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

Dataset card Viewer Files Community
1
Search is not available for this dataset
input_ids
sequencelengths
2.05k
2.05k
[ 0, 16400, 16397, 35453, 16604, 16474, 16386, 19810, 16400, 16396, 18894, 16646, 17057, 16396, 16400, 16406, 16396, 16399, 16400, 16400, 16405, 16403, 16476, 16582, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16582, 16582, 28768, 24725, 23294, 16641, 50259, 16673, 56484, 18813, 20671, 16721, 28189, 16858, 22797, 16673, 18950, 16673, 17417, 18443, 16671, 16647, 27165, 26271, 16673, 26600, 17534, 16604, 16443, 16442, 16442, 16415, 16417, 16400, 16396, 18894, 16646, 17057, 16396, 16400, 16406, 16396, 16399, 16400, 16400, 16405, 16403, 16444, 16443, 16444, 16397, 19218, 16396, 21670, 18950, 16673, 17417, 16604, 16391, 28315, 16432, 16462, 16427, 16392, 27475, 16671, 16641, 22399, 16396, 29359, 20174, 16673, 18950, 16673, 17417, 16395, 16944, 16843, 16703, 22499, 16809, 40020, 16785, 27204, 16397, 23121, 16395, 23405, 16673, 28516, 16432, 16462, 16427, 16704, 16667, 17889, 24637, 20165, 16671, 26828, 20562, 20062, 19083, 16715, 18873, 16734, 26600, 16395, 17789, 20062, 18067, 16395, 18334, 25939, 16673, 32126, 16395, 16674, 29151, 16674, 34792, 16673, 32858, 16604, 16443, 16442, 16442, 16415, 16417, 16401, 16396, 18894, 16646, 17057, 16396, 16400, 16406, 16396, 16399, 16400, 16400, 16405, 16403, 16444, 16443, 16444, 16397, 16582, 16582, 17861, 59151, 16798, 16704, 21365, 16741, 16647, 21057, 16673, 25917, 19527, 21160, 63924, 16734, 16641, 20618, 20062, 16604, 16443, 16442, 16442, 16415, 16417, 16402, 16396, 18894, 16646, 17057, 16396, 16400, 16406, 16396, 16399, 16400, 16400, 16405, 16403, 16444, 16443, 16444, 16397, 35275, 16734, 26600, 18143, 16807, 19705, 65246, 17186, 16395, 17789, 42814, 16395, 42498, 16785, 34147, 16395, 24068, 50481, 16699, 31432, 16395, 25917, 33212, 20062, 16395, 16674, 36632, 20062, 16395, 16858, 16673, 16944, 16843, 19032, 16647, 20475, 16390, 16466, 28516, 16432, 16462, 16427, 16604, 16443, 16442, 16442, 16415, 16417, 16403, 16396, 18894, 16646, 17057, 16396, 16400, 16406, 16396, 16399, 16400, 16400, 16405, 16403, 16444, 16395, 16442, 16415, 16417, 16404, 16396, 18894, 16646, 17057, 16396, 16400, 16406, 16396, 16399, 16400, 16400, 16405, 16403, 16444, 16443, 16444, 16397, 40303, 16395, 16647, 19083, 16673, 25917, 19527, 16672, 18873, 16734, 26600, 16868, 20763, 16815, 16641, 18314, 16709, 28516, 16432, 16462, 16427, 16397, 16582, 16582, 32991, 16456, 16779, 47176, 19019, 28227, 16604, 16391, 23965, 16421, 16392, 16395, 16944, 16704, 21365, 16741, 16647, 22250, 21765, 16673, 27312, 25043, 17560, 16641, 47256, 22271, 17709, 16395, 16872, 16992, 17494, 16671, 19238, 17647, 25917, 24720, 16674, 39781, 18554, 16815, 17310, 24720, 16604, 16443, 16442, 16442, 16415, 16417, 16405, 16396, 18894, 16646, 17057, 16396, 16400, 16406, 16396, 16399, 16400, 16400, 16405, 16403, 16444, 16395, 16442, 16415, 16417, 16406, 16396, 18894, 16646, 17057, 16396, 16400, 16406, 16396, 16399, 16400, 16400, 16405, 16403, 16444, 16443, 16444, 16397, 17544, 18185, 16395, 18846, 25703, 16421, 16704, 19970, 16734, 19251, 23699, 16673, 60435, 16674, 30174, 16672, 23425, 16674, 20985, 22710, 16604, 16443, 16442, 16442, 16415, 16417, 16407, 16396, 18894, 16646, 17057, 16396, 16400, 16406, 16396, 16399, 16400, 16400, 16405, 16403, 16444, 16443, 16444, 16397, 19214, 19831, 16807, 28152, 16647, 24426, 17415, 19902, 19962, 16674, 28516, 16432, 16462, 16427, 16672, 21374, 23936, 16395, 16741, 17204, 16741, 17310, 16734, 25917, 24720, 16395, 23673, 19508, 22144, 16715, 17490, 19318, 16604, 16443, 16442, 16442, 16415, 16417, 16408, 16396, 18894, 16646, 17057, 16396, 16400, 16406, 16396, 16399, 16400, 16400, 16405, 16403, 16444, 16395, 16442, 16415, 16417, 16400, 16399, 16396, 18894, 16646, 17057, 16396, 16400, 16406, 16396, 16399, 16400, 16400, 16405, 16403, 16444, 16443, 16444, 16397, 16582, 16582, 41771, 19902, 19962, 16604, 16391, 21101, 16392, 16395, 17827, 19761, 16872, 16992, 20164, 16671, 16647, 18774, 17415, 25703, 16421, 16674, 28516, 16432, 16462, 16427, 16397, 21604, 18147, 16672, 16811, 18124, 16704, 20236, 16395, 16647, 17788, 19591, 23649, 16641, 19508, 18774, 17415, 25703, 16421, 16674, 28516, 16432, 16462, 16427, 16672, 18873, 16734, 25917, 16674, 37067, 24720, 16604, 16443, 16442, 16442, 16415, 16417, 16400, 16400, 16396, 18894, 16646, 17057, 16396, 16400, 16406, 16396, 16399, 16400, 16400, 16405, 16403, 16444, 16443, 16444, 16397, 16875, 20985, 23936, 16395, 18919, 16395, 54031, 30742, 25703, 16421, 16843, 16703, 18882, 18443, 16671, 16647, 21007, 19359, 16671, 17073, 27317, 16395, 17274, 16741, 31807, 21131, 16410, 24875, 26168, 16410, 18636, 16673, 17005, 16395, 18340, 19297, 39079, 16679, 16410, 16674, 31878, 16397, 32951, 20335, 16395, 19831, 16807, 17494, 16721, 25703, 16421, 16843, 16703, 23381, 16734, 28052, 26656, 16815, 39503, 21715, 17730, 34587, 16604, 16443, 16442, 16442, 16415, 16417, 16400, 16401, 16396, 18894, 16646, 17057, 16396, 16400, 16406, 16396, 16399, 16400, 16400, 16405, 16403, 16444, 16395, 16442, 16415, 16417, 16400, 16402, 16396, 18894, 16646, 17057, 16396, 16400, 16406, 16396, 16399, 16400, 16400, 16405, 16403, 16444, 16443, 16444, 16397, 17119, 16807, 21216, 19628, 16721, 17975, 16396, 17345, 39389, 16396, 19338, 38483, 16673, 50601, 16779, 47176, 19019, 28227, 16604, 16391, 16452, 23965, 16421, 16392, 16843, 21071, 16741, 16641, 62531, 19349, 16715, 52661, 16647, 18813, 16673, 30174, 16815, 16858, 16674, 18462, 22556, 16672, 20985, 26814, 22710, 16604, 16443, 16442, 16442, 16415, 16417, 16400, 16403, 16396, 18894, 16646, 17057, 16396, 16400, 16406, 16396, 16399, 16400, 16400, 16405, 16403, 16444, 16443, 16444, 16397, 16582, 16582, 64466, 20487, 17586, 16672, 18764, 23571, 22130, 16721, 16641, 20987, 16673, 18873, 16734, 26600, 16807, 16917, 16785, 16922, 65246, 17186, 16944, 16843, 19291, 28516, 16432, 16462, 16427, 16395, 17789, 34147, 16395, 42814, 16395, 24068, 16717, 33671, 17877, 43858, 16395, 16674, 18208, 16604, 16443, 16442, 16442, 16415, 16417, 16400, 16404, 16396, 18894, 16646, 17057, 16396, 16400, 16406, 16396, 16399, 16400, 16400, 16405, 16403, 16444, 16443, 16444, 16397, 19218, 31585, 16395, 17789, 25719, 16674, 25703, 16421, 16395, 18715, 17425, 28159, 16647, 19032, 16673, 65246, 17186, 16709, 28516, 16432, 16462, 16427, 18493, 17213, 18873, 16397, 17999, 16647, 17514, 16673, 17038, 19461, 16395, 18919, 16395, 17028, 18722, 19831, 16807, 28152, 16647, 35853, 17160, 17717, 16673, 25703, 16421, 16709, 16647, 22144, 17415, 65246, 17186, 16674, 28516, 16432, 16462, 16427, 16672, 18873, 16734, 26600, 16672, 18764, 23571, 16397, 23466, 16395, 16742, 28020, 18515, 16693, 23965, 16421, 35853, 17099, 16647, 19032, 16673, 65246, 17186, 16709, 28516, 16432, 16462, 16427, 16672, 20985, 26814, 22710, 16734, 18383, 16396, 16401, 26600, 16397, 16582, 16582, 16401, 16397, 35703, 16674, 33486, 16604, 16474, 16386, 19810, 16401, 16396, 18894, 16646, 17057, 16396, 16400, 16406, 16396, 16399, 16400, 16400, 16405, 16403, 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, 16401, 16397, 16400, 16397, 26282, 22933, 16674, 41988, 16604, 16474, 16386, 19810, 16401, 29200, 16400, 16396, 18894, 16646, 17057, 16396, 16400, 16406, 16396, 16399, 16400, 16400, 16405, 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, 16396, 16396, 16396, 16582, 16582, 16853, 19532, 16396, 50951, 17586, 17405, 16715, 16811, 18077, 16958, 24772, 16815, 16647, 23571, 18611, 19218, 16674, 41000, 54342, 48411, 17129, 16604, 16391, 16426, 43055, 18013, 18311, 16392, 25833, 16674, 16965, 16395, 16944, 16769, 31918, 33692, 16721, 16958, 22546, 16815, 16604, 16401, 16399, 16399, 16407, 18015, 16604, 16401, 16399, 16400, 16400, 16672, 18764, 23571, 16397, 16711, 23435, 23289, 16673, 16647, 22309, 32696, 18197, 16704, 18125, 26350, 16604, 16443, 16442, 16442, 16415, 16417, 16400, 16405, 16396, 18894, 16646, 17057, 16396, 16400, 16406, 16396, 16399, 16400, 16400, 16405, 16403, 16444, 16395, 16442, 16415, 16417, 16400, 16406, 16396, 18894, 16646, 17057, 16396, 16400, 16406, 16396, 16399, 16400, 16400, 16405, 16403, 16444, 16443, 16444, 16397, 17544, 16647, 17788, 18077, 16395, 16742, 25241, 21578, 16641, 18804, 16673, 16604, 16401, 16406, 16404, 16406, 22710, 26661, 16604, 16405, 16399, 17202, 16674, 20985, 16815, 17310, 16929, 29616, 16672, 16647, 16604, 16401, 16399, 16399, 16407, 16396, 16396, 16401, 16399, 16400, 16400, 16908, 43055, 18013, 18311, 25833, 16674, 16965, 16397, 17119, 17177, 33553, 16604, 16400, 16402, 16407, 16405, 20470, 17172, 17028, 32320, 17586, 16958, 18125, 21370, 18370, 25989, 16604, 16391, 16393, 16461, 16393, 16604, 16412, 16604, 16402, 16404, 16401, 16392, 16395, 38138, 18544, 18960, 16604, 16391, 16393, 16461, 16393, 16604, 16412, 16604, 16406, 16408, 16408, 16392, 16395, 25719, 16604, 16391, 16393, 16461, 16393, 16604, 16412, 16604, 16400, 16406, 16392, 16395, 16674, 28516, 16432, 16462, 16427, 16604, 16391, 16393, 16461, 16393, 16604, 16412, 16604, 16401, 16400, 16407, 16392, 16397, 40303, 16395, 16641, 18804, 16673, 16604, 16400, 16402, 16406, 16400, 20985, 22710, 16734, 26600, 16604, 16391, 16405, 16399, 16403, 18102, 16410, 16604, 16406, 16405, 16406, 18130, 16392, 16958, 19618, 16672, 16647, 18551, 17586, 28830, 16397, 16772, 21057, 16673, 26600, 16763, 21487, 16734, 16641, 18171, 16396, 47344, 41510, 16721, 18666, 18515, 16647, 22381, 16955, 18021, 19151, 16641, 25928, 16673, 26600, 16815, 16641, 29397, 16397, 16772, 27533, 18603, 19605, 16673, 18206, 18077, 28112, 16674, 22782, 16647, 18077, 25022, 22381, 16604, 16391, 36851, 16426, 16436, 16604, 16401, 16399, 16400, 16406, 16396, 16399, 16405, 16396, 16399, 16399, 16408, 16392, 16397, 16875, 27567, 26535, 16763, 21715, 16815, 16858, 22381, 16672, 16647, 18077, 16397, 16582, 16582, 16401, 16397, 16401, 16397, 26282, 33003, 19248, 16604, 16474, 16386, 19810, 16401, 29200, 16401, 16396, 18894, 16646, 17057, 16396, 16400, 16406, 16396, 16399, 16400, 16400, 16405, 16403, 16476, 16582, 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, 16604, 16401, 16397, 16401, 16397, 16400, 16397, 34764, 16673, 28516, 16432, 16462, 16427, 16604, 16391, 16419, 24200, 65081, 16395, 16966, 16392, 16604, 16474, 16386, 19810, 16401, 29200, 16401, 29200, 16400, 16396, 18894, 16646, 17057, 16396, 16400, 16406, 16396, 16399, 16400, 16400, 16405, 16403, 16476, 16582, 16582, 28315, 16432, 16462, 16427, 16763, 29998, 16734, 16647, 18275, 16432, 16462, 16427, 17585, 16395, 16944, 25438, 16673, 16641, 17730, 16396, 25037, 48325, 17434, 16604, 16391, 47265, 16396, 16404, 16419, 16392, 16674, 16641, 22065, 60698, 21434, 16604, 16391, 47265, 16396, 16437, 18327, 16392, 16397, 16772, 59582, 16396, 16404, 16419, 21615, 16647, 17743, 16673, 18171, 16396, 47344, 19153, 16672, 18514, 30369, 16409, 31878, 16395, 18171, 16396, 20771, 16395, 23299, 19811, 16395, 18389, 16398, 20129, 26225, 16395, 16674, 24954, 16398, 24199, 18324, 16604, 16443, 16442, 16442, 16415, 16417, 16400, 16407, 16396, 18894, 16646, 17057, 16396, 16400, 16406, 16396, 16399, 16400, 16400, 16405, 16403, 16444, 16395, 16442, 16415, 16417, 16400, 16408, 16396, 18894, 16646, 17057, 16396, 16400, 16406, 16396, 16399, 16400, 16400, 16405, 16403, 16444, 16443, 16444, 16397, 22371, 16673, 16647, 30369, 16704, 29998, 18138, 16709, 16641, 18494, 18283, 16734, 17567, 19208, 19415, 16604, 16391, 19355, 19153, 16395, 16991, 19153, 16395, 16674, 20169, 19153, 16392, 16397, 18411, 18896, 16709, 16647, 59582, 16396, 16404, 16419, 21304, 18898, 16815, 31949, 16399, 16397, 16400, 16406, 16400, 16671, 16604, 16400, 16395, 17187, 16604, 16400, 26078, 17028, 19153, 16672, 16998, 16673, 16647, 18514, 30369, 16395, 23020, 26078, 18554, 16395, 16674, 20809, 19795, 24396, 16641, 17730, 20584, 21312, 17032, 18554, 16397, 24123, 16395, 18873, 17556, 16914, 17730, 20584, 16734, 16647, 59582, 16396, 16437, 18327, 16395, 16944, 25290, 16641, 16965, 18327, 28474, 16815, 16604, 16399, 16604, 16391, 16470, 48397, 40997, 16925, 17730, 16392, 16671, 16604, 16400, 16399, 16399, 16604, 16391, 27608, 40997, 16925, 17730, 16392, 16604, 16443, 16442, 16442, 16415, 16417, 16400, 16407, 16396, 18894, 16646, 17057, 16396, 16400, 16406, 16396, 16399, 16400, 16400, 16405, 16403, 16444, 16443, 16444, 16397, 16582, 16582, 16386, 16386, 16386, 16604, 16401, 16397, 16401, 16397, 16401, 16397, 34764, 16673, 17265, 59151, 17186, 16604, 16391, 57204, 65081, 16395, 18126, 16392, 16604, 16474, 16386, 19810, 16401, 29200, 16401, 29200, 16401, 16396, 18894, 16646, 17057, 16396, 16400, 16406, 16396, 16399, 16400, 16400, 16405, 16403, 16476, 16582, 16582, 59822, 16958, 18666, 16980, 16873, 16955, 18021, 16992, 28378, 16809, 16641, 29397, 16734, 16998, 16673, 16647, 18211, 19428, 20249, 16391, 16466, 16392, 16409, 55861, 20122, 16395, 42814, 16395, 18544, 20062, 16604, 16391, 16861, 17406, 58385, 60430, 16839, 16785, 16667, 39162, 16392, 16395, 29075, 16395, 42344, 16395, 16674, 16398, 16658, 25917, 40956, 20062, 16397, 16582, 16582, 16386, 16386, 16386, 16604, 16401, 16397, 16401, 16397, 16402, 16397, 23666, 26602, 16673, 23385, 16456, 16779, 47176, 19019, 43443, 16604, 16391, 24393, 59397, 16395, 16727, 16392, 16604, 16474, 16386, 19810, 16401, 29200, 16401, 29200, 16402, 16396, 18894, 16646, 17057, 16396, 16400, 16406, 16396, 16399, 16400, 16400, 16405, 16403, 16476, 16582, 16582, 27783, 16396, 17345, 39389, 16396, 19338, 16693, 23965, 16421, 16763, 25722, 16741, 16917, 16396, 28993, 25442, 21765, 16673, 27312, 25043, 16604, 16391, 42979, 16477, 16401, 54812, 16477, 16392, 16672, 21932, 16673, 37067, 59801, 16604, 16391, 59296, 16466, 16392, 16395, 16672, 25828, 16734, 21216, 19074, 24218, 16604, 16443, 16442, 16442, 16415, 16417, 16400, 16402, 16396, 18894, 16646, 17057, 16396, 16400, 16406, 16396, 16399, 16400, 16400, 16405, 16403, 16444, 16443, 16444, 16409, 16582, 16582, 25071, 16647, 32200, 16958, 25388, 16395, 22381, 16958, 30103, 17065, 18229, 16604, 16391, 25293, 16765, 16604, 16401, 16404, 16388 ]
[ 0, 16396, 16396, 16396, 16582, 38841, 16409, 16604, 16390, 17507, 21334, 17587, 26426, 16647, 18171, 16396, 40622, 20814, 37488, 16674, 28667, 20570, 16673, 16647, 38643, 35087, 16604, 16391, 16456, 16397, 16452, 16397, 16395, 16647, 23850, 19101, 16673, 16647, 27599, 43506, 16392, 16672, 17049, 17545, 19009, 16767, 16761, 23366, 27596, 16397, 20195, 16742, 17393, 16721, 16647, 46565, 18918, 19924, 34734, 16709, 16647, 18171, 16396, 40622, 20814, 37488, 16769, 37873, 16809, 16647, 36437, 16671, 16647, 34888, 19509, 23052, 24892, 16397, 17170, 20732, 16704, 16672, 18545, 16734, 16647, 17204, 16396, 45613, 20927, 38280, 16673, 19924, 34734, 16709, 48418, 20962, 16785, 56142, 16397, 17119, 18613, 19502, 26132, 16721, 16647, 59468, 16673, 16647, 28667, 20570, 20516, 16466, 16647, 20927, 20937, 16673, 16647, 39715, 37488, 16395, 17187, 16647, 39715, 37488, 16704, 41476, 16671, 16647, 28667, 20570, 16674, 16647, 28460, 18960, 16715, 16641, 19609, 18898, 16673, 16647, 28460, 18960, 16674, 40085, 28697, 18325, 16647, 34888, 19509, 23052, 24892, 16397, 16390, 16582, 26371, 16409, 16582, 16396, 34514, 25065, 54895, 16702, 17905, 17519, 16582, 16396, 45316, 20489, 45219, 56344, 16582, 16449, 34289, 20147, 16409, 16582, 16396, 16604, 16390, 40622, 20814, 16443, 16446, 18516, 16451, 17113, 16397, 54690, 16390, 16582, 23718, 16409, 41594, 38280, 16673, 39715, 39311, 16674, 19101, 16673, 38643, 35087, 16673, 19009, 16767, 16761, 23366, 27596, 17131, 48418, 16582, 16396, 16396, 16396, 16582, 16582, 38194, 16582, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16582, 16582, 16393, 44192, 21454, 16393, 16673, 19009, 16767, 16761, 23366, 27596, 16395, 18331, 16452, 16397, 16454, 16397, 18331, 16746, 23337, 16942, 16395, 17058, 18362, 16395, 19094, 47805, 21346, 22584, 16395, 16674, 30083, 17260, 21024, 16395, 16769, 17889, 16672, 20252, 16674, 22945, 19000, 16604, 16442, 16415, 32815, 16444, 16397, 16875, 17259, 24010, 22089, 16395, 17213, 27596, 16769, 21883, 16671, 19924, 16604, 16391, 26514, 40417, 16395, 35996, 16395, 19104, 16397, 16392, 16674, 16647, 25486, 16673, 16604, 16894, 22996, 16661, 27596, 16385, 16704, 16673, 20854, 22228, 16715, 23295, 21003, 16604, 16442, 16415, 16459, 31836, 16444, 16397, 23466, 16395, 16986, 16704, 16641, 17109, 16671, 17967, 17072, 16647, 20734, 21454, 16769, 22499, 16809, 46565, 18918, 19924, 21454, 16673, 19009, 16767, 16761, 23366, 27596, 16397, 16582, 16582, 39740, 16395, 16647, 46565, 18918, 19924, 21454, 16673, 19009, 16767, 16761, 23366, 27596, 16807, 16992, 37079, 23954, 16674, 16728, 16872, 16992, 22130, 16721, 16647, 46565, 17595, 16673, 17274, 17612, 21663, 19258, 23825, 16804, 17097, 16709, 28460, 18960, 16850, 17027, 16709, 40085, 28697, 16673, 16647, 27596, 16604, 16442, 16415, 16465, 16643, 16723, 16399, 16410, 16604, 16415, 26338, 16400, 16410, 16604, 16415, 16465, 16643, 16723, 16400, 16410, 16604, 16415, 16465, 16643, 16723, 16401, 16410, 16604, 16415, 16465, 16643, 16723, 16402, 16410, 16604, 16415, 16465, 16643, 16723, 16403, 16410, 16604, 16415, 16465, 16643, 16723, 16404, 16410, 16604, 16415, 16465, 16643, 16723, 16405, 16410, 16604, 16415, 16465, 16643, 16723, 16406, 16410, 16604, 16415, 16465, 16643, 16723, 16407, 16410, 16604, 16415, 16465, 16643, 16723, 16408, 16410, 16604, 16415, 16465, 16643, 16723, 16400, 16399, 16410, 16604, 16415, 16465, 16643, 16723, 16400, 16400, 16410, 16604, 16415, 16465, 16643, 16723, 16400, 16401, 16410, 16604, 16415, 16465, 16643, 16723, 16400, 16402, 16444, 16397, 17426, 16647, 40085, 28697, 16604, 16387, 16443, 22853, 16387, 16704, 19251, 17032, 16647, 16859, 16396, 25582, 34888, 19509, 23052, 24892, 16604, 16387, 16443, 22853, 16446, 16425, 16387, 16395, 28800, 17731, 20962, 16704, 20101, 16809, 18422, 35328, 17060, 16604, 16442, 16415, 16465, 16643, 16723, 16399, 16410, 16604, 16415, 26338, 16400, 16444, 16785, 16738, 18410, 17082, 17060, 46565, 17595, 16604, 16442, 16415, 16465, 16643, 16723, 16400, 16410, 16604, 16415, 16465, 16643, 16723, 16401, 16410, 16604, 16415, 16465, 16643, 16723, 16402, 16410, 16604, 16415, 16465, 16643, 16723, 16403, 16410, 16604, 16415, 16465, 16643, 16723, 16404, 16444, 16604, 16391, 24199, 18028, 16709, 18515, 31239, 46198, 16915, 16704, 18650, 16785, 16804, 16392, 16397, 17426, 16647, 40085, 28697, 42192, 16647, 34888, 19509, 17411, 16604, 16391, 16387, 16443, 22853, 16413, 16443, 22853, 16446, 16425, 16387, 16392, 16395, 16917, 58873, 24998, 20962, 16767, 20484, 20515, 28460, 18960, 16604, 16442, 16415, 35288, 16396, 16465, 16643, 16723, 16399, 16444, 16397, 18708, 17142, 25904, 16769, 29885, 21487, 16809, 16647, 36437, 16671, 16647, 34888, 19509, 23052, 16604, 16387, 16475, 16443, 26210, 16443, 22853, 16475, 16443, 37337, 16475, 16443, 22853, 16396, 16443, 22853, 16446, 16425, 16475, 16387, 16604, 16442, 16415, 16465, 16643, 16723, 16399, 16444, 16674, 46565, 18918, 19924, 34734, 16673, 17259, 20286, 16673, 19009, 16767, 16761, 23366, 27596, 16807, 16992, 22360, 16809, 16647, 20927, 38280, 18046, 34888, 19509, 16604, 16442, 16415, 26338, 16400, 16410, 16604, 16415, 16465, 16643, 16723, 16400, 16410, 16604, 16415, 16465, 16643, 16723, 16401, 16410, 16604, 16415, 16465, 16643, 16723, 16402, 16410, 16604, 16415, 16465, 16643, 16723, 16403, 16410, 16604, 16415, 16465, 16643, 16723, 16404, 16410, 16604, 16415, 16465, 16643, 16723, 16405, 16410, 16604, 16415, 16465, 16643, 16723, 16406, 16410, 16604, 16415, 16465, 16643, 16723, 16407, 16410, 16604, 16415, 16465, 16643, 16723, 16408, 16410, 16604, 16415, 16465, 16643, 16723, 16400, 16399, 16410, 16604, 16415, 16465, 16643, 16723, 16400, 16400, 16444, 16397, 16582, 16582, 18301, 16647, 16977, 17459, 16395, 16647, 19027, 20734, 16785, 16604, 16393, 17224, 16396, 40622, 20814, 16393, 16673, 19009, 16767, 16761, 23366, 27596, 18633, 16671, 16703, 29242, 16397, 17376, 16704, 16647, 46565, 18918, 19924, 20937, 16709, 48418, 20962, 16785, 56142, 16395, 16647, 24748, 16730, 19283, 16673, 16647, 27596, 17131, 48418, 16704, 17027, 27158, 16709, 17490, 16647, 28460, 18960, 16674, 40085, 28697, 16397, 21656, 34814, 16709, 16647, 48418, 18960, 16604, 16387, 16443, 29200, 16474, 16443, 24673, 16476, 16387, 16704, 48571, 16734, 16647, 19031, 16673, 16604, 16387, 16443, 29200, 16474, 16443, 24673, 16476, 16387, 16395, 16456, 16397, 16452, 16397, 18331, 17347, 24748, 16730, 19283, 16604, 16387, 16419, 16387, 36522, 16641, 46685, 16815, 16641, 25544, 38280, 16604, 16387, 16419, 16443, 23966, 16443, 29200, 16474, 16443, 24673, 16476, 16387, 16671, 16647, 17242, 16396, 32577, 38280, 16604, 16387, 16419, 16443, 23966, 16443, 29200, 16474, 16443, 24673, 16476, 16445, 16464, 16387, 16767, 16641, 30483, 48418, 18960, 16604, 16387, 16443, 29200, 16474, 16443, 24673, 16476, 16446, 16450, 16387, 16395, 17187, 16647, 43173, 16704, 21677, 17032, 32838, 16395, 16604, 16387, 16464, 16411, 16400, 16387, 16604, 16442, 16415, 40622, 16446, 23333, 16668, 16446, 25709, 16406, 16410, 16604, 16415, 40622, 16446, 23333, 16668, 16446, 25709, 16405, 16410, 16604, 16415, 44831, 16446, 25709, 16401, 16410, 16604, 16415, 40622, 16446, 23333, 16668, 16446, 23634, 16401, 16410, 16604, 16415, 40622, 16446, 23333, 16668, 16446, 23634, 16400, 16410, 16604, 16415, 40622, 16446, 23333, 16668, 16446, 25709, 16401, 16410, 16604, 16415, 40622, 16446, 23333, 16668, 16446, 25709, 16402, 16410, 16604, 16415, 40622, 16446, 23333, 16668, 16446, 25709, 16403, 16444, 16397, 17544, 18185, 16395, 16672, 27732, 28578, 16604, 16391, 25542, 16392, 35628, 16673, 28182, 17060, 16743, 16466, 33184, 18528, 16672, 17142, 30369, 16604, 16442, 16415, 40622, 16446, 23333, 16668, 16446, 25709, 16406, 16410, 16604, 16415, 40622, 16446, 23333, 16668, 16446, 25709, 16405, 16444, 16674, 42119, 17600, 30083, 17260, 27596, 16672, 17567, 30369, 16604, 16442, 16415, 44831, 16446, 25709, 16401, 16444, 16395, 16647, 24748, 16730, 19283, 35177, 16815, 16604, 16387, 16419, 16443, 23966, 16443, 29200, 16474, 16443, 24673, 16476, 16387, 16604, 16391, 16387, 16443, 29200, 16474, 16443, 24673, 16476, 16411, 16443, 29200, 16474, 16443, 24673, 16476, 16446, 16450, 16387, 16392, 16671, 16604, 16387, 16419, 16443, 23966, 16443, 29200, 16474, 16443, 24673, 16476, 16445, 16474, 16399, 16397, 16407, 16476, 16387, 16604, 16391, 16387, 16443, 29200, 16474, 16443, 24673, 16476, 16413, 16443, 29200, 16474, 16443, 24673, 16476, 16446, 16450, 16387, 16392, 16397, 18708, 18466, 19884, 16734, 29105, 25717, 16673, 19094, 47805, 31652, 17131, 48418, 16604, 16442, 16415, 40622, 16446, 23333, 16668, 16446, 23634, 16401, 16410, 16604, 16415, 40622, 16446, 23333, 16668, 16446, 23634, 16400, 16444, 16674, 17027, 18510, 16721, 16647, 24748, 16730, 19283, 17257, 16804, 21257, 16709, 31517, 30369, 16397, 18523, 16395, 17653, 46685, 16395, 18331, 16456, 16397, 16452, 16397, 18331, 20563, 16604, 16387, 16419, 16443, 23966, 16443, 29200, 16474, 16443, 24673, 16476, 16387, 16671, 16604, 16387, 16419, 16443, 23966, 16443, 29200, 16474, 16443, 24673, 16476, 16445, 16474, 16400, 16398, 16401, 16476, 16387, 16395, 16763, 22738, 16809, 16647, 19831, 16673, 17045, 63087, 60079, 16604, 16391, 18542, 16647, 38280, 16604, 16387, 16419, 16443, 23966, 16443, 29200, 16474, 16443, 24673, 16476, 16445, 16474, 16400, 16398, 16401, 16476, 16387, 16704, 16647, 63923, 20937, 16672, 22355, 30332, 16604, 16387, 16443, 29200, 16474, 16443, 24673, 16476, 16443, 17493, 16443, 29200, 16474, 16443, 24673, 16476, 16446, 16450, 16387, 16392, 16604, 16442, 16415, 40622, 16446, 23333, 16668, 16446, 25709, 16401, 16410, 16604, 16415, 40622, 16446, 23333, 16668, 16446, 25709, 16402, 16410, 16604, 16415, 40622, 16446, 23333, 16668, 16446, 25709, 16403, 16444, 16397, 16875, 18150, 16395, 16728, 16763, 17494, 16672, 25504, 35628, 16673, 19009, 16767, 16761, 23366, 53085, 16721, 16672, 16641, 34725, 17785, 19924, 18960, 18898, 16395, 16647, 24748, 16730, 19283, 19029, 16815, 16604, 16387, 16419, 16443, 23966, 16443, 29200, 16474, 16443, 24673, 16476, 16387, 16604, 16391, 16387, 16443, 22853, 16411, 16443, 22853, 16446, 16425, 16387, 16392, 16671, 16604, 16387, 16443, 29200, 16474, 16443, 24673, 16476, 16445, 16474, 16399, 16397, 16406, 16407, 16476, 16387, 16604, 16391, 16387, 16443, 22853, 16443, 57188, 16443, 22853, 16446, 16425, 16387, 16392, 16604, 16442, 16415, 40622, 16446, 23333, 16668, 16446, 25709, 16399, 16444, 16395, 49313, 16721, 16647, 46685, 48418, 18960, 16604, 16387, 16443, 29200, 16474, 16443, 24673, 16476, 16446, 16450, 16387, 20484, 22227, 16741, 16647, 17434, 25054, 34888, 19509, 16815, 19057, 16604, 16387, 16443, 22853, 16443, 29061, 16443, 22853, 16446, 16425, 16387, 16397, 16582, 16582, 26199, 16721, 16647, 18171, 16396, 40622, 20814, 16673, 19009, 16767, 16761, 23366, 27596, 18937, 16641, 18271, 19777, 16815, 16647, 39715, 16672, 21543, 16410, 16604, 16393, 19355, 52853, 16393, 16704, 21852, 16672, 16604, 16391, 21527, 19665, 16392, 17881, 23110, 16952, 20375, 17235, 16604, 16391, 21332, 43646, 16392, 16604, 16442, 16415, 40622, 16446, 23333, 16668, 16446, 25709, 16399, 16410, 16604, 16415, 40622, 16446, 23333, 16668, 16446, 25709, 16401, 16410, 16604, 16415, 40622, 16446, 23333, 16668, 16446, 25709, 16402, 16410, 16604, 16415, 40622, 16446, 23333, 16668, 16446, 25709, 16403, 16410, 16604, 16415, 40622, 16446, 23333, 16668, 16446, 25709, 16406, 16410, 16604, 16415, 44831, 16446, 25709, 16401, 16444, 16397, 16772, 25739, 16673, 17242, 16396, 40622, 20814, 16843, 16703, 17027, 18215, 16672, 41415, 16396, 22844, 35628, 16604, 16391, 16387, 16443, 29200, 16474, 16443, 24673, 16476, 16443, 29061, 16604, 16399, 16387, 16392, 16673, 19009, 16767, 16761, 23366, 53085, 16604, 16442, 16415, 44831, 16446, 57444, 16400, 16444, 16674, 25504, 35628, 16673, 30083, 17260, 21024, 17049, 17545, 17131, 22551, 20301, 16604, 16442, 16415, 40622, 16446, 23333, 16668, 16446, 25709, 16400, 16444, 16397, 16582, 16582, 25226, 16647, 18171, 16396, 40622, 20814, 16843, 16703, 19970, 16734, 27599, 43506, 16673, 19009, 16767, 16761, 23366, 27596, 16395, 23267, 16807, 28060, 31517, 45751, 16673, 30736, 42907, 16604, 16442, 16415, 16465, 16643, 16723, 16399, 16444, 16785, 17975, 16396, 18245, 16856, 16952, 20375, 17235, 16604, 16442, 16415, 18250, 16453, 17651, 16401, 16444, 16673, 16647, 27596, 17131, 48418, 16397, 36165, 18815, 28259, 16673, 39576, 20069, 23349, 16395, 18331, 16456, 16397, 16452, 16397, 18331, 16393, 23135, 16699, 35087, 16393, 16395, 16769, 17177, 35265, 16741, 22072, 16673, 16604, 16387, 16443, 29200, 16474, 16443, 24673, 16476, 16387, 16674, 16604, 16387, 16443, 22853, 16387, 16395, 18919, 16395, 16986, 16704, 16641, 19744, 16673, 26954, 16709, 16647, 38280, 16673, 16647, 28259, 16397, 17544, 18185, 16395, 16647, 19101, 16673, 38643, 35087, 16604, 16387, 16443, 21390, 16387, 31739, 18249, 16741, 16647, 48418, 18960, 19410, 16671, 23020, 16604, 16387, 16443, 29200, 16474, 16443, 24673, 16476, 16443, 29061, 16604, 16399, 16387, 16859, 16721, 16647, 17803, 16396, 23098, 38280, 16604, 16387, 16443, 21390, 16443, 23966, 16443, 29200, 16474, 16443, 24673, 16476, 16445, 16474, 16396, 16466, 16476, 16387, 16763, 22738, 16395, 17187, 16647, 43173, 35177, 16815, 16604, 16387, 16466, 16412, 16399, 16397, 16401, 16402, 16387, 16671, 16604, 16387, 16399, 16397, 16404, 16387, 23451, 16709, 35131, 20609, 16674, 19924, 19527, 16604, 16442, 16415, 44831, 16446, 25709, 16401, 16410, 16604, 16415, 40622, 16446, 23333, 16668, 16446, 25709, 16400, 16444, 16397, 16772, 34814, 16673, 16647, 38643, 28518, 19101, 16709, 40085, 28697, 16704, 17027, 29242, 16397, 17426, 16647, 17434, 16704, 19057, 34888, 19509, 16395, 20927, 38280, 16673, 16647, 19101, 16704, 18201, 16809, 16604, 16387, 16443, 21390, 16443, 23966, 16475, 16443, 26210, 16443, 22853, 16475, 16445, 16474, 16396, 16470, 16476, 16387, 16395, 17187, 17476, 17390, 20722, 16604, 16391, 16642, 16647, 18898, 17415, 16604, 16387, 16399, 16397, 16404, 16443, 16677, 16651, 16443, 16677, 16604, 16400, 16397, 16399, 16387, 16392, 16807, 16992, 19074, 16809, 19001, 35628, 16604, 16442, 16415, 16465, 16643, 16723, 16399, 16410, 16604, 16415, 18250, 16453, 17651, 16401, 16410, 16604, 16415, 16465, 16643, 16723, 16400, 16405, 16444, 16397, 16875, 23065, 16395, 16980, 16647, 17434, 16704, 18568, 34888, 19509, 16395, 16647, 19101, 21083, 61798, 16671, 16647, 40085, 28697, 16604, 16391 ]
[ 0, 19577, 18471, 25939, 18147, 16872, 24203, 21882, 16709, 21625, 16667, 20287, 16673, 16647, 23575, 16721, 20470, 18160, 17014, 26490, 16785, 21922, 16647, 20477, 16931, 24589, 26470, 16395, 16674, 18613, 19502, 17016, 48674, 22658, 16843, 16703, 25186, 16809, 33998, 16671, 24190, 18403, 16897, 17533, 16671, 16703, 16922, 20283, 53958, 16815, 18403, 20477, 16396, 16820, 36137, 16604, 16391, 16452, 16397, 16454, 16397, 16395, 16604, 16442, 16415, 16417, 16408, 16408, 16444, 16410, 16604, 16442, 16415, 16417, 16400, 16406, 16444, 16410, 16604, 16442, 16415, 16417, 16400, 16400, 16399, 16444, 16392, 16397, 18523, 16395, 21051, 30959, 20470, 17255, 16647, 18314, 16673, 51586, 25939, 18147, 16395, 33998, 16769, 18143, 25292, 16734, 23910, 39659, 16873, 17724, 19724, 16922, 17032, 16917, 17418, 16397, 19859, 16604, 16391, 16658, 17055, 16396, 16392, 60320, 16604, 16391, 16657, 26565, 22486, 16809, 17142, 16785, 16922, 17047, 16392, 16704, 18545, 16604, 16391, 16442, 16415, 16417, 16405, 16405, 16444, 16392, 16674, 16709, 16647, 21691, 16604, 16391, 16442, 16415, 16417, 16408, 16400, 16444, 16392, 16397, 24792, 18510, 16721, 17055, 16396, 18700, 18028, 22982, 16715, 17415, 16604, 16400, 16399, 16674, 16604, 16400, 16406, 16388, 16673, 19117, 22322, 47414, 16734, 17415, 16604, 16401, 16401, 16674, 16604, 16402, 16399, 16388, 16673, 42424, 17255, 19423, 16672, 17055, 16396, 18700, 18028, 16604, 16391, 16442, 16415, 16417, 16400, 16403, 16444, 16410, 16604, 16442, 16415, 16417, 16403, 16402, 16444, 16410, 16604, 16442, 16415, 16417, 16408, 16399, 16444, 16410, 16604, 16442, 16415, 16417, 16401, 16399, 16444, 16410, 16604, 16442, 16415, 16417, 16406, 16400, 16444, 16392, 16397, 18523, 16395, 17055, 16396, 18700, 18028, 26204, 17109, 16671, 16703, 35092, 16734, 32671, 16397, 17170, 16704, 17172, 16647, 17586, 18125, 30706, 16671, 17097, 18658, 17310, 42424, 16929, 16807, 16992, 23057, 16785, 27024, 16395, 23526, 16672, 16641, 19101, 16925, 19851, 20458, 16673, 17055, 16396, 18700, 18028, 16604, 16391, 16452, 16397, 16454, 16397, 16395, 16641, 22045, 17123, 16703, 22322, 16741, 16641, 24589, 18094, 17014, 16672, 17551, 33998, 16769, 16994, 39071, 16721, 16922, 42424, 16958, 19423, 16392, 16397, 16582, 16582, 22520, 16396, 18700, 18028, 16704, 16994, 16917, 45161, 16721, 16961, 18616, 16647, 22012, 16673, 16922, 17032, 16917, 17418, 16397, 20735, 40262, 16672, 16944, 19705, 20470, 17123, 17109, 16671, 16703, 33669, 16769, 17014, 16986, 16769, 19705, 62120, 21171, 16659, 16671, 16641, 18462, 22045, 16785, 17014, 16641, 23344, 20369, 16667, 16813, 43449, 22354, 16604, 16391, 62561, 16929, 16843, 18288, 16667, 18375, 16673, 16647, 62947, 16673, 16641, 23344, 16767, 16641, 20447, 16977, 17032, 16647, 22045, 20795, 16767, 16647, 17005, 16647, 22045, 18200, 17617, 16410, 16604, 16442, 16415, 16417, 16401, 16400, 16444, 16392, 16397, 27903, 16395, 16991, 22605, 19318, 17123, 19881, 16673, 18319, 16929, 16769, 19423, 17097, 16672, 16647, 20695, 16395, 16785, 16672, 16647, 39813, 16395, 16673, 16667, 26565, 16395, 16850, 16804, 16672, 16647, 20492, 23149, 16673, 16647, 26565, 19302, 16397, 28224, 16671, 16813, 43449, 32410, 16395, 17213, 17585, 18319, 16868, 16703, 58107, 16673, 16647, 22045, 16850, 16804, 20432, 22381, 16397, 26274, 17961, 17476, 17585, 28578, 16671, 19705, 35512, 16395, 16986, 16704, 17363, 16647, 19056, 16715, 33998, 16671, 18283, 16922, 17032, 16917, 17418, 16931, 16647, 17396, 22045, 16398, 24181, 16397, 18523, 16395, 16672, 17213, 40262, 16647, 20199, 16715, 33998, 16704, 16671, 21349, 16647, 26656, 16673, 16647, 17624, 19194, 16809, 16647, 62120, 21171, 16659, 16395, 16671, 21349, 18515, 16647, 16813, 43449, 22354, 16704, 18159, 16785, 19506, 16395, 16785, 16671, 21349, 16647, 47156, 24128, 19277, 16809, 16647, 17585, 18319, 16672, 16647, 26565, 17650, 16397, 16582, 16582, 24346, 33998, 18143, 16807, 16671, 18283, 19318, 16395, 18515, 16728, 16704, 19705, 35512, 16395, 19705, 62120, 21171, 16659, 16395, 16785, 16813, 43449, 22354, 23910, 16395, 16647, 17679, 16673, 51586, 25939, 19831, 24864, 19318, 16704, 20236, 16397, 19736, 23824, 19514, 17494, 17097, 16604, 16401, 16399, 19831, 19807, 16709, 16647, 22573, 16673, 37070, 17585, 51586, 16604, 16391, 19914, 16604, 16393, 16393, 22224, 16604, 16442, 16400, 16444, 16391, 16386, 16435, 16400, 16392, 16474, 18452, 16396, 18926, 16412, 16385, 22246, 16385, 16476, 16393, 16393, 16392, 16397, 17958, 16604, 16401, 16399, 19831, 16395, 20302, 16917, 16395, 19570, 19705, 35512, 16410, 20821, 16728, 16704, 19318, 16673, 35512, 16721, 16868, 16703, 16647, 20618, 18314, 16673, 16647, 17788, 18603, 16397, 16772, 20199, 16673, 16647, 17788, 18603, 19090, 16704, 16671, 19094, 16758, 16674, 17620, 16647, 18147, 16721, 16872, 16992, 22546, 17065, 48674, 19318, 16671, 20897, 61761, 16674, 16671, 17620, 16647, 30496, 28771, 16673, 16811, 24581, 18147, 18124, 16397, 16772, 18603, 16868, 18328, 16647, 22383, 17415, 19318, 16674, 20470, 16395, 16674, 16868, 17556, 16647, 17476, 22797, 16673, 16647, 17471, 16795, 17585, 51586, 19831, 16395, 16715, 18185, 16395, 48674, 17585, 18319, 32632, 20836, 16397, 48674, 17585, 18319, 28859, 16397, 40422, 16395, 16647, 18603, 34448, 16672, 16647, 23824, 16868, 16703, 21766, 16734, 27120, 16715, 18368, 19831, 16397, 16772, 17788, 18603, 16868, 18314, 16709, 16647, 37070, 34587, 16673, 61761, 16674, 20821, 19831, 30742, 40632, 22021, 16671, 20897, 61761, 16672, 19318, 16868, 16804, 16703, 22849, 16604, 16391, 19914, 16604, 16442, 16415, 16417, 16400, 16402, 16444, 16410, 16604, 16442, 16415, 16417, 16405, 16407, 16444, 16395, 16604, 16442, 16415, 16417, 16405, 16406, 16444, 16395, 16715, 19831, 17655, 16647, 17828, 16718, 19949, 22698, 21808, 16604, 16391, 16418, 18317, 16392, 16671, 24303, 17624, 16815, 19318, 16392, 16397, 16582, 16582, 16386, 16386, 16386, 16386, 16386, 16386, 16604, 16582, 16582, 63147, 16673, 16647, 17585, 51586, 19831, 21443, 16859, 17963, 16395, 16944, 20165, 37070, 48283, 16604, 16391, 24642, 17136, 18325, 16604, 16400, 16400, 17202, 16815, 16604, 16401, 16399, 16399, 16402, 16671, 16604, 16401, 16399, 16400, 16403, 16392, 16397, 16582, 16582, 16650, 23535, 51586, 18077, 16650, 61719, 22678, 25879, 28152, 16650, 33472, 20086, 16650, 26282, 37859, 16696, 16696, 16696, 16696, 16696, 16650, 25351, 16673, 19724, 19290, 16650, 50709, 16785, 17968, 16414, 16650, 34612, 16414, 16582, 16650, 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, 16604, 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, 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, 16604, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16582, 16650, 16442, 16415, 16417, 16402, 16402, 16444, 16696, 16696, 16696, 16696, 16650, 25617, 18259, 16817, 16696, 16696, 16696, 16696, 16696, 16650, 35122, 16696, 16696, 22173, 16420, 24291, 16696, 16696, 16696, 16696, 16696, 16696, 16650, 16604, 16402, 16696, 16696, 16696, 16696, 16696, 16696, 20012, 20135, 16696, 16696, 16696, 16696, 21516, 16582, 16650, 16442, 16415, 16417, 16400, 16399, 16403, 16444, 16696, 16696, 16696, 16696, 45495, 16696, 16696, 16696, 16696, 16696, 16650, 35122, 16696, 16696, 16391, 18495, 16392, 65149, 19126, 16696, 16696, 16696, 16650, 16604, 16401, 16696, 16696, 16696, 16696, 16696, 16696, 20012, 20135, 16696, 16696, 16696, 16696, 21516, 16582, 16650, 16442, 16415, 16417, 16400, 16404, 16444, 16696, 16696, 16696, 16696, 16650, 24694, 16771, 17816, 16696, 16696, 16696, 16696, 16696, 16650, 48168, 16696, 16696, 33930, 16673, 17055, 16396, 28794, 17136, 16696, 16696, 16696, 16696, 16650, 16604, 16401, 16696, 16696, 16696, 16696, 16696, 16696, 20012, 20135, 16696, 16696, 16696, 16696, 21516, 16582, 16650, 16442, 16415, 16417, 16402, 16401, 16444, 16696, 16696, 16696, 16696, 16650, 24694, 16771, 17816, 16696, 16696, 16696, 16696, 16696, 16650, 48168, 16696, 16696, 22173, 16420, 24291, 16696, 16696, 16696, 16696, 16696, 16696, 16650, 16604, 16402, 16696, 16696, 16696, 16696, 16696, 16696, 20012, 20135, 16696, 16696, 16696, 16696, 21516, 16582, 16650, 16442, 16415, 16417, 16402, 16406, 16444, 16696, 16696, 16696, 16696, 16650, 24694, 16771, 17816, 16696, 16696, 16696, 16696, 16696, 16650, 48168, 16696, 16696, 17506, 55585, 26402, 16696, 16696, 16696, 16696, 16696, 16604, 16401, 16696, 16696, 16696, 16696, 16696, 16696, 20012, 20135, 16696, 16696, 16696, 16696, 21516, 16582, 16650, 16442, 16415, 16417, 16405, 16399, 16444, 16696, 16696, 16696, 16696, 16650, 24694, 16771, 17816, 16696, 16696, 16696, 16696, 16696, 16650, 48168, 16696, 16696, 30145, 17017, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16401, 16696, 16696, 16696, 16696, 16696, 16696, 20012, 20135, 16696, 16696, 16696, 16696, 21516, 16582, 16650, 16442, 16415, 16417, 16405, 16404, 16444, 16696, 16696, 16696, 16696, 16650, 24694, 16771, 17816, 16696, 16696, 16696, 16696, 16696, 16650, 48168, 16696, 16696, 16391, 18495, 16392, 65149, 19126, 16409, 33995, 16650, 16604, 16402, 16696, 16696, 16696, 16696, 16696, 16696, 20012, 20135, 16696, 16696, 16696, 16696, 21516, 16582, 16650, 16442, 16415, 16417, 16406, 16406, 16444, 16696, 16696, 16696, 16696, 16650, 24694, 16771, 17816, 16696, 16696, 16696, 16696, 16696, 16650, 48168, 16696, 16696, 16434, 22640, 18153, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16402, 16696, 16696, 16696, 16696, 16696, 16696, 31874, 16696, 16696, 16696, 16650, 21516, 16582, 16650, 16442, 16415, 16417, 16406, 16408, 16444, 16696, 16696, 16696, 16696, 16650, 24694, 16771, 17816, 16696, 16696, 16696, 16696, 16696, 16650, 48168, 16696, 16696, 16391, 18495, 16392, 65149, 19126, 16409, 33995, 16650, 16604, 16401, 16674, 16604, 16403, 16696, 16696, 16696, 16696, 16650, 20012, 20135, 16696, 16696, 16696, 16696, 21516, 16582, 16650, 16442, 16415, 16417, 16407, 16403, 16444, 16696, 16696, 16696, 16696, 16650, 24694, 16771, 17816, 16696, 16696, 16696, 16696, 16696, 16650, 48168, 16696, 16696, 24410, 21920, 16673, 43035, 16696, 16696, 16696, 16650, 16401, 16696, 16696, 16696, 16696, 16696, 16696, 31874, 16696, 16696, 16696, 16650, 21516, 16582, 16650, 16442, 16415, 16417, 16407, 16404, 16444, 16696, 16696, 16696, 16696, 16650, 24694, 16771, 17816, 16696, 16696, 16696, 16696, 16696, 16650, 48168, 16696, 16696, 17506, 55585, 26402, 16696, 16696, 16696, 16696, 16696, 16604, 16401, 16696, 16696, 16696, 16696, 16696, 16696, 20012, 20135, 16696, 16696, 16696, 16696, 21516, 16582, 16650, 16442, 16415, 16417, 16408, 16406, 16444, 16696, 16696, 16696, 16696, 16650, 24694, 16771, 17816, 16696, 16696, 16696, 16696, 16696, 16650, 48168, 16696, 16696, 16391, 18495, 16392, 65149, 19126, 16696, 16696, 16696, 16650, 16604, 16401, 16696, 16696, 16696, 16696, 16696, 16696, 31874, 16696, 16696, 16696, 16650, 21516, 16582, 16650, 16442, 16415, 16417, 16400, 16399, 16405, 16444, 16696, 16696, 16696, 16696, 19921, 16771, 17816, 16696, 16696, 16696, 16696, 16696, 16650, 48168, 16696, 16696, 16391, 18495, 16392, 65149, 19126, 16696, 16696, 16696, 16650, 16604, 16401, 16696, 16696, 16696, 16696, 16696, 16696, 20012, 20135, 16696, 16696, 16696, 16696, 21516, 16582, 16650, 16442, 16415, 16417, 16401, 16402, 16444, 16696, 16696, 16696, 16696, 16650, 38793, 16696, 16696, 16696, 16696, 16696, 16696, 16650, 51890, 16696, 16696, 16417, 20403, 46699, 19724, 16696, 16696, 16650, 16604, 16401, 16696, 16696, 16696, 16696, 16696, 16696, 20012, 20135, 16696, 16696, 16696, 16696, 21516, 16582, 16650, 16442, 16415, 16417, 16404, 16403, 16444, 16696, 16696, 16696, 16696, 16650, 38793, 16696, 16696, 16696, 16696, 16696, 16696, 16650, 51890, 16696, 16696, 28581, 20976, 21535, 16696, 16696, 16696, 16696, 16696, 16696, 16650, 16604, 16401, 16696, 16696, 16696, 16696, 16696, 16696, 20012, 20135, 16696, 16696, 16696, 16696, 21516, 16582, 16650, 16442, 16415, 16417, 16404, 16404, 16444, 16696, 16696, 16696, 16696, 16650, 38793, 16696, 16696, 16696, 16696, 16696, 16696, 16650, 51890, 16696, 16696, 16431, 19763, 16390, 24571, 16673, 16647, 61552, 16696, 16401, 16696, 16696, 16696, 16696, 16696, 16696, 20012, 20135, 16696, 16696, 16696, 16696, 21516, 16582, 16650, 16442, 16415, 16417, 16408, 16402, 16444, 16696, 16696, 16696, 16696, 16650, 38793, 16696, 16696, 16696, 16696, 16696, 16696, 16650, 51890, 16696, 16696, 16391, 18495, 16392, 65149, 19126, 16696, 16696, 16696, 16650, 16604, 16401, 16696, 16696, 16696, 16696, 16696, 16696, 20012, 20135, 16696, 16696, 16696, 16696, 21516, 16582, 16650, 16442, 16415, 16417, 16400, 16399, 16404, 16444, 16696, 16696, 16696, 16696, 37539, 16696, 16696, 16696, 16696, 16696, 16696, 16650, 51890, 16696, 16696, 16391, 18495, 16392, 65149, 19126, 16696, 16696, 16696, 16650, 16604, 16401, 16696, 16696, 16696, 16696, 16696, 16696, 20012, 20135, 16696, 16696, 16696, 16696, 21516, 16582, 16650, 16442, 16415, 16417, 16408, 16403, 16444, 16696, 16696, 16696, 16696, 16650, 19439, 48347, 29166, 22863, 16696, 16696, 16650, 38796, 16802, 16696, 16696, 18264, 17173, 17762, 16396, 44652, 24291, 16696, 16696, 16696, 16401, 16696, 16696, 16696, 16696, 16696, 16696, 20012, 20135, 16696, 16696, 16696, 16696, 21516, 16582, 16650, 16442, 16415, 16417, 16405, 16408, 16444, 16445, 34463, 16629, 16445, 16696, 16696, 16696, 16650, 20451, 27005, 18038, 19474, 16696, 16696, 16650, 51890, 16696, 16696, 37983, 23439, 16696, 16696, 16696, 16696, 16696, 16650, 16401, 16696, 16696, 16696, 16696, 16696, 16696, 20012, 20135 ]
[ 0, 36300, 16582, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16582, 16582, 43671, 17743, 16704, 16917, 32967, 16673, 55705, 18583, 16944, 16395, 16672, 18295, 19328, 17789, 18764, 23571, 16395, 16704, 19194, 17891, 18554, 27675, 17586, 16397, 21656, 36669, 34158, 16647, 56326, 16673, 18554, 27675, 17586, 16715, 28495, 16647, 24426, 17415, 55705, 18583, 16674, 30174, 16604, 16443, 16442, 16442, 16415, 16417, 16400, 16444, 16443, 16444, 16397, 21604, 19091, 16704, 18715, 16671, 16703, 16922, 32115, 19074, 17032, 22021, 17274, 16741, 20638, 16395, 16991, 19591, 16815, 21994, 19831, 23649, 50325, 21060, 16843, 19947, 17415, 19091, 19074, 16672, 17730, 33692, 16674, 16721, 29856, 22322, 16709, 18554, 38653, 16604, 16443, 16442, 16442, 16415, 16417, 16401, 16444, 16396, 16442, 16415, 16417, 16403, 16444, 16443, 16444, 16397, 16875, 16641, 18077, 16809, 52005, 18768, 16674, 26032, 16395, 16641, 28387, 24721, 16763, 17494, 17415, 19091, 19074, 16672, 17730, 19724, 17586, 16674, 19091, 19074, 16672, 26230, 17482, 16396, 16825, 26402, 16815, 36470, 49411, 17135, 18554, 16604, 16443, 16442, 16442, 16415, 16417, 16404, 16444, 16443, 16444, 16397, 19063, 20759, 17102, 17029, 18466, 16807, 17027, 16992, 19628, 16672, 16977, 19831, 16395, 16734, 16991, 38287, 16641, 33055, 16715, 19091, 16671, 16703, 19074, 16767, 16641, 18846, 17743, 16709, 18554, 38653, 17032, 16767, 32320, 17730, 22309, 16395, 16604, 16443, 16442, 16442, 16415, 16417, 16401, 16444, 16395, 16442, 16415, 16417, 16402, 16444, 16443, 16444, 17437, 16977, 19831, 20332, 16811, 16763, 16804, 18159, 16604, 16443, 16442, 16442, 16415, 16417, 16400, 16444, 16443, 16444, 16397, 16582, 16582, 17071, 18150, 16395, 16647, 33010, 16673, 19074, 19091, 17415, 19724, 22309, 16674, 18554, 27675, 17586, 17123, 24195, 16734, 16774, 17173, 16682, 16443, 16390, 16466, 23324, 16395, 18702, 16395, 16674, 23603, 17743, 16604, 16443, 16442, 16442, 16415, 16417, 16402, 16444, 16443, 16444, 16397, 21053, 16843, 16703, 19074, 17827, 32115, 16715, 21379, 16774, 17173, 16988, 17608, 16873, 16769, 17827, 18715, 17032, 31080, 16671, 16807, 36470, 49411, 16674, 16769, 16922, 18715, 16671, 17849, 16767, 16667, 20985, 18702, 16604, 16443, 16442, 16442, 16415, 16417, 16402, 16444, 16443, 16444, 16397, 16772, 17030, 43526, 16673, 19091, 16763, 16922, 18545, 18493, 17310, 16774, 17173, 16988, 16929, 16395, 18745, 16671, 17730, 22309, 17586, 16395, 16955, 16641, 19251, 19091, 17743, 16604, 16443, 16442, 16442, 16415, 16417, 16402, 16444, 16443, 16444, 16397, 18523, 16395, 16672, 16641, 18242, 18077, 16395, 26017, 16707, 17253, 16674, 26032, 19074, 16721, 18554, 27675, 19091, 17743, 16955, 26253, 36669, 16674, 16721, 19576, 19336, 18698, 16763, 18655, 16672, 17490, 63498, 16604, 16443, 16442, 16442, 16415, 16417, 16400, 16444, 16443, 16444, 16397, 35989, 16807, 19628, 16721, 17030, 43526, 28338, 16763, 16922, 36171, 16672, 20985, 17032, 23425, 16774, 17173, 16988, 16604, 16443, 16442, 16442, 16415, 16417, 16401, 16444, 16443, 16444, 16397, 36021, 16815, 17213, 19831, 16395, 17687, 16872, 16992, 19807, 16709, 16647, 36669, 16674, 33010, 16673, 19091, 17415, 17730, 22309, 17586, 16674, 18554, 27675, 17586, 16397, 16582, 16582, 43671, 16704, 18365, 16741, 16641, 55705, 18583, 32967, 16721, 16704, 17827, 18715, 16671, 17928, 17030, 17005, 17032, 33333, 16674, 20638, 16604, 16443, 16442, 16442, 16415, 16417, 16403, 16444, 16443, 16444, 16397, 17376, 16641, 17539, 16395, 19576, 19336, 18698, 16673, 19091, 17123, 16804, 24195, 16734, 16647, 20570, 16673, 17005, 17415, 26764, 16673, 17730, 22309, 16674, 18554, 27675, 17586, 16397, 18523, 16395, 17028, 19831, 16807, 25736, 16811, 16397, 16875, 18150, 16395, 17687, 16704, 18365, 16931, 16647, 19576, 19336, 18698, 16673, 19091, 16809, 19225, 16673, 18554, 16397, 16582, 16582, 39740, 16395, 18295, 19831, 16807, 16992, 22546, 16671, 27768, 23603, 56536, 16672, 30174, 16734, 17231, 16673, 35099, 16674, 18554, 27675, 17586, 16672, 18764, 23571, 16604, 16443, 16442, 16442, 16415, 16417, 16405, 16444, 16396, 16442, 16415, 16417, 16407, 16444, 16443, 16444, 16397, 17544, 18185, 16395, 16672, 19421, 19831, 16742, 20905, 18702, 16396, 16395, 23324, 16396, 16395, 16674, 19225, 16396, 27044, 30174, 56536, 16809, 19091, 16604, 16443, 16442, 16442, 16415, 16417, 16405, 16444, 16443, 16444, 16674, 28152, 25904, 16672, 30174, 56536, 16809, 19091, 16604, 16443, 16442, 16442, 16415, 16417, 16406, 16444, 16443, 16444, 16397, 18523, 16395, 16647, 23384, 16673, 21334, 17662, 16396, 17982, 22337, 17662, 28338, 16604, 16443, 16442, 16442, 16415, 16417, 16408, 16444, 16443, 16444, 17120, 16804, 16703, 33553, 16672, 17213, 19831, 17608, 16819, 40019, 17586, 16958, 17405, 16604, 16443, 16442, 16442, 16415, 16417, 16405, 16444, 16395, 16442, 16415, 16417, 16406, 16444, 16443, 16444, 16397, 17426, 19091, 19415, 16673, 16647, 35099, 16958, 16922, 56523, 17032, 17310, 16673, 18554, 27675, 17586, 16395, 50812, 23603, 30174, 17476, 25409, 17120, 16703, 17366, 16397, 22781, 23574, 16721, 16647, 33010, 16673, 19091, 17743, 17415, 22309, 16674, 18554, 27675, 17586, 16843, 16703, 20154, 16604, 16443, 16442, 16442, 16415, 16417, 16400, 16399, 16444, 16443, 16444, 16397, 16711, 19421, 26814, 18077, 28152, 16647, 33010, 16673, 19074, 19091, 17743, 17415, 22309, 16674, 18554, 27675, 17586, 16604, 16443, 16442, 16442, 16415, 16417, 16400, 16400, 16444, 16443, 16444, 16397, 18523, 16395, 18443, 16671, 16647, 17785, 17679, 16673, 25074, 16395, 16641, 16922, 23435, 19335, 16809, 54595, 17099, 17274, 16741, 19225, 16673, 18554, 16674, 27329, 17415, 17730, 22309, 16674, 18554, 16763, 16804, 18230, 16674, 16647, 36669, 16604, 16391, 50935, 26288, 16674, 45732, 16392, 16673, 17492, 23603, 23479, 16763, 16804, 28152, 16397, 22698, 16709, 23324, 16395, 18702, 16395, 16674, 19225, 16396, 27044, 17743, 16673, 36669, 16704, 21221, 16671, 20114, 16998, 28338, 16672, 16647, 23324, 16395, 18702, 16395, 16674, 19225, 16396, 27044, 31942, 16673, 55705, 30174, 56536, 23975, 16734, 35099, 16674, 18554, 21074, 17157, 16895, 17586, 16397, 23466, 16395, 16647, 20380, 16673, 16811, 18077, 16763, 16671, 24416, 19091, 17743, 22322, 16709, 18554, 38653, 16734, 16721, 19074, 17329, 18554, 16672, 16641, 35778, 25923, 37047, 16673, 22381, 16672, 16647, 18611, 19218, 16674, 41000, 54342, 30974, 16604, 16391, 43055, 18013, 18311, 16392, 16673, 18764, 23571, 16397, 38403, 16395, 16742, 28152, 16647, 19777, 16672, 16647, 31942, 16673, 36669, 16674, 33010, 16715, 23603, 62856, 18745, 16671, 23324, 16395, 18702, 17585, 16395, 27329, 17415, 17730, 22309, 16674, 18554, 16395, 23603, 23479, 16395, 16674, 19225, 16673, 18554, 16397, 16582, 16582, 41751, 16582, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16582, 16582, 16853, 47577, 21242, 20738, 16673, 16647, 17376, 16657, 22552, 19371, 16395, 43576, 16395, 22782, 16811, 18077, 16397, 16772, 17730, 22309, 17586, 17405, 16672, 16811, 18077, 16958, 16647, 16604, 16400, 16408, 16408, 16407, 16674, 16604, 16401, 16399, 16399, 16400, 37651, 18013, 18311, 22546, 16809, 16647, 23571, 21054, 16715, 19218, 16674, 21589, 26988, 16397, 22698, 16763, 23980, 16815, 16641, 39138, 17886, 18180, 16771, 16898, 27505, 22281, 16673, 18764, 26814, 32330, 26489, 16647, 33937, 16395, 17975, 16396, 16642, 32748, 17521, 19971, 16604, 16443, 16442, 16442, 16415, 16417, 16400, 16401, 16444, 16443, 16444, 16397, 62665, 20627, 16715, 16647, 16604, 16400, 16408, 16408, 16407, 16674, 16604, 16401, 16399, 16399, 16400, 37651, 18013, 18311, 16958, 16604, 16407, 16408, 16397, 16407, 16388, 16674, 16604, 16406, 16406, 16397, 16402, 16388, 16395, 22358, 16397, 18073, 16641, 32320, 18536, 16395, 17624, 16709, 19091, 17743, 16763, 21715, 16815, 16667, 22739, 23909, 19154, 16397, 17544, 17492, 17797, 19154, 16395, 16647, 21165, 19091, 21443, 16763, 19074, 16397, 17170, 17586, 25287, 19857, 16604, 16400, 16402, 16396, 46655, 18741, 27353, 20246, 16721, 16958, 34519, 24053, 16671, 30174, 17586, 16815, 16647, 26814, 18611, 47841, 21146, 16397, 19139, 17780, 16395, 16858, 26814, 25074, 17724, 16703, 19074, 16671, 16647, 23571, 18611, 47841, 21146, 16397, 17119, 21766, 25074, 16721, 23619, 16672, 16647, 17202, 16604, 16400, 16408, 16408, 16408, 16396, 16396, 16401, 16399, 16399, 16404, 16715, 17310, 16672, 16647, 16604, 16400, 16408, 16408, 16407, 37651, 18013, 18311, 16674, 16604, 16401, 16399, 16399, 16401, 16396, 16396, 16401, 16399, 16399, 16404, 16715, 17310, 16672, 16647, 16604, 16401, 16399, 16399, 16400, 37651, 18013, 18311, 16397, 16759, 20382, 16673, 30174, 17482, 16396, 16825, 16763, 16604, 16406, 16397, 16400, 17202, 16397, 28224, 16671, 16721, 16672, 37651, 18013, 18311, 16395, 19415, 16673, 19091, 19074, 16709, 18554, 38653, 16958, 21487, 16809, 16647, 21165, 17743, 16673, 19091, 21443, 16397, 16772, 17624, 16709, 19091, 16763, 18138, 16709, 20369, 16815, 16647, 16774, 17173, 16682, 16443, 16390, 16466, 25295, 16397, 16582, 16582, 63221, 17318, 17099, 19570, 16672, 17038, 28830, 16958, 23324, 16395, 18702, 16395, 27329, 17415, 22309, 16674, 18554, 16395, 16674, 19225, 16673, 18554, 16397, 16759, 20382, 17415, 17730, 22309, 16674, 18554, 16763, 49417, 17065, 25796, 16673, 16604, 16402, 16397, 16403, 17202, 16785, 17827, 16674, 16604, 16402, 16397, 16404, 16396, 16396, 16406, 16397, 16400, 17202, 16671, 50600, 23375, 25987, 17065, 19318, 16397, 59935, 16673, 18554, 16958, 51333, 18745, 16671, 16647, 16604, 16400, 16399, 16445, 16757, 16445, 16644, 20228, 16673, 16647, 16604, 16393, 33599, 54091, 16673, 31232, 16393, 16391, 18359, 16419, 16396, 16400, 16399, 16392, 16674, 49417, 16741, 20053, 16604, 16391, 16418, 16399, 16399, 16396, 16396, 16418, 16408, 16406, 16392, 16395, 36632, 20062, 16604, 16391, 16424, 16399, 16399, 16396, 16396, 16424, 16408, 16408, 16392, 16395, 23703, 22556, 16604, 16391, 16437, 16399, 16400, 16396, 16396, 16440, 16408, 16407, 16392, 16395, 16674, 16977, 16397, 16582, 16582, 18264, 17038, 19335, 16395, 16742, 17092, 19739, 19091, 17743, 17415, 37651, 18013, 18311, 17586, 16674, 18554, 27675, 17586, 16674, 25722, 16647, 28167, 16673, 18476, 16995, 16795, 16674, 45433, 16795, 30258, 16397, 19488, 16742, 21487, 29214, 16674, 45732, 16673, 19091, 16672, 18554, 27675, 17655, 16647, 19749, 18197, 16395, 16604, 16443, 16442, 16442, 16415, 16417, 16400, 16402, 16444, 16443, 16444, 16734, 19091, 19074, 16672, 37651, 18013, 18311, 19570, 16647, 20494, 19749, 16397, 41780, 26288, 16674, 45732, 16809, 19225, 16673, 18554, 16958, 16804, 20905, 18443, 16671, 16647, 17785, 19101, 16673, 17492, 19091, 17585, 16397, 17119, 17027, 23381, 16647, 21294, 20627, 16673, 19091, 17743, 17415, 37651, 18013, 18311, 17586, 16674, 18554, 27675, 17586, 16397, 20956, 43526, 16674, 17131, 43526, 20627, 16958, 25722, 16397, 20956, 43526, 27475, 16671, 16647, 56523, 19091, 17743, 22322, 16672, 18554, 38653, 19739, 16734, 16721, 16672, 37651, 18013, 18311, 16395, 17437, 17131, 43526, 18238, 16647, 27123, 16397, 24806, 18346, 35677, 16604, 16391, 35433, 16392, 16715, 29214, 16395, 45732, 16395, 21294, 20627, 16395, 17030, 43526, 20627, 16674, 17131, 43526, 20627, 16958, 25722, 16809, 63923, 18197, 16397, 17544, 17213, 28830, 16395, 19091, 17586, 16815, 18554, 38653, 16674, 37651, 18013, 18311, 16958, 54244, 17065, 18514, 19415, 16604, 16391, 58969, 16785, 18846, 16395, 17362, 17613, 16395, 20231, 17613, 16395, 32790, 17613, 16674, 17028, 19091, 16392, 16674, 17567, 19415, 16604, 16391, 58969, 16785, 18846, 16395, 17362, 16674, 20231, 17613, 16395, 32790, 17613, 16785, 17827, 16392, 16397, 17170, 16763, 23354, 16734, 41985, 27638, 17405, 16672, 19421, 17142, 19831, 16604, 16443, 16442, 16442, 16415, 16417, 16405, 16444, 16395, 16442, 16415, 16417, 16406, 16444, 16443, 16444, 16397, 24229, 16395, 17135, 39801, 16715, 16858, 54595, 17099, 16395, 16742, 23381, 28838, 36244, 16734, 16604, 16408, 16404, 16388, 33044, 16715, 21294, 16672, 23603, 62856, 17014, 18514, 16674, 17567, 23603, 19318, 16958, 17405, 16397, 17958, 29311, 28830, 16958, 20888, 16734, 55673, 29311, 20052, 16397, 16582, 16582, 32271, 16582, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16582, 16582, 53371, 18741, 27353, 20246, 16673, 16604, 16400, 16401, 16395, 16407, 16399, 16400, 24454, 26661, 16604, 16401, 16399, 16394, 16604, 16391, 16405, 16395, 16408, 16399, 16399, 16715, 16647, 16604, 16400, 16408, 16408, 16407, 37651, 18013, 18311, 16674, 16604, 16404, 16395, 16408, 16399, 16400, 16715, 16647, 16604, 16401, 16399, 16399, 16400, 37651, 18013, 18311, 16392, 16958, 24053, 16671, 30174, 17624, 16397, 16711, 18804, 16673, 16604, 16404, 16400, 16402, 25074, 16958, 21766, 16409, 16604, 16402, 16406, 16405, 25074, 16715, 16647, 16604, 16400, 16408, 16408, 16407, 37651, 18013, 18311, 16674, 16604, 16400, 16402, 16406, 25074, 16715, 16647, 16604, 16401, 16399, 16399, 16400, 37651, 18013, 18311, 16397, 19525, 17213, 16395, 16604, 16404, 16400, 16400, 16604, 16391, 16408, 16408, 16397, 16405, 16388, 16392, 16955, 19091, 19415, 18125, 16815, 17490, 16647, 18554, 27675, 16674, 37651, 18013, 18311, 16397, 18483, 16774, 17173, 16682, 16955, 17028, 19091, 17624, 16672, 16647, 37651, 18013, 18311, 16674, 17653, 16774, 17173, 16682, 16443, 16390, 16466, 19091, 16763, 16804, 22322, 16672, 16647, 18554, 27675, 16397, 19525, 16647, 16604, 16404, 16400, 16400, 22381, 19618, 16672, 17038, 28830, 16395, 16604, 16404, 16406, 16397, 16408, 16388, 16604, 16391, 16461, 16604, 16412, 16604, 16401, 16408, 16405, 16392, 16958, 18102, 16674, 16604, 16405, 16400, 16397, 16400, 16388, 16604, 16391, 16461, 16604, 16412, 16604, 16402, 16400, 16401, 16392, 16958, 26661, 16604, 16405, 16404, 16394, 16397, 16772, 17881, 18702, 16673, 24454, 16763, 16604, 16405, 16405, 16397, 16403, 17202, 16604, 16391, 23460, 16604, 16400, 16403, 16397, 16403, 16392, 16397, 17267, 17173, 16682, 18702, 30581, 16734, 19091, 16815, 16604, 16404, 16401, 16397, 16406, 17202, 16604, 16391, 23460, 16604, 16400, 16405, 16397, 16402, 16392, 16715, 17310, 16734, 20047, 19091, 16785, 18846, 16671, 16604, 16406, 16404, 16397, 16407, 17202, 16604, 16391, 23460, 16604, 16408, 16397, 16401, 16392, 16715, 17310, 16734, 17028, 19091, 16397, 16711, 25016, 23324, 19777, 16672, 19091, 16763, 17027, 17494, 16734, 16604, 16401, 16403, 16397, 16406, 16388, 16604, 16391, 16461, 16604, 16412, 16604, 16406, 16402, 16392, 16673, 18102, 16674, 16604 ]
[ 0, 16398, 16398, 17170, 19471, 16704, 17015, 16673, 21064, 60780, 16397, 16582, 16582, 16398, 16398, 34832, 16604, 16391, 16418, 16392, 16604, 16401, 16399, 16400, 16406, 16396, 16401, 16399, 16401, 16399, 18880, 16798, 30358, 16604, 16391, 28850, 16392, 24574, 16397, 16582, 16398, 16398, 46646, 16439, 16396, 65416, 16396, 40480, 16409, 16796, 23004, 16396, 16402, 16397, 16399, 16396, 16658, 16396, 52247, 31260, 21198, 20284, 16396, 37168, 16396, 16401, 16397, 16399, 16582, 16582, 16398, 16398, 17170, 17632, 16704, 17953, 20052, 16409, 16732, 16843, 39819, 21159, 16728, 16674, 16398, 16658, 33157, 16582, 16398, 16398, 16728, 17131, 16647, 19246, 16673, 16647, 54386, 20405, 20861, 31010, 16741, 19807, 16809, 16582, 16398, 16398, 16647, 22666, 27951, 21945, 16395, 18422, 19288, 16604, 16402, 16673, 16647, 31010, 16395, 16785, 16582, 16398, 16398, 16604, 16391, 16649, 16912, 20328, 16392, 16998, 18242, 19288, 16397, 16582, 16582, 16398, 16398, 17170, 17632, 16704, 25956, 16672, 16647, 18453, 16721, 16728, 16868, 16703, 21221, 16395, 16582, 16398, 16398, 16850, 61781, 34038, 58943, 18013, 24089, 16410, 17714, 17199, 16647, 36094, 39048, 16673, 16582, 16398, 16398, 64824, 20260, 27255, 57597, 16785, 61633, 54571, 24635, 16711, 46785, 18359, 60431, 56581, 16431, 35225, 16397, 21125, 16647, 16582, 16398, 16398, 54386, 20405, 20861, 31010, 16715, 16922, 20184, 16397, 16582, 16582, 16398, 16398, 17332, 17208, 16807, 19151, 16641, 20600, 16673, 16647, 54386, 20405, 20861, 31010, 16582, 16398, 16398, 18184, 16734, 16811, 17632, 16397, 17426, 16804, 16395, 17134, 16604, 16411, 19597, 16409, 16398, 16398, 18409, 16397, 20226, 16468, 16397, 18431, 16398, 17006, 21613, 16398, 16413, 16397, 16582, 16582, 16398, 16398, 16384, 33408, 32578, 16715, 16647, 41832, 16396, 36160, 18945, 30414, 25022, 16397, 16582, 16398, 16398, 16384, 16582, 16398, 16398, 16384, 29094, 23849, 21101, 28988, 26610, 17030, 16641, 44954, 19278, 16395, 17187, 24111, 16769, 16804, 18630, 16671, 16582, 16398, 16398, 16384, 31361, 18015, 16873, 16807, 21339, 16641, 18201, 20011, 16397, 16582, 16398, 16398, 16384, 16582, 16398, 16398, 16384, 31238, 17032, 34312, 25022, 20248, 16395, 16582, 16398, 16398, 16384, 41832, 16396, 36160, 18945, 16994, 29770, 16641, 28370, 16673, 17223, 22373, 31541, 16397, 16793, 19919, 16944, 17669, 16991, 34820, 16582, 16398, 16398, 16384, 27421, 16673, 17223, 22373, 31541, 16769, 22111, 16397, 27074, 17553, 16769, 18422, 35294, 16395, 16785, 29048, 16397, 16582, 16398, 16398, 16384, 16582, 16398, 16398, 16384, 17544, 20845, 16395, 16728, 16704, 16604, 16446, 25286, 16723, 16943, 16446, 16671, 20520, 16647, 17396, 19906, 16922, 17032, 18266, 16397, 16582, 16398, 16398, 16384, 16875, 16647, 18368, 16395, 16986, 16868, 16703, 16641, 18618, 18252, 16715, 22764, 25088, 16647, 17396, 19906, 16582, 16398, 16398, 16384, 17131, 18244, 19527, 16721, 16769, 17405, 16671, 16819, 16396, 36917, 16647, 25022, 16397, 16582, 16582, 16893, 40171, 16409, 16409, 16474, 16463, 18701, 18434, 16409, 16409, 16393, 16395, 22351, 16409, 16409, 16460, 17421, 16450, 16476, 16410, 16582, 16893, 19990, 16409, 16409, 16474, 30708, 16395, 30280, 16476, 16410, 16582, 16893, 24045, 16446, 24926, 16409, 16409, 49222, 17345, 16410, 16582, 16893, 18006, 64752, 16446, 59787, 16409, 16409, 42277, 16410, 16582, 16893, 30902, 16409, 16409, 16474, 30207, 16409, 16409, 51507, 16395, 39987, 16409, 16409, 52320, 16395, 21535, 16409, 16409, 16474, 22533, 16395, 31029, 16476, 16476, 16410, 16582, 16582, 16893, 17020, 16446, 22887, 16409, 16409, 20423, 17283, 16409, 16409, 16417, 16953, 62745, 30947, 34546, 16410, 16582, 16893, 17266, 17854, 16446, 36160, 18945, 16409, 16409, 23096, 16409, 16409, 16474, 21070, 32397, 16395, 20245, 47106, 16395, 33977, 18023, 19683, 16476, 16410, 16582, 16893, 17266, 17854, 16446, 36160, 18945, 16409, 16409, 16474, 16469, 31720, 16395, 27864, 16446, 17793, 16409, 16409, 58939, 20811, 16476, 16410, 16582, 16893, 17184, 16446, 35847, 16409, 16409, 16474, 36364, 23024, 16395, 18203, 24205, 29165, 16476, 16410, 16582, 16893, 17184, 16446, 35847, 16446, 16454, 39584, 16409, 16409, 16474, 16422, 39584, 33102, 16395, 23319, 16741, 16796, 39584, 36364, 16476, 16410, 16582, 16893, 54302, 16446, 24609, 16446, 18227, 16450, 16409, 16409, 16474, 18543, 18227, 16395, 17267, 18227, 16476, 16410, 16582, 16893, 17020, 16446, 45402, 16409, 16409, 20423, 17283, 16409, 16409, 16474, 25263, 16741, 28705, 16435, 16395, 36653, 16741, 36653, 16435, 16395, 17046, 19773, 16741, 17046, 19773, 16435, 16395, 27928, 18264, 16476, 16410, 16582, 16893, 17184, 16446, 46813, 42437, 16409, 16409, 16474, 46813, 42437, 16395, 25885, 16434, 36663, 18763, 16446, 37375, 16395, 25885, 16434, 36663, 18763, 16446, 38734, 16476, 16410, 16582, 16582, 16893, 57384, 16409, 16409, 16474, 16582, 16581, 56026, 20999, 16395, 58372, 16395, 33408, 17071, 16395, 33408, 21977, 16423, 16395, 16582, 16581, 20870, 16935, 46205, 16395, 31479, 16395, 36089, 16395, 16702, 20261, 23096, 16395, 16582, 16476, 16410, 16582, 16893, 57384, 16409, 16409, 42150, 16409, 16409, 29972, 16437, 21514, 16410, 16582, 16893, 44954, 16409, 16409, 16474, 16582, 16581, 28322, 56026, 20999, 23096, 16395, 16582, 16581, 28322, 46205, 23096, 16395, 16582, 16581, 16422, 39584, 23096, 16395, 16582, 16581, 16422, 39584, 51724, 16395, 16582, 16581, 54350, 29969, 16395, 16582, 16581, 64663, 23096, 16395, 16582, 16476, 16410, 16582, 16893, 17020, 16446, 23563, 16798, 16446, 36160, 18945, 16409, 16409, 16474, 16582, 16581, 25415, 16798, 19157, 16395, 27876, 55929, 16395, 23612, 19157, 16741, 23612, 19157, 25351, 16395, 29916, 25351, 16395, 16582, 16476, 16410, 16582, 16893, 17020, 16446, 34773, 16409, 16409, 16460, 17421, 16450, 16409, 16409, 23226, 17944, 18495, 16449, 23967, 17506, 40491, 16410, 16582, 16582, 26556, 17374, 44954, 16410, 16582, 18852, 40022, 16410, 16582, 16582, 16386, 16442, 42380, 16391, 18922, 16392, 16444, 16582, 26556, 16391, 16450, 23178, 16392, 17374, 22076, 16410, 16582, 16582, 26556, 17231, 17020, 16446, 23563, 16798, 16446, 36160, 18945, 16409, 16409, 26517, 23849, 21101, 16446, 60661, 26239, 16446, 18320, 16410, 16582, 26556, 17794, 29094, 23849, 21101, 16446, 20714, 18957, 20523, 19785, 16446, 30933, 16409, 16604, 16389, 16390, 22844, 17428, 16604, 16412, 16604, 16385, 16398, 17603, 16798, 28298, 16398, 36160, 18945, 16398, 16400, 16385, 16410, 16582, 16582, 16398, 16398, 17985, 30481, 17533, 16715, 23673, 31361, 16397, 16582, 18852, 17985, 16604, 16474, 16582, 16581, 16893, 17184, 16446, 35847, 16409, 16409, 21223, 24205, 29165, 16741, 18203, 16410, 16582, 16581, 26556, 16391, 26469, 16392, 17794, 25719, 17904, 16446, 17879, 38405, 19429, 16409, 18203, 16604, 16412, 18203, 16409, 16409, 17848, 16391, 16396, 16404, 16399, 16395, 16604, 16385, 38038, 18945, 16409, 28297, 19906, 16385, 16392, 16410, 16582, 16581, 26556, 16391, 26469, 16392, 17794, 16738, 19240, 16446, 60070, 53593, 16409, 18203, 16604, 16412, 18203, 16409, 16409, 17848, 16391, 16396, 16400, 16399, 16399, 16395, 16604, 16385, 38038, 18945, 16409, 24960, 28158, 16385, 16392, 16410, 16582, 16581, 26556, 16391, 26469, 16392, 17794, 16727, 18189, 36561, 18525, 16446, 16418, 36426, 16446, 28284, 16409, 18203, 16604, 16412, 18203, 16409, 16409, 17848, 16391, 16396, 16400, 16399, 16399, 16399, 16395, 16604, 16385, 38038, 18945, 16409, 20777, 27567, 39638, 16396, 16825, 16385, 16392, 16410, 16582, 16581, 26556, 16391, 26469, 16392, 17794, 16727, 18189, 36561, 18525, 16446, 27785, 44127, 16409, 18203, 16604, 16412, 18203, 16409, 16409, 17848, 16391, 16396, 16400, 16399, 16399, 16399, 16395, 16604, 16385, 38038, 18945, 16409, 20777, 27567, 21250, 16385, 16392, 16410, 16582, 16581, 26556, 16391, 26469, 16392, 17794, 16773, 20356, 27310, 16446, 16428, 62932, 16409, 18203, 16604, 16412, 18203, 16409, 16409, 17848, 16391, 16396, 16404, 16399, 16399, 16395, 16604, 16385, 38038, 18945, 16409, 27001, 19906, 16385, 16392, 16410, 16582, 16581, 26556, 16391, 26469, 16392, 17794, 21857, 47297, 32442, 16446, 16437, 18957, 17528, 16409, 18203, 16604, 16412, 18203, 16409, 16409, 17848, 16391, 16396, 16400, 16404, 16399, 16395, 16604, 16385, 38038, 18945, 16409, 48895, 27864, 16385, 16392, 16410, 16582, 16582, 16581, 26556, 16391, 26469, 16392, 17794, 20325, 47827, 16446, 39323, 16446, 20260, 46303, 16409, 18203, 16604, 16412, 18203, 16409, 16409, 17848, 16391, 16396, 16404, 16399, 16399, 16395, 16604, 16385, 38038, 18945, 16409, 49600, 18058, 17928, 16385, 16392, 16410, 16582, 16581, 26556, 16391, 26469, 16392, 17794, 42186, 16446, 46665, 19234, 19926, 29305, 16446, 32867, 23163, 16409, 17226, 16402, 16401, 16604, 16412, 16604, 16396, 16404, 16410, 16582, 16581, 26556, 16391, 26469, 16392, 17794, 42186, 16446, 60070, 53593, 16446, 45343, 18525, 16409, 17226, 16402, 16401, 16604, 16412, 16604, 16396, 16401, 16404, 16410, 16582, 16581, 26556, 16391, 26469, 16392, 17794, 42186, 16446, 63178, 16446, 52065, 18525, 16409, 17226, 16402, 16401, 16604, 16412, 16604, 16396, 16400, 16399, 16410, 16582, 16581, 26556, 16391, 26469, 16392, 17794, 20325, 47827, 16446, 16418, 36426, 16446, 28284, 16409, 18203, 16604, 16412, 18203, 16409, 16409, 17848, 16391, 16396, 16404, 16399, 16399, 16399, 16395, 16604, 16385, 38038, 18945, 16409, 49600, 20857, 16396, 16825, 16385, 16392, 16410, 16582, 16581, 26556, 16391, 26469, 16392, 17794, 20325, 47827, 16446, 27785, 44127, 16409, 18203, 16604, 16412, 18203, 16409, 16409, 17848, 16391, 16396, 16404, 16399, 16399, 16399, 16395, 16604, 16385, 38038, 18945, 16409, 49600, 21250, 16385, 16392, 16410, 16582, 16581, 26556, 16391, 26469, 16392, 17794, 36710, 16446, 35742, 16446, 21066, 45318, 16446, 16428, 62932, 16409, 18203, 16604, 16412, 18203, 16409, 16409, 17848, 16391, 16396, 16404, 16399, 16399, 16395, 16604, 16385, 38038, 18945, 16409, 20603, 16396, 17663, 16396, 26395, 19906, 16385, 16392, 16410, 16582, 16581, 26556, 16391, 26469, 16392, 17794, 16719, 36426, 16446, 28284, 16446, 54645, 16446, 42057, 30058, 16409, 18203, 16604, 16412, 18203, 16409, 16409, 17848, 16391, 16396, 16401, 16399, 16399, 16395, 16604, 16385, 38038, 18945, 16409, 48631, 16396, 16825, 19181, 43819, 16385, 16392, 16410, 16582, 16582, 16581, 16398, 16398, 17985, 16673, 35273, 16641, 20857, 16903, 19181, 16582, 16581, 26556, 16391, 26469, 16392, 17794, 16719, 36426, 16446, 28284, 16446, 17879, 23004, 16440, 16409, 18203, 16604, 16412, 18203, 16409, 16409, 17848, 16391, 16396, 16401, 16399, 16399, 16395, 16604, 16385, 38038, 18945, 16409, 48631, 16396, 16825, 25535, 16385, 16392, 16410, 16582, 16581, 26556, 16391, 26469, 16392, 17794, 16751, 17759, 24381, 16446, 30058, 16446, 35742, 16446, 21066, 45318, 16446, 16418, 36426, 16446, 28284, 16409, 18203, 16604, 16412, 18203, 16409, 16409, 17848, 16391, 16396, 16401, 16399, 16399, 16395, 16604, 16385, 38038, 18945, 16409, 20603, 16396, 17663, 16396, 26395, 20857, 16396, 16825, 16385, 16392, 16410, 16582, 16476, 16582, 16582, 16398, 16398, 20763, 30481, 17533, 16715, 23673, 31361, 16397, 16582, 18852, 20763, 16604, 16474, 16582, 16581, 16893, 17184, 16446, 35847, 16409, 16409, 21223, 24205, 29165, 16741, 18203, 16410, 16582, 16581, 26556, 16391, 26469, 16392, 17794, 28213, 40200, 16417, 18092, 16446, 16428, 62932, 16409, 18203, 16604, 16412, 18203, 16409, 16409, 17848, 16391, 16400, 16399, 16399, 16395, 16604, 16385, 38038, 18945, 16409, 38158, 19010, 19906, 16385, 16392, 16410, 16582, 16581, 26556, 16391, 26469, 16392, 17794, 16778, 35049, 16446, 16428, 62932, 16409, 18203, 16604, 16412, 18203, 16409, 16409, 17848, 16391, 16400, 16399, 16399, 16395, 16604, 16385, 38038, 18945, 16409, 29916, 19906, 16385, 16392, 16410, 16582, 16581, 26556, 16391, 26469, 16392, 17794, 51177, 18359, 16446, 47827, 33124, 16446, 16418, 36426, 16446, 28284, 16409, 18203, 16604, 16412, 18203, 16409, 16409, 17848, 16391, 16401, 16399, 16399, 16395, 16604, 16385, 38038, 18945, 16409, 48631, 16396, 16825, 19906, 16385, 16392, 16410, 16582, 16581, 26556, 16391, 26469, 16392, 17794, 51177, 18359, 16446, 47827, 33124, 16446, 27785, 44127, 16409, 18203, 16604, 16412, 18203, 16409, 16409, 17848, 16391, 16400, 16399, 16399, 16395, 16604, 16385, 38038, 18945, 16409, 58372, 16385, 16392, 16410, 16582, 16581, 26556, 16391, 26469, 16392, 17794, 42186, 16446, 58912, 20137, 20523, 22927, 16409, 17226, 16402, 16401, 16604, 16412, 16604, 16400, 16399, 16410, 16582, 16476, 16582, 16582, 16398, 16398, 16398, 16711, 18383, 16721, 28528, 18226, 17038, 18070, 22645, 19931, 16674, 16641, 17254, 17165, 16779, 17187, 16728, 16704, 16582, 16398, 16398, 16398, 18125, 16715, 27636, 16397, 16582, 26556, 18735, 25758, 19157, 23828, 17165, 16779, 16391, 16391, 25415, 16798, 19157, 16395, 57019, 62745, 30947, 34546, 16392, 16392, 16410, 16582, 16582, 34910, 25758, 19157, 23828, 17165, 16779, 16604, 16474, 16582, 16581, 16398, 16398, 16398, 32698, 16641, 21178, 16671, 17038, 18070, 22645, 19931, 16397, 16582, 16581, 28484, 18070, 16446, 16699, 16391, 16389, 17224, 16392, 16604, 16396, 16413, 16604, 16389, 25415, 16798, 19157, 16604, 16474, 16582, 16581, 16581, 16389, 16391, 17224, 16397, 16399, 16392, 16397, 16399, 16582, 16581, 16476, 16582, 16582, 16581, 16398, 16398, 16398, 32698, 16641, 21178, 16671, 16647, 17254, 17165, 16779, 16397, 16582, 16581, 28484, 17254, 17165, 16779, 16391, 16389, 17224, 16392, 16604, 16396, 16413, 16604, 16389, 16417, 16953, 62745, 30947, 34546, 16604, 16474, 16582, 16581, 16581, 16389, 16391, 17224, 16397, 16399, 16392, 16397, 16400, 16582, 16581, 16476, 16582, 16476, 16582, 16582, 34910, 17376, 24993, 16411, 16417, 16953, 62745, 30947, 34546, 16413, 16715, 25758, 19157, 23828, 17165, 16779, 16604, 16474, 16582, 16581, 28484, 16741, 16446, 18452, 16391, 16389, 17224, 16392, 16604, 16396, 16413, 16604, 16389, 16417, 16953, 62745, 30947, 34546, 16604, 16474, 16582, 16581, 16581, 17224, 16397, 16749, 17165, 16779, 16391, 16392, 16582, 16581, 16476, 16582, 16476, 16582, 16582, 34910, 19912, 16411, 16391, 25415, 16798, 19157, 16395, 57019, 62745, 30947, 34546, 16392, 16413, 16715, 25758, 19157, 23828, 17165, 16779, 16604, 16474, 16582, 16581, 28484, 16815, 16391, 20644, 16409, 16604, 16391, 25415, 16798, 19157, 16395, 57019, 62745, 30947, 34546, 16392, 16392, 16604, 16396, 16413, 25758, 19157, 23828, 17165, 16779, 16604, 16474, 16582, 16581, 16581, 27979, 19157, 23828, 17165, 16779, 16391, 20644 ]
