16391, 59187, 16396, 20110, 16391, 25825, 17356, 16396, 23761, 16391, 16415, 16471, 18452, 22137, 16392, 16395, 16604, 16390, 25032, 16409, 16390, 16392, 16604, 16384, 16412, 16604, 16390, 16390, 16604, 16582, 16696, 16696, 16696, 16696, 16770, 16604, 16391, 35977, 16391, 16415, 16471, 18452, 22137, 16395, 16604, 16390, 22713, 16390, 16392, 16582, 16696, 16696, 16696, 16696, 16696, 16785, 21998, 16391, 16415, 16471, 18452, 22137, 16395, 16604, 16390, 26318, 16390, 16392, 16392, 16392, 16582, 16696, 16696, 16696, 16696, 16770, 16604, 16391, 16604, 16387, 31134, 16397, 16471, 18452, 16397, 22713, 16397, 26449, 16604, 16412, 16604, 16390, 25019, 16390, 16604, 16582, 16581, 16581, 16650, 16785, 16604, 16387, 31134, 16397, 16471, 18452, 16397, 22713, 16397, 26449, 16604, 16412, 16604, 16390, 16400, 16390, 16392, 16582, 16696, 16696, 16696, 16696, 16658, 18070, 16396, 18596, 16391, 16387, 24938, 16392, 16604, 16412, 16604, 16390, 45438, 16390, 16385, 16413, 16582, 16696, 16411, 19564, 16409, 48449, 16396, 21587, 22207, 16396, 57392, 16412, 16385, 16474, 16415, 21587, 16806, 16476, 16385, 16582, 16696, 16696, 16696, 16696, 16650, 18509, 21196, 16409, 16893, 16396, 38150, 16396, 40305, 16412, 16385, 16471, 18452, 16397, 37241, 16385, 16413, 16582, 16696, 16650, 16411, 16471, 21196, 16409, 31917, 16396, 63482 ]
[ 0, 16396, 16396, 16396, 16582, 26371, 16409, 16582, 16396, 16604, 16390, 16416, 16397, 18331, 63600, 37953, 16390, 16582, 16396, 16604, 16390, 16416, 16397, 18331, 16428, 28451, 16770, 16390, 16582, 16396, 16604, 16390, 16431, 16397, 18331, 16426, 20073, 20534, 16390, 16582, 16396, 16604, 16390, 16430, 16397, 18331, 16418, 17786, 17022, 17795, 16390, 16582, 16396, 16604, 16390, 16425, 16397, 18331, 29085, 16654, 41923, 16896, 16390, 16582, 16396, 16604, 16390, 16438, 16397, 18331, 16422, 29170, 16390, 16582, 16449, 34289, 20147, 16409, 16582, 16396, 16604, 16390, 16397, 16398, 16449, 34289, 55077, 16397, 54690, 16390, 16582, 18845, 16409, 16604, 16390, 58528, 18936, 16604, 16400, 16400, 16395, 16604, 16401, 16399, 16400, 16402, 16410, 23013, 19137, 16604, 16402, 16399, 16395, 16604, 16401, 16399, 16400, 16402, 16390, 16582, 19541, 23718, 16409, 16604, 16390, 20137, 16397, 18331, 16435, 18331, 22716, 17139, 16646, 16701, 16656, 16674, 18126, 18331, 16434, 16750, 17075, 17318, 16456, 16815, 19712, 16396, 16642, 64570, 60001, 26543, 16734, 16965, 34510, 16424, 16398, 16428, 18320, 16424, 16442, 16445, 16400, 16444, 16390, 16582, 23718, 16409, 55291, 33310, 16659, 17473, 61847, 16719, 16934, 16643, 18145, 16582, 16396, 16396, 16396, 16582, 16582, 16442, 17507, 18077, 16647, 18399, 18805, 16673, 24777, 16719, 16934, 16643, 18145, 17655, 17362, 31517, 23544, 28101, 16672, 16647, 19712, 16396, 16642, 64570, 16734, 16647, 16965, 34510, 16424, 16398, 16428, 18320, 16424, 23963, 16395, 16641, 17142, 16396, 51696, 60001, 29110, 16691, 33604, 21722, 16397, 16444, 16474, 16476, 16604, 16442, 17507, 21715, 38263, 16674, 17701, 23697, 16715, 16647, 28054, 16719, 16934, 16643, 18145, 18126, 18331, 16434, 17076, 16674, 16700, 18331, 22716, 16397, 17119, 35330, 16647, 56656, 16424, 27615, 16395, 51019, 16809, 16604, 16387, 16417, 16395, 16965, 16395, 16832, 16395, 16751, 16395, 16908, 16387, 23824, 18345, 26543, 16395, 16734, 16647, 35131, 20558, 19484, 16604, 16447, 16419, 27171, 16440, 16447, 16671, 21349, 16647, 25891, 28798, 23239, 16397, 17119, 17405, 16641, 23850, 25891, 25989, 16715, 22594, 17182, 16668, 28324, 16397, 16444, 16474, 16476, 16604, 16442, 17507, 20897, 16667, 23447, 56799, 18805, 16672, 16647, 38263, 16674, 17701, 23697, 16715, 17490, 22612, 16395, 20290, 16700, 18331, 22716, 17699, 25873, 16815, 29038, 21515, 40328, 16397, 17119, 30111, 16811, 16671, 16647, 21057, 16673, 16641, 22594, 17182, 16668, 38944, 16604, 16391, 16418, 19890, 16392, 24137, 16647, 16719, 16934, 16643, 18145, 16397, 17170, 16704, 18239, 17587, 24737, 16715, 18126, 18331, 16434, 17076, 16604, 16391, 16387, 16443, 25702, 16446, 16443, 24160, 16474, 16399, 16397, 16404, 16404, 16443, 24160, 16474, 16443, 21685, 16669, 16476, 16476, 16604, 16412, 16604, 16399, 16397, 16399, 16399, 16407, 16387, 16392, 16395, 17437, 16728, 21438, 16671, 16703, 55453, 16715, 16700, 18331, 22716, 16604, 16391, 16387, 16443, 25702, 16446, 16443, 24160, 16474, 16399, 16397, 16404, 16404, 16443, 24160, 16474, 16443, 21685, 16669, 16476, 16476, 16604, 16412, 16604, 16399, 16397, 16400, 16404, 16387, 16392, 16397, 17513, 16769, 20186, 16767, 16931, 16604, 16400, 16404, 17064, 16401, 16399, 37934, 18766, 19904, 16397, 28671, 17038, 18722, 16985, 16395, 16742, 26552, 16641, 18715, 18472, 16396, 17345, 17239, 24511, 16672, 16647, 16965, 18629, 20678, 25719, 16423, 16400, 24052, 16395, 16604, 16387, 16662, 16446, 16443, 24160, 16474, 16407, 16397, 16405, 16443, 16395, 16443, 21685, 16669, 16476, 16387, 16443, 16442, 16388, 16443, 16444, 16387, 16604, 16412, 16604, 16399, 16397, 16407, 16400, 16391, 16443, 19673, 16399, 16397, 16399, 16403, 16392, 16431, 16387, 16443, 16442, 17093, 16443, 16444, 16397, 17119, 25470, 16721, 16647, 19032, 16673, 16719, 19890, 16466, 16709, 16647, 19712, 16396, 20678, 18472, 17064, 16459, 24276, 31757, 16604, 16391, 16431, 17064, 16427, 16392, 24511, 19108, 16703, 54074, 17172, 16873, 16843, 28338, 16647, 16719, 16934, 40185, 45804, 16809, 16903, 16671, 16931, 16604, 16402, 16399, 16388, 16397, 17544, 16647, 16604, 16387, 16426, 16387, 16396, 19608, 16739, 17064, 16427, 24511, 16395, 16647, 16719, 19890, 25346, 18633, 16671, 16703, 19251, 16604, 16391, 16387, 16411, 16604, 16404, 16387, 16388, 16392, 16395, 16850, 16647, 22281, 18467, 16671, 16703, 51631, 16671, 33470, 31748, 16721, 16647, 19032, 16673, 16647, 16719, 19890, 16466, 16704, 54074, 16672, 16811, 19692, 16397, 16444, 16474, 16476, 16582, 16582, 38194, 16582, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16582, 16582, 16416, 18650, 28697, 16673, 28054, 16719, 16934, 16643, 18145, 36522, 16667, 44150, 24196, 16395, 16721, 16704, 18366, 21099, 16809, 16641, 22594, 17182, 16668, 38944, 16604, 16391, 16418, 19890, 16392, 16397, 16772, 26840, 16673, 16647, 17092, 16719, 19890, 17473, 16647, 16719, 16934, 40185, 16604, 16387, 16443, 17182, 16387, 18331, 22529, 17366, 17231, 16673, 18046, 16396, 16674, 19712, 16396, 16642, 64570, 60001, 29110, 28101, 16604, 16442, 16415, 16426, 20073, 20534, 16446, 16401, 16399, 16399, 16405, 16446, 16399, 16402, 16446, 16399, 16444, 16397, 28224, 17438, 42765, 16958, 29856, 19074, 16715, 16977, 16719, 16934, 16643, 18145, 16604, 16442, 16415, 31025, 16770, 16446, 16401, 16399, 16399, 16406, 16446, 16399, 16407, 16446, 16399, 16410, 16604, 16415, 31025, 16770, 16446, 16401, 16399, 16399, 16405, 16446, 16399, 16406, 16446, 16399, 16410, 16604, 16415, 16417, 17555, 17770, 16446, 16401, 16399, 16400, 16400, 16446, 16400, 16400, 16446, 16399, 16410, 16604, 16415, 63600, 37953, 16446, 16401, 16399, 16400, 16400, 16446, 16400, 16400, 16446, 16399, 16444, 16395, 19868, 16671, 16647, 33018, 16721, 19382, 16858, 16719, 16934, 16643, 18145, 16769, 28160, 16809, 16641, 16719, 19890, 16397, 18708, 33310, 16659, 16769, 19550, 16815, 18295, 22797, 16397, 55344, 16395, 16873, 17699, 16703, 19359, 16671, 18074, 16785, 24036, 37934, 19027, 19260, 16674, 17699, 16703, 17405, 16671, 30280, 16647, 16719, 16934, 40185, 23777, 18496, 16397, 52032, 16395, 16914, 21057, 17699, 37820, 16641, 28338, 16671, 21424, 18638, 22928, 17366, 16734, 24323, 17077, 16396, 16438, 24093, 16976, 20625, 16674, 28338, 16647, 45982, 16673, 16647, 30784, 18472, 17064, 16459, 24276, 31757, 16604, 16391, 16431, 17064, 16427, 16392, 24511, 16397, 19736, 18722, 18786, 16604, 16442, 16415, 63600, 37953, 16446, 16401, 16399, 16400, 16400, 16446, 16400, 16400, 16446, 16399, 16410, 16604, 16415, 31025, 16770, 16446, 16401, 16399, 16399, 16406, 16446, 16399, 16407, 16446, 16399, 16410, 16604, 16415, 31025, 16770, 16446, 16401, 16399, 16399, 16405, 16446, 16399, 16406, 16446, 16399, 16410, 16604, 16415, 16426, 20073, 20534, 16446, 16401, 16399, 16399, 16405, 16446, 16399, 16402, 16446, 16399, 16444, 20332, 16721, 17213, 16719, 19890, 16466, 16807, 16667, 38325, 19101, 16673, 16641, 17589, 37934, 18766, 19904, 16674, 16641, 34177, 25346, 16671, 16647, 18345, 40066, 28474, 16815, 16641, 17589, 18448, 16671, 18295, 31146, 16673, 18448, 16397, 19814, 16672, 16647, 18046, 16396, 20678, 16647, 16719, 19890, 34177, 32186, 17699, 16703, 54074, 19739, 16734, 16647, 18345, 18131, 32980, 49690, 16395, 16811, 16704, 16804, 16647, 17843, 16672, 16647, 19712, 16396, 16674, 17963, 16396, 20678, 16395, 17187, 16647, 16719, 19890, 32186, 58924, 16604, 16442, 16415, 63600, 37953, 16446, 16401, 16399, 16400, 16400, 16446, 16400, 16400, 16446, 16399, 16410, 16604, 16415, 16426, 20073, 20534, 16446, 16401, 16399, 16399, 16408, 16446, 16399, 16404, 16446, 16399, 16444, 16397, 16582, 16582, 59149, 16395, 16641, 28667, 21833, 16671, 18560, 17415, 16647, 44406, 16725, 18472, 16674, 16647, 16719, 19890, 45804, 16672, 16647, 18046, 16396, 16674, 19712, 16396, 20678, 26312, 16409, 17301, 16396, 42931, 16719, 16934, 16643, 18145, 17672, 16671, 17299, 22439, 46758, 16719, 19890, 16466, 17032, 18187, 16396, 42931, 16719, 16934, 16643, 18145, 16395, 29074, 16721, 16647, 19027, 16396, 29942, 25013, 17120, 16703, 24053, 16671, 37934, 44406, 16725, 16604, 16442, 16415, 63600, 37953, 16446, 16401, 16399, 16400, 16400, 16446, 16400, 16400, 16446, 16399, 16410, 16604, 16415, 31025, 16770, 16446, 16401, 16399, 16399, 16406, 16446, 16399, 16407, 16446, 16399, 16444, 16397, 16719, 16934, 16643, 18145, 16734, 17301, 26251, 16807, 18846, 32761, 16674, 21036, 18766, 19904, 16395, 20821, 16980, 16742, 22921, 16721, 16647, 16719, 19890, 30784, 45804, 16704, 16667, 32967, 16673, 16647, 19027, 16396, 29942, 18960, 16395, 16811, 16961, 17881, 16721, 42228, 22612, 18019, 18846, 19027, 16396, 29942, 20627, 16397, 17170, 20937, 17120, 16703, 22360, 16809, 16647, 25012, 30736, 22262, 16672, 19287, 16396, 42931, 16719, 16934, 16643, 18145, 16674, 22239, 27326, 16767, 18244, 44406, 16725, 33780, 16604, 16442, 16415, 16429, 16835, 50507, 16446, 16401, 16399, 16399, 16407, 16446, 16400, 16399, 16446, 16399, 16410, 16604, 16415, 16429, 16835, 50507, 16446, 16401, 16399, 16399, 16405, 16446, 16399, 16406, 16446, 16399, 16444, 16397, 19209, 19441, 16811, 28667, 17415, 16647, 44406, 16725, 18472, 16674, 16647, 30784, 24196, 16704, 25035, 16715, 51369, 17160, 18459, 17415, 16647, 16719, 16934, 40185, 16743, 24812, 23239, 16734, 18577, 16671, 16914, 44406, 16725, 26251, 16397, 17426, 16719, 19890, 16466, 30169, 21449, 16647, 55388, 38483, 16673, 17213, 24812, 23239, 16604, 16391, 16459, 24276, 31757, 16395, 19027, 16395, 34064, 16395, 19104, 16397, 16392, 16395, 16811, 16641, 28667, 16868, 17474, 16671, 16641, 39068, 45982, 16397, 16999, 16704, 20821, 22009, 16671, 19072, 26144, 16674, 18446, 19310, 17213, 16719, 19890, 16466, 16674, 16671, 19031, 16647, 29311, 22281, 16671, 23204, 16914, 21454, 16397, 16582, 16582, 17507, 17875, 17009, 28231, 18602, 30432, 16965, 34510, 16424, 16398, 16428, 18320, 16424, 60001, 29110, 28101, 16673, 16647, 28054, 16719, 16934, 16643, 18145, 16604, 16391, 26997, 18331, 16400, 16405, 16400, 16404, 16408, 16401, 16395, 16604, 16387, 16431, 16604, 16412, 16604, 16406, 16397, 16399, 16400, 16387, 26075, 16392, 16674, 16604, 16391, 26997, 18331, 16403, 16403, 16408, 16408, 16399, 16395, 16604, 16387, 16431, 16604, 16412, 16604, 16401, 16406, 16397, 16399, 16401, 16387, 26075, 16392, 16397, 16772, 19420, 16704, 25095, 16741, 21983, 16397, 38628, 16964, 16674, 17586, 23789, 24218, 16769, 20905, 16672, 16702, 16892, 16397, 18331, 16443, 16442, 21095, 16443, 16446, 16443, 16446, 49320, 16725, 16443, 16444, 16397, 16772, 17586, 32426, 16674, 18466, 16769, 19074, 16672, 16702, 16892, 16397, 18331, 16443, 16442, 21095, 16443, 16446, 16443, 16446, 16450, 16710, 16443, 16446, 24048, 16661, 16443, 16444, 16397, 16875, 16702, 16892, 16397, 18331, 16443, 16442, 21095, 16443, 16446, 16443, 16446, 42931, 16443, 16446, 17345, 17239, 16443, 16446, 43930, 16443, 16444, 16742, 18751, 16647, 18230, 24511, 17415, 16647, 44406, 16725, 18472, 16674, 16647, 30784, 24196, 16397, 17119, 17177, 17620, 17038, 18466, 16672, 16702, 16892, 16397, 18331, 16443, 16442, 21095, 16443, 16446, 16443, 16446, 20129, 27004, 16443, 16444, 16674, 31748, 16672, 16702, 16892, 16397, 18331, 16443, 16442, 21095, 16443, 16446, 16443, 16446, 16979, 21462, 16443, 16444, 16397, 16582, 16582, 16437, 34510, 16424, 16398, 16428, 18320, 16424, 28101, 16604, 16474, 16386, 21095, 16446, 16446, 49320, 16725, 16476, 16582, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16582, 16582, 49484, 16964, 16582, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16582, 16582, 16853, 28101, 16958, 21996, 16891, 16672, 16604, 16401, 16399, 16399, 16407, 16674, 16604, 16401, 16399, 16399, 16408, 16734, 16647, 16965, 34510, 28323, 29643, 26397, 29776, 16674, 16647, 56656, 16424, 23963, 16604, 16442, 16415, 19375, 16642, 17118, 16446, 16401, 16399, 16399, 16402, 16446, 16446, 16399, 16444, 16397, 56656, 16424, 35904, 16647, 42519, 18109, 18767, 16815, 17142, 40855, 29776, 16672, 16647, 16604, 16387, 16429, 16387, 19692, 16604, 16391, 16387, 16443, 23130, 16604, 16412, 16604, 16407, 16396, 16400, 16402, 16443, 16395, 16443, 21685, 16387, 16460, 16392, 16674, 19522, 16647, 26335, 16674, 20768, 16465, 16834, 52608, 16662, 63834, 16734, 17142, 18230, 39035, 41654, 16604, 16391, 16387, 16433, 16604, 16412, 16604, 16443, 26210, 16604, 16443, 23130, 16604, 16398, 16604, 16443, 23130, 16604, 16412, 16604, 16402, 16399, 16395, 16604, 16401, 16402, 16399, 16387, 16392, 16397, 17544, 16647, 28101, 20905, 17348, 16395, 16742, 17405, 16647, 17116, 17502, 16721, 19522, 16647, 26572, 39035, 23544, 16397, 22191, 16647, 28101, 16395, 16647, 24745, 42589, 16673, 16647, 17142, 28323, 29643, 26397, 29776, 16604, 16391, 20356, 16400, 16396, 20356, 16403, 16392, 16958, 46790, 16734, 16641, 23790, 16673, 16604, 16401, 44268, 16671, 23296, 22281, 16647, 24050, 21515, 16397, 56656, 16424, 16872, 17142, 18345, 29110, 45982, 30725, 16409, 16751, 40200, 16443, 16446, 16434, 36663, 16395, 16672, 16944, 16647, 34177, 16704, 23975, 32632, 17135, 16647, 60001, 29110, 28101, 16395, 16674, 64919, 16443, 16446, 29049, 18957, 16395, 16672, 16944, 16647, 18345, 26543, 16704, 23975, 28859, 16734, 16647, 17361, 21436, 16662, 63834, 16397, 18708, 19074, 28101, 16958, 21715, 16672, 16751, 40200, 16443, 16446, 16434, 36663, 21920, 17172, 16673, 16641, 22439, 18229, 29038, 30784, 45804, 16673, 17038, 16719, 16934, 16643, 18145, 16397, 16582, 16582, 18313, 22200, 16647, 35035, 16674, 39515, 40605, 16395, 51369, 18619, 16673, 18365, 41892, 36974, 16958, 21852, 20629, 17329, 16785, 17135, 16647, 16719, 16934, 40185, 16397, 17513, 16958, 23461, 16815, 16647, 16604, 16415, 22520, 17175, 16446, 16400, 16408, 16408, 16408, 16446, 16399, 16403, 16446, 16399, 33402, 16395, 16674, 16769, 18546, 63777, 16767, 17038, 31711, 17927, 22981, 16604, 16391, 16387, 16437, 16604, 16413, 16604, 16408, 16404, 16387, 16388, 16395, 20302, 16715, 26015, 18331, 16400, 16405, 16408, 16408, 16400, 16405, 16395, 16715, 16944, 16604, 16387, 16437, 16604, 16412, 16604, 16407, 16406, 16387, 16388, 16392, 16397, 16772, 33444, 29487, 19970, 16734, 16914, 16641, 19421, 16456, 38325, 31351, 20341, 26307, 16704, 54074, 19739, 16734, 16647, 23850, 32768, 16673, 16647, 56656, 16424, 17701, 23697, 16604, 16391, 16400, 16399, 17064, 16400, 16404, 16388, 16392 ]
[ 0, 16385, 22471, 34657, 16674, 49775, 16809, 16712, 16468, 16886, 26266, 16446, 24891, 16735, 37134, 23841, 16409, 18064, 17500, 22290, 16446, 16449, 16720, 16415, 16841, 26844, 16385, 16604, 16385, 54596, 45348, 17382, 16699, 21887, 21703, 16397, 16385, 16604, 16385, 17071, 16647, 22346, 16395, 17014, 16647, 18217, 16715, 43600, 21989, 16704, 16994, 17030, 16395, 16728, 32905, 19255, 16785, 28666, 26715, 16397, 16385, 16604, 16385, 20237, 24823, 16673, 17073, 44214, 20034, 16385, 16604, 16385, 16385, 27681, 16661, 16641, 19206, 16385, 16385, 16604, 16385, 16385, 22482, 17276, 16661, 26803, 19875, 16385, 16385, 16604, 16385, 37748, 16397, 16385, 16604, 16385, 16429, 24299, 49324, 36409, 16397, 16385, 16604, 16385, 23852, 16769, 16732, 16815, 16414, 16385, 16604, 16385, 23852, 16769, 16732, 16815, 16414, 16385, 16604, 16385, 20237, 16414, 16385, 16604, 16385, 19524, 18533, 16397, 16385, 16604, 16385, 22719, 16732, 16809, 19486, 16414, 16385, 16604, 16385, 21516, 16397, 16385, 16604, 16385, 16424, 16390, 16460, 16809, 19110, 16397, 16385, 16604, 16385, 23852, 16769, 16732, 17395, 16414, 16385, 16604, 16385, 16416, 64870, 16397, 16385, 16604, 16385, 16427, 46541, 16414, 16385, 16604, 16385, 21516, 16397, 16385, 16604, 16385, 23852, 16687, 16390, 16460, 20645, 16671, 16703, 16397, 16385, 16604, 16385, 16423, 16847, 19574, 23756, 16397, 16385, 16604, 16385, 36890, 21599, 16397, 16385, 16604, 16385, 64291, 16767, 17092, 23755, 16414, 16385, 16604, 16385, 26042, 16397, 16385, 16604, 16385, 17409, 16390, 16466, 16945, 16647, 17092, 18943, 16687, 18831, 16968, 16395, 16887, 18456, 18370, 26195, 43813, 16397, 16385, 16604, 16385, 18001, 17660, 16390, 16467, 17134, 16641, 27358, 18697, 16945, 16721, 25801, 16397, 16385, 16604, 16385, 16416, 16826, 16390, 16467, 16732, 18519, 16396, 16676, 19366, 16785, 17016, 16414, 16385, 16604, 16385, 19084, 16687, 16390, 16460, 16804, 16397, 16385, 16604, 16385, 33807, 16395, 16647, 17367, 17005, 17135, 54418, 25664, 16395, 16687, 18200, 16647, 20124, 20934, 16414, 16385, 16604, 16385, 19276, 16763, 16709, 16728, 16397, 16385, 16604, 16385, 27503, 17613, 16704, 17049, 16815, 16414, 16385, 16604, 16385, 60127, 16721, 16704, 20670, 16397, 16397, 16397, 16385, 16604, 16385, 16426, 17931, 23628, 31480, 16645, 16657, 16397, 16385, 16604, 16385, 18105, 16414, 16385, 16604, 16385, 18105, 16390, 16466, 18909, 16414, 16385, 16604, 16385, 36957, 21853, 22916, 16397, 16385, 16604, 16385, 17507, 16769, 16672, 16641, 17210, 17441, 17476, 17617, 16397, 16385, 16604, 16385, 18377, 16390, 16466, 17028, 17210, 17049, 16390, 16466, 21848, 17966, 16671, 16907, 16397, 16385, 16604, 16385, 21127, 16414, 16385, 16604, 16385, 17071, 17652, 16395, 23550, 17930, 16390, 16467, 18798, 16397, 16385, 16604, 16385, 53032, 16390, 16467, 16721, 16859, 16414, 16385, 16604, 16385, 18867, 16390, 16466, 17262, 16397, 16385, 16604, 16385, 17409, 17930, 16390, 16467, 18798, 16397, 16385, 16604, 16385, 60238, 16674, 22189, 16769, 16647, 17396, 16397, 16385, 16604, 16385, 16853, 17411, 16704, 16395, 16732, 16994, 16807, 16671, 17133, 16931, 26659, 51039, 16397, 16385, 16604, 16385, 17071, 18187, 16395, 16732, 20790, 16647, 18284, 16891, 16945, 16811, 16385, 16604, 16385, 18377, 16704, 17097, 16917, 27308, 17348, 16397, 16385, 16604, 16385, 20237, 24823, 16728, 16843, 17671, 17262, 16414, 16385, 16604, 16385, 22127, 16395, 17014, 16732, 16390, 16644, 28492, 16647, 18284, 16672, 16395, 16732, 17724, 16767, 18266, 16397, 16397, 16385, 16604, 16385, 62934, 21392, 16384, 16385, 16604, 16385, 16424, 17134, 16397, 16385, 16604, 16385, 18342, 18357, 16397, 16385, 16604, 16385, 18867, 16390, 16466, 17818, 16647, 18697, 17485, 27425, 16396, 22567, 16863, 16657, 19812, 17348, 16647, 16977, 17386, 16872, 16641, 18492, 16721, 47927, 16641, 41314, 16395, 23480, 16414, 16385, 16604, 16385, 18001, 21455, 17130, 16384, 16385, 16604, 16385, 16424, 16390, 16460, 16804, 16641, 20733, 16397, 16385, 16604, 16385, 16430, 17125, 16653, 17125, 16397, 16397, 16385, 16604, 16385, 23852, 16709, 21006, 16704, 16986, 17274, 16641, 27358, 41314, 16414, 16385, 16604, 16385, 18001, 52326, 18336, 16384, 16385, 16604, 16385, 27064, 16384, 16385, 16604, 16385, 20574, 16390, 16467, 27273, 17473, 17030, 16986, 16397, 16385, 16604, 16385, 16440, 16825, 16384, 16385, 16604, 16385, 48003, 16643, 16456, 16397, 16385, 16604, 16385, 18001, 17121, 16390, 16467, 16807, 16671, 16854, 16671, 19115, 17568, 16414, 16385, 16604, 16385, 21519, 20272, 16384, 16385, 16604, 16385, 23531, 16732, 18242, 16384, 16385, 16604, 16385, 16424, 16390, 16460, 17395, 16397, 16385, 16604, 16385, 21519, 16702, 20056, 16395, 16912, 24408, 19855, 16397, 16385, 16604, 16385, 21519, 16397, 16397, 16385, 16604, 16385, 16424, 16807, 16641, 18097, 23247, 18120, 16397, 16385, 16604, 16385, 41227, 16728, 16397, 16385, 16604, 16385, 19930, 16728, 55610, 39126, 16414, 16385, 16604, 16385, 26042, 16397, 16385, 16604, 16385, 16424, 16390, 16460, 17395, 16397, 16385, 16604, 16385, 26165, 16641, 19654, 20908, 16397, 16385, 16604, 16385, 21519, 16702, 20056, 16397, 16385, 16604, 16385, 30494, 16397, 16385, 16604, 16385, 43187, 16671, 17613, 16414, 16385, 16604, 16385, 26042, 16397, 16385, 16604, 16385, 21055, 16395, 20065, 16991, 24949, 16397, 16385, 16604, 16385, 31669, 16397, 16385, 16604, 16385, 16424, 17121, 16390, 16467, 16807, 17005, 16397, 16385, 16604, 16385, 16434, 20056, 16397, 16385, 16604, 16385, 20574, 16390, 16467, 19786, 17441, 19535, 16384, 16385, 16604, 16385, 16424, 17039, 16477, 16384, 16385, 16604, 16385, 23913, 19571, 16395, 31480, 31845, 16397, 16385, 16604, 16385, 17635, 17617, 16704, 16672, 18216, 20249, 16397, 16385, 16604, 16385, 36041, 16848, 25430, 16728, 16414, 16385, 16604, 16385, 60127, 16414, 16385, 16604, 16385, 16434, 20056, 16477, 16384, 16385, 16604, 16385, 24715, 24033, 16384, 16385, 16604, 16385, 18105, 16390, 16466, 16903, 16414, 16385, 16604, 16385, 43187, 16671, 16887, 48699, 16390, 16466, 17617, 16715, 16991, 20591, 18376, 16397, 16385, 16604, 16385, 16434, 20056, 16395, 16811, 17386, 16390, 16466, 19987, 17659, 17262, 16414, 16385, 16604, 16385, 26042, 16397, 16385, 16604, 16385, 19930, 16912, 17514, 16397, 16385, 16604, 16385, 17991, 16728, 16390, 16466, 16702, 20056, 16395, 17578, 16868, 20057, 16703, 19655, 16397, 16385, 16604, 16385, 22621, 16397, 16385, 16604, 16385, 29804, 16397, 16397, 16397, 16385, 16604, 16385, 16434, 20056, 16397, 16397, 16385, 16604, 16385, 28261, 16397, 16397, 16385, 16604, 16385, 28261, 16397, 16397, 16385, 16604, 16385, 28261, 16397, 16397, 16385, 16604, 16385, 28261, 16397, 16397, 16385, 16604, 16385, 16424, 20048, 16671, 20391, 16858, 16647, 28250, 16721, 16385, 16604, 16385, 18264, 16647, 18943, 16395, 16986, 16961, 16703, 16667, 59404, 16741, 16742, 16807, 16994, 17535, 17065, 16641, 36330, 16397, 16385, 16604, 16385, 16416, 36330, 16414, 16385, 16604, 16385, 17635, 16704, 17369, 16397, 16385, 16604, 16385, 17409, 16704, 23982, 17348, 16397, 16385, 16604, 16385, 20201, 16390, 16466, 17590, 16671, 19598, 16728, 16891, 16397, 16385, 16604, 16385, 21516, 16397, 16385, 16604, 16385, 33169, 16477, 16384, 16385, 16604, 16385, 16424, 16390, 16460, 18119, 16709, 16384, 16385, 16604, 16385, 33169, 16384, 16385, 16604, 16385, 33169, 16384, 16385, 16604, 16385, 22719, 16732, 16672, 16641, 41860, 16414, 16385, 16604, 16385, 16420, 16455, 16414, 16385, 16604, 16385, 64355, 17598, 16414, 16385, 16604, 16385, 16424, 16807, 16667, 19146, 16397, 16385, 16604, 16385, 45628, 16414, 16385, 16604, 16385, 20237, 17441, 16384, 16385, 16604, 16385, 37970, 16414, 16385, 16604, 16385, 18105, 17005, 17257, 16728, 17298, 16414, 16385, 16604, 16385, 16400, 16399, 16653, 16390, 31819, 16397, 16385, 16604, 16385, 60636, 16384, 16385, 16604, 16385, 51613, 16893, 16848, 16397, 16385, 16604, 16385, 17635, 16704, 31056, 16643, 16456, 16397, 16385, 16604, 16385, 16436, 19932, 16397, 16397, 16385, 16604, 16385, 16424, 17137, 16671, 25841, 16912, 19592, 16397, 16385, 16604, 16385, 19084, 17231, 16397, 16385, 16604, 16385, 58346, 16721, 16733, 16390, 16466, 20254, 16891, 16671, 16647, 18676, 16397, 16385, 16604, 16385, 16424, 16390, 16683, 16854, 17134, 17107, 16397, 16385, 16604, 16385, 16436, 19932, 16397, 16397, 16385, 16604, 16385, 19930, 16732, 17039, 17072, 16671, 19786, 16414, 16385, 16604, 16385, 16423, 22775, 16414, 16385, 16604, 16385, 21539, 16397, 16397, 16385, 16604, 16385, 16424, 16843, 19786, 16641, 17687, 18064, 16395, 28328, 24759, 16397, 16385, 16604, 16385, 17991, 16732, 16843, 16397, 16397, 16397, 16843, 16390, 16467, 16742, 25841, 16721, 16414, 16385, 16604, 16385, 18105, 16414, 16385, 16604, 16385, 20018, 16850, 16397, 16397, 16397, 16721, 16704, 16804, 17324, 16397, 16397, 16385, 16604, 16385, 16424, 16390, 16683, 16703, 16672, 17703, 22736, 16980, 16687, 17121, 16390, 16467, 17190, 16728, 16709, 17005, 16397, 16385, 16604, 16385, 23844, 16829, 16848, 16811, 19206, 16397, 16385, 16604, 16385, 18971, 17417, 23825, 16709, 16811, 16397, 16385, 16604, 16385, 16431, 45740, 16397, 16397, 16385, 16604, 16385, 21519, 16384, 16385, 16604, 16385, 18105, 16414, 16385, 16604, 16385, 18571, 16931, 16912, 19146, 16414, 16385, 16604, 16385, 23690, 16732, 17190, 16728, 16414, 16385, 16604, 16385, 21539, 16397, 16397, 17123, 16397, 16397, 36189, 16397, 16385, 16604, 16385, 37970, 16414, 16385, 16604, 16385, 22127, 16728, 16390, 16466, 19655, 17891, 16397, 16385, 16604, 16385, 16420, 16455, 16414, 16385, 16604, 16385, 16416, 20573, 16384, 16385, 16604, 16385, 16436, 16470, 17162, 16384, 16385, 16604, 16385, 16436, 16470, 17162, 16384, 16385, 16604, 16385, 30829, 16647, 17378, 16384, 16385, 16604, 16385, 30829, 16384, 16385, 16604, 16385, 16424, 16843, 16390, 16467, 18168, 16728, 16384, 16385, 16604, 16385, 16434, 20056, 16384, 16385, 16604, 16385, 36783, 16397, 16385, 16604, 16385, 22719, 16732, 25139, 16414, 16385, 16604, 16385, 18377, 17930, 16390, 16467, 17672, 16671, 16703, 16998, 22193, 16397, 16385, 16604, 16385, 19276, 16763, 37077, 16671, 17613, 16397, 16385, 16604, 16385, 21539, 16395, 16850, 17363, 21226, 17714, 16641, 23949, 16704, 16804, 16641, 17203, 17792, 16397, 16385, 16604, 16385, 16385, 34759, 16641, 23949, 16385, 16397, 16397, 16397, 16385, 16604, 16385, 18001, 27448, 16641, 17378, 16414, 16385, 16604, 16385, 21519, 17028, 17028, 17028, 16397, 16385, 16604, 16385, 16853, 16917, 21226, 18833, 16390, 16467, 16912, 20803, 16395, 16850, 16641, 21966, 19540, 16815, 16641, 55749, 17362, 17613, 16397, 16385, 16604, 16385, 17611, 17257, 16807, 16641, 26521, 23949, 17891, 16397, 16385, 16604, 16385, 21925, 16397, 16397, 16397, 16448, 26521, 23949, 16704, 17363, 17097, 26521, 16397, 16385, 16604, 16385, 17409, 16390, 16466, 16804, 16641, 24942, 16917, 16395, 16859, 16397, 16397, 16397, 16385, 16604, 16385, 18001, 16390, 16644, 17579, 17395, 16671, 24204, 16715, 16641, 24942, 23949, 17244, 16384, 16385, 16604, 16385, 18129, 16672, 16721, 19580, 16397, 16397, 16385, 16604, 16385, 25547, 17121, 16390, 16467, 17190, 42706, 16384, 16385, 16604, 16385, 49316, 16384, 16385, 16604, 16385, 48003, 16643, 16456, 17727, 16390, 16467, 16807, 18216, 25464, 16397, 16397, 16397, 16385, 16604, 16385, 23915, 31003, 16931, 18216, 25464, 16785, 17016, 18060, 16384, 16385, 16604, 16385, 22621, 35641, 16395, 17049, 18833, 16390, 16467, 25139, 16785, 18248, 16397, 16385, 16604, 16385, 18105, 16732, 17132, 16763, 31971, 16384, 16385, 16604, 16385, 16423, 22775, 16414, 16385, 16604, 16385, 30572, 17348, 16384, 16385, 16604, 16385, 30572, 16384, 16385, 16604, 16385, 44970, 16395, 16912, 19546, 20301, 16868, 19031, 16384, 16385, 16604, 16385, 20201, 16854, 16384, 16385, 16604, 16385, 20201, 16854, 16384, 16385, 16604, 16385, 30572, 16384, 16385, 16604, 16385, 18543, 16932, 16397, 16385, 16604, 16385, 23002, 18389, 16868, 16846, 22829, 16397, 16385, 16604, 16385, 18313, 16969, 16641, 29896, 16395, 16728, 16390, 16466, 16804, 16994, 16931, 16912, 30554, 16397, 16385, 16604, 16385, 23002, 25801, 47845, 34798, 17257, 24448, 16641, 17015, 17441, 16397, 16385, 16604, 16385, 18001, 17208, 16807, 18365, 16721, 17441, 17262, 16414, 16385, 16604, 16385, 23744, 16980, 16732, 16958, 16672, 16641, 41860, 16395, 16687, 17363, 16843, 16390, 16467, 17967, 17072, 16732, 17120, 16807, 24054, 16672, 16641, 17378, 24613, 16809, 16641, 20367, 16815, 16641, 55749, 17613, 16929, 17930, 16390, 16467, 16807, 16641, 21226, 23949, 16397, 16385, 16604, 16385, 18867, 16763, 16397, 16397, 20957, 16397, 16397, 16385, 16604, 16385, 18001, 16390, 16683, 16703, 29561, 16397, 16385, 16604, 16385, 16420, 16455, 16414, 16385, 16604, 16385, 16853, 16977, 17418, 16704, 16641, 21966, 19540, 16397, 16385, 16604, 16385, 20088, 18067, 16811, 17724, 16703, 16397, 16385, 16604, 16385, 34759, 16641, 23949, 16395, 16733, 17333, 18776, 16665, 16647, 20017, 20776, 16397, 16385, 16604, 16385, 23744, 16647, 17378, 16733, 35549, 16763, 22423, 16395, 19585, 16414, 16385, 16604, 16385, 19231, 16998, 18960, 16395, 17121, 16390, 16467, 18021, 16969, 19423, 16734, 17047, 16672, 16888, 17563, 17244, 16397, 16385, 16604, 16385, 16434, 20056, 16397, 16385, 16604, 16385, 16436, 19932, 16397, 16397, 16385, 16604, 16385, 16424, 16763, 24462, 17072, 16732, 16958, 18045, 17135, 16858, 16721, 16397, 16397, 16397, 16385, 16604, 16385, 18105, 19668, 16671, 16647, 19146, 16414, 16385, 16604, 16385, 27064, 16384, 16385, 16604, 16385, 16423, 16990, 16397, 16397, 16397, 24765, 16709, 16641, 18943, 16384, 16385, 16604, 16385, 21127, 16769, 16732, 35714, 16848, 16397, 16397, 16385, 16604, 16385, 17409, 16763, 41673, 16397, 16385, 16604, 16385, 16420, 16455, 16414, 16385, 16604, 16385, 19537, 19728, 16671, 17882, 17653, 19540, 16647, 29896, 16671, 16854, 16671, 16762, 17228, 16448, 16397, 16385, 16604, 16385, 16424, 17134, 16397, 16385, 16604, 16385, 18571, 17132, 16732, 16969, 17310, 33690, 19011, 16414, 16385, 16604, 16385, 16424, 17727, 16390, 16467, 17704, 16732, 16715, 16728, 16397, 16385, 16604, 16385, 17409, 16390, 16466, 19655, 16395, 16732, 17121, 16390, 16467, 16807, 16671, 19492, 16715, 16848, 16397, 16385, 16604, 16385, 21519, 54343, 16397, 16397, 16850, 16397, 16397, 16397, 16385, 16604, 16385, 24067, 16397, 16385, 16604, 16385, 25226, 16732, 17031, 16721, 16732, 17417, 56138, 16709, 16728, 16397, 16385, 16604, 16385, 16424, 16807, 16992, 22869, 17608, 24237, 16395, 16859, 16671, 16848 ]
[ 0, 16696, 25802, 16409, 16604, 16400, 16405, 16396, 16401, 16399, 16404, 16403, 16405, 16650, 32785, 16409, 16604, 16399, 16399, 16404, 16400, 16403, 16402, 16399, 16405, 16405, 16401, 16408, 16696, 26318, 16409, 16604, 16400, 16650, 26316, 61366, 16409, 16604, 16399, 16400, 16398, 16400, 16401, 16398, 16401, 16399, 16400, 16407, 16582, 16582, 16582, 16582, 16582, 16696, 16696, 17681, 20084, 21857, 44896, 42576, 18311, 58088, 16435, 21256, 21337, 23054, 42737, 16582, 16696, 16696, 16696, 16696, 24635, 20084, 16773, 21520, 21421, 16719, 20678, 59208, 18317, 16582, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 18303, 18644, 19758, 16673, 39967, 16582, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16650, 62542, 16757, 32638, 16582, 16582, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 19084, 16397, 16604, 16400, 16405, 16396, 16401, 16399, 16404, 16403, 16405, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 55726, 18525, 16582, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 19160, 16604, 16400, 16401, 16395, 16604, 16401, 16399, 16400, 16407, 16582, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16650, 16790, 18416, 16762, 16397, 42071, 16718, 16582, 16438, 24381, 39168, 16396, 16434, 57629, 39168, 53071, 41492, 20146, 34603, 49943, 49353, 16395, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16418, 17976, 16458, 16582, 16582, 16696, 16696, 16696, 48167, 16604, 16396, 18501, 22126, 16452, 24167, 16396, 20323, 17182, 16795, 16582, 16582, 16469, 16397, 16582, 16582, 25189, 18092, 25189, 16762, 16397, 16908, 41144, 16423, 16395, 16582, 16582, 16696, 16696, 16696, 56176, 16604, 16396, 59167, 16795, 24167, 16396, 20323, 22126, 16452, 16582, 16582, 16582, 16582, 16582, 16696, 16696, 16696, 16696, 20323, 16452, 17229, 16815, 16647, 18303, 18644, 21599, 19758, 16582, 16696, 16696, 16696, 16696, 16696, 16715, 16647, 24310, 21599, 16673, 20830, 16582, 16582, 16582, 25379, 21727, 24011, 47795, 16395, 33776, 16433, 19926, 16395, 16674, 16702, 57629, 16438, 31662, 16395, 32638, 56515, 16397, 16582, 17879, 24011, 47795, 16395, 32638, 27735, 16409, 16582, 16696, 16650, 17635, 17843, 25290, 16641, 42039, 16929, 40640, 16641, 22624, 16658, 16715, 16647, 32662, 16673, 17567, 16582, 37641, 39033, 16397, 21043, 16908, 17384, 16455, 21889, 16647, 26652, 29058, 16672, 16582, 16979, 16457, 18164, 16734, 16641, 17446, 16396, 63884, 16396, 40152, 17913, 16395, 16674, 21994, 16396, 54394, 16582, 27413, 20111, 19403, 20433, 53339, 16647, 17913, 16397, 18916, 16647, 50560, 22243, 16665, 16582, 16645, 16647, 26592, 25079, 16395, 21994, 18173, 32580, 16709, 16647, 19329, 16674, 40640, 16908, 17384, 16455, 16397, 16582, 16696, 16650, 16853, 20991, 19124, 22546, 16641, 25371, 21459, 16395, 17494, 17492, 18385, 32606, 16395, 16674, 16582, 16448, 17241, 16665, 21994, 16991, 16850, 16804, 16858, 16673, 17073, 19001, 21497, 16673, 31313, 16397, 22646, 16908, 17384, 16455, 16582, 16770, 21994, 43044, 16397, 18916, 44419, 17181, 22652, 18707, 16395, 16742, 19774, 16758, 16674, 16582, 18292, 16770, 16715, 30273, 23354, 16734, 16811, 20834, 16397, 16582, 16584, 16696, 26795, 16409, 16604, 16400, 16405, 16396, 16401, 16399, 16404, 16403, 16405, 16696, 16696, 32785, 16409, 16604, 16399, 16399, 16404, 16400, 16403, 16402, 16399, 16405, 16405, 16401, 16408, 16696, 16696, 26318, 16409, 16604, 16401, 16696, 23537, 61366, 16409, 16604, 16399, 16400, 16398, 16400, 16401, 16398, 16401, 16399, 16400, 16407, 16582, 16582, 16582, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16650, 17933, 16397, 16604, 16400, 16405, 16396, 16401, 16399, 16404, 16403, 16405, 16582, 16582, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16650, 16424, 16397, 16696, 48420, 26517, 35049, 16582, 16696, 16650, 34264, 16908, 17384, 16455, 16674, 19922, 60422, 16604, 16391, 41022, 21762, 16392, 37216, 17292, 16582, 43543, 16396, 54394, 20851, 20111, 19403, 20433, 16604, 16391, 16657, 24030, 22786, 16392, 16671, 25285, 16647, 16582, 40152, 16673, 16604, 16894, 17347, 21265, 24235, 16395, 16900, 16641, 27826, 24853, 19680, 16671, 16703, 19789, 16672, 16582, 57132, 16395, 20830, 16397, 16908, 17384, 16455, 16674, 60422, 22257, 17567, 32771, 16396, 34244, 29472, 16582, 17756, 16647, 20380, 16673, 43902, 21406, 16409, 42011, 20406, 61943, 16395, 32171, 16410, 42011, 20406, 16711, 51246, 28331, 16395, 16582, 19046, 16418, 16410, 16674, 42011, 20406, 37133, 16395, 16790, 16397, 16431, 16397, 16772, 43902, 29472, 17177, 30316, 17142, 25079, 16582, 20563, 21994, 16397, 16772, 21588, 24653, 16665, 16647, 25079, 16672, 16811, 22305, 16671, 44415, 16582, 17347, 17654, 20627, 17205, 16448, 19251, 17654, 18960, 16715, 16647, 17827, 38457, 23009, 16674, 16641, 18846, 16582, 23178, 16715, 16647, 16922, 38457, 23009, 16397, 16582, 16696, 16650, 22397, 16395, 42011, 20406, 61943, 16395, 32171, 16395, 16944, 18939, 20071, 16671, 16647, 21265, 24235, 19329, 16395, 16582, 52605, 16647, 32782, 39838, 29018, 16674, 16641, 24284, 18006, 17110, 17029, 20131, 16582, 16391, 16644, 32890, 16671, 39576, 16741, 16647, 16604, 16894, 53710, 39838, 16900, 16392, 16672, 22134, 16715, 16582, 16387, 16401, 16401, 16395, 16406, 16402, 16407, 16395, 16399, 16399, 16399, 16397, 16772, 21588, 30316, 16647, 32782, 39838, 16809, 16641, 44279, 16673, 19956, 16715, 16582, 17347, 21265, 24235, 19329, 16397, 22872, 16395, 42011, 20406, 16711, 51246, 28331, 16395, 24887, 16674, 42011, 20406, 37133, 16395, 16582, 16427, 16397, 16431, 16397, 21889, 16647, 18418, 21491, 63325, 39838, 29018, 16674, 16641, 24284, 18006, 17110, 17029, 16582, 29266, 16604, 16391, 16644, 32890, 16671, 39576, 16741, 16647, 16604, 16894, 20237, 21491, 63325, 39838, 16900, 16392, 16672, 22134, 16715, 16582, 16387, 16405, 16395, 16400, 16402, 16408, 16395, 16401, 16399, 16399, 16397, 16772, 45759, 16715, 16647, 18418, 21491, 63325, 39838, 16704, 47112, 16395, 17134, 40840, 16604, 25660, 16738, 16397, 16402, 16395, 16582, 19840, 16647, 23009, 22593, 35138, 16647, 45759, 16763, 16641, 40261, 16673, 16604, 16400, 16399, 16399, 16388, 16673, 16647, 16582, 41965, 17461, 17654, 16672, 42011, 20406, 16711, 51246, 28331, 16395, 24887, 16674, 16604, 16400, 16399, 16399, 16388, 16673, 16647, 22962, 16582, 29667, 16672, 42011, 20406, 37133, 16395, 16790, 16397, 16431, 16395, 16944, 18226, 38619, 16715, 16604, 16400, 16399, 16399, 16388, 16673, 16647, 16582, 18835, 20753, 17654, 16672, 42011, 20406, 61943, 16395, 32171, 16397, 16772, 23009, 29058, 17492, 16582, 24420, 16665, 16641, 20830, 20100, 16396, 17663, 16396, 23098, 33863, 16397, 16604, 16400, 16582, 16696, 16650, 21758, 16395, 16908, 17384, 16455, 21889, 17567, 18741, 39033, 16397, 19833, 16395, 16908, 17384, 16455, 30025, 16582, 17347, 21622, 17131, 16647, 32782, 39838, 16604, 16391, 17347, 16604, 16894, 53710, 53889, 17906, 16900, 16392, 16397, 22872, 16395, 16582, 16582, 16582, 16582, 16696, 16650, 16400, 16650, 16772, 21588, 18242, 33891, 17490, 23009, 29058, 16672, 19223, 18989, 18402, 16671, 16811, 29844, 16397, 16582, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16650, 16401, 16582, 16584, 16696, 25802, 16409, 16604, 16400, 16405, 16396, 16401, 16399, 16404, 16403, 16405, 16696, 16650, 30687, 16409, 16604, 16399, 16399, 16404, 16400, 16403, 16402, 16399, 16405, 16405, 16401, 16408, 16696, 16696, 26318, 16409, 16604, 16402, 16696, 26316, 61366, 16409, 16604, 16399, 16400, 16398, 16400, 16401, 16398, 16401, 16399, 16400, 16407, 16582, 16582, 16582, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 17933, 16397, 16604, 16400, 16405, 16396, 16401, 16399, 16404, 16403, 16405, 16582, 16582, 16426, 17384, 16455, 30025, 16647, 21622, 17131, 16647, 18418, 21491, 63325, 39838, 16604, 16391, 17347, 16604, 16894, 20237, 21491, 63325, 16582, 24122, 21292, 17906, 16900, 16392, 16397, 22646, 39033, 18613, 53543, 16908, 17384, 16455, 16743, 16466, 22526, 16673, 16604, 16391, 16400, 16392, 16582, 29447, 20597, 16410, 16604, 16391, 16401, 16392, 17446, 22510, 23532, 16410, 16604, 16391, 16402, 16392, 16819, 18292, 18731, 19307, 35673, 16410, 16674, 16582, 16391, 16403, 16392, 24615, 16743, 16466, 23609, 42066, 16809, 21994, 16397, 24229, 16395, 16908, 17384, 16455, 30025, 26829, 16582, 17663, 16647, 17913, 16604, 16391, 17347, 16604, 16894, 65422, 53889, 17906, 16900, 16392, 16395, 16785, 16922, 22365, 16395, 16604, 16391, 16400, 16392, 21443, 16582, 31492, 16673, 16647, 21265, 24235, 16410, 16604, 16391, 16401, 16392, 22526, 16673, 21800, 16674, 18224, 23609, 16410, 16604, 16391, 16402, 16392, 22526, 16582, 17663, 20882, 17030, 59161, 16410, 16604, 16391, 16403, 16392, 24595, 16673, 16647, 21265, 24235, 17714, 16897, 17000, 16410, 16674, 16604, 16391, 16404, 16392, 16582, 46088, 16673, 24615, 16743, 16466, 23609, 42066, 16809, 21994, 16397, 22371, 26652, 25287, 16667, 16582, 51880, 20100, 16396, 17663, 16396, 23098, 33863, 16397, 16582, 16696, 16650, 18301, 18932, 16604, 16400, 16405, 16674, 16604, 16400, 16406, 16395, 16604, 16401, 16399, 16399, 16408, 16395, 21994, 18630, 16647, 50560, 16674, 16908, 17384, 16455, 41344, 16582, 17663, 22243, 16709, 16647, 17142, 25079, 16395, 31779, 16667, 23505, 16671, 58225, 16647, 22395, 18443, 16674, 42461, 16582, 16736, 22243, 18167, 22560, 17919, 16397, 17813, 19137, 16604, 16400, 16400, 16395, 16604, 16401, 16399, 16399, 16408, 16395, 21994, 23736, 20865, 16673, 16582, 16861, 23512, 16725, 16673, 16647, 39855, 16397, 16772, 18211, 17634, 16395, 21994, 18173, 32580, 16709, 16647, 16582, 41965, 17461, 22251, 30316, 16809, 16647, 18418, 21491, 63325, 39838, 16395, 24469, 16647, 16582, 29667, 16466, 16395, 16674, 18200, 18123, 16673, 16647, 19329, 16397, 30382, 16395, 16672, 19293, 16604, 16401, 16399, 16399, 16408, 16395, 21994, 16582, 17167, 32580, 16709, 16647, 21265, 24235, 19302, 16674, 24469, 16647, 19329, 16715, 16604, 16387, 16400, 16407, 16395, 16399, 16399, 16399, 16395, 16399, 16399, 16399, 16397, 16582, 43543, 17177, 25330, 16671, 18293, 20960, 16673, 16647, 21265, 24235, 16674, 42066, 16582, 16469, 25492, 20079, 16672, 18045, 16859, 16397, 16582, 16696, 16650, 17071, 18850, 16604, 16401, 16399, 16400, 16399, 16395, 21994, 32787, 22526, 16815, 16908, 17384, 16455, 16397, 24586, 17202, 16582, 52247, 16395, 16709, 18850, 16604, 16401, 16405, 16395, 16604, 16401, 16399, 16400, 16402, 16395, 21994, 40640, 16908, 17384, 16455, 16715, 32662, 16673, 16647, 39033, 16395, 16582, 24867, 16661, 31313, 16715, 16647, 46823, 21775, 16673, 16647, 25079, 16395, 17498, 16396, 17167, 30543, 16582, 31492, 20079, 16395, 27198, 16673, 20960, 16897, 17000, 16395, 46823, 20597, 16582, 47639, 55125, 16395, 46823, 19329, 23532, 16395, 16819, 18292, 18731, 19307, 35673, 16395, 16674, 24615, 16743, 16466, 16582, 16996, 16659, 16397, 16604, 16401, 21994, 20164, 17310, 24615, 16743, 16466, 23609, 16671, 31319, 33491, 17311, 16604, 16391, 17756, 39888, 16672, 16647, 16582, 16582, 16582, 16696, 16650, 16401, 17544, 35053, 23185, 16395, 16811, 20834, 16868, 20430, 16671, 21994, 16743, 16466, 21144, 16741, 16604, 16391, 16400, 16392, 16647, 16582, 53710, 53889, 17906, 18385, 16410, 16604, 16391, 16401, 16392, 16647, 18418, 21491, 63325, 53889, 17906, 18385, 16410, 16674, 16604, 16391, 16402, 16392, 16647, 17265, 43198, 16582, 24122, 21292, 17906, 18385, 16397, 16582, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16402, 16582, 16584, 16696, 26795, 16409, 16604, 16400, 16405, 16396, 16401, 16399, 16404, 16403, 16405, 16696, 16650, 30687, 16409, 16604, 16399, 16399, 16404, 16400, 16403, 16402, 16399, 16405, 16405, 16401, 16408, 16696, 16696, 26318, 16409, 16604, 16403, 16696, 23537, 61366, 16409, 16604, 16399, 16400, 16398, 16400, 16401, 16398, 16401, 16399, 16400, 16407, 16582, 16582, 16582, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 19084, 16397, 16604, 16400, 16405, 16396, 16401, 16399, 16404, 16403, 16405, 16582, 16582, 17167, 30543, 16674, 63765, 40894, 16392, 16395, 43097, 21893, 16604, 16389, 33461, 16604, 16391, 17756, 39888, 16672, 16647, 16582, 17167, 30543, 16674, 19359, 24030, 33659, 16392, 16395, 16674, 16965, 17029, 16466, 16395, 16702, 17105, 16395, 61332, 16395, 16674, 18718, 16954, 16582, 16391, 17756, 31590, 16647, 17875, 33659, 16674, 23656, 16392, 16397, 16772, 20991, 19124, 18939, 16641, 16582, 52560, 21459, 16674, 21946, 23806, 16673, 17551, 16674, 32458, 16673, 17780, 16397, 16582, 16696, 16650, 16853, 19124, 18939, 16858, 17567, 16673, 21994, 16743, 16466, 32662, 16396, 17663, 16396, 19788, 21292, 17906, 21144, 16958, 16582, 18489, 16697, 16397, 16772, 19124, 17177, 17494, 28971, 16709, 17492, 18385, 16674, 25011, 21994, 16582, 16387, 16401, 16395, 16404, 16402, 16406, 16395, 16404, 16405, 16400, 16397, 16406, 16407, 16715, 16647, 46823, 21622, 17131, 16647, 17142, 25079, 16604, 16391, 45739, 18883, 16647, 18020, 16673, 16582, 17347, 19329, 16392, 16395, 16674, 16604, 16387, 16400, 16395, 16402, 16399, 16405, 16395, 16400, 16406, 16406, 16397, 16403, 16403, 16715, 46823, 16897, 17000, 16395, 19329, 23532, 16395, 19307, 16582, 24199, 16786, 17283, 16395, 16674, 20597, 43944, 16397, 17403, 16647, 19124, 26358, 21994, 16641, 23587, 16582, 43271, 16798, 16673, 17073, 16604, 16387, 16408, 16401, 16404, 16395, 16408, 16404, 16405, 16672, 24615, 16743, 16466, 23609, 16604, 16402, 16674, 16858, 16673, 17073, 16604, 16387, 16405, 16400, 16408, 16395, 16408, 16407, 16400, 16672, 16582, 21428, 16396, 17167, 30543, 20960, 20079, 16397, 16582, 16696, 16650, 16426, 17384, 16455, 43044, 16395, 24809, 16647, 21106, 16744, 17365, 16673, 21994, 16743, 16466, 19001, 21144, 16397, 16582, 18111, 21994, 19532, 16396, 51970, 19949, 16395, 24809, 16647, 36327, 16673, 17073, 24615, 16743, 16466, 23609, 16674, 16582, 21428, 16396, 17167, 30543, 20960, 20079, 16397, 16582, 16696, 16696, 16696, 16696, 16696, 16696, 20448, 16397, 16696, 17904, 23849, 28006, 21256, 64444, 16582, 16696, 16650, 17071, 16647, 25369, 16673, 16641, 25371, 21459, 16395, 16604, 16894, 24168, 17017, 16673, 17551, 16769, 28112, 16715, 18271, 20341, 16582, 16770, 19675, 18707, 16769 ]
[ 0, 27709, 16809, 18586, 34732, 16715, 17072, 16671, 20774, 16672, 22291, 46215, 22090, 16397, 17170, 16704, 21047, 16809, 16647, 16876, 16397, 16434, 16397, 18490, 39770, 16390, 16466, 22316, 26464, 22698, 31123, 16715, 16914, 27139, 36840, 19567, 16397, 27139, 36840, 16704, 18065, 16728, 21229, 16715, 17009, 18693, 26863, 16671, 18212, 16671, 20774, 16672, 22291, 46215, 22090, 16397, 19253, 16767, 16409, 20774, 41802, 16397, 20258, 16397, 24992, 16582, 16582, 39934, 16409, 16401, 16403, 17853, 16604, 16401, 16399, 16400, 16403, 16582, 16582, 29248, 16409, 16402, 16407, 16404, 16404, 16404, 16582, 16582, 33786, 17072, 16671, 16969, 18358, 16734, 22291, 46215, 22090, 16397, 31573, 16647, 19289, 16395, 34354, 16647, 20774, 16395, 19514, 16715, 23402, 16395, 16674, 27084, 16641, 20774, 19521, 16397, 16582, 16582, 39934, 16409, 16401, 16402, 18657, 16604, 16401, 16399, 16400, 16400, 16582, 16582, 29248, 16409, 16404, 16401, 16405, 16402, 16399, 16582, 16582, 27715, 46215, 22090, 16704, 16641, 22213, 51048, 20774, 16673, 16647, 17394, 16721, 17120, 28312, 20521, 42465, 16397, 19020, 16409, 16398, 16398, 18409, 16397, 23141, 40738, 21956, 16397, 18431, 16582, 56667, 16671, 61032, 33599, 16409, 19562, 16409, 16398, 16398, 19286, 16397, 16697, 16398, 16400, 36713, 55687, 16419, 16464, 16582, 24647, 16907, 16709, 61032, 16390, 16466, 20692, 19242, 16582, 19597, 16409, 16398, 16398, 18409, 16397, 34163, 16397, 17070, 16398, 30871, 33879, 16582, 33348, 16907, 16709, 61032, 16390, 16466, 21614, 22982, 16582, 19597, 16409, 16398, 16398, 28760, 16397, 17070, 16398, 16418, 36077, 27077, 16582, 19597, 16409, 16398, 16398, 28760, 16397, 17070, 16398, 16418, 36077, 16582, 16582, 39934, 16409, 16401, 16399, 21596, 16604, 16401, 16399, 16400, 16404, 16582, 16582, 29248, 16409, 16402, 16407, 16407, 16404, 16582, 16582, 32129, 16912, 20609, 16709, 16647, 20774, 16734, 22291, 46215, 22090, 16397, 17170, 30929, 20634, 16732, 16671, 20206, 18642, 16641, 20447, 23308, 16709, 21827, 16397, 47314, 16679, 17177, 36545, 24284, 16604, 16402, 16419, 26034, 16809, 59766, 16604, 16401, 16419, 17586, 16815, 16647, 22291, 46215, 22090, 23355, 16397, 16582, 16582, 39934, 16409, 16399, 16400, 21596, 16604, 16401, 16399, 16400, 16405, 16582, 16582, 29248, 16409, 16408, 16399, 16404, 16404, 16407, 16582, 16582, 17635, 18677, 18937, 16858, 23314, 17494, 16672, 16647, 17788, 17671, 21429, 20774, 27084, 16397, 16772, 37496, 16734, 28988, 28267, 16672, 16647, 18343, 22954, 18222, 18901, 16397, 16772, 18901, 17382, 16975, 17030, 16604, 16401, 16404, 16404, 32559, 19863, 18422, 20939, 16785, 20554, 16397, 20779, 37496, 16807, 17390, 16462, 20918, 16922, 28988, 17032, 20939, 19528, 16397, 16582, 16582, 39934, 16409, 16400, 16406, 23032, 16604, 16401, 16399, 16400, 16405, 16582, 16582, 29248, 16409, 16407, 16405, 16404, 16407, 16582, 16582, 18313, 16969, 18358, 16395, 17693, 17030, 16671, 17671, 40738, 21956, 16397, 18431, 16604, 16397, 17664, 16671, 16843, 18725, 16667, 18375, 16395, 16674, 17298, 18065, 20774, 19029, 16674, 57097, 17262, 17915, 16397, 20353, 20654, 16384, 16582, 16582, 16416, 21695, 25651, 16709, 22006, 23043, 16671, 22291, 46215, 22090, 16395, 16647, 17953, 16674, 17520, 20753, 20774, 16673, 16647, 17394, 16397, 57036, 16769, 16917, 16673, 16647, 17154, 21221, 17578, 16732, 16843, 17188, 16671, 22291, 46215, 22090, 16604, 16391, 16770, 16873, 16390, 16644, 17174, 17441, 16384, 16392, 16582, 27458, 16647, 17745, 16673, 16647, 17142, 16396, 28993, 34732, 22733, 17348, 16409, 20782, 16409, 16398, 16398, 18409, 16397, 30091, 16397, 17070, 16398, 18396, 19950, 16414, 19950, 16412, 23004, 16449, 16408, 16404, 16399, 16405, 16446, 16396, 16405, 34492, 16423, 16441, 16402, 16461, 17069, 16408, 16643, 16755, 16402, 16471, 16457, 16432, 49100, 16434, 16464, 16400, 16455, 16429, 16582, 20505, 16734, 62630, 16384, 28237, 27406, 16674, 17177, 16647, 25142, 16671, 17928, 26348, 16397, 16582, 36041, 16907, 17188, 16922, 26348, 16384, 19562, 16409, 16398, 16398, 16707, 19161, 16397, 18431, 16398, 16652, 16398, 53210, 16398, 16458, 16440, 35377, 16400, 16469, 36718, 16405, 16404, 16406, 16398, 23212, 16398, 30241, 16396, 16448, 16396, 32722, 16396, 16928, 16396, 23141, 40738, 21956, 16398, 16582, 16582, 17071, 16811, 26765, 16687, 16868, 17299, 16732, 17072, 16671, 22156, 26559, 16428, 17586, 16672, 17695, 16422, 18629, 16674, 18725, 16641, 19378, 16396, 17955, 20774, 16672, 19109, 17655, 16647, 34671, 19445, 16428, 24714, 16396, 16642, 16397, 16582, 18001, 16868, 18212, 17072, 16671, 16582, 19631, 48857, 16672, 16667, 22291, 46215, 22090, 22450, 16582, 19631, 35918, 16641, 16604, 16397, 16786, 16460, 19471, 16673, 16647, 18124, 16732, 17137, 16582, 19631, 23890, 34671, 19445, 16428, 24714, 16396, 16642, 16671, 18725, 16912, 27280, 27440, 16582, 19631, 49263, 28641, 16671, 16912, 20774, 16582, 17894, 17259, 16673, 16732, 16807, 18666, 16715, 16647, 22565, 18953, 22456, 16687, 17405, 16672, 16647, 18677, 16395, 17348, 16769, 16647, 22728, 16582, 19597, 16409, 16398, 16398, 42310, 16397, 25034, 16397, 17070, 16398, 20142, 16398, 16451, 16398, 16399, 16417, 16403, 16399, 16439, 16396, 16456, 16423, 16408, 16416, 16400, 18347, 16449, 16399, 16433, 16459, 16441, 18144, 23100, 16402, 16433, 19577, 20628, 16398, 17481, 16414, 35508, 16412, 45202, 16582, 19597, 16409, 16398, 16398, 42310, 16397, 25034, 16397, 17070, 16398, 20142, 16398, 16451, 16398, 16399, 16417, 16403, 16399, 16439, 16396, 16456, 16423, 16408, 16416, 16400, 18347, 24701, 17288, 16438, 27356, 16469, 16429, 16399, 16429, 22113, 16422, 16450, 16398, 17481, 16414, 35508, 16412, 45202, 16582, 16582, 39934, 16409, 16399, 16405, 17853, 16604, 16401, 16399, 16400, 16404, 16582, 16582, 29248, 16409, 16402, 16400, 16401, 16406, 16399, 16582, 16582, 21376, 27472, 16673, 16641, 16604, 16402, 16419, 20774, 23540, 20471, 16815, 26559, 16428, 17586, 16397, 17485, 17056, 16704, 16641, 18122, 17015, 16673, 25728, 16395, 23693, 63206, 42618, 16674, 22763, 16849, 16714, 16672, 21515, 16397, 26400, 49538, 16769, 16804, 23874, 17172, 16873, 16769, 32965, 21627, 16397, 16582, 59722, 33468, 16674, 20436, 39407, 18528, 16809, 19677, 17876, 16722, 44784, 17584, 20892, 33379, 16682, 27937, 40026, 17959, 32122, 62077, 25728, 16582, 34238, 16809, 17648, 30291, 53984, 46704, 16642, 19020, 16409, 16398, 16398, 43139, 16396, 16465, 18072, 16397, 17094, 16582, 16582, 51873, 17032, 16647, 20774, 19302, 16395, 16647, 17586, 23540, 16809, 16647, 22291, 46215, 22090, 17913, 16769, 19570, 17073, 20618, 21425, 16397, 16772, 17586, 16769, 17177, 18125, 16715, 17231, 16672, 17490, 20839, 21003, 16395, 16945, 17073, 26742, 16809, 25077, 62154, 16395, 16830, 20875, 18111, 16395, 18649, 17139, 18975, 16395, 27139, 40517, 22291, 16395, 16832, 23801, 29311, 20052, 16395, 16674, 16773, 18018, 16784, 16953, 16671, 21176, 20521, 42465, 16395, 16674, 16922, 26701, 24128, 16945, 31960, 22243, 17586, 19618, 16734, 34130, 45430, 16397, 17170, 17586, 16807, 16992, 18507, 19066, 42154, 19739, 16734, 40071, 29898, 18470, 16395, 17891, 17586, 18950, 35177, 24278, 16397, 16582, 16582, 49525, 20774, 16582, 16582, 16416, 19159, 20774, 16785, 22955, 20774, 16704, 16641, 20774, 16721, 24203, 29714, 26031, 16674, 20734, 22728, 18661, 17032, 19588, 40760, 17624, 16397, 16999, 16704, 16641, 18383, 16673, 62264, 17194, 20774, 16721, 25662, 19497, 19052, 28847, 16674, 31349, 16395, 18065, 16728, 17027, 16641, 18383, 16673, 19052, 20774, 16397, 16875, 18150, 16671, 26031, 16674, 28847, 16395, 19159, 26034, 18143, 18379, 18842, 16673, 17654, 16395, 17274, 16741, 27418, 20911, 16785, 23043, 16395, 29567, 21186, 16395, 29786, 16674, 36761, 22288, 16395, 29113, 16674, 25512, 16395, 16741, 17204, 16741, 40301, 16674, 20934, 25958, 16397, 16711, 19159, 20774, 17123, 17027, 19730, 17975, 16396, 56954, 29619, 32194, 29957, 16395, 20290, 18143, 17213, 16769, 17494, 17097, 16709, 32194, 26034, 16397, 16582, 16582, 31630, 16582, 16582, 16853, 16759, 21989, 16396, 29046, 18137, 35260, 20774, 16704, 16647, 28556, 18365, 20774, 16673, 16604, 16391, 16448, 17015, 16673, 16392, 18540, 35620, 16672, 17073, 19170, 17510, 16397, 16999, 16704, 16641, 34405, 16673, 16641, 20774, 24772, 21396, 16641, 30969, 22459, 16673, 16641, 29907, 16809, 16641, 23048, 31049, 16672, 16655, 16397, 16604, 16401, 16402, 16404, 22992, 16397, 16999, 44688, 18295, 28781, 18184, 16647, 42840, 22784, 16673, 16647, 19899, 24840, 16397, 16582, 16582, 46215, 27139, 16582, 16582, 46215, 27139, 16704, 16667, 30296, 16673, 17009, 24121, 35159, 16815, 16772, 24085, 17139, 16983, 29180, 16397, 28207, 16671, 16604, 16404, 16395, 16399, 16399, 16399, 26787, 16395, 16647, 19578, 16704, 16914, 17092, 17608, 16604, 16401, 16399, 16399, 16399, 16390, 16466, 17996, 17602, 18101, 23912, 16671, 16703, 19425, 20206, 17891, 16914, 19289, 17714, 16647, 27303, 16673, 16641, 18156, 22451, 16397, 16582, 16582, 38663, 22696, 16671, 35563, 16914, 17718, 24121, 32171, 16395, 16667, 21456, 16671, 16914, 19289, 16672, 19118, 16604, 16401, 16399, 16399, 16408, 22130, 16721, 17135, 18613, 24025, 16395, 16647, 17718, 32171, 16604, 16385, 39902, 16891, 16671, 16703, 16641, 21187, 17009, 17585, 16673, 21674, 16395, 16734, 19382, 16917, 18875, 16815, 20076, 27139, 16397, 16385, 16875, 18810, 16604, 16401, 16399, 16400, 16399, 16395, 18919, 16395, 16728, 16763, 20085, 16721, 17028, 21674, 17494, 16709, 20076, 27139, 16961, 20732, 16709, 16647, 24581, 19895, 16397, 18101, 28051, 16875, 16772, 52303, 16763, 19688, 16672, 18936, 16397, 16582, 16582, 16853, 30296, 17027, 21998, 16917, 21216, 19688, 24025, 16397, 16604, 16385, 16416, 57198, 37499, 16385, 16763, 23644, 18125, 16709, 16647, 27248, 42134, 16604, 16390, 26614, 17000, 16882, 16390, 16672, 16604, 16401, 16399, 16399, 16399, 16397, 16772, 19458, 16872, 16992, 16691, 16396, 20070, 20684, 16715, 16811, 19578, 16397, 16582, 16582, 33786, 17674, 17999, 27139, 16672, 22291, 46215, 22090, 16582, 16582, 27709, 16809, 18586, 34732, 16715, 17072, 16671, 20774, 16672, 22291, 46215, 22090, 16397, 17170, 16704, 21047, 16809, 16647, 16876, 16397, 16434, 16397, 18490, 39770, 16390, 16466, 22316, 26464, 22698, 31123, 16715, 16914, 27139, 36840, 19567, 16397, 27139, 36840, 16704, 18065, 16728, 21229, 16715, 17009, 18693, 26863, 16671, 18212, 16671, 20774, 16672, 22291, 46215, 22090, 16397, 19253, 16767, 16409, 20774, 41802, 16397, 20258, 16397, 24992, 16582, 16582, 16408, 16409, 16404, 16402, 16582, 16582, 61502, 22291, 46215, 22090, 16604, 16400, 16604, 16396, 32809, 52678, 16604, 16396, 64047, 16604, 16396, 22785, 22097, 16871, 16582, 16582, 61502, 22291, 46215, 22090, 16604, 16400, 16604, 16396, 32809, 52678, 16604, 16396, 64047, 16604, 16396, 22785, 22097, 16871, 16582, 16582, 61502, 22291, 46215, 22090, 16604, 16400, 16604, 16396, 32809, 52678, 16604, 16396, 64047, 16604, 16396, 22785, 22097, 16871, 16582, 16582, 33786, 17072, 16671, 16969, 18358, 16734, 22291, 46215, 22090, 16397, 31573, 16647, 19289, 16395, 34354, 16647, 20774, 16395, 19514, 16715, 23402, 16395, 16674, 27084, 16641, 20774, 19521, 16397, 16582, 16582, 16404, 16409, 16400, 16404, 16582, 16582, 27715, 46215, 22090, 16409, 16772, 20774, 16721, 34716, 19261, 16604, 16475, 61032, 19639, 16582, 16582, 27715, 46215, 22090, 16409, 16772, 20774, 16721, 34716, 19261, 16604, 16475, 61032, 19639, 16582, 16582, 27715, 46215, 22090, 16409, 16772, 20774, 16721, 34716, 19261, 16604, 16475, 61032, 19639, 16582, 16582, 27715, 46215, 22090, 16704, 16641, 22213, 51048, 20774, 16673, 16647, 17394, 16721, 17120, 28312, 20521, 42465, 16397, 19020, 16409, 16398, 16398, 18409, 16397, 23141, 40738, 21956, 16397, 18431, 16582, 56667, 16671, 61032, 33599, 16409, 19562, 16409, 16398, 16398, 19286, 16397, 16697, 16398, 16400, 36713, 55687, 16419, 16464, 16582, 24647, 16907, 16709, 61032, 16390, 16466, 20692, 19242, 16582, 19597, 16409, 16398, 16398, 18409, 16397, 34163, 16397, 17070, 16398, 30871, 33879, 16582, 33348, 16907, 16709, 61032, 16390, 16466, 21614, 22982, 16582, 19597, 16409, 16398, 16398, 28760, 16397, 17070, 16398, 16418, 36077, 27077, 16582, 19597, 16409, 16398, 16398, 28760, 16397, 17070, 16398, 16418, 36077, 16582, 16582, 16401, 16409, 16402, 16399, 16582, 16582, 33316, 41007, 16409, 52720, 16604, 16396, 23890, 22291, 46215, 22090, 16582, 16582, 33316, 41007, 16409, 52720, 16604, 16396, 23890, 22291, 46215, 22090, 16582, 16582, 33316, 41007, 16409, 52720, 16604, 16396, 23890, 22291, 46215, 22090, 16582, 16582, 32129, 16912, 20609, 16709, 16647, 20774, 16734, 22291, 46215, 22090, 16397, 17170, 30929, 20634, 16732, 16671, 20206, 18642, 16641, 20447, 23308, 16709, 21827, 16397, 47314, 16679, 17177, 36545, 24284, 16604, 16402, 16419, 26034, 16809, 59766, 16604, 16401, 16419, 17586, 16815, 16647, 22291, 46215, 22090, 23355, 16397, 16582, 16582, 16400, 16399, 16409, 16399, 16402, 16582, 16582, 27715, 46215, 22090, 28988, 18496, 16604, 16401, 16399, 16399, 16405, 16396, 16401, 16399, 16400, 16405, 16582, 16582, 27715, 46215, 22090, 28988, 18496, 16604, 16401, 16399, 16399, 16405, 16396, 16401, 16399, 16400, 16405, 16582, 16582, 27715, 46215, 22090, 28988, 18496, 16604, 16401, 16399, 16399, 16405, 16396, 16401, 16399, 16400, 16405, 16582, 16582, 17635, 18677, 18937, 16858, 23314, 17494, 16672, 16647, 17788, 17671, 21429, 20774, 27084, 16397, 16772, 37496, 16734, 28988, 28267, 16672, 16647, 18343, 22954, 18222, 18901, 16397, 16772, 18901, 17382, 16975, 17030, 16604, 16401, 16404, 16404, 32559, 19863, 18422, 20939, 16785, 20554, 16397, 20779, 37496, 16807, 17390, 16462, 20918, 16922, 28988, 17032, 20939, 19528, 16397, 16582, 16582, 16405, 16409, 16402, 16404, 16582, 16582, 18571, 16671, 28929, 22291, 46215, 22090, 16397, 16711, 18730, 22047, 16604, 16398, 34732, 16397, 16582, 16582, 18571, 16671, 28929, 22291, 46215, 22090, 16397, 16711, 18730, 22047, 16604, 16398, 34732, 16397, 16582, 16582, 18571, 16671, 28929, 22291, 46215, 22090, 16397, 16711, 18730, 22047, 16604, 16398, 34732, 16397, 16582, 16582, 18313, 16969, 18358, 16395, 17693, 17030, 16671, 17671, 40738, 21956, 16397, 18431, 16604, 16397, 17664, 16671, 16843, 18725, 16667, 18375, 16395, 16674, 17298, 18065, 20774, 19029, 16674, 57097, 17262, 17915, 16397, 20353, 20654, 16384, 16582, 16582, 23930, 51122, 44307, 21560, 16466, 16409, 50064, 16641, 18843, 16671, 22291, 46215, 22090, 16582, 16582, 16416, 21695, 25651, 16709, 22006, 23043 ]
[ 0, 16386, 16910, 37060, 16396, 16464, 16450, 16604, 16401, 16399, 16400, 16399, 16396, 16400, 16400, 16396, 16399, 16407, 16582, 16411, 16428, 17080, 16699, 17456, 16413, 18917, 16744, 16784, 16390, 16720, 16752, 18250, 16656, 16819, 23625, 25457, 16462, 23326, 16984, 20368, 16644, 16641, 17334, 16737, 16819, 21071, 16713, 16604, 16414, 54404, 16395, 16702, 42774, 16395, 32162, 16395, 23617, 16699, 16395, 26633, 16395, 16819, 48956, 16774, 32075, 16951, 28981, 16397, 16397, 16397, 16604, 16414, 16604, 16582, 16411, 34442, 60920, 16413, 33964, 61042, 27814, 16582, 16411, 16464, 24225, 18135, 16402, 16401, 16403, 16403, 16401, 16413, 16858, 16462, 32075, 16827, 54747, 16582, 16411, 16428, 17080, 16699, 17456, 16413, 18917, 16744, 16784, 16390, 16720, 16752, 18250, 16656, 16819, 23625, 25457, 16462, 23326, 16984, 20368, 16644, 16641, 17334, 16737, 16819, 21071, 16713, 16604, 16414, 54404, 16395, 16702, 42774, 16395, 32162, 16395, 23617, 16699, 16395, 26633, 16395, 16819, 48956, 16774, 32075, 16951, 28981, 16397, 16397, 16397, 16604, 16414, 16604, 16582, 16411, 17094, 19125, 21210, 16413, 35173, 16699, 17456, 16409, 26168, 17774, 19630, 16937, 37180, 16827, 16810, 31211, 30232, 17774, 16776, 20342, 18704, 16827, 16669, 51088, 16848, 19878, 17212, 16670, 16390, 35578, 16646, 16819, 16604, 16390, 57969, 16713, 16390, 17605, 16901, 41870, 44122, 17750, 24494, 16670, 16390, 16974, 30592, 30683, 17001, 16795, 16582, 16411, 17094, 19125, 21210, 16413, 35173, 16699, 17456, 16409, 29724, 17087, 26061, 35282, 47309, 16655, 16390, 16765, 16937, 30592, 16510, 16485, 16466, 19493, 39207, 16774, 41870, 16827, 16604, 16385, 17793, 16396, 16825, 16385, 16582, 16411, 17094, 19125, 21210, 16413, 17605, 17126, 16792, 30592, 30683, 16453, 30592, 30683, 17643, 16604, 16409, 20782, 16409, 16398, 16398, 27550, 16397, 16910, 37060, 16397, 17070, 16398, 16400, 16399, 16397, 16399, 16403, 16398, 27379, 45057, 16398, 16418, 16398, 21190, 16397, 20813, 16582, 16411, 16428, 17080, 16699, 17456, 16413, 20773, 20141, 16845, 16604, 16409, 16392, 16582, 16411, 17094, 19125, 21210, 16413, 16827, 33785, 25858, 17630, 16776, 16735, 18769, 38040, 16604, 16582, 16411, 16428, 17080, 16699, 17456, 16413, 20773, 17203, 16397, 16397, 16397, 16397, 19630, 16848, 16810, 16656, 38305, 63816, 16644, 16641, 19124, 23326, 18393, 24452, 17630, 19897, 16790, 33954, 16395, 16824, 16390, 18017, 16604, 16401, 16952, 26746, 16774, 16604, 16407, 16399, 34479, 16664, 16656, 19656, 16901, 16641, 17116, 16656, 16994, 16452, 16604, 16400, 17605, 16827, 35194, 17351, 16686, 16390, 16688, 17905, 25165, 55832, 55832, 19245, 16967, 16397, 16397, 16397, 16397, 16604, 16409, 16392, 18855, 16450, 16395, 17144, 16669, 17795, 20401, 16656, 16670, 30592, 30683, 18689, 21699, 16397, 16397, 16397, 16604, 16582, 16411, 16428, 17080, 16699, 17456, 16413, 16655, 16390, 16765, 29724, 16819, 21071, 16713, 35031, 17658, 24452, 24138, 17745, 16452, 24531, 63461, 19244, 16646, 17331, 16827, 16604, 18135, 17267, 19125, 21210, 16604, 16414, 16604, 16582, 16411, 17094, 19125, 21210, 16413, 16653, 21031, 16395, 16824, 16390, 18017, 23086, 20850, 16943, 20845, 17331, 22273, 17197, 24452, 16848, 16648, 17118, 23326, 16827, 16693, 16396, 21576, 17605, 44122, 26746, 20331, 17296, 16582, 16411, 16427, 29250, 16465, 16413, 25165, 21542, 58622, 16670, 16390, 16720, 21071, 16713, 35031, 33964, 25660, 16448, 23326, 17745, 16646, 19244, 16646, 16397, 16582, 16411, 17094, 19125, 21210, 16413, 16790, 29250, 16465, 16409, 20176, 16797, 16395, 31174, 16655, 16390, 16765, 33964, 25660, 16448, 18704, 19630, 19493, 16656, 59890, 16669, 30592, 63063, 17484, 16604, 16409, 16392, 16582, 16411, 16427, 29250, 16465, 16413, 20365, 20723, 20837, 18061, 17439, 16473, 54377, 17745, 16452, 24531, 63461, 29051, 18872, 16582, 16411, 16428, 17080, 16699, 17456, 16413, 16790, 29250, 16465, 16395, 19630, 16810, 16656, 17331, 16819, 34995, 24452, 16848, 16810, 16656, 29051, 19630, 16776, 25100, 62605, 16395, 19630, 16829, 16656, 16685, 16390, 21478, 16879, 16644, 16604, 16409, 16392, 17605, 59890, 19630, 16848, 57694, 16452, 42662, 16730, 16641, 26154, 16395, 19656, 16848, 16947, 17750, 16819, 33616, 16604, 16409, 16392, 16604, 16582, 16411, 16428, 17080, 16699, 17456, 16413, 17265, 17484, 23326, 49658, 22206, 41777, 19107, 16670, 16390, 16436, 16449, 37060, 16604, 16409, 16392, 16604, 16582, 16411, 28709, 58450, 16413, 22327, 52820, 16384, 16582, 16386, 16910, 37060, 16396, 16464, 16450, 16604, 16401, 16399, 16400, 16399, 16396, 16400, 16400, 16396, 16399, 16408, 16582, 16411, 16422, 17161, 16462, 25925, 16413, 25126, 16909, 16729, 16582, 16411, 16427, 29250, 16465, 16413, 23625, 16909, 16729, 16582, 16411, 16422, 17161, 16462, 25925, 16413, 16832, 16390, 18017, 22735, 16649, 30592, 30683, 17605, 16824, 16390, 18017, 16653, 16910, 17151, 30592, 30683, 16774, 41870, 23086, 46550, 16690, 63992, 16774, 25240, 17547, 32085, 16604, 16409, 16391, 16650, 16432, 19158, 16784, 16390, 16720, 16604, 25255, 16669, 16390, 16962, 17905, 17121, 16461, 30592, 30683, 16819, 63765, 18318, 16819, 18758, 16776, 16735, 18769, 38040, 17605, 16901, 41084, 30592, 25660, 25100, 23326, 16984, 20368, 16644, 60556, 31174, 16824, 16390, 18017, 18923, 17080, 17151, 30592, 30683, 16827, 21204, 16397, 16604, 16582, 16411, 16422, 17161, 16462, 25925, 16413, 25059, 17630, 16648, 30592, 30683, 17603, 16465, 30592, 30683, 16901, 24748, 30592, 30683, 17018, 16659, 16827, 20711, 17605, 55832, 58068, 16582, 16411, 16427, 29250, 16465, 16413, 25209, 16582, 16411, 16427, 29250, 16465, 16413, 54377, 20365, 25457, 16786, 16604, 16409, 16431, 16582, 16411, 22971, 16978, 16867, 16413, 31377, 17630, 16827, 16848, 19012, 16713, 18758, 16774, 16792, 30592, 30683, 16453, 30592, 30683, 17643, 16582, 16411, 22971, 16978, 16867, 16413, 16796, 17161, 16462, 25925, 16409, 16604, 16582, 16411, 16422, 17161, 16462, 25925, 16413, 16832, 16390, 18017, 16670, 30592, 30683, 16457, 30592, 18331, 16703, 31178, 17192, 16774, 19730, 49553, 31174, 18393, 18758, 33964, 30683, 16467, 17905, 17331, 16467, 16833, 16670, 30592, 30683, 24337, 30592, 30683, 33964, 18331, 18393, 19125, 24452, 31265, 17126, 23052, 16774, 17942, 33964, 18331, 31751, 37060, 16397, 16397, 16397, 16582, 16411, 22971, 16978, 16867, 16413, 16796, 17161, 16462, 25925, 16409, 32192, 18051, 19125, 41870, 19897, 32493, 29051, 19897, 21967, 16582, 16411, 16422, 17161, 16462, 25925, 16413, 63105, 16582, 16411, 22971, 16978, 16867, 16413, 20773, 16604, 16582, 16411, 22971, 16978, 16867, 16413, 16796, 17161, 16462, 25925, 16409, 24138, 16741, 24531, 63461, 16827, 16816, 16657, 16744, 23326, 16640, 16390, 28316, 30592, 30683, 16397, 52120, 24138, 16989, 19125, 42616, 16858, 30592, 30683, 24179, 17126, 18771, 31751, 37060, 16396, 20544, 16397, 18431, 16937, 30592, 16510, 16485, 16466, 38040, 17794, 21261, 16582, 16411, 22971, 16978, 16867, 16413, 19562, 16409, 16398, 16398, 21606, 16397, 16910, 37060, 16396, 20544, 16397, 18431, 16398, 17094, 19840, 16795, 16582, 16411, 16422, 17161, 16462, 25925, 16413, 16830, 21031, 20141, 16845, 31174, 19630, 16827, 49616, 17905, 16670, 30592, 30683, 16457, 30592, 18331, 16395, 16824, 16390, 39611, 30592, 30683, 28411, 16901, 16691, 18178, 27816, 16819, 16901, 17612, 16748, 17478, 31174, 19630, 16776, 25100, 38438, 16797, 18068, 24386, 20093, 16646, 17815, 17351, 33964, 18331, 18393, 19125, 16951, 19904, 33964, 30683, 18876, 17538, 16901, 16685, 45811, 18393, 16859, 16729, 16685, 30592, 18331, 16397, 16397, 16397, 16582, 16411, 22971, 16978, 16867, 16413, 16670, 30592, 30683, 42157, 30592, 30683, 16582, 16411, 16422, 17161, 16462, 25925, 16413, 16719, 16390, 16765, 25165, 21447, 19493, 17406, 16397, 16397, 16397, 16582, 16411, 16422, 17161, 16462, 25925, 16413, 52120, 21168, 19630, 16864, 16848, 63235, 16801, 25165, 16395, 18051, 16401, 16451, 39527, 18816, 17905, 33964, 18331, 17126, 22094, 16582, 16411, 16422, 17161, 16462, 25925, 16413, 36340, 16395, 20141, 16845, 59890, 16669, 30592, 63063, 17484, 16397, 16397, 16397, 16582, 16411, 22971, 16978, 16867, 16413, 16796, 17161, 16462, 25925, 16409, 21168, 24138, 18236, 16680, 17100, 17331, 39447, 18771, 27360, 16452, 16774, 16848, 17126, 41870, 64652, 16644, 16582, 16411, 22971, 16978, 16867, 16413, 17087, 17058, 17307, 18704, 16899, 16664, 19066, 16654, 16848, 17341, 16948, 16582, 16411, 16422, 17161, 16462, 25925, 16413, 16719, 16390, 30592, 30683, 16467, 17905, 17126, 16848, 19012, 16865, 29076, 23326, 16670, 30592, 30683, 19840, 16795, 18704, 16824, 16390, 18017, 16937, 16663, 16469, 30592, 30683, 17605, 16655, 16390, 16765, 17126, 16783, 18332, 23168, 19630, 16686, 16390, 18017, 25165, 16774, 18825, 16855, 16397, 16397, 16397, 16582, 16411, 16690, 16401, 16451, 39527, 16413, 19562, 16409, 16398, 16398, 18135, 56862, 16397, 16910, 37060, 16397, 17070, 16398, 16401, 16399, 16400, 16399, 16398, 16400, 16400, 16398, 16399, 16408, 16398, 16388, 16401, 16402, 16910, 37060, 16396, 16464, 16450, 16397, 20813, 16582, 16411, 16690, 16401, 16451, 39527, 16413, 17470, 39920, 16774, 18393, 18177, 18622, 16452, 16397, 16397, 16397, 16582, 16411, 16428, 17080, 16699, 17456, 16413, 16719, 16395, 16765, 16827, 18758, 19897, 36251, 16796, 17161, 16837, 16668, 16582, 16411, 16690, 16401, 16451, 39527, 16413, 25059, 17630, 17015, 16456, 16582, 16411, 16428, 17080, 16699, 17456, 16413, 16829, 16455, 16582, 16411, 16690, 16401, 16451, 39527, 16413, 16719, 16390, 16765, 18911, 44769, 18704, 17126, 16783, 18332, 21178, 49067, 18704, 16824, 16390, 18017, 30520, 16937, 27816, 17331, 16799, 17311, 16472, 16655, 16390, 16765, 16819, 16726, 29829, 23326, 56575, 16582, 16411, 16428, 17080, 16699, 17456, 16413, 16719, 16390, 16765, 16951, 28981, 16799, 17311, 16472, 16604, 16414, 16582, 16411, 16690, 16401, 16451, 39527, 16413, 16604, 53817, 16397, 17070, 16582, 16411, 16428, 17080, 16699, 17456, 16413, 16796, 17161, 16462, 25925, 16395, 24138, 30370, 17042, 16827, 30552, 22862, 36251, 16604, 16409, 16392, 16604, 16582, 16411, 16428, 17080, 16699, 17456, 16413, 19562, 16409, 16398, 16398, 18409, 16397, 16466, 17292, 19740, 19647, 16397, 17070, 16582, 16411, 16690, 16401, 16451, 39527, 16413, 16796, 17161, 16462, 25925, 16409, 18251, 16644, 18686, 16395, 20365, 37840, 18393, 18393, 18177, 33351, 17331, 16604, 18135, 56862, 16397, 16910, 37060, 16397, 17070, 16582, 16411, 16690, 16401, 16451, 39527, 16413, 16794, 16746, 17706, 16409, 19562, 16409, 16398, 16398, 18409, 16397, 53817, 16397, 17070, 16398, 19950, 16661, 16398, 16404, 16408, 16404, 16403, 16406, 16408, 16400, 16399, 16398, 16910, 37060, 16396, 16460, 17323, 16825, 16396, 22141, 18161, 16396, 47387, 16396, 16684, 28539, 16396, 17094, 18336, 16414, 18452, 16412, 37027, 16446, 60376, 16446, 16404, 16389, 18517, 16446, 24953, 16446, 24109, 16412, 16910, 37060, 16389, 18517, 16446, 24953, 16446, 18926, 16412, 20739, 27410, 16389, 18517, 16446, 22713, 16412, 16389, 19434, 16412, 16389, 57608, 16442, 16399, 16444, 16412, 36492, 16389, 57608, 16442, 16400, 16444, 16412, 23718, 16389, 27568, 16442, 16399, 16444, 16412, 20739, 27410, 16582, 16411, 16690, 16401, 16451, 39527, 16413, 16653, 22142, 16397, 16397, 16397, 16582, 16411, 16690, 16401, 16451, 39527, 16413, 19562, 16409, 16398, 16398, 18135, 56862, 16397, 16910, 37060, 16397, 17070, 16398, 16401, 16399, 16400, 16399, 16398, 16400, 16400, 16398, 16399, 16408, 16398, 16388, 16401, 16402, 16910, 37060, 16396, 16464, 16450, 16397, 20813, 16582, 16411, 16428, 17080, 16699, 17456, 16413, 32253, 23326, 16827, 49903, 17272, 16774, 30734, 16655, 16390, 16765, 22206, 19562, 16409, 16398, 16398, 18409, 16397, 16466, 17292, 19740, 19647, 16397, 17070, 16398, 16467, 28745, 17272, 16396, 16402, 16396, 16400, 16401, 16407, 16401, 16406, 16396, 23554, 16473, 16396, 16677, 16396, 19048, 28853, 16396, 16448, 16396, 16459, 16396, 16448, 16870, 16396, 17094, 16396, 51951, 16397, 20813, 16582, 16411, 16422, 17161, 16462, 25925, 16413, 16830, 21031, 16655, 16390, 16765, 33964, 25660, 16448, 20141, 16845, 16384, 16384, 16384, 16582, 16411, 16428, 17080, 16699, 17456, 16413, 38305, 16852, 25100, 16729, 16604, 16409, 16392, 16582, 16411, 16422, 17161, 16462, 25925, 16413, 63148, 57138, 16456, 30592, 16510, 16485, 16644, 18283, 16604, 16391, 64985, 18393, 16859, 16729, 16392, 16395, 16824, 16390, 23270, 17146, 31751, 37060, 16604, 16400, 16399, 16397, 16399, 16403, 19847, 18566, 23881, 17605, 19630, 16937, 37180, 16685, 16390, 38600, 16776, 16735, 18769, 38040, 19493, 16943, 17605, 60318, 16839, 16461, 22126, 31174, 38789, 16641, 16819, 16670, 30592, 30683, 16453, 18081, 18704, 16824, 16390, 18000, 23109, 16656, 17496, 16465, 21357, 16395, 16827, 19426, 17795, 16774, 16660, 16995, 16686, 16390, 16765, 25165, 33964, 30683, 16451, 20753, 16397, 16832, 16390, 18017, 16937, 16663, 16469, 30592, 30683, 18393, 16845, 35031, 20075, 16604, 16409, 20782, 16409, 16398, 16398, 27550, 16397, 16910, 37060, 16397, 17070, 16398, 44398, 16398, 16436, 16449, 37060, 24555, 18566, 20582, 17019, 16398, 45764, 16422, 16461, 16838, 31915, 31174, 16824, 16390, 18000, 23109, 16656, 16899, 50999, 21168, 19656, 16712, 42180, 17905, 16819, 16669, 17456, 16652, 16774, 36333, 16646, 16685, 16390, 16861, 17089, 22206, 50246, 50440, 16838, 16397, 16582, 16411, 16422, 17161, 16462, 25925, 16413, 18917, 19187, 33964, 18331, 16686, 16390, 16962, 24386, 16951, 16390, 16720, 19426, 17795, 16774, 16660, 16995, 24179, 50440, 16838, 16397, 16582, 16411, 17094, 19125, 21210, 16413, 16796, 17161, 16462, 25925, 16409, 21168, 19630, 16884, 24176, 38040, 20365, 17399, 24349, 16395, 19656, 16648, 16390, 16750, 16654, 16670, 16390, 23270, 22537, 16827, 50246, 50440, 16838, 19749, 16395, 31174, 16901, 16827, 17374, 16736, 20536, 23326, 16951, 16390, 16724, 16641, 16654, 17087, 60318, 16839, 16666, 16654, 30592, 30683, 16466, 62615, 19248, 22206, 50246, 19847, 18566, 16397, 16397, 16397, 16582, 16411, 16422, 17161, 16462, 25925, 16413, 32253, 18704, 18393, 17669, 23109, 16640, 16396, 16724, 21168, 19630, 16810, 16656, 39447, 29274, 30592, 30683, 16451, 16865, 17605, 18704, 16852, 16698, 16835, 16395, 19630, 22064, 16670, 16390, 16782, 19086, 16827, 50246, 16908, 22370, 16397, 16604, 16582, 16411, 16422, 17161, 16462, 25925, 16413, 42860, 16397, 16397, 16397, 16604, 16400, 17414, 16582, 16411, 16422, 17161, 16462, 25925, 16413, 23802, 19630, 16864, 16884, 20368, 25165, 20365, 21580 ]
[ 0, 38194, 16582, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16582, 16582, 26895, 33163, 16673, 16647, 39124, 16604, 16393, 18971, 17800, 16730, 16393, 16769, 30046, 16672, 17490, 16647, 24795, 16674, 24310, 33342, 27530, 36457, 16674, 16769, 17889, 22539, 16673, 33042, 45205, 16604, 16391, 16442, 16415, 18452, 16396, 16406, 16408, 16444, 16410, 16604, 16442, 16415, 18452, 16396, 16405, 16407, 16444, 16410, 16604, 16442, 16415, 18452, 16396, 16404, 16400, 16444, 16392, 16397, 19162, 33163, 16769, 16641, 16660, 18683, 16690, 20969, 16673, 18650, 39534, 16674, 20936, 18020, 24278, 16734, 20741, 19378, 16673, 16604, 16400, 16397, 16401, 16428, 42494, 16604, 16391, 16442, 16415, 18452, 16396, 16401, 16403, 16444, 16410, 16604, 16442, 16415, 18452, 16396, 16402, 16406, 16444, 16410, 16604, 16442, 16415, 18452, 16396, 16407, 16399, 16444, 16392, 16397, 30470, 16671, 16914, 24052, 16396, 41369, 27592, 16674, 16648, 16782, 17269, 16395, 16873, 17027, 17156, 16667, 17889, 18814, 16741, 40254, 17000, 17035, 16715, 29746, 16674, 16977, 21958, 19029, 16604, 16391, 25784, 26362, 22363, 18698, 16392, 16672, 33042, 19147, 16604, 16391, 16442, 16415, 18452, 16396, 16400, 16400, 16444, 16410, 16604, 16442, 16415, 18452, 16396, 16400, 16406, 16444, 16392, 16397, 42955, 19415, 16673, 39515, 23593, 16477, 16401, 16477, 28189, 16647, 19629, 16673, 16669, 18498, 16730, 23076, 16671, 33901, 35658, 64204, 16395, 16944, 16704, 22009, 16715, 18843, 16674, 27187, 43018, 16604, 16391, 16442, 16415, 18452, 16396, 16406, 16404, 16444, 16392, 16397, 16875, 16669, 18498, 16730, 23076, 18783, 20604, 27579, 16675, 23820, 47618, 16641, 19609, 18898, 16673, 22072, 17274, 16741, 28754, 16647, 24296, 19009, 18370, 16815, 48378, 16674, 21958, 20474, 16395, 53369, 18698, 16395, 16674, 35630, 16673, 30444, 16604, 16391, 16442, 16415, 18452, 16396, 16404, 16401, 16444, 16392, 16397, 16772, 28798, 16704, 16667, 16794, 52096, 30511, 17366, 16903, 16673, 16641, 33822, 21876, 16604, 16391, 18336, 32831, 64204, 16395, 23050, 23934, 16477, 16402, 16477, 38508, 16504, 16408, 16404, 16388, 16392, 16674, 25190, 23776, 16787, 21511, 18699, 16409, 26513, 16395, 29921, 34756, 19526, 17407, 16395, 20932, 44306, 20166, 18302, 16674, 29981, 18145, 16604, 16391, 16442, 16415, 18452, 16396, 16404, 16401, 16444, 16392, 16397, 26274, 17255, 16641, 21600, 22825, 16604, 16391, 16443, 16411, 16404, 16388, 16392, 16395, 26513, 16672, 16647, 28798, 16395, 23541, 16671, 16741, 28798, 25732, 26513, 16604, 16391, 28082, 22776, 16392, 16395, 17123, 17156, 16641, 18474, 18814, 16672, 18783, 22337, 18482, 17873, 17789, 19101, 26080, 16395, 21142, 16725, 16395, 47837, 16674, 20384, 16673, 16647, 20299, 16673, 23050, 23934, 16477, 16402, 16477, 42208, 16604, 16391, 16442, 16415, 18452, 16396, 16404, 16405, 16444, 16392, 16397, 16582, 16582, 19276, 24815, 16673, 16660, 18683, 17537, 30547, 16672, 20241, 16395, 22005, 16674, 38092, 16395, 18745, 16671, 21958, 19527, 16395, 16715, 18185, 16647, 28798, 16673, 16647, 16604, 16393, 18971, 17800, 16730, 17520, 16748, 16656, 16393, 22273, 18250, 59709, 16395, 16604, 16400, 16406, 16404, 16407, 16672, 16647, 17361, 16467, 28321, 23836, 16704, 20939, 16396, 16396, 28290, 16674, 21377, 16395, 17437, 16672, 16647, 17242, 16459, 17075, 23417, 19599, 16395, 17187, 17775, 33163, 16769, 32941, 51396, 16395, 16728, 16704, 24737, 16674, 25446, 16604, 16391, 16442, 16415, 18452, 16396, 16401, 16403, 16444, 16392, 16397, 42502, 47837, 16674, 32622, 16673, 19001, 17775, 33163, 16815, 16647, 39124, 16604, 16393, 18971, 17800, 16730, 16393, 16807, 17027, 16992, 19970, 16734, 40848, 16673, 21958, 19527, 16395, 17274, 16741, 43885, 20286, 16395, 49628, 16675, 19527, 16395, 23160, 19032, 16604, 16391, 16442, 16415, 18452, 16396, 16405, 16408, 16444, 16410, 16604, 16442, 16415, 18452, 16396, 16405, 16399, 16444, 16410, 16604, 16442, 16415, 18452, 16396, 16406, 16400, 16444, 16392, 16397, 16582, 16582, 16853, 17775, 17084, 28798, 16704, 22257, 16809, 16647, 21377, 26893, 57052, 24588, 16395, 16944, 48313, 21243, 16647, 22207, 34600, 16673, 16647, 22270, 16604, 16391, 16442, 16415, 18452, 16396, 16401, 16403, 16444, 16392, 16397, 16772, 57052, 16704, 16641, 19680, 20189, 35710, 16647, 28798, 16395, 16944, 25438, 16673, 19244, 16802, 24588, 16734, 28215, 19465, 45663, 16395, 35176, 24588, 16395, 30444, 16674, 55995, 20662, 16604, 16391, 16442, 16415, 18452, 16396, 16401, 16403, 16444, 16392, 16397, 26367, 16395, 16728, 16872, 16641, 40427, 17917, 16674, 21846, 16641, 18814, 16672, 38764, 27596, 21396, 16647, 16695, 18285, 16674, 16672, 60503, 16661, 42228, 18651, 16395, 22049, 16673, 44595, 32681, 16395, 16672, 25069, 25188, 16768, 18093, 16673, 35801, 16674, 16977, 28937, 16674, 16672, 28798, 25430, 16674, 19134, 16604, 16391, 16442, 16415, 18452, 16396, 16401, 16403, 16444, 16392, 16397, 17999, 21986, 22886, 18783, 22337, 18482, 17873, 24507, 16395, 17030, 16641, 27588, 57052, 29703, 28470, 16807, 16992, 36488, 16715, 17775, 33163, 16604, 16391, 16442, 16415, 18452, 16396, 16400, 16407, 16444, 16410, 16604, 16442, 16415, 18452, 16396, 16404, 16444, 16410, 16604, 16442, 16415, 18452, 16396, 16406, 16407, 16444, 16392, 16395, 16950, 18362, 16604, 16391, 16442, 16415, 18452, 16396, 16408, 16444, 16410, 16604, 16442, 16415, 18452, 16396, 16402, 16444, 16410, 16604, 16442, 16415, 18452, 16396, 16405, 16405, 16444, 16392, 16395, 17184, 16828, 18983, 16604, 16391, 16442, 16415, 18452, 16396, 16405, 16404, 16444, 16410, 16604, 16442, 16415, 18452, 16396, 16406, 16399, 16444, 16392, 16674, 16653, 17165, 16756, 16604, 16391, 16442, 16415, 18452, 16396, 16400, 16403, 16444, 16410, 16604, 16442, 16415, 18452, 16396, 16403, 16405, 16444, 16392, 16397, 18523, 16395, 16986, 21002, 16641, 19744, 16673, 57052, 24588, 29703, 16838, 16815, 16604, 16393, 16428, 16397, 16640, 17591, 35946, 16393, 57345, 16395, 16604, 16400, 16407, 16404, 16399, 16674, 16604, 16393, 16428, 16397, 16816, 16724, 36200, 16393, 16751, 16825, 17169, 16395, 16604, 16400, 16407, 16404, 16403, 16741, 17204, 16741, 22886, 18783, 22337, 18482, 17873, 46815, 16395, 16674, 16914, 41391, 19335, 17989, 16647, 39124, 16604, 16393, 18971, 17800, 16730, 16393, 16397, 16875, 16811, 18077, 16395, 16647, 57052, 29703, 28470, 16673, 16647, 17910, 17775, 17084, 18439, 16448, 16409, 16604, 16393, 16428, 16397, 17520, 16748, 16656, 16393, 16395, 16604, 16393, 16428, 16397, 26846, 16754, 16689, 22141, 17127, 16656, 16393, 51565, 16760, 16395, 16604, 16400, 16407, 16400, 16408, 16396, 16396, 16396, 17347, 35290, 24840, 16674, 62496, 16395, 16604, 16393, 16428, 16397, 16640, 17591, 35946, 16393, 16395, 16604, 16393, 16428, 16397, 16816, 16724, 36200, 16393, 16395, 16958, 36488, 16674, 29781, 17655, 16641, 58093, 45610, 16396, 21219, 16439, 16604, 16403, 16404, 16403, 26048, 16689, 19556, 23062, 17434, 16397, 16772, 20199, 16673, 16647, 17875, 18077, 16763, 17142, 29036, 16409, 16604, 16391, 16400, 16392, 16671, 21986, 46815, 17646, 24759, 19423, 16672, 18783, 22337, 18482, 17873, 16674, 44352, 35781, 16395, 16674, 16604, 16391, 16401, 16392, 16671, 17783, 16641, 41391, 29703, 16838, 19335, 18493, 17476, 18439, 16448, 16673, 16647, 39124, 16604, 16393, 18971, 17800, 16730, 16393, 18138, 16709, 57052, 24588, 16397, 16582, 16582, 16416, 18122, 17679, 16673, 26513, 17646, 24759, 19423, 16672, 18783, 22337, 18482, 17873, 16674, 30195, 39540, 22089, 16958, 21766, 16672, 17476, 16604, 16393, 18971, 17800, 16730, 16393, 18439, 16448, 16397, 17170, 18077, 16704, 16647, 17092, 16671, 17875, 16647, 57052, 24588, 29703, 16838, 16672, 16604, 16393, 16428, 16397, 16640, 17591, 35946, 16393, 16674, 16604, 16393, 16428, 16397, 16816, 16724, 36200, 16393, 16397, 16772, 23540, 17586, 16604, 16391, 28205, 16679, 17679, 16604, 16442, 20714, 16425, 19753, 16403, 16400, 16408, 16403, 16406, 16404, 16444, 16391, 20714, 16425, 19753, 16403, 16400, 16408, 16403, 16406, 16404, 16392, 16392, 17188, 16671, 16647, 20299, 23286, 23355, 16715, 17775, 33163, 16674, 18288, 16647, 17092, 23576, 16673, 16647, 57052, 24588, 17655, 17775, 17084, 29703, 28470, 16815, 17476, 18439, 16448, 16397, 16582, 16582, 65433, 16674, 33486, 16582, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16582, 16582, 27796, 35761, 16674, 26048, 16689, 19556, 23062, 16582, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16582, 16582, 35539, 27319, 16673, 17775, 33163, 16604, 16391, 16393, 18971, 17800, 16730, 16393, 16648, 16780, 16397, 16392, 26489, 17910, 18439, 16448, 16958, 23980, 16815, 18295, 18070, 17186, 16409, 16604, 16393, 16428, 16397, 17520, 16748, 16656, 16393, 16604, 16391, 30076, 24840, 16395, 20421, 16429, 16392, 16395, 16604, 16393, 16428, 16397, 16640, 17591, 35946, 16393, 16604, 16391, 16437, 29404, 16395, 30293, 16437, 16392, 16395, 16604, 16393, 16428, 16397, 26846, 16754, 16689, 22141, 17127, 16656, 16393, 16604, 16391, 24393, 34476, 24840, 16395, 22845, 16428, 16392, 16395, 16604, 16393, 16428, 16397, 26846, 16754, 16689, 22141, 17127, 16656, 16393, 16604, 16391, 16435, 16676, 44034, 16395, 22845, 16435, 16392, 16395, 16604, 16393, 16428, 16397, 16816, 16724, 36200, 16393, 16604, 16391, 17822, 16967, 16395, 16997, 16724, 16392, 16604, 16391, 16442, 22224, 16604, 16400, 16444, 16391, 16386, 22246, 16396, 16400, 16392, 16474, 18452, 16396, 18926, 16412, 16385, 22246, 16385, 16476, 16392, 16397, 17958, 18439, 16448, 16955, 16992, 21766, 16809, 18494, 57850, 51012, 17502, 16604, 16391, 30348, 16431, 16392, 18487, 36722, 16661, 16604, 16391, 16442, 16415, 18452, 16396, 16406, 16408, 16444, 16410, 16604, 16442, 16415, 18452, 16396, 16406, 16402, 16444, 16410, 16604, 16442, 16415, 18452, 16396, 16403, 16399, 16444, 16392, 16397, 44982, 36993, 23461, 16715, 31364, 35761, 16958, 22710, 16673, 17193, 63539, 20837, 18706, 16395, 20096, 16397, 16700, 37083, 32696, 16763, 39233, 18325, 20470, 16409, 35761, 16673, 18804, 31364, 16815, 16647, 20854, 16674, 28405, 57052, 24588, 16815, 17262, 16674, 17939, 17775, 17084, 18194, 16763, 20888, 17655, 16641, 22226, 22310, 17406, 58054, 22686, 30308, 31364, 18475, 16919, 20785, 29699, 16604, 16391, 33680, 16396, 54676, 22837, 16395, 16957, 16397, 22146, 16395, 25890, 16395, 21119, 16392, 18745, 16671, 16647, 28488, 16390, 16466, 25022, 16395, 16734, 21600, 36101, 16397, 24627, 21886, 17873, 16763, 21996, 16891, 16672, 16641, 18306, 27671, 28414, 16673, 16604, 16400, 16399, 16399, 42745, 17572, 16656, 16395, 16604, 16400, 16397, 16403, 16428, 24876, 18747, 16395, 16604, 16401, 16399, 42745, 26625, 22238, 16395, 16604, 16401, 16388, 27789, 20709, 16395, 22036, 16954, 16908, 16604, 16391, 16401, 16399, 26785, 16398, 18953, 16392, 16674, 16604, 16399, 16397, 16399, 16402, 42745, 16604, 16401, 16396, 17043, 52584, 16462, 17078, 32305, 16604, 16391, 16442, 16415, 18452, 16396, 16404, 16403, 16444, 16392, 16397, 20586, 18716, 16958, 25499, 16767, 31949, 16401, 16399, 31694, 16418, 16397, 31364, 23375, 16815, 17142, 16671, 17910, 20470, 16958, 63820, 16715, 17492, 17585, 16672, 21895, 43299, 16671, 17190, 16641, 18804, 16673, 18514, 31883, 16397, 16772, 30421, 16674, 18950, 16673, 18804, 31364, 16763, 21487, 16767, 16604, 16401, 16405, 16399, 34937, 16709, 20338, 46099, 17655, 16667, 23407, 20928, 21907, 46099, 34122, 23476, 16701, 30247, 16604, 16391, 44318, 16435, 17305, 54762, 16395, 53494, 16395, 16762, 18859, 16786, 20411, 16395, 54037, 16395, 21119, 16392, 16674, 28170, 57111, 18896, 16656, 16397, 31364, 28523, 16763, 25865, 17655, 16667, 19088, 16724, 16682, 16604, 16401, 16400, 16399, 16399, 29167, 45678, 22339, 16604, 16391, 21926, 16724, 16682, 30358, 16395, 24657, 42152, 16395, 23279, 16395, 21119, 16392, 16397, 63338, 31883, 16958, 21789, 17655, 16641, 63338, 48487, 23901, 60538, 29699, 16604, 16391, 27208, 17042, 40677, 21209, 16395, 56845, 16395, 31562, 16392, 16674, 26048, 16689, 19556, 23062, 16763, 20888, 16809, 20881, 27909, 19376, 39310, 16725, 16604, 16391, 18621, 19413, 16395, 23571, 16392, 16395, 17655, 58093, 45610, 16396, 21219, 16439, 41102, 17434, 16604, 16391, 27208, 17042, 16395, 56845, 16395, 31562, 16392, 18745, 16671, 28488, 16390, 16466, 26084, 16397, 16582, 16582, 16400, 16399, 16397, 16406, 16406, 16400, 16406, 16398, 48412, 16457, 16397, 16405, 16401, 16403, 16404, 16398, 22246, 16396, 16400, 16582, 16582, 16386, 16386, 16386, 16386, 16386, 16386, 22698, 16931, 17775, 17084, 16604, 16391, 16393, 18971, 17800, 16730, 16393, 16648, 16780, 16397, 16392, 23375, 19618, 16672, 16647, 17875, 18077, 16397, 16582, 16582, 16384, 16442, 16444, 16391, 48412, 16457, 16396, 16399, 16406, 16396, 16405, 16401, 16403, 16404, 16396, 16454, 16399, 16399, 16404, 16392, 16582, 16582, 16650, 23535, 16398, 37166, 17830, 16650, 51483, 16696, 16696, 16696, 16696, 16650, 27316, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 32972, 16673, 32696, 16650, 16604, 16393, 16429, 16393, 16582, 16650, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16604, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16604, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16604, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16604, 16396, 16396, 16396, 16396, 16396, 16582, 16650, 35751, 16429, 16696, 16696, 16696, 16696, 16604, 16393, 16428, 16397, 17520, 16748, 16656, 16393, 16696, 16696, 16696, 16650, 16853, 18827, 24840, 16409, 16772, 16830, 16837, 16756, 17042 ]