[ 0, 16386, 17170, 19471, 16704, 16641, 16700, 16933, 22730, 16671, 17709, 16647, 19484, 16672, 16647, 19471, 16640, 16458, 21240, 22315, 16397, 16450, 16397, 16582, 16386, 17170, 19471, 16704, 25095, 16672, 16647, 19749, 22535, 16715, 16700, 16933, 22076, 16397, 16582, 16386, 16582, 16386, 34832, 16604, 16391, 16450, 16392, 16604, 16400, 16408, 16408, 16403, 16772, 19142, 16988, 16673, 16647, 18059, 16673, 20058, 16397, 16582, 16386, 34832, 16604, 16391, 16450, 16392, 16604, 16400, 16408, 16408, 16403, 18792, 21907, 60321, 16395, 19376, 16397, 16582, 16386, 34832, 16604, 16391, 16450, 16392, 16604, 16400, 16408, 16408, 16407, 16396, 16400, 16408, 16408, 16408, 16809, 30640, 17220, 23813, 16397, 16582, 16386, 17958, 19503, 28946, 16397, 16582, 16582, 25323, 18616, 16640, 16933, 18922, 16604, 16401, 16397, 16400, 16582, 36049, 16640, 16933, 18922, 16409, 16409, 61394, 16604, 16387, 48265, 16582, 16467, 16933, 18922, 16409, 16409, 18557, 21376, 16665, 42580, 18376, 16582, 30319, 17609, 16604, 16396, 20316, 16640, 16933, 18922, 16409, 16409, 18922, 16582, 16582, 32235, 16604, 16474, 40624, 16604, 16397, 16467, 16476, 16582, 17888, 16604, 16397, 16467, 16604, 16396, 29833, 16604, 16474, 16418, 16663, 21688, 16604, 16396, 16400, 16401, 16476, 16604, 16396, 21660, 16604, 16401, 16399, 16604, 16396, 25666, 16604, 16400, 16399, 16582, 20977, 34720, 16604, 16397, 16604, 16397, 16467, 16604, 16474, 21635, 20864, 22748, 16476, 16582, 25546, 16582, 16397, 16467, 38401, 16709, 16582, 64279, 36261, 16604, 16397, 16604, 16474, 16476, 16582, 16650, 16582, 16386, 16772, 23439, 19057, 32294, 16647, 17736, 21481, 16410, 16650, 16654, 16390, 16466, 18964, 16980, 16647, 21481, 16582, 16386, 21347, 16704, 16669, 64279, 16671, 17190, 16669, 64279, 21739, 16931, 16641, 18722, 22250, 19101, 20989, 16397, 16582, 16582, 64279, 26263, 16604, 16397, 16582, 64279, 40694, 17356, 16604, 16397, 16604, 16400, 16604, 16400, 16582, 64279, 18583, 20563, 16604, 16397, 19397, 16582, 64279, 16774, 20595, 17940, 16604, 16397, 16582, 16582, 16397, 16467, 25444, 16604, 16400, 16397, 16399, 16604, 16385, 25277, 16604, 16400, 16582, 42284, 18280, 28535, 18894, 21598, 16460, 16582, 16400, 16401, 16402, 16403, 16404, 16582, 25277, 16604, 16403, 16582, 16449, 16443, 16468, 16403, 16452, 16403, 39009, 48065, 25562, 16604, 16397, 16386, 16415, 16414, 18509, 16446, 16472, 16473, 16582, 16384, 16415, 16386, 16387, 16388, 16582, 25277, 16604, 16406, 16385, 16582, 16582, 24481, 18725, 21385, 19003, 24481, 16604, 16396, 21660, 16604, 16400, 16399, 16604, 16396, 25666, 16604, 16400, 16399, 16582, 17888, 24481, 17646, 18901, 16604, 16396, 16928, 16604, 16399, 16604, 16399, 16604, 16408, 16604, 16408, 16582, 16582, 18922, 19003, 22315, 16396, 16400, 16397, 16400, 16604, 16474, 16435, 16458, 21240, 28577, 33972, 22315, 16476, 16604, 16474, 18922, 17888, 16476, 16604, 16474, 16582, 16696, 16386, 16604, 16391, 17583, 22315, 16604, 16411, 16604, 16399, 16392, 16582, 16696, 18922, 17888, 16604, 16397, 16467, 34006, 21190, 16604, 16396, 16400, 16604, 16402, 16582, 16476, 16604, 16474, 16400, 16397, 16399, 16604, 16399, 16476, 16582, 18922, 19003, 22315, 16396, 16400, 16397, 16401, 16604, 16474, 16435, 16458, 21240, 28577, 33972, 22315, 16476, 16604, 16474, 18922, 17888, 16476, 16604, 16474, 16582, 16696, 16386, 16604, 16391, 17583, 22315, 16604, 16411, 16604, 16399, 16392, 16395, 17172, 18089, 22315, 16604, 16412, 16412, 17428, 51003, 16391, 48265, 16442, 16401, 16444, 16392, 16604, 16396, 16604, 16400, 16582, 16696, 18922, 17888, 16604, 16397, 16467, 34006, 21190, 16604, 16399, 16604, 16402, 16582, 16476, 16604, 16474, 16400, 16397, 16399, 16604, 16399, 16476, 16582, 18922, 19003, 22315, 16396, 16400, 16397, 16402, 16604, 16474, 16435, 16458, 21240, 28577, 33972, 22315, 16476, 16604, 16474, 18922, 17888, 16476, 16604, 16474, 16582, 16696, 16386, 16804, 16604, 16391, 17583, 22315, 16604, 16411, 16604, 16399, 16392, 16582, 16696, 18922, 17888, 16604, 16397, 16467, 34006, 21190, 16604, 16400, 16604, 16402, 16582, 16476, 16604, 16474, 16400, 16397, 16402, 16604, 16402, 16476, 16582, 18922, 19003, 22315, 16396, 16400, 16397, 16403, 16604, 16474, 16435, 16458, 21240, 28577, 33972, 22315, 16476, 16604, 16474, 18922, 17888, 16476, 16604, 16474, 16582, 16696, 16386, 16604, 16391, 28398, 22315, 16604, 16411, 16604, 16399, 16392, 16582, 16696, 18922, 17888, 16604, 16397, 16467, 34006, 21190, 16604, 16402, 16604, 16396, 16400, 16582, 16476, 16604, 16474, 16402, 16397, 16399, 16604, 16399, 16476, 16582, 18922, 19003, 22315, 16396, 16400, 16397, 16404, 16604, 16474, 16435, 16458, 21240, 28577, 33972, 22315, 16476, 16604, 16474, 18922, 17888, 16476, 16604, 16474, 16582, 16696, 16386, 16804, 16604, 16391, 28398, 22315, 16604, 16411, 16604, 16399, 16392, 16582, 16696, 18922, 17888, 16604, 16397, 16467, 34006, 21190, 16604, 16402, 16604, 16402, 16582, 16476, 16604, 16474, 16402, 16397, 16402, 16604, 16402, 16476, 16582, 18922, 19003, 22315, 16396, 16400, 16397, 16405, 16604, 16474, 16435, 16458, 21240, 28577, 33972, 22315, 16476, 16604, 16474, 18922, 17888, 16476, 16604, 16474, 16582, 16696, 16386, 16604, 16391, 21190, 34546, 16396, 16413, 17583, 34546, 16604, 16412, 16412, 24539, 16392, 16582, 16696, 18922, 17888, 16604, 16397, 16467, 34006, 21190, 16604, 16408, 16604, 16401, 16582, 16476, 16604, 16474, 16407, 16397, 16399, 16604, 16399, 16476, 16582, 18922, 19003, 22315, 16396, 16400, 16397, 16406, 16604, 16474, 16435, 16458, 21240, 28577, 33972, 22315, 16476, 16604, 16474, 18922, 17888, 16476, 16604, 16474, 16582, 16696, 16386, 16804, 16604, 16391, 21190, 34546, 16396, 16413, 17583, 34546, 16604, 16412, 16412, 24539, 16392, 16582, 16696, 18922, 17888, 16604, 16397, 16467, 34006, 21190, 16604, 16406, 16604, 16401, 16582, 16476, 16604, 16474, 16406, 16397, 16401, 16604, 16401, 16476, 16582, 18922, 19003, 22315, 16396, 16400, 16397, 16407, 16604, 16474, 16435, 16458, 21240, 28577, 33972, 22315, 16409, 63662, 16715, 16604, 16399, 16476, 16604, 16474, 18922, 17888, 16476, 16604, 16474, 16582, 16696, 16386, 16604, 16391, 28398, 22315, 16604, 16412, 16412, 16604, 16399, 16392, 16582, 16696, 18922, 17888, 16604, 16397, 16467, 34006, 21190, 16604, 16400, 16604, 16399, 16582, 16476, 16604, 16474, 16400, 16397, 16399, 16604, 16399, 16476, 16582, 18922, 19003, 22315, 16396, 16400, 16397, 16408, 16604, 16474, 16435, 16458, 21240, 28577, 33972, 22315, 16409, 63662, 16715, 16604, 16399, 16476, 16604, 16474, 18922, 17888, 16476, 16604, 16474, 16582, 16696, 16386, 16804, 16604, 16391, 28398, 22315, 16604, 16412, 16412, 16604, 16399, 16392, 16582, 16696, 18922, 17888, 16604, 16397, 16467, 34006, 21190, 16604, 16402, 16604, 16407, 16399, 16582, 16476, 16604, 16474, 16402, 16397, 16404, 16604, 16404, 16476, 16582, 18922, 19003, 22315, 16396, 16400, 16397, 16400, 16399, 16604, 16474, 16435, 16458, 21240, 28577, 33972, 22315, 16409, 32011, 21304, 16704, 16672, 18898, 16476, 16604, 16474, 18922, 17888, 16476, 16604, 16474, 16582, 16696, 16386, 16715, 16604, 16391, 54586, 34546, 16604, 16412, 21304, 34546, 16396, 16413, 17583, 34546, 16396, 16413, 54586, 34546, 16410, 16604, 16410, 25495, 34546, 16604, 16412, 25495, 34546, 16396, 16413, 24374, 34546, 16392, 16604, 16582, 16696, 16386, 16917, 24653, 16582, 16582, 16696, 18922, 17888, 16604, 16397, 16467, 34006, 21190, 16604, 16402, 16604, 16404, 16582, 16476, 16604, 16474, 16402, 16397, 16404, 16604, 16404, 16476, 16582, 18922, 19003, 22315, 16396, 16400, 16397, 16400, 16400, 16604, 16474, 16435, 16458, 21240, 28577, 33972, 22315, 16409, 32011, 21304, 16704, 16672, 18898, 16476, 16604, 16474, 18922, 17888, 16476, 16604, 16474, 16582, 16696, 16386, 16715, 16604, 16391, 54586, 34546, 16604, 16412, 21304, 34546, 16396, 16413, 17583, 34546, 16396, 16413, 54586, 34546, 16410, 16604, 16410, 25495, 34546, 16604, 16412, 25495, 34546, 16396, 16413, 24374, 34546, 16392, 16582, 16696, 16386, 16696, 21304, 16604, 16394, 16412, 25495, 34546, 16396, 16413, 20658, 16582, 16696, 16386, 39107, 30189, 16395, 17190, 17811, 17188, 24653, 19101, 16671, 21304, 16397, 16582, 16582, 16696, 16397, 16467, 17479, 17280, 52256, 16604, 16402, 16397, 16401, 16604, 16582, 16696, 17793, 18509, 16604, 16442, 18922, 17888, 16604, 16397, 16467, 34006, 21190, 16604, 16402, 16604, 16406, 16444, 16582, 16696, 16397, 16467, 17479, 16819, 17793, 52256, 16582, 16696, 17793, 18509, 16582, 16476, 16604, 16474, 16402, 16397, 16404, 16604, 16404, 16476, 16582, 18922, 19003, 22315, 16396, 16400, 16397, 16400, 16401, 16604, 16474, 16435, 16458, 21240, 28577, 33972, 22315, 16409, 32011, 21304, 16704, 16672, 18898, 16476, 16604, 16474, 18922, 17888, 16476, 16604, 16474, 16582, 16696, 16386, 16604, 16391, 54586, 34546, 16604, 16412, 16412, 24539, 16392, 16582, 16696, 18922, 17888, 16604, 16397, 16467, 34006, 21190, 16604, 16402, 16604, 16406, 16582, 16476, 16604, 16474, 16402, 16397, 16404, 16604, 16404, 16476, 16582, 18922, 19003, 22315, 16396, 16400, 16397, 16400, 16402, 16604, 16474, 16435, 16458, 21240, 28577, 33972, 22315, 16409, 32011, 21304, 16704, 16672, 18898, 16476, 16604, 16474, 18922, 17888, 16476, 16604, 16474, 16582, 16696, 16386, 16804, 16604, 16391, 54586, 34546, 16604, 16412, 16412, 24539, 16392, 16582, 16696, 18922, 17888, 16604, 16397, 16467, 34006, 21190, 16604, 16402, 16604, 16403, 16582, 16476, 16604, 16474, 16402, 16397, 16403, 16604, 16403, 16476, 16582, 18922, 19003, 22315, 16396, 16400, 16397, 16400, 16403, 16604, 16474, 16435, 16458, 21240, 28577, 33972, 22315, 16409, 32011, 21304, 16704, 16672, 18898, 16476, 16604, 16474, 18922, 17888, 16476, 16604, 16474, 16582, 16696, 16386, 16604, 16391, 21190, 16604, 16394, 25495, 34546, 16396, 16413, 20658, 16604, 16413, 34006, 22315, 16392, 16582, 16696, 16386, 16672, 16811, 24653, 16397, 16582, 16582, 16696, 18922, 17888, 16604, 16397, 16467, 34006, 21190, 16604, 16402, 16604, 16403, 16582, 16476, 16604, 16474, 16402, 16397, 16403, 16604, 16403, 16476, 16582, 18922, 19003, 22315, 16396, 16400, 16397, 16400, 16404, 16604, 16474, 16435, 16458, 21240, 28577, 33972, 22315, 16409, 32011, 21304, 16704, 16672, 18898, 16476, 16604, 16474, 18922, 17888, 16476, 16604, 16474, 16582, 16696, 16386, 16604, 16391, 21190, 16604, 16394, 25495, 34546, 16396, 16413, 20658, 16604, 16413, 34006, 22315, 16392, 16395, 21304, 16604, 16384, 16412, 16604, 16399, 16582, 16696, 16386, 16672, 16811, 24653, 16397, 16582, 16582, 16696, 16397, 16467, 17479, 17280, 52256, 16604, 16402, 16397, 16401, 16582, 16696, 17793, 18509, 16604, 16442, 18922, 17888, 16604, 16397, 16467, 34006, 21190, 16604, 16402, 16604, 16403, 16444, 16582, 16696, 16397, 16467, 17479, 16819, 17793, 52256, 16582, 16696, 17793, 18509, 16582, 16476, 16604, 16474, 16402, 16397, 16403, 16604, 16403, 16476, 16582, 18922, 19003, 22315, 16396, 16400, 16397, 16400, 16405, 16604, 16474, 16435, 16458, 21240, 28577, 33972, 22315, 16409, 16876, 32571, 16396, 16407, 20229, 16476, 16604, 16474, 18922, 17888, 16476, 16604, 16474, 16582, 16696, 18922, 17888, 16604, 16397, 16467, 34006, 21190, 16604, 16404, 16604, 16400, 16399, 16399, 16582, 16476, 16604, 16474, 16404, 16397, 16400, 16407, 16604, 16401, 16399, 16476, 16582, 18922, 19003, 22315, 16396, 16400, 16397, 16400, 16406, 16604, 16474, 16435, 16458, 21240, 28577, 33972, 22315, 16409, 19650, 43530, 16876, 32571, 16396, 16407, 18446, 16476, 16604, 16443, 16582, 16581, 16474, 18922, 17888, 16476, 16604, 16474, 16582, 16696, 16386, 16604, 16391, 16391, 28398, 22315, 16604, 16413, 21304, 16392, 16604, 16389, 16389, 16604, 16391, 54586, 34546, 16396, 16413, 18926, 34546, 16604, 16412, 16412, 16604, 16389, 39985, 21240, 23559, 18954, 16392, 16392, 16604, 16582, 16696, 16386, 44413, 19481, 16961, 16703, 16604, 16443, 32709, 16408, 16604, 16391, 17347, 16604, 16401, 19566, 34006, 16673, 16876, 32571, 17573, 16673, 16604, 16399, 16471, 16403, 16452, 16403, 16453, 16392, 16397, 16582, 16582, 16696, 17793, 18509, 16604, 16442, 18922, 17888, 16604, 16397, 16467, 34006, 21190, 16604, 16404, 16604, 16401, 16444, 16582, 16696, 19950, 16604, 16387, 16471, 16604, 16442, 16397, 16467, 16969, 25444, 16444, 16582, 16476, 16604, 16474, 16474, 16404, 16397, 16401, 16604, 16403, 16476, 16712, 16476, 16582, 18922, 19003, 22315, 16396, 16400, 16397, 16400, 16407, 16604, 16474, 16435, 16458, 21240, 28577, 33972, 22315, 16409, 19650, 43530, 16876, 32571, 16396, 16407, 18446, 16476, 16604, 16443, 16582, 16581, 16474, 18922, 17888, 16476, 16604, 16474, 16582, 16696, 16386, 16604, 16391, 16391, 28398, 22315, 16604, 16413, 21304, 16392, 16604, 16389, 16389, 16604, 16391, 54586, 34546, 16396, 16413, 18926, 34546, 16604, 16412, 16412, 16604, 16389, 39985, 21240, 23559, 18954, 16392, 16392, 16604, 16582, 16696, 18922, 17888, 16604, 16397, 16467, 34006, 21190, 16604, 16404, 16604, 16400, 16582, 16696, 16397, 16467, 16969, 25444, 16582, 16476, 16604, 16385, 16443, 16468, 16403, 16452, 16403, 16453, 16385, 16582, 16582, 18922, 19003, 22315, 16396, 16401, 16397, 16400, 16604, 16474, 16435, 16458, 21240, 28577, 23559, 22315, 16476, 16604, 16474, 16582, 16696, 16386, 16604, 16391, 17583, 22315, 16604, 16411, 16604, 16399, 16392, 16582, 16696, 16397, 16467, 21304, 16604, 16396, 16400, 16397, 16402, 16582, 16476, 16604, 16400, 16397, 16399, 16582, 18922, 19003, 22315, 16396, 16401, 16397, 16401, 16604, 16474, 16435, 16458, 21240, 28577, 23559, 22315, 16476, 16604, 16474, 16582, 16696, 16386, 16604, 16391, 17583, 22315, 16604, 16411, 16604, 16399, 16392, 16395, 17172, 18089, 22315, 16604, 16412, 16412, 17428, 51003, 16391, 48265, 16442, 16401, 16444, 16392, 16604, 16396, 16604, 16400, 16582, 16696, 16397, 16467, 21304, 16604, 16399, 16397, 16402, 16582, 16476, 16604, 16400, 16397, 16399, 16582, 18922, 19003, 22315, 16396, 16401, 16397, 16402, 16604, 16474, 16435, 16458, 21240, 28577, 23559, 22315, 16476, 16604, 16474, 16582, 16696, 16386, 16804, 16604, 16391, 17583, 22315, 16604, 16411, 16604, 16399, 16392, 16582, 16696, 16397, 16467, 21304, 16604, 16400, 16397, 16402, 16582, 16476, 16604, 16400, 16397, 16402, 16582, 18922, 19003, 22315, 16396, 16401, 16397, 16403, 16604, 16474, 16435, 16458, 21240, 28577, 23559, 22315, 16476, 16604, 16474, 16582, 16696, 16386, 16604, 16391, 20166, 22315, 16604, 16411, 16604, 16399, 16392, 16582, 16696, 16397, 16467, 21304, 16604, 16402, 16397, 16396, 16400, 16582, 16476, 16604, 16402, 16397, 16399, 16582, 18922, 19003 ]
[ 0, 16418, 16396, 18926, 40620, 16755, 16865, 19828, 43940, 16604, 16391, 16418, 34141, 16392, 16395, 16647, 18848, 22603, 19154, 16673, 16647, 40620, 16755, 16865, 19828, 43940, 16604, 16391, 34141, 16392, 17797, 16395, 19151, 17073, 17830, 17172, 16728, 19533, 16641, 18545, 34226, 22363, 21554, 20189, 16734, 16647, 21216, 27894, 34947, 40195, 16767, 20428, 16674, 16738, 16396, 18926, 16793, 22776, 16604, 16391, 18013, 16431, 16674, 16738, 34141, 16392, 16604, 16391, 53421, 16672, 16604, 16391, 16442, 16415, 16418, 18317, 16399, 16399, 16399, 16400, 16444, 16392, 16392, 16397, 18523, 16395, 18206, 16674, 20643, 16856, 25998, 19831, 18242, 22130, 16721, 16719, 34141, 16390, 16466, 18166, 40632, 17917, 16704, 16804, 16647, 26080, 16673, 40956, 40620, 16755, 17342, 16656, 16397, 23702, 16395, 16719, 34141, 16704, 16641, 20927, 26525, 36758, 16672, 16647, 25584, 16395, 17187, 16728, 28356, 17099, 40632, 17291, 36112, 17725, 25584, 19134, 16809, 23968, 16398, 17603, 16861, 25653, 29304, 16673, 17073, 18462, 56095, 16796, 23801, 16396, 29239, 40620, 16755, 16865, 19828, 43940, 32174, 16396, 16417, 16604, 16391, 16429, 20714, 16396, 16417, 16395, 17027, 20472, 17250, 17249, 16697, 16459, 28519, 16954, 16396, 16417, 16392, 16672, 16816, 17253, 16689, 63265, 16604, 16391, 16442, 16415, 16418, 18317, 16399, 16399, 16399, 16400, 16444, 16392, 16397, 16875, 18150, 16395, 18070, 16719, 34141, 16398, 16429, 20714, 16396, 16417, 59330, 58377, 16672, 16653, 43283, 17782, 20382, 16395, 40427, 23856, 16645, 58674, 16713, 19885, 16395, 16674, 55959, 16673, 56560, 19546, 20301, 16604, 16391, 16442, 16415, 16418, 18317, 16399, 16399, 16399, 16400, 16444, 16395, 16604, 16442, 16415, 16418, 18317, 16399, 16399, 16399, 16403, 16444, 16395, 16604, 16442, 16415, 16418, 18317, 16399, 16399, 16399, 16404, 16444, 16392, 16397, 16582, 16582, 16429, 20714, 16396, 16417, 25268, 16741, 16641, 18826, 16745, 23720, 16395, 16674, 17492, 59043, 21998, 16667, 56293, 16719, 34141, 16396, 36209, 24020, 16395, 16641, 18187, 17333, 24510, 51158, 19599, 16674, 16667, 51705, 19599, 16734, 16641, 18187, 17242, 24510, 51158, 24653, 20440, 16809, 16641, 43441, 18826, 17595, 26525, 24020, 16395, 16641, 17055, 20295, 16396, 17435, 16724, 21290, 16646, 17873, 19599, 16674, 16641, 16719, 16396, 48276, 17250, 17249, 16697, 16459, 28519, 16954, 24020, 16604, 16391, 16442, 16415, 16418, 18317, 16399, 16399, 16399, 16400, 16444, 16395, 16604, 16442, 16415, 16418, 18317, 16399, 16399, 16399, 16405, 16444, 16392, 16397, 18916, 56293, 26570, 16673, 16719, 34141, 16395, 16647, 51705, 17250, 17249, 16697, 16459, 28519, 16954, 24020, 25436, 63182, 16647, 27760, 16673, 17250, 16657, 64666, 17689, 44810, 16758, 16671, 56095, 17250, 16657, 64666, 17334, 18737, 24594, 16758, 16604, 16391, 16450, 16422, 23801, 16392, 16741, 16641, 17711, 50700, 16397, 16875, 16816, 17253, 16689, 63265, 16395, 16811, 35812, 16756, 37943, 35694, 16395, 38409, 16395, 16674, 56293, 25732, 41618, 19865, 16715, 43842, 25584, 19134, 16604, 16391, 16442, 16415, 16418, 18317, 16399, 16399, 16399, 16401, 16444, 16395, 16604, 16442, 16415, 16418, 18317, 16399, 16399, 16399, 16402, 16444, 16392, 16397, 16772, 43441, 16396, 19064, 24020, 17257, 16804, 39079, 43441, 19962, 16410, 18919, 16395, 50485, 16673, 18462, 44914, 17989, 16811, 19599, 16704, 19865, 16715, 16719, 34141, 16396, 32435, 36602, 16673, 16655, 16422, 23801, 33319, 16604, 16391, 16442, 16415, 16418, 18317, 16399, 16399, 16399, 16405, 16444, 16392, 16397, 16582, 16582, 16853, 22009, 18814, 16673, 16647, 16816, 17253, 16689, 17288, 16820, 16719, 34141, 16398, 16429, 20714, 16396, 16417, 16398, 16450, 16422, 23801, 59330, 31133, 17560, 17301, 25584, 19134, 16872, 16992, 25402, 16672, 17259, 25201, 16674, 25998, 19831, 16397, 16875, 25878, 16395, 19364, 16785, 16816, 17253, 16689, 17288, 16820, 16396, 17346, 44005, 16719, 34141, 16604, 16391, 50559, 17830, 16604, 16393, 16429, 16780, 16450, 16393, 16392, 16785, 43775, 16396, 16417, 16604, 16391, 16393, 16429, 17336, 16401, 16393, 16392, 16774, 17901, 16942, 58853, 22660, 50688, 17502, 16604, 16391, 16442, 16415, 16418, 18317, 16399, 16399, 16399, 16402, 16444, 16395, 16604, 16442, 16415, 16418, 18317, 16399, 16399, 16399, 16406, 16444, 16392, 16397, 16875, 18206, 16395, 18826, 62066, 16906, 16785, 28758, 29452, 62066, 16906, 19260, 16396, 17663, 16396, 18570, 35715, 16673, 43775, 16396, 16417, 16604, 16391, 16428, 19806, 16604, 16443, 16386, 16400, 16399, 16407, 16408, 16405, 16400, 16392, 17474, 16671, 20169, 18187, 59264, 16395, 16734, 18187, 18998, 16673, 16647, 44472, 16395, 22660, 20425, 16717, 18802, 16935, 16472, 16697, 16673, 16647, 19531, 16674, 20510, 16395, 16674, 54260, 28552, 16938, 33340, 16395, 16641, 20249, 20472, 17263, 16787, 16659, 16680, 49047, 28552, 16938, 33340, 16395, 18383, 17853, 17692, 25654, 16604, 16391, 18759, 33021, 16395, 16727, 19806, 16604, 16443, 16386, 16405, 16399, 16401, 16407, 16406, 16404, 16392, 16604, 16391, 16442, 16415, 16418, 18317, 16399, 16399, 16399, 16407, 16444, 16392, 16397, 19921, 16771, 17929, 16395, 29452, 62066, 16906, 19260, 16396, 17663, 16396, 18570, 43775, 16396, 16417, 35715, 16769, 19970, 16734, 52772, 21999, 59264, 16604, 16391, 16428, 19806, 16604, 16443, 16386, 16405, 16400, 16405, 16401, 16404, 16404, 16392, 16604, 16391, 16442, 16415, 16418, 18317, 16399, 16399, 16399, 16408, 16444, 16395, 16604, 16442, 16415, 16418, 18317, 16399, 16399, 16400, 16399, 16444, 16392, 16397, 56185, 16395, 21477, 16396, 17663, 16396, 18570, 43775, 16396, 16417, 35715, 17474, 16671, 24639, 59264, 16395, 19702, 19970, 16734, 16641, 17853, 28332, 17819, 23746, 16730, 16395, 52412, 17483, 16745, 16935, 16472, 16697, 16395, 16674, 17184, 16723, 54953, 16395, 16641, 20249, 20472, 18887, 16919, 22018, 16710, 16666, 16816, 17253, 28514, 17129, 16938, 33340, 16395, 31660, 21989, 18383, 16604, 16391, 16428, 19806, 16604, 16443, 16386, 16405, 16400, 16404, 16408, 16401, 16402, 16392, 16604, 16391, 16442, 16415, 16418, 18317, 16399, 16399, 16400, 16400, 16444, 16392, 16397, 24586, 17274, 51705, 58948, 35715, 16673, 43775, 16396, 16417, 16807, 16992, 21766, 16672, 23304, 16409, 16647, 19523, 16407, 16407, 16402, 25449, 32911, 16704, 20186, 16672, 16647, 28519, 16954, 24020, 16604, 16391, 16442, 16415, 16418, 18317, 16399, 16399, 16400, 16400, 16444, 16392, 16410, 16647, 60741, 16403, 16407, 16407, 18023, 16674, 35287, 16405, 16404, 16404, 16418, 17129, 35715, 19291, 16647, 17242, 24510, 51158, 16674, 43441, 16396, 35523, 17595, 35057, 16395, 22358, 16604, 16391, 16442, 16415, 16418, 18317, 16399, 16399, 16400, 16401, 16444, 16395, 16604, 16442, 16415, 16418, 18317, 16399, 16399, 16400, 16402, 16444, 16392, 16397, 20919, 17274, 35715, 28282, 17490, 16647, 51615, 16674, 16719, 34141, 16396, 49576, 21111, 16655, 16422, 23801, 16396, 33244, 38505, 16673, 43775, 16396, 16417, 16395, 16728, 16763, 22738, 16721, 16873, 58853, 16641, 32735, 17194, 17928, 16944, 16704, 18655, 16671, 16721, 24934, 16809, 43775, 16396, 16417, 16672, 19208, 16671, 16719, 34141, 26570, 16604, 16391, 16442, 16415, 16418, 18317, 16399, 16399, 16400, 16403, 16444, 16392, 16397, 16582, 16582, 17071, 16811, 17556, 16395, 16742, 23467, 16641, 20318, 29452, 62066, 16906, 21477, 16396, 17663, 16396, 18570, 32911, 16655, 16397, 16400, 16403, 16403, 16403, 16446, 16400, 16403, 16403, 16408, 25910, 17841, 16422, 20091, 16422, 16672, 16794, 16645, 16604, 16407, 16673, 16604, 16393, 16429, 20714, 16401, 16393, 16395, 28033, 16671, 17539, 16672, 16647, 51425, 16673, 16604, 16401, 34226, 32245, 21166, 16403, 16407, 16401, 16396, 19375, 16468, 16403, 16407, 16402, 16672, 16647, 40479, 16786, 20673, 17242, 24510, 51158, 19599, 16673, 43775, 16396, 16417, 16397, 33465, 16671, 16647, 21216, 21766, 60741, 16403, 16407, 16407, 18023, 32911, 16672, 16811, 19599, 16604, 16391, 16442, 16415, 16418, 18317, 16399, 16399, 16400, 16401, 16444, 16392, 16395, 16811, 20318, 32911, 16704, 19970, 16734, 24639, 59264, 16674, 23776, 28514, 16935, 16472, 16697, 16673, 16647, 17369, 41491, 16604, 16391, 16934, 16919, 22018, 16710, 16666, 16816, 17253, 28514, 17129, 16938, 33340, 16395, 31660, 21989, 18383, 16392, 16397, 16582, 16582, 35948, 22933, 16674, 33486, 16604, 16474, 16386, 16466, 16400, 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, 16582, 16582, 56666, 16604, 16474, 16386, 16466, 16401, 16476, 16582, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16582, 16582, 17507, 23954, 16641, 17797, 16673, 28140, 24435, 16395, 17789, 16641, 19082, 16674, 16968, 16604, 16401, 30462, 16397, 16875, 27567, 26535, 16674, 17327, 16682, 16958, 21715, 16815, 16647, 16604, 16402, 18033, 18376, 16397, 28655, 23375, 16958, 21715, 16815, 16647, 19082, 16674, 65488, 16763, 21715, 16815, 16968, 30462, 16715, 18487, 36722, 16661, 16397, 51723, 16689, 19295, 25355, 16815, 16641, 20848, 50991, 16958, 21715, 16815, 16647, 19082, 16715, 16794, 37154, 19831, 16673, 43775, 16396, 16417, 19962, 16397, 17119, 19739, 51548, 55943, 43775, 16396, 16417, 20825, 16674, 19962, 16734, 51548, 19295, 25355, 16815, 16641, 20909, 16396, 18926, 16604, 16391, 46138, 16392, 43775, 16396, 16417, 21374, 27565, 16674, 16734, 16647, 21216, 20101, 18033, 16770, 16734, 16647, 58948, 35287, 16405, 16404, 16404, 16418, 17129, 43775, 16396, 16417, 32911, 16604, 16391, 16442, 16415, 16418, 18317, 16399, 16399, 16400, 16402, 16444, 16392, 16397, 16582, 16582, 16434, 19386, 41102, 16674, 19335, 16604, 16474, 16386, 16466, 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, 16582, 16582, 36666, 16763, 27894, 16815, 19546, 23375, 17655, 16647, 20561, 63162, 24133, 23963, 16604, 16391, 22194, 22326, 22310, 17043, 16395, 16762, 17338, 16707, 16395, 24636, 16395, 21119, 16392, 16397, 23642, 16815, 65488, 16763, 27894, 17655, 16647, 19771, 18317, 16396, 16427, 16401, 16431, 22121, 16604, 16391, 36666, 22226, 16701, 17305, 16395, 31773, 17180, 16395, 27662, 16395, 20242, 16392, 16397, 18312, 23720, 17802, 16715, 16604, 16393, 16429, 20714, 16401, 16393, 16763, 18138, 16709, 16641, 30019, 23286, 18125, 16709, 17973, 20818, 16459, 29703, 31830, 17904, 16399, 16399, 16399, 16399, 16399, 16402, 16403, 16401, 16405, 16408, 16403, 16397, 16405, 16674, 31830, 17904, 16399, 16399, 16399, 16399, 16399, 16401, 16405, 16404, 16399, 16406, 16403, 16397, 16400, 16402, 16395, 22358, 16397, 28277, 16756, 16958, 20087, 16715, 16858, 33610, 16794, 17112, 16674, 16647, 24284, 17371, 17751, 16398, 17345, 16645, 28847, 17655, 18312, 23720, 16402, 16395, 19288, 16604, 16403, 16397, 16400, 16397, 16399, 16604, 16391, 64218, 18125, 19028, 19181, 16392, 16397, 18235, 16938, 18698, 16673, 16647, 21578, 23273, 23349, 16763, 20888, 17655, 18054, 43761, 16464, 16796, 16401, 23642, 64927, 16396, 42669, 38331, 16604, 16391, 16431, 22791, 18517, 23813, 16395, 32642, 16395, 47272, 16395, 21119, 16392, 16674, 16763, 36563, 16809, 63445, 17040, 28170, 57111, 18896, 16656, 16397, 18312, 23720, 29886, 16674, 38331, 19527, 16769, 18125, 16709, 19181, 16397, 18916, 53316, 16809, 38331, 16395, 58767, 16395, 16674, 16819, 21027, 45289, 16670, 24726, 22776, 16604, 16391, 16431, 22791, 18517, 23813, 16392, 16958, 22111, 17655, 16794, 16645, 17495, 17804, 16687, 16604, 16391, 19524, 20635, 53131, 23132, 16395, 19376, 16395, 63553, 26976, 16395, 24636, 16395, 21119, 16392, 16674, 53263, 59718, 63351, 27689, 16649, 16954, 16604, 16391, 35433, 18987, 16395, 58093, 40677, 21209, 16395, 37259, 23474, 16396, 16396, 22579, 58093, 28347, 16395, 56845, 16395, 31562, 16392, 16397, 53241, 23062, 16763, 21996, 16891, 20206, 16709, 49430, 38812, 16734, 16647, 16711, 22477, 16604, 16402, 16400, 16399, 59314, 33811, 22339, 16604, 16391, 20323, 19844, 46792, 55373, 16395, 36313, 18660, 16395, 23279, 16395, 21119, 16392, 16395, 17655, 16667, 16711, 22477, 18312, 17502, 21093, 16419, 22196, 17902, 25977, 23093, 41102, 20008, 22570, 22121, 16395, 19288, 16604, 16400, 16397, 16400, 16604, 16391, 20323, 19844, 46792, 55373, 16392, 16397, 16772, 21093, 16419, 22196, 18126, 33095, 25977, 55462, 22121, 16763, 17405, 16741, 55462, 18197, 16715, 23642, 41102, 16734, 16647, 20380, 16673, 29241, 16819, 21027, 45289, 21093, 16419, 22196, 36860, 18619, 16397, 16772, 21057, 16673, 16647, 16604, 16393, 16429, 20714, 16401, 16393, 32911, 16672, 17490, 22499, 30462, 16763, 17027, 22557, 17655, 16702, 19386, 41102, 16397, 16582, 16582, 19068, 38718, 16674, 19995, 16673, 20848, 51548, 19295, 25355, 16674, 16655, 16422, 23801, 18638, 22928, 16604, 16474, 16386, 16466, 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, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 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, 58874, 18783, 18983, 16817, 16958, 18711, 16815, 16647, 18033, 16770, 16674, 16641, 21374, 16604, 16402, 16406, 16396, 18673, 16396, 17082, 21379, 16604, 16391, 25666, 16604, 16400, 16406, 16400, 27844, 16395, 16604, 16394, 16399, 16397, 16399, 16406, 19749, 39660, 21228, 16604, 16443, 16442, 16434, 22569, 16443, 16444, 16392, 16395, 16674, 51548, 55943, 28031, 16958, 20916, 16741, 21216, 20101, 16604, 16391, 16442, 16415, 16418, 18317, 16399, 16399, 16400, 16402, 16444, 16392, 16397, 51723, 16689, 19295, 25355, 16673, 16647, 21216, 20101, 18033, 16770, 16604, 16391, 18060, 19359, 16671, 16647, 19333, 28020, 17797, 16392, 16734, 16647, 58948, 35287, 16405, 16404, 16404, 16418, 17129, 43775, 16396, 16417, 32911, 16958, 19618, 16715, 23576, 16604, 16391, 16442, 16415, 16418, 18317, 16399, 16399, 16400, 16402, 16444, 16392, 16397, 23662, 21972, 16958, 20888, 16672, 19480, 21886, 16396, 22068, 16395, 33651, 16396, 16831, 59325, 30219, 20321, 16604, 16391, 16399, 16397, 16404, 16388, 49242, 53263, 33651, 16604, 16403, 18626, 17329 ]
[ 0, 16396, 16396, 16396, 16582, 38841, 16409, 16604, 16390, 33505, 39872, 51277, 16734, 65070, 29214, 16807, 16647, 19056, 16673, 56401, 16667, 16819, 48366, 21887, 19508, 28536, 16673, 16762, 19806, 22776, 16741, 17204, 16741, 25194, 22185, 17415, 25398, 31893, 25406, 39872, 51948, 20609, 16397, 16875, 16811, 19090, 16395, 16742, 26551, 16647, 29723, 16715, 65070, 51277, 16395, 17620, 16647, 26182, 22658, 16721, 17190, 65070, 25939, 18230, 16395, 16674, 18603, 16647, 20584, 16673, 16647, 26182, 18900, 16672, 16811, 18676, 16397, 16390, 16582, 32526, 16409, 16582, 16396, 16604, 16390, 36769, 26812, 21054, 16673, 22519, 16395, 16604, 16406, 16406, 27335, 25853, 16395, 29177, 16395, 24636, 16604, 16399, 16401, 16400, 16402, 16408, 16395, 21119, 16390, 16582, 16396, 16604, 16390, 47400, 17706, 18059, 16395, 16604, 16400, 16408, 16399, 16399, 16793, 16397, 16604, 16400, 16402, 16396, 16757, 20076, 16395, 26941, 16395, 25719, 16604, 16400, 16408, 16400, 16401, 16401, 16395, 21119, 16390, 16582, 26371, 16409, 16582, 16396, 16796, 19558, 47202, 16582, 16396, 16719, 16832, 20508, 18700, 16582, 16449, 34289, 20147, 16409, 16582, 16396, 16604, 16390, 16828, 16443, 16446, 33021, 16397, 54690, 16390, 16582, 23718, 16409, 16796, 16954, 16906, 25406, 39872, 21829, 65377, 16582, 16396, 16396, 16396, 16582, 16582, 38194, 16582, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16582, 16582, 38778, 17751, 41363, 16674, 42630, 18918, 28101, 16807, 19193, 19628, 16721, 25406, 39872, 16604, 16391, 33021, 16392, 16704, 21022, 16715, 16604, 16401, 16402, 16388, 16673, 16647, 18712, 20882, 16673, 16647, 34142, 16674, 16604, 16407, 16402, 16388, 16673, 17073, 19027, 18331, 16442, 16415, 16423, 16642, 43258, 16401, 16399, 16399, 16407, 16444, 16397, 16772, 17154, 29334, 22886, 16715, 25406, 39872, 16704, 16647, 16859, 16396, 25582, 63213, 16697, 20619, 47619, 56739, 18748, 17972, 16604, 16391, 16438, 19806, 16431, 16392, 16397, 16772, 23731, 16673, 16762, 19806, 22776, 16704, 31525, 22738, 16809, 36051, 16673, 21093, 25534, 42630, 17595, 16674, 30496, 43363, 17644, 37772, 31239, 24791, 17595, 18331, 16442, 16415, 38623, 17507, 16642, 20434, 16410, 16604, 16415, 17507, 16642, 20434, 16407, 16401, 16410, 16604, 16415, 16425, 17584, 17392, 16400, 16408, 16408, 16405, 16444, 16397, 16582, 16582, 20605, 16647, 17202, 16395, 17259, 17815, 25939, 25717, 16807, 16992, 20888, 16671, 19514, 16715, 22497, 23018, 19952, 18443, 16671, 39693, 41318, 16673, 16762, 19806, 22776, 17021, 16647, 52140, 16672, 16647, 20432, 21765, 16673, 16647, 37898, 16397, 16772, 17736, 20929, 16715, 17213, 25717, 16704, 16671, 38875, 16647, 35566, 16721, 49293, 16762, 19806, 16431, 16396, 31263, 22497, 23018, 19952, 16397, 22821, 16743, 16466, 19868, 25717, 16807, 24086, 21748, 36871, 16673, 44267, 35566, 16395, 17226, 16397, 16452, 16397, 16395, 57770, 16395, 41893, 16674, 33963, 27596, 16395, 16721, 16807, 16641, 23674, 28158, 16672, 16647, 37898, 16397, 18523, 16395, 16986, 16769, 21331, 16673, 21515, 16715, 16944, 16647, 37898, 19208, 16704, 20113, 29329, 16671, 16721, 16673, 16641, 16762, 19806, 16431, 16396, 31263, 23018, 16724, 16395, 17274, 16741, 16647, 42519, 41318, 16673, 24084, 26843, 16786, 16815, 16647, 20346, 18331, 16442, 16415, 22716, 32650, 16401, 16399, 16399, 16406, 16444, 16395, 16785, 16647, 39693, 41318, 16673, 24084, 28070, 21047, 18422, 16809, 19588, 21557, 34984, 16785, 16809, 17362, 16396, 35994, 45021, 42972, 16397, 16582, 16582, 20955, 51709, 16674, 24084, 53068, 26459, 16829, 16804, 20776, 18120, 16743, 16466, 25717, 16395, 16873, 16769, 19272, 16671, 18222, 22909, 21331, 16673, 21515, 17014, 16647, 21434, 16673, 30219, 25717, 30983, 16671, 51589, 16468, 17127, 32761, 16673, 18295, 27527, 16397, 16875, 20839, 31861, 25717, 16395, 16647, 21057, 16673, 17274, 35566, 17120, 42836, 16647, 16819, 48366, 21887, 27353, 16673, 16641, 25406, 39872, 21686, 17172, 24084, 26843, 16786, 16769, 22916, 16671, 38875, 16809, 29907, 16661, 16674, 31450, 51709, 35566, 16769, 60026, 18882, 16671, 20721, 18331, 16442, 16415, 20237, 16456, 16401, 16399, 16399, 16405, 16444, 16397, 16582, 16582, 17375, 16819, 48366, 21887, 19508, 27353, 16673, 16641, 25406, 39872, 21686, 17199, 16672, 21057, 16673, 24472, 24801, 16673, 20333, 16831, 34344, 17212, 35566, 17120, 17363, 16703, 24086, 16980, 16917, 17120, 53308, 16647, 28536, 16673, 16641, 22497, 23018, 16724, 16672, 16647, 37898, 16734, 16991, 19857, 22956, 23476, 32567, 28158, 16944, 17028, 21515, 17120, 49293, 16397, 17170, 16704, 16647, 18479, 16721, 22470, 17099, 65070, 25939, 16673, 25406, 39872, 16397, 16582, 16582, 16853, 25406, 39872, 21157, 16604, 16582, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16582, 16582, 16853, 21852, 29992, 27164, 16673, 17038, 30958, 23649, 16721, 16767, 16647, 25398, 31893, 34064, 16673, 16647, 20346, 16647, 25398, 31893, 19056, 16872, 16641, 18650, 25346, 16815, 25406, 39872, 16397, 16772, 25406, 39872, 21559, 16672, 17038, 30958, 16395, 18919, 16395, 16704, 31416, 48339, 16397, 16711, 25662, 17405, 30219, 21559, 16395, 16647, 19749, 19851, 51948, 18528, 18331, 16442, 16415, 36166, 47752, 16642, 16400, 16408, 16408, 16399, 16444, 16395, 39598, 16641, 17975, 16396, 24116, 17160, 16395, 16704, 54658, 36656, 32900, 16891, 16671, 16604, 16404, 16399, 16822, 25708, 16815, 16647, 25398, 31893, 20128, 16397, 16772, 30219, 30736, 16704, 20101, 16809, 16641, 45554, 16396, 16417, 25942, 16473, 23474, 21559, 16734, 48267, 16604, 16387, 16443, 24565, 16446, 16469, 16412, 16400, 16404, 16404, 16387, 22751, 16398, 16466, 16397, 17828, 45559, 16734, 16647, 30219, 51948, 16704, 16647, 25398, 31893, 28951, 16673, 40295, 16906, 26874, 18798, 16395, 41256, 16734, 18577, 16671, 16647, 51948, 16395, 16734, 16667, 19183, 50977, 30736, 16673, 16931, 16604, 16401, 16401, 16399, 22751, 16398, 16466, 16767, 16647, 34064, 16673, 16647, 23838, 17434, 16397, 23466, 16672, 16811, 18528, 16395, 16667, 41729, 16709, 21827, 16961, 17134, 16641, 18785, 16673, 30219, 27596, 16734, 19183, 30736, 16673, 16604, 16401, 16401, 16399, 22751, 16398, 16466, 16397, 16582, 16582, 16853, 25406, 39872, 18785, 25496, 17142, 55412, 19938, 16397, 16772, 17092, 16763, 24440, 16891, 16672, 16604, 16400, 16408, 16407, 16405, 16809, 35835, 16458, 17478, 16395, 21432, 19451, 16395, 16674, 16702, 16874, 27138, 18331, 16442, 16415, 16419, 17011, 16458, 17478, 16400, 16408, 16407, 16405, 16444, 16929, 28033, 16721, 16647, 21827, 16743, 16466, 22846, 20192, 16671, 16647, 25398, 31893, 51948, 22277, 16671, 16667, 20741, 46749, 16673, 16647, 20627, 16673, 26459, 21852, 18568, 16641, 18244, 27421, 16672, 17815, 25939, 25717, 16397, 16875, 17073, 20741, 29992, 17473, 16647, 20346, 16395, 16647, 21827, 16743, 16466, 50977, 30736, 16872, 16641, 22825, 16721, 16704, 20381, 16396, 58717, 16671, 16647, 30219, 18785, 17560, 16647, 19979, 16395, 16674, 26965, 16671, 16728, 17560, 16647, 22692, 16397, 17376, 16641, 17539, 16395, 16647, 21595, 30736, 16673, 16647, 30219, 18785, 16868, 19031, 16604, 16391, 17094, 17095, 16954, 16392, 16809, 16931, 16604, 16400, 16399, 16388, 16672, 19979, 16604, 16391, 54583, 16392, 16395, 19868, 16671, 16641, 24284, 19031, 16604, 16391, 17094, 17095, 16954, 16392, 16673, 16647, 21852, 20627, 16672, 30219, 51277, 16397, 26126, 16395, 16811, 17717, 16704, 18882, 16671, 20897, 17172, 16647, 35559, 46749, 16704, 19272, 16671, 16703, 17785, 16604, 16391, 16448, 17589, 16604, 16388, 16392, 16674, 17238, 17747, 16671, 16952, 16682, 22780, 16815, 16977, 33444, 19938, 16395, 17274, 16741, 16647, 35559, 34814, 16673, 21515, 20627, 16397, 18708, 26182, 29144, 20542, 16641, 27893, 16709, 16647, 18961, 23574, 28536, 16673, 16647, 40130, 33668, 42437, 16809, 16647, 16759, 40874, 16398, 16427, 24676, 21162, 25097, 18331, 16442, 16415, 43181, 37300, 16401, 16399, 16399, 16407, 16444, 16397, 16582, 16582, 16416, 21036, 46749, 16673, 16647, 16762, 19806, 16431, 21686, 16763, 24440, 16891, 16809, 16702, 16874, 27138, 18331, 16442, 16415, 16434, 16874, 27138, 16444, 16672, 16604, 16400, 16408, 16407, 16407, 16397, 16772, 21827, 53256, 17473, 17073, 29722, 16734, 16641, 18472, 16673, 16604, 16401, 16403, 18194, 21760, 18626, 16397, 20919, 17073, 29992, 29722, 16704, 38132, 16767, 16604, 16403, 16407, 16387, 16445, 16443, 28214, 16387, 16734, 18577, 16671, 16647, 20715, 16673, 16647, 30219, 18785, 16395, 16667, 41729, 16709, 21827, 24711, 16647, 19183, 20715, 16673, 16647, 16762, 19806, 22776, 17928, 16809, 16604, 16408, 16405, 16387, 16445, 16443, 28214, 16387, 17155, 16604, 16400, 16401, 18194, 21760, 18626, 16397, 17170, 46749, 16672, 27797, 20715, 17208, 16703, 16941, 16723, 29978, 16809, 16641, 25406, 39872, 65070, 37898, 16395, 16693, 16397, 16454, 16397, 16395, 16641, 37898, 17914, 16671, 21349, 16647, 20715, 16673, 16647, 30219, 27596, 16397, 20361, 28609, 16395, 17028, 18365, 21515, 16704, 37033, 16734, 16647, 20715, 16673, 16647, 30219, 18785, 16397, 23466, 16395, 16641, 65070, 37898, 17120, 18262, 16647, 18474, 16671, 16647, 16819, 48366, 21887, 28536, 16673, 25406, 39872, 16397, 16582, 16582, 17071, 18150, 16671, 21515, 36871, 16395, 16647, 27771, 16673, 16647, 20715, 16673, 16647, 27797, 16673, 25406, 39872, 27596, 16843, 54220, 18331, 16442, 16415, 48165, 16456, 16400, 16408, 16408, 16408, 16410, 16604, 16415, 16437, 23211, 26054, 16401, 16399, 16399, 16402, 16410, 16604, 16415, 58828, 16401, 16399, 16399, 16403, 16410, 16604, 16415, 34093, 19451, 16401, 16399, 16399, 16404, 16410, 16604, 16415, 18342, 16652, 26476, 16401, 16399, 16399, 16407, 16444, 17415, 19001, 30219, 51948, 36571, 17789, 16647, 19749, 19851, 51948, 18528, 16395, 20609, 16734, 32578, 16673, 16762, 19806, 22776, 16395, 16647, 16702, 17442, 16821, 16855, 19164, 16396, 16642, 23676, 51948, 18528, 18331, 16442, 16415, 16434, 17442, 16821, 16855, 16400, 16408, 16408, 16408, 16410, 16604, 16415, 16435, 16458, 19747, 16469, 16400, 16408, 16408, 16406, 16410, 16604, 16415, 16434, 17442, 16821, 16855, 16400, 16408, 16408, 16404, 16444, 16395, 16674, 16977, 60264, 35911, 20609, 16397, 16772, 28750, 17803, 16704, 18613, 28282, 16980, 16641, 27771, 16673, 16647, 18870, 16741, 17204, 16741, 16647, 20715, 16673, 16762, 19806, 22776, 16704, 18230, 18331, 16442, 16415, 30385, 16401, 16399, 16399, 16406, 16444, 16397, 17170, 30386, 18199, 65070, 51277, 19857, 19615, 34509, 16715, 31450, 16762, 19806, 16431, 56107, 16397, 16582, 16582, 55399, 16666, 25406, 39872, 57688, 16604, 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, 18811, 25406, 39872, 27596, 25566, 16734, 19607, 18798, 16395, 16873, 56462, 17448, 35421, 17021, 16647, 35920, 16674, 24339, 22497, 23018, 19952, 16734, 23850, 39021, 16604, 16387, 16420, 16446, 16433, 16387, 16673, 16641, 17589, 31146, 16673, 17254, 16437, 16395, 16741, 22360, 16672, 16922, 18686, 16672, 19648, 18331, 16443, 16442, 16429, 30422, 17506, 17435, 19952, 16443, 16444, 16397, 16772, 20715, 16673, 16647, 23018, 20883, 44714, 18561, 19919, 16647, 20715, 16673, 16647, 36464, 30219, 31239, 16397, 17999, 29729, 16647, 20217, 46749, 16672, 16647, 20715, 16673, 16647, 30219, 18785, 16395, 16667, 38325, 23544, 16673, 16604, 16401, 16399, 17064, 16402, 16399, 23757, 16672, 16647, 37528, 16673, 16647, 23018, 16724, 44714, 16704, 23454, 16395, 17172, 16647, 41892, 20790, 16672, 20715, 16673, 16647, 30219, 18785, 16704, 16604, 16387, 16443, 36167, 16387, 16604, 16403, 16404, 23757, 16397, 50875, 16721, 17242, 16396, 32825, 35361, 27544, 23544, 16843, 16703, 24086, 16395, 16647, 20570, 16673, 16641, 23018, 16724, 19458, 16872, 16671, 16703, 16673, 16767, 17965, 16604, 16400, 17064, 16401, 25737, 16395, 16944, 16843, 16703, 21715, 16809, 17655, 16641, 17238, 26022, 17406, 20074, 16741, 16641, 18821, 18651, 16397, 16582, 16582, 17375, 23353, 65070, 37898, 17208, 18288, 16641, 16604, 16402, 16396, 16419, 27280, 37528, 16673, 16647, 23018, 16724, 19458, 16734, 16641, 31517, 23544, 16673, 16641, 17589, 20531, 27520, 28070, 16672, 17492, 34446, 16395, 16674, 29527, 16641, 17238, 18229, 18712, 27421, 16734, 16667, 21748, 21515, 36871, 30386, 16397, 24423, 16641, 37898, 16961, 16703, 17914, 16671, 23688, 42089, 32392, 16673, 16647, 23018, 16724, 20715, 16395, 16674, 27626, 21986, 16647, 28158, 16673, 16641, 16762, 19806, 16431, 18785, 16395, 16734, 16994, 16641, 29857, 16673, 19122, 18331, 16442, 16415, 58828, 16401, 16399, 16399, 16403, 16444, 16397, 16582, 16582, 21549, 19193, 16395, 20779, 16674, 27265, 18331, 16442, 16415, 30385, 16401, 16399, 16399, 16406, 16444, 23954, 17072, 16647, 17679, 16673, 19122, 19865, 16671, 20897, 16647, 16762, 19806, 16431, 18785, 23825, 16709, 16647, 37898, 18980, 16672, 19246, 16673, 18712, 27421, 16395, 21515, 20627, 16395, 16604, 16401, 16396, 16419, 26041, 16604, 16402, 16396, 16419, 37528, 16673, 16647, 22497, 23018, 16724, 16395, 16674, 19629, 16671, 21349, 16647, 18870, 16673, 16647, 20715, 16809, 25194, 22185, 17415, 16647, 16604, 16894, 18573, 16900, 16674, 16604, 16894, 30639, 16900, 16673, 16647, 23018, 16724, 19458, 16397, 16772, 22243, 26302, 17405, 16715, 16811, 18077, 39598, 16641, 26546, 16387, 16446, 16401, 16387, 16695, 16954, 16906, 16700, 21805, 19264, 16767, 16604, 16399, 16397, 16399, 16404, 18740, 17655, 16604, 16401, 16399, 16399, 16604, 16387, 16443, 21685, 16387, 16460, 34223, 17337, 16833, 20557, 16604, 16402, 16396, 16419, 37528, 16673, 16647, 22497, 23018, 16724, 16674, 16604, 16894, 18573, 16396, 30639, 16900, 28750, 16397, 16772, 18712, 27421, 16704, 26511, 16671, 16703, 16604, 16401, 16399, 17254, 16437, 16395, 16734, 19303, 21515, 36871, 16397, 16875, 17274, 16641, 26302, 16395, 16604, 16406, 19122, 16961, 16703, 23454, 16671, 21177, 28536, 16673, 16647, 16762, 19806, 16431, 18785, 16767, 16604, 16408, 16399, 16388, 16719, 16397, 16427, 16397, 16397, 16875, 21057, 16673, 21515, 16734, 16702, 16398, 16429, 16412, 16400, 16395, 16647, 17679, 16673, 19122, 19865, 16671, 23688, 42089, 32392, 16961, 19031, 16809, 16641, 21348, 16604, 16401, 16397, 17426, 17097, 16604, 16401, 16419, 37528, 16704 ]
[ 0, 16396, 16396, 16396, 16582, 38841, 16409, 16604, 16390, 16442, 30161, 16387, 16446, 16474, 16401, 16476, 16387, 23403, 16387, 16446, 16474, 16401, 16476, 16387, 21754, 16387, 16446, 16474, 16405, 16476, 16387, 16444, 16474, 16476, 16872, 16992, 16673, 17654, 16715, 22231, 16395, 16741, 16728, 16704, 16917, 16673, 17097, 16641, 17589, 26370, 28931, 28406, 38833, 19878, 20595, 18257, 17035, 16397, 37460, 16395, 16811, 18651, 16872, 16992, 33572, 17292, 18443, 16671, 17073, 19056, 16741, 16641, 16604, 16401, 41959, 19878, 20595, 18257, 16661, 28406, 16787, 18410, 16688, 16674, 16641, 29386, 16671, 37820, 44727, 29355, 28966, 20742, 19619, 16672, 58407, 17399, 43353, 16397, 18523, 16395, 17259, 21646, 21454, 16673, 16604, 16442, 30161, 16387, 16446, 16474, 16401, 16476, 16387, 23403, 16387, 16446, 16474, 16401, 16476, 16387, 21754, 16387, 16446, 16474, 16405, 16476, 16387, 16444, 16474, 16476, 17363, 20397, 31416, 23999, 16395, 18839, 16647, 23903, 16396, 64388, 16645, 36202, 25573, 16671, 17020, 16974, 20364, 16395, 18180, 22629, 16755, 17139, 16395, 29038, 50696, 16395, 26683, 36437, 16674, 16647, 28185, 16673, 17301, 18898, 17970, 16709, 16647, 26684, 23520, 17384, 16397, 17119, 22597, 16647, 63929, 17415, 16647, 42652, 16674, 34025, 17502, 17181, 17362, 23544, 20338, 16396, 16433, 27504, 41318, 27615, 17030, 16647, 21452, 18898, 16815, 16604, 16400, 16399, 16908, 16671, 16604, 16402, 16401, 16404, 16908, 16397, 34695, 23903, 16396, 64388, 16645, 36202, 19938, 16769, 22557, 16815, 19705, 22797, 16409, 17142, 18229, 18712, 30725, 54549, 16672, 16647, 28406, 38833, 21876, 16395, 26683, 16951, 16676, 17272, 19456, 41318, 16672, 20556, 34050, 21876, 16395, 16647, 46334, 16645, 39021, 16673, 17567, 30725, 17299, 18271, 16903, 17195, 19057, 16604, 16442, 16435, 16387, 16446, 16474, 16418, 16476, 16387, 16444, 16474, 16476, 16395, 16674, 16647, 46334, 16645, 23248, 51782, 16466, 17928, 32296, 19057, 16604, 16442, 16435, 16387, 16446, 16474, 16418, 16476, 16387, 16444, 16474, 16476, 16741, 17204, 16397, 19736, 18466, 18288, 16647, 17092, 34813, 16673, 23903, 16396, 64388, 16645, 36202, 16672, 16641, 19056, 16604, 16401, 41959, 37700, 30050, 16397, 16390, 16582, 32526, 16409, 16582, 16396, 16604, 16390, 39770, 16673, 37012, 16395, 18059, 16673, 25572, 16395, 23272, 16727, 16404, 16434, 16604, 16400, 16416, 16406, 20242, 16390, 16582, 16396, 16604, 16390, 39770, 16673, 37012, 16395, 23448, 19780, 16604, 16400, 16403, 16399, 34712, 31011, 51102, 29217, 21266, 24636, 16604, 16399, 16401, 16403, 16405, 16406, 16396, 16402, 16407, 16399, 16403, 21119, 16390, 16582, 16396, 16604, 16390, 39770, 16673, 39991, 16395, 41958, 18059, 16395, 41958, 16395, 33721, 16604, 16399, 16407, 16404, 16403, 16399, 21119, 16390, 16582, 16396, 16604, 16390, 39770, 16673, 39991, 16395, 41958, 18059, 16395, 41958, 16395, 33721, 16604, 16399, 16407, 16404, 16403, 16399, 21119, 16390, 16582, 16396, 16604, 16390, 39770, 16673, 37012, 16395, 23448, 19780, 16604, 16400, 16403, 16399, 34712, 31011, 51102, 29217, 21266, 24636, 16604, 16399, 16401, 16403, 16405, 16406, 16396, 16402, 16407, 16399, 16403, 21119, 16390, 16582, 26371, 16409, 16582, 16396, 16966, 23781, 54905, 16582, 16396, 16604, 16390, 16428, 17354, 16832, 16397, 33107, 16390, 16582, 16396, 16751, 21031, 27904, 38032, 16582, 16396, 16604, 16390, 16433, 16397, 16832, 16397, 16719, 19549, 16390, 16582, 16396, 16604, 16390, 54739, 17078, 16702, 16397, 16738, 18279, 16390, 16582, 23718, 16409, 16604, 16390, 50239, 28466, 16396, 22310, 19456, 36129, 25366, 16672, 16641, 19056, 28406, 38833, 16604, 16401, 16419, 50917, 37605, 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, 16442, 30161, 16387, 16446, 16474, 16401, 16476, 16387, 23403, 16387, 16446, 16474, 16401, 16476, 16387, 21754, 16387, 16446, 16474, 16405, 16476, 16387, 16444, 16474, 16476, 16704, 16641, 20278, 19550, 18651, 17608, 16728, 16704, 16672, 16647, 17238, 21041, 17568, 16673, 28406, 38833, 19878, 20595, 18257, 17035, 16674, 46109, 16641, 54691, 16395, 20113, 17142, 41959, 20189, 18443, 16671, 20484, 23452, 34353, 17229, 29097, 16442, 16415, 16418, 31488, 16446, 30526, 16410, 16604, 16415, 17151, 16401, 16399, 16400, 16403, 25907, 16471, 16820, 16444, 16397, 37460, 16811, 18651, 16872, 16992, 33572, 17292, 16741, 16641, 29386, 16715, 16647, 19134, 16673, 16647, 58407, 17399, 30433, 16604, 16442, 30948, 16387, 16446, 16474, 16401, 16476, 16387, 21754, 16387, 16446, 16474, 16402, 16476, 16387, 16444, 16474, 16476, 16671, 18077, 16647, 44727, 29355, 28966, 20742, 17717, 16442, 16415, 29484, 16446, 16418, 31488, 16446, 44409, 16768, 16446, 36809, 16444, 16397, 26713, 16647, 20484, 23452, 34353, 17229, 29097, 17190, 16728, 16641, 22886, 17142, 41959, 37700, 30050, 16395, 16944, 16704, 28033, 16741, 16641, 20208, 16671, 18077, 16604, 16401, 16419, 19878, 20595, 18257, 16661, 28406, 16787, 18410, 17499, 16674, 16715, 18494, 54691, 17020, 16974, 35367, 20988, 16442, 16415, 16466, 16821, 32910, 16401, 16399, 16400, 16404, 16460, 34050, 16444, 16397, 16875, 17274, 20988, 16395, 23903, 16396, 64388, 16645, 36202, 16843, 16703, 16641, 18474, 21348, 16672, 16647, 26683, 16674, 29038, 40644, 22089, 16442, 16415, 64073, 17063, 16959, 16401, 16399, 16399, 16403, 64388, 16645, 16410, 16604, 16415, 17339, 27466, 17558, 16401, 16399, 16400, 16402, 23650, 16410, 16604, 16415, 16457, 17431, 17035, 20411, 16401, 16399, 16400, 16400, 46460, 16444, 16395, 17437, 30484, 16977, 20318, 19938, 17274, 16741, 18180, 22629, 16689, 19828, 16798, 16442, 16415, 16470, 24093, 16642, 24534, 16401, 16399, 16400, 16401, 46494, 16410, 16604, 16415, 17110, 16661, 16401, 16399, 16400, 16399, 46460, 16444, 16397, 53571, 16734, 16647, 17551, 16721, 20287, 21338, 45890, 16725, 16672, 26684, 17197, 16469, 17308, 16704, 25573, 16395, 16728, 16704, 17889, 16671, 22597, 16647, 46334, 16645, 28578, 16674, 16914, 63929, 16734, 16647, 34025, 17502, 16672, 16604, 16442, 30161, 16387, 16446, 16474, 16401, 16476, 16387, 23403, 16387, 16446, 16474, 16401, 16476, 16387, 21754, 16387, 16446, 16474, 16405, 16476, 16387, 16444, 16474, 16476, 16397, 28106, 16395, 18961, 19831, 16807, 19628, 16647, 29038, 50696, 16673, 17073, 31858, 28758, 16604, 16442, 30161, 16387, 16446, 16474, 16401, 16476, 16387, 34948, 16387, 16446, 16474, 16401, 16476, 16387, 21754, 16387, 16446, 16474, 16405, 16476, 16387, 16444, 16474, 16476, 25544, 16697, 23361, 16734, 21452, 16672, 16647, 20556, 34050, 21876, 16395, 27742, 18354, 23903, 16396, 64388, 16645, 36202, 16704, 25573, 16672, 17213, 21024, 16442, 16415, 19111, 16462, 16401, 16399, 16400, 16404, 23650, 16444, 16397, 18523, 16986, 16769, 19333, 17028, 17815, 50167, 16673, 16647, 46334, 16645, 28578, 16673, 16604, 16442, 30161, 16387, 16446, 16474, 16401, 16476, 16387, 23403, 16387, 16446, 16474, 16401, 16476, 16387, 21754, 16387, 16446, 16474, 16405, 16476, 16387, 16444, 16474, 16476, 16395, 17723, 19958, 16647, 23903, 16396, 64388, 16645, 36202, 16397, 24423, 19831, 16769, 25573, 16715, 20287, 16647, 19056, 18814, 16673, 20884, 28466, 16396, 46228, 19938, 16721, 17120, 16703, 20854, 16671, 16647, 26683, 20937, 16673, 16604, 16442, 30161, 16387, 16446, 16474, 16401, 16476, 16387, 23403, 16387, 16446, 16474, 16401, 16476, 16387, 21754, 16387, 16446, 16474, 16405, 16476, 16387, 16444, 16474, 16476, 16741, 16641, 16604, 16401, 16419, 37700, 30050, 16674, 19056, 45488, 20884, 28466, 16396, 46228, 19729, 16397, 43309, 17521, 21452, 27158, 61505, 41318, 16704, 24134, 34308, 16715, 17274, 19831, 16741, 16728, 16704, 17204, 20916, 16715, 30742, 16647, 46334, 16645, 28578, 16674, 16647, 23903, 16396, 64388, 16645, 36202, 16672, 29571, 16674, 16604, 16401, 16419, 37700, 42208, 16442, 16415, 62097, 16446, 16423, 18104, 16837, 21362, 16446, 19448, 16657, 16410, 16604, 16415, 16433, 27504, 16446, 42911, 17873, 16446, 16422, 18190, 45129, 16410, 16604, 16415, 16433, 27504, 16446, 16454, 18190, 45129, 16410, 16604, 16415, 16431, 16770, 18836, 16401, 16399, 16400, 16402, 16410, 16604, 16415, 48979, 16724, 18376, 16401, 16399, 16400, 16399, 16684, 18038, 16410, 16604, 16415, 16473, 49349, 16401, 16399, 16400, 16400, 46388, 17404, 16725, 16410, 16604, 16415, 18336, 50950, 16401, 16399, 16399, 16406, 55686, 16410, 16604, 16415, 16466, 31122, 16401, 16399, 16400, 16402, 55686, 16410, 16604, 16415, 57094, 17521, 16446, 19448, 16657, 16446, 46165, 16446, 17663, 16446, 16417, 24568, 16410, 16604, 16415, 16451, 16791, 17084, 31515, 16401, 16399, 16400, 16399, 40077, 19310, 16444, 16397, 46307, 16671, 16977, 22658, 16395, 16641, 17362, 23544, 61505, 45652, 16843, 19458, 17242, 16396, 16442, 22220, 16387, 16445, 16474, 16396, 16400, 16476, 16387, 16444, 16474, 16476, 19029, 16671, 43005, 30822, 17131, 39211, 28792, 16397, 16711, 34813, 16673, 61505, 19831, 16673, 16604, 16442, 30161, 16387, 16446, 16474, 16401, 16476, 16387, 23403, 16387, 16446, 16474, 16401, 16476, 16387, 21754, 16387, 16446, 16474, 16405, 16476, 16387, 16444, 16474, 16476, 16843, 16703, 21408, 27759, 16715, 16647, 18368, 18077, 16673, 16647, 16794, 21533, 29980, 16604, 16401, 16419, 28406, 16787, 18410, 17499, 16397, 16582, 16582, 16384, 16442, 46501, 24749, 20189, 16673, 16604, 16442, 30161, 16387, 16446, 16474, 16401, 16476, 16387, 23403, 16387, 16446, 16474, 16401, 16476, 16387, 21754, 16387, 16446, 16474, 16405, 16476, 16387, 16444, 16474, 16476, 16397, 16772, 20666, 18155, 16704, 24483, 16809, 16647, 18908, 22954, 16397, 21788, 16674, 18649, 21290, 16646, 16769, 19575, 16647, 34307, 16448, 17246, 16735, 22257, 16809, 17880, 35920, 16397, 18483, 18848, 16673, 16647, 34307, 16448, 17246, 16735, 16769, 22476, 16809, 18649, 16396, 23403, 21290, 16756, 17437, 16647, 16977, 16704, 22476, 16809, 21788, 41531, 28931, 16641, 50338, 32421, 33604, 42652, 16397, 16442, 16444, 16474, 19280, 16396, 19974, 16412, 16385, 19327, 16409, 16418, 31488, 16446, 43889, 16385, 16476, 16444, 16391, 16418, 31488, 16446, 16459, 39004, 16446, 43889, 16397, 22294, 16392, 16474, 21660, 16412, 16385, 16399, 16397, 16404, 16443, 27253, 21660, 16385, 16476, 16582, 16582, 16384, 16442, 16391, 16448, 16392, 16409, 61505, 38263, 16673, 16604, 16442, 30161, 16387, 16446, 16474, 16401, 16476, 16387, 23403, 16387, 16446, 16474, 16401, 16476, 16387, 21754, 16387, 16446, 16474, 16405, 16476, 16387, 16444, 16474, 16476, 18711, 16672, 17476, 19527, 16397, 17958, 16647, 38263, 16769, 18711, 16767, 16604, 16402, 16399, 16399, 16908, 16397, 16772, 61505, 38263, 16673, 16647, 18398, 16396, 23634, 17737, 22281, 18937, 30505, 16674, 26216, 61505, 30725, 16395, 29074, 16647, 24261, 16673, 24821, 18302, 16397, 16604, 16391, 16449, 16392, 16409, 41120, 17521, 61505, 34122, 16735, 16673, 16604, 16442, 30161, 16387, 16446, 16474, 16401, 16476, 16387, 23403, 16387, 16446, 16474, 16401, 16476, 16387, 21754, 16387, 16446, 16474, 16405, 16476, 16387, 16444, 16474, 16476, 16672, 40351, 16674, 18126, 16440, 36261, 16767, 16604, 16401, 16406, 16399, 16908, 16395, 21317, 16647, 17476, 40112, 16673, 16647, 46334, 16645, 30725, 16397, 16442, 16444, 16474, 19280, 16396, 19974, 16412, 16385, 16405, 16402, 16402, 16446, 16404, 16402, 16401, 16446, 23369, 17831, 16446, 19448, 16657, 16385, 16476, 16444, 16391, 16418, 31488, 16446, 16404, 16402, 16401, 37708, 16446, 24925, 39275, 17737, 16446, 18581, 26134, 16446, 16402, 16399, 16399, 16458, 16446, 26267, 16446, 45650, 16397, 22294, 16604, 16385, 19327, 16409, 16385, 16392, 16474, 21660, 16412, 16385, 16443, 19327, 17342, 17356, 16385, 16476, 16443, 16582, 16582, 17071, 16811, 19420, 16395, 16742, 26157, 16647, 27156, 16673, 16794, 21533, 46207, 16604, 16442, 30161, 16387, 16446, 16474, 16401, 16476, 16387, 23403, 16387, 16446, 16474, 16401, 16476, 16387, 21754, 16387, 16446, 16474, 16405, 16476, 16387, 16444, 16474, 16476, 16395, 16741, 17204, 16741, 16647, 37124, 16673, 18045, 16859, 16672, 18398, 16397, 25537, 16697, 16742, 17393, 16647, 61505, 38263, 16673, 16604, 16442, 30161, 16387, 16446, 16474, 16401, 16476, 16387, 23403, 16387, 16446, 16474, 16401, 16476, 16387, 21754, 16387, 16446, 16474, 16405, 16476, 16387, 16444, 16474, 16476, 16769, 24906, 35400, 16895, 16809, 23659, 16671, 18398, 16395, 16850, 16604, 16442, 30161, 16387, 16446, 16474, 16401, 16476, 16387, 23403, 16387, 16446, 16474, 16401, 16476, 16387, 21754, 16387, 16446, 16474, 16405, 16476, 16387, 16444, 16474, 16476, 16794, 21533, 29980, 16672, 16641, 52627, 19491, 27873, 29571, 16945, 38263, 16397, 16875, 18150, 16395, 16742, 17393, 18354, 19591, 16715, 23903, 16396, 64388, 16645, 36202, 16672, 29571, 16604, 16442, 30161, 16387, 16446, 16474, 16401, 16476, 16387, 23403, 16387, 16446, 16474, 16401, 16476, 16387, 21754, 16387, 16446, 16474, 16405, 16476, 16387, 16444, 16474, 16476, 16395, 19565, 61571, 21452, 27158, 61505, 49471, 16397, 16772, 23903, 16396, 64388, 16645, 36202, 16872, 16992, 22557, 16672, 19705, 19223, 16409, 19057, 16604, 16442, 16435, 16387, 16446, 16474, 16418, 16476, 16387, 16444, 16474, 16476, 16742, 29729, 16641, 24105, 16673, 17142, 46334, 16645, 30725, 18443, 16671, 16647, 24820, 16673, 17005, 49835, 40112, 16410, 16641, 48645, 16951, 16652, 28132, 16673, 26683, 16951, 16676, 17272, 19456, 41318, 16410, 16667, 44727, 29355, 17747, 18998, 16673, 16667, 19642, 17567, 30725, 16410, 16674, 16641, 27619, 25909, 16673, 16647, 46334, 16645, 20066, 18869, 19028, 30202, 17065, 16647, 20556, 34050, 21876, 16397, 19736, 18466, 17027, 18510, 16647, 23384, 16673, 18033, 16661, 16647, 20884, 28466, 16396, 46228, 36202, 17655, 61505, 49471, 16395, 20994, 16647, 19783, 16715, 18613, 19831, 16673, 16794, 21533, 29980, 16604, 16401, 16419, 16604, 16442, 30161, 16387, 16446, 16474, 16401, 16476, 16387, 23403, 16387, 16446, 16474, 16401, 16476, 16387, 21754, 16387, 16446, 16474, 16405, 16476, 16387, 16444, 16474, 16476, 16397, 16582, 16582, 16443, 16442, 19810, 16409, 23634, 16443, 16444, 16442, 24719, 23728, 16444, 16474, 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, 16582 ]
[ 0, 38194, 16604, 16474, 16386, 37256, 16400, 16476, 16582, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16582, 16582, 21070, 16396, 24337, 24725, 16604, 16391, 19583, 16396, 33021, 16392, 16395, 22484, 21365, 16741, 19546, 32714, 19415, 18568, 19732, 16850, 19057, 26600, 57480, 16395, 16872, 16992, 20209, 32612, 16674, 16872, 16641, 17362, 19489, 16673, 21625, 26600, 54008, 34282, 16604, 16391, 33021, 16392, 16445, 16442, 16415, 23965, 16400, 16444, 16445, 16397, 16999, 16704, 23381, 16721, 16986, 16958, 16604, 16402, 16400, 16407, 18115, 22710, 24171, 16815, 39859, 32714, 33041, 16672, 16647, 17394, 16809, 16604, 16401, 16399, 16400, 16404, 16445, 16442, 16415, 23965, 16401, 16444, 16445, 16397, 17376, 16671, 16647, 20917, 22739, 19971, 16395, 16641, 19532, 16396, 50951, 22309, 16672, 16604, 16401, 16399, 16400, 16399, 19074, 16721, 16647, 23381, 33645, 16673, 17036, 16396, 33021, 16763, 16604, 16404, 16399, 16397, 16400, 16388, 16445, 16442, 16415, 23965, 16402, 16444, 16445, 16397, 34617, 19831, 16445, 16442, 16415, 23965, 16403, 16444, 16445, 16807, 19628, 16721, 16931, 16604, 16404, 16396, 16396, 16400, 16399, 16388, 16673, 17036, 16396, 33021, 46450, 16671, 30219, 17155, 16987, 16395, 16674, 35534, 24068, 41160, 16718, 43858, 22277, 16671, 16647, 32126, 16721, 16769, 16647, 18166, 19419, 16673, 60435, 16395, 30174, 16395, 16674, 17985, 16397, 62013, 16395, 17664, 16704, 16641, 18545, 41001, 16721, 16811, 19588, 18496, 16704, 16804, 32476, 16445, 16442, 16415, 23965, 16404, 16444, 16445, 16397, 39255, 17521, 24389, 26364, 20332, 16721, 26555, 26536, 16785, 32714, 16396, 36502, 16661, 31607, 17120, 23088, 16674, 17199, 27123, 16647, 19588, 18067, 16673, 17036, 16396, 33021, 16445, 16442, 16415, 23965, 16405, 16444, 16396, 16396, 16442, 16415, 23965, 16407, 16444, 16445, 16397, 16772, 18154, 43222, 20767, 16604, 16391, 45059, 16392, 38743, 16767, 17965, 20741, 27862, 19565, 21544, 45583, 30285, 32714, 16604, 16391, 25622, 16422, 16392, 16395, 16604, 16401, 16396, 19112, 16604, 16406, 16404, 20464, 16454, 27835, 32714, 33041, 17709, 16604, 16391, 23105, 29398, 16392, 16395, 16785, 28215, 55786, 16711, 16400, 16450, 16604, 16391, 16423, 16449, 16416, 16400, 16450, 16392, 16672, 17310, 16734, 17036, 16396, 33021, 16445, 16442, 16415, 23965, 16408, 16444, 16445, 16397, 18523, 16395, 48673, 16769, 17963, 16815, 28569, 16734, 16647, 37305, 17405, 18197, 16673, 24571, 29921, 16718, 25204, 17743, 17172, 16673, 17073, 16678, 50799, 16791, 16656, 16397, 16773, 27145, 16395, 55140, 29398, 16674, 16751, 16449, 16416, 16400, 16450, 16769, 17405, 16922, 16741, 16641, 32824, 17032, 16641, 42075, 33544, 16397, 42566, 16395, 19705, 19532, 16396, 50951, 16674, 33667, 37047, 19831, 16807, 22130, 16647, 36481, 16673, 39859, 28463, 17909, 16396, 27704, 34226, 22363, 16604, 16391, 19634, 18593, 16392, 16395, 55304, 34226, 22363, 16604, 16391, 52406, 16392, 16395, 17953, 37140, 22363, 16604, 16391, 20840, 16416, 16392, 16395, 17263, 18161, 16450, 17629, 16654, 17462, 16674, 29921, 17987, 18737, 24594, 60147, 16699, 16769, 19970, 16734, 32983, 23759, 16395, 16674, 17259, 58928, 16958, 19570, 16741, 57860, 16715, 16647, 31777, 16673, 17036, 16396, 33021, 16674, 30219, 16445, 16442, 16415, 23965, 16400, 16399, 16444, 16396, 16396, 16442, 16415, 23965, 16400, 16402, 16444, 16445, 16397, 18523, 16395, 17687, 16704, 18365, 16931, 16647, 19056, 37067, 57860, 16673, 17476, 29921, 16718, 25204, 39700, 21243, 18493, 24454, 16734, 17036, 16396, 33021, 16397, 19253, 28609, 16395, 18843, 16641, 37067, 18528, 16715, 42360, 16647, 23052, 16815, 17036, 16396, 33021, 16671, 16793, 26517, 16785, 30219, 16961, 16703, 23651, 16715, 16647, 18334, 28354, 16674, 19165, 18493, 20470, 16734, 17036, 16396, 33021, 16397, 16582, 16582, 25449, 46210, 39478, 19522, 16641, 45490, 16673, 16647, 37067, 28578, 16721, 29675, 16647, 19208, 16673, 19006, 19258, 16671, 19007, 54403, 35280, 46897, 16674, 16398, 16658, 25998, 36101, 16674, 24137, 18805, 16397, 26713, 16395, 16672, 17259, 19223, 16395, 16640, 16890, 19367, 24347, 16395, 47413, 16395, 16674, 18003, 24347, 19029, 16769, 45630, 16673, 16647, 18551, 55282, 16673, 19487, 16395, 25743, 16647, 37067, 23487, 16704, 18715, 22737, 16672, 19208, 16671, 16647, 20062, 17650, 16445, 16442, 16415, 23965, 16400, 16403, 16444, 16445, 16397, 40244, 16396, 40861, 23764, 58270, 16396, 26293, 19230, 17877, 17005, 16396, 17663, 16396, 45003, 19027, 50454, 24318, 16604, 16391, 28284, 21078, 16396, 16432, 24824, 16421, 16396, 21332, 16392, 16673, 25069, 32389, 18145, 16843, 20283, 20897, 23084, 16673, 18403, 20969, 16672, 16641, 18494, 21903, 22281, 16395, 35846, 16647, 55289, 41749, 16673, 16647, 44745, 16445, 16442, 16415, 23965, 16400, 16404, 16444, 16445, 16397, 36165, 17521, 16809, 29214, 16674, 17362, 19027, 26656, 16395, 16647, 24291, 16872, 16992, 25186, 16672, 29213, 20318, 57860, 16715, 38030, 16445, 16442, 16415, 23965, 16400, 16405, 16444, 16395, 16442, 16415, 23965, 16400, 16406, 16444, 16445, 16395, 37067, 27821, 16445, 16442, 16415, 23965, 16400, 16407, 16444, 16396, 16396, 16442, 16415, 23965, 16401, 16399, 16444, 16445, 16395, 20632, 41712, 16674, 17917, 16445, 16442, 16415, 23965, 16401, 16400, 16444, 16395, 16442, 16415, 23965, 16401, 16401, 16444, 16445, 16395, 16674, 16859, 16709, 16397, 16582, 16582, 19132, 16647, 17788, 18077, 16395, 16742, 29781, 16647, 37067, 31390, 16673, 45583, 30285, 23375, 18493, 16647, 16604, 16400, 16399, 16407, 17036, 16396, 33021, 16767, 32320, 16734, 17476, 25178, 19709, 17202, 18242, 35490, 16819, 24938, 16665, 33857, 21078, 16396, 16432, 24824, 16421, 16396, 21332, 19335, 16397, 16604, 16401, 16402, 16674, 16604, 16401, 16401, 58928, 16958, 21766, 16741, 57860, 16715, 23052, 16671, 16793, 26517, 16674, 30219, 16815, 17036, 16396, 33021, 16395, 22358, 16397, 17294, 16647, 26592, 55289, 33582, 19868, 16671, 17476, 39700, 21243, 16958, 28020, 16397, 16582, 16582, 32271, 16604, 16474, 16386, 37256, 16401, 16476, 16582, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16582, 16582, 28621, 23040, 16674, 31635, 36165, 20200, 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, 16582, 16582, 16400, 16399, 16407, 22381, 16734, 17036, 16396, 33021, 16815, 16641, 43842, 37047, 18077, 16958, 20440, 16903, 16715, 19709, 17202, 16674, 16958, 24536, 17065, 16604, 16402, 19318, 18745, 16671, 17476, 29921, 16718, 25204, 25178, 16397, 16604, 16401, 16399, 22381, 46450, 16671, 30219, 16395, 16604, 16401, 16399, 17198, 19298, 16671, 16793, 26517, 16395, 16674, 16604, 16405, 16407, 23622, 16767, 17036, 16396, 33021, 16395, 22358, 16397, 16582, 16582, 19231, 32320, 16395, 16986, 16958, 17028, 18650, 22383, 16672, 24900, 16395, 23324, 16395, 18370, 19027, 21304, 16395, 19546, 32714, 16395, 43212, 23487, 16395, 19546, 20301, 16741, 17204, 16741, 18723, 17730, 19527, 18493, 17213, 16604, 16402, 19318, 16604, 16391, 23182, 17774, 16666, 23984, 18331, 16442, 16434, 16400, 16444, 16391, 16386, 24197, 18311, 16428, 16400, 16392, 16474, 18452, 16396, 18926, 16412, 16385, 29743, 16385, 16476, 16392, 16397, 18073, 16647, 17291, 16396, 20352, 16673, 16647, 18077, 16395, 17028, 18650, 22383, 16672, 16647, 55289, 24319, 16958, 17494, 18493, 16647, 17567, 19318, 16395, 20302, 16715, 45583, 32714, 16395, 16604, 16401, 16396, 16455, 32714, 16674, 16751, 16449, 16416, 16400, 16450, 16604, 16391, 22224, 18331, 16442, 16400, 16444, 16391, 16386, 34185, 16400, 16392, 16474, 18452, 16396, 18926, 16412, 16385, 22246, 16385, 16476, 16392, 16397, 22224, 16604, 16400, 42911, 20200, 16673, 16647, 18077, 22381, 16767, 17291, 16396, 20352, 16397, 25855, 16433, 16604, 16391, 16461, 20464, 16412, 20464, 16401, 16399, 16392, 21070, 16396, 33021, 16604, 16391, 16461, 20464, 16412, 20464, 16405, 16407, 16392, 33021, 16604, 16391, 16461, 20464, 16412, 20464, 16401, 16399, 16392, 42432, 16395, 17202, 16404, 16406, 16397, 16403, 20464, 31334, 20464, 16407, 16397, 16407, 16405, 16399, 16397, 16403, 20464, 31334, 20464, 16407, 16397, 16408, 16404, 16406, 16397, 16408, 20464, 31334, 20464, 16400, 16399, 16397, 16400, 63879, 16395, 16793, 16395, 21966, 16398, 55665, 16406, 16398, 16400, 16402, 16401, 16404, 16398, 16403, 16402, 16406, 16398, 16400, 16402, 31292, 19027, 21304, 16395, 36239, 16398, 16460, 16445, 16401, 16445, 16401, 16403, 16397, 16399, 20464, 31334, 20464, 16402, 16397, 16400, 16401, 16403, 16397, 16407, 20464, 31334, 20464, 16401, 16397, 16408, 16401, 16405, 16397, 16400, 20464, 31334, 20464, 16402, 16397, 16408, 54969, 16771, 21831, 18163, 16395, 27844, 16407, 16402, 16397, 16402, 20464, 31334, 20464, 16406, 16397, 16404, 16407, 16406, 16397, 16400, 20464, 31334, 20464, 16407, 16397, 16403, 16407, 16407, 16397, 16402, 20464, 31334, 20464, 16400, 16400, 16397, 16408, 54969, 16771, 16396, 17461, 21844, 16399, 16397, 16407, 16407, 20464, 31334, 20464, 16399, 16397, 16399, 16403, 16399, 16397, 16408, 16399, 20464, 31334, 20464, 16399, 16397, 16399, 16405, 16399, 16397, 16408, 16401, 20464, 31334, 20464, 16399, 16397, 16399, 16407, 35127, 28380, 19249, 16395, 16604, 16388, 16403, 16404, 16397, 16399, 16404, 16406, 16397, 16403, 16406, 16399, 16397, 16399, 33736, 18496, 16673, 30219, 16395, 16604, 16388, 16402, 16404, 16397, 16399, 16402, 16402, 16397, 16407, 16403, 16404, 16397, 16399, 28471, 17295, 26982, 16395, 16604, 16388, 16404, 16397, 16399, 16401, 16401, 16397, 16400, 16400, 16404, 16397, 16399, 28471, 20065, 16646, 16395, 16604, 16388, 16400, 16404, 16397, 16399, 16400, 16402, 16397, 16401, 16399, 16397, 16399, 16393, 16393, 52667, 19962, 16393, 16393, 17071, 21126, 16395, 16604, 16388, 16404, 16397, 16399, 16400, 16400, 16397, 16407, 16400, 16399, 16397, 16399, 24393, 17997, 16395, 16604, 16388, 16406, 16399, 16397, 16399, 16406, 16402, 16397, 16404, 16406, 16404, 16397, 16399, 33889, 16395, 16604, 16388, 16401, 16404, 16397, 16399, 16400, 16403, 16397, 16406, 16400, 16404, 16397, 16399, 16434, 29209, 16395, 25737, 64208, 16400, 16402, 16401, 16397, 16404, 20464, 31334, 20464, 16400, 16408, 16397, 16403, 16400, 16402, 16407, 16397, 16408, 20464, 31334, 20464, 16400, 16403, 16397, 16407, 16400, 16402, 16407, 16397, 16406, 20464, 31334, 20464, 16400, 16406, 16397, 16404, 27055, 16431, 16395, 25737, 64208, 16406, 16406, 16397, 16403, 20464, 31334, 20464, 16407, 16397, 16407, 16407, 16399, 16397, 16404, 20464, 31334, 20464, 16408, 16397, 16404, 16407, 16399, 16397, 16403, 20464, 31334, 20464, 16400, 16399, 16397, 16403, 16421, 35540, 32714, 16395, 59354, 16398, 16427, 16404, 16397, 16401, 20464, 31334, 20464, 16399, 16397, 16401, 16445, 16443, 16393, 16445, 16404, 16397, 16405, 20464, 31334, 20464, 16399, 16397, 16404, 16407, 16397, 16399, 20464, 31334, 20464, 16401, 16397, 16408, 16445, 16443, 16393, 16443, 16393, 16443, 16386, 16445, 16401, 16396, 16455, 32714, 16395, 59354, 16398, 16427, 16405, 16397, 16399, 20464, 31334, 20464, 16399, 16397, 16407, 16445, 16443, 16393, 16443, 16393, 16445, 16406, 16397, 16405, 20464, 31334, 20464, 16400, 16397, 16407, 16400, 16402, 16397, 16400, 20464, 31334, 20464, 16403, 16397, 16406, 16445, 16443, 16393, 16443, 16393, 16443, 16386, 16445, 16423, 16449, 16416, 16400, 16450, 16395, 16604, 16388, 16404, 16397, 16402, 20464, 31334, 20464, 16399, 16397, 16404, 16445, 16443, 16393, 16443, 16393, 16445, 16404, 16397, 16407, 20464, 31334, 20464, 16399, 16397, 16402, 16406, 16397, 16401, 20464, 31334, 20464, 16400, 16397, 16403, 16445, 16443, 16393, 16443, 16393, 16443, 16386, 16445, 16421, 35540, 32983, 16395, 20270, 16723, 16398, 38632, 16407, 16397, 16403, 20464, 31334, 20464, 16402, 16397, 16406, 16408, 16397, 16401, 20464, 31334, 20464, 16404, 16397, 16399, 16400, 16400, 16397, 16402, 20464, 31334, 20464, 16402, 16397, 16407, 16445, 16443, 16393, 16448, 16445, 16401, 16396, 16455, 32983, 16395, 20270, 16723, 16398, 38632, 16402, 16407, 16397, 16408, 20464, 31334, 20464, 16401, 16402, 16397, 16404, 16406, 16400, 16397, 16401, 20464, 31334, 20464, 16405, 16404, 16397, 16403, 16404, 16407, 16397, 16406, 20464, 31334, 20464, 16402, 16405, 16397, 16407, 26997, 16427, 16395, 59354, 16398, 16427, 16400, 16397, 16403, 20464, 31334, 20464, 16399, 16397, 16402, 16400, 16397, 16404, 20464, 31334, 20464, 16399, 16397, 16403, 16400, 16397, 16404, 20464, 31334, 20464, 16399, 16397, 16403, 26347, 16427, 16395, 59354, 16398, 16427, 16402, 16397, 16400, 20464, 31334, 20464, 16399, 16397, 16406, 16402, 16397, 16399, 20464, 31334, 20464, 16399, 16397, 16408, 16402, 16397, 16404, 20464, 31334, 20464, 16400, 16397, 16400, 21512, 16395, 59354, 16398, 16427, 16404, 16397, 16401, 20464, 31334, 20464, 16400, 16397, 16401, 16404, 16397, 16404, 20464, 31334, 20464, 16400, 16397, 16407, 16405, 16397, 16401, 20464, 31334, 20464, 16400, 16397, 16402, 16445, 16449, 16445, 55774, 16395, 59354, 16398, 16427, 16400, 16397, 16403, 20464, 31334, 20464, 16399, 16397, 16406, 16401, 16397, 16399, 20464, 31334, 20464, 16401, 16397, 16405, 16401, 16397, 16407, 20464, 31334, 20464, 16401, 16397, 16402, 16445, 16443, 16393, 16443, 16386, 16445, 26201, 16416, 16395, 20957, 16723, 16398, 16427, 16402, 16400, 16400, 16397, 16408, 20464, 31334, 20464, 16405, 16408, 16397, 16406, 16402, 16402, 16407, 16397, 16406, 20464, 31334, 20464, 16407, 16407, 16397, 16404, 16402, 16401, 16400, 16397, 16402, 20464, 31334, 20464, 16406, 16408, 16397, 16403, 23965, 16395, 20957, 16723, 16398, 16427, 16407, 16400, 16397, 16400, 20464, 31334, 20464, 16400, 16407, 16397, 16405, 16406, 16401, 16397, 16407, 20464, 31334, 20464, 16401, 16408, 16397, 16399, 16405, 16401, 16397, 16405, 20464, 31334, 20464, 16401, 16404, 16397, 16406, 54788, 16395, 16876, 16398, 16427, 16401, 16399, 16397, 16407, 20464, 31334, 20464, 16408, 16397, 16399, 16401, 16402, 16397, 16399, 20464, 31334, 20464, 16400, 16405, 16397, 16407, 16402, 16402, 16397, 16400, 20464, 31334, 20464, 16402, 16401, 16397, 16406, 44753, 16395, 16876, 16398, 16427, 16401, 16403, 16397, 16404, 20464, 31334, 20464, 16405, 16397, 16404, 16401, 16406, 16397, 16402, 20464, 31334, 20464, 16400, 16406, 16397, 16407, 16401, 16407, 16397 ]
[ 0, 16396, 16396, 16396, 16582, 38841, 16409, 16604, 16390, 26819, 16396, 38388, 22612, 17510, 17989, 19830, 35087, 16815, 32871, 16395, 27732, 23349, 16395, 16850, 16704, 16647, 17650, 16673, 28518, 24261, 19751, 16674, 22960, 22844, 16785, 18730, 16674, 24566, 16414, 17119, 18675, 16647, 19902, 21454, 16673, 17362, 16396, 38388, 19830, 16396, 29239, 23349, 16734, 16914, 38550, 20041, 16672, 16641, 33444, 17210, 16395, 17655, 47134, 35871, 16674, 17778, 26781, 17586, 16397, 16875, 17970, 16671, 21182, 16641, 28456, 25018, 16673, 16647, 20192, 20066, 18869, 16673, 17213, 23349, 16395, 16742, 24416, 16647, 28697, 16673, 32871, 16395, 27732, 23349, 18568, 16641, 21874, 24892, 19970, 16734, 17362, 16396, 38388, 19830, 24261, 16395, 16793, 16391, 16423, 16387, 16446, 16401, 16387, 16392, 16604, 16387, 16413, 16387, 16604, 16399, 16397, 16403, 16396, 16401, 16397, 16404, 16604, 16387, 16443, 24360, 16387, 16604, 16400, 16399, 16387, 16445, 16474, 16401, 16401, 16476, 16387, 27844, 16387, 16445, 16474, 16396, 16401, 16476, 16387, 16395, 16672, 16647, 16604, 17705, 23507, 17600, 16743, 16604, 16391, 19355, 28158, 16673, 22612, 16604, 16387, 16443, 16454, 18178, 23966, 16387, 16604, 16400, 16399, 16604, 18331, 29239, 16392, 16674, 19830, 16396, 29239, 33780, 16672, 16641, 16604, 16401, 16387, 16443, 24360, 16387, 16401, 18331, 32717, 16673, 16647, 61847, 17862, 17716, 36322, 16767, 16604, 16387, 16443, 17182, 16387, 16412, 16402, 16399, 16397, 19525, 23349, 23557, 16673, 28931, 17362, 16396, 38388, 22612, 16709, 16604, 16387, 16443, 23966, 16387, 16400, 36816, 33563, 16395, 16647, 19830, 17600, 16604, 16391, 16658, 31995, 20371, 25939, 16392, 21876, 57829, 16931, 16604, 16405, 16399, 16396, 16406, 16399, 16388, 16673, 16647, 32871, 27732, 19599, 27165, 16674, 16647, 19830, 16396, 29239, 21876, 57829, 16931, 16604, 16402, 16399, 16396, 16403, 16399, 16388, 16397, 18708, 20192, 20066, 18869, 16769, 28456, 17030, 16641, 19609, 18898, 16673, 57480, 16397, 17119, 35951, 16641, 18197, 16809, 16944, 20192, 20066, 18869, 16843, 16703, 56607, 16671, 20267, 20066, 18869, 16815, 18122, 16396, 24609, 33692, 16673, 63718, 26579, 16756, 16674, 16876, 20260, 19311, 23349, 16397, 16711, 59007, 19617, 16673, 16811, 18197, 25500, 16647, 20267, 27165, 16673, 16647, 19830, 17600, 21876, 16671, 16703, 16604, 16399, 16397, 16401, 16396, 16400, 16397, 16406, 18101, 16465, 16604, 16391, 27612, 16604, 16399, 16397, 16405, 16396, 16403, 16397, 16400, 51589, 16468, 17127, 23232, 17953, 16396, 23676, 18032, 16392, 16674, 16647, 19830, 16396, 29239, 21876, 16671, 16703, 16604, 16399, 16397, 16400, 16396, 16399, 16397, 16406, 18101, 16465, 16604, 16391, 27612, 16604, 16399, 16397, 16403, 16396, 16401, 16397, 16403, 17953, 16396, 23676, 18032, 16392, 16395, 16850, 17213, 16769, 20349, 24577, 16397, 17170, 16985, 41236, 57333, 16647, 19830, 16396, 29239, 19927, 16673, 17362, 16396, 27253, 24892, 20074, 34223, 16396, 17770, 16396, 52227, 16674, 17038, 18466, 26157, 16721, 16647, 20987, 16673, 17362, 16396, 27253, 24892, 20074, 16704, 16672, 16641, 19830, 17600, 16785, 31995, 21876, 16397, 16390, 16582, 26371, 16409, 16582, 16396, 16604, 16390, 16418, 19161, 25811, 17500, 17770, 16395, 18157, 16738, 16834, 16395, 16604, 16389, 25888, 57476, 17080, 26845, 16390, 16582, 16449, 34289, 20147, 16409, 16582, 16396, 16604, 16390, 16644, 21436, 16400, 16397, 54690, 16390, 16582, 23718, 16409, 16604, 16390, 16853, 41046, 18869, 16673, 17829, 17779, 16672, 19568, 16396, 36769, 21092, 16396, 21307, 16661, 65300, 16390, 16582, 16396, 16396, 16396, 16582, 16582, 16401, 41138, 16442, 16429, 16387, 16446, 16474, 16401, 16476, 16387, 16423, 16387, 16445, 16474, 16394, 16476, 16387, 16444, 16474, 16476, 16604, 16402, 23934, 16442, 16387, 16445, 16474, 16400, 16402, 16476, 16387, 23934, 16444, 16474, 16476, 16604, 16402, 16442, 43055, 16387, 16446, 16474, 16402, 16476, 16387, 16444, 16474, 16476, 16582, 16582, 38194, 16582, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16582, 16582, 33191, 19830, 35087, 16674, 17362, 16396, 38388, 22612, 17510, 16741, 16647, 17539, 16673, 19751, 16395, 39691, 29774, 16673, 16950, 25333, 16604, 16442, 16452, 16397, 16454, 16397, 16395, 16604, 16415, 27196, 16399, 16405, 16444, 17030, 18295, 17953, 16396, 23676, 18032, 16785, 16980, 16873, 29774, 19988, 16709, 16647, 17970, 16673, 16641, 17953, 16396, 23676, 17005, 16604, 16442, 16452, 16397, 16454, 16397, 16395, 16604, 16415, 63556, 16399, 16406, 16410, 16604, 16415, 24743, 16399, 16406, 16444, 16395, 20670, 48774, 16809, 18122, 21434, 17103, 18413, 16679, 18184, 17566, 31001, 16604, 16442, 16415, 18103, 16452, 16399, 16408, 16444, 16395, 21002, 16667, 17671, 18283, 16397, 16772, 22612, 16721, 17510, 16672, 17213, 23349, 17123, 33063, 16674, 16691, 16396, 29715, 21159, 16647, 27732, 18651, 16815, 16944, 16873, 22257, 17714, 57058, 17160, 16728, 16395, 22764, 18368, 27216, 16673, 19830, 24261, 16672, 16647, 23232, 16734, 20562, 17301, 16796, 24147, 20066, 18869, 16604, 16442, 16401, 16399, 16396, 16403, 16399, 18101, 16465, 16395, 16693, 16397, 16454, 16397, 16410, 16604, 16415, 16458, 17431, 16399, 16408, 16444, 16397, 16772, 26095, 16673, 18730, 16395, 24566, 19830, 24261, 31132, 17030, 16641, 17301, 17005, 16809, 20726, 17606, 25293, 16673, 18651, 16704, 30930, 16809, 16641, 20710, 16673, 28101, 16604, 16442, 20129, 17557, 16665, 16672, 18686, 16672, 16604, 16415, 63556, 16399, 16406, 16410, 16604, 16415, 24743, 16399, 16406, 16444, 16395, 16674, 16922, 19193, 16809, 16647, 19744, 16673, 19830, 17600, 22505, 37513, 16933, 29522, 16604, 16442, 16415, 17320, 16400, 16401, 16410, 16604, 16415, 16713, 16464, 16400, 16403, 16410, 16604, 16415, 16450, 16710, 16400, 16403, 16444, 21852, 17181, 24699, 33692, 16673, 21306, 25891, 49690, 32186, 16672, 16647, 30958, 16397, 27903, 16395, 28101, 16673, 17606, 16828, 16673, 27732, 18651, 16709, 18122, 33563, 16604, 16442, 16415, 24031, 16400, 16399, 16410, 16604, 16415, 16874, 16400, 16402, 16444, 18510, 16721, 16796, 24147, 16466, 16769, 24566, 16674, 36145, 19988, 16395, 16850, 16721, 18651, 17123, 16703, 34563, 30901, 17065, 16647, 19599, 16397, 16582, 16582, 18313, 18077, 16647, 24261, 16395, 18334, 23777, 16395, 16674, 20066, 18869, 16673, 17362, 16396, 38388, 19830, 16396, 29239, 23349, 16395, 16742, 26426, 16914, 33011, 38550, 21876, 16672, 32871, 16395, 27732, 23349, 16604, 16391, 16419, 26533, 16466, 16392, 16397, 16772, 20074, 16672, 23349, 16721, 17510, 17362, 16396, 38388, 22612, 16395, 16759, 26533, 16466, 16395, 16872, 17362, 52150, 16604, 16442, 16400, 16399, 16387, 16445, 16474, 16403, 16396, 16406, 16476, 16387, 27844, 16387, 16445, 16474, 16396, 16402, 16476, 16387, 16410, 16604, 16415, 25181, 16399, 16402, 16444, 16674, 21306, 26809, 16604, 16442, 16400, 16399, 16396, 16401, 16399, 16908, 16410, 16604, 16415, 22178, 16400, 16399, 16410, 16604, 16415, 27206, 16400, 16400, 16444, 16674, 16704, 22484, 27024, 16809, 17242, 19932, 28101, 17187, 16647, 21306, 16395, 25891, 49690, 32186, 38023, 16397, 29325, 16647, 21286, 29741, 26008, 16395, 17213, 23349, 16843, 17027, 16703, 18215, 16672, 57380, 20983, 16741, 16875, 64570, 25406, 17683, 29211, 16604, 16391, 20678, 27197, 16466, 16392, 53862, 16647, 54168, 16395, 19712, 16396, 20678, 16395, 61847, 21515, 18109, 16397, 16604, 16415, 27206, 16400, 16400, 20332, 16721, 16809, 17655, 16641, 22332, 16673, 17586, 16604, 16442, 25784, 27615, 16673, 16914, 26809, 16674, 21874, 52150, 16815, 28772, 16396, 16422, 18189, 16410, 16604, 16415, 48744, 16400, 16399, 16444, 16395, 16742, 16843, 22281, 16759, 26533, 16466, 16674, 53989, 17007, 16741, 19830, 17600, 16785, 19830, 16396, 29239, 16672, 16641, 16922, 47454, 28456, 17210, 17032, 16994, 17655, 16917, 36879, 16604, 16391, 16452, 16397, 16454, 16397, 16667, 30784, 27197, 16961, 16804, 16703, 16604, 17705, 36252, 16743, 16709, 16647, 17963, 18194, 16673, 16647, 30958, 16395, 16859, 16641, 19712, 16396, 20678, 16396, 24664, 22525, 16961, 40128, 17310, 16759, 26533, 16466, 16392, 16397, 16582, 16582, 23741, 18722, 19831, 16673, 17362, 16396, 38388, 19830, 16396, 29239, 19599, 20066, 18869, 16807, 21882, 16709, 39418, 16604, 17705, 16933, 25333, 16743, 16673, 20074, 16395, 19294, 21766, 16672, 16647, 25891, 49690, 16604, 16442, 16452, 16397, 16454, 16397, 16604, 16415, 34400, 16400, 16405, 16410, 16604, 16415, 16450, 16710, 16400, 16403, 16410, 16604, 16415, 16451, 16720, 16400, 16400, 16448, 16444, 16397, 18523, 16395, 42940, 16682, 17383, 17213, 16604, 17705, 16933, 25333, 16743, 21005, 17242, 16396, 18326, 16942, 16673, 16951, 16817, 46202, 16674, 20432, 19830, 24261, 16674, 19108, 19325, 16703, 30103, 16741, 18422, 16397, 17999, 46653, 17213, 23349, 18226, 16674, 27327, 16647, 18734, 16604, 17705, 16933, 17728, 16743, 16741, 19830, 16396, 29239, 16785, 16951, 16817, 17529, 16843, 19225, 17624, 16671, 16703, 19129, 16709, 21677, 33563, 17989, 16647, 16950, 17728, 16397, 17544, 18185, 16395, 16647, 63336, 16936, 23232, 31412, 16672, 16641, 18908, 19855, 16672, 36322, 16767, 16604, 16443, 16442, 16402, 16399, 16397, 16401, 16400, 16395, 16604, 16396, 16399, 16397, 16400, 16407, 16443, 16444, 20869, 21998, 16667, 27227, 19830, 16396, 29239, 16674, 16641, 16951, 16817, 17529, 19599, 16395, 16850, 16704, 21766, 16741, 16641, 18494, 16950, 17728, 16672, 16647, 28430, 17139, 16707, 61847, 17862, 17716, 30974, 16604, 16442, 16415, 17320, 16400, 16402, 16410, 16604, 16415, 19846, 16400, 16399, 16410, 16604, 16415, 30318, 16400, 16400, 16444, 16395, 16741, 16604, 16402, 16950, 25333, 16672, 16647, 17092, 22580, 16427, 18327, 16422, 18189, 33402, 16604, 16442, 16415, 19048, 20807, 16676, 16400, 16402, 16410, 16604, 16415, 16713, 16464, 16400, 16403, 16449, 16444, 16395, 16674, 16741, 16604, 16404, 16950, 25333, 16672, 16647, 17711, 22580, 16427, 18327, 16422, 18189, 33402, 16604, 16442, 16415, 16450, 16710, 16400, 16403, 16444, 16397, 41381, 16674, 29214, 16769, 16804, 16647, 20618, 24183, 16715, 16647, 17679, 16673, 16950, 25333, 21766, 16395, 18661, 16728, 16704, 23711, 25204, 22383, 16395, 17274, 16741, 29971, 17139, 16649, 20836, 16397, 16950, 17728, 24168, 16785, 35997, 18232, 16933, 25333, 16397, 16582, 16582, 17071, 16811, 19420, 16395, 16742, 17875, 16667, 32973, 19474, 16721, 21831, 53345, 16647, 18707, 24137, 16950, 17728, 27353, 16395, 16809, 43063, 16647, 18125, 17624, 16672, 16641, 34223, 16396, 17770, 16396, 52227, 19335, 16673, 16647, 26034, 16397, 17958, 18226, 16395, 16647, 37496, 17882, 16907, 16641, 29311, 31233, 16673, 16647, 17476, 38550, 25652, 16397, 16739, 33434, 16721, 31693, 16647, 25145, 16715, 17362, 16396, 38388, 19830, 24261, 16395, 17767, 20862, 16672, 16647, 19420, 16395, 16769, 23541, 16671, 16741, 32871, 27732, 23349, 16604, 16391, 16419, 26533, 16466, 16392, 16397, 17119, 24416, 16647, 50598, 16673, 16647, 29311, 16901, 65119, 16673, 19830, 17600, 16674, 19830, 16396, 29239, 16759, 26533, 16466, 16671, 25018, 16914, 20192, 20066, 18869, 16397, 16582, 16582, 24021, 27165, 25500, 16395, 18138, 24203, 16709, 19712, 16396, 20678, 32186, 40605, 20815, 23375, 16673, 30784, 27197, 16466, 16785, 25891, 49690, 16950, 25333, 16395, 17494, 20192, 19830, 17600, 50598, 17415, 16931, 16604, 16402, 16399, 16396, 16407, 16399, 16388, 16674, 57095, 25200, 17213, 16671, 20267, 19830, 17600, 20066, 18869, 28474, 23308, 17415, 16604, 16400, 16399, 16387, 16445, 16474, 16402, 16476, 16387, 16396, 16400, 16399, 16387, 16445, 16474, 16405, 16476, 16387, 17202, 16397, 18485, 17696, 16395, 16647, 18961, 24632, 19831, 16673, 16950, 17728, 20066, 18869, 16815, 16604, 16415, 16466, 21616, 16400, 16405, 16674, 16604, 16415, 34400, 16400, 16405, 17393, 19830, 17600, 50598, 16673, 16604, 16403, 16406, 16388, 16674, 16604, 16405, 16408, 16388, 16395, 22358, 16397, 19736, 19474, 43349, 16815, 18722, 20625, 16809, 16604, 16400, 16392, 16804, 32728, 16950, 17728, 28847, 16395, 28065, 17655, 16647, 21165, 23544, 17624, 18125, 16395, 16604, 16401, 16392, 33295, 23349, 23557, 16673, 28931, 17362, 16396, 38388, 22612, 18138, 32873, 16709, 16914, 21874, 24892, 16395, 16674, 16604, 16402, 16392, 17655, 16647, 25891, 21452, 16674, 16647, 19712, 16396, 20678, 32186, 28158, 16671, 53989, 16641, 19599, 16741, 19830, 17600, 16785, 19830, 16396, 29239, 16397, 16582, 16582, 41751, 16604, 16474, 16386, 19810, 16409, 25262, 16476, 16582, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16582, 16582, 16853, 61847, 17862, 17716, 36322, 16767, 61847, 17301, 20161, 16604, 16387, 16443, 17182, 16604, 16412, 16387, 16604, 16402, 16399, 18331, 35977, 16917, 16673, 16647, 20770, 29879, 16673, 32871, 20074, 16674, 25891, 16672, 16647, 21163, 19686, 22946, 16397, 47246, 18046, 16647, 17291, 16673, 16647, 61847, 18740, 16674, 16647, 17298, 16673, 16647, 18411, 16698, 16768, 16396, 30759, 37533, 42116, 20775, 16395, 16811, 19599, 21998, 16647, 22505, 16762, 16403, 16402, 19830, 28931, 19680, 16767, 16641, 21424, 16673, 16604, 16404, 16397, 16404, 16822, 25708, 16604, 16442, 16415, 17182, 16400, 16404, 16444, 16674, 23084, 16673, 22505, 16950, 25333, 16674, 27732, 32579, 16734, 16922, 17032, 16604, 16407, 16399, 16388, 16673, 16647, 32186, 17961, 50095, 16412, 16604, 16407, 16399, 16671, 16604, 16400, 16401, 16399, 16604, 18331, 16706, 18968, 16661, 16641, 16822, 22429, 17957, 21424, 17415, 16604, 16404, 16674, 16604, 16408, 16822, 25708, 16604, 16442, 16415, 47060, 49789, 16400, 16402, 16410, 16604, 16415, 17182, 16400, 16402, 16410, 16604, 16415, 17182, 16400, 16404, 16444, 16397, 17119, 26426, 16647, 21454, 16674, 19830, 16396, 29239, 25652, 16673, 16759, 26533, 16466, 16672, 16641, 16604, 16401, 16387, 16443, 24360, 16387, 16604, 16401, 18331, 19645, 36322, 16767, 16604, 16443, 16442, 16387, 16443, 17182, 16387, 16395, 16449, 16443, 16444, 16604, 16412, 16604, 16443, 16442, 16402, 16399, 16395, 16604, 16399, 16443, 16444, 17655, 22309, 17586, 16815, 28772, 16396, 16422, 18189, 16604, 16442, 16415, 48744, 16400, 16399, 16444, 16395, 29910, 19806, 19725, 16420, 16604, 16442, 16415, 20379, 16399, 16402, 16444, 16395, 16604, 16405, 16397, 16406, 54569, 23605, 16387, 16446, 16474, 16402, 16476, 16387, 29158, 26579, 16756, 16604, 16442, 16415, 24497, 16399, 16404, 16444, 16395, 16674, 16876, 20260, 19311, 23349, 16604, 16442, 16415, 17066, 16462, 16407, 16408, 16444, 16397, 16582, 16582, 17071 ]
[ 0, 16582, 16402, 16402, 16406, 16773, 16397, 23182, 16397, 16604, 16400, 16404, 16399, 16604, 16391, 16400, 16408, 16406, 16401, 16392, 16582, 16418, 26136, 21256, 29977, 44484, 16395, 48167, 16395, 16674, 24080, 47807, 46857, 40546, 20767, 16395, 19376, 16397, 16395, 17605, 16813, 16397, 16395, 20619, 17281, 16661, 41796, 26428, 16395, 16582, 16469, 16397, 16582, 16853, 21857, 44896, 42576, 18311, 16673, 18924, 17605, 16813, 16397, 16395, 62578, 16397, 16582, 16418, 16821, 16397, 17933, 16397, 16604, 16406, 16400, 16396, 16418, 16396, 16400, 16405, 16402, 16408, 16397, 16582, 32384, 18644, 21599, 19758, 16395, 16799, 16397, 16759, 16397, 17360, 18533, 16397, 16582, 32298, 16604, 16401, 16399, 16395, 16604, 16400, 16408, 16406, 16401, 16397, 16582, 16393, 16400, 16404, 16400, 16604, 16393, 16400, 16404, 16401, 22146, 65033, 16395, 17376, 16684, 16397, 26593, 16397, 34235, 16604, 16391, 16425, 16397, 22801, 34382, 16642, 16395, 26593, 16397, 34235, 16715, 18660, 16673, 17360, 18533, 16395, 21700, 16719, 16397, 19463, 16688, 16755, 16674, 54141, 27537, 16652, 30675, 16395, 17376, 16684, 16397, 26593, 16397, 19720, 33163, 16395, 16673, 24221, 16392, 16395, 16715, 35340, 16397, 16582, 17287, 43766, 16790, 16397, 22891, 16959, 16395, 17360, 18533, 18660, 16604, 16391, 37484, 22339, 16395, 20779, 64070, 16395, 24845, 16645, 16604, 16389, 55353, 16395, 17360, 18533, 18660, 16395, 16673, 24221, 16392, 16395, 16715, 64042, 35340, 16395, 24080, 47807, 40546, 20111, 16390, 16461, 16397, 16582, 34825, 16719, 16397, 25273, 17826, 16395, 20059, 16395, 16759, 16397, 16719, 16397, 16395, 16715, 64042, 44320, 16395, 18303, 32808, 21383, 16674, 47583, 16673, 38300, 16395, 20171, 17583, 16604, 16389, 35791, 19232, 17683, 16646, 17130, 16395, 21432, 16818, 24027, 24254, 16395, 28738, 16604, 16389, 26664, 29403, 16659, 16397, 16582, 22638, 16719, 16397, 18640, 43243, 17458, 16657, 16395, 17376, 16684, 16397, 34235, 16395, 16793, 16397, 16966, 16397, 18490, 48942, 16397, 16673, 32808, 16395, 45388, 16395, 16793, 16397, 16966, 16397, 16395, 16715, 64042, 35340, 16395, 18490, 16673, 17360, 18533, 16397, 16582, 16427, 29251, 16751, 16397, 31319, 16395, 17376, 16684, 16397, 16876, 16397, 16702, 16397, 18073, 17098, 16397, 16604, 16391, 32716, 16711, 16397, 63973, 16395, 16876, 16397, 16702, 16397, 18073, 17098, 16397, 25529, 21599, 16673, 17360, 18533, 16395, 16673, 24221, 16392, 16395, 16715, 30212, 16395, 16647, 18303, 18644, 16397, 16582, 16853, 42531, 16719, 16397, 24348, 54088, 16395, 20059, 16395, 16759, 16397, 16719, 16397, 16395, 17376, 16684, 16397, 22226, 16397, 34235, 16395, 16715, 30212, 16395, 50386, 30961, 20797, 16397, 16582, 16422, 16397, 27548, 64646, 16395, 17360, 18533, 18660, 16395, 16715, 30212, 16395, 24080, 47807, 16778, 16397, 16433, 16397, 16582, 25379, 16773, 22777, 26886, 27616, 16395, 22306, 32638, 27735, 16395, 16727, 18629, 26024, 17528, 16395, 22306, 21599, 27735, 16395, 16674, 31340, 47426, 16420, 17681, 16395, 21599, 27735, 16397, 16582, 16421, 22777, 26886, 27616, 16395, 22306, 32638, 27735, 16409, 16582, 17071, 16811, 18865, 17647, 16647, 18303, 18644, 16395, 16647, 50386, 30961, 20797, 16395, 24080, 47807, 46857, 16674, 18244, 16673, 16647, 24002, 16390, 16466, 22345, 16674, 28299, 16395, 16647, 18660, 16673, 17360, 18533, 16395, 21927, 16809, 18295, 34771, 17035, 16395, 26059, 16907, 16671, 17835, 16748, 16667, 17970, 16673, 16647, 50386, 30961, 20797, 29136, 19293, 16604, 16400, 16402, 16395, 16604, 16400, 16408, 16406, 16400, 16395, 16672, 16773, 16397, 16419, 16397, 17933, 16397, 16604, 16401, 16404, 16407, 16408, 16405, 16395, 16944, 30936, 62026, 16673, 16647, 18734, 18089, 16673, 24080, 47807, 46857, 20433, 16604, 16391, 17347, 46857, 16392, 16672, 29518, 19044, 16395, 17360, 18533, 16395, 16674, 35126, 19044, 16395, 17360, 25063, 16397, 16772, 17970, 16395, 16944, 16763, 20176, 20629, 16395, 16763, 23373, 17135, 16647, 46857, 16709, 19293, 16604, 16400, 16395, 16604, 16400, 16408, 16406, 16400, 16395, 16955, 16819, 16724, 17105, 16834, 30701, 16667, 53712, 16709, 16858, 47622, 42951, 16674, 20085, 16721, 16709, 19293, 16604, 16400, 16404, 16395, 16604, 16400, 16408, 16406, 16400, 16395, 16728, 16961, 35432, 16641, 18655, 53712, 16709, 16858, 36464, 42951, 16395, 17172, 16673, 16647, 29593, 38992, 17431, 42489, 20249, 16673, 17073, 30460, 21131, 16395, 16674, 17135, 20239, 16673, 16647, 46857, 16955, 28027, 16667, 18865, 16671, 16901, 28627, 16647, 53712, 16944, 16873, 19570, 16671, 16703, 16667, 50170, 62026, 16397, 16772, 46857, 44164, 21361, 16709, 19293, 16604, 16400, 16402, 20629, 16709, 19470, 16673, 16647, 20797, 16390, 16466, 17970, 16397, 16442, 16400, 16444, 16582, 18301, 19293, 16604, 16400, 16406, 16395, 16647, 18660, 19361, 16811, 18865, 16674, 25330, 16641, 26521, 63058, 17970, 16395, 17134, 16604, 16401, 16407, 16876, 16397, 16434, 16397, 16418, 16397, 16604, 25660, 16604, 16401, 16401, 16407, 16403, 16391, 16402, 16392, 16397, 27735, 54819, 26358, 16811, 16850, 17280, 16647, 18660, 16390, 16466, 22846, 16715, 16641, 26521, 54435, 16715, 21981, 16709, 19293, 16604, 16401, 16401, 17329, 16641, 17567, 16396, 27556, 16840, 19124, 16944, 16733, 18666, 16671, 16807, 63210, 16395, 16604, 16401, 16407, 16876, 16397, 16434, 16397, 16418, 16397, 16604, 25660, 25660, 16604, 16401, 16402, 16401, 16400, 16395, 16604, 16401, 16402, 16401, 16404, 16397, 18073, 16647, 21981, 16395, 16647, 24080, 47807, 40546, 20767, 16395, 19376, 16397, 16395, 18303, 32808, 21383, 16395, 16647, 47583, 16673, 38300, 16395, 20171, 17583, 16674, 35791, 19232, 17683, 16646, 17130, 16395, 21432, 16818, 24027, 24254, 16395, 28738, 16674, 26664, 29403, 16659, 16395, 16674, 16647, 19542, 16673, 32808, 16673, 16647, 18490, 16673, 17360, 18533, 16958, 20095, 16671, 47140, 16741, 44320, 16397, 26654, 16468, 16940, 16673, 16604, 16393, 16400, 16404, 16402, 16641, 26521, 63058, 17970, 16763, 17244, 25852, 16395, 16850, 16742, 28946, 19270, 16709, 16647, 22846, 16715, 16641, 26521, 54435, 32501, 16647, 27939, 16673, 16647, 18156, 16674, 21695, 16466, 16397, 16582, 16853, 46857, 16395, 25095, 16672, 16604, 16400, 16408, 16399, 16402, 16395, 16704, 16641, 37863, 16396, 29657, 37348, 16673, 24080, 32963, 16395, 19376, 16397, 16395, 16944, 16955, 16992, 18365, 16741, 24080, 47807, 20433, 18015, 18936, 16395, 16604, 16400, 16408, 16405, 16407, 16397, 16772, 20380, 16673, 31040, 16647, 46857, 16763, 16671, 29799, 27190, 19503, 16672, 18329, 24058, 16674, 25929, 16671, 17009, 23043, 40097, 18373, 17177, 17255, 19194, 16672, 30322, 16395, 17360, 18533, 16395, 16809, 24080, 47807, 16397, 16772, 18089, 23157, 16809, 16647, 46857, 16704, 17097, 16604, 16400, 16397, 16407, 20990, 17301, 16397, 17170, 36734, 16734, 16991, 16604, 16400, 16402, 16397, 16404, 16405, 20990, 16673, 19458, 16672, 30322, 16674, 17378, 16396, 27541, 16674, 26978, 16898, 22288, 16721, 16769, 28601, 16809, 16647, 46857, 16850, 16769, 23157, 16674, 16955, 21216, 16992, 28601, 16809, 24080, 47807, 16395, 29593, 16741, 22688, 16715, 16647, 46857, 16674, 16715, 39736, 18089, 34052, 23604, 17360, 18533, 36152, 16397, 16875, 24080, 47807, 16778, 16397, 16433, 16397, 18035, 16397, 35980, 16395, 16604, 16401, 16404, 16406, 16687, 16397, 16418, 16397, 16418, 16397, 16604, 16402, 16406, 16404, 16604, 16391, 16400, 16408, 16403, 16403, 16392, 16395, 16647, 20797, 30936, 16647, 46857, 16395, 33584, 16671, 16604, 25660, 16604, 16400, 16391, 16400, 16407, 16392, 16673, 16647, 50386, 30961, 18899, 16395, 16671, 25929, 17073, 40097, 16809, 34726, 17181, 30887, 16647, 19458, 16898, 16674, 16977, 22288, 23157, 16809, 24080, 47807, 16397, 16772, 30887, 18200, 17717, 16709, 19160, 16604, 16400, 16395, 16604, 16400, 16408, 16403, 16404, 16397, 21123, 17177, 16647, 46857, 16395, 16741, 16641, 18545, 28566, 16395, 16872, 20232, 21690, 17415, 26212, 16672, 16674, 18046, 16647, 24080, 47807, 16672, 30322, 18325, 17360, 18533, 36152, 16671, 16674, 16815, 19001, 39736, 18089, 44856, 16672, 17360, 25063, 16397, 16875, 19293, 16395, 16604, 16400, 16408, 16405, 16407, 16395, 24080, 47807, 16395, 17961, 20152, 17073, 17830, 16674, 18222, 16641, 58666, 16758, 16395, 24389, 16809, 32963, 56117, 16895, 37104, 16395, 19376, 16397, 16395, 16641, 17363, 16922, 58666, 16895, 58666, 16758, 16395, 52014, 16858, 17073, 17446, 22510, 16395, 17789, 16991, 16673, 16647, 18247, 17030, 16944, 16647, 46857, 28435, 16395, 16671, 16641, 25169, 25095, 16395, 37863, 23157, 37348, 16395, 24080, 47807, 20433, 16395, 19376, 16397, 17170, 17009, 37348, 26511, 17073, 18521, 16390, 16466, 31388, 17131, 16647, 30887, 16671, 16647, 46857, 16397, 17119, 16868, 20698, 20430, 16671, 24080, 32963, 16395, 19376, 16397, 16674, 24080, 47807, 20433, 16395, 19376, 16397, 16395, 19325, 16741, 16604, 16385, 17347, 47807, 20433, 16397, 16385, 16582, 16853, 46857, 16395, 16709, 19191, 16604, 16401, 16402, 16395, 16604, 16400, 16408, 16405, 16408, 16395, 23165, 16667, 19617, 17131, 16604, 25660, 16604, 16400, 16391, 16400, 16407, 16392, 16673, 16647, 50386, 30961, 18899, 16715, 26088, 16671, 24788, 16647, 21361, 17490, 16673, 17073, 23157, 16674, 16673, 17073, 57976, 21454, 16397, 43385, 17017, 16958, 18939, 16672, 19164, 18850, 16395, 16604, 16400, 16408, 16406, 16399, 16397, 16772, 19617, 16763, 25359, 16809, 20239, 16673, 16647, 18224, 16395, 42177, 16674, 41415, 16396, 52163, 23653, 16674, 21800, 21584, 26489, 16647, 46857, 16390, 16466, 20552, 16397, 16875, 16914, 17498, 16396, 16643, 18191, 21695, 16466, 16647, 18660, 16395, 16647, 18490, 16395, 16674, 16647, 40546, 20767, 16715, 16647, 17092, 17005, 21056, 16647, 18710, 16721, 41390, 16673, 62026, 16809, 16647, 20365, 19914, 16395, 16647, 46857, 16395, 16961, 16804, 43790, 16647, 17827, 16658, 16395, 16647, 47807, 20433, 16395, 16673, 17073, 21191, 31595, 16671, 25050, 16647, 57976, 21454, 16395, 16667, 31595, 16721, 16961, 49500, 19028, 39717, 16468, 16940, 16673, 21140, 16809, 16647, 20365, 19914, 16397, 21125, 17470, 25538, 22796, 16778, 16397, 16433, 16397, 18035, 16397, 60585, 18553, 22655, 16797, 16673, 35980, 16395, 16604, 16401, 16399, 16401, 16687, 16397, 16418, 16397, 16418, 16397, 16604, 16405, 16404, 16408, 16395, 16604, 16405, 16405, 16402, 16604, 16391, 16400, 16408, 16402, 16404, 16392, 16410, 44637, 16702, 16397, 16433, 16397, 16433, 16397, 18035, 16397, 43908, 17429, 18553, 22655, 16797, 16395, 16604, 16401, 16401, 16400, 16687, 16397, 16418, 16397, 16418, 16397, 16604, 16401, 16404, 16407, 16395, 16604, 16401, 16405, 16399, 16604, 16391, 16400, 16408, 16402, 16406, 16392, 16410, 43293, 37942, 47807, 21082, 18035, 16397, 18553, 22655, 16797, 16673, 35980, 16395, 16604, 16401, 16404, 16406, 16687, 16397, 16418, 16397, 16418, 16397, 16604, 16400, 16395, 16604, 16406, 16604, 16391, 16400, 16408, 16403, 16403, 16392, 16410, 36594, 20672, 16778, 16397, 16433, 16397, 16395, 17548, 16710, 16397, 16604, 16389, 16702, 16397, 16434, 16397, 26411, 16661, 18035, 16397, 35980, 16395, 16604, 16401, 16404, 16406, 16687, 16397, 16418, 16397, 16418, 16397, 16604, 16406, 16402, 16408, 16395, 16604, 16406, 16403, 16402, 16396, 16403, 16403, 16604, 16391, 16400, 16408, 16403, 16403, 16392, 16397, 16772, 46857, 26415, 16395, 26557, 18010, 16741, 16641, 18798, 16673, 17780, 16395, 17134, 18418, 24804, 16776, 16397, 52240, 53702, 16395, 19376, 16397, 16395, 16604, 16401, 16406, 16400, 16773, 16397, 16401, 16451, 16604, 16407, 16400, 16400, 16395, 16604, 16407, 16400, 16403, 16396, 16407, 16400, 16404, 16604, 16391, 16401, 32726, 16397, 16604, 16400, 16408, 16404, 16408, 16392, 16395, 21074, 16397, 26358, 16395, 16604, 16402, 16405, 16401, 16876, 16397, 16434, 16397, 16604, 16408, 16400, 16399, 16395, 16604, 16407, 16399, 16702, 16397, 52174, 16397, 16604, 16405, 16407, 16400, 16395, 16604, 16403, 16790, 16397, 20582, 16397, 16401, 16451, 16604, 16405, 16400, 16408, 16604, 16391, 16400, 16408, 16405, 16399, 16392, 16395, 16721, 16811, 33697, 27352, 17097, 17014, 16647, 17827, 16658, 16763, 16641, 16604, 16385, 22032, 21688, 16809, 40097, 16395, 16385, 17134, 16604, 16403, 16408, 16876, 16397, 16434, 16397, 16418, 16397, 16604, 25660, 16604, 16400, 16391, 16400, 16407, 16392, 16395, 17014, 16647, 30887, 16763, 17366, 16410, 16728, 23574, 16721, 16647, 47807, 20433, 16763, 16804, 16397, 16582, 18301, 18850, 16604, 16402, 16395, 16604, 16400, 16408, 16406, 16400, 16395, 16647, 19146, 21722, 35106, 16641, 17556, 51031, 41390, 16673, 16647, 62026, 16397, 17046, 17494, 16721, 16395, 21051, 19001, 40842, 20849, 16395, 16647, 46857, 16390, 16466, 22008, 16955, 22993, 28391, 16395, 18443, 16671, 22321, 21073, 21667, 16395, 16674, 16647, 20069, 16673, 26212, 17915, 16815, 16647, 30322, 18124, 20920, 16809, 16728, 16410, 16721, 16647, 46857, 16604, 16385, 22657, 31132, 26253, 26221, 16715, 17259, 17202, 16395, 16674, 31222, 16715, 63475, 16647, 25778, 16672, 22008, 16674, 16715, 34605, 21140, 16769, 17238, 39553, 16410, 16385, 16674, 16721, 16647, 19329, 23157, 16674, 57976, 16809, 16647, 46857, 16763, 16672, 17274, 20154, 20249, 16721, 16667, 39209, 16809, 16728, 16673, 22051, 16604, 16387, 16408, 16402, 16399, 16395, 16399, 16399, 16399, 16961, 16703, 19062, 16715, 16604, 16393, 16400, 16404, 16403, 35420, 16673, 62515, 16674, 30460, 21131, 16397, 16442, 16401, 16444, 18419, 16647, 46857, 16390, 16466, 17301, 18156, 16673, 26221, 16674, 20809, 18284, 18920, 16395, 17213, 21406, 17120, 16804, 16703, 21715, 20302, 16815, 16647, 18521, 16397, 16772, 19146, 21722, 27392, 16721, 16395, 21051, 17959, 35610, 50202, 16671, 20239, 16395, 16944, 17699, 18616, 17259, 16671, 18062, 16395, 16734, 21974, 16682, 19260, 16673, 23428, 20853, 16674, 30262, 16671, 16647, 18660, 16674, 16647, 18490, 16395, 16986, 16763, 17028, 21963, 16671, 18421, 19310, 62026, 16809, 16647, 46857, 16397, 57852, 16671, 16647, 19675, 21981, 26026, 16647, 31388, 16673, 47807, 20433, 16741, 17827, 16658, 16395, 16647, 19146, 21722, 27392, 16721, 16811, 21056, 16641, 46641, 18710, 16673, 16647, 17827, 16658, 16390, 16466, 20124, 18545, 28566, 20584, 16395, 16944, 16955, 17579, 21216, 16992, 30432, 16674, 16944, 17120, 16703, 23679, 16672, 16667, 18865, 16809, 16647, 18597, 16661, 21588, 17131, 16604, 25660, 16604, 16400, 16391, 16400, 16407, 16392, 16674, 16604, 16391, 16401, 16399, 16392, 16397, 23121, 16395, 16733, 28391, 16671, 20249, 62026, 16809, 16647, 46857, 19028, 16941 ]
[ 0, 38194, 16604, 16474, 16386, 16466, 16400, 16476, 16582, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16582, 16582, 49031, 16647, 20671, 16721, 17280, 20969, 40760, 31101, 16704, 16641, 20854, 18710, 16672, 49352, 16674, 38550, 31936, 16604, 16442, 16415, 16463, 16877, 16397, 16399, 16399, 16408, 16401, 16400, 16406, 16406, 16396, 16422, 57776, 16400, 16444, 16721, 16872, 19151, 19800, 19761, 16672, 16647, 18492, 16673, 16647, 22355, 21559, 16666, 32830, 19970, 16734, 21531, 17928, 16397, 17958, 20969, 16807, 24727, 16671, 16914, 40760, 32978, 20371, 16944, 16873, 16769, 16804, 17494, 16395, 37209, 17172, 16767, 17213, 23402, 16914, 25376, 18213, 16674, 47079, 16769, 48339, 16785, 50270, 16666, 16815, 19419, 27319, 16704, 20236, 16604, 16442, 16415, 16463, 16877, 16397, 16399, 16399, 16408, 16401, 16400, 16406, 16406, 16396, 16417, 22873, 16677, 16400, 16444, 16395, 16850, 17213, 31542, 16807, 26030, 16992, 23679, 16604, 16442, 16415, 16463, 16877, 16397, 16399, 16399, 16408, 16401, 16400, 16406, 16406, 16396, 18621, 38282, 16400, 16444, 16397, 16772, 40760, 32978, 16673, 20969, 36571, 17123, 17539, 16815, 16647, 63929, 17415, 17259, 20671, 17789, 34131, 27793, 16395, 18070, 21958, 19527, 16395, 17820, 16904, 16754, 18093, 28578, 16395, 26987, 26459, 16674, 20969, 16396, 27044, 32975, 16395, 17274, 16741, 40632, 25376, 18213, 16395, 50270, 16666, 19056, 16674, 25035, 20627, 16604, 16442, 16415, 16463, 16877, 16397, 16399, 16399, 16408, 16401, 16400, 16406, 16406, 16396, 26795, 16400, 16444, 16395, 16604, 16442, 16415, 16463, 16877, 16397, 16399, 16399, 16408, 16401, 16400, 16406, 16406, 16396, 16423, 25942, 16400, 16444, 16397, 16582, 16582, 31297, 16964, 16672, 19971, 20189, 16674, 28578, 18325, 16647, 20969, 21559, 16666, 32978, 17724, 21293, 40760, 28593, 16672, 16647, 28578, 16673, 25035, 20627, 16604, 16442, 16415, 16463, 16877, 16397, 16399, 16399, 16408, 16401, 16400, 16406, 16406, 16396, 23828, 17075, 16400, 16444, 16395, 16604, 16442, 16415, 16463, 16877, 16397, 16399, 16399, 16408, 16401, 16400, 16406, 16406, 16396, 40681, 17537, 16400, 16444, 16397, 23466, 16395, 16671, 17967, 16647, 64923, 16673, 20969, 32978, 16728, 16704, 24812, 16671, 24416, 16647, 25035, 20627, 16767, 18898, 28847, 16671, 17310, 16673, 20854, 27319, 16674, 16671, 17967, 17072, 31517, 28593, 16672, 28227, 44183, 17065, 19971, 16396, 22744, 22383, 16672, 33620, 16604, 16442, 16415, 16463, 16877, 16397, 16399, 16399, 16408, 16401, 16400, 16406, 16406, 16396, 18621, 38282, 16400, 16444, 16397, 24423, 37509, 16769, 32185, 21041, 16395, 16674, 17199, 17827, 27827, 16715, 25461, 52829, 37431, 16721, 16769, 16922, 40905, 16671, 17928, 16741, 16641, 30908, 16673, 30230, 17957, 17928, 16397, 17812, 30220, 18379, 38826, 37509, 17415, 36473, 32975, 16767, 34146, 16674, 21554, 23402, 16715, 22372, 16604, 16442, 16415, 16463, 16877, 16397, 16399, 16399, 16408, 16401, 16400, 16406, 16406, 16396, 40681, 17537, 16400, 16444, 16395, 16604, 16442, 16415, 16463, 16877, 16397, 16399, 16399, 16408, 16401, 16400, 16406, 16406, 16396, 25264, 17118, 16400, 16444, 16395, 16674, 30460, 38267, 16604, 16442, 16415, 16463, 16877, 16397, 16399, 16399, 16408, 16401, 16400, 16406, 16406, 16396, 16434, 28692, 17768, 16400, 16444, 16395, 16604, 16442, 16415, 16463, 16877, 16397, 16399, 16399, 16408, 16401, 16400, 16406, 16406, 16396, 16427, 23392, 16400, 16444, 16397, 24792, 16709, 21964, 17052, 21110, 16395, 19739, 27894, 16604, 16442, 16415, 16463, 16877, 16397, 16399, 16399, 16408, 16401, 16400, 16406, 16406, 16396, 16437, 16855, 20537, 16400, 16444, 16674, 25119, 16604, 16442, 16415, 16463, 16877, 16397, 16399, 16399, 16408, 16401, 16400, 16406, 16406, 16396, 16416, 16735, 20537, 16400, 16444, 36473, 32975, 16767, 20854, 16674, 25461, 18898, 23402, 16395, 16785, 20140, 36473, 20609, 16715, 20854, 16674, 34146, 27319, 16397, 18523, 17213, 19831, 17132, 16804, 18379, 16647, 17154, 34146, 27319, 16604, 16442, 16415, 16463, 16877, 16397, 16399, 16399, 16408, 16401, 16400, 16406, 16406, 16396, 16434, 28692, 17768, 16401, 16444, 16397, 39913, 16647, 20445, 16673, 16647, 58688, 28578, 16673, 22265, 16674, 20854, 27319, 16868, 19031, 16647, 33010, 16673, 20609, 16709, 16647, 17788, 16395, 18715, 28551, 16693, 16397, 16454, 16397, 16604, 16442, 16415, 16463, 16877, 16397, 16399, 16399, 16408, 16401, 16400, 16406, 16406, 16396, 24578, 16458, 23474, 16400, 16444, 16395, 16604, 16442, 16415, 16463, 16877, 16397, 16399, 16399, 16408, 16401, 16400, 16406, 16406, 16396, 42717, 57410, 16400, 16444, 16395, 20584, 16673, 27319, 16767, 18898, 37431, 16674, 16671, 20721, 16914, 17301, 16396, 20524, 19208, 16671, 17788, 16674, 18368, 21958, 19527, 16397, 16582, 16582, 23403, 52311, 27894, 27319, 16673, 16670, 17236, 16452, 20506, 20969, 16734, 18187, 17815, 50270, 16666, 16769, 16922, 18715, 16671, 16703, 22499, 16809, 49862, 16395, 18839, 16980, 16873, 16769, 16767, 16647, 37431, 16673, 16914, 21559, 16666, 18898, 16397, 27385, 16811, 17585, 16673, 20969, 16769, 16647, 17142, 56974, 28931, 28607, 17435, 16699, 21964, 17052, 21110, 16604, 16393, 16416, 17651, 60871, 16768, 31864, 16786, 16768, 16393, 16674, 16604, 16393, 16421, 51751, 17451, 16465, 19960, 16393, 16721, 19947, 16709, 63677, 17361, 16467, 28321, 48208, 16672, 16647, 21522, 27713, 16397, 18708, 16769, 17142, 25689, 31030, 16674, 56639, 38946, 18399, 25093, 20969, 16734, 17238, 17476, 17417, 16396, 17977, 16890, 16674, 17211, 39169, 16840, 31256, 44276, 16397, 16604, 16393, 16416, 16397, 31864, 16786, 16768, 16393, 16704, 16641, 17301, 16396, 45631, 20969, 17914, 16671, 21182, 28432, 16895, 16950, 28089, 20470, 16809, 24044, 17225, 25025, 33851, 16815, 17073, 18262, 23124, 16604, 16391, 22848, 16392, 16395, 16734, 19751, 19134, 18960, 16674, 16667, 23381, 22745, 17417, 28363, 16673, 16641, 18487, 16688, 16956, 18403, 16673, 23084, 16673, 17202, 16604, 16442, 16415, 16463, 16877, 16397, 16399, 16399, 16408, 16401, 16400, 16406, 16406, 16396, 20434, 16400, 16444, 16395, 25743, 16604, 16393, 16421, 16397, 17451, 16465, 19960, 16393, 17257, 16804, 21182, 16950, 28089, 26787, 16815, 16647, 18262, 23124, 16674, 16872, 16641, 29794, 17417, 28363, 16673, 16931, 16604, 16402, 16671, 16604, 16403, 17202, 16604, 16442, 16415, 16463, 16877, 16397, 16399, 16399, 16408, 16401, 16400, 16406, 16406, 16396, 18388, 25469, 16659, 16400, 16444, 16397, 46937, 16466, 16673, 25998, 25627, 16767, 16647, 25461, 18898, 22265, 16769, 17027, 17238, 17476, 16715, 17490, 20969, 16604, 16442, 16415, 16463, 16877, 16397, 16399, 16399, 16408, 16401, 16400, 16406, 16406, 16396, 16418, 17456, 16646, 16400, 16444, 16395, 16604, 16442, 16415, 16463, 16877, 16397, 16399, 16399, 16408, 16401, 16400, 16406, 16406, 16396, 40628, 16668, 17795, 16400, 16444, 16395, 16604, 16442, 16415, 16463, 16877, 16397, 16399, 16399, 16408, 16401, 16400, 16406, 16406, 16396, 16430, 52800, 16400, 16444, 16397, 34602, 25998, 25627, 16674, 17362, 17415, 19971, 38409, 16807, 16992, 19074, 16715, 16604, 16393, 16421, 16397, 17451, 16465, 19960, 16393, 27319, 16673, 16647, 16687, 16885, 17060, 41627, 17014, 19739, 16734, 20854, 19528, 16604, 16442, 16415, 16463, 16877, 16397, 16399, 16399, 16408, 16401, 16400, 16406, 16406, 16396, 16418, 17456, 16646, 16400, 16444, 16395, 16604, 16442, 16415, 16463, 16877, 16397, 16399, 16399, 16408, 16401, 16400, 16406, 16406, 16396, 40628, 16668, 17795, 16400, 16444, 16944, 17699, 20776, 16647, 38550, 19056, 16673, 17274, 34146, 27319, 16604, 16442, 16415, 16463, 16877, 16397, 16399, 16399, 16408, 16401, 16400, 16406, 16406, 16396, 60508, 17768, 16400, 16444, 16397, 28224, 25998, 25627, 16674, 17238, 18229, 38409, 16958, 17494, 18325, 16647, 18734, 18898, 16673, 21559, 16673, 16604, 16393, 16416, 16397, 31864, 16786, 16768, 16393, 16672, 16647, 27713, 16395, 16734, 23956, 16673, 60405, 17187, 18846, 19795, 16958, 19074, 16604, 16442, 16415, 16463, 16877, 16397, 16399, 16399, 16408, 16401, 16400, 16406, 16406, 16396, 16430, 52800, 16400, 16444, 16397, 17170, 18937, 16721, 25998, 25627, 16704, 16804, 21999, 21575, 23674, 16767, 16647, 25461, 22265, 16397, 44412, 20189, 16674, 36473, 25625, 16673, 17490, 20969, 16767, 34146, 16674, 20854, 23402, 16769, 17027, 17476, 16397, 16604, 16393, 16416, 16397, 31864, 16786, 16768, 16393, 34146, 27319, 35885, 53958, 22833, 63134, 32975, 16672, 24511, 16671, 20854, 27319, 16734, 18846, 19795, 16673, 39346, 21425, 16674, 52150, 16674, 19251, 20470, 16390, 28259, 16395, 17437, 16604, 16393, 16421, 16397, 17451, 16465, 19960, 16393, 21554, 16674, 22530, 27319, 17132, 16804, 17299, 22383, 16672, 25035, 20627, 16604, 16442, 16415, 16463, 16877, 16397, 16399, 16399, 16408, 16401, 16400, 16406, 16406, 16396, 16416, 16735, 20537, 16400, 16444, 16397, 16582, 16582, 16853, 20199, 16673, 16647, 17875, 18077, 16704, 16671, 24416, 16647, 17661, 20147, 16673, 34146, 16674, 20854, 27319, 16673, 16604, 16393, 16416, 16397, 31864, 16786, 16768, 16393, 16674, 16604, 16393, 16421, 16397, 17451, 16465, 19960, 16393, 17655, 55075, 25732, 19971, 20609, 16397, 18708, 20609, 16769, 21197, 21194, 16671, 26426, 16647, 17661, 20147, 16673, 20041, 16396, 57915, 27319, 16674, 17823, 16647, 51557, 16673, 37449, 16674, 31517, 21331, 16673, 40848, 16672, 19971, 28578, 16604, 16442, 16415, 16463, 16877, 16397, 16399, 16399, 16408, 16401, 16400, 16406, 16406, 16396, 42810, 20581, 16400, 16444, 16397, 27801, 55075, 16798, 28189, 19971, 28578, 16674, 23777, 16673, 17417, 16396, 37522, 32975, 16674, 20781, 55075, 25732, 20609, 16721, 18379, 30823, 16672, 25035, 20627, 18443, 16671, 37449, 21179, 42907, 16672, 16647, 18805, 16395, 16958, 17405, 16672, 16811, 18077, 16397, 22935, 16717, 19456, 20041, 16396, 19338, 36473, 20609, 16715, 16647, 17142, 20969, 16769, 20140, 16674, 28060, 16734, 18314, 16709, 55075, 19971, 19134, 18960, 16395, 17881, 24797, 20041, 21559, 16395, 16741, 17204, 16741, 18462, 29214, 16674, 39693, 16798, 16673, 16647, 55075, 19971, 19134, 18960, 16671, 19029, 16672, 20041, 16396, 27044, 25035, 20627, 16397, 19253, 22365, 16395, 16742, 28649, 17356, 16721, 16647, 55075, 19971, 19134, 18960, 17208, 16703, 19251, 16674, 16922, 24579, 16672, 16647, 34146, 17032, 16672, 16647, 20854, 27319, 16674, 16721, 16647, 29214, 16673, 16647, 55075, 19971, 19134, 18960, 17208, 16703, 16922, 25628, 16671, 19029, 16672, 42111, 16672, 16647, 34146, 27319, 16397, 26713, 16395, 17213, 28830, 20199, 16671, 24448, 16671, 19364, 20287, 16673, 36473, 59384, 16672, 34146, 26041, 20854, 27319, 16674, 16914, 24585, 16715, 48988, 16673, 27319, 16767, 16914, 18229, 16396, 27331, 20161, 21559, 16666, 24727, 16397, 16582, 16582, 65433, 16674, 33486, 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, 16582, 16582, 42888, 30552, 16604, 16474, 16386, 16466, 16401, 16448, 16476, 16582, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16582, 16582, 17635, 18077, 16763, 22546, 16709, 16647, 25886, 22784, 16673, 33836, 16674, 16647, 25886, 22784, 16673, 60405, 16672, 21298, 26211, 16395, 22358, 16395, 16647, 25461, 16396, 26317, 16674, 20854, 27319, 16673, 16604, 16393, 16421, 16397, 17451, 16465, 19960, 16393, 16674, 16604, 16393, 16416, 16397, 31864, 16786, 16768, 16393, 16397, 18708, 20969, 16807, 26447, 24797, 27894, 25461, 16396, 26317, 27319, 16709, 16647, 25886, 22784, 16673, 33836, 16715, 16767, 17965, 16647, 17367, 16604, 16404, 16399, 17202, 16604, 16442, 16415, 16463, 16877, 16397, 16399, 16399, 16408, 16401, 16400, 16406, 16406, 16396, 16416, 16735, 20537, 16401, 16444, 16397, 16875, 33836, 16395, 16647, 18077, 16673, 16604, 16393, 16421, 16397, 17451, 16465, 19960, 16393, 16763, 20888, 16672, 16965, 23171, 16829, 23607, 33207, 16604, 16391, 16403, 16400, 21896, 16403, 16400, 29084, 16401, 16406, 36016, 16429, 16410, 16604, 16407, 21896, 16404, 16399, 29084, 16404, 16406, 36016, 16438, 16392, 16674, 18235, 16658, 23091, 16604, 16391, 16403, 16400, 21896, 16402, 16407, 29084, 16401, 16405, 36016, 16429, 16410, 16604, 16407, 21896, 16403, 16408, 29084, 16401, 16401, 36016, 16438, 16392, 16674, 16715, 16604, 16393, 16416, 16397, 31864, 16786, 16768, 16393, 17097, 16672, 16965, 23171, 16829, 23607, 33207, 16395, 16647, 25461, 18169, 19971, 16672, 16647, 28763, 27713, 16604, 16391, 16403, 16400, 21896, 16403, 16400, 29084, 16403, 16408, 36016, 16429, 16410, 16604, 16407, 21896, 16404, 16400, 29084, 16399, 16407, 36016, 16438, 16392, 16397, 16875, 16647, 20667, 22784, 16395, 17142, 27319, 16673, 17490, 20969, 16958, 47089, 16395, 16672, 26017, 17435, 16867, 16604, 16391, 16403, 16407, 21896, 16403, 16402, 29084, 16402, 16407, 36016, 16429, 16410, 16604, 16402, 21896, 16404, 16408, 29084, 16401, 16401, 36016, 16438, 16392, 16674, 16672, 28459, 17833, 16604, 16391, 16403, 16407, 21896, 16403, 16401, 29084, 16403, 16405, 36016, 16429, 16410, 16604, 16403, 21896, 16399, 16400, 29084, 16401, 16402, 36016, 16438, 16392, 16397, 16582, 16582, 16853, 20854, 27319, 16673, 17490, 20969, 16958, 20186, 16672, 63677, 16660, 16975, 16395, 24688, 16809, 19318, 16673, 33042, 31161, 17437, 16647, 25461, 22265, 27319, 16769, 16709, 16667, 17671, 22784, 16395, 24810, 16671, 46738, 41191, 56586, 16397, 18523, 16395, 16647, 18124, 16673, 16647, 31138, 17187, 16604, 16393, 16416, 16397, 31864, 16786, 16768, 16393, 16674, 16604, 16393, 16421, 16397, 17451, 16465, 19960, 16393, 19947, 16704, 24688, 16815, 16647, 17815, 18865, 16673, 27326, 16809, 16641, 18122, 24917, 16673, 29922, 20186, 16672, 18801, 16673, 16914, 19147, 16397, 17170, 16704, 25402, 16809, 16647, 33645, 16395, 16672, 17213, 63677, 32205, 16673, 16647, 31138, 16395, 16673, 25446, 52900, 29056, 16459, 17553, 31684, 16809, 16604, 16393, 64116, 28151, 16915, 38829, 16675, 16748, 17180, 16393, 16395, 16604, 16393, 16421, 16397, 42116, 16656, 16393, 16674, 16604, 16393, 16421, 16397, 48981, 16675, 62103, 16730, 16393, 16674, 16604, 16393, 16416, 16397, 31864, 16786, 16768, 16393, 16397, 16582, 16582, 19084, 18462, 46419, 16958, 19062, 16671, 17783, 16811, 18077, 17608, 16728, 17132, 16804, 23006, 20555, 16673, 41328, 16674, 22087, 16673, 16647, 20969, 23954, 16955, 43621, 16785, 24688, 20584, 16397, 16582, 16582, 19315, 21186, 16958, 24906, 31684, 16809, 28607 ]
[ 0, 16396, 16396, 16396, 16582, 38841, 16409, 16604, 16475, 16582, 16696, 20404, 24518, 16674, 23660, 19335, 16395, 16742, 21986, 17009, 21532, 16721, 18171, 16396, 52686, 16802, 19258, 31220, 16671, 16647, 17650, 16673, 18950, 39496, 16397, 18196, 46180, 17213, 16395, 16647, 18900, 20096, 16709, 19001, 25004, 16672, 16647, 17650, 16673, 20052, 22945, 16704, 26370, 16691, 16396, 29715, 37211, 16397, 17119, 18385, 16721, 16858, 21399, 19359, 16671, 21544, 17109, 16671, 18222, 18171, 16396, 52686, 16802, 16671, 19644, 16647, 26744, 16673, 16647, 18171, 16396, 52686, 16802, 17434, 16396, 20876, 16396, 18922, 16397, 32906, 16395, 16647, 40769, 17434, 16743, 16466, 20937, 17699, 17448, 18434, 20839, 35715, 16673, 18950, 39496, 16397, 17119, 20781, 32889, 16647, 41257, 16673, 26095, 17055, 18888, 18755, 16395, 16944, 25684, 16641, 22341, 16673, 17709, 19140, 16674, 16977, 32043, 16709, 17434, 20937, 16721, 63313, 16672, 26965, 16671, 16647, 16604, 16391, 16642, 17015, 38710, 16392, 18356, 16673, 20937, 16672, 16647, 17434, 16396, 20876, 16396, 18922, 16397, 18411, 50178, 17055, 18888, 18755, 19933, 16641, 19406, 20189, 16715, 16647, 20384, 16673, 40769, 21544, 16721, 20634, 16715, 17490, 18206, 16396, 35988, 16674, 38710, 26536, 16395, 22965, 20052, 22945, 16715, 40769, 19258, 16709, 16641, 50761, 16741, 17204, 16741, 21975, 17743, 16397, 16582, 16582, 16696, 16396, 52686, 16802, 17434, 16395, 20052, 22945, 16395, 18950, 39496, 16395, 20052, 23777, 16582, 26371, 16409, 16582, 16396, 21902, 16796, 18624, 16387, 16445, 16400, 16387, 16582, 16396, 31353, 37317, 42647, 17478, 16387, 16445, 16400, 16387, 16582, 16396, 47170, 42011, 16459, 17484, 17478, 16387, 16445, 16400, 16387, 16582, 16396, 23854, 26064, 56411, 16737, 16387, 16445, 16401, 16387, 16582, 16396, 29951, 16744, 41027, 16387, 16445, 16401, 16387, 16582, 16396, 23472, 16684, 16702, 28878, 16387, 16445, 16401, 16387, 16582, 16396, 17143, 21722, 18609, 27701, 16387, 16445, 16401, 16387, 16582, 16396, 18415, 16762, 32233, 43694, 16387, 16445, 16401, 16387, 16582, 16449, 34289, 20147, 16409, 16582, 16396, 16604, 16390, 16644, 21436, 16397, 54690, 16390, 16582, 23718, 16409, 16604, 16475, 16582, 16696, 61764, 16661, 30912, 20111, 19403, 16443, 16582, 16696, 16928, 46141, 16802, 25375, 16409, 16443, 16582, 16696, 16853, 18411, 50178, 18035, 18888, 18755, 35301, 34736, 16582, 16396, 16396, 16396, 16582, 16582, 16649, 16604, 16391, 22500, 19242, 16397, 49093, 16392, 16604, 16410, 16582, 16582, 38194, 16582, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16582, 16582, 38235, 19193, 16395, 16647, 29470, 16673, 20052, 22945, 16872, 23693, 59203, 16647, 17650, 17181, 16944, 23304, 17460, 20052, 19258, 16397, 16875, 16647, 17367, 17589, 17202, 16395, 17788, 18717, 16396, 26514, 16466, 16672, 16647, 22262, 16673, 29155, 23550, 16674, 21537, 19470, 16807, 29043, 17009, 29422, 16721, 16807, 21216, 16992, 19570, 16672, 16996, 16676, 17268, 16785, 16994, 17441, 19680, 16671, 28125, 17065, 16734, 16604, 16894, 63773, 16900, 33610, 16409, 37266, 19521, 24702, 16395, 19588, 19762, 22402, 16395, 16785, 19270, 18065, 16741, 16728, 16704, 17405, 16672, 19680, 18592, 16769, 23490, 22879, 16397, 16772, 23526, 21003, 16769, 26250, 19863, 16641, 20240, 21586, 16673, 20239, 16397, 18523, 16395, 16741, 16673, 17178, 16395, 16873, 16769, 21187, 21882, 16709, 17975, 16396, 47281, 19147, 16673, 17231, 16395, 16767, 17965, 17014, 25388, 17714, 18613, 18206, 35090, 16397, 27951, 40095, 23540, 19565, 21537, 19470, 16769, 17747, 16671, 30645, 16395, 24500, 16641, 19744, 16673, 19956, 25162, 17365, 16715, 17259, 17889, 19617, 19147, 16397, 16582, 16582, 17507, 18385, 16721, 16672, 17970, 16671, 24878, 20258, 19415, 16673, 19956, 25162, 17365, 31065, 16671, 17204, 16396, 21230, 28054, 25054, 16395, 16742, 17109, 16804, 25167, 43700, 16647, 24404, 16673, 28054, 20052, 17709, 16850, 17109, 16671, 17460, 16641, 17009, 19474, 19863, 20052, 21544, 16397, 17119, 18510, 16671, 17460, 16641, 17434, 16674, 17073, 17709, 32511, 16672, 16641, 23677, 20989, 17187, 17492, 17242, 16396, 29372, 26699, 16671, 16891, 61865, 16647, 16977, 16397, 17119, 17322, 16811, 19474, 16604, 16393, 17651, 50178, 17055, 18888, 18755, 16393, 16674, 19443, 16671, 17299, 16647, 33489, 16673, 17274, 16667, 19474, 16397, 17119, 18453, 16721, 19956, 16672, 16721, 24566, 16604, 16391, 16658, 18655, 19528, 16392, 16843, 17261, 16671, 17799, 16641, 17009, 17650, 16715, 18950, 39496, 16395, 17199, 16715, 26431, 39593, 19258, 16397, 16582, 16582, 31181, 16641, 17772, 16396, 19671, 19474, 16671, 16647, 18710, 16395, 16742, 17298, 16672, 23728, 18331, 16443, 16442, 19810, 16409, 59277, 16443, 16444, 16809, 32728, 16641, 24518, 24819, 16715, 16647, 23289, 16673, 19258, 16397, 17119, 54623, 16728, 16671, 17027, 18379, 16647, 17650, 16673, 20052, 16674, 17434, 18356, 16397, 23728, 18331, 16443, 16442, 19810, 16409, 21670, 16396, 18014, 16443, 16444, 19522, 16641, 18187, 31233, 16709, 19359, 16985, 16397, 19912, 23824, 18603, 16674, 23660, 18019, 16395, 16742, 26551, 17910, 21554, 26417, 16715, 16647, 22945, 16673, 40769, 19258, 16672, 23728, 18331, 16443, 16442, 19810, 16409, 57285, 16466, 16443, 16444, 16397, 16875, 17970, 16671, 34429, 17213, 16734, 17038, 24518, 24819, 16395, 23728, 18331, 16443, 16442, 19810, 16409, 17651, 16652, 29041, 16443, 16444, 21998, 16667, 25651, 16673, 17038, 28370, 16673, 31812, 16674, 16914, 19617, 16671, 16667, 50388, 20052, 21544, 17650, 16397, 16875, 23728, 18331, 16443, 16442, 19810, 16409, 17550, 32628, 16443, 16444, 16742, 17620, 16944, 17717, 26095, 17055, 18888, 18755, 16872, 16709, 16641, 22525, 16673, 23660, 20052, 22945, 25004, 16674, 17072, 16728, 20954, 19682, 16647, 21554, 26417, 16397, 24229, 16395, 23728, 18331, 16443, 16442, 19810, 16409, 16979, 21462, 16443, 16444, 19522, 16641, 18187, 25228, 16397, 16582, 16582, 21307, 16666, 41274, 16604, 16474, 16386, 19810, 16409, 59277, 16476, 16582, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16582, 16582, 17071, 16811, 19648, 16742, 26551, 16641, 24518, 24819, 16741, 16641, 20445, 16715, 17038, 19335, 16397, 17119, 17092, 17799, 19028, 16647, 24819, 20101, 16672, 16604, 16442, 16415, 19737, 54539, 16401, 16399, 16400, 16400, 64438, 17981, 16444, 16671, 24560, 40769, 19258, 16674, 17177, 22040, 16671, 18188, 16931, 16647, 21449, 16673, 16914, 35040, 20189, 16709, 20052, 25401, 16397, 16582, 16582, 20501, 45280, 46141, 16802, 25375, 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, 17507, 27043, 28404, 16647, 24518, 35083, 16673, 17038, 39882, 19359, 16671, 16647, 23289, 16673, 19258, 16815, 16604, 16442, 16415, 19737, 54539, 16401, 16399, 16400, 16400, 64438, 17981, 16444, 16409, 17119, 23467, 16641, 17434, 16741, 16667, 34820, 24511, 17030, 16641, 17280, 16673, 25625, 16397, 16582, 16582, 16443, 16442, 18280, 16409, 29372, 16443, 16444, 19412, 16604, 16387, 16424, 16387, 16703, 16641, 16604, 16391, 42086, 16785, 32866, 16392, 17280, 16395, 16674, 17723, 16604, 16387, 16443, 20824, 16474, 16437, 16476, 16604, 16412, 16604, 16391, 16437, 16446, 16456, 16392, 16446, 16474, 16456, 16604, 16443, 16642, 16687, 16476, 16387, 16703, 16641, 17797, 16673, 22103, 16397, 16711, 16604, 16393, 29372, 16393, 16673, 18383, 16604, 16387, 16443, 20824, 16474, 16437, 16476, 16387, 16704, 16641, 24511, 16604, 16387, 16434, 16387, 16673, 18383, 16604, 16387, 16443, 20824, 16474, 16437, 16476, 16387, 16397, 16582, 16582, 33661, 16641, 19750, 16604, 16387, 16434, 16387, 16395, 16667, 20688, 16604, 16387, 16466, 16604, 16443, 16642, 16702, 16387, 16704, 18047, 16647, 17731, 16673, 16647, 17434, 16397, 17544, 23660, 23185, 16395, 16742, 19294, 17137, 16671, 41884, 19001, 20049, 16673, 16641, 17434, 16743, 16466, 17731, 18692, 16397, 17544, 16811, 18188, 16395, 20049, 16673, 16647, 17434, 24511, 16673, 18383, 16604, 16387, 16443, 20824, 16474, 16437, 16476, 16387, 18201, 16809, 16667, 21304, 17280, 16604, 16387, 16425, 16604, 16443, 50514, 16687, 16387, 16395, 17226, 16397, 16452, 16397, 16395, 16604, 16387, 16391, 16437, 16446, 16457, 16392, 16446, 16474, 16457, 16604, 16443, 16642, 16832, 16476, 16387, 16395, 17123, 16703, 19570, 16604, 16393, 60760, 16393, 16674, 16977, 20049, 18201, 16809, 16641, 17476, 21304, 17280, 17123, 16703, 19570, 16604, 16393, 26418, 16466, 16393, 16604, 16442, 16415, 19737, 54539, 16401, 16399, 16400, 16400, 64438, 17981, 16444, 16397, 21799, 16834, 16395, 16811, 18199, 17028, 19777, 16671, 16647, 17434, 16397, 26163, 54630, 16395, 16742, 19294, 37298, 16647, 21425, 20049, 16673, 16647, 17434, 17655, 16647, 20820, 20049, 16397, 16582, 16582, 17507, 26551, 17142, 16922, 28727, 17242, 16396, 62232, 16673, 16647, 17434, 24511, 16409, 16604, 16393, 59592, 18450, 16393, 16674, 16604, 16393, 62302, 16393, 16397, 18708, 45960, 21278, 27043, 16671, 16647, 22696, 20285, 16673, 34481, 16674, 41232, 20986, 17329, 16397, 16772, 19580, 16704, 16647, 17015, 16673, 16647, 17434, 17731, 18692, 16721, 20519, 47668, 34053, 16858, 17624, 16647, 17434, 16872, 16931, 17073, 17731, 16397, 17170, 17123, 18379, 20049, 16721, 16647, 17434, 17257, 16807, 17769, 18123, 17030, 16604, 16391, 21202, 16742, 16961, 18328, 21263, 16396, 16974, 58173, 17014, 17655, 16647, 28370, 16673, 16604, 16894, 22979, 16900, 16392, 16397, 16772, 20937, 47668, 34053, 16647, 20049, 16673, 16647, 17434, 16721, 16843, 17097, 16703, 37589, 16809, 26666, 16647, 17434, 24511, 16397, 44312, 16395, 16811, 17257, 16604, 16393, 18060, 16393, 37919, 16721, 16647, 17434, 16872, 17769, 18123, 17030, 16647, 19795, 16397, 26713, 16395, 16641, 17434, 17123, 16807, 16667, 16604, 16393, 30697, 17731, 16393, 16395, 16944, 16704, 20049, 16673, 16647, 17731, 18692, 16721, 16769, 23827, 19618, 16672, 16647, 19580, 21575, 16672, 16647, 20937, 16397, 18196, 16742, 16769, 16804, 20309, 16672, 16647, 22207, 18692, 16395, 16742, 16843, 19130, 16641, 17434, 16741, 16641, 31586, 16815, 23910, 16671, 20937, 16395, 19517, 16604, 16387, 16434, 16604, 16412, 18126, 16604, 16443, 25982, 18701, 16474, 16441, 16476, 16474, 16443, 47384, 36634, 16476, 16966, 16387, 16715, 23910, 16604, 16387, 16439, 16387, 16674, 31585, 16604, 16387, 16440, 16387, 16395, 17187, 16604, 16387, 16441, 16387, 16704, 16647, 22207, 17731, 16673, 16647, 17434, 16604, 16387, 16434, 16387, 16397, 25453, 17213, 45960, 16395, 16742, 16843, 16922, 36197, 16697, 24560, 16991, 21454, 16709, 19258, 16397, 23079, 18211, 16647, 18089, 16673, 17796, 20905, 16672, 16604, 16442, 16415, 19737, 54539, 16401, 16399, 16400, 16400, 64438, 17981, 16444, 16395, 16742, 17137, 16671, 17799, 19258, 16891, 16673, 16977, 19258, 16397, 18073, 16647, 21554, 16673, 20052, 22945, 16395, 16986, 16704, 16647, 25879, 16673, 16691, 16396, 16893, 16673, 22539, 16395, 16944, 16742, 17137, 16671, 27663, 16672, 17038, 24518, 17502, 16397, 16582, 16582, 20201, 16604, 16387, 16434, 16446, 16400, 16387, 16674, 16604, 16387, 16434, 16446, 16401, 16387, 16703, 19258, 16673, 20286, 16604, 16387, 16443, 20824, 16474, 16437, 16476, 16446, 16400, 16604, 16412, 16604, 16391, 16437, 16446, 16474, 16400, 16395, 16456, 16476, 16392, 16446, 16474, 16456, 16604, 16443, 16642, 16687, 16446, 16400, 16476, 16387, 16674, 16604, 16387, 16443, 20824, 16474, 16437, 16476, 16446, 16401, 16604, 16412, 16604, 16391, 16437, 16446, 16474, 16401, 16395, 16456, 16476, 16392, 16446, 16474, 16456, 16604, 16443, 16642, 16687, 16446, 16401, 16476, 16387, 16395, 22358, 16397, 19412, 16604, 16387, 16443, 20824, 16474, 16433, 16476, 16391, 16443, 20824, 16474, 16437, 16476, 16392, 16387, 16703, 16647, 24020, 16673, 16858, 18459, 17030, 16604, 16387, 16443, 20824, 16474, 16437, 16476, 16387, 16397, 16711, 16604, 16393, 58756, 25866, 16393, 16604, 16387, 16443, 34318, 16387, 16704, 16641, 17917, 17274, 16721, 16604, 16387, 16434, 16446, 16400, 16604, 16443, 34318, 16702, 16446, 16401, 16604, 16443, 16642, 16604, 16443, 20824, 16474, 16433, 16476, 16391, 16443, 20824, 16474, 16437, 16476, 16392, 16387, 16715, 16991, 17797, 16673, 22103, 16604, 16387, 16443, 20824, 16474, 16437, 16476, 16387, 16734, 16604, 16387, 16437, 16446, 16474, 16400, 16395, 16400, 16476, 16395, 16604, 16397, 16397, 16397, 16395, 16965, 16446, 16474, 16400, 16395, 16460, 16476, 16395, 16965, 16446, 16474, 16401, 16395, 16400, 16476, 16395, 16604, 16397, 16397, 16397, 16395, 16965, 16446, 16474, 16401, 16395, 16461, 16476, 16604, 16443, 16642, 16604, 16443, 20824, 16474, 16437, 16476, 16387, 16397, 16442, 16445, 16400, 16444, 16772, 19617, 16673, 16641, 22332, 25866, 16704, 18047, 16604, 16393, 17070, 22709, 16393, 16397, 16772, 24686, 16671, 16641, 22332, 25866, 16769, 18047, 16604, 16393, 44365, 16393, 16397, 16582, 16582, 17861, 22709, 16704, 16804, 17097, 17889, 16671, 18528, 20052, 25401, 17989, 17038, 24518, 17502, 16395, 16850, 16728, 17027, 33763, 16647, 24518, 24819, 16715, 24375, 16409, 21821, 19258, 25566, 17014, 16873, 16769, 22722, 17655, 16641, 22332, 25866, 16604, 16387, 16443, 34318, 16387, 16721, 34868, 16721, 16647, 20937, 16673, 16604, 16391, 16649, 17965, 16392, 16917, 17434, 16704, 23611, 17989, 16647, 19580, 16673, 16604, 16391, 16649, 17965, 16392, 17653, 17434, 16397, 16582, 16582, 20201, 16604, 16387, 16434, 16604, 16412, 16702, 16446, 16400, 16604, 16443, 34318, 16702, 16446, 16401, 16387, 16703, 16641, 25989, 16673, 18383, 16604, 16387, 16443, 20824, 16474, 16437, 16476, 16387, 16673, 19258, 16604, 16387, 16434, 16446, 16400, 16387, 16674, 16604, 16387, 16434, 16446, 16401, 16387, 16673, 18383, 16604, 16387, 16443, 20824, 16474, 16437, 16476, 16446, 16400, 16387, 16674, 16604, 16387, 16443, 20824, 16474, 16437, 16476, 16446, 16401, 16387, 16395, 22358, 16395, 17655, 16641, 22332, 25866, 16604, 16387, 16443, 34318, 16387, 16397, 17426, 16986, 18622, 16641, 16604, 16387, 16437, 16446, 16400, 16604, 16443, 16642, 16604, 16443, 20824, 16474, 16437, 16476, 16446, 16400, 16387, 16674, 16641, 16604, 16387, 16437, 16446, 16401, 16604, 16443, 16642, 16604, 16443, 20824, 16474, 16437, 16476, 16446, 16401, 16387, 16674, 16641, 24511, 16604, 16387, 16433, 16604, 16443, 16642, 16965, 16446, 16400, 16604, 16443, 24360, 16965, 16446 ]
[ 0, 36300, 16582, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16582, 16582, 18377, 16704, 16667, 20209, 17654, 16672, 26144, 58363, 16809, 18805, 26459, 16672, 57653, 16674, 52337, 38267, 16671, 35138, 17072, 17476, 27319, 17699, 16807, 31739, 17825, 16671, 18222, 31336, 16671, 18070, 48525, 16395, 16674, 16671, 17967, 17072, 27319, 17123, 20023, 16671, 18206, 16396, 31263, 22525, 16397, 16875, 30460, 16662, 22227, 16647, 19971, 20189, 16704, 19272, 16671, 16703, 21801, 17172, 16673, 24730, 23273, 19924, 16395, 16674, 16728, 17699, 16703, 33669, 18515, 40769, 24739, 16671, 19029, 16672, 18567, 19689, 16396, 30448, 19527, 16785, 37727, 50117, 16807, 23619, 16672, 16811, 18122, 41461, 17639, 16758, 17585, 16397, 18708, 45866, 16807, 16992, 31363, 16809, 16667, 20209, 17679, 16673, 25998, 19831, 16673, 19971, 20189, 16604, 16443, 16442, 16442, 16415, 16417, 16400, 16444, 16396, 16442, 16415, 16417, 16402, 16444, 16443, 16444, 16397, 16772, 18314, 16872, 19193, 20152, 16815, 16647, 18661, 48325, 19971, 25998, 28830, 16671, 16667, 33701, 19514, 16715, 25201, 24507, 35024, 16671, 19588, 22525, 16604, 16443, 16442, 16442, 16415, 16417, 16403, 16444, 16395, 16442, 16415, 16417, 16404, 16444, 16443, 16444, 16397, 16772, 20236, 17679, 16673, 28227, 16396, 21670, 24507, 19074, 16671, 16703, 19970, 16734, 40769, 32975, 16672, 30460, 16785, 16693, 18024, 23021, 16856, 16662, 22227, 19497, 16647, 17567, 16396, 17977, 17516, 21662, 16677, 18252, 54040, 16745, 17129, 16938, 64736, 16604, 16443, 16442, 16442, 16415, 16417, 16405, 16444, 16443, 16444, 16395, 20158, 17314, 16889, 16646, 16751, 17651, 16406, 16399, 16604, 16443, 16442, 16442, 16415, 16417, 16406, 16444, 16443, 16444, 16395, 18437, 16736, 17054, 43597, 16758, 16774, 61194, 16954, 16604, 16443, 16442, 16442, 16415, 16417, 16407, 16444, 16443, 16444, 16395, 16674, 27713, 34118, 34431, 54403, 16642, 16604, 16443, 16442, 16442, 16415, 16417, 16408, 16444, 16395, 16442, 16415, 16417, 16400, 16399, 16444, 16443, 16444, 16674, 28215, 55786, 16604, 16443, 16442, 16442, 16415, 16417, 16400, 16400, 16444, 16443, 16444, 16397, 16772, 24002, 18077, 19194, 19591, 16715, 18070, 32383, 16672, 34118, 27319, 16809, 29213, 27732, 27287, 26592, 16647, 17476, 27312, 26570, 21454, 16673, 16647, 34118, 28215, 16905, 35604, 17407, 16672, 20125, 16758, 16674, 37147, 26669, 16397, 17008, 21963, 21084, 16715, 29213, 40769, 19971, 59468, 16704, 16671, 25384, 29703, 16838, 37155, 16395, 16785, 16647, 18456, 35085, 17014, 18125, 16395, 16715, 51012, 16675, 16862, 16845, 16671, 16703, 44511, 16672, 17476, 27319, 16604, 16443, 16442, 16442, 16415, 16417, 16404, 16444, 16443, 16444, 16397, 40935, 16673, 65070, 22525, 16672, 27713, 34118, 16763, 19194, 16809, 18487, 36722, 16661, 19705, 23273, 16396, 41792, 18494, 57850, 51012, 22747, 16604, 16391, 30348, 22776, 16392, 16672, 42964, 16674, 36367, 27713, 27319, 16604, 16443, 16442, 16442, 16415, 16417, 16400, 16401, 16444, 16396, 16442, 16415, 16417, 16400, 16403, 16444, 16443, 16444, 16397, 20603, 19319, 16862, 16845, 16958, 19628, 16671, 16703, 37033, 16734, 26809, 16674, 16398, 16658, 19841, 23818, 19527, 16721, 17699, 16703, 19970, 16734, 18070, 32383, 16397, 18523, 16395, 29076, 16673, 27732, 19029, 26592, 40769, 32975, 21384, 19642, 17624, 16931, 16647, 18462, 24507, 19423, 16674, 16647, 26525, 16785, 28073, 28771, 16673, 16647, 21766, 35857, 16397, 16582, 16582, 42123, 16704, 16667, 22009, 20688, 19062, 16715, 16647, 19134, 16674, 25341, 16673, 17154, 38267, 16395, 16674, 16647, 23083, 21775, 16704, 20821, 39242, 33910, 16809, 18295, 40192, 23083, 16396, 36209, 20671, 16604, 16443, 16442, 16442, 16415, 16417, 16400, 16404, 16444, 16443, 16444, 16397, 19641, 16768, 17333, 16453, 17604, 16642, 21846, 16641, 25573, 18814, 16672, 23083, 36481, 16741, 16728, 19522, 17154, 16673, 16647, 23083, 19062, 16715, 44745, 16666, 22072, 16604, 16443, 16442, 16442, 16415, 16417, 16400, 16405, 16444, 16443, 16444, 16397, 16772, 17142, 18826, 56932, 23083, 16396, 36209, 16862, 25981, 16673, 20010, 17333, 16453, 17604, 17407, 16769, 22816, 16671, 16807, 31402, 16809, 23273, 28444, 22093, 16673, 16641, 41473, 17334, 16723, 17080, 16666, 17510, 16604, 16443, 16442, 16442, 16415, 16417, 16400, 16406, 16444, 16395, 16442, 16415, 16417, 16400, 16407, 16444, 16443, 16444, 16395, 16944, 16872, 16992, 19074, 16672, 16641, 32185, 17589, 20969, 16397, 20361, 30789, 17333, 16453, 17604, 17407, 30434, 17097, 16917, 28406, 17404, 23083, 16395, 16850, 16811, 16704, 17172, 16673, 24730, 16774, 17901, 16942, 16672, 16647, 16719, 16396, 48276, 16862, 17100, 16604, 16443, 16442, 16442, 16415, 16417, 16400, 16408, 16444, 16443, 16444, 16397, 40935, 16673, 16641, 16604, 16403, 16403, 16396, 16458, 27786, 16678, 16750, 27654, 17333, 16453, 17604, 16642, 16734, 17097, 16917, 23083, 16396, 36209, 18758, 16763, 29283, 23829, 16672, 16641, 18242, 18077, 16604, 16443, 16442, 16442, 16415, 16417, 16401, 16399, 16444, 16443, 16444, 16395, 16674, 16641, 17556, 16709, 17334, 16723, 17080, 16666, 19936, 28215, 16736, 17604, 16642, 19678, 16891, 16671, 16703, 62457, 16604, 16443, 16442, 16442, 16415, 16417, 16401, 16400, 16444, 16443, 16444, 16397, 25129, 17334, 16723, 17080, 16666, 17333, 16453, 17604, 16642, 16872, 20821, 16992, 23574, 16671, 16703, 17875, 17097, 16672, 29154, 41849, 20969, 16673, 16647, 16876, 16689, 16717, 16995, 17099, 16604, 16443, 16442, 16442, 16415, 16417, 16401, 16401, 16444, 16396, 16442, 16415, 16417, 16401, 16403, 16444, 16443, 16444, 16397, 16711, 17333, 16453, 17604, 16642, 16396, 19064, 31406, 41559, 25732, 22036, 16604, 16391, 19121, 16431, 16392, 16734, 16641, 18494, 19056, 22077, 26570, 18758, 16763, 21766, 16672, 45501, 53886, 16674, 17316, 17964, 27212, 17054, 16604, 16443, 16442, 16442, 16415, 16417, 16401, 16404, 16444, 16396, 16442, 16415, 16417, 16401, 16406, 16444, 16443, 16444, 16395, 16850, 16647, 22036, 16763, 21270, 16671, 18658, 16641, 28121, 23286, 16673, 16647, 29993, 16396, 26306, 44352, 16701, 42603, 16453, 17604, 16642, 16604, 16391, 24701, 16453, 16392, 16604, 16443, 16442, 16442, 16415, 16417, 16401, 16407, 16444, 16443, 16444, 16397, 16772, 23384, 16715, 16667, 58387, 21090, 20463, 17334, 16723, 17080, 16666, 32911, 16673, 16647, 16604, 16393, 24701, 16453, 16393, 50559, 17699, 16703, 33553, 16809, 16647, 27353, 16673, 17490, 24507, 16672, 16647, 22189, 35085, 16397, 16582, 16582, 18753, 33960, 16647, 27793, 16673, 23083, 16715, 18744, 30150, 50401, 17333, 16453, 17604, 16642, 19522, 23759, 16671, 36011, 29160, 16604, 16443, 16442, 16442, 16415, 16417, 16401, 16408, 16444, 16395, 16442, 16415, 16417, 16402, 16399, 16444, 16443, 16444, 16395, 16850, 16667, 23083, 16396, 46443, 18814, 16673, 17333, 16453, 17604, 16642, 16672, 16647, 26709, 17434, 16704, 49609, 16809, 16647, 27303, 16673, 17333, 16453, 17604, 16642, 16674, 17073, 32174, 16672, 18334, 16700, 18155, 38409, 16672, 16647, 16681, 17644, 16730, 16604, 16443, 16442, 16442, 16415, 16417, 16402, 16400, 16444, 16443, 16444, 16397, 16772, 51409, 27083, 22072, 16673, 17333, 16453, 17604, 16642, 16672, 16647, 23083, 36481, 16674, 26709, 19208, 16958, 19193, 25402, 16672, 21964, 27390, 16395, 16944, 26415, 16671, 17490, 36011, 24493, 16674, 33759, 23083, 20584, 16809, 17374, 24329, 16647, 28037, 16674, 20483, 20825, 16673, 17333, 16453, 17604, 16642, 16604, 16443, 16442, 16442, 16415, 16417, 16402, 16401, 16444, 16443, 16444, 16397, 16738, 31848, 20969, 16807, 16641, 20710, 16673, 27287, 16715, 33403, 17333, 16453, 17604, 16642, 16396, 26306, 23083, 16604, 16443, 16442, 16442, 16415, 16417, 16402, 16402, 16444, 16443, 16444, 16395, 16674, 21667, 16715, 23083, 16815, 36011, 50401, 17120, 24127, 16703, 16641, 18354, 19419, 16673, 19588, 22525, 16709, 41461, 17639, 16758, 17333, 16453, 17604, 17407, 16397, 17544, 18185, 16395, 35328, 17605, 16813, 16397, 16604, 16443, 16442, 16442, 16415, 16417, 16402, 16403, 16444, 16443, 16444, 19194, 19591, 16715, 16641, 17333, 16453, 17604, 16642, 59535, 16741, 16641, 19037, 16396, 22744, 18813, 21348, 16672, 26370, 32764, 17867, 16856, 35386, 20062, 16395, 16674, 16832, 16865, 16760, 16448, 17605, 16813, 16397, 16604, 16443, 16442, 16442, 16415, 16417, 16402, 16404, 16444, 16443, 16444, 20332, 16721, 18343, 17333, 16453, 17604, 16642, 20716, 17189, 16958, 19970, 16734, 16647, 23759, 16673, 18545, 51763, 16671, 16647, 19546, 56114, 16604, 16393, 32518, 21269, 50586, 17847, 49384, 27479, 16456, 16393, 43699, 16741, 16641, 17815, 17717, 16673, 26570, 16671, 16647, 17333, 16453, 17604, 16642, 32174, 16673, 16647, 56114, 16397, 16582, 16582, 56609, 34118, 16872, 16992, 16917, 16673, 16647, 18166, 22189, 20078, 16709, 16647, 47229, 34778, 16674, 23530, 16709, 17490, 22890, 16673, 16647, 18827, 27713, 27913, 16395, 16674, 16872, 49221, 16641, 19680, 20610, 16673, 56639, 19923, 23777, 16395, 17789, 19971, 42907, 50647, 16671, 17301, 16396, 20524, 56634, 19122, 16395, 18187, 16396, 20524, 39534, 18496, 16674, 25315, 18241, 18134, 31018, 26659, 16674, 21958, 32830, 16604, 16443, 16442, 16442, 16415, 16417, 16402, 16405, 16444, 16395, 16442, 16415, 16417, 16402, 16406, 16444, 16443, 16444, 16397, 19641, 16768, 17333, 16453, 17604, 16642, 51012, 17502, 16672, 27713, 34118, 16763, 19074, 18546, 16604, 16404, 16399, 17202, 18469, 16604, 16443, 16442, 16442, 16415, 16417, 16402, 16407, 16444, 16443, 16444, 16395, 16674, 16647, 21057, 16673, 17142, 23674, 34118, 27319, 16767, 16647, 23152, 19171, 30095, 16763, 21270, 16809, 26037, 16661, 16647, 36310, 16673, 18514, 17333, 16453, 17604, 16642, 20286, 16604, 16443, 16442, 16442, 16415, 16417, 16402, 16408, 16444, 16443, 16444, 16397, 16772, 17889, 18814, 19277, 16809, 17333, 16453, 17604, 16642, 16672, 16647, 26709, 19208, 18199, 16811, 51012, 16675, 23273, 20349, 24141, 16715, 29213, 40769, 59468, 17415, 18070, 27319, 16397, 20195, 16742, 17556, 16709, 37727, 40605, 16673, 16641, 53193, 33790, 16895, 17333, 16453, 17604, 16642, 23273, 16672, 17333, 16396, 56609, 27319, 16395, 16674, 18288, 20318, 19591, 16715, 16647, 23777, 16673, 20010, 17333, 16453, 17604, 17407, 16815, 16641, 17334, 16723, 17080, 16666, 17333, 16453, 17604, 16642, 54451, 16397, 16582, 16582, 32271, 16582, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16582, 16582, 31304, 34118, 17333, 16453, 17604, 16642, 24507, 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, 23930, 17769, 16396, 20517, 27713, 34118, 16604, 16393, 16435, 16453, 16393, 16450, 53104, 17894, 16734, 17476, 16604, 16402, 16443, 16390, 20356, 16433, 20570, 16958, 21766, 16672, 16647, 33926, 20840, 16416, 23355, 16673, 16647, 39114, 33042, 34118, 19971, 16397, 16772, 17671, 19263, 22954, 16604, 16391, 18092, 16421, 16392, 16673, 16604, 16401, 16399, 16406, 16402, 21142, 61359, 16604, 16391, 22820, 16392, 16763, 29329, 16672, 16647, 17142, 16655, 53104, 17894, 16395, 16674, 16647, 16604, 16405, 16407, 16408, 34226, 32245, 16604, 16391, 20573, 16392, 16673, 16647, 28727, 34118, 16700, 16453, 16400, 16958, 28033, 16604, 16391, 23236, 16604, 16442, 16400, 16444, 16391, 16386, 16421, 16400, 16392, 16474, 18452, 16396, 18926, 16412, 16385, 19327, 16385, 16476, 16392, 16397, 16772, 24284, 16604, 16393, 16435, 16453, 16400, 16393, 50559, 17020, 20590, 16931, 16604, 16407, 16822, 16449, 16673, 49506, 17082, 16796, 16460, 16422, 16400, 16399, 16399, 16403, 16401, 16406, 17651, 16403, 16403, 16404, 16400, 16672, 16647, 21178, 35085, 16673, 27713, 34118, 26489, 16647, 42964, 37147, 19971, 16604, 16391, 23236, 16604, 16442, 16401, 16444, 16391, 16386, 16421, 16401, 16392, 16474, 18452, 16396, 18926, 16412, 16385, 19327, 16385, 16476, 16392, 16397, 17385, 16960, 16661, 16647, 16604, 16393, 16435, 16453, 16400, 16393, 18511, 24347, 16674, 63338, 29886, 22130, 16604, 16400, 16406, 16794, 17112, 22254, 16604, 16400, 16399, 16399, 16388, 23286, 22644, 16734, 16647, 16604, 16393, 16435, 16453, 16400, 16393, 16450, 36666, 16397, 16772, 20716, 17006, 32911, 16673, 34118, 16604, 16393, 16435, 16453, 16400, 16393, 44163, 16672, 16647, 17142, 42964, 27713, 27319, 16763, 20472, 16604, 16393, 16435, 16453, 16400, 16393, 16396, 29808, 16397, 16582, 16582, 16384, 16442, 16393, 16393, 41048, 34912, 16673, 34118, 16700, 16453, 16400, 16395, 16700, 16453, 16401, 16395, 34701, 16453, 16674, 16830, 23801, 16393, 16393, 16397, 42171, 21170, 16769, 22204, 16671, 41209, 16647, 34912, 16397, 19921, 24963, 16719, 17129, 44914, 16604, 16391, 31436, 16392, 16674, 44914, 16715, 26570, 23083, 16604, 16391, 60475, 16392, 16674, 64204, 16667, 16679, 16604, 16391, 28290, 16392, 16769, 24483, 16397, 24587, 17225, 21686, 43940, 16704, 19628, 16672, 16728, 16666, 17220, 16397, 16444, 16391, 16400, 16403, 16406, 16400, 16396, 16401, 16400, 16404, 16405, 16396, 16400, 16401, 16396, 16404, 16400, 16396, 16400, 16392, 16474, 16386, 16421, 16400, 16476, 16582, 16582, 16384, 16442, 16393, 16393, 24694, 24963, 19793, 17457, 16472, 17415, 22189, 16395, 26977, 16674, 18206, 17333, 16453, 17604, 16642, 16862, 16845, 16393, 16393, 16397, 16772, 17314, 42004, 24507, 16769, 20241, 16396, 64069, 16671, 55538, 16914, 60496, 16671, 16700, 16453, 16395, 16830, 18433, 16674, 34701, 16453, 16672, 22189, 16397, 50490, 49906, 22741, 16673, 16647, 26977, 16674, 18206, 24507, 16769, 24483, 16397, 16444, 16391, 16400, 16403, 16406, 16400, 16396, 16401, 16400, 16404, 16405, 16396, 16400, 16401, 16396, 16404, 16400, 16396, 16401, 16392, 16474, 16386, 16421, 16401, 16476, 16582, 16582, 16416, 17711, 17333, 16453, 17604, 16642, 23273, 28727, 34118, 16604, 16393, 16435, 16453, 16401, 16393, 24896, 17494, 16931, 16604, 16400, 16405, 16397, 16404, 16822, 16449, 41573, 16673, 16604, 16393, 16435, 16453, 16400, 16393, 16391, 23236, 16604, 16442, 16401, 16444, 16391, 16386, 16421, 16401, 16392, 16474, 18452, 16396, 18926, 16412, 16385, 19327, 16385, 16476, 16392, 16397, 16772, 16604, 16400, 16406, 16794, 17112, 16673, 16604, 16393, 16435, 16453, 16401, 16393, 39575, 21766, 16809, 29727, 16661, 16647, 53193, 33790, 16895, 16604, 16393, 16435, 16453, 16393, 18511, 16659, 16395, 16674, 16647, 28033, 16604, 16405, 16407, 16402, 16641, 16448, 16673, 16700, 16453, 16401, 21233, 16604, 16407, 16403, 16388, 22644, 16734, 34118, 16700, 16453 ]