[ 0, 16400, 16397, 35453, 16604, 16474, 16386, 19810, 16400, 16396, 18894, 17413, 16396, 16401, 16400, 16396, 16399, 16402, 16408, 16403, 16405, 16476, 16582, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16582, 16582, 37250, 36238, 16754, 50742, 17779, 16604, 16391, 27078, 22776, 16392, 16769, 16641, 17797, 16673, 45480, 16396, 32435, 17291, 16754, 19526, 17779, 21022, 16715, 24588, 62413, 16674, 36991, 16673, 56293, 25732, 16604, 16391, 19234, 16428, 16392, 26513, 16604, 16443, 16442, 16442, 16415, 16417, 16400, 16396, 18894, 17413, 16396, 16401, 16400, 16396, 16399, 16402, 16408, 16403, 16405, 16444, 16443, 16444, 16397, 38311, 22776, 16769, 43601, 17749, 16809, 52263, 19487, 16395, 40723, 24210, 25725, 16395, 51548, 19295, 25355, 16395, 36517, 54644, 16466, 16395, 53318, 16395, 65293, 19952, 16395, 16674, 31136, 34784, 16604, 16443, 16442, 16442, 16415, 16417, 16401, 16396, 18894, 17413, 16396, 16401, 16400, 16396, 16399, 16402, 16408, 16403, 16405, 16444, 16443, 16444, 16397, 38311, 22776, 17797, 21005, 16604, 16401, 16407, 18319, 16395, 16604, 16401, 16402, 16769, 23078, 16672, 18206, 32113, 16674, 16604, 16400, 16403, 16769, 23078, 16672, 45681, 16674, 52955, 16397, 17513, 16769, 30103, 16709, 16647, 20445, 16673, 16914, 49444, 16674, 16647, 20384, 16673, 16914, 28073, 35057, 16604, 16443, 16442, 16442, 16415, 16417, 16402, 16396, 18894, 17413, 16396, 16401, 16400, 16396, 16399, 16402, 16408, 16403, 16405, 16444, 16443, 16444, 16397, 38311, 22776, 17123, 16703, 52570, 16809, 24588, 16674, 26987, 16674, 35223, 41338, 16604, 16443, 16442, 16442, 16415, 16417, 16403, 16396, 18894, 17413, 16396, 16401, 16400, 16396, 16399, 16402, 16408, 16403, 16405, 16444, 16443, 16444, 16397, 23138, 41156, 24588, 41338, 16673, 36238, 16754, 50742, 17779, 16604, 16391, 47434, 22776, 16392, 16769, 24305, 25956, 16672, 17259, 32113, 16674, 34600, 16397, 16875, 16647, 17843, 16673, 26987, 41338, 16395, 16829, 21107, 28501, 16856, 16604, 16391, 16657, 44734, 16392, 21002, 16647, 18494, 38311, 22776, 40582, 16721, 16763, 22782, 16809, 22943, 16674, 30428, 25185, 16604, 16391, 59993, 16392, 16715, 21903, 17231, 16604, 16443, 16442, 16442, 16415, 16417, 16404, 16396, 18894, 17413, 16396, 16401, 16400, 16396, 16399, 16402, 16408, 16403, 16405, 16444, 16443, 16444, 16397, 32951, 20335, 16395, 17628, 17407, 39079, 19723, 21528, 35911, 19938, 16672, 37154, 16395, 17789, 21449, 16709, 32995, 27287, 16721, 22277, 16671, 38311, 22776, 38455, 16397, 16604, 16443, 16442, 16442, 16415, 16417, 16405, 16396, 18894, 17413, 16396, 16401, 16400, 16396, 16399, 16402, 16408, 16403, 16405, 16444, 16443, 16444, 16397, 38311, 22776, 17156, 17889, 18814, 16672, 27187, 40109, 19819, 20189, 16674, 17917, 16395, 16850, 16709, 16647, 16977, 17459, 16395, 16672, 29175, 36632, 62413, 16395, 32981, 19846, 36233, 22585, 46761, 24261, 16674, 46761, 42108, 16604, 16443, 16442, 16442, 16415, 16417, 16406, 16396, 18894, 17413, 16396, 16401, 16400, 16396, 16399, 16402, 16408, 16403, 16405, 16444, 16395, 16442, 16415, 16417, 16407, 16396, 18894, 17413, 16396, 16401, 16400, 16396, 16399, 16402, 16408, 16403, 16405, 16444, 16443, 16444, 16397, 19641, 16768, 39407, 16673, 16727, 23801, 16396, 16401, 16395, 22992, 18759, 21653, 16396, 16400, 16395, 16674, 22992, 18759, 21653, 16396, 16406, 16704, 37033, 16734, 16647, 20808, 25652, 16673, 25917, 23193, 16906, 20062, 16604, 16391, 16418, 24163, 16392, 16395, 25743, 16647, 33651, 39407, 16673, 16727, 23801, 16396, 16400, 16395, 16727, 23801, 16396, 16407, 16395, 16727, 23801, 16396, 16408, 16395, 55093, 18189, 16395, 22992, 18759, 16396, 16400, 16399, 16395, 22992, 18759, 16396, 16400, 16406, 16395, 16674, 22992, 18759, 21653, 16396, 16403, 16704, 20278, 19423, 16672, 20848, 17928, 32126, 16604, 16443, 16442, 16442, 16415, 16417, 16408, 16396, 18894, 17413, 16396, 16401, 16400, 16396, 16399, 16402, 16408, 16403, 16405, 16444, 16443, 16444, 16397, 16582, 16582, 40453, 17228, 19962, 16673, 16727, 23801, 16396, 16406, 16674, 16727, 23801, 16396, 16408, 16763, 21852, 16672, 40768, 44393, 26746, 16395, 16647, 21165, 24588, 20825, 16673, 16727, 23801, 16396, 16408, 16763, 17494, 16672, 44393, 26746, 16673, 43212, 18383, 19739, 16734, 44393, 26746, 16673, 16864, 34804, 19828, 16674, 36612, 16396, 42827, 16802, 20286, 16604, 16443, 16442, 16442, 16415, 16417, 16400, 16399, 16396, 18894, 17413, 16396, 16401, 16400, 16396, 16399, 16402, 16408, 16403, 16405, 16444, 16443, 16444, 16397, 16875, 18150, 16395, 16727, 23801, 16396, 16406, 17120, 24448, 16671, 46761, 42108, 16672, 17378, 16701, 16699, 32981, 19846, 44106, 16395, 24127, 24864, 46351, 16898, 16396, 21670, 27287, 16604, 16443, 16442, 16442, 16415, 16417, 16400, 16400, 16396, 18894, 17413, 16396, 16401, 16400, 16396, 16399, 16402, 16408, 16403, 16405, 16444, 16443, 16444, 16397, 16727, 23801, 16396, 16408, 16704, 16641, 18354, 21191, 58736, 16673, 32981, 19846, 36233, 22585, 46761, 42108, 16672, 24797, 45002, 18544, 20062, 16604, 16391, 20260, 16419, 16392, 18873, 16395, 17187, 16727, 23801, 16396, 16408, 19415, 16769, 34950, 19970, 16734, 16647, 19101, 16673, 16647, 16864, 34804, 19828, 21554, 16673, 45002, 32981, 19846, 36233, 22585, 44393, 26746, 16604, 16443, 16442, 16442, 16415, 16417, 16400, 16401, 16396, 18894, 17413, 16396, 16401, 16400, 16396, 16399, 16402, 16408, 16403, 16405, 16444, 16443, 16444, 16397, 16999, 16763, 19628, 16721, 33651, 16727, 23801, 16396, 16408, 16674, 16647, 16727, 23801, 16396, 16408, 16398, 47434, 16431, 16396, 16400, 16669, 19992, 21844, 17123, 16703, 24141, 16672, 29243, 45002, 29492, 16604, 16391, 54284, 16392, 25928, 16674, 50328, 16397, 16727, 23801, 16396, 16408, 29304, 16672, 33651, 16763, 19970, 16734, 20154, 36632, 24637, 16604, 16443, 16442, 16442, 16415, 16417, 16400, 16402, 16396, 18894, 17413, 16396, 16401, 16400, 16396, 16399, 16402, 16408, 16403, 16405, 16444, 16443, 16444, 16397, 31882, 17605, 16813, 16397, 28020, 32345, 16673, 16727, 23801, 16396, 16408, 16674, 17334, 43283, 20561, 16462, 17676, 17297, 16795, 22036, 16396, 16400, 16604, 16391, 24147, 16431, 16396, 16400, 16392, 29879, 16734, 16647, 35998, 16673, 17378, 16701, 16699, 32981, 19846, 44106, 16395, 18138, 16709, 27615, 16673, 17378, 16701, 16699, 46761, 16674, 17371, 22590, 16396, 16396, 29743, 32622, 16604, 16391, 19806, 16435, 16392, 16397, 28676, 16469, 16895, 33651, 16727, 23801, 16396, 16408, 24734, 16763, 31525, 19970, 16734, 17362, 18804, 17378, 16701, 16699, 40951, 46761, 21228, 16395, 46761, 42108, 16395, 16674, 18122, 16687, 24701, 18020, 16604, 16443, 16442, 16442, 16415, 16417, 16400, 16403, 16396, 18894, 17413, 16396, 16401, 16400, 16396, 16399, 16402, 16408, 16403, 16405, 16444, 16443, 16444, 16397, 32951, 20335, 16395, 17655, 37727, 16727, 23801, 16396, 16408, 41338, 17123, 18288, 17009, 22410, 16671, 47140, 16709, 28377, 16428, 62413, 16672, 23304, 16604, 16443, 16442, 16442, 16415, 16417, 16400, 16404, 16396, 18894, 17413, 16396, 16401, 16400, 16396, 16399, 16402, 16408, 16403, 16405, 16444, 16443, 16444, 16397, 18708, 17586, 23204, 16721, 38311, 22776, 17123, 16703, 57860, 16674, 16807, 16992, 21270, 16741, 19056, 31624, 25749, 16672, 36632, 24720, 16604, 16443, 16442, 16442, 16415, 16417, 16400, 16405, 16396, 18894, 17413, 16396, 16401, 16400, 16396, 16399, 16402, 16408, 16403, 16405, 16444, 16395, 16442, 16415, 16417, 16400, 16406, 16396, 18894, 17413, 16396, 16401, 16400, 16396, 16399, 16402, 16408, 16403, 16405, 16444, 16395, 16442, 16415, 16417, 16400, 16407, 16396, 18894, 17413, 16396, 16401, 16400, 16396, 16399, 16402, 16408, 16403, 16405, 16444, 16443, 16444, 16397, 16582, 16582, 16401, 16397, 38311, 22776, 46680, 16674, 16700, 37083, 43183, 16604, 16474, 16386, 19810, 16401, 16396, 18894, 17413, 16396, 16401, 16400, 16396, 16399, 16402, 16408, 16403, 16405, 16476, 16582, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16582, 16582, 37250, 36238, 16754, 50742, 17779, 16604, 16391, 27078, 22776, 16392, 16769, 51815, 16445, 16401, 16394, 16445, 17291, 17636, 16849, 16699, 17779, 16397, 17513, 21005, 16931, 16604, 16407, 16399, 20286, 16673, 34226, 32245, 16395, 16641, 53215, 36238, 16754, 50742, 16954, 24020, 16604, 16391, 44829, 16931, 16604, 16400, 16406, 16399, 34226, 32245, 16392, 16395, 16641, 26570, 18383, 16673, 16647, 18321, 43940, 16785, 55564, 16396, 34830, 19599, 16673, 24579, 20570, 16674, 16641, 28215, 16754, 17345, 16642, 44117, 24020, 16395, 16734, 16931, 16604, 16401, 16399, 16399, 34226, 32245, 16604, 16443, 16442, 16442, 16415, 16417, 16400, 16408, 16396, 18894, 17413, 16396, 16401, 16400, 16396, 16399, 16402, 16408, 16403, 16405, 16444, 16443, 16444, 16397, 16711, 23208, 16673, 38311, 22776, 16704, 18138, 16709, 16914, 29386, 45732, 16395, 28073, 20384, 16395, 16674, 31395, 20447, 16397, 19912, 16641, 22635, 17411, 16673, 18058, 16395, 16647, 38311, 22776, 18379, 50670, 17779, 16604, 16391, 16428, 23801, 16396, 16400, 16398, 31726, 23315, 16954, 16396, 16400, 16395, 16727, 23801, 16396, 16407, 16398, 31726, 23315, 16954, 16396, 16401, 16395, 16674, 16727, 23801, 16396, 16400, 16402, 16398, 31726, 23315, 16954, 16396, 16402, 16392, 16395, 16726, 22791, 46110, 17407, 16604, 16391, 16428, 23801, 16396, 16402, 16398, 16684, 22791, 16697, 29761, 16396, 16400, 16395, 16727, 23801, 16396, 16400, 16399, 16398, 16684, 22791, 16697, 29761, 16396, 16401, 16395, 16674, 16727, 23801, 16396, 16400, 16400, 16398, 16684, 22791, 16697, 29761, 16396, 16402, 16392, 16395, 28170, 21990, 17779, 16604, 16391, 16428, 23801, 16396, 16401, 16398, 27138, 21990, 16954, 16396, 16416, 16674, 16727, 23801, 16396, 16408, 16398, 27138, 21990, 16954, 16396, 16417, 16392, 16395, 29993, 16396, 18926, 38311, 22776, 17274, 16741, 17333, 24510, 51158, 16727, 23801, 16396, 16400, 16403, 16395, 16727, 23801, 16396, 16400, 16404, 16395, 16727, 23801, 16396, 16400, 16405, 16395, 16727, 23801, 16396, 16401, 16403, 16395, 29993, 16396, 20039, 18290, 16727, 23801, 16396, 16400, 16406, 16395, 16674, 16727, 23801, 16396, 16401, 16404, 16395, 16674, 17782, 16755, 46110, 17407, 16604, 16391, 16428, 23801, 16396, 16406, 16398, 20298, 57130, 29761, 16396, 16400, 16674, 16727, 23801, 16396, 16401, 16405, 16398, 20298, 57130, 29761, 16396, 16401, 16604, 16443, 16442, 16442, 16415, 16417, 16401, 16399, 16396, 18894, 17413, 16396, 16401, 16400, 16396, 16399, 16402, 16408, 16403, 16405, 16444, 16443, 16444, 16604, 16391, 16442, 23236, 16604, 16400, 16444, 16391, 16386, 18894, 17413, 16396, 16401, 16400, 16396, 16399, 16402, 16408, 16403, 16405, 16396, 16453, 16399, 16399, 16400, 16392, 16474, 18452, 16396, 18926, 16412, 16385, 19327, 16385, 16476, 16392, 16397, 16582, 16582, 16853, 16727, 23801, 16396, 16400, 16395, 16727, 23801, 16396, 16401, 16395, 16727, 23801, 16396, 16402, 16395, 16727, 23801, 16396, 16406, 16395, 16674, 16727, 23801, 16396, 16408, 20825, 16763, 17494, 16672, 52263, 19487, 16674, 40723, 24210, 25725, 19487, 16604, 16391, 42796, 24147, 16466, 16392, 16395, 17437, 16727, 23801, 16396, 16400, 16401, 20332, 20825, 16672, 46542, 24147, 16466, 16674, 51548, 19295, 25355, 16604, 16443, 16442, 16442, 16415, 16417, 16401, 16400, 16396, 18894, 17413, 16396, 16401, 16400, 16396, 16399, 16402, 16408, 16403, 16405, 16444, 16443, 16444, 16397, 16727, 23801, 16396, 16400, 16395, 16727, 23801, 16396, 16402, 16395, 16727, 23801, 16396, 16406, 16395, 16727, 23801, 16396, 16408, 16395, 16727, 23801, 16396, 16400, 16402, 16395, 16641, 29993, 16396, 18926, 16604, 16391, 24701, 16392, 38311, 22776, 16395, 34701, 16396, 16428, 23801, 16400, 16395, 16674, 34701, 16396, 16428, 23801, 16402, 16958, 17494, 16672, 16647, 40723, 19819, 16604, 16443, 16442, 16442, 16415, 16417, 16401, 16401, 16396, 18894, 17413, 16396, 16401, 16400, 16396, 16399, 16402, 16408, 16403, 16405, 16444, 16443, 16444, 16397, 28106, 42164, 34784, 16674, 16670, 57493, 51548, 19295, 25355, 16769, 18474, 21331, 16673, 16727, 23801, 16396, 16401, 16395, 25743, 23735, 23768, 16769, 19419, 16673, 16727, 23801, 16396, 16400, 16395, 16727, 23801, 16396, 16401, 16395, 16727, 23801, 16396, 16402, 16395, 16674, 16727, 23801, 16396, 16400, 16403, 16604, 16443, 16442, 16442, 16415, 16417, 16401, 16402, 16396, 18894, 17413, 16396, 16401, 16400, 16396, 16399, 16402, 16408, 16403, 16405, 16444, 16443, 16444, 16604, 16391, 16442, 22224, 16604, 16400, 16444, 16391, 16386, 18894, 17413, 16396, 16401, 16400, 16396, 16399, 16402, 16408, 16403, 16405, 16396, 16467, 16399, 16399, 16400, 16392, 16474, 18452, 16396, 18926, 16412, 16385, 22246, 16385, 16476, 16392, 16397, 16582, 16582, 16402, 16397, 40712, 34117, 54615, 19369, 16741, 38311, 22776, 18246, 25021, 16604, 16474, 16386, 19810, 16402, 16396, 18894, 17413, 16396, 16401, 16400, 16396, 16399, 16402, 16408, 16403, 16405, 16476, 16582, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16582, 16582, 43973, 34117, 48981, 19369, 16604, 16391, 34474, 16466, 16392, 16741, 23820, 43601, 17749, 16809, 19487, 16809, 16647, 17707, 16861, 25653, 22955, 18379, 16794, 53127, 16604, 16391, 16451, 19143, 18104, 18898, 16409, 16604, 16402, 16399, 16396, 16396, 16400, 16399, 16399, 34937, 16392, 16395, 39808, 22585, 23653, 16604, 16391, 16451, 19143, 18104, 18898, 16409, 16604, 16399, 16397, 16400, 16396, 16396, 16400, 44640, 16392, 16395, 20338, 17537, 19369, 16604, 16391, 16428, 36292, 16395, 31351, 18898, 16409, 16604, 16443, 16413, 16604, 16400, 44640, 16392, 16395, 16674, 18122, 16709, 22287, 28470, 16604, 16391, 16451, 19143, 18104, 18898, 16409, 16604, 16400, 16396, 16396, 16400, 16399, 44640, 16392, 16397, 17513, 16769, 19688, 16815, 19487, 16741, 16641, 17539, 16673, 34951, 16673, 16647, 17291, 52453, 16734, 16647, 30285, 29993, 16397, 28977, 16466, 23765, 16672, 17361, 34117, 21318, 16604, 16443, 16442, 16442, 16415, 16417, 16401, 16403, 16396, 18894, 17413, 16396, 16401, 16400, 16396, 16399, 16402 ]
[ 0, 16396, 16396, 16396, 16582, 38841, 16409, 16604, 16390, 36274, 18237, 23905, 16604, 16391, 19445, 47917, 16392, 16769, 50452, 42497, 23377, 16673, 20239, 16858, 17030, 16647, 17394, 16397, 26309, 16641, 19500, 21318, 18691, 26559, 47917, 16769, 46385, 16672, 16641, 20710, 16673, 27802, 16396, 17676, 23357, 16397, 16875, 16811, 19090, 16395, 16742, 17620, 16647, 16604, 16442, 16393, 16717, 16866, 60840, 16393, 16604, 16444, 16474, 16476, 47008, 24291, 16395, 16641, 17009, 18383, 16673, 26559, 16429, 16396, 19338, 24656, 17850, 17187, 42599, 22408, 16674, 31390, 17928, 16647, 17210, 16873, 16769, 26923, 16671, 26559, 16429, 20239, 16671, 50438, 19172, 17329, 16647, 18736, 16785, 19825, 25939, 16397, 25453, 16811, 24291, 16395, 36617, 19554, 16843, 16395, 16715, 18185, 16395, 19825, 48777, 16809, 29692, 19901, 18159, 19014, 17014, 16728, 16704, 16931, 16671, 16703, 55699, 16410, 29799, 18237, 19874, 16671, 23129, 17009, 19014, 17437, 30195, 17596, 18252, 16661, 16641, 55922, 16917, 16410, 19225, 48164, 16674, 19348, 25938, 20474, 16809, 24656, 16661, 16641, 20978, 16671, 16945, 16395, 18236, 22290, 16395, 16785, 19166, 16641, 19906, 16721, 16733, 19601, 16743, 16467, 24709, 16829, 17714, 16998, 31703, 16715, 16647, 24656, 17850, 17989, 16647, 26559, 16429, 16397, 17008, 21378, 20888, 16734, 21109, 20692, 19318, 16673, 21505, 20419, 18937, 16721, 16604, 16391, 16400, 16392, 16604, 16442, 16393, 16717, 16866, 60840, 16393, 16604, 16444, 16474, 16476, 39614, 16843, 17669, 16809, 16647, 55959, 34631, 16809, 21910, 16647, 17210, 16914, 22408, 16769, 26923, 16674, 16604, 16391, 16401, 16392, 24379, 18619, 16829, 16804, 34372, 17415, 19607, 16674, 16604, 16442, 16393, 16717, 16866, 60840, 16393, 16604, 16444, 16474, 16476, 39614, 16397, 17119, 17685, 16647, 26559, 16429, 39791, 16721, 29202, 16647, 16604, 16442, 16393, 16717, 16866, 60840, 16393, 16604, 16444, 16474, 16476, 47008, 16674, 32889, 16641, 17280, 16673, 47875, 25921, 16397, 16390, 16582, 26371, 16409, 16582, 16396, 16604, 16390, 16416, 17115, 16705, 65024, 17323, 16668, 16395, 16702, 41392, 50953, 17272, 16395, 63117, 42876, 16395, 16674, 23946, 16456, 16739, 19740, 16656, 16390, 16582, 16449, 34289, 20147, 16409, 16582, 16396, 16604, 16390, 16644, 21436, 16397, 54690, 16390, 16582, 23718, 16409, 16604, 16390, 16853, 16997, 16866, 60840, 40334, 16409, 17986, 16919, 24329, 32540, 43732, 16672, 24894, 21589, 22723, 16390, 16582, 16396, 16396, 16396, 16582, 16582, 38194, 16604, 16474, 16386, 19810, 16409, 16974, 27929, 16476, 16582, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16582, 16582, 16853, 18211, 26095, 16704, 16804, 16641, 26086, 25651, 16397, 31238, 16395, 16728, 16743, 16466, 16641, 21695, 18185, 16671, 20962, 16647, 22228, 16674, 19056, 19032, 16673, 16647, 30662, 28560, 16395, 21224, 16647, 21263, 17484, 31554, 20101, 16672, 16811, 19090, 16769, 21627, 16397, 16582, 16582, 16443, 16442, 17345, 16409, 16820, 26948, 16443, 16444, 33199, 16641, 29242, 20692, 17498, 21233, 16809, 16641, 17746, 16673, 27233, 16397, 17332, 16807, 16641, 17563, 16671, 17335, 16931, 16647, 17498, 16395, 16850, 16732, 16961, 18661, 17620, 16728, 16672, 17418, 16671, 19825, 31359, 19761, 18693, 16397, 16711, 17589, 17897, 18242, 17014, 16732, 17966, 16734, 16912, 17746, 16931, 16647, 21233, 17498, 16395, 16647, 17746, 17257, 16804, 17967, 17016, 16732, 16743, 16644, 28134, 16671, 16397, 22646, 16673, 16732, 25384, 17181, 16888, 16398, 16761, 34987, 16674, 18530, 19175, 16945, 16721, 17498, 16397, 16772, 17718, 17386, 16732, 17671, 20692, 16674, 23196, 16721, 16672, 16647, 17367, 18817, 18355, 16732, 16807, 21927, 17567, 20692, 19318, 16673, 35964, 17523, 16410, 16732, 27227, 20786, 16709, 16641, 19242, 22965, 16667, 20169, 19052, 17585, 16604, 16391, 34106, 16912, 22408, 16769, 16804, 20206, 19359, 16671, 16647, 24640, 22849, 16986, 16392, 16395, 16674, 16732, 22923, 18295, 26538, 19868, 16671, 18677, 38460, 16734, 17486, 22661, 16397, 16711, 24094, 19580, 16721, 17120, 22479, 16912, 17203, 17830, 18839, 16980, 16732, 16769, 16641, 32234, 17995, 23142, 16384, 16582, 16582, 19231, 16647, 17005, 16673, 32025, 16673, 16811, 19090, 16395, 16647, 35810, 20101, 16672, 37851, 18331, 16443, 16442, 17345, 16409, 16820, 26948, 16443, 16444, 16704, 17363, 18230, 16672, 18166, 18693, 18237, 23905, 16604, 16391, 19445, 47917, 16392, 16604, 16391, 19914, 23728, 18331, 16443, 16442, 19810, 16409, 61437, 17289, 18688, 16443, 16444, 16392, 18443, 16671, 16641, 36828, 17802, 30907, 16397, 16582, 16582, 24794, 16395, 26559, 47917, 16769, 16667, 30804, 17015, 16673, 17038, 19261, 18331, 16442, 16415, 17357, 18802, 16401, 16399, 16399, 16406, 34548, 16444, 16397, 17513, 16769, 21197, 21194, 16715, 39551, 17160, 16395, 22254, 16674, 37425, 17624, 16395, 25608, 16395, 16674, 18541, 18331, 16442, 16415, 43164, 16844, 16401, 16399, 16400, 16399, 28760, 16444, 16410, 16674, 16715, 28704, 25884, 16604, 16442, 16415, 48161, 19173, 16401, 16399, 16399, 16408, 37207, 16661, 16444, 16395, 19104, 16397, 18523, 16395, 26559, 47917, 16769, 17027, 23752, 36176, 16809, 27802, 16450, 19918, 25123, 16929, 38165, 17007, 16715, 42599, 23185, 16395, 17789, 35656, 16674, 47296, 21559, 16604, 16442, 16415, 22506, 16401, 16399, 16400, 16399, 16720, 61037, 16444, 16395, 50117, 18741, 17624, 16604, 16442, 16415, 16449, 21121, 17847, 16453, 16401, 16399, 16400, 16400, 34548, 28068, 16444, 16395, 61681, 16604, 16442, 16415, 16452, 16697, 17323, 16668, 16401, 16399, 16400, 16402, 16455, 27839, 16444, 16395, 16674, 32161, 54964, 16604, 16442, 16415, 16453, 17604, 19161, 16401, 16399, 16400, 16404, 17392, 16919, 18093, 16444, 16397, 16738, 18031, 16395, 26066, 31390, 16395, 16674, 26066, 17624, 16769, 16858, 17204, 16396, 21230, 17184, 16841, 18249, 17255, 59203, 16809, 26559, 16429, 24869, 16395, 22458, 23267, 16395, 16674, 21584, 17473, 16647, 17394, 16734, 19001, 19415, 16673, 18141, 16397, 16999, 16704, 21408, 17889, 16671, 23752, 19834, 16647, 19014, 16673, 18237, 26145, 16674, 18224, 16396, 19667, 16395, 16672, 17970, 16671, 20776, 22661, 16741, 17240, 16741, 18230, 16397, 16582, 16582, 18313, 18288, 16647, 17514, 18230, 18224, 16671, 16914, 20239, 16395, 26559, 47917, 17823, 20239, 16671, 28929, 16785, 29913, 19807, 19014, 18331, 16442, 16415, 34163, 16446, 27550, 16446, 27305, 16446, 21428, 16444, 16395, 28929, 19397, 31390, 16395, 16674, 21456, 17036, 29248, 16673, 24053, 20078, 16395, 19104, 16397, 18708, 19696, 16769, 17889, 16671, 17754, 18237, 19014, 16903, 16671, 19346, 16395, 16671, 19889, 31076, 58747, 16785, 46641, 25477, 16672, 19807, 19014, 16395, 16674, 29670, 38775, 19014, 16397, 26126, 16395, 16873, 17027, 17671, 16667, 19560, 16715, 16641, 35724, 17187, 26559, 16429, 20239, 16769, 24656, 16665, 17065, 27510, 16734, 29344, 34366, 19014, 16721, 16704, 18242, 26252, 16397, 17170, 18383, 16673, 35724, 16704, 39662, 16671, 31208, 16674, 16704, 16891, 16673, 16647, 25174, 16673, 16811, 19090, 16397, 16582, 16582, 35802, 29584, 19480, 16716, 17099, 16647, 18234, 16673, 36101, 17366, 16671, 22408, 17135, 16914, 25425, 16809, 38867, 16667, 31703, 16721, 16641, 17498, 16763, 28267, 16397, 20735, 26559, 47917, 16395, 17274, 16741, 21614, 16785, 26174, 16395, 16829, 16804, 17823, 19807, 22408, 16671, 16703, 28267, 16397, 34316, 16395, 16647, 18166, 26559, 47917, 16604, 16391, 35802, 16395, 21614, 16395, 16674, 40381, 16392, 17823, 28417, 38862, 22728, 16395, 16674, 16873, 17564, 18675, 35563, 24713, 16397, 17170, 20634, 21910, 16647, 17210, 16641, 17498, 16704, 26923, 17714, 16998, 31703, 16721, 16647, 18821, 19014, 16673, 16647, 29967, 16466, 16872, 16992, 20152, 16397, 16582, 16582, 17071, 16811, 19090, 16395, 16742, 17875, 16641, 20318, 18383, 16673, 26559, 16429, 18736, 46531, 16647, 16604, 16442, 16393, 16717, 16866, 60840, 16393, 16604, 16444, 16474, 16476, 47008, 16395, 17187, 16647, 19014, 16604, 16391, 16658, 16647, 17210, 16728, 16704, 26923, 16392, 16704, 26252, 17030, 17005, 16671, 18725, 18237, 44666, 17329, 43135, 16647, 18736, 16604, 16391, 19914, 23728, 18331, 16443, 16442, 19810, 16409, 16717, 16866, 60840, 16443, 16446, 47008, 16443, 16444, 16392, 16397, 17119, 17620, 16647, 26559, 16429, 52487, 19140, 62289, 16815, 16811, 18736, 16674, 16914, 19056, 28563, 16672, 23728, 18331, 16443, 16442, 19810, 16409, 42217, 16893, 16443, 16444, 16397, 17119, 18603, 16647, 51485, 16673, 20575, 18166, 26559, 16429, 26145, 16671, 16647, 16604, 16442, 16393, 16717, 16866, 60840, 16393, 16604, 16444, 16474, 16476, 47008, 16672, 23728, 18331, 16443, 16442, 19810, 16409, 61437, 17289, 18688, 16443, 16444, 16674, 17875, 16647, 18466, 16673, 16667, 61635, 17065, 21109, 20692, 19318, 48137, 16809, 16728, 16672, 23728, 18331, 16443, 16442, 19810, 16409, 21826, 16443, 16446, 27018, 50819, 16443, 16446, 33329, 21972, 16443, 16444, 16397, 16711, 17280, 16673, 22738, 21263, 17484, 31554, 16721, 17208, 16703, 21627, 16671, 21033, 16647, 19032, 16673, 18655, 22625, 16672, 16647, 18368, 16704, 22738, 16672, 23728, 18331, 16443, 16442, 19810, 16409, 18889, 22179, 16443, 16444, 16397, 16582, 16582, 16853, 25346, 16673, 16811, 18077, 16704, 17567, 16396, 29036, 16409, 16582, 16582, 16396, 16650, 17119, 17875, 16641, 17009, 26559, 16429, 18736, 46531, 16647, 16604, 16442, 16393, 16717, 16866, 60840, 16393, 16604, 16444, 16474, 16476, 47008, 16395, 17789, 16667, 17291, 16396, 16928, 16396, 16806, 34813, 16709, 18166, 26559, 47917, 16604, 16391, 35802, 16395, 21614, 16395, 16674, 40381, 16392, 16397, 16582, 16582, 16396, 16650, 17119, 17875, 16641, 18237, 21378, 16709, 20692, 21317, 16721, 16816, 16866, 16677, 17112, 29202, 61681, 17065, 21109, 21289, 16397, 16582, 16582, 16396, 16650, 17119, 17620, 19705, 52487, 19140, 16674, 47875, 16815, 16944, 16742, 41934, 16641, 23925, 18067, 16673, 18865, 16671, 26559, 47917, 16397, 16582, 16582, 36300, 16709, 18901, 29952, 16674, 18675, 35563, 16582, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16582, 16582, 16386, 16386, 16386, 16386, 19941, 29952, 16582, 16582, 17409, 16704, 16641, 18545, 19545, 16709, 16647, 20247, 16721, 20954, 21463, 20239, 16671, 17393, 51113, 20078, 16395, 17231, 19705, 32896, 17779, 16715, 16647, 17396, 22515, 16395, 16674, 18187, 16652, 17301, 16674, 29955, 17677, 16838, 29967, 16466, 16397, 23121, 16395, 16647, 17231, 16673, 29967, 18187, 18998, 18373, 16704, 17238, 18545, 17989, 26559, 47917, 16397, 16582, 16582, 18377, 16769, 17142, 20286, 16673, 38862, 22728, 16409, 21967, 16395, 16674, 21281, 38862, 16466, 16397, 16875, 16647, 17843, 16673, 16641, 21967, 16396, 18106, 38862, 16395, 16647, 21967, 22779, 16647, 40808, 20584, 19484, 16604, 16402, 16399, 16400, 16604, 16391, 48188, 16392, 16734, 16641, 17009, 29967, 16397, 26481, 26559, 47917, 17482, 21967, 16396, 18106, 38862, 16466, 16903, 16671, 16647, 18551, 26154, 16672, 17970, 16671, 18288, 16914, 20239, 16734, 16641, 35563, 16673, 16647, 24053, 22183, 22515, 16397, 16875, 16647, 17843, 16673, 16641, 21281, 16396, 18106, 38862, 16395, 16647, 33712, 17650, 16704, 21996, 16891, 16809, 16641, 41757, 21580, 29412, 16672, 16647, 21281, 16743, 16466, 27402, 16397, 21123, 16647, 26559, 47917, 16829, 16804, 27472, 16647, 22183, 22177, 16873, 16829, 16804, 16647, 17482, 21281, 38862, 16466, 16903, 16671, 16647, 18551, 26154, 16397, 16582, 16582, 16386, 16386, 16386, 16386, 27397, 22728, 16674, 20398, 19083, 16582, 16582, 18377, 16769, 17259, 18675, 18901, 29952, 18373, 18325, 16647, 22183, 16721, 17231, 16604, 16402, 16399, 16400, 21967, 38862, 16466, 16715, 20398, 19083, 16395, 29967, 18187, 18998, 16395, 21507, 28062, 16674, 19001, 19289, 18291, 26204, 16397, 19214, 16673, 17213, 18373, 16721, 18314, 16709, 20398, 19083, 16395, 17274, 16741, 16604, 16393, 16442, 16644, 35018, 16697, 16397, 17070, 16444, 16391, 16644, 35018, 16697, 16397, 17070, 16392, 16393, 16395, 17823, 16914, 21350, 16671, 17928, 16647, 18821, 29967, 17437, 27187, 16647, 32896, 17779, 16397, 19214, 18373, 16395, 17274, 16741, 16604, 16393, 16442, 19286, 16697, 16397, 17070, 16444, 16391, 19286, 16697, 16397, 17070, 16392, 16393, 16395, 18616, 16641, 26425, 31500, 16671, 17928, 16647, 18821, 29967, 16397, 16582, 16582, 16853, 19629, 16671, 17928, 16647, 18821, 29967, 17714, 21910, 16647, 18187, 50577, 16704, 17889, 17014, 20911, 17745, 21362, 16914, 26538, 16785, 18062, 17007, 16671, 16641, 17476, 20247, 19037, 16397, 24392, 16395, 16741, 16868, 16703, 22849, 16672, 23728, 18331, 16443, 16442, 19810, 16409, 16717, 16866, 60840, 16443, 16446, 47008, 16443, 16444, 16395, 16811, 20732, 17123, 16703, 46385, 16671, 29202, 16647, 16604, 16442, 16393, 16717, 16866, 60840, 16393, 16604, 16444, 16474, 16476, 47008, 16397, 16582, 16582, 16386, 16386, 16386, 16386, 50547, 24713, 16582, 16582, 16419, 22333, 16704, 17405, 16671, 28050, 16647, 24888, 18751, 16673, 16641, 21967, 18201, 16641, 24020, 17830, 16397, 16772, 21892, 16673, 16647, 24020, 17830, 17123, 58833, 16998, 18821, 24888, 18751, 16715, 16888, 16398, 16761, 24020, 16674, 17928, 16728, 16767, 16868, 16397, 16772, 21456, 17650, 17123, 17391, 16903, 16671, 16604, 16401, 16403, 18626, 16671, 26815, 16758, 16397, 48487, 50547, 21456, 38915, 16395, 18365, 16741, 31376, 36199, 16471, 16395, 16769, 17405, 16809, 36617, 19554, 16671, 21529, 35656, 16674, 17211, 20515, 29296, 16397, 30342, 19527, 18443, 16671, 16647, 47682, 16673, 50547, 24713, 19225, 16641, 24020, 17830, 16671, 16703, 19970, 16734, 19705, 16395, 23752, 21910, 24888, 28113, 16767, 16647, 17396, 17005, 16397, 16582, 16582, 16386, 16386, 16386, 16386, 24628, 17036, 29248, 16582, 16582, 22807, 17160, 16674, 38867, 18675, 17036, 29248, 16704, 16667, 17889, 26559, 16429, 20732, 16721, 20694, 23401, 16647, 18237, 24375, 17989, 16647, 26559, 16429, 16397, 16999, 20634, 16647, 20239, 16671, 19988, 16969, 16641, 17092, 27493, 16673, 16641, 17498, 16785, 16641, 23487, 17714, 19544, 47441, 16397, 27733, 16709, 16647, 30501, 16396, 36492, 16673, 16647, 18821, 19242, 16395, 16647, 18675, 35563, 16395, 19294, 19497, 16641, 20071, 16395, 16641, 32544, 46611, 16395, 16674, 16641, 18187, 23289, 16673, 16647, 22515 ]
[ 0, 16396, 16396, 16396, 16582, 38841, 16409, 16604, 16390, 16853, 20380, 16673, 16811, 19090, 16704, 16671, 18077, 16647, 18234, 16673, 21311, 25669, 19251, 37773, 16715, 16647, 18824, 16673, 16647, 17918, 16673, 41691, 25409, 16672, 16647, 30792, 44399, 16673, 27494, 16959, 24890, 16604, 16387, 16391, 16439, 16446, 16456, 16392, 16446, 16474, 16443, 30048, 16876, 16476, 16387, 16397, 17119, 17299, 16721, 16395, 17131, 18244, 55982, 16395, 16986, 16704, 16641, 18354, 24511, 17415, 16811, 18234, 16674, 16647, 17396, 18234, 16715, 16647, 24890, 16604, 16387, 16439, 16446, 16456, 16387, 16397, 16390, 16582, 32526, 16409, 16604, 16390, 19806, 18327, 16396, 25859, 18359, 19093, 16390, 16582, 26371, 16409, 16582, 16396, 52192, 20761, 23712, 24629, 60723, 16454, 32832, 16582, 23718, 16409, 17813, 16647, 18824, 16673, 19059, 16673, 41691, 25409, 16709, 30792, 44399, 16673, 27494, 16959, 24890, 16582, 16396, 16396, 16396, 16582, 16582, 38194, 16582, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16582, 16582, 17071, 16811, 19090, 16742, 18077, 16647, 21348, 18234, 16672, 16647, 20409, 16673, 30792, 44399, 16673, 27494, 16959, 24890, 16397, 17170, 18234, 16843, 16703, 22039, 16741, 21983, 16409, 16715, 16641, 27494, 16959, 18692, 16604, 16387, 16439, 16387, 17030, 16641, 18676, 16604, 16387, 16474, 16443, 22060, 16908, 16476, 16387, 16604, 16391, 20110, 16604, 16387, 16474, 16443, 22060, 16908, 16476, 16412, 16474, 16443, 22060, 16778, 16476, 16387, 16785, 16604, 16387, 16474, 16443, 22060, 16908, 16476, 16412, 16474, 16443, 22060, 16719, 16476, 16387, 16392, 16674, 19588, 20246, 16604, 16387, 16458, 16446, 16400, 16395, 16443, 38650, 16395, 16822, 16446, 16461, 16387, 17393, 16647, 29682, 22551, 16604, 16387, 16428, 16387, 17274, 16721, 16395, 18201, 16998, 17280, 16673, 26416, 46670, 41691, 25409, 16604, 16387, 16431, 16446, 16400, 16395, 16443, 38650, 16395, 16431, 16446, 16461, 16409, 16439, 16443, 29061, 16604, 16474, 16443, 22060, 16908, 16476, 16387, 16395, 16673, 23757, 16604, 16387, 16458, 16446, 16400, 16395, 16443, 38650, 16395, 16458, 16446, 16461, 16387, 16410, 16647, 33740, 16604, 16387, 16387, 16443, 19974, 16474, 17491, 17212, 17847, 16476, 16582, 16428, 16604, 16443, 35153, 16739, 16446, 16400, 16604, 16443, 38650, 16739, 16446, 16461, 16443, 35153, 16604, 16443, 16840, 16650, 16443, 16395, 16604, 16443, 35153, 16739, 16446, 16400, 16604, 16443, 35153, 16604, 16443, 38650, 16604, 16443, 35153, 16739, 16446, 16461, 16604, 16443, 35153, 16387, 16387, 22952, 16395, 17187, 16604, 16387, 16443, 35153, 16739, 16604, 16443, 35153, 16604, 16412, 16604, 16443, 30384, 16446, 16474, 16443, 35153, 18509, 16604, 16443, 35153, 16446, 16439, 16412, 16400, 16476, 16604, 16443, 18872, 16739, 16391, 16471, 16392, 16443, 18872, 16387, 16397, 17119, 17027, 18077, 16641, 32911, 16673, 16647, 18234, 16672, 16944, 16742, 18616, 16647, 41691, 25409, 16671, 16703, 51361, 16397, 16582, 16582, 17506, 20497, 16721, 16641, 17917, 16604, 16387, 16431, 16409, 16439, 16443, 29061, 16604, 16474, 16443, 22060, 16908, 16476, 16387, 16704, 16641, 26416, 16604, 16387, 16458, 16396, 16387, 35523, 37388, 49135, 16980, 16986, 16704, 16641, 26416, 16604, 16387, 16458, 16396, 16387, 32577, 17917, 16604, 16387, 16435, 16409, 16439, 16445, 16458, 16443, 29061, 16604, 16474, 16443, 22060, 16908, 16476, 16387, 16715, 16944, 16604, 16387, 16431, 16391, 16471, 16392, 16412, 16435, 16391, 16471, 16395, 16443, 38650, 16395, 16471, 16392, 16387, 16397, 16711, 17917, 16604, 16387, 16432, 16409, 16439, 16443, 29061, 16604, 16474, 16443, 22060, 16908, 16476, 16387, 16704, 16641, 26416, 49135, 16673, 20157, 16604, 16387, 16458, 16387, 16980, 16604, 16387, 16432, 16412, 16443, 20274, 16446, 16474, 16459, 16412, 16399, 16476, 16445, 16458, 17695, 16446, 16459, 16387, 16734, 16604, 16387, 16432, 16446, 16399, 16387, 16641, 22551, 16395, 16604, 16387, 16432, 16446, 16459, 16387, 16604, 16391, 16387, 16400, 16443, 26057, 16685, 16604, 16443, 26057, 16822, 16387, 16392, 16667, 16604, 16387, 16459, 16396, 16387, 35523, 37388, 49135, 16674, 16604, 16387, 16432, 16446, 16458, 16604, 16443, 43698, 16604, 16399, 16387, 16604, 16397, 16582, 16582, 16853, 21348, 18234, 16872, 16992, 23954, 16809, 18295, 22900, 16397, 16875, 16604, 16442, 16415, 16417, 17904, 16444, 16395, 16719, 16397, 21094, 17525, 16820, 16473, 16395, 16966, 16397, 16702, 21292, 55323, 16674, 16711, 16397, 16700, 32739, 25750, 16721, 16395, 16715, 26416, 41691, 25409, 16395, 33740, 16604, 16391, 16443, 16442, 17491, 17212, 17847, 16443, 16444, 16392, 22952, 16734, 22551, 16604, 16387, 16387, 16428, 16412, 16443, 19873, 16474, 16391, 16458, 16446, 16400, 16394, 16443, 38650, 16604, 16394, 16822, 16446, 16461, 16392, 16445, 16474, 16391, 16458, 16446, 16400, 16394, 16443, 38650, 16604, 16394, 16458, 16446, 16461, 16392, 16476, 16476, 16474, 16458, 16446, 16400, 16445, 16474, 16458, 16446, 16400, 16476, 16604, 16443, 38650, 16822, 16446, 16461, 16445, 16474, 16458, 16446, 16461, 16476, 16476, 16387, 16387, 16715, 16998, 19680, 27494, 16959, 18692, 16397, 16772, 22900, 17027, 20332, 16721, 16811, 16704, 16647, 17514, 27776, 22551, 16395, 17608, 16986, 16769, 41691, 25409, 16709, 16604, 16387, 16443, 17182, 16446, 16400, 16387, 16715, 16944, 29968, 26260, 21335, 16397, 17544, 19680, 34706, 19173, 24890, 16674, 51361, 41691, 25409, 16395, 16759, 16397, 16739, 34607, 17435, 25750, 16672, 16604, 16442, 16415, 16431, 16444, 16721, 16647, 29682, 22551, 16704, 16604, 16387, 16387, 16443, 34516, 16582, 16428, 16412, 16443, 25600, 16474, 16443, 19873, 16474, 16391, 16458, 16446, 16400, 16394, 16443, 38650, 16604, 16394, 16822, 16446, 16461, 16392, 16445, 16474, 16391, 16458, 16446, 16400, 16394, 16443, 38650, 16604, 16394, 16458, 16446, 16461, 16392, 16476, 16476, 16474, 16458, 16446, 16400, 16445, 16474, 16458, 16446, 16400, 16476, 16604, 16443, 38650, 16822, 16446, 16461, 16445, 16474, 16458, 16446, 16461, 16476, 16476, 16476, 16397, 16387, 16387, 17170, 16704, 16641, 64760, 16673, 16647, 17539, 16715, 25544, 22072, 21715, 16809, 39226, 16676, 16396, 17094, 16396, 17506, 48599, 16672, 16604, 16442, 16415, 16416, 16444, 16397, 16875, 16604, 16442, 16415, 16418, 20714, 16444, 16395, 17027, 16715, 51361, 41691, 25409, 16395, 16759, 16397, 18246, 22670, 16395, 16759, 16397, 16739, 34607, 17435, 16674, 16647, 18421, 25750, 16721, 16715, 16998, 19680, 16604, 16387, 16427, 16446, 16463, 16391, 16443, 21685, 16392, 16387, 18692, 16395, 16734, 16604, 16387, 24430, 16391, 16427, 16446, 16463, 16391, 16443, 21685, 16392, 16392, 16443, 31790, 16686, 16387, 16674, 16604, 16387, 16400, 16411, 16463, 16411, 16401, 16387, 16395, 16647, 29682, 22551, 16704, 16604, 16387, 16387, 16443, 34516, 16582, 16428, 16412, 16443, 25600, 16442, 16463, 16444, 16474, 16443, 19873, 16474, 16391, 16458, 16446, 16400, 16394, 16443, 38650, 16604, 16394, 16822, 16446, 16461, 16392, 16445, 16474, 16391, 16458, 16446, 16400, 16394, 16443, 38650, 16604, 16394, 16458, 16446, 16461, 16392, 16476, 16476, 16474, 16458, 16446, 16400, 16445, 16474, 16458, 16446, 16400, 16476, 16604, 16443, 38650, 16822, 16446, 16461, 16445, 16474, 16458, 16446, 16461, 16476, 16476, 16476, 16397, 16387, 16387, 16582, 16582, 17635, 19090, 16704, 29584, 30930, 16809, 16647, 16985, 16673, 16727, 16397, 25112, 18152, 52524, 16674, 16778, 16397, 16711, 16397, 24870, 16672, 16604, 16442, 16415, 34028, 16444, 16397, 16875, 16721, 19090, 16873, 23954, 16395, 18493, 16977, 17578, 16395, 16641, 18234, 18655, 16671, 16604, 16391, 16443, 16442, 17491, 17212, 17847, 16443, 16444, 16392, 16409, 21311, 16647, 16859, 18047, 46444, 22551, 16673, 16641, 27494, 16959, 18692, 16397, 17513, 17494, 16641, 24511, 17415, 16647, 46444, 22551, 16673, 16647, 30792, 26758, 16604, 16387, 16391, 16439, 16446, 16456, 16392, 16446, 16474, 16443, 30048, 16876, 16476, 16387, 16674, 16647, 46444, 22551, 16673, 17492, 16673, 16647, 24890, 16604, 16387, 16439, 16446, 16456, 16387, 16397, 19736, 24431, 16704, 16671, 16829, 16667, 53528, 19335, 16715, 17038, 18234, 16604, 16391, 16443, 16442, 17491, 17212, 17847, 16443, 16444, 16392, 16397, 17673, 16704, 16395, 16671, 17393, 16641, 24511, 17415, 16647, 21348, 18234, 16715, 16647, 18692, 16604, 16387, 16391, 16439, 16446, 16456, 16392, 16446, 16474, 16443, 30048, 16876, 16476, 16387, 16674, 16647, 21348, 18234, 16715, 16647, 24890, 16604, 16387, 16439, 16446, 16456, 16387, 16397, 16582, 16582, 17071, 23728, 16604, 16401, 16742, 17882, 16991, 20873, 35083, 16674, 18466, 16673, 30792, 44399, 18964, 16715, 17038, 18041, 16397, 16875, 23728, 16604, 16402, 16742, 17731, 16674, 22882, 16647, 17736, 17539, 16673, 16811, 19420, 16395, 24864, 30792, 44399, 16395, 16674, 16641, 18655, 17539, 16709, 26164, 17104, 16466, 16397, 16582, 16582, 43476, 20423, 44399, 16582, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16582, 16582, 17507, 18322, 16734, 16991, 35083, 16395, 16804, 16964, 16674, 20873, 18466, 16709, 34631, 16395, 30792, 53794, 16674, 30792, 44399, 16397, 20361, 16673, 16647, 19014, 20905, 16672, 16811, 19648, 16395, 16741, 17204, 16741, 16667, 59602, 63444, 16709, 30792, 44399, 16395, 16843, 16703, 17494, 16672, 56184, 16743, 16466, 19090, 16604, 16442, 16415, 16423, 16444, 16397, 16582, 16582, 16416, 24052, 16604, 16387, 16474, 16443, 30048, 16876, 16476, 16387, 16709, 16641, 17797, 16604, 16387, 16424, 16387, 16704, 16641, 20555, 16673, 17975, 23073, 60139, 16673, 16604, 16387, 16424, 16387, 21109, 16809, 31471, 64173, 16674, 16672, 28659, 16397, 17008, 30792, 27568, 16704, 47256, 24052, 16397, 16582, 16582, 17071, 17970, 16671, 24560, 16647, 30792, 26758, 16673, 27494, 16959, 24890, 16395, 16742, 16769, 17395, 16671, 17109, 16991, 58407, 18466, 17092, 16397, 16582, 16582, 20201, 16604, 16387, 16474, 16443, 30048, 16876, 16476, 16387, 16703, 16667, 30792, 27568, 16709, 16604, 16387, 16424, 16387, 16674, 16604, 16387, 16439, 16387, 16641, 58407, 18692, 16397, 17119, 17335, 16721, 16647, 20776, 16673, 16604, 16387, 16391, 16471, 16446, 16456, 16392, 16446, 16474, 16456, 16443, 16642, 16687, 16476, 16604, 16443, 50514, 18126, 16387, 18577, 16673, 16604, 16387, 16474, 16443, 30048, 16876, 16476, 16387, 16704, 16604, 16387, 16471, 16387, 16980, 16715, 17155, 17671, 23546, 16604, 16387, 16436, 16387, 16673, 16604, 16387, 16471, 16387, 16647, 17280, 16604, 16387, 16443, 16474, 16456, 16443, 16642, 16687, 16409, 18509, 16446, 16456, 16604, 16443, 16642, 16876, 16443, 16476, 16387, 16704, 16667, 20688, 16673, 16604, 16387, 16474, 16443, 30048, 16876, 16476, 16387, 16397, 17119, 39445, 16604, 16387, 16387, 16443, 44668, 16443, 19308, 16446, 16474, 16456, 16395, 16474, 16443, 30048, 16876, 16476, 16476, 18509, 16446, 16456, 16604, 16412, 18509, 16397, 16387, 16387, 16582, 16582, 16853, 18211, 16704, 46149, 16604, 16400, 16397, 16404, 16815, 16604, 16442, 16415, 16423, 16444, 16397, 16582, 16582, 16443, 16442, 16449, 25637, 17077, 16453, 16443, 16444, 19412, 16604, 16387, 16474, 16443, 30048, 16876, 16476, 16387, 16703, 16667, 30792, 27568, 16709, 16604, 16387, 16424, 16387, 16395, 16604, 16387, 16439, 16387, 16641, 30303, 44143, 49620, 16867, 18692, 16674, 16604, 16387, 16391, 16471, 16446, 16456, 16392, 16446, 16474, 16456, 16443, 16642, 16687, 16476, 16604, 16443, 50514, 18126, 16387, 16397, 19488, 16395, 16647, 20776, 16673, 16604, 16387, 16391, 16471, 16446, 16456, 16392, 16446, 16474, 16456, 16443, 16642, 16687, 16476, 16387, 18577, 16673, 16604, 16387, 16474, 16443, 30048, 16876, 16476, 16387, 23496, 16674, 16704, 19857, 16397, 16582, 16582, 39251, 16709, 16395, 16742, 16769, 17395, 16671, 17109, 16647, 17718, 20873, 43012, 16931, 24727, 16673, 30792, 44399, 16395, 20040, 23255, 16704, 16667, 18994, 22271, 16673, 20873, 51980, 16674, 30792, 53794, 16397, 16582, 16582, 16443, 16442, 16677, 18953, 16706, 16654, 16443, 16444, 19412, 16604, 16387, 16474, 16443, 30048, 16876, 16476, 16387, 16703, 16667, 30792, 27568, 16709, 16604, 16387, 16424, 16387, 16674, 16604, 16387, 16443, 16474, 16471, 16446, 16456, 16443, 16476, 16446, 16474, 16456, 16443, 16642, 16687, 16476, 16387, 16641, 17797, 16673, 17446, 20246, 16397, 20111, 18575, 16721, 16647, 20776, 16673, 16604, 16387, 16391, 16471, 16446, 16456, 16392, 16446, 16474, 16456, 16443, 16642, 16687, 16476, 16604, 16443, 50514, 16604, 16474, 16443, 22060, 16778, 16476, 16387, 18577, 16673, 16604, 16387, 16474, 16443, 30048, 16876, 16476, 16387, 23496, 16674, 17723, 16604, 16387, 16465, 16387, 16703, 16641, 17446, 17679, 17274, 16721, 16986, 16704, 16641, 37384, 16604, 16387, 16436, 16387, 16673, 16604, 16387, 16443, 16474, 16456, 16409, 16792, 16411, 16471, 16446, 16456, 16443, 16476, 16387, 16734, 16604, 16387, 16436, 16443, 16642, 16604, 16474, 16443, 30048, 16876, 16476, 16387, 16397, 19488, 16604, 16387, 16387, 16465, 16604, 16443, 26057, 16604, 16443, 44668, 16443, 19308, 16446, 16474, 16456, 16395, 16474, 16443, 30048, 16876, 16476, 16476, 18509, 16446, 16456, 16397, 16387, 16387, 16582, 16582, 17507, 16769, 17178, 17914, 16671, 24560, 16647, 30792, 26758, 16673, 27494, 16959, 24890, 16397, 29325, 16667, 30792, 27568, 16604, 16387, 16474, 16443, 30048, 16876, 16476, 16387, 16709, 16604, 16387, 16424, 16387, 16674, 16641, 17797, 16673, 27494, 16959, 24890, 16604, 16387, 16391, 16439, 16446, 16456, 16392, 16446, 16474, 16456, 16443, 16642, 16687, 16476, 16387, 16395, 17391, 16647, 27494, 16959, 18692, 16604, 16387, 16443, 17182, 16446, 16443, 26414, 16391, 16424, 16395, 16439, 16446, 16456, 16392, 16387, 16673, 18824, 42543, 20422, 16604, 16387, 16391, 16471, 16446, 16456, 16392, 16446, 16474, 16456, 16443, 16642, 16687, 16476, 16387, 16734, 16604, 16387, 16471, 16446, 16456, 16604, 16443, 16642, 18126, 16446, 16456, 16387, 16674, 18824, 16604, 16387, 16387, 16443, 35153, 16604, 16391, 16471, 16446, 16456, 16392, 16446, 16474, 16456, 16443, 16642, 16687, 16476, 16604, 16443, 35153, 16604, 16412, 16604, 16443, 30384, 16446, 16474, 16456, 16443, 16642, 16687, 16476, 16604, 16443, 35153, 18509, 16446, 16456, 16604, 16443, 35153, 16397, 16387, 16387, 16772, 30792, 26758, 16604, 16387, 16391, 16439, 16446, 16456, 16392, 16446, 16474, 16443, 30048, 16876, 16476, 16387, 16704, 21365, 16741, 16647, 35353, 17538, 18692, 16604, 16387, 16443, 17182, 16446, 16443, 26414, 16391, 16424, 16395, 16439 ]
[ 0, 18342, 20684, 36481, 16704, 16641, 18474, 30483, 16673, 20053, 19487, 16397, 16772, 37067, 34177, 16672, 20053, 19487, 16704, 58280, 24283, 17453, 17801, 16671, 18288, 32718, 24801, 16673, 18843, 25426, 16715, 16667, 48244, 40254, 48544, 16673, 23776, 16787, 21511, 18699, 17560, 22355, 18155, 19134, 16674, 36793, 16442, 16415, 16449, 16400, 16444, 16442, 16415, 16449, 16401, 16444, 16397, 16875, 18150, 16395, 20053, 19487, 18143, 25450, 28282, 30386, 16671, 35735, 18901, 18289, 18826, 19171, 61631, 16671, 19238, 17647, 49106, 20962, 16672, 16647, 27242, 20338, 42150, 16442, 16415, 16449, 16402, 16444, 16442, 16415, 16449, 16403, 16444, 16397, 18523, 16395, 16647, 27732, 27287, 16809, 16944, 20053, 19487, 18870, 37067, 21686, 16671, 19201, 16667, 48244, 33319, 16674, 18901, 18289, 18826, 19171, 61631, 16671, 23129, 20053, 18155, 36793, 16674, 18155, 25341, 16769, 16804, 17204, 23999, 16397, 16582, 16582, 31493, 17495, 17040, 34177, 17181, 16647, 29921, 17435, 16697, 19828, 31133, 16843, 16703, 62415, 17065, 16647, 37151, 17040, 48649, 31133, 16604, 16391, 26234, 16431, 16392, 16397, 16772, 16739, 26234, 21846, 16641, 25035, 18814, 16672, 19547, 16647, 31395, 26271, 16715, 16667, 48244, 40254, 48544, 16674, 20557, 20381, 16396, 49802, 17225, 21859, 16442, 16415, 16449, 16404, 16444, 16397, 16999, 36545, 28675, 17040, 16396, 16405, 16396, 44810, 16758, 16715, 16604, 16393, 17094, 65424, 16393, 33319, 16673, 23642, 16674, 31364, 16395, 16674, 16647, 25428, 24523, 21999, 62295, 29049, 16715, 16691, 32597, 40254, 48544, 16673, 29981, 18145, 16397, 16793, 18987, 43611, 17027, 22072, 16741, 16667, 17889, 50298, 16715, 53369, 18698, 16673, 17362, 19415, 16673, 44465, 27312, 20969, 16604, 16391, 16433, 19445, 16392, 21047, 17560, 22355, 18155, 36793, 16671, 23129, 18155, 25341, 16397, 39106, 16673, 16647, 16739, 26234, 16704, 18365, 16671, 16703, 16903, 38011, 16672, 20053, 19487, 19739, 16734, 19732, 49549, 19487, 16442, 16415, 16449, 16405, 16444, 16397, 60738, 16661, 17285, 16673, 18474, 40665, 16672, 16647, 16739, 26234, 58645, 27242, 19134, 16674, 19205, 20107, 16659, 20053, 19487, 16671, 49106, 20962, 16442, 16415, 16449, 16406, 16444, 16442, 16415, 16449, 16407, 16444, 16397, 20359, 17495, 17040, 16396, 16405, 16396, 44810, 16758, 16774, 61194, 16954, 16604, 16391, 16422, 16405, 22203, 16392, 25436, 63182, 16647, 17092, 22486, 16674, 18960, 16396, 19308, 18883, 18586, 16673, 16647, 16739, 26234, 16397, 16999, 25436, 63182, 16647, 45349, 16673, 16796, 16405, 16431, 16671, 16604, 16405, 16396, 44810, 16905, 18350, 16979, 16758, 16674, 28549, 62295, 29049, 16672, 16647, 21057, 16673, 62295, 16431, 16445, 16394, 16445, 16397, 16796, 16405, 22203, 16704, 19570, 16647, 16664, 18606, 51781, 16673, 16647, 16739, 26234, 16674, 16647, 20618, 18123, 17411, 16715, 62295, 29049, 19378, 16397, 16796, 16405, 22203, 19962, 16704, 35024, 16671, 19001, 26525, 27287, 28474, 16815, 37732, 16671, 27554, 16395, 18613, 48342, 17073, 22228, 16672, 44889, 31395, 36481, 16442, 16415, 16449, 16404, 16444, 16397, 16582, 16582, 16430, 16396, 40019, 33349, 16396, 16429, 16396, 16861, 51542, 62001, 16786, 27957, 16604, 16391, 16430, 16396, 31493, 16450, 19753, 16450, 16392, 16704, 16641, 24566, 16674, 24722, 41824, 17498, 16396, 21527, 16459, 17194, 34795, 16673, 17451, 16856, 16674, 16398, 16658, 16681, 57477, 16856, 44914, 16673, 22497, 16674, 40479, 16786, 20673, 26513, 16442, 16415, 16449, 16408, 16444, 16397, 16875, 19487, 16395, 16641, 18494, 17280, 16673, 46905, 18815, 40665, 16396, 16396, 16396, 16430, 16396, 31493, 16450, 19753, 16450, 20558, 16954, 16604, 16391, 23105, 16435, 16392, 16674, 16830, 16396, 31493, 16450, 19753, 16450, 30131, 17741, 16954, 16769, 21022, 16715, 16647, 18150, 16674, 27489, 16673, 20359, 16450, 19753, 16450, 54377, 17666, 16395, 22358, 16397, 16830, 16396, 31493, 16450, 19753, 17288, 20118, 16872, 16992, 21766, 16672, 22652, 26513, 16674, 18937, 16641, 19680, 40959, 16684, 17340, 16734, 22036, 50485, 16442, 16415, 16449, 16400, 16399, 16444, 16397, 54837, 19591, 16872, 19628, 16721, 16830, 16396, 31493, 16450, 19753, 17288, 20118, 24473, 17889, 24128, 16672, 44889, 23273, 37732, 16395, 31395, 59330, 16674, 20962, 24739, 16442, 16415, 16449, 16400, 16400, 16444, 16397, 39774, 19570, 16741, 16641, 16604, 16390, 29217, 24012, 26751, 16443, 16390, 16673, 19487, 16395, 18961, 23806, 17027, 24396, 16721, 16830, 16396, 31493, 16450, 19753, 17288, 20118, 17123, 27227, 16674, 20206, 23765, 16672, 44889, 31395, 36481, 16442, 16415, 16449, 16400, 16401, 16444, 16397, 16830, 16396, 31493, 16450, 19753, 16450, 19415, 16769, 21777, 32718, 16672, 19001, 38030, 16397, 34152, 23352, 16830, 16396, 31493, 16450, 19753, 17288, 20118, 16872, 16992, 19628, 16671, 53308, 16734, 20053, 18155, 36793, 16395, 31300, 16674, 57663, 17490, 16604, 16393, 16642, 36523, 16393, 16674, 16604, 16393, 16642, 37154, 16393, 16442, 16415, 16449, 16400, 16402, 16444, 16442, 16415, 16449, 16400, 16403, 16444, 16442, 16415, 16449, 16400, 16404, 16444, 16397, 23121, 16395, 16774, 40309, 16673, 16830, 16396, 31493, 16450, 19753, 17288, 20118, 21438, 16671, 16703, 16641, 18723, 20732, 16673, 20053, 19487, 16397, 18523, 16395, 16647, 23435, 27287, 16809, 16944, 22036, 16396, 27044, 16830, 16396, 31493, 16450, 19753, 17288, 20118, 36903, 16671, 20053, 37067, 24283, 17453, 19509, 16674, 27242, 20637, 26108, 20397, 23971, 24472, 16397, 16582, 16582, 21055, 16395, 16742, 17875, 19591, 16721, 16830, 16396, 31493, 16450, 19753, 17288, 20118, 16673, 16796, 16405, 22203, 35923, 20053, 18155, 16667, 48244, 40254, 48544, 16674, 18901, 18289, 18826, 19171, 61631, 16671, 23129, 27242, 19134, 16604, 16393, 16642, 37154, 16393, 16397, 35382, 34220, 16395, 29921, 22287, 61227, 63345, 16796, 16405, 22203, 19962, 16674, 23361, 32714, 34177, 17181, 16647, 16739, 26234, 16395, 28065, 30484, 17036, 30583, 17035, 16715, 57850, 16674, 43212, 40254, 48544, 16395, 16674, 25428, 59801, 16715, 50298, 21859, 16397, 16875, 18150, 16395, 29921, 22287, 61227, 16673, 16796, 16405, 22203, 35264, 20053, 18155, 36793, 16604, 16393, 16642, 36523, 16393, 16674, 27242, 19134, 16604, 16393, 16642, 37154, 16393, 16397, 32951, 20335, 16395, 16796, 16405, 22203, 29921, 22287, 61227, 16704, 32718, 16672, 18206, 28568, 38030, 16397, 23121, 16395, 17038, 18077, 37826, 16641, 21216, 24472, 25013, 16715, 16647, 26080, 16673, 20053, 36481, 16674, 27242, 19134, 16809, 22036, 16830, 16396, 41160, 22287, 61227, 16397, 16582, 16582, 32271, 16582, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16582, 16582, 16422, 16405, 22203, 16704, 52421, 26252, 16809, 16830, 16396, 31493, 16450, 19753, 16450, 16767, 17451, 16856, 16604, 16407, 16403, 16582, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16582, 16582, 24021, 18003, 24347, 19831, 16442, 16415, 16449, 16400, 16405, 16444, 16442, 16415, 16449, 16400, 16406, 16444, 16807, 22130, 16721, 16641, 18122, 17679, 16673, 37067, 40665, 17789, 16796, 16405, 22203, 16769, 26252, 16809, 16830, 16396, 31493, 16450, 19753, 16450, 16672, 16693, 65083, 22585, 19487, 16395, 27742, 16641, 20927, 18814, 16673, 16830, 16396, 31493, 16450, 19753, 17288, 20118, 16672, 44889, 18155, 36481, 16397, 17999, 26426, 18515, 16830, 16396, 31493, 16450, 19753, 17288, 20118, 20206, 53189, 16647, 16739, 26234, 16395, 16742, 18314, 16709, 16647, 18960, 16396, 19308, 18883, 36533, 16796, 16405, 22203, 16397, 17999, 23204, 16721, 16796, 16405, 22203, 16704, 16830, 16396, 31493, 16450, 19753, 17288, 34657, 16395, 16742, 25186, 16641, 17204, 16396, 45613, 20561, 16462, 16396, 26791, 17644, 17957, 21072, 26112, 19474, 16442, 16415, 16449, 16400, 16405, 16444, 16397, 17119, 37097, 22095, 51750, 16858, 16830, 16396, 31493, 16450, 19753, 16450, 16396, 51262, 26513, 16815, 16604, 16401, 16408, 16402, 16435, 18155, 46803, 17099, 16734, 16667, 28559, 23756, 16396, 16429, 16396, 16861, 51542, 23896, 16935, 16786, 27957, 24974, 16397, 23692, 31510, 26513, 16958, 17177, 18783, 61913, 18161, 16895, 19565, 31020, 16391, 16424, 16392, 16396, 42669, 16604, 16443, 16442, 16402, 16394, 16401, 16443, 16444, 28559, 16870, 16396, 17340, 16472, 17022, 19332, 42285, 18341, 17019, 16604, 16391, 47299, 39378, 16392, 30119, 16674, 26757, 16734, 22218, 16849, 25041, 16642, 16396, 39369, 17040, 48105, 16397, 21064, 63521, 24813, 17080, 24926, 17230, 16673, 16647, 26757, 26513, 16734, 16667, 34567, 17647, 16796, 16405, 22203, 20332, 18354, 16830, 16396, 31493, 16450, 19753, 17288, 20118, 16673, 16796, 16405, 22203, 16604, 16391, 16442, 24001, 16397, 16604, 16400, 16448, 16395, 16449, 16444, 16391, 16386, 16453, 16400, 16392, 16474, 18452, 16396, 18926, 16412, 16385, 19327, 16385, 16476, 16392, 16397, 18627, 16450, 18093, 16673, 16647, 29921, 22287, 18161, 16895, 22036, 26041, 18804, 16796, 16405, 22203, 22036, 46944, 16667, 25018, 16673, 51615, 29921, 22287, 61227, 17743, 16671, 16703, 16604, 16407, 31334, 16401, 16397, 16400, 16388, 16397, 58511, 22287, 61227, 16673, 16796, 16405, 22203, 16763, 28282, 16809, 16604, 16403, 16397, 16404, 16396, 29036, 16672, 19487, 16809, 56086, 18324, 16673, 16830, 31488, 16395, 16647, 36533, 21022, 16715, 16647, 18150, 16673, 16830, 16396, 31493, 16450, 19753, 16450, 21396, 26513, 16604, 16391, 16442, 24001, 16397, 16604, 16400, 16450, 16444, 16391, 16386, 16453, 16400, 16392, 16474, 18452, 16396, 18926, 16412, 16385, 19327, 16385, 16476, 16392, 16397, 17999, 59491, 16758, 16734, 16811, 17539, 16395, 16742, 24813, 16754, 20037, 32497, 16895, 58029, 16796, 16405, 22203, 16815, 16604, 16401, 16408, 16402, 16435, 18155, 46803, 17099, 16674, 24813, 17080, 24926, 17749, 16734, 16641, 19870, 16396, 26104, 16396, 16430, 16396, 31493, 16450, 19753, 16450, 34567, 16604, 16391, 20091, 16419, 16400, 16400, 16399, 16397, 16405, 16392, 16395, 16944, 46944, 16641, 23674, 21686, 38999, 17240, 19251, 29214, 19739, 16671, 16647, 20561, 16462, 16396, 26791, 17644, 17957, 19474, 16604, 16391, 16442, 48753, 24502, 16397, 16604, 16400, 16444, 16391, 16386, 16434, 16400, 16392, 16474, 18452, 16396, 18926, 16412, 16385, 25567, 28783, 16396, 42287, 16385, 16476, 16392, 16397, 23121, 16395, 16796, 16405, 22203, 16704, 16830, 16396, 31493, 16450, 19753, 16450, 16396, 51262, 16672, 19487, 16397, 16582, 16582, 18313, 21986, 16647, 18758, 16391, 16466, 16392, 16673, 16830, 16396, 31493, 16450, 19753, 17288, 20118, 16709, 16796, 16405, 22203, 16395, 16742, 44504, 16697, 17055, 16396, 23634, 19298, 38248, 16396, 16467, 21796, 16796, 16405, 22203, 16674, 16830, 31488, 16672, 16604, 16401, 16408, 16402, 16435, 19487, 16397, 18916, 24813, 16754, 59496, 19803, 16674, 16672, 16396, 27138, 17590, 17421, 16642, 55405, 16673, 16796, 16405, 22203, 16395, 53003, 16958, 35024, 16671, 17362, 16396, 45892, 19027, 50454, 24318, 19335, 16604, 16391, 16461, 20280, 21078, 16396, 34510, 16432, 16396, 16418, 18320, 16398, 19093, 16419, 16396, 19701, 19286, 18190, 16392, 16397, 17119, 21766, 16641, 18494, 18758, 16673, 16830, 16396, 31493, 16450, 19753, 17288, 20118, 16767, 19641, 16856, 16604, 16407, 16403, 16395, 16641, 20349, 51409, 45865, 16672, 18826, 17207, 17296, 26513, 18493, 46576, 16604, 16391, 16442, 24001, 16397, 16604, 16400, 16451, 16444, 16391, 16386, 16453, 16400, 16392, 16474, 18452, 16396, 18926, 16412, 16385, 19327, 16385, 16476, 16674, 16604, 16442, 48753, 24502, 16397, 16604, 16401, 16444, 16391, 16386, 16434, 16400, 16392, 16474, 18452, 16396, 18926, 16412, 16385, 25567, 28783, 16396, 42287, 16385, 16476, 16392, 16397, 16727, 24205, 16673, 19641, 16407, 16403, 16671, 17398, 16856, 57121, 16647, 29921, 22287, 61227, 21686, 16395, 22965, 16721, 19641, 16407, 16403, 16704, 16647, 17097, 18758, 16673, 16830, 16396, 31493, 16450, 19753, 17288, 20118, 16709, 16796, 16405, 22203, 16604, 16391, 16442, 24001, 16397, 16604, 16400, 16451, 16444, 16391, 16386, 16453, 16400, 16392, 16474, 18452, 16396, 18926, 16412, 16385, 19327, 16385, 16476, 16392, 16397, 18485, 17696, 16395, 17028, 16977, 21497, 16673, 34795, 17274, 16741, 50485, 16958, 27024, 16767, 16647, 17396, 17451, 16856, 45865, 16397, 16582, 16582, 27263, 16768, 24329, 18147, 17586, 16807, 22738, 16721, 22036, 16830, 16396, 31493, 16450, 19753, 17288, 20118, 16704, 29983, 16672, 19208, 16671, 19001, 21497, 16673, 18155, 20962, 16442, 16415, 16449, 16400, 16407, 16444, 16395, 16674, 16721, 39407, 16673, 16830, 16396, 31493, 16450, 19753, 17288, 20118, 21846, 16667, 17889, 18814, 16672, 17374, 24329, 20927, 26987, 33582, 16671, 19077, 18155, 25341, 16442, 16415, 16449, 16400, 16407, 16444, 16397, 17999, 26426, 18515, 16830, 16396, 31493, 16450, 19753, 17288, 20118, 16673, 16796, 16405, 22203, 16704, 52421, 33910, 16672, 19487, 16395, 16742, 35024, 19487, 16671, 17476, 20962, 19527, 16674, 18033, 16665, 16647, 16830, 16396, 31493, 16450, 19753, 17288, 20118, 19415, 16673, 16796, 16405, 22203, 16397, 18485, 17696, 16395, 16796, 16405, 22203, 29921, 22287, 61227, 16763, 29983, 16672, 16641, 17005, 16396, 32435, 22305, 17131, 21830, 43542, 19527, 16604, 16391, 16402, 16397, 16400, 16396, 16671, 16604, 16403, 16397, 16406, 16396, 29036, 36942, 16395, 16604, 16442, 24001, 16397, 16604, 16400, 16452, 16444, 16391, 16386, 16453, 16400, 16392, 16474, 18452, 16396, 18926, 16412, 16385, 19327, 16385, 16476, 16392, 16397, 17119, 17494, 16721, 21830, 43542, 19165, 29983, 19364, 16830, 16396, 31493, 16450, 19753, 16450, 19415, 16672, 19487, 16674, 58029, 16830, 31488, 20825, 16604, 16391, 16442, 48753, 24502, 16397, 16604, 16402, 16416, 16444, 16391, 16386, 16434, 16400, 16392, 16474, 18452, 16396, 18926, 16412, 16385, 25567, 28783, 16396, 42287, 16385, 16476, 16392, 16397, 19921, 16771, 17929, 16395, 16604, 16393, 16642, 36523, 16393, 37097, 17957, 46819, 25402, 16721, 16830, 31488, 19962, 16672, 18155, 46803, 17099, 16763, 19800, 17131, 21830, 61752, 16604, 16391, 16442, 48753, 24502, 16397, 16604, 16402, 16417, 16444, 16391, 16386, 16434, 16400, 16392, 16474, 18452, 16396, 18926, 16412, 16385, 25567, 28783, 16396, 42287, 16385, 16476, 16392, 16397, 42171, 61752, 16704, 17027, 18365, 16671, 37820, 29987 ]
[ 0, 16396, 16396, 16396, 16582, 38841, 16409, 16604, 16390, 17071, 16811, 19090, 16742, 28517, 19189, 16674, 52369, 19134, 16671, 18244, 22072, 16721, 31869, 16672, 16647, 63755, 16673, 38925, 17266, 25579, 16782, 16397, 18483, 30908, 16673, 16811, 46591, 16704, 16641, 21940, 16673, 18466, 16721, 17867, 16758, 16647, 23297, 29337, 17816, 16673, 16641, 17266, 19467, 23540, 17585, 16734, 16647, 63923, 20937, 16673, 17213, 22072, 16397, 16772, 17711, 18519, 16673, 16811, 19090, 57333, 16647, 63923, 20937, 16673, 17142, 16673, 17213, 22072, 16397, 19736, 17736, 17539, 16672, 16811, 32744, 16941, 27661, 16641, 18283, 16673, 38985, 58543, 27524, 16815, 16647, 16908, 16663, 30841, 19574, 45552, 26026, 19251, 37773, 16673, 16917, 16673, 17213, 22072, 16715, 17975, 18558, 17060, 17953, 19318, 16397, 16390, 16582, 26371, 16409, 16582, 16396, 16604, 16390, 16426, 16397, 33019, 16396, 48992, 17906, 16442, 16445, 16400, 16444, 18331, 16674, 16759, 16397, 16738, 16397, 18640, 17506, 17574, 23369, 16442, 16445, 16401, 16444, 16390, 16582, 23718, 16409, 16604, 16475, 16582, 16696, 16393, 16393, 17894, 17644, 16849, 22585, 19134, 16674, 16443, 16582, 16696, 47467, 18545, 19133, 17189, 16672, 19318, 16393, 16393, 16582, 16396, 16396, 16396, 16582, 16582, 16400, 16408, 16408, 16400, 56056, 21494, 16409, 16604, 16401, 16399, 16421, 16402, 16401, 16395, 16604, 16401, 16399, 16420, 16401, 16405, 16604, 16397, 16399, 16404, 16642, 47485, 16409, 16604, 16393, 22068, 19318, 16395, 24068, 63586, 19318, 16395, 38925, 17266, 25579, 16782, 16395, 52369, 19134, 16395, 19189, 19134, 16397, 16393, 16582, 16582, 38194, 16582, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16582, 16582, 16853, 20964, 16673, 16647, 17875, 19090, 16769, 16671, 27768, 16647, 63929, 17415, 19189, 16674, 52369, 19134, 16395, 16674, 16671, 50872, 38925, 17266, 25579, 16782, 16395, 16641, 22573, 30930, 16674, 20101, 16809, 16647, 17092, 18421, 16672, 16604, 16442, 16415, 16417, 16663, 16444, 16397, 18708, 17142, 20964, 16807, 16667, 32786, 18774, 16721, 16868, 16703, 30457, 19796, 16811, 19090, 16397, 16582, 16582, 20965, 18314, 23159, 16734, 16647, 63929, 17415, 19189, 16674, 52369, 19134, 16397, 65441, 16721, 16715, 16641, 22184, 31471, 30484, 17280, 16604, 16387, 16439, 16387, 16673, 16604, 16387, 16443, 29517, 16387, 16734, 19970, 19189, 32575, 16604, 16387, 16474, 16443, 19911, 16443, 18872, 16604, 16443, 19911, 16443, 18872, 16604, 16443, 27745, 16443, 18357, 16443, 18872, 16443, 18357, 16443, 18872, 16476, 16446, 16439, 16387, 16395, 19189, 19134, 57333, 16647, 63923, 20937, 16673, 16647, 17917, 16604, 16387, 16387, 16443, 36842, 16474, 16470, 16476, 16446, 16474, 16443, 29517, 16395, 16439, 16476, 16391, 16461, 16392, 16604, 16412, 16604, 16474, 16443, 19911, 16443, 18872, 16474, 16443, 19911, 16443, 16474, 16443, 24673, 16604, 16443, 16642, 16604, 16443, 29517, 16477, 16409, 16477, 16604, 16474, 16443, 19911, 16443, 18872, 16604, 16443, 19911, 16443, 18872, 16604, 16443, 24673, 16443, 18357, 16443, 18872, 16443, 18357, 16443, 18872, 16476, 16446, 16439, 16604, 16443, 26057, 16686, 16443, 18357, 16443, 16476, 16476, 16443, 18357, 16443, 18872, 16476, 16395, 16387, 16387, 17437, 52369, 19134, 57333, 16647, 63923, 20937, 16673, 16647, 17917, 16604, 16387, 16387, 16443, 36842, 16474, 16466, 16476, 16446, 16443, 29517, 16391, 16461, 16392, 16604, 16412, 16604, 16474, 16443, 19911, 16443, 18872, 16474, 16443, 19911, 16443, 16474, 16443, 26210, 16604, 16443, 16459, 29020, 16604, 16443, 29517, 16477, 16409, 16477, 16604, 16442, 16443, 29517, 16409, 16443, 26210, 16444, 16443, 26057, 16686, 16443, 18357, 16443, 16476, 16476, 16443, 18357, 16443, 18872, 16476, 16397, 16387, 16387, 17999, 18077, 16647, 24375, 17415, 19189, 16674, 52369, 19134, 16742, 32889, 16647, 17092, 16673, 16641, 21940, 16673, 19126, 16409, 16582, 16582, 16393, 16393, 24140, 16604, 16400, 16397, 16393, 16393, 16604, 16393, 18105, 16704, 16647, 32496, 32415, 16604, 16387, 16443, 36842, 16474, 16421, 16476, 16446, 16474, 16443, 29517, 16395, 16439, 16476, 16391, 16461, 16392, 16387, 17274, 16721, 16715, 17155, 19189, 16604, 16387, 16443, 24673, 16387, 16672, 16604, 16387, 16443, 29517, 16387, 16673, 19189, 20570, 16767, 17154, 16604, 16387, 16461, 16387, 16395, 16986, 23496, 16641, 31471, 21304, 19732, 52369, 16673, 21304, 16767, 17154, 16604, 16387, 16443, 36842, 16474, 16421, 16476, 16446, 16474, 16443, 29517, 16395, 16439, 16476, 16391, 16461, 16392, 16387, 16721, 28813, 16671, 21005, 16604, 16387, 16443, 24673, 16387, 16414, 16393, 16582, 16582, 18313, 17134, 16721, 16647, 63923, 20937, 16673, 16604, 16387, 16443, 36842, 16474, 16421, 16476, 16446, 16474, 16443, 29517, 16395, 16439, 16476, 16391, 16461, 16392, 16387, 22021, 16647, 63929, 17415, 19189, 16674, 52369, 19134, 16395, 16742, 20131, 16647, 18211, 33740, 16604, 16391, 19914, 23728, 16604, 16443, 16442, 16431, 55930, 16443, 16444, 16715, 16641, 19406, 23255, 16392, 16409, 16604, 16387, 16387, 16443, 19974, 16474, 40017, 16424, 17022, 29606, 16476, 16582, 16443, 19033, 16604, 16391, 16443, 36842, 16474, 16470, 16476, 16446, 16474, 16443, 29517, 16395, 16439, 16476, 16391, 16461, 16392, 16392, 16604, 16443, 26057, 16604, 16443, 36842, 16474, 16466, 16476, 16446, 16443, 29517, 16391, 16443, 36842, 16474, 16421, 16476, 16446, 16474, 16443, 29517, 16395, 16439, 16476, 16391, 16401, 16461, 16392, 16392, 16443, 19033, 16604, 16391, 16443, 36842, 16474, 16421, 16476, 16446, 16474, 16443, 29517, 16395, 16439, 16476, 16391, 16401, 16461, 16392, 16392, 16397, 16387, 16387, 19736, 17092, 17539, 16395, 16944, 36845, 16709, 16875, 18835, 17854, 16604, 16391, 16443, 16442, 40017, 16424, 17022, 29606, 16443, 16444, 16392, 16395, 16704, 16647, 18211, 16397, 16582, 16582, 16443, 16442, 34401, 16656, 18688, 22317, 53322, 16757, 16443, 16444, 17426, 16604, 16387, 16443, 29517, 16387, 16704, 16641, 17266, 19467, 23540, 25544, 17585, 16395, 17177, 16647, 18211, 16769, 24523, 16409, 16582, 16582, 16396, 16650, 16604, 16387, 16443, 36842, 16474, 16421, 16476, 16446, 16474, 16443, 29517, 16395, 16439, 16476, 16391, 16461, 16392, 16604, 16443, 26057, 16604, 16391, 16443, 19033, 16391, 16461, 16392, 16392, 16445, 16465, 16387, 16715, 16991, 16604, 16387, 16465, 16387, 16397, 16582, 16582, 16396, 16650, 16604, 16387, 16443, 29517, 16387, 16704, 28964, 23297, 29337, 16682, 16397, 16582, 16582, 18264, 17266, 19467, 23540, 25544, 19318, 16721, 16704, 16804, 28964, 23297, 29337, 16682, 16395, 37115, 16604, 16443, 16442, 34401, 16656, 18688, 22317, 53322, 16757, 16443, 16444, 30270, 16604, 16387, 16443, 36842, 16474, 16421, 16476, 16446, 16474, 16443, 29517, 16395, 16439, 16476, 16391, 16461, 16392, 16604, 16443, 16461, 26057, 16604, 16391, 16443, 19033, 16391, 16461, 16392, 16392, 16445, 16465, 16387, 16715, 16998, 16604, 16387, 16465, 16604, 16413, 16399, 16387, 16397, 17544, 16811, 17568, 16673, 19318, 16395, 16742, 16843, 19077, 16811, 19251, 21011, 16397, 59361, 17146, 16697, 16395, 16742, 16807, 16647, 18211, 17539, 17205, 19914, 23728, 16604, 16443, 16442, 16431, 55930, 16443, 16444, 16715, 16647, 23208, 16673, 16604, 16387, 16443, 19583, 16718, 16464, 16387, 16397, 16582, 16582, 16443, 16442, 48449, 36502, 26306, 16443, 16444, 19412, 16604, 16387, 16443, 29517, 16387, 16703, 16641, 17585, 16721, 21998, 16641, 17975, 18558, 17060, 17953, 17585, 16673, 21410, 16604, 16387, 16460, 16387, 16397, 19488, 16604, 16387, 16387, 16461, 16445, 16474, 16400, 16398, 16402, 16476, 16604, 16443, 19583, 16718, 16464, 16604, 16443, 36842, 16474, 16421, 16476, 16446, 16474, 16443, 29517, 16395, 16439, 16476, 16391, 16461, 16392, 16397, 16387, 16387, 16582, 16582, 16853, 29723, 16715, 16647, 23255, 16673, 37115, 16604, 16443, 16442, 48449, 36502, 26306, 16443, 16444, 18526, 16815, 16647, 18077, 16673, 16604, 16387, 16443, 36842, 16474, 16421, 16476, 16446, 16474, 16474, 16443, 30993, 16474, 16474, 16443, 30993, 16474, 16443, 23462, 16474, 16441, 16476, 16476, 16476, 16476, 16476, 16395, 16439, 16476, 16391, 16461, 16392, 16387, 16395, 17187, 16647, 24133, 27928, 37115, 16674, 17965, 18545, 19133, 17189, 18288, 19251, 16674, 23231, 37773, 16715, 16604, 16387, 16443, 36842, 16474, 16421, 16476, 16446, 16474, 16474, 16443, 30993, 16474, 16474, 16443, 30993, 16474, 16443, 23462, 16474, 16441, 16476, 16476, 16476, 16476, 16476, 16395, 16439, 16476, 16391, 16461, 16392, 16387, 16397, 16875, 23728, 16604, 16443, 16442, 27769, 23535, 53322, 16757, 16443, 16444, 16395, 16742, 25929, 16811, 19474, 16809, 18723, 19310, 17965, 18545, 19133, 17189, 16671, 17266, 19467, 23540, 19318, 16604, 16391, 16448, 18655, 19474, 16763, 17027, 18711, 16672, 16647, 19090, 16673, 27258, 16705, 16604, 16442, 16415, 43116, 16705, 16444, 16392, 16397, 28106, 16734, 16811, 41933, 16395, 37115, 16604, 16443, 16442, 48449, 36502, 26306, 16443, 16444, 16674, 16647, 23231, 21011, 16673, 16604, 16387, 16461, 16445, 16402, 16387, 20916, 16672, 16604, 16442, 16415, 16417, 16663, 16444, 16395, 16604, 16442, 16415, 16433, 16821, 16642, 16444, 16843, 16703, 27716, 16741, 16641, 21801, 24133, 27928, 37115, 16715, 17953, 19318, 17608, 16647, 24133, 27928, 37115, 33231, 16604, 16387, 16443, 36842, 16474, 16421, 16476, 16446, 16474, 16443, 30993, 16474, 16474, 16443, 30993, 16474, 16443, 23462, 16474, 16441, 16476, 16476, 16476, 16476, 16476, 16391, 16461, 16392, 16604, 16443, 57188, 16604, 16443, 19033, 16391, 16461, 16392, 16387, 16397, 37460, 16395, 16908, 16913, 16775, 17063, 17064, 25106, 40335, 16604, 16442, 16415, 64499, 16444, 22818, 16647, 19251, 21011, 16673, 16604, 16387, 16461, 16445, 16474, 16400, 16398, 16402, 16476, 16387, 16671, 16604, 16387, 16461, 16445, 16474, 16401, 16398, 16402, 16476, 16387, 16397, 16711, 23655, 19769, 16704, 16721, 16604, 16387, 16443, 36842, 16474, 16421, 16476, 16446, 16474, 16421, 16446, 16460, 16395, 16439, 16476, 16391, 16461, 16392, 16604, 16443, 57188, 16686, 16387, 16395, 17891, 37305, 23827, 16647, 23231, 16785, 19251, 21011, 16704, 18365, 16397, 17119, 20430, 16647, 24223, 16671, 16604, 16442, 16415, 64499, 16444, 16715, 19642, 19126, 16674, 52897, 17342, 16397, 16582, 16582, 18377, 16769, 16977, 19588, 19223, 16671, 20165, 16647, 63929, 17415, 19189, 16674, 52369, 19134, 16397, 19412, 16604, 16387, 16417, 16446, 16474, 16443, 29517, 16395, 16439, 16476, 16391, 16461, 16392, 16387, 39445, 16604, 16387, 16461, 16387, 17064, 18371, 16672, 16604, 16387, 16443, 29517, 16387, 16715, 16647, 19189, 32575, 19970, 16671, 16647, 30484, 17280, 16604, 16387, 16439, 16387, 16397, 19736, 17711, 27317, 16704, 30930, 16809, 16647, 18211, 18283, 17205, 16642, 16647, 19978, 16395, 16604, 16387, 16417, 16446, 16474, 16443, 29517, 16395, 16439, 16476, 16391, 16461, 16392, 16387, 16704, 16647, 32575, 16604, 16387, 16461, 16387, 17064, 18371, 16734, 18577, 16671, 16647, 19189, 32575, 16604, 16387, 16474, 16443, 19911, 16443, 18872, 16604, 16443, 19911, 16443, 18872, 16604, 16443, 27745, 16443, 18357, 16443, 18872, 16443, 18357, 16443, 18872, 16476, 16446, 16439, 16387, 16409, 16582, 16582, 16393, 16393, 24140, 16604, 16401, 16397, 16393, 16393, 16604, 16393, 18105, 16704, 16647, 53608, 16798, 16604, 16387, 16443, 36842, 16474, 16422, 16476, 16446, 16474, 16443, 29517, 16395, 16439, 16476, 16391, 16461, 16392, 16387, 16673, 16647, 32496, 31471, 17585, 16604, 16387, 16432, 16387, 17274, 16721, 16986, 23496, 16641, 17331, 17111, 16802, 18826, 49359, 16604, 16387, 16474, 16443, 30695, 16476, 16474, 16443, 30993, 16474, 16443, 50612, 16476, 16476, 16443, 29517, 16604, 16443, 16928, 17695, 16387, 16734, 16647, 19329, 16721, 16604, 16387, 16474, 16443, 30695, 16476, 16387, 30014, 16671, 16604, 16387, 16417, 16446, 16474, 16443, 29517, 16395, 16439, 16476, 16391, 16461, 16392, 16387, 16704, 30054, 16802, 16414, 16393, 16582, 16582, 17507, 17322, 16604, 16387, 16443, 36842, 16474, 16422, 16476, 16446, 16474, 16443, 29517, 16395, 16439, 16476, 16391, 16461, 16392, 16387, 16647, 16604, 16393, 16791, 16699, 17104, 16695, 25154, 17917, 16393, 16674, 28517, 16604, 16387, 16443, 36842, 16474, 16422, 16476, 16446, 16474, 16443, 29517, 16395, 16439, 16476, 16391, 16461, 16392, 16387, 16671, 16604, 16387, 16443, 36842, 16474, 16421, 16476, 16446, 16474, 16443, 29517, 16395, 16439, 16476, 16387, 16674, 16604, 16387, 16443, 36842, 16474, 16470, 16476, 16446, 16474, 16443, 29517, 16395, 16439, 16476, 16391, 16461, 16392, 16387, 16715, 16641, 17568, 16673, 19318, 23858, 17975, 16396, 26452, 16936, 24068, 63586, 19318, 16410, 27258, 16705, 16604, 16442, 16415, 43116, 16705, 16444, 23954, 17585, 20383, 16709, 31471, 19318, 16673, 27954, 18383, 16395, 16641, 18234, 16721, 16704, 19359, 16671, 38925, 16695, 25154, 16674, 16647, 16695, 25154, 16673, 16641, 42071, 17949, 21405, 16715, 16641, 31471, 17585, 16397, 38403, 16395, 16742, 19646, 16647, 18211, 33740, 16604, 16391, 19914, 23728, 16604, 16443, 16442, 27769, 23535, 53322, 16757, 16443, 16444, 16715, 16641, 24860, 23289, 16673, 16647, 17568, 16673, 19318, 16715, 16944, 16811, 33740, 22952, 16392, 16409, 16604, 16387, 16387, 16443, 19974, 16474, 40017, 16422, 25154, 21711, 16725, 16476, 16582, 16443, 36842, 16474, 16422, 16476, 16446, 16474, 16443, 29517, 16395, 16439, 16476, 16391, 16461, 16398, 16401, 16392, 16604, 16443, 26057, 16650, 16443, 36842, 16474, 16421, 16476, 16446, 16474, 16443, 29517, 16395, 16439, 16476, 16474, 16443, 19911, 16391, 16604, 16405, 16461, 16391, 16443, 36842, 16474, 16470, 16476, 16446, 16474, 16443, 29517, 16395, 16439, 16476, 16391, 16461, 16392, 16392, 16445, 16474, 16401, 16476, 16604, 16443, 18357, 16392, 16604, 16476, 16397, 16387, 16387, 19736, 17718, 17539, 18937, 16721, 38925, 16695, 25154, 22072, 18615, 16647, 17396, 19134, 42530, 54408, 16741, 19189, 16674, 52369, 19134, 17205, 19914, 16604, 16442, 16415, 16454, 16787, 17063, 16444, 16674, 16604, 16442, 16415, 16459, 16910, 16710, 23896, 16396, 16401, 16399, 16399, 16402, 16444, 16397, 16582, 16582, 16443, 16442, 16422, 25154, 39185, 27875, 17002, 53322, 16757, 16443, 16444, 17426, 16604, 16387, 16443, 29517, 16387, 16704, 16641, 17266, 19467, 23540, 17585, 17177, 16647, 18211, 16769, 24523, 16397, 16582, 16582, 16396, 16650, 16604, 16387, 16443, 36842, 16474, 16422, 16476, 16446, 16474, 16443, 29517, 16395, 16439, 16476, 16391, 16461, 16392, 16604, 16443, 26057, 16686, 16445, 16465, 16387 ]
[ 0, 38194, 16604, 16474, 16386, 16466, 16400, 16476, 16582, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16582, 16582, 35732, 17796, 25290, 16647, 18843, 16673, 21336, 39164, 16809, 42316, 23703, 16674, 21216, 25499, 17624, 16395, 16674, 16914, 37859, 16672, 16641, 29166, 18692, 16409, 18055, 20693, 16604, 16391, 43950, 16410, 24960, 17094, 17949, 16395, 16604, 16442, 16415, 16417, 16403, 16444, 16392, 16397, 16711, 23490, 30483, 16673, 19395, 16704, 27626, 17073, 28602, 19927, 16397, 16999, 17686, 21384, 17047, 16671, 22004, 18462, 39164, 16815, 16647, 59017, 17104, 19696, 16673, 46897, 16674, 20470, 16443, 16390, 19461, 16674, 20964, 16604, 16391, 44716, 16396, 16427, 52550, 16395, 16604, 16442, 16415, 16417, 16402, 16408, 16444, 16392, 16397, 26367, 16395, 18846, 17970, 19395, 27592, 17274, 16741, 19680, 19003, 49301, 16395, 32582, 16395, 16674, 27759, 17613, 19470, 16769, 51819, 16397, 17513, 19881, 16673, 24366, 22825, 31820, 22359, 16674, 20093, 16721, 17047, 17754, 16914, 19761, 21882, 19796, 16647, 18734, 17650, 16397, 31343, 16647, 20808, 20960, 16673, 39164, 16395, 18846, 29166, 25004, 18616, 20470, 16671, 17754, 16647, 19708, 16673, 16647, 21535, 16672, 18282, 16395, 16671, 23247, 16815, 16917, 17242, 16396, 31988, 16671, 16647, 17718, 16395, 16671, 21456, 39164, 16809, 58948, 22279, 26909, 37539, 16604, 16391, 16427, 33621, 16392, 17624, 16395, 16674, 16671, 47115, 16674, 60023, 36392, 22089, 16674, 24739, 16397, 16772, 47569, 16673, 17213, 19680, 29166, 25004, 26271, 16721, 17047, 39224, 16858, 16914, 47158, 20078, 16672, 16641, 24389, 16674, 46095, 17210, 16604, 16391, 19914, 16395, 23005, 58003, 21325, 17011, 18517, 17605, 16813, 16397, 16395, 16604, 16442, 16415, 16417, 16401, 16405, 16444, 16392, 16397, 16582, 16582, 16853, 17889, 18814, 16721, 18846, 17970, 19395, 27592, 17274, 16741, 32582, 21846, 16672, 19461, 26764, 16674, 62856, 16767, 17613, 16872, 16992, 26386, 23693, 16815, 16647, 22410, 16673, 16647, 18774, 17415, 23550, 16674, 22458, 18980, 16604, 16391, 19914, 16395, 16693, 16397, 16454, 16397, 16395, 44588, 20434, 17605, 16813, 16397, 16395, 16604, 16442, 16415, 16417, 16406, 16400, 16444, 16410, 42139, 16472, 17605, 16813, 16397, 16395, 16604, 16442, 16415, 16417, 16401, 16399, 16444, 16410, 16965, 17480, 17605, 16813, 16397, 16395, 16604, 16442, 16415, 16417, 16406, 16408, 16444, 16392, 16397, 48748, 20571, 29110, 29010, 16807, 23976, 21365, 23550, 16395, 20278, 25727, 23550, 16395, 16741, 16641, 21672, 18138, 16709, 28602, 32582, 16604, 16391, 19914, 54802, 24285, 16395, 16604, 16442, 16415, 16417, 16406, 16404, 16444, 16410, 44588, 20434, 16395, 16604, 16442, 16415, 16417, 16406, 16401, 16444, 16392, 16397, 16759, 22654, 22900, 16807, 26447, 16721, 16641, 25573, 22825, 16673, 25727, 23550, 16704, 59080, 32582, 16604, 16391, 19914, 25157, 49502, 16395, 16604, 16442, 16415, 16417, 16400, 16403, 16444, 16410, 48427, 16676, 17605, 16813, 16397, 16395, 16604, 16442, 16415, 16417, 16401, 16400, 16444, 16392, 16395, 16721, 16704, 16395, 16647, 19629, 16671, 21986, 16674, 34429, 16647, 22144, 17415, 19705, 21336, 39164, 16397, 17376, 16641, 17679, 16673, 19831, 16807, 19628, 16395, 23550, 16704, 18366, 16647, 17514, 18494, 58736, 16673, 22458, 29247, 16672, 24366, 24454, 16604, 16391, 16426, 16720, 21151, 17605, 16813, 16397, 16395, 16604, 16442, 16415, 16417, 16403, 16404, 16444, 16410, 42139, 16472, 17605, 16813, 16397, 16395, 16604, 16442, 16415, 16417, 16401, 16399, 16444, 16392, 16395, 20278, 16672, 34002, 16396, 35329, 52369, 16673, 17613, 24454, 16604, 16391, 16433, 17201, 17605, 16813, 16397, 16395, 16604, 16442, 16415, 16417, 16405, 16402, 16444, 16392, 16397, 16772, 45751, 17494, 17415, 25727, 23550, 22076, 16674, 22458, 29247, 23975, 16809, 18238, 16673, 19587, 64605, 22076, 16769, 17473, 16604, 16399, 16397, 16404, 16785, 18846, 16604, 16391, 19914, 16395, 16693, 16397, 16454, 16397, 16395, 18381, 17110, 16646, 17605, 16813, 16397, 16395, 16604, 16442, 16415, 16417, 16404, 16400, 16444, 16410, 60882, 17605, 16813, 16397, 16395, 16604, 16442, 16415, 16417, 16404, 16404, 16444, 16410, 17916, 16680, 16674, 62084, 16396, 16428, 24370, 19657, 16395, 16604, 16442, 16415, 16417, 16400, 16406, 16444, 16410, 42139, 16472, 17605, 16813, 16397, 16395, 16604, 16442, 16415, 16417, 16401, 16399, 16444, 16392, 16395, 25743, 17014, 16647, 22458, 29247, 22021, 16769, 18138, 16709, 19772, 30554, 16647, 45751, 20903, 16671, 16703, 17473, 16604, 16399, 16397, 16404, 16785, 19251, 16604, 16391, 19914, 17465, 18552, 17605, 16813, 16397, 16395, 16604, 16442, 16415, 16417, 16405, 16407, 16444, 16392, 16397, 17170, 19591, 16704, 16672, 25828, 16734, 16647, 18466, 16673, 19831, 16721, 20332, 16721, 23361, 16672, 32582, 27592, 16958, 17027, 28950, 16809, 22818, 19470, 16673, 27357, 18910, 18798, 16604, 16391, 54436, 28878, 16674, 17829, 22196, 16395, 16604, 16442, 16415, 16417, 16403, 16402, 16444, 16392, 16397, 16711, 18230, 25659, 16961, 16703, 16721, 25727, 23550, 16704, 19970, 16734, 32582, 27592, 16604, 16391, 33982, 16672, 32597, 16674, 38097, 16802, 16392, 19423, 16672, 20287, 16674, 32420, 20318, 19680, 19153, 16604, 16391, 44495, 18837, 16674, 51198, 19173, 16395, 16604, 16442, 16415, 16417, 16402, 16402, 16444, 16392, 16397, 16582, 16582, 18377, 16704, 16641, 22439, 17009, 30496, 19474, 16709, 19395, 16674, 32582, 16672, 16944, 47158, 21846, 16641, 25573, 18814, 16409, 27083, 16396, 25619, 29010, 16604, 16391, 19914, 22550, 20163, 16395, 16604, 16442, 16415, 16417, 16405, 16406, 16444, 16410, 24289, 40966, 16395, 16604, 16442, 16415, 16417, 16406, 16399, 16444, 16410, 32105, 16395, 16604, 16442, 16415, 16417, 16401, 16401, 16444, 16410, 16908, 27420, 25327, 16395, 16604, 16442, 16415, 16417, 16403, 16399, 16444, 16410, 32105, 16674, 24289, 40966, 16395, 16604, 16442, 16415, 16417, 16401, 16403, 16444, 16392, 16397, 18708, 29010, 17498, 21663, 16647, 23731, 16673, 17142, 17476, 20286, 16673, 19395, 16409, 19750, 16604, 16400, 16604, 16391, 16974, 58173, 16392, 16674, 19750, 16604, 16401, 16604, 16391, 25910, 19842, 17225, 16392, 16397, 19750, 16604, 16400, 16704, 19535, 16395, 39220, 16395, 18746, 17225, 16674, 16804, 27158, 16709, 47158, 16397, 19750, 16604, 16400, 20634, 20470, 16671, 19988, 18291, 38668, 24739, 16721, 16843, 16703, 21038, 16850, 17027, 16641, 19419, 16673, 56497, 27113, 16397, 17813, 16647, 16977, 17459, 16395, 19750, 16604, 16401, 16704, 19751, 16395, 25122, 16395, 24389, 16674, 24906, 24053, 16671, 18188, 16756, 16443, 16390, 47158, 16741, 17204, 16741, 16914, 19395, 28788, 17978, 16785, 21336, 28641, 16397, 47158, 16704, 20781, 16641, 33295, 20732, 16673, 36611, 19750, 16604, 16401, 22402, 16397, 19750, 16604, 16401, 22402, 16704, 19062, 16671, 24651, 19680, 19395, 16674, 32582, 19153, 16395, 20290, 16811, 16704, 16804, 16641, 23454, 20249, 16715, 21038, 24739, 16397, 20361, 27083, 16396, 48144, 29010, 22921, 19750, 16604, 16400, 22402, 33231, 38668, 24739, 16721, 26230, 19750, 16604, 16401, 28023, 16725, 17123, 16785, 17123, 16804, 33157, 16397, 24289, 40966, 17605, 16813, 16397, 16604, 16391, 16442, 16415, 16417, 16405, 16408, 16444, 16392, 18385, 16721, 28023, 17225, 32582, 21384, 46160, 19982, 19750, 16604, 16400, 16397, 20956, 16465, 19982, 19750, 16604, 16400, 16674, 58948, 19750, 16604, 16401, 26271, 16667, 18403, 16443, 16390, 16466, 22318, 18123, 16395, 16741, 17204, 16741, 16641, 18840, 21605, 16671, 17133, 27227, 16674, 21098, 16647, 39781, 25763, 16673, 19153, 16397, 24024, 18123, 22089, 20781, 17156, 16641, 25573, 18814, 16672, 36611, 19750, 16604, 16401, 22089, 16604, 16391, 19914, 17267, 18381, 17129, 16674, 20359, 16768, 16675, 16675, 16395, 16604, 16442, 16415, 16417, 16400, 16407, 16444, 16410, 32105, 16395, 16604, 16442, 16415, 16417, 16401, 16402, 16444, 16410, 30108, 16395, 16604, 16442, 16415, 16417, 16406, 16403, 16444, 16392, 16397, 19750, 16604, 16401, 17917, 30445, 16671, 18723, 22021, 16673, 29166, 19629, 17274, 16741, 41474, 16604, 16391, 24573, 20427, 16983, 18917, 16701, 17538, 16392, 16395, 25743, 19750, 16604, 16400, 17917, 17257, 16804, 16604, 16391, 46652, 40966, 16395, 16604, 16442, 16415, 16417, 16406, 16399, 16444, 16392, 16397, 49013, 17650, 29010, 16673, 19395, 16807, 16992, 23693, 20140, 16672, 38097, 16802, 32582, 25004, 16674, 16986, 16704, 16641, 17563, 16673, 19591, 16715, 16647, 37024, 16673, 17490, 19258, 16673, 19395, 16672, 21252, 19297, 16674, 44963, 16905, 18815, 32582, 16604, 16391, 19914, 17267, 18381, 17129, 16395, 16604, 16442, 16415, 16417, 16400, 16408, 16444, 16410, 32105, 16395, 16604, 16442, 16415, 16417, 16401, 16401, 16444, 16410, 47044, 16663, 55684, 16395, 16604, 16442, 16415, 16417, 16404, 16444, 16392, 16397, 16582, 16582, 47133, 16661, 16704, 16641, 17936, 16673, 19395, 19962, 16721, 16872, 16641, 24860, 20089, 17411, 16395, 16641, 17280, 16673, 34601, 16395, 16674, 16647, 19708, 16673, 25007, 16641, 25228, 16397, 16875, 36942, 16395, 16647, 25228, 25290, 16667, 50253, 16672, 51566, 17624, 16410, 25743, 16672, 47254, 16647, 32458, 16829, 16804, 23006, 16998, 19031, 16672, 51566, 17624, 16604, 16391, 44716, 16396, 16427, 52550, 16395, 16604, 16442, 16415, 16417, 16402, 16407, 16444, 16392, 16397, 39843, 32582, 16395, 17199, 16647, 17154, 32790, 17936, 16395, 16704, 27626, 16641, 19680, 29698, 16721, 21384, 16721, 20470, 17482, 16641, 51819, 17650, 16721, 19497, 19001, 21399, 16674, 25004, 16395, 16674, 16647, 27470, 16815, 16917, 16671, 17653, 16397, 16711, 17711, 19419, 16673, 29312, 18526, 16815, 16647, 17109, 16671, 34849, 20022, 16674, 21456, 16672, 47158, 16647, 24366, 39164, 18964, 16671, 20251, 16891, 16641, 32582, 23286, 16397, 28106, 16395, 18403, 22383, 16672, 32582, 16769, 30169, 37033, 16734, 16647, 18636, 16673, 17624, 38974, 16843, 18262, 16672, 47158, 17437, 17783, 16647, 19062, 16672, 52071, 32582, 21535, 16604, 16391, 16434, 17569, 19937, 17605, 16813, 16397, 16395, 16604, 16442, 16415, 16417, 16405, 16403, 16444, 16392, 16397, 16582, 16582, 18377, 16769, 24366, 29010, 16673, 47254, 16395, 16647, 17142, 17154, 17889, 17255, 16721, 16673, 16604, 16385, 37467, 20248, 16385, 16674, 16604, 16385, 37467, 20609, 16397, 16385, 21937, 16671, 21336, 20248, 29010, 16395, 17047, 25450, 16641, 17280, 16673, 20248, 16395, 16641, 19373, 16673, 16604, 16385, 30832, 25994, 16385, 16815, 16944, 16873, 20378, 16641, 25228, 16809, 18211, 16641, 23286, 16673, 21399, 16604, 16391, 19914, 16778, 18719, 16395, 16604, 16442, 16415, 16417, 16405, 16401, 16444, 16410, 20945, 16856, 16674, 16830, 16443, 16390, 40765, 16395, 16604, 16442, 16415, 16417, 16407, 16444, 16392, 16397, 16772, 17788, 16985, 16395, 18919, 16395, 16872, 16992, 23120, 16674, 21996, 16891, 18745, 16671, 16647, 21336, 18528, 19474, 16397, 16772, 21336, 18528, 21193, 16673, 32582, 17498, 34053, 16721, 17014, 20470, 18492, 38097, 16802, 19153, 16873, 22004, 20609, 16785, 29422, 16673, 16647, 20285, 16673, 60703, 23354, 16734, 17016, 16873, 23467, 16604, 16391, 19914, 22433, 16396, 16427, 52550, 16395, 16604, 16442, 16415, 16417, 16402, 16406, 16444, 16395, 16604, 16442, 16415, 16417, 16402, 16408, 16444, 16410, 22433, 16396, 16427, 52550, 16674, 59191, 16395, 16604, 16442, 16415, 16417, 16402, 16404, 16444, 16392, 16397, 34916, 20609, 17097, 18658, 17016, 16704, 18159, 18745, 16671, 16647, 34601, 16395, 16850, 16804, 17016, 16704, 19506, 16397, 17544, 20845, 16395, 16715, 16647, 43560, 16604, 16385, 16736, 16664, 16395, 17177, 22565, 16385, 17047, 17699, 22004, 16647, 18211, 18159, 29422, 16409, 16604, 16385, 16463, 16674, 22565, 16395, 16385, 16604, 16385, 18060, 16396, 16463, 16674, 22565, 16395, 16385, 16604, 16385, 18060, 16396, 16463, 16674, 16804, 16396, 16464, 16397, 16385, 16711, 17736, 30435, 16673, 18528, 21193, 22175, 16647, 25573, 18814, 16673, 47158, 16672, 47254, 16409, 26489, 16674, 56529, 20609, 16672, 17970, 16671, 20378, 16641, 25228, 52810, 29166, 16985, 16674, 18900, 16397, 17544, 19680, 38097, 16802, 19153, 16395, 16715, 20845, 20249, 17229, 16395, 18295, 29422, 16769, 18159, 16395, 16850, 17047, 17133, 16931, 16741, 17589, 32026, 16741, 18230, 17172, 16673, 16647, 28334, 16673, 16914, 47158, 16604, 16391, 44716, 16396, 16427, 52550, 16674, 59191, 16395, 16604, 16442, 16415, 16417, 16402, 16405, 16444, 16392, 16397, 23466, 16395, 18188, 16756, 16769, 18715, 16671, 19300, 17154, 16673, 16914, 16672, 21436, 16815, 16647, 20808, 16674, 38691, 25521, 16785, 20609, 16673, 16647, 34601, 16397, 16772, 18528, 21193, 16443, 16390, 16466, 24812, 31777, 16704, 20781, 24772, 16815, 16647, 17679, 16673, 20609, 19062, 16715, 25880, 16641, 25228, 16409, 16647, 16922, 20609, 16395, 16647, 20580, 16647, 18234, 16443, 16390, 16466, 26218, 16397, 18196, 16647, 17679, 16673, 20609, 16671, 16703, 18939, 16672, 18282, 16704, 21999, 16395, 32582, 35404, 16604, 16391, 16422, 25113, 23278, 16396, 30577, 17011, 18517, 17605, 16813, 16397, 16395, 16604, 16442, 16415, 16417, 16401, 16407, 16444, 16392, 16397, 17008, 16672, 52071, 25228, 16704, 23902, 21038, 16980, 16728, 22952, 16672, 16858, 16647, 20609, 16673, 16647, 34601, 16397, 23466, 16395, 21311, 16641, 21038, 25228, 16671, 19680, 19153, 21384, 16721, 20470, 17799, 18293, 39164, 16673, 34601, 16674, 38155, 20808, 32458, 16809, 26839, 16715, 18996, 16820, 36295, 16707, 18716, 16721, 16843, 17190, 17007, 19506, 16397, 19912, 16641, 21336, 18528, 22410, 16395, 23005, 58003, 16396, 30577, 17011, 18517, 17605, 16813, 16397, 16604, 16391, 16442, 16415, 16417, 16401, 16406, 16444, 16392, 16807, 31412, 16647, 20854, 22318, 22089, 16741, 16647, 25573, 47158, 22825, 16672, 16647, 25659, 16673, 21252, 19297, 32582, 18980, 16395, 16741, 17204, 16741, 17073, 18774, 16734, 16647, 17142, 19258, 16673, 32582, 22089, 16395, 19750, 16604, 16400, 16674, 19750, 16604, 16401, 16397, 17513, 17494, 19508, 45751, 17415, 47158, 16674, 32582, 24739, 16721, 18616, 17362, 19415, 16673, 21336, 19189, 16395, 16674, 20809, 45751, 17415, 47158, 16674, 32582, 24739, 16721, 18616, 18229, 19415, 16673, 21336, 16985, 16397, 26367, 16395, 17362, 47158, 20470, 16958, 16922, 17914, 16671, 21098, 48539, 24739, 16674, 26630, 16709, 16647, 51566, 17650, 16673, 47563, 20609, 16673, 16647, 20285, 16673, 34601, 16815, 16944, 16873, 35326, 19889, 32458, 16397, 44312, 16395, 19831, 16734, 44963, 16905, 18815, 32582, 19153, 16807, 50641, 16891, 16647 ]
[ 0, 38194, 16582, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16582, 16582, 20867, 16956, 30280, 17045, 17462, 16604, 16391, 16435, 17894, 16392, 16395, 17789, 29652, 19448, 16856, 16395, 28257, 16396, 49245, 18416, 16757, 18161, 27957, 16604, 16391, 28580, 16396, 23054, 16416, 16392, 16395, 17590, 16849, 27957, 16674, 34307, 16754, 27957, 16395, 16807, 16992, 52520, 16672, 16641, 17679, 16673, 24438, 41482, 27107, 27821, 19970, 16734, 41685, 16707, 21722, 28333, 36002, 16395, 17789, 53419, 16395, 18166, 24951, 16395, 16674, 45198, 16390, 16466, 20062, 16604, 16391, 16442, 16415, 16417, 16408, 16444, 16410, 16604, 16442, 16415, 16417, 16406, 16399, 16444, 16410, 16604, 16442, 16415, 16417, 16400, 16400, 16444, 16410, 16604, 16442, 16415, 16417, 16400, 16404, 16444, 16410, 16604, 16442, 16415, 16417, 16403, 16444, 16410, 16604, 16442, 16415, 16417, 16407, 16404, 16444, 16410, 16604, 16442, 16415, 16417, 16404, 16408, 16444, 16410, 16604, 16442, 16415, 16417, 16403, 16404, 16444, 16410, 16604, 16442, 16415, 16417, 16404, 16444, 16392, 16397, 16700, 17894, 16769, 18735, 37087, 16395, 30213, 17587, 16674, 17917, 16834, 19359, 16671, 41685, 16707, 17462, 16395, 16674, 16769, 49272, 16672, 31225, 44856, 16809, 17382, 16668, 19491, 61227, 16673, 16647, 34226, 32245, 16721, 21071, 16741, 17036, 30583, 17035, 16715, 58442, 16604, 16391, 20628, 16392, 16395, 21575, 16705, 16826, 37335, 16395, 16674, 17451, 60514, 16604, 16391, 16442, 16415, 16417, 16403, 16444, 16392, 16397, 16700, 17894, 16769, 17875, 16672, 60922, 32113, 16767, 17238, 18229, 16604, 16391, 30276, 16680, 19992, 16392, 29879, 16604, 16391, 16442, 16415, 16417, 16402, 16403, 16444, 16392, 16395, 16674, 16769, 25499, 16672, 41685, 16707, 21722, 28333, 31225, 44856, 17187, 16873, 16769, 19688, 18226, 16734, 41685, 16707, 17462, 16604, 16391, 16442, 16415, 16417, 16400, 16400, 16444, 16392, 16397, 16700, 17894, 16769, 23611, 16741, 49444, 16715, 41685, 27957, 17333, 17938, 17500, 16395, 27742, 39755, 17415, 16647, 26080, 16673, 56293, 19415, 16673, 16700, 17894, 16674, 41685, 16707, 17462, 16604, 16391, 16442, 16415, 16417, 16404, 16407, 16444, 16410, 16604, 16442, 16415, 16417, 16400, 16405, 16444, 16410, 16604, 16442, 16415, 16417, 16407, 16401, 16444, 16410, 16604, 16442, 16415, 16417, 16404, 16403, 16444, 16410, 16604, 16442, 16415, 16417, 16405, 16402, 16444, 16392, 16397, 32517, 16657, 16649, 41363, 28101, 16674, 31395, 19831, 24396, 16721, 16700, 17894, 16807, 16641, 17374, 34236, 21449, 16709, 41685, 16707, 21722, 28333, 24438, 21527, 19693, 16395, 16672, 18343, 16709, 29432, 16707, 21722, 28333, 25258, 16395, 16944, 16704, 23078, 18325, 19705, 45254, 23820, 16604, 16391, 16442, 16415, 16417, 16402, 16400, 16444, 16410, 16604, 16442, 16415, 16417, 16408, 16404, 16444, 16395, 16604, 16442, 16415, 16417, 16408, 16405, 16444, 16410, 16604, 16442, 16415, 16417, 16407, 16405, 16444, 16410, 16604, 16442, 16415, 16417, 16403, 16404, 16444, 16410, 16604, 16442, 16415, 16417, 16405, 16400, 16444, 16392, 16397, 16711, 23789, 16672, 41151, 19415, 16872, 16992, 21270, 16671, 16703, 19970, 16734, 35251, 19619, 16604, 16391, 16442, 16415, 16417, 16406, 16406, 16444, 16410, 16604, 16442, 16415, 16417, 16406, 16408, 16444, 16410, 16604, 16442, 16415, 16417, 16401, 16400, 16444, 16410, 16604, 16442, 16415, 16417, 16406, 16405, 16444, 16410, 16604, 16442, 16415, 16417, 16408, 16400, 16444, 16410, 16604, 16442, 16415, 16417, 16400, 16400, 16444, 16392, 16397, 41151, 19415, 16769, 28282, 16809, 38455, 16673, 41685, 27957, 31081, 16954, 16711, 16674, 16738, 16672, 21617, 17187, 16647, 24284, 24507, 16807, 16992, 32878, 16604, 16391, 16442, 16415, 16417, 16403, 16400, 16444, 16392, 16397, 16582, 16582, 18264, 16641, 17301, 17005, 16647, 32344, 18918, 19938, 16673, 16700, 17894, 16958, 32644, 16671, 16641, 17815, 33384, 16734, 17045, 21722, 28333, 33582, 16395, 16903, 18015, 16647, 16950, 29336, 16674, 40545, 16673, 16641, 18122, 17797, 16673, 16796, 22036, 16396, 52820, 24897, 39043, 16395, 20472, 30280, 17045, 16856, 16396, 41792, 39043, 16604, 16391, 22238, 18016, 16466, 16392, 16944, 16958, 17494, 16671, 16703, 33331, 16809, 16700, 17894, 16604, 16391, 16442, 16415, 16417, 16407, 16444, 16410, 16604, 16442, 16415, 16417, 16400, 16403, 16444, 16392, 16397, 18708, 39043, 26415, 16671, 16647, 58029, 16700, 17894, 18184, 16734, 18295, 42113, 21728, 16707, 17462, 16397, 42351, 16647, 20854, 27371, 17434, 16604, 16391, 16418, 22333, 16392, 16395, 41151, 18016, 16400, 16704, 23078, 16672, 52078, 33349, 16396, 49880, 16395, 28025, 16395, 36066, 17462, 16395, 43342, 49685, 16395, 16674, 42164, 34784, 16604, 16391, 16442, 16415, 16417, 16408, 16401, 16444, 16410, 16604, 16442, 16415, 16417, 16403, 16404, 16444, 16410, 16604, 16442, 16415, 16417, 16404, 16444, 16392, 16397, 16999, 16704, 20821, 19550, 16721, 58029, 16604, 16402, 16396, 18276, 29319, 17751, 27957, 16604, 16391, 16435, 16477, 16400, 16477, 18759, 16392, 16395, 16944, 16704, 16641, 30403, 16673, 43342, 36758, 16604, 16391, 30281, 28389, 16856, 16395, 16785, 16700, 16477, 16403, 16477, 16392, 16395, 16872, 16992, 17494, 16671, 16703, 16667, 58029, 46432, 16771, 16767, 41151, 18016, 16400, 16604, 16391, 16442, 16415, 16417, 16407, 16399, 16444, 16410, 16604, 16442, 16415, 16417, 16402, 16405, 16444, 16410, 16604, 16442, 16415, 16417, 16401, 16405, 16444, 16392, 16397, 16772, 23789, 16673, 21554, 21452, 16674, 34947, 21425, 29983, 16809, 16700, 16477, 16400, 16477, 18759, 16395, 16944, 23065, 16671, 16647, 19938, 29983, 16809, 30121, 28389, 16856, 19302, 16395, 16807, 16992, 22738, 16671, 16703, 48774, 16809, 41151, 18016, 16400, 29304, 16604, 16391, 16442, 16415, 16417, 16407, 16399, 16444, 16410, 16604, 16442, 16415, 16417, 16400, 16399, 16402, 16444, 16410, 16604, 16442, 16415, 16417, 16400, 16407, 16444, 16410, 16604, 16442, 16415, 16417, 16401, 16405, 16444, 16410, 16604, 16442, 16415, 16417, 16402, 16402, 16444, 16410, 16604, 16442, 16415, 16417, 16401, 16401, 16444, 16392, 16397, 16875, 16647, 20483, 16395, 41151, 18016, 16400, 16704, 47042, 16672, 16647, 18166, 52140, 16673, 16647, 41685, 16707, 21722, 28333, 17434, 17274, 16741, 16647, 22631, 17725, 16939, 20783, 16666, 18124, 16604, 16391, 16437, 22238, 16392, 16395, 22721, 16915, 55150, 16735, 36227, 30303, 16448, 16604, 16391, 30348, 16450, 16392, 16395, 54451, 61758, 18332, 16730, 16674, 17218, 31804, 52140, 16741, 17204, 16741, 16914, 35344, 25749, 16395, 16647, 21830, 17201, 16666, 42590, 16395, 22450, 16965, 65073, 28321, 35627, 16673, 17036, 24449, 16666, 45703, 16604, 16391, 16431, 22856, 16392, 16395, 17658, 16823, 16758, 44714, 16395, 17646, 29645, 16395, 44714, 17103, 18637, 17000, 16604, 16391, 19753, 16450, 16392, 16395, 58150, 16730, 16395, 16674, 17045, 16472, 41033, 20941, 16604, 16391, 16442, 16415, 16417, 16407, 16444, 16410, 16604, 16442, 16415, 16417, 16400, 16403, 16444, 16410, 16604, 16442, 16415, 16417, 16408, 16403, 16444, 16410, 16604, 16442, 16415, 16417, 16404, 16404, 16444, 16410, 16604, 16442, 16415, 16417, 16401, 16408, 16444, 16410, 16604, 16442, 16415, 16417, 16403, 16404, 16444, 16410, 16604, 16442, 16415, 16417, 16405, 16407, 16444, 16410, 16604, 16442, 16415, 16417, 16404, 16444, 16392, 16397, 18523, 16395, 16647, 21165, 41151, 18016, 16400, 39438, 19415, 16769, 20869, 17494, 16672, 16647, 29432, 16707, 21722, 28333, 18155, 19318, 16604, 16391, 16437, 22238, 16674, 28886, 16450, 16392, 16741, 19739, 16671, 16977, 20483, 23349, 16604, 16391, 16442, 16415, 16417, 16404, 16406, 16444, 16392, 16397, 16772, 23435, 20825, 20610, 16673, 41151, 18016, 16400, 18493, 16647, 17476, 54445, 27319, 16872, 16804, 16992, 18352, 20519, 21365, 16397, 48557, 16395, 17608, 17073, 26840, 16395, 41151, 18016, 16400, 16872, 29059, 16741, 16641, 17374, 30433, 16673, 41685, 16707, 21722, 28333, 22072, 16674, 16641, 61738, 16673, 20571, 16837, 16706, 64464, 19938, 16604, 16391, 16442, 16415, 16417, 16405, 16402, 16444, 16410, 16604, 16442, 16415, 16417, 16408, 16406, 16444, 16410, 16604, 16442, 16415, 16417, 16401, 16401, 16444, 16392, 16397, 16582, 16582, 38936, 17045, 16856, 16396, 41792, 32174, 16604, 16400, 16704, 29755, 16734, 28356, 19019, 16796, 16477, 16466, 16477, 26513, 16395, 16850, 17073, 32995, 17027, 25290, 16647, 16796, 22036, 21191, 33349, 16396, 16668, 17346, 16642, 16401, 16398, 16416, 19965, 16398, 31493, 17495, 21886, 26458, 16757, 16954, 35417, 16954, 16396, 16402, 28580, 16604, 16391, 29182, 16426, 16396, 16402, 28580, 16392, 31133, 16604, 16391, 16442, 16415, 16417, 16402, 16404, 16444, 16392, 16397, 16772, 24002, 31133, 16704, 18365, 16671, 16703, 41573, 16673, 16759, 16477, 16401, 16477, 39043, 16604, 16391, 16442, 16415, 16417, 16402, 16399, 16444, 16410, 16604, 16442, 16415, 16417, 16405, 16407, 16444, 16392, 16397, 17664, 16704, 19591, 16721, 41151, 18016, 16400, 59168, 20206, 16734, 16759, 16477, 16401, 16477, 32174, 16809, 28931, 29452, 16745, 16706, 16756, 16395, 18919, 16395, 16641, 39254, 20583, 16673, 16647, 32174, 16704, 17073, 51705, 28468, 16604, 16391, 16442, 16415, 16417, 16405, 16407, 16444, 16392, 16397, 17170, 51705, 18070, 21085, 16673, 16647, 32174, 16872, 16992, 24483, 16809, 25717, 16734, 29884, 41151, 18016, 16400, 26513, 17187, 16728, 16763, 21852, 16721, 16647, 16816, 23720, 16675, 31184, 20332, 28456, 51705, 21559, 16604, 16391, 16442, 16415, 16417, 16400, 16403, 16444, 16410, 16604, 16442, 16415, 16417, 16408, 16407, 16444, 16410, 16604, 16442, 16415, 16417, 16402, 16404, 16444, 16392, 16397, 16582, 16582, 16853, 55403, 16725, 16673, 41151, 18016, 16400, 17917, 16872, 16992, 26222, 48137, 16809, 16647, 18356, 16673, 37727, 32344, 18918, 21194, 16674, 16647, 21661, 16673, 39940, 41151, 18016, 16400, 22270, 20609, 16397, 16604, 16393, 16429, 16393, 16396, 16391, 16402, 16396, 17078, 32917, 16396, 59391, 16392, 16396, 16403, 16396, 64662, 17741, 55717, 16396, 16400, 16396, 18161, 16396, 16402, 16396, 18178, 16736, 18350, 16658, 16680, 24648, 16396, 58384, 41968, 16604, 16391, 25306, 27213, 16417, 16392, 16704, 16641, 37727, 41151, 18016, 16400, 57114, 16604, 16391, 16442, 16415, 16417, 16400, 16399, 16444, 16410, 16604, 16442, 16415, 16417, 16407, 16406, 16444, 16392, 16395, 25743, 18295, 46432, 17523, 16395, 17789, 32574, 16404, 16400, 16405, 16405, 16399, 16400, 16406, 16395, 52682, 16671, 41151, 18016, 16400, 16734, 17362, 43340, 16604, 16391, 16442, 16415, 16417, 16406, 16402, 16444, 16392, 16397, 41151, 18016, 16400, 56276, 16604, 16391, 46173, 16392, 27029, 20329, 16807, 16992, 23540, 16671, 18613, 59909, 16758, 16647, 18814, 16673, 41151, 18016, 16400, 16604, 16391, 16442, 16415, 16417, 16408, 16403, 16444, 16410, 16604, 16442, 16415, 16417, 16404, 16404, 16444, 16410, 16604, 16442, 16415, 16417, 16401, 16401, 16444, 16392, 16397, 17664, 16769, 17028, 27228, 34524, 51935, 16672, 41151, 18016, 16400, 54255, 25878, 16395, 16850, 19028, 22737, 27560, 16873, 17299, 16667, 17223, 41293, 16674, 44050, 16722, 17225, 49494, 16604, 16391, 16442, 16415, 16417, 16408, 16403, 16444, 16410, 16604, 16442, 16415, 16417, 16401, 16407, 16444, 16392, 16397, 22680, 20976, 56293, 34292, 19415, 16672, 19402, 50895, 16769, 18655, 17415, 20909, 16396, 18926, 16604, 16391, 46138, 16392, 16674, 41151, 18016, 16400, 54255, 25878, 16604, 16391, 16442, 16415, 16417, 16404, 16404, 16444, 16410, 16604, 16442, 16415, 16417, 16401, 16401, 16444, 16410, 16604, 16442, 16415, 16417, 16403, 16407, 16444, 16410, 16604, 16442, 16415, 16417, 16405, 16407, 16444, 16392, 16397, 18523, 16395, 57111, 17129, 35280, 25717, 16807, 19628, 16721, 58442, 35627, 16672, 16965, 22238, 16674, 17451, 60514, 35627, 16672, 56240, 16666, 17218, 31804, 44714, 16604, 16391, 24087, 16429, 16392, 16815, 41151, 18016, 16400, 54255, 25878, 20064, 19800, 32080, 20627, 19739, 16734, 44758, 25878, 16604, 16391, 16442, 16415, 16417, 16404, 16404, 16444, 16410, 16604, 16442, 16415, 16417, 16400, 16399, 16444, 16410, 16604, 16442, 16415, 16417, 16405, 16401, 16444, 16392, 16397, 16772, 58029, 41151, 16395, 29652, 19448, 16856, 16395, 22365, 27364, 16647, 40213, 23790, 16673, 16965, 22238, 35627, 16672, 44758, 16850, 16804, 16672, 41151, 18016, 16400, 54255, 25878, 16604, 16391, 16442, 16415, 16417, 16404, 16404, 16444, 16392, 16397, 16582, 16582, 38936, 17045, 16856, 16396, 41792, 32174, 16604, 16400, 54255, 25878, 16807, 28938, 16992, 19628, 16671, 20064, 19800, 29214, 16671, 42113, 21728, 16707, 17462, 16395, 23975, 16741, 16667, 28282, 19031, 16672, 47843, 61112, 19962, 16674, 28282, 19402, 22102, 19578, 16673, 34292, 19739, 16734, 44758, 21617, 16604, 16391, 16442, 16415, 16417, 16408, 16403, 16444, 16410, 16604, 16442, 16415, 16417, 16404, 16404, 16444, 16410, 16604, 16442, 16415, 16417, 16405, 16401, 16444, 16410, 16604, 16442, 16415, 16417, 16400, 16444, 16392, 16397, 40156, 16395, 41151, 18016, 16400, 16704, 17796, 16671, 17114, 16672, 16647, 25240, 17139, 16800, 34789, 20912, 16675, 17434, 16671, 35735, 40635, 16396, 61477, 20937, 16604, 16391, 16442, 16415, 16417, 16404, 16406, 16444, 16392, 16397, 17119, 16807, 17027, 17494, 16667, 19800, 34524, 18684, 19283, 20815, 16604, 16442, 16427, 16444, 16474, 16397, 29702, 53657, 16476, 16396, 16451, 20708, 21105, 16471, 17757, 38134, 34233, 16856, 16604, 16391, 16442, 16427, 16444, 16474, 16397, 29702, 53657, 16476, 16396, 16419, 19989, 16416, 16392, 16672, 41151, 18016, 16400, 54255, 25878, 35106, 16819, 16724, 17105, 16834, 58442, 18214, 17041, 16895, 16809, 16604, 16405, 16396, 35521, 16471, 18802, 16754, 27957, 50346, 16672, 16647, 30548, 18173, 40524, 35484, 16604, 16391, 16442, 16415, 16417, 16401, 16444, 16392, 16397, 53572, 18226, 16395, 19831, 16672, 41151, 18016, 16400, 54255, 21617, 17564, 16647, 18814, 16673, 41151, 18016, 16400, 16741, 16641, 41736, 16673, 29432, 16707, 21722, 28333, 24438, 21527, 19693, 16395, 17131, 39211, 16647, 18814, 16673, 41151, 18016, 16400, 16741, 16641, 19056, 20318, 18821, 16715, 16647, 19165, 16673, 24438, 41482, 27107, 27821, 16397, 16582, 16582, 21055, 16742, 23447, 16647, 19831, 16673, 16700, 17894, 16395, 30121, 17751, 16707, 17462, 16674, 41151, 18016, 16400, 16709, 58442, 24438, 21527, 19693, 16672, 16647, 56240, 16666, 19402, 50895, 16397, 22995, 28138, 16763, 17646, 16709, 16700, 16477, 16400, 16477, 18759, 16395, 16944, 21998, 16647, 16641, 16881, 24648, 27957, 47840 ]
[ 0, 46690, 30590, 16409, 20253, 18918, 31609, 16397, 28249, 16936, 30590, 16409, 16604, 16396, 16418, 18072, 16785, 53203, 16409, 16719, 18072, 30590, 16397, 16604, 16475, 16475, 32547, 30590, 16397, 38858, 16409, 16604, 16396, 16999, 16858, 19361, 17014, 17049, 16763, 37144, 17202, 17719, 16397, 16908, 22961, 16763, 17686, 44303, 16734, 19000, 16395, 16674, 23976, 17120, 16703, 18215, 16672, 16968, 29428, 19034, 16734, 30774, 20049, 16674, 28931, 17007, 17065, 21275, 20614, 17016, 16397, 19912, 27401, 20988, 16671, 19001, 18592, 16715, 24932, 16395, 18531, 17049, 16961, 17190, 16961, 16703, 17210, 20747, 16673, 17073, 17005, 16397, 19079, 19082, 16955, 17028, 18479, 17187, 17049, 25830, 16811, 23550, 16815, 16395, 16728, 16763, 18661, 23585, 18352, 37433, 16395, 17608, 16908, 22961, 16763, 17686, 16641, 17238, 20967, 18697, 16397, 16702, 60805, 16661, 16734, 20471, 16604, 16400, 16399, 16399, 16466, 16672, 17613, 16395, 17686, 21317, 16903, 16671, 20276, 16709, 17005, 16395, 17255, 17914, 16671, 25050, 16674, 16985, 16709, 41533, 19918, 16676, 16396, 17049, 20816, 18531, 21408, 19988, 16395, 18546, 17441, 19988, 16397, 19079, 20967, 16466, 20749, 16671, 16985, 16945, 16641, 34025, 16395, 16674, 16734, 16721, 16395, 17049, 19361, 16671, 16829, 16922, 17177, 16994, 17190, 30795, 23060, 16396, 17049, 19361, 16671, 23765, 16672, 17142, 18655, 18352, 17476, 56025, 16410, 44540, 16395, 16674, 31971, 16397, 17614, 18143, 17120, 16703, 18215, 28606, 17270, 17473, 19001, 21924, 16395, 36215, 16815, 17785, 23382, 16674, 44540, 19406, 39732, 16780, 16837, 16466, 16397, 18523, 16395, 16741, 17049, 22517, 16741, 16641, 17418, 16395, 17049, 17027, 22517, 16672, 17213, 24358, 16395, 16674, 17049, 19361, 16671, 18212, 17072, 16671, 31529, 16672, 17417, 16397, 20528, 16958, 20283, 47870, 16395, 16674, 16968, 20043, 16672, 44540, 22517, 16671, 16703, 17914, 16671, 31303, 18734, 23043, 16395, 21924, 16395, 25342, 16397, 16999, 16763, 16945, 16641, 19406, 29644, 16395, 16741, 16968, 57174, 16961, 17579, 18168, 44356, 16767, 16647, 17796, 16673, 17213, 21330, 16397, 16582, 16582, 19231, 44671, 17202, 16673, 18702, 16395, 17049, 21927, 16604, 16385, 16418, 20941, 16722, 16676, 16774, 26523, 17495, 16668, 16395, 16385, 16641, 17585, 16673, 20470, 16734, 18655, 22251, 16671, 39247, 16397, 16999, 16763, 16667, 25095, 22045, 26769, 21825, 16673, 49641, 16395, 16674, 16968, 17255, 16647, 34788, 16673, 18319, 18143, 16763, 16641, 27422, 16709, 16968, 30595, 16397, 32594, 16968, 16395, 16873, 16958, 16858, 16669, 17553, 16395, 16674, 17049, 16763, 16994, 16641, 57313, 16734, 17028, 24159, 16850, 16647, 18238, 16673, 19000, 16767, 16968, 18194, 16397, 18916, 16641, 16987, 16673, 19006, 18493, 17007, 16395, 17049, 19987, 40404, 16674, 21781, 17560, 16647, 18097, 16815, 16968, 17616, 16671, 24496, 27238, 16397, 17614, 63471, 17181, 16647, 18908, 21978, 16395, 16674, 21420, 18112, 18325, 16641, 19099, 16944, 19513, 16671, 16703, 16721, 16673, 16641, 31880, 16397, 16772, 19099, 22929, 16721, 16908, 22961, 18939, 17259, 22656, 23477, 16709, 16968, 18194, 16395, 16674, 63471, 17285, 17065, 16641, 20691, 31450, 29859, 18392, 16734, 16968, 16397, 17664, 16395, 17049, 16763, 18201, 16641, 30791, 22904, 16395, 16944, 19296, 16968, 16647, 24297, 16721, 25298, 18118, 16709, 21827, 17373, 16961, 18021, 16703, 17914, 16671, 18019, 16397, 17614, 16763, 25388, 16734, 16647, 39751, 19918, 16448, 16396, 24555, 19302, 16395, 16674, 16968, 18734, 27371, 17434, 16674, 45681, 16958, 17178, 16691, 64212, 16734, 19000, 16397, 17614, 16763, 35537, 16395, 16674, 17178, 16955, 16647, 30791, 24297, 16673, 44540, 16709, 16968, 18194, 16397, 17614, 16763, 17178, 17914, 16671, 31303, 23308, 16395, 16674, 17132, 16804, 16807, 16671, 17231, 21194, 16396, 16647, 17097, 21194, 17049, 16961, 16807, 16671, 17231, 16961, 16703, 16968, 30099, 16674, 19531, 16395, 16944, 33688, 16968, 26222, 16397, 18916, 16647, 22904, 16395, 17049, 21506, 16671, 18627, 27529, 16676, 16774, 26523, 17495, 16668, 16674, 20332, 17007, 17016, 17049, 16763, 23557, 16673, 16396, 16944, 18977, 54364, 16968, 16647, 33390, 16673, 16721, 26242, 16397, 17614, 16763, 17178, 16641, 21461, 47945, 16674, 57313, 16395, 16674, 17120, 17231, 16968, 24159, 16672, 16858, 16673, 16968, 19851, 19223, 16397, 16582, 16582, 17071, 17655, 16811, 24159, 16395, 17049, 16843, 16703, 18215, 18045, 20113, 18248, 16721, 17049, 16961, 20048, 16671, 16829, 16397, 19912, 21076, 57701, 16891, 16673, 16968, 18282, 16671, 21076, 16740, 18719, 16671, 21116, 17047, 16734, 16395, 16728, 16704, 20057, 41364, 16397, 17614, 25607, 16647, 30791, 18712, 17181, 21928, 16395, 17049, 16704, 16968, 17304, 30791, 22767, 16396, 20821, 16986, 16704, 17028, 17210, 16671, 18168, 16968, 16397, 17614, 20760, 16811, 24159, 16671, 16969, 16671, 16968, 19708, 16395, 18515, 16811, 17123, 16703, 31111, 30881, 16715, 16968, 43831, 16395, 36215, 19001, 17362, 16396, 19826, 21024, 16672, 16733, 17523, 16395, 16785, 44540, 27085, 16715, 16968, 30771, 16395, 17049, 20760, 16728, 16715, 16968, 17304, 17203, 18184, 16734, 16647, 17203, 16673, 16968, 17045, 64585, 16397, 17614, 16843, 16703, 18215, 23308, 16767, 18266, 16395, 17049, 16872, 18711, 16968, 44540, 17065, 16968, 17304, 19531, 16674, 16872, 21996, 16728, 16891, 16672, 16968, 17417, 16397, 17614, 16704, 25753, 31560, 18352, 26419, 16395, 16674, 20614, 17014, 16728, 16704, 21286, 16671, 17231, 17492, 28263, 16397, 16999, 17208, 16703, 18365, 16721, 16917, 17208, 16804, 17760, 16672, 16647, 19007, 16673, 16908, 22961, 16395, 16785, 18118, 17049, 16868, 22083, 16396, 17028, 18798, 17016, 16647, 18787, 16868, 16703, 16397, 16582, 16582, 17287, 19674, 34793, 16409, 16396, 19079, 24159, 16704, 17238, 45627, 16671, 16721, 16673, 31878, 16674, 28450, 16395, 20821, 16908, 22961, 16843, 16703, 18215, 20113, 24943, 16672, 16647, 45624, 16767, 18266, 16397, 17673, 16704, 16395, 16980, 16732, 16843, 17134, 16968, 16767, 16858, 16397, 16397, 16396, 21123, 20253, 18918, 31609, 57025, 17473, 19000, 16674, 17073, 41111, 16395, 16968, 38125, 18143, 17510, 17578, 16891, 16673, 24737, 18398, 16674, 18530, 17552, 16397, 18483, 22245, 16986, 17120, 16703, 18530, 17718, 16671, 16732, 16395, 16674, 16647, 17718, 16986, 16843, 16703, 16641, 24661, 19855, 47433, 16641, 22906, 33137, 22096, 16986, 16397, 19079, 24159, 16843, 16703, 30103, 16741, 16641, 28262, 16673, 16641, 16655, 18072, 16674, 32904, 24159, 16395, 19857, 16671, 16968, 16674, 16968, 17097, 16397, 16604, 16396, 26309, 18138, 17473, 19000, 16674, 16647, 39751, 19918, 16448, 16396, 24555, 16395, 16908, 22961, 16843, 17231, 16811, 24159, 16715, 16968, 18741, 20431, 16741, 17204, 16397, 17614, 16843, 17190, 18122, 28069, 16671, 17156, 18677, 18592, 16709, 16395, 18520, 22329, 16395, 16674, 19710, 26034, 16734, 16641, 19406, 20755, 16673, 16641, 23408, 16397, 18485, 17097, 17257, 16811, 20763, 21928, 16395, 16850, 16811, 16843, 20763, 16968, 30771, 16672, 16922, 19223, 17032, 16917, 16397, 17170, 24159, 16704, 21408, 41364, 16397, 16582, 16582, 17507, 16844, 17552, 16659, 16409, 16396, 17170, 24159, 16395, 20253, 18918, 31609, 16395, 16704, 16804, 31616, 16709, 16998, 20688, 16672, 16647, 46243, 16397, 17170, 18238, 16721, 17028, 18798, 17016, 16395, 16968, 22625, 16829, 16804, 16829, 19544, 20474, 18443, 16671, 55711, 43735, 16674, 21098, 18213, 16397, 17614, 31645, 16734, 19000, 19302, 16395, 16804, 16998, 21025, 16397, 16604, 16396, 30470, 16671, 16647, 19927, 16673, 16811, 24159, 16674, 17073, 27592, 16395, 17492, 16917, 16704, 46757, 16734, 17769, 19000, 16674, 33610, 16397, 16711, 44443, 16671, 16811, 16843, 16703, 16721, 17492, 19629, 18043, 18455, 16641, 20104, 33137, 16395, 16944, 16843, 19225, 16968, 22625, 16671, 16703, 20283, 60757, 16809, 16647, 24028, 16980, 17049, 16763, 18387, 16671, 16703, 63099, 16397, 16396, 20253, 18918, 31609, 20057, 18526, 16734, 17073, 21391, 16674, 17148, 17014, 16728, 18526, 16671, 16811, 16395, 16944, 16704, 16647, 20583, 16721, 16647, 24159, 16704, 17769, 16673, 28450, 38125, 16397, 16711, 16752, 16673, 16811, 16843, 16703, 16721, 17049, 37613, 16647, 19732, 18636, 16673, 16977, 20286, 16673, 38125, 16721, 16641, 23850, 59217, 16872, 16395, 16944, 16769, 24301, 16734, 28450, 16397, 16604, 16396, 16700, 19441, 17065, 16647, 17367, 28560, 16395, 16728, 16843, 16703, 18215, 16721, 16647, 38125, 16721, 16769, 16804, 28450, 16769, 22484, 32007, 16674, 26738, 16397, 17614, 17097, 22952, 16641, 17589, 27257, 38125, 16395, 16741, 16647, 17745, 16769, 17310, 22039, 21216, 16397, 16582, 16582, 25277, 16898, 16409, 16582, 16582, 61837, 16665, 16809, 16647, 36407, 22891, 16409, 16582, 16582, 61837, 16665, 16809, 16647, 36407, 22891, 29172, 16409, 16772, 53491, 16672, 17348, 17120, 16807, 19678, 17065, 16641, 21275, 16395, 16850, 17028, 29960, 16395, 16733, 16955, 16671, 30245, 16647, 25845, 16673, 20835, 16785, 17536, 16397, 17544, 16811, 50694, 16395, 16811, 53491, 16395, 18365, 16741, 16647, 18483, 21401, 28102, 36648, 16395, 16704, 16647, 17097, 16917, 16671, 16807, 17494, 16647, 36407, 22891, 16673, 16647, 17394, 16395, 19813, 19204, 16647, 19489, 16671, 18717, 16728, 16674, 60932, 16671, 16647, 41199, 16721, 16769, 24472, 16395, 22247, 16395, 16907, 16397, 18523, 16395, 17014, 18151, 16809, 16647, 19819, 16721, 24820, 16728, 16961, 29851, 18594, 18118, 16672, 16647, 17394, 16395, 16647, 34140, 17203, 16472, 16396, 27897, 16396, 17258, 22422, 24494, 16671, 18168, 19204, 19095, 16674, 16741, 16641, 17539, 16395, 16733, 16763, 31592, 16809, 16647, 36407, 22891, 16397, 17170, 34556, 16961, 16854, 17285, 16671, 16888, 19546, 17583, 16674, 17178, 16732, 16395, 25209, 24532, 19475, 16395, 16769, 16917, 16673, 16888, 25295, 16397, 64337, 16409, 16772, 36407, 22891, 39930, 16647, 19397, 16390, 16466, 19546, 17583, 16674, 16872, 18201, 17310, 16673, 16728, 16647, 16796, 19308, 16463, 16710, 16395, 16647, 19629, 16671, 17134, 17016, 16647, 19397, 17208, 16804, 16703, 17914, 16671, 17134, 16397, 19525, 18067, 16395, 16671, 18577, 16647, 20380, 16673, 16647, 36407, 22891, 16395, 16647, 19397, 16843, 17097, 17134, 16917, 16604, 16385, 17278, 16661, 16385, 16767, 16641, 17005, 16397, 24423, 16741, 16641, 61007, 16815, 16641, 24159, 16785, 18446, 16984, 16604, 16391, 23531, 16604, 16401, 33387, 16785, 16604, 16401, 39791, 16395, 17134, 16604, 16401, 24250, 16785, 16604, 16401, 48911, 22637, 16395, 16674, 16859, 16709, 16397, 16392, 16395, 16785, 16815, 17653, 17498, 16671, 17039, 18148, 16704, 16715, 18185, 32492, 17007, 16785, 16721, 18148, 16704, 17395, 16671, 17190, 16641, 18244, 18736, 16709, 17007, 17989, 16647, 17788, 17498, 16397, 20748, 16898, 16409, 16604, 16404, 17498, 17055, 17082, 17056, 17415, 20760, 16397, 16582, 16582, 16396, 16759, 16604, 16396, 31547, 17873, 16409, 16908, 22961, 16390, 16466, 24159, 16763, 20087, 16671, 17261, 23295, 17356, 21924, 16396, 16728, 16763, 17366, 16671, 19529, 17310, 16672, 16647, 18843, 18797, 16395, 16785, 16767, 17965, 16715, 16647, 19397, 16390, 16466, 17304, 20431, 16395, 16674, 16763, 16671, 16703, 17914, 16671, 41937, 17476, 20286, 16673, 35801, 16715, 16968, 21747, 16674, 29151, 16397, 23466, 16395, 16908, 22961, 27853, 16641, 16604, 16400, 16399, 16388, 20474, 19031, 17437, 22428, 16672, 20916, 21924, 16397, 16582, 16582, 16396, 16759, 16604, 16396, 38160, 16646, 16390, 16466, 19002, 17130, 16409, 26309, 17914, 16671, 31303, 17362, 19415, 16673, 19000, 16395, 16908, 22961, 16872, 20816, 17072, 16671, 23441, 16671, 18244, 20286, 16673, 26981, 16672, 16641, 17210, 16721, 16704, 22129, 17827, 33038, 17014, 18625, 20474, 16815, 17007, 16397, 39751, 19918, 16676, 16395, 17255, 16917, 16673, 16647, 17154, 21197, 16673, 16647, 30795, 20696, 16672, 21827, 17373, 16395, 16807, 18222, 16647, 38934, 16673, 16811, 19629, 16397, 16908, 22961, 19198, 16604, 16400, 16399, 16388, 17827, 20474, 16815, 22625, 18767, 16815, 39751, 19918, 16448, 16396, 19338, 27592, 16397, 16582, 16582, 16396, 16759, 16604, 16396, 27566, 30600, 16409, 19814, 17255, 25388, 16734, 16968, 24159, 40175, 16395, 17049, 16763, 25388, 16734, 16647, 39751, 19918, 16448, 16396, 24555, 19302, 16397, 19079, 18370, 22072, 16741, 16641, 19006, 17226, 16427, 16861, 28958, 16673, 28678, 16395, 20781, 22764, 18224, 16671, 16858, 30771, 16672, 16641, 16604, 16403, 16404, 33691, 34064, 16673, 16968, 18370, 16397, 17170, 18786, 23308, 16395, 17789, 16783, 44072, 19147, 16721, 16769, 17963, 17915, 16815, 36205, 16397, 18485, 17097, 16721, 16850, 17049, 16843, 20705, 17226, 16427, 46042, 16980, 16873, 16769, 18229, 16709, 24220, 16767, 16641, 18730, 18960, 16395, 22764, 16922, 18291, 16671, 20695, 22625, 16674, 18291, 16671, 16647, 39751, 19918, 16448, 16396, 24555, 16397, 16999, 16704, 16741, 16980, 17049, 16704, 16641, 17362, 16396, 35903, 17226, 16427, 16861, 16395, 16741, 17049, 16704, 17914, 16671, 21182, 28069, 16672, 16396, 24449, 16673, 16968, 16715, 18741, 17231, 16674, 27129, 16715, 22625, 16397, 16908, 22961, 16843, 23976, 16703, 18215, 25007, 16709, 17213, 28069, 16715, 20695, 16734, 16968, 41202, 16395, 16741, 17204, 16741, 19034, 18677, 18592, 16674, 18267, 16715, 18741, 17231, 16397, 18485, 17097, 16721, 16395, 16850, 17049, 16843, 19702, 16703, 18215, 44540, 16734, 17213, 28069, 16741, 17204, 16395, 32059, 17310, 16721, 17049, 16704, 18387, 16671, 30778, 16815, 16734, 61187, 16397, 16582, 16582, 16396, 16719, 16604, 16396, 63570, 19690, 16702, 18653, 16409, 16875, 16647, 23914, 16671, 20864, 16968, 19461, 16674, 17743, 16673, 20116, 31541, 16734, 16647, 39751, 19918, 16448, 16396, 24555, 16395, 16647, 17009, 24296, 16396, 16470, 19953, 25167, 17366, 16728, 16671, 16968, 19464, 16397, 16908, 22961, 16704, 17914, 16671, 17134, 17047, 17181, 24231, 16980, 16986, 16704, 16641, 17918, 16673, 19000, 16709, 16647, 16977, 18194, 16397, 17170, 16843, 17410, 16741, 17226, 16427, 46042, 16395, 39732, 16780, 16837, 16466, 16395, 16674, 17240, 16922, 16397, 18196, 17049, 24711, 17213, 17047, 16395, 16873, 18560, 16741, 16667, 35951, 16673, 16914, 17418, 16395, 16674, 16672, 33610, 16673, 33137, 16397, 17170, 17097, 18786, 16709, 28591, 21895, 16785, 19251, 16671, 16908, 22961, 16390, 16466, 21410, 16397, 16582, 16582, 21629, 24815, 16409, 16582, 16582, 55929, 19432, 24815, 16409, 16582, 16582, 33347, 28705, 16466, 16604, 16391, 16419, 16392, 16409, 16582, 16582, 18679, 16409, 27027, 28705, 16466 ]
[ 0, 18987, 16433, 16396, 16401, 16403, 16405, 16604, 16391, 30086, 18047, 22063, 19806, 16416, 16396, 16400, 16445, 59296, 16445, 16392, 16704, 16647, 17092, 28758, 16672, 21903, 18356, 16721, 23441, 16821, 17099, 39940, 16664, 16404, 16402, 16672, 20053, 19487, 16809, 27497, 17073, 19889, 20909, 16396, 18926, 16604, 16391, 42629, 16392, 47524, 16395, 20781, 50903, 43459, 16397, 16445, 16442, 16415, 54690, 16400, 16444, 16395, 16443, 16604, 16442, 16415, 54690, 16401, 16444, 16445, 16772, 17474, 28758, 16673, 55084, 16396, 16401, 16403, 16405, 16395, 22063, 19806, 16416, 16396, 16400, 16395, 16763, 23644, 22603, 16809, 19139, 30417, 16604, 16393, 16688, 16813, 16397, 16393, 16445, 16442, 16415, 54690, 16402, 16444, 16445, 55084, 16396, 16401, 16403, 16405, 20332, 16641, 17203, 20215, 23487, 16672, 16641, 34153, 16687, 16398, 19311, 21903, 26043, 16396, 63688, 18077, 16709, 49531, 18918, 55861, 32705, 16674, 38398, 20053, 16674, 17490, 21903, 16674, 16664, 16404, 16402, 16396, 32435, 26987, 24739, 16958, 21852, 16397, 16445, 16442, 16415, 54690, 16403, 16444, 16445, 16711, 34153, 52275, 16398, 19311, 49496, 16673, 40015, 18077, 16734, 55084, 16396, 16401, 16403, 16405, 16672, 22332, 16734, 47196, 16396, 19338, 22595, 16395, 16672, 18873, 16734, 51404, 16664, 16404, 16402, 16396, 31603, 16795, 17362, 16396, 27480, 17451, 16906, 16604, 16391, 16423, 29182, 16392, 47991, 20053, 16395, 16704, 24036, 16397, 19253, 17032, 16604, 16408, 16405, 16388, 16673, 18873, 16734, 16751, 29182, 47991, 46346, 20251, 46726, 16404, 16402, 35857, 16397, 16445, 16442, 16415, 54690, 16404, 16444, 16445, 16582, 16582, 19733, 35573, 16396, 19338, 22163, 16807, 16667, 17889, 18814, 16672, 16647, 19165, 16673, 17259, 21173, 35442, 17789, 47991, 20053, 16397, 16719, 16656, 16938, 21990, 16395, 16647, 17092, 20632, 16673, 16811, 17568, 16395, 16872, 16955, 16641, 18166, 19032, 16672, 19165, 16673, 20053, 16850, 16704, 17027, 19970, 16734, 22660, 29175, 19938, 16945, 16864, 17057, 16689, 54701, 16798, 16397, 17170, 35164, 16647, 18356, 16673, 16647, 17827, 26227, 31327, 42106, 34277, 21990, 16397, 16445, 16442, 16415, 54690, 16405, 16444, 16445, 16772, 20618, 25013, 16673, 18865, 16673, 47196, 28937, 16704, 16911, 18257, 24261, 16734, 21142, 46883, 16675, 19318, 16672, 27242, 18155, 23642, 16397, 17170, 40856, 16647, 23642, 20474, 19208, 31133, 16395, 16672, 16944, 16664, 16404, 16402, 16872, 16641, 18474, 18814, 16395, 19868, 16671, 18155, 16396, 27758, 21167, 16395, 20060, 26397, 16983, 16674, 16398, 16658, 43459, 16397, 16445, 16442, 16415, 54690, 16406, 16444, 16445, 16582, 16582, 56666, 16734, 47991, 20053, 18143, 20023, 17204, 16671, 16647, 17092, 16396, 17583, 47196, 16396, 19338, 39031, 16395, 16850, 16647, 20987, 16673, 16647, 18873, 16734, 22656, 20041, 35442, 57995, 16674, 21420, 17849, 16673, 39031, 16396, 18452, 17297, 17029, 20062, 16397, 52712, 23759, 16704, 17154, 18143, 19970, 16734, 27364, 47196, 19415, 16767, 16647, 18758, 16673, 18865, 16604, 16391, 16456, 16397, 16452, 16397, 16395, 23642, 16392, 16674, 16398, 16658, 22155, 16671, 26421, 16647, 23642, 20474, 19208, 17135, 16911, 18257, 24261, 16397, 16445, 16442, 16415, 54690, 16405, 16444, 16395, 16443, 16604, 16442, 16415, 54690, 16406, 16444, 16445, 16772, 26592, 27732, 27287, 16673, 23759, 16671, 47196, 28937, 16769, 46650, 16935, 21560, 16395, 24864, 20632, 16396, 31263, 19031, 16672, 31395, 44960, 17050, 22026, 16604, 16391, 16422, 25688, 16392, 19415, 19868, 16671, 28282, 17325, 39194, 16673, 47196, 28937, 16395, 21999, 20632, 43956, 16395, 19800, 20632, 16672, 53726, 16674, 23642, 16911, 18257, 25430, 16395, 16741, 17204, 16741, 16672, 53726, 16673, 16647, 27242, 38875, 16658, 22036, 16664, 16404, 16402, 16397, 16445, 16442, 16415, 54690, 16406, 16444, 16395, 16443, 16604, 16442, 16415, 54690, 16407, 16444, 16395, 16443, 16604, 16442, 16415, 54690, 16408, 16444, 16395, 16443, 16604, 16442, 16415, 54690, 16400, 16399, 16444, 16445, 16727, 24205, 16672, 16664, 16404, 16402, 16704, 16917, 16673, 16647, 17736, 27287, 16715, 64363, 47682, 16673, 16647, 23642, 20474, 21686, 16671, 16647, 39808, 22585, 37302, 16397, 22826, 16604, 16404, 16399, 16388, 16673, 16858, 35442, 20251, 39940, 16664, 16404, 16402, 16604, 16391, 19914, 16664, 16404, 16402, 16397, 22068, 16397, 20544, 16395, 16604, 16401, 16399, 16400, 16404, 16392, 16674, 20053, 19487, 16734, 36820, 16672, 16664, 16404, 16402, 16769, 16672, 18723, 16922, 37116, 16671, 26086, 39031, 16397, 16875, 17259, 35442, 16395, 17789, 47991, 20053, 16395, 16664, 16404, 16402, 35857, 16769, 37033, 16671, 55298, 17005, 16671, 31462, 16674, 27364, 20475, 25341, 17005, 16397, 16445, 16442, 16415, 54690, 16400, 16400, 16444, 16395, 16443, 16604, 16442, 16415, 54690, 16400, 16401, 16444, 16445, 23121, 16395, 33443, 16673, 54947, 17917, 16673, 16664, 16404, 16402, 16704, 16641, 29334, 21084, 16715, 20053, 22595, 16397, 16445, 16442, 16415, 54690, 16400, 16402, 16444, 16395, 16443, 16604, 16442, 16415, 54690, 16400, 16403, 16444, 16445, 16582, 16582, 21055, 16395, 16742, 23467, 16641, 17009, 20583, 16673, 31624, 19962, 16673, 55084, 16396, 16401, 16403, 16405, 16397, 55084, 16396, 16401, 16403, 16405, 16804, 17097, 23441, 16821, 17099, 16664, 16404, 16402, 16850, 17027, 36970, 51705, 44960, 17050, 22026, 19415, 16672, 16641, 26043, 16396, 32435, 22305, 16397, 26367, 16395, 55084, 16396, 16401, 16403, 16405, 19765, 32600, 47896, 16938, 21990, 16674, 16829, 16471, 16658, 60731, 16642, 29214, 16671, 39940, 16664, 16404, 16402, 16396, 22032, 35196, 37116, 47991, 20053, 19487, 16397, 19736, 18466, 17123, 17671, 29422, 16715, 26222, 22818, 19165, 16673, 16641, 19609, 18898, 16673, 47196, 16396, 44612, 35442, 16397, 16582, 16582, 32271, 16582, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16582, 16582, 18987, 16433, 16396, 16401, 16403, 16405, 16941, 17000, 20107, 16659, 47896, 16938, 21990, 16396, 44612, 47991, 20053, 19487, 16671, 47896, 16938, 21990, 16582, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16582, 16582, 17507, 17092, 28020, 18515, 55084, 16396, 16401, 16403, 16405, 17120, 16941, 17000, 16654, 17356, 16647, 16664, 16404, 16402, 16396, 31603, 16795, 47896, 16938, 21990, 16396, 44612, 16711, 16401, 16406, 16407, 16399, 16396, 24940, 16401, 16399, 16674, 16830, 32151, 18016, 16396, 16402, 47991, 20053, 19487, 16671, 47896, 16938, 21990, 17655, 18155, 45394, 34803, 16397, 16772, 16711, 16401, 16406, 16407, 16399, 16396, 24940, 16401, 16399, 47991, 46264, 17139, 25113, 16642, 20740, 18155, 18089, 29770, 16641, 16965, 16400, 16406, 16401, 16421, 37394, 16674, 16763, 20140, 16809, 25917, 16604, 16393, 16642, 36523, 16393, 23659, 16673, 16647, 40067, 16711, 16401, 16406, 16407, 16399, 19487, 16671, 20209, 29879, 16673, 47896, 16938, 21990, 16397, 16445, 16442, 16415, 54690, 16400, 16404, 16444, 16445, 16772, 16830, 32151, 18016, 16396, 16402, 19487, 16734, 18940, 30814, 16664, 16404, 16402, 37394, 16604, 16391, 16433, 16401, 16403, 16407, 16432, 16392, 16958, 20916, 16815, 51868, 29154, 19127, 16673, 16641, 20475, 16734, 28803, 46264, 17139, 25113, 16642, 20740, 16673, 16647, 35820, 16936, 16397, 16445, 16442, 16415, 54690, 16400, 16405, 16444, 16445, 16772, 20475, 16955, 16992, 22140, 16734, 47896, 16938, 21990, 16395, 16829, 16471, 16658, 60731, 16642, 16674, 28519, 18737, 24594, 41968, 16674, 16763, 48317, 37116, 16671, 47896, 16938, 21990, 16674, 16829, 16471, 16658, 60731, 16642, 16397, 16445, 16442, 16415, 54690, 16400, 16405, 16444, 16445, 16759, 17040, 16396, 25957, 25717, 16734, 47896, 16938, 21990, 19958, 16674, 16672, 22332, 16734, 19001, 29879, 16673, 55084, 16396, 16401, 16403, 16405, 16958, 20888, 16397, 17376, 19628, 16672, 16604, 16442, 23236, 16604, 16400, 16448, 16444, 16391, 16386, 19327, 16400, 16392, 16474, 18452, 16396, 18926, 16412, 16385, 19327, 16385, 16476, 16395, 55084, 16396, 16401, 16403, 16405, 16941, 17000, 16654, 17521, 16711, 16401, 16406, 16407, 16399, 16396, 24940, 16401, 16399, 19487, 16671, 47896, 16938, 21990, 16672, 16641, 26043, 16396, 32435, 22305, 16397, 16772, 27934, 16477, 16404, 16399, 16477, 18020, 16673, 47896, 16938, 21990, 16604, 16391, 20110, 16647, 28121, 17717, 25346, 16815, 55084, 16396, 16401, 16403, 16405, 31820, 40387, 16392, 27364, 16604, 16400, 16407, 16396, 29036, 16815, 16604, 16404, 16401, 31334, 16400, 16400, 16671, 16604, 16402, 16397, 16401, 31334, 16399, 16397, 16407, 20464, 16393, 23944, 16393, 16428, 16604, 16391, 41094, 31334, 16434, 16397, 16420, 16397, 16428, 16397, 16410, 16604, 16393, 16431, 16393, 16443, 16411, 16399, 16397, 16399, 16404, 16410, 16604, 16393, 16467, 16393, 16396, 18922, 16392, 16395, 16944, 16704, 22129, 19251, 17032, 16647, 27934, 16477, 16404, 16399, 16477, 18020, 16673, 47896, 16938, 21990, 16672, 16711, 16401, 16406, 16407, 16399, 19487, 16604, 16391, 16402, 16397, 16406, 31334, 16399, 16397, 16405, 16406, 20464, 16393, 23944, 16393, 16428, 16392, 16397, 23121, 16395, 55084, 16396, 16401, 16403, 16405, 16395, 16767, 48317, 21646, 29879, 16395, 19765, 32600, 16647, 29214, 16673, 16647, 47991, 20053, 19487, 16671, 47896, 16938, 21990, 16397, 16582, 16582, 18987, 16433, 16396, 16401, 16403, 16405, 17027, 16941, 17000, 16654, 17521, 16830, 32151, 18016, 16396, 16402, 20053, 19487, 16671, 47896, 16938, 21990, 16604, 16391, 16442, 23236, 16604, 16400, 16449, 16444, 16391, 16386, 19327, 16400, 16392, 16474, 18452, 16396, 18926, 16412, 16385, 19327, 16385, 16476, 16392, 16397, 16772, 27934, 16477, 16404, 16399, 16477, 18020, 16673, 47896, 16938, 21990, 27364, 16604, 16402, 16397, 16401, 16396, 29036, 16395, 16815, 16604, 16407, 16397, 16402, 31334, 16399, 16397, 16401, 20464, 16393, 23944, 16393, 16428, 16671, 16604, 16401, 16397, 16405, 31334, 16399, 16397, 16408, 20464, 16393, 23944, 16393, 16428, 16604, 16391, 41094, 31334, 16434, 16397, 16420, 16397, 16428, 16397, 16410, 16604, 16393, 16461, 16393, 16412, 16401, 16392, 16672, 16647, 21057, 16673, 16604, 16401, 16399, 20464, 16393, 23944, 16393, 16428, 55084, 16396, 16401, 16403, 16405, 16397, 42566, 16395, 16672, 18150, 16671, 20209, 16647, 29214, 16673, 16647, 19487, 16671, 47896, 16938, 21990, 16604, 16391, 16456, 16397, 16452, 16397, 16395, 36709, 16647, 27934, 16477, 16404, 16399, 16477, 18020, 16392, 16395, 55084, 16396, 16401, 16403, 16405, 21737, 16671, 19031, 16647, 34792, 16673, 47896, 16938, 21990, 16809, 25428, 16647, 25341, 21304, 52853, 16767, 18846, 24734, 16815, 16604, 16402, 16399, 16671, 16604, 16404, 16388, 16397, 16582, 16582, 46627, 51672, 18815, 19938, 16673, 55084, 16396, 16401, 16403, 16405, 16674, 47196, 28937, 16672, 20632, 16396, 44612, 47991, 20053, 19487, 16582, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16582, 16582, 17507, 17177, 28020, 18515, 55084, 16396, 16401, 16403, 16405, 24046, 51672, 34220, 16734, 47896, 16938, 21990, 16785, 42106, 34277, 21990, 16672, 47896, 16938, 21990, 16396, 44612, 47991, 20053, 18155, 20329, 16397, 17119, 17494, 25514, 64327, 16604, 16391, 58756, 21304, 16604, 16391, 35433, 16392, 16443, 16411, 16399, 16397, 16402, 16392, 16734, 47896, 16938, 21990, 16604, 16391, 16442, 23236, 16604, 16401, 16448, 16444, 16391, 16386, 19327, 16401, 16392, 16474, 18452, 16396, 18926, 16412, 16385, 19327, 16385, 16476, 16392, 16785, 42106, 34277, 21990, 16604, 16391, 16442, 23236, 16604, 16401, 16449, 16444, 16391, 16386, 19327, 16401, 16392, 16474, 18452, 16396, 18926, 16412, 16385, 19327, 16385, 16476, 16392, 16672, 16711, 16401, 16406, 16407, 16399, 16396, 24940, 16401, 16399, 20053, 19487, 16397, 50080, 64327, 16763, 17027, 17494, 16672, 16647, 39940, 16664, 16404, 16402, 16396, 22032, 35196, 16604, 16391, 16440, 16400, 16401, 16405, 16418, 16674, 16778, 16402, 16402, 16406, 16418, 16392, 47896, 16938, 21990, 16396, 44612, 47991, 20053, 18155, 18089, 16687, 26517, 20551, 16396, 16400, 16398, 22942, 24841, 16604, 16391, 16442, 48753, 25173, 16702, 16400, 16448, 16674, 16660, 16444, 16391, 16386, 30384, 16400, 16392, 16474, 18452, 16396, 18926, 16412, 16385, 25567, 28783, 16396, 42287, 16385, 16476, 16392, 16395, 16944, 16872, 16992, 20916, 16809, 23659, 16673, 16647, 40067, 54947, 16664, 16404, 16402, 16396, 22032, 35196, 16687, 26517, 20551, 16396, 16400, 19487, 16671, 47896, 16938, 21990, 16397, 16445, 16442, 16415, 54690, 16400, 16406, 16444, 16445, 16772, 16687, 26517, 20551, 16396, 16400, 18155, 18089, 16763, 20916, 16815, 16667, 51406, 47991, 20053, 20475, 16397, 16445, 16442, 16415, 54690, 16400, 16407, 16444, 16445, 26367, 16395, 16742, 21852, 18354, 51672, 18815, 19938, 16734, 55084, 16396, 16401, 16403, 16405, 16674, 47896, 16938, 21990, 16672, 16830, 32151, 18016, 16396, 16402, 19487, 16604, 16391, 16442, 23236, 16604, 16401, 16450, 16444, 16391, 16386, 19327, 16401, 16392, 16474, 18452, 16396, 18926, 16412, 16385, 19327, 16385, 16476, 16392, 16397, 26713, 16395, 18354, 64327, 16604, 16391, 35433, 16443, 16411, 16399, 16397, 16404, 16392, 16763, 17494, 16672, 16647, 54947, 16664, 16404, 16402, 16396, 22032, 35196, 40067, 16711, 16401, 16406, 16407, 16399, 18155, 18089, 16395, 16944, 16763, 20916, 16815, 16667, 51406, 20053, 20475, 16445, 16442, 16415, 54690, 16400, 16408, 16444, 16445, 16674, 25514, 64327, 16672, 16647, 47896, 16938, 21990, 16396, 44612, 16711, 16401, 16406, 16407 ]
[ 0, 38194, 16582, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16582, 16582, 27127, 16433, 34141, 18331, 16416, 16400, 16704, 16667, 31364, 16396, 36209, 22036, 16721, 21998, 17142, 31364, 16396, 36209, 35057, 16604, 16391, 16433, 28304, 16466, 16392, 16674, 16641, 29921, 61087, 16396, 22837, 24020, 21022, 16715, 22036, 16396, 16396, 57256, 24375, 16397, 16999, 16704, 19423, 16672, 17036, 16396, 16460, 27796, 21090, 22578, 16674, 20734, 16673, 31395, 40227, 17894, 16604, 16391, 53421, 16809, 16604, 16442, 16415, 16450, 18562, 16403, 16405, 16401, 16450, 16408, 16444, 16392, 16397, 16999, 16704, 40286, 20186, 16672, 16647, 44714, 16395, 16850, 17027, 21756, 16467, 17189, 17415, 16647, 44714, 16674, 16647, 57331, 16460, 16604, 16391, 16442, 16415, 16450, 18562, 16403, 16405, 16401, 16450, 16402, 16404, 16444, 16392, 16397, 16772, 21686, 16721, 35853, 17099, 21756, 16467, 17805, 16872, 16992, 21766, 16741, 16641, 16604, 16402, 16407, 34226, 22363, 23286, 16395, 46531, 16727, 16408, 16395, 20186, 18046, 16647, 16719, 16396, 16737, 39474, 16673, 16678, 16461, 16433, 34141, 18331, 16416, 16400, 17415, 34226, 32245, 16604, 16401, 16405, 16407, 16674, 16604, 16402, 16399, 16404, 16604, 16391, 16442, 16415, 16450, 18562, 16403, 16405, 16401, 16450, 16402, 16401, 16444, 16410, 16604, 16442, 16415, 16450, 18562, 16403, 16405, 16401, 16450, 16403, 16399, 16444, 16410, 16604, 16442, 16415, 16450, 18562, 16403, 16405, 16401, 16450, 16403, 16407, 16444, 16392, 16397, 35291, 16851, 17142, 16396, 22018, 25294, 27862, 16734, 16727, 16408, 16741, 41811, 25901, 16672, 16647, 26840, 16673, 16641, 20318, 20734, 16642, 16396, 42669, 31133, 16715, 22497, 17609, 16673, 16678, 16461, 16433, 34141, 18331, 16416, 16400, 16604, 16391, 16442, 16415, 16450, 18562, 16403, 16405, 16401, 16450, 16402, 16405, 16444, 16410, 16604, 16442, 16415, 16450, 18562, 16403, 16405, 16401, 16450, 16400, 16400, 16444, 16410, 16604, 16442, 16415, 16450, 18562, 16403, 16405, 16401, 16450, 16403, 16400, 16444, 16392, 16397, 16772, 17917, 16673, 16647, 57331, 25204, 16678, 16461, 16433, 34141, 18331, 16416, 16400, 16872, 16804, 16992, 17204, 21365, 16397, 24792, 16807, 19628, 16721, 57331, 25204, 16674, 22497, 16678, 16461, 16433, 34141, 18331, 16416, 16400, 28994, 17476, 31364, 16396, 36209, 31390, 16397, 23847, 49882, 25204, 16678, 16461, 16433, 34141, 18331, 16416, 16400, 16704, 23557, 16673, 17362, 16396, 18245, 23818, 26570, 16671, 47756, 16396, 22837, 21025, 16721, 17374, 21663, 39438, 39483, 16674, 27554, 16604, 16391, 16442, 16415, 16450, 18562, 16403, 16405, 16401, 16450, 16400, 16403, 16444, 16395, 16604, 16442, 16415, 16450, 18562, 16403, 16405, 16401, 16450, 16400, 16404, 16444, 16410, 16604, 16442, 16415, 16450, 18562, 16403, 16405, 16401, 16450, 16400, 16406, 16444, 16392, 16397, 16999, 16872, 17027, 16992, 19628, 16671, 23129, 28675, 52453, 26570, 16671, 16669, 42073, 16809, 16641, 17895, 16396, 42669, 25013, 16395, 16674, 19650, 17020, 35426, 44003, 16767, 56988, 16795, 27554, 17298, 21186, 16604, 16391, 16442, 16415, 16450, 18562, 16403, 16405, 16401, 16450, 16403, 16402, 16444, 16392, 16397, 16582, 16582, 16428, 49770, 31728, 16671, 16647, 42341, 64756, 30657, 17797, 16673, 19508, 16396, 61104, 16395, 18494, 16396, 18152, 30924, 31364, 38073, 16397, 16727, 49770, 44396, 16674, 37732, 19947, 29890, 16672, 16647, 57331, 16460, 16673, 30006, 19487, 19565, 16647, 31589, 31364, 16396, 32435, 31364, 64927, 16604, 16391, 16433, 16451, 16433, 16463, 16392, 16604, 16391, 53421, 16809, 16604, 16442, 16415, 16450, 18562, 16403, 16405, 16401, 16450, 16401, 16403, 16444, 16392, 16397, 50863, 16395, 16647, 16604, 16404, 29084, 16396, 18169, 23273, 18331, 16400, 16673, 16647, 31589, 35085, 16704, 31982, 17065, 16647, 31589, 36822, 16433, 16463, 16395, 16944, 17177, 18744, 36803, 16647, 31589, 47413, 40227, 17894, 17065, 20809, 16396, 18152, 16770, 40227, 17894, 16397, 58194, 16395, 16647, 20809, 16396, 18152, 16770, 40227, 17894, 16769, 17405, 16741, 45295, 16671, 17333, 21953, 16669, 42073, 16395, 16944, 18379, 16641, 47413, 16396, 27940, 31364, 16674, 16641, 50797, 17280, 16673, 17242, 18511, 24347, 39438, 46815, 16395, 16858, 16734, 16667, 29329, 16604, 16404, 29084, 17975, 16396, 21527, 34657, 20769, 23286, 16673, 16604, 16406, 16401, 16396, 16396, 16406, 16406, 18331, 61679, 61359, 16674, 16604, 16402, 29084, 17055, 16396, 48276, 20932, 28806, 18161, 16895, 22866, 16397, 16772, 17242, 18511, 24347, 39438, 37732, 16673, 16727, 49770, 50627, 16641, 19857, 39717, 21887, 25013, 16672, 16944, 16647, 20769, 23286, 16395, 18143, 26552, 16815, 16641, 17476, 38636, 16395, 16704, 61637, 16671, 40227, 17894, 16767, 16647, 17361, 50012, 16604, 16391, 19075, 16392, 21186, 16604, 16391, 16456, 16397, 16452, 16397, 37732, 44003, 18758, 16392, 16671, 24339, 17242, 18511, 24347, 16669, 42073, 16604, 16391, 16442, 16415, 16450, 18562, 16403, 16405, 16401, 16450, 16401, 16400, 16444, 16410, 16604, 16442, 16415, 16450, 18562, 16403, 16405, 16401, 16450, 16401, 16405, 16444, 16410, 16604, 16442, 16415, 16450, 18562, 16403, 16405, 16401, 16450, 16404, 16400, 16444, 16392, 16397, 16772, 19168, 25013, 16673, 17072, 17213, 16669, 42073, 16769, 17366, 16704, 17363, 29242, 16397, 18523, 16395, 16728, 16872, 16992, 19628, 16721, 16647, 17650, 16673, 39717, 21887, 31364, 37732, 16704, 33910, 16809, 18295, 31589, 31364, 21025, 16395, 17789, 16647, 16604, 16393, 64302, 16393, 16396, 16674, 16604, 16393, 21527, 16393, 16396, 47619, 20769, 31364, 16604, 16391, 16442, 16415, 16450, 18562, 16403, 16405, 16401, 16450, 16401, 16405, 16444, 16410, 16604, 16442, 16415, 16450, 18562, 16403, 16405, 16401, 16450, 16404, 16400, 16444, 16392, 16395, 45598, 23286, 16604, 16391, 16442, 16415, 16450, 18562, 16403, 16405, 16401, 16450, 16402, 16399, 16444, 16392, 16674, 16604, 16402, 29084, 16396, 16806, 16819, 21527, 34657, 23286, 16604, 16391, 16442, 16415, 16450, 18562, 16403, 16405, 16401, 16450, 16401, 16406, 16444, 16392, 16397, 17664, 16704, 28387, 55289, 19591, 27742, 18230, 17815, 16785, 31002, 26459, 17415, 16647, 19001, 31364, 26525, 21025, 16397, 16678, 16461, 16433, 34141, 18331, 16416, 16400, 52682, 16727, 49770, 20809, 16604, 16391, 16396, 16396, 16392, 16396, 18152, 16770, 20769, 16674, 45598, 29886, 16604, 16391, 16442, 16415, 16450, 18562, 16403, 16405, 16401, 16450, 16400, 16401, 16444, 16410, 16604, 16442, 16415, 16450, 18562, 16403, 16405, 16401, 16450, 16401, 16404, 16444, 16392, 16397, 30552, 16396, 49586, 21067, 23315, 26108, 16673, 16647, 45598, 29886, 25402, 16721, 16647, 23614, 16673, 26570, 16673, 16678, 16461, 16433, 34141, 18331, 16416, 16400, 16671, 16647, 45598, 29886, 37033, 16734, 16647, 24047, 16673, 37732, 16815, 16647, 45598, 18758, 16604, 16391, 16442, 16415, 16450, 18562, 16403, 16405, 16401, 16450, 16404, 16399, 16444, 16410, 16604, 16442, 16415, 16450, 18562, 16403, 16405, 16401, 16450, 16401, 16404, 16444, 16392, 16397, 38702, 16837, 19071, 16673, 16678, 16461, 16433, 34141, 18331, 16416, 16400, 20332, 16721, 16678, 16461, 16433, 34141, 18331, 16416, 16400, 51113, 16671, 16647, 57331, 16460, 16673, 16727, 49770, 16396, 54993, 19487, 16395, 17187, 31589, 31364, 33319, 25231, 16604, 16391, 16442, 16415, 16450, 18562, 16403, 16405, 16401, 16450, 16401, 16404, 16444, 16392, 16397, 16678, 16461, 16433, 34141, 18331, 16416, 16400, 17027, 35853, 17099, 16647, 24261, 16673, 16641, 28675, 57609, 16754, 50742, 19680, 23858, 16647, 16727, 49770, 16604, 16391, 16396, 16396, 16392, 16396, 18152, 16770, 20769, 16674, 45598, 29886, 16604, 16391, 16442, 16415, 16450, 18562, 16403, 16405, 16401, 16450, 16404, 16401, 16444, 16392, 16397, 18708, 18466, 18510, 16721, 16678, 16461, 16433, 34141, 18331, 16416, 16400, 17123, 21071, 16741, 16641, 22036, 61738, 16715, 31171, 31364, 23349, 16671, 25566, 16734, 17492, 16977, 16397, 16582, 16582, 23879, 31395, 26513, 16395, 17789, 18576, 18413, 16675, 28785, 16604, 16391, 16442, 16415, 16450, 18562, 16403, 16405, 16401, 16450, 16402, 16408, 16444, 16392, 16395, 20932, 21155, 19918, 41768, 34472, 16396, 36209, 22036, 16604, 16391, 27213, 16417, 16392, 16604, 16391, 16442, 16415, 16450, 18562, 16403, 16405, 16401, 16450, 16400, 16405, 16444, 16410, 16604, 16442, 16415, 16450, 18562, 16403, 16405, 16401, 16450, 16403, 16408, 16444, 16392, 16395, 19719, 22036, 16604, 16391, 16442, 16415, 16450, 18562, 16403, 16405, 16401, 16450, 16402, 16402, 16444, 16392, 16395, 20586, 16405, 16407, 16604, 16391, 16442, 16415, 16450, 18562, 16403, 16405, 16401, 16450, 16402, 16400, 16444, 16392, 16395, 20932, 16391, 16465, 16418, 16392, 16396, 36209, 22036, 16604, 16391, 16442, 16415, 16450, 18562, 16403, 16405, 16401, 16450, 16402, 16403, 16444, 16392, 16674, 21142, 39800, 16604, 16391, 16442, 16415, 16450, 18562, 16403, 16405, 16401, 16450, 16403, 16404, 16444, 16392, 16395, 16807, 16992, 52520, 16671, 16703, 19423, 16672, 31589, 31364, 37732, 16785, 44396, 16397, 16875, 18150, 16671, 16727, 49770, 16395, 16678, 16461, 16433, 34141, 18331, 16416, 16400, 16872, 17027, 16992, 19074, 16671, 25566, 16734, 18206, 40479, 16838, 23896, 61567, 24528, 16396, 30426, 23273, 18331, 16401, 22036, 16395, 16944, 18331, 51308, 16667, 17889, 18814, 16672, 16647, 26080, 16673, 23878, 44396, 16604, 16391, 16442, 16415, 16450, 18562, 16403, 16405, 16401, 16450, 16403, 16406, 16444, 16392, 16397, 26713, 16395, 16641, 40971, 22036, 19359, 16671, 18206, 21554, 31364, 21090, 22578, 20671, 16395, 16790, 20875, 16400, 16463, 16395, 16872, 16992, 19628, 16671, 16703, 19062, 16715, 16647, 22547, 44396, 16673, 16660, 22791, 63049, 23878, 31364, 16604, 16391, 16442, 16415, 16450, 18562, 16403, 16405, 16401, 16450, 16407, 16444, 16392, 16397, 37460, 16395, 16778, 37191, 16674, 26032, 25402, 16667, 38455, 16673, 26214, 44396, 16809, 29578, 16396, 40821, 49967, 16673, 20586, 16405, 16407, 16604, 16391, 16442, 16415, 16450, 18562, 16403, 16405, 16401, 16450, 16402, 16406, 16444, 16392, 16397, 18523, 16395, 22087, 16673, 17213, 31395, 26513, 16872, 16992, 19628, 59849, 16671, 23765, 20206, 16672, 31364, 16396, 32435, 31364, 33319, 16397, 16582, 16582, 17071, 17970, 16671, 26157, 16647, 27303, 16673, 16678, 16461, 16433, 34141, 18331, 16416, 16400, 16672, 16727, 49770, 31364, 44396, 16674, 37732, 16395, 16742, 20916, 18295, 16759, 29484, 18155, 20329, 16726, 17696, 34312, 18422, 16647, 20909, 16396, 18926, 16604, 16391, 42629, 16392, 16678, 16461, 16433, 34141, 18331, 16416, 16400, 16785, 16641, 16719, 16396, 16737, 39474, 16396, 18178, 22011, 16895, 39940, 32455, 16647, 16727, 16408, 23286, 16674, 17015, 16673, 16647, 29921, 61087, 16396, 22837, 24020, 16397, 17119, 20332, 16721, 16647, 39940, 16678, 16461, 16433, 34141, 18331, 16416, 16400, 16395, 16944, 16763, 44239, 40286, 16672, 16647, 57331, 16460, 16395, 35885, 29578, 16396, 40821, 19938, 16709, 31589, 47413, 31364, 44396, 16674, 17242, 18511, 24347, 39438, 37732, 16397, 16875, 23065, 16395, 56086, 18324, 16673, 16647, 54947, 16678, 16461, 16433, 34141, 18331, 16416, 16400, 41376, 16647, 33319, 16673, 16858, 31589, 40227, 17894, 16397, 19736, 18466, 18288, 18354, 19591, 16721, 16678, 16461, 16433, 34141, 18331, 16416, 16400, 16704, 20206, 16785, 41018, 19423, 16672, 16727, 49770, 31364, 33319, 16672, 16647, 57331, 16460, 16674, 16721, 16647, 16719, 16396, 48276, 17015, 16673, 16647, 22036, 16704, 17889, 16715, 17073, 17917, 16397, 17170, 21311, 20781, 27873, 16641, 20318, 17917, 16715, 16678, 16461, 16433, 34141, 18331, 16416, 16400, 16672, 16647, 57331, 16460, 16397, 16582, 16582, 32271, 16582, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16582, 16582, 42911, 17873, 16673, 24797, 18155, 20329, 34312, 16647, 54947, 16674, 16641, 16719, 16396, 16737, 39474, 16396, 18178, 22011, 16895, 16678, 16461, 16433, 34141, 18331, 16416, 16400, 16582, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16582, 16582, 18313, 22597, 16641, 19056, 18814, 16715, 16678, 16461, 16433, 34141, 18331, 16416, 16400, 16672, 16727, 49770, 31364, 33319, 16395, 16742, 20916, 20643, 16856, 16759, 29484, 18155, 20329, 16726, 17696, 34312, 16647, 38248, 16396, 16467, 21796, 54947, 16678, 16461, 16433, 34141, 18331, 16416, 16400, 16604, 16391, 27055, 16435, 16396, 16416, 16400, 16392, 16785, 16641, 39940, 16678, 16461, 16433, 34141, 18331, 16416, 16400, 16395, 16944, 16872, 16641, 16604, 16406, 16404, 34226, 22363, 51425, 16815, 16647, 16719, 16396, 16737, 39474, 16604, 16391, 27055, 16435, 16396, 16416, 16400, 47129, 16418, 16392, 16604, 16391, 23236, 18331, 16442, 16400, 16444, 16391, 16386, 16450, 18562, 16403, 16405, 16401, 16453, 16400, 16392, 16474, 18452, 16396, 18926, 16412, 16385, 19327, 16385, 16476, 16416, 16392, 16397, 17170, 39940, 37613, 17015, 16673, 16647, 29921, 61087, 16396, 22837, 24020, 16674, 16647, 16727, 16408, 23286, 21022, 16715, 21756, 16467, 17805, 16678, 16461, 16433, 34141, 18331, 16416, 16400, 17415, 16647, 44714, 16674, 16647, 57331, 16460, 16397, 38702, 17080, 24926, 16673, 16647, 18456, 16396, 18933, 46803, 17099, 16734, 16667, 20381, 16396, 41844, 34567, 27024, 16641, 16604, 16402, 16403, 18331, 16458, 27786, 22036, 16672, 16759, 29484, 16396, 16416, 16400, 19487, 16674, 16641, 16604, 16401, 16406, 18331, 16458, 27786, 22036, 16672, 17567, 21191, 53055, 16673, 16759, 29484, 16396, 16416, 16400, 47129, 16418, 19487, 16604, 16391, 23236, 18331, 16442, 16400, 16444, 16391, 16386, 16450, 18562, 16403, 16405, 16401, 16453, 16400, 16392, 16474, 18452, 16396, 18926, 16412, 16385, 19327, 16385, 16476, 16417, 16392, 16395, 25743, 17028, 22036, 16763, 19532, 16396, 16644, 21126, 16671, 16647, 20381, 16396, 41844, 34567, 16672, 16647, 18123, 18155, 18089, 16726, 17696, 17333, 39288, 16734, 16647, 36816, 36666, 16402, 16397, 16400, 27280, 16604, 16391, 27055, 16435, 16396 ]
[ 0, 38194, 16604, 16474, 16386, 16466, 16400, 16476, 16582, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16582, 16582, 25494, 18324, 16872, 18222, 16917, 16673, 16647, 19868, 22556, 16673, 28538, 24278, 16397, 16875, 16604, 16401, 16399, 16400, 16404, 16395, 16604, 16406, 16397, 16404, 16388, 16673, 24951, 18873, 21611, 16734, 28538, 16604, 16391, 16442, 16415, 16417, 16400, 16444, 16392, 16397, 18523, 16395, 17259, 17047, 19006, 16734, 16811, 20249, 16769, 16804, 21582, 16673, 16914, 24202, 16397, 16875, 16991, 28031, 16395, 16728, 16704, 17027, 19570, 61485, 16671, 37621, 16917, 16390, 16466, 21336, 17730, 19153, 16671, 17797, 18319, 16785, 17199, 24549, 16395, 29584, 18443, 16671, 16647, 23291, 16673, 31639, 16641, 19508, 18171, 16396, 24481, 16671, 18208, 16604, 16391, 16442, 16415, 16417, 16401, 16444, 16392, 16397, 28224, 16671, 17259, 16977, 19328, 16395, 19391, 16704, 23751, 16641, 22660, 35783, 16673, 21336, 17730, 23816, 16410, 19391, 16872, 16604, 16401, 16402, 16395, 16399, 16399, 16399, 39815, 60803, 16396, 16396, 16396, 27612, 16604, 16400, 16397, 16406, 16715, 17155, 16604, 16400, 16399, 16399, 16395, 16399, 16399, 16399, 22381, 16604, 16391, 16442, 16415, 16417, 16402, 16444, 16392, 16397, 16772, 18237, 46601, 19359, 16671, 22122, 16674, 24800, 26915, 17027, 17438, 16756, 17047, 16672, 19391, 16815, 22963, 19165, 16397, 23466, 16395, 16728, 16872, 18222, 22009, 16671, 17261, 20470, 16703, 21582, 16673, 16914, 22665, 16859, 16721, 16873, 16843, 22064, 17014, 16671, 22417, 17564, 16815, 23816, 16397, 16875, 16647, 17367, 23411, 16395, 23267, 16807, 28027, 16671, 22597, 16647, 23384, 16673, 17655, 20436, 37053, 16466, 16671, 21619, 18237, 18691, 20239, 16390, 24951, 22665, 17172, 18237, 18691, 17586, 16807, 19194, 16641, 18156, 16673, 20239, 16390, 23000, 16674, 34524, 24294, 16397, 16875, 16811, 16985, 16395, 16742, 26551, 16641, 17009, 19474, 16671, 30645, 16647, 19291, 24294, 30662, 16709, 18237, 18691, 22408, 16674, 22597, 17072, 16647, 18237, 18691, 19291, 16802, 19762, 16704, 19970, 16734, 24951, 22665, 16397, 16582, 16582, 17071, 31234, 16395, 19291, 27475, 16671, 17975, 49996, 16802, 23598, 19863, 46897, 16395, 16693, 16397, 16454, 16397, 16395, 16647, 23598, 16673, 26127, 16785, 29146, 16604, 16391, 16442, 16415, 16417, 16403, 16444, 16395, 16604, 16442, 16415, 16417, 16404, 16444, 16392, 16397, 19941, 59325, 19508, 19291, 16604, 16391, 21101, 16392, 16674, 19800, 20809, 19291, 16604, 16391, 19753, 16392, 16807, 16992, 17494, 16671, 16703, 23312, 34439, 16673, 18166, 58889, 26390, 16604, 16391, 25542, 16419, 16392, 16604, 16391, 16442, 16415, 16417, 16405, 16444, 16395, 16604, 16442, 16415, 16417, 16406, 16444, 16392, 16397, 57939, 31348, 25870, 20809, 27155, 28338, 16674, 20809, 43845, 19395, 16395, 16674, 27364, 25719, 26078, 16641, 23789, 16673, 17654, 16785, 26127, 16672, 19208, 16671, 46897, 16397, 16582, 16582, 18069, 27046, 38826, 19831, 18143, 27768, 17047, 16390, 16466, 19291, 17655, 27317, 33563, 16785, 20005, 26402, 16604, 16391, 16442, 16415, 16417, 16407, 16444, 16392, 16397, 16772, 40510, 16673, 33282, 19335, 19522, 16667, 21963, 17210, 16671, 18077, 19291, 16397, 33515, 18769, 19335, 16704, 16641, 17650, 16673, 60327, 19291, 16802, 18878, 16785, 38495, 16815, 19003, 16397, 16999, 16872, 16992, 17494, 16721, 19291, 16395, 18839, 31348, 23078, 16672, 18237, 18691, 19003, 16395, 29675, 18237, 18691, 20239, 16390, 28339, 24319, 16674, 21336, 17730, 20584, 16604, 16391, 16442, 16415, 16417, 16408, 16444, 16396, 16396, 16442, 16415, 16417, 16400, 16400, 16444, 16392, 16397, 31348, 16704, 16641, 25698, 16673, 16641, 20710, 16673, 20809, 26424, 16395, 17789, 27224, 16395, 39782, 16395, 20198, 16395, 19104, 16397, 25671, 17017, 16815, 17490, 38826, 19831, 16674, 18237, 18691, 17586, 16807, 19628, 16721, 20239, 16734, 17362, 24951, 22665, 20903, 16671, 17231, 16922, 18878, 16398, 17057, 16465, 17779, 23858, 31348, 16604, 16391, 16442, 16415, 16417, 16400, 16401, 16444, 16395, 16604, 16442, 16415, 16417, 16400, 16402, 16444, 16392, 16397, 16582, 16582, 21127, 17257, 16647, 17231, 16673, 31348, 18878, 28517, 16671, 24951, 22665, 16414, 17813, 16647, 16917, 17459, 16395, 35251, 20470, 20903, 16671, 16807, 29166, 51140, 16395, 16944, 16769, 29166, 22402, 52211, 16672, 19761, 16395, 20693, 16395, 27155, 16395, 16674, 43845, 20809, 21444, 16604, 16391, 16442, 16415, 16417, 16400, 16403, 16444, 16392, 16397, 17544, 18185, 16395, 16604, 16385, 19084, 16917, 31003, 16931, 16887, 18234, 16395, 16385, 16704, 16641, 20809, 29166, 28338, 16397, 17813, 16647, 16977, 17459, 16395, 27827, 60297, 16673, 31348, 21293, 60006, 20962, 19208, 16397, 51334, 16734, 16641, 60006, 20962, 19208, 17434, 18143, 19625, 16758, 16709, 16647, 22556, 16395, 24585, 16395, 16674, 43254, 16673, 20962, 17035, 16395, 16944, 18466, 16672, 16604, 16385, 57541, 16396, 16644, 21126, 25433, 18057, 16395, 16385, 16641, 32803, 23576, 16673, 16917, 16390, 16466, 17788, 19580, 16734, 16991, 31648, 19749, 16604, 16391, 16442, 16415, 16417, 16400, 16404, 16444, 16392, 16397, 16582, 16582, 19257, 25147, 16671, 31348, 16395, 25719, 16704, 16672, 18723, 29048, 16671, 17730, 16674, 29166, 17917, 16604, 16391, 16442, 16415, 16417, 16400, 16405, 16444, 16392, 16397, 24792, 16807, 17494, 16721, 59942, 16934, 19298, 20470, 16769, 18143, 30930, 16671, 17285, 18326, 21663, 20809, 26424, 16674, 16903, 18326, 21663, 19508, 19528, 16604, 16391, 16442, 16415, 16417, 16400, 16406, 16444, 16395, 16604, 16442, 16415, 16417, 16400, 16407, 16444, 16392, 16395, 16850, 35251, 20470, 19294, 18019, 23789, 16673, 26127, 16604, 16391, 16442, 16415, 16417, 16400, 16408, 16444, 16392, 16397, 28224, 16671, 16647, 38826, 23806, 16395, 18237, 18691, 20239, 17027, 20903, 16671, 17498, 19508, 19014, 16671, 22417, 18237, 24606, 16674, 16398, 16658, 17510, 19508, 27493, 16604, 16391, 16442, 16415, 16417, 16401, 16399, 16444, 16395, 16604, 16442, 16415, 16417, 16401, 16400, 16444, 16392, 16397, 18523, 16395, 30243, 25009, 16456, 16674, 26032, 16807, 19193, 17494, 16721, 17047, 16734, 24951, 22665, 17027, 17231, 16922, 19508, 19291, 16802, 33166, 16672, 18237, 18691, 16604, 16391, 16442, 16415, 16417, 16400, 16408, 16444, 16392, 16397, 40156, 16395, 16873, 28649, 17356, 16721, 16647, 18774, 17415, 25719, 16674, 24951, 22665, 16704, 22436, 48774, 16809, 25433, 18057, 16397, 16582, 16582, 24346, 16986, 23496, 16641, 18122, 18636, 16673, 19591, 16671, 17564, 16721, 19291, 23078, 16672, 18237, 18691, 30244, 16843, 21293, 21336, 17730, 20584, 16395, 17589, 16673, 16647, 19831, 27768, 16647, 17417, 20962, 17035, 16721, 17123, 26421, 31348, 16674, 16647, 56220, 20937, 16397, 16875, 18150, 16395, 20290, 31348, 16872, 16992, 37079, 23954, 16395, 16986, 16704, 16641, 17238, 20236, 18636, 16673, 23824, 16721, 38362, 16647, 18774, 17415, 25719, 16672, 18237, 18691, 19014, 16674, 24951, 22665, 16397, 16875, 17970, 16671, 22748, 17213, 34448, 16672, 16811, 18089, 16673, 18147, 16395, 16811, 19420, 57333, 16647, 24294, 16673, 19508, 16674, 20809, 19291, 16395, 16741, 17204, 16741, 16647, 25433, 18057, 19762, 18211, 16641, 38838, 17417, 18094, 16395, 30634, 16641, 19500, 20338, 26693, 23478, 18237, 18691, 19289, 16672, 19391, 16409, 17119, 46352, 16397, 16582, 16582, 45628, 17806, 17417, 20962, 17035, 25268, 16641, 24809, 18283, 16409, 17887, 17936, 16673, 19122, 16769, 19570, 16671, 16703, 16922, 38838, 16395, 16741, 25359, 16671, 17310, 16721, 16769, 17827, 16859, 16414, 19214, 20962, 17035, 16769, 52465, 29672, 16741, 16922, 37296, 16671, 21336, 17730, 17032, 18208, 16397, 19139, 21259, 22381, 16815, 24366, 28031, 16671, 18960, 17072, 17240, 17337, 19676, 16797, 16763, 19062, 16715, 16604, 16403, 16401, 17417, 19122, 16395, 28541, 28494, 16674, 26032, 21766, 16641, 17280, 16673, 17417, 19122, 16721, 16958, 29672, 16741, 49009, 16671, 21336, 17730, 16604, 16391, 16442, 16415, 16417, 16401, 16401, 16444, 16392, 16397, 27385, 18208, 16395, 18554, 16673, 16641, 33170, 16395, 28828, 16395, 16674, 51264, 29620, 16958, 27605, 16741, 16647, 17772, 17567, 19122, 29189, 16647, 17154, 17417, 17337, 19676, 16797, 16397, 30382, 19831, 17494, 18655, 38353, 16672, 16647, 17417, 19122, 29189, 17240, 17417, 34180, 16395, 16850, 17476, 38353, 16672, 17310, 29189, 29101, 16671, 18229, 19415, 16673, 34180, 16395, 16693, 16397, 16454, 16397, 16395, 17255, 16604, 16385, 51898, 16385, 16815, 16985, 23034, 16815, 16647, 16604, 16407, 16757, 16672, 16604, 16391, 16442, 16415, 16417, 16401, 16401, 16444, 16392, 16671, 16647, 16604, 16403, 16406, 16757, 16672, 16604, 16391, 16442, 16415, 16417, 16401, 16402, 16444, 16392, 16397, 20195, 16395, 16742, 18314, 16709, 17567, 17417, 20962, 17035, 16721, 22358, 18595, 22660, 16604, 16391, 16452, 16397, 16454, 16397, 16395, 51264, 29620, 16392, 16395, 22767, 16604, 16391, 16452, 16397, 16454, 16397, 16395, 22660, 24202, 16673, 16641, 17797, 19154, 16392, 16395, 16674, 18229, 16604, 16391, 16452, 16397, 16454, 16397, 16395, 17255, 25937, 16815, 16985, 16392, 19415, 16673, 19032, 16671, 21336, 17730, 16397, 16582, 16582, 17071, 18109, 16673, 16647, 18568, 26648, 16395, 16811, 19420, 26615, 16671, 18751, 16647, 18211, 17142, 18147, 19126, 16409, 16778, 16432, 16400, 16409, 22583, 18237, 18691, 19291, 21293, 29166, 39186, 16671, 24951, 22665, 16414, 16433, 16432, 16401, 16409, 17887, 16769, 16647, 24319, 16673, 20962, 16396, 16644, 21126, 19291, 16802, 19014, 16709, 17119, 46352, 16414, 16875, 18343, 16395, 16742, 18314, 16709, 25433, 18057, 16604, 16391, 19753, 16392, 16395, 16674, 26426, 17016, 38838, 17417, 19122, 17047, 20903, 16671, 25433, 20837, 16709, 18237, 18691, 16397, 16582, 16582, 18264, 16778, 16432, 16604, 16400, 16395, 16742, 17092, 22065, 17521, 16647, 19508, 16674, 20809, 19291, 24294, 16673, 17119, 46352, 20239, 16672, 19705, 17005, 24912, 16397, 19488, 16395, 16742, 28152, 16647, 18774, 17415, 18237, 18691, 19291, 16674, 24951, 41459, 24958, 17014, 18462, 17417, 20962, 17035, 16958, 20905, 16671, 16647, 20239, 16397, 16582, 16582, 18264, 16778, 16432, 16604, 16401, 16395, 16742, 28152, 16647, 25433, 18057, 16672, 17498, 24181, 22570, 16397, 45999, 44465, 25433, 18057, 64345, 16647, 27155, 28338, 16673, 16667, 18403, 16395, 20781, 21791, 16667, 18403, 16767, 18846, 18813, 16673, 21625, 24951, 22665, 16397, 17119, 19513, 17065, 17072, 18237, 18691, 20239, 25433, 20092, 16709, 18462, 17417, 19122, 16674, 46818, 16647, 24319, 16673, 16647, 25433, 18057, 16397, 16582, 16582, 19257, 28223, 16604, 16474, 16386, 16466, 16400, 16446, 16400, 16476, 16582, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16582, 16582, 17635, 19420, 19522, 16667, 19560, 16671, 22083, 16647, 20287, 16673, 17072, 19508, 16674, 20809, 19291, 29675, 29166, 51140, 16671, 24951, 16397, 19139, 37120, 16647, 20962, 44465, 19291, 16802, 19762, 16709, 18237, 18691, 17586, 16395, 16742, 22417, 16671, 21986, 19291, 16802, 19014, 16721, 22728, 16671, 29166, 39186, 16397, 20712, 29701, 17213, 18707, 16961, 17261, 17607, 17967, 16647, 20610, 16673, 19291, 16672, 16641, 18237, 18691, 19003, 16674, 17073, 24426, 16734, 17047, 16390, 16466, 39186, 16671, 19291, 16802, 27821, 16672, 18723, 16397, 26367, 16395, 16809, 40057, 17016, 20286, 16673, 20962, 17035, 18237, 18691, 20239, 20903, 16671, 25433, 20837, 16709, 16395, 16811, 19420, 19933, 22009, 28481, 17065, 29166, 52211, 16672, 18237, 18691, 17586, 16395, 20781, 27497, 18368, 18147, 16709, 17417, 19122, 16674, 19291, 16672, 16647, 18237, 18691, 20409, 16671, 17391, 17065, 18375, 17213, 52211, 16397, 16582, 16582, 19862, 16674, 22046, 29139, 16604, 16474, 16386, 16466, 16401, 16476, 16582, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16582, 16582, 17507, 46352, 16604, 16474, 16386, 16466, 16401, 16446, 16400, 16476, 16582, 16396, 16396, 16396, 16396, 16396, 16582, 16582, 17507, 46352, 16704, 16641, 18237, 18691, 20208, 17187, 20239, 16843, 24344, 16641, 18187, 20370, 16673, 19003, 16395, 18677, 16395, 16785, 21385, 16671, 42241, 26284, 16673, 18659, 16785, 29632, 16397, 24464, 16604, 16401, 16399, 16400, 16405, 16395, 20239, 17120, 19666, 16903, 16671, 16604, 16400, 16403, 16399, 18878, 16709, 17492, 17498, 16397, 21123, 17177, 16395, 16647, 22745, 17679, 16673, 18878, 16972, 17498, 16872, 16992, 19800, 16671, 16604, 16401, 16395, 16399, 16399, 16399, 16397, 16875, 17119, 46352, 16395, 20239, 16843, 17482, 16785, 16819, 41289, 18208, 16395, 16945, 16785, 38001, 18208, 16390, 22408, 16395, 17190, 20386, 16671, 17310, 22408, 16395, 16785, 18634, 16991, 16673, 17310, 22408, 16671, 16914, 18237, 23905, 16397, 19139, 16604, 16401, 16399, 16400, 16406, 16395, 16986, 16958, 20113, 16604, 16402, 16399, 16399, 18115, 20239, 16709, 17119, 46352, 16395, 27659, 16715, 16917, 25432, 16673, 16647, 19971, 16672, 19391, 16604, 16391, 16442, 16415, 16417, 16401, 16403, 16444, 16392, 16397, 39107, 22309, 19831, 17299, 16721, 16647, 20987, 16673, 17119, 46352, 20239, 16769, 16672, 16914, 16604, 16401, 16399, 16466, 16674, 16604, 16402, 16399, 16466, 16604, 16391, 16442, 16415, 16417, 16401, 16404, 16444, 16395, 16604, 16442, 16415, 16417, 16401, 16405, 16444, 16392, 16397, 42264, 20239, 16769, 16922, 18715, 16671, 19344, 16873, 16958, 28378, 16734, 24951, 17032, 21966, 20239, 16604, 16391, 16442, 16415, 16417, 16401, 16406, 16444, 16392, 16397, 16875, 16811, 18077, 16395, 16742, 23980, 16641, 22281, 16673, 22381, 16390, 17119, 46352, 22408, 16395, 16674, 29998, 16914, 24951, 22665, 17655, 16641, 24951, 41459, 27862, 17709, 16674, 37829, 43705, 16673, 20217, 19261, 16397, 16582, 16582, 19862, 29139, 16604, 16474, 16386, 16466, 16401, 16446, 16401, 16476, 16582, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16582, 16582, 17507, 20786, 16641, 33976, 20865, 16715, 16811, 18077, 16709, 16641, 18741, 17119, 46352, 18375, 16709, 18850, 16604, 16400, 16399, 16395, 16604, 16401, 16399, 16400, 16405, 16397, 16772, 22309, 16763, 17671, 16815, 18850, 16671, 19118, 16395, 16604, 16401, 16399, 16400, 16405, 16397, 16711, 17589, 20252, 43085, 16674, 24932, 43085, 50871, 16665, 17038, 33976, 20865, 46795, 16397, 17119, 17027, 30737, 17038, 22309, 16734, 20164, 44894, 16671 ]