[ 0, 38194, 16582, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16582, 16582, 28768, 24725, 54008, 34282, 16704, 16641, 18545, 17291, 53796, 37067, 20062, 23381, 16671, 19291, 16604, 16405, 16401, 16408, 18115, 20470, 16672, 16604, 16401, 16399, 16403, 16404, 18745, 16671, 16647, 19639, 43222, 30994, 16397, 16700, 16401, 33021, 16704, 16647, 21408, 39249, 17510, 16673, 26600, 16721, 22982, 16715, 16604, 16408, 16399, 16388, 16673, 28378, 19140, 16674, 16704, 19970, 16734, 32983, 23759, 16674, 25917, 24068, 41160, 16718, 43858, 16604, 16391, 16442, 16415, 16417, 16400, 16402, 16444, 16392, 16397, 21414, 21903, 19831, 19074, 16641, 20240, 26335, 16673, 19251, 50145, 34472, 22665, 16672, 46433, 18873, 16604, 16391, 16442, 16415, 16417, 16400, 16405, 16444, 16392, 16395, 27659, 16715, 16604, 16408, 16399, 16396, 16396, 16408, 16404, 16388, 16673, 16858, 26600, 19140, 16604, 16391, 16442, 16415, 16417, 16400, 16406, 16444, 16392, 16397, 16759, 28304, 16704, 16641, 18166, 19251, 50145, 34472, 57647, 16673, 26600, 16674, 16763, 17092, 20101, 16809, 16604, 16442, 16415, 16417, 16401, 16405, 16444, 16397, 24423, 57647, 16704, 35466, 20101, 16741, 16641, 17689, 16705, 16673, 19800, 21672, 16395, 27364, 37792, 16395, 16674, 20154, 42567, 19441, 16604, 16391, 16442, 16415, 16417, 16400, 16400, 16444, 16392, 16674, 16872, 22499, 17030, 16604, 16404, 16399, 16388, 16673, 46433, 18873, 16604, 16391, 16442, 16415, 16417, 16400, 16401, 16444, 16410, 16604, 16442, 16415, 16417, 16401, 16407, 16444, 16392, 16397, 16759, 28304, 18356, 16704, 24536, 17065, 17142, 33780, 16409, 16647, 53459, 21876, 16395, 16944, 25231, 16672, 16647, 18334, 21876, 16674, 16704, 29781, 16809, 16667, 16830, 20709, 16410, 16674, 16647, 54942, 17000, 16895, 21876, 16395, 16944, 25231, 16672, 16647, 19164, 21876, 16674, 16704, 29781, 16809, 16667, 16767, 23796, 42824, 16604, 16391, 16442, 16415, 16417, 16402, 16405, 16444, 16410, 16604, 16442, 16415, 16417, 16401, 16403, 16444, 16392, 16397, 16582, 16582, 16853, 63028, 16673, 16759, 28304, 16704, 46650, 16935, 21560, 16674, 28950, 16809, 16647, 28073, 16674, 25201, 34237, 17235, 16673, 16647, 42824, 16604, 16391, 16442, 16415, 16417, 16402, 16406, 16444, 16392, 16397, 16772, 42824, 28073, 62413, 16673, 16759, 28304, 16395, 17274, 16741, 16647, 19031, 16672, 42824, 21672, 16395, 18804, 16738, 46138, 16395, 16674, 24210, 25725, 19014, 16395, 16763, 21852, 16672, 20596, 16441, 16396, 31263, 46433, 25878, 16397, 24423, 62413, 17123, 16703, 16641, 19902, 55517, 16671, 19031, 16647, 38686, 21765, 16604, 16391, 16442, 16415, 16417, 16401, 16401, 16444, 16392, 16397, 16772, 17142, 18166, 22072, 16673, 42824, 16769, 38686, 22049, 16674, 38686, 35868, 16395, 16674, 16647, 16819, 43736, 20092, 50281, 16672, 16647, 16830, 20709, 16673, 16641, 46433, 26222, 28189, 16647, 38686, 22049, 19629, 16673, 16811, 17840, 16604, 16391, 16442, 16415, 16417, 16400, 16399, 16444, 16392, 16397, 18036, 35406, 50281, 16704, 23693, 48774, 16809, 17748, 21722, 28333, 16674, 57524, 21722, 28333, 33582, 16604, 16391, 16442, 16415, 16417, 16401, 16402, 16444, 16392, 16397, 16875, 18343, 16395, 42560, 16704, 16647, 17748, 21722, 28333, 50700, 19688, 16815, 22602, 48814, 17186, 16785, 49168, 16906, 31225, 59575, 16673, 35627, 16395, 16674, 16647, 19436, 16967, 24739, 48774, 16809, 42560, 17156, 16641, 18474, 18814, 16672, 16759, 28304, 16604, 16391, 16442, 16415, 16417, 16403, 16403, 16444, 16392, 16397, 16702, 19691, 28566, 17797, 16604, 16400, 16406, 19154, 16604, 16408, 16604, 16391, 16434, 21078, 16400, 16406, 16416, 16408, 16392, 16704, 16641, 19154, 16673, 16647, 17638, 17406, 16396, 22032, 21688, 22036, 17797, 16721, 21846, 16667, 55278, 18814, 16672, 16647, 48981, 28139, 22049, 16673, 42560, 16604, 16391, 16442, 16415, 16417, 16402, 16400, 16444, 16410, 16604, 16442, 16415, 16417, 16401, 16399, 16444, 16392, 16397, 16772, 17333, 27874, 16673, 24438, 21527, 55742, 16396, 37531, 48981, 19369, 16671, 16647, 22602, 16675, 17040, 27756, 16704, 16647, 17092, 18586, 16672, 16647, 19578, 16673, 48981, 28139, 24438, 21527, 18889, 17500, 16395, 20440, 16809, 16647, 37255, 16673, 48981, 19369, 16734, 16647, 29993, 16673, 16647, 22602, 16675, 17040, 27756, 16674, 16647, 24860, 16674, 22355, 19578, 16673, 16914, 28565, 17065, 16647, 19793, 52785, 17680, 17085, 16604, 16391, 16442, 16415, 16417, 16402, 16402, 16444, 16392, 16397, 16875, 18150, 16395, 16647, 22321, 16673, 48981, 19369, 16715, 25486, 16671, 16647, 22602, 16675, 17040, 29993, 16672, 16647, 19487, 16704, 23693, 19194, 16809, 16887, 50858, 43873, 16395, 20278, 16887, 50858, 31758, 16604, 16391, 16442, 16415, 16417, 16401, 16444, 16392, 16397, 30419, 19831, 17494, 16721, 16647, 17748, 21722, 28333, 57659, 24438, 21527, 19693, 16763, 39859, 16672, 16887, 50858, 31758, 16396, 18280, 28530, 25878, 16604, 16391, 16442, 16415, 16417, 16405, 16444, 16392, 16397, 24423, 21311, 22738, 16721, 16887, 50858, 31758, 19277, 16667, 17889, 18814, 16672, 17748, 21722, 28333, 24438, 21527, 19693, 16604, 16391, 16442, 16415, 16417, 16402, 16444, 16392, 16397, 16582, 16582, 28768, 39462, 42824, 36002, 16395, 20278, 16830, 20709, 16395, 16704, 16804, 17417, 32059, 16671, 23304, 16397, 18523, 16395, 16811, 36002, 22993, 28189, 16647, 18950, 16673, 16647, 17417, 16673, 18873, 16604, 16391, 16442, 16415, 16417, 16401, 16403, 16444, 16392, 16397, 16772, 19165, 20625, 16715, 16759, 28304, 20152, 17014, 16647, 21876, 51770, 16397, 22391, 16863, 16723, 21722, 28333, 22163, 16395, 17274, 16741, 16671, 16459, 16737, 16745, 16856, 16674, 17638, 52727, 59283, 16395, 16769, 16647, 17736, 19165, 19943, 16715, 16759, 28304, 18873, 16734, 16830, 20709, 16397, 18523, 16395, 17259, 18194, 19938, 16395, 17789, 22269, 22418, 16395, 22269, 19464, 16395, 16674, 20693, 19260, 16395, 25231, 17135, 16647, 19165, 16734, 18241, 16863, 16723, 21722, 28333, 22163, 16395, 20781, 38021, 20154, 17417, 18950, 16715, 16647, 18873, 16397, 16875, 16647, 19164, 21876, 16395, 29859, 26536, 16763, 16647, 17097, 31624, 18197, 16715, 18873, 16929, 17132, 16804, 20763, 16815, 32344, 18918, 16674, 34524, 27204, 16604, 16391, 16442, 16415, 16417, 16403, 16404, 16444, 16392, 16397, 18523, 16395, 32344, 18918, 16674, 29859, 32858, 16958, 23971, 46918, 16672, 37790, 16604, 16391, 16442, 16415, 16417, 16400, 16401, 16444, 16410, 16604, 16442, 16415, 16417, 16403, 16399, 16444, 16392, 16397, 23466, 16395, 17009, 20176, 27204, 16715, 16759, 28304, 16769, 58430, 18964, 16397, 16582, 16582, 17071, 16647, 19165, 16673, 46433, 16830, 20709, 16395, 20839, 20917, 24139, 16674, 19588, 20282, 22539, 16807, 19193, 30199, 20209, 19761, 18443, 16671, 16914, 19997, 31541, 16395, 17589, 18194, 19938, 16395, 16674, 21748, 19962, 16604, 16391, 16442, 16415, 16417, 16403, 16400, 16444, 16392, 16397, 16702, 16432, 16438, 16704, 16641, 20839, 20917, 48796, 24790, 16721, 16763, 17092, 22322, 16709, 16604, 16393, 52899, 25283, 23888, 16990, 61416, 16393, 16672, 16647, 24310, 26686, 57298, 16604, 16391, 39130, 16604, 16400, 16400, 16401, 16406, 16674, 16604, 16400, 16401, 16406, 16408, 35028, 16392, 16397, 17170, 24139, 16704, 16641, 28262, 16673, 17567, 20917, 37192, 16409, 16604, 16393, 40141, 16673, 16790, 22119, 16448, 28432, 17180, 16604, 16391, 23586, 16466, 16392, 65121, 17166, 16397, 16604, 16391, 45089, 45348, 16392, 16395, 27260, 16673, 37870, 56109, 63276, 26115, 20534, 31660, 16464, 16397, 16395, 16604, 16391, 16441, 16661, 19842, 45348, 16392, 16395, 16674, 33431, 16886, 28470, 16673, 16759, 20170, 22887, 16448, 17773, 23311, 16736, 36298, 16790, 16397, 16604, 16391, 16419, 20170, 22887, 45348, 16392, 16393, 16767, 16641, 16604, 16400, 16409, 16400, 16409, 16400, 21844, 16604, 16391, 16442, 16415, 16417, 16400, 16403, 16444, 16392, 16397, 16702, 16432, 16438, 16872, 16992, 17405, 16671, 18233, 19251, 50145, 34472, 22665, 16395, 17274, 16741, 17028, 16694, 48484, 16395, 45483, 16395, 16674, 17486, 19741, 16470, 55833, 16715, 23084, 16673, 17202, 16604, 16391, 16442, 16415, 16417, 16403, 16444, 16392, 16397, 17119, 16807, 19193, 19074, 16721, 16702, 16432, 16438, 16955, 31624, 19938, 16709, 16647, 16830, 20709, 16673, 42824, 34989, 49604, 19936, 20609, 16809, 17374, 24329, 16647, 25650, 56301, 16400, 20825, 16604, 16391, 16442, 16415, 16417, 16400, 16407, 16444, 16392, 16397, 16875, 19391, 16395, 16702, 16432, 16438, 16704, 18143, 17405, 16672, 16647, 21903, 19165, 16673, 46433, 16830, 20709, 16397, 18523, 16395, 17073, 25013, 21002, 31797, 16395, 16674, 17073, 31624, 17717, 16872, 16804, 16992, 28020, 16672, 22270, 19831, 16397, 23466, 16395, 16742, 20087, 25717, 16671, 22597, 16647, 19938, 16674, 31624, 27287, 16673, 16702, 16432, 16438, 16672, 46433, 16830, 20709, 27029, 18528, 16397, 16582, 16582, 65433, 16674, 33486, 16604, 16474, 16386, 16466, 16400, 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, 17506, 16750, 16988, 16674, 35703, 16582, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16582, 16582, 27575, 16462, 18917, 16657, 51498, 16763, 24469, 16815, 24149, 16657, 49286, 37910, 18035, 16397, 16395, 24574, 16397, 16604, 16391, 30173, 16392, 16395, 16674, 16647, 18950, 18123, 16763, 19194, 16809, 16647, 17766, 18138, 16709, 20917, 52007, 17636, 16915, 41315, 16809, 17362, 18980, 23764, 58270, 16604, 16391, 26689, 21078, 16392, 19000, 16815, 16702, 16432, 16438, 23375, 16604, 16391, 16442, 16415, 16417, 16408, 16444, 16392, 16397, 24586, 20917, 39123, 17229, 16958, 19453, 16674, 23590, 48298, 16767, 16641, 16604, 16400, 16409, 16400, 16409, 16400, 21844, 16674, 21286, 30788, 16673, 62958, 17969, 16958, 17405, 16671, 17190, 17213, 21152, 27888, 16671, 16702, 16432, 16438, 28758, 16397, 16772, 33174, 16958, 24934, 18745, 16671, 16647, 49114, 24082, 17595, 16673, 52007, 17595, 16395, 18138, 16709, 21903, 26742, 16395, 16647, 46792, 18197, 16604, 16391, 16442, 16415, 16417, 16402, 16408, 16444, 16392, 16397, 16702, 16432, 16438, 16751, 16763, 16604, 16401, 16397, 16401, 16399, 16407, 16695, 16398, 27114, 16395, 16702, 16432, 16438, 16727, 16763, 16604, 16400, 16397, 16400, 16399, 16403, 16695, 16398, 27114, 16395, 16674, 16702, 16432, 16438, 16790, 16763, 16604, 16399, 16397, 16404, 16404, 16401, 16695, 16398, 27114, 16397, 16772, 16671, 16459, 16737, 16745, 16856, 26043, 16715, 16647, 19508, 17585, 16763, 16604, 16399, 16397, 16407, 16401, 26785, 16398, 27114, 16397, 16582, 16582, 17287, 16644, 16849, 23616, 16701, 17139, 16642, 16763, 24469, 16815, 22734, 16426, 16436, 16396, 16420, 18035, 16397, 16395, 24574, 16397, 16604, 16391, 35025, 16392, 16397, 16751, 28903, 16604, 16391, 16403, 16404, 16388, 20728, 16392, 16674, 18123, 22888, 16958, 24469, 16815, 52499, 59668, 22552, 34791, 32267, 19371, 16604, 16391, 30173, 16392, 16397, 37401, 16737, 16745, 16856, 16763, 24469, 16815, 53837, 16978, 16759, 17442, 16990, 37910, 18035, 16397, 16395, 24574, 16397, 16604, 16391, 30173, 16392, 16397, 58093, 24566, 16738, 16454, 33691, 16763, 24469, 16815, 37259, 23474, 16396, 22579, 58093, 19376, 16397, 16604, 16391, 26786, 30622, 16392, 16395, 16674, 17378, 31386, 16723, 16763, 21715, 16815, 17485, 16770, 16882, 16738, 23823, 16717, 16604, 16389, 49350, 25423, 16448, 37910, 18035, 16397, 16395, 24574, 16397, 16604, 16391, 30173, 16392, 16397, 26529, 16395, 28580, 16396, 39101, 17416, 42560, 16763, 24469, 16815, 16700, 17139, 18703, 29167, 16396, 33347, 17022, 24574, 16397, 16604, 16391, 32384, 24687, 16392, 16397, 31376, 44751, 31690, 29699, 16604, 16391, 20110, 16695, 36666, 16710, 16392, 16674, 45573, 22565, 41070, 20245, 47691, 16604, 16391, 39118, 26062, 20779, 16392, 16958, 24469, 16815, 47448, 32380, 18144, 22437, 45334, 16604, 16391, 19089, 29560, 16392, 18035, 16397, 16395, 24574, 16397, 16604, 16391, 30173, 16392, 16397, 58665, 16473, 16723, 16691, 35113, 16763, 24469, 16815, 36808, 22019, 32506, 35299, 16604, 16391, 32384, 18644, 16392, 16397, 53922, 16416, 16685, 18720, 27671, 16674, 18003, 16954, 40582, 42938, 16604, 16391, 16400, 16399, 16399, 30070, 16392, 16958, 21715, 16815, 18035, 34520, 46792, 49545, 16604, 16391, 30173, 16392, 16397, 17958, 16977, 54935, 16988, 17405, 16958, 16673, 36611, 23724, 16397, 16582, 16582, 60155, 16725, 16674, 29850, 21078, 44516, 16673, 16702, 16432, 16438, 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, 27575, 16462, 18917, 16657, 51498, 23375, 16958, 42233, 16604, 16399, 16397, 16402, 16695, 16674, 35265, 16734, 16604, 16401, 16404, 42346, 16673, 63718, 16396, 35521, 41434, 16675, 22363, 20075, 17655, 30259, 17627, 39194, 18197, 16674, 17177, 19711, 16647, 20075, 16397, 24229, 16395, 16647, 20075, 16763, 42873, 17181, 16604, 16399, 16397, 16403, 16404, 44640, 16686, 35181, 46850, 17329, 31289, 16397, 16582, 16582, 22223, 16671, 16647, 20917, 32344, 16754, 19171, 16915, 16604, 16401, 16399, 16400, 16404, 16395, 16647, 19014, 16673, 21575, 16656, 17080, 17082, 16856, 17208, 16703, 16922, 17032, 16604, 16399, 16397, 16403, 26785, 16398, 16399, 16397, 16402, 16695, 16395, 16674, 16647, 19014, 16673, 16858, 30817, 16642, 16704, 16922, 17032, 16604, 16399, 16397, 16403, 16407, 26785, 16398, 16399, 16397, 16402, 16695, 16397, 16772, 29850, 21078, 19527, 16674, 39429, 17448, 17397, 16958, 19628, 16741, 16604, 16442, 62202, 16604, 16400, 16444, 16391, 16386, 16435, 16400, 16392, 16474, 18452, 16396, 18926, 16412, 16385, 22246, 16385, 16476, 16395, 16604, 16442, 16401, 16444, 16391, 16386, 16435, 16401, 16392, 16474, 18452, 16396, 18926, 16412, 16385, 22246, 16385, 16476, 16397, 16582, 16582, 16386, 16386, 16386, 16386, 16386, 16386, 16604, 16582, 16582, 17822, 16787, 16649, 23040, 20249, 16715, 21575, 16656, 17080, 17082, 16856, 16397, 16582, 16582, 16650, 26856, 16696, 16650, 16719, 16400, 16407, 16604, 16391, 16401, 16404, 21896, 16418, 16392, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16582, 16650, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396 ]
[ 0, 38194, 16604, 16474, 16386, 16467, 20038, 16400, 16402, 16399, 16403, 16403, 16396, 19810, 16396, 16399, 16399, 16399, 16400, 16476, 16582, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16582, 16582, 16429, 16821, 16723, 50574, 16395, 16641, 23942, 27175, 16400, 34567, 16395, 16704, 16667, 26709, 54972, 40582, 16604, 16391, 18359, 16424, 16392, 16721, 16872, 16992, 25736, 16671, 16703, 20432, 16672, 18873, 16734, 18295, 17476, 27242, 20286, 16397, 16793, 16821, 16723, 50574, 16872, 16992, 19628, 16671, 16807, 16667, 20562, 19208, 18960, 16604, 16391, 18092, 16433, 16392, 16673, 22051, 16604, 16401, 16399, 16388, 16672, 18873, 16734, 21216, 22140, 17975, 27175, 29702, 18155, 28568, 20053, 16604, 16391, 16429, 21066, 21078, 16392, 16397, 16442, 16400, 16444, 16391, 16386, 16467, 20038, 16400, 16402, 16399, 16403, 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, 16467, 20038, 16400, 16402, 16399, 16403, 16403, 16396, 54690, 16396, 16399, 16399, 16399, 16401, 16392, 16474, 18452, 16396, 18926, 16412, 16385, 18452, 16385, 16476, 18523, 16395, 16686, 16821, 16723, 50574, 16704, 16804, 20176, 16672, 16922, 17032, 16604, 16403, 16399, 16388, 16673, 62501, 21078, 18873, 16929, 18019, 20062, 31462, 16395, 21051, 16686, 16821, 16723, 50574, 19165, 16397, 17999, 19077, 16647, 34792, 16673, 16811, 29334, 24813, 30271, 16395, 19642, 64199, 17274, 16741, 39031, 16395, 18766, 50071, 16604, 16391, 31729, 16392, 16395, 16785, 16977, 27934, 19068, 17123, 17027, 16703, 32533, 16671, 18873, 16672, 21445, 27934, 19068, 16807, 16804, 16992, 19765, 20176, 16397, 42566, 16395, 31690, 28356, 17099, 16641, 37413, 26709, 19208, 16674, 22556, 16647, 19578, 16673, 27242, 27175, 21670, 51211, 17000, 16397, 16442, 16402, 16444, 16391, 16386, 16467, 20038, 16400, 16402, 16399, 16403, 16403, 16396, 54690, 16396, 16399, 16399, 16399, 16402, 16392, 16474, 18452, 16396, 18926, 16412, 16385, 18452, 16385, 16476, 39098, 17036, 51157, 19831, 16807, 25402, 16641, 51672, 18815, 27242, 19208, 16734, 31690, 16674, 16647, 57042, 16673, 23942, 27175, 16400, 16397, 16442, 16403, 16444, 16391, 16386, 16467, 20038, 16400, 16402, 16399, 16403, 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, 16467, 20038, 16400, 16402, 16399, 16403, 16403, 16396, 54690, 16396, 16399, 16399, 16399, 16404, 16392, 16474, 18452, 16396, 18926, 16412, 16385, 18452, 16385, 16476, 16395, 16604, 16442, 16405, 16444, 16391, 16386, 16467, 20038, 16400, 16402, 16399, 16403, 16403, 16396, 54690, 16396, 16399, 16399, 16399, 16405, 16392, 16474, 18452, 16396, 18926, 16412, 16385, 18452, 16385, 16476, 16999, 16704, 18230, 16721, 27242, 27175, 27044, 37415, 16704, 29983, 16809, 26993, 16397, 21604, 31690, 21846, 16667, 17889, 18814, 16672, 16647, 18070, 18123, 16674, 40598, 16673, 35442, 16395, 16728, 17027, 36903, 16671, 16647, 36942, 16673, 44909, 44822, 26709, 24739, 16395, 16674, 16647, 24813, 16786, 18281, 22972, 16674, 24813, 16837, 16706, 34236, 19938, 16673, 31690, 16397, 16442, 16405, 16444, 16391, 16386, 16467, 20038, 16400, 16402, 16399, 16403, 16403, 16396, 54690, 16396, 16399, 16399, 16399, 16405, 16392, 16474, 18452, 16396, 18926, 16412, 16385, 18452, 16385, 16476, 63349, 27175, 31263, 18155, 18554, 22556, 16641, 19578, 16673, 20904, 25870, 17274, 16741, 42371, 22588, 16400, 16395, 42560, 16395, 16674, 16751, 20961, 16406, 16399, 16395, 16674, 16647, 57593, 56794, 19487, 16843, 42017, 33331, 21305, 16407, 16700, 19487, 16674, 27242, 27175, 27044, 16700, 19487, 16397, 16442, 16405, 16444, 16391, 16386, 16467, 20038, 16400, 16402, 16399, 16403, 16403, 16396, 54690, 16396, 16399, 16399, 16399, 16405, 16392, 16474, 18452, 16396, 18926, 16412, 16385, 18452, 16385, 16476, 16875, 18150, 16671, 26709, 29304, 16395, 31690, 50395, 41261, 19134, 21348, 27175, 28580, 16604, 16391, 16435, 29874, 27175, 28580, 16392, 16395, 16667, 24813, 16786, 18281, 22972, 64248, 16397, 17999, 21033, 16647, 24813, 16786, 18281, 22972, 22072, 16395, 16641, 22332, 16673, 31690, 16674, 64050, 27175, 28580, 41338, 16872, 16992, 21766, 16741, 16641, 24141, 20328, 16672, 17036, 51157, 24157, 16397, 16442, 16405, 16444, 16391, 16386, 16467, 20038, 16400, 16402, 16399, 16403, 16403, 16396, 54690, 16396, 16399, 16399, 16399, 16405, 16392, 16474, 18452, 16396, 18926, 16412, 16385, 18452, 16385, 16476, 16711, 18961, 26182, 18077, 25402, 16721, 28697, 16895, 31690, 23361, 23942, 27175, 16427, 16400, 20293, 20825, 16709, 27242, 19487, 16395, 27742, 16641, 18474, 47997, 16715, 16647, 22332, 16673, 31690, 16734, 27934, 19068, 16397, 16442, 16406, 16444, 16391, 16386, 16467, 20038, 16400, 16402, 16399, 16403, 16403, 16396, 54690, 16396, 16399, 16399, 16399, 16406, 16392, 16474, 18452, 16396, 18926, 16412, 16385, 18452, 16385, 16476, 16582, 16582, 20088, 16647, 16604, 16408, 16407, 18873, 22958, 16672, 16647, 53041, 51943, 27175, 16399, 16399, 16400, 21876, 16687, 21459, 16395, 17485, 27529, 16451, 17060, 16604, 16393, 16688, 16813, 16397, 16393, 19074, 16721, 16647, 27329, 16673, 31462, 27175, 22068, 25341, 16604, 16391, 16431, 26278, 16392, 16734, 16664, 35364, 17741, 16886, 50574, 16763, 21777, 19287, 16672, 18873, 21216, 32533, 31690, 17032, 16672, 17310, 16804, 22140, 16734, 31690, 16397, 16442, 16407, 16444, 16391, 16386, 16467, 20038, 16400, 16402, 16399, 16403, 16403, 16396, 54690, 16396, 16399, 16399, 16399, 16407, 16392, 16474, 18452, 16396, 18926, 16412, 16385, 18452, 16385, 16476, 16773, 17865, 19136, 16604, 16393, 16688, 16813, 16397, 16393, 17027, 19074, 16721, 16686, 16821, 16723, 50574, 19165, 17135, 21830, 17663, 25027, 16895, 31690, 22818, 16647, 24637, 16672, 16604, 16402, 16404, 18873, 16734, 18225, 50288, 16785, 57722, 62501, 21078, 16397, 16442, 16408, 16444, 16391, 16386, 16467, 20038, 16400, 16402, 16399, 16403, 16403, 16396, 54690, 16396, 16399, 16399, 16399, 16408, 16392, 16474, 18452, 16396, 18926, 16412, 16385, 18452, 16385, 16476, 18708, 18466, 18510, 16721, 18722, 31690, 48317, 35404, 27242, 19208, 16674, 26709, 22570, 16671, 27934, 19068, 16395, 17274, 16741, 16686, 16821, 16723, 50574, 16785, 16664, 35364, 17741, 16886, 50574, 16397, 18523, 16395, 16647, 51672, 18815, 17717, 16673, 27934, 19068, 16674, 18722, 31690, 16763, 16804, 20519, 55403, 16895, 16672, 17213, 19831, 16397, 17376, 16647, 19022, 18077, 16763, 16641, 21876, 16687, 21459, 16395, 16664, 35364, 17741, 16886, 50574, 16763, 32533, 16767, 17476, 33174, 16674, 19165, 47600, 16397, 16442, 16407, 16444, 16391, 16386, 16467, 20038, 16400, 16402, 16399, 16403, 16403, 16396, 54690, 16396, 16399, 16399, 16399, 16407, 16392, 16474, 18452, 16396, 18926, 16412, 16385, 18452, 16385, 16476, 16772, 24002, 18077, 16763, 20236, 16809, 16641, 17785, 22281, 16673, 17097, 16604, 16402, 16404, 18873, 16397, 16442, 16408, 16444, 16391, 16386, 16467, 20038, 16400, 16402, 16399, 16403, 16403, 16396, 54690, 16396, 16399, 16399, 16399, 16408, 16392, 16474, 18452, 16396, 18926, 16412, 16385, 18452, 16385, 16476, 26869, 16673, 17213, 19831, 18937, 16721, 24813, 30271, 17135, 18722, 31690, 34470, 16466, 25341, 16410, 16442, 16407, 16444, 16391, 16386, 16467, 20038, 16400, 16402, 16399, 16403, 16403, 16396, 54690, 16396, 16399, 16399, 16399, 16407, 16392, 16474, 18452, 16396, 18926, 16412, 16385, 18452, 16385, 16476, 16395, 16604, 16442, 16408, 16444, 16391, 16386, 16467, 20038, 16400, 16402, 16399, 16403, 16403, 16396, 54690, 16396, 16399, 16399, 16399, 16408, 16392, 16474, 18452, 16396, 18926, 16412, 16385, 18452, 16385, 16476, 18919, 16395, 23827, 16647, 24580, 44215, 16673, 27934, 19068, 17135, 18722, 31690, 21575, 16647, 27319, 16721, 17699, 20763, 16815, 27934, 16424, 19165, 16958, 19618, 16397, 24161, 23435, 21903, 17586, 16673, 16647, 17717, 16673, 27934, 16424, 21419, 17135, 18722, 31690, 16872, 16992, 19074, 16410, 20821, 16395, 16742, 27482, 16671, 55403, 16758, 16647, 19056, 51672, 18815, 44909, 44822, 17717, 16673, 16686, 16821, 16723, 50574, 17135, 31690, 16672, 18873, 16734, 21216, 22140, 62501, 21078, 16397, 16582, 16582, 41751, 16604, 16474, 16386, 16467, 20038, 16400, 16402, 16399, 16403, 16403, 16396, 19810, 16396, 16399, 16399, 16399, 16401, 16476, 16582, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16582, 16582, 55870, 38085, 16674, 17586, 20555, 16604, 16474, 16386, 16467, 20038, 16400, 16402, 16399, 16403, 16403, 16396, 19810, 16396, 16399, 16399, 16399, 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, 16582, 16582, 16853, 38085, 25145, 16715, 17038, 48693, 19335, 16958, 16409, 17884, 31030, 16785, 40479, 31030, 25736, 22656, 62501, 21078, 16734, 20041, 23991, 16785, 25833, 20062, 16785, 50271, 17135, 29859, 17857, 16839, 16410, 18702, 16604, 16443, 16413, 16604, 16401, 16399, 20464, 35518, 16410, 18873, 16734, 20062, 31462, 17135, 16767, 17965, 16917, 19421, 59555, 43542, 39031, 22140, 16734, 16686, 16821, 16723, 50574, 16410, 16604, 16393, 24902, 24829, 16393, 37394, 27175, 37230, 18873, 32533, 49675, 24829, 27175, 17098, 65273, 43441, 41338, 19421, 16671, 16998, 59555, 43542, 39031, 16410, 16674, 18873, 16734, 18125, 24580, 16433, 17586, 16673, 16686, 16821, 16723, 50574, 18745, 16671, 33160, 42185, 61880, 16672, 38947, 16700, 16768, 17035, 16604, 16391, 56439, 24460, 16392, 19288, 16604, 16400, 16397, 16400, 16397, 35275, 16958, 33553, 16980, 16873, 16955, 16409, 16641, 16752, 17070, 41407, 19348, 24202, 16395, 17274, 16741, 58385, 60430, 16839, 16672, 16647, 18722, 17567, 18355, 16410, 16819, 35988, 16667, 39162, 16664, 24789, 16656, 16395, 18544, 22155, 16395, 16819, 35988, 26600, 54008, 34282, 16395, 16819, 35988, 42814, 16395, 17361, 18681, 17002, 44999, 16395, 16785, 28568, 20062, 16410, 16667, 24493, 16785, 16977, 20062, 30320, 16879, 30150, 39031, 16410, 16785, 16958, 26485, 16785, 50829, 16397, 17170, 18077, 16763, 22782, 16809, 16647, 27533, 31664, 23140, 16673, 16647, 16702, 17905, 18256, 22552, 18059, 19639, 22552, 19371, 16397, 16582, 16582, 64259, 16674, 34792, 25416, 16604, 16474, 16386, 16467, 20038, 16400, 16402, 16399, 16403, 16403, 16396, 19810, 16396, 16399, 16399, 16399, 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, 16396, 16396, 16582, 16582, 16429, 16821, 16723, 50574, 16763, 30300, 17281, 19879, 32533, 16767, 16604, 16402, 26785, 16398, 27114, 17155, 17142, 19105, 16397, 16711, 18293, 19546, 18155, 17410, 16395, 33868, 17410, 16395, 24941, 30119, 27615, 16395, 19902, 27560, 16395, 16674, 41712, 23405, 16958, 20888, 16709, 16641, 26226, 20445, 16397, 19915, 17406, 41712, 16763, 55218, 18745, 16671, 25614, 26909, 57359, 61880, 16715, 17721, 19665, 30266, 16604, 16391, 20091, 22153, 16420, 16392, 19288, 16604, 16403, 16397, 16399, 16397, 16772, 27242, 19208, 16763, 29054, 18745, 16671, 42200, 24460, 19288, 16604, 16400, 16397, 16400, 16397, 16442, 16400, 16399, 16444, 16391, 16386, 16467, 20038, 16400, 16402, 16399, 16403, 16403, 16396, 54690, 16396, 16399, 16399, 16400, 16399, 16392, 16474, 18452, 16396, 18926, 16412, 16385, 18452, 16385, 16476, 16582, 16582, 27765, 35292, 19335, 16604, 16474, 16386, 16467, 20038, 16400, 16402, 16399, 16403, 16403, 16396, 19810, 16396, 16399, 16399, 16399, 16404, 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, 16431, 16393, 16604, 16443, 16411, 16604, 16399, 16397, 16399, 16404, 24483, 29311, 28043, 16397, 32506, 16443, 16390, 16466, 19168, 22076, 16958, 22546, 16671, 27768, 16647, 24426, 17415, 16647, 20750, 27073, 25625, 16397, 16772, 55353, 16396, 16396, 20237, 17478, 18197, 16763, 17405, 16671, 25018, 25341, 16741, 16641, 17917, 16673, 17005, 16395, 16674, 25341, 22383, 16958, 28060, 16809, 19990, 27175, 31381, 22076, 16397, 16739, 26278, 16763, 21365, 16741, 16647, 17005, 16815, 16647, 44003, 16673, 16686, 16821, 16723, 50574, 22595, 16671, 27242, 50271, 16785, 18554, 16815, 16998, 19225, 16395, 17437, 20562, 25341, 16604, 16391, 19445, 16392, 16763, 21365, 16741, 16647, 17005, 16815, 16647, 44003, 16673, 16686, 16821, 16723, 50574, 22595, 16671, 18554, 16815, 16998, 19225, 16397, 47841, 28830, 16958, 20888, 17655, 37927, 43479, 18312, 17502, 16604, 16403, 16674, 16832, 23801, 16604, 16407, 16397, 16399, 16397, 16582, 16582, 32271, 16604, 16474, 16386, 16467, 20038, 16400, 16402, 16399, 16403, 16403, 16396, 19810, 16396, 16399, 16399, 16399, 16405, 16476, 16582, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16582, 16582, 55870, 50182, 16604, 16474, 16386, 16467, 20038, 16400, 16402, 16399, 16403, 16403, 16396, 19810, 16396, 16399, 16399, 16399, 16406, 16476, 16582, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16582, 16582, 20404, 19557, 16604, 16401, 16399, 16400, 16405, 16671, 19293, 16604, 16401, 16399, 16400, 16406, 16395, 16604, 16400, 16404, 16401, 18873, 16734, 18225, 50288, 62501, 21078, 16958, 32533, 16686, 16821, 16723, 50574, 16397, 40576, 27175, 44302, 18873, 16958, 33553, 17172, 16673, 39517, 19428, 17624, 16785, 16647, 25739, 16673, 16667, 20435, 23067, 18821, 53347, 16397, 23121, 16395, 16641, 18804, 16673, 16604, 16400, 16401, 16403, 18873, 16604, 16391, 16393, 16461, 16393, 16604, 16477, 16460, 18221, 16477, 20464, 16412, 20464, 16408, 16402, 16395, 16604, 16393, 16461, 16393, 16604, 16477, 40746, 18221, 16477, 20464, 16412, 20464, 16402, 16400, 16410, 30548, 18702, 16409, 16604, 16405, 16408, 20464, 35518, 16410, 18898, 16409, 16604, 16402, 16400, 16396, 16396, 16407, 16404, 20464, 35518, 16392, 16958, 25983, 16715, 19335, 16397, 38654, 24319, 16769, 22682, 16672, 23984, 16604, 16442, 16400, 16444, 16391, 16386, 16467, 20038, 16400, 16402, 16399, 16403, 16403 ]
[ 0, 16400, 16403, 16401, 16773, 16397, 16402, 16451, 16604, 16400, 16408, 16403, 16582, 16400, 16408, 16408, 16407, 28728, 16465, 16397, 16427, 16397, 27149, 16397, 16739, 16604, 16401, 16406, 16395, 16406, 16405, 16404, 16395, 16604, 16403, 16405, 16876, 16397, 16434, 16397, 16431, 16397, 16432, 16397, 16401, 16451, 16604, 16400, 16404, 16401, 16400, 16582, 22638, 25588, 19888, 20321, 18013, 16395, 30672, 16658, 29937, 36920, 16673, 16647, 16420, 20258, 16673, 17853, 16457, 33453, 16908, 19983, 16657, 37134, 34418, 16738, 18310, 16642, 16410, 47164, 21945, 16395, 41796, 26428, 16396, 20323, 17182, 17575, 16395, 16469, 16397, 26455, 26069, 57877, 22809, 51082, 16424, 19093, 16440, 16395, 46101, 16397, 16395, 56176, 16396, 20323, 22126, 16452, 16397, 16582, 19084, 16397, 16604, 16408, 16406, 16396, 16400, 16402, 16402, 16408, 16397, 16582, 32384, 18644, 19758, 16673, 39967, 16395, 64888, 32638, 16397, 16582, 26967, 18268, 18415, 16397, 16604, 16402, 16399, 16395, 16604, 16400, 16408, 16408, 16407, 16397, 27149, 18789, 18932, 16604, 16401, 16402, 16395, 16604, 16400, 16408, 16408, 16407, 16397, 16582, 16582, 16400, 16582, 18016, 39719, 18525, 16409, 16650, 16425, 16397, 59695, 16908, 39195, 16395, 57001, 16395, 28955, 16604, 16389, 24119, 16395, 61113, 23621, 16395, 27251, 16410, 16650, 25368, 19173, 16790, 16397, 27332, 16395, 27332, 16395, 16759, 21673, 16395, 16759, 32752, 18030, 16395, 28059, 16457, 21563, 16604, 16389, 21163, 17639, 17050, 16395, 16739, 16397, 16416, 16397, 16395, 33762, 16395, 27251, 16395, 16715, 59167, 17575, 16397, 16650, 35697, 16711, 16397, 45842, 16395, 16702, 16976, 17976, 16604, 16389, 49512, 16395, 16739, 16397, 16416, 16397, 16395, 26396, 16395, 25322, 16395, 16715, 18501, 22126, 16452, 16397, 16650, 17759, 16738, 22777, 39685, 16409, 16650, 32716, 16830, 16397, 21265, 30710, 23481, 16395, 30636, 16395, 37729, 17407, 16395, 41940, 16604, 16389, 35405, 33401, 16395, 16790, 16397, 16427, 16397, 16431, 16397, 16395, 26396, 16395, 25322, 16395, 16715, 18501, 22126, 16452, 16397, 16582, 16582, 16582, 16401, 16582, 25379, 37784, 16424, 47905, 16674, 52551, 23328, 20308, 16395, 32638, 56515, 16395, 16674, 16908, 18629, 17528, 16395, 26477, 18303, 18644, 21599, 27735, 16715, 16647, 21994, 21599, 16673, 23293, 16395, 22096, 16809, 41558, 16397, 16582, 16582, 16582, 16402, 16582, 43470, 21782, 16809, 19807, 20834, 16397, 16650, 43328, 27735, 16908, 18629, 17528, 19792, 16647, 20834, 16395, 16672, 16944, 27735, 37784, 16424, 47905, 16674, 27735, 52551, 23328, 20308, 21927, 16397, 16582, 16582, 19989, 17681, 19429, 16582, 16426, 18629, 17528, 16395, 26477, 21599, 27735, 16409, 16582, 16582, 16403, 16582, 21742, 16397, 46975, 16738, 18310, 16642, 16604, 16391, 16417, 18310, 16642, 16392, 16704, 16647, 18741, 25923, 16673, 16647, 22510, 16673, 16888, 19164, 19778, 16395, 24356, 16397, 17853, 16457, 33453, 16908, 19983, 16657, 37134, 34418, 16738, 18310, 16642, 16604, 16391, 41907, 34418, 16392, 16397, 16650, 17071, 18432, 16687, 16673, 16647, 22872, 18235, 18158, 32566, 19621, 16395, 16738, 18310, 16642, 16674, 16647, 18059, 16673, 21000, 21945, 16604, 16391, 64063, 16392, 16604, 16391, 50928, 18365, 16741, 16647, 18059, 16673, 21000, 23138, 51667, 23813, 16392, 22417, 16671, 25630, 16815, 16772, 17227, 17505, 16708, 22016, 16395, 19376, 16397, 16650, 16391, 18621, 17505, 16708, 16392, 19902, 27669, 16673, 18244, 22593, 16944, 39151, 17575, 26233, 16769, 23117, 16673, 16647, 37134, 34418, 22510, 16397, 16650, 17071, 18432, 20448, 16395, 16647, 21945, 29196, 31313, 16674, 19096, 29845, 16802, 24485, 16715, 17227, 17505, 16708, 16390, 16466, 23215, 29157, 16673, 16395, 16674, 23215, 27247, 16671, 19072, 43943, 16395, 17073, 28238, 16397, 16400, 16582, 16582, 16582, 16404, 16582, 43328, 27735, 32319, 19530, 16811, 17843, 17714, 16641, 28413, 16709, 19118, 16604, 16404, 16674, 16604, 16405, 16395, 16604, 16400, 16408, 16408, 16400, 16397, 16650, 20068, 16647, 21459, 16395, 17498, 16396, 63633, 21695, 16466, 16395, 16674, 25763, 24686, 16395, 16647, 19251, 19124, 16395, 16709, 19191, 16604, 16400, 16395, 16604, 16400, 16408, 16408, 16401, 16395, 23373, 25926, 16715, 17227, 17505, 16708, 16741, 16671, 18432, 16466, 16687, 16674, 20448, 16395, 16850, 17132, 16804, 27472, 16641, 19270, 16709, 16647, 21263, 24867, 16397, 16401, 16650, 16853, 20991, 19124, 17027, 17132, 16804, 19471, 23806, 16673, 23528, 16785, 32458, 16673, 17780, 16767, 16721, 17005, 16397, 16650, 16417, 18310, 16642, 16674, 16647, 21945, 22929, 16667, 23656, 16671, 16811, 19758, 16709, 19191, 16604, 16402, 16399, 16395, 16604, 16400, 16408, 16408, 16401, 16397, 16650, 17635, 19758, 16395, 18919, 16395, 32068, 16647, 23656, 17714, 41866, 17172, 16673, 16647, 20991, 19124, 16390, 16466, 22155, 16671, 18751, 16647, 21263, 24867, 16785, 18379, 23806, 16673, 17551, 16674, 32458, 16673, 17780, 16397, 16582, 16582, 16582, 16405, 16582, 18301, 19557, 16604, 16404, 16395, 16604, 16400, 16408, 16408, 16406, 16395, 17135, 58172, 16647, 18156, 16395, 23228, 19642, 19591, 16709, 18432, 20448, 16395, 16674, 21764, 35245, 25763, 24686, 16395, 16647, 20991, 19124, 17494, 16715, 17227, 17505, 16708, 16741, 16671, 18432, 16466, 16687, 16674, 20448, 16674, 16647, 21263, 24867, 16397, 16650, 16853, 20991, 19124, 17027, 23165, 17073, 23806, 16673, 17551, 16674, 32458, 16673, 17780, 16397, 16650, 18867, 19270, 16704, 17178, 17329, 16811, 19758, 16709, 23656, 16397, 16582, 16582, 16424, 16397, 62807, 21653, 16582, 16582, 16406, 16582, 41907, 34418, 20046, 16709, 19293, 16604, 16400, 16403, 16395, 16604, 16400, 16408, 16404, 16402, 16672, 16957, 16397, 18157, 16390, 16466, 19044, 16395, 21000, 16397, 16650, 19276, 16763, 16647, 21931, 18421, 16673, 19331, 17274, 16741, 17465, 58425, 17326, 16395, 24167, 27128, 16395, 16674, 16772, 20812, 17805, 16395, 16944, 17660, 16647, 16604, 16400, 16408, 16402, 16408, 61035, 29563, 16397, 16582, 16582, 16582, 16407, 16582, 17071, 16968, 16868, 16395, 37134, 34418, 28727, 16738, 18310, 16642, 16674, 16647, 21945, 16741, 17055, 55027, 17035, 16673, 16968, 22510, 16397, 16650, 19276, 17027, 28727, 16917, 16673, 16968, 28648, 18659, 16395, 25485, 16397, 35919, 18411, 17273, 17326, 16738, 17106, 16707, 16604, 16391, 16417, 17106, 16707, 16392, 16741, 29548, 23391, 20975, 16673, 16968, 22510, 16397, 16650, 16417, 17106, 16707, 16763, 16647, 20803, 16673, 27157, 23085, 18411, 17273, 17326, 16395, 20040, 17766, 16395, 23085, 18411, 17273, 17326, 16390, 16466, 43805, 53135, 16604, 16391, 16434, 18778, 17326, 34985, 16392, 16395, 19807, 16858, 16673, 37134, 34418, 16390, 18786, 16397, 16582, 16582, 16582, 16408, 16582, 18301, 19160, 16604, 16401, 16406, 16395, 16604, 16400, 16408, 16404, 16403, 16395, 16647, 19044, 27735, 16390, 16466, 19758, 16715, 16957, 16397, 18157, 16390, 16466, 19044, 16395, 21000, 25563, 16738, 18310, 16642, 16741, 16647, 24654, 23391, 16658, 16673, 37134, 34418, 16390, 22510, 16397, 16650, 16853, 18033, 16758, 19124, 17579, 25563, 16647, 21945, 16741, 16667, 23391, 16658, 16397, 16650, 24647, 19667, 16395, 16647, 18033, 16758, 19124, 17579, 25563, 16738, 17106, 16707, 16741, 29548, 23391, 20975, 16395, 16785, 16741, 16998, 16977, 51589, 61742, 16397, 16650, 16417, 17106, 16707, 31741, 16672, 16647, 21672, 16741, 29548, 23391, 20975, 16395, 18919, 16395, 17131, 16647, 60893, 17308, 16673, 16738, 18310, 16642, 16395, 16815, 16604, 16400, 16408, 16404, 16402, 18015, 16968, 18554, 16709, 19191, 16604, 16401, 16403, 16395, 16604, 16400, 16408, 16405, 16400, 16397, 16402, 16582, 16582, 16582, 16400, 16399, 16582, 41907, 34418, 16390, 16868, 17939, 24528, 30940, 16673, 16604, 16385, 16828, 50023, 16395, 16858, 22395, 16395, 16858, 37704, 16395, 16674, 16858, 29548, 19329, 16673, 16998, 17936, 16385, 16671, 16738, 17106, 16707, 16395, 16672, 16968, 18814, 16741, 29548, 23391, 20975, 16397, 16650, 16417, 17106, 16707, 16955, 16647, 17803, 16671, 22167, 16998, 16673, 16647, 16604, 16385, 41060, 16395, 50023, 16785, 37704, 16385, 17049, 22816, 17208, 16703, 25773, 16397, 16650, 19276, 17027, 16955, 16647, 17803, 16671, 21349, 16944, 21024, 16961, 16703, 19807, 16397, 16650, 16417, 17106, 16707, 17120, 17754, 16647, 29548, 18786, 16741, 17301, 16741, 17049, 18612, 16395, 17177, 17049, 16763, 16671, 17762, 17007, 17030, 16671, 16647, 18059, 16673, 21000, 23901, 16397, 16650, 22164, 20638, 16815, 17213, 29548, 21024, 16763, 16671, 16703, 18939, 16672, 19956, 16809, 16647, 21945, 16395, 18184, 16734, 16647, 31445, 16673, 37134, 34418, 16390, 19329, 16397, 16582, 16582, 16582, 16400, 16400, 16582, 22574, 16661, 16672, 16968, 18814, 16741, 29548, 23391, 20975, 16395, 16738, 17106, 16707, 23980, 37134, 34418, 16390, 37704, 16395, 25256, 16395, 50023, 16395, 16674, 16977, 21024, 16815, 16738, 18310, 16642, 16397, 16650, 16417, 17106, 16707, 17027, 21715, 16991, 16673, 37134, 34418, 16390, 21024, 16815, 18411, 17273, 17326, 34985, 16397, 16650, 19231, 17028, 17005, 17132, 16738, 18310, 16642, 16395, 16647, 17097, 19124, 25563, 51589, 61742, 16395, 18021, 19181, 16667, 30133, 16673, 16647, 21024, 23980, 16809, 16738, 17106, 16707, 16397, 16582, 16582, 16582, 16400, 16401, 16582, 16417, 17106, 16707, 17184, 19230, 36338, 20888, 16968, 27738, 16741, 29548, 23391, 20975, 16397, 16650, 24480, 16647, 31445, 16673, 16968, 17417, 16395, 17049, 19792, 16667, 25651, 16671, 16674, 17498, 33165, 19879, 19807, 16772, 21860, 21315, 16395, 16674, 17177, 23809, 16647, 19170, 28736, 16703, 18630, 16671, 16647, 18059, 16673, 21000, 23901, 16410, 16650, 23333, 17498, 33165, 19879, 19807, 16772, 17853, 16457, 33453, 37134, 34418, 43192, 16395, 16674, 17177, 21506, 16647, 20286, 19367, 16674, 19170, 21024, 16671, 18411, 17273, 17326, 34985, 16410, 16650, 23333, 19304, 16671, 20303, 16721, 16998, 18786, 35378, 16809, 18411, 17273, 17326, 34985, 16958, 18242, 18630, 16671, 16647, 18059, 16673, 21000, 23901, 16410, 16650, 16770, 17049, 28015, 22652, 16977, 22593, 16671, 16647, 18059, 16673, 21000, 23901, 16397, 16650, 20068, 16738, 17106, 16707, 16390, 16466, 18554, 16672, 16604, 16400, 16408, 16405, 16400, 16395, 16738, 18310, 16642, 17132, 16804, 17704, 16998, 16917, 18118, 16671, 22921, 16647, 18814, 16673, 29548, 23391, 16658, 16397, 16650, 34015, 16395, 16741, 23391, 16658, 16673, 16647, 22510, 16395, 16733, 26511, 16721, 18814, 16397, 16582, 16582, 16582, 16400, 16402, 16582, 16417, 18310, 16642, 16763, 16804, 16741, 65191, 17531, 16741, 16738, 17106, 16707, 16672, 24729, 16647, 27738, 16673, 29548, 23391, 16658, 16397, 16650, 17611, 25170, 16721, 16733, 16763, 21582, 16721, 16738, 17106, 16707, 16955, 16641, 18650, 17679, 16673, 37134, 34418, 16390, 22593, 16767, 16647, 17005, 16673, 16968, 18554, 16395, 18352, 16733, 17579, 18666, 16738, 17106, 16707, 16390, 16466, 17797, 16671, 17911, 16998, 16673, 17310, 22593, 16671, 16647, 37134, 34418, 22510, 16397, 16650, 17611, 22039, 16721, 16733, 22816, 16647, 22593, 16958, 17131, 25381, 16715, 25425, 16809, 18411, 17273, 17326, 34985, 16395, 16850, 37195, 16721, 16733, 19324, 16647, 22593, 16958, 16767, 16738, 17106, 16707, 16390, 16466, 28468, 16397, 16650, 17071, 16998, 18094, 16395, 16733, 21431, 16671, 23204, 18515, 16785, 16804, 16647, 22593, 16958, 17015, 16673, 16647, 37134, 34418, 22510, 16674, 18515, 16785, 16804, 16873, 16958, 17255, 19570, 16715, 25425, 16809, 18411, 17273, 17326, 34985, 16397, 16650, 31304, 17202, 17135, 16738, 17106, 16707, 16390, 16466, 18554, 16709, 19191, 16604, 16401, 16403, 16395, 16604, 16400, 16408, 16405, 16400, 16395, 16647, 21000, 18033, 16758, 19124, 21109, 21419, 16673, 37134, 34418, 16390, 22510, 16734, 16738, 18310, 16642, 17363, 17961, 21431, 16671, 35138, 16647, 20584, 16673, 17310, 22593, 16397, 16582, 16582, 16582, 16400, 16403, 16582, 16853, 22593, 23622, 25499, 16767, 16647, 28468, 16673, 16738, 17106, 16707, 16390, 16466, 28991, 17276, 16672, 17142, 27696, 16944, 16958, 34475, 16604, 16385, 16428, 45697, 23565, 16674, 25256, 16397, 16385, 16650, 16875, 16604, 16400, 16408, 16407, 16406, 16395, 16738, 17106, 16707, 16390, 16466, 28991, 17276, 16763, 20069, 16815, 16647, 28468, 16395, 16859, 16733, 16674, 16888, 17968, 19728, 16671, 53027, 16673, 16647, 28565, 16673, 16647, 27696, 16397, 16650, 24683, 16397, 20624, 49109, 17407, 16395, 16738, 17106, 16707, 16390, 16466, 20803, 16395, 32239, 18667, 16397, 38083, 23472, 43647, 16395, 16641, 35778, 18365, 34954, 16673, 21041, 19331, 16674, 29548, 16674, 22793, 50023, 16395, 16671, 17261, 17007, 19905, 16647, 18651, 16397, 16650, 38429, 43647, 16674, 16888, 19337, 33402, 16665, 16647, 28565, 16673, 16647, 17142, 27696, 16741, 21983, 16409, 16582, 16582, 16582, 16400, 16404, 16582, 16400, 16397, 16650, 20201, 17500, 19517, 16815, 37134, 34418, 16671, 16738, 17106, 16707, 16815, 16604, 16400, 16408, 16402, 16408, 16671, 16604, 16400, 16408, 16404, 16402, 16410, 16582, 16582, 16582, 16400, 16405, 16582, 16401, 16397, 16650, 25502, 20833, 16983, 16673, 16738, 17106, 16707, 16672, 21032, 16734, 16968, 27738, 16741, 29548, 23391, 20975, 16410, 16582, 16582, 16582, 16400, 16406, 16582, 16402, 16397, 16650, 44799, 16390, 16466, 20286, 19367, 16734, 23107, 16390, 16466, 20939, 16396, 20194, 18990, 16665, 17153, 16806, 16964, 16673, 37134, 34418, 16390, 16772, 21860, 21315, 16604, 16391, 16448, 17968, 16390, 16466, 17547, 17498, 33165, 19879, 19807, 16809, 16738, 17106, 16707, 16392, 16410, 16582, 16582, 16582, 16400, 16407, 16582, 16403, 16397, 16650, 47608, 49201, 19170, 20286, 19367, 16466, 16395, 50023, 16395, 16674, 17971, 20385, 19517, 16809, 37134, 34418, 16395, 17789, 16968, 17092, 63985, 20318, 16395, 28655, 16673, 18101, 28655, 16410, 16582, 16582, 16582, 16400, 16408, 16582, 16404, 16397, 16650, 20201, 17500, 19517, 16815, 16738, 17106, 16707, 16671, 37134, 34418, 16815, 16604, 16400, 16408, 16403, 16399, 16671, 16604, 16400, 16408, 16404, 16402, 16397, 16403, 16582, 16582, 16582, 16401, 16399, 16582, 20068, 62508, 16647, 33402, 16673, 22593, 16395, 23472, 43647, 32239, 18958, 16397, 20288, 21265, 30710, 23481, 16395, 16667, 21871, 16673, 17227, 17505, 16708, 16395, 16931, 16647, 23565, 16397, 16650, 18621, 17505, 16708, 16704, 16641, 17785, 16395, 17975, 16396, 25056, 20384, 22774, 16671, 38539, 17726, 21582, 16686, 16782, 16673, 16395, 16674, 17654, 16672, 16395, 16819, 16978, 16697, 40627, 22797, 16673, 18764, 23427, 16674, 25461, 19995, 16397 ]
[ 0, 16422, 17151, 54644, 20740, 18180, 23195, 16452, 16604, 16391, 22588, 16428, 16392, 16704, 16647, 17154, 18545, 16674, 27747, 20618, 20483, 27242, 16734, 16641, 30548, 25341, 16673, 16604, 16400, 16401, 18355, 16397, 17828, 24403, 31624, 23575, 16673, 18766, 50071, 16674, 39031, 16769, 39517, 16671, 43965, 21825, 34479, 24683, 17172, 16673, 16647, 54168, 19927, 16673, 16796, 26286, 16395, 25214, 16785, 48191, 23759, 16671, 22595, 16674, 16647, 21057, 16673, 19546, 16396, 16396, 40524, 16396, 16396, 20097, 21688, 16604, 16391, 30011, 16417, 16392, 16397, 16445, 16442, 16415, 54690, 16400, 16444, 16395, 16443, 16604, 16442, 16415, 54690, 16401, 16444, 16445, 17999, 26148, 16647, 16604, 16393, 25037, 40074, 16393, 16721, 16872, 23622, 41400, 17030, 16604, 16401, 16404, 17202, 16395, 20318, 25749, 16674, 31624, 23575, 17109, 16671, 16703, 20140, 16397, 16582, 16582, 26614, 21248, 16673, 43459, 16704, 16641, 18474, 23710, 19632, 16673, 38030, 16721, 28994, 23759, 17647, 16647, 42452, 16395, 16445, 16442, 16415, 54690, 16402, 16444, 16445, 18065, 16647, 23441, 43380, 16673, 64205, 39808, 22585, 19784, 16641, 36416, 19474, 16672, 19165, 16397, 39173, 17160, 40412, 36977, 43459, 17655, 18554, 32247, 18376, 16395, 17274, 16741, 27242, 47778, 38981, 21348, 16396, 21670, 43459, 16396, 16879, 43860, 54848, 16604, 16391, 59944, 19892, 16392, 16395, 16704, 16641, 29334, 21084, 17172, 16673, 17073, 27242, 45732, 16397, 16445, 16442, 16415, 54690, 16403, 16444, 16445, 30419, 49429, 19892, 16396, 19338, 38094, 17274, 16741, 58549, 18206, 49429, 19892, 16674, 18554, 32174, 46432, 17523, 16807, 16992, 20140, 16674, 16807, 19628, 18141, 16672, 17036, 51157, 20609, 16397, 16445, 16442, 16415, 54690, 16404, 16444, 16445, 33465, 16395, 58948, 41892, 43459, 16809, 64363, 16647, 20381, 16904, 19299, 22585, 16738, 16933, 16396, 16401, 26513, 16395, 16738, 16933, 16396, 16401, 16674, 16738, 16933, 16396, 54488, 16395, 16734, 59153, 16402, 53003, 16872, 19628, 18141, 16672, 17036, 51157, 27242, 20609, 16397, 16445, 16442, 16415, 54690, 16405, 16444, 16395, 16443, 16604, 16442, 16415, 54690, 16406, 16444, 16445, 18523, 16395, 16647, 18166, 42899, 16672, 16764, 16904, 19299, 22585, 38094, 16704, 48191, 16785, 25214, 23759, 16673, 27242, 19487, 16671, 16647, 16764, 16904, 19299, 22585, 23969, 16397, 16445, 16442, 16415, 54690, 16407, 16444, 16445, 16582, 16582, 65213, 23352, 26080, 16673, 16647, 43459, 31133, 22539, 17120, 16703, 21022, 16715, 16647, 22155, 16673, 26109, 19208, 16671, 16647, 16764, 16904, 19299, 22585, 23969, 16397, 16445, 16442, 16415, 54690, 16402, 16444, 16445, 18483, 17204, 16396, 40077, 17521, 19576, 40309, 16704, 16647, 65524, 19923, 19670, 23062, 16673, 16764, 16904, 19299, 22585, 24507, 16395, 17274, 16741, 18554, 32174, 16604, 16403, 16604, 16391, 16393, 24087, 16403, 16393, 16392, 16397, 16445, 16442, 16415, 54690, 16408, 16444, 16445, 18523, 16395, 65524, 19923, 26080, 16673, 39031, 19208, 16673, 20053, 19487, 16872, 16992, 25402, 16671, 16703, 24566, 16674, 65215, 16397, 16445, 16442, 16415, 54690, 16400, 16399, 16444, 16445, 49443, 16906, 19831, 16807, 19628, 16721, 51983, 49429, 19892, 23759, 16704, 18230, 16809, 17655, 24745, 23969, 16395, 17274, 16741, 16647, 17884, 16877, 16774, 16861, 51542, 16954, 41338, 16395, 16445, 16442, 16415, 54690, 16400, 16400, 16444, 16395, 16443, 16604, 16442, 16415, 54690, 16400, 16401, 16444, 16395, 16443, 16604, 16442, 16415, 54690, 16400, 16402, 16444, 16445, 59491, 17160, 16647, 18479, 16721, 16647, 23759, 16843, 16703, 38514, 16809, 65524, 19923, 24283, 17453, 19509, 16397, 16582, 16582, 16853, 65524, 16838, 16673, 19487, 16769, 26447, 16809, 24566, 17884, 16877, 16674, 23642, 36101, 19796, 16647, 28372, 21990, 16809, 16641, 17585, 16673, 28372, 21990, 16396, 18852, 20681, 40665, 16604, 16391, 16418, 24129, 16466, 16392, 18047, 16604, 16390, 44212, 16390, 17274, 16741, 17884, 16877, 17263, 51542, 44574, 17779, 16395, 17884, 16877, 37183, 44574, 17779, 16604, 16391, 16423, 24701, 16466, 16392, 16674, 23642, 37183, 44574, 17779, 16604, 16391, 53104, 24701, 16466, 16392, 16397, 16445, 16442, 16415, 54690, 16400, 16403, 16444, 16445, 18708, 36101, 16843, 16703, 22111, 16809, 16604, 16390, 16646, 48846, 16390, 17274, 16741, 17884, 16877, 16774, 16861, 51542, 17779, 16604, 16391, 26997, 18513, 16466, 16392, 16674, 17884, 16877, 17661, 24648, 17779, 16604, 16391, 26997, 24683, 16392, 16395, 16785, 16843, 16703, 23611, 16809, 16604, 16390, 17196, 16756, 16390, 17274, 16741, 60094, 16745, 16680, 16805, 16396, 44829, 26513, 16397, 16445, 16442, 16415, 54690, 16400, 16404, 16444, 16445, 21604, 16647, 27732, 27287, 19868, 16671, 56988, 16795, 20053, 65524, 28470, 16769, 21638, 17607, 23999, 16395, 16445, 16442, 16415, 54690, 16400, 16405, 16444, 16395, 16443, 16604, 16442, 16415, 54690, 16400, 16406, 16444, 16395, 16443, 16604, 16442, 16415, 54690, 16400, 16407, 16444, 16445, 17154, 19831, 16672, 16796, 26286, 25646, 18314, 16709, 23642, 24068, 16398, 47872, 16680, 24648, 16725, 16397, 16445, 16442, 16415, 54690, 16400, 16408, 16444, 16445, 23466, 16395, 16667, 59092, 16674, 24632, 23405, 16673, 24128, 16673, 16719, 24129, 16466, 16672, 43459, 23759, 16704, 18964, 16397, 16582, 16582, 17071, 16811, 18077, 16395, 16742, 26498, 16671, 39291, 16758, 16647, 17917, 16673, 16719, 24129, 16466, 44889, 39808, 22585, 19208, 16672, 16796, 26286, 16674, 62950, 16641, 19260, 16396, 17663, 16396, 18570, 19474, 17655, 18187, 16396, 54705, 30207, 40227, 17894, 16604, 16391, 17258, 42073, 16392, 16721, 16958, 20087, 17647, 16641, 21112, 16850, 24366, 17280, 16673, 16719, 24129, 16466, 16674, 19970, 26513, 16397, 17119, 16807, 19628, 16721, 19260, 16673, 16908, 33021, 16401, 16417, 16604, 16396, 16396, 16641, 16751, 16402, 16426, 16402, 16405, 16396, 27044, 17884, 16877, 17661, 24648, 16954, 16604, 16396, 16396, 18907, 16665, 16796, 26286, 19487, 16715, 43459, 17181, 16647, 36942, 16673, 16764, 16904, 19299, 22585, 24507, 16674, 16647, 42492, 16673, 20381, 16904, 19299, 22585, 24507, 16397, 19736, 18466, 18510, 16908, 33021, 16401, 16417, 16741, 16641, 20318, 20854, 65524, 19923, 41736, 16673, 16796, 26286, 18155, 43459, 16674, 21986, 16728, 16741, 16641, 19056, 16764, 16904, 19299, 22585, 18821, 16715, 18368, 16673, 16796, 26286, 19165, 16397, 16582, 16582, 32271, 16582, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16582, 16582, 22664, 22884, 16725, 16673, 16647, 16719, 24129, 16466, 27873, 16908, 33021, 16401, 16417, 16741, 16641, 17374, 30433, 16673, 49429, 19892, 16396, 31263, 43459, 16672, 16796, 26286, 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, 16582, 16582, 18313, 21986, 16647, 18474, 16719, 24129, 16466, 44889, 16647, 39808, 22585, 19208, 16673, 16796, 26286, 19487, 16395, 16742, 21627, 16641, 16812, 27796, 16396, 19338, 19260, 16396, 17663, 16396, 18570, 20503, 16672, 16876, 16407, 16406, 36361, 18155, 18089, 16604, 16391, 16442, 23236, 16604, 16400, 16448, 16444, 16391, 16386, 19327, 16400, 16392, 16474, 18452, 16396, 18926, 16412, 16385, 19327, 16385, 16476, 16392, 16397, 17119, 17405, 16641, 22864, 16673, 16604, 16405, 16399, 16812, 42073, 19807, 17329, 16395, 16445, 16442, 16415, 54690, 16401, 16399, 16444, 16445, 16674, 26961, 16728, 16671, 16604, 16400, 16401, 16404, 16812, 42073, 30634, 16604, 16403, 16407, 17476, 16719, 24129, 24507, 16734, 17142, 16785, 17567, 21681, 16812, 42073, 16397, 16772, 26613, 16719, 24129, 16466, 19618, 58405, 24701, 16466, 16395, 16751, 24701, 16466, 16395, 26015, 24683, 16395, 37183, 16895, 23642, 16396, 36209, 26513, 16395, 20932, 33604, 16396, 21826, 26513, 16604, 16391, 20714, 39290, 16392, 16674, 16641, 17589, 37732, 20671, 16604, 16391, 16442, 23236, 16604, 16400, 16449, 16444, 16391, 16386, 19327, 16400, 16392, 16474, 18452, 16396, 18926, 16412, 16385, 19327, 16385, 16476, 16392, 16397, 17119, 17092, 29998, 16647, 19938, 16673, 16812, 42073, 19958, 16709, 16876, 16407, 16406, 36361, 18155, 45394, 16395, 16671, 21986, 16812, 42073, 38867, 41892, 41712, 17329, 49429, 19892, 19165, 16397, 21821, 16673, 16647, 16604, 16400, 16401, 16404, 16812, 42073, 16958, 35052, 16815, 18613, 19335, 16672, 16647, 20503, 16741, 16873, 21099, 16604, 16443, 16477, 16400, 16399, 16399, 16388, 18155, 18554, 17135, 17748, 22091, 27225, 22525, 16395, 22436, 18443, 16671, 19153, 16734, 31589, 32538, 16397, 40156, 16395, 16604, 16405, 16891, 16673, 16604, 16400, 16401, 16404, 16812, 42073, 21999, 18155, 45394, 16922, 17032, 16604, 16401, 20464, 16434, 16397, 16419, 16397, 19739, 16734, 16812, 28681, 16604, 16391, 16442, 23236, 16604, 16400, 16450, 16444, 16391, 16386, 19327, 16400, 16392, 16474, 18452, 16396, 18926, 16412, 16385, 19327, 16385, 16476, 16392, 16397, 18708, 16958, 16812, 42073, 30634, 16908, 33021, 16404, 16418, 16604, 16391, 16405, 16407, 31334, 16400, 16388, 16392, 16395, 16908, 33021, 16403, 16418, 16604, 16391, 16406, 16400, 31334, 16400, 16388, 16392, 16395, 16908, 33021, 16403, 16416, 16604, 16391, 16406, 16404, 31334, 16400, 16388, 16392, 16395, 16908, 33021, 16403, 16416, 16604, 16391, 16406, 16404, 31334, 16400, 16388, 16392, 16395, 23612, 16400, 16416, 16604, 16391, 16406, 16406, 31334, 16400, 16388, 16392, 16674, 16908, 33021, 16402, 16417, 16604, 16391, 16406, 16406, 31334, 16400, 16388, 16392, 16397, 28092, 16891, 16673, 16604, 16400, 16401, 16404, 16812, 42073, 30634, 18418, 24940, 16401, 16604, 16391, 16400, 16400, 16404, 31334, 16400, 16388, 16392, 16395, 16727, 28304, 16400, 16604, 16391, 16400, 16400, 16404, 31334, 16400, 16388, 16392, 16395, 16711, 29962, 16440, 16604, 16391, 16400, 16400, 16406, 31334, 16404, 16388, 16392, 16395, 16700, 35042, 16402, 16604, 16391, 16400, 16400, 16406, 31334, 16400, 16388, 16392, 16674, 16799, 16441, 16423, 16400, 16604, 16391, 16400, 16401, 16400, 31334, 16401, 16388, 16392, 21099, 21600, 23361, 16672, 45394, 16397, 18523, 16395, 16647, 20987, 16673, 16647, 16812, 42073, 17132, 16804, 21777, 26148, 18155, 45394, 16604, 16391, 16442, 23236, 16604, 16400, 16450, 16444, 16391, 16386, 19327, 16400, 16392, 16474, 18452, 16396, 18926, 16412, 16385, 19327, 16385, 16476, 16392, 16397, 17999, 21986, 16812, 42073, 16721, 17374, 21111, 49429, 19892, 29214, 16395, 16742, 29998, 16647, 18448, 45394, 19029, 17135, 49429, 19892, 19165, 16397, 40156, 16395, 16742, 54244, 16719, 24129, 16466, 17065, 17142, 19318, 18138, 16709, 16647, 49494, 21852, 19028, 16914, 19670, 23062, 19739, 16734, 16812, 28681, 19487, 16409, 16604, 16391, 16400, 16392, 38875, 17035, 16673, 43459, 16395, 16980, 16914, 23860, 19671, 55201, 17521, 16647, 19487, 16671, 49429, 19892, 16395, 16604, 16391, 16401, 16392, 23457, 34139, 16673, 43459, 16395, 16980, 16914, 23860, 19671, 60807, 19487, 16922, 49429, 19892, 37116, 16604, 16391, 16442, 23236, 16604, 16400, 16451, 16444, 16391, 16386, 19327, 16400, 16392, 16474, 18452, 16396, 18926, 16412, 16385, 19327, 16385, 16476, 16392, 16397, 19814, 49429, 19892, 21099, 16604, 16401, 16404, 31334, 16403, 16388, 23789, 16672, 16647, 45394, 16673, 16812, 28681, 19487, 16395, 16986, 16958, 20575, 16812, 42073, 16721, 55201, 17521, 19487, 16671, 49429, 19892, 16397, 18708, 16958, 30634, 18514, 24507, 16395, 30807, 16604, 16393, 16434, 25761, 16402, 16408, 16423, 16401, 16393, 16604, 16391, 16403, 16400, 31334, 16401, 16388, 16392, 16395, 16604, 16393, 16422, 16408, 16416, 16393, 16604, 16391, 16403, 16401, 31334, 16401, 16388, 16392, 16395, 16604, 16393, 35586, 16401, 16421, 16401, 16393, 16604, 16391, 16403, 16404, 31334, 16403, 16388, 16392, 16395, 16604, 16393, 16433, 19207, 16400, 16416, 16393, 16604, 16391, 16403, 16407, 31334, 16401, 16785, 16604, 16404, 16399, 31334, 16402, 16388, 16392, 16674, 16604, 16393, 16426, 33021, 16401, 16417, 16393, 16604, 16391, 16403, 16400, 31334, 16401, 16785, 16604, 16403, 16403, 31334, 16401, 16388, 16392, 16604, 16391, 16442, 23236, 16604, 16400, 16452, 16444, 16391, 16386, 19327, 16400, 16392, 16474, 18452, 16396, 18926, 16412, 16385, 19327, 16385, 16476, 16392, 16397, 17119, 17177, 21882, 16709, 16647, 24507, 16604, 16393, 16433, 19207, 16400, 16416, 16393, 16674, 16604, 16393, 16426, 33021, 16401, 16417, 16393, 16395, 20040, 23860, 19671, 19684, 16671, 16641, 49494, 16734, 17142, 21191, 16812, 42073, 16604, 16391, 16442, 23236, 16604, 16400, 16452, 16444, 16391, 16386, 19327, 16400, 16392, 16474, 18452, 16396, 18926, 16412, 16385, 19327, 16385, 16476, 16392, 16397, 53572, 18226, 16395, 17038, 20503, 21766, 16908, 33021, 16401, 16417, 16674, 16778, 19207, 16400, 16395, 16667, 16751, 16402, 16426, 16402, 16405, 16396, 27044, 17661, 24648, 16954, 16674, 16667, 16799, 16402, 43764, 16642, 16396, 57256, 32247, 16954, 16673, 16751, 16401, 28197, 16400, 16400, 16408, 16395, 22358, 16395, 16741, 20318, 37617, 16673, 49429, 19892, 19208, 16397, 16582, 16582, 61201, 16673, 16908, 33021, 16401, 16417, 23626, 17099, 16734, 49429, 19892, 16671, 21033, 16796, 26286, 18155, 45394, 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, 16582, 16582, 18313, 20114, 16647, 17917, 16673, 16647, 20318, 43459, 16396, 18852, 24329, 16719, 24129, 16466, 16742, 21766, 16672, 34479, 24683, 16395, 16742, 17092, 25865, 16647, 23860, 19671, 24047, 16673, 16647, 16812, 42073, 16674, 21852, 19670, 23062, 17285, 16671, 16604, 16400, 16406, 16396, 16396, 16403, 16399, 16388, 16604, 16391, 16442, 48753, 25173, 16604, 16400, 16444, 16391 ]
[ 0, 38194, 16604, 16474, 16386, 37256, 16400, 16476, 16582, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16582, 16582, 43683, 20189, 22945, 16674, 18229, 16396, 29942, 47682, 16673, 17624, 16396, 22032, 35196, 29472, 16769, 16647, 22481, 45499, 16673, 17490, 33325, 16674, 20884, 58300, 16397, 48538, 33325, 54643, 45890, 17225, 20558, 16673, 21137, 22834, 16395, 20884, 58300, 16704, 18138, 16709, 18229, 16396, 35994, 20734, 16673, 38325, 28860, 16672, 16647, 17510, 16673, 23903, 27326, 16397, 35435, 18123, 17030, 16647, 21876, 16674, 16647, 40686, 16673, 23903, 27326, 19933, 29334, 31222, 16715, 26684, 17692, 17483, 20896, 16445, 16442, 16415, 23965, 16400, 16444, 16445, 17172, 16914, 36879, 16704, 27506, 16925, 17285, 16671, 16647, 26684, 30247, 21434, 16397, 29940, 23796, 42208, 18288, 16811, 47902, 47944, 30929, 16445, 16442, 16415, 23965, 16401, 16444, 16396, 16396, 16442, 16415, 23965, 16406, 16444, 16445, 16395, 16734, 16917, 16396, 29359, 41678, 16673, 26965, 26683, 52471, 17255, 16667, 43098, 43701, 16956, 18185, 16445, 16442, 16415, 23965, 16407, 16444, 16396, 16396, 16442, 16415, 23965, 16400, 16402, 16444, 16445, 16397, 23785, 39670, 26683, 22262, 19025, 16943, 27599, 23903, 16396, 36305, 30725, 16980, 16647, 52471, 16769, 29755, 19565, 23217, 19992, 26683, 22262, 16397, 17376, 23903, 27326, 26815, 16758, 17181, 16641, 20884, 23796, 30050, 16734, 19508, 17585, 30736, 17014, 16647, 34025, 17873, 29727, 16466, 18184, 16647, 52471, 16395, 16811, 54247, 16396, 16420, 17258, 31386, 16604, 16391, 22370, 16392, 26302, 16704, 17154, 21646, 16715, 20884, 23796, 20988, 16397, 46937, 16661, 16673, 28406, 38833, 35801, 17274, 16741, 26623, 16828, 17456, 16604, 16391, 28127, 16392, 16395, 18035, 16395, 16674, 18035, 23465, 16417, 17065, 64966, 41678, 20634, 16715, 41364, 22945, 16673, 20884, 23796, 19692, 23820, 16445, 16442, 16415, 23965, 16407, 16444, 16396, 16396, 16442, 16415, 23965, 16400, 16404, 16444, 16445, 16397, 17544, 17213, 21024, 16395, 24077, 23903, 27326, 16769, 20349, 50270, 16802, 16674, 27626, 16914, 17585, 30736, 16704, 18122, 16397, 34695, 48267, 18331, 30086, 19933, 18122, 44681, 16673, 16647, 18583, 16674, 25597, 16673, 20095, 17414, 16949, 18376, 16674, 42668, 23790, 34448, 16809, 28593, 16673, 16647, 64966, 25597, 16395, 42652, 22551, 16395, 16785, 21627, 26683, 18676, 16397, 18523, 16395, 20884, 23796, 42208, 17366, 16673, 28406, 38833, 35801, 25873, 16815, 52980, 25258, 17172, 16673, 18354, 40929, 37551, 16661, 16397, 16772, 33405, 20570, 16673, 23903, 27326, 16672, 17213, 21024, 16704, 20236, 16671, 16641, 17589, 31146, 16673, 61414, 20221, 16445, 16442, 16415, 23965, 16406, 16444, 16445, 16397, 16582, 16582, 16421, 17604, 16706, 34050, 16966, 19075, 36522, 26683, 37551, 16661, 16931, 17142, 24078, 16673, 31942, 19251, 17032, 16604, 16402, 16451, 23052, 35801, 16674, 16704, 19570, 16741, 16647, 39873, 18651, 16715, 20884, 58300, 16445, 16442, 16415, 23965, 16400, 16444, 16395, 16442, 16415, 23965, 16400, 16405, 16444, 16445, 16397, 20468, 16709, 16966, 19075, 16396, 19338, 20884, 23796, 42208, 16704, 24730, 16395, 16850, 16672, 23065, 16671, 28406, 38833, 35801, 16395, 23903, 16396, 36305, 47682, 18325, 18403, 16966, 19075, 23820, 16704, 25927, 31093, 16809, 21801, 23217, 19992, 36202, 16397, 17170, 60190, 16760, 16395, 16944, 41182, 16815, 16647, 17785, 34025, 17873, 16673, 16966, 19075, 16395, 24727, 16647, 25258, 16673, 23903, 27326, 16397, 30419, 32026, 16807, 16992, 28020, 17274, 16741, 61414, 18104, 16396, 57497, 16966, 19075, 22278, 16734, 35984, 18398, 22284, 32755, 16445, 16442, 16415, 23965, 16400, 16406, 16444, 16396, 16396, 16442, 16415, 23965, 16401, 16400, 16444, 16445, 16395, 44459, 52471, 16709, 17772, 16445, 16442, 16415, 23965, 16401, 16401, 16444, 16395, 16442, 16415, 23965, 16401, 16402, 16444, 16445, 16395, 17788, 24833, 16848, 20402, 23820, 16445, 16442, 16415, 23965, 16401, 16403, 16444, 16445, 16395, 25597, 17374, 21460, 16445, 16442, 16415, 23965, 16401, 16404, 16444, 16445, 16395, 16674, 18109, 24484, 17677, 16445, 16442, 16415, 23965, 16401, 16405, 16444, 16445, 16397, 20919, 23903, 16396, 36305, 41318, 16672, 17213, 20884, 23796, 42208, 16704, 21801, 19739, 16671, 39418, 16685, 17676, 17308, 16395, 17259, 20666, 19487, 16604, 16391, 16393, 16429, 16393, 20464, 16412, 20464, 16404, 16396, 16396, 16402, 16404, 16672, 56753, 16397, 16604, 16445, 16442, 16415, 23965, 16400, 16406, 16444, 16396, 16396, 16442, 16415, 23965, 16401, 16405, 16444, 16445, 16392, 16769, 18964, 16671, 17671, 16903, 19692, 16454, 18220, 16397, 16772, 37570, 41840, 16673, 23903, 16396, 36305, 29520, 16815, 18494, 42652, 21932, 17027, 21479, 16466, 16647, 19692, 52967, 19101, 16445, 16442, 16415, 23965, 16401, 16406, 16444, 16445, 16397, 16875, 22332, 16734, 16647, 22439, 22415, 23903, 16396, 36305, 48267, 24511, 16673, 16966, 19075, 16395, 16811, 16872, 20781, 17963, 21047, 17785, 19692, 16454, 18220, 28474, 16815, 17097, 16641, 17589, 16671, 16641, 17589, 31146, 16673, 49338, 16672, 16966, 19075, 16396, 19338, 20884, 23796, 42208, 16397, 16582, 16582, 21055, 16395, 16742, 59849, 26157, 39418, 16966, 19075, 16396, 19338, 20884, 23796, 42208, 34914, 28456, 27506, 16925, 19692, 16454, 18220, 16673, 16903, 16671, 16604, 16401, 16399, 16399, 20464, 64548, 16674, 18229, 16396, 29942, 25258, 16672, 20095, 17414, 16949, 18376, 17030, 16641, 21424, 16673, 16604, 16401, 16399, 16399, 20464, 23944, 16460, 16397, 16772, 42208, 19881, 16673, 16604, 16401, 16405, 16399, 16396, 37708, 16396, 57497, 16966, 19075, 52471, 16721, 16769, 28344, 16815, 17492, 16977, 16809, 17097, 16641, 17589, 16604, 16391, 16393, 16429, 16393, 20464, 16412, 20464, 16401, 16396, 16396, 16403, 16392, 24249, 25607, 16673, 18398, 16785, 18035, 23465, 16417, 16397, 25453, 38430, 23903, 16396, 36305, 49471, 16674, 27520, 38833, 35628, 16395, 16742, 17299, 17072, 16647, 21883, 17036, 48275, 16673, 34025, 17873, 16672, 18035, 23465, 16417, 32936, 24187, 16647, 36202, 17415, 41415, 16396, 25974, 17516, 23903, 16396, 36305, 30725, 16672, 16966, 19075, 52471, 16395, 24500, 19287, 21424, 47682, 16673, 24077, 23903, 27326, 16767, 20095, 36310, 16397, 16875, 23065, 16395, 25258, 16673, 23903, 27326, 19575, 16647, 19692, 16454, 18220, 16704, 18546, 19765, 44772, 16397, 16772, 22741, 16674, 25597, 16466, 16673, 16647, 19692, 16454, 18220, 16769, 27506, 16925, 16809, 28593, 16673, 16647, 23703, 28338, 18676, 16395, 42652, 22551, 16395, 16785, 64966, 25597, 16397, 16875, 23576, 16395, 16647, 19692, 20189, 16673, 16966, 19075, 16396, 19338, 20884, 23796, 42208, 17714, 18035, 23465, 16417, 16604, 16391, 17349, 52967, 16396, 41091, 16895, 52471, 16392, 36522, 22129, 21036, 19692, 16454, 18220, 16395, 16850, 26815, 17160, 23903, 27326, 37551, 16891, 16922, 19988, 17172, 16673, 21999, 23217, 19992, 36202, 17415, 16647, 16966, 19075, 52471, 16397, 16582, 16582, 32271, 16604, 16474, 16386, 37256, 16401, 16476, 16582, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16582, 16582, 63673, 16396, 36305, 25258, 16672, 26416, 16966, 19075, 22278, 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, 16582, 16582, 36036, 16396, 40599, 24749, 16662, 17604, 16706, 34050, 16966, 19075, 22278, 16734, 16641, 32622, 16673, 16604, 16401, 16405, 16399, 20464, 37708, 16958, 23475, 16709, 16604, 16391, 16400, 16400, 16400, 16392, 16396, 34159, 16796, 16451, 16477, 16402, 16477, 40107, 16477, 16404, 16477, 16430, 16477, 16400, 16401, 16477, 16604, 16391, 33060, 16422, 16392, 49444, 17655, 44406, 16665, 27621, 41618, 16604, 16391, 23004, 16419, 16392, 16397, 18916, 19134, 16395, 16647, 18435, 20189, 16763, 29781, 16809, 18126, 16396, 17864, 56504, 16604, 16391, 16439, 43090, 16392, 16674, 25258, 25324, 45266, 16604, 16391, 16435, 20321, 16392, 16397, 25173, 18331, 16442, 16400, 16448, 16444, 16391, 16386, 24001, 16400, 16392, 16474, 18452, 16396, 18926, 16412, 16385, 19327, 16385, 16476, 18937, 16641, 19532, 16396, 50951, 18331, 25538, 16396, 45892, 64257, 19521, 16674, 16647, 24284, 56504, 20610, 16673, 16667, 16741, 16396, 42715, 16966, 19075, 18435, 18331, 16645, 16796, 33060, 16397, 16772, 17204, 16396, 37671, 37700, 20189, 16674, 25669, 56504, 27373, 35528, 42519, 32607, 17271, 17002, 19134, 16673, 16966, 19075, 16391, 16400, 16400, 16400, 16392, 16709, 16796, 33060, 16391, 16400, 16400, 16400, 16392, 16397, 64360, 37551, 16661, 16672, 16647, 16966, 19075, 22278, 16763, 23975, 17655, 16641, 27280, 19278, 20838, 22339, 28406, 38833, 39448, 16604, 16391, 16437, 19753, 16396, 16421, 26533, 16392, 27130, 16397, 25173, 18331, 16442, 16400, 16449, 16444, 16391, 16386, 24001, 16400, 16392, 16474, 18452, 16396, 18926, 16412, 16385, 19327, 16385, 16476, 25268, 16647, 23248, 51782, 16673, 16965, 19753, 16396, 16421, 26533, 38263, 16741, 16641, 17917, 16673, 39448, 23790, 16397, 19912, 16641, 25544, 20134, 16671, 16647, 17586, 17655, 43569, 16393, 16453, 16393, 20464, 16412, 20464, 16401, 16393, 19766, 16453, 16393, 20464, 16394, 20464, 16393, 23323, 16393, 16477, 16454, 16477, 47129, 16393, 16458, 16393, 16445, 16442, 16415, 23965, 16401, 16407, 16444, 16445, 16395, 17187, 16604, 16393, 23323, 16393, 16477, 16454, 16477, 16704, 16647, 17585, 30736, 16674, 43569, 16393, 16458, 16393, 16704, 16647, 54218, 26335, 25597, 16673, 16647, 36818, 16395, 16742, 17393, 16641, 40929, 37551, 16661, 22551, 16673, 16604, 16393, 19766, 16393, 20464, 16412, 20464, 16391, 16403, 16397, 16403, 20464, 31334, 20464, 16400, 16397, 16404, 16392, 20464, 30070, 20464, 16400, 16399, 16445, 25296, 16403, 16445, 16397, 49388, 16396, 36305, 25258, 16672, 16647, 16966, 19075, 22278, 16763, 23954, 17655, 38430, 23903, 16396, 36305, 49471, 16397, 25173, 18331, 16442, 16400, 16450, 16444, 16391, 16386, 24001, 16400, 16392, 16474, 18452, 16396, 18926, 16412, 16385, 19327, 16385, 16476, 18937, 16641, 55284, 16673, 16647, 27317, 36261, 16397, 21821, 16604, 16405, 16396, 23944, 16460, 16396, 20487, 59956, 17366, 16673, 16604, 16402, 20464, 37708, 28222, 16398, 16401, 16399, 16399, 20464, 37708, 29614, 16958, 20610, 16665, 16709, 16647, 16966, 19075, 22278, 16734, 16641, 29620, 16673, 16604, 16393, 16471, 16393, 20464, 16412, 20464, 16401, 16399, 16399, 20464, 23944, 16460, 16397, 49388, 27326, 16958, 21969, 16809, 28231, 18602, 16672, 35523, 37388, 43017, 26683, 22262, 16815, 16647, 17092, 36818, 16674, 62742, 18444, 27024, 16809, 16647, 17711, 36818, 17655, 16641, 27280, 19278, 20838, 22339, 16397, 16772, 23903, 27326, 16955, 23160, 39975, 28474, 16815, 23020, 16671, 16931, 16604, 16393, 22867, 16393, 16398, 16393, 16470, 16393, 16395, 17187, 16604, 16393, 16470, 16393, 20464, 16412, 20464, 16405, 20464, 23944, 16460, 36423, 16671, 16647, 36818, 25597, 16445, 16442, 16415, 23965, 16401, 16408, 16444, 16445, 16397, 17119, 29781, 23903, 16396, 36305, 25258, 16809, 24025, 16647, 16702, 16477, 16400, 16401, 16477, 41318, 25594, 16397, 24001, 16397, 16604, 16400, 32184, 16673, 26416, 26684, 30247, 16396, 57497, 16966, 19075, 22278, 16397, 16604, 16393, 16393, 16448, 16393, 16393, 19568, 16396, 45892, 64257, 19521, 16674, 24284, 56504, 20610, 16673, 16641, 16604, 16401, 16405, 16399, 16396, 37708, 16396, 57497, 16966, 19075, 18435, 16397, 16772, 48576, 18089, 26078, 16641, 25669, 23870, 17415, 16647, 16796, 33060, 16391, 16400, 16400, 16400, 16392, 29386, 16674, 18494, 16396, 40599, 24749, 16966, 19075, 18435, 16397, 16772, 19255, 21434, 18740, 36423, 16671, 16604, 16404, 20464, 37708, 16397, 16604, 16393, 16393, 16449, 16393, 16393, 22273, 51782, 16673, 16965, 19753, 16396, 16421, 26533, 38263, 16741, 16641, 17917, 16673, 23790, 16397, 16772, 17586, 16769, 21715, 16809, 28593, 16673, 16647, 23703, 26683, 28338, 18676, 16397, 16604, 16393, 16393, 16450, 16393, 16393, 16702, 23978, 17957, 16673, 16647, 38430, 23903, 16396, 36305, 49471, 27317, 36261, 16397, 16604, 16393, 16393, 16451, 16393, 16393, 49388, 16396, 36305, 25258, 26335, 16604, 16391, 38703, 19354, 17015, 16673, 16702, 16477, 16400, 16401, 16477, 16392, 16715, 16641, 26416, 16604, 16401, 16405, 16399, 16396, 37708, 16396, 57497, 16966, 19075, 18435, 16767, 16641, 26683, 28338, 18676, 16673, 16604, 16404, 20464, 16460, 16435, 16397, 16604, 16393, 16393, 16452, 16393, 16393, 49388, 16396, 36305, 17585, 30736, 16604, 16391, 16393, 23323, 16393, 16477, 16454, 16477, 16392, 16674, 33405, 20570, 16604, 16391, 16393, 16459, 16393, 16477, 16451, 16477, 16392, 16672, 16966, 19075, 16397, 16604, 16393, 16393, 16453, 16393, 16393, 51855, 19354, 17015, 16673, 16702, 16477, 16400, 16401, 16477, 16767, 17476, 23703, 26683, 28338, 22262, 16582, 16582, 23236, 18331, 16442, 16400, 16451, 16444, 16391, 16386, 24001, 16400, 16392, 16474, 18452, 16396, 18926, 16412, 16385, 19327, 16385, 16476, 18937, 16641, 23850, 25258, 26335, 16604, 16391, 38703, 19354, 17015, 16673, 16702, 16477, 16400, 16401, 16477, 16392, 16673, 16641, 16604, 16401, 16405, 16399, 16396, 37708, 16396, 57497, 16966, 19075, 18435, 16767, 16667, 23703, 26683, 28338, 18676, 16673, 16604, 16404, 20464, 16460, 16435, 16395, 16944, 19757, 17308, 16671, 20519, 34407, 16758, 16647, 34025, 17873, 16397, 17008, 35954, 17160, 23903, 16396, 36305, 21686, 16704, 23975, 18568, 16647, 16773, 26533, 23790, 16673, 16604, 16443, 16477, 16400, 16397, 16399, 20464, 56288, 16397, 16772, 18354, 35954, 16964, 24396, 22547, 23903, 16396, 36305, 47682, 17415, 16647, 17142, 59956, 16397, 16772, 17585, 30736, 16673, 16647, 23903, 27326, 16604, 16391, 16393, 23323, 16393, 16477, 16454, 16477, 16392, 16704, 35265, 16815, 16647, 23790, 29620, 16604, 16391, 16393, 31137, 16453, 16393, 16395, 24483, 16672, 24502, 16397, 18331, 16442, 16400, 16451, 16444, 16391, 16386, 24001, 16400, 16392, 16474, 18452, 16396, 18926, 16412, 16385, 19327, 16385, 16476, 16392, 17655, 16604, 16393, 23323, 16393, 16477, 16454, 16477, 20464, 16412, 20464, 16393, 31137, 16453, 16393, 20464, 30070, 20464, 16393, 16471, 16393, 16445, 16442, 16415, 23965, 16402, 16399, 16444, 16395, 16442, 16415, 23965, 16402, 16400, 16444, 16445, 16397, 17544, 36310, 28474 ]