[ 0, 16400, 16397, 35453, 16604, 16474, 16386, 19810, 16400, 16396, 50935, 17035, 16396, 16400, 16404, 16396, 16401, 16405, 16399, 16402, 16408, 16476, 16582, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16582, 16582, 16416, 20710, 16673, 20988, 16807, 16992, 20140, 16671, 24303, 18712, 16815, 16647, 18805, 17181, 19030, 16473, 55745, 16395, 44267, 16674, 24838, 55745, 18712, 27760, 16604, 16443, 16442, 16442, 16415, 16417, 16400, 16396, 50935, 17035, 16396, 16400, 16404, 16396, 16401, 16405, 16399, 16402, 16408, 16444, 16395, 16442, 16415, 16417, 16401, 16396, 50935, 17035, 16396, 16400, 16404, 16396, 16401, 16405, 16399, 16402, 16408, 16444, 16395, 16442, 16415, 16417, 16402, 16396, 50935, 17035, 16396, 16400, 16404, 16396, 16401, 16405, 16399, 16402, 16408, 16444, 16395, 16442, 16415, 16417, 16403, 16396, 50935, 17035, 16396, 16400, 16404, 16396, 16401, 16405, 16399, 16402, 16408, 16444, 16395, 16442, 16415, 16417, 16404, 16396, 50935, 17035, 16396, 16400, 16404, 16396, 16401, 16405, 16399, 16402, 16408, 16444, 16395, 16442, 16415, 16417, 16405, 16396, 50935, 17035, 16396, 16400, 16404, 16396, 16401, 16405, 16399, 16402, 16408, 16444, 16443, 16444, 16397, 17119, 16769, 20309, 16672, 18712, 50117, 16671, 17803, 19258, 19431, 16672, 16667, 19748, 17204, 17187, 40270, 36651, 16673, 16604, 16401, 16399, 16399, 25581, 16448, 16674, 26809, 18846, 17032, 16604, 16400, 16405, 16399, 31694, 16418, 16843, 19947, 16397, 27385, 19001, 17333, 23156, 27287, 16395, 44479, 16396, 19338, 19030, 16473, 55745, 18712, 50117, 16704, 26729, 16715, 17274, 16667, 19617, 18443, 16671, 16647, 27793, 16673, 19030, 16473, 55745, 21024, 16734, 21650, 16855, 26809, 16672, 16647, 21286, 18898, 16741, 17204, 16741, 16914, 17362, 18071, 22791, 48782, 36202, 46014, 16397, 16711, 19030, 16473, 55745, 18712, 20213, 56020, 20634, 17259, 23674, 44479, 30725, 16671, 16703, 17405, 16671, 24339, 26113, 17803, 16604, 16443, 16442, 16442, 16415, 16417, 16406, 16396, 50935, 17035, 16396, 16400, 16404, 16396, 16401, 16405, 16399, 16402, 16408, 16444, 16443, 16444, 16395, 16674, 16843, 16703, 28601, 16734, 20236, 28460, 16674, 22199, 16671, 23129, 49532, 16397, 16582, 16582, 16416, 20710, 16673, 19831, 16807, 29998, 20625, 16671, 26772, 19924, 18712, 17065, 44479, 16397, 18708, 18379, 58013, 61029, 16604, 16443, 16442, 16442, 16415, 16417, 16407, 16396, 50935, 17035, 16396, 16400, 16404, 16396, 16401, 16405, 16399, 16402, 16408, 16444, 16395, 16442, 16415, 16417, 16408, 16396, 50935, 17035, 16396, 16400, 16404, 16396, 16401, 16405, 16399, 16402, 16408, 16444, 16395, 16442, 16415, 16417, 16400, 16399, 16396, 50935, 17035, 16396, 16400, 16404, 16396, 16401, 16405, 16399, 16402, 16408, 16444, 16395, 16442, 16415, 16417, 16400, 16400, 16396, 50935, 17035, 16396, 16400, 16404, 16396, 16401, 16405, 16399, 16402, 16408, 16444, 16395, 16442, 16415, 16417, 16400, 16401, 16396, 50935, 17035, 16396, 16400, 16404, 16396, 16401, 16405, 16399, 16402, 16408, 16444, 16443, 16444, 16395, 17314, 22182, 43506, 16604, 16443, 16442, 16442, 16415, 16417, 16400, 16402, 16396, 50935, 17035, 16396, 16400, 16404, 16396, 16401, 16405, 16399, 16402, 16408, 16444, 16443, 16444, 16395, 47742, 20301, 16604, 16443, 16442, 16442, 16415, 16417, 16400, 16403, 16396, 50935, 17035, 16396, 16400, 16404, 16396, 16401, 16405, 16399, 16402, 16408, 16444, 16443, 16444, 16395, 16674, 32754, 23238, 23820, 16604, 16443, 16442, 16442, 16415, 16417, 16400, 16404, 16396, 50935, 17035, 16396, 16400, 16404, 16396, 16401, 16405, 16399, 16402, 16408, 16444, 16395, 16442, 16415, 16417, 16400, 16405, 16396, 50935, 17035, 16396, 16400, 16404, 16396, 16401, 16405, 16399, 16402, 16408, 16444, 16443, 16444, 16397, 16772, 19474, 16742, 16769, 30900, 25438, 16673, 16641, 26622, 16967, 16722, 31540, 16672, 16667, 22207, 19924, 22351, 17187, 18422, 16647, 26622, 16967, 16722, 19302, 16704, 16641, 19030, 16473, 55745, 16660, 16706, 25033, 16395, 16785, 16641, 17975, 16396, 24884, 16473, 55745, 26622, 16967, 16722, 27848, 16641, 56773, 17987, 16604, 16443, 16442, 16442, 16415, 16417, 16400, 16406, 16396, 50935, 17035, 16396, 16400, 16404, 16396, 16401, 16405, 16399, 16402, 16408, 16444, 16395, 16442, 16415, 16417, 16400, 16407, 16396, 50935, 17035, 16396, 16400, 16404, 16396, 16401, 16405, 16399, 16402, 16408, 16444, 16443, 16444, 16397, 16772, 22207, 19924, 27470, 16704, 16641, 21090, 16856, 16396, 34830, 60624, 16396, 40622, 20855, 16397, 16604, 16442, 23236, 16604, 16400, 16444, 16391, 16386, 50935, 17035, 16396, 16400, 16404, 16396, 16401, 16405, 16399, 16402, 16408, 16396, 16453, 16399, 16399, 16400, 16392, 16474, 18452, 16396, 18926, 16412, 16385, 19327, 16385, 16476, 18937, 16647, 20174, 17802, 16715, 16667, 20879, 16673, 19030, 16473, 55745, 18712, 20213, 56020, 30189, 16721, 17123, 16703, 22722, 16672, 18502, 16674, 16398, 16658, 26965, 19924, 29604, 16604, 16391, 16770, 52596, 16392, 16671, 24339, 17803, 19415, 19062, 16809, 20988, 17285, 16672, 16667, 19748, 17204, 16397, 16875, 16641, 19749, 17204, 16734, 16641, 19924, 16396, 28420, 33305, 16395, 16647, 19924, 35142, 16667, 17835, 35946, 17415, 16647, 24261, 16604, 16391, 16791, 17041, 24386, 20297, 16392, 16674, 16667, 22207, 22077, 31333, 16604, 16391, 17070, 43198, 27300, 16661, 16392, 16395, 30332, 17181, 16667, 17835, 17260, 33305, 16395, 35142, 16647, 20128, 27300, 16661, 16395, 16674, 16704, 21996, 16671, 20293, 16397, 16772, 37973, 18199, 17231, 16673, 16647, 25727, 19924, 16671, 24339, 26092, 16672, 16811, 17835, 17260, 19648, 16397, 16582, 16582, 16384, 16442, 38920, 16673, 16641, 17802, 20174, 16715, 16641, 19924, 18712, 50117, 17434, 16672, 17285, 32047, 16397, 16444, 16391, 50935, 17035, 16396, 16400, 16404, 16396, 16401, 16405, 16399, 16402, 16408, 16396, 16454, 16399, 16399, 16400, 16392, 16474, 16386, 50935, 17035, 16396, 16400, 16404, 16396, 16401, 16405, 16399, 16402, 16408, 16396, 16453, 16399, 16399, 16400, 16476, 16582, 16582, 52342, 16395, 16641, 19030, 16473, 55745, 18712, 20213, 56020, 24653, 16734, 17362, 18712, 16396, 16979, 24219, 24047, 16815, 25727, 19924, 16671, 26092, 16704, 29048, 16395, 16741, 16728, 31095, 17490, 16647, 29312, 16673, 17434, 17802, 33325, 16674, 16647, 20301, 19260, 16672, 16667, 22207, 19924, 18805, 16397, 16738, 16706, 25033, 26622, 16967, 16722, 16396, 18926, 19030, 16473, 55745, 20213, 17537, 17500, 16769, 22484, 17405, 16672, 21160, 44479, 16396, 31263, 18712, 50117, 20988, 16604, 16443, 16442, 16442, 16415, 16417, 16400, 16408, 16396, 50935, 17035, 16396, 16400, 16404, 16396, 16401, 16405, 16399, 16402, 16408, 16444, 16395, 16442, 16415, 16417, 16401, 16399, 16396, 50935, 17035, 16396, 16400, 16404, 16396, 16401, 16405, 16399, 16402, 16408, 16444, 16395, 16442, 16415, 16417, 16401, 16400, 16396, 50935, 17035, 16396, 16400, 16404, 16396, 16401, 16405, 16399, 16402, 16408, 16444, 16443, 16444, 16397, 21123, 17803, 21425, 16704, 24053, 16671, 22207, 43705, 23540, 17989, 16647, 19030, 16473, 55745, 18651, 16395, 16647, 21483, 16673, 16811, 18383, 16673, 20213, 56020, 16704, 17073, 18229, 54035, 46415, 56092, 16395, 16944, 16843, 18725, 18122, 43705, 16734, 17785, 40686, 21442, 20192, 16671, 16977, 19030, 16473, 55745, 17114, 16468, 18619, 16397, 16711, 22745, 21425, 17803, 16843, 16703, 24086, 17014, 16647, 50117, 19729, 28446, 17099, 16767, 17073, 62391, 23790, 16410, 20781, 16395, 16641, 18229, 62391, 23790, 20213, 56020, 16604, 16391, 16443, 16411, 16400, 16822, 28384, 16392, 16704, 20698, 25704, 16715, 17490, 28456, 17552, 16671, 35201, 16604, 16391, 17600, 32587, 16972, 18804, 27165, 16392, 16674, 27156, 16673, 36202, 16671, 16641, 27401, 17434, 16604, 16391, 16791, 16645, 18213, 19294, 16604, 16443, 16411, 16400, 16822, 28384, 16392, 16397, 18523, 16395, 16641, 18166, 64412, 16704, 17073, 17424, 17577, 19927, 16395, 34936, 42766, 18187, 20066, 18869, 18443, 16671, 18229, 35201, 24727, 16397, 18708, 19153, 16843, 16703, 19480, 46357, 16734, 49701, 17521, 26502, 16395, 16944, 18379, 16647, 18150, 16673, 17490, 32803, 16674, 20432, 27287, 16715, 33960, 16647, 22745, 44479, 20962, 16398, 16684, 18420, 19415, 16397, 16582, 16582, 16416, 17476, 19474, 16721, 35404, 16709, 16647, 28456, 17552, 16673, 16641, 16660, 16706, 25033, 16396, 18926, 19030, 16473, 55745, 20213, 56020, 16704, 16647, 23643, 16673, 16641, 23859, 17048, 25934, 16741, 16647, 17333, 23156, 17114, 47607, 16397, 16711, 23859, 17048, 25934, 17114, 47607, 16704, 20698, 34889, 16673, 16641, 18180, 16724, 19086, 19030, 16473, 55745, 25876, 19575, 16641, 22077, 22954, 16397, 21123, 16647, 25876, 16704, 20589, 17131, 16641, 16884, 22972, 22863, 17560, 21361, 16395, 17073, 17802, 19933, 16641, 17362, 35201, 20776, 16674, 16641, 17362, 18712, 24892, 56773, 17944, 20189, 16409, 16641, 27165, 17709, 16673, 19030, 16473, 55745, 48929, 22130, 17028, 45944, 34770, 16785, 36991, 17135, 16604, 16400, 16399, 16399, 19852, 32587, 16604, 16443, 16442, 16442, 16415, 16417, 16401, 16401, 16396, 50935, 17035, 16396, 16400, 16404, 16396, 16401, 16405, 16399, 16402, 16408, 16444, 16443, 16444, 16410, 17653, 19074, 16721, 19030, 16473, 55745, 48929, 16769, 23557, 16673, 25695, 17362, 26113, 17803, 16395, 22365, 16672, 16647, 17970, 16673, 16604, 16401, 16399, 16399, 16396, 16396, 16402, 16399, 16399, 16669, 16438, 16604, 16443, 16442, 16442, 16415, 16417, 16401, 16402, 16396, 50935, 17035, 16396, 16400, 16404, 16396, 16401, 16405, 16399, 16402, 16408, 16444, 16443, 16444, 16397, 16582, 16582, 20965, 23859, 17048, 25934, 16396, 19338, 19924, 18712, 20213, 56020, 20760, 16641, 17975, 16396, 24884, 16473, 55745, 26622, 16967, 16722, 16672, 16641, 22802, 18841, 16396, 16451, 18170, 18841, 19924, 22351, 16397, 16772, 26622, 16967, 16722, 16704, 31540, 17415, 17142, 23859, 17048, 25934, 17114, 16468, 18619, 16767, 17073, 16950, 36767, 17291, 16395, 16734, 17073, 17953, 17291, 32900, 41573, 16673, 16647, 22351, 30949, 16397, 16772, 22351, 36261, 16395, 25727, 16674, 19924, 21454, 16395, 18184, 16734, 26622, 16967, 16722, 36261, 16674, 18651, 21454, 49726, 16647, 25727, 16396, 43889, 19835, 40686, 16674, 21226, 23790, 16767, 16647, 26622, 16967, 16722, 16390, 16466, 16950, 36767, 17291, 16397, 16772, 23859, 17048, 25934, 62391, 36310, 17724, 19644, 17310, 24613, 16809, 16647, 31540, 26622, 16967, 16722, 16395, 16944, 30331, 16671, 16647, 25727, 19924, 16674, 19522, 16647, 31271, 17917, 16671, 16647, 17114, 16468, 18619, 16397, 16772, 29505, 16673, 16647, 23859, 17048, 25934, 22077, 22954, 20516, 16466, 17073, 62391, 36310, 16410, 20781, 16395, 16641, 23790, 16396, 47250, 23859, 17048, 25934, 17434, 16843, 16703, 20087, 16674, 50431, 16809, 29737, 16647, 22954, 16390, 16466, 20570, 16674, 32622, 16397, 16772, 26641, 16673, 23859, 17048, 25934, 17114, 16468, 18619, 50020, 16641, 17802, 17187, 16647, 19030, 16473, 19171, 17168, 24778, 16769, 19765, 27894, 16815, 16647, 18055, 16398, 56090, 43205, 16395, 25428, 16647, 19938, 16673, 51278, 16398, 17094, 35148, 16709, 16647, 19030, 16473, 55745, 18651, 16397, 16582, 16582, 16853, 28138, 16673, 16811, 16985, 16704, 16671, 17802, 16641, 28456, 17434, 16395, 17274, 16741, 16641, 20349, 22547, 16395, 19030, 16473, 55745, 20213, 56020, 16721, 16704, 23557, 16673, 30484, 25105, 26113, 17803, 16715, 31384, 16674, 17114, 16468, 18619, 17181, 16641, 18898, 16673, 17204, 19378, 19924, 20627, 16397, 17170, 19420, 25268, 16647, 32957, 18466, 16673, 26182, 16674, 30156, 17586, 16715, 19001, 20087, 16395, 47368, 16395, 16674, 46555, 17757, 16665, 19924, 18712, 20213, 17537, 17500, 16397, 16582, 16582, 16401, 16397, 61719, 22678, 47377, 16604, 16474, 16386, 19810, 16401, 16396, 50935, 17035, 16396, 16400, 16404, 16396, 16401, 16405, 16399, 16402, 16408, 16476, 16582, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16582, 16582, 16416, 26622, 16967, 16722, 29797, 16734, 17142, 19030, 16473, 55745, 27440, 16672, 26965, 21032, 16604, 16391, 16449, 16706, 25033, 16392, 16395, 17187, 16647, 17142, 19030, 16473, 55745, 27440, 16807, 16647, 17396, 46444, 28030, 16395, 16872, 16992, 17405, 16671, 17802, 16647, 20808, 37507, 17280, 16673, 18712, 50117, 20988, 16397, 16772, 27966, 16704, 23540, 17415, 16647, 33656, 33781, 16674, 16647, 17772, 16398, 33437, 43267, 16397, 16772, 21139, 52166, 31952, 30191, 16647, 20937, 16673, 16647, 26622, 16967, 16722, 18383, 19030, 16473, 55745, 16660, 16706, 25033, 16958, 17092, 26552, 16809, 19174, 17283, 16604, 16393, 16688, 16813, 16397, 16393, 16604, 16443, 16442, 16442, 16415, 16417, 16401, 16403, 16396, 50935, 17035, 16396, 16400, 16404, 16396, 16401, 16405, 16399, 16402, 16408, 16444, 16395, 16442, 16415, 16417, 16401, 16404, 16396, 50935, 17035, 16396, 16400, 16404, 16396, 16401, 16405, 16399, 16402, 16408, 16444, 16443, 16444, 16395, 17187, 16647, 17358, 17946, 16767, 16647, 17953, 17291, 16395, 16604, 16387, 16443, 24839, 16387, 16395, 16674, 16647, 20705, 16709, 16647, 33781, 16395, 16604, 16387, 16432, 16387, 16395, 16769, 19359, 16671, 16667, 21627, 19835, 16767, 16647, 17953, 17291, 16395, 16604, 16387, 16421, 16387, 16674, 16667, 21627, 27966, 17030, 16647, 43267, 16395, 16604, 16387, 16437, 16387, 17181, 16641, 16604, 16401, 32317, 16604, 16401, 25732, 16397, 16772, 25732, 26832, 17131, 20796, 19527, 16843, 16703, 19517, 16409, 16604, 16387, 16387, 16443, 18364, 16474, 56254, 16476, 16582, 16443, 24839, 16604, 16443, 16443, 16582, 16432, 16604, 16443, 16443, 16582, 16443, 16806, 16474, 56254, 16476, 16604, 16412, 16604, 16443, 18364, 16474, 56254, 16476, 16582, 16443, 19873, 16474, 16466, 16446, 16474, 16400, 16400, 16476, 16445, 16474, 16420, 16476, 16427, 16445, 16474, 16402, 16476, 16476, 16474, 16401, 18307, 16445, 16474, 16402, 16476, 16476, 16604, 16389, 16604, 16474, 16396, 16604, 16443, 19873, 16474, 16402, 16451, 16446, 16474, 16402, 16400, 16476, 16427, 16445, 16474, 16401, 16476, 16476, 16474, 16403, 16455, 16445, 16474, 16401, 16476, 16476, 16476, 16604, 16443, 16443, 16582, 16474, 16396, 16604, 16443, 19873, 16474, 16402, 16451, 16446, 16474, 16402, 16400, 16476, 16427, 16445, 16474, 16401, 16476, 16476, 16474, 16403, 16455, 16445, 16474, 16401, 16476, 16476, 16476, 16604, 16389, 16604, 16474, 16443, 19873, 16474, 16401, 16443, 29650, 16446, 16474 ]
[ 0, 19577, 49815, 19020, 16409, 16398, 16398, 17094, 49815, 16397, 18431, 16582, 16652, 19577, 49815, 27589, 16604, 16386, 16406, 16404, 16409, 21465, 20603, 24189, 16604, 16389, 38731, 21509, 19020, 16409, 16398, 16398, 17094, 49815, 16397, 18431, 16398, 28240, 16398, 16401, 16399, 16400, 16408, 16398, 16399, 16401, 16398, 17094, 49815, 24373, 16396, 16406, 16404, 16396, 18489, 16396, 16833, 16396, 16467, 18719, 16396, 25567, 21669, 16396, 41113, 16582, 16411, 16463, 16413, 16411, 25683, 31342, 16412, 16385, 16398, 30516, 16398, 17094, 49815, 24373, 16398, 29721, 16397, 27180, 16385, 23035, 16412, 16385, 19577, 49815, 27589, 32159, 16385, 25597, 16412, 16385, 16400, 16399, 16399, 16388, 16385, 22530, 16412, 16385, 16399, 16385, 16604, 16398, 16413, 16604, 16411, 16398, 16463, 16413, 16582, 16411, 16463, 16413, 16411, 16449, 16413, 19577, 49815, 27589, 16604, 16401, 16399, 16400, 16408, 16396, 16399, 16401, 16411, 16398, 16449, 16413, 16395, 16604, 16411, 16456, 16413, 37083, 16604, 16386, 16406, 16404, 16411, 16398, 16456, 16413, 16411, 16398, 16463, 16413, 16582, 16411, 16455, 16403, 16413, 31201, 16411, 16398, 16455, 16403, 16413, 16582, 16411, 16463, 16413, 17635, 16704, 16604, 16411, 16456, 16413, 19577, 49815, 27589, 16411, 16398, 16456, 16413, 16395, 16667, 32418, 29442, 16815, 16604, 16411, 16448, 26558, 16412, 16385, 16398, 16385, 16413, 19577, 49815, 16411, 16398, 16448, 16413, 16397, 16411, 16398, 16463, 16413, 16582, 16411, 16463, 16413, 16411, 16456, 16413, 16411, 16449, 16413, 17991, 16732, 17137, 16671, 20028, 17213, 51125, 16672, 16912, 19624, 43702, 16395, 17693, 17030, 16671, 16647, 16604, 16411, 16448, 26558, 16412, 16385, 16398, 47345, 16398, 16385, 16413, 19577, 49815, 27589, 38589, 19242, 16411, 16398, 16448, 16413, 16671, 17430, 16903, 16397, 16411, 16398, 16449, 16413, 16411, 16398, 16456, 16413, 16411, 16398, 16463, 16413, 16582, 16411, 16455, 16403, 16413, 20743, 20603, 24189, 16411, 16398, 16455, 16403, 16413, 16582, 16411, 16463, 16413, 18473, 17963, 16687, 16390, 16690, 16992, 36483, 16671, 16887, 19708, 16673, 16641, 16604, 16411, 16448, 26558, 16412, 16385, 16398, 28240, 16398, 16385, 16413, 19577, 49815, 20331, 17498, 16411, 16398, 16448, 16413, 17492, 17649, 16397, 17933, 18479, 16980, 16687, 16843, 17754, 16728, 16903, 16395, 16850, 16687, 17137, 16671, 17590, 16397, 16411, 16398, 16463, 16413, 16582, 16411, 16463, 16413, 31181, 16647, 16604, 16411, 16448, 26558, 16412, 16385, 16398, 28240, 16398, 16401, 16399, 16400, 16408, 16398, 16399, 16400, 16398, 17094, 49815, 24373, 16396, 16406, 16403, 16396, 17283, 16396, 18252, 16385, 16413, 46924, 16604, 16411, 16456, 16413, 19577, 49815, 27589, 16411, 16398, 16456, 16413, 29442, 16411, 16398, 16448, 16413, 16395, 16641, 19201, 16673, 19105, 18469, 16687, 16604, 16411, 16448, 26558, 16412, 16385, 16398, 28240, 16398, 16401, 16399, 16400, 16408, 16398, 16399, 16401, 16398, 18489, 16396, 16833, 16396, 40076, 16396, 53990, 16396, 44452, 16396, 19295, 16976, 16396, 18292, 16879, 16756, 16385, 16413, 37286, 16641, 21465, 20603, 24816, 16671, 17261, 16734, 22269, 19464, 16411, 16398, 16448, 16413, 16395, 16674, 17367, 17649, 16687, 16604, 16411, 16448, 26558, 16412, 16385, 16398, 28240, 16398, 16401, 16399, 16400, 16408, 16398, 16399, 16401, 16398, 18489, 16396, 16833, 16396, 40076, 16396, 49926, 22301, 16396, 25567, 21669, 16385, 16413, 37286, 16931, 18065, 16912, 17304, 27165, 38731, 20328, 16411, 16398, 16448, 16413, 16397, 23321, 16891, 17310, 22408, 16980, 16732, 22768, 17007, 16397, 16411, 16398, 16463, 16413, 16582, 16411, 16455, 16403, 16413, 35108, 16396, 64523, 16661, 21465, 20603, 38731, 20328, 16414, 16411, 16398, 16455, 16403, 16413, 16582, 16411, 16463, 16413, 33535, 16673, 16647, 21465, 20603, 38731, 19943, 16395, 16986, 16390, 16466, 17536, 16687, 16390, 16690, 16992, 22438, 16715, 16641, 17437, 16397, 17376, 16732, 17123, 17039, 16395, 19333, 16647, 16604, 16402, 16396, 16395, 16604, 16405, 16396, 16395, 16674, 16604, 16400, 16401, 16396, 24863, 38731, 19943, 16769, 16917, 16396, 18489, 24763, 16410, 16873, 17121, 16390, 16467, 25103, 23570, 16397, 23687, 16704, 19655, 16715, 17259, 17047, 16395, 16929, 18422, 17097, 17137, 16671, 18367, 18266, 16395, 16785, 17137, 16671, 20446, 17014, 16671, 23570, 16397, 17403, 21841, 16673, 20045, 16829, 23570, 16914, 17564, 17014, 16728, 54027, 16395, 16944, 16687, 26222, 23225, 16397, 16411, 16398, 16463, 16413, 16582, 16411, 16463, 16413, 18473, 16687, 16763, 24462, 16980, 17047, 16961, 16945, 16674, 17231, 16667, 20328, 16671, 25103, 23570, 16914, 38731, 20584, 16397, 17999, 16703, 18271, 16395, 16811, 16961, 16703, 19765, 32311, 16395, 16672, 18150, 16671, 16647, 17788, 17975, 16396, 64523, 16661, 24029, 16397, 16411, 16398, 16463, 16413, 16582, 16411, 16463, 16413, 16424, 16390, 16690, 19438, 16604, 16411, 16448, 26558, 16412, 16385, 16398, 41113, 16398, 16401, 16399, 16400, 16408, 16398, 16399, 16401, 16398, 41591, 16396, 27764, 16396, 64523, 16385, 16413, 16448, 21509, 16671, 17704, 16931, 16811, 20328, 16411, 16398, 16448, 16413, 16397, 16411, 16398, 16463, 16413, 16582, 16411, 16463, 16413, 16424, 17039, 16811, 29442, 17930, 16390, 16467, 16807, 16641, 19770, 23072, 17461, 16604, 16391, 34314, 16687, 22111, 16647, 17719, 38245, 18661, 17032, 18813, 18777, 19395, 16728, 35656, 16392, 16395, 16850, 16687, 16961, 17324, 23225, 16728, 16980, 18594, 16929, 27955, 16811, 16961, 20399, 16709, 16811, 21509, 16397, 21380, 16732, 16397, 16411, 16398, 16463, 16413, 16582, 16411, 16463, 16413, 16411, 16456, 16413, 16396, 19824, 16411, 16398, 16456, 16413, 16411, 16398, 16463, 16413, 16582, 19577, 49815, 27589, 35444, 16395, 16604, 16401, 16399, 18925, 16604, 16401, 16399, 16400, 16408, 16604, 16399, 16403, 16409, 16402, 16405, 16409, 16404, 16399, 16604, 16394, 16399, 16399, 16399, 16399, 26560, 57854, 16400, 16400, 16404, 16400, 16406, 16767, 19562, 16409, 16398, 16398, 17094, 49815, 16397, 18431, 31989, 16732, 16945, 16667, 20328, 16671, 25103, 23570, 16647, 21465, 20603, 38731, 20584, 16414, 19020, 16409, 16398, 16398, 17094, 49815, 16397, 18431, 16398, 41113, 16398, 16401, 16399, 16400, 16408, 16398, 16399, 16401, 16398, 41591, 16396, 27764, 16396, 64523, 16582, 16411, 17024, 18865, 16412, 16385, 16398, 16465, 17222, 16397, 27702, 16385, 18955, 16396, 52555, 16688, 16412, 16385, 45044, 16396, 16407, 16385, 18197, 16412, 16385, 21428, 16385, 19931, 16412, 16385, 41113, 16396, 17481, 16396, 57823, 16385, 16413, 16582, 16411, 20901, 16413, 16411, 20901, 17568, 16412, 16385, 41113, 16385, 16413, 16582, 16411, 20901, 17568, 16412, 16385, 32397, 16396, 17024, 16385, 16413, 16582, 16411, 20901, 17568, 16412, 16385, 21917, 17308, 16385, 16413, 16582, 16411, 20901, 17568, 16412, 16385, 17024, 16396, 20759, 20170, 16385, 16413, 16411, 20901, 17568, 16412, 16385, 17024, 16396, 20153, 16385, 19931, 16412, 16385, 27305, 16396, 38013, 16396, 16399, 16396, 49743, 16385, 16413, 16582, 16411, 19974, 17568, 16412, 16385, 23568, 16385, 16715, 16412, 16385, 27305, 16396, 38013, 16396, 16399, 16385, 16413, 16411, 22979, 18383, 16412, 16385, 43566, 16385, 19931, 16412, 16385, 27305, 16396, 38013, 16396, 16399, 16385, 17830, 16412, 16385, 38013, 16385, 18020, 16412, 16385, 16399, 16385, 17568, 16412, 16385, 17024, 16396, 43566, 16385, 16604, 16398, 16413, 16687, 17121, 16389, 16386, 16399, 16402, 16408, 16410, 16467, 17231, 21465, 20603, 16411, 16398, 19974, 16413, 16582, 16411, 16398, 20901, 16413, 16582, 16411, 20901, 17568, 16412, 16385, 17024, 16396, 20153, 16385, 19931, 16412, 16385, 27305, 16396, 38013, 16396, 16400, 16396, 49743, 16385, 16413, 16582, 16411, 19974, 17568, 16412, 16385, 23568, 16385, 16715, 16412, 16385, 27305, 16396, 38013, 16396, 16400, 16385, 16413, 16411, 22979, 18383, 16412, 16385, 43566, 16385, 19931, 16412, 16385, 27305, 16396, 38013, 16396, 16400, 16385, 17830, 16412, 16385, 38013, 16385, 18020, 16412, 16385, 16400, 16385, 17568, 16412, 16385, 17024, 16396, 43566, 16385, 16604, 16398, 16413, 16687, 17097, 17231, 21465, 20603, 16715, 17953, 16411, 16398, 19974, 16413, 16582, 16411, 16398, 20901, 16413, 16582, 16411, 20901, 17568, 16412, 16385, 17024, 16396, 20153, 16385, 19931, 16412, 16385, 27305, 16396, 38013, 16396, 16401, 16396, 49743, 16385, 16413, 16582, 16411, 19974, 17568, 16412, 16385, 23568, 16385, 16715, 16412, 16385, 27305, 16396, 38013, 16396, 16401, 16385, 16413, 16411, 22979, 18383, 16412, 16385, 43566, 16385, 19931, 16412, 16385, 27305, 16396, 38013, 16396, 16401, 16385, 17830, 16412, 16385, 38013, 16385, 18020, 16412, 16385, 16401, 16385, 17568, 16412, 16385, 17024, 16396, 43566, 16385, 16604, 16398, 16413, 17933, 16395, 16687, 17097, 17137, 16671, 17839, 18266, 16411, 16398, 19974, 16413, 16582, 16411, 16398, 20901, 16413, 16582, 16411, 20901, 17568, 16412, 16385, 17024, 16396, 20153, 16385, 19931, 16412, 16385, 27305, 16396, 38013, 16396, 16402, 16396, 49743, 16385, 16413, 16582, 16411, 19974, 17568, 16412, 16385, 23568, 16385, 16715, 16412, 16385, 27305, 16396, 38013, 16396, 16402, 16385, 16413, 16411, 22979, 18383, 16412, 16385, 43566, 16385, 19931, 16412, 16385, 27305, 16396, 38013, 16396, 16402, 16385, 17830, 16412, 16385, 38013, 16385, 18020, 16412, 16385, 16402, 16385, 17568, 16412, 16385, 17024, 16396, 43566, 16385, 16604, 16398, 16413, 17933, 16395, 16687, 20569, 16671, 20446, 17014, 16671, 23570, 16411, 16398, 19974, 16413, 16582, 16411, 16398, 20901, 16413, 16582, 16411, 20901, 17568, 16412, 16385, 17024, 16396, 20153, 16385, 19931, 16412, 16385, 27305, 16396, 38013, 16396, 16403, 16396, 49743, 16385, 16413, 16582, 16411, 19974, 17568, 16412, 16385, 23568, 16385, 16715, 16412, 16385, 27305, 16396, 38013, 16396, 16403, 16385, 16413, 16411, 22979, 18383, 16412, 16385, 43566, 16385, 19931, 16412, 16385, 27305, 16396, 38013, 16396, 16403, 16385, 17830, 16412, 16385, 38013, 16385, 18020, 16412, 16385, 16403, 16385, 17568, 16412, 16385, 17024, 16396, 43566, 16385, 16604, 16398, 16413, 20648, 16395, 16687, 16389, 16386, 16399, 16402, 16408, 16410, 16451, 16945, 16671, 16807, 16721, 20328, 16395, 16850, 17123, 16804, 17231, 16728, 16411, 16398, 19974, 16413, 16582, 16411, 16398, 20901, 16413, 16582, 16411, 20901, 17568, 16412, 16385, 17024, 16396, 20153, 16385, 19931, 16412, 16385, 27305, 16396, 38013, 16396, 16404, 16396, 49743, 16385, 16413, 16582, 16411, 19974, 17568, 16412, 16385, 23568, 16385, 16715, 16412, 16385, 27305, 16396, 38013, 16396, 16404, 16385, 16413, 16411, 22979, 18383, 16412, 16385, 43566, 16385, 19931, 16412, 16385, 27305, 16396, 38013, 16396, 16404, 16385, 17830, 16412, 16385, 38013, 16385, 18020, 16412, 16385, 16404, 16385, 17568, 16412, 16385, 17024, 16396, 43566, 16385, 16604, 16398, 16413, 20648, 16395, 16687, 16389, 16386, 16399, 16402, 16408, 16410, 16451, 20057, 17231, 16721, 20328, 16411, 16398, 19974, 16413, 16582, 16411, 16398, 20901, 16413, 16582, 16411, 16398, 20901, 16413, 16604, 16411, 16398, 20901, 16413, 16582, 16411, 22979, 18383, 16412, 16385, 43493, 16385, 17830, 16412, 16385, 16754, 16385, 19931, 16412, 16385, 27305, 16396, 32397, 16385, 18020, 16412, 16385, 64663, 16385, 17568, 16412, 16385, 17024, 16396, 43493, 16385, 16604, 16398, 16413, 16582, 16411, 16398, 20901, 16413, 16582, 16411, 22979, 18383, 16412, 16385, 38112, 16385, 17830, 16412, 16385, 17024, 16446, 26355, 16446, 16699, 16385, 19931, 16412, 16385, 17024, 16396, 16400, 16406, 16449, 16400, 33997, 16406, 16403, 16453, 16399, 16401, 16449, 16400, 16400, 31467, 16406, 16406, 16452, 16401, 16400, 16400, 16402, 33879, 16403, 16404, 16448, 16407, 16448, 16400, 16402, 16385, 18020, 16412, 16385, 17024, 16396, 16400, 16406, 16449, 16400, 33997, 16406, 16403, 16453, 16399, 16401, 16449, 16400, 16400, 31467, 16406, 16406, 16452, 16401, 16400, 16400, 16402, 33879, 16403, 16404, 16448, 16407, 16448, 16400, 16402, 16385, 16604, 16398, 16413, 16582, 16411, 22979, 18383, 16412, 16385, 38112, 16385, 17830, 16412, 16385, 17024, 16446, 16699, 16385, 19931, 16412, 16385, 27305, 16396, 41113, 16396, 17481, 16396, 57823, 16385, 18020, 16412, 16385, 41113, 16446, 17481, 16446, 57823, 16385, 16604, 16398, 16413, 16582, 16411, 16398, 20901, 16413, 16582, 16411, 16398, 20901, 16413, 16411, 16398, 17024, 16413, 16582, 19020, 16409, 16398, 16398, 17094, 49815, 16397, 18431, 16398, 41113, 16398, 16401, 16399, 16400, 16408, 16398, 16399, 16401, 16398, 41591, 16396, 27764, 16396, 64523, 16386, 36900, 35444, 16395, 16604, 16401, 16399, 18925, 16604, 16401, 16399, 16400, 16408, 16604, 16399, 16403, 16409, 16401, 16408, 16409, 16400, 16402, 16604, 16394, 16399, 16399, 16399, 16399, 26560, 57854, 16400, 16400, 16404, 16400, 16405, 16767, 19562, 16409, 16398, 16398, 17094, 49815, 16397, 18431, 20743, 20603, 24816, 16409, 27165, 38731, 16414, 19020, 16409, 16398, 16398, 17094, 49815, 16397, 18431, 16398, 28240, 16398, 16401, 16399, 16400, 16408, 16398, 16399, 16401, 16398, 18489, 16396, 16833, 16396, 40076, 16396, 49926, 22301, 16396, 25567, 21669, 16582, 16411, 16463, 16413, 16411, 16448, 26558, 16412, 16385, 16398, 41591, 16398, 16385, 16413, 16411, 25683, 31342, 16412, 16385, 16398, 41591, 16398, 33641, 16398, 20595, 16397, 27180, 16385, 29727, 16412, 16385, 18357, 16385, 16604, 16398, 16413, 16411, 16398, 16448, 16413, 17071, 26598, 17719, 16452, 17897, 16395, 20052, 16763, 19425, 18266, 16395, 16715, 17016, 16961, 16703, 19570, 38266, 16671, 16703, 16641, 17362, 18787, 16395, 16674, 17155, 16987, 16785, 16859, 16647, 28572, 16961, 19578, 16641, 18166, 20164, 27254, 16395, 22484, 30233, 16931, 18519, 16673, 16647, 19170, 18787, 16397, 16411, 16398, 16463, 16413, 16582, 16411, 16463, 16413, 16424, 17363, 16829, 16811, 16715, 16604, 16411, 16448, 26558, 16412, 16385, 16398, 23966, 16645, 16398, 16385, 16413, 47136, 16411, 16398, 16448, 16413, 16395, 16887, 16764, 19349, 16671, 21619, 26538, 16674, 29007, 16715, 19029, 16785, 34770, 16395, 17608, 16721, 18528, 16704, 17363, 18545, 16715, 16764, 24976, 16397, 25916, 16728, 16704, 17027, 18125, 16709, 16604, 16411, 16448, 26558, 16412, 16385, 19597, 16409, 16398, 16398, 17950, 16397, 17793, 17550, 16397, 17070, 16398, 16684, 16463, 16400, 16401, 16403, 16414, 18452, 20323, 18320, 16412, 16401, 16399, 16400, 16389, 17113, 16410, 16684, 16450, 16412, 26852, 16389, 17113, 16410, 48711, 16446, 48776, 16412, 34469, 16446, 16645, 16446, 17793, 17550, 16446, 27094, 16389, 17113, 16410, 48711 ]
[ 0, 38194, 16604, 16474, 16386, 37256, 16400, 16476, 16582, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16582, 16582, 18069, 17239, 16802, 17231, 16673, 38419, 16672, 18723, 16674, 16672, 49843, 24139, 16872, 25901, 16672, 16647, 40328, 16673, 16647, 19588, 18805, 16734, 17213, 34161, 16604, 16391, 22217, 16416, 16604, 16442, 16415, 23965, 16401, 16399, 16444, 16392, 16397, 19525, 16858, 16647, 49843, 38419, 16604, 16391, 16437, 17894, 16392, 16395, 17097, 16604, 16401, 16399, 16388, 16769, 17405, 16671, 18233, 29160, 16410, 16647, 16977, 16604, 16407, 16399, 16388, 16769, 17405, 16671, 19650, 24720, 16785, 16671, 23129, 22270, 19134, 16604, 16391, 18763, 32022, 16604, 16442, 16415, 23965, 16405, 16404, 16444, 16392, 16397, 16772, 46270, 16673, 16965, 17894, 35177, 16604, 16391, 20563, 16604, 16402, 16671, 16604, 16401, 16401, 16399, 18331, 16454, 18331, 27114, 16445, 25296, 16400, 16445, 16392, 23451, 16709, 22270, 19101, 16674, 16647, 18383, 16673, 44734, 17405, 16604, 16391, 29002, 20242, 16604, 16442, 16415, 23965, 16402, 16400, 16444, 16392, 16397, 18916, 17255, 32533, 16395, 16965, 17894, 16769, 23971, 16604, 16391, 20563, 16604, 16400, 16399, 16671, 16604, 16408, 16399, 16388, 16392, 35052, 16815, 16647, 18370, 16671, 16647, 18805, 18422, 16672, 16667, 41400, 17510, 16785, 16741, 20432, 58928, 16604, 16391, 22310, 37459, 17605, 16813, 16397, 16604, 16442, 16415, 23965, 16401, 16400, 16444, 16410, 20742, 16661, 16396, 16434, 24527, 16826, 22829, 17605, 16813, 16397, 16604, 16442, 16415, 23965, 16402, 16399, 16444, 16392, 16397, 60874, 33576, 16807, 16992, 17494, 16672, 22270, 19493, 16452, 17089, 16674, 16672, 24910, 16672, 29879, 28474, 16815, 16604, 16399, 16397, 16399, 16400, 16671, 16604, 16400, 16403, 16401, 16399, 18331, 26605, 18331, 27114, 16445, 25296, 16400, 16445, 16604, 16391, 28497, 16674, 57189, 16604, 16442, 16415, 23965, 16404, 16399, 16444, 16392, 16397, 16875, 29621, 58487, 16395, 65437, 16769, 18973, 16671, 17969, 16672, 22189, 61295, 16395, 16674, 16914, 29879, 16672, 17969, 16674, 27710, 35673, 16769, 17362, 16604, 16391, 35737, 17605, 16813, 16397, 16604, 16442, 16415, 23965, 16403, 16406, 16444, 16392, 16397, 17008, 19031, 16672, 16647, 24734, 16673, 16965, 17894, 16674, 16914, 58928, 16672, 16647, 18805, 16843, 16807, 16641, 20809, 19032, 16709, 18247, 38267, 16604, 16391, 28497, 16674, 57189, 16604, 16442, 16415, 23965, 16404, 16399, 16444, 16392, 16397, 16772, 17154, 18545, 38419, 17405, 16672, 49843, 24139, 18379, 44207, 23082, 16933, 17462, 16395, 20685, 28875, 35318, 16723, 18339, 16395, 23776, 17741, 18302, 16674, 57620, 16645, 16707, 18302, 16604, 16391, 42195, 16604, 16442, 16415, 23965, 16401, 16402, 16444, 16392, 16397, 16582, 16582, 59018, 28875, 35318, 16723, 18339, 16604, 16391, 16421, 63091, 16392, 16769, 16641, 17009, 16395, 35223, 17585, 16673, 38419, 16734, 18354, 24246, 31848, 18865, 16674, 16641, 20240, 26335, 16673, 20381, 16396, 20284, 31018, 19962, 16397, 16773, 63091, 16769, 17405, 16715, 16647, 19165, 16673, 29160, 16673, 16647, 50145, 34472, 16395, 16647, 53253, 17434, 16395, 16647, 35386, 34472, 16674, 16647, 20848, 16672, 24139, 16604, 16391, 42195, 16604, 16442, 16415, 23965, 16401, 16403, 16444, 16392, 16674, 16672, 33701, 36065, 16673, 33670, 16395, 51402, 16395, 42031, 16395, 22189, 16395, 16741, 17204, 16741, 23412, 16674, 28268, 16604, 16391, 20321, 26911, 16604, 16442, 16415, 23965, 16401, 16401, 16444, 16392, 16397, 36199, 28875, 35318, 16723, 18339, 16769, 20349, 24797, 16395, 18443, 16671, 16944, 16873, 16769, 16804, 37863, 30213, 17845, 16672, 16647, 18370, 16397, 21861, 44914, 16843, 16703, 35052, 16395, 16674, 16873, 16843, 17393, 16914, 17210, 16671, 50878, 19165, 22372, 16785, 16671, 16647, 18805, 16604, 16391, 44874, 43033, 17605, 16813, 16397, 16604, 16442, 16415, 23965, 16405, 16407, 16444, 16392, 16397, 16772, 41712, 16673, 16773, 63091, 19863, 61036, 24727, 16647, 22089, 16673, 44734, 18783, 17197, 35148, 16672, 17969, 16674, 16672, 24910, 16604, 16391, 30346, 24390, 17605, 16813, 16397, 16604, 16442, 16415, 23965, 16404, 16404, 16444, 16392, 16397, 17513, 16807, 16992, 17494, 16672, 32958, 50878, 16604, 16391, 16401, 16404, 16406, 16402, 18331, 17284, 18331, 16427, 16445, 25296, 16400, 16445, 16392, 16395, 24745, 50878, 16604, 16391, 16400, 16399, 16400, 16402, 18331, 17284, 18331, 16427, 16445, 25296, 16400, 16445, 16392, 16674, 16672, 17554, 30617, 16604, 16391, 16400, 16407, 16397, 16403, 18331, 26605, 18331, 27114, 16445, 25296, 16400, 16445, 16392, 16604, 16391, 16425, 16915, 17605, 16813, 16397, 16604, 16442, 16415, 23965, 16402, 16404, 16444, 16392, 16397, 17986, 16865, 17405, 16741, 36234, 22537, 16604, 16391, 16453, 20056, 17089, 16673, 44346, 16395, 42031, 16674, 40585, 16392, 16704, 16647, 17736, 19419, 16673, 40328, 16673, 24910, 16734, 38419, 16604, 16391, 35737, 17605, 16813, 16397, 16604, 16442, 16415, 23965, 16403, 16407, 16444, 16392, 16397, 22758, 16396, 16674, 16640, 23213, 16682, 16655, 16964, 16604, 16391, 33277, 16445, 16401, 16394, 16445, 16395, 48869, 16445, 16401, 16394, 16445, 16674, 17385, 16445, 16402, 16394, 16445, 16392, 17510, 24797, 41013, 16734, 20685, 28875, 35318, 16723, 18339, 16397, 16772, 17439, 16459, 17099, 16769, 24906, 46317, 22107, 16672, 24910, 16395, 16674, 16873, 19108, 16703, 16827, 19176, 16891, 16673, 16728, 16604, 16391, 16435, 16865, 16459, 17605, 16813, 16397, 16604, 16442, 16415, 23965, 16405, 16403, 16444, 16410, 38523, 24945, 19408, 17115, 24422, 17605, 16813, 16397, 16604, 16442, 16415, 23965, 16400, 16406, 16444, 16392, 16397, 16772, 24734, 16673, 16773, 63091, 16672, 16647, 24910, 36234, 17845, 16734, 16947, 16865, 32978, 16815, 16604, 16399, 16397, 16399, 16400, 16671, 16604, 16399, 16397, 16403, 18331, 26605, 18331, 27114, 16445, 25296, 16400, 16445, 16673, 24910, 16395, 16674, 16728, 21002, 16767, 16811, 17743, 16715, 18295, 18355, 16604, 16391, 16426, 25113, 19948, 16674, 25128, 16450, 19948, 16462, 27757, 18350, 16604, 16442, 16415, 23965, 16402, 16406, 16444, 16392, 16397, 26777, 16828, 17605, 16813, 16397, 16604, 16391, 16442, 16415, 23965, 16400, 16399, 16444, 16392, 25750, 16647, 26343, 16673, 16901, 16689, 44037, 16471, 59283, 16672, 24910, 16410, 17073, 18519, 16396, 21806, 16763, 19287, 17032, 16604, 16400, 16404, 16401, 18331, 26075, 16397, 26713, 16395, 16796, 42672, 17605, 16813, 16397, 16604, 16391, 16442, 16415, 23965, 16401, 16405, 16444, 16392, 21627, 16655, 16919, 16689, 44037, 16471, 59283, 16674, 21575, 61922, 59283, 16671, 24910, 16767, 16641, 24734, 28474, 16815, 16604, 16399, 16397, 16401, 16408, 16671, 16604, 16399, 16397, 16403, 16399, 18331, 26605, 18331, 27114, 16445, 25296, 16400, 16445, 16410, 17135, 20113, 16604, 16401, 18331, 35518, 16672, 16647, 24910, 16395, 16986, 16763, 17363, 16604, 16408, 16402, 16674, 16604, 16406, 16404, 16388, 16673, 16647, 22163, 16395, 22358, 16397, 16582, 16582, 59018, 28875, 35318, 16723, 18339, 16769, 24536, 17065, 17910, 19318, 16604, 16391, 23010, 16964, 16392, 16672, 16944, 38419, 30547, 16809, 16647, 20189, 16674, 16647, 26335, 16673, 18865, 16604, 16391, 16434, 27075, 16604, 16442, 16415, 23965, 16405, 16399, 16444, 16392, 16397, 28842, 16396, 36399, 16773, 63091, 18379, 16647, 16604, 16442, 16459, 16444, 16474, 16397, 29702, 53657, 16476, 16396, 16656, 25590, 16673, 16673, 61922, 59283, 16396, 16396, 16396, 35891, 17663, 61922, 59283, 16604, 16391, 18732, 16437, 16392, 16397, 31277, 16437, 16704, 59531, 16809, 17203, 61681, 16673, 18821, 32113, 16674, 16704, 17405, 16671, 18123, 51705, 50401, 16397, 16772, 20632, 16704, 35052, 16815, 16647, 18370, 17181, 16647, 55002, 16395, 19294, 16741, 16647, 20432, 44734, 16397, 31277, 16437, 16704, 30213, 17845, 16671, 16641, 17785, 23614, 16674, 17073, 50493, 58928, 16395, 17226, 16397, 16452, 16397, 17661, 24648, 35891, 17663, 61922, 59283, 16674, 48855, 17663, 61922, 59283, 16604, 16393, 16429, 16393, 16396, 39998, 16395, 18375, 17097, 16715, 16604, 16443, 16411, 18331, 16404, 16388, 16673, 16647, 26043, 21627, 16604, 16391, 16427, 47167, 35318, 25175, 16604, 16442, 16415, 23965, 16403, 16405, 16444, 16392, 16397, 18916, 17255, 35052, 16395, 16647, 44734, 16704, 22204, 16671, 24910, 16395, 20293, 16674, 19453, 26669, 16674, 16671, 27710, 35673, 16604, 16391, 16435, 60998, 17605, 16813, 16397, 16604, 16442, 16415, 23965, 16405, 16401, 16444, 16392, 16397, 26777, 16828, 17605, 16813, 16397, 16604, 16391, 16442, 16415, 23965, 16400, 16399, 16444, 16392, 25750, 16721, 38419, 16769, 38767, 16815, 24910, 16809, 27260, 16673, 17378, 24116, 16674, 60170, 16397, 16772, 24585, 16673, 16647, 21057, 16673, 20685, 28875, 35318, 16723, 18339, 16672, 16647, 18805, 16807, 16804, 16992, 20519, 22130, 16395, 16850, 16873, 16769, 18365, 16671, 16703, 26227, 16671, 22372, 16604, 16391, 21324, 17077, 17605, 16813, 16397, 16604, 16442, 16415, 23965, 16401, 16404, 16444, 16392, 16397, 16582, 16582, 23097, 48855, 17663, 61922, 59283, 23654, 35142, 19575, 16647, 18155, 16674, 16704, 17405, 16671, 18123, 51705, 50401, 16395, 19029, 21099, 16809, 17073, 26227, 18865, 16868, 18222, 21595, 16767, 16647, 31395, 17743, 20124, 17032, 23308, 18118, 16397, 18196, 36183, 16647, 21958, 18813, 21099, 16809, 48832, 17080, 33576, 16395, 16647, 20987, 16673, 19831, 16807, 21882, 16709, 26227, 30951, 16397, 18523, 16395, 55289, 19029, 16672, 22372, 16843, 16703, 27024, 20124, 17032, 24707, 16395, 16785, 16647, 28387, 25909, 16672, 20282, 19134, 16674, 45394, 16397, 23466, 16395, 44734, 41712, 16671, 64698, 16642, 16763, 29054, 16672, 16811, 18077, 16734, 16647, 17231, 16673, 19749, 64710, 23925, 16672, 25921, 16395, 16944, 18379, 47489, 23239, 16397, 57499, 16642, 16704, 16641, 18545, 64933, 31008, 16604, 16391, 16427, 18347, 20450, 16674, 16778, 18802, 20434, 16604, 16442, 16415, 23965, 16403, 16404, 16444, 16392, 16395, 16674, 55289, 61067, 39236, 16672, 16728, 16843, 16703, 28015, 16671, 16647, 18308, 31446, 28990, 20485, 21617, 16397, 26367, 16395, 16728, 16763, 19193, 21270, 16741, 16641, 22825, 16673, 25201, 25792, 16674, 16641, 17730, 16396, 31024, 26147, 20282, 16604, 16391, 16431, 16724, 17115, 17605, 16813, 16397, 16604, 16442, 16415, 23965, 16404, 16402, 16444, 16392, 16397, 41112, 16811, 16395, 16728, 16704, 17889, 16671, 17967, 16647, 28603, 16673, 16811, 20282, 16671, 21958, 56750, 16397, 26713, 16395, 17009, 64710, 16958, 25722, 16672, 16811, 18077, 16944, 16955, 16804, 16992, 28152, 17329, 16395, 30807, 16395, 49106, 20962, 40665, 16604, 16391, 19788, 18017, 16861, 16723, 16972, 49802, 16954, 16395, 25436, 16954, 16392, 16395, 21559, 16673, 44465, 27312, 20969, 16604, 16391, 16433, 19445, 16392, 16672, 57331, 16460, 16674, 22036, 28565, 16674, 31390, 16397, 16582, 16582, 40904, 16674, 20625, 16604, 16474, 16386, 37256, 16401, 16476, 16582, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16582, 16582, 39863, 18057, 16674, 19134, 16673, 25541, 34418, 16604, 16474, 16386, 37256, 16402, 16476, 16582, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16582, 16582, 18621, 21110, 16673, 25197, 64698, 16642, 16604, 16391, 16393, 16427, 16825, 43513, 16685, 17406, 16730, 16393, 16790, 16397, 16392, 16395, 16759, 18436, 16649, 29079, 16668, 16395, 16958, 17405, 16672, 16647, 18077, 16397, 16772, 29556, 36100, 20092, 16715, 16604, 16406, 16395, 16604, 16408, 16674, 16604, 16400, 16401, 18331, 26075, 16709, 31097, 46240, 42850, 16439, 16426, 18317, 17709, 30904, 16604, 16391, 30802, 44318, 43926, 19376, 16397, 16395, 38335, 19703, 16749, 16604, 16391, 16422, 16682, 16392, 16395, 34076, 16392, 16397, 24464, 36100, 18057, 16395, 16647, 29556, 16958, 20293, 16396, 18484, 16724, 17845, 16809, 46645, 16661, 17007, 16672, 16604, 16400, 16388, 35981, 21830, 20928, 20602, 16943, 16715, 16604, 16401, 18331, 17784, 16410, 16647, 29556, 16958, 17177, 33694, 16672, 62958, 17969, 16715, 16604, 16402, 16396, 16396, 16403, 18331, 17784, 16397, 24123, 16395, 16604, 16408, 16399, 18331, 38632, 16673, 24910, 16763, 18973, 16671, 16647, 30904, 16674, 16873, 16958, 17177, 16651, 62356, 16734, 16604, 16401, 16406, 18331, 38632, 16673, 17969, 16604, 16391, 28420, 16392, 16785, 16604, 16401, 16406, 18331, 38632, 16673, 48855, 17663, 61922, 59283, 21241, 16767, 17476, 29879, 16604, 16391, 33680, 16396, 54676, 22837, 16392, 16409, 16604, 16399, 16397, 16399, 16400, 16395, 16604, 16399, 16397, 16399, 16404, 16395, 16604, 16399, 16397, 16400, 16395, 16604, 16399, 16397, 16404, 16395, 16604, 16400, 16395, 16604, 16400, 16397, 16404, 16395, 16604, 16401, 16674, 16604, 16401, 16397, 16404, 18331, 57679, 16604, 16391, 16456, 16397, 16452, 16397, 16604, 16399, 16397, 16406, 16395, 16604, 16402, 16397, 16404, 16395, 16604, 16406, 16395, 16604, 16402, 16404, 16395, 16604, 16406, 16399, 16395, 16604, 16400, 16399, 16404, 16395, 16604, 16400, 16403, 16399, 16395, 16604, 16400, 16406, 16404, 18331, 26605, 18331, 27114, 16445, 25296, 16400, 16445, 16673, 24910, 16392, 16397, 16772, 24910, 16763, 21900, 16734, 17887, 17392, 17028, 16397, 16604, 16400, 24052, 19420, 16709, 16944, 29556, 16958, 21568, 16397, 16772, 18783, 16701, 16765, 16763, 21996, 16891, 16715, 16604, 16406, 16395, 16604, 16408, 16674, 16604, 16400, 16401, 18331, 26075, 16767, 18392, 21452, 16397, 56323, 16674, 41946, 16673, 16647, 25541, 34418, 16958, 23975, 16734, 16647, 28072, 16425, 19349, 20052, 16397, 37455, 16674, 22269, 36223, 16958, 21487, 16397, 16582, 16582, 33519, 16673, 17250, 18017, 16861, 16723, 16972, 49802, 16954, 16604, 16474, 16386, 37256, 16403, 16476, 16582, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16582, 16582, 62347, 44793, 16958, 21789, 16709, 22161, 16397, 56323, 16395, 41946, 16674, 22485, 16604, 16391, 16404, 16399, 16399, 18331, 26605, 16392, 16673, 16647, 25541, 34418, 16944, 16955, 23475, 16715, 16604, 16406, 16395, 16604, 16408, 16674, 16604, 16400, 16401, 18331, 26075, 16672, 24910, 16734, 16667 ]
[ 0, 16396, 16396, 16396, 16582, 38841, 16409, 16604, 16475, 16582, 16696, 17071, 16811, 16985, 16395, 16742, 20746, 16647, 21348, 17873, 24291, 16671, 16647, 32699, 16396, 16417, 20406, 16396, 39421, 18460, 16945, 31952, 16672, 17970, 16671, 16969, 32218, 23160, 21241, 16397, 17119, 16868, 18314, 16709, 16991, 18321, 19140, 16715, 16944, 16604, 16387, 16460, 16443, 43698, 16686, 16387, 16395, 16674, 16742, 16868, 19646, 17213, 21241, 16672, 19246, 16673, 17119, 17478, 18152, 16913, 22072, 16397, 16582, 16582, 16696, 31956, 16409, 16822, 29014, 16415, 35329, 16397, 17286, 19161, 16397, 23927, 16397, 18178, 16582, 23718, 16409, 16604, 16390, 23226, 55473, 23160, 21241, 16673, 16738, 26286, 16396, 19064, 31952, 16809, 18238, 16673, 21348, 17873, 16390, 16582, 16396, 16396, 16396, 16582, 16582, 16513, 16636, 16397, 16908, 29014, 16443, 16582, 16442, 16393, 39770, 16673, 37012, 16395, 34265, 16673, 21209, 16395, 63983, 18059, 16395, 16604, 16399, 16405, 16400, 16399, 16399, 63983, 16395, 26547, 16393, 16444, 16474, 16476, 16582, 16582, 38194, 16582, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16582, 16582, 17071, 16811, 19420, 16395, 16742, 16868, 18328, 16647, 32699, 16396, 16417, 20406, 16396, 39421, 18460, 16604, 16391, 16417, 26286, 16392, 16604, 16442, 16415, 20379, 30584, 16444, 16945, 26832, 16604, 16391, 16387, 16417, 16391, 16460, 16395, 16461, 16392, 16387, 16392, 16734, 16641, 20519, 44379, 50270, 16802, 17902, 16673, 16647, 17510, 16604, 16387, 16387, 16468, 16446, 16474, 16467, 16476, 16394, 16468, 16446, 16474, 16471, 16476, 16394, 16448, 16443, 16395, 16391, 16468, 16445, 16460, 16392, 16446, 16471, 16396, 16391, 16468, 16445, 16461, 16392, 16446, 16474, 16471, 17048, 16476, 16412, 16399, 16395, 16604, 16443, 26293, 16443, 26293, 16669, 16395, 16443, 16395, 16461, 16413, 16400, 16395, 16443, 16395, 16443, 16395, 16460, 16604, 16443, 43698, 16582, 16461, 16443, 16395, 16604, 16397, 16443, 19974, 16474, 16400, 16397, 16402, 16476, 16387, 16387, 17170, 26832, 16704, 18655, 16671, 16647, 44379, 50270, 16802, 26832, 16604, 16387, 16426, 16391, 16460, 16395, 16461, 16392, 16387, 16395, 16604, 16387, 16387, 16468, 16446, 16474, 16467, 16476, 16394, 16391, 16468, 16445, 16460, 16392, 16446, 16471, 16394, 16391, 16468, 16445, 16461, 16392, 16446, 16474, 50184, 16476, 16412, 16399, 16395, 16604, 16443, 26293, 16443, 26293, 16669, 16413, 16399, 16395, 16443, 16395, 16400, 16411, 16461, 16443, 26057, 16402, 16604, 16443, 19974, 16474, 16400, 16397, 16401, 16476, 16387, 16387, 16944, 16872, 16992, 23954, 16672, 18686, 16809, 16739, 16397, 36108, 17795, 16674, 16832, 16397, 16428, 16397, 24108, 17392, 16604, 16442, 16415, 19846, 16652, 17795, 16444, 16397, 16875, 16647, 23824, 16986, 16769, 17259, 19831, 24233, 16734, 16647, 32218, 23160, 21241, 16673, 16647, 16604, 16387, 16426, 16391, 16460, 16395, 16461, 16392, 16387, 16674, 16604, 16387, 16417, 16391, 16460, 16395, 16461, 16392, 16387, 31952, 16395, 16850, 16672, 18723, 16873, 16769, 30014, 16671, 16647, 17843, 16604, 16387, 16460, 16412, 16461, 16387, 16604, 16442, 16415, 19846, 16652, 17795, 16410, 16604, 16415, 19846, 16652, 17795, 16400, 16410, 16604, 16415, 16470, 17317, 16470, 17317, 16410, 16604, 16415, 16470, 17317, 16470, 17317, 16400, 16410, 16604, 16415, 16470, 17317, 16470, 17317, 16401, 16410, 16604, 16415, 16470, 17317, 16470, 17317, 16402, 16410, 16604, 16415, 16470, 17317, 16470, 17317, 16404, 16410, 16604, 16415, 16467, 24172, 16410, 16604, 16415, 16459, 16823, 16468, 16410, 16604, 16415, 16470, 17317, 16470, 17317, 16403, 16410, 16604, 16415, 16472, 16705, 16882, 16410, 16604, 16415, 50219, 16410, 16604, 16415, 16458, 29014, 16444, 16397, 18196, 16604, 16387, 16460, 16443, 43698, 16686, 16387, 16395, 16647, 21241, 16673, 16604, 16387, 16426, 16391, 16460, 16395, 16461, 16392, 16387, 16958, 28020, 16672, 16604, 16442, 16415, 19846, 16652, 17795, 16410, 16604, 16415, 19846, 16652, 17795, 16400, 16444, 16397, 19736, 20199, 17348, 16704, 16994, 16671, 19514, 16715, 21241, 16673, 16647, 31952, 16604, 16387, 16417, 16391, 16460, 16395, 16461, 16392, 16387, 16395, 16734, 16604, 16387, 16460, 16443, 43698, 16686, 16387, 16395, 16809, 18238, 16673, 16647, 21348, 17873, 18197, 16397, 16582, 16582, 17507, 22475, 16721, 16811, 18197, 16604, 16442, 16415, 16463, 18353, 16400, 16410, 16604, 16415, 16463, 18353, 16410, 16604, 16415, 22113, 29934, 16410, 16604, 16415, 16463, 18353, 16401, 16444, 16395, 17014, 16728, 16704, 26524, 16395, 20634, 16671, 16969, 20206, 16674, 47454, 16641, 19609, 17280, 16673, 21241, 16395, 19739, 16734, 16977, 20625, 17405, 16672, 16647, 16738, 26286, 31952, 16397, 17544, 18185, 16395, 16647, 17815, 30804, 18197, 17405, 16809, 16719, 16397, 41657, 16604, 16442, 16415, 17151, 16468, 16444, 16843, 17097, 16703, 21627, 16671, 16647, 16604, 16387, 16417, 16391, 16401, 16395, 16400, 16392, 16387, 26832, 16397, 18523, 16395, 16647, 21348, 17873, 24291, 16843, 16703, 17405, 16671, 16922, 31952, 17032, 16647, 17815, 30804, 18197, 16674, 17027, 16395, 16672, 16991, 19140, 16395, 16728, 20067, 21691, 16671, 16922, 18723, 21241, 17032, 16647, 16648, 16856, 16396, 22287, 16856, 16674, 16647, 32412, 16455, 20625, 16604, 16442, 16415, 16470, 17317, 16470, 17317, 16403, 16410, 16604, 16415, 16472, 16705, 16882, 16410, 16604, 16415, 16470, 17317, 16470, 17317, 16405, 16444, 16397, 17170, 21348, 17873, 19474, 16671, 17393, 32218, 23160, 21241, 16673, 44379, 31952, 16872, 16992, 23447, 16671, 18848, 17970, 44379, 26874, 33868, 31952, 16604, 16391, 30096, 16743, 16466, 16392, 16809, 16759, 16396, 16434, 16397, 34528, 16674, 16751, 16397, 23888, 16604, 16442, 16415, 17151, 16444, 16397, 16582, 16582, 18811, 16742, 17158, 16715, 16647, 32218, 23160, 21241, 16673, 34511, 16397, 18331, 16391, 16443, 16442, 16400, 16397, 16402, 16443, 16444, 16392, 16395, 17092, 16742, 21033, 16647, 17510, 16673, 16647, 16604, 16387, 16417, 16391, 16460, 16395, 16461, 16392, 16387, 26832, 16671, 16641, 17711, 17970, 44379, 16830, 22370, 16674, 17177, 16395, 16742, 16843, 20629, 20746, 21348, 17873, 24291, 16397, 20195, 16395, 16742, 16868, 22921, 16604, 16387, 16460, 16604, 16443, 43698, 16686, 16387, 16395, 17608, 16647, 17843, 16604, 16387, 16460, 16604, 16412, 16686, 16387, 16872, 18022, 16992, 28152, 16672, 16641, 18722, 19090, 18211, 16811, 18197, 16604, 16442, 16415, 16458, 29014, 16444, 16397, 16582, 16582, 17635, 19420, 16704, 25095, 16741, 21983, 16397, 16875, 19648, 16604, 16401, 16742, 26551, 21348, 17873, 24291, 16715, 16641, 18321, 18383, 16673, 16647, 17711, 17970, 44379, 16830, 22370, 16743, 16466, 16397, 19488, 16395, 16742, 20746, 34742, 16697, 16647, 21348, 17873, 16671, 16647, 19359, 17711, 17970, 44379, 16830, 22370, 16671, 16969, 32218, 23160, 21241, 16673, 16604, 16387, 16417, 16391, 16460, 16395, 16461, 16392, 16387, 26832, 16672, 19648, 16604, 16402, 16397, 17119, 19646, 16647, 21241, 16715, 17213, 44379, 16830, 22370, 16743, 16466, 16674, 16647, 16604, 16387, 16417, 16391, 16460, 16395, 16461, 16392, 16387, 26832, 16672, 19246, 16673, 17119, 17478, 18152, 16913, 22072, 16672, 19648, 16604, 16403, 16397, 24229, 16395, 16672, 19648, 16604, 16404, 16742, 16868, 17188, 16991, 31347, 16397, 16582, 16582, 47165, 17873, 16673, 44379, 17711, 17970, 16830, 22370, 16743, 16466, 16582, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16582, 16582, 20201, 16907, 18328, 16395, 16647, 18211, 44379, 17711, 17970, 16830, 22370, 16604, 16387, 16387, 16443, 19974, 16474, 16408, 16476, 16582, 16604, 16443, 19873, 16474, 16451, 16445, 16401, 16762, 16476, 16474, 16451, 16604, 16443, 25232, 16445, 16401, 16476, 16396, 16443, 23839, 16604, 16443, 19873, 16474, 16451, 16762, 16476, 16474, 16451, 16604, 16443, 25232, 16476, 16394, 16421, 16391, 16438, 16392, 16412, 16399, 16387, 16387, 17187, 16604, 16387, 16443, 23839, 16387, 16704, 22551, 16674, 16604, 16387, 16421, 16391, 16438, 16392, 16387, 16704, 16667, 34820, 17917, 16673, 16604, 16387, 16438, 16387, 16397, 16772, 21348, 17521, 17510, 16673, 16811, 26832, 16843, 16703, 19517, 16741, 16604, 16387, 16387, 16443, 19974, 16474, 16400, 16399, 16476, 16582, 16443, 19911, 16442, 16443, 19873, 16474, 16451, 16476, 16474, 16451, 16604, 16443, 25232, 16476, 16396, 16453, 16446, 16401, 16391, 16438, 16395, 16443, 25232, 16392, 16443, 18357, 16444, 16443, 19911, 16442, 16443, 19873, 16474, 16451, 16476, 16474, 16451, 16582, 16443, 25232, 16476, 16396, 16453, 16446, 16400, 16391, 16438, 16395, 16443, 25232, 16392, 16443, 18357, 16444, 16762, 16391, 16443, 25232, 16392, 16412, 16399, 16443, 16395, 16397, 16387, 16387, 20195, 16395, 16604, 16387, 16453, 16446, 16400, 16387, 16674, 16604, 16387, 16453, 16446, 16401, 16387, 16769, 24472, 22072, 16721, 17123, 21257, 32196, 16709, 16604, 16387, 16438, 16387, 16674, 16604, 16387, 16443, 25232, 16387, 16397, 26679, 42450, 16604, 16391, 16443, 16442, 16400, 16399, 16443, 16444, 16392, 16674, 30163, 16734, 16604, 16391, 16443, 16442, 16408, 16443, 16444, 16392, 16395, 16742, 19646, 16647, 18211, 34133, 19527, 16604, 16387, 16387, 16443, 19974, 16474, 16400, 16401, 16476, 16582, 16453, 16446, 16400, 16453, 16446, 16401, 16412, 16443, 19873, 16474, 16421, 16391, 16438, 16392, 16476, 16474, 16438, 16476, 16394, 16443, 19873, 16474, 16443, 25000, 16662, 16446, 16400, 16476, 16474, 16443, 25000, 16604, 16443, 25232, 16476, 16395, 16604, 16443, 40470, 16582, 16453, 16446, 16401, 16394, 16443, 19873, 16474, 16443, 25000, 16391, 16438, 16662, 16446, 16400, 16392, 16476, 16474, 16443, 25000, 16762, 16476, 16412, 16443, 23839, 16397, 16387, 16387, 17426, 16742, 24651, 16604, 16391, 16443, 16442, 16400, 16401, 16443, 16444, 16392, 16715, 16604, 16387, 16453, 16446, 16474, 16400, 16476, 16387, 16785, 16604, 16387, 16453, 16446, 16474, 16401, 16476, 16387, 16395, 16728, 16868, 21268, 16907, 16671, 19666, 16641, 32968, 17092, 17970, 16830, 22370, 16604, 16387, 16387, 16443, 19974, 16474, 16400, 16403, 16476, 16582, 16443, 19911, 16442, 16443, 19873, 16474, 16451, 16476, 16474, 16451, 16604, 16443, 25232, 16476, 16396, 16453, 16446, 16400, 16391, 16438, 16395, 16443, 25232, 16392, 16443, 18357, 16444, 16762, 16391, 16443, 25232, 16392, 16412, 16399, 16387, 16387, 16721, 19522, 16641, 20075, 16715, 16647, 44379, 16830, 22370, 16604, 16391, 16443, 16442, 16408, 16443, 16444, 16392, 16604, 16442, 16415, 16463, 18353, 16400, 16410, 16604, 16415, 16463, 18353, 16410, 16604, 16415, 22113, 29934, 16410, 16604, 16415, 16463, 18353, 16401, 16444, 16397, 16875, 16647, 21003, 16673, 16811, 19420, 16604, 16387, 16453, 16446, 16474, 16400, 16476, 16387, 16674, 16604, 16387, 16453, 16446, 16474, 16401, 16476, 16387, 16868, 21257, 17097, 16709, 16604, 16387, 16438, 16387, 16397, 16582, 16582, 47165, 17873, 16673, 16647, 16738, 26286, 16396, 19064, 31952, 16604, 16582, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16582, 16582, 18811, 34511, 16397, 16604, 16391, 16443, 16442, 16400, 16397, 16402, 16443, 16444, 16392, 16872, 16647, 32218, 23160, 21241, 16672, 16647, 17510, 16604, 16387, 16387, 16443, 19974, 16474, 16400, 16404, 16476, 16582, 16468, 16391, 16471, 16395, 16467, 16392, 16412, 16443, 22853, 16391, 16443, 21390, 16392, 16395, 16443, 26293, 16443, 26293, 16604, 16443, 21390, 16412, 16455, 16471, 16394, 42629, 16387, 16387, 17187, 16604, 16387, 16455, 16387, 16674, 16604, 16387, 16470, 16387, 16769, 17446, 46014, 16395, 27068, 24345, 16604, 16391, 16443, 16442, 16400, 16404, 16443, 16444, 16392, 17065, 16604, 16391, 16443, 16442, 16400, 16397, 16402, 16443, 16444, 16392, 16674, 17135, 42316, 16395, 16742, 16969, 16647, 21999, 17510, 16673, 34511, 16397, 16604, 16391, 16443, 16442, 16400, 16397, 16402, 16443, 16444, 16392, 16671, 16647, 17711, 17970, 44379, 16830, 22370, 16604, 16387, 16387, 16443, 19974, 16474, 16400, 16405, 16476, 16582, 16391, 16443, 22853, 16445, 16461, 16392, 16446, 16474, 16443, 21390, 16443, 21390, 16476, 16396, 16416, 16443, 16395, 16443, 22853, 16396, 16417, 16443, 16395, 16443, 22853, 16445, 16460, 16394, 16419, 16412, 16399, 16443, 16395, 16397, 16387, 16387, 34896, 16721, 16647, 46014, 16672, 34511, 16397, 16604, 16391, 16443, 16442, 16400, 16405, 16443, 16444, 16392, 16769, 16604, 16387, 16387, 16443, 19974, 16474, 16400, 16406, 16476, 16582, 16416, 16412, 16443, 19873, 16474, 16455, 16394, 16470, 16476, 16474, 16455, 16445, 16401, 16443, 16395, 16470, 16476, 16395, 16443, 26293, 16443, 26293, 16738, 16412, 16443, 19873, 16474, 16448, 16476, 16474, 16455, 16443, 16395, 16470, 16476, 16395, 16443, 26293, 16443, 26293, 16582, 16419, 16412, 16443, 19873, 16474, 16433, 16476, 16474, 16455, 16445, 16401, 16443, 16395, 16470, 16476, 16387, 16387, 16674, 16604, 16387, 16433, 16387, 16704, 16667, 26641, 22551, 16397, 19360, 16395, 16980, 16742, 26551, 16647, 18211, 19588, 27026, 16673, 16647, 27158, 24579, 16604, 16387, 16387, 16443, 19974, 16474, 16400, 16407, 16476, 16582, 16443, 22853, 16445, 16461, 16391, 16443, 21390, 16392, 16412, 16438, 16391, 16443, 25232, 16392, 16395, 16443, 26293, 16443, 26293, 16443, 21390, 16412, 16443, 25232, 16387, 16387, 34511, 16397, 18331, 16391, 16443, 16442, 16400, 16405, 16443, 16444, 16392, 21083, 16604, 16387, 16387, 16443, 19974, 16474, 16400, 16408, 16476, 16582, 16443, 19873, 16474, 16451, 16445, 16401, 16762, 16476, 16474, 16451, 16604, 16443, 25232, 16445, 16401, 16476, 16396, 16416, 16443, 16395, 16438, 16445, 16474, 16443, 19873, 16474, 16400, 16476, 16474, 16461, 16476, 16476, 16396, 16417, 16443, 16395, 16438, 16445, 16474, 16443, 19873, 16474, 16460, 16476, 16474, 16461, 16476, 16476, 16394, 16419, 16412, 16399, 16397, 16387, 16387, 19360, 16395, 16742, 16843, 20746, 16647, 21348, 17873, 24291, 16671, 34511, 16397, 18331, 16391, 16443, 16442, 16400, 16408, 16443, 16444, 16392, 16397, 34169, 16661, 34511, 16397, 18331, 16391, 16443, 16442, 16408, 16443 ]
[ 0, 22471, 19367, 16582, 16582, 16400, 16397, 16582, 50039, 65123, 16582, 16853, 24488, 41228, 16931, 16582, 39461, 39590, 16582, 22944, 22790, 16582, 16582, 16401, 16397, 16582, 17071, 17598, 16395, 20005, 22144, 16769, 28282, 17014, 17047, 17967, 16674, 16582, 47341, 17598, 25022, 16397, 20193, 17005, 16667, 28703, 25268, 16785, 39064, 16641, 17598, 16582, 26173, 16395, 25471, 17499, 16641, 20992, 16734, 16641, 17459, 52642, 16395, 16785, 53772, 16641, 17598, 24408, 16785, 23423, 16395, 16873, 16582, 25967, 32686, 17940, 16647, 50076, 16674, 51058, 16721, 64044, 30473, 20992, 16582, 26280, 16674, 17869, 21640, 16397, 16875, 18120, 16743, 16466, 16922, 27211, 17598, 55540, 16395, 16721, 21041, 16582, 58706, 16704, 20283, 34390, 16815, 16647, 21667, 16397, 20646, 25022, 16674, 17605, 55074, 16582, 16656, 17027, 16641, 25093, 16715, 20470, 21625, 16914, 21640, 19056, 16397, 16999, 18199, 16667, 16582, 16706, 28498, 16674, 40246, 19777, 16672, 17072, 16667, 18403, 16704, 29672, 16674, 16672, 16914, 16582, 27066, 22607, 16672, 17598, 16674, 18237, 24375, 16397, 16582, 16420, 27049, 60658, 17023, 16582, 16401, 16582, 62280, 39339, 16582, 39871, 16415, 61895, 40695, 16698, 17162, 16397, 17070, 16582, 16407, 16399, 16400, 16397, 16404, 16407, 16400, 16397, 16399, 16402, 16405, 16408, 16582, 16582, 16402, 16397, 16582, 18105, 16704, 20646, 65123, 16414, 16582, 16416, 21197, 17598, 21057, 16794, 24384, 17362, 16396, 22744, 51058, 16672, 58288, 16395, 45710, 16395, 16582, 33845, 16395, 16674, 37070, 20043, 16741, 17204, 16741, 38867, 22926, 16395, 21640, 16395, 16674, 18741, 16582, 26342, 16672, 16641, 17598, 19064, 22305, 16397, 16711, 21197, 17598, 21057, 35022, 17129, 16709, 16647, 17975, 16722, 18110, 16582, 22744, 16409, 16604, 16385, 16424, 17045, 29249, 16410, 16687, 16807, 24029, 16410, 16687, 17045, 22515, 17282, 16410, 16687, 16843, 16703, 55928, 16395, 20283, 16582, 17392, 19977, 16674, 32178, 16977, 17047, 16410, 16674, 16687, 17045, 23557, 16673, 26711, 16998, 17598, 16582, 59592, 18450, 16395, 17789, 23201, 16674, 27164, 29100, 16397, 16385, 16582, 35373, 16647, 22539, 16673, 17598, 21057, 16395, 16674, 18212, 17072, 16671, 17231, 17007, 16671, 16912, 16582, 30214, 16898, 16409, 16582, 19631, 21388, 16948, 16604, 16396, 16858, 22797, 16673, 16912, 26702, 45615, 16395, 17789, 36284, 17274, 16741, 16582, 17258, 22422, 16395, 36961, 16395, 20697, 16396, 21023, 32841, 16395, 19104, 16397, 16582, 19631, 44669, 16604, 16396, 20086, 16395, 20241, 16395, 20249, 16395, 20570, 16582, 19631, 16796, 19167, 16661, 16604, 16396, 20562, 19791, 40903, 16395, 16674, 18741, 24595, 16395, 17789, 45025, 18213, 16582, 16893, 16674, 22661, 16582, 19631, 19861, 16865, 16604, 16396, 22926, 16672, 16647, 17210, 16732, 18262, 19486, 16582, 19631, 19463, 16452, 34798, 16604, 16396, 22305, 22747, 16395, 16674, 18370, 19762, 16582, 19631, 20646, 26090, 18044, 16604, 16396, 28124, 16741, 21695, 34421, 16395, 37251, 16395, 19000, 21194, 16395, 19104, 16397, 16582, 19631, 33408, 39590, 16604, 16396, 33361, 18093, 16395, 20697, 19047, 16395, 16674, 20176, 23787, 16582, 19631, 32253, 55074, 39590, 16604, 16396, 16647, 17262, 17459, 52642, 16395, 17598, 34670, 16395, 16674, 19124, 16659, 16817, 16582, 16420, 27049, 60658, 17023, 16582, 16402, 16582, 62280, 39339, 16582, 39871, 16415, 61895, 40695, 16698, 17162, 16397, 17070, 16582, 16407, 16399, 16400, 16397, 16404, 16407, 16400, 16397, 16399, 16402, 16405, 16408, 16582, 16582, 16403, 16397, 16582, 22397, 25803, 58181, 16582, 20323, 48009, 16604, 16394, 52744, 16604, 16394, 21388, 20161, 16582, 18811, 18148, 26894, 16732, 16715, 16647, 17092, 17005, 16395, 16873, 16868, 17190, 16903, 16671, 37144, 16582, 16913, 16768, 23007, 16931, 16912, 18741, 16785, 20005, 17417, 16397, 18708, 31542, 16769, 16582, 27410, 19535, 16604, 17064, 17989, 17567, 16671, 20575, 22683, 16397, 23706, 16785, 18909, 16395, 19889, 16785, 30740, 16395, 16582, 28974, 23419, 16395, 21330, 16395, 16674, 25621, 24643, 24528, 35456, 16604, 17064, 16582, 16979, 28659, 23013, 16741, 18159, 17714, 16998, 17446, 23255, 16397, 16582, 42432, 16604, 16477, 17170, 30435, 16704, 23971, 18138, 16709, 19902, 22797, 16397, 23734, 17811, 16732, 17839, 16582, 17676, 17821, 16671, 16912, 23419, 16397, 16582, 28752, 16673, 21053, 16604, 16477, 21053, 16843, 20430, 16671, 46105, 19461, 16741, 17204, 16741, 16582, 24521, 16697, 23659, 16397, 18501, 48009, 16395, 18865, 16604, 16389, 25621, 16604, 17064, 16868, 24906, 19291, 16811, 16582, 16913, 43964, 16397, 16582, 16428, 23417, 36165, 16604, 16477, 17170, 30435, 16704, 18138, 16709, 18515, 16732, 17913, 16667, 16582, 20876, 21412, 16673, 17016, 16704, 46430, 16674, 35845, 17262, 16785, 18909, 16397, 16582, 16427, 17442, 18038, 16604, 16477, 19459, 21330, 16395, 20278, 17975, 16722, 18110, 18370, 19762, 16395, 16843, 26222, 16582, 18245, 16892, 16811, 30435, 16397, 16711, 24322, 24394, 16395, 65435, 16395, 18139, 31541, 16674, 17203, 23787, 16582, 21682, 17283, 16843, 20755, 16811, 30435, 16671, 16647, 19508, 18194, 16397, 16582, 29458, 16672, 20433, 16604, 16477, 19525, 16647, 17567, 16743, 16466, 16711, 16743, 16466, 16395, 25621, 16704, 16647, 17154, 23651, 17348, 16395, 16582, 26165, 16732, 22929, 16647, 23231, 19083, 20903, 16671, 16794, 18434, 22926, 16674, 16641, 16582, 37230, 25621, 16414, 31039, 19762, 16704, 17889, 16604, 17064, 18623, 48535, 16395, 18262, 30595, 17141, 16395, 16582, 16770, 17190, 21748, 20697, 19047, 16397, 16582, 17071, 18864, 16604, 16477, 17170, 30435, 18143, 16691, 42202, 17141, 16671, 23419, 16395, 16917, 16721, 16732, 16843, 16582, 44559, 19988, 16397, 16582, 28752, 16673, 30672, 16604, 16477, 17376, 16742, 20986, 20124, 16395, 25621, 16704, 57296, 16397, 16582, 18679, 16604, 16389, 26712, 16673, 18246, 16604, 16477, 17170, 16704, 16667, 24461, 16917, 16674, 16917, 16687, 16807, 17579, 27290, 16891, 16397, 16582, 21285, 17541, 38396, 16604, 16477, 19814, 16728, 16704, 16804, 21286, 16671, 17704, 17047, 18143, 22921, 16721, 16582, 54026, 17047, 16769, 16922, 24797, 16397, 16582, 28752, 16673, 24806, 18346, 16604, 16477, 17170, 30435, 16704, 18138, 16709, 16912, 25621, 16395, 18019, 16395, 16582, 16770, 18171, 16396, 56735, 16395, 16944, 16672, 17762, 16704, 22499, 16809, 16912, 23419, 16604, 16406, 21330, 16582, 42067, 28072, 16604, 16477, 29132, 17445, 18001, 16769, 16647, 17766, 16397, 16772, 17210, 16732, 17875, 16582, 28974, 17224, 16704, 29674, 17072, 18208, 39962, 16647, 17766, 16732, 16985, 16715, 16397, 16582, 16420, 27049, 60658, 17023, 16582, 16403, 16582, 62280, 39339, 16582, 39871, 16415, 61895, 40695, 16698, 17162, 16397, 17070, 16582, 16407, 16399, 16400, 16397, 16404, 16407, 16400, 16397, 16399, 16402, 16405, 16408, 16582, 16582, 16404, 16397, 16582, 31292, 29711, 22680, 17220, 16582, 31292, 19762, 16704, 16647, 18494, 17154, 17889, 18238, 16742, 16807, 16673, 18119, 17038, 17411, 16582, 16861, 17591, 16397, 20956, 16604, 16404, 16399, 16388, 16673, 17038, 21318, 16704, 29269, 17181, 17038, 45710, 16582, 16770, 47833, 16397, 31039, 19762, 16843, 17188, 16671, 16785, 59736, 16815, 16912, 20005, 16582, 24481, 16397, 16582, 19569, 16865, 16582, 23913, 45710, 16395, 18515, 22096, 16785, 22303, 16395, 25268, 16641, 23470, 19521, 16397, 16582, 19631, 22850, 16674, 17920, 16903, 20471, 16582, 19631, 23797, 16903, 16582, 19631, 24780, 16756, 17141, 16582, 19631, 20736, 16688, 22415, 16709, 16647, 19453, 22051, 26050, 25597, 22170, 16582, 19631, 44514, 17208, 16703, 23633, 16767, 16912, 18194, 16582, 40525, 16582, 18811, 26495, 16641, 18392, 16395, 18623, 16672, 16734, 22926, 16674, 20380, 16397, 23778, 17852, 17203, 16582, 21428, 16865, 16397, 26398, 16732, 17693, 16903, 16674, 16912, 19464, 17021, 16647, 21100, 16397, 16790, 18529, 16912, 20510, 16903, 16395, 19825, 16582, 28708, 23478, 17007, 18184, 16647, 19453, 16397, 26398, 16912, 22760, 16767, 16912, 18194, 16395, 16641, 19407, 18994, 28010, 16582, 21484, 24936, 16912, 52582, 16397, 16711, 34035, 18352, 20380, 17282, 18623, 64044, 17362, 18171, 16396, 16582, 46999, 16674, 50990, 16925, 22926, 16397, 16582, 16422, 16765, 17342, 16582, 19089, 21582, 16673, 16912, 47833, 16767, 16858, 18032, 16397, 18196, 22538, 16734, 18208, 16395, 17190, 18244, 16582, 28974, 47833, 24187, 16912, 19906, 16674, 17121, 16743, 16467, 59736, 16815, 16728, 16397, 55865, 17342, 17208, 16582, 17100, 17671, 16674, 24322, 16397, 42218, 18045, 18248, 16721, 16704, 17395, 16671, 59736, 16815, 16912, 16582, 47352, 17502, 16674, 16647, 19906, 16732, 16769, 18387, 16671, 30140, 16397, 16582, 48835, 31228, 16582, 48835, 19047, 16704, 31261, 19956, 16674, 34115, 53985, 16734, 18208, 16397, 29445, 17047, 16672, 16582, 17347, 20697, 27598, 17007, 17039, 16732, 16769, 20309, 16672, 17016, 16704, 22491, 16395, 16732, 16769, 16582, 31098, 22511, 16395, 16732, 16769, 18171, 16396, 25974, 17200, 16674, 16641, 20005, 16397, 42218, 16661, 20697, 19047, 18199, 16582, 31736, 18360, 16732, 19744, 22926, 16395, 16769, 27371, 16674, 32096, 16463, 17545, 16395, 16674, 22085, 16673, 16858, 16582, 22225, 17699, 16804, 16703, 19956, 30208, 16397, 16582, 17409, 16704, 23925, 16721, 16732, 19834, 20697, 19047, 22051, 16604, 16408, 16404, 16388, 16673, 16647, 17005, 16582, 26760, 16732, 16769, 24761, 16672, 16641, 16917, 16396, 16645, 16396, 16877, 22094, 16395, 16674, 16903, 16671, 16604, 16404, 16399, 16388, 16673, 16647, 17005, 16582, 26760, 16672, 16641, 17585, 20989, 16397, 16582, 16420, 27049, 60658, 17023, 16582, 16404, 16582, 62280, 39339, 16582, 39871, 16415, 61895, 40695, 16698, 17162, 16397, 17070, 16582, 16407, 16399, 16400, 16397, 16404, 16407, 16400, 16397, 16399, 16402, 16405, 16408, 16582, 16582, 16405, 16397, 16582, 40434, 17127, 28738, 16942, 16582, 23002, 18492, 19933, 16641, 18361, 20753, 22753, 16673, 17624, 16395, 16804, 16994, 16912, 18702, 16674, 28925, 16397, 16582, 23002, 33166, 16395, 16785, 19702, 19744, 16673, 16395, 17882, 17915, 16912, 19377, 61549, 33267, 16397, 16582, 21184, 33166, 17123, 17190, 16732, 18560, 20633, 17527, 16697, 16395, 25723, 16395, 16785, 16952, 58524, 16397, 16711, 16582, 57833, 34585, 24394, 16709, 16647, 16977, 17459, 16395, 20634, 16732, 16671, 18560, 24322, 16395, 17671, 16395, 16674, 16582, 37999, 16959, 16925, 16395, 16674, 17123, 16703, 16917, 16673, 16912, 17514, 36284, 16397, 16582, 22944, 52642, 16582, 43537, 35466, 31877, 19531, 17014, 19547, 16785, 21413, 18148, 16715, 16647, 16582, 24152, 17005, 16395, 16785, 17014, 57694, 16661, 16734, 16641, 17418, 16397, 17008, 21286, 17459, 52642, 16704, 16582, 39130, 17262, 19531, 17097, 16604, 16391, 41047, 16912, 17262, 17459, 16704, 29183, 16392, 16395, 20247, 16396, 16928, 16396, 24225, 16582, 40882, 16734, 27640, 54214, 16395, 16674, 17534, 18201, 16671, 16804, 27795, 16647, 16977, 17418, 16743, 16466, 16582, 29639, 64603, 16397, 16711, 20312, 34866, 16721, 40314, 17301, 18010, 16715, 17142, 16671, 18514, 26253, 43549, 16704, 16582, 47944, 16397, 16582, 22461, 17459, 52642, 17208, 18322, 16815, 16641, 22303, 18583, 16395, 31286, 16741, 17204, 16741, 18102, 16397, 16582, 18377, 16704, 17028, 23324, 31817, 16672, 17598, 18120, 16397, 16772, 17745, 19410, 16741, 21983, 16409, 16582, 39154, 16912, 17262, 17459, 16395, 40818, 20697, 19047, 16395, 17335, 16667, 39172, 44377, 16395, 23668, 16674, 16582, 25339, 16697, 17731, 16912, 17092, 16674, 17367, 17830, 16395, 16674, 16703, 17811, 16671, 24394, 16397, 16582, 16853, 17459, 17258, 17487, 16732, 17208, 19825, 16409, 16582, 19631, 16772, 65066, 16395, 19357, 22189, 17459, 52642, 16582, 19631, 16772, 20639, 16396, 36236, 17459, 52642, 16395, 18143, 18047, 16647, 33265, 16785, 52480, 16582, 20739, 52642, 16582, 19631, 16772, 25584, 16396, 25907, 16730, 16761, 17459, 52642, 16582, 19631, 16772, 21306, 16395, 51476, 18103, 17459, 52642, 16582, 31671, 48804, 16409, 25537, 24960, 16840, 16582, 16555, 16607, 16490, 32479, 17617, 16912, 17830, 44152, 16709, 16912, 17262, 26050, 17187, 16728, 16843, 16703, 32035, 16582, 33804, 16397, 16772, 43115, 16688, 16750, 16743, 16466, 20380, 16704, 16671, 40891, 16912, 17830, 16397, 18196, 16732, 18053, 16582, 62561, 16674, 31877, 19531, 16395, 16914, 35669, 16868, 25103, 17482, 16912, 17262, 20775, 16582, 16825, 16671, 16912, 26050, 16674, 17177, 16671, 16912, 18492, 16397, 26582, 16912, 43115, 16688, 16750, 17362, 18010, 16582, 16645, 16912, 17262, 26050, 16671, 16703, 20283, 17134, 16397, 16582, 16420, 27049, 60658, 17023, 16582, 16405, 16582, 62280, 39339, 16582, 39871, 16415, 61895, 40695, 16698, 17162, 16397, 17070, 16582, 16407, 16399, 16400, 16397, 16404, 16407, 16400, 16397, 16399, 16402, 16405, 16408, 16582, 16582, 16406, 16397, 16582, 21643, 18947, 17444, 16582, 18377, 16769, 17142, 24146, 16673, 19437, 17444, 16409, 18171, 16396, 16974, 18947, 17444, 16674, 17567, 16396, 30158, 19437, 17444, 16397, 16582, 18811, 16829, 16732, 26551, 19486, 16414, 18196, 16732, 24238, 18148, 16674, 16733, 16785, 17049, 17930, 16743, 16467, 24238, 16582, 22225, 16395, 25635, 16732, 16743, 16644, 40160, 17718, 16671, 18148, 16732, 17121, 16743, 16467, 17039, 16395, 17014, 16647, 19437, 17987, 17930, 16743, 16467, 16582, 55441, 16912, 17830, 16674, 17014, 16732, 16743, 16644, 16647, 17746, 16673, 16641, 17746, 16397, 24182, 16806, 16912, 17459, 16395, 18930, 16912, 17092, 16582, 16770, 17367, 20737, 16674, 18634, 17536, 16931, 19486, 16785, 16647, 18094, 16732, 16743, 16644, 27088, 16397, 16582, 45744, 16409, 16875, 16641, 18171, 16396, 16974, 27929, 16395, 17579, 17882, 19486, 16667, 23456, 17157, 17274, 16741, 18667, 16397, 16395, 25485, 16397, 16395, 18958, 16397, 16395, 19104, 16397, 16582, 17071, 16641, 17567, 16396, 23148, 25651, 16395, 16912, 18814, 16704, 16671, 26551, 17142, 17047, 16671, 17492, 16977, 16397, 16875, 16641, 17598, 16785, 16582, 33971, 16398, 34548, 19580, 16395, 16917, 17724, 17391, 17065, 25381, 16647, 21410, 16673, 16647, 17047, 19423, 16672, 16582, 19434, 16671, 17299, 21286, 16774, 18163, 16397, 41350, 17335, 17092, 16647, 17830, 16673, 16647, 17418, 16929, 17208, 16703, 16582, 17258, 17056, 16647, 22708, 18577, 16397, 17294, 19210, 16395, 23324, 17930, 16743, 16467, 17410, 16672, 16647, 17598, 17394, 16410, 25022, 16582, 16656, 18138, 19028, 21410, 16397, 26477, 20552, 16891, 31381, 29102, 20552, 16395, 20045, 16785, 21350, 16891, 31381, 16582, 32077, 23142, 16604, 16391, 28018, 16647, 22197 ]
[ 0, 16391, 16425, 18235, 26123, 17376, 61892, 16397, 16604, 16401, 16399, 16400, 16406, 16410, 16405, 16409, 16452, 16399, 16399, 16406, 16399, 16401, 16405, 62816, 16409, 16604, 16400, 16399, 16397, 16400, 16400, 16405, 16400, 16398, 48461, 23328, 16397, 16400, 16400, 16406, 16397, 16399, 16399, 16406, 16399, 16401, 16405, 16397, 16392, 16401, 16408, 16399, 16403, 16401, 16403, 16401, 16401, 16582, 16582, 59523, 54946, 18105, 17602, 17360, 16414, 17071, 16811, 17975, 32849, 17521, 16395, 48693, 16395, 55388, 18077, 16673, 18873, 38835, 34947, 16941, 49805, 17873, 22595, 16604, 16391, 23965, 16435, 16392, 16734, 30809, 22534, 19992, 16604, 16391, 22914, 19240, 16392, 16674, 17975, 27175, 22914, 19240, 17939, 59489, 22277, 16395, 46757, 16671, 16660, 16821, 16682, 38456, 16395, 18494, 27175, 26852, 17939, 59489, 51622, 16395, 42037, 19240, 16763, 19970, 16734, 16641, 19251, 18804, 30174, 16395, 34947, 30174, 16395, 16674, 18544, 22155, 60411, 16397, 21970, 20431, 16958, 21852, 17135, 17490, 25703, 16435, 27175, 18280, 20180, 49137, 16674, 25703, 16435, 27175, 16463, 21526, 16395, 17135, 34180, 16715, 18544, 22155, 17605, 27842, 16397, 17506, 27175, 19595, 27587, 16715, 17939, 59489, 42609, 16785, 17211, 16826, 16675, 31225, 36602, 16395, 16944, 16958, 19251, 16734, 42037, 19240, 16395, 16958, 19970, 16734, 21312, 25178, 16397, 18105, 19898, 16647, 31635, 56379, 20271, 16414, 16853, 58280, 17607, 25178, 17135, 25703, 16435, 21852, 16734, 42037, 19240, 24414, 16914, 17036, 52071, 17231, 17030, 17975, 27175, 22914, 19240, 16672, 21903, 19545, 16397, 16853, 20192, 20431, 16673, 25703, 16435, 27175, 18280, 20180, 49137, 17030, 25703, 16435, 27175, 16463, 21526, 21384, 18613, 25416, 16672, 16647, 42037, 19240, 22623, 16397, 16582, 16582, 38194, 16604, 16474, 16386, 37094, 16402, 16401, 16404, 16407, 16406, 16396, 19810, 16396, 16399, 16399, 16399, 16407, 16476, 16582, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16582, 16582, 32991, 24697, 16941, 49805, 17873, 22595, 16604, 16391, 23965, 16435, 16392, 16395, 16734, 25703, 16435, 27175, 18280, 20180, 49137, 16604, 16391, 23965, 16435, 27175, 16419, 16392, 16785, 17714, 16604, 16391, 23965, 16435, 27175, 16463, 21526, 16604, 16443, 16442, 23965, 16435, 27175, 16431, 16443, 16444, 16392, 17358, 20180, 49137, 16395, 16704, 16641, 19749, 19165, 16715, 21578, 18873, 16734, 18544, 22155, 16604, 16391, 46123, 16392, 16734, 22660, 17939, 59489, 16604, 16391, 41644, 16392, 36002, 16674, 16641, 19609, 17695, 23610, 19680, 16397, 16442, 16400, 16444, 16391, 16386, 37094, 16402, 16401, 16404, 16407, 16406, 16396, 54690, 16396, 16399, 16399, 16399, 16400, 16392, 16474, 18452, 16396, 18926, 16412, 16385, 18452, 16385, 16476, 21123, 16647, 17092, 17333, 53042, 25703, 16435, 36001, 16964, 16958, 36216, 16672, 16647, 16604, 16400, 16408, 16408, 16399, 16466, 16395, 16442, 16401, 16444, 16391, 16386, 37094, 16402, 16401, 16404, 16407, 16406, 16396, 54690, 16396, 16399, 16399, 16399, 16401, 16392, 16474, 18452, 16396, 18926, 16412, 16385, 18452, 16385, 16476, 16395, 16604, 16442, 16402, 16444, 16391, 16386, 37094, 16402, 16401, 16404, 16407, 16406, 16396, 54690, 16396, 16399, 16399, 16399, 16402, 16392, 16474, 18452, 16396, 18926, 16412, 16385, 18452, 16385, 16476, 27111, 16672, 22667, 47799, 16674, 52989, 17474, 17802, 16395, 16741, 17204, 16741, 63937, 22658, 17655, 23193, 55195, 16472, 16674, 19596, 18191, 16395, 16807, 20683, 16671, 19077, 63937, 18141, 16397, 26105, 23997, 18493, 16647, 21532, 17363, 31867, 16767, 63937, 16674, 39545, 16704, 30808, 28052, 52989, 51622, 57480, 17714, 17211, 16826, 16675, 31225, 36602, 16604, 16391, 16431, 22333, 16392, 16397, 16442, 16403, 16444, 16391, 16386, 37094, 16402, 16401, 16404, 16407, 16406, 16396, 54690, 16396, 16399, 16399, 16399, 16403, 16392, 16474, 18452, 16396, 18926, 16412, 16385, 18452, 16385, 16476, 17267, 53726, 16673, 16647, 52989, 17474, 23693, 25231, 16741, 16641, 17539, 16673, 52989, 17474, 42609, 16944, 16395, 16672, 19831, 17655, 16819, 16919, 19992, 16674, 48231, 22277, 16395, 25231, 16922, 23976, 17032, 16734, 16767, 20428, 16785, 17262, 59489, 22277, 16397, 16442, 16404, 16444, 16391, 16386, 37094, 16402, 16401, 16404, 16407, 16406, 16396, 54690, 16396, 16399, 16399, 16399, 16404, 16392, 16474, 18452, 16396, 18926, 16412, 16385, 18452, 16385, 16476, 16395, 16604, 16442, 16405, 16444, 16391, 16386, 37094, 16402, 16401, 16404, 16407, 16406, 16396, 54690, 16396, 16399, 16399, 16399, 16405, 16392, 16474, 18452, 16396, 18926, 16412, 16385, 18452, 16385, 16476, 16395, 16604, 16442, 16406, 16444, 16391, 16386, 37094, 16402, 16401, 16404, 16407, 16406, 16396, 54690, 16396, 16399, 16399, 16399, 16406, 16392, 16474, 18452, 16396, 18926, 16412, 16385, 18452, 16385, 16476, 16395, 16604, 16442, 16407, 16444, 16391, 16386, 37094, 16402, 16401, 16404, 16407, 16406, 16396, 54690, 16396, 16399, 16399, 16399, 16407, 16392, 16474, 18452, 16396, 18926, 16412, 16385, 18452, 16385, 16476, 16395, 16604, 16442, 16408, 16444, 16391, 16386, 37094, 16402, 16401, 16404, 16407, 16406, 16396, 54690, 16396, 16399, 16399, 16399, 16408, 16392, 16474, 18452, 16396, 18926, 16412, 16385, 18452, 16385, 16476, 16582, 16582, 23097, 16914, 21529, 16672, 16604, 16401, 16399, 16400, 16399, 16395, 30809, 22534, 19992, 52989, 22277, 16604, 16391, 22914, 19240, 16392, 16807, 16992, 19570, 16809, 20622, 16657, 17500, 16741, 16641, 16604, 16385, 24641, 27175, 16717, 19386, 16395, 16385, 17199, 17329, 28456, 21903, 19591, 29059, 16672, 16914, 19206, 16397, 38628, 17194, 19831, 16674, 16641, 42983, 16395, 24389, 21459, 16442, 16400, 16399, 16444, 16391, 16386, 37094, 16402, 16401, 16404, 16407, 16406, 16396, 54690, 16396, 16399, 16399, 16400, 16399, 16392, 16474, 18452, 16396, 18926, 16412, 16385, 18452, 16385, 16476, 16807, 17608, 19628, 16721, 42037, 19240, 16704, 19970, 16734, 18846, 36001, 18141, 20627, 16674, 19251, 20627, 16673, 16691, 27175, 19595, 27587, 16715, 52989, 17474, 42609, 16785, 16739, 22333, 16397, 16442, 16400, 16400, 16444, 16391, 16386, 37094, 16402, 16401, 16404, 16407, 16406, 16396, 54690, 16396, 16399, 16399, 16400, 16400, 16392, 16474, 18452, 16396, 18926, 16412, 16385, 18452, 16385, 16476, 16395, 16604, 16442, 16400, 16401, 16444, 16391, 16386, 37094, 16402, 16401, 16404, 16407, 16406, 16396, 54690, 16396, 16399, 16399, 16400, 16401, 16392, 16474, 18452, 16396, 18926, 16412, 16385, 18452, 16385, 16476, 16582, 16582, 21184, 55388, 19831, 16807, 22738, 16721, 25703, 16435, 27175, 16419, 17655, 42037, 19240, 46757, 16671, 18494, 27175, 26852, 52989, 51622, 17027, 35404, 25341, 16397, 16442, 16400, 16401, 16444, 16391, 16386, 37094, 16402, 16401, 16404, 16407, 16406, 16396, 54690, 16396, 16399, 16399, 16400, 16401, 16392, 16474, 18452, 16396, 18926, 16412, 16385, 18452, 16385, 16476, 16395, 16604, 16442, 16400, 16402, 16444, 16391, 16386, 37094, 16402, 16401, 16404, 16407, 16406, 16396, 54690, 16396, 16399, 16399, 16400, 16402, 16392, 16474, 18452, 16396, 18926, 16412, 16385, 18452, 16385, 16476, 16395, 16604, 16442, 16400, 16403, 16444, 16391, 16386, 37094, 16402, 16401, 16404, 16407, 16406, 16396, 54690, 16396, 16399, 16399, 16400, 16403, 16392, 16474, 18452, 16396, 18926, 16412, 16385, 18452, 16385, 16476, 18708, 23806, 16395, 18919, 16395, 16769, 16804, 23354, 16395, 16442, 16400, 16404, 16444, 16391, 16386, 37094, 16402, 16401, 16404, 16407, 16406, 16396, 54690, 16396, 16399, 16399, 16400, 16404, 16392, 16474, 18452, 16396, 18926, 16412, 16385, 18452, 16385, 16476, 16674, 16986, 16704, 29487, 16741, 16671, 18515, 16873, 17027, 20746, 16671, 25703, 16435, 27175, 16431, 16397, 26367, 16395, 16647, 18230, 21449, 16673, 55376, 17605, 27842, 16674, 16647, 19938, 16673, 42037, 19240, 16709, 55376, 60411, 16674, 21920, 16673, 18554, 20397, 23971, 52272, 18290, 16397, 16582, 16582, 41751, 16604, 16474, 16386, 37094, 16402, 16401, 16404, 16407, 16406, 16396, 19810, 16396, 16399, 16399, 16399, 16408, 16476, 16582, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16582, 16582, 17635, 16704, 16641, 17975, 32849, 17521, 16395, 48693, 16395, 55388, 18077, 30163, 21903, 25178, 16673, 18873, 38835, 25703, 16435, 27175, 16419, 16674, 25703, 16435, 27175, 16431, 19729, 63937, 17655, 16819, 16919, 19992, 16395, 48231, 16395, 16674, 30809, 22534, 19992, 22277, 16672, 16641, 18494, 20128, 16604, 16391, 40449, 25770, 23126, 16395, 34077, 16395, 18303, 24687, 16392, 16815, 19557, 16604, 16401, 16399, 16400, 16399, 16671, 19160, 16604, 16401, 16399, 16400, 16406, 16397, 16772, 18077, 16763, 22782, 16809, 16647, 31635, 49122, 19542, 16767, 16647, 24624, 25770, 23126, 16395, 16944, 17257, 16804, 18616, 24608, 26535, 16715, 30818, 16673, 21903, 17534, 22667, 16397, 16772, 18077, 32735, 16466, 16671, 16647, 41504, 16673, 53175, 16397, 16582, 16582, 19439, 28194, 16725, 16604, 16474, 16386, 37094, 16402, 16401, 16404, 16407, 16406, 16396, 19810, 16396, 16399, 16399, 16400, 16399, 16476, 16582, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16582, 16582, 36085, 63937, 16763, 36216, 17655, 19749, 22658, 16734, 18873, 17131, 18070, 53416, 16674, 62500, 26187, 16725, 16397, 26090, 16763, 25830, 19565, 17242, 16933, 47721, 16395, 23856, 40050, 16395, 16674, 16655, 16934, 23021, 16675, 45681, 16397, 16772, 52989, 51622, 18758, 16763, 23461, 16809, 16647, 20622, 16657, 16737, 16709, 16647, 20445, 16673, 17474, 26343, 16395, 25739, 16673, 16739, 22333, 16395, 16674, 29258, 51622, 23239, 16397, 17008, 36001, 16763, 19570, 16641, 22155, 16672, 16647, 18094, 16673, 22155, 16671, 26497, 16858, 26109, 22277, 16674, 19729, 16767, 16647, 21304, 23914, 16397, 16772, 17092, 42037, 19240, 16763, 58861, 16672, 19557, 16604, 16401, 16399, 16400, 16399, 16397, 16772, 18211, 42037, 19240, 22277, 16958, 17405, 16409, 58274, 16604, 16400, 16403, 16404, 16407, 16432, 16604, 16391, 17287, 16397, 44326, 22552, 16395, 38967, 20061, 16395, 23279, 16392, 16395, 21388, 16805, 51192, 16448, 16604, 16391, 24393, 16467, 20364, 19376, 16395, 39654, 16395, 41599, 16392, 16395, 16674, 19915, 30838, 18126, 16403, 16604, 16391, 47560, 35299, 16395, 45152, 33401, 16395, 24636, 16392, 16397, 16772, 20100, 16673, 27280, 16763, 17366, 16767, 63937, 16674, 16763, 17366, 16709, 16647, 20445, 16673, 21057, 16785, 25739, 16673, 16739, 22333, 16397, 16582, 16582, 33348, 27175, 20999, 16604, 16474, 16386, 37094, 16402, 16401, 16404, 16407, 16406, 16396, 19810, 16396, 16399, 16399, 16400, 16400, 16476, 16582, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16582, 16582, 56666, 16958, 20440, 16903, 16672, 22774, 19729, 22595, 37790, 16397, 24464, 16604, 16401, 16399, 16400, 16402, 16395, 18873, 41179, 33444, 63186, 17139, 35527, 23040, 34653, 16397, 17999, 16811, 17291, 16395, 18873, 16672, 52798, 33835, 41179, 32670, 17725, 61308, 39583, 27175, 49586, 34653, 16673, 16767, 16755, 17063, 16682, 38456, 23088, 17655, 16667, 27750, 17225, 24291, 17329, 32703, 16674, 16767, 17155, 24142, 18536, 39545, 16397, 16875, 18873, 16734, 52798, 33835, 16395, 16767, 20428, 51622, 16763, 17280, 16767, 16604, 16405, 16399, 18331, 17100, 17876, 16398, 17784, 16395, 16674, 16647, 51622, 21920, 16763, 17280, 16671, 42018, 24087, 16734, 16667, 17361, 17469, 38456, 23088, 16673, 16604, 16399, 16671, 16604, 16403, 18331, 17413, 16395, 18745, 16671, 16647, 28488, 16397, 16875, 18873, 16734, 24942, 16767, 20428, 44110, 49137, 16395, 17262, 59489, 16674, 52989, 22277, 16958, 58861, 16674, 16641, 25703, 16435, 34731, 16763, 17405, 16395, 24714, 18841, 16647, 16767, 20428, 18463, 16674, 25776, 16647, 34731, 16671, 16641, 59489, 34333, 21920, 16397, 16875, 18873, 16734, 16819, 35988, 16767, 20428, 44110, 49137, 21051, 19428, 22595, 16734, 17242, 65217, 16660, 16821, 16682, 38456, 51622, 25217, 16604, 16391, 16443, 16411, 16408, 16407, 16388, 16392, 16395, 16767, 16755, 17063, 16682, 38456, 42664, 16836, 20118, 16763, 36216, 16395, 18745, 16671, 16647, 18403, 20250, 22503, 16443, 16390, 16466, 19270, 16397, 18916, 16604, 16401, 16399, 16400, 16402, 16395, 63186, 17139, 35527, 23040, 34653, 16763, 17097, 36216, 16672, 65267, 17975, 20833, 16756, 16397, 16582, 16582, 23488, 42969, 16604, 16474, 16386, 37094, 16402, 16401, 16404, 16407, 16406, 16396, 19810, 16396, 16399, 16399, 16400, 16401, 16476, 16582, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16582, 16582, 16853, 20618, 17291, 17411, 16763, 18804, 30174, 16395, 16944, 19618, 34947, 54093, 16397, 44074, 17291, 18842, 19618, 34947, 30174, 16674, 16819, 54704, 55376, 60411, 16397, 16772, 17092, 18094, 16763, 19618, 16672, 16647, 19335, 16397, 18419, 18577, 16671, 21920, 16673, 18554, 16395, 21891, 34947, 18554, 16763, 21365, 16741, 16641, 16604, 16385, 30832, 16395, 26942, 18554, 18443, 16671, 34947, 22556, 16395, 56640, 16665, 16809, 16667, 39957, 19260, 16673, 29628, 17989, 16604, 16400, 18331, 26844, 16673, 16647, 37073, 16673, 29243, 22665, 16395, 16385, 16442, 16400, 16405, 16444, 16391, 16386, 37094, 16402, 16401, 16404, 16407, 16406, 16396, 54690, 16396, 16399, 16399, 16400, 16405, 16392, 16474, 18452, 16396, 18926, 16412, 16385, 18452, 16385, 16476, 25743, 18554, 16815, 24889, 22155, 16763, 21365, 16741, 16604, 16385, 41217, 17135, 16641, 18472, 16673, 21903, 53437, 16672, 22907, 16674, 22665, 16673, 18544, 22155, 21051, 19428, 19165, 16385, 16442, 16400, 16406, 16444, 16391, 16386, 37094, 16402, 16401, 16404, 16407, 16406, 16396, 54690, 16396, 16399, 16399, 16400, 16406, 16392, 16474, 18452, 16396, 18926, 16412, 16385, 18452, 16385, 16476, 16785, 34947, 54093, 16397, 28505, 17854, 17586, 16958, 23980, 17181, 19428, 21615, 17155, 16604, 16402, 18331, 47792, 16809, 33998, 16929, 16958, 62030, 16671, 16858, 16977, 20475, 17586, 16397, 28505, 17854, 16674, 18094, 17586, 16958, 23980, 16809, 21681, 33998, 16929, 16958, 62030, 16671, 16858, 16977, 17586, 16395, 20302, 20475, 18231, 32293, 16397, 16582, 16582, 27765, 35292, 26869, 16604, 16474, 16386, 37094, 16402, 16401, 16404, 16407, 16406, 16396, 19810, 16396, 16399, 16399, 16400, 16402, 16476, 16582, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16582, 16582, 17071, 32957, 28830, 16395, 17028, 22383, 16672, 25178, 29059, 17415, 16819, 16919, 19992, 16674, 48231, 52989, 22277, 16604 ]