[ 0, 38194, 16604, 16474, 16386, 16466, 16400, 16476, 16582, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16582, 16582, 16853, 48827, 16762, 22820, 16398, 28580, 16396, 24066, 16652, 16642, 32995, 31133, 21846, 45174, 24128, 16804, 17097, 16672, 18334, 35109, 35781, 16850, 17027, 16672, 27100, 18155, 17616, 61631, 16674, 27242, 20637, 26108, 16604, 16442, 16415, 16463, 16877, 16397, 16399, 16399, 16405, 16402, 16402, 16406, 16407, 16396, 28135, 17067, 16400, 16444, 16397, 16772, 29304, 16673, 16762, 22820, 32995, 18466, 16672, 16647, 56680, 16673, 33349, 16396, 24066, 16652, 16642, 17181, 38455, 16673, 29921, 16450, 21886, 47729, 16954, 43441, 16604, 16402, 16604, 16391, 29182, 16426, 16402, 16392, 16395, 16674, 33349, 16396, 24066, 16652, 16642, 17177, 17333, 22131, 17099, 16671, 16647, 44714, 16395, 17187, 16728, 24473, 16741, 16641, 17055, 29893, 17662, 16715, 16647, 17470, 16453, 16674, 16700, 27246, 17797, 16673, 23642, 26570, 26513, 16672, 16647, 24261, 16673, 20432, 60199, 41013, 16767, 18462, 18821, 24507, 16604, 16442, 16415, 16463, 16877, 16397, 16399, 16399, 16405, 16402, 16402, 16406, 16407, 16396, 19089, 16455, 41552, 16400, 16444, 16397, 59314, 19831, 16807, 22130, 16721, 48827, 16762, 22820, 16398, 28580, 16396, 24066, 16652, 16642, 32995, 16704, 22009, 16715, 38409, 16673, 16647, 16852, 16713, 16919, 54385, 18887, 16949, 22561, 17065, 25240, 16745, 17166, 16672, 31932, 16465, 24329, 27029, 53047, 16604, 16442, 16415, 16463, 16877, 16397, 16399, 16399, 16405, 16402, 16402, 16406, 16407, 16396, 16427, 30522, 16400, 16444, 16395, 16604, 16442, 16415, 16463, 16877, 16397, 16399, 16399, 16405, 16402, 16402, 16406, 16407, 16396, 52316, 17615, 19626, 16400, 16444, 16397, 16875, 23065, 16395, 16647, 29304, 16673, 16762, 22820, 16398, 28580, 16396, 24066, 16652, 16642, 32995, 16734, 28937, 16721, 47115, 16796, 36851, 16402, 35264, 47682, 16673, 27029, 16674, 18206, 60463, 27100, 19487, 16604, 16391, 18311, 39290, 16392, 16672, 16647, 17959, 26763, 29980, 17731, 16604, 16442, 16415, 16463, 16877, 16397, 16399, 16399, 16405, 16402, 16402, 16406, 16407, 16396, 16440, 16661, 16400, 16444, 16395, 16604, 16442, 16415, 16463, 16877, 16397, 16399, 16399, 16405, 16402, 16402, 16406, 16407, 16396, 16434, 19877, 16400, 16444, 16397, 17674, 16647, 18814, 16673, 48827, 16762, 22820, 32995, 39188, 16815, 24316, 16673, 16852, 16713, 16919, 16701, 17816, 16672, 16852, 16713, 16919, 54385, 27100, 19487, 16671, 36942, 16673, 25240, 16745, 17166, 21002, 24472, 16395, 18919, 16397, 16582, 16582, 39591, 18887, 16949, 22561, 27100, 19487, 16604, 16391, 16420, 21210, 48641, 16392, 16395, 16944, 16769, 26552, 16815, 16647, 18887, 16949, 22561, 16767, 60463, 17386, 16604, 16391, 16420, 16392, 16604, 16404, 16397, 16404, 16671, 16799, 16406, 16397, 16404, 16395, 28994, 19696, 16673, 16852, 16713, 16919, 16701, 17816, 16674, 18616, 16793, 58577, 16396, 22574, 16821, 16642, 16674, 51548, 55943, 19134, 21348, 16604, 16391, 16421, 16454, 16453, 16392, 32995, 16715, 24316, 16673, 16811, 30483, 16397, 17513, 16769, 20821, 17796, 16671, 16703, 16922, 24124, 19359, 16671, 18206, 16799, 48641, 17032, 16671, 27029, 16799, 48641, 16672, 16811, 19130, 16604, 16442, 16415, 16463, 16877, 16397, 16399, 16399, 16405, 16402, 16402, 16406, 16407, 16396, 24952, 17112, 16400, 16444, 16395, 16604, 16442, 16415, 16463, 16877, 16397, 16399, 16399, 16405, 16402, 16402, 16406, 16407, 16396, 16435, 36570, 16400, 16444, 16397, 16799, 21210, 48641, 16807, 17687, 16785, 17028, 19629, 16671, 17882, 21691, 16671, 16816, 23720, 16676, 17014, 41008, 17065, 28486, 17139, 54748, 16395, 27742, 16721, 16873, 16769, 18040, 16672, 16641, 17731, 16673, 18907, 16665, 16852, 16713, 16919, 16701, 17816, 16395, 16944, 23294, 16641, 37552, 17731, 18242, 17032, 16721, 16673, 19700, 61850, 27029, 16799, 48641, 16397, 16711, 18961, 18077, 20332, 16721, 16799, 21210, 48641, 16721, 21398, 16647, 16799, 16396, 49661, 16761, 16642, 23273, 16604, 16391, 16393, 16418, 44831, 16400, 16393, 16392, 16958, 17914, 16671, 24448, 16671, 53047, 17135, 28486, 17139, 17165, 31289, 16980, 16873, 16955, 16992, 22140, 16734, 16647, 16778, 19808, 43441, 16604, 16391, 16433, 30263, 16392, 40582, 16966, 16401, 16406, 16405, 16402, 16401, 16604, 16442, 16415, 16463, 16877, 16397, 16399, 16399, 16405, 16402, 16402, 16406, 16407, 16396, 16430, 16781, 16466, 33285, 16400, 16444, 16397, 24423, 20825, 16674, 19165, 17123, 23129, 18155, 16396, 18933, 52354, 16674, 25341, 16395, 16674, 16647, 41008, 16799, 21210, 48641, 17123, 16703, 24283, 17453, 17801, 16671, 16641, 19700, 61850, 16852, 16713, 16919, 54385, 17731, 16672, 16647, 28486, 17139, 17165, 16674, 20781, 35106, 23557, 16673, 30880, 16671, 16816, 23720, 16675, 53047, 16397, 21604, 16799, 21210, 48641, 21398, 16647, 21554, 64923, 16673, 16852, 16713, 16919, 16701, 17816, 17789, 18657, 16403, 16395, 35485, 16905, 16395, 16674, 35438, 16401, 16395, 17259, 16852, 16713, 16919, 16701, 17816, 16396, 41792, 37732, 20671, 16715, 27029, 16799, 48641, 16769, 32157, 16785, 17875, 16767, 18229, 19415, 16672, 16799, 21210, 48641, 16604, 16442, 16415, 16463, 16877, 16397, 16399, 16399, 16405, 16402, 16402, 16406, 16407, 16396, 24952, 17112, 16400, 16444, 16395, 16604, 16442, 16415, 16463, 16877, 16397, 16399, 16399, 16405, 16402, 16402, 16406, 16407, 16396, 16435, 36570, 16400, 16444, 16395, 27742, 16721, 17213, 19487, 17123, 25450, 16641, 23674, 26525, 56251, 16715, 16852, 16713, 16919, 16701, 17816, 16397, 31238, 17032, 16641, 19700, 61850, 16852, 16713, 16919, 54385, 19453, 17731, 16395, 16799, 21210, 48641, 18560, 16671, 16703, 16672, 19001, 56484, 19619, 16395, 18715, 35846, 16914, 24435, 16815, 16641, 56484, 18155, 19971, 16672, 16647, 18887, 16949, 22561, 16767, 16647, 23572, 16396, 63403, 20041, 16397, 17513, 21398, 18334, 50694, 34439, 16715, 16647, 41473, 34782, 16604, 16391, 19725, 16392, 16674, 25240, 16745, 17166, 16397, 16772, 23590, 37552, 17731, 16673, 16799, 21210, 48641, 16704, 20781, 19570, 16641, 18723, 23710, 19632, 16673, 16647, 18907, 16665, 17731, 16395, 16944, 17123, 21479, 16914, 16852, 16713, 16919, 16701, 17816, 19056, 16604, 16442, 16415, 16463, 16877, 16397, 16399, 16399, 16405, 16402, 16402, 16406, 16407, 16396, 43181, 54479, 16400, 16444, 16395, 16604, 16442, 16415, 16463, 16877, 16397, 16399, 16399, 16405, 16402, 16402, 16406, 16407, 16396, 47919, 16400, 16444, 16397, 28224, 59425, 16704, 17027, 28056, 16672, 18206, 16799, 48641, 16395, 16734, 17476, 19415, 16673, 48827, 16762, 22820, 32995, 22436, 26592, 40848, 16672, 38409, 44654, 16604, 16442, 16415, 16463, 16877, 16397, 16399, 16399, 16405, 16402, 16402, 16406, 16407, 16396, 20872, 17795, 16470, 49407, 16400, 16444, 16395, 16604, 16442, 16415, 16463, 16877, 16397, 16399, 16399, 16405, 16402, 16402, 16406, 16407, 16396, 26560, 17768, 16400, 16444, 16397, 16582, 16582, 17507, 16807, 17178, 28020, 16647, 18814, 16673, 48827, 16762, 22820, 32995, 16672, 27029, 16799, 21210, 48641, 16734, 16647, 17231, 16673, 17785, 16396, 16460, 21511, 18332, 41338, 16674, 51425, 16673, 16647, 33349, 16396, 24066, 16652, 16642, 23273, 16397, 19921, 24825, 16734, 17038, 18722, 28101, 16672, 18206, 16799, 48641, 16604, 16442, 16415, 16463, 16877, 16397, 16399, 16399, 16405, 16402, 16402, 16406, 16407, 16396, 27744, 16456, 16400, 16444, 16395, 17038, 17586, 21177, 16721, 48827, 16762, 22820, 32995, 42451, 16659, 16647, 18171, 16396, 64523, 16666, 16673, 16799, 21210, 48641, 16734, 18907, 16665, 16852, 16713, 16919, 16701, 17816, 16741, 17204, 16741, 35264, 25240, 16745, 17166, 38409, 17490, 16672, 16799, 21210, 48641, 16674, 16672, 16647, 17498, 16706, 28194, 16725, 27029, 57225, 16397, 16582, 16582, 65433, 16674, 33486, 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, 16582, 16582, 16428, 16880, 16604, 16474, 16386, 16466, 16401, 16448, 16476, 16582, 16396, 16396, 16396, 16396, 16582, 16582, 16433, 19445, 16416, 16401, 16405, 16396, 16393, 16459, 16861, 16441, 16393, 16395, 16604, 16393, 28580, 16396, 24066, 16652, 16642, 16393, 16604, 16445, 18809, 16398, 18809, 16445, 16395, 16674, 16876, 19634, 16396, 16393, 33450, 17528, 16393, 27029, 33597, 16604, 16391, 16853, 23582, 34791, 16392, 16958, 26447, 16709, 16647, 16738, 16405, 16398, 16400, 16401, 16408, 28448, 21515, 16397, 44578, 53047, 16958, 23980, 16767, 16799, 16405, 16397, 16404, 16395, 16734, 34456, 16673, 16647, 17386, 16709, 16944, 16647, 54173, 24714, 16763, 27024, 17255, 28727, 16799, 16399, 16397, 16404, 16397, 16727, 16880, 42184, 16661, 16647, 16876, 19634, 16396, 16393, 33450, 17528, 16393, 17333, 50559, 16958, 29301, 16734, 16604, 16393, 28580, 16396, 24066, 16652, 16642, 16393, 16604, 16445, 18809, 16398, 18809, 16445, 25878, 16397, 22646, 16876, 19634, 16396, 16393, 33450, 17528, 16393, 16674, 16604, 16393, 28580, 16396, 24066, 16652, 16642, 16393, 16604, 16445, 18809, 16398, 18809, 16445, 20716, 17189, 16958, 21766, 16809, 38331, 19335, 16741, 20101, 21216, 16604, 16442, 16415, 16463, 16877, 16397, 16399, 16399, 16405, 16402, 16402, 16406, 16407, 16396, 32405, 16920, 16400, 16444, 16397, 19736, 18077, 16763, 22782, 16809, 16647, 32267, 21621, 16674, 23890, 21217, 16673, 29366, 17931, 16468, 18059, 16604, 16391, 35788, 16654, 27928, 16409, 16711, 16401, 16403, 16396, 16399, 16402, 16407, 16396, 16400, 16392, 16397, 16582, 16582, 16420, 21210, 21066, 27971, 16604, 16474, 16386, 16466, 16401, 16449, 16476, 16582, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16582, 16582, 19315, 16799, 21210, 21066, 20329, 17405, 16672, 16647, 17875, 18077, 16958, 25169, 20916, 16815, 16799, 16405, 16397, 16404, 18887, 16949, 22561, 16466, 16673, 16687, 23965, 16395, 52656, 16416, 16401, 16405, 16396, 16393, 16459, 16861, 16441, 16393, 16395, 16785, 16604, 16393, 28580, 16396, 24066, 16652, 16642, 16393, 16604, 16445, 18809, 16398, 18809, 16445, 25878, 16734, 16641, 26252, 19288, 16673, 16641, 18197, 20101, 21216, 16604, 16442, 16415, 16463, 16877, 16397, 16399, 16399, 16405, 16402, 16402, 16406, 16407, 16396, 16435, 36570, 16400, 16444, 16395, 16604, 16442, 16415, 16463, 16877, 16397, 16399, 16399, 16405, 16402, 16402, 16406, 16407, 16396, 21251, 16973, 17078, 16400, 16444, 16397, 16875, 21695, 16395, 27894, 18887, 16949, 22561, 16466, 16958, 47745, 16674, 26815, 16895, 16709, 16641, 20013, 16646, 22450, 16672, 16799, 21210, 21066, 22767, 16604, 16443, 16442, 16419, 16748, 17100, 45188, 16443, 16390, 16466, 26252, 36008, 16443, 16390, 16466, 22767, 16604, 16391, 33021, 20321, 16392, 16396, 16421, 16400, 16401, 23858, 16604, 16401, 16399, 16388, 60738, 16833, 19641, 16768, 48090, 16797, 16604, 16391, 16426, 28271, 16395, 31128, 16654, 27909, 16392, 16395, 16604, 16401, 42745, 16790, 16396, 21023, 16698, 27957, 16395, 16604, 16400, 42745, 35981, 26048, 17011, 16469, 16758, 16395, 16604, 16400, 30070, 53648, 17975, 47944, 34226, 32245, 16395, 16674, 16604, 16399, 16397, 16400, 42745, 33349, 16396, 17043, 52584, 16462, 17078, 32305, 16443, 16444, 51019, 16734, 39173, 16642, 16711, 16604, 16391, 16400, 16399, 27490, 16398, 18953, 16395, 57388, 19526, 16717, 16392, 16395, 16773, 16454, 16453, 16401, 16604, 16391, 16404, 27490, 16398, 18953, 16395, 57388, 19526, 16717, 16392, 16395, 16674, 18126, 24011, 16408, 16402, 16408, 16604, 16391, 16400, 16399, 40118, 16428, 16395, 48856, 16396, 54676, 22837, 16392, 16397, 16772, 19938, 16673, 16604, 16401, 16399, 40118, 16428, 23605, 20678, 16408, 16408, 16399, 16401, 16400, 16674, 16604, 16399, 16397, 16400, 40118, 16428, 23942, 16399, 16402, 16401, 16404, 16408, 16399, 16400, 16709, 16647, 19487, 16958, 28152, 16397, 17544, 16647, 28185, 16673, 16799, 21210, 48641, 26552, 16815, 18494, 19487, 16395, 27894, 18887, 16949, 22561, 16466, 16958, 44741, 16734, 17590, 17421, 16642, 16396, 18525, 22238, 16604, 16391, 16429, 53897, 18017, 16392, 16767, 16604, 16402, 16406, 21896, 16418, 16715, 16604, 16400, 16399, 19109, 16674, 17177, 57058, 16895, 17065, 18494, 19487, 16809, 27470, 17181, 16641, 25160, 20983, 24816, 16397, 16772, 57058, 16895, 18887, 16949, 22561, 19487, 16958, 62159, 16709, 16641, 20013, 16646, 22450, 16672, 17910, 16396, 20581, 30904, 16734, 16785, 17714, 16604, 16400, 16399, 40118, 16428, 16966, 16401, 16406, 16405, 16402, 16401, 16604, 16391, 16438, 24668, 16392, 16674, 16604, 16401, 16404, 40118, 16428, 18126, 24011, 16408, 16402, 16408, 16715, 16647, 24483, 18032, 16397, 45382, 16958, 22184, 16734, 16604, 16403, 16388, 23663, 59277, 54203, 16672, 48649, 16396, 46784, 18076, 55348, 16604, 16391, 16431, 21371, 16392, 16715, 43369, 16673, 63351, 27689, 16649, 16954, 19962, 16734, 27617, 16689, 30178, 44207, 29011, 16723, 17997, 16397, 16582, 16582, 44751, 26028, 31690, 16396, 41070, 26869, 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, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16582, 16582, 31131, 31364, 16763, 35265, 16674, 49430, 16815, 16799, 21210, 48641, 16734, 16647, 17231, 16673, 26009, 16676, 16723, 16396, 27796, 16687, 21553, 16796, 16604, 16391, 16429, 53897, 18017, 16392, 16674, 16763, 35024, 16671, 31690, 16734, 16647, 17231, 16673, 16641, 19568, 62038, 63338, 63263, 20196, 19798, 29699, 16604, 16391, 20323, 19844, 46792, 55373, 16392, 16397, 23118, 16396, 18489, 38331, 19335, 16763, 20888, 16734, 16667, 16711, 22477, 18312, 17502, 16604, 16406, 16404, 16399, 16399, 23118, 16396, 18489, 38331, 17434, 16674, 22496, 39118, 26062, 20779, 38331, 23397, 38903, 16604, 16391, 20323, 19844, 46792, 55373, 16392, 16397, 16772, 33620, 16673, 17492, 39438, 16763, 43755, 16809, 16647, 18636, 16673, 16604, 16400, 16407, 16434, 16792, 27796, 16674, 25722, 16809, 16647, 19749, 27164, 18197, 16397, 37029, 16673, 38331, 58767, 16769, 18125, 16709, 19181, 16397, 16582, 16582, 19439, 23689, 17080, 24926, 16395, 38702, 17663, 18350, 37362, 16395, 16674, 38702, 16462, 30448, 32850, 63182, 16604, 16474, 16386, 16466, 16401, 16451, 16476, 16582, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396 ]
[ 0, 16582, 16406, 16402, 16793, 16397, 16438, 16397, 16401, 16451, 16604, 16404, 16399, 16604, 16391, 16400, 16408, 16404, 16404, 16392, 16582, 57053, 17643, 33776, 19890, 16395, 33195, 16673, 20019, 16719, 17645, 18837, 16395, 16667, 16711, 17825, 23302, 16395, 16674, 16582, 57053, 17643, 43905, 16395, 33195, 16673, 30152, 16719, 17645, 18837, 16395, 16667, 16711, 17825, 23302, 16395, 18501, 22126, 16659, 16395, 16582, 16469, 16397, 16582, 16421, 17879, 41778, 16435, 58780, 24460, 23605, 20146, 20260, 16673, 54390, 17215, 16395, 27471, 16395, 59167, 16795, 16397, 16582, 19084, 16397, 16604, 16403, 16407, 16406, 16407, 16401, 16397, 16582, 63997, 19758, 16673, 27471, 16397, 16582, 31460, 16604, 16400, 16404, 16395, 16604, 16400, 16408, 16404, 16404, 16397, 16582, 16393, 16404, 16400, 48630, 16739, 16397, 40929, 16674, 23085, 16751, 16397, 18609, 16723, 16473, 16395, 16830, 19013, 23739, 23091, 16395, 16715, 57254, 16397, 16582, 16435, 16720, 16656, 16751, 16397, 41027, 16395, 16739, 27115, 16395, 16674, 61466, 16395, 40884, 16604, 16389, 58819, 16395, 16830, 19013, 23739, 23091, 16395, 16715, 16984, 22126, 16659, 16397, 16582, 16427, 18016, 25950, 16395, 23234, 16397, 16582, 17635, 23656, 25290, 16667, 18865, 16672, 25807, 16395, 19812, 16809, 58536, 43905, 16395, 42887, 16673, 20019, 16719, 17645, 18837, 16674, 30152, 16719, 17645, 18837, 16395, 17647, 16647, 30212, 54390, 17215, 41175, 20264, 16395, 25730, 16647, 42887, 25330, 16671, 16807, 16888, 56848, 16390, 44279, 35022, 19441, 16641, 31445, 17654, 16672, 16647, 56848, 16390, 16604, 16400, 16402, 16403, 44331, 20485, 16671, 16647, 30212, 20330, 16395, 18910, 16671, 16641, 35378, 17417, 22510, 16672, 17031, 56848, 16395, 34343, 16674, 17280, 24680, 16395, 16674, 20071, 16671, 16647, 19329, 22671, 16665, 16672, 16647, 56848, 16741, 17647, 16647, 30212, 16395, 19028, 16647, 27262, 16721, 16604, 16391, 16400, 16392, 17031, 56848, 16958, 17714, 23454, 21336, 21672, 16671, 31208, 17031, 44279, 16674, 16604, 16391, 16401, 16392, 17031, 44279, 16763, 21715, 16815, 17031, 56848, 16809, 16647, 22271, 16673, 61583, 21449, 16809, 16647, 35191, 16674, 16647, 28076, 16673, 16647, 19605, 16673, 51302, 16673, 17031, 30212, 20330, 16397, 16772, 21459, 19124, 17494, 16721, 16647, 21172, 17035, 42479, 16647, 60275, 21336, 21672, 16674, 16721, 16914, 44279, 16763, 21715, 16809, 16647, 22271, 16673, 61583, 21449, 16395, 16674, 23373, 16641, 48032, 16715, 16647, 44320, 16397, 16772, 30212, 43044, 16397, 16582, 16853, 19126, 19423, 16709, 16811, 23656, 16769, 16604, 16391, 16400, 16392, 18515, 16647, 16984, 22126, 16659, 28569, 16647, 27422, 16673, 31040, 16647, 23574, 19744, 16673, 21336, 21672, 16395, 16604, 16391, 16401, 16392, 18515, 16641, 33915, 18774, 29900, 16673, 17274, 19927, 16741, 16671, 20542, 19028, 16647, 57254, 16998, 27422, 16673, 23255, 16734, 19130, 16671, 16647, 18385, 16673, 61583, 21449, 16395, 16674, 16980, 17274, 27422, 16763, 28065, 20542, 19028, 16647, 57254, 16395, 18515, 16647, 57254, 16872, 17820, 16674, 28569, 16721, 27422, 16395, 16674, 16604, 16391, 16402, 16392, 18515, 16998, 20341, 16763, 22486, 16672, 43041, 30013, 16673, 16647, 21172, 17035, 16390, 24615, 16709, 16647, 27262, 16673, 31344, 16397, 16582, 23586, 16719, 17645, 18837, 16674, 16888, 19778, 30152, 16395, 16647, 21172, 17035, 16673, 16647, 44279, 16672, 32408, 16395, 16958, 16604, 16406, 16402, 16674, 16604, 16406, 16405, 17202, 16673, 18702, 16395, 22358, 16395, 16767, 16647, 17005, 16673, 16647, 27460, 16673, 16647, 44279, 16397, 17513, 16955, 16992, 21555, 16715, 16604, 16403, 16399, 17202, 16395, 16674, 17028, 17968, 16958, 19893, 16741, 16647, 18710, 16673, 16914, 22081, 16397, 21861, 17097, 18399, 31793, 16958, 20019, 16390, 16466, 16917, 20172, 16395, 16674, 30152, 16390, 16466, 16917, 22120, 16397, 20019, 16955, 16992, 16641, 34677, 16858, 16888, 17417, 16674, 16733, 16674, 30152, 21611, 16709, 16674, 20485, 16665, 16641, 16604, 16400, 16401, 16399, 44331, 20485, 20186, 22051, 17142, 20990, 42840, 16673, 54390, 17215, 16395, 27471, 16397, 17513, 17027, 23157, 16647, 17446, 22510, 16672, 32408, 16395, 17031, 20485, 17255, 60564, 16672, 22005, 16734, 17726, 48987, 21139, 24345, 16647, 21522, 16674, 23943, 28847, 16673, 16647, 20485, 16674, 16641, 40097, 17262, 16673, 17210, 16647, 43300, 29438, 30312, 16397, 16875, 18150, 16395, 16873, 23157, 16991, 41276, 16395, 20485, 37302, 16395, 19694, 22982, 16674, 17995, 16604, 16393, 16404, 16401, 29097, 16395, 17961, 16641, 18804, 18020, 16673, 22051, 16604, 16387, 16402, 16399, 16395, 16399, 16399, 16399, 16397, 16582, 56710, 16955, 16992, 16641, 19154, 16673, 30212, 20330, 17259, 17202, 16395, 20227, 16734, 16647, 17005, 17049, 16763, 16672, 17362, 17613, 16674, 24959, 18015, 18810, 16604, 16402, 16400, 16395, 16604, 16400, 16408, 16404, 16402, 16395, 22051, 18817, 18355, 17135, 16647, 44279, 16672, 32408, 16763, 29412, 16397, 17614, 37005, 17319, 24387, 20330, 16674, 16763, 16809, 16968, 17304, 19978, 16641, 18068, 16833, 19154, 16397, 20019, 16719, 17645, 18837, 17027, 24387, 16811, 20330, 16395, 16850, 17132, 16804, 18222, 37119, 16734, 16728, 16741, 16641, 19154, 18015, 19160, 16604, 16405, 16395, 16604, 16400, 16408, 16404, 16401, 16397, 16582, 22212, 16397, 48800, 16711, 16397, 62297, 26427, 16395, 18702, 16604, 16406, 16399, 16395, 16641, 41175, 20264, 23623, 17608, 16604, 16400, 16408, 16399, 16406, 16395, 16767, 16647, 34655, 16673, 30212, 20330, 16395, 18112, 16891, 16673, 25846, 16674, 23013, 16641, 17322, 16741, 17073, 21268, 35191, 16397, 17046, 22841, 16672, 54390, 17215, 16672, 18850, 16395, 16604, 16400, 16408, 16404, 16400, 16395, 16674, 20726, 16741, 17274, 35191, 18015, 16647, 19979, 16673, 16604, 16400, 16408, 16404, 16402, 16397, 33269, 27797, 16672, 54390, 17215, 16395, 18958, 16397, 62297, 26427, 16395, 22963, 16671, 18222, 55507, 16734, 16888, 39941, 16395, 18047, 16767, 16647, 16719, 17645, 18837, 17616, 16672, 18936, 16395, 16604, 16400, 16408, 16404, 16400, 16395, 16674, 19262, 55507, 16734, 20019, 16674, 30152, 16719, 17645, 18837, 16397, 17664, 24601, 18015, 20019, 31132, 16641, 45254, 50618, 16898, 16709, 18936, 16604, 16400, 16401, 16395, 16604, 16400, 16408, 16404, 16401, 16395, 18958, 16397, 62297, 26427, 17366, 18613, 27286, 16767, 16647, 16719, 17645, 18837, 17616, 16931, 18266, 16641, 17634, 16397, 16711, 24322, 18774, 20140, 17415, 17007, 16397, 17813, 16888, 17711, 16785, 18848, 18536, 16671, 16647, 16719, 17645, 18837, 17616, 16395, 16672, 19137, 16785, 19118, 16395, 16604, 16400, 16408, 16404, 16400, 16395, 16733, 16955, 16641, 22094, 16734, 20019, 16672, 16647, 20485, 25867, 17560, 16944, 20019, 17031, 16395, 17714, 37216, 19803, 16815, 18958, 16397, 62297, 26427, 16409, 16604, 16385, 16424, 17137, 16671, 17882, 16604, 16387, 16401, 16399, 16395, 16399, 16399, 16399, 16671, 16647, 18843, 16673, 16641, 17009, 20330, 16674, 16728, 17724, 16703, 16709, 16647, 31179, 16397, 16385, 18958, 16397, 62297, 26427, 30898, 16721, 16647, 18930, 16763, 16641, 17238, 21942, 17796, 16715, 17107, 16671, 17754, 16672, 18282, 16395, 16674, 43260, 17107, 16397, 16582, 17071, 19293, 16395, 16604, 16400, 16408, 16404, 16400, 16395, 17415, 21245, 16674, 17360, 20812, 16390, 16466, 19581, 16395, 20019, 18167, 16671, 16647, 19694, 16734, 16944, 16733, 17132, 17598, 16672, 54390, 17215, 16674, 16986, 23736, 16671, 16888, 56727, 16641, 18344, 16715, 16604, 16387, 16407, 16399, 16399, 16734, 16647, 19978, 16728, 16763, 22696, 16741, 16641, 23103, 16671, 16647, 54390, 17215, 41175, 20264, 18843, 18648, 16395, 16944, 18344, 16763, 29856, 19678, 17030, 16671, 16647, 20330, 64649, 16397, 17813, 19986, 16395, 19160, 16604, 16405, 16395, 16604, 16400, 16408, 16404, 16401, 16395, 16641, 26574, 16715, 16647, 29784, 16673, 17009, 18319, 16763, 22546, 16741, 17015, 16673, 16647, 19607, 20330, 18224, 16395, 16767, 16944, 17005, 20019, 19151, 28839, 48651, 16674, 16763, 19151, 17065, 16647, 26052, 16673, 16647, 20330, 16397, 17813, 16811, 23486, 18958, 16397, 62297, 26427, 17366, 16641, 17726, 19978, 16815, 16647, 24738, 32497, 23370, 19237, 16721, 16641, 23103, 16955, 16992, 17366, 16671, 16647, 18843, 18648, 16673, 16647, 20330, 16809, 18667, 16397, 16674, 24356, 16397, 16719, 17645, 18837, 16397, 26879, 23370, 19237, 16647, 19168, 18636, 16395, 16733, 22039, 16721, 16647, 23103, 16763, 26253, 16397, 35041, 17135, 16811, 18958, 16397, 62297, 26427, 16674, 16647, 20330, 64649, 18047, 16767, 16647, 16719, 17645, 18837, 17616, 16671, 21398, 16647, 20330, 16390, 16466, 32335, 16673, 16647, 23103, 16397, 17813, 16811, 23486, 20019, 22039, 16647, 23103, 16763, 16604, 16385, 19676, 16641, 31702, 23572, 16674, 16733, 16955, 17653, 19306, 16397, 16385, 18958, 16397, 62297, 26427, 16390, 17726, 26450, 16763, 30094, 16671, 16647, 16719, 17645, 18837, 16390, 16466, 23155, 16671, 19825, 39707, 16395, 16674, 18242, 16709, 17014, 16647, 16719, 17645, 26428, 17366, 16641, 18613, 23103, 16673, 16604, 16387, 16403, 16399, 16399, 16671, 16914, 20330, 16395, 16873, 29216, 16721, 16914, 39513, 16395, 22146, 18418, 24804, 16395, 24104, 16888, 18344, 16715, 16721, 18636, 16671, 16647, 20330, 17714, 16998, 25659, 16721, 16647, 16719, 17645, 26428, 16958, 16647, 20492, 35072, 16395, 16674, 16715, 16641, 17005, 16647, 20330, 22816, 16728, 16763, 16641, 23103, 16815, 16647, 39513, 16397, 16582, 17071, 16647, 22346, 16673, 16604, 16400, 16408, 16404, 16401, 16395, 18211, 17213, 27968, 16671, 16647, 18843, 18648, 16395, 16647, 20330, 16390, 16466, 51302, 21487, 16671, 64744, 16913, 16647, 20330, 26052, 16671, 46363, 18515, 16986, 16763, 16998, 33282, 16715, 16647, 18843, 16673, 16641, 17009, 20330, 18843, 16397, 16875, 21032, 16734, 16811, 64744, 16913, 16395, 18958, 16397, 62297, 26427, 16674, 16762, 16397, 16830, 16397, 18640, 23358, 22298, 16395, 28076, 16673, 16647, 19605, 16673, 51302, 16673, 16647, 20330, 16395, 21817, 16767, 16647, 16719, 17645, 18837, 17616, 16671, 19724, 20019, 16397, 17828, 25020, 16811, 18536, 30152, 41190, 16409, 16604, 16385, 16434, 16397, 16799, 16397, 16763, 16859, 22252, 16395, 16733, 18151, 17007, 16709, 16811, 23140, 16395, 16604, 16447, 20201, 16390, 16466, 17799, 16641, 20330, 16395, 16390, 16385, 16850, 16873, 24608, 17107, 16721, 16647, 18048, 18833, 16390, 16467, 18125, 16674, 16647, 18723, 39941, 17796, 16728, 18833, 16390, 16467, 39273, 16397, 24356, 16397, 16719, 17645, 18837, 17027, 41190, 16709, 16917, 23486, 17560, 16811, 18472, 20019, 17031, 16671, 16968, 16409, 16604, 16385, 56710, 16395, 25635, 16742, 19905, 18248, 16395, 16980, 16742, 16807, 16641, 17687, 16922, 17032, 16742, 17109, 16395, 16742, 16868, 17646, 16728, 16709, 16647, 18843, 18648, 16395, 16385, 16674, 16721, 16986, 16763, 18655, 17966, 16715, 16991, 18355, 19421, 16671, 16647, 27460, 16673, 16647, 44279, 16672, 32408, 16397, 16582, 39251, 16395, 16709, 18936, 16604, 16400, 16401, 16395, 16604, 16400, 16408, 16404, 16401, 16395, 20019, 25196, 16641, 45254, 50618, 16898, 16944, 21099, 16641, 28121, 60576, 16673, 32756, 16673, 16888, 18370, 16674, 21099, 17107, 16671, 16703, 39196, 16671, 16888, 19741, 16715, 16641, 18472, 16804, 20057, 22184, 16809, 16647, 30420, 16397, 20019, 16390, 16466, 19902, 20249, 22818, 16741, 17005, 18167, 16709, 16674, 16733, 16763, 17914, 16671, 17920, 16672, 16641, 24455, 22084, 16395, 16674, 18242, 16709, 16763, 17914, 16671, 16969, 16709, 16888, 19531, 16674, 33398, 16674, 48207, 16395, 16674, 17363, 18242, 16709, 16763, 17914, 16671, 18623, 16931, 16809, 39298, 16674, 16604, 16393, 16404, 16402, 27708, 16709, 40913, 16674, 16977, 23060, 16674, 17714, 18741, 23341, 16815, 18777, 16397, 17813, 19118, 16604, 16401, 16407, 16395, 16604, 16400, 16408, 16404, 16401, 16395, 17910, 17897, 17135, 16647, 44279, 16763, 29412, 16395, 20019, 17132, 18623, 16815, 16647, 36737, 25867, 16671, 16647, 18287, 16397, 18662, 17329, 16647, 44279, 16763, 29412, 16395, 16733, 16763, 17914, 16671, 16703, 19958, 16672, 16647, 17141, 28428, 16673, 16888, 17616, 16395, 44305, 17131, 16647, 24612, 18089, 16397, 21604, 16888, 45254, 50618, 16898, 16955, 22499, 16888, 19629, 16671, 17966, 56648, 16395, 16733, 23611, 16888, 17259, 24178, 16395, 16763, 17914, 16671, 16674, 17132, 22201, 16888, 17459, 16672, 51182, 16395, 17120, 19481, 19126, 16809, 19585, 16674, 17028, 23707, 16395, 16674, 16809, 22907, 16674, 47833, 16763, 17914, 16671, 20251, 16709, 27788, 16734, 16888, 24178, 16674, 20698, 17120, 17190, 19204, 23999, 16671, 17007, 16397, 18713, 24178, 19618, 16888, 29265, 16395, 16888, 20485, 39393, 16674, 16914, 39640, 16395, 18295, 17719, 17797, 18659, 16395, 16888, 42887, 16395, 58536, 43905, 16395, 16674, 24356, 16397, 43905, 16395, 16674, 18958, 16397, 62297, 26427, 16395, 24356, 16397, 62297, 26427, 16395, 16762, 16397, 16830, 16397, 18640, 23358, 22298, 16395, 16674, 16762, 16397, 16830, 16397, 18640, 23358, 22298, 16390, 16466, 20803, 16396, 16642, 16396, 23098, 16395, 61215, 16831, 18640, 23358, 22298, 16395, 17154, 16858, 16673, 21445, 41190, 16672, 16811, 21459, 16397, 16582, 16428, 17037, 16831, 18640, 23358, 22298, 16395, 16929, 20232, 16671, 16647, 54390, 17215, 18205, 16672, 16604, 16400, 16408, 16403, 16408, 19028, 16968, 22081, 16671, 52005, 17456, 18640, 23358, 22298, 16395, 16955, 17579, 18215, 16785, 19241, 16673, 16647, 16719, 17645, 26428, 18015, 20019, 16390, 16466, 48651, 16709, 19160, 16604, 16405, 16395, 16604, 16400, 16408, 16404, 16401, 16395, 16709, 16944, 23486, 20019, 16674, 30152, 16958, 21766, 16741, 18667, 16397, 16674, 24356, 16397, 16719, 17645, 18837, 16397, 16875, 18810, 16395, 16604, 16400, 16408, 16404, 16401, 16395, 17049, 19262, 23421, 55507, 16734, 17007, 16397, 18073, 18958, 16397, 62297, 26427, 16390, 34655, 17049, 28950, 17107, 16674, 24356, 16397, 62297, 26427, 16671, 16647, 16719, 17645, 18837, 17616, 16715, 16647, 20380, 16673, 19034, 16968, 20213, 16463, 16674, 26480, 21694, 16678, 59983, 16671, 20019, 16395, 17049, 17255, 16667, 29269, 32759, 16397, 28671, 16811, 18536, 16395, 61215, 16831, 16390, 16466, 21065, 16767, 16647, 16719, 17645, 18837, 17616, 19262, 16922, 27827, 16674, 16641, 22737, 29740, 17415, 30152, 16674, 61215, 16831, 20140, 17135, 20019, 16390, 16466, 29075, 16395, 17560, 16647, 18472, 16815, 18936, 16604, 16400, 16401, 16671, 19118, 16604, 16401, 16403, 16395, 16604, 16400, 16408, 16404, 16401, 16397, 30152, 18143, 18047 ]
[ 0, 38194, 16582, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16582, 16582, 18879, 16771, 16642, 16704, 16641, 40961, 16452, 16856, 16396, 22837, 22036, 16395, 16944, 16704, 23693, 43601, 17749, 16815, 17334, 34784, 16674, 53318, 16672, 23304, 16604, 16391, 16442, 16415, 16449, 16400, 16396, 16658, 16396, 16403, 16399, 16396, 16399, 16405, 16396, 16402, 16402, 16408, 16401, 16444, 16396, 16396, 16442, 16415, 16449, 16402, 16396, 16658, 16396, 16403, 16399, 16396, 16399, 16405, 16396, 16402, 16402, 16408, 16401, 16444, 16392, 16397, 16999, 16704, 19970, 16734, 33167, 16674, 51868, 16864, 50586, 17413, 16604, 16391, 16442, 16415, 16449, 16403, 16396, 16658, 16396, 16403, 16399, 16396, 16399, 16405, 16396, 16402, 16402, 16408, 16401, 16444, 16396, 16396, 16442, 16415, 16449, 16404, 16396, 16658, 16396, 16403, 16399, 16396, 16399, 16405, 16396, 16402, 16402, 16408, 16401, 16444, 16392, 16397, 28655, 21098, 16642, 19415, 16769, 25402, 16671, 16703, 19800, 16672, 18244, 20053, 18873, 19739, 16734, 21374, 24758, 16395, 17789, 17700, 61851, 19848, 28625, 20053, 16395, 51775, 16395, 60791, 16395, 23665, 16674, 56948, 20428, 20053, 16395, 16674, 51868, 57934, 16604, 16391, 16442, 16415, 16449, 16405, 16396, 16658, 16396, 16403, 16399, 16396, 16399, 16405, 16396, 16402, 16402, 16408, 16401, 16444, 16396, 16396, 16442, 16415, 16449, 16400, 16401, 16396, 16658, 16396, 16403, 16399, 16396, 16399, 16405, 16396, 16402, 16402, 16408, 16401, 16444, 16392, 16397, 18042, 16771, 16642, 16704, 19570, 16671, 16703, 16641, 18813, 21348, 16715, 23665, 20053, 16604, 16391, 16442, 16415, 16449, 16408, 16396, 16658, 16396, 16403, 16399, 16396, 16399, 16405, 16396, 16402, 16402, 16408, 16401, 16444, 16395, 16442, 16415, 16449, 16400, 16402, 16396, 16658, 16396, 16403, 16399, 16396, 16399, 16405, 16396, 16402, 16402, 16408, 16401, 16444, 16392, 16674, 33742, 37472, 16673, 20062, 31462, 16673, 17700, 61851, 19848, 28625, 20053, 16395, 51775, 16674, 60791, 20053, 16604, 16391, 16442, 16415, 16449, 16405, 16396, 16658, 16396, 16403, 16399, 16396, 16399, 16405, 16396, 16402, 16402, 16408, 16401, 16444, 16396, 16396, 16442, 16415, 16449, 16407, 16396, 16658, 16396, 16403, 16399, 16396, 16399, 16405, 16396, 16402, 16402, 16408, 16401, 16444, 16392, 16397, 16999, 16704, 16667, 21191, 62531, 21348, 16673, 52078, 41880, 16666, 46264, 17139, 25113, 16642, 20740, 16604, 16391, 16442, 16415, 16449, 16404, 16396, 16658, 16396, 16403, 16399, 16396, 16399, 16405, 16396, 16402, 16402, 16408, 16401, 16444, 16392, 16397, 18042, 16771, 16642, 16843, 23129, 38398, 20053, 18155, 36793, 17181, 16647, 27689, 16649, 16699, 18161, 16642, 23311, 16723, 16604, 16402, 43441, 16604, 16391, 31164, 16402, 16426, 16392, 16398, 57256, 43441, 16738, 32995, 31133, 16672, 18206, 38398, 20053, 18155, 20329, 21195, 16396, 16402, 16674, 58629, 16396, 16400, 16403, 16404, 16604, 16391, 16442, 16415, 16449, 16400, 16403, 16396, 16658, 16396, 16403, 16399, 16396, 16399, 16405, 16396, 16402, 16402, 16408, 16401, 16444, 16392, 16397, 16582, 16582, 21925, 16395, 17154, 16673, 16647, 19074, 19831, 17097, 25402, 16647, 24426, 17415, 33651, 16785, 30285, 21098, 16642, 16674, 55861, 20122, 16397, 44026, 20369, 23975, 16647, 17743, 16673, 21098, 16642, 20825, 16672, 20053, 32113, 16395, 17199, 17891, 16728, 16704, 17827, 17204, 23954, 16674, 29242, 16672, 28568, 20053, 16397, 34513, 20369, 25402, 16641, 18846, 24734, 16673, 21098, 16642, 16672, 16647, 19546, 16763, 25402, 16672, 17975, 16396, 29702, 18155, 28568, 20053, 16604, 16391, 16429, 21066, 21078, 16392, 18873, 19739, 16734, 16647, 24758, 16604, 16391, 16442, 16415, 16449, 16400, 16404, 16396, 16658, 16396, 16403, 16399, 16396, 16399, 16405, 16396, 16402, 16402, 16408, 16401, 16444, 16396, 16396, 16442, 16415, 16449, 16400, 16406, 16396, 16658, 16396, 16403, 16399, 16396, 16399, 16405, 16396, 16402, 16402, 16408, 16401, 16444, 16392, 16397, 18483, 16673, 16647, 20369, 29998, 21098, 16642, 20825, 16672, 16647, 34146, 18124, 16673, 28568, 20053, 24588, 16674, 17975, 16396, 50818, 19599, 16809, 24813, 17663, 18350, 37362, 43369, 16672, 16604, 16400, 16399, 19140, 16604, 16391, 16442, 16415, 16449, 16400, 16406, 16396, 16658, 16396, 16403, 16399, 16396, 16399, 16405, 16396, 16402, 16402, 16408, 16401, 16444, 16392, 16397, 23638, 22130, 16721, 19546, 21098, 16642, 19415, 16958, 18655, 17415, 20053, 17585, 16674, 17975, 16396, 50818, 17585, 16604, 16391, 16442, 16415, 16449, 16400, 16407, 16396, 16658, 16396, 16403, 16399, 16396, 16399, 16405, 16396, 16402, 16402, 16408, 16401, 16444, 16392, 16397, 26713, 16395, 16647, 21903, 28043, 16674, 26987, 17917, 20397, 23971, 24472, 16397, 16582, 16582, 21925, 16395, 28568, 20053, 16704, 16917, 16673, 16647, 17154, 18545, 55861, 32705, 24278, 16395, 16734, 18846, 60435, 16674, 50610, 50328, 16604, 16391, 16442, 16415, 16449, 16400, 16408, 16396, 16658, 16396, 16403, 16399, 16396, 16399, 16405, 16396, 16402, 16402, 16408, 16401, 16444, 16396, 16396, 16442, 16415, 16449, 16401, 16399, 16396, 16658, 16396, 16403, 16399, 16396, 16399, 16405, 16396, 16402, 16402, 16408, 16401, 16444, 16392, 16397, 16772, 17154, 18545, 17510, 16673, 28568, 20053, 16704, 62501, 21078, 16395, 16944, 19497, 28568, 46264, 17139, 25113, 16642, 20740, 16674, 19848, 28625, 46346, 16397, 18073, 17875, 16395, 28568, 46264, 17139, 25113, 16642, 20740, 49474, 19848, 28625, 46346, 16741, 16647, 52658, 18383, 16673, 62501, 21078, 16397, 16772, 20199, 16673, 16647, 17875, 18077, 16704, 16671, 21349, 16647, 21098, 16642, 20825, 16672, 28568, 46264, 17139, 25113, 16642, 20740, 32113, 16395, 21903, 28043, 16674, 26987, 17917, 16604, 16393, 16642, 36523, 16393, 16674, 16604, 16393, 16642, 37154, 16393, 16397, 16582, 16582, 65433, 16674, 20625, 16582, 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, 35275, 16674, 24588, 23375, 16582, 16582, 16416, 18804, 16673, 16604, 16406, 16399, 29551, 19140, 16673, 25169, 28378, 28568, 46264, 17139, 25113, 16642, 20740, 18873, 16767, 54905, 43714, 22552, 18059, 26460, 21054, 16674, 23126, 16604, 16391, 16435, 17060, 43714, 16395, 19391, 16392, 16815, 19160, 16671, 19293, 16604, 16401, 16399, 16399, 16407, 16395, 16734, 18293, 21903, 16674, 54098, 17586, 16395, 16958, 21578, 54239, 18444, 16672, 16647, 17875, 18077, 16674, 20440, 16903, 16715, 16767, 17965, 18514, 17202, 16397, 18800, 17597, 20053, 16674, 30039, 17975, 16396, 50818, 16906, 24588, 23375, 16395, 16944, 16958, 20186, 16922, 17032, 16604, 16400, 27844, 17915, 16815, 16647, 27242, 16395, 16958, 21715, 17181, 17671, 48802, 16397, 16772, 17707, 18245, 16642, 16396, 35364, 28833, 24588, 23375, 16958, 42305, 16734, 49531, 18289, 18161, 16642, 16396, 16452, 50858, 16674, 22557, 28568, 16741, 46264, 17139, 25113, 16642, 20740, 17244, 16397, 16582, 16582, 16853, 30648, 32321, 18918, 24319, 16673, 16647, 18873, 16958, 22322, 16397, 16772, 27242, 47616, 16673, 62501, 21078, 16763, 21365, 18745, 16671, 16647, 27242, 16395, 23314, 16674, 57663, 17434, 16397, 16772, 18077, 16763, 34889, 16673, 16604, 16406, 16399, 19140, 16673, 28568, 46264, 17139, 25113, 16642, 20740, 16604, 16391, 16402, 16407, 21966, 19140, 16395, 16604, 16402, 16401, 21379, 19140, 16392, 16395, 16734, 16667, 19183, 18702, 16673, 16604, 16405, 16400, 17202, 17719, 16604, 16391, 16402, 16405, 16396, 16396, 16406, 16406, 17202, 17719, 16392, 16397, 17958, 18873, 19151, 27204, 16604, 16391, 25784, 21361, 16395, 39031, 16785, 18766, 50071, 16392, 16395, 16944, 16752, 27567, 16671, 16647, 25921, 16673, 62501, 21078, 16397, 16582, 16582, 16386, 16386, 16386, 38702, 17519, 39102, 40879, 16582, 16582, 18264, 24813, 17519, 39102, 30448, 43369, 16395, 16604, 16404, 16396, 45197, 16460, 17707, 18245, 16642, 16396, 35364, 28833, 24588, 25419, 16958, 34871, 16715, 16604, 16400, 16678, 16767, 16604, 16406, 16399, 21896, 16418, 16395, 17517, 16668, 18245, 16642, 17521, 16734, 16641, 18509, 41572, 55297, 16395, 20440, 16809, 16691, 29485, 17923, 19565, 16647, 18150, 16673, 22712, 16767, 36709, 29879, 16604, 16391, 16400, 16399, 16399, 16395, 16604, 16408, 16404, 16395, 16604, 16407, 16404, 16674, 16604, 16406, 16404, 16388, 16392, 16715, 16604, 16404, 17414, 16398, 26797, 16397, 16711, 16604, 16408, 16405, 21896, 16418, 17969, 16396, 63558, 16763, 17405, 16715, 44981, 53297, 16672, 16604, 16399, 16397, 16399, 16400, 31957, 16398, 16459, 35981, 32095, 23178, 27671, 16604, 16391, 16400, 16399, 42745, 16395, 33208, 16604, 16405, 16397, 16399, 16392, 16715, 16604, 16401, 16399, 17414, 16397, 24123, 16395, 58029, 16972, 49802, 16954, 19962, 16763, 16951, 62036, 16809, 52577, 16672, 16604, 16402, 16388, 31055, 16972, 39998, 16715, 16604, 16400, 16404, 17414, 16767, 18392, 21452, 16397, 58194, 16395, 38022, 16958, 30404, 16734, 43395, 33651, 16604, 16391, 24066, 16397, 17028, 16397, 17565, 43587, 16396, 16408, 16399, 16401, 16401, 16410, 38371, 41812, 30358, 16395, 19376, 16397, 16395, 30686, 16395, 19391, 16410, 16604, 16400, 16409, 16400, 16392, 16767, 16604, 16402, 16406, 21896, 16418, 16672, 16641, 25364, 19855, 16715, 16604, 16402, 16399, 17414, 16674, 17177, 44741, 16809, 16647, 20618, 34567, 16604, 16391, 58200, 16654, 20932, 57430, 34567, 17647, 18206, 21098, 16642, 16410, 19713, 16397, 17028, 16397, 34621, 16406, 16406, 16402, 16399, 16410, 22437, 16714, 18261, 22519, 16395, 19376, 16397, 16395, 16957, 16397, 22146, 19106, 16395, 41599, 16395, 21119, 16410, 16604, 16400, 16409, 16400, 16399, 16399, 16392, 29867, 16767, 16604, 16403, 21896, 16418, 16672, 31307, 44615, 16397, 28671, 34066, 16734, 16604, 16399, 16397, 16399, 16400, 31957, 16398, 16427, 40326, 16604, 16391, 16463, 16423, 16604, 16406, 16397, 16401, 16392, 17567, 18032, 16395, 38022, 16958, 44741, 16734, 16641, 18783, 61913, 18161, 16895, 24745, 40413, 20381, 16396, 37372, 34567, 16604, 16391, 24066, 16397, 17028, 16397, 44906, 16396, 16405, 16399, 16399, 16399, 16410, 38371, 41812, 30358, 16395, 19376, 16397, 16410, 16604, 16400, 16409, 16400, 16392, 16715, 16604, 16401, 16404, 17414, 16767, 16604, 16402, 16406, 21896, 16418, 16397, 28671, 32773, 17160, 16672, 16678, 17035, 16646, 16705, 17054, 16972, 49802, 16954, 25016, 22218, 16849, 22091, 27225, 45133, 16642, 18055, 25727, 16767, 16604, 16402, 16406, 21896, 16418, 16715, 16604, 16402, 16399, 17414, 16395, 38022, 16958, 22140, 16734, 45133, 16642, 18783, 61913, 16396, 16874, 49802, 16954, 19680, 17655, 16604, 16402, 16395, 16402, 29084, 16396, 16451, 19143, 16642, 17080, 26791, 41768, 16741, 16641, 28372, 21886, 16395, 16674, 17177, 21263, 16684, 18499, 16734, 49531, 18289, 18161, 16642, 16715, 16604, 16402, 16399, 20457, 16767, 18392, 21452, 16674, 28152, 16809, 18109, 45266, 16604, 16391, 59984, 16730, 23813, 16395, 29870, 16395, 19802, 16392, 16397, 40326, 16763, 17405, 16741, 16641, 20809, 18123, 19095, 16673, 16641, 20618, 34567, 16397, 16582, 16582, 16386, 16386, 16386, 42185, 16673, 24813, 17519, 39102, 30448, 43369, 16582, 16582, 18069, 27046, 32412, 16785, 25446, 27596, 16672, 16647, 44714, 16785, 57331, 16460, 24483, 19508, 19487, 16395, 16944, 17724, 32735, 16671, 16647, 18211, 19527, 16409, 17226, 16392, 16772, 31395, 20189, 16763, 18271, 16410, 44995, 16392, 16647, 20447, 16673, 19508, 30083, 18699, 16763, 23874, 16410, 17226, 19904, 16392, 43369, 16763, 21777, 19800, 19739, 16734, 16647, 21515, 16397, 16582, 16582, 17071, 16641, 16604, 16403, 16399, 16399, 30070, 17362, 17803, 23165, 16395, 32965, 21578, 16815, 16604, 16400, 16399, 17476, 20053, 18155, 22262, 16673, 18058, 16395, 16647, 24101, 16673, 16604, 16391, 16448, 16392, 34950, 42305, 19487, 16763, 25722, 16741, 21983, 16409, 16604, 16399, 16396, 16396, 16404, 16388, 19508, 19487, 16395, 21228, 16604, 16399, 16410, 16604, 16405, 16396, 16396, 16401, 16404, 16388, 19508, 19487, 16395, 21228, 16604, 16400, 16410, 16604, 16401, 16405, 16396, 16396, 16404, 16399, 16388, 19508, 19487, 16395, 21228, 16604, 16401, 16410, 16604, 16404, 16400, 16396, 16396, 16406, 16404, 16388, 19508, 19487, 16395, 21228, 16604, 16402, 16410, 16604, 16406, 16405, 16396, 16396, 16400, 16399, 16399, 16388, 19508, 19487, 16395, 21228, 16604, 16403, 16397, 19488, 16395, 16647, 16604, 16391, 16449, 16392, 43369, 27859, 16763, 29054, 16409, 23432, 17600, 16395, 21228, 16604, 16399, 16410, 18109, 25197, 16395, 21228, 16604, 16400, 16410, 19431, 25197, 16674, 32412, 16395, 21228, 16604, 16401, 16410, 25446, 16395, 21228, 16604, 16402, 16397, 16582, 16582, 16853, 20825, 16673, 21098, 16642, 16763, 18138, 16709, 16647, 17918, 16673, 16604, 16391, 16448, 16392, 32317, 16604, 16391, 16449, 16392, 16409, 40752, 16604, 16399, 16395, 20809, 16604, 16391, 25296, 16392, 16410, 21228, 16604, 16400, 16396, 16396, 16403, 16395, 62848, 19508, 16604, 16391, 16394, 16392, 16410, 21228, 16604, 16404, 16396, 16396, 16407, 16395, 19508, 16604, 16391, 16394, 16394, 16392, 16410, 21228, 16604, 16408, 16396, 16396, 16400, 16401, 16395, 24906, 19508, 16604, 16391, 16394, 16394, 16394, 16392, 16397, 16604, 16391, 25296, 16392, 16674, 16604, 16391, 16394, 16392, 16958, 29819, 16741, 18229, 20825, 17585, 16395, 16604, 16391, 16394, 16394, 16392, 16674, 16604, 16391, 16394, 16394, 16394, 16392, 16958, 54244, 16741, 16647, 17362, 20825, 17585, 16604, 16391, 16442, 24001, 16397, 16604, 16400, 16416, 16444, 16391, 16386, 16453, 16400, 16396, 16658, 16396, 16403, 16399, 16396, 16399, 16405, 16396, 16402, 16402, 16408, 16401, 16392, 16474, 18452, 16396, 18926, 16412, 16385, 19327, 16385, 16476, 16392, 16397, 16772, 17539, 16673, 17492, 46725, 16763, 31525, 29054, 16809, 17142, 26258, 16674, 21381, 19007, 26924, 16395, 62030, 16671, 16647, 18873, 16443, 16390, 21903, 17586, 16397, 16772, 17589, 19140, 16734, 45433, 16795, 18466, 16958, 16691, 36049, 21437, 16674, 18551, 24958, 16958, 17148, 17000, 17104, 16397, 16582, 16582, 16386, 16386, 16386, 26934, 19995, 16582, 16582, 35732, 28568, 46264, 17139, 25113, 16642, 20740, 18155, 20329, 16711, 16404, 16403, 16408, 16674, 16751, 16400, 16408, 16406, 16404, 16958, 21715, 16815, 16647, 21217, 16673, 26170, 27971, 29139, 16673, 16647, 20917, 23339, 16673, 26651, 16604, 16391, 18564, 16990, 31135, 16395, 19391, 16392, 16397, 16772, 19487, 16958, 26447, 16672, 16778, 22931, 16424, 16396, 16400, 16405, 16403 ]
[ 0, 16696, 16696, 16696, 16696, 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, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 30134, 16604, 16401, 16406, 16395, 16604, 16401, 16399, 16400, 16405, 16582, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16650, 16435, 64032, 18311, 50001, 16582, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 53413, 22697, 16604, 16390, 49943, 36663, 22927, 16582, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 18987, 23054, 42737, 34870, 28006, 16582, 16582, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 21465, 16409, 16604, 16400, 16604, 16409, 16399, 16403, 16739, 16397, 16428, 16397, 16582, 16696, 16696, 16696, 16700, 64032, 18311, 50001, 16738, 27310, 40477, 21256, 53413, 22697, 16390, 49943, 36663, 22927, 16582, 16696, 16696, 16696, 16696, 52322, 22697, 16390, 49943, 36663, 22927, 21337, 23054, 42737, 34870, 28006, 16582, 16582, 16427, 17317, 26994, 53752, 18386, 16791, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16604, 16392, 16650, 16759, 29394, 16429, 16786, 16397, 16696, 16604, 16401, 16399, 16400, 16404, 16396, 16399, 16400, 16396, 16399, 16400, 16400, 16406, 16582, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16650, 16392, 16696, 16696, 16696, 16696, 16650, 16401, 16399, 16400, 16404, 16396, 16399, 16400, 16396, 16399, 16400, 16400, 16407, 16582, 16469, 16397, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16392, 16582, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16650, 16392, 16582, 22471, 17435, 32683, 16395, 19376, 16397, 16395, 17605, 16813, 16397, 16696, 16696, 16696, 16696, 16392, 16650, 18490, 26633, 51199, 16397, 16604, 16408, 16400, 16408, 16405, 16403, 16396, 16401, 16399, 16400, 16403, 16582, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16650, 16392, 16696, 16696, 16696, 16696, 16650, 16604, 16402, 16408, 16407, 16404, 16408, 16396, 16401, 16399, 16400, 16403, 16582, 16770, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16650, 16604, 16392, 16582, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16650, 16392, 16582, 48157, 22995, 17098, 21354, 16395, 24887, 16395, 17605, 16813, 16397, 16696, 16650, 16392, 16582, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16650, 16392, 16582, 16770, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16650, 16604, 16392, 16582, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16650, 16392, 16582, 20123, 56018, 16751, 16823, 48795, 16395, 44726, 16673, 16647, 16696, 16696, 16604, 16392, 16582, 16417, 26583, 16673, 36717, 16390, 48517, 16395, 16696, 16696, 16696, 16650, 16392, 16582, 28249, 47867, 22805, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16392, 16582, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16650, 16392, 16582, 20323, 16452, 16666, 16815, 16647, 19758, 16673, 36717, 16390, 16696, 16696, 16696, 16604, 16392, 16582, 20870, 35731, 46230, 16395, 16696, 16696, 16696, 16696, 16696, 16696, 16650, 16392, 16582, 35808, 59439, 16395, 27735, 16696, 16696, 16696, 16696, 16696, 16696, 16650, 16604, 16392, 16582, 16582, 16582, 16696, 16696, 16696, 16696, 16696, 23209, 21782, 16674, 21496, 30924, 16604, 16396, 61366, 18936, 16604, 16401, 16406, 16395, 16604, 16401, 16399, 16400, 16405, 16582, 16582, 16582, 17071, 17213, 43673, 17361, 22131, 35055, 35300, 16395, 16667, 26750, 16674, 16647, 22872, 47867, 22805, 16582, 35624, 50761, 18707, 35088, 16647, 21459, 19124, 16390, 16466, 36327, 16673, 43506, 16671, 25156, 16647, 16582, 48373, 17906, 16390, 16466, 21144, 16674, 43506, 16671, 26148, 16785, 32020, 20584, 21301, 24078, 16397, 27903, 16395, 16582, 17347, 22872, 47867, 22805, 19126, 16647, 21459, 19124, 16390, 16466, 22645, 16671, 17280, 16641, 40285, 21764, 16582, 16466, 20902, 17020, 38316, 16397, 28671, 16641, 17299, 19225, 21764, 16395, 16944, 16763, 17280, 17014, 17028, 19107, 26985, 16641, 16582, 16643, 18191, 17989, 41944, 17897, 17135, 16647, 27939, 16673, 29844, 30410, 41344, 16395, 16647, 21459, 19124, 16582, 29994, 16641, 20584, 21301, 16721, 25901, 16672, 16647, 23142, 16390, 16466, 17255, 20095, 16922, 17005, 16671, 19471, 16641, 16582, 24060, 16715, 16667, 32000, 17292, 21764, 16397, 16772, 21459, 19124, 16390, 16466, 24078, 40013, 16647, 21588, 16671, 16582, 58077, 16758, 16672, 16641, 17711, 20584, 21301, 16980, 16647, 23142, 17132, 16804, 19471, 16641, 19181, 16715, 16667, 16582, 17345, 19519, 17292, 21764, 16809, 16641, 25101, 19346, 16397, 28671, 16641, 21764, 16709, 43506, 16715, 46781, 16674, 16582, 17252, 43506, 16809, 16647, 27450, 16674, 16647, 22872, 47867, 22805, 16395, 16647, 21459, 19124, 26358, 16647, 16582, 35956, 16942, 16674, 17280, 16641, 40285, 21764, 16397, 18483, 26750, 16674, 16647, 22872, 47867, 22805, 16807, 16582, 51970, 19949, 16397, 17119, 34444, 16647, 21459, 19124, 16390, 16648, 36327, 16673, 16647, 19001, 43506, 16674, 17233, 16770, 16647, 17843, 16582, 17756, 18613, 30273, 16741, 17123, 16703, 19865, 16397, 16582, 16582, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16604, 16400, 16582, 16584, 49625, 38857, 16762, 16397, 17828, 17326, 23736, 16647, 20834, 16673, 16647, 39967, 20738, 16395, 16672, 16944, 27735, 16582, 63408, 16790, 16397, 45893, 16395, 23991, 16395, 21927, 16397, 27735, 19824, 16773, 16397, 16751, 17000, 17949, 23165, 16641, 21681, 52556, 17161, 16582, 16754, 16460, 16400, 16399, 16461, 16397, 16582, 16582, 19315, 18258, 26773, 16881, 16395, 63587, 16395, 28431, 16395, 16715, 16647, 57254, 16395, 22872, 47867, 22805, 16582, 16582, 41918, 25731, 16835, 16395, 27648, 16395, 24600, 16395, 16715, 16647, 26750, 16396, 17550, 17182, 16795, 16395, 20196, 17435, 32683, 16395, 19376, 16397, 16582, 16582, 17822, 16705, 27937, 27194, 17392, 16395, 63587, 16395, 28431, 16395, 16715, 16647, 23142, 16396, 17550, 22126, 16452, 16395, 45731, 26994, 53752, 18386, 16791, 16582, 16582, 26560, 34512, 17392, 16395, 38450, 16395, 28431, 16715, 16647, 26750, 16395, 23422, 22995, 17098, 21354, 16395, 16582, 19046, 16418, 16582, 16582, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 35471, 17104, 16674, 38830, 17710, 47377, 16582, 16582, 16696, 16696, 18301, 17907, 16604, 16401, 16406, 16395, 16604, 16401, 16399, 16400, 16404, 16395, 45731, 26994, 53752, 18386, 16791, 16604, 16391, 16385, 64775, 16385, 16392, 23165, 17142, 55951, 16715, 20763, 16582, 48836, 18057, 16734, 16647, 28199, 16673, 36717, 16390, 48517, 16604, 16391, 16385, 16417, 26583, 16385, 16392, 16397, 16875, 16647, 17092, 16582, 23265, 17019, 16395, 16733, 23215, 16733, 36749, 16709, 47590, 16674, 21905, 16709, 19191, 16604, 16401, 16395, 16604, 16401, 16399, 16400, 16403, 16395, 23526, 16672, 16985, 16396, 16582, 21670, 24707, 16671, 16888, 17939, 20775, 16395, 18229, 17141, 16395, 16674, 18370, 17437, 16672, 16647, 23428, 16673, 22995, 17098, 16582, 40358, 16395, 24887, 16604, 16391, 16385, 33015, 17098, 21354, 16385, 16392, 16397, 16875, 16647, 17711, 27182, 16395, 16733, 23215, 16733, 36749, 16674, 16582, 53729, 16672, 16647, 22444, 16709, 19196, 16604, 16404, 16395, 16604, 16401, 16399, 16400, 16403, 16395, 17437, 16672, 16647, 23428, 16673, 20196, 17435, 32683, 16395, 19376, 16397, 16582, 16391, 16385, 16792, 16890, 17435, 32683, 16385, 16392, 16395, 16944, 21099, 16985, 16396, 21670, 24707, 16671, 16888, 17262, 17810, 16395, 17939, 26050, 16395, 16582, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16650, 16604, 16401, 16582, 16770, 18370, 16397, 16604, 16400, 22646, 55951, 19618, 16647, 22872, 47867, 22805, 16604, 16391, 16385, 16434, 21520, 16385, 16392, 16741, 16641, 19107, 16397, 16582, 16582, 16696, 16650, 44815, 23215, 16733, 19074, 17490, 24707, 16671, 16888, 27450, 16397, 17046, 23597, 16582, 17022, 17993, 25330, 21575, 19151, 19428, 17534, 18211, 16647, 19191, 16604, 16401, 16395, 16604, 16401, 16399, 16400, 16403, 23017, 16397, 18916, 16582, 30206, 16661, 16647, 17711, 23017, 16395, 16733, 16763, 19194, 16641, 22765, 16673, 32001, 16809, 20196, 17435, 16582, 33364, 16466, 16397, 16604, 16402, 17046, 16763, 18215, 22472, 16809, 18958, 16397, 33840, 18578, 52285, 17042, 17768, 16395, 16647, 29397, 16733, 21578, 16815, 16582, 17347, 22765, 16395, 16850, 16733, 28391, 16671, 17911, 16671, 18958, 16397, 52285, 17042, 17768, 17135, 16647, 17711, 18536, 16674, 26985, 16582, 21484, 16733, 16703, 19194, 16641, 17476, 29397, 16397, 21123, 16721, 17005, 16395, 44815, 16872, 19151, 16582, 51991, 17534, 16815, 16641, 29397, 16733, 21578, 16709, 16888, 17304, 16929, 16763, 16804, 30936, 16809, 16582, 33015, 17098, 21354, 16785, 20196, 17435, 32683, 16397, 34930, 16715, 44815, 16390, 16466, 31703, 16721, 16733, 16872, 16582, 33955, 22904, 16709, 16888, 47172, 36231, 16395, 16986, 16704, 17028, 17624, 16672, 16647, 18156, 21370, 16647, 16582, 63125, 16785, 23614, 16673, 44815, 16390, 16466, 19428, 19165, 16397, 16582, 16582, 16400, 16582, 17933, 30013, 16872, 16992, 18201, 16672, 16811, 17843, 16674, 17028, 49715, 16962, 17283, 16785, 63424, 17366, 17131, 26957, 16673, 16972, 16457, 18024, 16582, 29515, 16992, 23165, 16734, 16647, 21459, 19124, 16397, 40156, 16395, 16647, 20236, 23528, 20905, 31360, 16769, 18711, 16815, 16647, 16582, 21606, 19350, 23165, 16734, 16647, 28199, 16721, 16769, 19618, 16672, 16647, 21975, 18156, 16709, 23656, 16397, 16582, 16401, 16582, 16696, 16853, 17142, 21144, 16958, 43673, 16809, 16647, 21459, 19124, 16397, 16582, 16402, 16582, 16650, 17071, 22652, 20276, 19796, 16647, 18156, 16395, 21178, 16704, 17366, 16671, 44815, 16390, 16466, 16804, 17961, 16992, 19194, 16641, 16582, 40872, 16673, 32001, 16397, 18523, 16395, 16728, 21438, 16671, 16703, 48455, 17781, 16665, 16721, 16733, 16763, 18201, 16641, 22765, 16741, 16641, 17539, 16673, 16888, 16582, 27999, 23215, 22193, 16674, 16721, 16733, 24494, 16641, 29397, 16815, 16721, 22765, 16397, 16582, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16650, 16604, 16401, 16582, 16584, 16696, 16696, 31181, 16647, 27939, 16673, 16647, 55951, 16674, 46756, 20849, 16671, 28050, 16647, 21144, 16582, 26514, 16647, 28199, 16390, 16466, 50188, 17650, 16395, 29844, 30410, 41344, 16958, 23165, 16709, 18936, 16582, 16401, 16399, 16395, 16604, 16401, 16399, 16400, 16404, 16397, 20919, 17028, 19107, 23165, 16641, 19181, 16715, 21764, 16672, 18422, 18385, 17989, 16604, 16405, 16399, 17897, 16673, 16582, 17347, 27939, 16673, 16647, 29844, 30410, 41344, 16395, 16709, 19196, 16604, 16401, 16403, 16395, 16604, 16401, 16399, 16400, 16404, 16395, 16647, 21144, 16958, 16582, 43564, 16709, 16641, 46781, 27784, 16715, 16641, 17299, 19225, 21764, 16395, 16944, 16763, 24142, 16715, 16582, 32015, 16604, 16401, 16400, 16395, 16604, 16401, 16399, 16400, 16404, 16397, 16604, 16403, 16582, 16582, 16696, 16696, 19231, 44815, 16390, 16466, 19181, 16395, 16647, 21588, 22292, 16671, 19072, 16647, 17299, 19225, 21764, 16671, 16582, 32298, 16604, 16400, 16401, 16395, 16604, 16401, 16399, 16400, 16405, 16397, 28671, 16647, 21764, 16395, 16647, 21459, 19124, 21946, 17299, 19225, 24078, 16721, 16582, 18770, 18158, 16647, 17005, 16715, 44815, 16671, 22064, 17072, 16671, 22040, 18015, 19160, 16604, 16401, 16408, 16395, 16604, 16401, 16399, 16400, 16405, 16674, 16582, 16466, 43118, 16641, 20584, 21301, 16715, 16721, 19346, 16397, 18708, 24078, 19062, 44815, 16390, 16466, 24615, 16671, 16582, 16642, 17024, 16647, 19124, 17560, 16647, 19160, 16604, 16401, 16408, 16395, 16604, 16401, 16399, 16400, 16405, 20584, 21301, 17072, 44815, 22696, 16582, 16928, 22040, 16674, 26386, 16647, 25244, 16809, 16944, 26046, 16715, 16667, 32000, 17292, 21764, 16785, 16667, 16582, 34120, 21764, 16958, 16671, 16703, 17366, 16409, 16582, 16582, 16696, 16696, 17991, 16604, 16442, 64775, 16390, 16466, 24615, 16444, 52357, 16647, 19758, 16767, 16647, 38396, 23233, 16721, 16888, 16582, 16696, 16696, 24645, 40162, 16671, 19471, 16641, 34502, 16715, 48213, 17292, 46589, 16395, 16647, 19758, 16868, 20502, 16582, 16696, 16696, 16657, 17970, 29189, 16721, 16733, 19471, 16647, 34502, 16715, 48213, 17292, 46589, 17989, 16582, 16696, 16696, 30794, 17598, 17897, 16815, 19160, 16604, 16401, 16408, 16395, 16604, 16401, 16399, 16400, 16405, 16395, 16785, 16395, 28715, 17274, 16395, 16888, 18385, 16868, 16703, 16582, 16696, 16696, 16451, 55681, 16665, 17714, 41866, 16397, 17426, 16604, 16442, 64775, 16390, 16466, 24615, 16444, 52357, 16647, 19758, 16767, 16582, 16696, 16696, 17347, 38396, 23233, 16721, 16888, 21281, 26046, 16667, 34794, 16604, 16391, 16434, 17909, 23834, 16392, 16582, 16696, 16696, 16423, 24325, 16395, 16647, 19758, 16868, 23068, 16604, 16442, 17347, 21144, 16444, 16715, 16641, 48517, 46589, 16397, 16582, 16582, 16696, 16696, 31181, 16647, 19160, 16604, 16401, 16408, 16395, 16604, 16401, 16399, 16400, 16405, 20584, 21301, 16395, 24078, 16958, 23373, 32349, 16582, 64775, 16390, 16466, 19181, 16715, 19642, 17005, 16671, 19646, 16667, 21381, 19428, 20834, 16674, 16647, 16702, 21520, 16390, 16466, 16582, 17080, 24042, 16671, 16647, 19181, 16674, 17073, 17304, 26046, 16721, 16647, 19124, 23068, 16641, 26505, 16582, 16643, 18191, 16397, 16772, 21459, 19124, 24971, 44815, 18015, 19557, 16604, 16401, 16408, 16395, 16604, 16401, 16399, 16400, 16405, 16671, 19471, 26046, 16715, 16582, 17345, 19519, 17292, 41382, 16395, 31779, 16672, 17073, 19557, 16604, 16404, 16395, 16604, 16401, 16399, 16400, 16405, 24078, 16721, 16604, 16385, 16442, 16456, 16444, 16453, 16604, 16442, 64775, 16444, 16872, 16804, 16582, 16453, 20295, 16641, 34502, 16715 ]
[ 0, 38194, 16604, 16474, 16386, 37256, 16400, 16476, 16582, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16582, 16582, 36635, 21338, 16396, 52420, 26513, 16604, 16391, 16466, 16423, 20961, 16466, 16392, 16769, 16641, 24366, 17797, 16673, 26513, 16721, 18634, 16641, 51409, 36858, 16614, 20464, 16408, 16399, 16396, 16791, 16699, 16878, 26529, 16396, 40599, 47025, 16642, 24020, 16604, 16391, 18513, 16419, 16392, 16721, 16704, 17314, 43224, 16809, 24579, 16793, 16396, 16674, 16719, 16396, 48276, 23349, 16604, 16391, 16417, 33324, 17605, 16813, 16397, 16604, 16442, 16415, 23965, 16402, 16444, 16410, 42558, 17605, 16813, 16397, 16604, 16442, 16415, 23965, 16400, 16406, 16444, 16410, 18640, 33766, 19066, 16449, 17605, 16813, 16397, 16604, 16442, 16415, 23965, 16401, 16407, 16444, 16392, 16397, 21604, 16648, 16423, 20961, 16466, 16769, 22439, 17785, 16741, 17334, 37896, 16604, 16391, 16400, 16401, 16671, 16604, 16403, 16401, 18331, 16458, 27786, 16392, 16395, 16647, 20987, 49657, 17065, 18122, 39589, 37896, 16397, 18708, 18898, 16672, 19101, 16815, 16604, 16400, 16401, 16671, 16604, 16443, 16413, 20464, 16403, 16399, 17242, 48758, 16395, 16734, 16991, 17797, 18319, 17255, 17334, 16745, 16656, 65212, 16674, 18208, 28931, 20932, 20129, 65212, 16901, 65119, 16604, 16391, 16417, 33324, 17605, 16813, 16397, 16604, 16442, 16415, 23965, 16402, 16444, 16410, 42558, 17605, 16813, 16397, 16604, 16442, 16415, 23965, 16400, 16406, 16444, 16410, 18640, 33766, 19066, 16449, 17605, 16813, 16397, 16604, 16442, 16415, 23965, 16401, 16407, 16444, 16392, 16397, 20724, 16672, 16858, 29326, 16466, 16673, 17417, 16395, 17259, 16648, 16423, 20961, 16466, 16807, 16992, 25402, 16672, 36523, 16671, 17114, 16741, 42560, 16396, 46443, 27732, 16816, 21201, 18339, 16734, 16647, 19629, 16671, 25217, 18214, 45230, 26513, 16672, 16641, 29584, 61473, 17510, 17274, 16721, 16873, 16843, 16703, 23441, 43855, 16809, 16647, 18155, 16390, 16466, 42560, 16396, 32435, 16816, 21201, 18339, 16397, 39098, 23446, 16807, 20101, 20609, 16715, 16811, 48827, 25013, 16673, 16648, 16423, 20961, 16816, 21201, 16877, 18865, 16410, 18919, 16395, 20184, 16769, 26552, 24203, 16815, 16672, 36523, 19831, 16734, 58549, 26513, 16674, 18528, 25566, 17035, 16815, 17975, 16396, 35523, 56932, 38267, 16604, 16391, 29972, 16459, 38905, 16674, 16965, 17478, 17805, 16604, 16442, 16415, 23965, 16400, 16405, 16444, 16410, 22763, 25895, 17605, 16813, 16397, 16604, 16442, 16415, 23965, 16403, 16399, 16444, 16392, 16397, 23121, 16395, 16641, 18166, 24721, 16672, 17038, 20287, 16673, 16648, 16423, 20961, 25013, 16704, 16647, 28387, 19744, 16673, 17624, 16931, 16944, 49444, 16873, 19238, 16672, 16647, 18155, 16397, 16582, 16582, 17071, 17970, 16671, 26426, 16647, 21454, 16673, 26513, 16721, 16769, 16648, 16423, 20961, 25566, 17035, 16395, 16742, 21766, 16751, 20961, 16400, 16405, 16397, 16405, 16815, 16647, 18494, 16396, 18933, 16665, 56272, 17080, 52856, 16604, 16393, 38673, 17022, 16717, 17139, 17165, 16656, 16393, 17020, 16397, 16739, 19573, 16604, 16405, 16407, 16399, 16402, 16604, 16391, 17752, 24601, 16604, 16393, 38673, 17022, 16717, 17139, 17165, 16656, 16393, 16392, 16741, 16667, 23353, 17434, 16671, 39291, 16758, 16397, 16751, 20961, 16400, 16405, 16397, 16405, 16704, 16647, 17097, 16648, 16423, 20961, 16672, 16604, 16393, 38673, 17022, 16717, 17139, 17165, 16656, 16393, 16604, 16391, 16422, 59443, 16674, 16965, 17478, 17805, 16604, 16442, 16415, 23965, 16400, 16401, 16444, 16410, 22801, 17605, 16813, 16397, 16604, 16442, 16415, 23965, 16401, 16404, 16444, 16392, 16397, 16999, 16704, 24906, 29983, 16767, 17362, 21452, 16395, 16674, 19487, 32878, 16715, 16751, 20961, 16400, 16405, 16397, 16405, 16604, 16391, 47129, 16400, 16405, 16397, 16405, 16392, 17874, 24709, 16767, 29682, 19134, 21452, 16850, 16769, 25628, 16671, 21338, 20962, 16604, 16391, 16422, 59443, 16674, 16965, 17478, 17805, 16604, 16442, 16415, 23965, 16400, 16401, 16444, 16395, 16604, 16442, 16415, 23965, 16400, 16402, 16444, 16392, 16397, 16772, 21452, 16396, 50935, 26288, 49494, 16673, 43569, 16400, 16405, 16397, 16405, 19487, 16872, 29043, 19831, 16673, 16648, 16423, 20961, 21454, 19062, 16715, 19962, 16672, 37154, 16672, 16641, 18826, 56932, 17434, 16397, 25336, 18296, 16395, 17411, 35857, 16672, 16647, 16793, 16396, 48276, 24020, 16958, 17494, 16671, 25909, 21338, 33041, 16672, 37154, 16395, 16850, 16671, 16807, 17028, 17717, 16709, 16647, 24047, 16673, 16816, 21201, 16877, 17917, 16672, 46819, 16734, 18528, 49444, 16672, 36523, 16604, 16391, 16422, 59443, 17605, 16813, 16397, 16604, 16442, 16415, 23965, 16400, 16403, 16444, 16392, 16397, 17170, 28536, 48056, 16647, 17109, 16671, 21986, 23389, 25566, 17035, 16673, 16648, 16423, 20961, 16466, 16674, 56321, 16604, 16393, 38673, 17022, 16717, 17139, 17165, 16656, 16393, 16667, 21748, 17434, 16734, 16944, 16671, 16829, 16859, 16397, 16582, 16582, 17507, 21216, 17405, 24813, 16754, 59496, 19803, 16674, 19027, 50454, 24318, 16604, 16391, 21332, 16392, 16396, 19338, 18003, 39478, 16671, 21986, 16604, 16400, 16402, 26513, 19970, 16672, 37154, 16734, 16751, 20961, 16400, 16405, 16397, 16405, 16815, 16604, 16393, 38673, 17022, 16717, 17139, 17165, 16656, 16393, 19487, 16721, 16955, 16992, 21338, 16396, 16684, 19298, 19421, 16671, 18155, 16685, 18720, 16604, 16391, 16417, 33324, 17605, 16813, 16397, 16604, 16442, 16415, 23965, 16401, 16444, 16392, 16397, 18485, 17696, 16395, 17213, 16604, 16400, 16402, 26513, 16958, 16804, 27024, 16672, 24523, 19598, 16396, 53864, 16815, 19487, 16721, 16955, 16804, 16992, 21338, 16396, 16684, 19298, 16395, 16785, 17014, 58549, 16751, 20961, 16400, 16405, 16397, 16405, 16763, 18973, 16671, 21338, 16396, 16684, 19298, 43569, 16400, 16405, 16397, 16405, 19487, 17329, 16685, 18720, 16604, 16391, 16928, 18123, 16715, 16648, 16423, 20961, 16396, 57256, 26459, 16721, 17699, 19947, 16672, 16647, 46803, 16758, 16395, 16741, 25359, 16671, 17560, 21338, 20962, 16672, 37154, 16392, 16397, 21604, 17213, 26513, 16958, 19970, 16734, 16647, 16648, 16423, 20961, 16672, 16647, 52948, 18155, 28697, 16395, 16873, 16958, 17027, 17494, 16672, 16647, 48875, 37878, 18155, 28697, 17135, 21338, 20962, 16604, 16391, 16417, 33324, 17605, 16813, 16397, 16604, 16442, 16415, 23965, 16401, 16444, 16392, 16397, 17958, 16673, 17213, 26513, 16395, 20040, 22072, 28363, 16641, 20710, 16673, 31395, 22089, 16395, 17789, 27554, 16395, 37732, 16395, 24745, 36481, 16395, 16674, 18155, 32995, 16395, 17120, 16703, 19688, 16815, 16647, 24813, 16754, 59496, 28985, 16809, 18150, 16673, 16759, 18250, 16426, 16395, 17055, 16396, 16717, 21201, 18339, 16395, 16674, 42560, 16604, 16391, 16417, 33324, 17605, 16813, 16397, 16604, 16442, 16415, 23965, 16401, 16444, 16392, 16397, 16875, 18150, 16395, 16917, 16673, 17213, 25566, 17035, 16395, 16641, 17451, 16856, 61994, 16954, 16395, 17014, 49430, 16395, 16763, 19628, 16671, 16703, 21338, 25628, 16674, 16671, 28703, 16734, 16751, 20961, 16400, 16405, 16397, 16405, 16674, 28065, 16703, 24688, 16815, 48875, 16910, 16724, 17873, 16604, 16391, 16417, 33324, 17605, 16813, 16397, 16604, 16442, 16415, 23965, 16401, 16444, 16392, 16397, 19814, 17213, 17586, 21766, 16604, 16400, 16402, 26513, 16741, 19056, 25566, 17035, 16715, 48827, 16648, 16423, 20961, 16816, 21201, 16877, 17917, 16395, 16914, 22439, 17785, 17679, 20645, 16728, 16763, 16804, 18230, 16671, 41934, 16998, 18545, 22036, 19696, 16721, 17699, 49726, 24375, 16734, 16647, 16648, 16423, 20961, 16397, 16582, 16582, 21055, 16395, 16742, 16807, 23447, 16647, 27353, 16673, 16751, 20961, 16400, 16405, 16397, 16405, 16396, 19595, 16935, 17035, 16671, 16641, 18804, 16673, 16604, 16407, 16402, 26513, 16809, 24729, 16667, 43340, 19598, 16396, 19671, 16815, 21338, 16396, 16684, 19298, 16604, 16393, 38673, 17022, 16717, 17139, 17165, 16656, 16393, 16397, 19139, 24729, 40320, 25069, 16642, 17024, 17957, 28830, 16395, 16742, 18288, 17009, 28481, 17065, 16647, 20618, 16674, 24745, 28073, 21454, 16673, 26513, 16721, 25566, 16734, 16648, 16423, 20961, 16466, 16672, 16647, 52948, 18155, 28697, 17560, 20962, 16397, 17119, 17027, 45939, 16647, 22072, 16673, 16647, 25566, 17035, 16674, 24416, 17213, 16671, 16648, 16423, 20961, 25566, 17035, 21216, 21766, 16672, 17142, 16977, 16764, 16458, 16936, 21980, 16395, 16604, 16393, 16420, 45131, 16863, 16915, 44599, 16393, 16674, 16604, 16393, 19577, 16642, 50242, 16730, 18766, 18276, 16713, 16890, 16393, 16604, 16391, 19089, 21822, 17805, 17605, 16813, 16397, 16604, 16442, 16415, 23965, 16403, 16444, 16410, 30803, 17605, 16813, 16397, 16604, 16442, 16415, 23965, 16400, 16399, 16444, 16392, 16397, 19736, 22722, 18466, 24396, 16721, 16648, 16423, 20961, 16466, 19238, 16641, 18462, 18352, 24366, 17280, 16673, 26513, 16815, 51446, 16672, 16647, 18155, 16397, 16582, 16582, 41751, 16604, 16474, 16386, 37256, 16401, 16476, 16582, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16582, 16582, 43470, 23818, 32225, 16673, 16751, 20961, 16400, 16405, 16397, 16405, 16396, 19595, 47619, 26513, 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, 16582, 16582, 19068, 31018, 16604, 16393, 38673, 17022, 16717, 17139, 17165, 16656, 16393, 33597, 16958, 17405, 16672, 16944, 16647, 20909, 16396, 18926, 16751, 20961, 16400, 16405, 16397, 16405, 23273, 16955, 16992, 24301, 16734, 16641, 20768, 16642, 22091, 27225, 23759, 23273, 16604, 16391, 16393, 16448, 16705, 16416, 16393, 23273, 16392, 16604, 16391, 47129, 16423, 20961, 16400, 16405, 16397, 16405, 28460, 16392, 16785, 16734, 16647, 20768, 16642, 22091, 27225, 23273, 16674, 16751, 20961, 16400, 16405, 16397, 16405, 24833, 16641, 16957, 20785, 16396, 26503, 20448, 43340, 24515, 16604, 16391, 16438, 25688, 16431, 16432, 31705, 16426, 16392, 16709, 16647, 16719, 16396, 16737, 39474, 16604, 16391, 16423, 20961, 16400, 16405, 16397, 16405, 16396, 17287, 20785, 28460, 16392, 16604, 16391, 16417, 33324, 17605, 16813, 16397, 16604, 16442, 16415, 23965, 16401, 16444, 16392, 16397, 17170, 16751, 20961, 16400, 16405, 16397, 16405, 16396, 17287, 20785, 28460, 16955, 16992, 19628, 21216, 16671, 37332, 16945, 20909, 18383, 16672, 46819, 16673, 21338, 33041, 16604, 16391, 16417, 33324, 17605, 16813, 16397, 16604, 16442, 16415, 23965, 16401, 16444, 16392, 16395, 16674, 58549, 16751, 20961, 16400, 16405, 16397, 16405, 16396, 16684, 20785, 22036, 16763, 24523, 16671, 29935, 21796, 22036, 16672, 46819, 16673, 16816, 21201, 16877, 19962, 16672, 36523, 16604, 16391, 62841, 22837, 17605, 16813, 16397, 16604, 16442, 16415, 23965, 16408, 16444, 16392, 16397, 16582, 16582, 64106, 16958, 23475, 16672, 16604, 16404, 16399, 16396, 38632, 28031, 16767, 16604, 16402, 16399, 18331, 21896, 16418, 16741, 20101, 21216, 16671, 16604, 16393, 16416, 16393, 16477, 16406, 16402, 16399, 16477, 18331, 44438, 16614, 20464, 16399, 16397, 16401, 16604, 16391, 16417, 33324, 17605, 16813, 16397, 16604, 16442, 16415, 23965, 16401, 16444, 16392, 16674, 17177, 35024, 16671, 19165, 16767, 16604, 16403, 16401, 18331, 21896, 16418, 16715, 16604, 16401, 18331, 16455, 20440, 16809, 16604, 16400, 18331, 16455, 23553, 16767, 16604, 16402, 16399, 18331, 21896, 16418, 16395, 16671, 17823, 38003, 16673, 16751, 20961, 16400, 16405, 16397, 16405, 16396, 17287, 20785, 22036, 16397, 24775, 23375, 16958, 21789, 20206, 17135, 16811, 19165, 16395, 17437, 21338, 16396, 16684, 19298, 23375, 16958, 22140, 16715, 16667, 19642, 16604, 16402, 16399, 18331, 17784, 16767, 16604, 16403, 16405, 18331, 21896, 16418, 16397, 17999, 18123, 16715, 24375, 16673, 16751, 20961, 16400, 16405, 16397, 16405, 16396, 17287, 20785, 22036, 17560, 22281, 22402, 16395, 58549, 16751, 20961, 16400, 16405, 16397, 16405, 16396, 17287, 20785, 22036, 16763, 18973, 16671, 21338, 16396, 16684, 19298, 23375, 16673, 16647, 43569, 16423, 20961, 16400, 16405, 16397, 16405, 28460, 20206, 17135, 21338, 19165, 16767, 16641, 24734, 29822, 16721, 16672, 21338, 16396, 16684, 19298, 19487, 16397, 45382, 16958, 48216, 16395, 29561, 16672, 16604, 16400, 16397, 16404, 18331, 38632, 16685, 18720, 27671, 16604, 16391, 16401, 16404, 18331, 57679, 16751, 25306, 18311, 16396, 16426, 29158, 16395, 16604, 16399, 16397, 16401, 18331, 16428, 24876, 18747, 16395, 16604, 16399, 16397, 16404, 16388, 16700, 17147, 16645, 18126, 16396, 16400, 16399, 16399, 16395, 16604, 16404, 18331, 57679, 16604, 16523, 16497, 16396, 22390, 17139, 16904, 16689, 16675, 22363, 16395, 16604, 16400, 18331, 57679, 57401, 16707, 41768, 16395, 16604, 16400, 18331, 23944, 16454, 18331, 38632, 16445, 25296, 16400, 16445, 16827, 16468, 53009, 16642, 16395, 16674, 16604, 16400, 18331, 57679, 26625, 22238, 16395, 33208, 18331, 16406, 16397, 16404, 16392, 16395, 16674, 21018, 16741, 20101, 21216, 16604, 16391, 16417, 33324, 17605, 16813, 16397, 16604, 16442, 16415, 23965, 16401, 16444, 16392, 16397, 16772, 52948, 28697, 16763, 23590, 16734, 16604, 16402, 16399, 18331, 23944, 16427, 16673, 16957, 20785, 16396, 16435, 16935, 16642, 38908, 16604, 16391, 33680, 16392, 16767, 16604, 16403, 18331, 21896, 16418, 16715, 16604, 16401, 18331, 16455, 16397, 18042, 16642, 16763, 33694, 18817, 18032, 16672, 16685, 18720, 27671, 16395, 16674, 21011, 26513, 16958, 17448, 19661, 17655, 18422, 22281, 27671, 16604, 16391, 17756, 64374, 16396, 60749, 16392, 16785, 16704, 55745, 26305, 16604, 16391, 26285, 16421, 16392, 16691, 29485, 17923, 27671, 16604, 16391, 17756, 16604, 16401, 16419, 16695, 17615, 16392, 16604, 16391, 16406, 16397, 16399, 18331, 16428, 46908, 16448, 16395, 16604, 16401, 16397, 16404, 18331, 16428, 64130, 16663, 33843, 16395, 16604, 16401, 16388, 23605, 64851, 16395, 16604, 16401, 16388, 24888, 16422, 27671, 33208, 18331, 16402, 16396, 16396, 16400, 16399, 46578, 16604, 16391, 21517, 16756, 19058, 22437, 45334, 16392, 16395, 16674, 16604, 16402, 18331, 26605, 18331, 38632, 16445, 25296, 16400, 16445, 16670, 16731, 16456, 17201, 16644, 30615, 16392, 16397, 16582, 16582, 18264, 16604, 16401, 16419, 28170, 19335, 16395, 33208, 18331, 16402, 16396, 16396, 16400, 16399 ]