[ 0, 16396, 16396, 16396, 16582, 38841, 16409, 16604, 16390, 17507, 17875, 17348, 16641, 55882, 19335, 16673, 16647, 41313, 18109, 41318, 16709, 16667, 37700, 17434, 31291, 16673, 16604, 16387, 16443, 31962, 16387, 16396, 18926, 32163, 35920, 16734, 16647, 23903, 16396, 17094, 43868, 19453, 17731, 16397, 16772, 18466, 16769, 19739, 16734, 16641, 18655, 17434, 31291, 16673, 19749, 16604, 16894, 27897, 16396, 22744, 16900, 35920, 16673, 16647, 16759, 16675, 16749, 18528, 16397, 17119, 17620, 28613, 16673, 16647, 19570, 17434, 16672, 20409, 16673, 17073, 18230, 28771, 16715, 18109, 22049, 16672, 16641, 35643, 39546, 38195, 16673, 32871, 16674, 20315, 29013, 17082, 35920, 16397, 16390, 16582, 32526, 16409, 16604, 16475, 16582, 16696, 16387, 16474, 16476, 16445, 16400, 16387, 39770, 16673, 61719, 22678, 37012, 16395, 16957, 16396, 16431, 20221, 20455, 18490, 29878, 36684, 16675, 18059, 16395, 16604, 16400, 16408, 16404, 16401, 16404, 16400, 16395, 16957, 16397, 16396, 16431, 20221, 20455, 16395, 21590, 16443, 16582, 16696, 16387, 16474, 16476, 16445, 16401, 16387, 39770, 16673, 37012, 16395, 16957, 16396, 16431, 20221, 20455, 18490, 18059, 16395, 16604, 16400, 16408, 16407, 16404, 16399, 16403, 16395, 16957, 16396, 16431, 20221, 20455, 16395, 21590, 16582, 26371, 16409, 16582, 16396, 16604, 16390, 16416, 16397, 16434, 16397, 17614, 18292, 16688, 16387, 16474, 16476, 16445, 16400, 16387, 16395, 16711, 16397, 16419, 16397, 17986, 64168, 24299, 16387, 16474, 16476, 16445, 16401, 16387, 16395, 16793, 16397, 16437, 16397, 24491, 16679, 17063, 16387, 16474, 16476, 16445, 16400, 16387, 16395, 16759, 16397, 16437, 16397, 16908, 16825, 16755, 21585, 17063, 16387, 16474, 16476, 16445, 16400, 16387, 16390, 16582, 23718, 16409, 16604, 16475, 16582, 16696, 22520, 33674, 18109, 41318, 16709, 16667, 37700, 17434, 16734, 16443, 16582, 16696, 17094, 43868, 20189, 16673, 16647, 19453, 17731, 16582, 16396, 16396, 16396, 16582, 16582, 38194, 16582, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16582, 16582, 16416, 18650, 18898, 16673, 19831, 16673, 20315, 29013, 17082, 37700, 19258, 16807, 21882, 16709, 16914, 19680, 28966, 20937, 16672, 19001, 24375, 22089, 16397, 27385, 17213, 16395, 18321, 19761, 16872, 16992, 17839, 16665, 16671, 16647, 28966, 23870, 17415, 18109, 16674, 18798, 16395, 16674, 28966, 20693, 16672, 18343, 16604, 16442, 16415, 19725, 16423, 16410, 16604, 16415, 47136, 16410, 16604, 16415, 33015, 60528, 16425, 52107, 16417, 16444, 16397, 20361, 16673, 16647, 32541, 16715, 18109, 22049, 16672, 37700, 16901, 65119, 16769, 18138, 16709, 18479, 16673, 16647, 16604, 16387, 16443, 31962, 16387, 16396, 18926, 27760, 16673, 16641, 21686, 33252, 17065, 16647, 17301, 16396, 45631, 23903, 60330, 16673, 16647, 37700, 19453, 17731, 16397, 16772, 18071, 16787, 18410, 38946, 29983, 32712, 16604, 16391, 16420, 18317, 16392, 25022, 16672, 16641, 21088, 37700, 38195, 16763, 24228, 25402, 16672, 25862, 16397, 16604, 16442, 16415, 25855, 19725, 16427, 16438, 16444, 16395, 16674, 17027, 16672, 25862, 16397, 16604, 16442, 16415, 22942, 16427, 16426, 16444, 16395, 17187, 16641, 18494, 49650, 17279, 41277, 17731, 16763, 25499, 16672, 17142, 16901, 65119, 16673, 21306, 35920, 16734, 16667, 24047, 16673, 16604, 16400, 16406, 16388, 16397, 39098, 25717, 16709, 27760, 16673, 16641, 23903, 27944, 52701, 21920, 17065, 16641, 40817, 21920, 16734, 24047, 18399, 16671, 16604, 16408, 16399, 16388, 16604, 16442, 16415, 17904, 23602, 16444, 16674, 16709, 16647, 24249, 16396, 19608, 21660, 33312, 27218, 16645, 26277, 16672, 16641, 20639, 16604, 16387, 16443, 31962, 16387, 16396, 29372, 17131, 16799, 18317, 19527, 16604, 16442, 16415, 62475, 32867, 16423, 16444, 17299, 29334, 19056, 16715, 21625, 16641, 28966, 23870, 17415, 18109, 16674, 37700, 19258, 16397, 18523, 16395, 18613, 24206, 16673, 37700, 20693, 55049, 16704, 16641, 24809, 16674, 16804, 34742, 26182, 21535, 16397, 16875, 16647, 17843, 16673, 21088, 37700, 54567, 17035, 16395, 16998, 19031, 16673, 16647, 22281, 26755, 23437, 26894, 16641, 19348, 30564, 16715, 16647, 16799, 18317, 17717, 17172, 16673, 16647, 18661, 25817, 16674, 23693, 20809, 20866, 16673, 37700, 22846, 16674, 61308, 39583, 20240, 18998, 16395, 16944, 26837, 16672, 39500, 33384, 18493, 16647, 17476, 24068, 55494, 40921, 16673, 32847, 21915, 16396, 46528, 35920, 16604, 16442, 16415, 21332, 36050, 26278, 16417, 16426, 53260, 16444, 16397, 16875, 16647, 17843, 16673, 20315, 29013, 17082, 16674, 26022, 17406, 37700, 20074, 16395, 16944, 16843, 16703, 21789, 16672, 16641, 20884, 28466, 16396, 19299, 16956, 32440, 16604, 16391, 16428, 18957, 16392, 16395, 16715, 16991, 26182, 26502, 26755, 41185, 17473, 23084, 16769, 39273, 16604, 16442, 16415, 46697, 24546, 16444, 16395, 16850, 16986, 16769, 16641, 18244, 21532, 16672, 26662, 24329, 16859, 17259, 35920, 16674, 18065, 17274, 16641, 17434, 20665, 16925, 16397, 18483, 18230, 20075, 21384, 18321, 29580, 16715, 20176, 18109, 22049, 16672, 61688, 16672, 16641, 39715, 26618, 16410, 17134, 25862, 16397, 16604, 16442, 16415, 29182, 29158, 16444, 16397, 16582, 16582, 43670, 20143, 16672, 26182, 19831, 16673, 18109, 47587, 29698, 16672, 16647, 32871, 16674, 24906, 16952, 37671, 37700, 19258, 16604, 16442, 16415, 41665, 22537, 16410, 16604, 16415, 16417, 23100, 16426, 16444, 34190, 16907, 16671, 17133, 16721, 16647, 22049, 34670, 16715, 18109, 17120, 16703, 25095, 16922, 23654, 16980, 35920, 25566, 16665, 16734, 16647, 18676, 23626, 24759, 16672, 16647, 32871, 26302, 16397, 17426, 16667, 37700, 23232, 21998, 16922, 17032, 16917, 37924, 16672, 16647, 21765, 47714, 16809, 16647, 26993, 36879, 16395, 16647, 22009, 26755, 32622, 16843, 16703, 47551, 16715, 16641, 21677, 17679, 16673, 35920, 17032, 16728, 16704, 22484, 18964, 16672, 26022, 17406, 26302, 16397, 16875, 16647, 17875, 19420, 16742, 18751, 16647, 18234, 16673, 18109, 41318, 16809, 17274, 16667, 37700, 17434, 16395, 16944, 16872, 28653, 17407, 17587, 41313, 20937, 16397, 21604, 16647, 18234, 16673, 41313, 16785, 27158, 18109, 41318, 16674, 18445, 16396, 20759, 21976, 29698, 16807, 16992, 17204, 20916, 16672, 37700, 28792, 16674, 28966, 55561, 16715, 22231, 16604, 16391, 19914, 17143, 21620, 16397, 16604, 16442, 16415, 16417, 20321, 17904, 16410, 16604, 16415, 16416, 30962, 17166, 21918, 16444, 16392, 16395, 55882, 19335, 16715, 16647, 35920, 16734, 38504, 16758, 19453, 19619, 16704, 17363, 18761, 31416, 20888, 16672, 16647, 23824, 16604, 16442, 16415, 20112, 16910, 17182, 17478, 16444, 16397, 16772, 55882, 33181, 19074, 16859, 17963, 16807, 16992, 18090, 21187, 16715, 16604, 16894, 27897, 16396, 22744, 16900, 35920, 16674, 16958, 22247, 30930, 16809, 16647, 18234, 16673, 25240, 46907, 23289, 16673, 16647, 18109, 20734, 17181, 16952, 37671, 18691, 16674, 16809, 16667, 27391, 16396, 18926, 47587, 16395, 17187, 23052, 16815, 21801, 16671, 18354, 26390, 21846, 16641, 25573, 18814, 16410, 17134, 17143, 21620, 16397, 16604, 16442, 16415, 16433, 24197, 16410, 16604, 16415, 16422, 19647, 16416, 30962, 17166, 21918, 16410, 16604, 16415, 36851, 16426, 16423, 16444, 16397, 16582, 16582, 17071, 16811, 19420, 16742, 17460, 16641, 55882, 21193, 16673, 16647, 41313, 18109, 41318, 16815, 16667, 37700, 17434, 36290, 16673, 16604, 16387, 16443, 31962, 16387, 16396, 18926, 32163, 35920, 16734, 16647, 23903, 16396, 17094, 43868, 19453, 17731, 16397, 16772, 18466, 16769, 19739, 16734, 16641, 18655, 17434, 16673, 16604, 16894, 27897, 16396, 22744, 16900, 35920, 16673, 16647, 16759, 16675, 16749, 18528, 16397, 17119, 17620, 28613, 16673, 16647, 19570, 17434, 16672, 16647, 20409, 16673, 17073, 18230, 28771, 16715, 16647, 18234, 16673, 18109, 22049, 16672, 16641, 35643, 39546, 38195, 16673, 32871, 16674, 20315, 29013, 17082, 35920, 16397, 16582, 16582, 16853, 16779, 22678, 24819, 16582, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16582, 16582, 52535, 40686, 16674, 16647, 41318, 19532, 19648, 16582, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16582, 16582, 16853, 28966, 16396, 48692, 23289, 16673, 16647, 49650, 41318, 18234, 16704, 18138, 16709, 16647, 24518, 17502, 16673, 16604, 16387, 16435, 16387, 25732, 16395, 16944, 16704, 21365, 16809, 16604, 16387, 16387, 16443, 17159, 16474, 16435, 16476, 16391, 16420, 16392, 16412, 16443, 17159, 16474, 16437, 16476, 16394, 16443, 17159, 16474, 16437, 16476, 16443, 19873, 16474, 16400, 16476, 16474, 16420, 16396, 16443, 17159, 16474, 16423, 16476, 16476, 16443, 17159, 16474, 16437, 16476, 16395, 16388, 16582, 16443, 19974, 16474, 16401, 16397, 16400, 16476, 16388, 16387, 16387, 17187, 16604, 16387, 16443, 17159, 16474, 16423, 16476, 16387, 16704, 16647, 18804, 56771, 31291, 16673, 16647, 17975, 28380, 63113, 17015, 16604, 16387, 16443, 17159, 16474, 16423, 16476, 16446, 16399, 16387, 16674, 16667, 24375, 17902, 16604, 16387, 16443, 17159, 16474, 16437, 16476, 16387, 17274, 16721, 16604, 16387, 16443, 17159, 16474, 16423, 16476, 16412, 16443, 17159, 16474, 16423, 16476, 16446, 16399, 16394, 16443, 17159, 16474, 16437, 16476, 16387, 16397, 16772, 18712, 21981, 16604, 16387, 16420, 16387, 16704, 16667, 34820, 19680, 25594, 16672, 34511, 16397, 16391, 16443, 16442, 16401, 16397, 16400, 16443, 16444, 16392, 16397, 19488, 16647, 41318, 17650, 16395, 36509, 16815, 20808, 17731, 16604, 16387, 16475, 16456, 16443, 28077, 16387, 16671, 16647, 18551, 17731, 16604, 16387, 16475, 16453, 16443, 28077, 16387, 16395, 16704, 23078, 16809, 16647, 18211, 24511, 17415, 16647, 33868, 19532, 19648, 16674, 16647, 23052, 40686, 16395, 18201, 16809, 16647, 21646, 16604, 16387, 16435, 16387, 16396, 34700, 20688, 19570, 16741, 16641, 17917, 16673, 16647, 20808, 18712, 16604, 16387, 16420, 16446, 16456, 16387, 16409, 16604, 16387, 16387, 16451, 16443, 24565, 16446, 16474, 16456, 16443, 16928, 16662, 16476, 16412, 16443, 19873, 16474, 16474, 16443, 18336, 16965, 16476, 16445, 16401, 16476, 16474, 16443, 58498, 16445, 16401, 16582, 16450, 16445, 16403, 16476, 16443, 19873, 16474, 16443, 26442, 16390, 16445, 16401, 16476, 16474, 16391, 16401, 16443, 21210, 16392, 16445, 16401, 16476, 16388, 16582, 16443, 19911, 16475, 16435, 16446, 16474, 16454, 16390, 16443, 23462, 16474, 16452, 16476, 16390, 16443, 23462, 16474, 16458, 16476, 16390, 16395, 16454, 16443, 16395, 16443, 23462, 16474, 16452, 16443, 16395, 16458, 16476, 16476, 16391, 16420, 16446, 16456, 16394, 16456, 16399, 16392, 16443, 18357, 16475, 16445, 16401, 16451, 16443, 28246, 16388, 16582, 16443, 19974, 16474, 16401, 16397, 16401, 16476, 16388, 16387, 16387, 20195, 16647, 20808, 17731, 16604, 16387, 16475, 16456, 16443, 28077, 16387, 16704, 25101, 16809, 16647, 36464, 49650, 16743, 16466, 23160, 27280, 16604, 16387, 16443, 23462, 16474, 16458, 16476, 16387, 16395, 23790, 16604, 16387, 16443, 26442, 16443, 37337, 16443, 26442, 16446, 16458, 16412, 16450, 16443, 16395, 16458, 16387, 16395, 16674, 46444, 27280, 16604, 16387, 16443, 23462, 16474, 16452, 16476, 16387, 16395, 16674, 16647, 37700, 17434, 17863, 34053, 16641, 18343, 19453, 17731, 16604, 16387, 16475, 16454, 16443, 28077, 16387, 16397, 16772, 18551, 17731, 16604, 16387, 16475, 16453, 16443, 28077, 16387, 16704, 25101, 16809, 16641, 18655, 17280, 16673, 16647, 28966, 20246, 16395, 16944, 16769, 44878, 16903, 65075, 16809, 16647, 23490, 17430, 16395, 16674, 16647, 21173, 26008, 16604, 16387, 16443, 28246, 16387, 16704, 23809, 18184, 16647, 23160, 34453, 16673, 16647, 47622, 49650, 16604, 16387, 16443, 23462, 16474, 16458, 16476, 16390, 16387, 16397, 16772, 21057, 16673, 21102, 17873, 21765, 16604, 16387, 16474, 16443, 18336, 16965, 16476, 16387, 16672, 16811, 20825, 16704, 21099, 16809, 16647, 17711, 21102, 17521, 20189, 16673, 16647, 24375, 28164, 16410, 17134, 19057, 16397, 16772, 41318, 17650, 21476, 16659, 16647, 18712, 16673, 20820, 16674, 21425, 25607, 16395, 17274, 16721, 16604, 16387, 16420, 16446, 16456, 16412, 16420, 16446, 16453, 16387, 16397, 16582, 16582, 20965, 23289, 16673, 24375, 17650, 16673, 16647, 44267, 18676, 16734, 16667, 37700, 17434, 16704, 20888, 16672, 16647, 23217, 17877, 40986, 16397, 17170, 19619, 16721, 16647, 19170, 56771, 16395, 22204, 16672, 16647, 50136, 19797, 33536, 16674, 21038, 16715, 16998, 26834, 20705, 17434, 16395, 16872, 16992, 20666, 19853, 31276, 16671, 16647, 23217, 17877, 16396, 18926, 24375, 16734, 16647, 30435, 16721, 37700, 19101, 16704, 17240, 21677, 17032, 16641, 23850, 36879, 16673, 16647, 18676, 30725, 18040, 30880, 16671, 16647, 24375, 28578, 16397, 24423, 16641, 17301, 16396, 22991, 35313, 23217, 17877, 40986, 17134, 25862, 16397, 16604, 16442, 16415, 17822, 16435, 16461, 24087, 20112, 16444, 16715, 26096, 16725, 20184, 22277, 16671, 16647, 18211, 24375, 56771, 16715, 16667, 37700, 38195, 31291, 16673, 16604, 16387, 16429, 16387, 23217, 17877, 16396, 18926, 17184, 61058, 38313, 40192, 16734, 16647, 21102, 17521, 44267, 18676, 16409, 16604, 16387, 16387, 16443, 18364, 16474, 46162, 16476, 16582, 16443, 17159, 16474, 16437, 16476, 16389, 16412, 16389, 16396, 16443, 20274, 16446, 16474, 16448, 16412, 16400, 16476, 16445, 16474, 16429, 16476, 16388, 16582, 16443, 17159, 16474, 16443, 23462, 16474, 16451, 16476, 16476, 16445, 16474, 16391, 16448, 16392, 16476, 16443, 17159, 16474, 16443, 23462, 16474, 16420, 16476, 16476, 16391, 16443, 23462, 16474, 16465, 16476, 16446, 16448, 16392, 16394, 16443, 17159, 16474, 16423, 16476, 16446, 16474, 16443, 24160, 16474, 17224, 16476, 16476, 16395, 16388, 16582, 16443, 34516, 16443, 16443, 16388, 16582, 16443, 17159, 16474, 16423, 16476, 16446, 16474, 16443, 24160, 16474, 17224, 16476, 16476, 16389, 16412, 16389, 16443, 20274, 16446, 16474, 16448, 16412, 16400, 16476, 16445, 16474, 16429, 16476, 16443, 19873, 16474, 16401, 16443, 21210, 16476, 16474, 16474, 16443, 18336, 16965, 16476, 16476, 16443, 20274, 16446, 16474, 16466, 16476, 16443, 19911, 16391, 16443, 23462, 16474, 16452, 16476, 16446, 16466, 16443, 17159, 16474, 16443, 23462, 16474 ]
[ 0, 38194, 16604, 16474, 16386, 37256, 16400, 16476, 16582, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16582, 16582, 23879, 24812, 19126, 26026, 16647, 27287, 16673, 18171, 16396, 64523, 16666, 16674, 38409, 16673, 27100, 19487, 16769, 26386, 17655, 16604, 16393, 16419, 19846, 63238, 16393, 16653, 35781, 16741, 16641, 18528, 16445, 16442, 16415, 23965, 16400, 16444, 16445, 16397, 16604, 16393, 16419, 19846, 63238, 16393, 42361, 16817, 19881, 16673, 16653, 27666, 21046, 16395, 31446, 16673, 23572, 44615, 21864, 16671, 16647, 36100, 35151, 16395, 16944, 23758, 36100, 17583, 27100, 19487, 16604, 16391, 16422, 48641, 16392, 16397, 16711, 20338, 42150, 16673, 17275, 17957, 19487, 18365, 16741, 16641, 36277, 53189, 16796, 21066, 17731, 19565, 17476, 18155, 32995, 33582, 16445, 16442, 16415, 23965, 16400, 16444, 16396, 16396, 16442, 16415, 23965, 16402, 16444, 16445, 16397, 16772, 47991, 36277, 19497, 27756, 63336, 16604, 16391, 32571, 16392, 19487, 16395, 17895, 19487, 16604, 16391, 19573, 16466, 16392, 16395, 16674, 48905, 19487, 16604, 16391, 19234, 16466, 16392, 16397, 16796, 48641, 20206, 19047, 27406, 16466, 16674, 16647, 17154, 43895, 28377, 16466, 16395, 16944, 19650, 16796, 21066, 38409, 16809, 43601, 17230, 17382, 16904, 16682, 16904, 18457, 16675, 16604, 16391, 16419, 16780, 16392, 16674, 21543, 21387, 23863, 16604, 16391, 16422, 18979, 16392, 22036, 32247, 18376, 16445, 16442, 16415, 23965, 16403, 16444, 16396, 16396, 16442, 16415, 23965, 16406, 16444, 16445, 16397, 18708, 32247, 18376, 25566, 16734, 16796, 21066, 20293, 39043, 16674, 39224, 16738, 23801, 32995, 16395, 16944, 17573, 35019, 37732, 16673, 16647, 16604, 16393, 16449, 16707, 16393, 23273, 19062, 16715, 16796, 21066, 38409, 16397, 18916, 16796, 21066, 24130, 16395, 16917, 16673, 16647, 20803, 19487, 49817, 17073, 27100, 17731, 16395, 25743, 16647, 16977, 16917, 22485, 16647, 18171, 16396, 64523, 16666, 36277, 16674, 23159, 16671, 44415, 17065, 16641, 40961, 54644, 16395, 16944, 17177, 56580, 16674, 17476, 62564, 16671, 17510, 16641, 40961, 16673, 36100, 19487, 28160, 16809, 17275, 17957, 39973, 17972, 19487, 16397, 16711, 18321, 33544, 16673, 16796, 48641, 16674, 40961, 54644, 16466, 16704, 16647, 20768, 19846, 16838, 16395, 16641, 57331, 25204, 18370, 16395, 16944, 51345, 17065, 16641, 62692, 20189, 18047, 16647, 16662, 16730, 16838, 29732, 16647, 45644, 36100, 19487, 16397, 17999, 40818, 16647, 38409, 16673, 16647, 40961, 54644, 16395, 16738, 23801, 32995, 17724, 16703, 27364, 16809, 17476, 41892, 16674, 40412, 36977, 27287, 16445, 16442, 16415, 23965, 16407, 16444, 16445, 16397, 16772, 20987, 16673, 28377, 16466, 20776, 16647, 32161, 16673, 16738, 23801, 32247, 18376, 16674, 20821, 23129, 38409, 16673, 16647, 40961, 54644, 16466, 16674, 45644, 40961, 16466, 16445, 16442, 16415, 23965, 16408, 16444, 16395, 16442, 16415, 23965, 16400, 16399, 16444, 16445, 16397, 23121, 16395, 16647, 39854, 17275, 17957, 36277, 19522, 24316, 25870, 16715, 16796, 48641, 16395, 17437, 16641, 16922, 42435, 16697, 20186, 38409, 36277, 16395, 24398, 16809, 28377, 16466, 16395, 16704, 19062, 16715, 18027, 38409, 16673, 16796, 21066, 52459, 16472, 16397, 16582, 16582, 16853, 28854, 27796, 16604, 16391, 16431, 54335, 16396, 19595, 47619, 31364, 16392, 31133, 24758, 20825, 16673, 17333, 63433, 21025, 16604, 16391, 23163, 16466, 16392, 16672, 17490, 17275, 17957, 16674, 36100, 19487, 16673, 16604, 16393, 16419, 19846, 63238, 16393, 42361, 16817, 16397, 16739, 54335, 26513, 32261, 16809, 17785, 28854, 42073, 16604, 16391, 16401, 16403, 16396, 16396, 16402, 16399, 16686, 16467, 16392, 24238, 40550, 31364, 31184, 19868, 16671, 16914, 36991, 16785, 16647, 56072, 16673, 37732, 16734, 16647, 17261, 16673, 16977, 26513, 16604, 16391, 17756, 18603, 17134, 16445, 16442, 16415, 23965, 16400, 16400, 16444, 16445, 16392, 16397, 16772, 18365, 27732, 17917, 16673, 16647, 28854, 27796, 31133, 16672, 16647, 47991, 17275, 16448, 16704, 16647, 56072, 16673, 16641, 18462, 17585, 16673, 17275, 22095, 20432, 16790, 22082, 34459, 21527, 18137, 17112, 16445, 16442, 16415, 23965, 16400, 16401, 16444, 16396, 16396, 16442, 16415, 23965, 16400, 16405, 16444, 16445, 16397, 16772, 28854, 27796, 37302, 16672, 16604, 16393, 16419, 19846, 63238, 16393, 47991, 17275, 17957, 19487, 18633, 16671, 16703, 37850, 17032, 17073, 31501, 16672, 16647, 36100, 17583, 16397, 16999, 28435, 19565, 16641, 18494, 16739, 54335, 22036, 22922, 16647, 17567, 26513, 16672, 36100, 19487, 16674, 16641, 26253, 17015, 16673, 17275, 17957, 28854, 42073, 24435, 17099, 16815, 16641, 18494, 19419, 16395, 16647, 28854, 27796, 28518, 16604, 16393, 18809, 29645, 17435, 16393, 16604, 16391, 16393, 18809, 16707, 16393, 16392, 16445, 16442, 16415, 23965, 16400, 16403, 16444, 16395, 16442, 16415, 23965, 16400, 16404, 16444, 16395, 16442, 16415, 23965, 16400, 16406, 16444, 16445, 16721, 16704, 16667, 23447, 16604, 16400, 16407, 16399, 20464, 49687, 19599, 16673, 18126, 16396, 50786, 52453, 29452, 62663, 21990, 16395, 22476, 16809, 34060, 26787, 16674, 16914, 38812, 16445, 16442, 16415, 23965, 16400, 16407, 16444, 16396, 16396, 16442, 16415, 23965, 16401, 16399, 16444, 16445, 16397, 16772, 16604, 16393, 18809, 16707, 16393, 54451, 16704, 21022, 16715, 16647, 56072, 16673, 16767, 17965, 17567, 17275, 22095, 23078, 34459, 21527, 18137, 17112, 16409, 16604, 16393, 17596, 35089, 16393, 16395, 16604, 16393, 16441, 18759, 16393, 16674, 16604, 16393, 16424, 18280, 17307, 16393, 16445, 16442, 16415, 23965, 16401, 16400, 16444, 16396, 16396, 16442, 16415, 23965, 16401, 16403, 16444, 16445, 16397, 21490, 44097, 16673, 16604, 16393, 18809, 16707, 16393, 46815, 17065, 17785, 31364, 31184, 25231, 16672, 57331, 25204, 16966, 16449, 23653, 16397, 16772, 57331, 25204, 28854, 27796, 18783, 35781, 37302, 16672, 17275, 17957, 19487, 19497, 16647, 16686, 17495, 17804, 17565, 17495, 16717, 20462, 16604, 16391, 16441, 17495, 16392, 16395, 16647, 31364, 31059, 16954, 17389, 18889, 16898, 16604, 16391, 18388, 23867, 16392, 16395, 16647, 16700, 26423, 18092, 24020, 16396, 44829, 26513, 54683, 16391, 16400, 16392, 16440, 16449, 16604, 16391, 16440, 16449, 16392, 16674, 16965, 64567, 16462, 16604, 16391, 16437, 18413, 16392, 16395, 16674, 16977, 22539, 16445, 16442, 16415, 23965, 16400, 16405, 16444, 16395, 16442, 16415, 23965, 16401, 16404, 16444, 16396, 16396, 16442, 16415, 23965, 16401, 16406, 16444, 16445, 16397, 16875, 16647, 18067, 16673, 16604, 16393, 18809, 16707, 16393, 29703, 58950, 16395, 28854, 42073, 16769, 28148, 17065, 16739, 54335, 16674, 17177, 18062, 17065, 16647, 44714, 16395, 17187, 30985, 28854, 27796, 16396, 16431, 54335, 41013, 24238, 40550, 34060, 46815, 16674, 17573, 17001, 16914, 37732, 16734, 16647, 17261, 16673, 21798, 17035, 16395, 16944, 27832, 17884, 16877, 34795, 26513, 16395, 17274, 16741, 16751, 16402, 16426, 16408, 37183, 44574, 16954, 41226, 17600, 16604, 16391, 60785, 16392, 16674, 16751, 16402, 16426, 16403, 17661, 24648, 16954, 16670, 16427, 23460, 16400, 16445, 16442, 16415, 23965, 16401, 16407, 16444, 16396, 16396, 16442, 16415, 23965, 16402, 16401, 16444, 16445, 16397, 16582, 16582, 21210, 27796, 31133, 35857, 19225, 16903, 40309, 16673, 16700, 28039, 16674, 17474, 16671, 17476, 16653, 35781, 36820, 16674, 28987, 17269, 16397, 50863, 16395, 17142, 18474, 22539, 16673, 16647, 28854, 27796, 17434, 16395, 16739, 54335, 16674, 16966, 16449, 16395, 16807, 16992, 19628, 16671, 16703, 19062, 16672, 17275, 17957, 19487, 16671, 19650, 16796, 21066, 19260, 16445, 16442, 16415, 23965, 16402, 16402, 16444, 16395, 16442, 16415, 23965, 16402, 16403, 16444, 16445, 16397, 30382, 16728, 16763, 17494, 16721, 16647, 19744, 16673, 18295, 22539, 16673, 16647, 17275, 17957, 28854, 27796, 31133, 16395, 17789, 16739, 54335, 16445, 16442, 16415, 23965, 16402, 16404, 16444, 16396, 16396, 16442, 16415, 23965, 16402, 16406, 16444, 16445, 16395, 16965, 18413, 16445, 16442, 16415, 23965, 16401, 16406, 16444, 16445, 16395, 16604, 16393, 18809, 16707, 16393, 16445, 16442, 16415, 23965, 16401, 16402, 16444, 16395, 16442, 16415, 23965, 16402, 16407, 16444, 16445, 16674, 41226, 16445, 16442, 16415, 23965, 16402, 16407, 16444, 16395, 16442, 16415, 23965, 16402, 16408, 16444, 16445, 17474, 16671, 16647, 38003, 16673, 17959, 26763, 29980, 36100, 19487, 16672, 36100, 25361, 16395, 18365, 16741, 16641, 36100, 17583, 27242, 49494, 16397, 16772, 36100, 18155, 38409, 36820, 21852, 16672, 28854, 27796, 31133, 49967, 16769, 17796, 16671, 16703, 19359, 16671, 16647, 36002, 16673, 28377, 16466, 16445, 16442, 16415, 23965, 16402, 16405, 16444, 16395, 16442, 16415, 23965, 16402, 16406, 16444, 16395, 16442, 16415, 23965, 16402, 16408, 16444, 16445, 16397, 60738, 53864, 16673, 16739, 54335, 16674, 16966, 16449, 22365, 16672, 28377, 16466, 29983, 18122, 20246, 16673, 54040, 27690, 16796, 21066, 16396, 19064, 19487, 16445, 16442, 16415, 23965, 16402, 16405, 16444, 16395, 16442, 16415, 23965, 16402, 16406, 16444, 16445, 16397, 18523, 16395, 16647, 26592, 27287, 16769, 54226, 16397, 30419, 25256, 21931, 16667, 19800, 18960, 16673, 17275, 17957, 18155, 18554, 16672, 42361, 16817, 18443, 16671, 34060, 29304, 16445, 16442, 16415, 23965, 16401, 16406, 16444, 16395, 16442, 16415, 23965, 16402, 16407, 16444, 16445, 16397, 31796, 16807, 17494, 16721, 16739, 54335, 17285, 18326, 34053, 20825, 16673, 16647, 16604, 16393, 16451, 16780, 16393, 23273, 16672, 28377, 16466, 16445, 16442, 16415, 23965, 16402, 16405, 16444, 16395, 16442, 16415, 23965, 16402, 16406, 16444, 16445, 16674, 16721, 34060, 29304, 36970, 16647, 20825, 16673, 16762, 22820, 16403, 54848, 16395, 16944, 34868, 28377, 17917, 16672, 36100, 18155, 38409, 16445, 16442, 16415, 23965, 16402, 16408, 16444, 16445, 16397, 16999, 16872, 16992, 19628, 17027, 16721, 16604, 16393, 21210, 35695, 16393, 35857, 33063, 16647, 31517, 18583, 16673, 55995, 46178, 17361, 19509, 17400, 19487, 16604, 16391, 17347, 28377, 52459, 21474, 16392, 16674, 36100, 19487, 16672, 18334, 18356, 16445, 16442, 16415, 23965, 16402, 16405, 16444, 16445, 16397, 16582, 16582, 21055, 16742, 18288, 18466, 29074, 16721, 16647, 36100, 18155, 38409, 36820, 21099, 16809, 17275, 17957, 34060, 29304, 16672, 16604, 16393, 18809, 16707, 16393, 49967, 16769, 18443, 16671, 16641, 25909, 16673, 28377, 48747, 19971, 16767, 16647, 17641, 17738, 20041, 16395, 25743, 17028, 28377, 18554, 16785, 19642, 25778, 16673, 16914, 19378, 18960, 16763, 21852, 16672, 16604, 16393, 18809, 16707, 16393, 22739, 42361, 16817, 16397, 17119, 17027, 17494, 48645, 16653, 35781, 36820, 16672, 16604, 16393, 18809, 16707, 16393, 49967, 22722, 16734, 35857, 16673, 24507, 36143, 16997, 16458, 16401, 16604, 16391, 25046, 20352, 43441, 16604, 16401, 16392, 16785, 48713, 16604, 16391, 17180, 55249, 30232, 16990, 16855, 16694, 33340, 16396, 31603, 16895, 16392, 54972, 25295, 17779, 16395, 30094, 16671, 18365, 38875, 16658, 17717, 16673, 16604, 16393, 16717, 16458, 16401, 16393, 37394, 16709, 47991, 18356, 21099, 16809, 34060, 16774, 20785, 18324, 16672, 16647, 36100, 17583, 16445, 16442, 16415, 23965, 16402, 16407, 16444, 16395, 16442, 16415, 23965, 16403, 16399, 16444, 16396, 16396, 16442, 16415, 23965, 16403, 16402, 16444, 16445, 16397, 18708, 18466, 24396, 16721, 16647, 17275, 17957, 19487, 16673, 42361, 16817, 16769, 18839, 25628, 16671, 34060, 16903, 40309, 19028, 19260, 16673, 16647, 16997, 16458, 16401, 23642, 20474, 19208, 31133, 16397, 16582, 16582, 32271, 16604, 16474, 16386, 37256, 16401, 16476, 16582, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16582, 16582, 16853, 35233, 16673, 36100, 18155, 38409, 36820, 21099, 16809, 17275, 17957, 34060, 29304, 64620, 16734, 16641, 21999, 17679, 16673, 28377, 16466, 16604, 16474, 16386, 37256, 16402, 16476, 16582, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16582, 16582, 18313, 25929, 18722, 28101, 16445, 16442, 16415, 23965, 16401, 16406, 16444, 16395, 16442, 16415, 23965, 16402, 16406, 16444, 16396, 16396, 16442, 16415, 23965, 16402, 16408, 16444, 16445, 16721, 29304, 16673, 16700, 28039, 16672, 47991, 17275, 17957, 19487, 22277, 16671, 36100, 18155, 38409, 36820, 16395, 16742, 23381, 16647, 20768, 19846, 16838, 16396, 44829, 18155, 17679, 16672, 42361, 16817, 32455, 19001, 22539, 16673, 16647, 17275, 17957, 28854, 27796, 31133, 16395, 16991, 16673, 16944, 16807, 16804, 16992, 23679, 16672, 16811, 19130, 17329, 16397, 17544, 16811, 16674, 17154, 26230, 25717, 16395, 16742, 28060, 42361, 16817, 16673, 16604, 16406, 16396, 17093, 16396, 17082, 31776, 16671, 17823, 27242, 49494, 16671, 17460, 16671, 16641, 36171, 20157, 16397, 26529, 16396, 46220, 26843, 24813, 16837, 19071, 22130, 16641, 48645, 19031, 16672, 16647, 17679, 16673, 20768, 19846, 16838, 16396, 44829, 19487, 19028, 17275, 17957, 55942, 16673, 60457, 17307, 16604, 16391, 18388, 16471, 16392, 16604, 16391, 30086, 18365, 16741, 16796, 21653, 16421, 16400, 16392, 16604, 16391, 24001, 16397, 18331, 16442, 16400, 16448, 16395, 16449, 16444, 16391, 16386, 24001, 16400, 16392, 16474, 18452, 16396, 18926, 16412, 16385, 19327, 16385, 16476, 16392, 16395, 16641, 22497, 16739, 54335, 17055, 44099, 16445, 16442, 16415, 23965, 16401, 16408, 16444, 16395, 16442, 16415, 23965, 16402, 16399, 16444, 16445, 16397, 18705, 16677, 17230, 17389, 23867, 16395, 16641, 57331, 25204, 22825, 16673, 28854, 27796, 18783, 35781, 37302, 16445, 16442, 16415, 23965, 16400, 16405, 16444, 16395, 16442, 16415, 23965, 16401, 16404, 16444, 16445, 16395, 16672, 16858, 17275, 17957, 19487, 16673, 42361, 16817, 16604, 16391, 24001, 16397 ]
[ 0, 38194, 16582, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16582, 16582, 27796, 33384, 16604, 16391, 27796, 16456, 16392, 16704, 16641, 20349, 22547, 23273, 16396, 34295, 23062, 25013, 16672, 16944, 16641, 17785, 56584, 31364, 16604, 16391, 26979, 27796, 16392, 52682, 16641, 18821, 39438, 16395, 40871, 39438, 58950, 19565, 16667, 31364, 16396, 31263, 19670, 23062, 19680, 16604, 16391, 16433, 57884, 16392, 16397, 16445, 16442, 16415, 54690, 16400, 16444, 16395, 16442, 16415, 54690, 16401, 16444, 16445, 17170, 26987, 29698, 16704, 24305, 17405, 16741, 16641, 25998, 19349, 16672, 48566, 18147, 16397, 24153, 18213, 16672, 31364, 30119, 16807, 26961, 21168, 27796, 21003, 20815, 31624, 18356, 16395, 16734, 28456, 34792, 18215, 16672, 21876, 16604, 16401, 21903, 26364, 16715, 28037, 24720, 16604, 16391, 16393, 16452, 16397, 16454, 16397, 16393, 16395, 37532, 16684, 22018, 18413, 16642, 17045, 39169, 16699, 20650, 16392, 16397, 16445, 16442, 16415, 54690, 16402, 16444, 16395, 16442, 16415, 54690, 16403, 16444, 16395, 16442, 16415, 54690, 16404, 16444, 16445, 16582, 16582, 27631, 17073, 33645, 16672, 48566, 18147, 16395, 16647, 17231, 16673, 31364, 16456, 16672, 24438, 17094, 23010, 17225, 18147, 16872, 16992, 20236, 16397, 16445, 16442, 16415, 54690, 16405, 16444, 16445, 17664, 16704, 16641, 18650, 16819, 19606, 17109, 16715, 19406, 16395, 20176, 16395, 16674, 17975, 54701, 21168, 27796, 22667, 20625, 16671, 17374, 21663, 23273, 20825, 16672, 20618, 35627, 16674, 20483, 16397, 16711, 18898, 16673, 25054, 16872, 16992, 29054, 16395, 16445, 16442, 16415, 54690, 16406, 16444, 16445, 17789, 16711, 24011, 38073, 16395, 16445, 16442, 16415, 54690, 16407, 16444, 16395, 16442, 16415, 54690, 16408, 16444, 16445, 43940, 44656, 17099, 16395, 16445, 16442, 16415, 54690, 16400, 16399, 16444, 16445, 39589, 57609, 43196, 59462, 16395, 16445, 16442, 16415, 54690, 16400, 16400, 16444, 16445, 51020, 16673, 32352, 16785, 22129, 26252, 21168, 42073, 16395, 16445, 16442, 16415, 54690, 16400, 16401, 16444, 16395, 16442, 16415, 54690, 16400, 16402, 16444, 16445, 42645, 16395, 16445, 16442, 16415, 54690, 16400, 16403, 16444, 16445, 16674, 35022, 16839, 16396, 16652, 45707, 18138, 22667, 16397, 16445, 16442, 16415, 54690, 16400, 16404, 16444, 16445, 23771, 16673, 17213, 25054, 16872, 19151, 19609, 29963, 18443, 16671, 41712, 16395, 16641, 26012, 16715, 24730, 43845, 16670, 19237, 16395, 16674, 16398, 16658, 20236, 31517, 21559, 16397, 41830, 16462, 22302, 16674, 24340, 17938, 16725, 16673, 21168, 42073, 16769, 24809, 16672, 20618, 35627, 18443, 16671, 18229, 17333, 22302, 55049, 16674, 16914, 20169, 29214, 16671, 23703, 37859, 16397, 16445, 16442, 16415, 54690, 16400, 16405, 16444, 16445, 47279, 16673, 21168, 27796, 17036, 30583, 17035, 16604, 16391, 16427, 16682, 16821, 16729, 19637, 16674, 16711, 24011, 16392, 16872, 16992, 17405, 24228, 16395, 16850, 31589, 17333, 23156, 19108, 32035, 16703, 19678, 17021, 16674, 21384, 24730, 40908, 16674, 26182, 34653, 16671, 20449, 30246, 41824, 16395, 17975, 54701, 19670, 23062, 16672, 54445, 19487, 16397, 16445, 16442, 16415, 54690, 16400, 16406, 16444, 16395, 16442, 16415, 54690, 16400, 16407, 16444, 16395, 16442, 16415, 54690, 16400, 16408, 16444, 16395, 16442, 16415, 54690, 16401, 16399, 16444, 16395, 16442, 16415, 54690, 16401, 16400, 16444, 16395, 16442, 16415, 54690, 16401, 16401, 16444, 16445, 16582, 16582, 17071, 16811, 18077, 16395, 16742, 23467, 16647, 22667, 16395, 21559, 16395, 16674, 19670, 23062, 21672, 16673, 22960, 17057, 17080, 17587, 26252, 21168, 42073, 16604, 16391, 16455, 26979, 42073, 16392, 16672, 20618, 35627, 16674, 16672, 27029, 20483, 16397, 16678, 26979, 42073, 16769, 21168, 27796, 16396, 41723, 17582, 63807, 23858, 22652, 22635, 36101, 16604, 16391, 19914, 16604, 16393, 16393, 16442, 23236, 16604, 16400, 16444, 16391, 16386, 19327, 16400, 16392, 16474, 18452, 16396, 18926, 16412, 16385, 19327, 16385, 16476, 16393, 16393, 16674, 16604, 16393, 16393, 48753, 23984, 16702, 16400, 16393, 16393, 16715, 19168, 22635, 25989, 16673, 28937, 17405, 16392, 20087, 16671, 23129, 41478, 16771, 28223, 16674, 26343, 17437, 54369, 24813, 21886, 28301, 16397, 17376, 16641, 18528, 16715, 17038, 19831, 16395, 16742, 19670, 19939, 16647, 28801, 46753, 16604, 16391, 16393, 16423, 17503, 16393, 16392, 23273, 16395, 16647, 43877, 17225, 23273, 16672, 53103, 16443, 16390, 16466, 20062, 16604, 16391, 26997, 16392, 16397, 26015, 16704, 16667, 18251, 49906, 16396, 19468, 16642, 16795, 24438, 17094, 23010, 17225, 26390, 21099, 16809, 16641, 26227, 24023, 16672, 16647, 60428, 26903, 19599, 16673, 16647, 28801, 46753, 23273, 19868, 16671, 16641, 20710, 16673, 27732, 16674, 31395, 24585, 16397, 16700, 36120, 20379, 21795, 16395, 16647, 17097, 32022, 16396, 48822, 22595, 16715, 26015, 16395, 29196, 16671, 48156, 20062, 22665, 16850, 17257, 16804, 18233, 16647, 20492, 18234, 16409, 16647, 21477, 16673, 26227, 17917, 21099, 16809, 39940, 16604, 16393, 16423, 17503, 16393, 16397, 39098, 19831, 18510, 16721, 44504, 54445, 23860, 19671, 16673, 16604, 16393, 16423, 17503, 16393, 39438, 16843, 27123, 20062, 31462, 17714, 59988, 19732, 31395, 17917, 16604, 16393, 16642, 37154, 16393, 16397, 16445, 16442, 16415, 54690, 16401, 16402, 16444, 16445, 18073, 17875, 16395, 31364, 33384, 19565, 21168, 27796, 16785, 53025, 17582, 39589, 57609, 43196, 16704, 16917, 16673, 16647, 17154, 29334, 31624, 25054, 16715, 44504, 16604, 16393, 16423, 17503, 16393, 39438, 19670, 23062, 16397, 16582, 16582, 17507, 20888, 16641, 20503, 16673, 16678, 26979, 42073, 30634, 16604, 16393, 16423, 17503, 16393, 39438, 16674, 21766, 19705, 25201, 28937, 16397, 17119, 20332, 16721, 20618, 35627, 22207, 17356, 16678, 26979, 27796, 18973, 20206, 16671, 16647, 19995, 22767, 16395, 16734, 29993, 51583, 32764, 16809, 16604, 16400, 20347, 16397, 19883, 43956, 16672, 35627, 50395, 38258, 16674, 17301, 16396, 44076, 19670, 23062, 16673, 16604, 16393, 16423, 17503, 16393, 39438, 16715, 16903, 16671, 16604, 16402, 19105, 16604, 16393, 16642, 36523, 16393, 17714, 18166, 60757, 19938, 16709, 54445, 45394, 16397, 27903, 16395, 16641, 18494, 31289, 16673, 16819, 17024, 21111, 16604, 16391, 37069, 16655, 16725, 16675, 43212, 16785, 16711, 24011, 40908, 16392, 16604, 16393, 16423, 17503, 16393, 16678, 26979, 27796, 17065, 27029, 20483, 19670, 18337, 16604, 16393, 16423, 17503, 16393, 39438, 16734, 27435, 54445, 41712, 16397, 16582, 16582, 16420, 21790, 23273, 19670, 23062, 16672, 20618, 35627, 16674, 16604, 16393, 16642, 37154, 16393, 19028, 17815, 21419, 16673, 16819, 17024, 21111, 16678, 26979, 27796, 23294, 16641, 18650, 21975, 22083, 16672, 16647, 19617, 16673, 31364, 16456, 16671, 64225, 18147, 16395, 31771, 32125, 60781, 25998, 37859, 16672, 16641, 23389, 16395, 26987, 20409, 16397, 16582, 16582, 32271, 16582, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16582, 16582, 16455, 26979, 42073, 16769, 32936, 22207, 17521, 16809, 20618, 35627, 16582, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16582, 16582, 16455, 26979, 27796, 16704, 16667, 63984, 28758, 28414, 16673, 16641, 16604, 16400, 16404, 16396, 61679, 43196, 26252, 31364, 28444, 18754, 16734, 16641, 18494, 16396, 18152, 30924, 16604, 16402, 29084, 24917, 16709, 16647, 22047, 50329, 16604, 16391, 16393, 16393, 16442, 23236, 16604, 16400, 16448, 16444, 16391, 16386, 19327, 16400, 16392, 16474, 18452, 16396, 18926, 16412, 16385, 19327, 16385, 16476, 16393, 16393, 16674, 16604, 16393, 16393, 48753, 23984, 16702, 16400, 16393, 16393, 16392, 16397, 16445, 16442, 16415, 54690, 16401, 16403, 16444, 16395, 16442, 16415, 54690, 16401, 16404, 16444, 16445, 25451, 19918, 16699, 17462, 16672, 16647, 16678, 26979, 27796, 16769, 26252, 16734, 16604, 16401, 29084, 16396, 16430, 16396, 39101, 16604, 16391, 22488, 23899, 50329, 16392, 16785, 16604, 16401, 29084, 16396, 32389, 28875, 16604, 16391, 45057, 50329, 16392, 16671, 23129, 26343, 16395, 16674, 16647, 16604, 16402, 29084, 17291, 16673, 16647, 29525, 50329, 16704, 44656, 16895, 16671, 16641, 22960, 57106, 16939, 16454, 16396, 17822, 16723, 16604, 16391, 16467, 36120, 50060, 63980, 36786, 16392, 16671, 23129, 29993, 26570, 16674, 24426, 16397, 16445, 16442, 16415, 54690, 16401, 16405, 16444, 16445, 16772, 18494, 16396, 18152, 30924, 24506, 21998, 22960, 57106, 27689, 16658, 17201, 17236, 16758, 18675, 17553, 16674, 35264, 31395, 43956, 16809, 16641, 25013, 18655, 16671, 16721, 16673, 53025, 17582, 39589, 57609, 61359, 16397, 16445, 16442, 16415, 54690, 16401, 16406, 16444, 16445, 16772, 21057, 16673, 27689, 16658, 17201, 17236, 17099, 16395, 28675, 17040, 36101, 16395, 16674, 16641, 36786, 44656, 16758, 24448, 16671, 20562, 22960, 17057, 17080, 28301, 16674, 16769, 22009, 16715, 28758, 56680, 16674, 22547, 31395, 22207, 17873, 16397, 16582, 16582, 24021, 19831, 16807, 19628, 16721, 22960, 17057, 17080, 17587, 26252, 21168, 42073, 30434, 16671, 16641, 19609, 18898, 16673, 19487, 16674, 16704, 32035, 22207, 17521, 17714, 16647, 26012, 16715, 16641, 17333, 22302, 16691, 35113, 16397, 16445, 16442, 16415, 54690, 16401, 16405, 16444, 16395, 16442, 16415, 54690, 16401, 16407, 16444, 16395, 16442, 16415, 54690, 16401, 16408, 16444, 16445, 20195, 16395, 16742, 29054, 18515, 63984, 22960, 17057, 17080, 17587, 26252, 21168, 42073, 16769, 32936, 22207, 17521, 16809, 20618, 35627, 16397, 17119, 17494, 16721, 16395, 17014, 18973, 16671, 16647, 19995, 22767, 16395, 23847, 16402, 16396, 62800, 16678, 26979, 42073, 26079, 19970, 16734, 20618, 58501, 35627, 16604, 16391, 16393, 16393, 16442, 23236, 16604, 16400, 16449, 16444, 16391, 16386, 19327, 16400, 16392, 16474, 18452, 16396, 18926, 16412, 16385, 19327, 16385, 16476, 16393, 16393, 16392, 16397, 18708, 23847, 16402, 16396, 62800, 16678, 26979, 42073, 16958, 21852, 16672, 17155, 18155, 16672, 16647, 19995, 16395, 38287, 22547, 16674, 25182, 43956, 16397, 50863, 16395, 16678, 26979, 42073, 23693, 28703, 16734, 28615, 19127, 16674, 16395, 17030, 17005, 16395, 50266, 16672, 16647, 18155, 23653, 16397, 32450, 16673, 20618, 35627, 16734, 16641, 21216, 21766, 16678, 26979, 27796, 30634, 16604, 16393, 16431, 16463, 16949, 16393, 16445, 16442, 16415, 54690, 16401, 16405, 16444, 16395, 16442, 16415, 54690, 16401, 16407, 16444, 16445, 16604, 16391, 28491, 19919, 28519, 46883, 16642, 16738, 16392, 21999, 18821, 39438, 19415, 16809, 16604, 16408, 16399, 16388, 16395, 18613, 22965, 16721, 16647, 21852, 28758, 22207, 17873, 18466, 16672, 38258, 23273, 19670, 23062, 16604, 16391, 16393, 16393, 16442, 23236, 16604, 16400, 16450, 16444, 16391, 16386, 19327, 16400, 16392, 16474, 18452, 16396, 18926, 16412, 16385, 19327, 16385, 16476, 16393, 16393, 16392, 16397, 16582, 16582, 32244, 18698, 16673, 16678, 26979, 42073, 16721, 27465, 28801, 46753, 39438, 16582, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16582, 16582, 30346, 16803, 43956, 16674, 34792, 21852, 16734, 16678, 26979, 42073, 16672, 20618, 58501, 35627, 26220, 16907, 16671, 21986, 25201, 28937, 16721, 18821, 16604, 16393, 16423, 17503, 16393, 39438, 16395, 16647, 18494, 23273, 21022, 16715, 16647, 18356, 16673, 53103, 16443, 16390, 16466, 20062, 16397, 16772, 16678, 26979, 27796, 16443, 16390, 16466, 24730, 22635, 49506, 17082, 16445, 16442, 16415, 54690, 16401, 16405, 16444, 16395, 16442, 16415, 54690, 16401, 16407, 16444, 16445, 16704, 22009, 16715, 26343, 16395, 25980, 17873, 16673, 48191, 26709, 19208, 16395, 16445, 16442, 16415, 54690, 16402, 16399, 16444, 16395, 16442, 16415, 54690, 16402, 16400, 16444, 16445, 16674, 31395, 22207, 17873, 16850, 17223, 21243, 18650, 26704, 16709, 23286, 18692, 16809, 24127, 56584, 16734, 16647, 28758, 16443, 16390, 16466, 16778, 57884, 16396, 16682, 17912, 19629, 16397, 17999, 37572, 16647, 33360, 16673, 29213, 25201, 16604, 16393, 16423, 17503, 16393, 16678, 26979, 42073, 16674, 16671, 26828, 16647, 19045, 18960, 16715, 16811, 18383, 16673, 30119, 16395, 16742, 20087, 16604, 16391, 19635, 26086, 25145, 20101, 16672, 35703, 16674, 33486, 16392, 16674, 49272, 16678, 26979, 42073, 30634, 16604, 16408, 16403, 21186, 18325, 16647, 18206, 16604, 16393, 16423, 17503, 16393, 39438, 16604, 16391, 16393, 16393, 48753, 23984, 16702, 16400, 16393, 16393, 16392, 16397, 16772, 22765, 16673, 16678, 26979, 42073, 16763, 25241, 45203, 16715, 34792, 16672, 17046, 22579, 19487, 16809, 22006, 16678, 26979, 27796, 20206, 16671, 16647, 19995, 22767, 16604, 16391, 37069, 16897, 21530, 22302, 16785, 24340, 17938, 16725, 16392, 16671, 16641, 18551, 24734, 16673, 16604, 16400, 16397, 16404, 40118, 48744, 16398, 16459, 16674, 36183, 19032, 16709, 19415, 16673, 16604, 16393, 16423, 17503, 16393, 16674, 18287, 35655, 16604, 16391, 16393, 16431, 16463, 16949, 16393, 16392, 23273, 39438, 20825, 17655, 16647, 18917, 26104, 41812, 16604, 16391, 43470, 17644, 16688, 20975, 16395, 24657, 42152, 16395, 23279, 16392, 34803, 16397, 18073, 16811, 24734, 16395, 16604, 16401, 16403, 16678, 26979, 42073, 21999, 16604, 16393, 16423, 17503, 16393, 39438, 19415, 16671, 17827, 17032, 16604, 16404, 16399, 16388, 16673, 18123, 19415, 16395, 17789, 16604, 16406, 16678, 26979, 42073, 16721, 21999, 16604, 16393, 16423, 17503, 16393, 39438, 19415, 19057, 16604, 16402, 16399, 16388, 16673, 18123, 16604, 16391, 16393, 16393, 16442, 23236, 16604, 16401, 16448, 16444, 16391, 16386, 19327, 16401, 16392, 16474, 18452, 16396, 18926, 16412, 16385, 19327, 16385, 16476, 16393, 16393, 16392, 16397, 32594, 16819, 51262, 21168, 27796, 31883, 16395, 21076, 16641, 22864, 16734, 24730, 16604, 16401, 16443, 16390, 16396, 16430, 16396, 39101, 16674, 16604, 16401, 16443, 16390, 16396, 32389, 28875, 36101, 37193, 19642, 32043, 16709, 23286, 22525, 16397, 17376 ]
[ 0, 16400, 16397, 35453, 16582, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16582, 16582, 44731, 16604, 16407, 16405, 16403, 16399, 25438, 16673, 18817, 23939, 33017, 17492, 23858, 16641, 16604, 16401, 42346, 30661, 16673, 20932, 39101, 29754, 59171, 29995, 16604, 16391, 22931, 21423, 16392, 20338, 17977, 36457, 16734, 16641, 25101, 18636, 16673, 61407, 17521, 20685, 18896, 16718, 16642, 16704, 17201, 16456, 58668, 16758, 16604, 16391, 16421, 18317, 16418, 16392, 16397, 16772, 20338, 17977, 36457, 16769, 22696, 16715, 51369, 17160, 16647, 43257, 19208, 16673, 19924, 40479, 34801, 16604, 16443, 16442, 16442, 16415, 16449, 16400, 16396, 16457, 16400, 16400, 16399, 16396, 16401, 16454, 18017, 16444, 16443, 16444, 16397, 17170, 19420, 25684, 16647, 24218, 17405, 16715, 58936, 19795, 16673, 16604, 16393, 16428, 18311, 16421, 16393, 16604, 16391, 16460, 21511, 18699, 16673, 24523, 52948, 41624, 18737, 16779, 16392, 16671, 16647, 20338, 17977, 36457, 16734, 61407, 17521, 61633, 16418, 16397, 17664, 16769, 17567, 18166, 27615, 16672, 16811, 23914, 16397, 19833, 16395, 16647, 24734, 16673, 20338, 17977, 36457, 16704, 23975, 17655, 16641, 25260, 16656, 23074, 16604, 16402, 16604, 16391, 16418, 19413, 16737, 23813, 16395, 26515, 27251, 16392, 31239, 21263, 16442, 16400, 16444, 16391, 16386, 28484, 16400, 16396, 16457, 16400, 16400, 16399, 16396, 16401, 16454, 18017, 16392, 16474, 18452, 16396, 18926, 16412, 16385, 28484, 16385, 16476, 16397, 22872, 16395, 16641, 41624, 30247, 16704, 51369, 16895, 17655, 34024, 16428, 16604, 16400, 16408, 16402, 16401, 16395, 16641, 20685, 18896, 16718, 16642, 20075, 16397, 28842, 16395, 16647, 43257, 21686, 16704, 23975, 16715, 17492, 16673, 16647, 20338, 17977, 17752, 21346, 22584, 16397, 24229, 16395, 16647, 17586, 16815, 16647, 17567, 27615, 16769, 17405, 16671, 31284, 16647, 16604, 16393, 16428, 18311, 16421, 16393, 19795, 16673, 16647, 20338, 17977, 36457, 16397, 16582, 16582, 17071, 19545, 16395, 16742, 17366, 28741, 26022, 18604, 16673, 34024, 16428, 16604, 16400, 16408, 16402, 16401, 16674, 51369, 16895, 16647, 41624, 30247, 19208, 16741, 16641, 17917, 16673, 20685, 18896, 16718, 16642, 24734, 16397, 21123, 16647, 24734, 16673, 20685, 18896, 16718, 16642, 35177, 16815, 16604, 16400, 16399, 16445, 25296, 16400, 16401, 16445, 31957, 16398, 16427, 16671, 16604, 16400, 16399, 16445, 25296, 16408, 16445, 31957, 16398, 16427, 16395, 16728, 16763, 19865, 16671, 17839, 18321, 19761, 16671, 40328, 16395, 25544, 16798, 16395, 18345, 17197, 35148, 16395, 16674, 21515, 17242, 20423, 16839, 16397, 16772, 27615, 16673, 16647, 24734, 16673, 16647, 20338, 17977, 17752, 30661, 39510, 16647, 28176, 23208, 16673, 31239, 24734, 16397, 17664, 16769, 16767, 17875, 17028, 31239, 17679, 21743, 16671, 38155, 16647, 24734, 27317, 16397, 16582, 16582, 16416, 40479, 30247, 16763, 17405, 16671, 20165, 16647, 43257, 25870, 19970, 16734, 16647, 18514, 20338, 17977, 17752, 27319, 17492, 16734, 16641, 17476, 18636, 16673, 61407, 17521, 61633, 16418, 16397, 16711, 21038, 31068, 16673, 16604, 16393, 16428, 18311, 16421, 16393, 19795, 17208, 24998, 16641, 25544, 24511, 17415, 16647, 23975, 43257, 21686, 16672, 16647, 40479, 30247, 16674, 16647, 25345, 16604, 16393, 16428, 18311, 16421, 16393, 19795, 16397, 16711, 25544, 17873, 23914, 16763, 17405, 16671, 35432, 16641, 25544, 24511, 17415, 16647, 40479, 30247, 19208, 16673, 16647, 18514, 20338, 17977, 17752, 27319, 16674, 16914, 16604, 16393, 16428, 18311, 16421, 16393, 19795, 16397, 16582, 16582, 16401, 16397, 58700, 63010, 26712, 16674, 16647, 20111, 23683, 16673, 16604, 16393, 16428, 18311, 16421, 16393, 16582, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16582, 16582, 17409, 16763, 24440, 16891, 16604, 16443, 16442, 16442, 16415, 16449, 16401, 16396, 16457, 16400, 16400, 16399, 16396, 16401, 16454, 18017, 16444, 16443, 16444, 16721, 16647, 28966, 24998, 16741, 21365, 16672, 34511, 16466, 16397, 16604, 16391, 16416, 16402, 16392, 16674, 16604, 16391, 16416, 16400, 16403, 16392, 16672, 25862, 16397, 16604, 16443, 16442, 16442, 16415, 16449, 16402, 16396, 16457, 16400, 16400, 16399, 16396, 16401, 16454, 18017, 16444, 16443, 16444, 16704, 16647, 21844, 16673, 48584, 18766, 20536, 34177, 16671, 38767, 18766, 20536, 34177, 16397, 21123, 16647, 18766, 20536, 34177, 16704, 16647, 17918, 16673, 16647, 17679, 34177, 16674, 19183, 39035, 18712, 16395, 16647, 21844, 16673, 18766, 20536, 34177, 16659, 16704, 16804, 16647, 17396, 16741, 16647, 21844, 16673, 17679, 34177, 16659, 16397, 16875, 16647, 18211, 16742, 26551, 16641, 34795, 16671, 16647, 27317, 18528, 16944, 20634, 16641, 23354, 17231, 16673, 28966, 24998, 16395, 16641, 27732, 19329, 21365, 16672, 19246, 16673, 17679, 34177, 16397, 16582, 16582, 17071, 16647, 18722, 19420, 16604, 16443, 16442, 16442, 16415, 16449, 16402, 16396, 16457, 16400, 16400, 16399, 16396, 16401, 16454, 18017, 16444, 16443, 16444, 16742, 23078, 16647, 43257, 39035, 18766, 21976, 16395, 16604, 16393, 16427, 16393, 16477, 16453, 16477, 16391, 16393, 23986, 16393, 16477, 16460, 16477, 16395, 16393, 23986, 16393, 16477, 16471, 16477, 16392, 16395, 16741, 16604, 16387, 16387, 16443, 18364, 16474, 20980, 16476, 16474, 16459, 16476, 16582, 16474, 16427, 16446, 16474, 16453, 16476, 16443, 19911, 16391, 16604, 16474, 16443, 23130, 16446, 16474, 16460, 16476, 16395, 16443, 23130, 16446, 16474, 16471, 16476, 16476, 16604, 16443, 18357, 16392, 16604, 16412, 16604, 16443, 19873, 16474, 16434, 16446, 16474, 16453, 16476, 16443, 19911, 16391, 16604, 16443, 23130, 16446, 16474, 16460, 16476, 16604, 16443, 18357, 16392, 16476, 16474, 16434, 16445, 16474, 16443, 32877, 16476, 16443, 19911, 16391, 16604, 16443, 23130, 16446, 16474, 16460, 16476, 16604, 16443, 18357, 16392, 16476, 16427, 16445, 16474, 16443, 32877, 16476, 16443, 19911, 16391, 16604, 16443, 23130, 16446, 16474, 16460, 16476, 16604, 16443, 18357, 16392, 16476, 16604, 16443, 16443, 16582, 16474, 16412, 16604, 16401, 16397, 16402, 46657, 16697, 16443, 19911, 16391, 16604, 16474, 16443, 23130, 16446, 16474, 16460, 16476, 16395, 16443, 23130, 16446, 16474, 16471, 16476, 16476, 16604, 16443, 18357, 16392, 16443, 29650, 16443, 19911, 16391, 16604, 16443, 23130, 16446, 16474, 16471, 16476, 16604, 16443, 18357, 16392, 16443, 33227, 16446, 16474, 16456, 16476, 16443, 19911, 16391, 16604, 16443, 23130, 16446, 16474, 16471, 16476, 16604, 16443, 18357, 16392, 16443, 26210, 16443, 23130, 16446, 16474, 16471, 16476, 16476, 16604, 16443, 16443, 16582, 16443, 16806, 16474, 20980, 16476, 16387, 16387, 16582, 16582, 16393, 23986, 16393, 16477, 16460, 16477, 16674, 16604, 16393, 23986, 16393, 16477, 16471, 16477, 16769, 16647, 32186, 16674, 54218, 59140, 16395, 16604, 16393, 16434, 16393, 16477, 16453, 16477, 16395, 16604, 16393, 16434, 16393, 29084, 16395, 16769, 23975, 25870, 16395, 16604, 16393, 16427, 16393, 29084, 16704, 16647, 39035, 18766, 21976, 16673, 16641, 21178, 19419, 16395, 16604, 16393, 16421, 16393, 16395, 16604, 16393, 16459, 16393, 16395, 16604, 16393, 16522, 16483, 16393, 16477, 16456, 16477, 16391, 16393, 23986, 16393, 16477, 16471, 16477, 16392, 16395, 16674, 38508, 16612, 16393, 23986, 16393, 16477, 16471, 16477, 16769, 23963, 24319, 16395, 16674, 16604, 16393, 16429, 16393, 16395, 16604, 16393, 16472, 16393, 16395, 16674, 16604, 16393, 21400, 16393, 16769, 22281, 21454, 16397, 16772, 30421, 16604, 16393, 16472, 16393, 16391, 16393, 23986, 16393, 16477, 16460, 16477, 16395, 16604, 16393, 23986, 16393, 16477, 16471, 16477, 16392, 30445, 16647, 38767, 18766, 20536, 34177, 16767, 36879, 16604, 16393, 23986, 16393, 16477, 16471, 16477, 16671, 16647, 48584, 18766, 20536, 34177, 16767, 36879, 16604, 16393, 23986, 16393, 16477, 16460, 16477, 16397, 16875, 16977, 18878, 16395, 16647, 18766, 20536, 34177, 16815, 43257, 16704, 16641, 28697, 16604, 16393, 16472, 16393, 16673, 16647, 38767, 18766, 20536, 34177, 16397, 16772, 18766, 20536, 34177, 16843, 16703, 29387, 16671, 16641, 49650, 17679, 34177, 16809, 45644, 16647, 18766, 20536, 34177, 16809, 16647, 18712, 16673, 16641, 18494, 49650, 16397, 23121, 16647, 30421, 16604, 16393, 16472, 16393, 16391, 16393, 23986, 16393, 16477, 16460, 16477, 16395, 16604, 16393, 23986, 16393, 16477, 16471, 16477, 16392, 16843, 16703, 29387, 17065, 16641, 24511, 17415, 43257, 49650, 17679, 34177, 16674, 38767, 49650, 17679, 34177, 16809, 19133, 19603, 16728, 16809, 16647, 21844, 16673, 16647, 26945, 59140, 16397, 16604, 16387, 16387, 16472, 16445, 16474, 16443, 32877, 16476, 16443, 19911, 16391, 16604, 16474, 16443, 23130, 16446, 16474, 16460, 16476, 16395, 16443, 23130, 16446, 16474, 16471, 16476, 16476, 16604, 16443, 18357, 16392, 16604, 16412, 16604, 16443, 19873, 16474, 16443, 23130, 16446, 16474, 16460, 16476, 16476, 16474, 16443, 23130, 16446, 16474, 16471, 16476, 16476, 16472, 16443, 19911, 16391, 16604, 16474, 16443, 23130, 16446, 16474, 16460, 16476, 16395, 16443, 23130, 16446, 16474, 16471, 16476, 16476, 16604, 16443, 18357, 16392, 16397, 16387, 16387, 16582, 16582, 16853, 30421, 16604, 16393, 16472, 16393, 29084, 16391, 16393, 23986, 16393, 16477, 16460, 16477, 16395, 16604, 16393, 23986, 16393, 16477, 16471, 16477, 16392, 16704, 47766, 28344, 17065, 16641, 28966, 24998, 16604, 16393, 33147, 16393, 16674, 16641, 43755, 20192, 49650, 32186, 17917, 16604, 16393, 16466, 16393, 29084, 16391, 16393, 23986, 16393, 16477, 16460, 16477, 16395, 16604, 16393, 23986, 16393, 16477, 16471, 16477, 16392, 16604, 16391, 16400, 16398, 37708, 16392, 16395, 17187, 16604, 16387, 16387, 16474, 16443, 16974, 16474, 16466, 16445, 16474, 16443, 32877, 16476, 16443, 19911, 16391, 16604, 16474, 16443, 23130, 16446, 16474, 16460, 16476, 16395, 16443, 23130, 16446, 16474, 16471, 16476, 16476, 16604, 16443, 18357, 16392, 16451, 16443, 23130, 16446, 16474, 16460, 16476, 16476, 16476, 16604, 16412, 16604, 16400, 16397, 16387, 16387, 16582, 16582, 34544, 16604, 16442, 49033, 16397, 16604, 16391, 16400, 16392, 16444, 16391, 16386, 34536, 16400, 16396, 16457, 16400, 16400, 16399, 16396, 16401, 16454, 18017, 16392, 16474, 18452, 16396, 18926, 16412, 16385, 20129, 16463, 16396, 47975, 16385, 16476, 16843, 16703, 55149, 16741, 16604, 16387, 16387, 16443, 19873, 16474, 16434, 16446, 16474, 16453, 16476, 16443, 19911, 16391, 16604, 16443, 23130, 16446, 16474, 16460, 16476, 16604, 16443, 18357, 16392, 16476, 16474, 16434, 16445, 16474, 16443, 32877, 16476, 16443, 19911, 16391, 16604, 16443, 23130, 16446, 16474, 16460, 16476, 16604, 16443, 18357, 16392, 16476, 16443, 19873, 16474, 16443, 23130, 16446, 16474, 16460, 16476, 16476, 16474, 16443, 23130, 16446, 16474, 16471, 16476, 16476, 16427, 16445, 16474, 16443, 32877, 16476, 16443, 19911, 16391, 16604, 16443, 23130, 16446, 16474, 16460, 16476, 16604, 16443, 18357, 16392, 16604, 16412, 16604, 16401, 16397, 16402, 46657, 16459, 16443, 22853, 16648, 16445, 16474, 16443, 32877, 16476, 16443, 19911, 16391, 16604, 16474, 16443, 23130, 16446, 16474, 16460, 16476, 16395, 16443, 23130, 16446, 16474, 16471, 16476, 16476, 16604, 16443, 18357, 16392, 16443, 29650, 16443, 19911, 16391, 16604, 16443, 23130, 16446, 16474, 16471, 16476, 16604, 16443, 18357, 16392, 16443, 33227, 16446, 16474, 16456, 16476, 16443, 19911, 16391, 16604, 16443, 23130, 16446, 16474, 16471, 16476, 16604, 16443, 18357, 16392, 16443, 26210, 16443, 23130, 16446, 16474, 16471, 16476, 16397, 16387, 16387, 16582, 16582, 45441, 17160, 17030, 16858, 32186, 59140, 20067, 16604, 16387, 16387, 16474, 16443, 16974, 16474, 16434, 16446, 16474, 16453, 16476, 16443, 19911, 16391, 16604, 16443, 23130, 16446, 16474, 16460, 16476, 16604, 16443, 18357, 16392, 16443, 19911, 16443, 16459, 22917, 16760, 16604, 16474, 16443, 19873, 16474, 16443, 23130, 16446, 16474, 16460, 16476, 16476, 16474, 16443, 23130, 16446, 16474, 16471, 16476, 16476, 16443, 19873, 16474, 16427, 16445, 16474, 16443, 32877, 16476, 16443, 19911, 16391, 16604, 16443, 23130, 16446, 16474, 16460, 16476, 16604, 16443, 18357, 16392, 16476, 16474, 16434, 16445, 16474, 16443, 32877, 16476, 16443, 19911, 16391, 16604, 16443, 23130, 16446, 16474, 16460, 16476, 16604, 16443, 18357, 16392, 16476, 16476, 16604, 16443, 18357, 16443, 16465, 22917, 16760, 16476, 16476, 16451, 16443, 23130, 16446, 16474, 16460, 16476, 16604, 16412, 16604, 16443, 28246, 16793, 16443, 22853, 16443, 29650, 16443, 19911, 16391, 16604, 16443, 23130, 16446, 16474, 16471, 16476, 16604, 16443, 18357, 16392, 16424, 16446, 16474, 16399, 16476, 16397, 16387, 16387, 16582, 16582, 16853, 17928, 16672, 16647, 27317, 18528, 24801, 16671, 16641, 34795, 16673, 16647, 39035, 32263, 17917, 18201, 16809, 16647, 17902, 16672, 51892, 16709, 16647, 17939, 18194, 16673, 16604, 16442, 49033, 16397, 16604, 16391, 16404, 16392, 16444, 16391, 16386, 34536, 16404, 16396, 16457, 16400, 16400, 16399, 16396, 16401, 16454, 18017, 16392, 16474, 18452, 16396, 18926, 16412, 16385, 20129, 16463, 16396, 47975, 16385, 16476, 16397, 16604, 16442, 49033, 16397, 16604, 16391, 16404, 16392, 16444, 16391, 16386, 34536, 16404, 16396, 16457, 16400, 16400, 16399, 16396, 16401, 16454, 18017, 16392, 16474, 18452, 16396, 18926, 16412, 16385, 20129, 16463, 16396, 47975, 16385, 16476, 17237, 16459, 17575, 16641, 18655, 26832, 16672, 25862, 16397, 16604, 16443, 16442, 16442, 16415, 16449, 16402, 16396, 16457, 16400, 16400, 16399, 16396, 16401, 16454, 18017, 16444, 16443, 16444, 16397, 16772, 17939, 18194, 16673, 16604, 16442, 49033, 16397, 16604, 16391, 16404, 16392, 16444, 16391, 16386, 34536, 16404, 16396, 16457, 16400, 16400, 16399, 16396, 16401, 16454, 18017, 16392, 16474, 18452, 16396, 18926, 16412, 16385, 20129, 16463, 16396, 47975, 16385, 16476, 16704, 17494, 59849, 16809, 24729, 16647, 25101, 21361, 16709, 16647, 23975, 43257, 32186, 26335, 16397, 16772, 21178, 19419, 17405, 16671, 51369, 16758, 16647, 37898, 36879, 19208, 16763, 16819, 57094, 17521, 16397, 16875, 17970, 16671, 34541, 16647, 19938, 18443, 16671, 46444, 16673, 16647, 43257, 32186, 16395, 16647 ]
[ 0, 38194, 16604, 16474, 16386, 16466, 16399, 16399, 16399, 16400, 16476, 16582, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16582, 16582, 16433, 18084, 23819, 20079, 16674, 16647, 59124, 16677, 27422, 16673, 20062, 20093, 20927, 38649, 16673, 23819, 27517, 16674, 19545, 32612, 16397, 16999, 16704, 23381, 16721, 16809, 16604, 16401, 16399, 16401, 16399, 25917, 24720, 16868, 18375, 16715, 16604, 16406, 16402, 16388, 16673, 16858, 25074, 16674, 16604, 16405, 16399, 16388, 16673, 16647, 19364, 27422, 16673, 20062, 16397, 16445, 16442, 16415, 16418, 18317, 16399, 16399, 16399, 16400, 16444, 16445, 16772, 20299, 27422, 16673, 25917, 24720, 16704, 60558, 16647, 31473, 16673, 23819, 19258, 16397, 16875, 16604, 16401, 16399, 16399, 16408, 16395, 16647, 18671, 19218, 27134, 21568, 17047, 16674, 17418, 16396, 17529, 16831, 17552, 16767, 16647, 23001, 16673, 17730, 17534, 16397, 16445, 16442, 16415, 16418, 18317, 16399, 16399, 16399, 16401, 16444, 16445, 44188, 25954, 16671, 28036, 17730, 19258, 16674, 19077, 17730, 25178, 17208, 18314, 16804, 17097, 16709, 21975, 16674, 28073, 22797, 16850, 17027, 16647, 19397, 18019, 16674, 17650, 16673, 17534, 16809, 30742, 19696, 18365, 16671, 16703, 22009, 16715, 17985, 16396, 33359, 18741, 17730, 17534, 16397, 16582, 16582, 16853, 18764, 21793, 16604, 16391, 21218, 16392, 23819, 17434, 16872, 23373, 16641, 18472, 16673, 18166, 22735, 16721, 19497, 20618, 23819, 16604, 16391, 29049, 16418, 16392, 16691, 16396, 54745, 16674, 23643, 16673, 16641, 18982, 17730, 20597, 16604, 16391, 16429, 41309, 16392, 16397, 16772, 28773, 17995, 16872, 22486, 19302, 16671, 25031, 16739, 29962, 16395, 16647, 22039, 29944, 16673, 28773, 20991, 17730, 18373, 16397, 16445, 16442, 16415, 16418, 18317, 16399, 16399, 16399, 16402, 16444, 16445, 18916, 16604, 16401, 16400, 17202, 16673, 30487, 31015, 16395, 19800, 16739, 29962, 21726, 16674, 16977, 22021, 16671, 51247, 16647, 17810, 36541, 16673, 64300, 22073, 16674, 22202, 16395, 16986, 16704, 30046, 19039, 16721, 26109, 17730, 25178, 16769, 16804, 17255, 24086, 16674, 16721, 27228, 31947, 17186, 16672, 17730, 20584, 16674, 18291, 16671, 18373, 19072, 16397, 16445, 16442, 16415, 16418, 18317, 16399, 16399, 16399, 16403, 16444, 16395, 16442, 16415, 16418, 18317, 16399, 16399, 16399, 16404, 16444, 16445, 16875, 21994, 29598, 16604, 16391, 16877, 16673, 22394, 38847, 16392, 16395, 16986, 16769, 27927, 16671, 19077, 16647, 18950, 16673, 20618, 17534, 16672, 18089, 16734, 16647, 53134, 19542, 16673, 19218, 16390, 16466, 34084, 16604, 16401, 16399, 16402, 16399, 16397, 16999, 19497, 16641, 23468, 16671, 23247, 16647, 18314, 16815, 24202, 16671, 39557, 16674, 16815, 20475, 17534, 16671, 17418, 16396, 17529, 16831, 17534, 16674, 24761, 21640, 16397, 16445, 16442, 16415, 16418, 18317, 16399, 16399, 16399, 16405, 16444, 16445, 17170, 23247, 29675, 18650, 19029, 16672, 19395, 16674, 16868, 18616, 16691, 58981, 16673, 19337, 16395, 21903, 19545, 16395, 62367, 19083, 16674, 22515, 36030, 16397, 27144, 17208, 17027, 16703, 18201, 16671, 16647, 17262, 16673, 20239, 16671, 23765, 34519, 16674, 39576, 16672, 16647, 20695, 16674, 23643, 16673, 16914, 17730, 17534, 16741, 33014, 41129, 16672, 16604, 16400, 16408, 16406, 16407, 16672, 16647, 41504, 16673, 17385, 17847, 16396, 16416, 18876, 16395, 16715, 18185, 16395, 17181, 16739, 29962, 61336, 33540, 16397, 16445, 16442, 16415, 16418, 18317, 16399, 16399, 16399, 16406, 16444, 16445, 16582, 16582, 44644, 17730, 25178, 16395, 21999, 20079, 16674, 21999, 31947, 16798, 16769, 18493, 16647, 18466, 16673, 16667, 25119, 16395, 17726, 16834, 28292, 17730, 17434, 16721, 34868, 19397, 18291, 16671, 21025, 18365, 16671, 16703, 22009, 16715, 17985, 16396, 33359, 16739, 29962, 16395, 16674, 16709, 16944, 18980, 16843, 16703, 23975, 16397, 16445, 16442, 16415, 16418, 18317, 16399, 16399, 16399, 16407, 16444, 16395, 16442, 16415, 16418, 18317, 16399, 16399, 16399, 16408, 16444, 16395, 16442, 16415, 16418, 18317, 16399, 16399, 16400, 16399, 16444, 16395, 16442, 16415, 16418, 18317, 16399, 16399, 16400, 16400, 16444, 16445, 16772, 33977, 21621, 34764, 38303, 16604, 16391, 21805, 17841, 16392, 16704, 16641, 43117, 23963, 16445, 16442, 16415, 16418, 18317, 16399, 16399, 16400, 16401, 16444, 16445, 17405, 16672, 21625, 16674, 20140, 40262, 32356, 16671, 21349, 16647, 23614, 16671, 16944, 16739, 29962, 16704, 35941, 16734, 16647, 19591, 16715, 17985, 16396, 33359, 17534, 18138, 16709, 20239, 16390, 18291, 16671, 16395, 16674, 21939, 21085, 16672, 16914, 17534, 16395, 16673, 17213, 22009, 19696, 16604, 16391, 19468, 18025, 16392, 16604, 16396, 16396, 30807, 17092, 19047, 18291, 16604, 16391, 16928, 16641, 20618, 17534, 42601, 16392, 16410, 24036, 17534, 16604, 16391, 18701, 17194, 40212, 16392, 16410, 24632, 17534, 16410, 39767, 17534, 16410, 17797, 16396, 16674, 18205, 16396, 29419, 16895, 17534, 16674, 22122, 44654, 16397, 18708, 16769, 17027, 18365, 16741, 16647, 24404, 16673, 17797, 24139, 16944, 16769, 31995, 16672, 20618, 17534, 16674, 17797, 29397, 19115, 16672, 18764, 20952, 16397, 32652, 16734, 23643, 16673, 16647, 37651, 16424, 16674, 35978, 32858, 16395, 16873, 18288, 28773, 16734, 16641, 18650, 19560, 16671, 29727, 16739, 29962, 16734, 19591, 16672, 23244, 16673, 24632, 16395, 17418, 16396, 17529, 16831, 20618, 17534, 16397, 16711, 32320, 20165, 16673, 16739, 29962, 18980, 16674, 27517, 16709, 17213, 35057, 17120, 17261, 16671, 22047, 33047, 16674, 16977, 32858, 19421, 16671, 17007, 18625, 23429, 16395, 16674, 16671, 21619, 19032, 16397, 16582, 16582, 17635, 18077, 29675, 16641, 22962, 17415, 18224, 24869, 16604, 16391, 43543, 29598, 53134, 21599, 19218, 21354, 16392, 16674, 16641, 56221, 19091, 26238, 16604, 16391, 64046, 16673, 22714, 25267, 16395, 18059, 16673, 29598, 22804, 16392, 16671, 17564, 20849, 16671, 19077, 20618, 17534, 16672, 16647, 21994, 29598, 36409, 16397, 16772, 17736, 20380, 16673, 16647, 18077, 16763, 16671, 19646, 16641, 32320, 20165, 16673, 18980, 16674, 27517, 16767, 24632, 20618, 17534, 22288, 16604, 16391, 21805, 35945, 16392, 16809, 28845, 20239, 16390, 18019, 16674, 26074, 16390, 16674, 34672, 16390, 35255, 16673, 20618, 17534, 16397, 19139, 25569, 19441, 20239, 16395, 24869, 16604, 16391, 39943, 17019, 16756, 16392, 16674, 26074, 16395, 16647, 18077, 26498, 16671, 21349, 34448, 17415, 20239, 16390, 18019, 16673, 20618, 17534, 16674, 26109, 18980, 16709, 16647, 49721, 23013, 22009, 20618, 17534, 35057, 16674, 16671, 21986, 17310, 16721, 17109, 38651, 16674, 29727, 16661, 16734, 19591, 16396, 19338, 17534, 16674, 16734, 35978, 16674, 18982, 17730, 19984, 16397, 26282, 28480, 19618, 28845, 16647, 36473, 23487, 16673, 20618, 17534, 20239, 16672, 23972, 16674, 24885, 29709, 16410, 30742, 18980, 16709, 16604, 16400, 16400, 20618, 17534, 35057, 16674, 17242, 19468, 18025, 16395, 16674, 16641, 18804, 20618, 17534, 21228, 16672, 21578, 17730, 29709, 16672, 21994, 29598, 16410, 30191, 19397, 21675, 16673, 17534, 16809, 36473, 25625, 16410, 30191, 16674, 30163, 20618, 17534, 19397, 16395, 42601, 16674, 21347, 35255, 16604, 16391, 17651, 18896, 16392, 16410, 30163, 24020, 16395, 17242, 34986, 16674, 18804, 20618, 17534, 24958, 17415, 29709, 16410, 16674, 23673, 16647, 17736, 23806, 16671, 16739, 29962, 16647, 19397, 16395, 42601, 16674, 21347, 31147, 16397, 16582, 16582, 17071, 16604, 16401, 16399, 16400, 16400, 16395, 29598, 22804, 16955, 16641, 19971, 16673, 22051, 16604, 16402, 16604, 16407, 16400, 16399, 16604, 16399, 16399, 16399, 16410, 16604, 16406, 16402, 16397, 16399, 16388, 16958, 16819, 54221, 16674, 27158, 19028, 16647, 17726, 21448, 16395, 16674, 16647, 29598, 23840, 16744, 18376, 20991, 16604, 16391, 16418, 39465, 16392, 16955, 16641, 19971, 16673, 22051, 16604, 16406, 16405, 16407, 16604, 16402, 16399, 16399, 16410, 16604, 16406, 16406, 16397, 16399, 16388, 16958, 16819, 54221, 16674, 27158, 16709, 16647, 17726, 21448, 16397, 16772, 18122, 16819, 54221, 28167, 16673, 16647, 19971, 25476, 26427, 16647, 59124, 16677, 27422, 16673, 20062, 19863, 16647, 17726, 21448, 16395, 16721, 16704, 16395, 38598, 24720, 16604, 16391, 25784, 17486, 30174, 16674, 22221, 56099, 16392, 16395, 38504, 17225, 16674, 25917, 24720, 16395, 24707, 16674, 26214, 16396, 21670, 24720, 16397, 40504, 21085, 20627, 16674, 20741, 20475, 27286, 16767, 21195, 35945, 16958, 16604, 16402, 16397, 16406, 16398, 16400, 16399, 16604, 16403, 16400, 16404, 16604, 16399, 16404, 16401, 16604, 16391, 16418, 18384, 22804, 16392, 16674, 16604, 16402, 16397, 16403, 16398, 16400, 16604, 16408, 16406, 16407, 16604, 16401, 16407, 16401, 16604, 16391, 16418, 39465, 16392, 16397, 16445, 16442, 16415, 16418, 18317, 16399, 16399, 16400, 16402, 16444, 16445, 16582, 16582, 16853, 33998, 22546, 16647, 17092, 18764, 21793, 21195, 17841, 18077, 16604, 16391, 16720, 39934, 16392, 16672, 17142, 29598, 22804, 45797, 17242, 16396, 29715, 18391, 16466, 16604, 16391, 44302, 23972, 21195, 35945, 16392, 16672, 16604, 16401, 16399, 16400, 16400, 16397, 17170, 17711, 18077, 16763, 22546, 16672, 23972, 16674, 24885, 21195, 35945, 16604, 16396, 16396, 16672, 16647, 23063, 18817, 16673, 16647, 20545, 17242, 16396, 29715, 18391, 16466, 16672, 29598, 22804, 16604, 16391, 54394, 16604, 16412, 21994, 16395, 25529, 16604, 16412, 25988, 16708, 16744, 16654, 36590, 16674, 24795, 16604, 16412, 25484, 17450, 20434, 16392, 16674, 17910, 16673, 16647, 18514, 17242, 16396, 29715, 18391, 16466, 16672, 16647, 16719, 39465, 16397, 17958, 21195, 35945, 23954, 16769, 24632, 16739, 29962, 22288, 16672, 16647, 35978, 17730, 21648, 16397, 16582, 16582, 31181, 16647, 18019, 25830, 16674, 25664, 20816, 16672, 16647, 16604, 16401, 16399, 16400, 16400, 18077, 16672, 16944, 16647, 26961, 16604, 16391, 16420, 16392, 21497, 16673, 16647, 19170, 21119, 21195, 17841, 62178, 16958, 17405, 16604, 16396, 16396, 22739, 26961, 16604, 16391, 30035, 16392, 16395, 23841, 16604, 16391, 39943, 17019, 16646, 16392, 26961, 16604, 16391, 23054, 16392, 16674, 22787, 21347, 26961, 16604, 16391, 31705, 16392, 16604, 16396, 16396, 16641, 19532, 16396, 42091, 32383, 16674, 33612, 16673, 16647, 19170, 26961, 19288, 16763, 22546, 16674, 16647, 26961, 18764, 21793, 17565, 16416, 21195, 17841, 21047, 16715, 17231, 16672, 16811, 18077, 16397, 16772, 33612, 18197, 16395, 19014, 16674, 24020, 35083, 16673, 16647, 17565, 16416, 21195, 17841, 16769, 20101, 16672, 16667, 20124, 19420, 16397, 16445, 16442, 16415, 16418, 18317, 16399, 16399, 16400, 16403, 16444, 16445, 16875, 25698, 16395, 16641, 22332, 16673, 16647, 18492, 33612, 16395, 20842, 22853, 16674, 48006, 17585, 24291, 20625, 16763, 17405, 16734, 17142, 21381, 29597, 16671, 20449, 26954, 16709, 16647, 37024, 16673, 21195, 17841, 35057, 16674, 16914, 20696, 16604, 16391, 34986, 19126, 16392, 16715, 17231, 16672, 28773, 16397, 19921, 22893, 16672, 23244, 16673, 30080, 16763, 24086, 16715, 16858, 16604, 16408, 35057, 16397, 18483, 17009, 24020, 16395, 16647, 16739, 29962, 17562, 16395, 16763, 18973, 16397, 19525, 16647, 19170, 16604, 16408, 16404, 20696, 16395, 16604, 16402, 24086, 16604, 16443, 16411, 16604, 16406, 16399, 16388, 21294, 16674, 16958, 33553, 16410, 16604, 16400, 16408, 17009, 20696, 16958, 18973, 16410, 16641, 17589, 20696, 18964, 16691, 17057, 16465, 18674, 16715, 18070, 49301, 16410, 16647, 36473, 19648, 16763, 31336, 16715, 18070, 42564, 16396, 42833, 19527, 16410, 16674, 16704, 16456, 16439, 16455, 23091, 16674, 18709, 40669, 16890, 45991, 16673, 16647, 17565, 16416, 21195, 17841, 16958, 20140, 16397, 16582, 16582, 24719, 16604, 16474, 16386, 16466, 16399, 16399, 16399, 16401, 16476, 16582, 16412, 16412, 16412, 16412, 16412, 16412, 16582, 16582, 17635, 16763, 16641, 18180, 16967, 17003, 19532, 16396, 50951, 18077, 16673, 20618, 17534, 20239, 16395, 34672, 16674, 26074, 16672, 18817, 16673, 20545, 23972, 16674, 16398, 16658, 61252, 16396, 22512, 16674, 17910, 16673, 18514, 24885, 17242, 16396, 29715, 18391, 16466, 16672, 29598, 22804, 16674, 16719, 39465, 16395, 22358, 16397, 16772, 23063, 23972, 17242, 16396, 29715, 18391, 16466, 16958, 23954, 16672, 16641, 25805, 18077, 16672, 16604, 16401, 16399, 16400, 16400, 16397, 16772, 16604, 16403, 24885, 17242, 16396, 29715, 18391, 16466, 16958, 19570, 16809, 16719, 39465, 19083, 16741, 34725, 25923, 16673, 16647, 18456, 20991, 16410, 17789, 16858, 18514, 24885, 29709, 16672, 16647, 27322, 16763, 20371, 16647, 21672, 16673, 17038, 18077, 20882, 16397, 16582, 16582, 17071, 17492, 29598, 22804, 20607, 21362, 16395, 21195, 35945, 16958, 39138, 17886, 17065, 18122, 16395, 22767, 16674, 17785, 35087, 16741, 21487, 16809, 19397, 27286, 16972, 17634, 16671, 20303, 25521, 16715, 19101, 16410, 20994, 18626, 16604, 16391, 16401, 16403, 16678, 16674, 16604, 16407, 16678, 16392, 16410, 16674, 16647, 16604, 16402, 17736, 26348, 27462, 16395, 16721, 16704, 16395, 16721, 36473, 25627, 16763, 29418, 18325, 16647, 37022, 22281, 16397, 18483, 21195, 16421, 16763, 21578, 16815, 17492, 39138, 16768, 16672, 25097, 16734, 20991, 26074, 16397, 16875, 16647, 16719, 39465, 16395, 16647, 20770, 21195, 16421, 16672, 17492, 16673, 16647, 16604, 16403, 17242, 16396, 29715, 18391, 16466, 16763, 19618, 17172, 16873, 17514, 29418, 19397, 16674, 19337, 25627, 16395, 16674, 16647, 18898, 16673, 16739, 29962, 18373, 21035, 16672, 16719, 39465, 21195, 35945, 16395, 16721, 16704, 16395, 17655, 28518, 32696, 16395, 16604, 16400, 16402, 21195, 35945, 26211, 16604, 16405, 23972, 16674, 16398, 16658, 61252, 16396, 22512, 16674, 16604, 16403, 24885, 17242, 16396, 29715, 18391, 16466, 16958, 19618, 16672, 16647, 22281, 16397, 16772, 24637, 22021, 16769, 18980, 24958, 16709, 16604, 16400, 16400, 18474, 21025, 16604, 16391, 19541, 19468, 18025, 16392, 16673, 20618, 17534, 16674, 18804, 20618, 17534, 21228, 16397, 16582, 16582, 16853, 19397, 22281, 19101, 33051, 16763, 18138, 16709, 20618, 17534, 22021, 26552, 16815, 16641, 18722, 21195, 17841, 18077, 16604, 16391, 16401, 16399, 16400, 16400, 16392, 16734, 16667, 23381, 17881, 18804, 20618, 17534, 21228, 17415, 16604, 16401, 21195, 35945, 16673, 16604, 16401, 16397, 16404, 16674, 16604, 16401, 16397, 16408, 16734, 16641, 19749, 39660, 16673, 16604, 16399, 16397, 16407, 16397, 16772, 22250, 22281, 19101, 19062, 16972, 21195, 16421, 16763, 16604, 16407, 16404, 16604, 16391, 19766, 16604, 16412, 16604, 16399, 16397, 16399 ]
[ 0, 16421, 18292, 29192, 20875, 20942, 16896, 17022, 41742, 17193, 16454, 20942, 20565, 26232, 17701, 16710, 39737, 33260, 16737, 29506, 16715, 31543, 17533, 16396, 26323, 16648, 17442, 21441, 17246, 27982, 63534, 25338, 16604, 16391, 17756, 20739, 17805, 16392, 16604, 16582, 21307, 50707, 16582, 16429, 27976, 19424, 36667, 16467, 29506, 16670, 18780, 16995, 31943, 18195, 17091, 27976, 62553, 17136, 26232, 28779, 17735, 49620, 16867, 16715, 61389, 17738, 17079, 25473, 21829, 17809, 16644, 18905, 16665, 26323, 17544, 42608, 17450, 25981, 19686, 17503, 20565, 25473, 16715, 21196, 16750, 27823, 38884, 16396, 20675, 16459, 18395, 17499, 26323, 16778, 20942, 16451, 17499, 19715, 19965, 16821, 25473, 20798, 16995, 17136, 26232, 16662, 18292, 29192, 20875, 20942, 16896, 17022, 41742, 17193, 16454, 20942, 20565, 26232, 17701, 16710, 17021, 16682, 20490, 16452, 16809, 16454, 16840, 16396, 26323, 16667, 16459, 27976, 18192, 16396, 16395, 16776, 16953, 16879, 16458, 24527, 17735, 16396, 26323, 16640, 30560, 29378, 18802, 17615, 35497, 17215, 33260, 16737, 29506, 16715, 31543, 17533, 16396, 26323, 16648, 17442, 21441, 17246, 27982, 63534, 25338, 16604, 16396, 16719, 16405, 16396, 16399, 16403, 16405, 16406, 16398, 16401, 16399, 16399, 16406, 16604, 16396, 16397, 16582, 51378, 22668, 16453, 28779, 17735, 49620, 16867, 16582, 16423, 16465, 16397, 17510, 16770, 16395, 21583, 18696, 16646, 26323, 16968, 20807, 16384, 16687, 16733, 16677, 18361, 17982, 20213, 17561, 16715, 17990, 16500, 16457, 17964, 29959, 22640, 16604, 16400, 16402, 21949, 16396, 19693, 16646, 16395, 17275, 18195, 17425, 27823, 16767, 17665, 24088, 16662, 16831, 26323, 36691, 22413, 16688, 16397, 30310, 21136, 16646, 18195, 20716, 60690, 26232, 21196, 28885, 16688, 16397, 16687, 16947, 16840, 26232, 16952, 16710, 21361, 16646, 24402, 17043, 16776, 27976, 25800, 26953, 16726, 20593, 21441, 21019, 16776, 18896, 17425, 16677, 17413, 16684, 17105, 16395, 16673, 16820, 20798, 19043, 17425, 18139, 18823, 16395, 17193, 17226, 64524, 30603, 21618, 18114, 16457, 24527, 16646, 16397, 20586, 56973, 16716, 41742, 17561, 20716, 16395, 16767, 17684, 16726, 16705, 16716, 17393, 16659, 16947, 16840, 18923, 17741, 21618, 16726, 21838, 17226, 18361, 17982, 16395, 26323, 16767, 65464, 17977, 39182, 18192, 21835, 29506, 21949, 16396, 19595, 20700, 17226, 19440, 18139, 17442, 60307, 17574, 20490, 19379, 19596, 16953, 16644, 16726, 21357, 17291, 39537, 16896, 16395, 26323, 17561, 41742, 17087, 16469, 62642, 16644, 16653, 18192, 20942, 16395, 16767, 17561, 26217, 16463, 27976, 23378, 16673, 16820, 53725, 34802, 37290, 16453, 24527, 16644, 16776, 18896, 21136, 16646, 29506, 18214, 16669, 20942, 17094, 16395, 17561, 16691, 18030, 20481, 17094, 16395, 17425, 17438, 19741, 19424, 37290, 16684, 20593, 26323, 29506, 16901, 62870, 18558, 26323, 20706, 18202, 62053, 17979, 20490, 16669, 20942, 17094, 16397, 21829, 17665, 16666, 17561, 16807, 17990, 16483, 19566, 18413, 29506, 16395, 16715, 24337, 17438, 24050, 24091, 17561, 16776, 18896, 19425, 17105, 26323, 18139, 16949, 16688, 16457, 27653, 16395, 17684, 17637, 16467, 19340, 17226, 21361, 16646, 17226, 16733, 16677, 18361, 17982, 16397, 23197, 17561, 18195, 32060, 16467, 21019, 16669, 20942, 17901, 16397, 16582, 18543, 26232, 17062, 17645, 17416, 16968, 17800, 18195, 16776, 18896, 17387, 38360, 18731, 16452, 16715, 31543, 17533, 16823, 16684, 20593, 16397, 16965, 18896, 16604, 16401, 16406, 17425, 16677, 17413, 16684, 17105, 20213, 16604, 16407, 16408, 16715, 48425, 20427, 16452, 16395, 26093, 22138, 16695, 17000, 16699, 29540, 30656, 24288, 16452, 16715, 19013, 33956, 33637, 17043, 16397, 21119, 20213, 46640, 16604, 16401, 16408, 16397, 23452, 18195, 23035, 16715, 34424, 16467, 20798, 16668, 17100, 16457, 17094, 16669, 22126, 16460, 17425, 16677, 17413, 16684, 17105, 17022, 17226, 16715, 28153, 20565, 17425, 17306, 19965, 16823, 46879, 17805, 16397, 16702, 20942, 16458, 18981, 16820, 23291, 22126, 34229, 16770, 24527, 20807, 18173, 18178, 27976, 16458, 22637, 16662, 18292, 16715, 35863, 22640, 20759, 17019, 22126, 16395, 18102, 16669, 20942, 48425, 19741, 16644, 34229, 16770, 24527, 20807, 16395, 26323, 17438, 18195, 17438, 16395, 17561, 17665, 16666, 16807, 38873, 16688, 25473, 29506, 16397, 16582, 16437, 28234, 26323, 16640, 30560, 29378, 18802, 17615, 16646, 27823, 16901, 16776, 27976, 20720, 16456, 26232, 25473, 16458, 17161, 16604, 16408, 16400, 16669, 16915, 16397, 42030, 16667, 19013, 18245, 16659, 16678, 18872, 64303, 29506, 17438, 26217, 16463, 27976, 57733, 25016, 16715, 16715, 31543, 17533, 16823, 16684, 20593, 16397, 19079, 18404, 18195, 46640, 16604, 16400, 16402, 16604, 16388, 25473, 16453, 17676, 16688, 26232, 26217, 16463, 27976, 57733, 37290, 40142, 16397, 19716, 16454, 16669, 20942, 17087, 16469, 62642, 16644, 27823, 16453, 24527, 19408, 16395, 16767, 17438, 18923, 29994, 21618, 18247, 16395, 17684, 18195, 16686, 21838, 16684, 29506, 21573, 16395, 18195, 16700, 17129, 16458, 17373, 17425, 25473, 16458, 17161, 16604, 16401, 16604, 16388, 16397, 44477, 16649, 16688, 18195, 16395, 16767, 17438, 17193, 16644, 25016, 16715, 16715, 31543, 17533, 31584, 16458, 16737, 53725, 17174, 16840, 20807, 16397, 16727, 17234, 16776, 29540, 21618, 24787, 16646, 17226, 18214, 17022, 16678, 24527, 16457, 16820, 29639, 17207, 57733, 18269, 16755, 34802, 53725, 37290, 18788, 17503, 16659, 16395, 16776, 18896, 16776, 27976, 25800, 26953, 21333, 21822, 16662, 37777, 53725, 17438, 19741, 19424, 37290, 16684, 20593, 16395, 26323, 17665, 61058, 16472, 16896, 18929, 16664, 20051, 16695, 37777, 27823, 17020, 23595, 16397, 21829, 17091, 16472, 16896, 16395, 16767, 16678, 24527, 50808, 16823, 46879, 17400, 16452, 16715, 31543, 17533, 31584, 16458, 16737, 16660, 30325, 41063, 16644, 16644, 26323, 41063, 16644, 16644, 16395, 20798, 56973, 16716, 17425, 16767, 16715, 31543, 17533, 57168, 52942, 18195, 17438, 20798, 17484, 55614, 17291, 16905, 21033, 16791, 16397, 16687, 18214, 17022, 19580, 18195, 17438, 36122, 16808, 16395, 16678, 16469, 16705, 17438, 37265, 25473, 16397, 21829, 37265, 53725, 25473, 23859, 16644, 37290, 16454, 46847, 27823, 16776, 20942, 20379, 16395, 18102, 25473, 16767, 33690, 16840, 16774, 16693, 17130, 31433, 16826, 17094, 19712, 17976, 29506, 16901, 16822, 16857, 56229, 16669, 20942, 17094, 16397, 21829, 18195, 17438, 16395, 17561, 17665, 16666, 16695, 24527, 16644, 16397, 21829, 24050, 24091, 17561, 17665, 61058, 16472, 16896, 17022, 16397, 16582, 27038, 17756, 17387, 19838, 60690, 65369, 18395, 16688, 17226, 16901, 17091, 27976, 62553, 17136, 21019, 16604, 16401, 16399, 16399, 16404, 31130, 19693, 16652, 27823, 16767, 16662, 18292, 16459, 27976, 16454, 16840, 17605, 19715, 19965, 16821, 16715, 18214, 17022, 16783, 47030, 16397, 21829, 20213, 18214, 16653, 18192, 20942, 54450, 16800, 17425, 16640, 19952, 16459, 16698, 17136, 21019, 16660, 20942, 17094, 65369, 18395, 16688, 26323, 16778, 20942, 25338, 16397, 21829, 22602, 16776, 29540, 29540, 16715, 25667, 16395, 26323, 32247, 39415, 16659, 16715, 40048, 17275, 20723, 16453, 24527, 20807, 16395, 16767, 17116, 27976, 16466, 17200, 58341, 47407, 37290, 21592, 16458, 30603, 29540, 16686, 27976, 16469, 35056, 25016, 16688, 16715, 26217, 16463, 27976, 18202, 16715, 31543, 17533, 16823, 16684, 20593, 17226, 22396, 28436, 25473, 35013, 17912, 60672, 16715, 17438, 17619, 16890, 16749, 17510, 18376, 16458, 16775, 16397, 16759, 17166, 16665, 22602, 17438, 36122, 16808, 16395, 16767, 65369, 18395, 16688, 16395, 16778, 20942, 25338, 26323, 31130, 19693, 16652, 17665, 54276, 16918, 17100, 16457, 17094, 20798, 19043, 25473, 18214, 17022, 18173, 25847, 16452, 17193, 16466, 17876, 16397, 16711, 17085, 42235, 41742, 16662, 39182, 19424, 17100, 20739, 59433, 18195, 17605, 17539, 16649, 26232, 18214, 17022, 16662, 27976, 47309, 18139, 57733, 47121, 19408, 16397, 16687, 16669, 42074, 47121, 17561, 16395, 16715, 16455, 20942, 56357, 20490, 20798, 19043, 16395, 16685, 27976, 16454, 16840, 17062, 17645, 24666, 16652, 27823, 16686, 19015, 16686, 22196, 26217, 16463, 27976, 57733, 16862, 16469, 19448, 17043, 16395, 17275, 47121, 16648, 17442, 16644, 16901, 56053, 35564, 16449, 17136, 26232, 17438, 16820, 25016, 26323, 16726, 39182, 16644, 16695, 17846, 18927, 29540, 36953, 26323, 26550, 46409, 17643, 17226, 17193, 16458, 24527, 17735, 17491, 17173, 44987, 16397, 16582, 50343, 17665, 16666, 16653, 18192, 20942, 16783, 29506, 17438, 16820, 19715, 19965, 16821, 17226, 18214, 17022, 20798, 19043, 16455, 27976, 17284, 16397, 16687, 16774, 19054, 16662, 17442, 17561, 41742, 26503, 16688, 19715, 19965, 16821, 16688, 25473, 17030, 16453, 39182, 17084, 26232, 16715, 31543, 17533, 31584, 16458, 16737, 17193, 16652, 16715, 16773, 27976, 16683, 16782, 16458, 22975, 16397, 21829, 19715, 19965, 16821, 16395, 17561, 17983, 24527, 17051, 17226, 38652, 16395, 16767, 18214, 16686, 27976, 16684, 16469, 29540, 16716, 19424, 16809, 17493, 16765, 16652, 17226, 18214, 26217, 16463, 27976, 57733, 16715, 31543, 17533, 16823, 16684, 20593, 17977, 16844, 16749, 16397, 21352, 24527, 22820, 16774, 16671, 19715, 19965, 18170, 17226, 16939, 16658, 19100, 17174, 16840, 20807, 18923, 18404, 16455, 27976, 17284, 29540, 26232, 47310, 50707, 16395, 17665, 16666, 16774, 17226, 22770, 17130, 16656, 32996, 17131, 28865, 16397, 21829, 18195, 17062, 33920, 27823, 16395, 16767, 17438, 18195, 47162, 16776, 29540, 29540, 16767, 16662, 20942, 26232, 21196, 28885, 16688, 16776, 18896, 16918, 17100, 16457, 17094, 25473, 16715, 31543, 17533, 16823, 16684, 20593, 17977, 16844, 19626, 17226, 16669, 42074, 16397, 21829, 47121, 53725, 24623, 23378, 25016, 16688, 21019, 38652, 27823, 16674, 16652, 16395, 17438, 18195, 36122, 16808, 16395, 18102, 17438, 18195, 17605, 16776, 29540, 29540, 17665, 22873, 16467, 17226, 18214, 24614, 16467, 21618, 18236, 17136, 16395, 26323, 17438, 47121, 16776, 27976, 16644, 17605, 16726, 16800, 18382, 17413, 16458, 22873, 16467, 16715, 26217, 16463, 27976, 18202, 16648, 17442, 21441, 17246, 16466, 16396, 26323, 16715, 31543, 17533, 31444, 17442, 16397, 16582, 16425, 21267, 47121, 32912, 17022, 28350, 16749, 21583, 48338, 16677, 17450, 16395, 24050, 16454, 16840, 16995, 16453, 24527, 20807, 17022, 31006, 61878, 16756, 24548, 18128, 16753, 16395, 31037, 17119, 21761, 26323, 16796, 16656, 23241, 16908, 55800, 31386, 16395, 16715, 16774, 16791, 23035, 16699, 39893, 16744, 21618, 16395, 26093, 22138, 16822, 32482, 16749, 16395, 18102, 23035, 16699, 26550, 36699, 19965, 16802, 20798, 16668, 17100, 16457, 17094, 16397, 19716, 16454, 47121, 16653, 18192, 20942, 28350, 16749, 16778, 20942, 25338, 26323, 31130, 19693, 16652, 16397, 45748, 17637, 16467, 16898, 16644, 20213, 37290, 16469, 16771, 16901, 40306, 20876, 20490, 17364, 42450, 26232, 18139, 18202, 47121, 19408, 16395, 20005, 44923, 26323, 24402, 31024, 16656, 45635, 19408, 16397, 16582, 50343, 24050, 24091, 16776, 18896, 16660, 19760, 16644, 16767, 16662, 24527, 16644, 16901, 26550, 36699, 19965, 16821, 18139, 17442, 16715, 38884, 16397, 19716, 16454, 16678, 20942, 16885, 16395, 16767, 17561, 20798, 19043, 34802, 17387, 39009, 16753, 16452, 18214, 17022, 16715, 16938, 29540, 20565, 17226, 16669, 42074, 17425, 41742, 26503, 64799, 26232, 18214, 17022, 50985, 16749, 16397, 17544, 17990, 16500, 16469, 23135, 16467, 20481, 17094, 17561, 16807, 18214, 17022, 16715, 20739, 17805, 17226, 25042, 16471, 49648, 26323, 53725, 17226, 65328, 40186, 16397, 16582, 49036, 23843, 17025, 23305, 16582, 17801, 22518, 26232, 31130, 19693, 16652, 16397, 16604, 16396, 16604, 16391, 18144, 16392, 16751, 16465, 16397, 17510, 16770, 16384, 16773, 39182, 16684, 47121, 19630, 16454, 16819, 17388, 19686, 16753, 16452, 16395, 16767, 19630, 16454, 53725, 34802, 28436, 16648, 62642, 20490, 16678, 24527, 50808, 16395, 18102, 19630, 16454, 18195, 16848, 17079, 42534, 24527, 17901, 16397, 16582, 19577, 17665, 16666, 26628, 27100, 17484, 25473, 17605, 16715, 21196, 16750, 27823, 17605, 19715, 19965, 16821, 25473, 16667, 19013, 18245, 20565, 26232, 16715, 31543, 17533, 16396, 26323, 16648, 17442, 21441, 17246, 16466, 16823, 16684, 20593, 16395, 17275, 31130, 19693, 16652, 16662, 18292, 30745, 17094, 17226, 16774, 19054, 16604, 16401, 16399, 16399, 16406, 17275, 19684, 17226, 18214, 47162, 16458, 18981, 16820, 16604, 16385, 61826, 47530, 16463, 16844, 16749, 16385, 16397, 50247, 30745, 16688, 18195, 17605, 16726, 16800, 17665, 22873, 16467, 17226, 18236, 17136, 26232, 16767, 16662, 20942, 17605, 16925, 18413, 17605, 16662, 27976, 47309, 25016, 16715, 26217, 16463, 27976, 18202, 62053, 17979, 16395, 17275, 17226, 29688, 26178, 16469, 18195, 17605, 16776, 29540, 29540, 26164, 19383, 27823, 21949, 16390, 16466, 16648, 17442, 21441, 17246, 16466, 16396, 26323, 16715, 31543, 17533, 31444, 17442, 16397, 18426, 16674, 16644, 20723, 18195, 17438, 16820, 19715, 19965, 16821, 17605, 18139, 18202, 16712, 16896, 16684, 16776, 29540, 29540, 23963, 16395, 17275, 18195, 17425, 27823, 16767, 16726, 20593, 16749, 18275, 41901, 62053, 17979, 16710, 16469, 17022, 16395, 16695, 24527, 16644, 16774, 17021, 16682, 20490, 16452, 19712, 17976, 22840, 17325, 53301, 16802, 26323, 16715, 22107, 16644, 16648, 17442, 21441, 17246, 16652, 16715, 16776, 18896, 16660, 19760, 16644, 16397, 16582, 18264, 20739, 34418, 25619, 16652, 16715, 16715, 21196, 16750, 16688, 20213, 16686, 18802, 16467, 21275, 16467, 26232, 17438, 16640, 27976, 41387, 20798, 16668, 17100, 16457, 17094, 16669, 22126, 16460, 65369, 18395, 16688, 16395, 16778, 20942, 25338, 26323, 31130, 19693, 16652, 16397, 19716, 16454, 47121, 17684, 17756, 16776, 17555, 16467, 28350, 16749, 20723, 16453, 24527, 16644, 16826, 16395, 48685, 16397, 28779, 17735, 49620, 16867, 16395, 16715, 16678, 16890, 33701, 26323, 17325, 53301, 16802, 16918, 17100, 16457, 17094, 17425, 16767, 17387, 16461, 20942, 16901, 16641, 17085, 17384, 17425, 16778, 20942, 25338, 17131, 16662, 39182, 19424, 17100, 20739, 59433, 16397, 19716, 16454, 47121, 16653, 18192, 20942, 28350, 16749, 24050, 16454, 16840, 16995, 16453, 24527, 20807, 17022, 16715, 16774, 16791, 26550, 36699, 19965, 16802, 20798, 16668, 17100, 16457, 17094, 16397, 42897, 35474, 16458, 24527, 21918, 16749, 17438, 17619, 16890, 16749, 17510, 18376, 16458, 16775, 20798, 19043, 17425, 17438, 16648, 27434, 17000, 16749, 17510, 18376, 16458, 16775, 16715, 18214, 16669, 20942, 17094, 16395, 16678, 28104 ]