[ 0, 16400, 16397, 35453, 16582, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16582, 16582, 16853, 22754, 16674, 24959, 18356, 16673, 26683, 39448, 28365, 16604, 16391, 58594, 16392, 22658, 16872, 20095, 46332, 16673, 19029, 17989, 16647, 20189, 16674, 19101, 16673, 16647, 18206, 20483, 16672, 16641, 20710, 16673, 21903, 19527, 16850, 16395, 16672, 18343, 16395, 18211, 16641, 20475, 16390, 16466, 20124, 23659, 16671, 42713, 20483, 22193, 16604, 16391, 16435, 22477, 16392, 16604, 16443, 16442, 16442, 16415, 16417, 16400, 16396, 22917, 17407, 16845, 16396, 16399, 16402, 16396, 16399, 16400, 16402, 16406, 16403, 16444, 16443, 16444, 16397, 16875, 31233, 16395, 17301, 17902, 19029, 16769, 19260, 16673, 16647, 18804, 21765, 16673, 16647, 20483, 16395, 19260, 16673, 16647, 21765, 16673, 17490, 45254, 19255, 16674, 30935, 18798, 16395, 19260, 16672, 21765, 16673, 16647, 56402, 17322, 16786, 16768, 16395, 16681, 16666, 42590, 16395, 58150, 16730, 16395, 17045, 16472, 41033, 20941, 16395, 16991, 24426, 16395, 17322, 63044, 16674, 35344, 33582, 16604, 16443, 16442, 16442, 16415, 16417, 16400, 16396, 22917, 17407, 16845, 16396, 16399, 16402, 16396, 16399, 16400, 16402, 16406, 16403, 16444, 16395, 16442, 16415, 16417, 16401, 16396, 22917, 17407, 16845, 16396, 16399, 16402, 16396, 16399, 16400, 16402, 16406, 16403, 16444, 16395, 16442, 16415, 16417, 16402, 16396, 22917, 17407, 16845, 16396, 16399, 16402, 16396, 16399, 16400, 16402, 16406, 16403, 16444, 16395, 16442, 16415, 16417, 16403, 16396, 22917, 17407, 16845, 16396, 16399, 16402, 16396, 16399, 16400, 16402, 16406, 16403, 16444, 16395, 16442, 16415, 16417, 16404, 16396, 22917, 17407, 16845, 16396, 16399, 16402, 16396, 16399, 16400, 16402, 16406, 16403, 16444, 16443, 16444, 16674, 16667, 19800, 20192, 21765, 16673, 16647, 20483, 59489, 17434, 16604, 16391, 16442, 23236, 16604, 16400, 16444, 16391, 16386, 22917, 17407, 16845, 16396, 16399, 16402, 16396, 16399, 16400, 16402, 16406, 16403, 16396, 16453, 16399, 16399, 16400, 16392, 16474, 18452, 16396, 18926, 16412, 16385, 19327, 16385, 16476, 16392, 16807, 16992, 24305, 19074, 16604, 16443, 16442, 16442, 16415, 16417, 16405, 16396, 22917, 17407, 16845, 16396, 16399, 16402, 16396, 16399, 16400, 16402, 16406, 16403, 16444, 16395, 16442, 16415, 16417, 16406, 16396, 22917, 17407, 16845, 16396, 16399, 16402, 16396, 16399, 16400, 16402, 16406, 16403, 16444, 16443, 16444, 16903, 16671, 17142, 17202, 17135, 16700, 22477, 16604, 16443, 16442, 16442, 16415, 16417, 16407, 16396, 22917, 17407, 16845, 16396, 16399, 16402, 16396, 16399, 16400, 16402, 16406, 16403, 16444, 16443, 16444, 16397, 16582, 16582, 16384, 16442, 23930, 17202, 19421, 16671, 55156, 16641, 22660, 42713, 20483, 22193, 16604, 16391, 16435, 22477, 16392, 16811, 20475, 41179, 26683, 39448, 28365, 16604, 16391, 58594, 16392, 16741, 17015, 16673, 16667, 23405, 16715, 35534, 40166, 16397, 16772, 40377, 16763, 35092, 16741, 17989, 19732, 24727, 16604, 16391, 40011, 16427, 16392, 16674, 44541, 16673, 16647, 22631, 17404, 16677, 16396, 16928, 16396, 40524, 21844, 16604, 16391, 16437, 26062, 16392, 16763, 41023, 16762, 44065, 16604, 16391, 44723, 22739, 16965, 26062, 16704, 16604, 16443, 16477, 16400, 16397, 16404, 16734, 16641, 16604, 16399, 16397, 16404, 19749, 39660, 18138, 16709, 18804, 59489, 21765, 16398, 31328, 20483, 21765, 57489, 16809, 16604, 16400, 16399, 16399, 16859, 16721, 18456, 20246, 17123, 16703, 17405, 16392, 16397, 24695, 16721, 16709, 16647, 62816, 16647, 43895, 49179, 16673, 16647, 39180, 22631, 17404, 16677, 16958, 25987, 45070, 17255, 16667, 31703, 16673, 46034, 45254, 17520, 28395, 16397, 44312, 16395, 16647, 16965, 26062, 16763, 16922, 17032, 18519, 16673, 19732, 16395, 16641, 18613, 29520, 16673, 46034, 17520, 28395, 16397, 19139, 17386, 17142, 17498, 22193, 16395, 16647, 16965, 26062, 16763, 18613, 21999, 16395, 16850, 16809, 16917, 17649, 17498, 16396, 42569, 18024, 16955, 19800, 16734, 18650, 60173, 21485, 17351, 16674, 16763, 20440, 16809, 58501, 16767, 35694, 21852, 16767, 16604, 16400, 16405, 19105, 17498, 22193, 16395, 16734, 27418, 18613, 46034, 58501, 16767, 35694, 16395, 59489, 60173, 21485, 17351, 16674, 32718, 16965, 26062, 16767, 17142, 17202, 17498, 16396, 42569, 18024, 16397, 16604, 16391, 64623, 16815, 21093, 17976, 16674, 45554, 16604, 16401, 16399, 16400, 16401, 16604, 16443, 16442, 16442, 16415, 16417, 16400, 16396, 22917, 17407, 16845, 16396, 16399, 16402, 16396, 16399, 16400, 16402, 16406, 16403, 16444, 16443, 16444, 16734, 20788, 16392, 16397, 16444, 16391, 22917, 17407, 16845, 16396, 16399, 16402, 16396, 16399, 16400, 16402, 16406, 16403, 16396, 16454, 16399, 16399, 16400, 16392, 16474, 16386, 22917, 17407, 16845, 16396, 16399, 16402, 16396, 16399, 16400, 16402, 16406, 16403, 16396, 16453, 16399, 16399, 16400, 16476, 16582, 16582, 16853, 17369, 20987, 16673, 16647, 26182, 23824, 35490, 22270, 20609, 16673, 16700, 22477, 16674, 16398, 16658, 42713, 23856, 28089, 22193, 16604, 16391, 22238, 16424, 16392, 16872, 19074, 18356, 16673, 54098, 19029, 16672, 23856, 17112, 16673, 52309, 20092, 31225, 39533, 16674, 16914, 18155, 23653, 16785, 16395, 16671, 16641, 33677, 23614, 16604, 16393, 16642, 36523, 16393, 19831, 16395, 18661, 17032, 18356, 16673, 49504, 17989, 16647, 16887, 43040, 65412, 16673, 25139, 23856, 17112, 16397, 31606, 16647, 18961, 16700, 37701, 23824, 16395, 18919, 16395, 19761, 16704, 20227, 16671, 16703, 21882, 19028, 24739, 16809, 20854, 16887, 43040, 16674, 39589, 16745, 16806, 16689, 63265, 17135, 16700, 37701, 16604, 16443, 16442, 16442, 16415, 16417, 16408, 16396, 22917, 17407, 16845, 16396, 16399, 16402, 16396, 16399, 16400, 16402, 16406, 16403, 16444, 16395, 16442, 16415, 16417, 16400, 16399, 16396, 22917, 17407, 16845, 16396, 16399, 16402, 16396, 16399, 16400, 16402, 16406, 16403, 16444, 16395, 16442, 16415, 16417, 16400, 16400, 16396, 22917, 17407, 16845, 16396, 16399, 16402, 16396, 16399, 16400, 16402, 16406, 16403, 16444, 16443, 16444, 16397, 16582, 16582, 16416, 18961, 18166, 17928, 16672, 19395, 16734, 19130, 16671, 19165, 16673, 16674, 17534, 16673, 18873, 16929, 16807, 21877, 16641, 16700, 22477, 16704, 16721, 17199, 16641, 28479, 42713, 21888, 17123, 38258, 28159, 16647, 17498, 16396, 20423, 33635, 18356, 16673, 25917, 42713, 16901, 51663, 40061, 16604, 16391, 20091, 16420, 16392, 17187, 18873, 16395, 17030, 16641, 18472, 16673, 18355, 16671, 18295, 17202, 17135, 16641, 42713, 21888, 16395, 24280, 18019, 20154, 24734, 16395, 20154, 19761, 16395, 16952, 58981, 16395, 20693, 47711, 16395, 23000, 16674, 34524, 29144, 16944, 16846, 22829, 16734, 20209, 17498, 16396, 20423, 33635, 25341, 16604, 16443, 16442, 16442, 16415, 16417, 16400, 16401, 16396, 22917, 17407, 16845, 16396, 16399, 16402, 16396, 16399, 16400, 16402, 16406, 16403, 16444, 16443, 16444, 16397, 18523, 16395, 16647, 54098, 31133, 16391, 16466, 16392, 19970, 16734, 18356, 16673, 16719, 23163, 16769, 40485, 16604, 16443, 16442, 16442, 16415, 16417, 16400, 16401, 16396, 22917, 17407, 16845, 16396, 16399, 16402, 16396, 16399, 16400, 16402, 16406, 16403, 16444, 16443, 16444, 16397, 16711, 17785, 17679, 16673, 26182, 19831, 16395, 18919, 16395, 16807, 19074, 16721, 23856, 28089, 62557, 17123, 19072, 17030, 18355, 18211, 16700, 22477, 16604, 16443, 16442, 16442, 16415, 16417, 16400, 16402, 16396, 22917, 17407, 16845, 16396, 16399, 16402, 16396, 16399, 16400, 16402, 16406, 16403, 16444, 16395, 16442, 16415, 16417, 16400, 16403, 16396, 22917, 17407, 16845, 16396, 16399, 16402, 16396, 16399, 16400, 16402, 16406, 16403, 16444, 16443, 16444, 17655, 34439, 16673, 52396, 23856, 28089, 20734, 16785, 28902, 17595, 16397, 16999, 16763, 19728, 16671, 26426, 54098, 19029, 16672, 16647, 18043, 17002, 22965, 19487, 19359, 16671, 23856, 17112, 16673, 20854, 19255, 18798, 16672, 16641, 25380, 16396, 42569, 17919, 54371, 31225, 26182, 16395, 22270, 18528, 16671, 17709, 16647, 33018, 16721, 20854, 16887, 43040, 17123, 17460, 17498, 16396, 20423, 33635, 49504, 16721, 17120, 21449, 23856, 16645, 25341, 17135, 16700, 22477, 16397, 16582, 16582, 16401, 16397, 28992, 16674, 39804, 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, 16401, 16397, 16400, 16397, 28992, 16582, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16582, 16582, 16853, 33011, 19029, 16672, 16887, 43040, 47837, 17123, 16703, 18215, 16767, 16604, 16401, 16678, 17135, 25380, 16396, 42569, 18024, 16672, 16647, 17250, 37470, 16396, 59614, 54371, 31225, 18528, 16673, 16700, 37701, 16604, 16391, 16442, 23236, 16604, 16401, 16444, 16391, 16386, 22917, 17407, 16845, 16396, 16399, 16402, 16396, 16399, 16400, 16402, 16406, 16403, 16396, 16453, 16399, 16399, 16401, 16392, 16474, 18452, 16396, 18926, 16412, 16385, 19327, 16385, 16476, 16392, 16397, 18073, 18229, 20884, 18698, 16395, 22652, 38452, 16887, 43040, 31390, 19947, 17989, 16647, 16887, 43040, 65412, 16466, 16673, 18122, 16674, 17785, 31225, 39533, 27716, 16672, 43842, 19648, 16397, 16875, 16647, 17875, 18077, 17213, 16887, 43040, 31390, 16868, 16703, 46531, 16887, 43040, 39717, 61051, 16785, 16604, 16391, 25709, 16392, 16604, 16391, 16442, 23236, 16604, 16401, 16444, 16391, 16386, 22917, 17407, 16845, 16396, 16399, 16402, 16396, 16399, 16400, 16402, 16406, 16403, 16396, 16453, 16399, 16399, 16401, 16392, 16474, 18452, 16396, 18926, 16412, 16385, 19327, 16385, 16476, 19255, 42913, 16392, 16397, 16582, 16582, 19231, 17362, 20884, 18698, 16395, 16647, 29620, 16673, 30039, 16887, 43040, 42389, 16683, 20056, 16704, 18215, 16671, 19947, 16709, 16647, 57331, 25204, 20293, 16673, 16647, 39589, 16745, 16806, 16689, 17288, 16820, 16852, 16676, 23366, 16746, 17847, 17172, 16887, 43040, 46850, 21681, 17181, 16647, 18166, 32871, 18089, 16604, 16391, 16442, 23236, 16604, 16402, 16444, 16391, 16386, 22917, 17407, 16845, 16396, 16399, 16402, 16396, 16399, 16400, 16402, 16406, 16403, 16396, 16453, 16399, 16399, 16402, 16392, 16474, 18452, 16396, 18926, 16412, 16385, 19327, 16385, 16476, 16392, 18661, 17032, 16647, 17361, 42931, 18089, 16397, 16582, 16582, 16416, 17585, 16673, 16819, 42569, 17919, 16674, 25139, 21617, 16958, 22184, 16674, 30254, 16671, 18070, 17356, 17953, 35658, 41531, 16809, 17231, 16673, 16647, 26252, 26048, 16689, 16795, 44873, 16758, 46312, 23914, 16604, 16443, 16442, 16442, 16415, 16417, 16400, 16404, 16396, 22917, 17407, 16845, 16396, 16399, 16402, 16396, 16399, 16400, 16402, 16406, 16403, 16444, 16395, 16442, 16415, 16417, 16400, 16405, 16396, 22917, 17407, 16845, 16396, 16399, 16402, 16396, 16399, 16400, 16402, 16406, 16403, 16444, 16395, 16442, 16415, 16417, 16400, 16406, 16396, 22917, 17407, 16845, 16396, 16399, 16402, 16396, 16399, 16400, 16402, 16406, 16403, 16444, 16443, 16444, 16397, 16875, 16819, 42569, 17919, 21617, 16395, 17785, 56951, 17058, 16845, 16673, 29620, 16673, 16887, 43040, 42389, 16683, 20056, 17510, 16887, 43040, 39717, 61051, 16604, 16391, 16442, 23236, 16604, 16403, 16444, 16391, 16386, 22917, 17407, 16845, 16396, 16399, 16402, 16396, 16399, 16400, 16402, 16406, 16403, 16396, 16453, 16399, 16399, 16403, 16392, 16474, 18452, 16396, 18926, 16412, 16385, 19327, 16385, 16476, 16392, 16674, 17989, 16991, 16673, 17213, 28432, 17099, 16673, 26048, 16689, 16795, 44873, 16758, 34936, 28985, 17479, 16647, 21057, 16673, 17953, 35658, 41531, 16604, 16391, 16442, 23236, 16604, 16403, 16444, 16391, 16386, 22917, 17407, 16845, 16396, 16399, 16402, 16396, 16399, 16400, 16402, 16406, 16403, 16396, 16453, 16399, 16399, 16403, 16392, 16474, 18452, 16396, 18926, 16412, 16385, 19327, 16385, 16476, 16392, 16397, 16582, 16582, 17071, 18651, 22184, 16767, 16604, 16400, 16396, 16396, 16401, 16678, 17135, 16700, 37701, 16395, 16887, 43040, 39717, 61051, 16604, 16391, 25709, 16392, 16769, 32035, 21595, 16672, 17490, 54035, 16674, 43842, 25419, 16604, 16391, 16442, 23236, 16604, 16404, 16444, 16391, 16386, 22917, 17407, 16845, 16396, 16399, 16402, 16396, 16399, 16400, 16402, 16406, 16403, 16396, 16453, 16399, 16399, 16404, 16392, 16474, 18452, 16396, 18926, 16412, 16385, 19327, 16385, 16476, 16448, 16395, 16449, 16392, 16673, 31225, 39533, 16721, 21327, 19744, 16998, 31703, 16721, 20474, 16785, 22193, 16872, 23619, 16672, 17213, 31225, 39533, 16397, 25451, 16689, 16795, 44873, 16758, 34936, 28985, 16704, 44239, 16671, 16647, 60192, 16674, 16704, 18510, 16802, 16673, 16641, 41345, 24734, 16673, 35658, 41531, 17989, 16647, 57331, 16460, 17989, 16647, 43842, 17878, 16656, 17342, 32900, 17181, 16647, 30303, 16887, 43040, 16673, 18049, 58577, 30189, 16673, 16887, 43040, 16397, 16582, 16582, 16384, 16442, 16416, 18229, 20884, 18698, 16395, 43842, 23769, 18676, 16673, 16641, 38908, 31995, 24737, 19648, 16673, 54371, 31225, 16767, 16604, 16401, 16678, 17135, 16667, 29243, 25380, 16396, 42569, 18024, 16604, 16391, 16400, 16408, 16396, 16396, 16401, 16401, 30235, 18472, 16673, 27401, 31237, 16392, 16397, 21821, 41820, 17288, 16820, 18155, 23653, 16604, 16391, 16416, 16392, 16769, 25350, 16397, 29028, 17189, 16673, 41820, 17288, 16820, 33656, 17566, 31001, 16604, 16391, 29874, 18987, 16392, 16604, 16391, 21208, 16392, 19947, 17989, 41820, 17288, 16820, 22089, 16604, 16391, 28290, 42913, 16392, 32900, 17415, 52309, 20092, 31225, 26541, 16791, 16397, 16711, 18122, 16395, 28795, 31225, 47463, 16734, 16641, 35178, 16682, 23856, 50586, 16460, 16674, 22652, 38452, 16887, 43040, 39717, 61051, 16604, 16391, 25709, 16396, 16396, 16396, 28943, 42913, 16392, 16704, 25350, 16672, 16647, 23001, 16673, 16811, 18676, 16397, 17683, 39744, 27560, 16673, 16647, 18676, 27873, 22652, 35178, 16682, 16674, 19851, 60192, 16672, 16647, 16887, 43040, 65412, 16466, 16673, 38522, 16395, 21677, 31225, 39533, 16604, 16391, 29200, 17749, 19255, 42913, 16392, 16397, 29940, 18698, 16604, 16401, 16402, 16399, 16399, 30070, 16397, 16444, 16391, 22917, 17407, 16845, 16396, 16399, 16402, 16396, 16399, 16400, 16402, 16406, 16403, 16396, 16454, 16399, 16399, 16401, 16392, 16474, 16386, 22917, 17407, 16845, 16396, 16399, 16402, 16396, 16399, 16400, 16402, 16406, 16403, 16396, 16453, 16399, 16399, 16401, 16476, 16582, 16582, 16384, 16442, 16416, 17362, 20884, 18698, 18676, 16673, 20049, 16673, 16647, 16887, 43040 ]
[ 0, 39384, 16395, 19293, 16604, 16402, 16400, 16395, 16604, 16401, 16399, 16400, 16403, 16582, 16582, 18301, 16647, 47105, 19242, 16673, 16647, 23309, 21564, 16647, 49172, 36265, 19547, 16734, 16641, 30801, 17097, 16641, 17589, 17202, 23425, 16395, 16929, 17363, 16955, 16888, 54574, 19175, 16397, 16385, 18105, 16704, 16647, 20691, 16715, 26340, 16859, 18198, 16414, 16385, 16733, 18666, 16734, 16667, 31598, 17805, 16673, 19630, 16666, 19879, 16397, 16385, 22621, 16395, 16715, 19395, 16859, 16397, 17664, 16704, 17028, 20691, 16395, 16687, 17045, 19006, 16734, 16641, 18205, 16672, 16944, 16742, 16769, 22254, 27799, 16674, 16715, 16721, 16687, 17045, 27405, 16397, 16385, 16385, 18001, 17724, 16703, 23260, 16672, 16647, 34461, 16985, 16414, 16385, 16582, 16582, 16385, 19315, 16704, 17238, 26874, 16397, 19139, 16647, 17210, 16395, 19550, 16697, 16395, 16767, 16647, 17367, 52480, 23918, 19547, 16742, 17132, 17190, 16641, 17703, 19270, 16397, 16385, 16385, 18105, 16763, 16721, 16414, 16385, 16385, 17071, 16647, 18124, 16673, 16647, 34461, 16395, 17172, 16673, 26158, 16395, 17259, 16807, 22958, 16914, 43000, 16850, 16807, 17579, 16955, 16641, 26574, 16397, 16772, 34461, 19728, 16671, 17391, 17534, 16673, 16858, 16647, 25804, 16715, 16647, 43000, 16397, 16385, 16582, 16582, 16385, 22719, 16732, 18884, 16721, 16728, 16868, 16703, 19765, 17953, 16715, 17310, 16929, 17137, 16641, 22081, 26574, 16414, 16385, 16582, 16582, 16385, 21516, 16395, 16715, 17310, 16929, 16843, 16390, 16467, 17839, 16715, 16647, 28313, 16742, 16868, 17391, 17534, 16673, 17199, 16721, 28144, 16397, 17119, 16807, 29216, 16715, 16647, 24846, 16671, 16807, 16641, 25968, 16767, 16641, 23125, 18399, 16671, 16647, 34461, 16721, 24473, 16641, 31565, 33522, 16734, 28582, 16395, 16674, 16704, 17238, 44694, 16397, 18523, 16395, 16980, 16873, 17393, 16721, 16641, 27422, 16647, 34461, 16868, 20013, 17007, 16641, 47796, 16677, 25968, 16767, 16647, 34461, 23710, 16397, 17119, 16868, 16703, 21022, 16715, 16858, 16647, 25804, 16395, 16715, 16647, 26715, 16674, 16647, 17231, 16673, 16647, 22288, 16397, 16999, 16868, 16703, 19406, 16850, 16858, 17953, 16397, 20211, 16917, 16673, 16647, 40474, 16929, 16872, 16641, 18122, 23709, 20255, 16872, 21035, 16671, 17391, 17534, 16673, 16647, 41127, 16715, 16647, 17190, 16903, 16674, 16647, 20636, 36861, 18467, 16715, 16647, 39237, 16397, 17119, 16769, 18625, 27882, 16741, 16641, 18205, 16671, 16703, 17914, 16671, 17261, 17310, 16672, 17109, 16397, 16385, 16853, 49172, 21764, 17016, 16888, 17746, 17031, 28046, 16647, 18878, 16673, 16641, 34461, 16679, 16646, 16733, 19241, 16991, 17202, 17329, 16397, 17513, 16958, 18183, 16715, 16641, 20104, 34461, 20264, 16734, 16641, 18122, 24045, 17563, 16397, 17403, 17014, 16873, 18167, 16671, 17704, 16931, 16647, 26574, 16395, 16647, 25804, 16958, 17274, 16721, 16728, 16763, 22916, 16671, 17133, 16673, 17961, 16647, 26574, 16672, 16647, 20264, 16397, 16772, 20154, 16769, 16804, 32106, 16397, 16853, 49172, 16709, 18884, 17203, 51282, 16671, 16888, 17746, 17329, 16733, 18200, 16647, 17433, 16671, 16888, 34461, 21035, 16671, 17290, 16870, 16767, 16647, 18373, 16980, 19865, 16397, 18713, 17746, 29750, 16395, 16674, 17497, 16709, 16647, 17433, 16397, 17046, 16763, 22180, 16671, 17134, 16641, 35191, 16829, 17536, 16931, 16647, 19153, 16734, 43000, 16672, 16647, 20264, 16397, 16582, 16582, 38794, 16395, 19293, 16604, 16402, 16399, 16395, 16604, 16401, 16399, 16400, 16403, 16582, 16582, 16416, 18961, 22573, 16673, 18041, 16763, 16647, 18677, 18215, 16709, 16647, 18541, 16674, 16647, 21546, 16673, 16641, 43546, 16929, 24367, 16647, 17417, 16673, 17653, 43546, 16395, 24340, 16450, 19661, 16709, 16641, 40097, 19458, 16672, 19679, 16397, 43721, 16647, 39220, 43546, 16888, 22104, 43546, 16734, 17369, 18900, 19530, 16671, 49500, 16647, 16582, 60734, 16809, 52554, 16647, 30949, 16674, 18492, 16674, 16662, 19647, 35439, 36649, 16647, 16582, 60734, 16397, 17664, 16763, 16641, 22341, 16673, 17969, 29425, 16647, 19458, 16672, 16944, 16873, 16582, 16644, 55585, 16697, 44358, 16647, 43546, 16674, 16767, 16647, 17291, 16673, 16604, 16401, 16399, 19109, 16673, 63441, 16582, 43613, 16800, 16709, 16647, 17015, 16673, 16647, 17142, 22104, 50640, 16647, 39220, 43546, 16763, 16582, 33810, 17934, 16397, 22830, 20469, 16811, 18677, 16958, 19241, 16671, 17335, 50640, 16769, 16582, 43590, 17032, 23304, 16672, 21317, 19039, 16715, 16917, 17653, 16397, 16853, 16582, 27253, 16771, 16673, 16647, 27838, 36249, 16709, 16647, 20834, 19242, 16673, 16647, 19420, 16582, 47725, 16659, 39782, 16672, 21764, 16721, 16672, 16811, 17875, 20322, 17274, 18878, 16843, 16582, 17100, 19241, 16397, 53039, 16769, 16672, 16641, 18846, 17731, 16673, 17417, 16850, 16742, 17134, 21330, 16672, 16582, 16841, 17394, 16721, 16829, 16804, 17199, 20378, 16721, 16673, 16647, 50640, 16672, 16647, 18677, 16397, 19736, 16582, 16974, 23869, 16466, 17208, 17261, 16907, 17114, 18206, 16697, 16397, 19736, 24955, 16466, 16829, 16804, 17097, 17261, 16582, 16730, 16671, 18209, 18206, 16396, 19064, 16850, 16686, 18142, 16641, 30985, 20745, 17417, 16397, 41656, 16704, 16641, 17369, 16582, 16454, 18529, 18201, 16671, 16907, 16809, 16647, 45086, 16721, 16804, 17097, 22277, 16907, 16809, 17652, 16671, 18056, 16850, 20954, 16671, 17671, 17038, 19464, 16671, 16888, 21057, 16397, 17071, 20322, 16582, 17052, 17134, 17259, 20040, 25720, 16671, 18188, 16872, 16992, 65224, 16397, 21414, 16769, 16647, 16582, 53435, 17047, 16929, 16807, 18222, 44955, 16671, 34003, 17230, 17038, 38775, 19762, 16582, 16924, 26370, 16397, 17119, 16807, 17968, 16929, 24788, 16674, 18437, 16914, 19326, 16410, 43791, 57543, 18493, 17797, 17030, 43405, 16397, 36121, 16721, 16732, 16961, 16804, 16582, 16706, 28002, 22491, 16672, 16647, 22270, 29326, 16395, 16674, 16742, 16769, 19006, 16672, 16582, 16657, 56347, 36205, 16397, 16425, 17545, 33341, 16672, 52202, 16395, 16422, 18927, 16395, 16674, 30659, 16409, 16772, 16773, 17099, 16673, 22316, 36528, 26561, 16395, 16641, 16582, 27608, 35489, 16395, 16704, 30874, 16741, 18884, 16409, 16604, 16390, 17894, 36205, 30983, 16647, 18206, 16582, 31701, 29097, 16969, 38140, 16674, 16734, 39138, 18698, 16673, 20322, 20903, 50677, 23159, 16671, 30685, 16397, 16390, 16772, 20322, 16721, 16742, 16807, 17366, 16734, 22753, 16872, 17366, 16715, 16641, 17568, 20322, 16674, 17038, 50728, 16988, 16868, 17134, 16647, 18466, 16397, 18523, 16395, 33341, 17851, 16986, 16704, 17028, 18188, 16582, 16928, 16703, 33052, 16715, 16734, 17038, 18188, 16742, 16843, 16985, 16671, 17190, 17578, 16985, 16582, 16833, 27577, 16397, 17119, 16843, 25630, 16815, 16647, 25778, 21099, 16809, 18048, 16395, 16647, 16582, 16459, 16871, 16673, 35282, 16674, 16647, 18403, 17502, 16672, 20322, 16809, 17038, 20849, 16671, 17748, 17940, 16647, 20322, 16397, 18523, 16395, 16980, 16742, 16769, 16671, 16703, 20426, 16672, 17748, 20681, 16582, 16841, 36205, 16742, 16807, 16671, 17231, 17038, 18188, 16674, 18322, 16734, 16641, 18577, 16715, 16582, 17347, 35323, 16673, 16647, 18206, 17418, 16397, 16604, 16385, 23494, 19225, 16673, 33186, 16704, 28075, 16709, 16647, 17015, 16673, 17047, 16582, 16470, 21096, 16671, 16829, 18248, 16715, 19144, 21477, 16397, 22550, 17370, 21800, 16674, 18206, 16582, 20423, 16867, 26496, 18143, 18616, 16647, 22819, 16798, 16673, 47950, 19554, 16395, 16703, 16873, 17780, 16582, 16652, 23242, 26168, 16395, 17731, 20968, 16395, 16785, 20480, 16674, 19994, 16582, 16642, 18681, 18604, 16397, 17170, 25231, 17014, 18048, 16395, 16674, 16804, 16647, 18206, 17418, 16395, 16704, 16767, 16582, 17347, 20128, 16673, 16667, 19799, 17434, 16397, 20648, 16395, 16647, 17418, 16395, 17366, 16672, 16647, 19521, 16673, 16582, 26499, 16674, 23057, 16734, 25067, 16679, 17030, 16858, 23207, 16395, 17724, 16703, 16767, 16647, 20128, 16582, 17663, 17155, 18237, 16785, 19799, 17434, 16397, 18196, 16647, 17418, 16704, 24301, 16809, 16582, 16460, 16707, 19345, 16395, 16641, 17242, 24219, 16673, 19795, 25231, 16900, 16604, 16391, 55460, 21786, 16390, 27838, 36089, 16604, 16401, 16399, 16400, 16404, 16392, 16397, 16853, 16582, 27253, 16771, 22866, 16888, 18878, 16809, 21259, 16858, 16673, 16907, 16671, 17261, 16647, 17394, 16721, 16704, 16582, 16451, 19441, 16703, 32213, 17521, 16809, 16647, 24557, 16673, 18056, 16397, 17119, 16807, 16671, 19529, 16672, 16811, 16582, 18014, 16674, 16804, 17882, 16903, 16397, 17119, 16807, 16671, 53754, 16811, 20268, 16672, 17038, 16582, 26918, 17186, 16397, 16582, 16582, 37887, 16395, 19293, 16604, 16401, 16408, 16395, 16604, 16401, 16399, 16400, 16403, 16582, 16582, 18571, 17257, 16917, 16969, 21389, 16673, 16641, 22184, 18479, 16414, 17170, 16763, 16641, 22573, 16672, 16641, 20011, 16582, 22246, 18041, 31783, 16809, 16647, 23309, 57764, 16397, 18483, 16673, 16647, 16582, 58077, 17575, 16395, 16641, 30801, 58690, 25846, 18702, 16395, 18183, 17030, 16888, 17304, 17417, 16582, 33329, 49164, 16395, 23078, 16888, 20834, 16397, 35773, 16733, 17851, 16582, 31736, 16961, 17659, 16671, 17107, 16734, 16914, 19153, 16410, 34312, 16914, 16582, 20544, 20340, 16964, 16674, 18183, 16715, 17261, 16397, 23567, 16395, 17797, 16395, 22081, 19153, 16582, 16770, 16647, 16945, 16395, 16674, 16733, 16961, 21573, 16397, 22191, 16647, 23787, 16733, 16961, 17704, 19126, 16395, 16980, 16804, 18271, 16395, 16785, 16969, 48097, 16672, 17016, 16763, 17031, 16395, 16672, 17154, 16582, 34421, 17310, 16929, 18112, 16715, 17261, 17291, 16903, 16734, 16914, 17304, 21241, 16397, 23879, 16929, 18112, 16715, 17261, 16958, 22476, 16734, 64097, 17030, 16914, 16582, 59592, 18450, 16674, 16809, 16994, 19699, 17030, 16647, 18710, 16873, 17494, 19578, 16815, 16647, 18262, 16914, 21444, 16955, 17030, 17007, 16397, 18196, 16873, 17494, 16582, 44991, 16815, 16647, 27214, 16734, 16647, 30801, 16728, 19296, 17107, 17369, 24017, 16397, 17071, 16582, 30562, 17304, 17417, 17016, 19812, 17107, 17240, 24017, 16674, 20689, 16395, 16674, 16647, 35865, 16671, 16582, 19925, 16888, 17210, 16673, 17417, 16763, 17005, 20096, 16672, 33455, 16397, 17046, 40342, 16582, 16643, 18191, 16672, 16641, 29171, 16647, 18878, 16604, 16390, 26499, 16673, 18496, 16390, 16944, 23373, 16888, 16582, 18573, 16804, 16671, 16703, 28280, 16397, 16772, 17210, 18056, 23373, 16647, 17417, 16673, 16647, 16582, 34373, 19127, 16395, 18056, 16763, 26495, 16888, 17304, 17417, 16674, 16733, 18612, 16671, 43005, 16647, 16582, 17532, 16733, 26415, 17030, 16647, 17202, 16397, 17046, 16763, 16804, 16582, 16449, 18829, 17521, 16741, 16667, 30392, 16850, 17437, 16672, 16647, 28867, 23724, 16673, 35748, 18795, 16395, 16582, 16770, 16733, 18167, 16709, 16671, 16647, 19878, 19354, 17362, 17613, 16397, 17046, 19273, 16721, 16733, 16763, 17255, 16582, 17400, 18184, 16647, 17210, 16809, 16667, 35458, 17459, 16395, 16944, 16763, 18056, 16390, 16466, 16868, 16715, 17107, 16397, 17376, 16582, 16448, 16774, 26328, 16733, 18612, 16671, 16854, 16671, 21637, 16715, 19831, 16850, 20290, 16647, 16977, 16582, 62723, 21431, 16647, 17709, 16733, 17796, 16733, 16961, 17669, 16647, 27862, 16395, 16850, 16733, 16582, 30086, 21431, 16397, 17426, 16733, 16955, 20493, 16647, 19146, 16733, 16961, 16807, 16992, 55702, 16671, 16582, 17347, 63684, 16672, 21637, 16850, 17961, 21431, 16733, 16763, 17914, 16671, 16703, 16582, 20110, 16888, 17797, 16767, 20723, 18057, 16397, 17611, 16763, 18201, 16641, 16582, 24031, 19992, 19232, 16671, 18077, 16672, 21298, 17187, 16733, 18167, 16709, 16671, 18077, 25149, 16582, 39663, 22253, 16472, 23301, 16671, 19666, 16931, 39376, 16815, 16667, 25149, 22410, 16397, 16853, 19831, 20683, 17107, 26222, 16671, 17158, 16715, 16647, 16868, 16673, 18056, 16672, 16888, 17304, 16582, 21806, 16397, 40418, 17016, 18056, 19909, 16815, 17107, 16704, 17187, 16733, 16704, 17914, 16671, 17393, 16582, 16455, 60007, 16397, 17635, 16704, 16647, 17514, 17210, 16673, 16804, 17255, 16641, 31636, 16671, 27022, 22823, 16721, 16843, 18595, 54024, 17065, 17038, 19261, 16397, 16582, 16582, 36827, 16395, 19293, 16604, 16401, 16407, 16395, 16604, 16401, 16399, 16400, 16403, 16582, 16582, 24794, 16704, 23931, 22714, 19986, 16674, 16647, 48605, 16672, 16647, 43576, 52649, 16582, 16470, 17575, 16907, 16671, 17134, 16667, 20583, 16673, 17797, 17417, 16742, 45796, 16397, 16711, 33479, 16929, 16582, 30992, 16673, 16991, 38452, 17186, 16763, 32157, 16815, 16647, 18210, 16744, 16818, 16715, 16991, 16582, 18489, 17366, 16667, 23419, 16709, 16647, 20041, 16674, 18151, 16647, 21586, 16409, 16604, 16385, 18811, 16687, 16763, 16672, 22736, 16728, 16763, 17097, 16887, 17797, 16721, 19296, 16848, 17564, 16674, 21034, 16397, 16385, 16582, 18811, 16647, 30801, 43278, 17213, 16674, 18655, 18878, 16733, 21492, 30097, 16397, 35773, 16742, 21033, 16647, 20285, 16673, 17797, 16671, 23394, 16769, 18321, 20287, 16673, 16582, 24760, 16641, 17797, 16704, 16397, 16999, 21083, 16641, 29907, 16671, 19238, 22938, 16674, 16671, 40128, 16582, 17252, 16466, 16397, 19912, 21445, 16829, 16742, 16969, 17038, 20899, 49278, 16414, 16772, 16582, 37274, 17311, 19294, 17659, 16815, 17310, 16721, 16687, 17039, 17514, 16395, 16815, 17310, 28695, 16671, 16582, 17484, 16397, 22830, 16929, 16769, 16804, 18399, 16671, 16907, 16395, 17199, 16980, 16647, 18878, 16769, 20645, 16671, 16582, 27018, 33097, 17369, 21181, 16395, 16873, 17121, 16390, 16467, 16829, 17240, 20474, 16397, 17119, 16807, 17687, 26218, 16582, 16642, 35714, 17007, 16397, 17403, 16728, 16704, 17476, 16734, 17310, 18399, 16671, 16907, 16409, 16582, 63852, 16672, 16647, 17797, 16395, 23201, 17415, 16647, 19326, 16395, 60640, 16671, 16582, 17347, 18208, 16672, 16647, 17797, 16704, 17653, 18798, 16397, 39883, 16672, 16647, 17797, 16704, 16582, 16909, 39805, 16917, 16704, 16804, 17914, 16671, 19202, 16931, 16728, 16397, 21414, 20571, 19172, 16671, 17335, 16728, 16704, 17028, 19348, 18234, 16850, 16647, 49278, 16721, 16769, 57799, 16395, 30094, 16671, 17016, 16742, 17123, 17133, 16395, 16769, 17259, 16397, 19659, 16582, 32387, 16672, 16647, 18074, 16742, 16955, 17259, 20422, 19006, 18226, 16672, 43876, 21810, 16672, 16582, 17347, 17396, 18843, 16397, 24019, 18789, 16647, 21892, 16763, 16641, 23831, 17418, 16395, 16873, 16961, 16582, 16828, 18209, 16672, 36746, 22252, 16734, 17492, 18208, 18467, 16397, 24794, 16734, 16647, 32430, 16721, 16807, 16992, 17366, 16395, 17259, 16673, 16647, 18467, 16582, 29515, 32018, 16397, 17403 ]
[ 0, 16385, 16391, 16417, 17879, 29345, 18311, 16759, 22217, 23004, 16440, 16392, 16385, 16604, 16385, 18001, 26820, 16811, 16397, 16397, 16397, 16385, 16604, 16385, 18001, 16829, 16397, 16385, 16604, 16385, 18001, 16390, 16690, 23981, 16728, 16397, 16385, 16604, 16385, 16391, 26517, 16430, 32285, 16392, 16385, 16604, 16385, 16424, 16843, 16829, 16858, 17578, 16397, 16385, 16604, 16385, 19315, 17578, 16397, 16385, 16604, 16385, 30572, 16709, 16397, 16397, 16397, 16385, 16604, 16385, 30572, 16709, 16395, 17659, 16709, 16397, 16397, 16397, 16385, 16604, 16385, 16391, 24568, 18957, 52305, 19725, 16392, 16385, 16604, 16385, 16424, 17045, 16647, 31128, 16716, 16724, 17662, 16397, 16385, 16604, 16385, 36182, 25289, 16671, 17155, 19189, 16687, 17335, 16397, 16385, 16604, 16385, 18377, 16868, 16703, 17028, 48867, 16397, 16385, 16604, 16385, 16424, 17660, 16390, 16467, 64853, 16715, 16647, 61395, 16732, 16390, 16690, 46175, 25880, 16811, 18392, 16604, 16390, 20230, 16647, 36651, 16674, 43848, 16958, 19865, 16397, 16385, 16604, 16385, 18879, 36625, 16704, 16641, 18474, 30111, 16672, 17213, 19851, 18032, 16395, 16674, 16980, 16732, 16843, 16390, 16467, 25540, 17038, 22525, 17650, 16395, 16732, 17660, 16390, 16467, 25540, 16672, 16647, 17980, 16397, 16385, 16604, 16385, 23879, 20349, 16396, 42428, 23503, 19530, 16671, 16969, 16811, 17963, 16674, 21431, 16397, 16385, 16604, 16385, 18001, 16807, 34056, 16397, 16385, 16604, 16385, 18111, 17178, 16647, 18551, 20041, 24166, 17329, 16732, 16397, 16385, 16604, 16385, 19494, 17367, 60187, 53098, 16732, 16815, 16912, 19708, 16604, 16396, 16944, 16704, 16671, 21004, 17038, 31295, 27215, 29779, 16397, 16385, 16604, 16385, 16853, 17709, 16704, 19406, 16672, 23576, 16395, 18352, 16728, 16868, 21349, 16929, 22485, 16811, 18392, 16734, 16641, 19436, 16673, 23428, 16674, 16929, 22485, 16734, 16647, 17433, 32512, 17616, 16397, 16385, 16604, 16385, 30000, 17213, 26364, 16395, 16732, 16390, 16690, 25830, 16991, 18479, 16673, 16647, 17803, 16673, 16811, 27517, 16395, 16859, 18360, 16848, 17014, 16687, 17921, 16732, 16721, 16986, 16390, 16466, 17028, 17780, 16672, 16811, 18392, 16850, 17038, 17780, 16397, 16385, 16604, 16385, 18111, 16647, 17097, 20248, 16672, 17348, 16769, 17038, 20248, 16397, 16385, 16604, 16385, 18377, 16390, 16466, 16917, 18283, 17329, 16732, 16395, 16674, 16917, 19481, 16704, 19062, 16397, 16385, 16604, 16385, 17991, 16732, 17590, 16671, 26610, 16734, 19110, 16785, 16647, 22876, 16395, 16732, 16868, 16703, 16952, 42428, 16397, 16385, 16604, 16385, 17991, 16732, 49562, 16912, 19420, 16395, 37669, 16785, 34908, 16395, 16732, 16868, 16703, 16952, 42428, 16397, 16385, 16604, 16385, 17991, 16732, 20446, 16671, 19220, 16647, 18392, 16715, 16998, 18188, 16395, 16732, 16868, 16703, 16952, 42428, 16397, 16385, 16604, 16385, 22164, 19126, 16414, 16385, 16604, 16385, 26720, 16673, 20654, 16395, 31286, 16674, 46695, 16397, 16385, 16604, 16385, 17507, 16390, 16644, 19813, 16647, 20545, 16673, 16732, 16604, 16407, 16399, 19109, 16397, 16385, 16604, 16385, 16407, 16399, 19109, 16671, 30236, 16907, 16732, 16807, 17016, 16728, 19198, 16671, 21004, 16907, 16397, 16385, 16604, 16385, 16407, 16399, 19109, 16671, 21349, 16647, 17718, 16604, 16407, 16399, 17202, 16673, 16912, 19261, 16397, 16385, 16604, 16385, 38189, 16397, 16385, 16604, 16385, 16424, 16390, 16460, 16804, 21392, 16397, 16385, 16604, 16385, 19084, 16395, 19600, 16397, 16385, 16604, 16385, 18001, 16843, 16390, 16467, 16384, 16385, 16604, 16385, 17635, 18405, 16390, 16467, 16641, 18027, 17709, 16384, 16385, 16604, 16385, 23844, 16395, 16687, 16390, 16683, 17298, 17030, 16384, 16385, 16604, 16385, 21260, 17882, 16848, 16641, 19489, 16384, 16385, 16604, 16385, 16391, 16434, 18743, 16719, 22777, 18311, 16392, 16385, 16604, 16385, 16391, 20961, 26911, 29457, 16672, 16719, 27255, 17759, 57588, 16392, 16385, 16604, 16385, 27064, 16397, 16397, 16397, 16385, 16604, 16385, 36182, 16395, 21573, 16395, 21573, 16395, 21573, 16397, 16385, 16604, 16385, 17409, 16390, 16466, 16804, 16931, 17016, 16733, 17031, 16395, 16732, 17039, 16397, 16385, 16604, 16385, 17409, 16390, 16466, 17016, 16733, 17727, 16390, 16467, 17335, 16397, 16385, 16604, 16385, 16385, 63632, 16732, 19443, 16671, 26610, 16397, 16397, 16397, 16385, 16385, 16604, 16385, 16397, 16397, 20110, 19110, 16785, 16647, 22876, 16397, 16397, 16397, 16604, 16397, 16397, 22225, 16868, 16703, 16952, 42428, 16397, 16385, 16604, 16385, 17046, 17727, 16390, 16467, 17335, 16397, 16397, 16397, 16385, 16604, 16385, 16604, 16397, 16397, 17052, 16843, 16390, 16467, 19202, 16671, 17492, 16977, 16397, 16385, 16604, 16385, 19360, 16732, 16390, 16644, 19699, 16397, 16385, 16604, 16385, 17602, 16811, 16647, 26951, 18282, 16396, 36659, 16785, 17016, 16414, 16385, 16604, 16385, 24434, 18777, 27290, 16891, 16647, 19481, 16414, 16385, 16604, 16385, 17933, 16397, 16385, 16604, 16385, 17409, 16390, 16466, 16804, 16931, 16647, 19481, 16397, 16385, 16604, 16385, 17409, 16390, 16466, 16931, 16647, 18283, 16397, 16385, 16604, 16385, 17887, 16390, 16466, 16647, 18283, 16414, 16385, 16604, 16385, 17119, 16390, 16690, 17497, 16604, 16406, 16403, 19109, 17939, 16671, 20458, 16891, 16397, 16385, 16604, 16385, 16391, 16438, 19121, 18013, 16392, 17426, 16647, 19481, 19198, 16917, 22245, 16671, 19666, 17285, 16397, 16385, 16604, 16385, 17991, 16728, 19198, 16604, 16406, 16402, 19109, 16671, 19666, 16395, 16742, 16807, 16917, 22245, 16671, 19769, 16647, 18283, 16397, 16385, 16604, 16385, 17507, 16390, 16644, 18187, 16709, 19184, 18692, 16397, 16385, 16604, 16385, 16424, 16390, 16460, 37019, 16728, 16390, 16466, 16647, 19022, 16397, 16385, 16604, 16385, 17507, 16390, 16690, 29634, 17261, 17492, 16977, 16397, 16385, 16604, 16385, 17507, 16390, 16644, 16672, 21667, 16397, 16385, 16604, 16385, 21127, 17208, 16687, 17261, 16732, 16671, 21116, 16848, 16414, 16385, 16604, 16385, 17507, 17123, 16703, 16672, 21667, 16671, 19481, 16647, 18283, 16395, 16850, 16671, 21177, 16647, 18283, 16742, 16807, 16671, 44069, 16397, 16385, 16604, 16385, 19537, 17924, 16907, 16671, 44069, 16395, 17121, 16390, 16467, 16873, 16414, 16385, 16604, 16385, 18105, 16390, 16451, 16732, 17924, 16395, 16732, 16390, 16644, 21848, 17942, 16811, 17980, 16395, 16734, 16858, 16647, 31627, 16721, 17659, 16734, 16728, 16395, 16809, 19813, 17007, 16641, 17687, 19406, 19517, 19481, 16414, 16385, 16604, 16385, 16421, 24922, 16674, 25608, 16414, 16385, 16604, 16385, 47130, 16674, 23065, 16604, 16391, 16384, 16385, 16604, 16385, 16392, 16385, 16604, 16385, 19537, 16390, 16644, 16804, 18183, 16715, 16721, 16397, 16385, 16604, 16385, 16416, 17980, 16945, 16811, 18467, 26044, 16395, 28536, 16397, 16397, 16397, 16385, 16604, 16385, 16397, 16397, 19595, 18396, 16397, 16385, 16604, 16385, 22702, 18014, 16397, 16385, 16604, 16385, 17611, 16390, 16466, 17262, 16397, 16385, 16604, 16385, 16604, 16391, 16438, 19121, 18013, 16392, 17119, 16390, 16644, 16672, 16641, 20962, 26095, 16397, 16385, 16604, 16385, 16416, 32378, 16395, 17005, 16396, 47281, 19580, 20087, 16671, 17709, 17038, 23550, 16395, 16674, 40273, 16397, 16385, 16604, 16385, 17999, 18595, 16891, 16647, 22085, 16672, 16907, 16397, 16385, 16604, 16385, 16604, 16391, 31409, 16392, 17937, 16647, 17514, 16397, 16385, 16604, 16385, 17507, 17261, 17492, 16977, 18015, 16647, 19034, 18676, 16704, 17671, 17177, 16728, 16390, 16466, 17155, 16947, 16715, 19172, 16604, 16396, 17028, 38585, 16395, 21274, 16397, 16385, 16604, 16385, 19898, 16742, 16858, 22292, 16414, 16385, 16604, 16385, 20648, 16397, 16385, 16604, 16385, 21926, 49946, 16397, 16385, 16604, 16385, 19412, 16390, 16466, 16854, 16395, 41235, 16397, 16385, 16604, 16385, 18101, 17830, 18405, 16390, 16467, 41235, 16395, 17746, 16397, 16385, 16604, 16385, 17409, 16390, 16466, 16397, 16397, 16397, 16385, 16604, 16385, 19084, 20737, 16397, 16385, 16604, 16385, 19659, 17446, 19528, 16395, 22464, 16397, 16385, 16604, 16385, 19537, 16390, 16644, 16804, 19517, 16709, 16811, 16715, 16641, 18188, 16397, 16385, 16604, 16385, 17507, 16390, 16683, 17231, 30436, 24535, 16395, 17177, 16397, 16385, 16604, 16385, 17958, 17262, 16395, 17723, 16390, 16466, 17190, 16811, 18994, 16397, 16385, 16604, 16385, 17119, 18022, 16807, 20246, 16397, 16385, 16604, 16385, 26042, 16395, 16674, 22065, 16397, 16385, 16604, 16385, 18001, 16390, 16644, 19899, 16397, 16385, 16604, 16385, 16424, 16390, 16460, 20408, 16397, 16385, 16604, 16385, 18001, 16390, 16644, 21893, 16397, 16385, 16604, 16385, 17507, 16390, 16690, 17497, 18036, 30840, 17348, 16395, 16385, 16604, 16385, 16417, 21282, 20983, 16986, 16397, 16397, 16397, 16604, 16397, 16397, 33505, 16395, 16687, 26071, 16397, 16385, 16604, 16385, 18111, 17367, 16741, 17204, 16741, 17965, 16742, 16390, 16690, 17497, 17267, 18404, 16397, 16385, 16604, 16385, 61941, 17367, 20011, 16397, 16385, 16604, 16385, 21366, 16395, 20611, 16397, 16385, 16604, 16385, 22164, 45866, 16414, 16385, 16604, 16385, 50124, 16815, 16912, 27228, 16697, 61798, 21077, 16674, 29494, 52457, 16661, 16414, 16385, 16604, 16385, 17991, 16732, 16390, 16644, 16647, 25628, 18383, 16395, 16732, 22976, 16390, 16467, 16703, 17348, 16395, 17652, 16397, 16385, 16604, 16385, 16424, 16390, 16683, 17391, 21893, 17030, 41235, 16395, 16742, 16390, 16644, 19699, 16931, 17536, 16721, 22742, 16397, 16385, 16604, 16385, 16424, 16390, 16683, 17391, 16721, 16741, 16641, 19585, 16397, 16385, 16604, 16385, 16391, 16466, 17106, 16466, 16759, 22217, 23004, 16440, 16392, 16385, 16604, 16385, 18473, 16395, 17016, 18118, 23250, 16390, 16467, 16733, 42668, 16414, 16385, 16604, 16385, 17611, 23250, 16390, 16467, 42668, 16907, 16671, 17760, 16395, 16872, 16733, 16414, 16385, 16604, 16385, 19845, 16395, 16687, 19769, 20069, 16931, 16704, 25906, 17441, 16397, 16385, 16604, 16385, 17887, 16390, 16466, 16721, 21848, 20449, 16414, 16385, 16604, 16385, 16424, 17121, 16390, 16467, 17039, 16395, 21893, 16397, 16385, 16604, 16385, 18129, 22096, 18833, 16390, 16467, 18119, 16907, 23308, 23338, 16397, 16385, 16604, 16385, 18105, 16980, 16647, 18283, 16704, 19517, 17285, 16850, 16742, 16994, 16843, 16390, 16467, 17134, 16728, 16414, 16385, 16604, 16385, 18867, 16390, 16466, 17016, 16687, 16390, 16460, 19699, 16931, 16384, 16385, 16604, 16385, 17332, 17881, 16945, 35458, 31598, 16414, 16385, 16604, 16385, 17937, 16641, 17969, 19632, 16397, 16385, 16604, 16385, 16999, 16390, 16466, 18230, 16397, 16385, 16604, 16385, 16999, 16390, 16466, 38438, 16397, 16385, 16604, 16385, 23852, 18118, 16961, 16728, 16703, 16414, 16385, 16604, 16385, 16391, 26062, 21225, 19093, 23163, 16392, 17119, 16390, 16451, 17109, 17536, 16671, 26132, 16728, 16397, 16385, 16604, 16385, 24647, 18109, 16397, 16385, 16604, 16385, 23706, 16397, 16385, 16604, 16385, 22830, 16769, 25979, 21886, 16397, 16385, 16604, 16385, 27943, 19929, 16390, 16467, 16397, 16385, 16604, 16385, 19537, 17660, 16390, 16467, 31828, 16395, 16732, 17039, 16397, 16385, 16604, 16385, 19537, 16390, 16644, 16804, 21848, 17190, 16728, 16721, 18994, 16395, 16769, 16873, 16414, 16385, 16604, 16385, 17507, 16390, 16644, 16709, 16647, 25219, 16397, 16385, 16604, 16385, 18571, 17747, 16843, 16873, 21665, 16671, 17190, 16728, 16414, 16385, 16604, 16385, 18105, 16980, 16647, 37897, 18405, 16390, 16467, 16994, 16715, 19184, 16647, 19481, 16414, 16385, 16604, 16385, 18105, 16980, 16728, 27873, 16647, 18283, 17441, 16414, 16385, 16604, 16385, 18753, 16812, 19880, 16647, 19242, 16395, 16945, 49785, 19420, 16414, 16385, 16604, 16385, 25641, 16728, 16395, 18036, 30840, 16397, 16385, 16604, 16385, 17933, 16397, 16385, 16604, 16385, 33807, 17016, 16733, 17031, 16397, 16385, 16604, 16385, 17991, 16732, 49562, 16912, 19420, 16395, 37669, 16785, 34908, 16397, 16397, 16397, 16604, 16397, 16397, 22225, 16390, 16683, 16703, 16952, 42428, 16397, 16385, 16604, 16385, 19068, 18777, 18244, 16873, 17039, 17016, 16888, 23208, 16673, 26830, 20883, 16704, 16414, 16385, 16604, 16385, 24067, 16395, 17723, 16390, 16466, 27393, 16811, 16397, 16385, 16604, 16385, 38594, 16891, 16991, 20385, 16397, 16385, 16604, 16385, 18105, 16980, 16647, 19126, 16769, 25005, 16672, 16647, 19420, 16395, 16850, 17492, 16673, 16907, 16872, 16671, 19666, 16641, 17476, 19481, 16414, 16385, 16604, 16385, 17611, 17031, 16397, 16397, 16397, 16385, 16604, 16385, 18377, 16390, 16466, 16917, 18283, 17329, 16732, 16395, 16674, 16917, 19481, 16704, 19062, 16397, 16385, 16604, 16385, 18867, 17930, 16390, 16467, 17881, 16728, 16390, 16466, 16647, 17396, 18283, 16715, 17492, 16673, 16907, 16397, 16385, 16604, 16385, 18377, 17120, 16703, 20545, 17476, 19126, 16674, 23707, 16397, 16385, 16604, 16385, 17991, 16742, 17393, 16917, 18283, 16395, 16742, 16843, 17393, 17007, 16858, 16397, 16385, 16604, 16385, 19659, 23902, 16397, 16385, 16604, 16385, 19659, 16980, 17038, 20545, 18403, 19126, 16843, 17097, 16703, 22130, 17655, 20545, 17476, 20625, 16397, 16385, 16604, 16385, 31621, 16742, 16390, 16644, 16804, 20645, 16671, 44069, 16767, 16858, 16397, 16385, 16604, 16385, 16424, 16945, 16721, 18479, 16397, 16385, 16604, 16385, 19701, 16986, 16390, 16466, 17097, 16917, 18283, 16395, 27361, 16709, 17097, 16917, 16673, 17038, 32730, 16397, 16385, 16604, 16385, 19488, 16742, 16390, 16451, 17109, 16671, 44069, 16397, 16397, 16397, 16385, 16604, 16385, 21465, 16396, 16833, 16715, 16991, 21544, 16397, 16385, 16604, 16385, 26775, 16903, 16671, 16647, 18109, 16397, 16385, 16604, 16385, 16687, 17031, 16728, 17660, 16390, 16467, 16703, 16721, 18994, 16397, 16385, 16604, 16385, 43001, 16732, 17137, 16671, 17190, 16641, 17685, 16673, 17038, 20483, 55618, 16395, 20408, 16395, 16385, 16604, 16385, 16424, 17335, 16742, 19532, 16641, 17589, 17021, 16741, 16742, 16854, 16397, 16385, 16604, 16385, 53786, 16397, 16385, 16604, 16385, 16391, 27423, 31622, 16392, 38907, 16848, 16397, 16385, 16604, 16385, 23754, 16732, 16397, 16385, 16604, 16385, 26042, 16395, 21004, 16672, 16998, 17005, 16395, 17267, 18404, 16604, 16391, 16384, 16385, 16604, 16385, 16392, 16385, 16604, 16385, 19659, 16917, 16715, 17785, 17966, 16395, 16769, 16732, 16414, 16385, 16604, 16385, 30572, 16397, 16385, 16604, 16385, 24268, 17271, 16395, 16732, 16390, 16683, 16969, 16728, 17141, 16604, 16391, 16384, 16385, 16604, 16385, 16392, 16385, 16604, 16385, 24647, 16687, 17031, 16395, 16687, 17133, 16742, 16843, 24450, 18109, 17021, 16647, 17685, 16397, 16385, 16604, 16385 ]
[ 0, 16400, 16397, 35453, 16604, 16474, 16386, 19810, 16400, 16396, 18894, 16646, 17057, 16396, 16400, 16406, 16396, 16399, 16399, 16406, 16407, 16402, 16476, 16582, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16582, 16582, 16853, 25778, 16672, 22187, 16390, 16466, 21374, 31585, 16674, 19359, 24585, 16604, 16443, 16442, 16442, 16415, 16417, 16400, 16396, 18894, 16646, 17057, 16396, 16400, 16406, 16396, 16399, 16399, 16406, 16407, 16402, 16444, 16443, 16444, 16704, 16673, 19039, 16715, 17726, 17730, 16672, 18723, 16674, 16715, 18982, 21859, 16672, 18343, 16395, 16944, 21384, 16641, 23454, 17679, 16673, 27288, 20134, 16674, 32589, 21374, 19994, 26168, 16397, 16875, 55946, 16395, 16986, 16704, 19591, 16721, 18198, 17047, 16829, 16804, 17015, 16930, 16672, 29258, 19902, 19962, 16410, 16721, 16704, 16395, 17097, 17473, 16604, 16402, 16399, 16388, 16673, 18095, 26661, 16604, 16400, 16407, 17202, 31041, 16734, 16647, 29896, 16671, 16703, 20432, 49612, 16400, 16678, 16709, 16767, 17965, 16604, 16404, 17897, 16641, 17649, 16604, 16443, 16442, 16442, 16415, 16417, 16401, 16396, 18894, 16646, 17057, 16396, 16400, 16406, 16396, 16399, 16399, 16406, 16407, 16402, 16444, 16443, 16444, 16397, 16772, 25904, 16715, 17730, 16396, 21670, 19902, 28227, 18493, 42753, 16807, 35400, 16895, 16672, 16647, 18074, 16604, 16401, 16399, 17202, 16395, 16674, 16647, 34587, 16673, 50601, 16779, 47176, 19019, 28227, 16807, 27364, 16809, 20113, 16604, 16404, 16399, 16388, 17560, 16811, 18472, 16604, 16443, 16442, 16442, 16415, 16417, 16402, 16396, 18894, 16646, 17057, 16396, 16400, 16406, 16396, 16399, 16399, 16406, 16407, 16402, 16444, 16443, 16444, 16397, 22494, 16604, 16400, 16402, 16396, 16396, 16400, 16403, 16388, 16673, 17362, 17613, 18095, 31041, 16734, 25674, 16715, 21374, 31267, 16604, 16443, 16442, 16442, 16415, 16417, 16403, 16396, 18894, 16646, 17057, 16396, 16400, 16406, 16396, 16399, 16399, 16406, 16407, 16402, 16444, 16395, 16442, 16415, 16417, 16404, 16396, 18894, 16646, 17057, 16396, 16400, 16406, 16396, 16399, 16399, 16406, 16407, 16402, 16444, 16443, 16444, 16395, 16604, 16400, 16400, 16388, 16673, 18198, 17047, 35174, 22712, 16604, 16443, 16442, 16442, 16415, 16417, 16405, 16396, 18894, 16646, 17057, 16396, 16400, 16406, 16396, 16399, 16399, 16406, 16407, 16402, 16444, 16443, 16444, 16397, 26367, 16395, 16604, 16401, 16401, 16388, 18019, 28339, 36694, 16604, 16443, 16442, 16442, 16415, 16417, 16406, 16396, 18894, 16646, 17057, 16396, 16400, 16406, 16396, 16399, 16399, 16406, 16407, 16402, 16444, 16443, 16444, 16397, 39107, 17730, 31585, 16395, 28339, 36694, 16395, 16674, 16914, 19970, 18813, 20671, 16395, 17274, 16741, 34147, 16674, 20154, 19902, 28227, 16395, 16769, 19970, 16734, 20154, 21336, 17730, 25178, 16395, 16647, 18813, 16673, 36632, 20062, 16395, 18383, 16604, 16401, 26600, 16395, 18244, 20286, 16673, 20053, 16604, 16443, 16442, 16442, 16415, 16417, 16407, 16396, 18894, 16646, 17057, 16396, 16400, 16406, 16396, 16399, 16399, 16406, 16407, 16402, 16444, 16395, 16442, 16415, 16417, 16408, 16396, 18894, 16646, 17057, 16396, 16400, 16406, 16396, 16399, 16399, 16406, 16407, 16402, 16444, 16443, 16444, 16395, 24951, 16604, 16443, 16442, 16442, 16415, 16417, 16400, 16399, 16396, 18894, 16646, 17057, 16396, 16400, 16406, 16396, 16399, 16399, 16406, 16407, 16402, 16444, 16395, 16442, 16415, 16417, 16400, 16400, 16396, 18894, 16646, 17057, 16396, 16400, 16406, 16396, 16399, 16399, 16406, 16407, 16402, 16444, 16443, 16444, 16395, 16674, 24954, 16604, 16443, 16442, 16442, 16415, 16417, 16400, 16401, 16396, 18894, 16646, 17057, 16396, 16400, 16406, 16396, 16399, 16399, 16406, 16407, 16402, 16444, 16443, 16444, 16397, 17144, 37978, 31585, 17027, 35432, 16667, 19799, 27422, 16410, 16715, 18185, 16395, 16917, 18077, 23381, 16721, 19902, 16672, 34984, 19958, 20079, 32069, 16604, 16404, 16402, 16397, 16407, 19852, 16672, 16604, 16401, 16399, 16400, 16402, 16715, 23819, 24278, 16604, 16443, 16442, 16442, 16415, 16417, 16400, 16402, 16396, 18894, 16646, 17057, 16396, 16400, 16406, 16396, 16399, 16399, 16406, 16407, 16402, 16444, 16443, 16444, 16397, 16582, 16582, 29002, 16704, 16647, 17736, 45440, 16715, 30729, 16785, 53239, 18198, 18102, 17065, 19994, 18224, 16604, 16391, 21332, 16392, 16674, 16704, 24906, 19359, 16671, 16647, 19629, 16671, 17783, 19994, 27738, 16397, 17144, 16466, 35026, 23023, 18466, 16673, 22187, 33976, 16671, 46624, 17060, 24092, 16807, 16992, 20905, 16409, 16709, 19183, 16395, 16604, 16404, 16407, 16397, 16405, 16388, 16673, 46624, 17060, 18198, 18102, 22040, 17181, 16647, 17769, 23914, 16673, 19994, 57999, 16797, 16397, 27385, 17310, 16929, 16829, 16804, 17669, 17213, 24218, 16395, 16604, 16402, 16402, 16388, 16396, 16396, 16402, 16406, 16388, 18019, 28339, 19153, 16395, 16604, 16401, 16408, 16388, 16396, 16396, 16402, 16402, 16388, 16807, 36632, 24720, 16395, 16674, 16604, 16400, 16402, 16388, 16807, 17775, 19252, 52096, 42374, 19153, 16604, 16443, 16442, 16442, 16415, 16417, 16400, 16403, 16396, 18894, 16646, 17057, 16396, 16400, 16406, 16396, 16399, 16399, 16406, 16407, 16402, 16444, 16443, 16444, 16397, 20735, 19328, 18492, 18655, 19153, 16673, 36871, 16815, 24092, 16397, 17544, 20845, 16395, 19335, 16673, 16647, 20541, 16715, 36871, 16815, 24092, 16672, 16647, 21119, 17494, 16721, 16931, 16604, 16401, 16401, 16388, 16673, 16691, 30665, 16958, 17172, 16673, 19153, 16734, 30769, 16785, 39377, 16395, 22415, 20510, 16395, 16785, 16968, 16461, 21253, 16395, 16604, 16400, 16404, 16388, 17172, 16673, 17840, 36820, 16395, 16604, 16400, 16402, 16388, 17172, 16673, 36820, 16673, 16647, 36632, 17434, 16395, 16604, 16400, 16401, 16388, 17172, 16673, 27371, 17434, 16785, 21336, 19153, 16395, 16674, 16604, 16400, 16399, 16388, 17172, 16673, 17543, 37961, 24720, 16604, 16443, 16442, 16442, 16415, 16417, 16400, 16404, 16396, 18894, 16646, 17057, 16396, 16400, 16406, 16396, 16399, 16399, 16406, 16407, 16402, 16444, 16443, 16444, 16397, 16875, 16647, 21119, 16395, 40249, 18102, 18560, 16671, 16807, 16641, 17607, 17730, 23487, 17032, 16914, 19255, 16674, 18908, 31361, 16395, 20302, 16715, 16647, 33645, 16673, 42498, 16395, 16944, 16704, 18846, 16672, 40249, 18102, 16604, 16443, 16442, 16442, 16415, 16417, 16400, 16405, 16396, 18894, 16646, 17057, 16396, 16400, 16406, 16396, 16399, 16399, 16406, 16407, 16402, 16444, 16443, 16444, 16397, 16582, 16582, 24346, 17730, 31585, 19958, 16769, 16804, 25145, 16715, 57999, 16797, 17065, 24092, 16395, 16873, 17699, 21458, 16647, 20541, 16715, 16991, 28873, 16673, 36871, 16397, 29325, 16721, 16991, 17730, 31585, 16769, 18813, 20671, 16715, 16647, 35233, 16673, 17259, 26555, 16396, 21670, 24720, 16604, 16443, 16442, 16442, 16415, 16417, 16400, 16406, 16396, 18894, 16646, 17057, 16396, 16400, 16406, 16396, 16399, 16399, 16406, 16407, 16402, 16444, 16443, 16444, 16395, 16728, 16704, 20927, 16671, 21986, 18515, 16674, 17072, 17730, 31585, 30547, 17415, 18198, 18102, 16929, 16769, 30650, 25983, 16674, 17310, 16929, 16769, 16672, 58723, 16715, 24092, 16674, 16671, 17391, 21286, 21330, 16671, 19650, 29175, 17730, 31585, 16815, 16914, 37073, 16397, 16582, 16582, 60469, 20585, 17724, 16703, 17490, 27288, 16674, 32589, 21374, 16397, 18523, 16395, 21336, 17730, 18707, 16769, 18493, 16647, 17736, 20671, 16715, 36871, 16815, 24092, 16604, 16443, 16442, 16442, 16415, 16417, 16400, 16403, 16396, 18894, 16646, 17057, 16396, 16400, 16406, 16396, 16399, 16399, 16406, 16407, 16402, 16444, 16395, 16442, 16415, 16417, 16400, 16404, 16396, 18894, 16646, 17057, 16396, 16400, 16406, 16396, 16399, 16399, 16406, 16407, 16402, 16444, 16443, 16444, 16397, 34164, 20681, 28339, 36694, 18184, 16734, 17730, 31585, 17699, 17261, 16671, 18288, 16641, 16922, 18293, 20287, 16673, 17730, 34587, 16672, 17148, 19367, 16466, 16741, 28339, 36694, 16704, 16667, 32967, 16673, 21336, 17730, 16604, 16443, 16442, 16442, 16415, 16417, 16400, 16407, 16396, 18894, 16646, 17057, 16396, 16400, 16406, 16396, 16399, 16399, 16406, 16407, 16402, 16444, 16443, 16444, 16397, 16582, 16582, 33661, 16647, 32345, 17415, 17259, 17730, 16396, 21670, 31585, 16395, 16647, 19680, 19335, 16673, 16641, 17280, 16673, 18813, 31585, 19095, 16673, 25416, 16673, 18403, 32345, 17123, 17261, 16671, 21033, 16647, 18813, 16673, 21572, 19056, 17588, 16889, 16756, 16715, 57999, 16797, 17065, 24092, 16604, 16443, 16442, 16442, 16415, 16417, 16400, 16408, 16396, 18894, 16646, 17057, 16396, 16400, 16406, 16396, 16399, 16399, 16406, 16407, 16402, 16444, 16443, 16444, 16397, 16582, 16582, 32523, 19831, 16807, 28152, 28339, 36694, 16395, 17730, 31585, 16604, 16443, 16442, 16442, 16415, 16417, 16401, 16399, 16396, 18894, 16646, 17057, 16396, 16400, 16406, 16396, 16399, 16399, 16406, 16407, 16402, 16444, 16395, 16442, 16415, 16417, 16401, 16400, 16396, 18894, 16646, 17057, 16396, 16400, 16406, 16396, 16399, 16399, 16406, 16407, 16402, 16444, 16443, 16444, 16395, 16674, 19029, 16672, 17730, 20937, 16604, 16443, 16442, 16442, 16415, 16417, 16401, 16401, 16396, 18894, 16646, 17057, 16396, 16400, 16406, 16396, 16399, 16399, 16406, 16407, 16402, 16444, 16443, 16444, 17560, 24092, 16397, 17973, 19950, 16797, 16704, 18138, 16709, 16641, 19428, 27560, 16673, 18098, 37654, 16659, 16395, 16944, 17123, 23688, 43656, 20470, 16397, 17376, 16641, 17539, 16395, 17213, 19831, 16807, 29054, 17730, 31585, 16672, 22439, 21374, 22187, 16850, 16807, 16804, 28152, 18515, 17730, 20937, 16704, 19359, 16671, 16647, 36871, 16673, 19994, 50022, 16397, 16582, 16582, 16853, 20199, 16673, 16811, 18077, 16704, 16671, 21986, 16674, 24416, 17730, 31585, 16674, 28339, 36694, 17415, 21966, 17148, 19367, 16466, 27773, 16715, 16674, 49993, 17065, 24092, 16397, 17119, 17924, 16671, 17393, 16721, 37994, 31585, 16674, 18229, 36694, 17743, 16961, 16703, 19359, 16671, 16641, 18846, 18960, 16673, 57999, 16797, 17065, 24092, 16397, 16582, 16582, 16401, 16397, 35703, 16674, 33486, 16604, 16474, 16386, 19810, 16401, 16396, 18894, 16646, 17057, 16396, 16400, 16406, 16396, 16399, 16399, 16406, 16407, 16402, 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, 16401, 16397, 16400, 16397, 26282, 22933, 16674, 48933, 16604, 16474, 16386, 19810, 16401, 29200, 16400, 16396, 18894, 16646, 17057, 16396, 16400, 16406, 16396, 16399, 16399, 16406, 16407, 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, 16582, 16582, 17635, 35778, 25923, 19532, 16396, 50951, 18077, 16763, 20888, 18493, 46624, 17060, 17148, 19367, 16466, 16397, 16875, 55946, 16395, 16604, 16408, 16396, 24863, 16396, 21873, 24092, 16704, 50475, 16397, 16875, 25828, 16734, 16647, 17148, 19798, 23914, 16673, 16647, 46624, 17060, 41432, 33847, 16395, 16641, 17685, 16673, 19056, 18098, 37654, 16659, 16704, 19438, 16809, 16667, 28917, 23510, 22525, 17434, 17492, 16987, 16674, 19497, 21966, 46624, 17060, 21832, 16673, 50475, 24092, 16396, 58723, 18702, 16604, 16391, 16400, 16408, 16396, 16396, 16401, 16405, 17202, 16392, 16397, 20735, 21966, 16674, 21379, 18198, 22710, 16843, 21398, 16914, 20048, 16671, 16703, 17148, 19367, 16665, 16709, 16641, 25316, 20445, 16397, 16582, 16582, 16416, 39138, 17886, 21179, 32696, 16763, 17405, 16397, 17664, 16769, 17910, 26429, 16715, 19994, 33976, 16672, 55946, 16721, 27832, 17148, 19367, 16466, 17560, 16647, 18456, 16987, 16397, 16772, 17586, 16958, 27370, 16672, 16858, 17910, 26429, 16715, 16604, 16403, 18355, 16815, 18850, 16671, 19191, 16604, 16401, 16399, 16400, 16407, 16397, 22371, 17148, 19367, 16672, 17213, 26429, 16763, 29953, 17560, 16811, 18472, 16674, 18666, 16671, 17430, 16641, 26535, 17510, 16671, 23765, 16672, 16647, 18077, 16674, 16671, 18293, 16647, 18077, 41510, 16397, 17664, 16763, 16667, 21895, 19489, 16604, 16391, 52709, 18038, 16392, 16721, 22381, 19618, 16672, 16647, 18077, 16961, 16703, 49993, 16785, 27773, 16715, 24092, 16397, 16582, 16582, 16853, 19270, 16671, 18955, 16641, 27832, 16715, 57999, 16797, 17065, 24092, 16704, 17366, 16809, 19428, 23282, 16674, 16704, 18138, 16709, 16667, 18403, 19428, 27560, 16674, 18722, 19428, 20369, 16397, 16772, 25145, 16715, 36871, 16815, 24092, 16769, 21365, 16672, 25997, 16965, 16396, 16400, 16400, 16403, 16401, 16398, 16437, 16396, 16400, 16400, 16402, 16408, 16395, 16944, 19522, 16641, 17685, 16673, 27821, 18184, 16734, 16914, 35998, 16395, 16674, 16704, 21889, 16809, 16647, 48446, 16673, 18490, 27655, 16674, 19218, 21621, 16397, 18708, 25145, 17027, 24396, 16647, 22250, 22908, 26012, 16409, 16604, 16400, 16405, 16399, 16674, 16604, 16400, 16404, 16404, 27844, 16715, 18102, 16674, 18130, 16395, 22358, 16397, 19055, 31464, 17714, 65246, 24202, 16704, 16804, 16641, 18188, 16715, 36871, 16815, 24092, 16604, 16443, 16442, 16442, 16415, 16417, 16401, 16402, 16396, 18894, 16646, 17057, 16396, 16400, 16406, 16396, 16399, 16399, 16406, 16407, 16402, 16444, 16443, 16444, 16397, 17973, 19950, 16797, 16672, 16674, 36871, 16815, 24092, 16958, 21766, 16815, 16647, 19428, 21615, 16715, 17492, 18077, 33564, 16397, 16582, 16582, 16401, 16397, 16401, 16397, 41988, 16604, 16474, 16386, 19810, 16401, 29200, 16401, 16396, 18894, 16646, 17057, 16396, 16400, 16406, 16396, 16399, 16399, 16406, 16407, 16402, 16476, 16582, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16582, 16582, 17071, 16604, 16401, 16399, 16400, 16407, 16395, 16986, 16763, 16641, 17685, 16673, 16604, 16400, 16399, 16395, 16402, 16403, 16399, 17148, 19367, 16466, 16395, 16604, 16401, 16399, 16408, 16673, 17007, 21379, 16397, 17170, 18077, 19618, 16604, 16400, 16403, 16401, 16406, 17148, 19367, 16466, 16604, 16391, 21202, 24398, 16604, 16400, 16402, 16397, 16407, 16399, 16388, 16673, 16647, 18804, 19971, 16392, 16395, 16673, 21445, 16604, 16400, 16401, 16408, 16405, 21506, 16914, 21443, 41510, 18184, 16734, 16914, 26535, 16671, 23765, 16672, 16647, 18077, 16397, 16772, 19208, 18960, 16763, 16604, 16408, 16399, 16397, 16407, 16401, 16388, 16397, 42264, 50022, 16958, 24850, 16671, 23765, 16672, 16647, 18077, 16395, 16850 ]
[ 0, 16396, 16396, 16396, 16582, 38841, 16409, 16604, 16390, 16416, 18723, 18197, 16704, 21270, 16715, 42360, 16647, 63923, 16972, 18380, 16725, 27421, 16673, 23905, 16734, 60190, 18807, 16395, 16672, 16647, 20776, 16721, 16647, 17242, 16396, 20133, 39028, 19101, 19410, 16671, 23020, 16397, 16772, 36669, 16673, 16811, 18197, 16704, 23679, 16715, 22106, 16972, 18380, 16725, 16709, 22476, 18344, 16646, 20306, 16674, 16604, 16894, 25982, 16396, 17663, 16396, 34769, 22780, 16385, 16685, 17676, 17308, 16397, 16921, 25975, 16466, 16715, 16647, 18344, 16646, 20306, 16685, 17676, 17308, 16673, 17476, 39028, 28259, 16769, 23381, 17655, 16647, 39429, 16972, 18380, 16725, 18197, 16395, 17437, 16715, 16647, 60564, 17434, 16873, 16769, 17494, 20001, 17655, 16647, 40298, 16396, 34769, 22780, 27026, 16397, 16772, 19795, 16673, 16647, 57480, 19474, 16647, 63923, 19795, 16673, 16604, 16387, 16399, 16397, 16405, 16403, 16401, 16401, 16401, 16387, 16674, 16604, 16387, 16399, 16397, 16404, 16402, 16408, 16408, 16402, 16387, 22358, 16741, 16647, 39028, 16704, 17366, 61020, 16395, 23354, 16734, 16641, 17815, 27771, 18138, 19028, 16647, 28033, 20927, 22481, 16396, 33495, 27505, 16397, 16390, 16582, 26371, 16409, 16582, 16396, 16604, 16390, 21517, 16729, 16751, 40093, 16396, 42872, 16449, 17318, 16390, 16582, 16396, 16604, 16390, 32716, 16727, 16397, 17565, 18837, 16390, 16582, 16449, 34289, 20147, 16409, 16582, 16396, 16604, 16390, 16423, 40093, 42872, 16449, 17318, 16441, 18837, 16469, 16402, 16397, 54690, 16390, 16582, 23718, 16409, 16604, 16390, 22194, 18380, 16725, 16672, 39322, 16734, 16965, 29302, 16674, 45688, 35884, 18807, 16443, 16390, 16582, 16396, 16396, 16396, 16582, 16582, 16443, 16442, 19810, 16409, 38194, 16443, 16444, 38194, 16443, 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, 16582, 16582, 22194, 18380, 16725, 22175, 16647, 24261, 16673, 17301, 16396, 24193, 35182, 16672, 21179, 19258, 18331, 16442, 16415, 17287, 17795, 44353, 16444, 16397, 16999, 16872, 16641, 19609, 18898, 16673, 19617, 16672, 19153, 16672, 28792, 16674, 22945, 16395, 17789, 17274, 24640, 16741, 50696, 16674, 34025, 17502, 16672, 21179, 19258, 16395, 25727, 19924, 16672, 53991, 18691, 18331, 16442, 16415, 16434, 63024, 16401, 16399, 16399, 16401, 16444, 16395, 29086, 16746, 17220, 16674, 35087, 16672, 19680, 23905, 16604, 16442, 16415, 16422, 25942, 16710, 16469, 58395, 16905, 17063, 16467, 16710, 16469, 16428, 16806, 16659, 16399, 16407, 16444, 16395, 19335, 16673, 17969, 20189, 16604, 16442, 16415, 43181, 37300, 44678, 18342, 16399, 16407, 16444, 16395, 16674, 28170, 16725, 16672, 30641, 19258, 16604, 16442, 16415, 16440, 63578, 17317, 16422, 16744, 16729, 18342, 16722, 16905, 18350, 16436, 17129, 16666, 16399, 16407, 16444, 16397, 17999, 18077, 16811, 29698, 16395, 16917, 22484, 20609, 16647, 19278, 16809, 16641, 19607, 42652, 17366, 21179, 16809, 31525, 18065, 21186, 16785, 29097, 30544, 16734, 27505, 16604, 16387, 16463, 16387, 16397, 18073, 16641, 20927, 27421, 16604, 16387, 16463, 16446, 16450, 16387, 16395, 16715, 16641, 18201, 42652, 16674, 16972, 18380, 16725, 18383, 16604, 16391, 26852, 16395, 22106, 16392, 16395, 16972, 18380, 16725, 19198, 17617, 16397, 40418, 16721, 27421, 20001, 16785, 21334, 17587, 16671, 17362, 32768, 16704, 22009, 16671, 26144, 16647, 16972, 18380, 16725, 18234, 16709, 16641, 18343, 42652, 16395, 16674, 16872, 16992, 16647, 18910, 16673, 22652, 18786, 17030, 16647, 17202, 16604, 16391, 16644, 17529, 18786, 18379, 17143, 21620, 16397, 18331, 16442, 16415, 38623, 16399, 16407, 16410, 16604, 16415, 16433, 16456, 24868, 34075, 17500, 16399, 16406, 16410, 16604, 16415, 20372, 17074, 16835, 16399, 16405, 16410, 16604, 16415, 20372, 17074, 16835, 16441, 18837, 16399, 16405, 16410, 16604, 16415, 16441, 18837, 20372, 17074, 16835, 16399, 16405, 16410, 16604, 16415, 20372, 17074, 16835, 16441, 18837, 16399, 16407, 16410, 16604, 16415, 20675, 17115, 54959, 16399, 16406, 16410, 16604, 16415, 19401, 16974, 16657, 21794, 16441, 18837, 16399, 16406, 16410, 16604, 16415, 22044, 16761, 16428, 17833, 16749, 16438, 16750, 17326, 16399, 16407, 16410, 16604, 16415, 60357, 22854, 31094, 16658, 16418, 46502, 16399, 16404, 16410, 16604, 16415, 60021, 17326, 16422, 19918, 55773, 40455, 20434, 16433, 17129, 16646, 16399, 16407, 16410, 16604, 16415, 16426, 19058, 17756, 16906, 16455, 18564, 18362, 17278, 18516, 16467, 20012, 17976, 16399, 16407, 16410, 16604, 16415, 45337, 50889, 16675, 16399, 16407, 16410, 16604, 16415, 16426, 17056, 16871, 16456, 16399, 16407, 16410, 16604, 16415, 16421, 17594, 16419, 17594, 20872, 17692, 16399, 16407, 16410, 16604, 16415, 16438, 16468, 16399, 16405, 16410, 16604, 16415, 62204, 16789, 27524, 31157, 16668, 16473, 16399, 16406, 16410, 16604, 16415, 16438, 16750, 17326, 40455, 20434, 16426, 50826, 16399, 16405, 16410, 16604, 16415, 56567, 16954, 16469, 16863, 50933, 38817, 24299, 16399, 16406, 16410, 16604, 16415, 16423, 16844, 17080, 21585, 62215, 19413, 16915, 20112, 16716, 24208, 16468, 16399, 16406, 16410, 16604, 16415, 35862, 19216, 16434, 16851, 16881, 16399, 16406, 16444, 16392, 16397, 16582, 16582, 17071, 16811, 19420, 16742, 26426, 16647, 16972, 18380, 16725, 24319, 16673, 23905, 16734, 60190, 18807, 16397, 17673, 16704, 16395, 16742, 18328, 20609, 16672, 16944, 16742, 19031, 16647, 17679, 16673, 22207, 29097, 17989, 16641, 17242, 16396, 20133, 17437, 21880, 16647, 17679, 16673, 19047, 18842, 17415, 17242, 16396, 59665, 22551, 16397, 17119, 17137, 16671, 17393, 17072, 16604, 16387, 16463, 16446, 16450, 16387, 23825, 19028, 16647, 39028, 19101, 16672, 16647, 17242, 16396, 59665, 16674, 16672, 18343, 17072, 16728, 19534, 16659, 16741, 16647, 39028, 19101, 19410, 16671, 23020, 16397, 19209, 19441, 17274, 19258, 17208, 17882, 25412, 16709, 16647, 20937, 16673, 17446, 19258, 16734, 60190, 18807, 16395, 16945, 22008, 23905, 16395, 21137, 17803, 25258, 23905, 16395, 16674, 39534, 19258, 16397, 16999, 16704, 17027, 19550, 16815, 16641, 30496, 17411, 16673, 18058, 17172, 16728, 17361, 18701, 17099, 16647, 16972, 18380, 16725, 24319, 16673, 16647, 17242, 16396, 20133, 16674, 16647, 18734, 19278, 16397, 16582, 16582, 16384, 16442, 24481, 16444, 16391, 36881, 24001, 16400, 16397, 22294, 16392, 16582, 16582, 16384, 16442, 24481, 16444, 16391, 34769, 24001, 16401, 16397, 22294, 16392, 16582, 16582, 17375, 19550, 17568, 16673, 17274, 19258, 19497, 16685, 17676, 17308, 16734, 16667, 23951, 18502, 16673, 19774, 16895, 19147, 17989, 17007, 16397, 39230, 18379, 16647, 22476, 18344, 16646, 20306, 16685, 17676, 17308, 16604, 16391, 24001, 16397, 18331, 16443, 16442, 19327, 16409, 21251, 23684, 20306, 16443, 16446, 42086, 16443, 16444, 16392, 16674, 16647, 16604, 16894, 25982, 16396, 17663, 16396, 34769, 43365, 16385, 16604, 16391, 24001, 16397, 18331, 16443, 16442, 19327, 16409, 18152, 16454, 16443, 16446, 42086, 16443, 16444, 16392, 16397, 16772, 24002, 16843, 16703, 19789, 16809, 35194, 16661, 16647, 60564, 42652, 17065, 60564, 25426, 16673, 29505, 16604, 16387, 16427, 16387, 16395, 16674, 20376, 17755, 19774, 17160, 17310, 25426, 16397, 18708, 22207, 25426, 16673, 20570, 16604, 16387, 16427, 16387, 21278, 16671, 16647, 17242, 16396, 59665, 16395, 16944, 19047, 16977, 17242, 16396, 59665, 17181, 16647, 17567, 19047, 18842, 16767, 16914, 33946, 16397, 16772, 18344, 16646, 20306, 42652, 16704, 16647, 23110, 16396, 16459, 39004, 31327, 16673, 16647, 25876, 16396, 17663, 16396, 34769, 43365, 42652, 16395, 17187, 17242, 16396, 59665, 16769, 16604, 16387, 16427, 16604, 16443, 24360, 16790, 16387, 23110, 16685, 17676, 17308, 16944, 19047, 16647, 16977, 17242, 16396, 59665, 19565, 17910, 19047, 18842, 16397, 24695, 16395, 16715, 16647, 25876, 16396, 17663, 16396, 34769, 43365, 17242, 16396, 59665, 16395, 16742, 17027, 17231, 16647, 16604, 16387, 16427, 16604, 16443, 24360, 16790, 16387, 41558, 16395, 17348, 16671, 24396, 16604, 16387, 16427, 16387, 29097, 16709, 16647, 19300, 16674, 16647, 22890, 16397, 16582, 16582, 16853, 18234, 16673, 21311, 16647, 22106, 16972, 18380, 16725, 27421, 16843, 16703, 32214, 20001, 16715, 16647, 25876, 16396, 17663, 16396, 34769, 43365, 42652, 17172, 16728, 28789, 17065, 16641, 17568, 16673, 18171, 16396, 16978, 16666, 29580, 16673, 63267, 16395, 16674, 16647, 40298, 16396, 34769, 22780, 27026, 16604, 16391, 16448, 64760, 16673, 16647, 19830, 16396, 34769, 22780, 27026, 16392, 16843, 16703, 17405, 16671, 19666, 17285, 31952, 16715, 17073, 16972, 18380, 16725, 27421, 16604, 16442, 16415, 16441, 18837, 16446, 29270, 16419, 17104, 29270, 16410, 16604, 16415, 17822, 16708, 16659, 19375, 16456, 16399, 16405, 16444, 16397, 17170, 19474, 22277, 16671, 16667, 61804, 26832, 16944, 16843, 16703, 32214, 17655, 35131, 23429, 16396, 63688, 20625, 16397, 18523, 18443, 16671, 19744, 16673, 18171, 16396, 16978, 17854, 16672, 16647, 22476, 18344, 16646, 20306, 16685, 17676, 17308, 16395, 17028, 19168, 20075, 16843, 16703, 21715, 16715, 16914, 57480, 16397, 16582, 16582, 17409, 16704, 16673, 17654, 16674, 16673, 23660, 22228, 16671, 26426, 16647, 33960, 20937, 16673, 19258, 16734, 17242, 16396, 59665, 16673, 16667, 32866, 17679, 16673, 29097, 16395, 17226, 16397, 16452, 16397, 16395, 19258, 17187, 16647, 19101, 16673, 17242, 16396, 59665, 16704, 24078, 16673, 31942, 21036, 17032, 16647, 19101, 16673, 16641, 18494, 22106, 16672, 16647, 17434, 16395, 16785, 23495, 17929, 16395, 17187, 16647, 39028, 19101, 16673, 16647, 42652, 19739, 16671, 16647, 17242, 16396, 20133, 19101, 21083, 17785, 16397, 30470, 16671, 21999, 35182, 16395, 17213, 19258, 16868, 16972, 18380, 16758, 16767, 16641, 16604, 16393, 45027, 16761, 16393, 33333, 27505, 17032, 16641, 18655, 19607, 42652, 16397, 16772, 33960, 16972, 18380, 16725, 27421, 16715, 32866, 17242, 16396, 59665, 16704, 21263, 16396, 16974, 58173, 16697, 17975, 16396, 45052, 16395, 16674, 16704, 27641, 16671, 16703, 40912, 16809, 16647, 21864, 17552, 16673, 19047, 18842, 16671, 16647, 32866, 16972, 18380, 17160, 35087, 17989, 17242, 16396, 59665, 16397, 17170, 21981, 22277, 16671, 16641, 19406, 45440, 37142, 16647, 27421, 16671, 16647, 27505, 16721, 16647, 33946, 19244, 16671, 16647, 24661, 28518, 16672, 16647, 20128, 16673, 16647, 17242, 16396, 20133, 16397, 16582, 16582, 17071, 16811, 16985, 16395, 16647, 33960, 27421, 18020, 16704, 37589, 16715, 22106, 16972, 18380, 16725, 16709, 16647, 25876, 16396, 17663, 16396, 34769, 43365, 16674, 22476, 18344, 16646, 20306, 16685, 17676, 17308, 17655, 16811, 17009, 45440, 16397, 19002, 18380, 16725, 57480, 16769, 17027, 17494, 16715, 16641, 18502, 16673, 16685, 17676, 17308, 16673, 31471, 17242, 16396, 20133, 28259, 16397, 17544, 16647, 25876, 16396, 17663, 16396, 34769, 43365, 16685, 17676, 17308, 16395, 17154, 16972, 18380, 16725, 57480, 16769, 29054, 20838, 38381, 17655, 16647, 40298, 16396, 34769, 22780, 27026, 18197, 16395, 17437, 16715, 22476, 18344, 16646, 20306, 16685, 17676, 17308, 16395, 16647, 39429, 16972, 18380, 16725, 18197, 18331, 16442, 16415, 16441, 18837, 16446, 16434, 16904, 31539, 16444, 16704, 17405, 16397, 16772, 33960, 19795, 16673, 16604, 16387, 16399, 16397, 16404, 16402, 16408, 16408, 16402, 16387, 16674, 16604, 16387, 16399, 16397, 16405, 16403, 16401, 16401, 16401, 16387, 16769, 17494, 16715, 16972, 18380, 16725, 57480, 16673, 25876, 16396, 17663, 16396, 34769, 43365, 16674, 18344, 16646, 20306, 16685, 17676, 17308, 22358, 16395, 16944, 16769, 17490, 16672, 17203, 21294, 16734, 16647, 19795, 57095, 16723, 16895, 16715, 16647, 24284, 16685, 17676, 17308, 16673, 31471, 17242, 16396, 20133, 28259, 16397, 16582, 16582, 17507, 20131, 16721, 16986, 16769, 16991, 39755, 17415, 16811, 16985, 16674, 19831, 18090, 16709, 16647, 30166, 16666, 16702, 17478, 21210, 32118, 27524, 16695, 18310, 17499, 16604, 16391, 34769, 32536, 16392, 18331, 16442, 16415, 63920, 16440, 23781, 16400, 16408, 16407, 16407, 16444, 16674, 51763, 17499, 16604, 16391, 36881, 16392, 16395, 16850, 16672, 16647, 17843, 16673, 16647, 16702, 17478, 21210, 32118, 27524, 20609, 16395, 16647, 17242, 16396, 59665, 16769, 23517, 16672, 16641, 54180, 22535, 17437, 17348, 16873, 16769, 16804, 16397, 17544, 16647, 16702, 17478, 21210, 32118, 27524, 16695, 30438, 16395, 16944, 16704, 23654, 16858, 33946, 16395, 16647, 16972, 18380, 16725, 27421, 16704, 18365, 16671, 16703, 16604, 16400, 16604, 16442, 16415, 16422, 18347, 16652, 16416, 24743, 18460, 18564, 16904, 16729, 16428, 44018, 22756, 16467, 16407, 16403, 16444, 16397, 17544, 16702, 17478, 21210, 32118, 27524, 16695, 18310, 17499, 16673, 16641, 31471, 17679, 16673, 27216, 16395, 16647, 17510, 16748, 20056, 16715, 16647, 22481, 19244, 31557, 16843, 16703, 17494, 20001, 17181, 46387, 16679, 16604, 16442, 16415, 16435, 17905, 16744, 44448, 16423, 16962, 19073, 20112, 16913, 36676, 16428, 25747, 16716, 16408, 16399, 16444, 16395, 17437, 17348, 16873, 19108, 16397, 37460, 17653, 54180, 18528, 16734, 60190, 18807, 16395, 16647, 16859, 16396, 25582, 25195, 18498, 50228, 23905, 16395, 16944, 16769, 19359, 16671, 27083, 16466, 16673, 16702, 17478, 16463, 40386, 23905, 16395, 16872, 17027, 16992, 22204, 16604, 16442, 16415, 35108, 21549, 22815, 16423, 17604, 23474, 18111, 39434, 16399, 16407, 16444, 16397, 16875, 16811, 18528, 16395, 16647, 16972, 18380, 16725, 27421, 19410, 16671, 23020, 16741, 16647, 17434, 19101, 19410, 16671, 51693, 16397, 16582, 16582, 16443, 16442, 19810, 16409, 62248, 16443, 16444, 16853, 17029, 16443, 16582, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16582, 16582, 20201, 16604, 16387, 16463, 16387, 16703, 16647, 27505, 16721, 16641, 22106, 16672, 16647, 17434, 16704, 30544, 16397, 28978, 16641, 19278, 16734, 17242, 16396, 59665, 16673, 52165, 19655, 39028, 16395, 17492, 34519, 16972, 18380, 17160, 16604, 16391, 16642, 16647, 18870, 16673, 28931, 16604, 16894, 16642, 42086, 16385, 35087, 16850, 16804, 23902, 29732, 16647, 33946, 16392, 16767, 16604, 16387, 16463, 16446, 16474, 16450, 16395, 16466, 16476, 16387, 16395, 16674, 39445, 16647, 20562, 22106, 16972, 18380, 16725, 27421, 16673, 16647, 18734, 19278, 16671, 16703, 16604, 16387, 16463, 16446 ]
[ 0, 23844, 17921, 16907, 16944, 18034, 16674, 18329, 16732, 16390, 16451, 16945, 16671, 17134, 16647, 21911, 16672, 16397, 16582, 16582, 18252, 16671, 48361, 16582, 16582, 29315, 63347, 16704, 16641, 21114, 42630, 60004, 18124, 16734, 16641, 34901, 17477, 16674, 16667, 20360, 22525, 16673, 22122, 35679, 16395, 25512, 16395, 57728, 16674, 27525, 16397, 16772, 18124, 20431, 16815, 17073, 18583, 18399, 16671, 63347, 36603, 16767, 16647, 25503, 18194, 16673, 49302, 19106, 16674, 16991, 20049, 16673, 63347, 16674, 40975, 24443, 17027, 16807, 16647, 17498, 18227, 29405, 16406, 16397, 16582, 30126, 16665, 17769, 16673, 17476, 22122, 35679, 16395, 29405, 16406, 16872, 16641, 17446, 42630, 60004, 17477, 16671, 16728, 16395, 18065, 16728, 16917, 16673, 16647, 17154, 23338, 20276, 16671, 18209, 16674, 16985, 16397, 17664, 16704, 16641, 42747, 33008, 16673, 17047, 40849, 16672, 18764, 63347, 16395, 16734, 19001, 19440, 21289, 35987, 18325, 16647, 20991, 18065, 16728, 16858, 16647, 16922, 55352, 16397, 16582, 29315, 63347, 24669, 16991, 16673, 16647, 17154, 26140, 17446, 22510, 16672, 16647, 17394, 16397, 16999, 16704, 17616, 16671, 18122, 20246, 16673, 20667, 17390, 43496, 17099, 16604, 16391, 25851, 16697, 25186, 16672, 16647, 19144, 18660, 23001, 16392, 16395, 16850, 17027, 23791, 16395, 24194, 16395, 18154, 16395, 16674, 22911, 16396, 60102, 21832, 16397, 16711, 18650, 20667, 21057, 16704, 49609, 16809, 16647, 20447, 16673, 16647, 17148, 21663, 16395, 16647, 26672, 16450, 23037, 49526, 25100, 23085, 16774, 16796, 24703, 16677, 16604, 16396, 16641, 18122, 20667, 24745, 17613, 23581, 16647, 28086, 22296, 22378, 16604, 16396, 16674, 16647, 20667, 21054, 16395, 17616, 16671, 16641, 20667, 33332, 16397, 17664, 16769, 17027, 18295, 20667, 17547, 17258, 18983, 16674, 57728, 16672, 16647, 18124, 16582, 16853, 20987, 16673, 21454, 16672, 18764, 63347, 19346, 17141, 16671, 16647, 37471, 22623, 16395, 17014, 16986, 16763, 16641, 33159, 16672, 17009, 28016, 16395, 18184, 16734, 16647, 56021, 18472, 16397, 16772, 18124, 16704, 31684, 16809, 29555, 18472, 23043, 16395, 17789, 19243, 23758, 16395, 48995, 23758, 16395, 18472, 58070, 16674, 44370, 25426, 16397, 17403, 16986, 16769, 16804, 17259, 17362, 16396, 32700, 27069, 24853, 23043, 16397, 29405, 16406, 16704, 17027, 17616, 16671, 16991, 16673, 16647, 17514, 16604, 16390, 36881, 21454, 16390, 16672, 19706, 16734, 16914, 24556, 47429, 33068, 16397, 16582, 27160, 16406, 16872, 16667, 33620, 16673, 22122, 35679, 16395, 17789, 16991, 16673, 19706, 16390, 16466, 33921, 19122, 16674, 37128, 16397, 23797, 16671, 43352, 21417, 16715, 16991, 16673, 16647, 17394, 16390, 16466, 22708, 23145, 16395, 17789, 16647, 28086, 22296, 22378, 16395, 21209, 22378, 16395, 27459, 16604, 16389, 30644, 22378, 16674, 23564, 30644, 20742, 16604, 16396, 16858, 17989, 22232, 21424, 16673, 17492, 16977, 16397, 16582, 30126, 16665, 17769, 16673, 27857, 27525, 16604, 16396, 16396, 18122, 16674, 17785, 16604, 16396, 16396, 23693, 17473, 36654, 17716, 16416, 20243, 16674, 42661, 19058, 21417, 16395, 18764, 63347, 16704, 16641, 55352, 17617, 16671, 20255, 16395, 16674, 36158, 16991, 16673, 16647, 17238, 17514, 22002, 23382, 16709, 19622, 16390, 16466, 21417, 16672, 24777, 31813, 16397, 16582, 18377, 16704, 17027, 16667, 33620, 16673, 19655, 49347, 27525, 16674, 16641, 18898, 16673, 17362, 16396, 40738, 20398, 27525, 16721, 19905, 18531, 16815, 26715, 16671, 18308, 16674, 23346, 16397, 16582, 27160, 16406, 16704, 17027, 17616, 16671, 36582, 19780, 16395, 27502, 29026, 28243, 16647, 17394, 16390, 16466, 17514, 26441, 16395, 36582, 19780, 19706, 16704, 16641, 20252, 16396, 19338, 26238, 16734, 16641, 25938, 16715, 32944, 16672, 21641, 16674, 18147, 16397, 16582, 29315, 63347, 17324, 16704, 16641, 21942, 17617, 16395, 17659, 17285, 16674, 22597, 16728, 16715, 19486, 16674, 16703, 42244, 16665, 17915, 16809, 17073, 34901, 25203, 16397, 16582, 16582, 39934, 16409, 16400, 16403, 17853, 16604, 16401, 16399, 16400, 16402, 16582, 16582, 29248, 16409, 16408, 16403, 16405, 16404, 16582, 16582, 54530, 18144, 16390, 16434, 16796, 22694, 16796, 28006, 36663, 16702, 57629, 16908, 36663, 38118, 29405, 16406, 20752, 16405, 16395, 16401, 16404, 16399, 16395, 16399, 16399, 16399, 34525, 16673, 22666, 19281, 16582, 16403, 45172, 16604, 16475, 16604, 16402, 65340, 16604, 16475, 16604, 16402, 16604, 16400, 16398, 16401, 47727, 16604, 16475, 17092, 21100, 16604, 16475, 17362, 61213, 16604, 16475, 46148, 16604, 16475, 47429, 33068, 16604, 16475, 27724, 16604, 16475, 17534, 53487, 16582, 16394, 16403, 16403, 16604, 16391, 16399, 16392, 16604, 16401, 16399, 16604, 16406, 16401, 16401, 16408, 16604, 16400, 16403, 16400, 16403, 16582, 16400, 16399, 17683, 20009, 24858, 49525, 35826, 16762, 16400, 16400, 16604, 16402, 18593, 16582, 45508, 16705, 16706, 24299, 16415, 31244, 16401, 16400, 18436, 16397, 17070, 16582, 16418, 16401, 16400, 26069, 29664, 37037, 16674, 37756, 16409, 19562, 16409, 16398, 16398, 18409, 16397, 31244, 16401, 16400, 18436, 16397, 17070, 16398, 29447, 16396, 24953, 16477, 18574, 16412, 48200, 16395, 21129, 16412, 16400, 16407, 16400, 16403, 16399, 16407, 16401, 16582, 16418, 16401, 16400, 26069, 20247, 16396, 26852, 16409, 19562, 16409, 16398, 16398, 18409, 16397, 31244, 16401, 16400, 18436, 16397, 17070, 16398, 18060, 17230, 29497, 16582, 35802, 16409, 20782, 16409, 16398, 16398, 18409, 16397, 34163, 16397, 17070, 16398, 30759, 18024, 16401, 16400, 52691, 16915, 22310, 21120, 16414, 18452, 16412, 26013, 16582, 39696, 16409, 20782, 16409, 16398, 16398, 28760, 16397, 17070, 16398, 30759, 18024, 16401, 16400, 16446, 16438, 16400, 16400, 16582, 26688, 16394, 16409, 20782, 16409, 16398, 16398, 27507, 16397, 25034, 16397, 17070, 16398, 16394, 31244, 16401, 16400, 16466, 18737, 16915, 16744, 21120, 16398, 44361, 16582, 59338, 16409, 20782, 16409, 16398, 16398, 18409, 16397, 30091, 16397, 17070, 16398, 30759, 18024, 16401, 16400, 16466, 18737, 16915, 16744, 21120, 16582, 16431, 29667, 16409, 20782, 16409, 16398, 16398, 18409, 16397, 16463, 29667, 16397, 17070, 16398, 16450, 16401, 16400, 16466, 18737, 16915, 16744, 21120, 16398, 16582, 16416, 37054, 17092, 21100, 16395, 17567, 29784, 16395, 17910, 29428, 16395, 17567, 28718, 22415, 16395, 45945, 16991, 16604, 16401, 16395, 16407, 16400, 16404, 32427, 32291, 16395, 58856, 16815, 21748, 18109, 16395, 16734, 24972, 17362, 61213, 16395, 46148, 16395, 27724, 16395, 17534, 53487, 16674, 18291, 16671, 47429, 33068, 16395, 16809, 19617, 16395, 16672, 16667, 43162, 36230, 20448, 22682, 37126, 38711, 18843, 16709, 24624, 16390, 16466, 32139, 16422, 27209, 16395, 16917, 16673, 16647, 17154, 34270, 24107, 43817, 16672, 19706, 16397, 16582, 16853, 24893, 23396, 16396, 46529, 20639, 29784, 39826, 25514, 43299, 16395, 17567, 21100, 16396, 16928, 16396, 16718, 20883, 20667, 24912, 19868, 16671, 16647, 46148, 16734, 21855, 16673, 16647, 33068, 16674, 20104, 29938, 22578, 16397, 16772, 22906, 16395, 17204, 20087, 20647, 16396, 16642, 24009, 19696, 16796, 16750, 18511, 17795, 16674, 28131, 42663, 16674, 16641, 18275, 16418, 17370, 23346, 59310, 33456, 16397, 16772, 17142, 19642, 65340, 18379, 16641, 21681, 24518, 29509, 18392, 16674, 16641, 21476, 19019, 20086, 17797, 18392, 16397, 16772, 31185, 18613, 19497, 16641, 21461, 29428, 32511, 16734, 16641, 18623, 16396, 16642, 38274, 16674, 16641, 28718, 16734, 28579, 18392, 16395, 17567, 16922, 20639, 45172, 16395, 17142, 16922, 47727, 16395, 16899, 23534, 16395, 28450, 18392, 16395, 25008, 55270, 19167, 16395, 20022, 19167, 16674, 38709, 22049, 19796, 16397, 16582, 40449, 16390, 16466, 32139, 36603, 16704, 36444, 16697, 20186, 23395, 16815, 16647, 26672, 16718, 16452, 51265, 25100, 16395, 18493, 17259, 16977, 34039, 20155, 16672, 16647, 18124, 16397, 16999, 16704, 18399, 16671, 63347, 36603, 16395, 49302, 19106, 16395, 55162, 21417, 16395, 63347, 19568, 20076, 16395, 18764, 63347, 16674, 40975, 24443, 16395, 16674, 16641, 23587, 20879, 16673, 25512, 16395, 57728, 16395, 24265, 39270, 16395, 20734, 22728, 16674, 16991, 16673, 19706, 16390, 16466, 17154, 27418, 37128, 16395, 16741, 17204, 16741, 16647, 23564, 30644, 20742, 16397, 16582, 16582, 39934, 16409, 16400, 16402, 18733, 16604, 16401, 16399, 16400, 16406, 16582, 16582, 29248, 16409, 16400, 16404, 16408, 16399, 16582, 16582, 17071, 16912, 17304, 33184, 16672, 29405, 16406, 16409, 16582, 23584, 16715, 21451, 16672, 18312, 47572, 32139, 16604, 16396, 20782, 16409, 16398, 16398, 19286, 16397, 16697, 16398, 16401, 16425, 16460, 16402, 17129, 16468, 16582, 16853, 17567, 18408, 60373, 17400, 24058, 16721, 17190, 16903, 18312, 47572, 16743, 32139, 16727, 35843, 16769, 18399, 16671, 49302, 19106, 16674, 18738, 16689, 17388, 16674, 16994, 16641, 24590, 16743, 16466, 20105, 16815, 18764, 63347, 16743, 16466, 17394, 16396, 19336, 37128, 16397, 16582, 27631, 16811, 19857, 20447, 16395, 16728, 21002, 16667, 16653, 31071, 16673, 26526, 16674, 22671, 16395, 16734, 18408, 16395, 18074, 16744, 16396, 16463, 35369, 23758, 16395, 16709, 16396, 40738, 39876, 16674, 16641, 18354, 18205, 20467, 16397, 17332, 17699, 20857, 16647, 19009, 17748, 16465, 16673, 16641, 46001, 21413, 16641, 29725, 16743, 16466, 31597, 16395, 16850, 16721, 16743, 16466, 16858, 16721, 16743, 16466, 18715, 16671, 26601, 16912, 20689, 16397, 16582, 22985, 16907, 16767, 16790, 17787, 16467, 28887, 16980, 16732, 16743, 16451, 16945, 16671, 18058, 16641, 18312, 47572, 32139, 16669, 35843, 18287, 16715, 21451, 16785, 22959, 16397, 16582, 16582, 16416, 37390, 25169, 47247, 17708, 24853, 17030, 18183, 16647, 28086, 22296, 22378, 16397, 17170, 22906, 16674, 46987, 24853, 16704, 31616, 16709, 16647, 25432, 21100, 16604, 16391, 20110, 27724, 16392, 16673, 16641, 36086, 24853, 18843, 21935, 24557, 16396, 44652, 21855, 16673, 16647, 28086, 22296, 22378, 16397, 28887, 25169, 47247, 17708, 16395, 16647, 30515, 29320, 17567, 20639, 45172, 16395, 17142, 47727, 16604, 16391, 16877, 16901, 16396, 57405, 16392, 16674, 16641, 18122, 29784, 18392, 16734, 17671, 17885, 24009, 16674, 29509, 18124, 16397, 16772, 19329, 16704, 31616, 16672, 16667, 59051, 16925, 20447, 17255, 17827, 17032, 18514, 19109, 18623, 16815, 18764, 63347, 28890, 20878, 16395, 36582, 18059, 16395, 37128, 16674, 16641, 37390, 22525, 16673, 25512, 16674, 27525, 16397, 16582, 16582, 39934, 16409, 16402, 16399, 17853, 16604, 16401, 16399, 16400, 16402, 16582, 16582, 29248, 16409, 16400, 16407, 16401, 16582, 16582, 17635, 17796, 18742, 16396, 19504, 23090, 24586, 16398, 31304, 16396, 57977, 19167, 23138, 16396, 17663, 16396, 39772, 21323, 36264, 22804, 20995, 16704, 31616, 16672, 16641, 26320, 16395, 22671, 21429, 16672, 16647, 18544, 16673, 18764, 63347, 17415, 51155, 26387, 24167, 16674, 40975, 24443, 16395, 16674, 39826, 16604, 16401, 16395, 16399, 16404, 16407, 32427, 32291, 16673, 46987, 16674, 22906, 31185, 29216, 17030, 17910, 35219, 16397, 16582, 21630, 16922, 16767, 16409, 19562, 16409, 16398, 16398, 18409, 16397, 17639, 23768, 16397, 17435, 16397, 18436, 16398, 29447, 16396, 29639, 18653, 24443, 16396, 16401, 16401, 16401, 16399, 16404, 16398, 16582, 16582, 39934, 16409, 16401, 16402, 23032, 16604, 16401, 16399, 16400, 16406, 16582, 16582, 29248, 16409, 16401, 16399, 16406, 16582, 16582, 16416, 20204, 16673, 29032, 16674, 20104, 34704, 16582, 16416, 16883, 24285, 16727, 35843, 16604, 16396, 20782, 16409, 16398, 16398, 19286, 16397, 16697, 16398, 16401, 46213, 16458, 16423, 16457, 16472, 16582, 16853, 21762, 17348, 19929, 16743, 16467, 23900, 16671, 21378, 16734, 25734, 16397, 17664, 16743, 16466, 16641, 16669, 35843, 29496, 16672, 33638, 20939, 16395, 16641, 18287, 18183, 26320, 16672, 48031, 16861, 16674, 18295, 25010, 19001, 16697, 29496, 22906, 25197, 16395, 27408, 20554, 16674, 18901, 16397, 17426, 16732, 16743, 16644, 19395, 16673, 29741, 16667, 16711, 16883, 24285, 16669, 35843, 16715, 21451, 16395, 16732, 16743, 16683, 17652, 16647, 50209, 35249, 16674, 18403, 16798, 16709, 17299, 17348, 16397, 16582, 16416, 16883, 24285, 16727, 35843, 29405, 16406, 16704, 16641, 36714, 20204, 16673, 60520, 34704, 16674, 57989, 27359, 30844, 16397, 44655, 16709, 16811, 16783, 44072, 60373, 17400, 21429, 16395, 16732, 16743, 16451, 17579, 21991, 16721, 55162, 21417, 28890, 16763, 16994, 17473, 16647, 22481, 16397, 16582, 22985, 16907, 16767, 16790, 17787, 16467, 28887, 16671, 17393, 16891, 17016, 16743, 16466, 18125, 16671, 22959, 16785, 18367, 16672, 16811, 29032, 16674, 20104, 16669, 35843, 16397, 16582, 16582, 39934, 16409, 16402, 16399, 18415, 16604, 16401, 16399, 16400, 16407, 16582, 16582, 29248, 16409, 16401, 16399, 16406, 16582, 16582, 16418, 17480, 44372, 16674, 17446, 16813, 16659, 16672, 16641, 17198, 16666, 20989, 16409, 16582, 32184, 16671, 22959, 16672, 30301, 32139, 16396, 20782, 16409, 16398, 16398, 19286, 16397, 16697, 16398, 16401, 29874, 21486, 16432, 16440, 16582, 40449, 16743, 16466, 32139, 16727, 35843, 16704, 16641, 25005, 16396, 23807, 27407, 16396, 17094, 16396, 44306, 42495, 16809, 22766, 16395, 17187, 23083, 41899, 16817, 16395, 26320, 37471, 21429, 49696, 16674, 22906, 21481, 27696, 17190, 16811, 16917, 16673, 18764, 63347, 16743, 16466, 17154, 26729, 16669, 35843, 24058, 16397, 16582, 21055, 16674, 16986, 21762, 16807, 21568, 17687, 26321, 16674, 34583, 19067, 16914, 16669, 35843, 23758, 16395, 19303, 16715, 27131, 16667, 16813, 16453, 16791, 17435, 42938, 16672, 16647, 19164, 21938, 42871, 16397, 17403, 17014, 16647, 20346, 19410, 17285, 16395, 18594, 24198, 16671, 16647, 24624, 16743, 16466, 18388, 17413, 16409, 16641, 24322, 18070, 18635, 16709, 16647, 22481, 21935, 18950, 18308, 16674, 17446, 16813, 16659, 16397, 16582, 33191, 16732, 16743, 16644, 18183, 16715, 16641, 24624, 16390, 16466, 32139, 16428, 35843, 18287, 16715, 22959, 16785, 16732, 17137, 16671, 18367, 16641, 17616, 17348, 16395, 17322, 16790, 17787, 16467, 28887, 16671, 17393, 16912, 23353, 16669, 35843, 19329, 16397, 16582, 16582, 39934, 16409, 16402, 16399, 18415, 16604, 16401, 16399, 16400, 16407, 16582, 16582, 29248, 16409, 16400, 16403, 16404, 16582, 16582, 21977, 21412, 17689, 26333, 37151, 20995, 24853, 17280, 16709, 16647, 16604, 16400, 16399, 16757, 16395, 16604, 16400, 16400, 16757, 16674, 16604, 16400, 16401, 16757, 35219, 16734, 19761, 16671, 18686, 19796, 16395, 20010, 48435, 16674, 16662, 62839, 16395, 16667, 33620, 16673, 19588, 18109, 16674 ]
[ 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, 16417, 17879, 44753, 33830, 16418, 17528, 16604, 16474, 16386, 16466, 16401, 16476, 16582, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16582, 16582, 19231, 17875, 16395, 16917, 16672, 20545, 18130, 16672, 16647, 18303, 18644, 16868, 17460, 23665, 20053, 16604, 16443, 16442, 16442, 16415, 16433, 16400, 16444, 16443, 16444, 16397, 39098, 32430, 16672, 23665, 20053, 25939, 16674, 19165, 16807, 27364, 16647, 30174, 18960, 16673, 23665, 20053, 16604, 16443, 16442, 16442, 16415, 16433, 16400, 16444, 16443, 16444, 16850, 16647, 18141, 16673, 19165, 36845, 23971, 16709, 25939, 16673, 16647, 20062, 16767, 18334, 25652, 16604, 16443, 16442, 16442, 16415, 16433, 16400, 16444, 16443, 16444, 16397, 16711, 19744, 16673, 19461, 21370, 16647, 27732, 27287, 26592, 23665, 27242, 31462, 16671, 39092, 16674, 17177, 57722, 20062, 24727, 16647, 19629, 16671, 18233, 22656, 20062, 16397, 16772, 27353, 16673, 20671, 16721, 23129, 57663, 16704, 22009, 16715, 16647, 18356, 16673, 17009, 23665, 20053, 38094, 16674, 16641, 18613, 23789, 16672, 23665, 20053, 30174, 16604, 16443, 16442, 16442, 16415, 16433, 16401, 16444, 16443, 16444, 16397, 53201, 21148, 19019, 23665, 20053, 16604, 16391, 16424, 19634, 16392, 16704, 16641, 20349, 27747, 16395, 19152, 17236, 57348, 16395, 16674, 16641, 20349, 57722, 17510, 16673, 23665, 20053, 16397, 16687, 19634, 16704, 19970, 16734, 16641, 17362, 34330, 16673, 18334, 31864, 16666, 16674, 37413, 20790, 16397, 19750, 16675, 39031, 16395, 16911, 22209, 19959, 22595, 16395, 22904, 16674, 26993, 16807, 16804, 22818, 20062, 50328, 16785, 20562, 25341, 16673, 16687, 19634, 18873, 16604, 16443, 16442, 16442, 16415, 16433, 16402, 16444, 16395, 16604, 16442, 16415, 16433, 16403, 16444, 16443, 16444, 16397, 16582, 16582, 16435, 22598, 18092, 52551, 27800, 51984, 20678, 17759, 27630, 16604, 16474, 16386, 16466, 16402, 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, 16853, 27242, 20338, 42150, 16604, 16391, 16435, 24129, 16392, 16704, 16647, 31395, 18805, 16672, 16944, 16647, 27242, 23496, 16674, 19522, 17073, 36277, 16715, 19134, 16395, 31462, 16395, 25341, 16674, 23777, 16397, 16772, 19732, 20338, 42150, 19522, 25573, 32995, 16671, 19834, 21286, 24588, 25401, 16395, 47115, 18155, 19134, 16674, 38875, 16647, 51868, 49494, 16395, 16674, 24046, 16741, 16641, 30564, 16671, 27242, 20637, 26108, 16604, 16443, 16442, 16442, 16415, 16433, 16404, 16444, 16443, 16444, 16397, 19376, 63732, 25870, 16815, 16700, 24129, 16843, 56769, 17356, 24588, 17616, 61631, 16395, 40818, 16395, 23129, 16395, 16674, 20755, 19732, 19487, 16671, 51868, 49494, 16604, 16443, 16442, 16442, 16415, 16433, 16404, 16444, 16443, 16444, 16397, 16772, 16700, 24129, 16704, 20349, 19680, 16674, 24566, 16395, 16674, 19497, 19546, 30845, 16395, 26709, 19487, 16395, 36612, 19487, 16395, 16674, 22539, 16673, 16647, 56293, 16396, 34700, 16604, 16391, 19234, 16428, 16392, 16397, 16700, 24129, 16704, 17027, 21772, 16672, 19001, 55157, 16395, 20561, 16847, 17462, 16395, 28377, 16428, 26513, 16395, 19134, 16674, 55418, 31018, 20671, 19423, 16672, 18251, 53796, 16850, 17027, 17707, 16861, 25653, 18155, 32995, 16397, 16772, 18676, 16673, 16700, 24129, 16872, 26961, 17038, 20287, 16673, 20053, 16741, 16922, 17032, 16641, 18494, 21348, 24613, 20062, 16397, 31238, 16395, 20053, 31936, 25290, 19680, 65167, 24375, 16674, 17055, 16396, 18888, 18755, 17415, 20053, 19487, 16674, 19037, 16726, 16787, 16666, 19487, 16395, 63929, 16673, 52948, 19134, 20671, 16674, 20561, 16847, 17462, 16741, 16647, 18474, 35853, 18619, 19423, 16672, 56213, 31018, 32995, 33582, 16673, 35442, 16397, 16772, 17685, 16673, 20381, 16396, 50818, 38094, 16674, 21903, 26364, 18138, 16709, 16647, 18814, 16673, 16647, 20338, 42150, 16672, 19001, 20286, 16673, 38030, 16872, 23475, 17301, 16674, 16728, 19497, 17291, 16837, 21990, 16395, 17511, 20401, 16845, 16473, 50574, 16604, 16391, 29220, 16851, 16642, 16392, 16395, 43266, 16396, 16401, 16403, 16400, 16405, 16395, 17008, 57410, 53247, 16395, 21134, 16604, 16403, 16402, 16396, 16408, 16399, 16399, 16405, 16395, 64532, 16401, 16403, 16399, 16399, 16395, 24607, 16677, 56713, 16949, 16395, 16674, 38763, 16404, 16403, 16404, 19104, 16397, 16604, 16443, 16442, 16442, 16415, 16433, 16404, 16444, 16443, 16444, 16397, 16772, 20987, 16673, 17213, 16769, 18180, 17442, 16642, 16954, 41338, 33210, 27242, 18155, 19134, 33582, 17274, 16741, 16738, 21162, 16421, 16395, 16738, 25907, 16396, 16416, 19295, 16395, 16655, 16396, 41633, 16395, 40723, 52263, 19134, 21348, 32174, 16396, 16400, 16604, 16391, 16437, 24902, 24829, 16396, 16400, 16392, 16395, 57556, 24829, 16396, 16401, 16395, 57556, 24829, 16396, 16402, 16395, 23942, 16422, 24829, 16674, 38081, 16396, 49576, 24329, 21348, 16396, 16400, 32174, 16604, 16443, 16442, 16442, 16415, 16433, 16404, 16444, 16443, 16444, 16397, 25299, 24347, 25530, 16673, 16647, 23665, 20053, 16700, 24129, 19497, 24366, 20671, 19423, 16672, 27242, 19134, 16395, 36793, 16395, 57663, 16395, 40723, 16798, 16395, 16971, 19880, 18155, 18554, 33582, 16674, 19037, 26709, 17434, 16397, 16875, 17038, 18722, 18077, 16742, 25402, 16721, 36612, 16674, 39092, 23665, 20053, 16700, 24129, 16704, 21772, 16672, 23907, 16422, 16395, 20561, 16847, 17462, 17274, 16741, 61479, 22326, 16954, 16396, 18926, 16852, 16676, 17784, 21886, 18039, 17662, 32174, 16604, 16391, 16468, 34570, 16392, 16395, 17813, 32176, 21990, 16727, 16604, 16391, 19445, 16428, 16392, 16395, 27021, 16396, 16405, 16674, 16796, 27800, 16396, 19766, 16604, 16443, 16442, 16442, 16415, 16433, 16405, 16444, 16443, 16444, 16397, 20195, 16395, 16742, 18314, 17097, 16709, 36517, 16754, 19526, 17450, 16642, 16604, 16391, 19989, 16422, 16392, 16741, 16917, 16673, 16647, 20671, 17875, 16672, 16647, 16700, 24129, 16673, 36612, 16674, 39092, 23665, 20053, 18155, 20329, 16395, 16674, 17620, 17072, 16728, 18180, 16654, 22359, 19001, 22072, 16671, 19786, 27242, 20637, 26108, 16397, 16582, 16582, 16430, 52305, 19989, 16433, 18957, 24902, 17528, 17681, 16604, 16391, 19989, 16422, 16392, 16604, 16474, 16386, 16466, 16403, 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, 19989, 16422, 16763, 17092, 21766, 16809, 23286, 18826, 17595, 16671, 16647, 27242, 47778, 38981, 21348, 32174, 16604, 16391, 59109, 24829, 16392, 17797, 17560, 16641, 19936, 59718, 63338, 41102, 17913, 16674, 16763, 20472, 18138, 16709, 17073, 17917, 16604, 16391, 60284, 16409, 25667, 25584, 16395, 18003, 56229, 16671, 19238, 16392, 16604, 16443, 16442, 16442, 16415, 16433, 16406, 16444, 16443, 16444, 16397, 23907, 16422, 16763, 31525, 22603, 16674, 58387, 20472, 36517, 52828, 16851, 35781, 57659, 21348, 16604, 16391, 20523, 21520, 16392, 16604, 16443, 16442, 16442, 16415, 16433, 16407, 16444, 16443, 16444, 16395, 25650, 16400, 16604, 16443, 16442, 16442, 16415, 16433, 16408, 16444, 16443, 16444, 16395, 16674, 39973, 28139, 23675, 16396, 43883, 32174, 16396, 16400, 16604, 16391, 28903, 23965, 16396, 16400, 16392, 16604, 16443, 16442, 16442, 16415, 16433, 16400, 16399, 16444, 16443, 16444, 16395, 16944, 16769, 17494, 16671, 16703, 29329, 16671, 23907, 16422, 16397, 16772, 18206, 23907, 16422, 23273, 16704, 20186, 16767, 47990, 16604, 16407, 16464, 16401, 16402, 16396, 16401, 16403, 16674, 16704, 28414, 16673, 16604, 16403, 16399, 16400, 34226, 32245, 16604, 16443, 16442, 16442, 16415, 16433, 16400, 16400, 16444, 16443, 16444, 16397, 16772, 23907, 16422, 22036, 29320, 16604, 16403, 16399, 16400, 34226, 32245, 16673, 16944, 16604, 16401, 16400, 17510, 16641, 21686, 43940, 16604, 16443, 16442, 16442, 16415, 16433, 16400, 16401, 16444, 16443, 16444, 16604, 16391, 23236, 16604, 16442, 16400, 16444, 16391, 16386, 16421, 16400, 16392, 16474, 18452, 16396, 18926, 16412, 16385, 19327, 16385, 16476, 16392, 16397, 22316, 16674, 20643, 16856, 23907, 16422, 19881, 16673, 17910, 40961, 16452, 16856, 21772, 42974, 50563, 20186, 16672, 16647, 16793, 16396, 48276, 16395, 17142, 18554, 35057, 16395, 16674, 16641, 16733, 17603, 16642, 16396, 36209, 18758, 20186, 16672, 16647, 16719, 16396, 16737, 39474, 16674, 16641, 16604, 16401, 16400, 34226, 22363, 21686, 43940, 16604, 16443, 16442, 16442, 16415, 16433, 16400, 16400, 16444, 16443, 16444, 16397, 48935, 43940, 16704, 17680, 26134, 16671, 24339, 16641, 30985, 17510, 16673, 16604, 16402, 16407, 16399, 34226, 32245, 16604, 16391, 23236, 16604, 16442, 16400, 16444, 16391, 16386, 16421, 16400, 16392, 16474, 18452, 16396, 18926, 16412, 16385, 19327, 16385, 16476, 16392, 16397, 18073, 16647, 16793, 36860, 16730, 16395, 16986, 16769, 17910, 35057, 16604, 16391, 16419, 16400, 16396, 16419, 16403, 16392, 16395, 16944, 16807, 40961, 16452, 16856, 16396, 22837, 53903, 32174, 18826, 56932, 57612, 16604, 16443, 16442, 16442, 16415, 16433, 16400, 16401, 16444, 16443, 16444, 16397, 18708, 57612, 16769, 19062, 16674, 16769, 23454, 16715, 26570, 16671, 17073, 18166, 18821, 16395, 16647, 32174, 18039, 17662, 16673, 22497, 21348, 16604, 16391, 33573, 16522, 16632, 16417, 16392, 54848, 16604, 16391, 16433, 37218, 16427, 16392, 16395, 16674, 16715, 64363, 36517, 52828, 19456, 38409, 16674, 29304, 16604, 16443, 16442, 16442, 16415, 16433, 16400, 16401, 16444, 16443, 16444, 16397, 18073, 16647, 16719, 36860, 16730, 16395, 16986, 16769, 53193, 18554, 16396, 34986, 18826, 56932, 23349, 16604, 16391, 16419, 16404, 16674, 16759, 16405, 16392, 20440, 16809, 16641, 16733, 17603, 16642, 16396, 36209, 18758, 16604, 16391, 16419, 16406, 16392, 16604, 16443, 16442, 16442, 16415, 16433, 16400, 16401, 16444, 16443, 16444, 16604, 16391, 23236, 16604, 16442, 16400, 16444, 16391, 16386, 16421, 16400, 16392, 16474, 18452, 16396, 18926, 16412, 16385, 19327, 16385, 16476, 16392, 16397, 19253, 22365, 16767, 18583, 16604, 16403, 16399, 16399, 16395, 16986, 16704, 16641, 40961, 16452, 16856, 19062, 16715, 18826, 16745, 23720, 17873, 16673, 16647, 38636, 16604, 16391, 23236, 16604, 16442, 16400, 16444, 16391, 16386, 16421, 16400, 16392, 16474, 18452, 16396, 18926, 16412, 16385, 19327, 16385, 16476, 16392, 16397, 23907, 16422, 16704, 16641, 43601, 17749, 22036, 16734, 17028, 17333, 24510, 51158, 16785, 57331, 25204, 24020, 16395, 16674, 16704, 21047, 16741, 16641, 17334, 25590, 16604, 16391, 16404, 16404, 16396, 16405, 16401, 16822, 27786, 16392, 16721, 35269, 16659, 18826, 16745, 23720, 17873, 16604, 16443, 16442, 16442, 16415, 16433, 16400, 16400, 16444, 16395, 16604, 16442, 16415, 16433, 16400, 16401, 16444, 16443, 16444, 16397, 23907, 16422, 16704, 43601, 17749, 16741, 16641, 16952, 20719, 16870, 16396, 40019, 18826, 16745, 23720, 16675, 29921, 34756, 50742, 16734, 17910, 16785, 18514, 19056, 29921, 22287, 61227, 21186, 16395, 30484, 16641, 30985, 17510, 16673, 23907, 16422, 16673, 16604, 16400, 16400, 16399, 16396, 16400, 16401, 16399, 16822, 27786, 16604, 16443, 16442, 16442, 16415, 16433, 16400, 16401, 16444, 16443, 16444, 16397, 16772, 21290, 60547, 17510, 16673, 16647, 22036, 36522, 16641, 20580, 43340, 16715, 16778, 37218, 16427, 16674, 16641, 18846, 16733, 17603, 16642, 16396, 36209, 21672, 17032, 16647, 17334, 50978, 17510, 16397, 16772, 16733, 17603, 16642, 26570, 18758, 16604, 16391, 16419, 16406, 16392, 16673, 23907, 16422, 50020, 17073, 26570, 16671, 18155, 29993, 16396, 41792, 16733, 17603, 16657, 34730, 17099, 16397, 43228, 32475, 34730, 17099, 16769, 23078, 16709, 16647, 18155, 20293, 16741, 16733, 17603, 16657, 62086, 18003, 49365, 64728, 16604, 16391, 16423, 20961, 38491, 16392, 16395, 16674, 16769, 19423, 16672, 18155, 32995, 16395, 29737, 18155, 20937, 16395, 63947, 40479, 52096, 30511, 26080, 16395, 18155, 52354, 16395, 16674, 18155, 30201, 16604, 16443, 16442, 16442, 16415, 16433, 16400, 16402, 16444, 16443, 16444, 16397, 17544, 26987, 17231, 16395, 16759, 16406, 16395, 16759, 16404, 16395, 16674, 16759, 16405, 16769, 22111, 16395, 16674, 16647, 23063, 34226, 32245, 16604, 16401, 16401, 16396, 16400, 16408, 16403, 23907, 16422, 43940, 16704, 61637, 16671, 16647, 16773, 16450, 24020, 16673, 18206, 53698, 16400, 16604, 16391, 19989, 16422, 16396, 16421, 16450, 16392, 16395, 16944, 35149, 16647, 38258, 21290, 60547, 19927, 16673, 17769, 16396, 20517, 23907, 16422, 16674, 36522, 16641, 21777, 19800, 43126, 18519, 16396, 21806, 16604, 16443, 16442, 16442, 16415, 16433, 16400, 16401, 16444, 16395, 16604, 16442, 16415, 16433, 16400, 16403, 16444, 16443, 16444, 16397, 23907, 16422, 16704, 20349, 23078, 16672, 16647, 22739, 28568, 16395, 18544, 16395, 33212, 16395, 28037, 16395, 16681, 17644, 16730, 16395, 31136, 28988, 16674, 25584, 49342, 16604, 16443, 16442, 16442, 16415, 16433, 16400, 16400, 16444, 16443, 16444, 16397, 23907, 16422, 16704, 19793, 27535, 17347, 27940, 16809, 18295, 19487, 17789, 16726, 16787, 16666, 19487, 16395, 36517, 16462, 27535, 19295, 25355, 16395, 40723, 24210, 25725, 19487, 16395, 16738, 31136, 34784, 16395, 16674, 17467, 28139, 16816, 17253, 16689, 63265, 16604, 16443, 16442, 16442, 16415, 16433, 16400, 16400, 16444, 16443, 16444, 16397, 16582, 16582, 16384, 16442, 36015, 20189, 16673, 23907, 16422, 39597, 17073, 17476, 26570, 16674, 25201, 35057, 16444, 16391, 16645, 38531, 18315, 16396, 16399, 16406, 16396, 16403, 16401, 16406, 16406, 16406, 16396, 16454, 16399, 16399, 16400, 16392, 16474, 16386, 16421, 16400, 16476, 16582, 16582, 19989, 16422, 21828, 16738, 17879, 44753, 33830, 16418, 17528, 16604, 16474, 16386, 16466, 16404, 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, 19494, 16673, 16647, 17092, 19831, 16671, 47132, 23907, 16422, 22130, 17073, 20825, 16672, 17142, 18206, 23665, 20053, 18155, 20329, 16395, 16727, 20628, 16396, 28673, 16396, 16403, 16402, 16405, 16674, 28329, 16421, 16396, 16406, 16604, 16443, 16442, 16442, 16415, 16433, 16400, 16404, 16444, 16443, 16444, 16397, 23079, 19831, 16807, 22557, 16647, 20825, 16673, 23907, 16422, 16672, 23665 ]
[ 0, 19315, 21646, 17586, 16769, 17989, 16647, 19420, 16674, 17073, 52433, 22698, 22456, 16397, 16582, 16582, 38194, 16604, 16474, 16386, 19810, 16399, 16399, 16404, 16476, 16582, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16582, 16582, 16427, 17584, 54093, 16704, 16667, 20916, 31624, 20328, 16715, 18873, 16734, 19001, 20286, 16673, 17291, 16396, 29690, 28568, 20062, 16397, 18556, 29116, 16395, 16647, 20741, 17679, 16673, 41526, 28568, 17333, 50759, 16604, 16391, 24977, 43288, 16392, 16704, 20580, 17032, 16721, 16673, 18494, 28568, 17333, 50759, 16604, 16391, 26877, 43288, 16392, 17172, 16673, 16647, 17607, 25341, 16734, 16647, 19022, 23914, 16604, 16443, 16442, 16442, 16415, 16463, 16877, 16397, 16399, 16401, 16400, 16399, 16408, 16406, 16404, 16397, 18452, 16399, 16399, 16400, 16444, 16443, 16444, 16397, 17813, 16647, 16977, 17459, 16395, 16647, 17788, 19580, 16672, 19802, 16704, 19765, 17476, 16815, 16977, 19328, 16397, 16772, 17679, 16673, 31442, 43288, 20888, 16672, 19802, 16704, 18546, 16647, 17396, 16741, 16647, 17679, 16673, 29611, 43288, 16397, 56361, 36909, 17605, 16813, 16397, 19074, 16721, 16395, 18201, 16647, 22660, 35155, 35783, 16672, 19802, 16395, 31442, 16435, 16843, 16703, 16647, 17092, 20100, 16673, 29859, 23914, 18383, 16734, 28052, 25178, 16980, 16986, 16704, 17028, 30320, 16879, 18866, 16671, 31442, 16435, 16604, 16443, 16442, 16442, 16415, 16463, 16877, 16397, 16399, 16401, 16400, 16399, 16408, 16406, 16404, 16397, 18452, 16399, 16399, 16401, 16444, 16443, 16444, 16397, 16582, 16582, 16853, 25572, 28568, 35144, 17585, 22546, 49955, 16722, 16675, 31442, 16435, 16715, 16641, 20475, 16734, 42000, 54722, 16674, 24086, 17301, 16396, 20524, 25341, 16741, 16647, 17092, 20426, 28568, 54093, 17843, 16672, 16647, 17394, 16672, 16604, 16400, 16408, 16407, 16402, 16604, 16443, 16442, 16442, 16415, 16463, 16877, 16397, 16399, 16401, 16400, 16399, 16408, 16406, 16404, 16397, 18452, 16399, 16399, 16402, 16444, 16443, 16444, 16397, 20777, 17605, 16813, 16397, 24228, 20888, 49955, 16722, 16675, 31442, 16435, 16715, 16641, 20475, 16734, 25917, 46279, 16802, 42000, 20062, 16604, 16391, 58573, 16419, 16392, 16443, 16442, 16442, 16415, 16463, 16877, 16397, 16399, 16401, 16400, 16399, 16408, 16406, 16404, 16397, 18452, 16399, 16399, 16403, 16444, 16443, 16444, 16397, 63431, 16955, 16992, 19570, 16741, 16667, 31703, 16715, 31442, 16435, 17135, 16811, 20426, 17843, 16397, 18523, 16395, 17030, 34228, 16725, 18358, 16671, 16703, 23611, 16741, 16917, 16673, 16647, 17154, 19348, 32126, 17135, 31442, 16435, 16715, 63431, 16397, 16875, 31442, 16435, 37804, 16715, 63431, 16395, 16647, 17030, 34228, 16725, 16673, 16647, 23389, 28568, 16704, 17796, 16671, 19947, 18443, 16671, 19800, 26344, 16395, 25743, 16647, 17333, 16938, 24747, 28568, 42423, 16709, 16647, 16977, 18194, 16872, 19732, 26344, 16397, 16739, 36091, 16877, 58679, 16673, 16647, 23389, 28568, 16604, 16443, 16442, 16442, 16415, 16463, 16877, 16397, 16399, 16401, 16400, 16399, 16408, 16406, 16404, 16397, 18452, 16399, 16399, 16404, 16444, 16443, 16444, 16395, 28568, 21765, 23789, 22904, 16604, 16391, 41644, 23610, 16392, 16604, 16443, 16442, 16442, 16415, 16463, 16877, 16397, 16399, 16401, 16400, 16399, 16408, 16406, 16404, 16397, 18452, 16399, 16399, 16405, 16444, 16443, 16444, 16395, 16674, 63000, 46907, 28568, 21765, 23789, 16604, 16391, 24977, 33033, 16392, 16604, 16443, 16442, 16442, 16415, 16463, 16877, 16397, 16399, 16401, 16400, 16399, 16408, 16406, 16404, 16397, 18452, 16399, 16399, 16406, 16444, 16443, 16444, 16958, 19074, 16741, 31624, 64199, 16715, 17030, 34228, 16725, 16673, 16647, 23389, 28568, 16397, 16582, 16582, 16427, 25711, 16990, 17236, 51525, 22091, 52095, 20650, 16604, 16391, 16427, 18759, 16392, 16704, 16641, 21041, 40961, 16675, 28568, 20062, 16721, 34115, 24203, 16672, 18130, 16673, 17486, 46961, 18702, 16674, 16704, 29781, 16809, 16647, 36793, 16673, 34420, 24210, 25725, 16396, 19064, 19487, 16604, 16391, 16427, 18759, 19487, 16392, 16397, 16790, 18759, 16704, 19970, 16734, 16667, 46279, 16802, 20062, 20610, 16674, 21999, 39715, 21672, 16673, 16647, 28568, 16715, 23070, 17334, 39998, 16604, 16391, 37682, 17435, 16392, 21487, 16809, 16641, 42000, 17917, 17709, 16395, 16647, 17736, 18188, 16715, 16944, 16704, 16647, 19800, 28568, 26344, 16604, 16443, 16442, 16442, 16415, 16463, 16877, 16397, 16399, 16401, 16400, 16399, 16408, 16406, 16404, 16397, 18452, 16399, 16399, 16407, 16444, 16443, 16444, 16397, 30470, 16671, 16647, 17476, 26344, 17415, 16647, 23389, 16674, 16647, 17333, 16938, 24747, 34493, 16395, 16647, 23389, 28568, 17030, 34228, 16725, 16843, 16703, 16641, 19348, 57647, 17135, 31442, 16435, 16715, 16790, 18759, 16395, 16721, 16704, 18715, 16671, 19947, 17135, 31442, 16435, 16715, 63431, 16397, 41657, 17605, 16813, 16397, 19074, 16641, 17843, 16673, 39416, 16877, 58679, 16673, 16667, 17030, 34228, 16895, 23389, 28568, 17135, 31442, 16435, 16715, 16790, 18759, 16721, 25901, 16672, 22818, 28568, 17917, 16604, 16443, 16442, 16442, 16415, 16463, 16877, 16397, 16399, 16401, 16400, 16399, 16408, 16406, 16404, 16397, 18452, 16399, 16399, 16408, 16444, 16443, 16444, 16397, 16582, 16582, 20091, 44280, 16674, 25187, 18126, 16396, 17864, 18143, 17299, 16647, 35853, 16851, 16642, 16768, 33614, 16671, 16647, 17333, 16938, 24747, 28568, 18194, 16672, 37804, 16673, 31442, 16435, 16715, 16790, 18759, 16397, 48538, 23389, 28568, 17030, 34228, 16725, 16872, 16992, 17796, 16671, 18066, 16672, 37804, 16673, 31442, 16435, 16715, 16790, 18759, 17172, 16673, 17073, 19800, 26344, 16395, 16986, 16704, 17028, 18077, 16721, 16872, 19074, 16647, 20184, 16709, 16647, 17928, 16673, 16647, 23389, 28568, 21765, 17135, 31442, 16435, 16809, 17567, 16396, 29359, 37589, 59703, 16604, 16391, 16402, 16419, 16396, 20091, 16392, 18340, 16768, 24318, 16397, 18483, 16673, 16647, 28613, 16673, 16604, 16402, 16419, 16396, 20091, 18340, 16768, 24318, 16704, 16721, 16742, 16843, 21102, 56732, 30645, 16647, 28568, 21765, 16672, 16641, 17975, 16396, 57348, 22305, 16674, 21349, 19029, 16672, 16647, 28568, 17030, 17005, 16397, 16582, 16582, 17507, 29729, 16721, 16991, 37804, 16673, 31442, 16435, 16715, 16790, 18759, 35400, 16758, 42000, 17917, 16734, 23806, 16673, 16647, 35853, 16851, 16642, 16768, 33614, 16671, 16647, 17333, 16938, 24747, 28568, 18194, 16397, 16999, 16704, 61460, 16721, 16647, 17030, 34228, 16725, 16673, 16647, 23389, 28568, 28189, 16647, 42000, 17917, 17135, 31442, 16435, 16715, 16790, 18759, 16397, 18523, 16395, 16986, 16704, 19333, 17028, 20916, 17210, 16671, 54031, 48311, 16647, 17030, 34228, 16725, 16673, 16647, 23389, 28568, 16397, 16772, 20380, 16673, 16647, 17875, 18077, 16763, 16671, 26828, 16647, 28568, 21765, 17135, 31442, 16435, 16715, 16790, 18759, 16809, 16604, 16402, 16419, 16396, 20091, 18340, 16768, 24318, 16674, 26426, 16647, 28667, 17415, 16647, 23389, 28568, 21765, 17928, 16674, 59293, 42000, 17917, 16672, 16647, 32999, 16397, 16582, 16582, 56666, 16674, 20625, 16604, 16474, 16386, 19810, 16399, 16399, 16405, 16476, 16582, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16582, 16582, 56666, 16604, 16474, 16386, 19810, 16399, 16399, 16406, 16476, 16582, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16582, 16582, 41412, 19160, 16604, 16401, 16399, 16399, 16405, 16674, 19293, 16604, 16401, 16399, 16400, 16404, 16395, 16604, 16401, 16404, 18873, 41179, 31442, 16435, 16715, 16790, 18759, 16767, 16700, 17519, 32918, 18059, 23126, 16397, 39365, 16673, 17213, 18873, 16958, 33553, 16815, 16811, 18077, 16409, 16604, 16402, 18873, 20046, 16673, 20618, 42423, 36002, 16672, 16647, 61252, 33674, 18472, 16410, 16604, 16400, 18873, 20046, 16673, 20502, 24957, 16767, 16604, 16405, 18355, 17135, 31442, 16435, 16410, 16604, 16400, 18873, 20140, 50672, 16673, 16647, 56084, 17271, 16674, 19151, 16691, 21527, 28194, 16725, 17989, 16604, 16403, 17202, 17135, 31442, 16435, 16410, 16604, 16402, 18873, 20140, 25917, 28568, 16858, 16905, 19860, 36002, 16604, 16391, 22695, 19240, 16392, 16673, 16395, 16767, 17965, 16395, 16738, 19445, 16604, 16399, 16396, 16463, 16397, 16443, 16442, 16442, 16415, 16463, 16877, 16397, 16399, 16401, 16400, 16399, 16408, 16406, 16404, 16397, 18452, 16399, 16400, 16399, 16444, 16443, 16444, 23121, 16395, 16742, 28060, 16647, 18466, 16673, 16604, 16400, 16406, 18873, 16929, 16955, 49221, 31442, 16435, 16674, 28924, 16715, 16922, 17032, 16604, 16402, 17202, 16397, 32687, 37176, 17917, 17709, 16604, 16391, 16431, 25051, 16392, 17586, 16763, 18125, 16672, 16604, 16400, 16406, 18873, 16767, 17498, 16396, 21527, 28194, 16604, 16400, 16987, 16395, 16604, 16400, 16406, 18873, 16767, 16604, 16401, 17498, 16396, 21527, 28194, 17202, 16395, 16604, 16400, 16406, 18873, 16767, 16604, 16402, 17498, 16396, 21527, 28194, 17202, 16395, 16604, 16400, 16404, 18873, 16767, 17498, 16396, 21527, 28194, 16604, 16403, 17202, 16674, 16604, 16400, 16399, 18873, 16767, 17498, 16396, 21527, 28194, 16604, 16404, 17202, 16397, 16875, 16604, 16408, 18873, 16395, 16739, 25051, 17586, 16674, 18229, 46471, 18450, 21765, 16604, 16391, 21759, 16437, 16392, 19335, 16604, 16391, 54928, 18242, 16392, 16958, 18125, 17155, 16987, 16903, 16671, 17498, 16396, 21527, 28194, 16604, 16404, 17202, 16397, 16772, 47577, 21242, 20738, 16673, 16700, 17519, 32918, 18059, 23126, 22782, 16647, 18077, 16604, 16391, 37999, 17738, 17933, 16397, 16604, 16401, 16399, 16400, 16406, 16396, 16400, 16396, 16399, 16401, 16400, 16392, 16674, 18147, 16763, 22546, 16672, 25828, 16734, 16647, 16604, 16401, 16399, 16399, 16399, 41504, 16673, 53175, 16397, 44138, 24608, 26535, 16807, 16992, 21715, 16815, 16858, 22381, 16397, 16582, 16582, 22932, 26764, 16674, 27317, 16673, 28568, 21765, 16809, 17567, 16396, 29359, 37589, 59703, 18340, 16768, 24318, 16604, 16474, 16386, 19810, 16399, 16399, 16407, 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, 16582, 16582, 20091, 21014, 16958, 21715, 17560, 16641, 18494, 35386, 35158, 16767, 16647, 17291, 16673, 22745, 38595, 19019, 18900, 17655, 16641, 18180, 33079, 24789, 21558, 27789, 46025, 16604, 16391, 58154, 43610, 43144, 16395, 38110, 32747, 19802, 24574, 16395, 29870, 16395, 19802, 16392, 16397, 42856, 28568, 44280, 16958, 20888, 16767, 16641, 25442, 28890, 27966, 16673, 16604, 16400, 16401, 16399, 16822, 16437, 16463, 16395, 16734, 16641, 24579, 16669, 17894, 20989, 17655, 16667, 28917, 23659, 18123, 17434, 16397, 27789, 17586, 16815, 16604, 16400, 16396, 16401, 16396, 19932, 47346, 16958, 17405, 16715, 16647, 18340, 16768, 37612, 19335, 16397, 22371, 20475, 16390, 16466, 27789, 17586, 16958, 28015, 16671, 16641, 50997, 16985, 33755, 16604, 16391, 16441, 16456, 16837, 16725, 16401, 16395, 17565, 20170, 31082, 16395, 19376, 16397, 16395, 29870, 16395, 19802, 16392, 16674, 16604, 16402, 16419, 20609, 16958, 58973, 16397, 30851, 16674, 17262, 28568, 30788, 16958, 25722, 16809, 18400, 19509, 16647, 16776, 18289, 17615, 16673, 16647, 27789, 18020, 16673, 16647, 21481, 17743, 16604, 16391, 55925, 16392, 16395, 31949, 16403, 16405, 16408, 16751, 48259, 19645, 21932, 16604, 16391, 62789, 16392, 16410, 21481, 25597, 16604, 16391, 37751, 16392, 16395, 16604, 16405, 16407, 16403, 16397, 16407, 43101, 16410, 25669, 17552, 16604, 16391, 25688, 16392, 16395, 16604, 16399, 16397, 16772, 35386, 34472, 16815, 16647, 17150, 17042, 16448, 16671, 17242, 51760, 16666, 30973, 24548, 16763, 58973, 16674, 25103, 33553, 16815, 16647, 28568, 30788, 16397, 16604, 16442, 24001, 16604, 16400, 16444, 16391, 16386, 16463, 16877, 16397, 16399, 16401, 16400, 16399, 16408, 16406, 16404, 16397, 16454, 16399, 16399, 16400, 16392, 16474, 18452, 16396, 18926, 16412, 16385, 19327, 16385, 16476, 18937, 17036, 16396, 16674, 17498, 16396, 21527, 28194, 16604, 16402, 16419, 16396, 20091, 21014, 16673, 16641, 17843, 16673, 31442, 16435, 16715, 16790, 18759, 16397, 17119, 35418, 23975, 16647, 28568, 30788, 16734, 16647, 17396, 19795, 16673, 63484, 16395, 29259, 16395, 16674, 26247, 17014, 16873, 17120, 16804, 16703, 23975, 25103, 16397, 16875, 16647, 17843, 16673, 27722, 30742, 16395, 17142, 31405, 26924, 23975, 16647, 28568, 30788, 16672, 16641, 62030, 22305, 16674, 16647, 17881, 18020, 16763, 17405, 16715, 16647, 18077, 16397, 16772, 17586, 16673, 16739, 25051, 16674, 16604, 16402, 16419, 16396, 20091, 18340, 16768, 24318, 16767, 17492, 17005, 17411, 17135, 31442, 16435, 16958, 23980, 16397, 16582, 16582, 16384, 16442, 21070, 16396, 16674, 17498, 16396, 21527, 28194, 17567, 16396, 29359, 37589, 59703, 16604, 16391, 16402, 16419, 16396, 20091, 16392, 21014, 16673, 16641, 17843, 16673, 18494, 28568, 54093, 16715, 31136, 16990, 17236, 51525, 22091, 52095, 20650, 16397, 16443, 16582, 16391, 16416, 16392, 20245, 21527, 28194, 17567, 16396, 29359, 37589, 59703, 16604, 16391, 16402, 16419, 16396, 20091, 16392, 19521, 16673, 16647, 34493, 16672, 16641, 17843, 16673, 31136, 16990, 17236, 51525, 22091, 52095, 20650, 16397, 16604, 16391, 16417, 16392, 19861, 16396, 21527, 28194, 16604, 16402, 16419, 16396, 20091, 21014, 16673, 16647, 34493, 16672, 16647, 17843, 16409, 16641, 17939, 18494, 28568, 35144, 17843, 16397, 16444, 16391, 16463, 16877, 16397, 16399, 16401, 16400, 16399, 16408, 16406, 16404, 16397, 16454, 16399, 16399, 16400, 16392, 16474, 16386, 16463, 16877, 16397, 16399, 16401, 16400, 16399, 16408, 16406, 16404, 16397, 16454, 16399, 16399, 16400, 16476, 16582, 16582, 16420, 33373, 16673, 17030, 34228, 16725, 16673, 16647, 23389, 28568, 16604, 16474, 16386, 19810, 16399, 16399, 16408, 16476, 16582, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396 ]
[ 0, 19801, 17385, 23539, 17544, 17360, 40315, 16384, 16582, 16582, 28515, 16903, 16604, 16391, 22068, 16673, 18067, 16384, 16392, 16674, 16742, 16390, 16683, 19624, 16732, 17014, 16986, 16390, 16466, 21012, 19576, 38247, 16671, 17134, 17348, 16709, 16647, 18758, 16384, 17119, 16390, 16683, 17579, 20520, 35656, 16395, 16674, 17579, 18634, 16912, 17624, 16734, 16998, 17995, 23445, 17199, 16980, 16742, 16390, 16644, 17969, 20306, 16665, 16674, 21883, 16671, 21573, 16671, 16604, 16385, 23891, 18087, 16385, 21674, 16397, 18855, 16390, 16467, 17137, 29402, 16414, 19488, 18344, 16647, 16977, 31500, 19943, 19057, 16384, 16582, 16582, 21549, 21064, 37747, 41143, 16582, 16582, 37422, 16671, 28003, 16414, 16582, 16582, 19231, 16647, 21387, 16673, 17155, 17498, 16704, 16641, 45644, 18089, 16397, 21214, 16728, 16395, 16732, 16390, 16683, 17134, 16604, 16385, 20657, 16809, 16957, 24514, 34935, 21894, 20434, 16385, 16674, 16667, 17131, 28439, 17679, 16673, 20386, 16397, 28237, 16986, 16395, 16674, 16732, 16843, 17337, 16647, 20386, 16674, 19220, 16912, 17304, 16397, 35796, 16647, 17174, 16384, 16582, 16582, 16423, 16461, 16418, 16704, 17055, 16396, 59382, 16673, 16647, 16604, 16401, 16399, 16400, 16401, 23464, 39686, 19581, 22308, 16715, 21276, 56037, 16384, 16582, 16582, 33348, 16756, 16582, 16582, 20505, 17673, 17046, 16390, 16466, 36581, 24604, 20748, 17544, 16647, 16604, 16404, 16407, 16757, 21465, 16397, 16397, 16397, 16582, 16582, 31201, 16671, 23912, 16686, 16390, 26325, 16604, 16401, 16397, 16399, 16384, 16582, 16582, 17071, 16647, 18492, 16673, 16641, 61643, 20578, 16395, 51588, 29946, 16395, 16674, 19364, 42108, 16395, 31365, 50687, 20817, 18200, 19156, 16672, 16604, 16401, 16399, 16399, 16407, 29334, 23912, 16674, 26325, 16397, 16772, 16604, 16385, 32469, 16385, 17792, 17727, 16390, 16467, 17324, 16985, 16891, 16395, 16850, 16742, 17497, 22460, 16673, 16604, 16385, 29165, 16385, 16741, 18531, 17497, 21312, 16397, 17294, 17178, 16395, 16647, 37318, 16396, 29396, 25914, 16913, 16872, 16641, 17711, 17902, 16397, 16582, 16582, 18867, 16390, 16466, 17818, 16767, 23912, 16686, 16390, 26325, 32013, 33248, 16395, 16742, 16390, 16644, 21076, 26098, 20967, 17384, 16760, 16881, 16671, 18288, 16641, 17687, 36898, 16672, 17213, 23585, 18032, 16397, 32013, 33248, 16868, 18366, 16703, 20786, 20006, 16674, 20354, 16395, 16674, 20057, 16709, 19582, 16397, 27903, 16395, 49797, 16674, 29342, 16868, 16703, 20786, 32965, 16709, 17038, 20692, 19242, 16674, 19582, 16742, 16390, 16683, 17188, 16647, 17649, 16390, 16466, 63940, 17262, 17348, 16671, 21815, 17473, 16672, 16917, 16673, 16647, 22708, 20386, 25419, 16709, 16647, 22183, 16397, 26199, 16409, 19600, 17477, 17953, 16671, 50871, 17038, 49797, 16709, 16912, 20476, 31704, 16384, 16582, 16582, 40045, 22666, 25391, 25771, 16898, 16785, 21612, 16414, 16582, 16582, 34853, 16395, 19196, 16604, 16400, 16405, 16395, 16604, 16401, 16399, 16400, 16401, 16582, 16582, 17071, 16888, 17092, 18512, 21301, 16672, 20545, 18355, 16395, 31365, 20817, 25325, 16888, 25464, 16671, 16703, 16667, 17199, 17607, 19279, 16672, 16647, 18368, 16674, 20085, 16888, 17711, 17902, 19984, 16604, 16391, 16385, 16424, 16390, 16683, 16829, 16671, 17980, 39271, 17016, 20094, 17257, 16671, 41871, 19224, 16385, 16392, 16395, 16944, 18199, 16811, 16667, 21286, 17005, 16715, 23912, 16686, 16390, 26325, 32013, 33248, 16671, 22542, 17038, 17711, 17902, 19984, 16397, 16582, 16582, 17071, 16641, 63731, 16395, 16728, 16868, 16703, 16604, 16385, 29165, 16397, 16397, 16397, 19840, 17363, 23912, 16397, 16385, 16582, 16582, 16853, 21369, 17647, 20817, 16674, 16715, 18924, 17724, 19072, 16395, 16674, 23912, 16686, 16390, 26325, 18405, 16390, 16467, 21413, 16647, 19080, 16397, 17403, 16742, 16829, 16807, 16671, 21498, 16671, 16647, 16604, 16385, 17848, 19732, 16395, 16385, 16944, 16704, 16721, 32164, 18405, 16390, 16467, 17395, 23308, 16715, 16647, 17718, 17910, 17202, 16977, 17032, 16647, 26231, 18067, 16674, 16647, 32418, 38762, 16396, 41355, 27551, 16397, 16582, 16582, 17635, 17255, 16647, 17843, 16395, 16687, 17109, 16671, 17298, 27622, 17160, 16922, 17005, 16671, 32215, 16641, 19006, 16604, 16391, 35842, 16687, 16390, 16690, 17646, 16709, 18262, 16715, 16647, 18074, 17589, 17202, 16392, 16674, 45474, 16661, 20494, 16672, 17123, 21028, 17146, 60445, 16672, 17747, 16671, 17393, 20276, 28160, 16809, 20908, 16470, 18934, 16674, 17218, 27949, 50192, 16466, 16397, 16604, 16391, 31057, 16395, 16687, 17121, 16390, 16467, 18040, 16807, 16998, 20494, 16395, 16850, 16991, 16673, 16647, 50192, 16466, 16672, 16887, 28428, 17158, 18408, 22909, 16397, 16392, 16582, 16582, 18473, 17348, 16390, 16466, 16647, 17885, 16409, 16741, 16673, 18120, 16395, 23912, 16686, 16390, 26325, 32013, 33248, 16868, 16703, 19807, 17097, 16709, 19582, 16604, 16396, 16850, 16721, 17930, 16390, 16467, 17881, 16721, 32164, 16390, 16466, 17193, 16656, 18820, 16942, 16674, 34173, 16396, 22142, 16868, 16969, 16641, 17953, 17669, 16647, 17745, 16673, 16647, 17649, 16397, 23152, 16815, 16728, 16384, 16582, 16582, 51873, 16395, 25635, 16667, 18479, 24243, 16848, 16715, 16641, 35555, 16395, 30090, 16395, 16785, 20278, 16648, 18060, 17098, 22475, 16395, 16687, 16390, 16683, 17498, 16728, 20629, 16709, 20692, 16604, 16391, 21202, 16732, 16843, 17134, 16767, 19562, 16409, 16398, 16398, 18409, 16397, 35802, 16397, 17070, 16398, 32469, 16429, 29165, 46584, 33248, 18515, 16732, 16390, 16644, 16641, 20692, 19154, 16785, 16804, 16392, 16395, 16674, 17177, 16687, 16390, 16683, 50871, 16858, 16673, 16721, 18651, 16604, 16391, 16770, 18366, 17536, 21012, 16392, 16715, 16641, 16604, 16385, 25895, 16672, 18603, 16385, 17348, 17155, 19582, 16395, 17187, 16742, 16843, 19072, 16671, 21815, 17578, 17473, 16672, 16647, 20386, 19648, 16397, 16582, 16582, 17635, 16868, 17953, 16848, 16671, 16985, 16804, 17097, 16709, 16887, 18741, 16674, 16604, 16391, 64158, 16392, 34605, 47740, 16395, 16850, 17027, 17882, 16848, 19642, 17005, 16671, 17133, 16673, 19550, 16651, 16826, 18153, 16671, 20105, 17065, 16647, 49105, 16673, 16647, 34487, 37302, 16397, 16687, 16390, 16460, 16804, 17811, 17016, 17510, 17310, 16651, 16826, 18153, 17123, 17391, 18352, 16395, 16850, 16687, 16390, 16460, 27347, 16721, 16728, 16390, 16466, 17889, 16671, 18725, 17009, 16395, 17975, 16396, 28836, 23417, 21497, 16673, 44305, 17803, 16604, 16391, 16642, 22576, 19675, 19223, 16392, 16734, 16944, 16671, 21116, 16647, 30851, 16817, 17030, 16647, 17693, 16397, 17294, 16687, 19474, 16811, 20929, 16804, 17097, 16734, 34020, 16395, 16850, 16641, 18244, 23594, 16695, 22506, 16397, 16604, 16385, 16417, 16470, 17162, 16396, 18856, 16396, 18856, 16385, 16704, 20057, 17395, 16671, 16703, 16641, 22794, 17015, 16673, 16887, 39882, 16397, 16582, 16582, 28368, 16395, 17172, 16687, 19744, 16647, 45398, 34684, 16604, 16391, 16770, 37564, 16395, 16939, 45472, 16675, 17203, 19175, 16392, 16673, 20498, 17548, 17577, 16395, 16687, 17704, 16732, 16671, 17391, 16641, 17589, 19109, 16671, 18520, 16811, 18677, 16672, 16944, 18667, 16397, 17548, 17577, 24134, 47082, 16804, 17097, 17038, 36520, 16674, 27224, 16734, 16647, 20898, 18466, 16395, 16850, 17038, 18403, 22393, 16671, 17754, 22428, 16741, 18208, 17329, 16907, 16807, 27382, 16672, 16647, 18492, 16673, 29344, 17399, 16713, 32166, 16925, 28838, 16397, 16582, 16582, 18473, 16687, 16390, 16683, 17134, 16732, 16709, 20692, 25635, 16647, 26289, 24243, 16395, 16785, 17134, 16732, 17262, 17348, 17718, 19582, 16397, 16582, 16582, 20505, 16969, 16891, 16986, 16395, 18262, 16912, 17693, 17362, 16395, 16674, 25075, 16641, 26456, 16384, 16604, 16396, 17287, 24514, 34935, 21894, 20434, 16582, 16582, 16407, 16407, 20386, 16409, 16582, 16582, 16427, 17499, 18453, 16742, 16769, 16804, 31619, 16667, 17385, 33476, 16850, 17199, 16980, 16742, 16769, 16687, 16807, 16641, 24282, 16671, 18784, 16397, 17887, 18021, 22736, 16687, 16807, 28032, 16767, 18097, 16728, 17660, 16390, 16467, 16703, 16815, 35714, 16811, 24282, 16397, 16687, 58335, 16732, 16957, 24514, 16674, 20048, 16732, 16647, 17514, 16673, 16728, 20654, 16672, 16858, 16912, 54381, 16397, 29679, 17032, 20654, 16687, 22824, 18056, 16703, 16734, 16732, 16672, 16912, 47740, 16397, 16687, 17045, 27405, 16721, 16742, 16868, 17363, 16807, 16912, 33404, 16674, 27791, 16671, 17158, 16395, 19035, 16671, 16980, 17097, 28638, 16397, 16582, 16582, 16415, 55016, 16400, 16407, 16406, 16404, 16396, 20498, 17548, 17577, 17851, 17240, 16647, 17396, 17792, 16672, 16721, 18677, 16687, 24053, 16671, 16409, 16767, 16811, 17411, 16395, 16742, 17724, 19072, 16671, 19080, 16980, 17097, 16671, 17754, 20745, 16734, 17310, 16929, 16807, 27382, 16674, 50465, 21216, 16397, 26367, 16395, 16980, 16742, 17882, 16903, 16395, 17177, 16742, 21153, 16647, 17262, 16671, 17754, 18064, 28132, 16604, 16391, 16649, 16721, 17411, 16395, 16858, 16742, 16390, 16644, 18045, 16704, 58167, 16392, 16397, 17673, 16390, 16466, 16804, 16641, 17262, 16687, 16390, 16460, 21277, 16671, 17882, 16903, 16397, 16582, 16582, 16415, 16418, 18664, 16700, 25144, 16396, 16687, 16843, 16390, 16467, 17335, 18352, 18515, 16986, 16868, 16703, 16790, 24622, 23912, 16686, 16390, 26325, 16395, 16687, 16390, 16460, 16994, 18884, 16721, 16728, 16868, 16703, 17827, 24142, 17032, 17329, 16397, 19214, 17897, 16395, 17172, 16673, 16887, 28417, 23068, 17348, 16395, 16687, 16390, 16451, 20522, 18626, 16674, 18626, 18587, 16661, 16647, 18541, 16715, 16641, 17971, 16944, 16961, 40682, 19302, 17204, 16671, 16647, 16751, 16461, 16418, 19165, 17172, 16687, 16955, 16671, 16969, 17536, 19438, 16397, 22830, 16769, 16647, 18626, 16687, 16390, 16460, 23301, 16671, 52238, 16674, 17762, 17065, 22266, 17244, 16397, 16582, 16582, 16415, 17287, 24514, 16395, 21539, 16395, 16980, 16732, 37914, 16709, 18045, 17274, 16667, 16891, 18852, 16665, 16674, 47268, 17792, 16945, 18387, 16671, 16799, 37214, 16641, 19006, 16395, 16854, 16715, 16728, 16397, 16582, 16582, 16424, 16390, 16690, 19728, 16671, 20746, 16715, 22211, 23341, 16395, 18308, 45920, 16395, 30259, 23341, 16395, 17953, 26748, 16395, 29946, 16395, 16674, 16998, 16977, 17953, 30456, 16687, 16843, 16969, 16397, 16687, 18453, 18594, 17257, 16811, 16671, 16969, 16647, 18456, 16604, 16385, 16453, 25233, 38655, 16385, 17792, 17030, 16734, 31657, 16395, 17177, 19382, 20242, 16868, 17391, 17030, 16674, 16742, 16390, 16683, 16807, 16641, 17827, 39845, 17995, 16397, 16582, 16582, 48536, 16395, 16732, 26820, 16641, 18717, 16815, 18387, 16671, 17498, 17567, 18032, 16641, 17649, 16395, 16850, 16687, 16390, 16460, 17324, 22516, 16732, 16390, 16644, 16804, 19765, 27708, 16728, 16903, 16397, 16687, 16390, 16460, 23470, 16811, 23793, 16673, 28268, 16843, 17754, 16647, 22094, 17395, 16647, 17745, 16673, 16647, 17649, 16395, 20290, 16742, 16868, 17291, 16903, 19765, 17021, 16647, 18910, 16673, 16647, 19582, 26161, 16397, 16582, 16582, 20505, 16395, 16687, 16390, 16460, 17395, 16671, 16854, 16891, 16811, 21013, 16674, 18367, 16641, 19201, 19140, 16673, 19887, 16976, 16817, 16674, 25971, 40628, 16390, 16466, 17437, 16687, 17363, 16843, 16397, 16751, 17876, 17021, 16671, 34870, 16715, 18065, 17274, 16641, 17369, 17598, 18805, 16715, 18838, 16945, 31849, 16782, 16397, 16582, 16582, 16415, 17287, 24514, 16409, 18101, 17514, 29050, 16715, 16912, 54381, 16674, 16804, 16671, 22145, 18222, 18157, 16796, 18772, 16397, 17376, 20986, 16674, 27086, 16604, 16391, 16414, 16414, 16414, 16392, 16687, 16807, 60373, 17400, 18226, 16641, 20247, 18758, 16671, 23129, 22094, 16674, 16647, 22134, 16673, 20385, 16395, 17660, 16390, 16467, 16703, 16741, 49215, 16741, 27233, 16395, 16850, 19382, 16742, 16843, 16969, 16991, 27788, 17395, 16931, 17072, 16671, 17190, 16641, 17928, 16715, 16647, 16604, 16401, 16399, 16400, 16403, 24913, 16397, 30552, 16409, 17808, 40814, 21650, 50129, 26475, 16397, 16582, 16582, 16415, 19536, 17770, 16396, 28686, 18469, 16395, 16687, 17494, 16985, 44502, 16903, 16672, 16887, 17598, 16604, 16391, 31090, 16744, 16940, 19184, 16392, 16674, 17097, 17135, 19006, 17021, 16887, 26493, 16715, 16604, 16408, 18355, 16785, 16859, 19728, 16671, 19471, 16715, 29946, 16604, 16396, 16715, 16944, 16395, 17255, 18171, 16396, 55175, 16395, 16687, 16390, 16451, 17686, 20164, 20639, 16647, 23532, 16397, 16582, 16582, 18129, 16687, 16763, 18151, 16721, 16887, 24763, 16961, 16703, 18138, 16709, 16887, 17367, 17142, 33666, 16673, 23892, 16395, 16674, 17608, 16687, 24382, 16390, 16467, 23981, 18248, 16604, 16396, 16687, 18833, 16390, 16467, 18920, 18248, 16397, 17933, 21118, 16715, 16732, 16384, 16582, 16582, 17071, 16977, 18878, 16395, 16647, 16854, 16722, 16797, 16604, 16396, 16944, 16955, 16641, 18271, 18156, 16673, 16647, 31146, 16673, 21683, 16687, 16390, 16451, 18201, 17007, 16715, 29946, 20597, 16604, 16396, 16763, 59788, 16848, 16715, 16804, 18625, 23341, 18015, 16687, 17324, 18964, 16728, 16397, 16582, 16582, 18111, 16809, 16647, 17210, 16395, 22272, 27429, 29592, 16673, 19887, 16976, 16817, 17699, 16703, 16641, 27098, 20587, 21084, 17262, 17178, 16672, 17843, 17028, 16917, 42362, 16647, 17598, 16604, 16396, 16647, 23063, 16674, 56524, 17805, 21268, 16868, 17097, 59897, 16672, 18020, 16397, 16999, 16390, 16466, 20494, 16734, 16641, 65157, 30078, 16384, 16582, 16582, 16415, 46114, 40384, 16404, 16401, 16396, 21716, 50871, 16641, 18675, 16671, 16912, 17009, 18758, 16604, 16391, 17347, 17788, 16917, 18405, 16390, 16467, 18055, 16392, 16397, 19139, 16647, 17210, 16395, 16980, 16647, 19117, 16958, 18151, 16671, 16703, 16709, 16647, 57325, 16715, 16641, 17062, 40814, 17422, 50129, 26475, 16395, 16873, 16390, 16451, 18642, 16848, 16891, 16673, 16641, 22213, 16672, 16641, 51252, 16397, 16582, 16582, 16415, 22638, 16965, 17833, 52776, 16396, 16687, 23225, 16647, 21444, 16395, 16850, 16732, 17121, 16390, 16467, 16807, 16671, 18532, 16848, 16395, 16732, 16994, 16807, 16671, 17039, 17014, 16674, 17187, 16671, 17158, 16715, 16848, 16384, 20692, 16604, 16391, 32849, 16697, 16392, 16395, 17262, 17348, 16604, 16391, 21324, 26491, 16392, 16395, 16674, 32236, 45022, 17502, 16604, 16391, 29564, 16421, 16392, 16397, 16582, 16582, 18111, 16672, 20477, 16395, 16732, 16390, 16644, 16858, 18119, 16922, 23912, 16686, 16390, 26325, 17032, 16961, 21327, 16807, 16992, 16647, 17843, 16409, 16980, 34938, 16955, 17660, 16395, 16728, 16763, 16887, 17885, 16671, 17097, 17754, 16647, 35555, 17395, 17181, 16888 ]