[ 0, 16432, 16409, 16582, 16582, 20868, 16671, 22730, 16891, 16647, 19397, 21365, 19426, 20286, 16414, 16582, 16582, 16424, 16843, 20339, 17830, 16674, 23208, 16673, 16858, 19426, 20286, 16582, 19635, 18422, 16673, 16647, 18211, 40484, 16409, 16582, 33514, 25650, 32285, 53458, 20259, 19785, 22927, 31277, 40432, 40714, 21857, 27785, 44127, 16435, 18525, 16582, 16582, 21520, 42993, 38405, 16446, 18320, 16391, 16390, 16435, 20321, 22203, 16417, 16397, 16397, 16386, 16433, 19240, 18743, 16390, 16392, 20259, 23077, 24539, 16582, 16650, 29658, 19989, 53405, 16604, 16386, 16433, 19240, 18743, 16582, 16582, 58249, 53405, 16604, 16386, 16433, 19240, 18743, 16582, 16391, 16582, 63379, 18743, 37614, 30348, 25682, 16395, 16582, 40936, 22598, 16429, 16446, 30933, 37614, 30348, 25682, 16395, 16582, 16700, 49173, 16446, 65233, 16429, 37614, 30348, 25682, 16395, 16582, 22063, 19806, 31026, 53041, 27087, 27171, 17528, 18525, 16604, 16391, 16433, 19240, 18743, 16395, 65233, 16429, 16446, 30933, 16392, 16582, 16604, 16392, 16582, 16582, 47329, 21759, 17879, 16604, 16415, 28983, 16686, 16469, 17300, 16668, 16391, 22323, 16392, 16604, 16412, 16793, 16390, 16390, 16395, 16604, 16582, 16650, 16415, 62111, 16686, 16469, 17300, 16668, 16391, 22323, 16392, 16604, 16412, 16793, 16390, 36429, 16604, 16442, 16433, 19240, 18743, 16444, 16412, 16429, 16390, 16390, 16387, 16396, 16396, 16433, 19240, 18743, 16396, 16396, 16387, 16390, 16390, 16395, 16604, 16582, 16650, 40936, 22598, 16429, 16446, 30933, 16412, 18596, 16395, 16700, 49173, 16446, 65233, 16429, 16412, 29372, 16446, 18926, 16446, 18596, 16582, 16650, 31923, 44610, 16397, 45300, 16446, 28600, 16446, 42783, 16446, 24152, 16446, 22380, 16446, 17793, 16391, 16390, 16390, 47329, 21759, 17879, 16604, 16582, 16650, 16604, 16415, 33510, 16463, 16604, 16387, 16396, 16396, 16433, 19240, 18743, 16396, 16396, 16387, 16410, 26069, 30510, 16604, 16393, 31923, 16604, 16415, 33510, 16463, 16410, 16390, 16390, 16395, 21858, 16395, 21858, 16392, 16582, 16650, 64361, 29446, 21874, 16446, 16995, 17667, 16410, 16390, 16410, 16582, 16582, 36429, 16604, 16415, 28983, 16604, 16394, 16412, 21727, 23004, 28650, 16391, 16415, 62111, 16395, 16793, 16390, 16387, 16396, 16396, 16433, 19240, 18743, 16396, 16396, 16387, 16390, 16395, 16604, 16582, 16650, 22914, 18957, 18144, 25682, 16391, 16466, 16397, 18596, 16392, 16604, 16394, 16793, 16390, 16397, 16390, 16604, 16394, 42037, 18957, 18144, 25682, 16391, 16467, 16397, 18596, 16392, 16392, 16582, 48769, 44610, 16397, 22246, 16446, 30179, 24286, 16640, 16582, 17681, 46299, 62718, 44610, 16397, 28308, 20070, 24286, 16648, 16582, 17759, 16640, 16397, 16442, 41535, 16446, 16699, 16444, 16604, 16412, 16648, 16397, 16442, 41535, 16446, 16699, 16444, 16410, 16582, 16582, 62658, 53701, 16604, 16386, 16433, 19240, 18743, 16604, 16582, 21843, 19234, 44610, 16397, 17977, 16446, 28600, 18298, 26675, 16604, 16415, 28983, 16410, 16582, 16582, 36429, 16604, 16393, 31923, 16604, 16386, 16433, 19240, 18743, 16582, 16582, 36429, 16582, 16696, 17503, 16397, 18596, 24286, 19426, 16446, 18926, 16446, 18596, 16395, 16582, 16696, 16450, 16397, 18596, 24286, 21874, 16446, 18596, 16395, 16582, 16696, 16450, 16397, 27253, 16446, 16699, 16395, 16582, 16696, 16467, 16397, 18596, 24286, 18383, 16446, 18596, 16395, 16582, 16696, 16450, 16397, 22323, 16446, 20517, 16395, 16582, 16696, 16450, 16397, 19583, 37954, 16395, 16582, 16696, 16450, 16397, 24609, 16395, 16582, 16696, 16450, 16397, 31726, 16725, 16446, 18596, 16395, 16582, 16696, 16450, 16397, 16656, 16446, 21858, 16925, 16582, 48769, 16604, 16582, 16696, 34175, 16397, 46751, 17376, 16655, 16582, 16696, 49464, 17681, 44610, 16397, 22246, 16446, 30179, 24286, 16640, 16467, 16582, 16696, 16696, 17759, 16655, 16397, 22581, 16446, 16699, 16604, 16412, 16640, 16467, 16397, 18926, 16446, 22246, 16446, 22581, 16446, 16699, 16582, 16696, 49464, 17681, 44610, 16397, 30179, 24286, 16640, 16582, 16696, 16696, 17759, 16640, 16397, 20855, 16446, 18926, 16446, 16699, 16604, 16412, 16655, 16397, 20855, 16446, 18926, 16446, 16699, 16582, 57914, 29446, 16582, 16696, 17503, 16397, 18596, 16395, 16582, 16696, 16450, 16397, 27253, 16446, 16699, 16582, 16582, 16770, 16687, 16843, 17199, 29094, 27255, 21727, 48062, 36952, 16709, 16858, 19397, 21365, 20286, 17655, 16647, 18211, 22730, 16409, 16582, 16696, 36429, 16640, 16397, 18596, 16395, 16604, 16582, 16696, 16696, 16650, 16604, 16390, 26517, 27255, 21727, 48062, 42040, 18311, 23272, 16700, 49173, 16409, 16409, 16390, 16604, 16582, 16696, 16696, 16650, 16604, 16394, 25322, 18743, 21423, 16446, 30933, 16391, 16467, 16397, 41535, 16446, 16699, 16392, 16604, 16582, 16696, 16696, 16650, 16604, 16394, 16604, 16390, 16397, 16390, 16604, 16582, 16696, 16696, 16650, 16604, 16394, 16640, 16397, 18596, 16604, 16582, 16696, 16696, 16650, 16604, 16394, 16604, 16390, 22734, 17726, 16410, 16390, 24286, 21580, 16446, 16928, 16446, 21282, 16582, 16696, 48769, 16650, 44610, 16397, 30179, 24286, 16640, 16582, 19180, 16604, 16400, 16412, 16400, 16582, 21828, 16700, 16397, 16656, 16446, 22246, 16446, 18926, 16604, 16412, 16604, 16400, 16582, 16582, 18129, 16704, 16986, 16641, 17210, 16671, 22730, 16891, 16858, 19426, 20286, 16672, 16641, 23355, 16414, 16582, 16424, 17045, 18183, 16671, 22730, 16891, 16811, 19426, 18383, 16395, 19600, 20131, 16647, 32043, 16674, 21304, 19438, 16734, 16728, 16409, 16582, 16893, 23984, 23637, 22142, 16582, 17950, 16582, 16582, 21520, 27163, 24460, 16434, 16391, 36429, 16604, 16393, 16604, 16582, 16696, 16696, 16696, 48769, 16702, 34320, 16397, 22246, 16446, 30179, 16640, 16467, 16582, 16696, 16696, 16650, 42916, 16640, 16467, 16397, 30933, 16412, 16429, 16390, 31594, 35755, 23535, 19862, 16390, 16604, 16582, 16696, 16696, 16696, 21828, 25322, 18743, 21423, 16446, 30933, 16391, 17503, 16397, 21066, 18743, 21423, 16446, 18320, 16392, 16604, 16412, 16793, 16390, 16451, 17357, 16390, 16392, 16582, 16650, 29658, 19989, 16700, 49173, 16759, 24920, 16397, 31594, 35755, 23535, 19862, 16582, 16582, 58249, 16700, 49173, 16604, 16442, 16451, 17357, 16444, 16397, 16442, 31594, 35755, 23535, 19862, 16444, 24286, 53405, 16582, 16650, 16391, 16582, 16696, 16442, 31594, 35755, 18954, 19157, 16444, 16604, 16442, 16974, 16444, 23077, 24539, 21857, 16424, 54530, 16395, 16582, 16696, 16442, 22532, 25493, 16444, 16604, 16442, 16974, 16444, 23077, 24539, 16395, 16696, 16696, 16582, 16696, 16442, 20392, 19157, 16444, 16604, 16442, 16974, 16444, 23077, 24539, 16395, 16582, 16696, 16442, 44674, 18954, 16444, 16604, 16442, 16974, 16444, 23077, 24539, 16395, 16582, 16582, 16696, 20714, 19806, 31026, 53041, 16793, 17759, 22695, 27171, 17528, 18525, 16604, 16582, 16696, 16391, 16582, 16696, 16650, 16604, 16442, 31594, 35755, 18954, 19157, 16444, 46512, 16582, 16696, 16392, 16395, 16582, 16582, 16696, 61062, 16719, 28592, 27087, 27171, 17528, 18525, 16604, 16391, 20392, 19157, 16395, 59768, 18954, 16392, 16696, 16582, 16650, 16392, 16410, 16582, 16582, 16416, 16409, 16582, 16582, 49139, 16395, 16647, 18636, 16673, 17005, 16732, 16390, 16683, 20522, 19184, 16641, 19288, 16673, 16811, 16721, 22982, 16715, 16858, 18230, 35240, 16673, 50492, 16395, 32043, 16395, 16674, 22243, 19795, 16395, 16674, 61501, 18351, 16858, 16647, 35240, 16732, 17121, 16390, 16467, 17924, 16815, 16912, 17092, 17231, 17843, 16395, 16687, 17121, 16390, 16467, 17133, 16732, 16390, 16683, 18021, 16969, 16721, 17005, 17141, 17028, 18798, 17072, 17259, 19426, 20286, 16732, 16807, 16671, 22730, 16395, 16944, 16732, 16843, 17686, 16829, 16815, 25595, 45772, 16604, 16391, 16658, 25595, 45772, 37029, 16395, 16715, 19705, 16392, 16409, 16582, 16582, 21260, 16715, 17174, 16395, 16687, 21781, 16641, 30280, 16671, 17134, 17016, 20943, 30334, 32111, 16671, 33679, 33785, 16672, 17970, 16671, 24339, 16647, 18725, 22730, 16715, 16721, 19426, 18383, 16395, 16674, 16728, 16763, 16931, 16741, 18408, 16741, 16687, 19272, 16409, 16582, 28600, 17020, 16446, 28600, 18298, 26675, 16793, 16390, 36429, 16582, 21066, 18743, 21423, 16446, 30933, 16391, 17503, 16397, 41535, 16446, 16699, 16392, 24286, 16604, 16442, 36266, 16444, 16395, 16582, 17503, 16397, 18596, 24286, 16604, 16442, 18679, 16444, 16582, 48769, 16582, 34175, 16397, 22246, 16446, 30179, 24286, 16640, 16467, 16582, 17681, 46299, 62718, 44610, 16397, 28308, 20070, 24286, 16726, 16467, 23272, 16726, 16467, 16397, 41535, 16446, 16699, 16604, 16412, 16640, 16467, 16397, 41535, 16446, 16699, 16582, 48123, 16582, 16391, 17503, 16397, 18596, 16412, 16415, 16446, 17413, 19649, 16446, 16399, 16674, 25322, 18743, 21423, 16446, 30933, 16391, 17503, 16397, 41535, 16446, 16699, 16392, 16412, 16415, 16446, 17413, 19649, 16446, 16400, 16392, 16390, 16395, 16582, 16429, 16390, 16415, 16446, 17413, 19649, 16446, 16399, 16686, 16469, 17300, 16668, 16391, 16403, 16399, 16399, 16399, 16392, 16395, 16415, 16446, 17413, 19649, 16446, 16400, 16686, 16469, 17300, 16668, 16391, 16403, 16399, 16399, 16399, 16392, 16390, 16395, 16582, 16415, 16446, 17413, 19649, 16446, 16399, 16412, 16429, 16390, 31594, 35755, 23535, 19862, 16390, 16395, 16415, 16446, 17413, 19649, 16446, 16400, 16412, 16429, 16390, 16451, 17357, 16390, 16582, 16582, 28600, 17020, 16446, 28600, 18298, 26675, 16793, 16390, 36429, 16582, 16933, 16460, 21918, 16397, 27253, 16446, 16699, 24286, 16604, 16442, 18320, 16444, 16395, 16582, 16933, 16460, 21918, 16397, 18596, 24286, 16604, 16442, 18679, 16444, 16395, 16582, 16933, 16460, 21918, 16397, 16656, 16446, 16890, 16456, 16446, 16463, 40709, 24286, 16604, 16442, 17375, 26979, 63288, 25211, 16444, 16395, 16582, 18629, 36250, 16391, 16933, 16460, 21918, 16397, 31726, 16725, 16446, 18596, 16395, 16793, 16390, 16390, 16390, 16390, 16392, 24286, 16604, 16442, 34241, 16725, 16444, 16395, 16582, 16933, 16460, 21918, 16397, 27253, 16446, 28491, 34879, 16446, 18578, 16446, 16699, 24286, 16604, 16442, 26856, 32664, 34879, 20921, 18320, 16444, 16395, 16582, 16718, 17130, 16397, 18596, 24286, 16604, 16442, 26856, 32664, 34879, 20921, 18679, 16444, 16395, 16582, 16933, 16460, 21918, 16397, 16656, 16446, 37400, 16665, 24286, 16604, 16442, 39875, 16665, 16444, 16395, 16582, 18629, 36250, 16391, 16923, 16397, 41941, 16395, 16429, 16390, 16390, 16390, 16390, 16392, 24286, 16604, 16442, 39875, 16665, 21240, 16444, 16395, 16582, 16466, 16400, 16933, 16460, 21918, 16397, 18596, 24286, 16604, 16442, 62758, 36266, 16444, 16395, 16582, 16391, 19827, 17014, 16950, 16460, 21918, 16397, 22449, 16446, 22581, 16446, 16699, 16604, 16412, 16604, 16399, 17177, 16793, 16390, 16390, 16390, 16390, 17014, 16670, 16397, 21898, 16446, 22581, 16446, 16699, 16604, 16413, 16604, 16399, 17177, 16793, 16390, 16390, 16390, 16390, 18118, 16670, 16397, 18596, 17291, 16392, 24286, 16604, 16442, 26236, 16444, 16395, 16582, 18629, 36250, 16391, 33997, 16397, 18679, 16395, 16793, 16390, 16390, 16390, 16390, 16392, 24286, 16604, 16442, 26236, 52418, 18679, 16444, 16395, 16582, 16391, 19827, 17014, 16950, 16460, 21918, 16397, 22449, 16446, 22581, 16446, 16699, 16604, 16412, 16604, 16399, 17177, 16793, 16390, 16390, 16390, 16390, 17014, 16670, 16397, 21898, 16446, 22581, 16446, 16699, 16604, 16413, 16604, 16399, 17177, 16793, 16390, 16390, 16390, 16390, 18118, 43060, 16446, 18596, 16391, 16451, 16397, 41535, 16446, 16699, 16392, 17291, 16392, 24286, 16604, 16442, 26236, 36266, 16444, 16395, 16582, 16933, 16460, 21918, 16397, 28491, 34879, 16446, 16666, 41337, 16446, 18596, 24286, 16604, 16442, 32664, 34879, 18342, 41337, 16444, 16395, 16582, 64980, 16391, 16933, 16460, 21918, 16397, 28491, 34879, 16446, 18926, 24286, 17371, 16392, 24286, 16604, 16442, 32664, 34879, 18954, 16444, 16395, 16582, 16933, 16460, 21918, 16397, 38230, 16446, 43550, 16446, 18926, 24286, 16604, 16442, 47141, 42503, 18954, 16444, 16395, 16582, 18629, 36250, 16391, 16933, 16460, 21918, 16397, 32195, 16446, 18926, 16395, 16604, 16399, 16392, 24286, 16604, 16442, 36567, 18954, 16444, 16395, 16582, 16933, 16460, 21918, 16397, 16656, 16446, 51575, 24286, 16604, 16442, 48786, 16444, 16395, 16582, 64980, 16391, 18629, 36250, 16391, 16675, 16397, 44708, 16446, 19826, 16395, 16399, 16392, 24286, 62093, 16391, 16402, 16407, 16392, 16392, 24286, 16604, 16442, 48786, 18621, 16665, 17894, 55188, 16444, 16395, 16582, 64980, 16391, 18629, 36250, 16391, 16675, 16397, 40180, 16797, 16446, 19826, 16395, 16399, 16392, 24286, 62093, 16391, 16402, 16407, 16392, 16392, 24286, 16604, 16442, 48786, 40453, 16797, 17894, 55188, 16444, 16395, 16582, 64980, 16391, 16399, 24286, 18064, 16392, 24286, 16604, 16442, 19068, 20867, 17886, 16444, 16395, 16582, 64980, 16391, 16933, 16460, 21918, 16397, 16656, 16446, 27253, 16446, 17793, 24286, 18064, 16392, 24286, 16604, 16442, 19068, 26856, 20811, 16444, 16395, 16582, 64980, 16391, 16933, 16460, 21918, 16397, 16656, 16446, 21930, 63245, 24286, 18064, 16392, 24286, 16604, 16442, 19068, 21188, 24620, 16444, 16395, 16582, 64980, 16391, 18629, 36250, 16391, 16391, 25032, 53808, 16604, 16400, 16604, 16400, 16815, 44610, 16397, 56196, 16446, 18578, 16446, 46751, 24286, 17302, 62067, 17187, 17302, 62067, 16397, 21898, 16446, 27253, 16446, 16699, 16604, 16412, 16950, 16460, 21918, 16397, 27253, 16446, 16699, 16674, 17302, 62067, 16397, 21898, 16446, 22581, 16446, 16699, 16604, 16412, 16950, 16460, 21918, 16397, 22581, 16446, 16699, 16392, 16395, 16604, 16399, 16392, 24286, 18064, 16392, 24286, 16604, 16442, 19068, 44710, 20921, 16444, 16395, 16582, 64980, 16391, 16933, 16460, 21918, 16397, 16656, 16446, 35460, 16665, 24286, 18064, 16392, 24286, 16604, 16442, 19068, 42847, 16665, 16444, 16395, 16582, 64980, 16391, 18629, 36250, 16391, 16923, 16397, 16656, 16446, 24174, 24217, 16395, 16604, 16399, 16392, 24286, 18064, 16392, 24286, 16604, 16442, 19068, 38482, 24217, 16444, 16395, 16582, 64980, 16391, 16933, 16460, 21918, 16397, 16656, 16446, 16466, 26581, 24286, 18064, 16392, 24286, 16604, 16442, 19068, 16434, 26581, 16444, 16395, 16582, 64980, 16391, 16418, 28201, 62588, 17927, 16688, 16397, 18596, 20325, 16604, 16391, 16429, 16390, 16390, 16461, 20166, 16390, 16390, 16395, 16793, 16390, 16390, 16461, 16469, 17300, 16668, 16390, 16390, 16392, 21828, 16950, 16460, 21918, 16397, 22323, 16446, 20517, 16604, 16411, 16413, 16604, 16396, 16400, 61746, 16950, 16460, 21918, 16397, 22323, 16446, 20517, 16398, 16401, 33776, 19890, 16950, 16460, 21918, 16397 ]
[ 0, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16650, 57682, 18525, 16582, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16650, 32384, 18644, 19758, 16673, 39967, 16582, 16696, 16696, 16696, 16696, 16650, 21857, 44896, 42576, 18311, 58088, 16435, 21256, 21337, 23054, 42737, 16700, 24854, 32638, 16582, 16582, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16650, 16700, 20512, 16423, 16719, 20678, 59208, 18317, 16696, 16696, 16696, 16696, 16696, 31259, 16604, 16400, 16408, 16395, 16604, 16401, 16399, 16400, 16400, 16582, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 22310, 16656, 24102, 16711, 16397, 17485, 16768, 19703, 16582, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16418, 17976, 16458, 16673, 19758, 16582, 16778, 38995, 28006, 16796, 16397, 16908, 20678, 32867, 16395, 16582, 16582, 16696, 16696, 16696, 48167, 16396, 20323, 17182, 16795, 16395, 16582, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16650, 17933, 16397, 16604, 16400, 16400, 16396, 16401, 16399, 16407, 16401, 16582, 16776, 16397, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16604, 16391, 16419, 16397, 16418, 16397, 17933, 16397, 16604, 16400, 16409, 16399, 16407, 16396, 46075, 16396, 16399, 16399, 16407, 16407, 16406, 16396, 57000, 16396, 16419, 36751, 16392, 16582, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16604, 16391, 16419, 16397, 16429, 16397, 16428, 16397, 16392, 16582, 22580, 49606, 62638, 64611, 18189, 24635, 20084, 16582, 57308, 21256, 29977, 16727, 21843, 48707, 16410, 16832, 46503, 16582, 16832, 18013, 19234, 41348, 16395, 16762, 21075, 16395, 16582, 16582, 16696, 16696, 16696, 62578, 16396, 20323, 22126, 16659, 16397, 16582, 16582, 16582, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 64361, 16582, 16582, 16582, 25379, 16908, 62396, 16440, 16395, 16751, 24486, 16441, 16395, 16674, 16751, 19785, 16428, 18311, 16395, 32638, 56515, 16397, 16582, 16582, 16582, 16696, 16650, 17635, 18798, 16704, 17329, 16647, 19124, 16709, 25381, 16673, 59167, 16795, 16743, 16466, 27182, 16715, 16582, 16582, 40872, 36536, 18191, 16397, 53849, 31145, 16671, 22672, 29923, 16673, 59167, 16758, 48933, 16604, 16403, 16399, 16391, 16448, 16392, 16391, 16403, 16392, 16391, 16418, 16392, 16395, 16742, 16582, 16582, 26517, 27255, 59167, 16795, 16743, 16466, 27182, 16715, 22765, 36536, 18191, 16397, 16772, 18722, 25997, 22038, 19441, 16582, 16582, 56265, 16673, 42736, 18038, 16395, 51928, 16776, 16397, 27330, 20405, 16673, 17360, 22729, 16395, 17933, 16397, 16604, 16400, 16400, 16396, 16582, 16582, 16401, 16399, 16407, 16401, 16395, 16604, 16401, 16399, 16400, 16400, 63484, 16604, 16402, 16405, 16405, 16403, 16401, 16407, 16400, 16604, 16391, 16400, 16399, 16757, 32726, 16397, 18685, 16397, 16604, 16401, 16401, 16395, 16604, 16401, 16399, 16400, 16400, 16392, 16395, 16704, 19774, 16895, 16674, 16647, 24937, 16582, 16582, 16707, 18158, 25997, 22038, 19441, 37646, 16673, 42736, 18038, 16704, 44231, 16672, 17073, 17617, 16397, 16582, 16582, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16650, 17973, 20684, 16715, 16647, 19758, 16395, 16582, 16582, 16582, 16582, 16582, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16650, 33776, 18629, 20709, 34591, 16711, 16397, 26247, 16436, 21423, 16426, 17528, 16395, 49670, 16582, 16584, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 55726, 18525, 16582, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 32384, 18644, 19758, 16673, 39967, 16582, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16435, 24854, 32638, 16582, 16696, 16696, 16696, 16696, 16650, 21857, 44896, 42576, 18311, 58088, 16435, 21256, 21337, 23054, 42737, 16582, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 31259, 16604, 16400, 16408, 16395, 16604, 16401, 16399, 16400, 16400, 16582, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16435, 20512, 16423, 16719, 20678, 59208, 18317, 16582, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 22310, 16656, 24102, 16711, 16397, 17485, 16768, 19703, 16582, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16418, 17976, 16458, 16673, 19758, 16582, 16582, 16778, 38995, 28006, 16796, 16397, 16908, 20678, 32867, 16395, 16582, 16582, 16696, 16696, 16696, 16650, 19733, 19621, 18837, 16396, 20323, 17182, 16795, 16395, 16582, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 17933, 16397, 16604, 16400, 16400, 16396, 16401, 16399, 16407, 16401, 16582, 16776, 16397, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16650, 16604, 16391, 16419, 16397, 16418, 16397, 17933, 16397, 16604, 16400, 16409, 16399, 16407, 16396, 46075, 16396, 16399, 16399, 16407, 16407, 16406, 16396, 57000, 16396, 16419, 36751, 16392, 16582, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16650, 16604, 16391, 16419, 16397, 16429, 16397, 16428, 16397, 16392, 16582, 22580, 49606, 62638, 64611, 18189, 24635, 20084, 16582, 57308, 21256, 29977, 16727, 21843, 48707, 16410, 16832, 46503, 16582, 16832, 18013, 19234, 41348, 16395, 16762, 21075, 16395, 16582, 16582, 16696, 16696, 16696, 16650, 21382, 34971, 16396, 20323, 22126, 16659, 16397, 16582, 16582, 16582, 16696, 16696, 16650, 57914, 16759, 18144, 16440, 19207, 16719, 28165, 61088, 22694, 21256, 21337, 23054, 18189, 57597, 16604, 16393, 16582, 16582, 16582, 25379, 16908, 62396, 16440, 16395, 16751, 24486, 16441, 16395, 16674, 16751, 19785, 16428, 18311, 16395, 32638, 56515, 16397, 16582, 16582, 16582, 16696, 16650, 16431, 29107, 16646, 22229, 51928, 16395, 16641, 19022, 17360, 22729, 17731, 38788, 39929, 16582, 16582, 17491, 16783, 16395, 16604, 16400, 29196, 16641, 37646, 16673, 42736, 18038, 16604, 16391, 16894, 23934, 16416, 16900, 16392, 16671, 23656, 16647, 20991, 19124, 16743, 16466, 16582, 16582, 16582, 16582, 16696, 16650, 16393, 16582, 16696, 16696, 16696, 16650, 17635, 25997, 16704, 16804, 26570, 44144, 16395, 20302, 17131, 16647, 58616, 16673, 16582, 23098, 16673, 16647, 17843, 16395, 16941, 19314, 16675, 17180, 16395, 16674, 45759, 17630, 32752, 16744, 16397, 16999, 17123, 16703, 29348, 16395, 18919, 16395, 16582, 17756, 17073, 62454, 18020, 23354, 16734, 22672, 29923, 16673, 59167, 16758, 48933, 16604, 16402, 16401, 16397, 16400, 16582, 16770, 16700, 24854, 32638, 29923, 16604, 16402, 16401, 16397, 16400, 16397, 16582, 16582, 16696, 16650, 20068, 37120, 16647, 61980, 18156, 16395, 16811, 17567, 16396, 27556, 16840, 22765, 21487, 16582, 16720, 29610, 19879, 16721, 27835, 21981, 16961, 16804, 16703, 16673, 18651, 23341, 16672, 16647, 16582, 48836, 18057, 16673, 16811, 23656, 16397, 21125, 29142, 16397, 16778, 16397, 18501, 16397, 16739, 16397, 16604, 16402, 16403, 16391, 16448, 16392, 16410, 16604, 16400, 16399, 16757, 32726, 16397, 16778, 16397, 16604, 16402, 16403, 16397, 16400, 16391, 16422, 16392, 16397, 16582, 16853, 17843, 16704, 20821, 23951, 25413, 17714, 27835, 21981, 16397, 16582, 16696, 16650, 16400, 16582, 16696, 16696, 16696, 20919, 18667, 16397, 51928, 16704, 39929, 16764, 16783, 16395, 16742, 17794, 60279, 16888, 45265, 16582, 46688, 16834, 16397, 21125, 20024, 17023, 17768, 16776, 16397, 16739, 16835, 16730, 16395, 16604, 16404, 16404, 16400, 16876, 16397, 16434, 16397, 16604, 16407, 16408, 16395, 16604, 16408, 16403, 16604, 16391, 16401, 16399, 16399, 16406, 16392, 16604, 16391, 16874, 17422, 19143, 16392, 16410, 23835, 16582, 19577, 45508, 16776, 16397, 22433, 16395, 16604, 16403, 16408, 16406, 16773, 16397, 16402, 16451, 16604, 16400, 16400, 16404, 16400, 16395, 16604, 16400, 16400, 16404, 16402, 16686, 16397, 16400, 16604, 16391, 16400, 16399, 16757, 32726, 16397, 16604, 16401, 16399, 16399, 16406, 16392, 16397, 16582, 16584, 17982, 17002, 16673, 16409, 16604, 16391, 16400, 16392, 16888, 16604, 16401, 16407, 16876, 16397, 16434, 16397, 16418, 16397, 16604, 25660, 16604, 16401, 16401, 16404, 16403, 31670, 16676, 27182, 16410, 16604, 16391, 16401, 16392, 16888, 16604, 16894, 16431, 29107, 16715, 18739, 16707, 16582, 16582, 38757, 16656, 16395, 16900, 16944, 16647, 20991, 19124, 55867, 16741, 16641, 51579, 16604, 25660, 16604, 16401, 16401, 16404, 16403, 31670, 16676, 16582, 16582, 17706, 19880, 16410, 16674, 16604, 16391, 16402, 16392, 16888, 22672, 29923, 16673, 24545, 48933, 29923, 16604, 16404, 16408, 16391, 16452, 16392, 22846, 16395, 16944, 16582, 16582, 17347, 20991, 19124, 55867, 16741, 16641, 17711, 16785, 42910, 16604, 25660, 16604, 16401, 16401, 16404, 16403, 31670, 16676, 27182, 16397, 18667, 16397, 16582, 16582, 57409, 17770, 17027, 29196, 16671, 20929, 16647, 20991, 19124, 16743, 16466, 41107, 16671, 20864, 16647, 18156, 16785, 16582, 16582, 60982, 16667, 28056, 33389, 21764, 19057, 16397, 17812, 19579, 18084, 31245, 17131, 16604, 16401, 16407, 16876, 16397, 16434, 16397, 16418, 16397, 16582, 16582, 25660, 25660, 16604, 16400, 16401, 16408, 16400, 16674, 16604, 16401, 16401, 16404, 16402, 16391, 16448, 16392, 16395, 16742, 30061, 18667, 16397, 51928, 16743, 16466, 19181, 16715, 16641, 23593, 16416, 16709, 16858, 21144, 16674, 16582, 16582, 16451, 55681, 16888, 23656, 16397, 16582, 16582, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 53819, 26517, 35049, 16582, 16582, 16696, 16650, 21742, 16397, 51928, 16763, 30931, 16809, 28413, 16672, 17731, 19124, 16673, 25347, 17030, 16604, 16387, 16401, 16404, 16399, 16397, 16604, 16401, 18713, 16582, 16582, 46070, 18912, 16763, 16604, 16894, 19338, 16709, 19591, 16721, 16604, 16442, 16643, 16444, 28107, 44702, 17916, 31394, 16671, 17802, 16641, 16582, 16582, 17052, 28248, 16715, 17107, 16395, 16674, 17177, 21431, 16671, 17839, 18667, 16397, 17916, 31394, 16397, 16900, 16778, 16397, 16395, 21262, 16397, 16687, 16395, 16767, 16604, 16401, 16404, 16604, 16391, 21574, 56365, 16397, 16582, 16582, 25941, 16397, 23808, 16397, 16395, 23165, 17907, 16604, 16400, 16399, 16395, 16604, 16401, 16399, 16399, 16404, 16392, 16397, 19253, 22365, 16395, 16741, 20101, 16809, 16647, 20478, 16582, 16582, 30104, 49059, 22948, 16672, 16811, 17843, 16409, 16582, 16582, 16582, 16582, 16696, 16650, 16401, 16582, 16696, 16696, 16696, 16772, 17360, 22729, 25347, 36491, 16672, 17717, 17014, 18667, 16397, 51928, 16763, 57568, 16582, 16770, 30931, 17337, 16395, 16672, 17015, 16409, 16604, 16894, 23915, 17436, 53904, 25347, 17014, 16647, 18020, 16673, 16647, 16582, 29447, 19576, 30921, 16895, 16785, 18711, 16704, 17030, 17142, 20531, 30327, 22313, 16604, 16391, 16387, 16401, 16404, 16399, 16392, 16850, 16804, 16582, 19502, 17032, 23993, 16396, 30794, 20531, 22313, 16604, 16391, 16387, 16401, 16395, 16404, 16399, 16399, 16392, 16704, 25057, 16673, 16641, 21904, 20157, 16582, 41923, 18460, 16397, 16900, 16793, 16397, 16428, 16397, 23015, 16397, 20624, 16397, 16604, 25660, 16604, 16402, 16399, 16396, 16400, 16405, 16396, 16405, 16604, 16391, 16400, 16408, 16407, 16406, 16392, 16410, 17134, 17027, 16778, 16397, 16395, 21262, 16397, 16687, 16395, 16767, 16604, 16402, 16404, 16604, 16391, 21574, 16776, 16397, 16582, 57409, 17770, 16395, 16604, 16400, 16405, 16400, 16739, 16397, 16402, 16451, 16604, 16407, 16407, 16402, 16395, 16604, 16407, 16407, 16403, 16604, 16391, 16429, 16397, 16428, 16397, 16604, 16401, 16399, 16399, 16406, 16392, 16392, 16604, 16391, 16894, 21382, 32006, 16763, 23057, 16734, 16917, 17410, 16582, 17663, 25347, 17030, 16604, 16387, 16401, 16404, 16399, 16850, 17827, 17032, 16604, 16387, 16401, 16395, 16404, 16399, 16399, 16395, 16641, 21904, 20157, 41077, 16397, 16900, 16604, 16391, 16450, 18883, 16793, 16397, 16428, 16397, 16582, 27765, 16397, 20624, 16397, 16604, 25660, 16604, 16402, 16399, 16396, 16400, 16405, 16396, 16405, 16604, 16391, 16400, 16408, 16407, 16406, 16392, 16392, 16392, 16397, 16582, 16582, 16696, 16650, 16772, 36491, 16763, 33891, 16672, 16604, 16401, 16399, 16399, 16405, 16397, 21214, 16647, 33891, 25347, 25610, 16395, 16582, 18656, 16823, 17030, 16604, 16387, 16401, 16404, 16399, 16850, 17827, 17032, 16604, 16387, 16404, 16399, 16399, 16704, 16641, 57909, 16395, 17437, 25347, 17030, 16604, 16387, 16404, 16399, 16399, 16850, 16582, 17600, 17032, 16604, 16387, 16401, 16395, 16404, 16399, 16399, 16704, 16641, 21904, 20157, 41077, 16397, 21125, 16793, 16397, 16428, 16397, 23015, 16397, 20624, 16397, 16604, 25660, 16604, 16402, 16399, 16396, 16400, 16405, 16396, 16405, 16604, 16391, 16401, 16399, 16399, 16405, 16392, 16397, 16582, 16582, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16650, 16402, 16582, 16584, 16696, 16696, 16696, 51928, 23157, 16641, 17785, 17598, 16397, 17046, 28107, 16647, 20978, 16395, 44702, 16582, 16696, 16696, 16696, 17916, 31394, 16395, 16671, 17802, 16674, 17460, 16641, 19289, 16674, 16647, 17142, 23373, 17065, 16582, 16696, 16696, 16696, 16641, 19289, 17802, 19436, 17131, 16944, 51928, 16763, 16671, 17839, 17916, 31394, 16582, 16696, 16696, 16696, 16604, 16387, 16400, 16395, 16407, 16408, 16399, 16715, 16888, 17802, 18373, 16397, 17916, 31394, 19194, 16647, 26502, 16674, 16582, 16696, 16696, 16696, 30227, 17007, 17065, 51928, 16743, 16466, 19289, 16395, 16850, 51928, 17132, 16804, 17839, 16582, 16696, 16696, 16696, 17107, 16397, 18196, 17916, 31394, 29593, 20152, 16647, 29389, 16671, 19650, 16582, 16696, 16696, 16696, 51928, 16815, 35490, 16647, 26502, 16395, 51928, 16395, 16929, 21144, 16733, 16763, 16647, 16582, 16696, 16696, 16696, 16604, 16894, 36410, 16895, 38113, 16900, 16673, 16647, 19289, 16395, 16955, 16647, 20247, 18692, 16582, 16696, 16696, 16696, 23841, 32294, 16647, 29389, 28065, 33210, 17916, 31394, 16743, 16466, 25365, 16582, 16696, 16696, 16696, 16671, 22984, 16647, 26502 ]
[ 0, 36300, 16604, 16474, 16386, 37256, 16400, 16476, 16582, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16582, 16582, 23700, 16746, 50038, 16642, 16604, 16391, 24486, 16392, 16674, 19359, 28937, 18288, 16647, 17736, 17568, 16673, 20381, 16396, 23366, 53877, 22163, 16395, 16674, 43921, 23759, 16672, 16604, 16393, 19733, 16676, 18852, 17997, 39537, 16845, 17603, 16768, 16393, 16704, 16917, 16673, 16647, 22708, 27247, 16671, 19364, 20849, 16671, 18123, 16395, 29670, 16674, 43965, 21825, 44253, 16397, 17999, 23047, 16828, 40510, 16674, 20790, 16673, 43921, 23759, 16728, 16763, 23925, 16721, 43921, 16674, 17073, 39197, 16703, 17405, 17097, 16672, 22332, 16734, 16641, 21264, 20632, 16741, 16667, 43921, 22332, 22595, 16604, 16391, 26878, 16392, 16395, 16734, 17030, 16604, 16403, 16399, 16399, 18115, 31086, 27204, 21950, 25639, 30362, 16397, 16999, 16704, 21476, 24759, 23381, 16721, 16604, 16400, 16400, 16405, 16395, 16399, 16399, 16399, 19642, 25074, 16961, 19947, 30362, 16672, 16647, 18094, 16673, 30046, 43921, 23759, 16395, 16734, 20741, 17730, 20079, 16673, 17824, 16443, 16387, 16402, 16401, 18115, 16674, 29719, 26221, 44221, 17824, 16443, 16387, 16402, 16407, 16404, 18115, 16604, 16443, 16442, 16442, 16415, 23965, 16400, 16444, 16443, 16444, 16397, 16772, 31942, 16673, 16647, 17730, 16674, 19799, 19787, 37162, 16809, 43921, 23759, 24473, 16741, 16667, 34781, 17322, 16671, 18865, 16671, 17460, 23575, 16721, 64151, 17073, 20790, 16604, 16443, 16442, 16442, 16415, 23965, 16401, 16444, 16443, 16444, 16397, 42013, 16859, 21384, 20287, 16647, 26592, 27287, 16673, 43921, 23759, 16397, 16582, 16582, 38333, 16395, 43921, 23759, 16704, 39249, 18325, 16647, 35076, 63511, 16882, 21064, 16396, 32717, 16604, 16391, 16422, 21332, 16392, 16674, 36322, 16709, 45068, 16395, 17187, 16728, 16763, 17092, 27024, 16672, 16604, 16401, 16399, 16399, 16406, 16604, 16443, 16442, 16442, 16415, 23965, 16402, 16444, 16395, 16604, 16442, 16415, 23965, 16403, 16444, 16443, 16444, 16397, 28385, 17458, 16715, 16647, 20790, 16673, 43921, 23759, 19067, 16673, 36115, 22852, 19684, 16671, 16647, 60696, 47330, 16671, 19178, 16746, 50038, 16642, 58039, 16604, 16391, 22082, 18513, 16392, 18077, 16721, 29998, 16674, 41715, 43921, 23759, 18325, 16604, 16400, 16404, 21186, 17490, 16672, 22852, 16674, 20952, 16604, 16443, 16442, 16442, 16415, 23965, 16404, 16444, 16443, 16444, 16397, 25453, 56114, 38759, 16741, 16641, 20165, 16673, 23759, 16395, 16647, 25650, 18513, 17913, 22557, 16721, 43921, 16396, 44612, 16604, 16393, 16431, 16397, 39537, 16845, 17603, 16768, 16393, 16763, 20916, 16672, 45068, 16395, 64914, 16395, 41613, 16395, 31674, 16395, 16674, 27184, 16397, 16582, 16582, 23700, 16746, 50038, 16642, 23759, 16704, 24483, 16809, 18422, 34434, 16672, 56114, 38759, 16815, 18873, 16395, 16785, 16809, 19800, 16672, 36523, 56114, 25341, 17131, 17682, 35521, 16808, 16746, 50038, 16642, 16604, 16391, 16419, 23328, 16392, 16672, 22999, 16396, 29690, 25341, 34803, 16604, 16391, 16433, 21218, 16477, 16399, 16396, 16396, 16402, 16455, 16477, 16392, 16604, 16443, 16442, 16442, 16415, 23965, 16405, 16444, 16443, 16444, 16397, 53241, 23062, 54511, 21578, 17131, 20209, 43921, 20301, 21766, 16604, 16393, 35270, 30603, 16717, 16400, 16402, 16393, 16741, 16641, 20927, 23273, 16715, 57751, 17161, 43921, 23759, 16604, 16443, 16442, 16442, 16415, 23965, 16406, 16444, 16443, 16444, 16397, 39107, 35857, 16807, 16992, 21766, 16672, 16811, 23273, 16395, 16674, 18295, 18474, 18494, 57850, 51012, 22747, 16604, 16391, 30348, 22776, 16392, 16807, 16992, 43117, 17655, 16641, 23273, 16396, 16665, 18883, 19474, 16604, 16443, 16442, 16442, 16415, 23965, 16407, 16444, 16395, 16604, 16442, 16415, 23965, 16408, 16444, 16443, 16444, 16397, 18523, 16395, 16647, 17917, 16673, 16604, 16393, 16431, 16453, 16393, 16426, 16744, 16717, 16400, 16402, 16674, 17073, 18814, 16672, 43921, 23759, 20397, 31797, 16397, 16582, 16582, 43670, 20369, 23204, 16721, 18462, 16604, 16393, 35270, 30603, 16717, 16400, 16402, 16393, 35857, 57751, 22999, 16396, 29690, 25341, 16604, 16443, 16442, 16442, 16415, 23965, 16406, 16444, 16395, 16604, 16442, 16415, 23965, 16407, 16444, 16443, 16444, 16395, 16674, 24396, 18230, 27287, 16673, 43921, 23759, 16395, 17789, 63293, 16673, 16766, 16746, 55786, 22402, 16604, 16443, 16442, 16442, 16415, 23965, 16400, 16399, 16444, 16396, 16396, 16442, 16415, 23965, 16400, 16401, 16444, 16443, 16444, 16395, 22036, 43764, 18057, 16604, 16443, 16442, 16442, 16415, 23965, 16400, 16402, 16444, 16443, 16444, 16395, 19800, 20825, 16673, 49106, 20962, 19208, 16604, 16443, 16442, 16442, 16415, 23965, 16400, 16402, 16444, 16395, 16604, 16442, 16415, 23965, 16400, 16403, 16444, 16443, 16444, 16395, 61473, 22036, 19208, 33582, 16604, 16443, 16442, 16442, 16415, 23965, 16400, 16403, 16444, 16443, 16444, 16395, 16785, 27689, 16649, 16699, 18161, 16642, 23311, 16870, 16604, 16402, 16396, 22326, 16954, 33582, 16604, 16443, 16442, 16442, 16415, 23965, 16400, 16404, 16444, 16443, 16444, 16397, 19814, 17213, 18466, 17123, 16858, 16703, 21646, 16395, 16641, 17769, 20287, 16673, 16647, 27287, 19423, 16672, 43921, 18865, 16674, 23759, 16872, 18352, 16671, 34669, 16604, 16443, 16442, 16442, 16415, 23965, 16400, 16405, 16444, 16395, 16604, 16442, 16415, 23965, 16400, 16406, 16444, 16443, 16444, 16397, 16582, 16582, 19494, 16673, 16647, 18474, 21264, 22163, 17405, 16734, 43921, 16715, 44253, 19165, 16672, 16647, 16796, 21332, 16704, 28854, 16874, 51968, 16856, 16604, 16391, 26234, 16432, 16392, 16395, 16944, 16872, 25750, 17204, 52386, 16674, 20349, 20176, 16672, 19147, 17187, 22399, 16396, 56304, 16396, 44612, 16604, 16393, 16431, 16397, 39537, 16845, 17603, 16768, 16393, 16704, 39249, 16397, 18523, 16395, 40510, 16673, 38721, 16432, 23759, 43209, 16671, 42836, 16811, 21084, 16672, 19147, 16673, 20209, 43921, 23759, 16604, 16443, 16442, 16442, 16415, 23965, 16400, 16407, 16444, 16395, 16604, 16442, 16415, 23965, 16400, 16408, 16444, 16443, 16444, 16397, 31948, 38721, 16432, 23759, 16704, 28056, 16809, 18846, 38721, 16432, 18519, 47256, 20176, 24734, 16604, 16391, 19234, 16477, 16404, 16399, 16477, 16392, 19795, 16674, 32718, 17117, 16465, 24384, 46202, 20627, 16672, 24157, 17187, 16759, 23328, 16396, 16396, 26234, 16432, 16704, 16672, 17231, 16674, 43921, 23759, 16704, 18545, 16604, 16443, 16442, 16442, 16415, 23965, 16400, 16407, 16444, 16395, 16604, 16442, 16415, 23965, 16400, 16408, 16444, 16443, 16444, 16397, 21869, 16665, 27732, 34439, 16673, 38721, 16432, 23759, 18379, 28886, 22776, 16672, 16604, 16393, 35270, 16450, 20940, 16393, 16674, 16774, 16396, 16707, 16938, 18698, 16673, 16641, 19599, 16709, 47990, 16604, 16404, 16721, 19497, 16785, 16704, 53956, 16671, 16604, 16393, 35270, 16460, 25291, 16400, 16393, 16604, 16443, 16442, 16442, 16415, 23965, 16401, 16399, 16444, 16443, 16444, 16397, 38721, 16432, 23759, 16704, 17027, 19970, 16734, 16667, 53316, 16673, 16604, 16393, 16938, 25372, 22294, 16642, 20448, 16393, 16674, 16604, 16393, 27101, 16393, 16604, 16443, 16442, 16442, 16415, 23965, 16401, 16400, 16444, 16395, 16604, 16442, 16415, 23965, 16401, 16401, 16444, 16443, 16444, 16397, 24392, 16395, 16671, 19346, 17028, 25013, 16872, 16992, 20916, 16715, 38721, 16432, 23759, 16397, 54837, 23759, 16671, 17490, 43921, 16674, 38721, 16432, 16672, 16647, 17396, 56114, 19971, 16872, 30930, 16641, 17322, 16715, 17231, 16673, 31553, 22332, 22595, 16672, 18244, 44253, 16396, 16806, 23184, 24157, 17187, 31086, 17123, 16807, 21999, 34792, 16604, 16443, 16442, 16442, 16415, 23965, 16400, 16407, 16444, 16395, 16604, 16442, 16415, 23965, 16401, 16402, 16444, 16443, 16444, 16397, 38403, 16395, 16848, 44037, 16784, 16856, 16604, 16391, 56687, 16432, 16392, 16872, 16992, 22738, 16715, 22332, 16734, 43921, 16674, 38721, 16432, 18201, 16647, 43335, 19938, 38721, 16432, 16674, 55089, 16432, 20301, 16807, 16709, 16604, 16393, 35270, 16460, 25291, 16400, 16393, 20600, 17679, 28593, 16604, 16391, 38470, 16437, 16392, 16395, 16741, 38721, 16432, 38637, 56565, 16604, 16393, 35270, 16460, 25291, 16400, 16393, 16719, 44482, 16395, 17437, 55089, 16432, 34950, 56565, 16604, 16393, 35270, 16460, 25291, 16400, 16393, 16719, 44482, 16604, 16443, 16442, 16442, 16415, 23965, 16400, 16407, 16444, 16443, 16444, 16397, 16582, 16582, 17894, 17015, 16673, 16647, 25650, 18513, 25097, 16395, 16604, 16400, 16404, 16406, 20148, 16754, 16791, 24963, 54511, 16958, 21715, 16815, 17142, 21186, 16672, 25503, 45068, 16734, 16641, 18898, 16673, 16672, 37154, 38759, 22833, 33293, 16397, 19525, 17213, 54511, 16395, 16604, 16405, 16407, 16958, 19995, 16396, 52686, 16665, 16395, 16674, 16641, 17242, 16396, 17793, 16673, 16604, 16402, 16405, 54511, 29054, 16715, 16914, 16778, 21218, 16477, 16399, 16396, 16396, 16402, 16455, 16477, 49494, 16397, 25453, 16641, 17362, 16396, 45892, 35457, 16604, 16391, 28315, 16428, 16392, 18487, 36722, 16661, 34803, 16715, 16647, 17154, 18545, 16604, 16393, 35270, 30603, 16717, 16400, 16402, 16393, 37394, 16604, 16391, 16418, 16404, 16407, 16399, 16440, 16392, 16674, 16702, 19386, 41102, 16395, 16604, 16393, 35270, 30603, 16717, 16400, 16402, 16393, 57863, 23238, 35857, 16958, 23679, 16715, 32345, 16734, 17490, 56114, 16672, 37154, 38759, 18519, 16396, 16459, 17447, 16674, 16672, 36523, 56114, 16778, 21218, 16477, 16399, 16396, 16396, 16402, 16455, 16477, 25341, 20627, 16397, 16772, 19335, 16604, 16391, 16400, 16392, 21766, 54511, 32455, 16604, 16393, 35270, 30603, 16717, 16400, 16402, 16393, 35857, 16395, 16850, 53666, 19800, 16778, 21218, 16477, 16399, 16396, 16396, 16402, 16455, 16477, 25341, 49494, 16604, 16391, 16644, 32890, 16671, 16741, 45433, 16795, 54511, 16392, 16395, 27742, 16721, 16862, 16845, 16977, 17032, 16604, 16393, 35270, 30603, 16717, 16400, 16402, 16393, 17123, 16703, 19423, 16672, 43921, 23759, 16410, 16604, 16391, 16401, 16392, 25402, 16641, 17009, 24426, 17415, 16759, 16404, 16407, 16403, 16437, 16674, 19800, 22999, 16396, 29690, 25341, 16410, 16674, 16395, 16604, 16391, 16402, 16392, 27024, 16641, 38721, 16432, 16396, 44612, 46585, 18493, 17213, 54511, 16395, 23354, 16734, 16977, 20369, 16815, 16811, 44253, 16396, 16806, 23184, 19599, 16397, 21604, 16986, 16704, 16641, 18354, 24426, 17415, 16604, 16393, 35270, 30603, 16717, 16400, 16402, 16393, 35857, 16674, 19800, 22999, 16396, 29690, 25341, 16395, 35857, 16672, 16604, 16393, 35270, 30603, 16717, 16400, 16402, 16393, 16769, 16804, 19865, 16715, 16811, 43921, 23759, 49494, 16397, 26713, 16395, 16672, 36523, 38721, 16432, 23759, 16704, 17875, 18493, 17213, 19995, 16396, 52686, 16665, 36012, 52339, 54511, 16395, 16944, 16868, 24190, 18613, 22012, 16673, 38721, 16432, 23759, 27287, 16397, 16582, 16582, 41751, 16604, 16474, 16386, 37256, 16401, 16476, 16582, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16582, 16582, 21970, 56114, 23375, 16958, 21715, 16734, 24608, 26535, 16815, 18873, 32550, 16672, 16647, 25650, 18513, 18077, 16672, 16647, 16739, 17034, 16642, 16674, 53849, 16649, 21186, 20186, 16672, 21994, 45068, 16397, 25676, 20184, 16673, 16811, 18077, 16395, 16647, 59039, 16395, 16674, 16647, 21903, 16674, 29105, 50982, 16807, 16992, 19074, 16672, 18686, 26350, 16604, 16443, 16442, 16442, 16415, 23965, 16404, 16444, 16443, 16444, 16397, 16582, 16582, 47409, 16396, 52686, 16725, 16674, 24316, 16673, 25650, 18513, 54511, 16604, 16474, 16386, 37256, 16402, 16476, 16582, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16582, 16582, 19315, 56114, 23375, 16958, 23980, 17131, 34670, 22782, 16809, 30670, 18603, 28455, 16672, 45068, 16395, 16767, 28178, 18059, 16674, 16767, 16647, 29503, 16700, 16397, 16751, 16397, 35860, 18795, 16673, 20861, 19218, 16397, 27971, 16396, 52686, 16725, 16673, 54511, 16763, 29269, 16809, 16681, 17431, 16661, 20148, 16754, 16791, 24963, 18651, 23858, 30006, 18901, 19546, 19487, 16604, 16391, 16456, 16433, 19634, 16466, 16392, 16721, 16955, 16992, 23590, 16734, 29921, 17987, 19465, 16820, 16397, 18880, 16676, 19127, 16958, 26447, 16672, 21012, 18206, 19546, 16604, 16391, 16430, 16394, 16392, 16674, 43228, 16659, 23223, 18076, 16778, 22931, 16424, 18691, 23858, 16604, 16400, 16401, 16397, 16404, 16388, 27540, 16394, 18331, 29756, 33651, 16604, 16391, 48982, 16672, 47636, 16674, 63820, 16392, 16397, 42924, 17342, 16958, 21568, 16672, 44555, 32773, 18619, 16674, 16695, 43432, 16734, 16604, 16400, 16388, 16830, 16477, 16401, 16477, 16398, 16404, 16388, 23593, 16477, 16401, 16477, 16398, 36412, 16793, 16477, 16401, 16477, 20074, 16674, 44741, 16734, 29992, 16604, 16391, 16404, 16399, 18331, 16465, 19673, 16392, 16672, 16641, 16604, 16402, 16406, 18331, 21896, 16418, 32773, 17662, 18331, 16391, 37208, 19471, 16604, 16442, 16400, 16444, 16391, 16386, 24197, 18311, 16428, 16400, 16392, 16474, 18452, 16396, 18926, 16412, 16385, 29743, 16385, 16476, 16392, 16397, 16582, 16582, 44628, 35761, 16604, 16474, 16386, 37256, 16403, 16476, 16582, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16582, 16582, 27498, 19923, 18651, 16958, 35265, 16815, 24052, 25256, 16604, 16391, 18105, 17392, 16392, 16674, 19995, 16396, 52686, 16665, 18651, 17655, 16739, 22791, 18517, 23642, 41474, 26193, 21493, 17359, 29699, 16715, 45554, 16604, 16400, 16405, 16604, 16391, 16431, 22791, 18517, 26593, 16397, 16395, 32642, 16395, 47272, 16395, 21119, 16392, 16674, 62984, 23315, 16604, 16391, 16432, 21367, 18433, 23642, 28655, 36704, 29699, 16392, 18331, 58317, 38692, 16395, 22358, 16395, 18745, 16671, 28488, 26084, 16397, 16582, 16582, 27498, 36722, 16661, 16604, 16474, 16386, 37256, 16404, 16476, 16582, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16582, 16582, 53361, 16673, 16641, 17362, 16396, 45892, 35457, 16604, 16391, 28315, 16428, 16392, 34803, 16671, 20503, 27319, 16715, 35857, 17473, 34226, 22363, 18583, 16604, 16404, 16407, 16399, 16672, 16647, 16604, 16393, 35270, 30603, 16717, 16400, 16402, 16393, 54451, 16397, 16772, 19035, 38206, 16604, 16391, 16404, 29084, 16396 ]
[ 0, 16424, 26843, 17692, 21156, 16604, 16391, 24940, 16435, 16396, 16400, 16400, 16395, 22947, 59192, 25175, 16392, 16604, 16396, 16396, 16641, 19878, 16656, 17574, 48362, 16395, 17969, 16396, 42157, 37878, 30403, 16673, 16647, 20282, 32847, 16666, 17819, 27798, 16849, 23094, 27225, 16604, 16396, 16396, 16704, 16647, 19749, 16673, 17534, 16672, 16647, 19165, 16673, 22656, 60791, 20053, 17014, 16604, 16404, 16396, 32389, 16658, 19066, 18990, 16604, 16391, 16404, 16396, 60833, 16392, 16396, 19338, 22595, 16872, 21431, 16604, 16391, 16442, 16418, 51812, 16604, 16393, 16688, 16813, 16393, 16395, 16604, 16401, 16399, 16399, 16400, 16444, 16391, 16386, 54690, 16404, 16392, 16474, 18452, 16396, 18926, 16412, 16385, 17252, 16385, 16476, 16392, 16397, 34153, 20448, 26364, 16807, 25402, 24431, 19208, 20627, 16673, 16604, 16400, 16405, 16396, 16396, 16401, 16406, 16388, 16672, 18225, 50288, 18873, 16395, 16734, 29991, 21085, 16673, 20062, 16672, 16641, 18613, 16604, 16403, 16399, 16396, 16396, 16405, 16399, 16388, 16673, 18873, 16604, 16391, 16442, 16433, 16860, 17478, 16604, 16393, 16688, 16813, 16393, 16395, 16604, 16400, 16408, 16408, 16406, 16444, 16391, 16386, 54690, 16400, 16402, 16392, 16474, 18452, 16396, 18926, 16412, 16385, 17252, 16385, 16476, 16410, 16604, 16442, 37693, 32029, 24650, 16604, 16393, 16688, 16813, 16393, 16395, 16604, 16400, 16408, 16408, 16408, 16444, 16391, 16386, 54690, 16400, 16406, 16392, 16474, 18452, 16396, 18926, 16412, 16385, 17252, 16385, 16476, 16392, 16397, 18426, 17060, 20562, 25341, 20627, 16673, 16903, 16671, 16604, 16400, 16399, 18355, 16769, 60781, 17014, 20333, 16642, 17692, 21156, 16704, 17405, 16672, 17221, 30869, 16398, 18452, 17297, 17029, 60791, 20053, 16604, 16391, 16442, 18564, 16706, 18386, 16604, 16393, 16688, 16813, 16393, 16395, 16604, 16400, 16408, 16408, 16402, 16444, 16391, 16386, 54690, 16400, 16404, 16392, 16474, 18452, 16396, 18926, 16412, 16385, 17252, 16385, 16476, 16410, 16604, 16442, 37592, 17175, 20434, 16604, 16393, 16688, 16813, 16393, 16395, 16604, 16400, 16408, 16408, 16405, 16444, 16391, 16386, 54690, 16400, 16401, 16392, 16474, 18452, 16396, 18926, 16412, 16385, 17252, 16385, 16476, 16395, 16604, 16442, 16400, 16408, 16408, 16408, 16444, 16391, 16386, 54690, 16400, 16400, 16392, 16474, 18452, 16396, 18926, 16412, 16385, 17252, 16385, 16476, 16410, 16604, 16442, 16431, 16654, 16701, 16604, 16393, 16688, 16813, 16393, 16395, 16604, 16400, 16408, 16408, 16406, 16444, 16391, 16386, 54690, 16400, 16399, 16392, 16474, 18452, 16396, 18926, 16412, 16385, 17252, 16385, 16476, 16410, 16604, 16442, 16433, 16860, 17478, 16604, 16393, 16688, 16813, 16393, 16395, 16604, 16400, 16408, 16408, 16406, 16444, 16391, 16386, 54690, 16400, 16402, 16392, 16474, 18452, 16396, 18926, 16412, 16385, 17252, 16385, 16476, 16410, 16604, 16442, 37693, 32029, 24650, 16604, 16393, 16688, 16813, 16393, 16395, 16604, 16400, 16408, 16408, 16408, 16444, 16391, 16386, 54690, 16400, 16406, 16392, 16474, 18452, 16396, 18926, 16412, 16385, 17252, 16385, 16476, 16392, 16397, 21821, 20158, 21876, 23991, 26364, 30900, 16647, 34792, 16674, 20215, 16673, 20333, 16642, 17692, 21156, 16395, 18211, 16604, 16404, 16396, 60833, 22155, 16672, 22656, 60791, 20053, 16395, 16807, 25402, 18650, 27111, 16672, 25341, 19739, 16734, 17514, 32007, 17534, 16674, 16604, 16404, 16396, 60833, 16604, 16391, 16442, 16418, 51812, 16604, 16393, 16688, 16813, 16393, 16395, 16604, 16400, 16408, 16408, 16407, 16444, 16391, 16386, 54690, 16405, 16392, 16474, 18452, 16396, 18926, 16412, 16385, 17252, 16385, 16476, 16410, 16604, 16442, 16433, 16860, 17478, 16604, 16393, 16688, 16813, 16393, 16395, 16604, 16400, 16408, 16408, 16407, 16444, 16391, 16386, 54690, 16400, 16403, 16392, 16474, 18452, 16396, 18926, 16412, 16385, 17252, 16385, 16476, 16392, 16397, 16772, 17736, 29175, 19122, 37331, 19165, 16734, 20333, 16642, 17692, 21156, 16672, 17213, 26364, 16958, 44237, 42851, 16448, 16395, 24084, 18134, 49592, 16395, 35201, 16395, 47967, 16674, 49833, 16397, 16582, 16582, 24346, 16604, 16402, 16404, 16399, 20464, 26605, 20464, 16460, 16445, 25296, 16401, 16445, 16741, 16667, 62500, 51020, 17155, 16604, 16402, 19105, 16704, 16647, 19749, 23925, 46270, 16673, 20333, 16642, 17692, 21156, 16395, 32344, 59675, 19923, 23239, 16673, 20333, 16642, 17692, 21156, 16396, 16459, 16935, 16877, 16674, 16647, 20432, 30213, 16943, 28886, 16396, 16402, 16407, 16396, 16459, 16935, 16877, 24195, 17415, 20470, 16604, 16391, 16442, 16439, 16855, 16604, 16393, 16688, 16813, 16393, 16395, 16604, 16401, 16399, 16399, 16401, 16444, 16391, 16386, 54690, 16400, 16407, 16392, 16474, 18452, 16396, 18926, 16412, 16385, 17252, 16385, 16476, 16392, 16397, 17170, 17123, 16703, 32644, 16671, 22383, 16672, 16647, 19415, 16673, 16647, 40665, 16721, 30213, 17146, 20333, 16642, 17692, 21156, 16395, 35546, 61489, 24383, 16737, 16954, 16715, 28886, 16396, 16402, 16407, 16397, 26713, 16395, 16647, 24579, 17361, 58706, 20475, 23659, 16671, 28886, 16396, 16402, 16407, 16872, 16992, 21766, 16741, 16667, 17889, 37145, 16795, 16673, 41712, 16604, 16391, 16442, 30295, 18894, 38597, 16604, 16393, 16688, 16813, 16393, 16395, 16604, 16401, 16399, 16399, 16401, 16444, 16391, 16386, 54690, 16407, 16392, 16474, 18452, 16396, 18926, 16412, 16385, 17252, 16385, 16476, 16392, 16397, 16582, 16582, 19231, 16647, 17396, 17005, 16395, 16986, 16704, 35551, 19591, 16673, 16641, 26043, 16396, 16396, 25957, 18774, 16395, 16674, 20821, 16641, 47997, 16715, 20209, 33174, 17014, 18230, 16397, 16875, 16641, 21876, 16687, 21459, 16809, 16604, 16442, 20123, 21357, 18249, 16604, 16393, 16688, 16813, 16393, 16604, 16391, 16400, 16408, 16408, 16404, 16392, 16444, 16391, 16386, 54690, 16400, 16392, 16474, 18452, 16396, 18926, 16412, 16385, 17252, 16385, 16476, 16395, 16986, 16958, 17142, 23925, 33174, 16409, 16604, 16402, 16404, 16399, 20464, 26605, 20464, 16460, 16445, 25296, 16401, 16445, 17714, 17362, 16396, 53033, 16685, 19490, 41968, 16674, 16604, 16405, 16399, 16399, 20464, 26605, 20464, 16460, 16445, 25296, 16401, 16445, 16734, 17362, 16396, 53033, 16685, 19490, 41968, 16397, 18419, 16647, 23956, 16673, 16917, 17599, 24041, 22140, 16767, 16604, 16401, 16405, 16399, 20464, 26605, 20464, 16460, 16445, 25296, 16401, 16445, 16395, 16858, 24431, 24739, 16958, 21852, 16767, 26043, 19415, 18568, 16604, 16402, 16404, 16399, 20464, 26605, 20464, 16460, 16445, 25296, 16401, 16445, 16397, 16604, 16442, 16428, 17604, 16663, 17042, 16604, 16393, 16688, 16813, 16393, 16604, 16391, 16400, 16408, 16408, 16406, 16392, 16444, 16391, 16386, 54690, 16408, 16392, 16474, 18452, 16396, 18926, 16412, 16385, 17252, 16385, 16476, 19194, 18613, 17564, 16715, 16811, 16815, 16641, 21876, 16687, 21459, 16672, 16944, 16667, 19800, 53156, 19208, 16763, 18215, 16767, 16667, 20333, 16642, 17692, 21156, 26043, 17743, 16673, 16604, 16404, 16399, 16399, 20464, 26605, 20464, 16460, 16445, 25296, 16401, 16445, 16397, 16582, 16582, 34544, 16395, 17213, 17586, 18510, 16721, 16641, 22184, 16396, 53033, 21084, 16715, 21419, 16673, 20333, 16642, 17692, 21156, 17123, 16804, 16703, 29682, 16715, 16858, 18873, 16395, 28065, 28990, 19165, 16397, 16772, 17361, 58706, 40848, 16672, 32344, 59675, 19923, 23239, 16674, 26043, 16396, 16396, 25957, 18774, 19194, 16647, 47997, 16715, 30900, 16641, 26043, 22424, 21085, 21084, 16715, 20333, 16642, 17692, 21156, 16604, 16391, 16442, 17822, 16775, 16701, 16604, 16393, 16688, 16813, 16393, 16395, 16604, 16400, 16408, 16408, 16404, 16444, 16391, 16386, 54690, 16403, 16392, 16474, 18452, 16396, 18926, 16412, 16385, 17252, 16385, 16476, 16392, 16397, 16772, 17875, 18077, 28020, 17476, 23575, 16395, 17655, 33174, 16673, 20333, 16642, 17692, 21156, 16903, 16671, 16604, 16404, 16399, 16399, 20464, 26605, 20464, 16460, 16445, 25296, 16401, 16445, 16395, 16741, 18494, 16396, 35113, 22595, 16672, 16647, 19165, 16673, 18873, 16734, 57722, 60791, 20053, 37116, 16671, 16604, 16404, 16396, 60833, 16397, 16582, 16582, 60544, 16434, 16582, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16582, 16582, 56666, 16582, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16582, 16582, 16420, 20490, 18688, 25145, 19618, 57722, 16395, 17884, 31030, 25736, 46264, 17139, 25113, 16642, 20740, 16673, 16647, 24222, 16785, 28433, 16768, 53740, 16709, 16604, 16404, 16396, 60833, 16396, 19338, 39031, 16604, 16391, 16705, 22209, 19959, 16674, 16398, 16658, 16664, 56663, 16392, 16410, 21419, 16673, 19586, 16486, 16505, 16401, 16604, 16404, 16396, 60833, 16396, 19338, 17198, 36993, 16672, 16647, 16911, 22209, 19959, 20989, 16785, 19586, 16486, 16505, 16400, 16672, 16647, 16664, 56663, 20989, 16410, 18671, 19218, 29317, 16604, 16391, 53550, 16392, 18980, 20584, 16604, 16391, 19725, 16392, 16673, 19586, 16486, 16505, 16401, 16410, 29258, 16766, 65529, 18918, 16395, 40956, 16674, 58095, 17917, 16397, 17812, 21462, 25145, 19618, 19421, 19165, 16734, 17772, 27720, 25590, 16954, 16396, 16424, 41338, 16410, 19591, 16673, 20854, 27371, 17434, 37232, 17779, 16410, 19421, 18496, 16673, 25917, 44237, 42851, 16448, 16410, 17788, 24493, 16410, 16785, 16998, 16977, 19348, 24202, 16785, 19428, 20249, 16397, 16582, 16582, 42888, 17802, 16674, 19572, 16582, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16582, 16582, 17635, 16763, 16641, 33667, 16395, 21179, 17845, 16395, 40601, 16682, 16644, 16395, 17671, 16396, 19974, 16395, 21876, 20448, 18077, 16397, 16772, 18077, 16763, 22546, 16672, 25828, 16734, 16647, 41504, 16673, 53175, 16604, 16391, 56360, 25210, 37173, 16395, 16604, 16400, 16408, 16407, 16408, 16392, 16674, 16734, 16647, 24606, 16673, 16647, 37868, 21217, 16604, 16391, 17071, 32748, 21242, 20738, 16392, 16767, 17492, 27880, 23001, 16397, 44138, 24608, 26535, 16763, 21715, 16815, 17492, 20475, 19421, 16671, 16888, 16785, 16968, 55495, 16797, 17065, 16647, 21459, 16397, 17008, 21191, 46426, 21217, 24468, 29998, 16647, 20215, 16674, 34792, 18707, 16674, 28112, 16647, 19572, 16673, 16647, 18077, 16980, 18964, 16397, 17008, 51862, 33160, 21242, 21217, 16604, 16391, 17528, 23089, 16392, 29998, 53156, 24739, 17714, 19461, 16673, 16647, 21179, 21085, 20775, 16397, 16772, 20199, 16673, 16647, 18077, 16763, 16671, 21349, 16647, 29682, 16670, 19237, 21084, 16672, 19246, 16673, 34792, 16674, 20215, 16673, 18494, 16396, 35113, 20333, 16642, 17692, 21156, 16604, 16391, 17770, 18403, 26043, 22424, 21085, 18138, 16709, 20475, 33041, 16671, 19165, 16395, 16785, 22424, 21085, 18138, 16709, 18462, 32320, 18813, 20671, 16392, 16672, 16647, 19165, 16673, 16604, 16404, 16396, 60833, 16396, 44612, 18873, 16734, 57722, 60791, 20053, 16397, 16772, 20618, 34792, 45507, 16763, 16647, 20562, 19208, 18960, 16397, 16582, 16582, 16386, 16386, 16386, 16759, 19237, 31812, 16582, 16582, 56666, 16958, 21179, 17845, 16671, 16917, 16673, 17567, 19318, 16604, 16391, 16416, 16395, 16738, 16674, 16719, 16604, 16391, 16833, 28439, 19057, 16392, 16392, 16395, 17492, 17585, 23228, 20333, 16642, 17692, 21156, 16741, 16641, 16604, 16402, 16399, 20464, 17784, 62500, 51020, 24142, 17155, 16604, 16401, 16400, 17897, 16397, 17170, 16670, 19237, 30950, 17120, 16703, 23447, 16671, 16641, 22745, 16673, 16604, 16402, 16404, 17897, 16672, 16647, 18094, 16673, 35534, 41712, 16671, 17823, 43980, 23553, 16815, 16647, 18722, 23093, 16397, 16759, 21243, 16604, 16443, 16411, 16401, 16404, 16399, 20464, 26605, 20464, 16460, 16445, 25296, 16401, 16445, 16785, 16604, 16443, 16413, 16404, 16399, 16399, 20464, 26605, 20464, 16460, 16445, 25296, 16401, 16445, 16958, 16804, 17405, 16672, 16811, 18077, 16410, 18873, 16929, 35885, 18650, 41712, 16767, 16604, 16401, 16404, 16399, 20464, 26605, 20464, 16460, 16445, 25296, 16401, 16445, 16958, 44170, 16815, 16647, 18077, 16397, 16582, 16582, 23535, 16711, 16763, 16647, 21178, 17585, 16672, 16944, 16641, 22184, 26043, 16673, 16604, 16402, 16404, 16399, 20464, 26605, 20464, 16460, 16445, 25296, 16401, 16445, 16673, 20333, 16642, 17692, 21156, 16763, 32533, 16709, 19581, 16604, 16400, 16397, 16875, 26230, 32587, 16395, 16647, 26043, 16673, 20333, 16642, 17692, 21156, 17120, 16703, 27364, 16604, 16391, 19840, 16804, 19800, 16392, 18745, 16671, 16647, 21057, 16673, 18650, 41712, 16767, 16811, 26043, 16397, 16582, 16582, 47392, 16738, 16674, 16719, 28020, 16670, 19237, 31812, 16671, 21112, 18873, 16715, 21445, 16647, 18846, 26043, 16673, 20333, 16642, 17692, 21156, 16604, 16391, 16404, 16399, 16399, 20464, 26605, 20464, 16460, 16445, 25296, 16401, 16445, 16392, 17120, 16703, 22424, 16834, 17405, 16397, 35275, 21179, 17845, 16671, 19859, 16738, 19151, 20333, 16642, 17692, 21156, 16767, 16641, 20089, 26043, 16673, 16604, 16401, 16404, 16399, 20464, 26605, 20464, 16460, 16445, 25296, 16401, 16445, 20440, 16809, 20209, 33174, 16604, 16391, 16402, 16404, 16399, 16674, 16604, 16404, 16399, 16399, 20464, 26605, 20464, 16460, 16445, 25296, 16401, 16445, 16392, 23451, 16709, 16647, 33041, 21852, 16672, 16647, 38530, 23093, 16397, 16875, 16647, 18094, 16673, 18650, 41712, 16395, 26043, 42350, 16958, 25388, 16397, 16582, 16582, 17071, 19859, 16719, 16395, 16647, 20333, 16642, 17692, 21156, 26043, 16763, 18138, 16709, 25022, 16396, 24071, 41712, 18813, 20671, 21766, 16767, 32320, 16409, 23724, 16604, 16402, 16396, 16396, 16403, 24084, 18134, 49592, 16604, 16391, 42594, 16729, 16910, 16642, 16604, 16443, 16413, 16406, 16399, 16388, 23231, 20776, 16673, 19732, 16604, 16391, 21225, 16427, 16392, 16395, 16766, 16746, 55786, 16604, 16443, 16411, 16400, 16401, 20464, 16454, 20464, 38205, 16445, 25296, 16400, 16445, 16395, 16604, 16443, 16413, 16402, 34600, 19423, 16392, 16674, 16398, 16658, 23724, 16604, 16402, 16396, 16396, 16403, 44237, 42851, 16448, 16604, 16391, 19725, 16542, 16486, 16506, 16400, 16395, 18412, 51665, 16604, 16443, 16413, 16406, 16399, 16388, 21857, 16427, 16604, 16391, 16442, 16421, 20630, 16646, 16604, 16393, 16688, 16813, 16393, 16395, 16604, 16401, 16399, 16399, 16399, 16444, 16391, 16386, 54690, 16406, 16392, 16474, 18452, 16396, 18926, 16412, 16385, 17252, 16385, 16476, 16392, 16392, 16397, 35275, 17120, 16703, 18358, 16767, 16667, 20333, 16642, 17692, 21156, 26043, 16673, 16604, 16404, 16399, 16399, 20464, 26605, 20464, 16460, 16445, 25296, 16401, 16445, 16672, 16647, 25739, 16673 ]
[ 0, 16400, 16397, 35453, 16582, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16582, 16582, 16853, 33319, 16673, 22077, 34730, 16870, 26684, 17139, 16881, 16684, 17229, 16872, 30199, 17240, 17654, 16715, 17490, 24812, 18147, 16674, 30795, 21003, 16672, 16647, 18074, 22231, 16604, 16443, 16442, 16442, 16415, 16417, 16400, 16396, 30276, 16680, 18402, 16466, 16396, 16399, 16401, 16396, 16399, 16399, 16400, 16400, 16402, 16444, 16395, 16442, 16415, 16417, 16401, 16396, 30276, 16680, 18402, 16466, 16396, 16399, 16401, 16396, 16399, 16399, 16400, 16400, 16402, 16444, 16395, 16442, 16415, 16417, 16402, 16396, 30276, 16680, 18402, 16466, 16396, 16399, 16401, 16396, 16399, 16399, 16400, 16400, 16402, 16444, 16395, 16442, 16415, 16417, 16403, 16396, 30276, 16680, 18402, 16466, 16396, 16399, 16401, 16396, 16399, 16399, 16400, 16400, 16402, 16444, 16395, 16442, 16415, 16417, 16404, 16396, 30276, 16680, 18402, 16466, 16396, 16399, 16401, 16396, 16399, 16399, 16400, 16400, 16402, 16444, 16395, 16442, 16415, 16417, 16405, 16396, 30276, 16680, 18402, 16466, 16396, 16399, 16401, 16396, 16399, 16399, 16400, 16400, 16402, 16444, 16443, 16444, 16397, 35032, 34730, 16870, 26684, 17139, 16881, 16684, 17229, 16807, 16992, 21789, 16809, 16641, 19609, 18898, 16673, 35223, 20625, 16395, 16917, 16673, 16944, 25290, 16647, 17815, 47660, 16673, 27732, 17036, 30583, 17035, 16604, 16443, 16442, 16442, 16415, 16417, 16406, 16396, 30276, 16680, 18402, 16466, 16396, 16399, 16401, 16396, 16399, 16399, 16400, 16400, 16402, 16444, 16395, 16442, 16415, 16417, 16407, 16396, 30276, 16680, 18402, 16466, 16396, 16399, 16401, 16396, 16399, 16399, 16400, 16400, 16402, 16444, 16395, 16442, 16415, 16417, 16408, 16396, 30276, 16680, 18402, 16466, 16396, 16399, 16401, 16396, 16399, 16399, 16400, 16400, 16402, 16444, 16395, 16442, 16415, 16417, 16400, 16399, 16396, 30276, 16680, 18402, 16466, 16396, 16399, 16401, 16396, 16399, 16399, 16400, 16400, 16402, 16444, 16395, 16442, 16415, 16417, 16400, 16400, 16396, 30276, 16680, 18402, 16466, 16396, 16399, 16401, 16396, 16399, 16399, 16400, 16400, 16402, 16444, 16395, 16442, 16415, 16417, 16400, 16401, 16396, 30276, 16680, 18402, 16466, 16396, 16399, 16401, 16396, 16399, 16399, 16400, 16400, 16402, 16444, 16395, 16442, 16415, 16417, 16400, 16402, 16396, 30276, 16680, 18402, 16466, 16396, 16399, 16401, 16396, 16399, 16399, 16400, 16400, 16402, 16444, 16395, 16442, 16415, 16417, 16400, 16403, 16396, 30276, 16680, 18402, 16466, 16396, 16399, 16401, 16396, 16399, 16399, 16400, 16400, 16402, 16444, 16443, 16444, 16397, 47094, 48747, 19474, 16872, 19193, 16992, 20140, 16741, 16667, 22547, 22955, 16671, 24005, 17334, 16745, 16656, 24174, 16665, 35082, 26684, 17139, 16881, 16684, 17229, 16604, 16443, 16442, 16442, 16415, 16417, 16406, 16396, 30276, 16680, 18402, 16466, 16396, 16399, 16401, 16396, 16399, 16399, 16400, 16400, 16402, 16444, 16395, 16442, 16415, 16417, 16400, 16399, 16396, 30276, 16680, 18402, 16466, 16396, 16399, 16401, 16396, 16399, 16399, 16400, 16400, 16402, 16444, 16395, 16442, 16415, 16417, 16400, 16404, 16396, 30276, 16680, 18402, 16466, 16396, 16399, 16401, 16396, 16399, 16399, 16400, 16400, 16402, 16444, 16443, 16444, 16674, 16395, 16672, 16991, 19140, 16395, 19857, 22005, 16396, 28420, 16872, 16992, 24086, 16604, 16443, 16442, 16442, 16415, 16417, 16408, 16396, 30276, 16680, 18402, 16466, 16396, 16399, 16401, 16396, 16399, 16399, 16400, 16400, 16402, 16444, 16395, 16442, 16415, 16417, 16400, 16400, 16396, 30276, 16680, 18402, 16466, 16396, 16399, 16401, 16396, 16399, 16399, 16400, 16400, 16402, 16444, 16395, 16442, 16415, 16417, 16400, 16405, 16396, 30276, 16680, 18402, 16466, 16396, 16399, 16401, 16396, 16399, 16399, 16400, 16400, 16402, 16444, 16443, 16444, 16397, 16582, 16582, 19494, 16673, 16647, 33011, 17036, 30583, 17035, 17405, 16715, 27129, 22077, 34730, 18302, 16672, 16647, 23824, 16704, 16604, 16393, 16429, 16393, 16395, 16393, 16429, 16393, 16390, 16396, 64983, 16458, 18161, 16670, 16731, 16456, 17139, 46477, 59241, 16397, 16875, 16811, 26277, 16395, 16647, 48747, 16763, 41008, 17065, 18940, 35434, 17638, 53345, 17274, 16741, 37715, 16694, 18161, 44810, 16856, 36007, 16604, 16391, 53952, 16430, 16392, 17131, 36867, 25203, 16767, 17362, 26809, 16604, 16443, 16442, 16442, 16415, 16417, 16406, 16396, 30276, 16680, 18402, 16466, 16396, 16399, 16401, 16396, 16399, 16399, 16400, 16400, 16402, 16444, 16395, 16442, 16415, 16417, 16407, 16396, 30276, 16680, 18402, 16466, 16396, 16399, 16401, 16396, 16399, 16399, 16400, 16400, 16402, 16444, 16395, 16442, 16415, 16417, 16408, 16396, 30276, 16680, 18402, 16466, 16396, 16399, 16401, 16396, 16399, 16399, 16400, 16400, 16402, 16444, 16395, 16442, 16415, 16417, 16400, 16399, 16396, 30276, 16680, 18402, 16466, 16396, 16399, 16401, 16396, 16399, 16399, 16400, 16400, 16402, 16444, 16395, 16442, 16415, 16417, 16400, 16400, 16396, 30276, 16680, 18402, 16466, 16396, 16399, 16401, 16396, 16399, 16399, 16400, 16400, 16402, 16444, 16443, 16444, 16397, 35032, 25235, 16391, 58384, 18161, 16757, 36022, 17099, 16392, 16604, 16443, 16442, 16442, 16415, 16417, 16400, 16401, 16396, 30276, 16680, 18402, 16466, 16396, 16399, 16401, 16396, 16399, 16399, 16400, 16400, 16402, 16444, 16443, 16444, 16674, 22077, 55221, 16673, 53180, 16471, 25463, 16758, 16604, 16443, 16442, 16442, 16415, 16417, 16400, 16406, 16396, 30276, 16680, 18402, 16466, 16396, 16399, 16401, 16396, 16399, 16399, 16400, 16400, 16402, 16444, 16395, 16442, 16415, 16417, 16400, 16407, 16396, 30276, 16680, 18402, 16466, 16396, 16399, 16401, 16396, 16399, 16399, 16400, 16400, 16402, 16444, 16395, 16442, 16415, 16417, 16400, 16408, 16396, 30276, 16680, 18402, 16466, 16396, 16399, 16401, 16396, 16399, 16399, 16400, 16400, 16402, 16444, 16443, 16444, 16807, 17027, 16992, 17405, 16741, 17036, 30583, 17035, 16671, 24005, 26684, 17139, 16881, 47025, 16856, 34730, 18302, 16673, 45480, 16395, 35285, 16460, 17997, 16785, 17474, 19565, 26048, 16689, 47424, 16767, 16604, 16400, 16404, 16399, 16396, 16396, 16403, 16399, 16399, 31694, 16418, 16397, 16999, 16763, 17494, 16721, 26462, 19300, 17274, 16741, 16733, 21107, 17094, 17288, 19714, 16856, 16604, 16391, 16423, 20628, 16392, 16395, 37715, 16694, 18161, 44810, 16856, 16604, 16391, 53952, 16392, 16785, 25348, 16698, 18161, 44810, 16856, 16604, 16391, 16435, 29209, 16392, 17120, 19251, 16647, 22570, 21452, 16715, 16647, 53180, 16471, 25463, 16758, 17036, 30583, 17035, 16397, 37460, 16395, 16986, 16769, 17027, 18295, 20369, 16709, 16647, 26277, 16673, 16640, 17458, 16936, 16674, 22077, 34730, 16870, 26684, 17139, 16881, 16684, 17229, 19565, 16647, 47660, 16673, 64130, 58985, 19491, 18161, 16758, 17036, 30583, 17035, 16604, 16443, 16442, 16442, 16415, 16417, 16401, 16399, 16396, 30276, 16680, 18402, 16466, 16396, 16399, 16401, 16396, 16399, 16399, 16400, 16400, 16402, 16444, 16395, 16442, 16415, 16417, 16401, 16400, 16396, 30276, 16680, 18402, 16466, 16396, 16399, 16401, 16396, 16399, 16399, 16400, 16400, 16402, 16444, 16395, 16442, 16415, 16417, 16401, 16401, 16396, 30276, 16680, 18402, 16466, 16396, 16399, 16401, 16396, 16399, 16399, 16400, 16400, 16402, 16444, 16395, 16442, 16415, 16417, 16401, 16402, 16396, 30276, 16680, 18402, 16466, 16396, 16399, 16401, 16396, 16399, 16399, 16400, 16400, 16402, 16444, 16395, 16442, 16415, 16417, 16401, 16403, 16396, 30276, 16680, 18402, 16466, 16396, 16399, 16401, 16396, 16399, 16399, 16400, 16400, 16402, 16444, 16443, 16444, 16397, 20361, 16673, 17213, 24903, 21308, 16395, 38697, 16395, 18616, 32718, 16785, 17627, 39194, 16661, 26809, 16397, 16582, 16582, 17071, 16811, 19420, 16395, 16742, 17556, 16641, 46034, 48747, 18197, 21863, 16767, 18392, 21452, 16715, 16647, 33319, 16673, 19001, 22077, 34730, 16870, 26684, 17139, 16881, 16684, 17229, 16397, 16772, 17036, 30583, 17035, 16742, 17231, 16769, 22077, 64130, 17080, 16652, 24567, 17099, 16604, 16443, 16442, 16428, 16477, 16471, 16477, 16391, 21066, 20523, 16477, 16405, 16477, 16423, 16477, 16404, 16477, 16392, 16477, 16472, 16477, 16785, 19325, 34701, 16417, 16443, 16444, 16397, 18708, 34701, 16417, 17036, 30583, 17035, 16769, 18398, 16396, 34041, 16674, 17120, 16703, 32035, 21789, 16815, 64130, 17080, 16652, 24567, 16675, 22363, 16674, 16647, 24284, 22077, 55221, 18211, 16647, 18365, 23824, 18197, 16604, 16443, 16442, 16442, 16415, 16417, 16401, 16404, 16396, 30276, 16680, 18402, 16466, 16396, 16399, 16401, 16396, 16399, 16399, 16400, 16400, 16402, 16444, 16443, 16444, 16397, 17119, 35528, 16647, 17515, 17854, 16673, 16811, 34701, 16417, 18197, 16809, 27129, 17910, 20286, 16673, 19878, 20595, 18257, 17035, 16815, 17490, 23052, 16674, 17736, 17585, 35801, 16409, 19088, 16477, 16401, 16477, 16434, 16395, 31020, 16477, 16401, 25296, 16471, 16477, 16434, 16395, 16875, 16477, 16401, 16477, 16434, 16477, 16402, 16477, 16674, 65347, 16434, 16397, 17119, 17620, 16672, 16811, 17556, 16647, 20445, 16673, 17038, 19474, 16674, 17027, 19443, 16671, 17967, 16647, 22570, 25013, 17181, 30496, 16759, 21605, 60598, 33197, 16604, 16391, 16419, 25051, 16392, 33181, 16397, 18419, 16811, 46979, 19461, 16395, 16742, 26157, 17072, 16671, 41937, 16647, 26343, 16673, 16647, 48747, 16395, 16674, 20781, 16647, 22570, 65251, 16395, 16671, 24339, 17476, 26684, 16837, 54029, 16397, 16582, 16582, 16401, 16397, 49114, 23728, 16582, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16582, 16582, 16401, 16397, 16400, 16397, 26458, 38505, 16673, 20245, 30583, 17035, 16674, 35032, 16702, 20719, 16870, 35485, 17139, 16881, 16684, 17229, 16582, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16582, 16582, 17861, 17043, 18296, 18125, 28937, 17274, 16741, 64130, 17080, 16652, 24567, 16675, 22363, 16604, 16391, 59018, 19574, 16392, 16395, 56034, 16395, 42680, 16395, 32907, 16462, 17024, 16604, 16391, 16828, 16815, 16832, 16397, 16700, 16397, 31319, 16392, 16395, 35981, 16660, 51328, 20395, 16758, 16604, 16391, 16419, 60536, 16392, 16395, 25083, 27617, 23178, 16604, 16391, 31025, 16760, 16392, 16395, 17193, 17997, 49960, 16604, 16391, 59018, 19574, 16392, 16395, 17263, 34340, 16654, 55873, 16395, 35285, 16460, 17997, 57537, 16395, 31844, 49960, 16395, 16604, 16401, 16395, 16401, 16390, 16396, 16449, 16919, 20593, 41768, 16395, 34307, 18161, 27957, 16395, 16670, 17197, 17288, 19714, 16856, 16674, 16653, 17949, 19714, 16856, 16604, 16391, 16828, 16815, 33381, 22837, 16392, 16958, 17405, 16741, 19151, 16397, 16582, 16582, 19315, 16673, 16647, 34701, 16417, 17036, 30583, 17035, 17405, 16672, 16811, 19420, 16604, 16391, 16428, 16604, 16412, 19088, 16395, 31020, 16395, 16875, 16395, 65347, 16410, 36439, 16604, 16412, 64130, 17080, 16652, 24567, 16758, 16392, 16958, 21789, 18745, 16671, 23824, 20625, 16604, 16443, 16442, 16442, 16415, 16417, 16401, 16404, 16396, 30276, 16680, 18402, 16466, 16396, 16399, 16401, 16396, 16399, 16399, 16400, 16400, 16402, 16444, 16443, 16444, 16397, 16772, 19059, 21715, 16958, 33694, 16734, 42680, 16395, 34515, 16395, 16674, 17117, 16881, 47025, 17521, 16815, 32907, 16462, 17024, 16785, 56034, 16397, 28041, 16798, 16673, 16647, 42208, 16763, 25865, 16734, 20338, 36688, 16674, 16914, 47660, 31390, 16958, 28020, 16809, 24838, 16905, 24646, 30139, 17404, 19335, 16604, 16391, 16435, 25360, 16392, 16397, 16582, 16582, 18264, 16647, 33319, 16673, 25083, 34730, 16870, 49319, 16395, 19088, 39147, 16604, 16391, 16402, 59354, 16392, 16763, 50535, 16672, 16671, 18350, 17416, 16604, 16391, 16404, 42346, 16392, 16767, 18392, 21452, 16395, 16674, 17177, 18973, 16734, 16604, 16400, 16397, 16407, 59354, 16673, 16667, 17045, 16856, 16397, 16711, 51361, 18271, 25446, 20075, 22257, 19988, 16674, 16647, 20075, 16763, 50535, 16715, 16641, 18613, 16604, 16402, 18626, 16397, 18916, 16721, 16395, 16604, 16400, 16399, 42346, 16673, 42680, 16763, 18973, 16671, 37820, 29569, 32508, 16672, 16647, 28262, 16397, 16772, 25446, 16785, 19851, 25446, 49319, 16769, 27894, 16809, 52220, 16725, 16395, 33694, 18295, 18032, 16734, 42680, 16674, 43935, 16877, 16395, 16674, 17177, 34515, 17131, 32724, 16397, 16772, 23526, 30938, 16843, 16703, 20283, 16691, 16396, 20129, 24174, 16665, 16672, 16671, 18350, 17416, 16395, 38220, 17716, 16395, 32907, 16462, 17024, 16674, 16977, 17975, 16396, 57094, 17638, 53345, 16397, 16582, 16582, 16853, 26182, 23914, 16704, 18655, 16715, 16647, 33319, 16673, 31844, 34730, 16870, 49319, 16395, 20302, 16721, 16647, 22570, 28262, 19678, 20939, 16674, 16763, 50535, 29867, 16397, 25406, 25446, 16785, 18908, 31844, 34730, 16870, 49319, 16958, 27894, 16395, 16944, 16843, 16703, 16691, 16396, 20129, 24174, 16665, 16672, 17975, 16396, 57094, 17638, 53345, 17274, 16741, 16671, 18350, 17416, 16395, 38220, 17716, 16674, 32907, 16462, 17024, 16397, 16582, 16582, 16853, 33319, 16673, 35285, 16460, 17997, 34730, 16870, 49319, 16704, 18655, 16671, 25083, 34730, 16870, 16674, 31844, 34730, 16870, 16395, 20302, 16721, 16647, 22570, 28262, 19678, 25197, 16674, 16763, 50535, 16715, 16604, 16403, 18626, 16767, 18392, 21452, 16397, 51677, 25197, 17918, 16763, 28344, 16809, 52220, 16725, 17135, 22006, 16604, 16400, 16399, 42346, 16673, 42680, 16397, 16772, 17918, 27894, 16395, 17135, 34066, 16734, 42680, 16674, 43935, 16877, 16395, 16843, 16703, 16691, 16396, 20129, 24174, 16665, 16672, 32907, 16462, 17024, 16395, 38220, 17716, 16674, 16671, 18350, 17416, 16397, 16582, 16582, 18264, 16647, 33319, 16673, 17193, 17997, 34730, 16870, 49319, 16395, 16875, 39147, 16604, 16391, 16399, 16397, 16402, 59354, 16392, 16763, 50535, 16672, 16671, 18350, 17416, 16604, 16391, 16404, 42346, 16392, 16767, 18392, 21452, 16395, 16674, 17177, 16604, 16400, 16397, 16401, 59354, 16673, 34307, 18161, 27957, 16604, 16391, 52405, 16392, 16763, 41008, 16671, 17882, 16641, 25197, 20075, 16397, 18916, 47907, 16715, 16604, 16405, 18626, 16395, 16604, 16400, 16399, 42346, 16673, 42680 ]
[ 0, 19315, 21646, 17586, 16769, 17989, 16647, 19420, 16674, 17073, 52433, 22698, 22456, 16397, 16582, 16582, 38194, 16604, 16474, 16386, 19810, 16399, 16399, 16400, 16476, 16582, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16582, 16582, 16420, 28757, 18373, 16769, 21365, 16741, 16647, 20431, 16721, 19927, 19522, 16671, 20322, 16604, 16443, 16442, 16442, 16415, 16463, 16877, 16397, 16399, 16401, 16402, 16404, 16402, 16401, 16399, 16397, 18452, 16399, 16399, 16400, 16444, 16443, 16444, 16397, 16799, 28757, 16466, 17274, 16741, 33756, 16395, 25370, 20682, 16395, 23274, 16938, 18376, 16395, 33042, 32205, 16395, 16674, 23972, 19147, 18930, 17476, 18373, 16671, 20322, 16397, 18708, 18379, 25610, 16661, 18373, 16604, 16391, 35668, 16395, 17969, 16395, 21135, 16395, 16674, 39533, 16392, 16395, 26080, 18373, 16604, 16391, 21202, 19291, 21531, 16395, 35825, 16395, 20062, 16395, 22421, 16395, 16674, 17969, 30421, 16674, 18950, 16392, 16395, 22122, 18373, 16604, 16391, 16644, 17095, 17194, 20853, 16395, 35741, 16395, 16674, 23569, 19795, 16392, 16395, 16674, 17564, 18373, 16604, 16391, 16909, 16724, 24261, 16395, 21948, 48544, 16395, 16674, 44595, 35199, 16392, 16604, 16443, 16442, 16442, 16415, 16463, 16877, 16397, 16399, 16401, 16402, 16404, 16402, 16401, 16399, 16397, 18452, 16399, 16399, 16400, 16444, 16395, 16604, 16442, 16415, 16463, 16877, 16397, 16399, 16401, 16402, 16404, 16402, 16401, 16399, 16397, 18452, 16399, 16399, 16401, 16444, 16443, 16444, 16397, 19142, 24329, 18373, 16769, 21715, 20206, 16815, 45205, 17714, 16998, 22017, 17194, 17650, 16604, 16443, 16442, 16442, 16415, 16463, 16877, 16397, 16399, 16401, 16402, 16404, 16402, 16401, 16399, 16397, 18452, 16399, 16399, 16400, 16444, 16443, 16444, 16397, 22524, 26080, 16704, 16917, 16673, 17274, 18373, 16395, 16944, 16872, 17369, 22228, 16671, 20322, 16809, 20557, 29258, 18950, 17969, 16674, 27187, 16647, 17969, 23093, 16604, 16443, 16442, 16442, 16415, 16463, 16877, 16397, 16399, 16401, 16402, 16404, 16402, 16401, 16399, 16397, 18452, 16399, 16399, 16402, 16444, 16395, 16604, 16442, 16415, 16463, 16877, 16397, 16399, 16401, 16402, 16404, 16402, 16401, 16399, 16397, 18452, 16399, 16399, 16403, 16444, 16443, 16444, 16397, 16582, 16582, 34482, 26080, 16672, 23047, 45205, 25290, 16647, 22089, 16721, 17391, 17617, 17135, 46312, 16397, 18708, 18379, 60712, 16395, 16971, 16904, 16701, 42603, 50845, 16395, 20293, 16674, 22980, 16713, 18549, 19924, 16395, 61681, 16395, 24910, 45604, 18123, 16395, 17969, 18950, 16395, 16674, 51145, 59657, 20515, 16395, 18493, 18208, 16604, 16443, 16442, 16442, 16415, 16463, 16877, 16397, 16399, 16401, 16402, 16404, 16402, 16401, 16399, 16397, 18452, 16399, 16399, 16400, 16444, 16443, 16444, 16397, 18708, 17969, 16674, 24910, 20664, 16396, 21670, 22089, 16769, 22499, 16809, 19001, 30230, 17957, 16674, 17772, 23040, 20671, 16395, 16741, 17204, 16741, 16809, 24910, 16674, 42878, 19492, 20286, 16397, 16875, 16641, 23047, 17434, 16395, 16641, 22459, 16673, 16647, 22444, 16704, 65199, 16809, 16647, 17772, 16674, 16977, 27440, 16673, 16647, 56974, 16397, 16772, 65199, 22444, 48202, 17099, 16674, 22779, 16671, 16647, 25203, 16395, 17437, 16647, 17975, 16396, 19595, 17289, 16665, 22459, 30864, 16647, 19453, 16674, 19431, 20049, 16673, 16647, 24910, 16604, 16443, 16442, 16442, 16415, 16463, 16877, 16397, 16399, 16401, 16402, 16404, 16402, 16401, 16399, 16397, 18452, 16399, 16399, 16404, 16444, 16443, 16444, 16397, 26694, 19492, 21846, 16667, 17889, 18814, 16672, 40475, 16661, 16395, 39925, 16395, 16674, 22351, 16661, 42686, 16397, 16875, 18150, 16395, 16728, 16704, 16917, 21348, 16721, 16843, 16703, 20206, 47870, 16809, 22515, 26074, 17655, 19670, 38225, 22498, 22202, 16721, 19881, 16673, 17476, 50117, 22658, 16673, 19001, 34762, 17186, 16397, 16582, 16582, 18264, 16647, 20380, 16673, 16811, 18077, 16395, 16742, 21882, 16709, 16647, 22089, 16721, 35735, 17969, 20664, 16395, 20089, 16815, 16647, 56974, 16395, 16671, 16647, 23047, 21100, 16395, 16674, 17065, 16647, 20694, 25607, 16397, 17170, 19497, 16647, 22089, 16673, 17181, 23676, 16395, 27100, 22996, 16395, 16674, 20293, 56294, 16397, 24591, 23676, 27475, 16671, 16647, 18636, 16673, 17969, 16721, 26646, 20206, 17181, 16647, 23047, 56974, 16785, 17859, 17421, 16815, 30127, 16674, 22485, 16673, 22766, 16604, 16443, 16442, 16442, 16415, 16463, 16877, 16397, 16399, 16401, 16402, 16404, 16402, 16401, 16399, 16397, 18452, 16399, 16399, 16405, 16444, 16443, 16444, 16397, 16999, 22982, 16715, 16604, 16405, 16399, 16671, 16604, 16408, 16399, 16388, 16673, 42686, 16604, 16443, 16442, 16442, 16415, 16463, 16877, 16397, 16399, 16401, 16402, 16404, 16402, 16401, 16399, 16397, 18452, 16399, 16399, 16406, 16444, 16443, 16444, 16397, 62112, 22996, 16704, 16647, 28697, 16673, 16647, 17969, 16721, 18526, 16672, 19047, 16734, 16647, 23047, 56974, 16674, 21435, 17285, 16647, 16937, 34844, 16673, 22766, 16674, 55120, 16395, 17329, 17255, 40909, 16709, 16647, 19453, 16604, 16443, 16442, 16442, 16415, 16463, 16877, 16397, 16399, 16401, 16402, 16404, 16402, 16401, 16399, 16397, 18452, 16399, 16399, 16407, 16444, 16395, 16604, 16442, 16415, 16463, 16877, 16397, 16399, 16401, 16402, 16404, 16402, 16401, 16399, 16397, 18452, 16399, 16399, 16408, 16444, 16443, 16444, 16397, 16999, 16704, 18143, 28465, 16672, 42686, 19831, 17172, 16728, 16704, 17796, 16671, 16703, 52896, 16674, 22362, 16671, 20165, 16395, 20278, 17014, 33756, 16769, 28414, 16809, 22831, 16396, 16449, 17004, 16665, 22766, 16604, 16443, 16442, 16442, 16415, 16463, 16877, 16397, 16399, 16401, 16402, 16404, 16402, 16401, 16399, 16397, 18452, 16399, 16400, 16399, 16444, 16396, 16396, 16442, 16415, 16463, 16877, 16397, 16399, 16401, 16402, 16404, 16402, 16401, 16399, 16397, 18452, 16399, 16400, 16401, 16444, 16443, 16444, 16397, 62112, 22996, 19795, 18658, 17415, 16604, 16400, 16671, 16604, 16403, 16388, 16673, 18804, 42686, 16395, 20290, 16991, 19831, 19074, 19795, 16903, 16671, 16604, 16401, 16399, 16388, 16715, 18244, 23047, 20286, 16604, 16443, 16442, 16442, 16415, 16463, 16877, 16397, 16399, 16401, 16402, 16404, 16402, 16401, 16399, 16397, 18452, 16399, 16399, 16406, 16444, 16395, 16604, 16442, 16415, 16463, 16877, 16397, 16399, 16401, 16402, 16404, 16402, 16401, 16399, 16397, 18452, 16399, 16400, 16400, 16444, 16395, 16604, 16442, 16415, 16463, 16877, 16397, 16399, 16401, 16402, 16404, 16402, 16401, 16399, 16397, 18452, 16399, 16400, 16401, 16444, 16443, 16444, 16397, 16875, 17259, 19147, 16395, 20278, 26311, 16396, 16668, 16699, 19528, 16395, 27100, 22996, 25496, 17889, 31161, 16673, 24910, 37805, 16674, 37885, 17473, 16647, 27100, 16674, 36903, 16671, 20694, 22996, 16674, 51145, 21661, 16604, 16443, 16442, 16442, 16415, 16463, 16877, 16397, 16399, 16401, 16402, 16404, 16402, 16401, 16399, 16397, 18452, 16399, 16399, 16406, 16444, 16443, 16444, 16397, 16582, 16582, 58360, 56294, 27475, 16671, 16647, 42686, 16721, 30332, 17030, 16647, 20293, 16673, 16647, 24910, 20206, 17065, 24777, 25607, 16674, 23653, 16673, 17969, 16604, 16443, 16442, 16442, 16415, 16463, 16877, 16397, 16399, 16401, 16402, 16404, 16402, 16401, 16399, 16397, 18452, 16399, 16400, 16400, 16444, 16443, 16444, 16397, 16999, 16704, 18143, 23541, 16671, 16741, 26097, 19924, 16395, 16693, 16397, 16454, 16397, 16395, 16647, 17969, 16721, 47927, 16641, 20425, 19982, 20610, 16673, 33568, 16395, 17714, 28931, 25607, 21036, 17032, 16792, 18285, 16674, 16695, 17074, 16817, 16604, 16443, 16442, 16442, 16415, 16463, 16877, 16397, 16399, 16401, 16402, 16404, 16402, 16401, 16399, 16397, 18452, 16399, 16400, 16402, 16444, 16443, 16444, 16397, 16875, 18150, 16671, 42878, 16674, 16977, 20293, 26703, 24349, 16395, 16647, 18960, 16673, 19924, 16704, 27158, 19028, 24910, 24319, 16397, 17664, 16769, 22652, 19831, 16721, 23467, 16647, 17717, 16673, 24910, 61681, 21672, 16709, 20293, 56294, 16604, 16443, 16442, 16442, 16415, 16463, 16877, 16397, 16399, 16401, 16402, 16404, 16402, 16401, 16399, 16397, 18452, 16399, 16400, 16403, 16444, 16396, 16396, 16442, 16415, 16463, 16877, 16397, 16399, 16401, 16402, 16404, 16402, 16401, 16399, 16397, 18452, 16399, 16400, 16406, 16444, 16443, 16444, 16397, 18523, 16395, 16986, 16769, 17097, 16641, 17589, 19831, 16721, 16807, 26386, 16647, 28563, 16673, 42878, 19492, 16709, 20293, 56294, 16672, 22729, 16397, 26713, 16395, 16986, 16769, 17097, 16641, 20236, 17679, 16673, 19831, 16672, 22729, 16721, 16807, 29998, 16647, 18774, 17415, 20293, 56294, 16674, 23047, 24892, 16395, 16944, 16395, 16741, 16742, 17031, 18568, 16395, 16843, 16703, 47870, 17181, 17815, 19670, 38225, 22498, 27204, 16397, 16582, 16582, 30746, 38225, 22498, 27204, 19291, 22960, 35531, 34177, 16659, 16397, 21849, 18921, 19670, 38225, 22498, 27204, 16604, 16391, 16452, 16397, 16454, 16397, 17760, 24737, 17136, 16815, 18568, 16785, 18271, 16396, 56140, 16392, 17928, 23047, 24892, 16604, 16443, 16442, 16442, 16415, 16463, 16877, 16397, 16399, 16401, 16402, 16404, 16402, 16401, 16399, 16397, 18452, 16399, 16400, 16407, 16444, 16443, 16444, 16395, 21420, 52757, 17181, 23676, 16674, 27100, 22996, 16767, 17490, 17760, 17743, 16674, 18403, 21703, 17743, 16604, 16443, 16442, 16442, 16415, 16463, 16877, 16397, 16399, 16401, 16402, 16404, 16402, 16401, 16399, 16397, 18452, 16399, 16400, 16408, 16444, 16443, 16444, 16395, 17437, 20209, 20293, 56294, 16604, 16443, 16442, 16442, 16415, 16463, 16877, 16397, 16399, 16401, 16402, 16404, 16402, 16401, 16399, 16397, 18452, 16399, 16401, 16399, 16444, 16443, 16444, 16397, 16772, 19056, 19032, 16673, 16647, 19800, 17969, 16815, 16647, 20293, 19924, 17123, 21420, 19291, 18758, 29719, 16674, 16647, 25610, 16785, 26080, 16673, 16977, 29718, 18373, 16604, 16391, 16452, 16397, 16454, 16397, 16395, 20282, 25627, 16395, 24910, 45604, 18123, 16395, 23070, 16783, 19370, 17923, 16395, 19104, 16397, 16392, 16604, 16443, 16442, 16442, 16415, 16463, 16877, 16397, 16399, 16401, 16402, 16404, 16402, 16401, 16399, 16397, 18452, 16399, 16401, 16400, 16444, 16395, 16604, 16442, 16415, 16463, 16877, 16397, 16399, 16401, 16402, 16404, 16402, 16401, 16399, 16397, 18452, 16399, 16401, 16401, 16444, 16443, 16444, 16397, 16965, 16936, 16661, 19415, 16673, 21703, 24892, 19291, 17969, 23093, 22539, 16604, 16391, 18596, 16697, 60712, 16395, 16971, 16904, 16701, 42603, 50845, 16395, 61681, 16395, 16674, 20293, 56294, 16392, 16395, 24500, 30823, 16672, 17969, 24910, 20664, 16674, 51145, 32681, 16604, 16443, 16442, 16442, 16415, 16463, 16877, 16397, 16399, 16401, 16402, 16404, 16402, 16401, 16399, 16397, 18452, 16399, 16401, 16400, 16444, 16395, 16604, 16442, 16415, 16463, 16877, 16397, 16399, 16401, 16402, 16404, 16402, 16401, 16399, 16397, 18452, 16399, 16401, 16402, 16444, 16443, 16444, 16397, 17544, 18185, 16395, 21377, 42686, 60297, 16395, 18211, 20349, 33701, 42878, 19492, 27204, 16604, 16391, 28124, 16741, 18271, 16396, 47634, 16392, 16395, 17539, 16672, 19800, 20293, 56294, 24500, 24910, 45604, 16395, 35825, 16395, 16674, 17969, 29569, 32508, 16604, 16443, 16442, 16442, 16415, 16463, 16877, 16397, 16399, 16401, 16402, 16404, 16402, 16401, 16399, 16397, 18452, 16399, 16401, 16402, 16444, 16443, 16444, 16397, 17544, 18187, 26251, 16395, 18122, 17969, 16674, 24910, 27112, 16843, 33157, 16647, 18950, 16395, 30421, 16395, 16674, 21559, 16673, 17969, 20078, 16604, 16443, 16442, 16442, 16415, 16463, 16877, 16397, 16399, 16401, 16402, 16404, 16402, 16401, 16399, 16397, 18452, 16399, 16401, 16403, 16444, 16443, 16444, 16397, 16582, 16582, 17635, 18077, 17405, 22960, 35531, 20609, 16671, 30645, 17181, 23676, 16395, 27100, 22996, 16395, 16674, 20293, 56294, 16672, 16641, 21820, 36939, 16396, 16462, 16844, 23047, 16672, 25886, 22729, 16397, 40191, 35531, 20609, 16395, 16944, 28517, 16647, 19924, 16673, 17969, 16671, 16991, 17760, 25625, 16395, 24190, 16667, 25416, 16673, 16647, 19032, 16673, 19029, 16672, 23047, 19492, 16709, 16647, 17969, 20078, 17989, 16641, 54804, 16604, 16443, 16442, 16442, 16415, 16463, 16877, 16397, 16399, 16401, 16402, 16404, 16402, 16401, 16399, 16397, 18452, 16399, 16401, 16404, 16444, 16443, 16444, 16397, 16772, 20609, 16843, 17261, 21349, 16647, 17514, 23047, 19083, 31812, 16672, 20276, 17187, 26080, 18373, 16769, 22722, 16734, 25610, 16661, 29718, 18373, 16397, 16772, 28480, 16673, 16811, 18077, 16958, 16671, 26828, 16647, 19938, 16721, 33756, 16395, 16672, 19246, 16673, 16991, 23047, 21703, 16674, 17760, 25625, 16395, 16807, 16709, 17181, 23676, 16395, 27100, 22996, 16395, 16674, 20293, 56294, 16672, 16641, 20125, 16758, 18124, 16673, 25886, 22729, 16397, 16772, 18055, 55982, 16769, 16721, 17181, 23676, 16674, 27100, 22996, 16769, 17476, 23451, 16709, 21703, 19101, 16674, 39124, 16395, 16674, 16721, 17760, 24892, 28189, 20293, 56294, 16397, 16582, 16582, 65433, 16674, 20625, 16604, 16474, 16386, 19810, 16399, 16399, 16401, 16476, 16582, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16582, 16582, 16853, 18077, 18124, 16704, 20186, 16672, 16647, 24879, 16906, 19599, 16673, 16647, 37210, 21325, 16644, 29603, 49603, 16395, 17989, 16647, 44159, 16673, 28182, 26774, 16395, 16944, 24166, 16672, 16647, 25461, 17015, 16673, 16647, 17731, 16673, 28182, 26774, 16397, 16772, 26182, 18758, 16704, 20186, 16672, 16641, 19454, 19329, 18365, 16741, 36055, 16642, 16747, 16786, 16604, 16391, 16442, 24001, 16604, 16400, 16444, 16391, 16386, 16463, 16877, 16397, 16399, 16401, 16402, 16404, 16402, 16401, 16399, 16397, 16454, 16399, 16399, 16400, 16392, 16474, 18452, 16396, 18926, 16412, 16385, 19327, 16385, 16476, 16392, 16397, 16772, 21192, 16673, 16811, 16604, 16401, 16395, 16407, 16405, 16405, 16396, 16643, 16694, 16953, 19329, 16807, 19277, 16641, 19868, 18814, 16672, 27497, 16641, 21374, 19670, 38225, 22498, 19083, 16395, 47372, 28669, 16395, 16674, 25689, 16701, 16841, 17502, 16672, 16647, 19599, 16604, 16443, 16442, 16442, 16415, 16463, 16877, 16397, 16399, 16401, 16402, 16404, 16402, 16401, 16399, 16397, 18452, 16399, 16401, 16405, 16444, 16443, 16444, 16397, 17513, 20095, 16907, 16671, 19572, 18147, 16674, 18676, 27615, 16709, 16914, 19329, 16397, 16772, 17788, 19083, 17885, 19497, 16647, 19617, 16673, 17975, 16396, 61193, 21703, 47405, 20625, 16604, 16391, 25032, 16802, 50117, 16392, 16741, 17204, 16741 ]
[ 0, 17681, 22082, 50397, 19429, 16604, 16474, 16386, 37256, 16400, 16476, 16582, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16582, 16582, 16853, 19056, 21449, 16673, 16794, 21982, 18037, 16709, 16647, 18980, 16673, 21173, 27835, 46270, 21497, 16704, 16641, 22573, 16673, 17369, 17654, 16672, 19246, 16673, 32259, 30912, 16809, 22933, 16604, 16391, 16432, 16449, 16419, 16392, 16397, 23079, 16671, 16914, 22696, 17231, 16395, 16794, 21982, 18037, 17123, 19291, 16647, 21454, 16674, 18980, 16673, 18551, 46270, 21497, 19868, 16671, 32895, 50325, 21060, 16395, 33759, 25069, 63137, 16674, 25069, 16856, 16784, 18683, 16983, 16673, 19059, 16604, 16391, 16442, 16415, 23965, 16400, 16444, 16396, 16396, 16442, 16415, 23965, 16402, 16444, 16392, 16397, 17812, 21982, 17538, 40848, 16604, 16391, 48550, 16672, 18651, 21454, 16392, 16674, 28593, 16604, 16391, 48550, 16672, 18636, 16392, 34992, 16667, 19642, 42899, 16671, 28456, 24010, 16395, 16741, 19029, 16672, 16794, 21982, 17538, 18651, 21454, 16843, 42836, 16647, 20927, 18950, 29939, 16673, 16647, 18551, 17918, 16604, 16391, 16442, 16415, 23965, 16403, 16444, 16392, 16397, 26367, 16395, 16794, 21982, 17538, 46198, 17552, 16704, 41009, 16741, 16914, 21057, 16843, 21449, 27835, 20632, 35625, 16604, 16391, 16442, 16415, 23965, 16404, 16444, 16395, 16442, 16415, 23965, 16405, 16444, 16392, 16397, 39913, 16647, 18783, 18737, 60729, 23699, 16673, 16794, 21982, 17538, 21057, 16868, 41014, 16647, 17210, 16715, 24010, 19059, 16734, 28456, 17918, 18980, 16397, 16582, 16582, 46322, 16756, 16769, 22484, 17405, 16672, 21173, 46270, 17510, 24010, 16671, 23129, 29258, 27401, 21034, 16673, 30083, 18699, 16785, 34933, 16397, 42171, 16787, 17182, 17040, 16395, 17027, 18047, 22960, 21107, 27819, 18161, 37183, 18933, 16748, 17040, 16604, 16391, 16423, 22931, 16418, 16392, 16395, 16704, 16641, 20932, 17452, 62145, 17405, 16672, 25364, 30083, 18093, 16604, 16391, 16442, 16415, 23965, 16406, 16444, 16392, 16397, 16751, 22931, 16418, 16704, 16641, 17969, 52948, 17975, 16396, 46254, 49291, 16786, 16675, 30641, 44231, 16734, 29754, 32917, 16674, 22960, 21107, 27819, 18161, 19318, 16604, 16391, 24001, 16397, 18331, 16442, 16400, 16444, 16391, 16386, 24001, 16400, 16392, 16474, 18452, 16396, 18926, 16412, 16385, 19327, 16385, 16476, 16392, 16397, 16875, 18150, 16671, 17073, 26570, 21454, 16395, 16751, 22931, 16418, 16704, 37079, 17405, 16741, 16641, 19578, 29737, 16794, 21982, 17538, 16397, 17170, 27083, 30929, 23825, 16709, 16794, 21982, 17538, 17743, 16604, 16391, 16401, 16388, 16604, 16393, 16470, 16393, 16398, 16393, 16470, 16393, 16671, 16604, 16404, 16388, 16604, 16393, 16470, 16393, 16398, 16393, 16470, 16393, 16741, 62145, 16674, 16604, 16400, 16399, 16388, 16604, 16393, 16470, 16393, 16398, 16393, 16470, 16393, 16671, 16604, 16407, 16399, 16388, 16604, 16393, 16470, 16393, 16398, 16393, 16470, 16393, 16741, 19578, 57590, 16392, 16674, 56142, 18383, 16604, 16391, 25538, 56142, 30554, 16769, 22484, 17405, 16671, 18123, 20632, 19578, 16392, 16604, 16391, 16442, 16415, 23965, 16407, 16444, 16392, 16397, 16772, 29151, 16673, 16751, 22931, 16418, 16843, 16703, 28817, 16809, 17073, 43246, 16674, 16695, 26112, 21454, 16944, 16843, 23088, 20632, 53384, 16785, 19578, 16604, 16391, 16442, 16415, 23965, 16408, 16444, 16395, 16442, 16415, 23965, 16400, 16399, 16444, 16392, 16785, 16809, 16647, 21057, 16673, 16977, 16794, 21982, 17538, 20286, 16672, 16641, 40908, 16604, 16391, 16442, 16415, 23965, 16400, 16400, 16444, 16395, 16442, 16415, 23965, 16400, 16401, 16444, 16392, 16397, 24001, 16397, 16604, 16400, 41134, 16956, 20189, 16673, 42171, 16787, 17182, 17040, 16604, 16391, 41134, 30145, 30274, 16604, 16400, 16404, 16397, 16399, 16392, 16582, 16582, 36015, 21454, 16604, 16391, 16460, 29495, 20007, 16395, 20157, 16673, 49113, 16395, 49113, 20610, 16392, 16395, 31239, 21454, 16604, 16391, 61288, 19101, 21559, 16392, 16674, 16794, 21982, 17538, 17743, 16807, 16992, 21766, 16741, 20927, 18651, 29939, 30313, 16794, 21982, 17538, 16674, 17918, 18980, 16604, 16391, 16442, 16415, 23965, 16403, 16444, 16392, 16397, 47094, 20007, 16674, 16794, 21982, 17538, 17743, 20206, 28517, 16671, 16647, 24261, 16673, 16641, 17701, 62328, 16751, 22931, 16418, 28170, 22450, 16397, 16751, 22931, 16418, 25741, 16673, 17362, 27732, 20007, 56586, 23045, 16674, 17510, 16641, 55453, 17701, 62328, 22450, 19739, 16671, 18229, 27732, 20007, 25741, 16604, 16391, 16442, 16415, 23965, 16408, 16444, 16395, 16442, 16415, 23965, 16400, 16402, 16444, 16395, 16442, 16415, 23965, 16400, 16403, 16444, 16392, 16397, 16772, 24261, 16673, 23175, 17701, 62328, 27440, 17014, 20209, 16751, 22931, 16418, 27732, 20007, 16704, 32644, 16671, 16647, 19751, 18960, 16673, 30641, 45604, 16604, 16391, 16442, 16415, 23965, 16408, 16444, 16392, 16397, 23118, 16396, 18489, 20293, 53384, 36499, 28365, 25402, 16647, 19680, 20932, 17452, 19278, 22257, 16809, 17362, 27732, 20007, 16751, 22931, 16418, 25741, 16674, 16647, 51485, 16673, 18229, 27732, 20007, 16751, 22931, 16418, 25741, 16671, 45604, 16604, 16391, 16442, 16415, 23965, 16400, 16404, 16444, 16392, 16397, 30470, 16671, 16647, 41476, 16798, 16673, 16751, 22931, 16418, 27732, 20007, 16674, 56142, 16673, 17073, 47592, 21241, 16395, 17362, 27732, 20007, 16794, 21982, 17538, 25741, 21278, 16671, 17362, 56142, 16751, 22931, 16418, 20286, 16397, 16772, 24261, 16674, 32622, 16673, 16647, 28170, 22450, 21257, 17027, 16709, 16647, 17743, 16673, 16751, 22931, 16418, 16672, 21173, 46270, 21497, 16397, 54837, 16647, 17743, 16673, 16751, 22931, 16418, 18466, 16672, 16641, 35678, 16674, 17701, 62328, 28170, 22450, 18422, 18443, 16671, 19800, 22835, 17279, 16990, 17774, 16604, 16391, 16442, 16415, 23965, 16400, 16405, 16444, 16392, 16785, 19751, 30641, 45604, 18960, 16604, 16391, 16442, 16415, 23965, 16400, 16406, 16444, 16392, 16397, 16711, 22250, 16794, 21982, 17538, 24734, 16604, 16391, 16644, 32890, 16671, 16741, 16794, 21982, 17538, 16972, 18380, 16725, 27421, 16392, 17131, 16944, 16751, 22931, 16418, 19108, 17510, 16667, 20176, 17701, 62328, 22450, 17914, 16671, 18123, 20632, 19578, 16763, 19074, 16604, 16391, 16442, 16415, 23965, 16400, 16407, 16444, 16392, 16397, 16772, 16972, 18380, 16725, 57480, 16673, 17476, 56142, 18383, 16751, 22931, 16418, 25741, 16958, 18655, 16604, 16391, 16401, 16399, 16388, 16604, 16393, 16469, 16393, 16398, 16393, 16469, 16393, 24284, 16671, 16604, 16401, 16399, 16388, 16604, 16393, 16470, 16393, 16398, 16393, 16470, 16393, 16392, 16674, 20332, 23354, 24389, 20632, 19578, 16604, 16391, 16722, 16904, 26486, 16751, 18747, 16395, 18303, 18644, 52007, 17636, 16915, 16604, 16391, 18763, 16431, 16604, 16401, 16392, 27239, 16395, 16604, 16404, 16399, 18331, 16465, 19673, 16395, 16604, 16408, 16399, 16399, 18331, 38632, 16395, 48649, 27671, 33208, 18331, 16406, 16397, 16404, 16392, 16815, 23447, 19578, 34933, 23858, 16751, 22931, 16418, 16604, 16391, 16442, 16415, 23965, 16400, 16407, 16444, 16392, 16397, 23890, 16673, 17588, 20604, 27621, 35771, 45266, 22130, 16721, 16647, 18334, 28170, 22450, 24261, 23825, 16709, 16647, 17743, 16673, 16751, 22931, 16418, 16397, 40191, 39663, 16675, 45529, 23858, 16604, 16404, 16388, 16604, 16393, 16470, 16393, 16398, 16393, 16470, 16393, 16674, 16604, 16400, 16399, 16388, 16604, 16393, 16470, 16393, 16398, 16393, 16470, 16393, 16673, 16751, 22931, 16418, 22257, 16641, 24737, 16674, 56484, 28170, 22450, 25241, 16604, 16391, 16404, 16396, 16396, 16400, 16404, 18331, 17784, 16392, 16395, 16944, 17120, 16804, 16703, 26447, 18443, 16671, 16647, 19800, 17969, 43956, 51420, 30641, 45604, 16604, 16391, 16442, 16415, 23965, 16400, 16408, 16444, 16392, 16397, 16582, 16582, 32523, 18783, 18737, 60729, 20671, 30313, 16647, 19032, 16673, 16751, 22931, 16418, 16709, 17918, 18980, 16807, 16992, 21766, 16397, 16772, 18980, 16673, 16751, 22931, 16418, 23825, 16709, 16647, 25989, 16674, 21454, 16673, 16647, 53384, 22767, 16397, 21206, 17311, 16604, 16391, 16442, 16415, 23965, 16401, 16399, 16444, 16392, 16395, 57440, 16604, 16391, 16442, 16415, 23965, 16401, 16400, 16444, 16392, 16674, 18308, 22539, 16604, 16391, 16442, 16415, 23965, 16401, 16401, 16444, 16392, 25566, 16734, 16647, 20932, 17452, 31446, 16673, 16751, 22931, 16418, 16674, 19291, 16647, 24261, 16673, 16647, 28170, 22450, 16397, 26367, 16395, 58254, 55221, 16958, 17494, 16671, 19291, 16647, 29038, 23052, 16604, 16391, 27138, 24261, 16392, 16673, 49291, 16786, 16675, 49798, 16397, 16772, 22960, 57106, 20049, 16673, 58254, 55221, 46317, 16449, 21396, 16647, 22960, 57106, 23349, 16673, 49798, 16674, 19031, 16647, 16794, 21982, 17538, 23052, 21452, 19028, 30259, 16604, 16391, 16442, 16415, 23965, 16401, 16402, 16444, 16395, 16442, 16415, 23965, 16401, 16403, 16444, 16392, 16397, 16772, 33208, 16673, 16647, 53384, 22767, 16843, 17027, 19291, 16647, 43246, 16398, 16840, 18714, 21454, 16673, 16751, 22931, 16418, 18443, 16671, 19029, 16672, 16647, 20734, 25604, 16673, 17969, 17065, 16647, 30641, 16395, 21051, 16647, 17975, 16396, 46254, 19927, 16673, 16751, 22931, 16418, 16397, 48487, 30641, 30131, 17923, 16674, 21036, 16794, 21982, 17538, 43246, 16958, 21852, 16672, 18691, 16673, 20873, 16604, 16391, 16401, 16403, 16388, 19031, 16672, 30641, 31351, 17135, 16604, 16401, 16399, 16399, 18331, 17784, 16767, 33208, 20464, 16412, 20464, 16405, 16392, 19739, 16671, 56860, 33208, 16604, 16391, 16400, 16404, 16388, 19031, 16672, 30641, 31351, 17135, 16604, 16401, 16399, 16399, 18331, 17784, 16767, 33208, 20464, 16412, 20464, 16401, 16392, 16604, 16443, 16442, 16463, 16423, 21365, 16741, 20873, 16674, 56860, 18745, 16671, 16647, 40632, 33208, 18898, 16443, 16444, 16397, 16772, 22900, 31412, 16647, 18783, 18737, 60729, 30908, 16673, 16811, 20932, 17452, 19208, 16741, 23045, 20632, 19578, 17208, 16703, 19272, 16672, 16647, 56860, 51775, 19739, 16671, 16647, 20873, 47099, 45653, 16604, 16391, 16442, 16415, 23965, 16401, 16404, 16444, 16392, 16397, 16582, 16582, 16853, 20199, 16673, 16811, 18077, 16763, 16671, 20114, 16647, 18783, 18737, 60729, 19032, 16674, 20927, 16798, 16673, 16751, 22931, 16418, 40848, 16674, 28593, 16604, 16391, 26760, 17405, 16741, 16641, 62145, 16672, 24528, 19578, 59462, 16392, 16709, 20632, 21595, 17638, 16910, 17269, 16397, 16751, 22931, 16418, 40848, 16674, 28593, 16958, 26386, 16809, 35118, 17567, 16751, 22931, 16418, 25741, 16673, 17476, 56142, 18383, 17655, 17142, 17476, 16794, 21982, 17538, 19415, 16604, 16391, 25293, 16409, 16604, 16401, 16388, 16604, 16393, 16470, 16393, 16398, 16393, 16470, 16393, 16395, 17362, 16409, 16604, 16404, 16388, 16604, 16393, 16470, 16393, 16398, 16393, 16470, 16393, 16392, 16397, 16772, 18783, 18737, 60729, 28771, 16673, 16751, 22931, 16418, 40848, 16709, 20632, 21595, 17638, 16910, 17269, 16958, 28152, 16809, 27843, 28937, 16673, 16641, 19609, 18898, 16673, 18567, 19689, 30448, 21454, 16604, 16391, 56304, 29843, 17873, 16395, 20632, 29981, 46883, 28301, 16395, 20632, 47592, 17638, 16910, 17269, 16392, 16674, 18691, 16604, 16391, 20036, 16806, 17002, 16674, 18783, 16779, 16677, 19959, 16392, 17432, 24329, 16647, 53253, 19527, 16397, 25260, 47037, 17586, 19335, 16604, 16391, 25000, 17965, 43817, 16604, 16391, 23004, 16434, 16392, 16392, 16674, 19159, 45801, 16958, 17405, 16671, 21986, 16647, 20927, 18814, 16673, 18244, 25625, 16604, 16391, 56304, 21454, 16395, 16794, 21982, 17538, 21057, 16395, 22767, 24319, 16392, 16709, 16647, 19032, 16673, 16751, 22931, 16418, 16709, 20632, 21595, 17638, 16910, 17269, 16397, 16582, 16582, 16428, 44709, 30196, 16434, 21828, 58780, 16434, 16604, 16474, 16386, 37256, 16401, 16476, 16582, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16582, 16582, 65433, 16604, 16474, 16386, 37256, 16402, 16476, 16582, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16582, 16582, 18987, 19068, 16409, 34730, 16707, 17078, 18289, 53247, 16604, 16391, 28082, 16439, 16392, 16674, 17707, 37282, 16707, 16723, 16604, 16391, 20714, 16418, 16392, 16958, 21715, 16815, 32506, 35299, 16604, 16391, 28850, 16392, 16397, 16773, 17787, 24650, 16870, 16604, 16391, 16421, 23610, 16392, 16395, 16728, 16735, 16979, 53247, 16604, 16391, 18317, 16441, 16392, 16674, 23217, 20593, 16699, 16707, 17877, 16604, 16391, 16419, 23004, 16392, 16958, 21715, 16815, 16965, 32483, 16604, 16391, 28850, 16392, 16397, 52275, 16825, 16689, 30919, 16604, 16391, 24676, 16436, 16392, 16395, 42106, 16707, 17317, 16934, 16856, 16604, 16391, 37046, 16441, 16392, 16674, 17820, 17024, 16642, 16604, 16391, 24701, 16421, 16392, 16958, 21715, 16815, 16773, 16750, 17751, 16604, 16391, 28850, 16392, 16397, 17812, 21982, 18037, 16409, 16751, 22931, 16418, 16396, 33680, 16763, 21715, 16815, 48856, 33381, 22837, 16604, 16391, 28850, 16392, 16397, 29309, 28657, 16649, 16604, 16405, 16399, 16405, 16674, 29309, 28657, 16649, 16604, 16405, 16400, 16404, 16958, 21715, 16815, 39846, 17499, 16468, 16604, 16391, 35025, 16392, 16397, 35522, 16466, 16409, 17263, 19923, 22363, 16604, 16391, 16443, 16413, 20464, 16408, 16408, 16397, 16406, 16388, 16392, 16395, 22960, 41434, 16675, 22363, 16604, 16402, 16405, 16397, 16404, 16396, 16396, 16402, 16407, 16388, 16395, 17362, 16396, 40861, 23764, 58270, 16604, 16391, 26689, 21078, 16392, 23724, 63718, 16395, 29850, 21078, 23724, 17263, 34340, 16654, 55873, 16395, 42530, 20602, 16680, 17078, 17716, 16395, 16664, 22294, 16642, 16604, 16391, 20563, 21358, 61087, 16392, 16958, 21715, 16815, 48856, 16396, 54676, 22837, 16604, 16391, 28850, 16392, 16397, 39936, 16675, 22363, 16395, 35981, 49960, 16395, 35981, 52933, 16870, 16395, 48020, 48649, 17334, 17080, 16676, 16675, 16395, 35981, 17682, 61194, 30491, 18737, 24594, 16758, 17682, 29485, 23178, 16395, 16952, 53742, 31055, 30491, 18737, 24594, 16758, 17682, 29485, 23178, 16395, 48020, 17682, 61194, 30491, 18737, 24594, 16758, 16395, 16667, 29485, 32309, 35981, 62086, 16395, 29850, 21078, 23724, 57417, 18350, 28875, 16861, 19923, 22363, 16958, 21715, 16815, 32506, 35299, 16604, 16391, 28850, 16392, 16397, 16702, 53742, 21447, 17787, 16717, 25200, 16604, 16391, 18023, 16451, 42854, 16997, 16706, 25255, 17385, 18769, 17318, 16702, 16397, 16431, 16397, 16416, 16397, 16395, 23948, 16392, 16395, 23572, 16827, 16450, 16731, 16642, 16396 ]
[ 0, 22664, 48580, 16582, 16582, 16736, 16732, 16958, 16672, 16667, 17361, 48580, 18774, 16395, 17072, 16961, 16732, 22201, 16912, 17968, 16414, 16582, 16582, 16457, 16391, 18307, 16392, 16674, 17226, 16807, 18666, 16721, 18283, 18295, 18032, 16741, 16742, 16743, 16690, 22849, 17016, 16647, 18368, 17123, 18262, 16715, 16907, 16397, 16674, 16728, 16868, 19072, 16671, 16703, 16641, 22573, 16673, 22094, 16395, 17226, 16743, 16460, 17811, 16397, 17226, 16807, 16395, 16815, 17238, 18334, 16672, 17038, 18774, 16395, 18711, 16647, 33893, 16721, 16395, 16980, 16742, 16958, 16671, 29410, 16674, 16807, 17968, 16395, 17038, 16604, 16391, 47872, 16701, 44181, 16392, 17968, 17208, 16703, 23116, 16647, 26915, 16674, 18496, 16673, 17490, 16673, 17038, 20745, 30828, 16410, 16721, 16873, 17208, 21108, 17490, 16951, 19703, 16674, 16669, 16926, 16645, 24154, 24468, 16604, 16391, 18060, 17490, 17155, 19986, 16395, 16850, 16709, 16991, 17936, 16673, 24105, 23068, 16392, 16410, 16721, 16873, 17208, 16807, 17490, 16951, 19703, 16674, 16669, 16926, 16645, 21289, 16410, 16674, 16721, 24037, 16873, 17208, 22064, 16715, 19172, 16604, 16391, 26760, 16873, 16743, 16644, 20985, 17032, 20545, 16392, 16944, 23291, 18786, 16715, 17007, 17205, 16658, 16721, 23827, 18786, 16715, 17007, 16397, 16582, 16582, 16457, 16391, 18307, 16392, 24711, 16647, 21775, 16674, 43014, 16672, 17274, 16641, 30118, 16395, 16850, 16733, 17363, 16872, 42110, 16931, 26142, 16888, 17968, 16734, 16998, 23659, 16671, 16669, 16926, 16645, 17502, 16397, 24203, 17172, 16733, 29678, 16647, 19223, 16672, 16944, 16669, 16926, 16645, 17502, 17120, 19225, 17007, 18389, 17205, 17347, 18389, 16674, 24951, 16733, 16743, 16466, 18215, 16848, 18019, 17172, 16673, 16647, 20330, 16743, 16466, 37445, 16931, 23324, 16674, 22081, 16410, 16647, 18389, 18102, 16674, 18130, 18399, 16671, 16907, 16807, 19273, 16741, 16873, 16743, 16690, 27482, 16671, 20134, 19172, 17065, 16647, 32100, 16647, 20330, 17290, 18778, 16659, 16410, 16647, 18389, 16991, 16673, 17038, 18659, 19273, 16741, 16873, 17939, 16647, 16669, 16926, 16645, 18205, 16397, 16733, 17930, 16743, 16467, 17137, 16671, 36715, 16888, 17968, 16671, 16641, 25030, 17434, 16721, 16843, 24339, 17274, 19431, 28339, 16674, 23569, 22479, 16397, 16674, 17226, 16829, 16804, 25533, 17107, 16397, 16672, 17551, 17226, 19884, 16734, 17107, 16397, 17226, 17121, 16743, 16467, 17137, 16887, 17968, 24810, 16671, 17274, 18389, 18422, 16397, 16582, 16582, 20703, 16742, 20204, 16743, 16467, 30432, 16811, 18343, 18234, 16395, 16742, 17490, 17238, 17240, 18360, 16986, 16704, 16641, 20231, 19453, 17205, 16448, 17210, 16671, 22572, 17038, 16604, 16391, 47872, 16701, 44181, 16392, 17968, 16931, 17490, 16673, 17038, 20745, 30828, 17437, 18045, 17038, 17514, 16671, 18123, 16715, 37445, 16742, 18360, 16769, 33038, 16397, 16721, 20231, 19453, 16704, 18230, 17172, 16824, 16391, 18307, 16392, 16674, 17226, 18634, 25525, 58367, 19795, 16674, 16742, 41538, 19006, 17310, 19795, 16672, 18655, 19223, 16397, 16672, 16977, 18878, 16395, 17437, 17038, 24518, 20745, 30828, 16769, 17476, 16395, 17038, 26915, 16769, 17238, 18655, 16397, 16582, 16582, 16676, 16742, 16743, 16690, 22849, 16811, 18283, 16395, 16824, 16391, 18307, 16392, 16872, 18666, 16848, 18515, 17226, 17039, 18777, 16929, 16872, 21056, 16914, 19347, 16647, 17210, 17226, 16743, 16460, 27742, 16742, 17208, 22201, 17038, 16604, 16391, 47872, 16701, 44181, 16392, 17968, 17205, 32258, 16672, 16647, 16669, 16926, 16645, 20330, 16395, 18519, 16672, 17653, 20330, 16397, 16674, 17226, 16743, 16690, 16955, 16671, 17335, 16721, 16395, 17028, 17205, 16456, 17121, 16743, 16467, 16397, 16859, 17226, 18167, 26839, 16647, 41162, 16461, 24326, 16715, 16977, 17047, 16743, 16466, 21675, 16395, 49331, 17226, 16961, 17393, 21221, 17624, 16397, 17226, 16763, 18661, 22924, 16767, 17016, 17226, 17132, 17393, 16397, 16582, 16582, 19840, 17226, 17027, 17494, 20385, 16721, 17238, 17240, 44912, 16848, 16397, 17348, 16743, 16466, 16641, 17589, 16395, 16672, 21695, 16409, 16582, 16582, 21484, 16641, 19099, 16868, 16703, 16604, 17705, 34469, 16743, 16671, 16703, 35354, 16671, 16641, 16947, 16672, 16647, 17718, 17417, 16395, 24704, 16673, 18515, 17049, 31641, 18494, 16785, 18050, 18012, 16641, 17975, 16396, 16460, 16926, 16645, 16397, 16647, 49621, 17255, 16721, 16958, 17274, 16641, 19099, 16671, 29410, 16641, 17975, 16396, 16460, 16926, 16645, 16395, 17049, 16961, 16804, 16703, 35354, 16671, 16968, 17975, 16396, 16460, 16926, 16645, 33170, 16397, 16582, 16582, 21484, 22081, 16671, 16641, 17975, 16396, 16460, 16926, 16645, 17036, 16396, 25567, 21243, 16641, 16604, 17705, 20901, 45974, 16396, 48704, 16396, 41217, 16397, 16743, 17244, 49313, 16721, 16728, 16743, 16466, 22916, 16715, 16667, 17361, 48580, 22081, 16671, 16703, 58048, 16672, 16647, 17718, 17417, 16397, 16582, 16582, 21484, 16986, 17208, 16703, 16641, 17036, 16396, 16461, 16825, 20287, 16721, 16647, 17975, 16396, 16460, 16926, 16645, 33170, 16743, 16466, 22155, 16671, 27227, 17564, 16647, 16790, 22569, 26555, 16961, 34992, 23454, 27262, 16715, 28828, 16397, 16582, 16582, 21484, 16641, 16669, 16926, 16645, 18050, 18012, 16641, 17975, 16396, 16460, 16926, 16645, 16891, 16673, 53960, 16715, 18706, 16674, 40193, 17461, 16397, 16582, 16582, 21484, 17014, 16641, 16669, 16926, 16645, 18050, 18012, 16641, 17975, 16396, 16460, 16926, 16645, 16395, 16647, 16669, 16926, 16645, 16872, 27234, 16715, 53597, 18148, 16929, 17257, 16804, 60872, 16647, 17396, 19795, 16397, 16582, 16582, 21484, 22081, 16704, 16931, 18065, 28534, 16395, 16804, 16931, 16647, 49411, 16397, 16721, 20821, 16395, 17172, 53597, 16641, 17975, 16396, 16460, 16926, 16645, 16868, 46115, 17356, 18368, 17968, 16743, 16466, 24800, 18446, 16395, 17361, 48580, 22081, 17208, 16703, 32952, 16767, 16858, 20079, 17205, 28018, 16647, 17985, 16673, 63430, 24951, 16674, 50075, 16397, 16582, 16582, 21484, 17361, 48580, 19326, 23902, 26749, 16715, 18123, 16673, 16914, 17968, 16743, 16466, 24800, 19115, 17205, 30992, 20869, 16873, 19816, 16743, 16467, 16807, 24800, 19795, 16672, 18545, 16397, 16582, 16582, 21484, 16647, 17968, 16673, 17361, 48580, 43000, 17208, 16395, 22842, 16395, 16703, 21056, 29890, 16669, 16926, 16645, 16397, 16582, 16582, 21484, 22081, 16704, 19768, 18918, 17205, 27612, 16647, 22866, 24086, 16395, 18661, 17032, 16931, 16647, 17210, 17417, 16704, 21611, 17178, 16397, 16582, 16582, 21484, 16669, 16926, 17112, 16672, 17361, 48580, 43000, 17208, 16703, 23356, 17245, 16395, 16741, 16980, 16914, 43000, 17724, 16703, 16641, 20217, 27422, 19095, 16673, 16641, 19419, 16673, 24017, 16674, 27799, 16397, 16582, 16582, 21484, 17097, 16669, 16926, 17112, 16734, 19348, 30013, 18707, 16785, 36647, 17531, 16686, 22280, 29410, 19067, 16647, 20330, 16397, 16582, 16582, 21484, 53597, 16641, 17975, 16396, 16460, 16926, 16645, 39510, 16641, 41211, 16674, 20432, 22396, 16397, 16582, 16582, 16676, 17226, 17337, 17213, 19001, 22408, 16674, 20386, 17205, 61090, 23084, 16673, 20386, 17205, 16456, 16763, 45030, 16397, 16674, 46532, 16397, 16674, 21368, 16397, 16582, 16582, 56011, 17172, 25167, 17016, 17226, 19241, 17030, 16674, 17030, 16763, 16721, 17361, 48580, 22081, 16704, 41793, 32455, 16410, 16721, 16728, 47502, 22396, 16410, 16721, 16728, 16763, 46666, 16715, 22736, 16397, 21368, 17172, 16673, 16647, 19744, 16673, 20745, 17205, 48580, 16721, 21275, 16868, 42263, 16998, 22081, 19789, 16709, 17652, 16674, 29968, 16674, 19051, 37294, 16395, 18661, 17032, 16994, 17310, 28027, 16734, 16647, 18027, 30934, 16674, 17510, 16397, 17226, 19108, 17967, 16647, 26035, 18841, 16673, 17510, 16604, 16391, 61131, 16641, 22081, 16734, 16641, 29153, 52119, 16392, 17030, 25879, 16604, 16391, 32722, 16641, 18354, 16395, 26434, 16395, 32751, 22081, 17205, 16448, 16604, 17705, 21151, 50748, 16743, 22081, 16395, 16980, 16732, 16868, 16392, 16397, 17226, 19108, 17967, 16728, 16672, 32478, 16673, 16887, 29963, 16673, 16647, 22228, 16673, 26070, 59353, 18213, 16397, 16582, 16582, 18103, 19514, 16715, 20385, 16931, 17072, 16671, 17799, 17361, 48580, 43000, 16674, 20422, 17027, 18200, 16848, 16671, 16641, 19201, 16673, 22724, 16672, 27241, 16397, 16674, 16728, 16763, 16986, 17226, 17494, 17016, 19273, 17262, 16671, 16848, 16397, 16672, 16888, 18187, 19090, 16604, 16894, 16688, 17458, 16798, 16734, 16641, 22269, 16396, 17373, 16669, 16926, 16645, 16395, 16900, 16393, 65232, 20850, 17251, 24631, 16647, 16792, 19127, 16673, 16604, 16894, 16449, 18829, 17502, 16395, 32922, 16395, 26891, 16395, 16674, 24498, 16900, 16741, 55702, 16809, 21275, 16604, 16894, 17756, 16647, 20550, 16395, 16804, 16647, 57069, 16395, 16673, 18206, 28591, 16397, 16641, 30934, 16704, 16804, 16641, 25124, 22764, 16917, 16671, 20502, 16641, 18244, 19783, 16785, 25061, 16397, 16728, 16704, 16641, 32033, 16674, 16641, 22495, 16410, 16728, 24827, 17099, 20285, 16674, 16792, 28137, 26056, 16900, 16604, 16391, 16400, 16400, 16402, 16396, 16403, 16392, 16397, 16811, 20287, 16673, 59353, 18213, 28318, 17099, 16734, 16848, 16397, 16728, 18199, 18870, 16671, 17133, 16673, 16792, 19127, 16741, 26305, 19761, 16709, 19006, 19963, 24897, 16395, 28152, 19261, 17437, 39793, 16721, 16873, 16769, 16804, 16647, 17097, 18238, 16673, 18045, 16859, 16397, 16582, 16582, 23265, 17251, 18242, 39718, 16409, 16604, 16894, 16448, 24498, 37568, 16641, 22081, 16395, 37340, 16728, 16395, 48007, 17073, 18453, 16674, 23353, 16395, 16850, 17930, 16743, 16467, 18725, 16728, 16397, 16647, 24017, 16641, 19201, 16872, 16672, 16917, 17653, 16743, 16466, 21057, 25496, 16914, 22081, 16397, 17226, 20821, 18360, 16721, 16395, 16980, 21275, 29029, 16813, 17347, 16448, 16674, 16848, 16671, 23765, 16672, 16647, 37852, 16673, 16647, 44324, 16395, 16733, 16868, 17027, 21172, 16907, 16647, 31344, 16673, 24959, 17038, 22081, 16397, 16986, 16868, 17109, 16703, 17028, 16977, 18188, 17032, 16721, 16742, 16807, 20730, 17492, 16977, 17301, 16674, 61431, 16900, 16604, 16391, 16400, 16400, 16404, 16392, 16397, 17226, 17120, 16804, 19884, 16922, 20519, 16397, 16715, 16848, 16395, 17652, 16704, 16647, 17204, 16396, 29947, 16673, 16647, 33936, 16397, 16728, 16704, 16647, 17803, 16721, 17208, 17815, 17038, 20217, 19261, 16397, 16728, 16704, 16647, 18453, 17226, 17477, 16715, 19110, 16674, 16887, 17394, 16397, 17652, 17205, 18060, 17510, 17205, 25967, 17474, 16671, 16794, 18772, 16725, 16397, 17510, 16395, 30934, 16395, 59353, 18213, 16843, 17097, 17261, 17280, 24267, 16673, 17652, 16395, 18314, 19761, 16709, 17652, 16410, 16873, 19108, 17391, 17652, 16743, 16466, 17617, 16397, 16582, 16582, 30992, 16887, 17304, 17361, 48580, 18774, 16704, 16734, 16641, 16951, 19703, 16395, 17226, 17337, 16733, 24871, 59840, 16743, 16466, 19090, 16604, 16894, 20995, 38846, 16409, 16641, 16951, 19703, 16396, 16460, 16926, 16645, 22081, 16900, 16393, 16393, 16734, 17369, 17654, 16397, 17226, 27694, 16968, 17971, 16673, 54118, 21961, 16661, 17915, 16815, 16669, 16926, 16645, 17502, 17065, 16951, 19703, 17502, 16410, 16673, 16968, 16674, 16968, 20717, 16743, 16466, 20849, 16671, 16804, 17097, 30245, 16914, 22081, 16395, 16850, 16671, 17231, 16914, 31739, 24592, 23569, 29604, 16741, 16667, 19560, 16671, 28036, 16914, 22081, 16397, 17049, 27378, 16673, 16641, 26926, 17054, 23207, 17971, 16672, 16944, 16604, 16894, 36505, 16743, 16466, 19505, 23818, 16704, 47333, 17065, 22364, 16767, 16647, 20227, 16673, 16647, 17394, 16397, 16604, 16397, 16604, 16397, 16604, 16397, 16721, 17038, 17980, 16741, 18206, 28591, 16704, 16671, 23187, 16647, 22364, 16673, 35641, 35987, 16858, 17473, 16907, 16395, 16900, 24704, 16673, 17187, 16873, 20362, 16604, 16391, 16400, 16403, 16401, 16392, 16397, 17226, 17967, 16811, 21936, 17172, 17226, 17134, 35641, 24943, 16672, 16887, 17394, 16397, 17226, 16807, 17028, 17654, 16672, 18065, 16858, 16673, 16721, 35641, 16669, 16926, 16645, 16395, 16672, 16691, 18280, 17806, 16728, 16859, 16728, 28789, 53358, 23261, 16672, 16647, 16669, 16926, 16645, 42630, 17595, 16397, 17226, 17045, 20309, 16672, 28495, 16647, 35641, 17187, 16728, 48119, 16395, 16672, 18767, 16671, 17967, 17072, 16647, 35641, 16672, 16669, 16926, 16645, 17502, 16674, 16647, 35641, 19067, 16669, 16926, 16645, 17502, 16985, 18226, 16671, 17190, 16641, 20104, 17394, 16397, 16582, 16582, 16654, 16704, 16721, 23155, 16395, 16741, 17240, 16741, 16998, 18870, 16673, 43014, 16395, 16721, 49386, 16887, 23155, 16671, 22201, 16604, 16391, 47872, 16701, 44181, 16392, 17968, 16734, 16824, 16391, 18307, 16392, 16741, 21114, 17361, 48580, 16397, 17226, 17039, 16728, 16743, 16466, 16667, 26701, 23155, 16715, 16641, 16669, 16926, 16645, 16397, 17226, 17039, 16728, 16868, 16703, 16641, 18067, 16734, 21532, 16397, 16850, 17226, 18360, 16728, 16843, 16703, 18090, 16397, 17172, 17226, 18360, 16721, 16604, 16894, 16654, 16743, 16466, 16804, 17038, 22383, 16721, 32057, 16907, 16397, 16728, 16743, 16466, 17038, 47938, 16931, 17492, 16977, 16721, 16829, 16900, 16604, 16391, 16400, 16404, 16399, 16392, 16393, 16393, 16397, 16582, 16582, 16909, 17818, 17045, 17226, 19184, 16811, 17498, 16414, 17226, 26071, 17226, 16743, 16460, 19184, 16728, 16672, 24785, 16721, 17226, 16743, 16683, 17393, 16991, 16669, 16926, 17112, 16929, 17121, 16743, 16467, 19884, 16734, 16647, 22706, 45960, 17226, 31867, 16672, 16647, 41162, 16461, 24326, 16397, 16922, 28609, 17226, 16743, 16460, 19184, 16728, 23301, 16715, 21444, 16931, 17072, 16671, 16854, 16931, 26142, 21114, 17361, 48580, 17968, 16397, 17226, 17121, 16743, 16467, 20278, 17137, 16671, 26903, 16647, 21408, 17301, 16395, 21408, 22479, 17282, 18041, 16721, 19668, 16767, 18032, 16604, 16389, 25279, 16641, 17589, 17202, 18469, 16410, 16944, 18238, 16721, 17226, 16743, 16460, 16804, 20278, 20309, 16672, 19699, 16931, 18515, 16641, 16669, 16926, 16645, 17208, 29410, 16641, 17975, 16396, 16460, 16926, 16645, 16672, 16647, 17092, 17617, 16397, 16647, 20835, 16704, 16721, 16728, 20778, 16397, 19095, 16395, 17226, 16743, 16460, 20309, 16672, 20385, 16931, 17072, 16671, 16854, 16931, 18843, 16641, 18354, 16395, 17361, 48580, 17797, 16604, 16391, 18060, 16994, 16641, 16669, 16926, 16645, 16785, 16641, 16951, 19703, 17797, 16734, 16917, 18521, 16929, 23987, 27577, 16392, 16397, 16582, 16582, 34525, 16811, 16409, 16582, 16582, 31763, 16582, 16582, 21517, 37731, 16872, 19193, 51113, 16671, 34348, 22118, 18660, 16715, 16968, 17009, 17980, 22502, 20047 ]
[ 0, 36300, 16604, 16474, 16386, 37256, 16400, 16476, 16582, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16582, 16582, 16853, 18356, 16673, 23759, 16671, 59555, 43542, 23969, 23294, 16641, 18166, 19039, 16672, 20053, 39031, 16397, 37688, 16396, 56304, 23759, 16604, 16391, 16428, 24087, 16392, 16704, 19970, 16734, 17030, 16396, 42279, 16673, 17333, 24510, 51158, 29921, 34756, 50742, 16604, 16391, 16431, 16396, 42842, 16392, 16944, 22072, 16741, 16641, 20632, 17325, 39194, 24889, 16395, 25428, 16647, 51705, 19415, 16673, 59555, 43542, 22163, 16604, 16391, 16425, 16713, 29920, 17605, 16813, 16397, 16604, 16442, 16415, 23965, 16401, 16408, 16444, 16392, 16397, 16739, 16396, 42842, 31728, 16671, 16647, 42560, 16396, 36209, 57708, 16604, 16391, 43134, 16392, 20734, 26513, 16395, 16944, 17027, 18379, 16647, 22399, 16396, 56304, 23759, 19970, 22036, 16604, 16400, 16604, 16391, 26533, 16431, 16400, 16392, 16604, 16391, 16434, 17175, 17605, 16813, 16397, 16604, 16442, 16415, 23965, 16405, 16402, 16444, 16410, 16738, 17245, 17976, 16674, 17778, 17594, 17976, 16604, 16442, 16415, 23965, 16403, 16444, 16410, 44188, 16646, 16757, 17605, 16813, 16397, 16604, 16442, 16415, 23965, 16400, 16404, 16444, 16392, 16395, 16785, 16647, 23665, 20053, 23759, 22036, 16604, 16391, 19634, 38580, 16398, 43134, 16422, 16401, 16392, 16604, 16391, 16434, 17175, 17605, 16813, 16397, 16604, 16442, 16415, 23965, 16405, 16402, 16444, 16392, 16397, 16772, 56213, 30165, 29086, 57493, 19134, 21348, 32174, 16604, 16391, 24902, 24829, 16392, 16604, 16391, 16417, 17245, 17976, 16674, 17778, 17594, 17976, 16604, 16442, 16415, 23965, 16403, 16444, 16410, 44188, 16646, 16757, 17605, 16813, 16397, 16604, 16442, 16415, 23965, 16400, 16404, 16444, 16395, 16604, 16442, 16415, 23965, 16400, 16405, 16444, 16392, 16674, 16647, 16774, 17901, 16942, 16785, 16672, 53726, 16673, 27242, 38875, 16658, 23273, 16664, 16404, 16402, 16604, 16391, 16744, 16396, 19577, 62774, 16604, 16442, 16415, 23965, 16400, 16406, 16444, 16392, 16807, 17027, 16992, 19423, 16672, 16727, 24087, 25013, 16673, 20053, 19487, 16397, 20956, 20656, 16811, 23759, 21384, 16641, 24942, 19514, 16673, 17009, 18241, 16856, 59498, 23969, 16397, 16875, 16647, 18074, 16395, 19588, 19059, 16815, 20282, 29326, 16807, 22130, 16641, 17362, 19056, 16741, 59555, 43542, 20632, 37781, 16604, 16391, 16426, 16468, 21478, 16674, 44188, 16646, 16757, 16604, 16442, 16415, 23965, 16402, 16402, 16444, 16392, 16397, 21937, 16671, 16647, 18671, 19218, 29317, 16395, 16931, 16604, 16407, 16399, 18331, 16388, 16673, 16647, 19971, 16673, 21625, 19328, 36845, 16709, 20839, 37192, 16395, 21187, 20282, 22163, 16395, 16715, 16914, 20618, 17730, 17534, 18467, 16604, 16391, 22260, 16430, 16604, 16442, 16415, 23965, 16401, 16399, 16444, 16392, 16397, 16999, 16872, 17027, 16992, 19074, 16721, 20010, 32344, 16754, 19171, 16915, 17363, 21005, 16767, 17965, 16604, 16401, 16404, 18331, 16388, 22163, 26552, 16815, 22372, 16674, 17259, 18208, 16944, 16769, 35223, 31327, 17296, 16604, 16391, 22260, 16430, 16604, 16442, 16415, 23965, 16401, 16399, 16444, 16392, 16397, 23466, 16395, 22428, 38030, 16734, 30098, 16657, 40278, 23294, 16641, 17238, 29334, 21963, 16395, 18839, 21370, 16647, 25627, 16673, 20282, 16390, 16466, 24745, 58928, 16397, 21793, 56023, 16872, 21216, 16992, 17494, 16671, 16703, 17238, 58865, 16672, 16647, 19514, 16673, 60876, 17741, 22629, 17225, 31184, 16397, 21414, 28937, 17789, 18509, 25463, 18339, 16409, 16604, 16407, 16396, 54774, 16450, 16823, 51348, 25463, 16877, 16796, 16395, 18486, 16730, 16960, 16642, 16687, 16395, 16655, 16823, 51348, 25463, 16877, 16687, 16604, 16391, 16426, 16468, 21478, 17605, 16813, 16397, 16604, 16442, 16415, 23965, 16402, 16407, 16444, 16392, 16395, 16674, 18509, 25463, 16877, 16965, 16400, 16604, 16391, 16426, 16468, 21478, 17605, 16813, 16397, 16604, 16442, 16415, 23965, 16402, 16404, 16444, 16392, 16395, 57401, 16754, 17175, 18339, 16409, 26896, 16467, 22629, 16877, 16799, 16674, 16704, 16905, 25113, 16642, 16723, 16604, 16391, 16426, 16468, 21478, 17605, 16813, 16397, 16604, 16442, 16415, 23965, 16402, 16408, 16444, 16392, 16395, 16951, 16642, 16877, 16409, 16604, 16401, 16396, 16861, 51542, 16453, 17787, 16396, 16400, 16395, 16403, 16396, 16461, 23875, 16757, 16462, 35318, 16877, 16604, 16391, 16426, 16468, 21478, 17605, 16813, 16397, 16604, 16442, 16415, 23965, 16402, 16404, 16444, 16392, 16395, 28576, 16645, 29302, 16409, 16604, 16403, 16396, 35521, 16471, 35181, 16717, 17139, 22374, 16642, 16395, 16604, 16405, 16395, 16407, 16396, 56963, 16826, 16472, 17976, 18276, 16675, 17098, 16723, 16604, 16391, 16426, 16468, 21478, 17605, 16813, 16397, 16604, 16442, 16415, 23965, 16402, 16405, 16444, 16392, 16395, 16604, 16401, 29084, 16395, 16403, 29084, 16396, 16451, 20708, 21105, 21107, 16396, 16402, 29084, 16395, 16405, 29084, 16396, 24430, 17078, 18289, 28947, 16666, 60974, 16674, 16604, 16403, 29084, 16396, 54774, 16396, 16401, 29084, 16395, 16405, 29084, 16396, 24430, 17078, 18289, 28947, 16666, 60974, 16604, 16391, 16426, 16468, 21478, 17605, 16813, 16397, 16604, 16442, 16415, 23965, 16403, 16400, 16444, 16410, 16759, 16473, 17456, 16746, 17605, 16813, 16397, 16604, 16442, 16415, 23965, 16400, 16402, 16444, 16392, 16674, 32847, 16666, 29302, 16409, 42089, 16688, 35681, 25653, 16604, 16391, 16426, 16468, 21478, 17605, 16813, 16397, 16604, 16442, 16415, 23965, 16403, 16403, 16444, 16392, 16674, 38214, 16689, 21533, 16856, 16604, 16391, 16426, 16468, 21478, 17605, 16813, 16397, 16604, 16442, 16415, 23965, 16403, 16404, 16444, 16392, 26923, 17203, 60876, 17741, 22629, 17225, 19938, 17647, 19001, 20053, 18155, 20329, 16397, 16875, 16641, 33118, 18147, 24201, 17415, 16647, 20292, 16715, 35299, 16674, 31547, 20468, 16604, 16391, 23779, 20678, 16392, 16672, 18764, 20952, 16674, 16647, 18611, 26460, 21054, 16604, 16391, 24281, 16424, 16392, 16672, 16647, 21119, 16395, 18295, 18764, 21793, 20282, 44793, 35885, 18241, 23798, 17987, 19962, 17647, 16641, 22765, 16673, 17567, 18206, 18155, 20329, 16604, 16391, 19081, 16851, 28329, 16421, 16406, 16395, 40956, 16700, 16426, 16400, 16399, 16674, 58117, 16876, 39378, 16405, 16401, 16392, 16604, 16391, 16421, 16663, 17042, 17605, 16813, 16397, 16604, 16442, 16415, 23965, 16401, 16400, 16444, 16395, 16604, 16442, 16415, 23965, 16401, 16401, 16444, 16392, 16397, 21793, 49265, 22372, 17274, 16741, 16604, 16393, 16421, 50362, 16733, 20314, 19904, 16393, 16604, 16391, 16419, 16473, 17456, 16746, 17605, 16813, 16397, 16604, 16442, 16415, 23965, 16400, 16403, 16444, 16392, 16395, 16604, 16393, 16420, 42928, 18983, 27736, 22806, 16730, 16393, 16395, 16604, 16393, 16439, 18161, 41772, 16641, 17078, 29338, 19136, 16393, 16395, 16604, 16393, 16431, 35166, 17895, 17582, 16393, 16395, 16604, 16393, 65403, 17180, 42397, 33155, 16393, 16604, 16391, 16426, 16468, 21478, 17605, 16813, 16397, 16604, 16442, 16415, 23965, 16402, 16406, 16444, 16392, 16395, 16604, 16393, 19089, 19952, 16717, 16460, 17245, 16915, 17263, 30524, 16393, 16395, 16604, 16393, 18747, 23823, 21120, 16667, 16656, 17180, 16393, 16604, 16391, 16426, 16468, 21478, 17605, 16813, 16397, 16604, 16442, 16415, 23965, 16403, 16399, 16444, 16392, 17027, 26923, 17203, 59555, 62586, 19863, 20632, 16396, 45816, 16674, 20632, 16396, 44612, 20053, 18155, 20329, 16397, 16875, 17038, 24036, 19514, 16673, 18241, 23798, 17987, 19059, 16815, 21793, 49265, 56023, 16395, 16742, 20087, 16647, 17875, 18077, 16671, 26426, 16647, 59555, 62586, 16673, 16604, 16400, 16400, 22372, 35466, 17405, 16671, 22335, 20053, 16785, 20062, 19619, 32009, 37024, 16671, 20053, 16785, 20053, 16396, 19064, 22665, 16395, 17274, 16741, 26709, 16674, 20848, 27821, 16395, 36612, 16395, 38598, 16395, 33886, 44934, 16674, 31589, 24720, 16604, 16391, 16426, 16468, 21478, 17605, 16813, 16397, 16604, 16442, 16415, 23965, 16403, 16403, 16444, 16392, 16397, 16772, 18077, 16763, 23447, 16671, 16647, 25416, 16673, 16647, 19629, 16673, 16647, 17567, 17154, 20432, 44793, 16815, 17142, 49265, 22372, 16395, 16604, 16393, 31721, 20406, 20643, 16675, 17180, 16393, 22273, 16397, 16604, 16391, 17375, 23786, 45348, 16392, 16674, 16604, 16393, 28753, 16736, 20602, 16448, 17520, 16748, 16656, 16393, 53403, 16604, 16391, 28753, 16736, 20602, 45348, 16392, 16671, 26148, 16647, 18155, 23093, 21559, 16395, 21671, 16463, 17779, 19962, 16395, 46386, 29993, 19056, 16604, 16391, 16428, 23801, 16392, 16674, 16671, 19031, 16647, 19378, 16673, 44465, 27312, 20969, 16604, 16391, 16433, 19445, 16392, 16672, 52283, 16719, 23965, 16421, 16396, 16396, 16418, 20321, 19487, 16397, 16582, 16582, 41751, 16604, 16474, 16386, 37256, 16401, 16476, 16582, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16582, 16582, 62347, 18651, 16674, 35761, 16604, 16474, 16386, 37256, 16402, 16476, 16582, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16582, 16582, 19315, 49265, 22372, 23679, 16769, 35466, 17405, 16672, 16647, 19083, 16673, 20053, 16785, 20062, 19619, 16734, 22665, 19359, 16671, 20053, 16397, 54196, 16958, 23980, 16672, 17476, 23349, 16673, 58817, 16672, 19160, 16604, 16401, 16399, 16400, 16401, 16397, 17513, 19618, 16604, 16393, 16431, 16959, 17757, 16745, 25463, 17997, 16726, 25192, 16467, 19904, 16393, 16395, 16604, 16393, 18342, 16717, 25437, 16448, 54458, 16949, 40518, 16393, 16395, 16604, 16393, 31721, 20406, 20643, 16675, 17180, 16393, 16395, 16604, 16393, 21356, 35151, 19587, 17052, 27018, 16713, 16757, 19904, 16393, 16395, 16604, 16393, 16423, 16949, 16656, 17248, 17700, 19252, 16682, 16730, 16393, 16395, 16604, 16393, 19536, 17139, 33340, 17700, 19252, 38564, 16393, 16395, 16604, 16393, 16428, 19365, 16448, 40584, 22629, 16448, 16393, 16395, 16604, 16393, 38548, 17728, 16643, 42653, 37151, 29932, 16393, 16395, 16604, 16393, 16439, 25463, 16786, 20740, 16669, 18404, 18245, 16448, 16393, 16395, 16604, 16393, 16420, 16825, 30805, 37442, 39803, 17180, 16393, 16674, 16604, 16393, 28753, 16736, 20602, 16448, 17520, 16748, 16656, 16393, 16397, 16772, 20282, 20049, 28020, 16769, 19628, 16672, 23984, 18331, 16442, 16400, 16444, 16391, 16386, 34185, 16400, 16392, 16474, 18452, 16396, 18926, 16412, 16385, 22246, 16385, 16476, 16397, 16772, 22372, 16958, 21766, 16767, 16647, 18611, 61882, 35151, 16604, 16391, 54133, 16889, 17169, 16395, 58817, 16392, 16395, 17187, 63363, 41328, 16958, 40909, 17131, 16647, 21178, 20246, 19628, 16672, 23984, 18331, 16442, 16400, 16444, 16391, 16386, 34185, 16400, 16392, 16474, 18452, 16396, 18926, 16412, 16385, 22246, 16385, 16476, 16397, 16772, 18398, 16396, 16451, 18425, 16674, 21152, 20439, 20282, 18651, 16604, 16391, 16404, 16399, 18331, 16454, 16392, 16763, 56350, 16672, 63718, 16604, 16391, 16401, 16399, 16399, 18331, 38632, 16392, 16715, 16604, 16403, 16407, 18331, 16455, 16395, 16767, 18392, 21452, 16397, 16772, 63718, 24303, 16763, 35678, 16672, 32724, 17131, 21999, 20301, 16767, 16604, 16405, 16407, 18331, 21896, 16418, 16671, 17882, 16647, 32958, 24303, 16397, 17170, 24303, 16763, 19765, 34515, 16767, 18392, 21452, 16395, 17177, 51409, 16767, 16604, 16403, 18331, 21896, 16418, 18015, 18613, 17231, 16397, 22224, 18331, 16400, 28286, 17624, 16674, 20369, 16709, 19591, 16673, 26987, 19811, 16674, 30119, 16673, 16647, 23954, 22372, 21629, 19613, 16604, 16391, 31701, 16392, 16410, 63363, 17679, 16445, 16448, 16445, 60654, 20760, 60468, 17405, 16604, 16391, 16388, 44883, 16392, 16445, 16449, 16445, 44318, 21126, 16785, 24127, 25069, 21126, 22539, 44318, 34984, 16673, 32958, 24303, 16393, 18342, 16717, 25437, 16448, 54458, 16949, 40518, 16393, 45810, 16683, 16397, 35287, 16397, 16604, 16391, 16420, 16825, 30805, 37442, 16718, 20056, 16392, 16443, 16582, 16403, 16404, 16408, 16404, 16398, 65463, 20091, 36507, 16673, 16604, 16442, 16449, 31848, 16444, 16474, 16397, 16748, 16476, 16674, 33886, 44934, 29160, 16395, 28927, 20530, 18057, 16672, 17968, 16604, 16391, 20012, 28244, 17519, 16788, 17605, 16813, 16397, 16604, 16442, 16415, 23965, 16401, 16444, 16410, 16832, 17236, 16453, 16871, 17605, 16813, 16397, 16604, 16442, 16415, 23965, 16401, 16407, 16444, 16392, 16395, 50145, 16395, 35386, 16674, 47099, 19153, 16395, 43848, 16672, 16647, 18544, 16395, 44237, 42851, 16448, 16395, 47991, 19153, 16395, 28025, 63262, 16674, 47099, 27821, 16604, 16391, 34948, 17052, 16793, 16889, 16663, 17605, 16813, 16397, 16604, 16442, 16415, 23965, 16405, 16405, 16444, 16392, 16395, 16604, 16442, 21592, 21269, 16786, 16680, 48937, 16444, 16474, 16397, 16748, 16476, 16395, 50145, 16395, 35386, 16674, 47099, 27821, 16604, 16391, 26895, 20649, 16468, 49453, 41042, 17605, 16813, 16397, 16604, 16442, 16415, 23965, 16403, 16408, 16444, 16410, 32707, 16915, 17605, 16813, 16397, 16604, 16442, 16415, 23965, 16403, 16406, 16444, 16392, 16395, 16604, 16442, 40297, 16725, 16444, 16474, 16397, 16748, 16476, 16604, 16391, 25593, 17456, 16452, 17605, 16813, 16397, 16604, 16442, 16415, 23965, 16404, 16407, 16444, 16392, 16417, 17004, 16604, 16391, 16400, 16407, 16397, 16408, 16400, 18331, 16388, 16392, 16674, 22485, 16604, 16391, 16403, 16397, 16404, 16405, 18331, 16388, 16392, 16420, 42588, 16723, 16395, 35285, 16642, 16723, 16395, 26684, 17139, 16786, 22208, 16395, 65317, 52051, 16396, 16828, 20928, 25200, 16395, 16604, 16402, 16396, 37282, 32917, 16396, 16406, 16395, 16407, 16396, 16934, 18289, 33508, 16837, 16657, 16396, 16400, 16396, 16723, 16604, 16391, 25593, 17456, 16452, 17605, 16813, 16397, 16604, 16442, 16415, 23965, 16404, 16407, 16444, 16392, 37861, 16949, 31848, 19811, 16673, 32958, 17647, 16604, 16393, 16417, 16450, 16393, 16395, 16604, 16393, 16420, 16453, 16393, 16395, 16604, 16393, 65221, 16393, 16395, 16604, 16393, 29804, 16393, 16395, 16604, 16393, 16426, 16463, 16393, 16395, 16604, 16393, 25478, 16393, 16395, 16604, 16393, 16431, 16460, 16393, 16395, 16604, 16393, 16434, 16466, 16393, 16604, 16391, 34948, 17052, 16793, 16889, 16663, 17605, 16813, 16397, 16604, 16442, 16415, 23965, 16405, 16405, 16444, 16392, 16410, 52743, 20381, 16396, 42436, 19938, 16604, 16391, 25593, 17456, 16452, 17605, 16813, 16397, 16604, 16442, 16415, 23965, 16404, 16407, 16444, 16392, 16393, 31721, 20406, 20643, 16675, 17180, 16393, 22273, 16397, 16604, 16391, 17375 ]
[ 0, 16386, 16386, 16386, 16386, 16386, 16386, 16957, 19674, 34793, 16674, 28334, 16673, 16811, 18077, 16582, 16582, 16396, 16650, 16772, 18077, 17586, 16958, 21715, 17181, 16641, 41510, 21996, 16891, 16809, 18492, 16396, 16928, 16396, 18549, 26402, 16397, 16772, 22187, 16958, 24875, 16671, 19646, 37495, 22888, 16815, 16914, 18521, 16674, 19969, 21898, 16397, 17513, 16958, 28950, 16809, 16647, 18147, 26160, 17560, 17586, 20555, 16397, 16582, 16582, 16396, 16650, 17170, 18077, 19522, 17889, 28481, 16673, 22383, 16672, 18308, 20286, 34204, 17415, 16647, 23425, 16674, 20985, 24543, 21661, 16397, 16582, 16582, 16396, 16650, 26272, 16658, 19019, 21348, 28830, 16763, 17405, 16671, 27768, 37495, 17586, 17415, 19318, 16395, 20557, 28456, 23806, 16397, 16582, 16582, 16447, 16447, 16447, 16474, 16412, 20813, 16476, 16582, 16411, 16384, 16396, 16396, 16604, 16396, 16396, 16413, 16582, 16447, 16447, 16447, 16582, 16396, 16650, 16711, 18166, 36386, 16704, 16647, 17785, 22281, 19101, 16673, 16647, 18077, 16410, 18919, 16395, 16811, 16704, 16641, 46963, 18077, 16395, 16674, 16647, 18466, 16769, 20236, 16671, 16647, 18077, 22381, 16397, 16582, 16582, 16396, 16650, 16772, 17231, 16673, 16647, 37495, 25627, 41510, 16704, 18138, 16709, 16641, 20236, 32696, 22954, 16673, 18308, 17585, 25627, 17030, 16641, 16604, 16406, 16396, 17093, 18472, 16410, 20821, 16395, 16728, 17123, 16804, 16703, 19765, 25923, 16673, 16858, 18308, 20696, 16674, 18308, 19318, 16721, 17123, 16807, 16992, 34204, 16809, 16647, 17476, 18702, 27216, 16397, 16582, 16582, 38194, 16604, 16474, 16386, 16466, 16400, 16476, 16582, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16582, 16582, 40255, 31970, 16672, 17360, 24558, 16604, 16391, 52545, 16392, 16769, 16767, 20580, 18813, 16673, 21625, 17301, 16396, 20524, 19527, 17274, 16741, 19049, 16456, 24725, 16395, 26600, 16442, 16415, 16433, 16400, 16444, 16674, 36632, 20062, 16442, 16415, 16433, 16403, 16444, 18443, 16671, 34147, 16395, 21365, 16741, 17961, 16641, 18370, 19027, 21304, 16604, 16391, 26286, 16424, 16392, 18331, 16443, 16413, 16402, 16399, 20464, 27114, 16398, 16460, 16445, 16401, 16445, 16397, 16772, 33645, 16673, 34147, 16604, 16391, 16405, 16406, 16388, 16672, 22710, 26661, 16604, 16400, 16404, 16394, 18331, 35518, 16392, 16672, 24543, 31970, 16704, 22472, 16721, 16672, 16647, 18723, 19971, 16604, 16391, 16402, 16402, 16388, 16392, 16397, 16442, 16415, 16433, 16404, 16444, 19055, 31464, 16872, 16992, 27716, 16741, 16641, 17539, 16673, 16647, 21910, 25503, 17845, 21958, 36651, 16395, 16442, 16415, 16433, 16405, 16444, 19868, 16671, 16667, 18712, 39209, 16398, 35994, 22049, 61317, 16721, 28435, 17181, 37495, 50582, 16397, 16442, 16415, 16433, 16405, 16444, 35773, 20010, 17845, 37495, 24294, 16395, 59531, 16809, 17362, 18712, 32871, 16674, 21541, 33409, 18308, 16395, 16442, 16415, 16433, 16407, 16444, 16674, 22803, 29637, 16395, 17274, 16741, 17961, 16922, 18291, 16671, 17827, 21374, 41194, 16674, 18308, 16395, 16442, 16415, 16433, 16408, 16444, 21458, 16647, 20007, 21477, 16397, 16442, 16415, 16433, 16400, 16400, 16444, 16772, 23806, 16815, 16647, 40399, 18982, 40564, 22309, 16709, 24543, 31970, 19074, 18655, 24294, 16673, 18712, 16395, 27520, 17751, 16698, 24012, 31638, 16395, 37495, 26401, 17231, 16674, 37495, 29637, 16604, 16391, 21267, 16395, 25043, 16673, 26595, 16674, 16977, 18308, 20286, 16395, 24437, 16674, 38978, 31638, 18331, 16770, 25690, 31638, 16392, 16395, 19739, 16734, 16647, 18723, 19971, 16397, 16442, 16415, 16433, 16400, 16401, 16444, 16582, 16582, 19516, 31464, 20627, 19072, 16671, 21691, 16715, 16858, 18198, 17047, 26661, 16604, 16400, 16404, 16396, 16396, 16401, 16403, 17202, 16395, 16734, 16647, 21165, 19031, 18493, 18198, 24543, 31970, 16604, 16391, 16825, 16809, 16604, 16404, 16399, 16388, 17415, 16604, 16401, 16399, 16399, 16406, 16674, 16604, 16401, 16399, 16400, 16401, 16392, 16397, 16442, 16415, 16433, 16400, 16402, 16444, 34617, 40399, 18147, 16872, 32689, 16647, 19032, 16673, 17797, 28680, 16709, 16647, 37495, 18950, 16673, 18198, 17047, 16442, 16415, 16433, 16400, 16403, 16444, 16674, 17494, 16721, 22803, 17797, 28680, 18226, 16955, 16667, 20562, 19508, 17717, 16709, 16647, 17616, 18308, 18805, 16442, 16415, 16433, 16400, 16404, 16444, 16674, 16721, 16728, 26220, 16647, 27793, 16673, 16922, 21374, 18308, 16397, 16442, 16415, 16433, 16400, 16399, 16444, 28992, 16815, 16647, 28217, 16390, 16400, 16401, 30974, 31412, 18655, 23806, 16721, 21233, 17797, 28680, 16958, 19970, 16734, 19508, 25178, 16715, 18198, 17047, 16395, 16944, 16958, 35204, 21437, 16715, 17310, 19006, 16672, 16647, 19251, 54873, 38658, 16466, 16604, 16391, 16405, 16405, 16388, 16392, 16395, 19739, 16734, 17310, 16672, 16647, 18846, 54873, 19147, 16604, 16391, 16404, 16407, 16388, 16392, 16397, 16442, 16415, 16433, 16400, 16405, 16444, 18523, 16395, 16647, 22309, 18466, 16829, 16804, 18288, 16998, 40979, 16741, 16671, 16647, 34147, 16396, 21670, 27287, 16671, 18613, 20287, 16931, 17818, 18198, 17047, 19072, 16671, 20647, 16819, 28038, 17164, 16397, 16999, 16872, 17027, 16992, 19628, 16721, 18198, 17047, 28930, 26158, 16395, 54550, 16673, 19006, 16672, 18422, 18229, 54873, 16785, 16922, 60548, 38658, 16466, 16395, 17257, 16804, 21458, 42498, 16674, 34147, 18707, 16715, 18198, 17047, 16397, 16442, 16415, 16433, 16400, 16406, 16444, 24161, 18147, 16872, 21882, 16709, 20287, 16647, 24543, 20174, 16673, 18237, 21085, 16674, 18308, 16741, 17361, 16396, 21670, 19811, 16395, 16674, 16986, 16704, 20209, 24702, 16673, 16647, 22228, 16673, 16811, 16980, 34147, 28354, 23575, 16769, 16671, 20176, 16397, 16442, 16415, 16433, 16400, 16407, 16444, 16582, 16582, 17071, 16604, 16401, 16399, 16400, 16403, 16395, 16742, 28020, 34147, 16396, 21670, 17730, 18707, 18493, 16604, 16402, 16399, 24543, 22187, 16815, 16647, 44940, 16674, 43907, 23349, 16673, 40399, 16672, 16647, 25805, 18077, 16395, 16604, 16390, 16393, 21251, 23235, 16647, 23528, 16709, 20728, 16384, 17887, 17257, 16721, 17335, 16931, 16848, 16414, 16393, 16390, 16397, 16772, 33317, 16674, 25174, 16673, 16647, 18077, 16872, 16992, 19807, 26350, 16397, 16442, 16415, 16433, 16400, 16408, 16444, 17376, 17015, 16673, 16721, 18077, 16395, 16742, 17027, 28152, 24543, 49541, 16390, 22888, 16674, 22803, 29637, 16741, 16728, 30445, 16671, 34147, 18356, 16397, 16875, 18343, 16395, 16742, 33114, 37495, 25627, 16741, 16641, 17510, 16673, 30900, 22888, 18950, 16395, 16944, 17120, 16703, 21221, 16672, 29213, 37495, 22825, 18467, 16674, 18288, 28481, 16671, 22047, 18356, 16673, 26536, 23575, 16671, 19077, 22888, 18950, 16674, 17730, 25178, 16715, 18198, 24543, 31970, 16397, 16772, 20199, 16673, 16647, 17788, 19420, 16704, 16671, 27768, 16647, 17361, 23010, 17194, 37495, 24294, 18493, 16604, 16402, 16399, 18198, 24543, 22710, 26661, 16604, 16400, 16404, 16396, 16396, 16401, 16403, 17202, 16395, 16674, 16604, 16402, 16403, 19326, 16674, 39083, 16395, 16815, 44940, 16674, 43907, 23349, 16397, 16582, 16582, 24719, 16604, 16474, 16386, 16466, 16401, 16476, 16582, 16412, 16412, 16412, 16412, 16412, 16412, 16582, 16582, 20404, 16641, 25805, 18077, 16673, 16604, 16402, 16399, 18198, 24543, 22710, 26661, 16604, 16400, 16404, 16396, 16396, 16401, 16403, 17202, 16672, 44940, 16674, 43907, 16395, 40399, 16395, 16742, 28020, 16647, 18237, 18331, 42091, 64923, 16673, 16647, 17243, 16659, 31018, 18805, 16397, 16772, 18077, 16763, 22546, 16672, 17142, 33780, 16395, 16674, 16647, 19170, 18077, 33317, 16872, 16992, 21216, 19807, 16395, 16442, 16415, 16433, 16400, 16408, 16444, 16944, 20101, 16647, 33976, 16395, 41510, 17586, 16674, 16647, 18237, 18331, 26354, 20147, 16673, 16647, 22381, 16395, 16815, 21876, 16604, 16400, 16397, 17170, 19420, 25268, 17586, 23693, 16815, 21876, 16604, 16401, 16395, 21715, 16815, 18198, 24543, 31970, 16929, 16958, 24875, 16671, 19724, 16674, 19646, 17624, 16815, 16917, 24543, 18521, 16674, 16917, 24543, 19969, 21898, 16671, 27768, 16674, 24416, 20985, 21661, 16390, 16466, 37495, 29637, 16734, 17310, 16673, 16647, 24543, 22187, 17585, 16604, 16391, 38645, 16604, 16400, 16392, 17655, 16647, 28270, 16736, 23591, 37495, 25627, 41510, 16604, 16391, 54928, 19057, 16392, 16397, 17376, 24543, 31970, 16769, 16804, 16641, 18826, 41156, 17585, 16395, 16742, 16868, 20430, 16671, 17007, 16741, 28270, 16736, 23591, 16395, 21365, 16741, 16641, 27599, 17585, 16673, 17047, 26489, 16647, 17476, 24543, 21879, 25276, 16674, 16914, 26945, 26348, 16395, 18237, 18331, 42091, 41079, 16674, 34670, 16397, 16582, 16582, 55870, 27303, 16604, 16474, 16386, 16466, 16401, 16448, 16476, 16582, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16582, 16582, 56666, 16958, 16804, 19423, 16672, 16647, 20695, 16785, 17802, 16673, 16647, 18077, 16397, 16582, 16582, 28621, 20147, 16604, 16474, 16386, 16466, 16401, 16449, 16476, 16582, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16582, 16582, 40017, 48325, 17586, 16958, 21715, 16815, 16647, 18521, 16674, 19969, 21898, 16741, 16972, 16647, 25022, 16604, 16391, 18549, 16671, 18492, 16392, 20101, 16672, 21876, 16604, 16400, 18331, 17663, 16647, 18077, 16395, 16442, 16415, 16433, 16400, 16408, 16444, 17789, 23975, 20007, 16674, 22908, 16395, 16815, 16944, 47750, 16763, 21487, 16397, 17119, 17405, 16647, 19440, 19749, 18668, 16396, 26532, 16672, 33295, 34147, 16397, 16442, 16415, 16433, 16401, 16399, 16444, 47750, 16763, 44511, 16741, 16641, 26416, 24579, 16395, 16734, 16641, 47750, 16673, 18331, 44438, 16482, 16402, 16399, 20464, 27114, 16398, 16460, 16445, 16401, 16445, 16674, 16604, 16401, 16404, 16396, 16396, 16401, 16408, 16397, 16408, 20464, 27114, 16398, 16460, 16445, 16401, 16445, 21365, 16741, 17255, 45446, 16674, 42498, 16395, 22358, 16397, 16442, 16415, 16433, 16401, 16400, 16444, 34353, 16771, 16396, 16928, 16396, 17461, 21831, 18163, 16763, 17027, 23975, 16395, 16815, 16944, 16647, 37707, 16396, 16396, 17461, 21844, 16604, 16391, 27423, 16433, 16392, 16763, 21487, 16671, 18288, 16641, 20165, 16673, 20854, 49238, 31757, 16671, 24396, 19970, 18813, 16673, 23017, 36632, 19122, 16397, 16442, 16415, 16433, 16401, 16401, 16444, 16772, 37707, 16396, 16928, 16396, 25666, 21844, 16604, 16391, 16438, 16467, 28315, 16392, 16763, 17027, 25722, 16395, 16741, 16667, 58328, 20165, 16673, 20854, 34147, 16395, 16944, 16704, 17827, 37381, 16671, 27317, 20341, 17032, 24015, 16433, 16397, 16442, 16415, 16433, 16401, 16402, 16444, 18705, 52124, 16763, 29998, 17655, 16647, 40399, 25494, 16401, 16399, 16400, 16402, 20165, 16395, 16442, 16415, 16433, 16401, 16404, 16444, 16641, 17785, 18124, 16396, 19338, 20165, 16673, 54873, 26552, 16815, 16647, 16604, 16401, 16399, 16400, 16402, 37065, 16395, 16944, 20760, 22394, 25625, 16604, 16391, 41743, 21734, 20638, 16395, 23428, 16395, 23909, 20638, 16395, 21318, 16395, 20734, 16395, 17564, 16395, 37623, 16395, 19006, 18692, 16674, 17616, 26980, 16392, 16815, 16647, 37065, 16671, 17617, 17785, 18124, 25426, 16709, 16641, 54873, 21434, 16815, 16604, 16400, 16671, 16604, 16400, 16399, 16734, 16604, 16400, 16399, 26489, 16647, 17154, 48340, 16604, 16400, 16399, 16388, 16673, 40399, 19147, 16395, 17437, 16604, 16400, 23294, 16647, 16604, 16400, 16399, 16388, 17965, 48340, 19147, 16397, 17544, 28830, 16395, 54873, 16763, 41985, 17845, 17065, 47902, 19610, 34914, 17382, 19610, 16604, 16400, 16396, 16396, 16401, 16395, 16604, 16402, 16396, 16396, 16403, 16395, 16604, 16404, 16396, 16396, 16405, 16395, 16604, 16406, 16396, 16396, 16407, 16674, 16604, 16408, 16396, 16396, 16400, 16399, 16397, 24965, 22971, 16798, 16763, 21365, 18745, 16671, 19749, 40399, 37065, 17586, 16442, 16415, 16433, 16401, 16405, 16444, 16674, 18171, 16396, 44163, 16809, 17492, 33564, 16410, 18919, 16395, 16715, 25769, 16672, 16647, 17913, 16395, 19326, 16674, 39083, 18964, 16671, 16703, 18171, 16396, 17200, 34757, 16741, 17255, 16673, 24543, 46580, 16397, 22409, 18230, 16395, 16647, 22381, 16958, 17027, 24850, 16671, 18156, 16998, 29397, 16396, 51822, 17737, 19527, 16671, 23443, 16647, 21057, 16673, 60435, 16397, 16582, 16582, 16419, 18823, 16936, 25627, 16604, 16474, 16386, 16466, 16401, 16450, 16476, 16582, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16582, 16582, 16853, 24543, 37495, 25627, 41510, 16763, 35760, 16809, 16647, 18147, 17562, 16671, 20114, 16647, 25174, 16673, 18403, 25792, 16674, 18308, 19318, 16672, 24543, 31970, 16390, 44129, 16397, 16772, 37495, 25627, 41510, 26615, 16671, 25217, 16647, 16604, 16390, 24193, 16673, 18308, 16390, 16721, 17047, 35174, 17030, 16641, 16604, 16406, 16396, 17093, 18472, 16674, 16804, 16671, 20165, 30421, 16673, 18308, 20696, 16945, 16647, 16604, 16390, 35668, 23790, 41510, 16390, 16397, 17170, 18383, 16673, 23405, 16872, 16992, 17405, 18493, 16977, 35160, 19318, 24228, 16395, 16674, 16728, 16872, 16992, 25736, 16671, 16703, 20176, 17032, 16641, 35605, 23405, 16673, 30191, 16647, 18950, 16673, 16647, 22888, 16397, 16442, 16415, 16433, 16401, 16406, 16444, 17170, 41510, 16763, 18225, 27840, 18493, 16667, 21191, 18205, 17585, 16673, 28270, 16736, 23591, 22187, 16604, 16391, 16461, 16412, 16402, 16399, 16392, 16815, 44940, 16395, 16674, 16728, 16763, 31336, 16671, 18379, 18545, 18308, 16721, 16961, 16703, 34204, 16809, 28270, 16736, 23591, 17047, 16672, 40399, 16604, 16391, 21267, 16395, 16664, 36095, 26579, 22590, 16604, 16443, 16442, 34491, 17749, 24309, 16443, 16444, 16392, 16397, 16582, 16582, 19862, 16709, 17476, 18403, 25792, 16674, 18308, 19318, 16721, 16958, 34204, 17030, 16641, 16604, 16406, 16396, 17093, 18472, 16604, 16391, 38797, 18472, 16392, 16958, 23980, 16674, 22322, 16604, 16391, 16451, 16863, 64572, 17845, 16409, 19585, 16398, 19355, 16392, 16809, 16647, 24543, 22187, 16929, 16958, 22381, 16672, 21876, 16604, 16400, 18331, 16770, 16958, 24875, 16809, 16647, 18147, 17562, 16767, 16641, 18494, 17386, 28212, 16397, 16772, 19115, 19423, 22445, 18084, 16674, 20287, 16647, 41510, 16674, 56959, 16397, 28671, 16647, 19115, 17386, 16395, 17492, 22187, 29216, 16674, 34683, 16641, 18492, 16396, 16928, 18492, 19724, 16604, 16391, 16861, 20036, 16657, 17245, 16809, 16641, 18147, 26160, 16392, 16395, 16734, 16641, 18521, 16674, 19969, 21898, 16397, 16772 ]
[ 0, 16582, 16408, 16407, 16402, 16773, 16397, 23182, 16397, 16604, 16408, 16406, 16406, 16604, 16391, 16400, 16408, 16408, 16406, 16392, 16582, 16434, 27881, 17759, 42251, 18317, 29807, 49943, 49353, 16395, 48167, 16395, 16582, 16469, 16397, 16582, 16423, 19785, 18320, 22809, 16727, 32285, 19429, 16395, 16641, 24132, 16673, 26805, 39490, 16395, 19376, 16397, 16395, 16674, 41795, 29205, 16395, 16641, 24132, 16673, 48716, 23813, 16395, 62578, 16397, 16582, 19084, 16397, 16719, 20137, 16397, 16711, 16397, 16604, 16408, 16405, 16396, 16401, 16401, 16405, 16401, 16396, 16420, 20718, 16397, 16582, 32384, 18644, 21599, 19758, 16395, 16759, 16397, 27298, 16397, 16582, 30867, 16604, 16401, 16401, 16395, 16604, 16400, 16408, 16408, 16406, 16397, 16582, 16393, 16408, 16406, 16407, 16604, 16393, 16408, 16406, 16408, 16604, 16393, 16408, 16407, 16399, 16604, 16393, 16408, 16407, 16400, 22801, 16727, 16397, 21363, 16472, 17392, 16395, 21363, 16472, 17392, 16604, 16389, 52468, 19066, 16395, 16719, 16781, 16451, 16397, 16395, 20956, 17373, 19106, 16395, 50072, 16395, 20513, 16796, 16397, 47217, 16786, 16395, 22229, 16727, 16397, 17565, 16675, 26173, 16456, 16395, 21043, 16832, 16397, 16700, 23966, 16656, 16395, 17360, 18533, 18660, 16395, 16715, 48167, 16702, 16731, 16645, 49486, 18035, 16397, 16582, 41774, 16657, 16778, 16397, 27315, 16395, 46975, 16395, 16762, 16913, 22854, 16395, 22843, 16604, 16389, 27315, 16395, 21206, 17713, 16395, 50072, 16395, 27748, 16727, 16397, 17267, 16428, 31085, 16395, 17485, 18503, 16808, 16395, 30108, 16604, 16389, 33916, 20450, 16395, 20956, 17373, 19106, 16395, 50072, 16395, 16715, 56176, 35104, 62853, 16397, 16582, 17611, 17423, 54726, 22480, 17768, 16395, 16957, 24390, 16395, 20981, 16604, 16389, 16773, 23380, 17182, 16395, 16739, 16397, 16418, 16397, 16395, 20956, 17373, 19106, 16395, 50072, 16395, 18157, 16719, 16397, 16711, 27902, 19081, 16472, 16395, 16957, 24390, 16395, 20981, 16604, 16389, 16773, 23380, 17182, 16395, 16739, 16397, 16418, 16397, 16395, 27298, 18660, 16395, 25890, 16395, 21117, 16738, 16397, 17853, 64873, 16395, 26866, 18126, 16397, 57513, 16395, 16702, 24446, 16604, 16389, 21906, 17043, 16790, 16397, 16427, 16397, 16431, 16397, 16395, 30486, 16395, 42727, 16395, 16715, 56176, 41795, 29205, 16397, 16582, 16582, 55423, 18092, 23849, 22598, 21828, 64361, 16582, 16420, 18016, 16427, 16799, 16397, 16830, 16390, 62698, 18092, 16395, 21599, 27735, 16397, 16582, 17635, 18798, 16704, 17329, 16647, 19124, 16709, 16647, 22846, 16715, 25698, 25926, 16673, 30212, 41795, 29205, 16604, 16391, 16385, 31025, 33046, 16385, 16392, 16709, 35340, 16390, 16466, 27057, 16604, 16391, 31224, 16397, 16604, 16386, 16604, 16406, 16402, 16392, 16395, 16674, 30212, 41795, 16390, 16466, 22846, 16715, 25698, 25926, 16709, 30212, 35104, 62853, 16390, 16466, 19532, 16396, 24867, 16604, 16391, 31224, 16397, 16604, 16386, 16604, 16400, 16401, 16403, 16392, 16397, 18916, 25809, 25381, 16673, 16647, 21588, 16390, 21695, 16466, 16674, 28056, 33389, 21024, 16395, 16647, 19124, 16704, 21789, 16671, 20866, 16397, 17544, 16647, 20541, 22039, 19057, 16395, 41795, 16390, 16466, 22846, 16709, 35340, 16390, 16466, 27057, 16704, 24971, 16741, 16671, 28062, 16687, 16395, 20448, 16395, 16965, 16395, 45776, 16395, 16674, 44777, 16395, 24971, 16672, 17015, 16674, 26358, 16672, 17015, 16741, 16671, 28062, 25833, 16674, 41850, 16395, 16674, 26358, 16741, 16671, 28062, 23991, 16674, 33251, 16397, 41795, 16390, 16466, 22846, 16704, 24971, 16741, 16671, 16858, 28062, 16709, 30212, 35104, 62853, 16390, 16466, 19532, 16396, 24867, 16397, 16582, 16582, 39026, 60378, 34322, 16582, 39026, 25926, 16704, 21286, 16604, 16385, 16736, 16647, 54123, 17017, 16395, 28272, 17978, 16395, 23707, 16671, 39291, 34509, 16395, 16674, 34059, 16709, 19471, 16395, 18226, 16734, 16647, 49715, 16962, 17283, 16395, 16980, 16998, 16395, 17299, 16721, 16986, 16704, 17028, 25092, 18710, 16741, 16671, 16998, 18651, 17551, 16674, 16721, 16647, 20069, 19107, 16704, 25237, 16671, 16641, 25926, 16741, 16641, 18798, 16673, 17780, 16397, 16385, 29142, 16397, 16433, 16397, 16418, 16821, 16397, 16431, 16397, 16604, 16404, 16405, 16391, 16450, 16392, 16410, 24242, 27391, 16776, 16397, 33751, 62337, 16395, 19376, 16397, 16395, 16604, 16403, 16406, 16406, 16876, 16397, 16434, 16397, 16604, 16401, 16403, 16401, 16395, 16604, 16401, 16403, 16406, 16395, 16604, 16400, 16399, 16405, 16702, 16397, 52174, 16397, 16604, 16401, 16404, 16399, 16404, 16395, 16604, 16401, 16404, 16400, 16399, 16395, 16604, 16408, 16400, 16790, 16397, 20582, 16397, 16401, 16451, 16604, 16401, 16399, 16401, 16604, 16391, 16400, 16408, 16407, 16405, 16392, 16410, 37418, 53181, 16776, 16397, 65497, 18035, 16397, 16395, 16604, 16400, 16400, 16773, 16397, 16402, 16451, 16604, 16400, 16404, 16402, 16404, 16395, 16604, 16400, 16404, 16402, 16407, 16396, 16402, 16408, 16604, 16391, 16400, 16399, 16757, 32726, 16397, 16400, 16408, 16408, 16402, 16392, 16397, 16711, 46641, 29844, 16704, 16604, 16385, 42287, 16385, 17097, 16980, 16728, 16604, 16385, 58192, 19291, 16647, 24637, 16673, 16647, 23394, 17131, 16647, 33803, 17780, 16397, 16385, 27391, 16395, 16604, 16403, 16406, 16406, 16876, 16397, 16434, 16397, 16767, 16604, 16401, 16403, 16407, 16395, 16604, 16400, 16399, 16405, 16702, 16397, 52174, 16397, 16767, 16604, 16401, 16404, 16400, 16399, 16397, 16582, 16853, 20069, 19107, 32905, 16647, 20808, 27422, 16673, 21317, 16721, 16986, 16704, 16667, 25739, 16673, 16998, 25092, 18710, 16673, 18651, 17551, 16397, 35140, 16701, 17345, 26593, 16397, 16776, 16397, 16719, 22384, 17503, 16395, 16604, 16403, 16406, 16406, 16876, 16397, 16434, 16397, 16604, 16402, 16400, 16406, 16395, 16604, 16402, 16401, 16402, 16395, 16604, 16400, 16399, 16405, 16702, 16397, 52174, 16397, 16604, 16401, 16404, 16403, 16407, 16395, 16604, 16401, 16404, 16404, 16401, 16396, 16404, 16402, 16395, 16604, 16408, 16400, 16790, 16397, 20582, 16397, 16401, 16451, 16604, 16401, 16405, 16404, 16604, 16391, 16400, 16408, 16407, 16405, 16392, 16410, 56802, 16776, 16397, 18660, 16673, 24365, 60998, 16395, 16604, 16408, 16403, 16401, 16773, 16397, 16401, 16451, 16604, 16406, 16402, 16406, 16395, 16604, 16406, 16403, 16402, 16604, 16391, 16400, 16399, 16757, 32726, 16397, 16400, 16408, 16408, 16400, 16392, 16397, 58919, 16395, 16647, 32144, 16741, 16671, 18515, 16667, 18710, 16704, 25092, 16704, 16604, 16385, 45497, 16647, 19591, 25268, 16641, 23454, 49298, 16671, 18616, 32025, 16671, 16647, 28413, 16785, 18515, 16728, 16704, 16859, 16917, 16396, 43710, 16721, 16917, 19107, 17724, 51797, 16741, 16641, 18798, 16673, 17780, 16397, 16385, 27391, 16395, 16604, 16403, 16406, 16406, 16876, 16397, 16434, 16397, 16767, 16604, 16401, 16404, 16400, 16396, 16404, 16401, 16395, 16604, 16400, 16399, 16405, 16702, 16397, 52174, 16397, 16767, 16604, 16401, 16404, 16400, 16400, 16397, 17008, 18710, 16673, 17551, 16704, 25092, 16980, 16647, 19591, 16704, 23454, 16715, 16641, 23655, 28413, 16671, 17911, 16641, 37730, 16715, 16647, 17975, 49327, 19107, 16397, 22233, 16397, 16767, 16604, 16401, 16403, 16407, 16395, 16604, 16400, 16399, 16405, 16702, 16397, 52174, 16397, 16767, 16604, 16401, 16404, 16400, 16399, 16397, 17170, 32144, 23902, 20622, 36803, 16647, 51537, 28056, 33389, 19749, 16673, 23255, 16721, 16961, 20746, 16767, 21459, 16397, 22233, 16397, 16767, 16604, 16401, 16404, 16401, 16395, 16604, 16400, 16399, 16405, 16702, 16397, 52174, 16397, 16767, 16604, 16401, 16404, 16400, 16400, 16396, 16400, 16401, 16397, 16582, 25071, 16647, 20069, 19107, 26894, 17073, 27422, 16395, 16647, 27422, 32830, 16671, 16647, 17975, 49327, 19107, 16671, 26157, 16721, 25092, 18707, 20397, 16715, 21459, 16604, 16385, 16676, 16671, 17310, 28788, 17998, 22742, 16715, 16944, 16728, 29770, 16647, 27422, 16673, 23255, 16397, 16385, 40677, 59000, 21849, 16390, 16459, 16395, 19376, 16397, 16776, 16397, 19833, 23209, 48095, 32643, 16397, 16395, 19376, 16397, 16395, 16604, 16408, 16400, 16401, 16773, 16397, 16401, 16451, 16604, 16400, 16401, 16402, 16407, 16395, 16604, 16400, 16401, 16403, 16400, 16604, 16391, 16400, 16399, 16757, 32726, 16397, 16604, 16400, 16408, 16408, 16399, 16392, 16410, 17134, 17027, 51388, 17931, 20947, 28676, 16450, 16397, 17809, 16730, 16397, 18035, 16397, 16776, 16397, 38638, 16731, 25661, 26593, 16397, 16395, 16604, 16403, 16406, 16404, 16876, 16397, 16434, 16397, 16604, 16404, 16406, 16403, 16395, 16604, 16404, 16407, 16405, 16396, 16407, 16406, 16395, 16604, 16400, 16399, 16405, 16702, 16397, 52174, 16397, 16604, 16400, 16402, 16403, 16407, 16395, 16604, 16400, 16402, 16404, 16404, 16396, 16404, 16405, 16395, 16604, 16407, 16408, 16790, 16397, 20582, 16397, 16401, 16451, 16604, 16404, 16402, 16407, 16604, 16391, 16400, 16408, 16407, 16405, 16392, 16410, 45031, 60700, 17809, 16730, 16397, 16395, 19376, 16397, 16776, 16397, 17389, 22141, 17809, 16730, 16397, 16395, 19376, 16397, 16395, 16604, 16408, 16402, 16408, 16773, 16397, 16401, 16451, 16604, 16407, 16407, 16406, 16395, 16604, 16407, 16408, 16400, 16604, 16391, 16400, 16399, 16757, 32726, 16397, 16400, 16408, 16408, 16400, 16392, 16397, 16772, 17975, 49327, 19107, 17123, 16804, 17745, 16709, 16888, 54123, 17017, 16850, 17724, 17280, 23330, 18462, 23528, 16397, 40677, 59000, 16395, 16604, 16408, 16400, 16401, 16773, 16397, 16401, 16451, 16767, 16604, 16400, 16401, 16403, 16400, 16397, 16582, 16385, 16442, 16438, 16444, 16452, 17724, 18058, 16647, 18156, 16672, 16647, 18109, 17154, 36416, 16671, 16647, 21588, 35023, 16647, 22846, 16715, 25698, 25926, 16397, 16385, 30765, 23162, 16875, 30886, 16397, 16395, 24574, 16397, 16776, 16397, 23582, 50740, 49457, 26593, 16397, 16395, 16604, 16408, 16402, 16407, 16773, 16397, 16401, 16451, 16604, 16400, 16400, 16399, 16404, 16395, 16604, 16400, 16400, 16400, 16399, 16604, 16391, 16400, 16399, 16757, 32726, 16397, 16400, 16408, 16408, 16400, 16392, 16397, 16604, 16385, 17071, 16641, 19208, 16671, 16641, 22846, 16715, 25698, 25926, 16395, 16641, 19107, 19108, 26630, 16709, 35934, 16673, 23528, 16395, 16709, 35456, 16395, 16785, 16709, 37907, 16395, 16674, 17123, 16804, 24660, 25698, 25926, 16672, 16647, 22840, 18453, 16721, 17536, 16868, 17762, 16903, 16767, 21459, 16397, 16385, 17828, 23807, 16776, 16397, 21363, 16395, 16604, 16407, 16404, 16402, 16773, 16397, 16401, 16451, 16604, 16406, 16407, 16408, 16395, 16604, 16406, 16408, 16402, 16604, 16391, 16400, 16399, 16757, 32726, 16397, 16604, 16400, 16408, 16407, 16407, 16392, 16397, 16772, 22840, 23731, 16673, 16991, 23215, 46641, 29844, 17415, 16647, 21588, 16868, 16804, 27270, 16667, 21327, 23296, 22148, 22846, 16715, 25698, 25926, 16397, 27391, 16395, 16604, 16403, 16406, 16406, 16876, 16397, 16434, 16397, 16767, 16604, 16401, 16404, 16405, 16395, 16604, 16400, 16399, 16405, 16702, 16397, 52174, 16397, 16767, 16604, 16401, 16404, 16400, 16403, 16397, 22409, 16647, 17975, 49327, 19107, 28813, 16671, 23296, 20023, 16671, 16647, 22846, 16715, 25698, 25926, 16395, 16647, 23528, 16604, 16393, 16408, 16407, 16401, 16741, 17280, 23330, 16809, 16647, 20069, 19107, 16769, 30650, 25170, 16715, 23185, 16673, 16647, 25698, 25926, 22846, 16397, 16759, 16397, 59035, 16397, 33185, 16604, 16404, 16405, 16397, 16400, 16397, 16582, 17071, 16811, 25627, 17843, 16395, 16742, 46363, 16674, 20746, 27298, 17780, 16734, 16647, 24431, 16721, 16647, 17539, 21715, 16672, 20478, 19124, 17208, 16703, 16647, 17396, 17539, 16741, 16672, 16641, 27298, 19124, 16397, 21125, 29566, 16396, 16416, 18190, 17162, 19171, 18795, 20424, 16397, 17933, 16397, 16401, 16407, 16396, 16425, 16776, 16397, 16796, 24260, 26593, 16397, 16395, 16604, 16408, 16404, 16408, 16773, 16397, 16401, 16451, 16604, 16407, 16405, 16407, 16395, 16604, 16407, 16406, 16399, 16604, 16391, 16400, 16399, 16757, 32726, 16397, 16400, 16408, 16408, 16401, 16392, 16397, 16582, 19132, 18577, 16671, 35340, 16390, 16466, 25347, 21144, 17131, 27298, 17780, 16395, 20478, 17780, 21743, 16715, 45206, 25698, 25926, 20746, 16397, 21125, 29142, 16397, 16433, 16397, 16418, 16821, 16397, 16431, 16397, 16604, 16404, 16405, 16397, 16875, 27391, 16776, 16397, 33751, 62337, 16395, 16604, 16403, 16406, 16406, 16876, 16397, 16434, 16397, 16767, 16604, 16401, 16404, 16401, 16395, 16604, 16401, 16404, 16404, 16395, 16604, 16400, 16399, 16405, 16702, 16397, 52174, 16397, 16767, 16604, 16401, 16404, 16400, 16401, 16395, 16604, 16401, 16404, 16400, 16402, 16396, 16400, 16403, 16395, 16647, 18303, 18644, 24034, 19758, 18939, 16409, 16582, 17052, 16769, 27347, 16721, 16647, 32144, 19423, 16672, 16641, 26887, 16709, 16641, 22846, 16715, 25698, 25926, 16785, 16715, 16641, 23809, 37730, 23902, 20622, 36803, 16647, 51537, 28056, 33389, 19749, 16673, 23255, 16721, 16961, 20746, 16767, 16647, 21459, 16709, 16647, 42695, 16397, 16397, 16397, 16397, 40303, 16395, 17187, 16647, 16604, 16397, 16397, 16397, 16604, 16385, 25339, 16674, 35551, 16385, 19591, 26012, 27352, 16395, 16647, 21459, 22948, 16390, 16466, 25698, 25926, 32144, 16741, 16671, 18515, 16641, 25092, 18710, 23496, 16868, 16703, 18515, 16647, 19591, 20905, 16704, 17274, 16721, 16647, 28413, 26666, 16721, 28056, 33389, 19749, 17120, 32444, 17393, 16715, 18422, 16647, 35340, 16785, 16647, 30212, 16397, 16582, 18342, 18457, 16964, 16673, 25347, 17724, 16703, 25736, 16809, 18271, 16674, 35551, 19591, 16397, 21125, 27921, 20941, 16776, 16397, 47804, 26593, 16397, 16395, 16604, 16408, 16400, 16408, 16773, 16397, 16401, 16451, 16604, 16405, 16400, 16399, 16395, 16604, 16405, 16401, 16405, 16604, 16391, 16400, 16399, 16757, 32726, 16397, 16400, 16408, 16408, 16399, 16392, 16395, 21074, 16397, 26358, 16395, 16604, 16404, 16399, 16399, 16876, 16397, 16434, 16397, 16604, 16408, 16399, 16404, 16395, 16604, 16400, 16400, 16400, 16702, 16397, 52174, 16397, 16604, 16400, 16405, 16407, 16404, 16395, 16604, 16400, 16400, 16403, 16790, 16397, 20582, 16397, 16401, 16451, 16604, 16407, 16399, 16604, 16391, 16400, 16408, 16408, 16400, 16392, 16410, 16702, 44972, 16776, 16397, 16719, 21645, 16395, 16604, 16401, 16399, 16403, 31773, 16397, 16604, 16404, 16408, 16400, 16395, 16604, 16403, 16405, 16403, 16739, 16397, 16401, 16451, 16604, 16400, 16395, 16604, 16405, 16604, 16391, 16400, 16408, 16406, 16399, 16392, 16397, 23121, 16395, 35340, 16741, 16647, 17975, 49327, 19107, 24833, 16647, 27422, 16673, 23255, 16767, 21459, 17724 ]
[ 0, 35732, 60584, 32607, 18808, 16915, 17917, 16672, 30564, 24261, 16395, 21859, 17647, 50401, 16395, 16674, 46044, 17139, 39757, 38759, 16604, 16391, 16442, 16415, 16449, 16400, 16400, 16396, 24693, 16463, 16396, 16400, 16400, 16408, 16396, 16406, 16407, 16403, 16444, 16392, 16397, 17513, 18658, 16647, 17092, 30564, 17647, 58867, 21958, 56750, 16395, 16674, 16873, 34446, 33976, 16673, 45174, 36612, 19487, 16672, 18295, 19007, 20896, 16395, 17789, 25917, 46279, 16802, 42000, 20062, 16604, 16391, 58573, 16419, 16392, 16604, 16391, 16442, 16415, 16449, 16400, 16403, 16396, 24693, 16463, 16396, 16400, 16400, 16408, 16396, 16406, 16407, 16403, 16444, 16410, 16604, 16442, 16415, 16449, 16400, 16406, 16396, 24693, 16463, 16396, 16400, 16400, 16408, 16396, 16406, 16407, 16403, 16444, 16410, 16604, 16442, 16415, 16449, 16402, 16399, 16396, 24693, 16463, 16396, 16400, 16400, 16408, 16396, 16406, 16407, 16403, 16444, 16392, 16397, 16772, 58630, 16725, 16673, 35413, 26128, 27596, 16604, 16391, 22370, 16431, 16392, 16395, 21047, 16809, 19651, 28139, 22008, 30880, 16671, 23972, 17295, 16905, 16395, 22277, 16671, 19348, 35386, 24720, 16604, 16391, 16452, 16397, 16454, 16397, 16395, 63431, 16395, 17153, 26115, 16710, 17847, 16395, 63000, 17002, 20053, 16395, 25917, 39375, 16392, 16604, 16391, 16442, 16415, 16449, 16401, 16407, 16396, 24693, 16463, 16396, 16400, 16400, 16408, 16396, 16406, 16407, 16403, 16444, 16392, 16397, 16772, 27596, 16390, 23070, 58402, 46974, 16769, 45335, 16734, 21683, 16673, 17840, 17220, 16674, 21377, 35801, 16397, 20919, 18122, 20246, 16673, 42918, 30951, 16769, 17875, 16709, 24077, 16431, 16395, 17073, 54098, 19938, 16709, 18206, 18398, 17532, 16769, 19723, 21528, 35911, 16397, 17119, 16674, 18208, 16807, 17494, 16721, 24077, 16431, 16971, 21488, 16647, 52314, 16673, 25732, 36238, 16754, 50742, 16954, 16396, 16400, 16604, 16391, 16428, 23801, 16396, 16400, 16392, 16815, 18206, 63000, 17002, 32607, 18808, 16915, 16604, 16391, 16442, 16415, 16449, 16402, 16396, 24693, 16463, 16396, 16400, 16400, 16408, 16396, 16406, 16407, 16403, 16444, 16410, 16604, 16442, 16415, 16449, 16400, 16403, 16396, 24693, 16463, 16396, 16400, 16400, 16408, 16396, 16406, 16407, 16403, 16444, 16392, 16397, 44311, 36238, 16754, 50742, 16954, 16396, 16400, 16604, 16391, 16428, 23801, 16396, 16400, 16392, 21846, 16641, 18814, 16672, 24588, 62413, 17560, 18356, 16395, 33167, 16395, 30201, 16673, 36612, 16674, 51868, 19487, 16395, 16674, 63431, 16674, 17153, 26115, 16710, 17847, 63028, 16604, 16391, 16442, 16415, 16449, 16401, 16401, 16396, 24693, 16463, 16396, 16400, 16400, 16408, 16396, 16406, 16407, 16403, 16444, 16392, 16397, 16999, 17027, 16872, 24438, 16467, 35911, 19938, 16395, 22436, 38539, 55201, 17873, 16673, 60584, 16396, 19983, 17041, 17160, 40427, 35627, 16395, 30880, 16671, 60584, 60030, 17000, 16654, 17873, 16674, 25917, 36531, 16604, 16391, 16442, 16415, 16449, 16405, 16396, 24693, 16463, 16396, 16400, 16400, 16408, 16396, 16406, 16407, 16403, 16444, 16392, 16397, 17119, 19193, 21766, 16641, 20318, 31133, 16721, 18466, 16672, 24077, 16431, 16396, 31263, 16604, 16393, 16428, 23801, 16396, 16400, 16393, 29304, 16674, 52810, 29304, 16673, 16778, 18327, 16396, 21162, 16421, 16396, 24129, 16426, 16396, 41378, 34117, 21686, 16396, 16396, 38011, 43441, 16604, 16391, 17528, 16426, 16392, 32995, 16395, 27158, 16709, 33349, 16396, 16668, 17346, 17407, 16604, 16391, 16442, 16415, 16449, 16400, 16403, 16396, 24693, 16463, 16396, 16400, 16400, 16408, 16396, 16406, 16407, 16403, 16444, 16392, 16397, 19912, 16641, 19364, 17730, 22410, 16395, 16917, 17889, 21311, 16763, 16721, 16647, 18206, 16604, 16393, 16428, 23801, 16396, 16400, 16393, 51012, 17502, 16767, 18583, 31949, 16400, 16405, 16399, 16406, 16391, 16400, 16422, 16398, 16401, 16422, 16392, 16673, 16647, 16604, 16393, 16428, 23801, 16396, 16400, 16393, 42203, 46944, 16395, 17135, 24077, 16431, 23659, 16395, 18422, 16641, 31306, 52166, 16604, 16391, 16400, 16422, 16392, 16785, 18122, 16604, 16391, 16401, 16422, 16392, 19208, 16397, 16772, 16604, 16401, 16422, 51012, 17502, 16704, 17494, 16672, 16604, 16406, 16404, 16388, 16673, 23304, 16397, 16582, 16582, 32879, 16684, 16811, 21515, 16395, 16742, 25330, 16671, 21986, 20927, 21025, 45630, 16673, 16778, 18327, 16672, 18206, 18398, 17532, 16672, 19208, 16671, 24077, 16431, 16397, 16772, 19007, 31018, 22825, 16673, 24077, 16431, 16721, 63345, 16604, 16393, 16428, 23801, 16396, 16400, 16393, 16704, 24203, 35378, 16672, 17073, 25190, 24303, 16604, 16391, 56958, 16392, 16395, 17274, 16721, 24077, 16431, 23070, 58402, 21554, 27596, 42819, 17969, 16396, 17407, 16723, 37878, 16830, 16420, 16671, 16647, 16655, 39757, 30285, 29993, 16397, 16772, 24077, 16431, 16398, 56958, 25241, 63345, 22036, 16954, 16396, 47636, 32174, 16604, 16401, 16604, 16391, 34570, 16396, 16401, 16392, 16395, 16944, 16395, 19565, 16796, 16477, 16456, 16398, 16462, 16477, 16796, 16396, 57256, 16395, 27689, 60147, 16954, 16396, 16418, 28580, 16402, 16604, 16391, 16431, 21078, 28580, 16402, 16392, 16395, 16674, 27689, 16649, 16699, 18161, 16642, 23311, 16723, 16604, 16402, 43441, 16604, 16391, 31164, 16402, 16396, 16426, 16392, 16395, 63345, 23050, 16445, 16401, 16394, 16445, 16396, 16874, 17484, 16925, 25650, 56301, 16403, 16604, 16391, 21527, 17538, 32174, 19056, 20484, 16747, 17819, 16395, 17797, 19154, 16604, 16403, 16392, 29843, 25607, 16604, 16391, 16442, 16415, 16449, 16400, 16404, 16396, 24693, 16463, 16396, 16400, 16400, 16408, 16396, 16406, 16407, 16403, 16444, 16410, 16604, 16442, 16415, 16449, 16400, 16405, 16396, 24693, 16463, 16396, 16400, 16400, 16408, 16396, 16406, 16407, 16403, 16444, 16410, 16604, 16442, 16415, 16449, 16401, 16404, 16396, 24693, 16463, 16396, 16400, 16400, 16408, 16396, 16406, 16407, 16403, 16444, 16410, 16604, 16442, 16415, 16449, 16401, 16405, 16396, 24693, 16463, 16396, 16400, 16400, 16408, 16396, 16406, 16407, 16403, 16444, 16392, 16397, 16711, 41236, 28371, 40387, 23050, 16445, 16401, 16394, 16445, 48983, 17181, 25650, 56301, 16403, 21983, 16395, 16944, 16704, 20927, 16715, 19480, 21886, 16396, 47636, 22036, 43441, 16604, 16391, 44197, 16426, 16392, 16396, 16396, 42669, 16604, 16393, 16428, 23801, 16396, 16400, 16393, 29304, 16397, 25758, 17873, 19831, 17299, 16721, 41422, 16396, 16401, 16395, 53873, 28580, 16402, 16395, 16674, 25650, 56301, 16403, 17302, 20604, 17356, 16671, 16655, 34031, 16673, 18206, 53958, 60584, 32607, 18808, 16915, 16397, 24077, 16431, 23659, 26222, 46539, 22036, 16396, 16396, 57256, 19680, 24261, 17415, 17213, 32995, 31184, 16674, 18576, 18852, 28785, 16397, 32951, 20335, 16395, 16742, 21852, 16721, 25650, 56301, 16403, 16477, 16431, 16400, 16408, 16434, 16477, 16395, 16641, 18206, 25998, 51012, 17502, 21216, 21766, 16741, 16641, 63431, 51485, 54451, 16604, 16391, 16442, 16415, 16449, 16402, 16401, 16396, 24693, 16463, 16396, 16400, 16400, 16408, 16396, 16406, 16407, 16403, 16444, 16392, 16395, 23361, 16604, 16393, 16428, 23801, 16396, 16400, 16393, 29304, 19565, 19800, 23050, 16445, 16401, 16394, 16445, 48983, 16395, 20557, 16641, 20151, 18815, 18675, 17415, 18206, 60584, 32607, 18808, 16915, 32995, 16395, 60584, 20062, 16395, 16674, 18398, 29746, 16397, 16582, 16582, 65433, 16674, 33486, 16582, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16582, 16582, 22370, 16431, 16582, 16396, 16396, 16396, 16582, 16582, 22949, 19369, 16958, 23540, 16767, 16647, 16876, 16397, 16434, 16397, 27801, 27960, 25591, 16604, 16391, 61829, 16410, 20468, 57746, 19106, 16395, 25082, 16392, 16815, 16641, 17267, 32635, 17910, 16396, 63403, 35413, 19312, 16395, 19264, 16767, 17567, 21365, 19312, 32665, 17329, 20555, 16395, 16741, 20101, 21216, 16604, 16391, 16442, 16415, 16449, 16400, 16403, 16396, 24693, 16463, 16396, 16400, 16400, 16408, 16396, 16406, 16407, 16403, 16444, 16392, 16397, 17544, 25717, 16395, 16742, 17405, 24077, 16431, 16767, 16604, 16400, 16399, 16399, 50605, 16398, 38632, 16397, 24077, 16431, 25190, 24303, 16604, 16391, 56958, 16392, 16763, 21789, 16809, 34066, 25190, 30951, 17021, 16673, 24077, 16431, 17655, 37183, 17416, 49960, 16395, 20440, 16809, 43354, 22134, 16734, 21290, 24648, 34730, 39998, 16604, 16391, 16419, 21332, 16430, 16392, 16397, 16875, 25717, 16395, 16742, 17405, 16604, 16401, 16399, 50605, 16398, 38632, 16830, 16420, 16395, 16944, 16704, 24523, 16671, 16647, 25190, 28937, 25287, 16672, 16604, 16400, 16399, 16399, 50605, 24077, 16431, 16397, 17119, 17405, 60129, 18232, 16448, 18312, 22465, 16471, 16604, 16408, 16399, 23070, 26684, 18131, 36457, 16604, 16391, 16431, 16408, 16399, 16410, 19194, 16809, 16762, 16397, 21143, 32634, 16395, 16796, 40038, 16395, 41130, 16395, 21637, 16392, 16741, 24758, 16397, 16582, 16582, 41134, 40278, 16582, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16582, 16582, 17507, 17405, 16647, 18211, 28937, 16409, 31121, 18232, 16656, 64365, 16604, 16391, 16422, 16477, 16456, 16398, 16462, 16477, 40582, 16410, 48856, 35522, 18035, 16397, 16395, 16957, 16397, 22146, 16395, 25890, 16392, 16395, 16876, 16406, 16402, 16400, 16401, 16401, 16604, 16391, 16431, 21078, 40582, 16410, 16700, 17139, 18703, 16395, 39795, 19976, 16395, 25890, 16392, 16395, 16790, 16440, 16401, 16408, 16403, 16399, 16399, 16401, 16674, 41178, 16407, 16401, 16407, 16604, 16391, 31164, 16402, 16396, 16426, 41338, 16410, 16700, 17139, 18703, 16392, 16395, 16604, 16403, 19766, 16396, 17057, 16658, 19864, 16604, 16400, 16401, 16395, 16400, 16402, 16670, 16870, 36428, 16758, 16604, 16391, 16403, 19766, 16396, 22203, 16419, 16410, 25650, 56301, 16403, 18039, 17662, 16410, 16700, 17139, 18703, 16392, 16395, 16796, 36851, 16401, 16399, 16404, 16604, 16443, 16442, 22082, 56301, 16403, 19623, 16646, 16604, 16391, 16442, 16415, 16449, 16400, 16408, 16396, 24693, 16463, 16396, 16400, 16400, 16408, 16396, 16406, 16407, 16403, 16444, 16392, 16443, 16444, 16395, 61644, 17175, 17997, 18901, 16604, 16443, 16442, 22082, 16431, 16391, 16437, 16392, 19623, 16646, 16410, 16700, 17139, 18703, 16443, 16444, 16395, 39039, 39800, 17997, 16391, 27101, 16392, 49960, 16604, 16443, 16442, 16422, 16451, 18747, 16477, 16402, 16477, 16604, 16391, 33680, 16392, 16410, 40582, 16673, 20022, 16396, 19490, 16895, 35658, 21314, 16604, 16391, 16434, 20523, 16420, 16392, 16767, 16604, 16404, 58753, 16604, 16391, 16442, 16415, 16449, 16403, 16396, 24693, 16463, 16396, 16400, 16400, 16408, 16396, 16406, 16407, 16403, 16444, 16392, 16443, 16444, 16395, 16681, 18220, 50704, 17320, 16604, 16391, 33277, 16445, 16401, 16394, 16445, 16396, 26155, 55942, 16410, 16700, 17139, 18703, 16392, 16395, 29973, 16400, 16403, 16407, 16408, 16674, 17565, 16396, 22203, 16427, 20628, 16396, 43055, 29158, 16604, 16391, 21269, 16396, 16428, 23801, 41338, 16410, 23138, 21886, 16395, 21409, 19838, 16395, 27021, 16392, 16395, 16674, 16762, 16396, 16406, 16604, 16391, 18336, 18852, 28785, 19623, 16646, 16767, 16604, 16400, 16399, 58753, 16410, 48856, 16392, 16397, 16582, 16582, 29270, 19995, 16582, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16582, 16582, 28537, 18327, 16396, 16401, 16417, 19487, 16958, 21715, 16815, 22580, 19573, 16604, 16391, 31521, 19976, 16395, 25504, 16392, 16395, 26447, 16741, 21216, 20101, 16604, 16391, 16442, 16415, 16449, 16400, 16403, 16396, 24693, 16463, 16396, 16400, 16400, 16408, 16396, 16406, 16407, 16403, 16444, 16392, 16395, 16674, 17405, 16715, 36602, 16734, 24077, 16431, 16785, 16830, 16420, 16674, 16715, 16858, 23642, 16674, 17785, 56584, 31364, 16604, 16391, 26979, 27796, 16392, 17333, 22302, 25717, 16397, 33977, 18206, 63000, 17002, 49549, 16604, 16391, 16423, 28537, 16392, 19487, 16958, 17150, 17042, 17080, 17751, 16717, 17002, 19487, 26552, 16815, 21374, 16395, 31407, 16460, 20263, 22739, 26863, 16397, 17119, 21715, 27533, 18603, 19605, 24606, 16715, 16811, 18077, 16815, 16647, 27880, 23145, 16395, 16674, 27565, 35072, 19194, 24608, 26535, 16715, 17231, 16673, 16647, 19487, 16672, 18147, 16397, 34594, 20184, 16709, 18155, 19995, 16769, 18125, 16672, 49490, 16666, 29663, 16604, 16391, 38943, 16409, 16400, 16399, 16397, 16400, 16401, 16407, 16408, 16398, 24693, 16463, 16397, 16400, 16399, 16399, 16401, 16407, 16399, 16406, 16392, 16397, 16582, 16582, 16393, 16428, 23801, 16396, 16400, 16393, 29477, 23273, 46819, 16958, 22546, 16741, 20101, 21216, 16604, 16391, 16442, 16415, 16449, 16400, 16403, 16396, 24693, 16463, 16396, 16400, 16400, 16408, 16396, 16406, 16407, 16403, 16444, 16392, 16397, 16711, 17280, 16673, 16604, 16393, 16428, 23801, 16396, 16400, 16393, 59673, 16673, 17476, 38485, 16763, 18125, 16715, 17490, 18206, 51012, 22747, 16395, 31949, 16400, 16405, 16399, 16406, 16422, 16674, 31949, 16400, 16405, 16399, 16406, 33060, 16397, 16582, 16582, 26979, 27796, 16763, 17333, 39288, 17065, 27495, 18327, 16396, 16401, 16417, 19487, 18211, 21216, 19807, 20625, 16604, 16391, 16442, 16415, 16449, 16400, 16403, 16396, 24693, 16463, 16396, 16400, 16400, 16408, 16396, 16406, 16407, 16403, 16444, 16392, 16397, 21168, 27796, 16763, 23809, 17647, 41422, 16396, 16401, 16395, 41422, 16396, 16400, 16395, 33349, 16396, 16668, 17346, 17407, 16604, 16400, 16674, 16604, 16401, 16395, 16674, 25650, 56301, 16403, 16397, 59563, 54041, 24758, 16958, 17405, 16741, 19194, 16809, 16647, 28488, 16604, 16391, 16419, 39785, 26328, 16395, 55831, 16395, 23593, 16392, 16397, 21168, 27796, 24047, 16763, 22557, 16809, 35605, 27123, 16396, 21527, 19367, 16954, 64927, 22835, 22570, 16604, 16391, 41070, 16392, 16674, 21994, 45095, 17230, 16397, 16582, 16582, 22082, 56301, 16402, 16674, 25650, 56301, 16403, 29578, 16396, 40821, 16604, 16391, 53104, 16392, 52051, 34862, 16958, 23540, 16809, 23016, 17160, 16641, 56708, 16895, 17510, 16673, 17492, 22351, 16395, 16815, 16604, 16400, 16399, 34226, 16396, 32245, 16793, 16396, 48276, 16671, 16647, 25432, 17333, 24510, 51158, 24020, 16671, 16604, 16400, 16399, 34226, 16396, 16861, 18145, 16719, 16396, 48276, 16671, 16647, 28867, 17333, 24510, 51158, 24020, 16397, 16875, 18150, 16395, 17142, 17411, 35857, 16958, 23540, 16741, 16727, 16405, 16407, 16399, 16426, 16674, 16759, 16405, 16407, 16401, 16426, 16715, 25650, 56301, 16403, 16674, 16741, 16790, 16405, 16400, 16408, 16426, 16674, 16759, 16405, 16401, 16400 ]
[ 0, 38194, 16582, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16582, 16582, 16419, 18823, 16936, 25131, 16704, 23354, 16672, 51031, 20580, 25043, 16673, 24437, 16674, 30638, 16671, 23129, 17730, 16397, 28106, 16395, 16647, 16604, 16401, 16399, 16400, 16404, 35545, 16936, 43344, 34304, 21217, 17556, 21931, 16721, 20580, 24437, 16674, 38978, 31638, 16763, 16647, 17097, 30483, 16673, 37495, 24294, 16721, 16763, 27502, 21766, 16672, 16914, 17556, 16672, 17155, 25228, 19978, 18325, 17730, 25178, 16604, 16391, 16442, 16415, 16449, 16400, 16444, 16392, 16397, 21604, 16647, 17556, 17257, 16804, 20214, 18462, 20286, 16673, 24437, 16395, 16986, 16872, 16992, 16641, 20299, 18370, 16673, 19591, 16721, 16647, 55934, 16928, 30448, 25989, 16673, 16660, 22432, 24437, 17123, 44415, 17007, 16815, 16977, 32272, 16674, 17131, 22029, 16991, 16673, 16914, 62944, 20431, 16397, 39098, 32430, 16672, 36611, 20625, 16807, 22818, 16647, 40545, 16673, 20932, 49245, 24882, 16672, 16660, 22432, 24437, 16674, 29856, 16647, 17586, 16672, 18308, 16396, 17070, 22709, 16674, 30213, 39478, 37155, 16721, 16769, 22009, 16715, 55388, 19831, 16397, 26713, 16395, 16647, 18356, 16673, 16641, 19749, 21178, 18651, 16604, 16391, 28271, 16428, 16392, 16442, 16445, 16400, 16403, 16445, 16444, 16391, 16386, 28484, 16403, 16392, 16474, 18452, 16396, 18926, 16412, 16385, 28484, 16385, 16476, 16674, 32737, 17617, 52039, 16715, 17231, 16672, 21903, 26364, 16872, 19194, 16667, 17889, 16674, 25002, 22825, 16715, 16647, 17802, 16674, 19572, 16673, 17009, 42983, 21903, 26364, 16397, 17170, 18603, 16395, 21789, 16815, 16647, 30273, 16673, 16647, 48927, 26422, 19218, 20468, 23233, 18939, 16672, 33538, 16734, 16647, 41511, 19218, 38472, 49480, 16672, 32642, 16395, 27677, 16395, 16604, 16400, 16401, 16396, 16396, 16400, 16404, 19191, 16604, 16401, 16399, 16400, 16404, 16395, 26767, 20278, 16709, 32430, 16672, 16647, 18676, 17560, 16647, 17367, 16604, 16404, 16712, 16734, 19130, 16671, 16647, 26896, 44092, 20659, 16674, 50601, 21149, 48244, 17730, 16397, 16582, 16582, 16418, 19284, 40410, 16674, 16647, 45147, 56764, 20659, 16582, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16582, 16582, 16386, 16386, 16386, 47094, 27287, 16397, 16582, 16582, 39245, 16673, 16647, 19761, 21370, 16647, 19032, 16673, 56322, 40410, 16709, 16647, 26896, 44092, 20659, 16872, 16992, 23809, 16671, 19831, 16673, 16647, 17717, 16673, 56322, 26422, 44793, 16785, 31937, 16709, 61479, 20284, 42032, 16674, 50145, 34472, 29160, 16604, 16391, 20356, 19068, 16392, 16604, 16391, 16442, 16415, 16449, 16401, 16444, 16395, 16604, 16442, 16415, 16449, 16402, 16444, 16392, 16397, 18523, 16395, 16811, 18314, 16872, 26961, 16671, 59568, 16641, 30505, 18898, 16673, 16647, 56322, 26422, 16390, 16466, 58130, 16395, 18241, 16736, 50924, 16395, 16674, 54033, 23753, 21330, 17647, 16604, 16393, 24537, 16675, 17080, 22894, 62724, 24208, 16393, 16604, 16391, 16442, 16415, 16449, 16403, 16444, 16396, 16396, 16442, 16415, 16449, 16405, 16444, 16392, 16395, 16604, 16393, 17287, 16644, 16849, 50242, 16730, 21067, 16890, 16393, 16604, 16391, 16442, 16415, 16449, 16406, 16444, 16392, 16395, 16604, 16393, 16431, 25033, 16472, 16787, 16645, 16676, 45877, 18683, 16656, 16393, 16604, 16391, 16442, 16415, 16449, 16407, 16444, 16392, 16395, 16604, 16393, 17287, 16904, 22018, 16857, 17435, 16923, 16730, 63821, 16730, 16393, 16604, 16391, 16442, 16415, 16449, 16408, 16444, 16392, 16395, 16604, 16393, 16431, 28662, 32198, 16676, 26566, 28942, 23091, 16393, 16604, 16391, 16442, 16415, 16449, 16400, 16399, 16444, 16392, 16395, 16604, 16393, 62230, 50242, 16730, 37706, 17024, 16890, 16393, 16604, 16391, 16442, 16415, 16449, 16405, 16444, 16392, 16395, 16604, 16393, 33766, 16746, 46883, 16730, 45144, 16452, 16393, 16604, 16391, 16442, 16415, 16449, 16400, 16400, 16444, 16392, 16395, 16604, 16393, 16418, 16770, 19250, 57567, 42353, 16393, 16604, 16391, 16442, 16415, 16449, 16400, 16401, 16444, 16395, 16604, 16442, 16415, 16449, 16400, 16402, 16444, 16392, 16395, 16674, 19544, 48124, 19007, 31018, 16604, 16393, 16420, 45131, 16863, 16915, 44599, 16393, 16604, 16391, 18069, 16431, 19234, 16392, 16604, 16391, 16442, 16415, 16449, 16400, 16403, 16444, 16392, 16397, 48927, 26422, 43400, 16395, 20278, 16647, 16764, 25463, 58668, 16699, 17407, 16395, 28576, 16645, 24882, 16395, 16674, 22960, 21107, 16450, 19983, 32466, 32245, 16395, 17123, 17114, 17647, 17213, 50401, 16809, 31022, 36011, 52354, 16674, 17055, 16750, 32672, 16395, 36709, 25069, 34922, 24261, 16674, 16398, 16658, 25428, 33167, 18661, 17032, 19565, 16660, 22894, 16675, 28321, 19962, 16397, 17170, 28704, 18370, 16673, 18147, 19497, 16672, 36523, 16395, 16794, 37154, 16395, 16674, 22270, 19831, 16721, 16807, 22738, 19056, 21903, 19938, 16674, 16807, 20683, 16671, 55403, 16758, 27287, 16673, 18865, 16741, 17204, 16741, 18206, 19831, 16721, 16807, 19628, 18567, 16456, 33928, 19938, 16604, 16391, 16442, 16415, 16449, 16402, 16444, 16396, 16396, 16442, 16415, 16449, 16404, 16444, 16395, 16604, 16442, 16415, 16449, 16400, 16403, 16444, 16392, 16397, 16582, 16582, 16853, 58130, 21454, 16673, 56322, 26422, 16764, 25463, 58668, 16699, 17407, 16807, 16992, 20698, 19970, 16734, 16914, 20157, 16673, 30641, 17873, 16604, 16391, 24841, 16392, 16674, 21844, 16673, 16711, 16396, 16671, 16738, 16396, 18926, 18675, 17553, 16397, 17544, 18185, 16395, 16809, 17655, 16667, 16672, 36523, 59220, 20338, 16451, 16724, 17397, 34803, 16715, 19134, 38455, 16673, 18295, 40971, 20969, 16395, 19165, 16673, 28031, 16734, 56322, 26422, 50598, 16673, 31993, 25989, 20332, 16721, 56322, 26422, 16764, 25463, 58668, 55717, 50598, 16734, 16641, 21036, 45784, 16958, 17494, 16671, 16703, 16922, 20176, 17032, 17310, 16734, 16641, 21677, 45784, 16767, 64363, 16647, 19134, 16673, 16604, 16393, 16418, 16770, 19250, 16393, 16648, 16780, 16397, 16604, 16391, 16442, 16415, 16449, 16400, 16401, 16444, 16392, 16397, 16875, 30163, 24203, 16711, 16396, 18926, 16764, 25463, 58668, 16699, 17407, 16815, 56322, 40410, 16734, 24203, 16738, 16396, 18926, 16764, 25463, 58668, 16699, 17407, 16815, 41726, 16395, 30614, 22503, 16462, 17605, 16813, 16397, 16604, 16391, 16442, 16415, 16449, 16400, 16404, 16444, 16392, 17494, 16721, 16395, 20290, 17490, 19800, 16981, 21023, 16698, 18057, 16674, 21999, 49549, 18155, 31300, 16809, 17812, 16431, 19234, 16395, 16647, 33747, 19938, 16958, 19970, 16734, 16641, 18846, 24101, 16673, 16711, 16396, 18926, 18675, 17553, 16397, 17170, 28536, 16704, 23354, 16734, 16977, 18147, 16721, 20332, 16721, 16711, 16396, 18926, 16764, 25463, 58668, 16699, 17407, 25566, 17154, 24906, 16734, 36011, 30315, 43303, 20671, 16674, 16922, 23654, 25909, 36011, 18614, 17269, 16604, 16391, 16442, 16415, 16449, 16400, 16405, 16444, 16395, 16604, 16442, 16415, 16449, 16400, 16406, 16444, 16392, 16397, 16582, 16582, 16386, 16386, 16386, 56764, 20659, 25069, 34922, 16397, 16582, 16582, 16853, 28354, 16673, 25069, 34922, 24261, 16395, 16667, 18334, 18586, 16672, 16647, 18356, 16673, 24493, 16395, 17181, 33384, 16672, 16647, 17055, 16750, 32672, 16673, 28336, 16704, 16641, 17204, 16396, 26341, 16665, 58130, 25013, 16673, 56322, 26422, 16764, 25463, 58668, 16699, 17407, 16397, 16772, 37079, 52933, 18161, 16895, 20189, 16673, 16764, 25463, 58668, 16699, 17407, 34190, 17361, 16460, 29495, 31055, 44052, 16395, 22764, 21677, 31184, 16671, 36569, 16674, 25566, 16734, 39043, 16709, 18155, 30877, 16397, 23121, 16395, 17259, 19831, 16673, 17362, 16396, 16460, 29495, 16396, 24056, 59942, 17002, 16472, 16473, 16925, 18651, 16815, 56322, 26422, 31937, 36144, 26132, 38258, 20381, 16705, 17786, 16679, 19962, 16734, 48953, 20969, 16395, 17789, 17310, 17494, 16672, 16647, 27835, 40817, 16395, 28025, 16395, 17785, 59718, 16395, 16674, 24222, 16604, 16391, 16442, 16415, 16449, 16405, 16444, 16395, 16604, 16442, 16415, 16449, 16400, 16400, 16444, 16395, 16604, 16442, 16415, 16449, 16400, 16403, 16444, 16395, 16604, 16442, 16415, 16449, 16400, 16407, 16444, 16395, 16604, 16442, 16415, 16449, 16400, 16408, 16444, 16392, 16397, 18523, 16395, 20290, 49430, 56322, 26422, 16764, 25463, 58668, 16699, 17407, 16769, 16922, 20176, 16672, 16991, 58130, 46819, 17032, 16769, 32958, 16785, 23590, 44793, 16395, 18295, 19831, 18510, 16721, 16977, 28937, 16672, 56322, 26422, 25450, 24246, 31848, 21454, 16721, 19958, 16785, 16672, 22332, 16734, 16764, 25463, 58668, 16699, 17407, 17123, 24187, 20562, 21747, 17647, 24493, 16397, 17544, 18185, 16395, 36003, 16473, 20577, 16396, 18388, 26774, 17605, 16813, 16397, 16604, 16391, 16442, 16415, 16449, 16401, 16399, 16444, 16392, 24810, 16604, 16393, 16420, 16397, 44599, 16393, 16671, 56322, 26422, 31937, 42938, 16604, 16391, 16418, 46976, 16392, 16785, 56322, 26422, 16764, 25463, 58668, 16699, 17407, 17030, 16604, 16403, 16407, 16678, 16674, 17494, 16721, 16647, 16764, 25463, 58668, 16699, 17407, 21999, 25743, 16647, 16719, 46976, 19765, 35052, 25069, 34922, 24261, 16397, 57184, 16719, 46976, 43400, 17123, 18379, 17975, 49245, 20673, 28937, 17274, 16741, 16704, 16754, 16826, 29302, 16945, 16604, 18061, 20673, 22363, 16674, 18509, 16472, 19033, 58663, 16890, 16395, 28215, 16880, 16683, 16748, 17040, 39589, 16786, 16861, 20166, 18302, 17494, 16672, 17362, 16396, 16460, 29495, 16396, 24056, 59942, 17002, 16472, 16473, 16925, 50598, 16604, 16391, 16442, 16415, 16449, 16401, 16400, 16444, 16392, 16397, 21875, 16717, 16458, 17110, 17605, 16813, 16397, 16604, 16391, 16442, 16415, 16449, 16401, 16401, 16444, 16392, 17494, 16721, 63167, 16642, 32917, 19033, 58663, 16890, 27894, 16815, 16664, 16892, 16642, 16954, 16396, 36532, 56322, 26422, 46711, 16466, 33883, 16647, 52354, 16673, 16604, 16393, 16420, 16397, 44599, 16393, 33597, 16671, 42824, 16674, 17302, 23796, 49549, 19487, 16672, 36523, 16397, 16582, 16582, 16417, 31848, 52354, 16671, 19487, 16674, 16977, 30877, 25290, 20873, 19902, 21442, 17274, 16741, 24340, 22844, 16674, 28987, 16675, 26459, 16395, 20484, 17684, 34353, 17229, 21442, 16395, 16674, 20293, 20705, 16395, 16741, 17204, 16741, 17490, 18462, 16674, 31407, 16801, 23189, 26459, 16673, 20293, 26513, 16674, 55952, 17274, 16741, 30628, 16890, 16395, 35692, 17407, 16395, 16674, 24974, 16396, 27044, 25127, 17407, 16604, 16391, 16442, 16415, 16449, 16401, 16402, 16444, 16396, 16396, 16442, 16415, 16449, 16401, 16404, 16444, 16392, 16397, 25453, 37700, 19835, 45266, 16395, 41657, 17605, 16813, 16397, 16604, 16391, 16442, 16415, 16449, 16401, 16405, 16444, 16392, 17494, 16721, 23659, 16671, 56322, 26422, 31937, 27364, 16647, 52354, 21442, 16673, 16739, 16396, 16453, 20912, 16755, 16895, 16604, 16393, 16420, 16397, 44599, 16393, 16604, 16391, 44617, 16400, 16399, 16400, 16463, 27197, 16400, 16392, 16674, 33759, 16647, 16752, 17463, 16674, 20570, 16673, 16647, 16739, 16396, 16453, 20912, 16755, 20056, 16397, 36003, 16473, 20577, 16396, 18388, 26774, 17605, 16813, 16397, 16604, 16391, 16442, 16415, 16449, 16401, 16403, 16444, 16392, 17494, 16721, 17213, 16662, 20912, 20428, 19029, 16958, 65215, 16395, 17199, 16715, 28031, 23475, 16672, 16647, 21057, 16673, 56322, 26422, 31937, 16397, 16774, 16790, 16459, 20280, 17605, 16813, 16397, 16604, 16391, 16442, 16415, 16449, 16401, 16406, 16444, 16392, 20332, 16647, 34792, 16673, 17302, 23796, 58928, 16673, 56322, 26422, 20932, 49245, 24882, 16395, 17789, 52933, 18161, 16895, 22434, 24567, 16675, 16674, 22833, 18161, 16861, 19923, 32245, 16395, 16672, 64363, 16647, 52354, 16674, 25069, 34922, 24261, 16673, 61479, 20284, 31018, 16604, 16393, 16420, 16397, 44599, 16393, 16671, 42824, 49549, 19487, 16395, 16641, 24511, 16721, 52705, 18896, 16647, 20927, 17109, 16671, 55403, 16758, 16647, 18814, 16673, 16647, 26896, 44092, 20659, 16672, 41261, 56322, 26422, 20932, 49245, 24882, 16671, 25069, 21126, 16674, 25069, 34469, 28937, 16397, 16582, 16582, 16386, 16386, 16386, 45147, 44092, 20659, 36481, 16674, 17917, 16397, 16582, 16582, 16853, 26896, 44092, 20659, 16704, 17178, 27694, 16741, 16641, 20927, 21348, 16672, 31267, 16674, 17730, 16395, 47278, 16647, 25069, 63137, 16674, 36481, 16673, 18308, 22539, 16674, 30313, 18370, 19258, 16395, 17789, 20483, 16674, 26709, 22072, 16397, 16772, 28523, 16673, 16647, 26896, 46044, 63044, 30564, 16704, 22009, 16715, 27187, 16641, 22635, 16674, 19902, 30564, 17647, 18308, 16395, 21958, 51211, 17000, 16395, 16674, 62963, 16604, 16391, 16442, 16415, 16449, 16401, 16407, 16444, 16395, 16604, 16442, 16415, 16449, 16401, 16408, 16444, 16392, 16397, 59436, 17901, 19487, 53160, 16903, 16647, 20623, 16456, 17135, 17476, 46207, 16815, 25673, 27100, 19487, 16674, 17762, 17030, 16734, 16647, 49549, 22450, 17155, 16604, 16402, 16396, 16396, 16404, 16670, 16397, 59436, 17901, 19487, 16783, 23897, 46044, 17407, 16395, 20278, 46044, 16642, 16604, 16401, 16604, 16391, 16428, 17495, 16396, 16401, 16392, 16395, 16721, 24448, 30169, 16671, 16647, 24316, 16673, 46044, 63044, 28523, 16604, 16391, 16442, 16415, 16449, 16402, 16399, 16444, 16392, 16397, 16727, 17495, 16642, 52314, 16704, 33910, 16809, 16641, 19680, 19278, 16673, 57524, 21722, 28333, 36602, 16674, 16700, 16396, 43998, 16604, 16401, 16604, 16391, 17278, 16401, 16392, 55157, 27021, 16396, 16403, 16674, 27021, 16396, 16400, 16402, 16604, 16391, 16442, 16415, 16449, 16402, 16400, 16444, 16396, 16396, 16442, 16415, 16449, 16402, 16404, 16444, 16392, 16397, 16582, 16582, 16419, 17129, 18570, 16673, 16647, 26896, 30564, 16674, 28552, 16449, 54953, 16807, 16992, 19970, 16734, 23850, 21994, 44129, 17362, 16672, 43925, 20728, 16674, 18229, 16672, 28598, 16674, 55934, 16928, 30448, 16466, 16395, 24294, 16721, 17123, 17474, 16671, 19800, 62102, 16673, 36011, 62183, 16674, 16641, 54624, 16396, 41792, 27732, 20610, 16721, 28356, 17099, 48191, 26709, 24739, 16672, 53318, 16395, 65293, 19952, 16395, 52263, 19487, 16395, 16674, 49238, 34784, 16397, 62183, 21846, 16641, 18814, 16672, 29243, 24493, 16396, 21670, 36612, 24739, 16674, 16704, 17494, 16672, 19546, 16674, 32113, 16734, 17490, 17498, 17336, 16770, 17002, 16674, 25917, 33167, 16604, 16391, 16442, 16415, 16449, 16402, 16405, 16444, 16396, 16396, 16442, 16415, 16449, 16402, 16408, 16444, 16392, 16397 ]
[ 0, 16400, 16397, 35453, 16604, 16474, 16386, 19810, 16400, 16396, 17100, 26580, 56094, 16396, 16400, 16399, 16396, 16399, 16399, 16400, 16400, 16403, 16476, 16582, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16582, 16582, 29002, 16472, 18521, 16396, 16396, 26771, 26459, 18288, 20853, 16715, 17968, 16671, 17103, 60279, 21772, 18237, 21675, 16715, 18356, 16604, 16443, 16442, 16442, 16415, 16417, 16400, 16396, 17100, 26580, 56094, 16396, 16400, 16399, 16396, 16399, 16399, 16400, 16400, 16403, 16444, 16395, 16442, 16415, 16417, 16401, 16396, 17100, 26580, 56094, 16396, 16400, 16399, 16396, 16399, 16399, 16400, 16400, 16403, 16444, 16395, 16442, 16415, 16417, 16402, 16396, 17100, 26580, 56094, 16396, 16400, 16399, 16396, 16399, 16399, 16400, 16400, 16403, 16444, 16395, 16442, 16415, 16417, 16403, 16396, 17100, 26580, 56094, 16396, 16400, 16399, 16396, 16399, 16399, 16400, 16400, 16403, 16444, 16395, 16442, 16415, 16417, 16404, 16396, 17100, 26580, 56094, 16396, 16400, 16399, 16396, 16399, 16399, 16400, 16400, 16403, 16444, 16395, 16442, 16415, 16417, 16405, 16396, 17100, 26580, 56094, 16396, 16400, 16399, 16396, 16399, 16399, 16400, 16400, 16403, 16444, 16443, 16444, 16397, 18708, 41063, 42265, 32576, 16769, 26164, 29952, 16834, 28817, 16809, 59061, 24294, 16673, 23000, 27366, 26697, 16809, 17490, 16647, 18521, 16674, 16647, 17486, 16604, 16443, 16442, 16442, 16415, 16417, 16400, 16396, 17100, 26580, 56094, 16396, 16400, 16399, 16396, 16399, 16399, 16400, 16400, 16403, 16444, 16395, 16442, 16415, 16417, 16401, 16396, 17100, 26580, 56094, 16396, 16400, 16399, 16396, 16399, 16399, 16400, 16400, 16403, 16444, 16395, 16442, 16415, 16417, 16402, 16396, 17100, 26580, 56094, 16396, 16400, 16399, 16396, 16399, 16399, 16400, 16400, 16403, 16444, 16395, 16442, 16415, 16417, 16403, 16396, 17100, 26580, 56094, 16396, 16400, 16399, 16396, 16399, 16399, 16400, 16400, 16403, 16444, 16395, 16442, 16415, 16417, 16405, 16396, 17100, 26580, 56094, 16396, 16400, 16399, 16396, 16399, 16399, 16400, 16400, 16403, 16444, 16395, 16442, 16415, 16417, 16406, 16396, 17100, 26580, 56094, 16396, 16400, 16399, 16396, 16399, 16399, 16400, 16400, 16403, 16444, 16395, 16442, 16415, 16417, 16407, 16396, 17100, 26580, 56094, 16396, 16400, 16399, 16396, 16399, 16399, 16400, 16400, 16403, 16444, 16443, 16444, 16674, 16769, 28817, 16809, 28339, 16604, 16443, 16442, 16442, 16415, 16417, 16408, 16396, 17100, 26580, 56094, 16396, 16400, 16399, 16396, 16399, 16399, 16400, 16400, 16403, 16444, 16443, 16444, 16674, 26987, 16674, 20671, 16604, 16443, 16442, 16442, 16415, 16417, 16400, 16399, 16396, 17100, 26580, 56094, 16396, 16400, 16399, 16396, 16399, 16399, 16400, 16400, 16403, 16444, 16395, 16442, 16415, 16417, 16400, 16400, 16396, 17100, 26580, 56094, 16396, 16400, 16399, 16396, 16399, 16399, 16400, 16400, 16403, 16444, 16443, 16444, 16397, 16772, 18950, 16673, 18521, 16396, 16396, 26771, 26459, 50174, 16659, 16709, 41063, 42265, 20413, 16390, 23000, 27793, 16671, 17492, 16977, 16604, 16443, 16442, 16442, 16415, 16417, 16400, 16401, 16396, 17100, 26580, 56094, 16396, 16400, 16399, 16396, 16399, 16399, 16400, 16400, 16403, 16444, 16443, 16444, 16410, 16721, 16704, 16395, 16914, 23000, 21864, 17552, 16674, 19629, 16671, 44160, 41884, 16674, 20023, 16671, 17492, 16977, 16390, 16466, 18467, 16604, 16443, 16442, 16442, 16415, 16417, 16400, 16401, 16396, 17100, 26580, 56094, 16396, 16400, 16399, 16396, 16399, 16399, 16400, 16400, 16403, 16444, 16395, 16442, 16415, 16417, 16400, 16402, 16396, 17100, 26580, 56094, 16396, 16400, 16399, 16396, 16399, 16399, 16400, 16400, 16403, 16444, 16395, 16442, 16415, 16417, 16400, 16403, 16396, 17100, 26580, 56094, 16396, 16400, 16399, 16396, 16399, 16399, 16400, 16400, 16403, 16444, 16443, 16444, 16397, 18196, 29054, 16815, 17490, 16647, 40067, 16674, 17486, 22797, 16673, 16647, 18774, 16395, 33533, 18125, 41063, 20662, 16769, 17607, 17914, 16671, 26727, 42137, 16758, 17492, 18208, 16390, 42564, 16396, 16746, 37011, 48283, 16672, 16641, 16752, 64163, 16682, 22305, 16604, 16443, 16442, 16442, 16415, 16417, 16400, 16404, 16396, 17100, 26580, 56094, 16396, 16400, 16399, 16396, 16399, 16399, 16400, 16400, 16403, 16444, 16395, 16442, 16415, 16417, 16400, 16405, 16396, 17100, 26580, 56094, 16396, 16400, 16399, 16396, 16399, 16399, 16400, 16400, 16403, 16444, 16395, 16442, 16415, 16417, 16400, 16406, 16396, 17100, 26580, 56094, 16396, 16400, 16399, 16396, 16399, 16399, 16400, 16400, 16403, 16444, 16443, 16444, 16397, 16582, 16582, 28061, 16704, 16667, 22009, 19962, 16721, 28356, 17099, 18521, 16396, 16396, 26771, 26459, 16395, 18839, 18493, 47161, 16396, 19815, 17968, 16929, 16769, 20227, 16671, 22271, 16914, 17009, 26025, 42730, 16674, 22321, 47079, 16604, 16443, 16442, 16442, 16415, 16417, 16400, 16407, 16396, 17100, 26580, 56094, 16396, 16400, 16399, 16396, 16399, 16399, 16400, 16400, 16403, 16444, 16443, 16444, 16397, 16727, 32474, 16674, 63035, 26459, 30547, 16672, 19223, 16721, 16843, 16703, 21852, 16672, 17274, 17156, 23910, 16397, 24591, 16647, 27274, 16673, 23000, 27793, 16395, 35588, 23474, 16674, 26032, 16604, 16443, 16442, 16442, 16415, 16417, 16400, 16408, 16396, 17100, 26580, 56094, 16396, 16400, 16399, 16396, 16399, 16399, 16400, 16400, 16403, 16444, 16443, 16444, 20332, 16721, 30472, 24708, 16672, 16922, 25628, 26459, 19739, 16671, 37197, 16396, 16396, 16396, 16657, 28536, 16721, 16763, 17498, 21111, 16671, 16703, 24613, 16809, 39601, 33708, 16940, 16672, 17534, 28546, 22072, 16604, 16443, 16442, 16442, 16415, 16417, 16400, 16405, 16396, 17100, 26580, 56094, 16396, 16400, 16399, 16396, 16399, 16399, 16400, 16400, 16403, 16444, 16395, 16442, 16415, 16417, 16401, 16399, 16396, 17100, 26580, 56094, 16396, 16400, 16399, 16396, 16399, 16399, 16400, 16400, 16403, 16444, 16443, 16444, 16397, 29534, 16666, 23324, 22383, 16807, 17027, 29059, 16672, 16647, 18735, 17264, 24020, 17560, 17156, 16397, 17544, 20845, 16395, 17437, 30472, 20903, 16671, 18160, 20580, 49506, 52834, 16674, 17132, 31893, 23575, 16395, 37197, 28379, 16922, 19863, 19902, 17156, 16674, 20903, 16671, 24708, 16734, 16914, 17486, 16945, 18702, 16396, 25447, 16604, 16443, 16442, 16442, 16415, 16417, 16400, 16403, 16396, 17100, 26580, 56094, 16396, 16400, 16399, 16396, 16399, 16399, 16400, 16400, 16403, 16444, 16395, 16442, 16415, 16417, 16401, 16400, 16396, 17100, 26580, 56094, 16396, 16400, 16399, 16396, 16399, 16399, 16400, 16400, 16403, 16444, 16395, 16442, 16415, 16417, 16401, 16401, 16396, 17100, 26580, 56094, 16396, 16400, 16399, 16396, 16399, 16399, 16400, 16400, 16403, 16444, 16443, 16444, 16397, 21604, 37197, 18306, 19853, 42771, 16647, 16604, 16385, 18396, 26705, 16385, 18814, 16672, 17486, 16396, 16644, 18191, 16395, 19409, 16396, 16396, 26771, 17156, 16872, 16992, 19628, 16671, 16703, 22009, 16715, 18356, 16395, 17961, 16992, 21216, 19970, 16734, 17968, 16390, 16466, 35630, 19307, 16604, 16443, 16442, 16442, 16415, 16417, 16401, 16402, 16396, 17100, 26580, 56094, 16396, 16400, 16399, 16396, 16399, 16399, 16400, 16400, 16403, 16444, 16395, 16442, 16415, 16417, 16401, 16403, 16396, 17100, 26580, 56094, 16396, 16400, 16399, 16396, 16399, 16399, 16400, 16400, 16403, 16444, 16443, 16444, 16395, 42564, 16396, 16450, 45296, 18356, 16674, 23000, 26080, 16604, 16443, 16442, 16442, 16415, 16417, 16401, 16404, 16396, 17100, 26580, 56094, 16396, 16400, 16399, 16396, 16399, 16399, 16400, 16400, 16403, 16444, 16395, 16442, 16415, 16417, 16401, 16405, 16396, 17100, 26580, 56094, 16396, 16400, 16399, 16396, 16399, 16399, 16400, 16400, 16403, 16444, 16443, 16444, 16397, 16582, 16582, 29538, 16390, 16466, 35630, 28641, 16769, 28817, 16809, 16647, 17092, 18774, 16917, 16872, 16734, 16914, 19326, 16741, 16667, 30392, 16395, 16944, 18613, 31907, 26230, 17534, 28546, 50582, 16721, 16917, 17123, 28994, 16672, 16647, 18368, 16397, 27733, 16709, 35630, 21193, 16395, 18334, 21675, 16673, 35630, 16741, 16667, 30392, 19522, 23659, 16671, 18237, 22144, 16721, 17261, 17510, 16647, 22207, 18055, 18528, 16673, 35630, 16395, 16944, 16704, 17405, 16741, 16641, 21178, 16715, 18368, 18237, 22144, 16604, 16443, 16442, 16442, 16415, 16417, 16401, 16406, 16396, 17100, 26580, 56094, 16396, 16400, 16399, 16396, 16399, 16399, 16400, 16400, 16403, 16444, 16443, 16444, 16397, 16875, 16811, 17210, 16395, 18334, 21675, 16673, 18237, 22144, 16734, 16641, 18521, 16961, 22005, 18368, 22144, 16410, 16672, 18343, 16395, 22144, 17187, 16917, 21083, 16647, 58537, 16397, 17008, 22739, 16390, 16466, 40067, 35630, 16872, 16992, 42075, 16673, 26230, 38790, 50582, 16604, 16443, 16442, 16442, 16415, 16417, 16401, 16407, 16396, 17100, 26580, 56094, 16396, 16400, 16399, 16396, 16399, 16399, 16400, 16400, 16403, 16444, 16395, 16442, 16415, 16417, 16401, 16408, 16396, 17100, 26580, 56094, 16396, 16400, 16399, 16396, 16399, 16399, 16400, 16400, 16403, 16444, 16443, 16444, 16397, 29534, 16666, 35630, 16395, 16741, 28152, 16809, 16647, 37185, 21388, 26363, 33472, 16395, 16769, 30103, 17065, 25156, 16802, 16395, 17036, 51078, 16674, 38710, 16604, 16443, 16442, 16442, 16415, 16417, 16402, 16399, 16396, 17100, 26580, 56094, 16396, 16400, 16399, 16396, 16399, 16399, 16400, 16400, 16403, 16444, 16395, 16442, 16415, 16417, 16402, 16400, 16396, 17100, 26580, 56094, 16396, 16400, 16399, 16396, 16399, 16399, 16400, 16400, 16403, 16444, 16443, 16444, 16397, 18483, 16390, 16466, 22739, 35630, 17177, 36423, 16671, 26230, 18521, 16396, 27018, 16795, 35630, 16395, 16741, 29998, 16809, 16647, 23585, 19580, 23914, 16395, 17187, 30472, 16734, 38710, 22739, 35630, 16769, 16922, 18715, 16671, 16807, 38708, 16734, 22984, 56299, 16674, 30472, 16734, 17036, 51078, 22739, 35630, 16769, 16922, 18715, 16671, 16807, 38708, 16734, 37116, 56299, 16604, 16443, 16442, 16442, 16415, 16417, 16402, 16400, 16396, 17100, 26580, 56094, 16396, 16400, 16399, 16396, 16399, 16399, 16400, 16400, 16403, 16444, 16443, 16444, 16397, 29534, 16666, 35630, 16395, 16672, 16811, 17210, 16395, 16961, 21449, 18368, 38790, 22202, 16721, 17123, 16703, 26757, 16809, 40067, 44052, 18496, 16397, 16582, 16582, 16853, 46738, 23824, 24414, 16647, 18058, 16721, 40067, 16445, 16454, 16445, 44052, 18496, 16604, 16391, 21898, 16666, 16445, 16454, 16445, 45383, 16647, 17361, 23010, 17194, 21449, 16673, 18074, 40067, 44052, 18496, 16709, 19326, 16390, 17788, 17534, 28546, 50582, 16392, 16395, 16944, 16704, 29054, 16815, 16647, 40067, 17534, 16674, 17030, 41911, 16839, 16721, 16647, 18521, 19151, 16741, 16641, 17486, 16395, 21449, 18521, 16396, 16396, 26771, 26459, 16672, 16647, 26230, 21661, 16604, 16443, 16442, 16442, 16415, 16417, 16402, 16401, 16396, 17100, 26580, 56094, 16396, 16400, 16399, 16396, 16399, 16399, 16400, 16400, 16403, 16444, 16395, 16442, 16415, 16417, 16402, 16402, 16396, 17100, 26580, 56094, 16396, 16400, 16399, 16396, 16399, 16399, 16400, 16400, 16403, 16444, 16395, 16442, 16415, 16417, 16402, 16403, 16396, 17100, 26580, 56094, 16396, 16400, 16399, 16396, 16399, 16399, 16400, 16400, 16403, 16444, 16443, 16444, 16397, 20619, 23010, 17194, 25258, 16673, 38790, 25231, 17014, 38790, 22202, 16395, 50582, 16674, 33267, 16673, 16917, 21661, 16769, 18422, 20206, 16785, 41018, 28817, 16809, 16647, 18722, 21661, 16604, 16443, 16442, 16442, 16415, 16417, 16402, 16404, 16396, 17100, 26580, 56094, 16396, 16400, 16399, 16396, 16399, 16399, 16400, 16400, 16403, 16444, 16443, 16444, 16397, 22279, 39919, 19831, 30900, 38790, 50582, 18325, 27216, 16807, 22130, 23354, 25969, 17186, 16672, 38790, 16815, 16917, 21661, 16671, 16647, 17718, 16604, 16443, 16442, 16442, 16415, 16417, 16402, 16405, 16396, 17100, 26580, 56094, 16396, 16400, 16399, 16396, 16399, 16399, 16400, 16400, 16403, 16444, 16443, 16444, 16397, 26274, 33940, 32345, 16395, 17361, 23010, 17194, 25258, 16673, 19508, 16674, 20809, 38790, 16872, 16992, 21852, 16672, 19001, 18237, 16674, 19799, 40262, 16604, 16443, 16442, 16442, 16415, 16417, 16402, 16406, 16396, 17100, 26580, 56094, 16396, 16400, 16399, 16396, 16399, 16399, 16400, 16400, 16403, 16444, 16395, 16442, 16415, 16417, 16402, 16407, 16396, 17100, 26580, 56094, 16396, 16400, 16399, 16396, 16399, 16399, 16400, 16400, 16403, 16444, 16395, 16442, 16415, 16417, 16402, 16408, 16396, 17100, 26580, 56094, 16396, 16400, 16399, 16396, 16399, 16399, 16400, 16400, 16403, 16444, 16395, 16442, 16415, 16417, 16403, 16399, 16396, 17100, 26580, 56094, 16396, 16400, 16399, 16396, 16399, 16399, 16400, 16400, 16403, 16444, 16395, 16442, 16415, 16417, 16403, 16400, 16396, 17100, 26580, 56094, 16396, 16400, 16399, 16396, 16399, 16399, 16400, 16400, 16403, 16444, 16395, 16442, 16415, 16417, 16403, 16401, 16396, 17100, 26580, 56094, 16396, 16400, 16399, 16396, 16399, 16399, 16400, 16400, 16403, 16444, 16443, 16444, 16397, 26367, 16395, 17242, 65217, 40067, 44052, 16672, 16641, 18521, 16445, 16454, 16445, 16396, 16396, 26771, 18774, 16872, 16992, 17209, 17292, 16671, 16703, 17361, 23010, 29116, 33288, 17181, 17827, 33533, 18125, 18521, 16396, 16396, 26771, 26459, 16672, 16647, 26230, 21661, 16395, 17187, 49885, 16697, 24937, 30472, 28994, 17827, 39601, 29214, 17014, 40192, 16734, 16914, 17304, 17968, 16604, 16443, 16442, 16442, 16415, 16417, 16403, 16402, 16396, 17100, 26580, 56094, 16396, 16400, 16399, 16396, 16399, 16399, 16400, 16400, 16403, 16444, 16443, 16444, 16395, 17437, 16914, 17968, 20903, 16671, 20064, 17827, 18684, 22607, 19863, 17007, 16604, 16443, 16442, 16442, 16415, 16417, 16403, 16403, 16396, 17100, 26580, 56094, 16396, 16400, 16399, 16396, 16399, 16399, 16400, 16400, 16403, 16444, 16443, 16444, 16397, 29534, 16666, 35630, 16872, 17027, 16992, 19628, 16671, 16703, 28817, 16809, 38790, 20962, 16395, 17187, 30472, 16929, 29672, 16641, 19251, 16396, 29606, 16691, 18191, 16815, 16914, 19326, 16958, 16922, 18715, 16671, 18019, 20580, 38790, 20962, 17014, 16873, 18222, 19326, 16741, 19739, 16671, 30472, 16929, 29672, 18846, 16396, 29606, 16691, 18191, 16815, 16914, 19326, 16604, 16443, 16442, 16442, 16415, 16417, 16403, 16404, 16396, 17100, 26580, 56094, 16396, 16400, 16399, 16396, 16399, 16399, 16400, 16400, 16403, 16444, 16443, 16444, 16397, 16582, 16582, 39383, 20671, 16721, 43849, 16672, 16647, 18074, 16395, 17788, 38790, 20962, 37987, 28189, 19326, 16390, 26459, 16734, 16914, 17968, 17441, 16397, 65062, 20962, 29675, 16641, 17731, 16672, 16944, 38790 ]
[ 0, 16853, 24985, 29139, 16582, 16582, 24694, 20506, 17552, 16582, 16582, 33777, 28232, 16409, 16582, 19494, 16673, 16647, 22708, 65429, 18021, 35524, 16704, 16647, 25030, 16721, 16742, 16769, 25646, 16641, 18282, 17989, 16641, 18370, 16397, 17673, 17038, 18544, 16743, 16466, 24654, 20380, 16704, 16671, 18881, 21663, 19546, 16674, 19834, 17038, 18370, 16743, 16466, 25069, 16396, 16465, 45984, 16397, 19736, 18206, 37610, 16674, 20217, 40523, 38244, 18057, 17065, 18237, 20835, 20514, 24414, 16811, 25662, 21611, 27083, 16798, 16397, 17664, 16704, 17653, 39512, 16397, 18483, 19893, 16673, 29155, 20550, 16395, 47569, 16395, 20380, 16674, 19307, 16397, 18483, 16671, 16944, 16742, 16741, 23304, 35971, 57895, 16671, 26401, 17038, 19744, 16673, 25874, 16674, 26980, 16673, 17038, 19261, 16397, 17376, 16742, 16769, 33759, 16674, 32100, 16665, 17065, 18531, 16742, 36647, 16665, 17647, 16741, 35892, 16395, 16742, 37987, 20025, 16817, 16718, 16671, 16667, 39512, 16673, 17255, 16397, 16582, 16582, 27769, 16396, 18264, 16396, 19315, 16409, 16582, 42101, 16674, 18237, 31587, 16704, 40588, 16672, 24435, 16397, 17119, 16769, 18143, 37681, 16671, 18623, 16641, 30094, 19007, 16397, 18485, 17172, 16742, 27829, 16734, 16647, 38367, 16673, 20322, 16397, 16999, 16704, 16721, 16742, 28404, 16641, 29692, 17292, 33192, 16395, 17199, 16671, 17038, 17304, 40664, 18769, 16395, 16715, 16647, 17839, 18700, 16673, 17255, 17262, 16397, 20193, 17386, 16395, 34572, 16673, 17047, 16858, 17030, 16647, 17394, 25540, 16709, 34403, 17139, 39849, 16798, 16397, 28399, 17054, 17552, 28549, 16641, 22122, 16674, 18237, 58013, 16721, 34660, 16952, 55548, 16674, 17576, 25954, 16647, 49690, 16673, 20835, 16397, 16772, 18712, 16742, 21174, 16704, 24523, 16671, 17016, 16742, 17913, 16397, 17376, 18206, 28591, 16395, 16742, 16769, 16859, 21197, 16742, 16843, 51706, 16674, 16398, 16658, 22017, 22938, 16395, 18208, 16674, 17038, 18805, 16809, 16647, 18950, 16673, 18712, 16742, 42162, 16758, 16397, 16582, 16582, 50323, 62510, 16409, 16582, 42496, 16741, 16641, 18238, 16673, 47569, 16674, 18141, 16704, 16647, 43731, 16721, 16872, 16992, 23150, 17030, 17038, 23731, 16397, 22016, 16704, 45235, 16671, 47886, 16811, 39397, 33838, 16767, 16647, 17985, 16673, 17038, 18741, 24073, 16395, 29640, 16395, 17803, 16674, 20380, 16397, 17008, 22623, 16673, 19560, 16715, 38668, 47818, 16872, 16992, 16674, 16704, 17686, 17875, 16397, 16999, 23159, 16734, 17038, 20100, 16671, 23196, 16395, 18385, 16674, 21398, 16929, 16674, 17818, 16742, 16769, 16397, 25129, 18920, 16704, 16804, 17494, 16672, 17038, 19694, 22982, 16395, 45871, 16785, 16647, 22741, 16742, 17123, 18262, 16397, 16999, 16704, 16647, 20825, 16395, 20165, 16674, 18950, 16673, 17038, 18712, 16397, 16999, 21331, 16674, 49386, 17038, 19261, 16397, 18196, 16742, 17671, 16671, 16647, 32866, 33620, 16673, 27776, 18712, 16395, 16742, 18222, 16858, 16742, 17123, 21991, 16397, 16582, 16582, 55907, 16672, 38027, 16409, 16582, 17507, 16769, 22399, 16396, 29359, 28591, 16397, 17119, 16807, 16647, 19056, 16715, 16859, 17240, 16922, 16397, 19139, 17802, 16395, 16647, 23239, 16673, 18237, 20835, 49683, 16907, 16815, 21638, 21582, 16674, 35941, 16734, 17038, 53653, 19553, 31697, 16397, 19736, 50140, 20322, 24203, 28356, 17099, 17038, 18370, 16674, 18282, 16741, 16641, 17510, 16673, 44444, 16395, 37859, 16674, 43525, 16671, 19834, 25067, 16679, 17030, 27363, 16397, 22494, 17038, 56347, 26056, 16674, 49850, 16843, 17953, 16907, 16815, 16647, 28263, 16673, 18237, 20835, 16397, 19736, 17670, 16715, 29640, 16395, 26891, 16395, 47569, 16674, 20380, 23159, 16734, 16907, 16397, 17119, 17724, 30536, 16674, 32940, 20837, 16647, 36859, 17989, 16671, 22017, 22938, 16397, 16582, 16582, 16853, 22528, 20814, 16673, 65084, 16409, 16582, 33777, 20835, 17257, 16804, 30555, 16395, 23640, 16785, 17564, 17038, 19091, 16673, 16674, 22271, 16672, 17255, 16397, 19736, 18019, 16673, 17255, 16872, 16992, 50338, 16674, 47870, 17065, 16641, 17417, 16673, 40069, 16674, 19395, 16397, 21561, 40713, 17255, 16704, 16641, 25035, 31817, 17415, 25544, 16674, 22399, 16396, 29359, 23731, 16397, 17119, 16807, 16992, 51552, 16671, 18360, 16721, 59301, 16704, 17536, 16742, 16985, 19863, 16671, 16703, 24086, 16604, 16894, 16466, 27051, 16708, 16397, 16900, 17119, 16769, 18022, 56347, 16397, 17119, 17724, 17953, 22938, 16815, 16647, 18237, 25776, 16721, 16872, 41494, 17038, 27723, 17255, 16397, 16772, 18159, 20165, 16673, 17038, 27776, 18712, 16704, 18862, 16895, 17014, 16742, 20446, 16671, 18360, 16922, 16672, 16929, 16647, 17394, 18199, 16907, 16674, 17827, 16672, 16929, 16742, 16769, 16397, 16582, 16582, 16894, 43696, 16704, 16804, 21047, 16815, 17016, 16742, 16829, 16395, 16728, 16704, 19438, 16809, 16929, 16742, 16769, 16397, 16900, 16582, 16582, 16853, 19178, 16673, 26309, 16409, 16582, 32101, 16704, 16667, 17114, 16673, 18741, 29640, 16397, 16875, 25315, 20322, 16395, 17073, 17238, 19927, 16704, 35441, 16397, 16999, 16704, 16647, 17097, 17210, 16715, 16907, 16671, 18222, 16667, 20825, 16673, 17038, 22109, 16397, 16772, 19777, 17415, 17255, 16674, 18045, 16704, 43302, 39463, 16674, 60957, 18109, 19028, 16647, 20157, 16673, 17038, 47224, 16679, 16397, 16772, 20100, 17415, 44305, 17038, 24941, 16674, 17255, 28905, 49386, 16647, 31462, 16673, 17038, 18741, 27026, 16397, 26309, 16704, 16641, 64235, 16673, 17038, 36720, 16395, 50411, 16395, 21444, 16395, 23598, 16674, 49850, 16397, 21401, 16742, 16769, 17255, 16704, 16667, 22009, 17467, 17510, 16671, 16944, 16742, 16769, 16858, 39350, 16397, 16999, 16704, 16647, 50309, 16673, 17038, 22109, 16672, 17417, 16397, 16582, 16582, 33918, 22584, 16673, 20851, 16409, 16582, 20965, 17255, 16704, 17910, 41959, 16397, 16772, 18370, 16674, 18282, 16769, 20212, 62048, 16721, 17823, 16907, 16671, 25566, 16734, 18237, 20835, 16397, 19736, 18544, 28549, 16641, 21197, 44267, 31946, 16721, 45330, 17204, 20371, 17038, 19902, 24073, 16397, 16999, 17153, 17283, 16667, 32866, 16395, 27776, 18712, 16397, 19736, 22109, 16704, 16647, 19419, 16673, 17038, 17417, 19835, 16674, 35022, 17129, 16728, 17181, 16647, 30369, 16673, 17038, 16816, 16844, 16735, 17434, 16397, 19736, 16816, 16844, 22701, 37182, 16811, 18712, 16715, 17038, 20217, 18019, 16397, 16772, 19927, 16673, 16647, 18712, 16721, 42162, 17099, 16815, 17038, 16816, 16844, 22701, 16704, 21365, 16809, 16929, 16742, 20446, 16671, 16703, 16397, 16772, 39691, 17415, 17038, 22109, 16395, 18544, 16395, 18282, 16674, 18370, 16704, 25035, 16672, 31040, 17038, 19359, 17552, 16734, 16647, 24855, 16397, 16582, 16582, 16435, 30987, 16673, 22905, 16409, 16582, 25822, 16673, 16907, 16872, 16667, 40588, 18676, 18047, 16641, 16604, 16894, 28485, 16730, 16397, 16900, 16999, 18881, 34053, 18712, 32941, 16815, 16647, 20128, 16673, 17038, 17255, 17187, 17038, 22109, 16395, 18544, 16395, 18282, 16674, 18370, 46327, 16397, 20970, 16647, 47675, 17384, 16674, 40123, 17384, 16673, 17038, 25122, 24557, 16395, 16728, 31405, 17099, 16674, 27911, 21919, 18712, 16672, 16667, 33574, 16693, 18979, 16674, 19924, 16397, 19736, 16816, 16844, 16735, 17434, 28435, 16672, 64327, 16734, 16647, 18712, 43827, 16673, 16647, 24855, 16397, 16999, 16704, 16647, 20933, 59522, 16673, 17038, 17417, 19835, 16397, 16999, 16704, 17027, 16647, 19419, 16673, 17038, 29640, 16674, 17073, 39170, 16397, 19736, 24368, 16730, 16704, 16641, 24991, 16715, 16647, 24023, 16674, 20825, 16673, 17038, 29628, 16397, 17376, 16742, 18222, 21582, 16673, 16674, 28810, 16734, 16728, 16395, 17038, 25122, 18712, 51345, 17038, 18019, 16673, 17255, 16397, 16582, 16582, 33788, 16768, 18057, 16409, 16582, 20965, 29628, 17893, 27061, 17038, 40588, 18019, 16397, 19736, 18712, 16704, 16804, 20854, 21575, 26140, 16671, 16647, 21743, 16673, 17038, 18545, 18870, 16674, 27533, 17521, 24955, 16397, 17119, 32697, 16674, 19436, 24202, 17014, 16742, 16769, 30930, 16674, 45346, 17173, 16809, 18237, 24746, 16397, 17119, 16769, 16859, 17240, 16922, 17032, 16742, 16769, 51552, 16671, 18360, 16397, 18196, 16742, 20746, 16858, 21025, 16673, 17038, 17255, 16395, 16742, 24339, 16667, 32866, 19419, 16673, 18712, 16397, 16999, 16704, 16667, 22009, 33489, 16671, 36133, 16652, 17038, 26424, 16674, 18209, 16815, 17038, 49850, 16397, 17119, 16769, 17910, 16396, 29359, 28591, 16929, 16807, 16647, 35040, 19056, 16671, 32940, 20837, 22938, 16674, 17038, 18237, 18805, 16397, 17119, 16769, 18531, 16742, 16868, 18021, 17109, 16397, 16582, 16582, 16853, 28611, 16409, 16582, 16853, 24855, 25438, 22576, 16673, 18712, 16397, 17674, 16742, 20028, 16395, 22017, 16674, 21398, 16728, 34158, 17073, 20165, 16395, 19927, 16674, 20380, 16397, 16772, 24073, 16742, 16807, 16673, 17038, 18741, 18712, 20634, 16907, 16671, 18291, 16395, 18314, 16674, 21182, 16728, 21286, 16671, 17038, 17109, 16397, 17119, 16769, 16804, 17153, 43353, 16397, 17119, 16769, 39271, 16397, 17119, 16769, 26987, 16674, 23569, 63900, 17035, 16929, 24339, 22505, 24801, 16673, 18712, 16397, 21849, 16468, 17019, 16704, 16647, 17097, 17210, 17181, 16944, 16742, 17123, 26837, 17038, 47569, 16397, 19736, 40661, 16704, 17038, 28905, 21672, 16671, 16703, 16667, 40588, 23482, 16673, 27776, 23384, 16397, 27891, 16742, 16807, 16992, 16395, 16769, 16674, 16868, 18021, 16703, 16704, 16647, 39170, 16673, 17038, 25122, 18712, 16397, 16582, 16582, 16894, 17507, 16769, 16804, 16641, 29520, 16673, 20322, 16395, 16742, 16769, 16667, 20825, 16673, 16647, 24855, 16397, 16900, 16582, 16582, 22194, 18471, 17267, 18471, 16409, 16582, 18571, 16742, 39962, 17038, 18019, 16673, 17417, 21083, 17038, 20835, 16397, 17674, 16742, 22017, 17038, 18019, 16673, 17417, 21083, 17038, 20477, 16397, 17170, 16704, 16667, 22009, 31817, 18143, 28818, 29512, 16647, 46799, 16450, 17077, 16673, 29312, 16734, 16944, 16742, 42771, 17038, 19261, 16397, 20361, 16673, 16907, 18314, 17038, 20217, 23505, 16709, 36470, 18661, 17032, 42679, 16397, 22016, 40523, 16694, 26843, 17099, 16907, 17065, 16811, 18282, 16396, 32402, 26555, 16671, 16952, 35171, 16758, 16674, 31058, 16907, 16815, 17038, 18159, 20380, 16397, 59121, 55009, 16673, 29401, 16674, 30168, 16988, 16673, 17796, 17030, 49576, 21663, 17038, 36720, 16397, 17119, 17823, 22938, 16671, 16703, 26327, 16674, 16774, 24112, 16809, 17038, 18171, 16396, 31263, 20571, 20650, 16395, 24203, 28817, 16809, 16647, 53198, 16640, 18302, 16673, 17038, 18237, 18805, 16397, 16582, 16582, 16853, 32012, 16673, 40411, 16409, 16582, 17506, 17854, 16704, 16804, 16604, 16894, 21760, 16397, 16900, 17933, 18798, 17072, 20702, 16785, 40485, 16811, 17123, 17672, 16395, 20835, 16704, 17038, 32476, 18206, 62691, 16397, 16999, 16704, 16647, 26951, 17510, 16673, 33186, 16397, 40411, 16704, 16667, 45235, 35344, 30701, 19028, 16907, 16809, 50140, 16395, 45341, 16666, 16395, 20691, 44417, 16395, 23332, 50097, 17047, 21797, 56357, 16709, 18123, 16395, 44336, 16395, 37859, 16674, 17803, 16397, 16999, 16704, 16641, 18206, 23075, 16671, 17588, 16856, 16674, 38875, 17038, 29628, 16395, 39153, 16674, 47105, 16397, 16875, 18888, 35259, 16395, 16858, 16673, 16907, 61021, 16671, 16811, 46492, 16919, 18175, 19835, 16672, 20198, 16673, 22155, 16395, 41866, 16395, 25560, 18332, 16674, 50186, 16397, 40411, 16704, 16641, 58013, 35524, 16671, 35174, 18531, 23674, 16815, 17073, 22696, 17802, 16397, 16999, 16704, 16667, 39512, 16671, 51706, 17016, 16704, 17446, 16397, 16582, 16582, 63673, 42610, 16409, 16582, 16853, 17154, 32676, 20688, 16673, 29401, 16704, 17072, 16728, 16704, 48002, 16397, 17119, 17492, 16807, 16641, 19857, 22410, 16709, 17038, 19261, 16674, 20322, 16397, 24392, 16395, 16742, 17823, 17038, 61520, 16671, 16703, 50338, 16674, 47870, 16809, 19027, 18691, 43305, 26908, 16396, 58876, 17624, 16809, 16674, 16715, 26140, 19223, 16674, 18238, 16397, 16999, 16704, 16804, 16647, 21041, 16395, 48645, 16674, 22505, 32830, 16672, 17038, 29401, 16721, 17190, 16647, 22708, 19032, 16397, 16999, 16704, 16647, 20217, 16395, 27401, 16674, 30822, 48681, 16671, 16944, 16742, 16807, 16992, 17087, 17000, 16654, 17521, 16397, 19002, 18471, 16704, 48002, 17155, 17386, 16674, 17210, 16671, 22154, 20763, 16715, 16647, 17589, 16767, 16647, 17985, 16673, 16647, 17259, 16397, 16875, 16641, 20322, 30619, 16671, 18360, 16672, 16604, 16894, 63849, 16395, 16900, 22410, 16704, 20283, 33759, 16395, 39068, 16674, 35524, 16397, 16582, 16582, 18069, 18772, 16725, 16409, 16582, 17507, 16769, 19893, 16674, 51876, 16671, 42144, 17356, 16674, 30800, 16397, 20361, 16673, 16907, 18222, 38964, 17172, 16742, 16769, 35845, 51552, 16671, 17882, 17915, 17038, 18741, 17803, 16741, 16641, 33489, 16671, 24039, 16672, 20835, 16397, 19736, 25093, 16673, 23731, 16704, 19789, 19028, 16667, 40768, 19453, 16673, 35015, 16395, 17153, 18093, 16395, 44336, 16674, 18171, 16396, 18357, 32417, 17552, 16397, 17119, 42771, 17038, 19261, 16734, 19902, 34189, 16395, 26479, 22970, 16674, 32790, 26056, 16397, 19736, 22109, 16704, 16641, 28426, 57918, 16673, 16647, 17417, 16742, 16807, 17301, 50465, 16671, 50266, 16395, 32735, 16674, 35174, 16397, 17119, 16807, 17366, 16728, 16922, 26729, 16674, 27699, 16671, 25225, 16674, 16916, 28985, 16647, 19261, 16673, 18208, 16767, 16647, 17985, 16673, 17038, 17304, 16397, 20970, 17038, 17803, 16395, 16742, 49410, 17882, 17915, 16647, 16709, 16730, 16673, 17038, 29401, 16397, 16582, 16582, 17507, 19898, 17887, 17119, 21125, 16409, 16582, 20965, 19261, 16769, 21365, 16809, 17072, 16742, 18058, 17007, 16397, 25916, 16742, 16807, 19001, 36720, 16395, 17038, 23755, 26222, 28563, 17038, 18019, 16397, 20361, 16673, 17016, 16742, 18222, 16704, 16641, 64235, 16673, 17016, 16742, 39962, 16397, 19736, 21936, 58924, 17038, 23731, 16397, 17119, 16769, 22576, 62544, 19028, 17016, 16742, 17134, 16397, 19736, 19464, 16774, 26510, 16907, 16741, 17240, 16741, 17038, 20835, 16397, 17887, 16742, 16604, 16894, 46868, 16900, 16671, 17134, 18143, 17030, 61519, 17016, 16742, 16604, 16894, 39726, 16900, 16671, 17134, 16397, 20193, 17386, 16742, 28404, 16641, 18545, 20835, 18138, 19028, 17072, 16674, 17016, 16742, 29729, 16397, 22016, 16704, 20087, 16671, 33555, 16907, 17065, 27083, 16798, 16397, 60224, 29401, 16674, 16647, 41935, 28578, 16673, 16604, 16894, 63849, 16900, 49683, 17038, 19629, 16671, 26837, 17038, 18741, 21936, 16397, 16582, 16582, 16894, 17409, 17930, 16743, 16467, 18798, 17016, 20778, 17473, 16907, 16395, 16728, 17097, 22742, 17016, 20778, 17989, 16397, 16900 ]
[ 0, 16474, 16582, 16604, 16385, 49880, 16385, 16409, 16604, 16442, 16582, 16650, 16474, 16582, 16650, 16604, 16385, 18933, 16446, 18926, 16385, 16409, 16604, 16385, 18227, 16385, 16395, 16582, 16650, 16604, 16385, 28600, 17397, 16446, 21207, 16385, 16409, 16604, 16400, 16395, 16582, 16650, 16604, 16385, 38861, 16385, 16409, 16604, 16474, 16476, 16395, 16582, 16650, 16604, 16385, 26418, 16466, 16385, 16409, 16604, 16442, 16582, 16696, 16474, 16582, 16696, 16604, 16385, 18596, 16385, 16409, 16604, 16385, 54341, 16385, 16395, 16582, 16696, 16604, 16385, 26418, 16446, 18926, 16385, 16409, 16604, 16385, 21851, 16385, 16395, 16582, 16696, 16604, 16385, 17888, 16385, 16409, 16604, 16442, 16582, 16696, 16650, 16385, 30717, 16700, 28103, 41733, 57360, 16397, 16443, 16461, 16385, 16582, 16696, 16604, 16444, 16582, 16696, 16476, 16582, 16650, 16604, 16444, 16395, 16582, 16650, 16604, 16385, 24551, 16385, 16409, 16604, 16442, 16582, 16696, 16385, 18665, 61908, 16741, 34852, 16443, 16461, 16385, 16395, 16582, 16696, 16385, 18665, 32753, 16443, 16461, 16385, 16395, 16582, 16696, 16385, 20563, 39632, 16676, 16397, 33117, 17609, 26712, 16443, 16461, 16385, 16395, 16582, 16696, 16385, 20563, 39632, 16676, 16397, 61099, 17609, 43289, 16443, 16461, 16385, 16395, 16582, 16696, 16385, 20563, 39632, 16676, 16397, 61099, 16397, 46070, 18755, 16666, 17609, 56621, 16401, 16419, 16443, 16461, 16385, 16395, 16582, 16696, 16385, 20563, 39632, 16676, 17609, 57360, 16741, 16908, 16443, 16461, 16385, 16395, 16582, 16696, 16385, 20563, 30360, 17609, 17937, 20439, 52226, 16385, 16582, 16650, 16604, 16444, 16582, 16650, 16476, 16395, 16582, 16650, 16474, 16582, 16650, 16604, 16385, 18933, 16446, 18926, 16385, 16409, 16604, 16385, 18227, 16385, 16395, 16582, 16650, 16604, 16385, 28600, 17397, 16446, 21207, 16385, 16409, 16604, 16401, 16395, 16582, 16650, 16604, 16385, 38861, 16385, 16409, 16604, 16474, 16582, 16696, 16385, 31726, 30869, 16385, 16409, 18159, 16582, 16650, 16604, 16476, 16395, 16582, 16650, 16604, 16385, 26418, 16466, 16385, 16409, 16604, 16442, 16444, 16395, 16582, 16650, 16604, 16385, 24551, 16385, 16409, 16604, 16442, 16582, 16696, 16385, 18280, 22564, 16446, 27974, 20310, 16391, 19504, 16395, 20276, 16412, 16405, 16392, 16409, 16443, 16461, 16385, 16395, 16582, 16696, 16385, 16696, 17501, 16604, 16442, 20300, 16391, 16471, 16604, 16393, 16604, 16400, 16399, 16393, 16393, 41002, 16392, 16604, 16398, 16604, 16400, 16399, 16393, 16393, 41002, 16715, 18509, 16672, 38855, 16444, 16385, 16582, 16650, 16604, 16444, 16582, 16650, 16476, 16395, 16582, 16650, 16474, 16582, 16650, 16604, 16385, 18933, 16446, 18926, 16385, 16409, 16604, 16385, 18227, 16385, 16395, 16582, 16650, 16604, 16385, 28600, 17397, 16446, 21207, 16385, 16409, 16604, 16402, 16395, 16582, 16650, 16604, 16385, 38861, 16385, 16409, 16604, 16474, 16582, 16696, 16385, 31726, 30869, 16385, 16409, 18159, 16582, 16650, 16604, 16476, 16395, 16582, 16650, 16604, 16385, 26418, 16466, 16385, 16409, 16604, 16442, 16444, 16395, 16582, 16650, 16604, 16385, 24551, 16385, 16409, 16604, 16442, 16582, 16696, 16385, 44614, 16604, 16412, 17937, 20439, 52226, 16391, 16392, 16385, 16582, 16650, 16604, 16444, 16582, 16650, 16476, 16395, 16582, 16650, 16474, 16582, 16650, 16604, 16385, 18933, 16446, 18926, 16385, 16409, 16604, 16385, 19632, 19671, 16385, 16395, 16582, 16650, 16604, 16385, 38861, 16385, 16409, 16604, 16474, 16476, 16395, 16582, 16650, 16604, 16385, 24551, 16385, 16409, 16604, 16442, 16582, 16696, 16385, 16386, 16386, 16386, 30761, 16604, 16400, 16385, 16582, 16650, 16604, 16444, 16582, 16650, 16476, 16395, 16582, 16650, 16474, 16582, 16650, 16604, 16385, 18933, 16446, 18926, 16385, 16409, 16604, 16385, 18227, 16385, 16395, 16582, 16650, 16604, 16385, 28600, 17397, 16446, 21207, 16385, 16409, 16604, 16403, 16395, 16582, 16650, 16604, 16385, 38861, 16385, 16409, 16604, 16474, 16582, 16696, 16385, 31726, 30869, 16385, 16409, 18159, 16582, 16650, 16604, 16476, 16395, 16582, 16650, 16604, 16385, 26418, 16466, 16385, 16409, 16604, 16442, 16444, 16395, 16582, 16650, 16604, 16385, 24551, 16385, 16409, 16604, 16442, 16582, 16696, 16385, 32849, 16446, 44708, 16604, 16412, 16604, 16400, 16399, 16399, 16399, 16443, 16461, 16385, 16395, 16582, 16696, 16385, 19280, 16446, 16642, 16446, 34417, 16604, 16412, 16604, 16391, 16400, 16406, 16395, 16604, 16400, 16406, 16395, 16604, 16401, 16392, 16443, 16461, 16385, 16395, 16582, 16696, 16385, 16443, 16461, 16385, 16395, 16582, 16696, 16385, 61099, 16604, 16412, 16604, 16442, 16443, 16461, 16385, 16395, 16582, 16696, 16385, 16696, 18186, 16469, 16401, 16419, 16391, 16404, 16395, 16604, 16391, 16402, 16395, 16402, 16392, 16395, 29304, 16412, 16390, 16644, 18350, 16390, 16395, 51458, 16412, 16390, 43982, 16390, 16395, 55629, 16412, 16391, 16401, 16395, 16604, 16401, 16392, 16395, 17586, 16446, 24625, 16412, 16390, 61666, 16446, 22561, 16390, 16395, 17231, 16446, 16449, 21253, 16412, 23558, 16392, 16395, 16443, 16461, 16385, 16395, 16582, 16696, 16385, 16696, 18186, 16469, 16401, 16419, 16391, 16403, 16395, 16604, 16391, 16402, 16395, 16402, 16392, 16395, 29304, 16412, 16390, 32577, 16390, 16395, 51458, 16412, 16390, 43982, 16390, 16395, 55629, 16412, 16391, 16400, 16395, 16604, 16400, 16392, 16395, 17586, 16446, 24625, 16412, 16390, 61666, 16446, 22561, 16390, 16395, 17231, 16446, 16449, 21253, 16412, 23558, 16392, 16395, 16443, 16461, 16385, 16395, 16582, 16696, 16385, 16696, 18186, 16469, 16401, 16419, 16391, 16401, 16395, 16604, 16391, 16402, 16395, 16402, 16392, 16395, 29304, 16412, 16390, 16644, 18350, 16390, 16395, 51458, 16412, 16390, 23306, 16390, 16395, 55629, 16412, 16391, 16400, 16395, 16604, 16400, 16392, 16395, 17586, 16446, 24625, 16412, 16390, 61666, 16446, 22561, 16390, 16395, 17231, 16446, 16449, 21253, 16412, 23558, 16392, 16395, 16443, 16461, 16385, 16395, 16582, 16696, 16385, 16696, 18186, 16469, 16401, 16419, 16391, 16402, 16395, 16604, 16391, 16404, 16395, 16404, 16392, 16395, 29304, 16412, 16390, 16644, 18350, 16390, 16395, 51458, 16412, 16390, 23306, 16390, 16395, 55629, 16412, 16391, 16400, 16395, 16604, 16400, 16392, 16395, 17586, 16446, 24625, 16412, 16390, 61666, 16446, 22561, 16390, 16395, 17231, 16446, 16449, 21253, 16412, 23558, 16392, 16395, 16443, 16461, 16385, 16395, 16582, 16696, 16385, 16696, 18186, 16469, 16401, 16419, 16391, 16401, 16395, 16604, 16391, 16402, 16395, 16402, 16392, 16395, 29304, 16412, 16390, 32577, 16390, 16395, 51458, 16412, 16390, 23306, 16390, 16395, 55629, 16412, 16391, 16400, 16395, 16604, 16400, 16392, 16395, 17586, 16446, 24625, 16412, 16390, 61666, 16446, 22561, 16390, 16395, 17231, 16446, 16449, 21253, 16412, 23558, 16392, 16443, 16461, 16385, 16395, 16582, 16696, 16385, 16444, 16443, 16461, 16385, 16395, 16582, 16696, 16385, 16443, 16461, 16385, 16395, 16582, 16696, 16385, 22979, 16446, 29127, 16604, 16412, 43289, 16391, 34417, 16412, 19280, 16446, 16642, 16446, 34417, 16392, 16443, 16461, 16385, 16395, 16582, 16696, 16385, 16471, 16604, 16412, 27440, 16442, 16399, 16444, 16391, 22979, 16446, 29127, 16392, 16443, 16461, 16385, 16395, 16582, 16696, 16385, 17756, 22450, 16672, 27440, 16442, 16400, 16409, 16396, 16400, 16444, 16409, 16443, 16461, 16385, 16395, 16582, 16696, 16385, 16696, 16471, 16604, 16412, 22450, 16391, 16471, 16392, 16443, 16461, 16385, 16395, 16582, 16696, 16385, 26418, 16446, 29127, 16604, 16412, 27440, 16442, 16396, 16400, 16444, 16391, 16471, 16392, 16443, 16461, 16385, 16395, 16582, 16696, 16385, 24048, 16604, 16412, 26712, 16391, 60760, 16412, 22979, 16446, 29127, 16395, 41232, 16412, 26418, 16446, 29127, 16392, 16443, 16461, 16385, 16395, 16582, 16696, 16385, 16443, 16461, 16385, 16395, 16582, 16696, 16385, 37711, 16397, 32849, 16397, 44708, 16391, 32849, 16446, 44708, 16392, 16443, 16461, 16385, 16395, 16582, 16696, 16385, 19280, 16446, 16642, 16604, 16412, 16604, 16401, 16604, 16393, 34852, 16397, 32849, 16397, 32849, 16391, 19280, 16446, 16642, 16446, 34417, 16392, 16604, 16396, 16604, 16400, 16443, 16461, 16385, 16395, 16582, 16696, 16385, 16443, 16461, 16385, 16395, 16582, 16696, 16385, 16386, 17280, 36223, 16671, 21179, 16604, 16391, 16893, 25541, 16715, 30246, 16845, 49952, 16392, 16443, 16461, 16385, 16395, 16582, 16696, 16385, 59957, 16604, 16412, 16604, 16442, 16444, 16443, 16461, 16385, 16395, 16582, 16696, 16385, 17756, 17226, 16395, 16651, 16672, 16901, 40356, 16391, 24048, 16397, 17079, 16446, 59957, 16391, 16392, 16392, 16409, 16443, 16461, 16385, 16395, 16582, 16696, 16385, 16696, 37711, 16397, 32849, 16397, 44708, 16391, 32849, 16446, 44708, 16604, 16394, 17226, 16392, 16443, 16461, 16385, 16395, 16582, 16696, 16385, 16696, 59957, 16397, 24288, 16391, 16401, 16604, 16393, 34852, 16397, 32849, 16397, 32849, 16391, 16470, 16397, 34417, 16392, 16604, 16396, 16604, 16400, 16392, 16443, 16461, 16385, 16395, 16582, 16696, 16385, 24048, 16397, 17793, 16446, 59957, 16391, 59957, 16392, 16443, 16461, 16385, 16395, 16582, 16696, 16385, 16443, 16461, 16385, 16395, 16582, 16696, 16385, 22380, 16604, 16412, 18528, 16397, 37207, 16391, 37711, 16397, 20980, 16391, 16442, 19280, 16446, 16642, 16444, 16392, 16392, 16443, 16461, 16385, 16395, 16582, 16696, 16385, 19280, 16446, 16833, 16446, 34417, 16604, 16412, 17539, 16442, 16399, 16444, 16397, 34417, 16443, 16461, 16385, 16395, 16582, 16696, 16385, 19280, 16446, 16642, 16446, 17024, 36349, 16604, 16412, 22564, 16446, 27974, 20310, 16391, 19280, 16446, 16642, 16397, 45990, 16391, 16392, 16397, 51003, 16771, 16391, 16392, 16392, 16443, 16461, 16385, 16395, 16582, 16696, 16385, 19280, 16446, 16833, 16446, 17024, 36349, 16604, 16412, 22564, 16446, 27974, 20310, 16391, 22380, 16442, 16399, 16444, 16397, 45990, 16391, 16392, 16397, 51003, 16771, 16391, 16392, 16392, 16443, 16461, 16385, 16395, 16582, 16696, 16385, 16443, 16461, 16385, 16395, 16582, 16696, 16385, 44614, 16442, 16390, 63815, 16446, 16399, 16400, 16390, 16444, 16604, 16412, 16604, 16474, 16443, 16461, 16385, 16395, 16582, 16696, 16385, 16696, 16390, 22979, 16390, 16409, 16604, 16474, 16390, 19280, 16390, 16409, 17586, 16446, 16642, 16446, 17024, 36349, 16395, 16604, 16390, 34417, 16390, 16409, 17586, 16446, 16642, 16446, 34417, 16476, 16395, 16443, 16461, 16385, 16395, 16582, 16696, 16385, 16696, 16390, 59957, 16390, 16409, 16604, 16442, 16474, 16390, 19280, 16390, 16409, 22564, 16446, 27974, 20310, 16391, 16470, 16397, 45990, 16391, 16392, 16397, 51003, 16771, 16391, 16392, 16392, 16395, 16604, 16390, 34417, 16390, 16409, 16651, 16397, 34417, 16476, 16715, 16651, 16672, 36223, 16444, 16395, 16443, 16461, 16385, 16395, 16582, 16696, 16385, 16696, 16390, 23691, 16390, 16409, 16604, 16474, 16390, 19280, 16390, 16409, 17586, 16446, 16833, 16446, 17024, 36349, 16395, 16604, 16390, 34417, 16390, 16409, 17586, 16446, 16833, 16446, 34417, 16476, 16443, 16461, 16385, 16395, 16582, 16696, 16385, 16476, 16385, 16582, 16650, 16604, 16444, 16582, 16650, 16476, 16395, 16582, 16650, 16474, 16582, 16650, 16604, 16385, 18933, 16446, 18926, 16385, 16409, 16604, 16385, 19632, 19671, 16385, 16395, 16582, 16650, 16604, 16385, 38861, 16385, 16409, 16604, 16474, 16476, 16395, 16582, 16650, 16604, 16385, 24551, 16385, 16409, 16604, 16442, 16582, 16696, 16385, 16386, 16386, 16386, 27084, 16715, 36670, 16676, 16397, 22349, 22076, 16385, 16582, 16650, 16604, 16444, 16582, 16650, 16476, 16395, 16582, 16650, 16474, 16582, 16650, 16604, 16385, 18933, 16446, 18926, 16385, 16409, 16604, 16385, 18227, 16385, 16395, 16582, 16650, 16604, 16385, 28600, 17397, 16446, 21207, 16385, 16409, 16604, 16404, 16395, 16582, 16650, 16604, 16385, 38861, 16385, 16409, 16604, 16474, 16582, 16696, 16385, 31726, 30869, 16385, 16409, 18159, 16582, 16650, 16604, 16476, 16395, 16582, 16650, 16604, 16385, 26418, 16466, 16385, 16409, 16604, 16442, 16444, 16395, 16582, 16650, 16604, 16385, 24551, 16385, 16409, 16604, 16442, 16582, 16696, 16385, 18665, 25667, 16443, 16461, 16385, 16395, 16582, 16696, 16385, 16443, 16461, 16385, 16395, 16582, 16696, 16385, 34997, 16604, 16412, 16604, 16390, 16397, 16397, 16398, 16397, 16397, 16398, 18922, 16398, 19280, 16398, 63815, 16398, 16399, 16400, 16397, 24921, 16390, 16443, 16461, 16385, 16395, 16582, 16696, 16385, 16736, 16804, 25667, 16397, 20284, 16397, 38279, 16391, 16786, 16397, 20284, 16397, 57772, 16391, 34997, 16392, 16392, 16409, 16443, 16461, 16385, 16395, 16582, 16696, 16385, 16696, 16786, 16397, 16460, 22059, 33082, 16391, 16786, 16397, 20284, 16397, 57772, 16391, 34997, 16392, 16392, 16443, 16461, 16385, 16395, 16582, 16696, 16385, 20110, 17671, 16391, 34997, 16395, 16604, 16390, 16470, 16390, 16392, 16741, 16662, 16409, 16443, 16461, 16385, 16395, 16582, 16696, 16385, 16696, 24921, 16397, 52992, 16391, 44614, 16395, 16662, 16392, 16385, 16582, 16650, 16604, 16444, 16582, 16650, 16476, 16395, 16582, 16650, 16474, 16582, 16650, 16604, 16385, 18933, 16446, 18926, 16385, 16409, 16604, 16385, 18227, 16385, 16395, 16582, 16650, 16604, 16385, 28600, 17397, 16446, 21207, 16385, 16409, 16604, 16405, 16395, 16582, 16650, 16604, 16385, 38861, 16385, 16409, 16604, 16474, 16476, 16395, 16582, 16650, 16604, 16385, 26418, 16466, 16385, 16409, 16604, 16442, 16582, 16696, 16474, 16582, 16696, 16604, 16385, 18596, 16385, 16409, 16604, 16385, 60530, 16385, 16395, 16582, 16696, 16604, 16385, 26418, 16446, 18926, 16385, 16409, 16604, 16385, 21851, 16385, 16395, 16582, 16696, 16604, 16385, 17888, 16385, 16409, 16604, 16442, 16582, 16696, 16650, 16385, 16474, 16443, 16385, 63815, 16446, 16399, 16400, 16443, 16385, 16409, 16604, 16474, 16443, 16385, 22979, 16443, 16385, 16409, 16604, 16474, 16443, 16385, 19280, 16443, 16385, 16409, 16604, 16442, 16399, 16397, 16402, 16399, 16406, 16400, 16406, 16408, 16395, 16604, 16396, 16399, 16397, 16406, 16405, 16408, 16408, 16407, 16405, 16395, 16604, 16399, 16397, 16408, 16399, 16399, 16404, 16405, 16405, 16395, 16604, 16396, 16399, 16397, 16399, 16402, 16404, 16405, 16400, 16406, 16395, 16604, 16399, 16397, 16406, 16403, 16403, 16408, 16403, 16408, 16395, 16604, 16396, 16399, 16397, 16404, 16406, 16404, 16402, 16402, 16404, 16395, 16604, 16396, 16399, 16397, 16408, 16400, 16407, 16404, 16407, 16400, 16395, 16604, 16396, 16399, 16397, 16401, 16399, 16404, 16405, 16400, 16400, 16395, 16604, 16396, 16399, 16397, 16404, 16402, 16402, 16406, 16402, 16405, 16395, 16604, 16399, 16397, 16405 ]
[ 0, 36300, 16582, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16582, 16582, 22664, 16677, 18436, 16642, 16396, 16405, 16604, 16391, 19892, 16396, 16405, 16392, 16704, 16641, 19723, 21528, 35911, 64248, 19423, 16672, 18295, 20483, 24720, 16741, 16641, 49009, 21348, 19034, 16641, 48736, 16785, 43749, 17160, 18814, 16672, 24438, 40297, 16725, 16674, 24438, 17094, 36399, 16604, 16443, 16442, 16442, 16415, 16417, 16400, 16444, 16396, 16442, 16415, 16417, 16406, 16444, 16443, 16444, 16397, 28676, 16469, 16895, 19415, 16673, 27021, 16396, 16405, 16769, 23850, 16715, 35648, 16815, 22270, 20609, 16785, 23304, 24171, 16815, 19705, 62080, 16395, 35815, 16443, 16390, 16466, 20062, 16395, 45198, 16443, 16390, 16466, 20062, 16395, 43384, 16783, 62025, 16395, 59635, 24957, 16674, 29075, 16604, 16443, 16442, 16442, 16415, 16417, 16407, 16444, 16396, 16442, 16415, 16417, 16400, 16401, 16444, 16443, 16444, 16397, 27903, 16395, 17301, 16396, 20524, 23659, 16673, 35627, 16785, 41820, 63265, 16671, 27021, 16396, 16405, 16741, 17204, 16741, 17030, 16396, 53726, 16673, 27021, 16396, 16405, 32995, 16809, 27021, 16396, 16405, 16398, 16466, 19892, 16396, 16405, 16433, 34951, 22036, 17474, 16671, 16641, 28456, 36942, 16673, 24438, 42436, 19208, 16674, 16671, 54445, 18554, 16604, 16443, 16442, 16442, 16415, 16417, 16405, 16444, 16395, 16442, 16415, 16417, 16400, 16402, 16444, 16396, 16442, 16415, 16417, 16400, 16405, 16444, 16443, 16444, 16397, 23466, 16395, 42492, 16673, 27021, 16396, 16405, 32995, 16785, 16673, 27021, 16396, 16405, 20825, 19302, 16704, 22816, 16671, 18658, 16641, 21197, 21084, 16715, 16647, 19165, 16785, 28354, 16673, 24438, 40297, 16725, 16674, 26230, 24438, 17094, 36399, 16397, 17170, 16704, 22148, 16809, 46372, 24438, 40297, 16725, 29983, 16809, 38480, 31576, 22193, 17135, 51020, 16673, 16641, 41685, 57430, 34567, 17647, 27021, 16396, 16405, 32174, 16604, 16443, 16442, 16442, 16415, 16417, 16400, 16406, 16444, 16443, 16444, 16397, 26713, 16395, 16647, 18174, 17816, 16673, 22163, 16671, 47115, 27021, 16396, 16405, 20825, 16604, 16393, 16642, 36523, 16393, 16770, 16604, 16393, 16642, 37154, 16393, 23317, 18701, 17099, 16734, 16914, 20381, 16396, 17022, 17787, 42436, 16674, 24438, 24861, 16802, 21454, 16604, 16443, 16442, 16442, 16415, 16417, 16400, 16407, 16444, 16396, 16442, 16415, 16417, 16401, 16401, 16444, 16443, 16444, 16397, 16582, 16582, 38778, 16689, 63265, 16395, 16647, 17736, 18043, 17002, 18155, 18383, 16673, 16647, 20483, 16395, 20023, 16672, 18723, 16671, 19705, 24146, 16673, 29243, 16674, 25917, 20483, 54563, 16734, 16641, 22570, 18365, 16741, 22956, 22884, 17151, 20650, 16604, 16443, 16442, 16442, 16415, 16417, 16401, 16402, 16444, 16443, 16444, 16397, 17170, 44465, 22956, 22884, 17151, 20650, 25290, 61754, 16395, 28073, 16674, 55289, 19696, 17789, 23175, 19690, 31395, 22089, 16395, 19800, 20825, 16673, 18043, 17002, 44110, 40050, 22036, 16674, 16647, 36942, 16673, 16764, 16396, 42436, 55157, 17789, 27021, 16396, 16405, 16604, 16443, 16442, 16442, 16415, 16417, 16401, 16403, 16444, 16395, 16442, 16415, 16417, 16401, 16404, 16444, 16443, 16444, 16397, 33904, 20286, 16673, 32995, 31184, 16769, 17914, 16671, 26421, 16647, 41820, 17288, 19828, 27021, 16396, 16405, 39438, 20825, 19565, 23674, 51705, 32995, 33582, 16604, 16443, 16442, 16442, 16415, 16417, 16401, 16405, 16444, 16443, 16444, 16397, 17544, 18185, 16395, 16897, 24014, 19465, 44306, 20166, 16870, 16604, 16391, 16427, 19725, 16392, 63345, 16647, 27021, 16396, 16400, 32174, 16396, 41792, 43441, 16604, 16391, 20678, 28197, 16392, 16396, 32435, 31133, 17789, 16687, 23898, 16417, 43441, 16674, 22497, 21348, 29587, 16417, 16604, 16391, 33573, 16396, 23898, 16417, 16392, 16604, 16443, 16442, 16442, 16415, 16417, 16401, 16406, 16444, 16443, 16444, 16397, 23638, 38258, 17585, 16673, 27021, 16396, 16405, 24722, 23322, 16769, 55157, 17274, 16741, 27242, 47778, 38981, 21348, 26529, 16395, 17361, 16677, 18436, 16642, 16396, 16400, 28580, 16395, 16709, 32176, 21990, 16727, 16604, 16391, 19445, 16428, 16392, 16674, 16827, 33285, 31432, 57659, 21348, 16604, 16391, 16427, 21520, 16392, 16604, 16443, 16442, 16442, 16415, 16417, 16401, 16407, 16444, 16396, 16442, 16415, 16417, 16402, 16399, 16444, 16443, 16444, 16397, 42566, 16395, 26559, 16428, 16674, 16790, 21520, 22366, 18226, 16734, 27021, 16396, 16405, 16671, 16647, 17396, 64248, 17797, 16397, 18708, 27021, 16396, 16405, 16396, 18926, 55157, 16769, 29781, 16809, 17655, 16673, 29921, 34756, 50742, 16695, 16463, 16400, 16402, 16399, 16671, 37820, 23273, 20825, 19565, 16832, 28197, 16398, 37237, 16604, 16391, 26208, 16730, 43441, 16398, 52330, 56773, 17987, 16674, 18039, 17662, 16673, 37732, 16392, 16674, 46696, 16426, 16604, 16391, 18889, 21886, 16396, 47636, 22036, 43441, 16392, 62523, 18891, 16672, 16641, 43505, 16396, 23898, 16417, 16396, 32435, 22305, 16604, 16443, 16442, 16442, 16415, 16417, 16402, 16400, 16444, 16395, 16442, 16415, 16417, 16402, 16401, 16444, 16443, 16444, 16397, 23121, 16395, 33210, 16673, 17274, 54098, 27021, 16396, 16405, 16396, 32402, 23273, 20825, 16809, 18229, 27732, 20007, 41338, 19522, 16641, 18230, 21084, 16715, 30634, 16647, 37073, 16785, 18613, 47682, 16673, 22956, 22884, 17151, 20650, 16674, 16395, 29856, 16395, 24745, 54445, 18155, 18554, 16397, 16582, 16582, 17071, 16647, 17875, 18077, 16395, 16647, 17005, 16396, 16674, 26043, 16396, 32435, 36602, 16673, 27021, 16396, 16405, 20825, 16809, 26559, 16428, 16763, 29781, 16672, 18206, 16876, 16402, 16403, 16402, 37758, 20740, 19487, 16397, 58194, 16395, 17038, 28758, 31883, 16958, 45203, 16715, 57659, 19938, 16709, 26559, 16428, 16396, 31263, 27021, 16396, 16405, 20825, 16397, 17119, 21766, 25069, 21126, 28937, 34396, 16671, 16647, 22635, 17568, 16673, 29452, 16462, 53470, 22640, 18339, 16604, 16391, 23328, 16426, 16392, 16397, 18708, 16751, 28197, 28937, 16958, 17914, 16671, 38875, 16647, 62183, 16396, 31263, 27021, 16396, 16405, 20825, 16672, 20618, 27029, 16674, 19936, 41820, 63265, 16741, 17204, 16741, 16672, 16667, 29243, 16783, 30566, 22239, 27029, 18528, 16604, 16393, 16642, 37154, 16393, 16397, 24229, 16395, 16647, 26592, 27732, 25013, 16673, 16751, 28197, 28937, 56584, 16734, 18474, 32995, 31184, 16673, 26559, 16428, 16396, 31263, 21686, 17333, 23156, 58606, 16763, 28060, 16397, 17119, 26157, 16641, 37727, 42492, 16809, 16751, 28197, 28937, 16673, 16647, 26559, 16428, 16396, 42669, 50485, 16673, 42576, 16402, 16767, 17451, 16856, 16604, 16406, 16401, 16406, 16395, 16944, 28189, 42576, 16402, 26570, 16671, 16647, 43505, 16396, 23898, 16417, 59043, 16664, 16405, 16404, 16397, 16582, 16582, 41751, 16582, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16582, 16582, 46690, 28031, 16673, 20643, 16856, 41820, 63265, 16582, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16582, 16582, 22223, 16671, 16790, 54709, 17976, 16604, 16443, 16442, 16442, 16415, 16417, 16402, 16402, 16444, 16443, 16444, 16395, 41820, 17288, 16820, 16396, 22837, 20618, 18155, 28031, 16958, 18358, 16734, 35648, 16673, 40868, 25878, 16674, 33153, 16674, 16958, 26447, 16672, 52410, 17100, 45188, 16443, 16390, 16466, 26252, 36008, 16443, 16390, 16466, 22767, 16604, 16391, 33021, 20321, 16392, 16715, 16604, 16402, 16402, 17897, 16767, 16604, 16402, 16406, 21896, 16418, 16672, 16641, 17777, 17886, 25203, 16734, 16604, 16408, 16404, 16388, 18398, 16398, 16404, 16388, 23593, 16477, 16401, 16477, 16397, 16582, 16582, 29270, 19995, 16582, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16582, 16582, 16853, 18206, 37758, 20740, 18155, 18089, 16876, 16402, 16403, 16402, 16604, 16443, 16442, 16442, 16415, 16417, 16402, 16403, 16444, 16443, 16444, 16763, 26447, 16672, 30219, 20321, 23858, 16604, 16400, 16399, 16388, 49242, 16660, 57232, 33651, 16674, 16604, 16405, 16399, 50605, 16398, 18953, 24617, 33330, 27225, 16604, 16391, 35152, 16654, 27909, 16395, 16759, 17555, 37357, 16395, 21637, 16392, 16767, 16604, 16402, 16406, 21896, 16418, 16672, 16641, 16604, 16400, 16399, 16388, 23593, 16477, 16401, 16477, 16649, 23325, 17752, 16397, 16582, 16582, 16427, 16919, 52020, 44306, 20166, 16870, 16604, 16391, 16427, 19725, 16392, 16396, 31263, 29243, 16783, 30566, 22239, 18528, 16582, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16582, 16582, 16416, 18804, 17679, 16673, 16604, 16401, 16399, 16719, 16404, 16406, 16398, 16417, 16405, 25878, 16767, 16647, 18702, 16673, 16604, 16404, 18355, 16734, 16667, 20808, 18370, 20007, 16673, 16604, 16401, 16401, 16695, 16671, 16604, 16402, 16399, 16695, 16763, 28060, 16672, 16811, 18077, 16397, 16727, 16880, 16958, 32965, 25345, 16671, 16604, 16401, 19318, 16673, 18123, 25878, 16604, 16391, 16642, 24042, 16673, 55348, 16785, 62183, 16410, 16686, 16604, 16412, 16604, 16405, 17492, 16392, 16674, 16604, 16400, 17585, 16673, 62183, 16396, 36532, 25878, 17055, 16396, 16642, 43729, 16734, 28758, 16751, 28197, 16396, 16401, 16604, 16391, 16461, 16604, 16412, 16604, 16407, 16392, 16397, 44115, 16958, 41368, 16767, 16647, 49114, 32267, 28219, 42789, 16673, 16647, 18059, 16673, 55582, 16397, 16772, 18077, 16763, 22782, 16809, 16647, 19142, 60460, 17336, 30613, 58582, 55582, 16395, 31010, 16604, 16443, 16386, 19660, 16437, 16604, 16401, 16407, 16398, 16399, 16406, 16709, 19196, 16604, 16400, 16403, 16395, 16604, 16401, 16399, 16399, 16406, 16397, 17999, 37820, 16783, 30566, 22239, 16674, 29243, 33167, 16395, 16604, 16400, 16403, 25878, 16958, 41008, 30300, 16874, 49123, 16834, 16604, 16391, 16456, 16397, 16463, 16397, 16392, 16734, 16604, 16400, 26785, 62183, 16604, 16391, 22112, 36722, 16604, 16399, 16404, 16404, 16409, 16417, 16404, 16392, 16398, 27114, 18370, 20007, 16397, 21206, 16856, 31289, 17226, 16397, 16463, 16397, 16763, 17405, 16741, 18123, 19165, 16604, 16391, 16461, 16604, 16412, 16604, 16405, 16392, 16397, 18851, 16889, 16751, 28197, 16396, 16401, 16763, 17055, 16396, 16642, 43729, 17226, 16397, 16463, 16397, 16671, 16604, 16407, 62183, 16396, 36532, 25878, 16767, 16641, 24734, 16673, 16604, 16400, 16399, 26785, 16398, 27114, 18370, 20007, 16397, 21821, 18626, 17498, 19165, 25878, 16958, 50465, 16809, 23593, 16477, 16401, 16477, 16642, 23021, 16725, 16674, 24588, 23375, 16815, 58150, 16730, 16674, 45703, 16741, 17204, 16741, 30285, 16958, 21789, 16741, 20101, 18242, 16397, 16582, 16582, 39591, 20483, 23375, 16715, 22565, 31729, 16396, 41070, 16958, 21789, 16815, 16604, 16405, 16604, 16396, 16604, 16407, 21617, 16972, 17585, 16397, 18916, 27489, 16673, 16647, 20483, 16395, 16647, 24588, 23375, 16958, 65286, 28074, 16734, 22161, 21306, 55348, 16674, 21568, 30785, 16709, 24052, 19420, 16397, 39516, 17345, 16674, 58150, 16730, 16958, 21789, 16395, 42233, 16674, 29407, 31296, 16672, 23764, 36867, 16397, 20586, 18716, 16958, 25499, 16767, 16604, 16396, 16407, 16399, 21896, 16418, 18015, 31364, 32225, 16397, 62882, 24588, 23375, 16958, 18826, 21886, 17521, 16672, 31364, 16685, 18720, 27671, 16604, 16391, 30234, 17752, 16472, 16674, 32376, 16744, 16395, 16759, 17569, 16826, 16395, 21637, 16392, 17655, 20245, 18933, 17129, 46316, 48105, 16604, 16391, 16451, 19143, 18104, 16673, 16604, 16400, 16397, 16403, 25737, 16410, 18718, 26675, 16775, 16395, 20024, 25198, 16652, 16395, 21637, 16392, 16397, 16582, 16582, 19231, 16647, 17291, 16673, 16647, 21378, 19546, 23375, 16958, 23980, 16672, 22161, 16396, 36402, 16665, 38755, 16674, 52220, 16665, 17989, 16647, 17718, 16604, 16401, 16399, 17414, 16604, 16391, 16400, 16399, 17414, 16395, 16604, 16400, 16404, 16399, 16399, 32317, 16695, 16395, 16604, 16403, 21896, 16418, 16392, 16397, 17862, 28122, 23375, 16958, 16813, 19721, 21514, 17065, 50598, 16673, 16604, 16404, 16399, 25644, 16459, 16395, 22239, 31296, 16674, 25499, 16767, 16604, 16396, 16407, 16399, 21896, 16418, 18015, 19335, 16397, 16582, 16582, 44751, 26028, 17446, 16396, 18489, 38331, 16582, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16582, 16582, 31131, 31364, 16673, 47745, 19487, 16674, 18826, 21886, 17521, 27029, 20483, 24588, 23375, 16763, 27894, 17655, 31364, 32225, 22121, 16604, 16443, 16385, 16429, 20234, 16462, 63673, 31364, 20448, 16443, 16385, 16815, 20881, 17752, 16472, 16674, 32376, 16744, 16397, 31364, 30421, 16763, 23975, 16809, 20768, 23476, 16701, 21149, 22700, 63755, 16604, 16391, 16429, 20280, 41763, 16604, 16401, 16399, 16399, 16399, 16395, 18718, 26675, 16775, 16395, 20024, 25198, 16652, 16395, 21637, 16392, 16397, 30308, 31364, 16604, 16391, 16399, 16397, 16404, 50605, 16392, 16763, 17333, 26730, 16671, 63338, 17655, 19498, 16756, 19367, 23991, 16674, 39589, 16462, 16396, 16451, 16435, 38206, 16604, 16391, 35152, 16654, 27909, 16395, 16759, 17555, 37357, 16395, 21637, 16392, 16397, 35900, 26028, 17446, 16396, 18489, 38331, 16763, 20888, 16734, 18917, 26104, 40400, 37614, 26062, 20779, 38331, 23397, 20144, 16604, 16391, 16432, 16456, 23315, 16395, 16751, 17037, 16652, 16395, 21637, 16392, 17655, 30517, 18431, 17416, 16604, 16402, 16399, 16399, 16399, 17434, 16604, 16391, 25502, 16449, 19256, 16395, 27377, 16395, 20727, 16392, 16397, 27890, 20825, 16763, 43755, 16671, 16647, 20825, 16673, 17567, 21178, 24507, 29921, 57209, 54203, 16604, 16402, 16396, 44810, 16758, 16774, 61194, 16954, 16604, 16391, 16422, 18987, 43611, 16392, 16395, 32714, 16396, 16405, 16396, 44810, 16758, 16774, 61194, 16954, 16604, 16391, 16422, 16405, 22203, 16423, 16392, 16674, 21830, 18289, 25463, 16856, 16396, 19788, 63325, 27689, 16658, 16949, 16786, 18161, 44574, 16954, 16604, 16391, 16423, 20714, 16435, 16392, 16397, 28277, 16756, 16715, 33738, 16431, 16604, 16391, 16404, 16443, 16390, 16396, 55774, 20138, 16418, 20138, 16435, 31488, 51774, 17841 ]