[ 0, 22310, 34915, 17236, 17637, 17266, 16774, 17126, 18393, 19788, 23109, 16397, 16582, 16582, 31906, 63988, 17682, 29041, 16409, 16604, 16400, 16400, 16398, 16399, 16405, 16398, 16401, 16399, 16400, 16402, 16582, 16582, 17991, 16912, 22251, 22054, 16672, 23776, 17260, 16674, 24540, 16644, 16779, 16467, 17667, 20062, 16395, 17177, 16811, 16987, 16743, 16466, 23738, 42979, 19547, 27600, 17132, 16804, 23202, 16397, 17544, 16647, 17092, 17005, 16395, 16641, 17769, 16396, 17093, 61653, 17242, 33912, 17098, 59331, 16763, 18939, 16994, 17329, 23738, 42979, 17205, 28546, 61258, 35236, 16674, 18723, 20697, 17534, 34672, 16667, 19642, 19560, 16671, 19339, 16931, 16647, 20120, 16674, 22708, 16672, 61653, 16815, 16641, 31770, 16673, 17394, 16396, 16826, 29657, 23282, 16397, 16582, 16582, 17409, 16763, 16647, 19303, 17210, 16671, 25142, 16903, 16715, 16647, 17259, 25441, 16767, 23738, 42979, 16721, 28112, 16647, 23752, 36509, 25530, 16673, 27204, 16674, 28365, 19000, 16674, 22204, 17009, 52970, 16673, 61258, 18147, 16397, 54176, 19290, 16958, 29689, 16671, 19339, 16647, 17301, 16396, 23964, 17292, 18466, 16673, 16647, 26537, 16396, 31763, 35214, 31232, 26282, 16604, 16401, 16604, 16391, 23531, 16604, 16894, 16853, 38096, 16709, 33176, 22569, 16401, 16767, 23738, 42979, 16604, 16401, 16399, 16400, 16402, 16397, 16900, 16392, 16397, 20735, 18940, 24640, 16811, 16987, 19618, 16647, 18814, 16673, 16799, 18416, 16448, 16672, 18702, 16396, 21670, 23776, 17260, 62557, 16604, 16391, 63595, 16392, 16395, 16647, 44402, 16673, 42525, 16674, 18295, 20318, 19165, 25054, 16671, 42525, 16397, 32005, 16964, 17027, 31412, 16641, 17009, 61258, 39803, 51228, 16721, 17123, 18930, 17261, 16671, 18873, 16734, 18236, 22249, 16656, 58411, 23091, 16604, 16391, 38580, 16392, 16395, 16741, 17204, 16741, 17009, 19223, 16671, 18233, 23776, 20160, 17520, 28395, 16397, 16582, 16582, 23316, 17667, 17359, 16684, 51228, 16582, 16582, 17409, 16763, 16641, 40099, 18943, 16715, 61258, 19000, 16672, 19557, 17014, 16647, 32022, 22782, 16647, 17092, 58861, 19729, 16671, 18233, 22710, 16734, 22656, 47830, 16397, 16772, 35287, 16730, 20448, 38053, 20452, 17667, 17359, 16684, 51228, 19750, 16604, 16391, 28249, 61373, 22552, 32683, 16392, 17205, 21202, 16872, 16992, 31825, 16672, 18540, 17608, 16604, 16401, 16399, 16400, 16400, 17205, 26457, 16703, 43461, 18125, 16672, 16647, 17824, 18242, 16811, 16987, 16397, 17544, 17178, 16395, 16728, 16743, 16466, 16992, 24971, 16604, 16894, 29756, 26464, 17231, 16395, 16900, 16667, 24606, 31133, 20236, 16671, 20988, 16721, 18233, 16785, 48311, 26216, 17032, 16604, 16403, 16395, 16399, 16399, 16399, 17047, 16672, 16647, 17824, 17492, 16987, 16397, 16582, 16582, 16853, 35287, 16730, 20448, 18695, 28194, 16604, 16391, 19911, 16392, 17179, 19755, 16671, 16647, 61258, 20293, 16734, 16641, 24313, 16397, 16772, 26175, 16721, 17490, 24297, 16647, 29149, 16674, 51787, 16647, 19521, 21686, 16815, 16647, 20473, 16933, 18482, 22211, 16704, 18215, 27161, 16834, 16397, 17008, 18334, 22954, 16673, 16641, 20685, 18896, 16718, 16642, 55418, 34517, 16604, 16391, 18357, 16392, 16672, 16641, 20475, 16734, 16647, 35287, 16730, 20448, 18695, 28194, 33156, 16991, 35534, 23776, 17260, 37932, 20814, 16397, 27454, 16409, 55302, 17470, 41896, 44448, 16395, 35919, 20742, 16646, 16395, 25504, 16395, 16674, 24692, 19142, 30674, 16395, 25504, 16397, 16582, 16582, 16416, 17589, 19831, 29054, 16811, 39803, 51228, 16395, 26825, 64193, 16647, 17210, 16715, 17073, 16922, 30046, 17231, 16397, 18483, 18077, 19513, 16767, 16647, 20215, 23487, 16673, 16604, 16400, 16405, 18873, 16672, 18540, 16929, 16955, 19151, 16647, 36001, 16397, 16400, 16399, 16403, 16399, 16398, 16418, 16399, 16399, 16400, 16406, 16772, 18873, 16958, 20440, 16709, 19183, 16715, 16604, 16405, 16397, 16401, 18355, 16395, 16674, 19074, 17028, 29859, 16785, 19348, 16395, 19729, 16396, 21670, 29175, 19938, 16397, 26518, 18873, 21877, 17028, 22904, 16785, 19729, 16396, 21670, 29175, 19122, 16767, 16858, 16395, 25743, 16647, 16977, 18817, 19074, 21600, 29175, 19938, 16395, 17274, 16741, 16687, 19989, 39407, 16395, 47967, 16395, 16662, 16805, 17230, 16395, 26871, 29845, 18683, 56050, 16674, 16641, 61258, 29812, 16397, 16582, 16582, 16416, 17711, 18077, 17494, 16721, 16647, 35287, 16730, 20448, 36001, 16872, 17203, 17301, 16396, 20524, 33010, 16395, 16734, 17097, 16917, 22155, 16672, 16604, 16402, 16399, 24454, 16604, 16391, 32158, 16734, 16667, 19183, 16673, 16604, 16403, 16397, 16401, 17202, 16673, 17231, 16395, 26489, 16922, 17032, 16604, 16400, 16401, 16404, 42493, 20475, 17202, 16392, 16397, 16400, 16399, 16402, 16406, 16398, 16418, 16399, 16399, 16400, 16403, 23079, 16395, 41376, 27165, 21544, 25402, 16721, 21392, 50089, 16807, 16922, 17032, 16641, 16604, 16400, 16399, 16396, 18673, 27165, 16672, 41376, 21544, 16397, 23638, 18077, 22557, 17213, 18466, 16395, 26588, 16661, 18722, 22076, 16721, 25402, 16647, 19629, 16673, 16647, 39803, 51228, 16671, 18288, 22065, 17917, 17030, 18295, 17202, 16397, 16402, 16403, 16408, 16582, 16582, 28768, 39462, 20452, 16642, 40061, 16582, 16582, 48503, 29054, 16604, 16406, 16404, 16408, 18873, 16815, 16647, 16778, 41522, 16398, 16433, 35244, 34153, 23991, 26364, 16671, 17134, 16980, 27002, 16682, 16656, 16604, 16391, 16974, 24646, 16654, 21760, 21781, 16949, 16886, 50574, 16395, 22226, 16682, 19742, 16392, 16955, 16667, 17717, 16709, 16647, 35998, 16673, 16641, 20475, 16743, 16466, 46433, 63733, 40061, 16397, 16403, 16399, 16401, 16407, 28992, 20332, 16721, 16641, 20580, 28167, 16673, 18873, 16672, 16647, 21781, 16949, 16886, 50574, 20775, 16955, 16641, 17142, 16396, 16785, 17567, 16396, 26797, 34765, 16673, 46433, 63733, 40061, 16709, 16647, 26121, 16419, 23610, 21434, 20836, 16397, 17310, 16672, 16647, 45404, 17585, 16397, 16711, 17567, 16396, 26797, 24206, 16763, 24086, 16767, 16604, 16402, 16405, 18355, 16672, 16604, 16402, 16397, 16402, 16388, 16673, 16647, 45404, 17585, 16395, 19739, 16671, 16604, 16400, 16404, 16397, 16399, 16388, 16674, 16604, 16400, 16402, 16397, 16401, 16388, 16672, 16647, 16604, 16399, 16397, 16402, 26605, 16674, 16604, 16399, 16397, 16404, 26605, 22140, 19464, 16395, 22358, 16397, 20956, 16647, 18067, 16673, 16604, 16402, 16405, 18355, 16395, 16604, 16402, 16402, 16397, 16408, 16388, 16673, 16647, 45404, 16396, 36532, 19464, 20140, 33279, 17225, 46433, 63733, 40061, 16395, 16741, 25359, 16671, 17097, 16604, 16400, 16401, 16397, 16407, 16388, 16674, 16604, 16400, 16404, 16397, 16400, 16388, 16673, 16647, 21781, 16949, 16886, 50574, 16396, 36532, 19464, 16397, 16582, 16582, 23494, 18077, 29054, 16647, 20215, 16674, 34792, 16673, 20881, 42588, 16604, 16391, 16974, 24646, 16654, 21760, 16989, 18517, 16849, 16657, 16949, 16395, 16830, 25624, 45876, 19376, 16397, 16392, 22722, 16734, 19870, 18413, 17667, 18345, 35054, 16750, 18093, 16604, 16391, 20714, 16431, 16392, 20836, 16397, 22063, 16431, 19958, 16672, 16647, 34765, 16673, 61258, 16864, 17063, 26937, 17873, 16672, 19464, 16734, 17362, 16396, 34518, 33279, 17225, 20062, 16397, 16401, 16403, 16402, 16408, 16398, 16418, 16399, 16400, 16403, 16399, 18073, 18817, 18355, 16395, 16647, 22332, 16673, 16989, 18517, 16849, 16657, 16949, 16734, 22063, 16431, 20332, 17607, 37655, 16673, 17514, 16396, 44559, 16665, 21936, 16395, 20580, 25909, 16672, 61258, 32622, 16674, 26447, 22065, 18676, 17607, 17032, 22063, 16431, 19958, 16395, 16850, 20332, 17028, 18166, 19777, 16672, 16864, 17063, 26937, 34765, 16397, 16582, 16582, 16416, 17711, 18077, 16673, 16604, 16402, 16399, 18873, 19739, 22332, 22595, 16673, 21781, 16949, 16886, 50574, 16734, 22063, 16431, 20836, 16397, 22063, 16431, 19958, 16672, 19165, 16396, 18250, 61850, 33279, 17225, 46433, 63733, 40061, 16604, 16391, 22203, 16433, 16392, 16397, 16404, 16406, 16405, 16400, 16398, 16419, 16399, 16399, 16399, 16407, 17170, 18077, 44274, 16641, 20580, 17928, 16672, 17514, 16396, 44559, 16665, 21936, 16395, 16641, 21036, 25909, 16672, 20854, 61258, 32622, 16674, 16641, 19251, 34330, 16673, 24540, 16644, 16906, 50618, 16898, 16672, 16647, 22332, 22140, 17585, 17064, 17064, 34828, 27742, 16721, 20381, 16396, 16437, 24902, 16421, 23969, 16672, 33538, 16734, 22063, 16431, 17123, 16703, 25704, 16671, 22063, 16431, 19958, 16397, 16582, 16582, 42311, 16395, 16641, 48693, 18077, 16673, 16604, 16406, 16407, 18873, 20749, 16671, 24396, 16721, 17820, 17024, 16642, 17123, 21033, 16647, 18960, 16673, 23942, 16433, 16672, 18383, 16604, 16401, 26600, 18873, 16397, 16401, 16401, 16403, 16408, 16398, 16418, 16399, 16400, 16404, 16399, 16875, 16647, 17975, 16396, 19606, 17024, 16642, 17585, 16395, 16604, 16400, 16404, 18873, 16604, 16391, 16403, 16404, 16397, 16404, 16388, 16392, 20140, 23942, 16433, 16741, 19739, 16671, 16994, 16604, 16400, 16401, 18873, 16604, 16391, 16401, 16406, 16397, 16402, 16388, 16392, 16672, 16647, 17820, 17024, 16642, 16396, 36532, 17585, 16395, 29074, 16641, 23725, 16673, 17827, 23942, 16433, 16672, 16647, 17820, 17024, 16642, 16396, 36532, 17585, 16397, 16711, 21036, 18077, 16704, 23925, 16397, 16582, 16582, 16428, 28824, 18818, 28395, 16582, 16582, 32523, 19831, 16769, 30900, 21963, 25054, 16671, 18233, 23776, 17260, 17520, 28395, 17064, 17064, 51275, 24745, 16671, 26600, 16785, 40109, 58421, 20814, 16397, 16772, 25890, 16441, 24486, 18077, 29054, 16647, 20215, 16674, 34792, 16673, 16667, 17371, 24646, 16654, 21760, 64955, 16707, 17078, 16676, 16877, 36001, 16604, 16391, 16430, 16473, 16713, 19229, 16395, 17958, 16646, 17339, 16392, 16672, 16604, 16404, 16408, 18873, 16734, 22065, 40124, 16815, 46433, 23776, 20160, 17520, 28395, 16604, 16391, 16419, 24129, 16392, 16397, 16401, 16402, 16407, 16406, 16398, 16418, 16399, 16399, 16407, 16407, 42278, 18619, 21931, 16721, 16395, 17030, 16647, 18817, 18355, 16395, 20854, 61258, 32622, 16763, 21999, 16674, 17263, 30838, 22818, 17205, 16401, 16407, 16388, 16673, 18873, 16955, 16604, 16401, 16399, 16398, 16403, 16399, 16785, 17607, 17263, 30838, 20836, 16397, 16994, 16604, 16405, 16388, 16767, 32320, 16397, 17513, 21852, 16687, 19989, 20580, 17032, 16604, 16401, 16404, 19932, 16672, 16604, 16406, 16388, 16673, 18873, 16395, 16734, 16604, 16403, 16388, 16673, 18873, 21625, 19713, 16668, 24922, 16397, 17933, 17291, 18737, 31831, 18889, 16656, 16763, 19074, 16397, 16582, 16582, 16416, 17711, 18077, 20332, 19508, 18466, 17655, 16641, 17476, 17371, 24646, 16654, 21760, 64955, 16707, 17078, 16676, 16877, 36001, 31289, 16604, 16391, 16419, 21843, 16396, 16424, 16392, 16395, 16734, 16641, 21477, 16673, 16922, 17032, 16604, 16400, 16399, 23565, 16672, 16604, 16401, 16406, 16388, 16673, 19140, 16767, 17142, 18355, 16674, 16604, 16401, 16403, 16388, 16767, 17910, 18355, 16397, 16401, 16402, 16407, 16401, 16398, 16418, 16399, 16399, 16407, 16403, 18523, 16395, 16811, 18077, 20332, 16721, 50271, 16673, 17520, 28395, 16763, 21852, 16672, 16604, 16406, 16405, 16388, 16673, 19140, 16767, 17910, 18355, 16395, 19868, 16671, 16691, 16396, 53244, 16672, 16922, 17032, 16917, 16396, 37316, 16673, 19140, 16397, 16582, 16582, 28768, 39462, 23776, 17260, 17520, 28395, 16395, 16741, 22557, 16809, 26755, 60330, 59703, 16397, 16582, 16582, 23494, 18077, 29054, 36950, 16713, 19229, 16672, 18873, 16734, 23776, 17260, 17520, 28395, 16815, 40109, 58421, 35412, 16397, 61161, 19464, 16958, 22140, 16734, 36950, 16713, 19229, 16674, 16958, 20440, 16715, 18817, 16671, 16604, 16401, 16403, 18355, 16397, 16401, 16404, 16403, 16398, 16419, 16399, 16399, 16408, 16408, 34689, 16395, 16604, 16408, 16403, 16388, 20332, 20808, 34765, 16709, 64176, 16395, 32751, 16667, 19183, 16673, 16604, 16403, 16397, 16401, 18355, 16395, 16734, 17142, 20329, 16673, 24206, 16397, 34689, 16395, 16604, 16404, 16408, 16388, 22818, 16604, 16400, 16403, 16397, 16401, 23565, 16709, 19183, 16395, 17437, 16604, 16400, 16399, 16388, 46159, 19690, 16674, 16604, 16402, 16400, 16388, 23622, 16647, 17396, 16397, 55395, 16604, 16400, 16408, 16388, 16955, 32718, 16687, 19989, 16674, 16958, 22140, 16734, 29092, 16397, 16875, 19464, 16721, 16958, 16804, 21216, 22140, 16395, 16647, 18466, 16958, 17199, 17607, 17205, 16407, 16405, 16388, 20332, 24206, 16397, 32695, 16673, 16647, 18873, 19062, 31931, 16797, 16395, 16734, 16667, 19183, 16673, 16604, 16400, 16397, 16405, 27204, 16972, 16987, 16397, 16772, 18466, 17672, 16671, 24396, 16721, 36950, 16713, 19229, 17123, 16703, 16667, 20176, 19165, 16672, 17274, 18873, 17064, 17064, 28018, 17310, 16929, 17132, 16804, 20023, 17204, 16671, 20381, 16396, 16437, 24902, 16421, 23969, 16397, 16582, 16582, 23680, 18147, 19513, 16767, 16647, 18814, 16673, 27621, 16395, 16741, 17204, 16741, 20381, 16396, 16437, 24902, 16421, 16672, 22332, 16734, 27621, 16395, 16672, 16647, 19165, 16673, 23776, 17260, 17520, 28395, 16397, 16772, 46186, 19121, 16419, 18077, 29054, 16604, 16400, 16404, 19464, 16673, 16604, 16400, 16402, 18873, 16734, 21999, 22065, 17263, 30838, 24745, 16671, 46433, 23776, 17260, 17520, 28395, 16929, 16955, 16641, 17881, 31581, 16673, 16604, 16401, 16399, 16398, 16400, 16399, 16399, 16397, 16401, 16402, 16408, 16405, 16398, 16418, 16399, 16399, 16408, 16406, 18073, 18817, 18355, 16395, 16647, 17881, 31581, 21477, 16763, 16604, 16400, 16401, 16397, 16405, 26121, 16419, 23610, 23565, 16395, 16734, 16647, 20854, 61258, 32622, 36709, 16667, 19183, 16673, 16604, 16406, 16405, 16397, 16406, 45197, 16460, 16672, 18873, 16929, 19151, 27621, 16672, 22332, 16734, 21781, 16949, 16886, 50574, 16397, 27903, 16395, 16604, 16402, 16406, 16397, 16404, 16388, 16673, 18873, 19062, 16641, 17711, 31289, 16767, 18817, 18355, 16397, 18523, 16395, 16734, 16647, 18150, 16673, 27621, 16395, 16647, 18077, 20332, 16721, 16647, 17679, 16673, 50346, 18964, 17030, 16647, 17092, 16987, 16763, 26222, 21999, 19739, 16671, 18722, 19831, 16673, 50346, 19958, 16397, 16875, 18804, 16395, 16647, 23267, 21487, 16721, 22051, 16604, 16400, 16399, 50346, 16769, 18964, 17560, 16647, 17092, 16987, 16397, 23079, 16395, 16873, 27392, 16721, 22006, 23776, 20160, 27679, 27621, 16671, 21781, 16949, 16886, 50574, 31289, 17123, 21033, 16647, 19799, 27422, 16673, 19165, 16397, 16582, 16582, 23930, 19642, 19831, 22130, 16721, 21999, 16396, 35994, 41345, 23776, 17260, 18345, 35054, 16750, 18093, 17120, 16807, 28613, 17030, 20839, 41345, 23776, 17260, 27621, 16397, 16604, 16401, 16402, 16406, 16404, 16398, 16418, 16399, 16399, 16406 ]
[ 0, 16411, 17258, 24059, 17830, 16412, 16385, 53020, 32195, 16397, 25479, 16401, 16397, 27985, 16446, 16770, 16446, 51575, 16385, 16413, 16582, 16411, 34417, 20583, 16412, 16385, 45369, 16385, 16678, 16412, 16385, 16404, 16403, 16397, 16407, 16385, 17830, 16412, 16385, 18513, 16428, 16385, 29075, 21660, 16412, 16385, 53415, 16385, 16651, 16412, 16385, 16405, 16407, 16385, 16413, 16582, 16696, 16411, 16979, 24731, 16398, 16413, 16582, 16696, 16411, 17167, 19433, 16413, 16582, 16696, 16696, 16411, 28118, 23795, 20241, 16412, 16385, 16386, 16406, 16404, 16408, 16418, 16402, 16420, 16385, 16398, 16413, 16582, 16696, 16696, 16411, 20284, 16413, 16582, 16696, 16696, 16696, 16411, 32596, 18509, 16412, 16385, 16405, 16407, 16385, 16712, 16412, 16385, 16402, 16401, 16397, 16401, 16385, 16398, 16413, 16582, 16696, 16696, 16696, 16411, 17583, 18509, 16412, 16385, 16402, 16403, 16385, 16712, 16412, 16385, 16402, 16404, 16397, 16405, 16385, 16398, 16413, 16582, 16696, 16696, 16696, 16411, 17583, 18509, 16412, 16385, 16402, 16403, 16385, 16712, 16412, 16385, 16400, 16408, 16397, 16401, 16385, 16398, 16413, 16582, 16696, 16696, 16696, 16411, 17583, 18509, 16412, 16385, 16405, 16407, 16385, 16712, 16412, 16385, 16401, 16401, 16397, 16405, 16385, 16398, 16413, 16582, 16696, 16696, 16696, 16411, 27543, 16398, 16413, 16582, 16696, 16696, 16411, 16398, 20284, 16413, 16582, 16696, 16696, 16411, 28118, 41419, 16398, 16413, 16582, 16696, 16696, 16411, 28118, 23795, 20241, 16412, 16385, 16386, 16403, 16417, 16405, 16400, 16401, 16418, 16385, 16398, 16413, 16582, 16696, 16696, 16411, 20284, 16413, 16582, 16696, 16696, 16696, 16411, 32596, 18509, 16412, 16385, 16399, 16385, 16712, 16412, 16385, 16402, 16401, 16397, 16401, 16385, 16398, 16413, 16582, 16696, 16696, 16696, 16411, 17583, 18509, 16412, 16385, 16402, 16403, 16385, 16712, 16412, 16385, 16402, 16404, 16397, 16405, 16385, 16398, 16413, 16582, 16696, 16696, 16696, 16411, 17583, 18509, 16412, 16385, 16402, 16403, 16385, 16712, 16412, 16385, 16400, 16408, 16397, 16401, 16385, 16398, 16413, 16582, 16696, 16696, 16696, 16411, 17583, 18509, 16412, 16385, 16399, 16385, 16712, 16412, 16385, 16401, 16401, 16397, 16405, 16385, 16398, 16413, 16582, 16696, 16696, 16696, 16411, 27543, 16398, 16413, 16582, 16696, 16696, 16411, 16398, 20284, 16413, 16582, 16696, 16696, 16411, 28118, 41419, 16398, 16413, 16582, 16696, 16696, 16411, 28118, 23795, 20241, 16412, 16385, 16386, 16405, 16403, 16407, 16402, 16402, 16408, 16385, 16398, 16413, 16582, 16696, 16696, 16411, 18999, 16678, 16412, 16385, 16400, 16400, 16385, 16651, 16412, 16385, 16404, 16403, 16397, 16404, 16385, 18509, 16412, 16385, 16405, 16397, 16407, 16385, 16712, 16412, 16385, 16399, 16385, 16398, 16413, 16582, 16696, 16696, 16411, 28118, 41419, 16398, 16413, 16582, 16696, 16696, 16411, 28118, 23795, 20241, 16412, 16385, 16386, 16402, 16418, 16403, 16408, 16401, 16408, 16385, 16398, 16413, 16582, 16696, 16696, 16411, 20284, 16413, 16582, 16696, 16696, 16696, 16411, 32596, 18509, 16412, 16385, 16404, 16403, 16397, 16404, 16385, 16712, 16412, 16385, 16400, 16402, 16397, 16407, 16385, 16398, 16413, 16582, 16696, 16696, 16696, 16411, 17583, 18509, 16412, 16385, 16400, 16402, 16397, 16405, 16385, 16712, 16412, 16385, 16400, 16402, 16397, 16407, 16385, 16398, 16413, 16582, 16696, 16696, 16696, 16411, 17583, 18509, 16412, 16385, 16405, 16397, 16407, 16385, 16712, 16412, 16385, 16400, 16400, 16385, 16398, 16413, 16582, 16696, 16696, 16696, 16411, 17583, 18509, 16412, 16385, 16405, 16400, 16397, 16402, 16385, 16712, 16412, 16385, 16400, 16400, 16385, 16398, 16413, 16582, 16696, 16696, 16696, 16411, 27543, 16398, 16413, 16582, 16696, 16696, 16411, 16398, 20284, 16413, 16582, 16696, 16696, 16411, 28118, 41419, 16398, 16413, 16582, 16696, 16696, 16411, 28118, 23795, 20241, 16412, 16385, 16386, 16405, 16403, 16407, 16402, 16402, 16408, 16385, 16398, 16413, 16582, 16696, 16696, 16411, 18999, 16678, 16412, 16385, 16400, 16400, 16385, 16651, 16412, 16385, 16404, 16403, 16397, 16404, 16385, 18509, 16412, 16385, 16405, 16397, 16407, 16385, 16712, 16412, 16385, 16403, 16402, 16397, 16407, 16385, 16398, 16413, 16582, 16696, 16696, 16411, 28118, 41419, 16398, 16413, 16582, 16696, 16696, 16411, 28118, 23795, 20241, 16412, 16385, 16386, 16417, 16406, 22153, 16408, 16419, 16385, 16398, 16413, 16582, 16696, 16696, 16411, 20284, 16413, 16582, 16696, 16696, 16696, 16411, 32596, 18509, 16412, 16385, 16404, 16403, 16397, 16404, 16385, 16712, 16412, 16385, 16403, 16400, 16385, 16398, 16413, 16582, 16696, 16696, 16696, 16411, 17583, 18509, 16412, 16385, 16400, 16402, 16397, 16405, 16385, 16712, 16412, 16385, 16403, 16400, 16385, 16398, 16413, 16582, 16696, 16696, 16696, 16411, 17583, 18509, 16412, 16385, 16405, 16397, 16407, 16385, 16712, 16412, 16385, 16403, 16402, 16397, 16407, 16385, 16398, 16413, 16582, 16696, 16696, 16696, 16411, 17583, 18509, 16412, 16385, 16405, 16400, 16397, 16402, 16385, 16712, 16412, 16385, 16403, 16402, 16397, 16407, 16385, 16398, 16413, 16582, 16696, 16696, 16696, 16411, 27543, 16398, 16413, 16582, 16696, 16696, 16411, 16398, 20284, 16413, 16582, 16696, 16696, 16411, 28118, 41419, 16398, 16413, 16582, 16696, 16411, 16398, 17167, 19433, 16413, 16582, 16411, 16398, 34417, 16413, 16582, 16411, 34417, 20583, 16412, 16385, 45369, 16385, 16678, 16412, 16385, 16404, 16404, 16397, 16408, 16385, 17830, 16412, 16385, 18513, 16428, 37646, 25221, 16385, 29075, 21660, 16412, 16385, 53415, 16385, 16651, 16412, 16385, 16405, 16404, 16397, 16400, 16385, 16413, 16582, 16696, 16411, 16979, 24731, 16398, 16413, 16582, 16696, 16411, 17167, 19433, 16413, 16582, 16696, 16696, 16411, 28118, 23795, 20241, 16412, 16385, 16386, 16403, 16418, 16405, 16401, 16401, 16418, 16385, 16398, 16413, 16582, 16696, 16696, 16411, 20284, 16413, 16582, 16696, 16696, 16696, 16411, 32596, 18509, 16412, 16385, 16405, 16401, 16385, 16712, 16412, 16385, 16404, 16404, 16397, 16408, 16385, 16398, 16413, 16582, 16696, 16696, 16696, 16411, 17583, 18509, 16412, 16385, 16402, 16385, 16712, 16412, 16385, 16404, 16404, 16397, 16408, 16385, 16398, 16413, 16582, 16696, 16696, 16696, 16411, 17712, 16690, 18509, 16400, 16412, 16385, 16400, 16397, 16403, 16385, 18509, 16401, 16412, 16385, 16399, 16385, 18509, 16402, 16412, 16385, 16399, 16385, 16712, 16400, 16412, 16385, 16404, 16404, 16397, 16408, 16385, 16712, 16401, 16412, 16385, 16404, 16403, 16397, 16405, 16385, 16712, 16402, 16412, 16385, 16404, 16401, 16397, 16408, 16385, 16398, 16413, 16582, 16696, 16696, 16696, 16411, 17583, 18509, 16412, 16385, 16399, 16385, 16712, 16412, 16385, 16406, 16385, 16398, 16413, 16582, 16696, 16696, 16696, 16411, 17712, 16690, 18509, 16400, 16412, 16385, 16399, 16385, 18509, 16401, 16412, 16385, 16400, 16397, 16402, 16385, 18509, 16402, 16412, 16385, 16402, 16385, 16712, 16400, 16412, 16385, 16404, 16397, 16403, 16385, 16712, 16401, 16412, 16385, 16403, 16385, 16712, 16402, 16412, 16385, 16403, 16385, 16398, 16413, 16582, 16696, 16696, 16696, 16411, 17583, 18509, 16412, 16385, 16405, 16401, 16397, 16400, 16385, 16712, 16412, 16385, 16403, 16385, 16398, 16413, 16582, 16696, 16696, 16696, 16411, 17712, 16690, 18509, 16400, 16412, 16385, 16405, 16402, 16397, 16406, 16385, 18509, 16401, 16412, 16385, 16405, 16404, 16397, 16400, 16385, 18509, 16402, 16412, 16385, 16405, 16404, 16397, 16400, 16385, 16712, 16400, 16412, 16385, 16403, 16385, 16712, 16401, 16412, 16385, 16404, 16397, 16402, 16385, 16712, 16402, 16412, 16385, 16406, 16385, 16398, 16413, 16582, 16696, 16696, 16696, 16411, 17583, 18509, 16412, 16385, 16405, 16404, 16397, 16400, 16385, 16712, 16412, 16385, 16404, 16402, 16385, 16398, 16413, 16582, 16696, 16696, 16696, 16411, 17712, 16690, 18509, 16400, 16412, 16385, 16405, 16404, 16385, 18509, 16401, 16412, 16385, 16405, 16402, 16397, 16406, 16385, 18509, 16402, 16412, 16385, 16405, 16401, 16385, 16712, 16400, 16412, 16385, 16404, 16403, 16397, 16405, 16385, 16712, 16401, 16412, 16385, 16404, 16404, 16397, 16408, 16385, 16712, 16402, 16412, 16385, 16404, 16404, 16397, 16408, 16385, 16398, 16413, 16582, 16696, 16696, 16696, 16411, 27543, 16398, 16413, 16582, 16696, 16696, 16411, 16398, 20284, 16413, 16582, 16696, 16696, 16411, 28118, 41419, 16398, 16413, 16582, 16696, 16696, 16411, 28118, 23795, 20241, 16412, 16385, 16386, 16406, 16404, 16408, 16418, 16402, 16421, 16385, 16398, 16413, 16582, 16696, 16696, 16411, 20284, 16413, 16582, 16696, 16696, 16696, 16411, 32596, 18509, 16412, 16385, 16405, 16401, 16385, 16712, 16412, 16385, 16404, 16400, 16397, 16408, 16385, 16398, 16413, 16582, 16696, 16696, 16696, 16411, 17583, 18509, 16412, 16385, 16402, 16385, 16712, 16412, 16385, 16404, 16400, 16397, 16408, 16385, 16398, 16413, 16582, 16696, 16696, 16696, 16411, 17712, 16690, 18509, 16400, 16412, 16385, 16400, 16397, 16403, 16385, 18509, 16401, 16412, 16385, 16399, 16385, 18509, 16402, 16412, 16385, 16399, 16385, 16712, 16400, 16412, 16385, 16404, 16400, 16397, 16408, 16385, 16712, 16401, 16412, 16385, 16404, 16399, 16397, 16405, 16385, 16712, 16402, 16412, 16385, 16403, 16407, 16397, 16408, 16385, 16398, 16413, 16582, 16696, 16696, 16696, 16411, 17583, 18509, 16412, 16385, 16399, 16385, 16712, 16412, 16385, 16402, 16385, 16398, 16413, 16582, 16696, 16696, 16696, 16411, 17712, 16690, 18509, 16400, 16412, 16385, 16399, 16385, 18509, 16401, 16412, 16385, 16400, 16397, 16402, 16385, 18509, 16402, 16412, 16385, 16402, 16385, 16712, 16400, 16412, 16385, 16400, 16397, 16403, 16385, 16712, 16401, 16412, 16385, 16399, 16385, 16712, 16402, 16412, 16385, 16399, 16385, 16398, 16413, 16582, 16696, 16696, 16696, 16411, 17583, 18509, 16412, 16385, 16405, 16401, 16397, 16400, 16385, 16712, 16412, 16385, 16399, 16385, 16398, 16413, 16582, 16696, 16696, 16696, 16411, 17712, 16690, 18509, 16400, 16412, 16385, 16405, 16402, 16397, 16406, 16385, 18509, 16401, 16412, 16385, 16405, 16404, 16397, 16400, 16385, 18509, 16402, 16412, 16385, 16405, 16404, 16397, 16400, 16385, 16712, 16400, 16412, 16385, 16399, 16385, 16712, 16401, 16412, 16385, 16400, 16397, 16402, 16385, 16712, 16402, 16412, 16385, 16402, 16385, 16398, 16413, 16582, 16696, 16696, 16696, 16411, 17583, 18509, 16412, 16385, 16405, 16404, 16397, 16400, 16385, 16712, 16412, 16385, 16403, 16408, 16385, 16398, 16413, 16582, 16696, 16696, 16696, 16411, 17712, 16690, 18509, 16400, 16412, 16385, 16405, 16404, 16385, 18509, 16401, 16412, 16385, 16405, 16402, 16397, 16406, 16385, 18509, 16402, 16412, 16385, 16405, 16401, 16385, 16712, 16400, 16412, 16385, 16404, 16399, 16397, 16405, 16385, 16712, 16401, 16412, 16385, 16404, 16400, 16397, 16408, 16385, 16712, 16402, 16412, 16385, 16404, 16400, 16397, 16408, 16385, 16398, 16413, 16582, 16696, 16696, 16696, 16411, 27543, 16398, 16413, 16582, 16696, 16696, 16411, 16398, 20284, 16413, 16582, 16696, 16696, 16411, 28118, 41419, 16398, 16413, 16582, 16696, 16696, 16411, 28118, 23795, 20241, 16412, 16385, 16386, 42001, 20840, 16385, 16398, 16413, 16582, 16696, 16696, 16411, 18999, 16678, 16412, 16385, 16403, 16397, 16403, 16385, 16651, 16412, 16385, 16403, 16407, 16397, 16406, 16385, 18509, 16412, 16385, 16400, 16401, 16397, 16407, 16385, 16712, 16412, 16385, 16403, 16397, 16400, 16385, 16398, 16413, 16582, 16696, 16696, 16411, 28118, 41419, 16398, 16413, 16582, 16696, 16696, 16411, 17182, 16919, 16710, 16678, 16412, 16385, 16406, 16385, 16651, 16412, 16385, 16406, 16385, 18509, 16412, 16385, 16401, 16397, 16407, 16385, 16712, 16412, 16385, 16401, 16397, 16407, 16385, 16398, 16413, 16582, 16696, 16696, 16411, 28118, 41419, 16398, 16413, 16582, 16696, 16696, 16411, 18999, 16678, 16412, 16385, 16402, 16404, 16397, 16400, 16385, 16651, 16412, 16385, 16404, 16407, 16385, 18509, 16412, 16385, 16402, 16397, 16404, 16385, 16712, 16412, 16385, 16400, 16401, 16397, 16407, 16385, 16398, 16413, 16582, 16696, 16696, 16411, 28118, 41419, 16398, 16413, 16582, 16696, 16696, 16411, 28118, 23795, 20241, 16412, 16385, 16386, 16406, 16404, 16408, 16418, 16402, 16421, 16385, 16398, 16413, 16582, 16696, 16696, 16411, 20284, 16413, 16582, 16696, 16696, 16696, 16411, 32596, 18509, 16412, 16385, 16402, 16407, 16385, 16712, 16412, 16385, 16402, 16403, 16397, 16400, 16385, 16398, 16413, 16582, 16696, 16696, 16696, 16411, 17583, 18509, 16412, 16385, 16402, 16406, 16397, 16407, 16385, 16712, 16412, 16385, 16402, 16403, 16397, 16406, 16385, 16398, 16413, 16582, 16696, 16696, 16696, 16411, 17583, 18509, 16412, 16385, 16402, 16406, 16397, 16402, 16385, 16712, 16412, 16385, 16402, 16405, 16397, 16400, 16385, 16398, 16413, 16582, 16696, 16696, 16696, 16411, 17583, 18509, 16412, 16385, 16402, 16405, 16385, 16712, 16412, 16385, 16402, 16404, 16397, 16404, 16385, 16398, 16413, 16582, 16696, 16696, 16696, 16411, 17583, 18509, 16412, 16385, 16402, 16404, 16397, 16403, 16385, 16712, 16412, 16385, 16402, 16404, 16397, 16401, 16385, 16398, 16413, 16582, 16696, 16696, 16696, 16411, 17583, 18509, 16412, 16385, 16402, 16404, 16397, 16400, 16385, 16712, 16412, 16385, 16402, 16404, 16397, 16406, 16385, 16398, 16413, 16582, 16696, 16696, 16696, 16411, 17583, 18509, 16412, 16385, 16402, 16403, 16397, 16401, 16385, 16712, 16412, 16385, 16402, 16405, 16397, 16408, 16385, 16398, 16413, 16582, 16696, 16696, 16696, 16411, 17583, 18509, 16412, 16385, 16402, 16402, 16397, 16400, 16385, 16712, 16412, 16385, 16402, 16405, 16385, 16398, 16413, 16582, 16696, 16696, 16696, 16411, 17583, 18509, 16412, 16385, 16402, 16401, 16397, 16405, 16385, 16712, 16412, 16385, 16402, 16404, 16397, 16405, 16385, 16398, 16413, 16582, 16696, 16696, 16696, 16411, 17583, 18509, 16412, 16385, 16402, 16401, 16397, 16401, 16385, 16712, 16412, 16385, 16402, 16405, 16385, 16398, 16413, 16582, 16696, 16696, 16696, 16411, 17583, 18509, 16412, 16385, 16402, 16400, 16385, 16712, 16412, 16385, 16402, 16405, 16397, 16408, 16385, 16398, 16413, 16582, 16696, 16696, 16696, 16411, 17583, 18509, 16412, 16385, 16402, 16399, 16397, 16401, 16385, 16712, 16412, 16385, 16402, 16404, 16397, 16406, 16385, 16398, 16413, 16582, 16696, 16696, 16696, 16411, 17583, 18509, 16412, 16385, 16401, 16408, 16397, 16408, 16385, 16712, 16412, 16385, 16402, 16404, 16397, 16401, 16385, 16398, 16413, 16582, 16696, 16696, 16696, 16411, 17583, 18509, 16412, 16385, 16401, 16408, 16397, 16402, 16385, 16712, 16412, 16385, 16402, 16404, 16397, 16404, 16385, 16398, 16413, 16582, 16696, 16696, 16696, 16411, 17583 ]
[ 0, 16421, 29251, 17907, 44051, 24538, 16397, 20836, 16397, 65020, 23287, 16784, 37627, 16582, 16582, 16421, 29251, 17907, 44051, 24538, 16397, 20836, 16397, 65020, 23287, 16784, 37627, 16395, 55820, 16741, 16647, 39879, 16673, 16647, 30010, 16785, 16647, 27583, 16715, 20407, 17552, 16395, 16763, 16641, 20005, 40994, 19644, 17415, 63144, 18514, 16396, 39145, 17394, 26308, 40164, 17907, 44051, 24538, 16397, 16674, 20545, 16396, 39145, 17394, 26308, 65020, 23287, 16784, 37627, 16397, 16999, 18200, 17617, 16709, 17907, 16604, 16401, 16395, 16604, 16401, 16399, 16400, 16404, 16395, 16767, 16647, 64606, 21943, 27665, 34063, 16672, 25331, 26836, 16395, 32024, 16397, 17907, 44051, 24538, 16397, 17660, 16647, 24255, 16809, 54811, 19270, 16395, 16734, 17142, 29006, 27705, 16728, 16604, 16400, 16400, 16405, 17064, 16400, 16400, 16401, 16674, 16647, 16977, 16604, 16400, 16400, 16407, 17064, 16400, 16400, 16399, 16397, 21604, 16647, 19080, 16763, 19570, 16671, 16703, 16917, 16673, 16647, 17154, 30571, 35381, 19122, 16672, 18496, 16395, 16728, 16763, 23971, 19570, 16641, 17723, 19671, 16809, 30223, 16674, 30226, 30782, 19028, 17073, 24696, 16397, 16582, 16582, 27631, 33477, 16721, 17907, 44051, 17064, 36380, 16784, 37627, 16961, 16703, 16647, 21165, 16396, 16454, 17591, 16661, 19080, 16672, 18496, 16741, 18334, 16741, 16604, 16401, 16399, 16399, 16408, 16395, 35990, 19894, 17415, 16647, 17142, 20005, 19855, 16756, 16390, 31162, 16709, 19246, 16715, 16647, 19080, 33883, 16647, 33616, 16815, 18767, 16671, 65158, 18015, 16604, 16401, 16399, 16400, 16404, 16397, 16772, 22155, 16671, 37367, 16647, 17907, 44051, 17064, 36380, 16784, 37627, 19080, 16763, 20472, 16647, 16604, 16401, 16399, 16400, 16399, 25551, 16673, 16647, 20812, 16809, 16772, 34738, 16397, 56962, 29894, 16958, 21815, 61277, 16672, 16604, 16401, 16399, 16400, 16403, 16809, 16667, 26443, 19419, 16409, 16641, 25354, 63545, 16674, 17015, 16396, 18489, 24471, 16395, 37267, 45038, 16395, 17366, 16641, 18474, 25651, 17415, 23287, 16784, 37627, 16390, 16466, 37385, 16674, 17588, 16699, 16795, 48978, 18107, 16959, 16674, 32624, 18819, 25620, 26881, 17537, 16395, 16929, 17490, 19304, 16671, 29202, 16647, 19644, 16397, 19139, 16604, 16401, 16399, 16400, 16404, 16395, 29894, 16715, 16647, 19080, 16955, 16992, 56525, 16395, 16734, 16858, 16673, 16647, 18166, 18707, 16721, 33883, 16647, 19080, 16815, 22491, 16672, 16647, 18074, 30432, 16395, 17789, 45512, 24105, 16395, 20632, 21544, 16674, 20447, 16397, 16582, 16582, 16853, 19080, 16763, 58084, 17181, 16641, 17839, 16396, 16874, 16396, 17481, 16604, 16391, 26234, 16437, 16392, 41409, 21047, 16809, 41142, 16674, 22344, 18489, 16395, 16647, 26945, 17262, 17258, 17082, 16756, 16673, 23287, 16784, 37627, 16674, 17907, 44051, 16397, 16875, 16647, 30458, 16395, 16647, 19080, 16763, 17027, 24696, 16672, 17432, 16748, 19111, 18325, 17567, 16673, 16647, 18034, 16390, 16466, 18166, 24696, 22523, 23905, 16397, 16772, 19080, 16763, 19272, 16671, 16703, 16647, 17154, 46615, 16672, 16647, 18496, 16673, 20005, 40994, 16409, 16734, 16667, 20808, 25018, 16673, 16604, 16403, 16397, 16403, 18115, 32143, 16395, 16647, 38721, 16437, 19958, 23545, 22266, 21615, 16672, 16647, 18303, 18644, 16604, 16391, 16436, 16397, 16434, 16397, 16392, 16734, 16604, 16387, 16403, 16400, 16399, 18115, 16672, 22266, 16395, 18065, 16728, 16647, 21165, 16396, 16454, 17591, 16661, 38721, 16437, 16672, 18496, 16395, 37544, 16661, 17907, 44051, 17064, 51024, 16459, 56012, 16672, 16604, 16401, 16399, 16400, 16402, 16397, 19139, 19118, 16604, 16401, 16399, 16400, 16404, 16395, 16647, 20458, 16955, 16992, 33891, 16671, 16604, 16403, 16397, 16405, 18115, 16397, 16772, 24696, 16673, 16647, 19080, 16672, 16647, 30458, 16763, 22939, 16809, 20113, 18519, 16647, 18034, 16390, 16466, 32330, 16397, 30470, 16671, 16647, 18156, 17362, 18787, 16673, 16647, 38721, 16437, 16395, 16647, 19080, 16763, 17027, 24305, 24696, 17181, 50170, 18693, 32578, 16709, 18373, 17274, 16741, 19002, 24287, 17636, 16397, 16582, 16582, 27631, 16647, 18122, 18636, 16673, 36064, 16721, 28160, 16728, 16395, 30223, 19273, 16721, 16647, 33616, 19302, 16763, 35767, 16395, 24203, 36521, 17907, 44051, 16390, 16466, 21859, 16396, 34159, 21084, 16672, 16647, 22999, 16674, 23287, 16784, 37627, 16390, 16466, 26218, 16672, 29390, 55939, 16709, 17907, 44051, 16397, 17170, 16955, 19684, 16671, 16991, 30223, 16691, 16396, 31976, 26112, 16647, 19080, 16604, 16390, 44644, 24117, 33689, 36125, 16390, 18661, 17032, 16604, 16390, 16421, 16818, 16673, 16647, 30010, 16390, 16397, 16999, 16763, 18242, 22130, 18211, 16647, 18094, 16721, 23287, 16784, 37627, 16955, 31132, 16667, 48455, 32580, 22193, 16671, 16888, 17262, 26050, 17437, 19115, 16674, 16721, 17437, 16728, 16955, 47558, 16672, 17005, 16715, 16647, 19080, 16395, 16733, 16691, 16396, 42569, 17919, 16728, 17560, 16647, 21904, 20011, 16397, 23079, 32408, 29059, 17014, 16728, 16763, 22130, 16721, 19421, 16671, 16647, 19080, 16395, 17907, 44051, 16955, 16992, 32533, 25833, 43205, 31825, 16809, 16647, 18303, 18644, 31791, 16396, 16419, 32804, 25591, 16604, 16391, 18763, 45059, 16392, 17181, 16641, 34459, 21126, 16604, 16385, 17347, 29612, 17231, 40963, 16385, 17205, 16657, 40963, 16395, 18919, 16395, 16804, 30936, 16809, 16647, 32024, 18490, 42385, 20797, 16604, 16391, 22333, 18513, 16392, 16397, 16582, 16582, 36300, 16582, 18811, 16647, 19080, 16763, 20085, 16395, 17907, 44051, 16763, 16604, 16402, 16407, 17202, 17719, 16674, 17363, 63144, 16395, 16734, 16641, 19303, 20005, 18156, 16673, 16604, 16403, 16406, 24847, 16674, 17028, 26221, 16397, 17813, 18850, 16604, 16405, 16395, 16604, 16401, 16399, 16399, 16407, 16395, 18817, 18355, 17135, 49224, 52395, 34691, 17475, 16809, 16641, 44112, 16396, 20300, 21975, 56276, 16395, 17907, 44051, 20085, 16888, 25846, 16815, 40994, 16397, 18073, 16647, 17005, 16395, 19984, 16958, 16672, 22846, 16715, 16641, 17233, 17352, 16734, 31119, 17267, 19719, 16751, 43259, 16395, 16944, 16763, 17395, 16671, 17391, 17617, 19118, 16604, 16401, 16399, 16395, 16604, 16401, 16399, 16399, 16407, 16397, 16604, 16385, 17635, 19270, 16763, 16804, 16667, 18994, 16917, 16715, 16848, 16671, 17190, 16741, 40994, 16704, 16858, 16687, 16807, 18090, 17608, 16687, 16763, 16641, 17486, 16395, 16385, 17907, 44051, 17031, 16397, 16604, 16385, 21925, 16395, 17213, 18074, 17589, 17202, 16807, 16992, 21408, 18882, 16715, 16848, 16671, 17393, 16647, 23155, 16674, 24017, 16671, 19072, 16672, 16647, 22454, 16397, 16385, 18073, 16647, 17005, 16395, 16604, 16402, 16400, 16396, 18673, 16396, 17082, 17907, 44051, 22958, 16604, 16402, 16408, 24847, 16674, 17028, 26221, 16672, 16888, 25039, 19446, 16397, 18073, 16647, 17005, 16673, 16888, 25846, 16395, 16772, 34738, 16955, 17907, 44051, 27605, 16741, 16647, 17933, 16397, 16604, 16400, 34741, 16396, 17756, 16396, 45815, 32976, 16672, 16647, 17394, 16395, 16734, 65020, 23287, 16784, 37627, 16767, 17933, 16397, 16604, 16401, 16397, 16582, 16582, 24480, 17907, 44051, 16390, 16466, 21695, 25846, 16395, 23287, 16784, 37627, 23981, 49151, 20584, 16672, 17240, 16673, 16647, 21994, 17394, 16734, 16888, 34358, 16396, 20300, 21975, 56276, 23277, 17030, 31119, 17267, 19719, 16751, 43259, 16395, 16715, 16944, 16733, 20232, 16903, 16815, 43319, 16671, 20026, 16737, 24056, 16604, 16391, 16400, 16402, 16404, 26568, 16671, 16604, 16400, 16403, 16406, 26568, 16392, 16397, 16582, 16582, 18301, 17907, 16604, 16401, 16395, 16604, 16401, 16399, 16399, 16408, 16395, 16647, 17386, 16673, 23287, 16784, 37627, 16390, 16466, 19080, 17647, 52395, 34691, 17475, 16395, 17907, 44051, 20085, 16721, 16733, 16763, 18767, 16891, 16673, 25846, 16674, 16961, 19080, 32515, 43455, 16727, 32002, 42925, 16395, 16772, 34738, 43319, 26308, 16674, 17933, 16397, 16604, 16401, 34741, 16396, 17756, 16396, 45815, 32976, 16395, 16709, 18936, 16604, 16400, 16407, 16395, 16604, 16401, 16399, 16399, 16408, 16395, 16672, 16641, 20026, 16737, 24056, 17975, 16396, 23718, 19080, 16397, 16727, 32002, 42925, 16955, 21216, 27382, 23287, 16784, 37627, 16672, 17142, 29242, 65447, 16409, 16873, 27382, 16671, 16641, 16604, 16400, 16401, 16396, 20300, 19710, 16709, 17907, 16604, 16407, 16395, 16604, 16401, 16399, 16399, 16403, 16395, 16674, 23287, 16784, 37627, 16763, 25011, 16641, 16604, 16400, 16401, 16396, 20300, 24105, 19270, 17942, 16709, 18810, 16604, 16400, 16404, 16395, 16604, 16401, 16399, 16399, 16407, 16397, 17907, 44051, 19277, 17285, 23287, 16784, 37627, 16390, 16466, 17009, 26025, 16726, 16835, 16680, 16767, 16888, 18512, 21301, 16395, 31779, 16409, 16604, 16385, 17991, 16733, 24847, 24605, 16395, 17121, 16390, 16467, 16703, 16858, 30712, 16604, 16397, 16397, 16397, 40333, 19769, 17016, 16414, 16687, 21116, 16604, 16391, 55866, 17475, 16392, 17014, 16733, 16763, 63144, 16397, 23287, 16784, 37627, 21116, 31119, 16395, 16728, 17121, 16390, 16467, 18798, 16397, 33965, 17285, 16671, 16604, 16400, 16403, 16406, 26568, 16763, 17441, 17240, 16715, 16604, 16391, 19577, 19719, 16751, 43259, 16392, 16395, 16733, 16763, 19357, 17135, 16647, 17092, 20011, 16397, 18331, 16397, 16397, 16397, 18196, 16732, 17966, 40994, 16395, 16732, 17966, 40164, 17907, 44051, 16397, 16385, 16582, 16582, 36380, 16784, 37627, 16961, 16854, 16709, 16671, 27270, 34691, 17475, 16809, 16641, 17711, 16396, 20300, 56276, 16671, 17942, 16772, 34738, 29102, 20026, 16737, 24056, 20071, 16397, 16772, 17942, 17366, 17107, 16647, 17711, 59475, 16672, 18496, 16671, 17942, 26223, 16672, 18817, 20007, 35888, 16395, 16647, 17092, 17255, 31119, 17267, 19719, 16751, 43259, 16397, 16582, 16582, 21804, 44051, 20836, 16397, 16727, 32002, 42925, 16763, 47490, 18015, 19118, 16604, 16400, 16408, 16395, 16604, 16401, 16399, 16399, 16408, 16395, 18443, 16671, 16641, 28675, 22193, 25196, 16809, 17907, 44051, 16397, 26274, 17255, 16891, 16673, 16647, 22999, 16715, 16604, 16401, 16400, 18355, 16395, 17907, 44051, 19513, 16741, 25669, 16741, 18021, 16674, 31684, 16647, 19080, 16395, 22205, 16809, 16641, 16685, 18983, 18789, 16604, 16400, 16401, 16396, 20300, 54811, 19270, 16397, 18916, 16647, 33616, 16395, 17907, 44051, 26105, 50355, 22197, 36929, 16799, 23238, 17100, 22039, 16721, 16641, 19080, 16734, 23287, 16784, 37627, 16763, 16647, 16604, 16385, 24374, 20212, 20100, 16815, 16641, 21128, 44064, 16397, 16385, 16582, 16582, 18301, 19196, 16604, 16400, 16403, 16395, 16604, 16401, 16399, 16399, 16408, 16395, 23287, 16784, 37627, 21817, 34254, 16778, 23798, 19830, 44334, 16719, 43912, 16672, 20011, 16604, 16400, 16401, 16671, 17942, 16647, 16762, 24920, 20026, 16737, 24056, 20071, 16397, 23287, 16784, 37627, 16390, 16466, 23277, 41308, 16641, 18691, 59288, 16674, 20419, 16958, 18730, 16671, 20093, 16641, 19080, 17415, 16647, 17142, 16673, 17007, 16395, 21051, 16647, 17551, 16721, 16647, 20492, 19080, 19302, 16955, 16804, 26732, 16992, 17366, 18352, 16674, 16961, 16804, 17391, 17617, 18015, 16604, 16401, 16399, 16400, 16404, 16397, 16582, 16582, 22397, 29894, 16582, 18301, 19293, 16604, 16404, 16395, 16604, 16401, 16399, 16399, 16408, 16395, 35483, 19074, 16721, 23287, 16784, 37627, 21889, 16641, 19436, 16671, 19080, 17907, 44051, 16709, 18810, 16604, 16400, 16402, 16395, 16604, 16401, 16399, 16400, 16399, 16397, 55079, 44191, 16395, 23287, 16784, 37627, 26358, 18021, 27636, 16641, 19436, 16671, 19080, 17907, 44051, 16395, 21922, 34735, 34618, 16395, 16604, 16385, 18377, 16769, 17363, 16991, 17578, 16721, 17109, 16671, 16703, 44942, 16397, 16385, 17813, 19293, 16604, 16400, 16400, 16395, 16582, 46440, 24911, 26105, 50355, 18630, 16667, 20545, 16396, 22713, 19436, 16671, 21850, 34382, 16395, 46049, 16641, 16604, 16404, 16399, 17064, 16404, 16399, 19144, 24105, 16715, 16641, 19080, 16671, 17391, 17617, 16709, 18810, 16604, 16400, 16402, 16395, 16604, 16401, 16399, 16400, 16399, 16397, 16772, 19436, 16763, 17238, 23435, 16395, 17789, 17274, 22742, 16741, 16929, 16961, 28804, 16396, 16642, 17092, 16604, 16391, 36380, 16784, 37627, 16392, 16395, 16929, 16961, 20502, 16647, 22999, 17092, 16604, 16391, 36380, 16784, 37627, 16392, 16674, 16929, 16961, 16703, 22204, 17092, 16604, 16391, 21804, 44051, 16392, 16397, 16772, 19436, 19618, 16667, 41142, 38721, 16437, 21317, 16767, 16641, 17985, 16673, 16604, 16387, 16404, 16408, 16397, 16408, 16404, 16397, 20498, 16661, 16763, 16671, 16703, 16604, 16385, 21804, 44051, 20836, 16397, 23287, 16784, 37627, 16395, 20905, 16809, 21850, 34382, 16395, 26500, 24911, 26105, 50355, 16395, 17907, 44051, 26105, 50355, 16674, 16727, 16396, 16431, 26105, 50355, 16672, 24426, 16734, 16604, 16442, 48822, 37165, 16674, 16647, 18758, 16444, 16397, 16385, 20099, 19618, 16672, 16647, 19436, 16763, 28179, 16396, 22137, 20632, 21544, 16397, 26310, 17296, 16715, 16647, 19080, 17255, 22849, 16958, 43032, 28632, 16672, 47665, 16395, 20830, 16395, 16647, 64606, 21943, 27665, 34063, 16672, 25331, 26836, 16674, 16647, 21553, 16451, 16838, 16672, 17360, 29656, 16397, 16582, 16582, 17071, 16641, 18677, 29106, 16604, 16385, 25230, 16661, 35976, 48978, 18107, 16959, 44521, 20748, 17813, 23287, 16784, 37627, 16385, 41605, 16671, 24984, 16709, 19293, 16604, 16400, 16400, 16395, 16604, 16401, 16399, 16399, 16408, 16395, 23287, 16784, 37627, 16390, 16466, 37385, 16395, 48978, 18107, 16959, 16395, 22130, 16647, 17092, 30756, 16931, 17907, 44051, 16390, 16466, 19181, 16715, 28179, 16396, 22137, 20632, 21544, 16395, 21922, 17053, 17368, 29477, 18946, 16855, 17227, 16760, 31386, 16395, 16604, 16385, 16424, 19339, 29894, 16769, 16641, 17687, 53743, 16397, 16604, 16391, 34869, 16392, 18609, 20056, 18029, 16674, 17007, 16769, 37979, 16931, 17536, 16397, 17513, 17137, 28179, 16396, 22137, 20632, 21544, 16397, 16687, 17031, 16395, 16604, 16390, 26042, 16395, 17028, 18234, 16397, 16390, 16687, 17031, 16395, 16604, 16390, 40685, 16732, 17137, 16397, 16390, 21123, 16742, 23013, 16721, 16395, 17178, 16873, 16390, 16644, 19264, 27703, 17244, 16397, 16385, 16582, 16582, 18301, 19293, 16604, 16400, 16402, 16395, 16604, 16401, 16399, 16399, 16408, 16395, 23287, 16784, 37627, 16390, 16466, 37505, 16395, 20513, 28421, 27301, 16395, 17031, 17907, 44051, 16390, 16466, 19181, 16715, 28179, 16396, 22137, 20632, 21544, 16763, 16641, 30379, 18798, 16674, 16873, 16955, 17028, 22175, 36415, 16931, 16728, 16397, 16604, 16385, 20965, 22570, 16704, 16395, 16604, 16390, 18473, 17016, 16414, 16390, 17119, 17039, 65020 ]
[ 0, 38194, 16604, 16474, 16386, 37256, 16400, 16476, 16582, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16582, 16582, 29085, 16851, 20053, 16704, 16647, 17154, 18545, 20053, 28378, 16672, 18130, 16395, 16734, 16667, 23381, 16604, 16400, 16397, 16406, 18115, 17009, 19140, 16972, 16987, 24278, 16445, 16442, 16415, 23965, 16400, 16444, 16445, 16397, 47094, 44402, 19831, 16807, 30103, 23665, 20053, 17065, 17910, 18166, 17242, 30179, 18138, 16709, 23273, 20825, 31390, 16409, 50056, 17667, 16711, 16395, 50056, 17667, 16738, 16395, 42932, 16401, 16396, 37230, 16395, 16674, 51615, 16396, 19064, 23665, 38030, 16445, 16442, 16415, 23965, 16401, 16444, 16445, 16397, 28224, 23665, 20053, 17242, 30179, 16958, 22557, 16809, 16772, 26460, 65451, 45356, 19831, 16445, 16442, 16415, 23965, 16402, 16444, 16445, 16397, 27903, 16395, 20475, 25341, 16674, 19208, 16671, 38094, 35177, 16809, 23665, 20053, 17242, 18926, 16445, 16442, 16415, 23965, 16403, 16444, 16445, 16397, 16582, 16582, 16853, 20987, 16673, 51615, 16396, 19064, 23665, 20053, 24588, 16704, 29781, 16809, 16647, 19744, 16673, 36758, 39043, 16674, 16647, 25739, 16673, 42932, 16401, 53316, 16410, 20821, 16395, 16728, 16704, 23541, 16671, 16741, 31553, 16396, 40821, 23665, 20053, 16604, 16391, 16435, 36077, 16392, 16445, 16442, 16415, 23965, 16404, 16444, 16445, 16397, 16700, 36077, 16704, 16667, 27747, 23665, 20053, 27659, 16715, 16604, 16400, 16404, 16396, 16396, 16401, 16399, 16388, 16673, 16858, 23665, 20053, 19140, 16445, 16442, 16415, 23965, 16405, 16444, 16445, 16397, 16700, 36077, 16704, 19970, 16734, 16641, 17362, 30174, 18960, 18443, 16672, 17015, 16671, 16647, 20349, 57722, 19927, 16673, 16700, 36077, 16445, 16442, 16415, 23965, 16406, 16444, 16445, 16395, 16741, 17204, 16741, 16647, 19744, 16673, 20176, 38094, 16445, 16442, 16415, 23965, 16407, 16444, 16445, 16397, 23466, 16395, 20287, 16647, 27287, 16721, 19786, 16700, 36077, 31462, 16674, 57663, 21002, 16667, 17889, 19708, 16715, 20176, 19083, 16674, 19165, 16673, 16811, 20062, 16397, 16582, 16582, 16853, 53575, 24020, 22036, 17797, 25438, 16673, 16604, 16405, 16404, 18206, 26513, 16395, 29781, 16809, 16647, 21057, 16673, 16647, 53575, 24020, 16445, 16442, 16415, 23965, 16408, 16444, 16445, 16397, 16772, 53575, 24020, 16395, 16641, 20349, 51409, 40961, 16452, 16856, 16396, 22837, 24020, 16395, 58377, 16672, 22036, 16396, 16396, 57256, 26459, 16445, 16442, 16415, 23965, 16400, 16399, 16444, 16445, 16397, 16711, 21677, 17242, 31701, 16672, 16811, 23479, 19497, 16647, 53575, 24020, 43441, 16604, 16401, 16604, 16391, 16427, 19806, 16426, 16401, 16392, 16395, 16944, 16704, 16667, 17889, 41736, 16673, 19134, 16674, 31300, 16673, 18295, 38030, 16395, 17789, 52078, 20053, 16395, 42824, 20053, 16395, 36517, 16786, 16668, 47267, 16395, 16674, 37758, 54644, 20740, 16445, 16442, 16415, 23965, 16400, 16400, 16444, 16396, 16396, 16442, 16415, 23965, 16400, 16404, 16444, 16445, 16397, 27903, 16395, 16991, 19831, 16807, 19628, 16721, 53575, 16426, 16401, 20825, 16674, 19962, 23361, 17135, 19165, 16734, 18241, 23798, 17987, 22163, 16395, 16674, 17213, 19831, 16807, 52520, 53575, 16426, 16401, 16672, 20632, 23759, 16445, 16442, 16415, 23965, 16400, 16405, 16444, 16396, 16396, 16442, 16415, 23965, 16400, 16407, 16444, 16445, 16397, 16582, 16582, 24346, 53575, 16426, 16401, 16872, 16992, 52520, 16672, 18295, 17476, 20053, 20286, 16395, 16647, 18814, 16673, 53575, 16426, 16401, 16672, 23665, 20053, 16704, 16804, 20519, 23999, 16397, 26713, 16395, 17238, 17589, 25749, 16673, 53575, 16426, 16401, 16807, 16992, 21766, 16397, 19525, 17213, 16395, 17097, 17055, 21930, 16642, 16604, 16400, 16872, 16992, 24305, 23954, 16445, 16442, 16415, 23965, 16400, 16408, 16444, 16395, 16442, 16415, 23965, 16401, 16399, 16444, 16445, 16397, 20195, 16395, 16742, 17299, 16721, 53575, 16426, 16401, 16704, 56086, 19298, 16672, 16700, 36077, 16674, 16704, 19865, 16715, 16647, 57722, 31462, 16673, 16700, 36077, 16397, 25453, 16667, 59092, 19364, 27689, 16754, 19526, 39478, 19474, 16673, 24797, 42089, 17636, 46816, 16734, 34226, 32245, 16672, 18155, 19995, 16604, 16391, 16434, 19892, 18513, 16392, 16395, 16742, 21766, 16604, 16401, 16404, 16407, 26513, 20040, 50485, 16763, 21777, 21999, 18443, 16671, 53575, 16426, 16401, 38455, 16395, 17789, 16702, 23610, 16421, 22036, 43441, 16604, 16400, 16604, 16391, 16434, 20714, 16426, 16400, 16392, 16397, 17119, 17494, 16721, 53575, 16426, 16401, 38455, 25426, 34024, 42384, 16400, 50485, 16674, 19962, 16410, 20821, 16395, 53575, 16426, 16401, 17223, 22447, 16641, 47523, 57663, 27497, 17717, 16395, 16672, 17015, 19565, 44889, 34024, 42384, 16400, 17917, 16397, 16582, 16582, 32271, 16604, 16474, 16386, 37256, 16401, 16476, 16582, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16582, 16582, 16427, 19806, 16426, 16401, 16704, 56086, 19298, 16672, 16700, 36077, 16674, 16704, 19865, 16715, 46060, 16700, 36077, 57722, 29939, 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, 16582, 16582, 18313, 17967, 16647, 18814, 16673, 53575, 16426, 16401, 16672, 23665, 20053, 16395, 16742, 17092, 18666, 18515, 53575, 16426, 16401, 16704, 56086, 19298, 16672, 23665, 20053, 16397, 17999, 16811, 17291, 16395, 16742, 28060, 16641, 23665, 20053, 24588, 20338, 20980, 16604, 16391, 16443, 16386, 19634, 16399, 16407, 16400, 16400, 16401, 16399, 16452, 16395, 17824, 22437, 16680, 17271, 19376, 16397, 16392, 16397, 17170, 24588, 20879, 19618, 16604, 16400, 16399, 16399, 19140, 16673, 39092, 23665, 20053, 16674, 16604, 16400, 16399, 30039, 19732, 23665, 32113, 16734, 17624, 16709, 28008, 16395, 22063, 16395, 16674, 42932, 16401, 20584, 16604, 16391, 22224, 16604, 16442, 16434, 16400, 16444, 16391, 16386, 24197, 18311, 16428, 16401, 16392, 16474, 18452, 16396, 18926, 16412, 16385, 29743, 16385, 16476, 16392, 16397, 16875, 24813, 17519, 39102, 30448, 19335, 16395, 16742, 17494, 16721, 53575, 16426, 16401, 20825, 16763, 21777, 18846, 16672, 23665, 20053, 23375, 16395, 17789, 17310, 16673, 16700, 36077, 16395, 17032, 16672, 19732, 24588, 16604, 16391, 24001, 16397, 16604, 16442, 16434, 16400, 16448, 16395, 16660, 16444, 16391, 16386, 24197, 18311, 16428, 16400, 16392, 16474, 18452, 16396, 18926, 16412, 16385, 29743, 16385, 16476, 16395, 23984, 16604, 16442, 16434, 16400, 16444, 16391, 16386, 24197, 18311, 16428, 16401, 16392, 16474, 18452, 16396, 18926, 16412, 16385, 29743, 16385, 16476, 16395, 24502, 16466, 16397, 16604, 16442, 16400, 16448, 16395, 16660, 16444, 16391, 16386, 24001, 16400, 16392, 16474, 18452, 16396, 18926, 16412, 16385, 19327, 16385, 16476, 16395, 16674, 16604, 16442, 16434, 16400, 16450, 16444, 16391, 16386, 24197, 18311, 16428, 16400, 16392, 16474, 18452, 16396, 18926, 16412, 16385, 29743, 16385, 16476, 16392, 16397, 20919, 16700, 36077, 16704, 16667, 27747, 23665, 20053, 17242, 18926, 16721, 19333, 37613, 20176, 31624, 25054, 16395, 16742, 21882, 17038, 19831, 16734, 53575, 16426, 16401, 16709, 16700, 36077, 16397, 17999, 18613, 21177, 16647, 18814, 16673, 53575, 16426, 16401, 16672, 16700, 36077, 16466, 16395, 16742, 26961, 17038, 53575, 16426, 16401, 22036, 20825, 28830, 16397, 17999, 16811, 17291, 16395, 16742, 28060, 17567, 19642, 16700, 36077, 24588, 20338, 19504, 16975, 16715, 53575, 16426, 16401, 22036, 20825, 17655, 24813, 17519, 39102, 40879, 16604, 16391, 16424, 29962, 16392, 16409, 16966, 16435, 21423, 16402, 16400, 16400, 16604, 16391, 16393, 16461, 16393, 20464, 16412, 20464, 16408, 16401, 16392, 16395, 16966, 16435, 21423, 16402, 16403, 16400, 16604, 16391, 16393, 16461, 16393, 20464, 16412, 20464, 16404, 16402, 16392, 16395, 16674, 16966, 16435, 21423, 16402, 16403, 16406, 16604, 16391, 16393, 16461, 16393, 20464, 16412, 20464, 16404, 16403, 16410, 23984, 16604, 16442, 16434, 16401, 16444, 16391, 16386, 24197, 18311, 16428, 16402, 16392, 16474, 18452, 16396, 18926, 16412, 16385, 29743, 16385, 16476, 16392, 16397, 28224, 16671, 16647, 18466, 16673, 17038, 20808, 19335, 16395, 16742, 17494, 16721, 16641, 37384, 16673, 16700, 36077, 20475, 23375, 17027, 23078, 18846, 19415, 16673, 53575, 16426, 16401, 16604, 16391, 24001, 16397, 16604, 16442, 16400, 16450, 16395, 16670, 16444, 16391, 16386, 24001, 16400, 16392, 16474, 18452, 16396, 18926, 16412, 16385, 19327, 16385, 16476, 16674, 23984, 16604, 16442, 16434, 16401, 16444, 16391, 16386, 24197, 18311, 16428, 16402, 16392, 16474, 18452, 16396, 18926, 16412, 16385, 29743, 16385, 16476, 16392, 16397, 19921, 24825, 16734, 17038, 18466, 16395, 19335, 16673, 19705, 27362, 18125, 23665, 20053, 39438, 20825, 43713, 17027, 20332, 21777, 18846, 53575, 16426, 16401, 39438, 20825, 16672, 16700, 36077, 16604, 16391, 17528, 30011, 16401, 16398, 17528, 16398, 20714, 20809, 16392, 19739, 16671, 23665, 20053, 16734, 16977, 33742, 37472, 20584, 16604, 16391, 24001, 16397, 16604, 16442, 16434, 16400, 16451, 16396, 16396, 16456, 16444, 16391, 16386, 24197, 18311, 16428, 16400, 16392, 16474, 18452, 16396, 18926, 16412, 16385, 29743, 16385, 16476, 16392, 16445, 16442, 16415, 23965, 16401, 16400, 16444, 16396, 16396, 16442, 16415, 23965, 16401, 16405, 16444, 16445, 16397, 26713, 16395, 16809, 37600, 18295, 27362, 18125, 23665, 20053, 39438, 20825, 43713, 16395, 16742, 17494, 16721, 19800, 53575, 16426, 16401, 20825, 16763, 17027, 19970, 16734, 19800, 34330, 16673, 57663, 16395, 50271, 16395, 16674, 18554, 16672, 23665, 20053, 18873, 16604, 16391, 24001, 16397, 16604, 16442, 16434, 16401, 16444, 16391, 16386, 24197, 18311, 16428, 16400, 16392, 16474, 18452, 16396, 18926, 16412, 16385, 29743, 16385, 16476, 16392, 16397, 24001, 16397, 16604, 16400, 16427, 19806, 16426, 16401, 16704, 56086, 19298, 16672, 31553, 16396, 40821, 23665, 35442, 16397, 16393, 16393, 16448, 16393, 16393, 36920, 21014, 16715, 53575, 16426, 16401, 20825, 19335, 16672, 19732, 23665, 24588, 16785, 31553, 16396, 40821, 23665, 20053, 16604, 16391, 16435, 36077, 16392, 23375, 16672, 16641, 24588, 20338, 20980, 16604, 16391, 16435, 21423, 16392, 16815, 17824, 22437, 16680, 17271, 16767, 32317, 16401, 16399, 20884, 18698, 16397, 41246, 18740, 16395, 16604, 16404, 16399, 20464, 23944, 16460, 16397, 16604, 16393, 16393, 16449, 16393, 16393, 16604, 16391, 29752, 16392, 62313, 28697, 16673, 16700, 36077, 23375, 16815, 17824, 22437, 16680, 17271, 16700, 21423, 24411, 16809, 53575, 16426, 16401, 43369, 27859, 16409, 16604, 16399, 16395, 17028, 43369, 16604, 16391, 18060, 19628, 16392, 16410, 16604, 16394, 16400, 16395, 21801, 16410, 16604, 16394, 16401, 16395, 29101, 16410, 16785, 16604, 16394, 16402, 16395, 17362, 16397, 16604, 16391, 26380, 16392, 52036, 16898, 16673, 53575, 16426, 16401, 16396, 37230, 19487, 16672, 16700, 36077, 23375, 16815, 17824, 22437, 16680, 17271, 16700, 21423, 16409, 16604, 16399, 16396, 16396, 16401, 16404, 16388, 16395, 16604, 16401, 16404, 16396, 16396, 16404, 16399, 16388, 16395, 16604, 16404, 16400, 16396, 16396, 16406, 16404, 16388, 16395, 16785, 16604, 16406, 16405, 16396, 16396, 16400, 16399, 16399, 16388, 16397, 17144, 65240, 16604, 16393, 16467, 16393, 16396, 18922, 16734, 60215, 16390, 16466, 32263, 16763, 17405, 16671, 24416, 16647, 53575, 16426, 16401, 20825, 17415, 19732, 30039, 23665, 32113, 16674, 23665, 46346, 16397, 16604, 16393, 16393, 16450, 16393, 16393, 36920, 21014, 16715, 53575, 16426, 16401, 20825, 19335, 16672, 19732, 23665, 24588, 16785, 16700, 36077, 23375, 16672, 17567, 21191, 16700, 36077, 39771, 17894, 16815, 39100, 16700, 37083, 21907, 20980, 42789, 16604, 16391, 46240, 21423, 16402, 16400, 16400, 16395, 16966, 16435, 21423, 16402, 16403, 16400, 16395, 16674, 16966, 16435, 21423, 16402, 16403, 16406, 16392, 16767, 32317, 16401, 16399, 16674, 32317, 16403, 16399, 20884, 18698, 16397, 41246, 18740, 16395, 16604, 16404, 16399, 20464, 23944, 16460, 16715, 32317, 16401, 16399, 16674, 16604, 16401, 16404, 20464, 23944, 16460, 16715, 32317, 16403, 16399, 16397, 16604, 16393, 16393, 16451, 16393, 16393, 16604, 16391, 29752, 16392, 62313, 28697, 16673, 16700, 36077, 23375, 16815, 17567, 21191, 16700, 36077, 39771, 17894, 16604, 16391, 46240, 21423, 16402, 16400, 16400, 16395, 16966, 16435, 21423, 16402, 16403, 16400, 16395, 16674, 16966, 16435, 21423, 16402, 16403, 16406, 16392, 16815, 39100, 16700, 37083, 21907, 20980, 42789, 24411, 16809, 53575, 16426, 16401, 43369, 27859, 16409, 16604, 16399, 16395, 17028, 43369, 16604, 16391, 18060, 19628, 16392, 16410, 16604, 16394, 16400, 16395, 21801, 16410, 16604, 16394, 16401, 16395, 29101, 16410, 16785, 16604, 16394, 16402, 16395, 17362, 16397, 16604, 16391, 26380, 16392, 52036, 16898, 16673, 53575, 16426, 16401, 16396, 37230, 19487, 16672, 16700, 36077, 23375, 16815, 17567, 21191, 16700, 36077, 39771, 17894, 16604, 16391, 46240, 21423, 16402, 16400, 16400, 16395, 16966, 16435, 21423, 16402, 16403, 16400, 16395, 16674, 16966, 16435, 21423, 16402, 16403, 16406, 16392, 16815, 39100, 16700, 37083, 21907, 20980, 42789, 16409, 16604, 16399, 16396, 16396, 16401, 16404, 16388, 16395, 16604, 16401, 16404, 16396, 16396, 16404, 16399, 16388, 16395, 16604, 16404, 16400, 16396, 16396, 16406, 16404, 16388, 16395, 16785, 16604, 16406, 16405, 16396, 16396, 16400, 16399, 16399, 16388, 16392, 16397, 16604, 16443, 16393, 16443, 16393, 16393, 16431, 16393, 20464, 16443, 16411, 20464, 16399, 16397, 16399, 16400, 16397, 16582, 16582, 21758, 16395, 18138, 16709, 16647, 18466, 16673, 17038, 16687, 29962, 16674, 32261, 16809, 16647, 18722, 16985, 16709, 16647, 18814, 16673, 53575, 16426, 16401, 16672, 57663, 16445, 16442, 16415, 23965, 16400, 16401, 16444, 16395, 16442, 16415, 23965, 16400, 16407, 16444, 16395, 16442, 16415, 23965, 16401, 16406, 16444, 16396, 16396, 16442, 16415, 23965, 16401, 16408, 16444, 16445, 16395, 16742, 18666, 18515, 38455 ]
[ 0, 16385, 30134, 16604, 16402, 16400, 16684, 16395, 16604, 16400, 16408, 16407, 16404, 16385, 16604, 16385, 35025, 16390, 16466, 18858, 55366, 20797, 20085, 16647, 26840, 16673, 16647, 37874, 19877, 16390, 16466, 38138, 17617, 16397, 16385, 16604, 16385, 16403, 16399, 17202, 17135, 17049, 47014, 16385, 16604, 16385, 17071, 19137, 16604, 16400, 16408, 16408, 16408, 16641, 18435, 23303, 24978, 37874, 19877, 17244, 16385, 16604, 16385, 16649, 52829, 16793, 16604, 16402, 16399, 16397, 16403, 16402, 16398, 17301, 20161, 16799, 16604, 16400, 16401, 16407, 16397, 16399, 16403, 16395, 26490, 16604, 16402, 16401, 16404, 16460, 19057, 16647, 20293, 16397, 16385, 16604, 16385, 16440, 16707, 19877, 16763, 16647, 20770, 18088, 19232, 18021, 19789, 16809, 19802, 16397, 16385, 16604, 16385, 35635, 16673, 16647, 16685, 16460, 16874, 17002, 27191, 16395, 16604, 16401, 16405, 16402, 16460, 17301, 16395, 26700, 21526, 16604, 16406, 16401, 16395, 16407, 16399, 16399, 27527, 16604, 16404, 16400, 16669, 16815, 17254, 16744, 16671, 38343, 16395, 17049, 23161, 16741, 24639, 16741, 16667, 16604, 16400, 16407, 16396, 28776, 18843, 16397, 16385, 16604, 16385, 16385, 21285, 34432, 28399, 16396, 64827, 39340, 38534, 16385, 16385, 16604, 16385, 16385, 17501, 16661, 16815, 24282, 16672, 20311, 27913, 16397, 16385, 16385, 16604, 16385, 16385, 29801, 16604, 16405, 16757, 16395, 16604, 16401, 16399, 16399, 16404, 16385, 16385, 16604, 16385, 16416, 17311, 40408, 16397, 16385, 16604, 16385, 16438, 27304, 16721, 27300, 17660, 16390, 16467, 17190, 16968, 16854, 23045, 16397, 16385, 16604, 16385, 17611, 16390, 16466, 17262, 16397, 16385, 16604, 16385, 37900, 17719, 16947, 16395, 32034, 17236, 16397, 16385, 16604, 16385, 17507, 16390, 16644, 17021, 16397, 16385, 16604, 16385, 16385, 16428, 16844, 16713, 17317, 26266, 32506, 17392, 16390, 16466, 57259, 16385, 16385, 16604, 16385, 16424, 16390, 16451, 16945, 16671, 17134, 16647, 42184, 21461, 16397, 16385, 16604, 16385, 17611, 16390, 16466, 16734, 16641, 34578, 16397, 16385, 16604, 16385, 56590, 16390, 16466, 16647, 16604, 16405, 16399, 16757, 32684, 16673, 16647, 37874, 19877, 16390, 16466, 47543, 16397, 16385, 16604, 16385, 16424, 16763, 18666, 16671, 16969, 16732, 16671, 17659, 16715, 18266, 16397, 16385, 16604, 16385, 16424, 17031, 32034, 17236, 16390, 16466, 17579, 16992, 17199, 16671, 16917, 26574, 16397, 16385, 16604, 16385, 18129, 17072, 16931, 16728, 16811, 16987, 16414, 16385, 16604, 16385, 31669, 16671, 16703, 16641, 22736, 16397, 16385, 16604, 16385, 16424, 17727, 16390, 16467, 17881, 16728, 16945, 16721, 16397, 16385, 16604, 16385, 18571, 16390, 16466, 16647, 20367, 40857, 16903, 16414, 16385, 16604, 16385, 17611, 16390, 16466, 18055, 17747, 16397, 16385, 16604, 16385, 42151, 19909, 16641, 23863, 16397, 16385, 16604, 16385, 18313, 17187, 16414, 16385, 16604, 16385, 35505, 20161, 16793, 16604, 16402, 16399, 16397, 16403, 16402, 16395, 17301, 20161, 16799, 16604, 16400, 16401, 16407, 16397, 16399, 16403, 16397, 16385, 16604, 16385, 18867, 16390, 16466, 16647, 37874, 19877, 16397, 16397, 16397, 16385, 16604, 16385, 16424, 16390, 16460, 20008, 16671, 17839, 16397, 16385, 16604, 16385, 16424, 16994, 17324, 17109, 16671, 16854, 16397, 16385, 16604, 16385, 16424, 16390, 16460, 16804, 16647, 42184, 21461, 16397, 16385, 16604, 16385, 16424, 38567, 16912, 52324, 16397, 16385, 16604, 16385, 23844, 16395, 26551, 18148, 16929, 16390, 16683, 17391, 16848, 16397, 16385, 16604, 16385, 18264, 17079, 16728, 16397, 16385, 16604, 16385, 17409, 16390, 16466, 16604, 16401, 16399, 16399, 39218, 16397, 16385, 16604, 16385, 52277, 22831, 16891, 16986, 16395, 17441, 16397, 16385, 16604, 16385, 17409, 16390, 16466, 17028, 17617, 16715, 16641, 18247, 16459, 16910, 16885, 16397, 16385, 16604, 16385, 16424, 16390, 16460, 18090, 16395, 21352, 33586, 16397, 16385, 16604, 16385, 24067, 16395, 16711, 17311, 40408, 16397, 16397, 16397, 16385, 16604, 16385, 54969, 17292, 17301, 16414, 16385, 16604, 16385, 19084, 16385, 16604, 16385, 51613, 16893, 16848, 16397, 16385, 16604, 16385, 23690, 18148, 17391, 16848, 16671, 52829, 16793, 16604, 16402, 16399, 16385, 16604, 16385, 18867, 16390, 16466, 22916, 16397, 16385, 16604, 16385, 16438, 16645, 16390, 16467, 18148, 16854, 16734, 16848, 16414, 16385, 16604, 16385, 18264, 17079, 16728, 16397, 16385, 16604, 16385, 18129, 16687, 16390, 16690, 17497, 16671, 16969, 16986, 16397, 16385, 16604, 16385, 16385, 17071, 56468, 19143, 16409, 16385, 16604, 16385, 16428, 24208, 16470, 26266, 16395, 17485, 17519, 35960, 16385, 16385, 16604, 16385, 16385, 16419, 17245, 18932, 16604, 16406, 16757, 16395, 16604, 16400, 16408, 16403, 16404, 16385, 16385, 16604, 16385, 18473, 16397, 16397, 16397, 16385, 16604, 16385, 21127, 16829, 16732, 17137, 16671, 16854, 16891, 16986, 16414, 16385, 16604, 16385, 21539, 16397, 16397, 16397, 16385, 16604, 16385, 17409, 16390, 16466, 17187, 16647, 37874, 19877, 47014, 16397, 16385, 16604, 16385, 18301, 18932, 16604, 16406, 16757, 16395, 16604, 16405, 16399, 17202, 18469, 16397, 16385, 16604, 16385, 56590, 16390, 16466, 16647, 26539, 16397, 16385, 16604, 16385, 16424, 17324, 28630, 16854, 16385, 16604, 16385, 16424, 17659, 16811, 17963, 16395, 17097, 16671, 22074, 16728, 16390, 16466, 22916, 16397, 16385, 16604, 16385, 18105, 16390, 16466, 16912, 17830, 16414, 16385, 16604, 16385, 17409, 16390, 16466, 16876, 16717, 19250, 16397, 16385, 16604, 16385, 18971, 19409, 16763, 47322, 53616, 16876, 16717, 19250, 16397, 16385, 16604, 16385, 39314, 17098, 25137, 16876, 16717, 19250, 16414, 16385, 16604, 16385, 18001, 19324, 16887, 19409, 16414, 16385, 16604, 16385, 18129, 16733, 18167, 17285, 16734, 16647, 21710, 16397, 16385, 16604, 16385, 17611, 20493, 17915, 17367, 16987, 16397, 16385, 16604, 16385, 17611, 28924, 16397, 16397, 16397, 16385, 16604, 16385, 16424, 16955, 17028, 18479, 16397, 16385, 16604, 16385, 17611, 22969, 16673, 16647, 37874, 19877, 17329, 16733, 20046, 16397, 16385, 16604, 16385, 16435, 17082, 16848, 16931, 16647, 18159, 57765, 16733, 17366, 36458, 16397, 16385, 16604, 16385, 16424, 16763, 35481, 16397, 16397, 16397, 16385, 16604, 16385, 16454, 17370, 17107, 18530, 16850, 33004, 16397, 16397, 16397, 16385, 16604, 16385, 30477, 19530, 16671, 16969, 16641, 18870, 16673, 16888, 17417, 16397, 16385, 16604, 16385, 20505, 16733, 16390, 16466, 20254, 16397, 16397, 16397, 16385, 16604, 16385, 16424, 17137, 16671, 17039, 16858, 16931, 17107, 16397, 16385, 16604, 16385, 16424, 17724, 16390, 16690, 16992, 16667, 16819, 17076, 25955, 17486, 16397, 16385, 16604, 16385, 17409, 16390, 16683, 17391, 16604, 16400, 16404, 18626, 16397, 16385, 16604, 16385, 16853, 21964, 16868, 16703, 22831, 16397, 16385, 16604, 16385, 17991, 16732, 17363, 17137, 16671, 16854, 16397, 16385, 16604, 16385, 23690, 16732, 17391, 16848, 16414, 16385, 16604, 16385, 16424, 19816, 16390, 16467, 17393, 16711, 17311, 40408, 16397, 16385, 16604, 16385, 34508, 16466, 16891, 16733, 16390, 16466, 17646, 16671, 21964, 16734, 16721, 19099, 16397, 16385, 16604, 16385, 17071, 16721, 17719, 23863, 16414, 16385, 16604, 16385, 60583, 17236, 16396, 38339, 16395, 16887, 19409, 20986, 16732, 16397, 16385, 16604, 16385, 19930, 16732, 17039, 17213, 18102, 16414, 16385, 16604, 16385, 17635, 16763, 18493, 16888, 17578, 16397, 16385, 16604, 16385, 16434, 16975, 16728, 16763, 18711, 16672, 16604, 16400, 16408, 16403, 16402, 16672, 16908, 16865, 16397, 16385, 16604, 16385, 16428, 24208, 16470, 26266, 16396, 38339, 16395, 16876, 16717, 19250, 16396, 38339, 23102, 26266, 16396, 38339, 16397, 16397, 16397, 16385, 16604, 16385, 16385, 29414, 16395, 16604, 16400, 16408, 16403, 16401, 16385, 16385, 16604, 16385, 36783, 16395, 16687, 16390, 16460, 17141, 16908, 17876, 35308, 32034, 17236, 16604, 16396, 18702, 16604, 16400, 16404, 16385, 16604, 16385, 18001, 18647, 16786, 16769, 17141, 16385, 16604, 16385, 16424, 16390, 16460, 17141, 16385, 16604, 16385, 36783, 16395, 17028, 16396, 16877, 20760, 16647, 23863, 16395, 16859, 17818, 19791, 16728, 17155, 17386, 16414, 16385, 16604, 16385, 17991, 16912, 20172, 22779, 16815, 16647, 18088, 16674, 16728, 16390, 16466, 16804, 20008, 16395, 16687, 16390, 16683, 16703, 16672, 17703, 22736, 16397, 16385, 16604, 16385, 16416, 16720, 17098, 16395, 17132, 32034, 17236, 17324, 27565, 16715, 16647, 27191, 16414, 16385, 16604, 16385, 18971, 20172, 21889, 16903, 16397, 16385, 16604, 16385, 16424, 16843, 16390, 16467, 17723, 17107, 16891, 19135, 16848, 16397, 16385, 16604, 16385, 18129, 16604, 16400, 16404, 16987, 16396, 17082, 19347, 22976, 16390, 16467, 16854, 16671, 18088, 16397, 16385, 16604, 16385, 26380, 16395, 16711, 16720, 17098, 16414, 16385, 16604, 16385, 20574, 16390, 16467, 22069, 16385, 16604, 16385, 35629, 16704, 16641, 17617, 18360, 16672, 19190, 16699, 17104, 17502, 16385, 16604, 16385, 16853, 25256, 17335, 16647, 16966, 18270, 16769, 17441, 18403, 18815, 16671, 19080, 16715, 17301, 16397, 16385, 16604, 16385, 17507, 17607, 18453, 16873, 16390, 16644, 17262, 16397, 16385, 16604, 16385, 36783, 16395, 18168, 37023, 16384, 16385, 16604, 16385, 41763, 16809, 18242, 16395, 28222, 39368, 16397, 16385, 16604, 16385, 16418, 16705, 16688, 17227, 27504, 16395, 32034, 17236, 16395, 16908, 17876, 35308, 16397, 16385, 16604, 16385, 45046, 16715, 24282, 16384, 16385, 16604, 16385, 18001, 17121, 16390, 16467, 17158, 16859, 22868, 16671, 16848, 16397, 16385, 16604, 16385, 27217, 33586, 16395, 16732, 18167, 16671, 18088, 16767, 16604, 16400, 16404, 16414, 16385, 16604, 16385, 18571, 17719, 16769, 16732, 16395, 16711, 17311, 40408, 16414, 16385, 16604, 16385, 21539, 16395, 16732, 16390, 16644, 18022, 18055, 17747, 16397, 16385, 16604, 16385, 16434, 19212, 16671, 18367, 16641, 22321, 16396, 50537, 16397, 16385, 16604, 16385, 58590, 16390, 16395, 17851, 16687, 16390, 16683, 16969, 19544, 16715, 16811, 20908, 16397, 16385, 16604, 16385, 21010, 17671, 16647, 19312, 42691, 16397, 16385, 16604, 16385, 31669, 16732, 16390, 16690, 19544, 28144, 16715, 16887, 28171, 16397, 16385, 16604, 16385, 20574, 16390, 16467, 22069, 16397, 16385, 16604, 16385, 17409, 16390, 16466, 16804, 16715, 16912, 28171, 16397, 16385, 16604, 16385, 29294, 16395, 16604, 16400, 16408, 16403, 16400, 16397, 16385, 16604, 16385, 17071, 22210, 16767, 19802, 16390, 16466, 31300, 16673, 19391, 16395, 16385, 16604, 16385, 57955, 16395, 16647, 17824, 16674, 36574, 35432, 31213, 16674, 16667, 19748, 53712, 16397, 16385, 16604, 16385, 18313, 19825, 30722, 18813, 16673, 19799, 19260, 16395, 16385, 16604, 16385, 35025, 26807, 16647, 17223, 31219, 16709, 19293, 16604, 16407, 16757, 16395, 16385, 16604, 16385, 35025, 22811, 16647, 18736, 16709, 38149, 36152, 16397, 16385, 16604, 16385, 18301, 16721, 17396, 17386, 16395, 37874, 19877, 19361, 16968, 21964, 26364, 16397, 16385, 16604, 16385, 16405, 18355, 18242, 16395, 19802, 16390, 16466, 22083, 16385, 16604, 16385, 56360, 16458, 16882, 16395, 31591, 16395, 26676, 16395, 47474, 16856, 16674, 17199, 31140, 16385, 16604, 16385, 16385, 29294, 16395, 16604, 16400, 16408, 16403, 16401, 16385, 16385, 16604, 16385, 21925, 16395, 19802, 41212, 16641, 18166, 27270, 16767, 23868, 17313, 16397, 16385, 16604, 16385, 18753, 16647, 17824, 23985, 16397, 16385, 16604, 16385, 16853, 16640, 18302, 16673, 21369, 22609, 16385, 16604, 16385, 16385, 30500, 16395, 16604, 16400, 16408, 16403, 16401, 16385, 16385, 16604, 16385, 24096, 21442, 18247, 16709, 63734, 21156, 16666, 16397, 16385, 16604, 16385, 20068, 16604, 16405, 18355, 16673, 32082, 22428, 16395, 16385, 16604, 16385, 35025, 26263, 16466, 16397, 16385, 16604, 16385, 42580, 20402, 16673, 16647, 53571, 40982, 17602, 16658, 32918, 37874, 53530, 16395, 16385, 16604, 16385, 29801, 16395, 16604, 16400, 16407, 16757, 16395, 16672, 24796, 17820, 16734, 17824, 33092, 17030, 16647, 24543, 16734, 16641, 30208, 18554, 16397, 16385, 16604, 16385, 33425, 21514, 16671, 16647, 24034, 30492, 20292, 16395, 16741, 40982, 49158, 16709, 18850, 16604, 16404, 16757, 16397, 16385, 16604, 16385, 17611, 16763, 28818, 16734, 17769, 37006, 16385, 16604, 16385, 16385, 39451, 16395, 16604, 16400, 16408, 16403, 16403, 16385, 16604, 16385, 16908, 16865, 36152, 16385, 16385, 16604, 16385, 17894, 16647, 19994, 19580, 35400, 16895, 35285, 16688, 19115, 16763, 20017, 16665, 16903, 16397, 16385, 16604, 16385, 18111, 16873, 16958, 19988, 36368, 17021, 16671, 21369, 16397, 16385, 16604, 16385, 23879, 16958, 22789, 25640, 16604, 16400, 16405, 17202, 17719, 16397, 16385, 16604, 16385, 17409, 16390, 16466, 16647, 37874, 19877, 16397, 16385, 16604, 16385, 23833, 18628, 18088, 19232, 16672, 16647, 17394, 16397, 16385, 16604, 16385, 39567, 16831, 17268, 16385, 16604, 16385, 16416, 32067, 24879, 16397, 16385, 16604, 16385, 18111, 16742, 16390, 16644, 17395, 36458, 16397, 16385, 16604, 16385, 18001, 16390, 16644, 19751, 16384, 16385, 16604, 16385, 16423, 40671, 16903, 16384, 16385, 16604, 16385, 18811, 16647, 19217, 16960, 16390, 16466, 16813, 31082, 16395, 58335, 17097, 22345, 16397, 16385, 16604, 16385, 19930, 16804, 58335, 49993, 29779, 16397, 16385, 16604, 16385, 31367, 17406, 16384, 16385, 16604, 16385, 19231, 27156, 16397, 16385, 16604, 16385, 18621, 27504, 26316, 16397, 16397, 16397, 16674, 16604, 16405, 16403, 35285, 17499, 16385, 16604, 16385, 24794, 16395, 18932, 16604, 16400, 16402, 16757, 16395, 16604, 16400, 16408, 16403, 16403, 16395, 23951, 16671, 16647, 37874, 19877, 16395, 23673, 16715, 24282, 36458, 16395, 30125, 16384, 16385, 16604, 16385, 31367, 17406, 16384, 16385, 16604, 16385, 32202, 16809, 16715, 37595, 16397, 16385, 16604, 16385, 62142, 31091, 16409, 16385, 16604, 16385, 18621, 27504, 26316, 16397, 16397, 16397, 16385, 16604, 16385, 18621, 27504, 25040, 16930, 16397, 16397, 16397, 16385, 16604, 16385, 18301, 16647, 20639, 16384, 16385, 16604, 16385, 47058, 16396, 16416, 23830, 27655, 16409, 16385, 16604, 16385, 18621, 27504, 32034, 17236, 16397, 16397, 16397, 16385, 16604, 16385, 18621, 27504, 53434, 16698, 22050, 16397, 16397, 16397, 16385, 16604, 16385, 18621, 27504, 29699, 65203, 16397, 16397, 16397, 16385, 16604, 16385, 28261, 16396, 52641, 31791, 16396, 16416, 23830, 52202, 16409, 16385, 16604, 16385, 18621, 27504, 16793, 39706, 16397, 16397, 16397, 16385, 16604, 16385, 18621, 27504, 42786, 18017, 16397, 16397, 16397, 16385, 16604, 16385, 18621, 27504, 16773, 16893, 16397, 16397, 16397, 16385, 16604, 16385, 18301, 16647, 20639 ]
[ 0, 38194, 16604, 16474, 16386, 16466, 16400, 16476, 16582, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16582, 16582, 16435, 38078, 46614, 16604, 16391, 39147, 16392, 16704, 21099, 16809, 16647, 19007, 31018, 20969, 16395, 16604, 16393, 18971, 54446, 52856, 52408, 16604, 16391, 16428, 46810, 16392, 16393, 16410, 18226, 16734, 18206, 24813, 17197, 59604, 23878, 16604, 16391, 16423, 20137, 16398, 48254, 16392, 24493, 16395, 36439, 16704, 18493, 16647, 17154, 39249, 16674, 22660, 16673, 16647, 38598, 24720, 24278, 16397, 16875, 16604, 16401, 16399, 16400, 16408, 16395, 16667, 23381, 16604, 16400, 16399, 18115, 17047, 20140, 20432, 52408, 16672, 24426, 16734, 16604, 16400, 16397, 16405, 18115, 25074, 16604, 16391, 16442, 16415, 16417, 16400, 16444, 16392, 16397, 16875, 22302, 16734, 16604, 16393, 16428, 46810, 16393, 40856, 16667, 26709, 19208, 16395, 18919, 16604, 16393, 16428, 46810, 16393, 16843, 25540, 16674, 17874, 16809, 64151, 16661, 16647, 19037, 26709, 25939, 16397, 18483, 16673, 16647, 54098, 24319, 16673, 16647, 20426, 24493, 16734, 16604, 16393, 16428, 46810, 16393, 16704, 16647, 24261, 16673, 30083, 16748, 16838, 16395, 16944, 16769, 25095, 31395, 23820, 16721, 18379, 16641, 20710, 16673, 48191, 16674, 40769, 26709, 19487, 16721, 21258, 16647, 16604, 16393, 16428, 46810, 16393, 16396, 54993, 17211, 16750, 34784, 16604, 16391, 16442, 16415, 16417, 16401, 16444, 16396, 16396, 16442, 16415, 16417, 16404, 16444, 16392, 16397, 22191, 16647, 24261, 16673, 30083, 16748, 16838, 16395, 47582, 19037, 16396, 16393, 16428, 46810, 16393, 26459, 19947, 16767, 16647, 38598, 18758, 16674, 16811, 54624, 16843, 24660, 19001, 19037, 26709, 24739, 16395, 16944, 24037, 19650, 16604, 16393, 16428, 46810, 16393, 40598, 16809, 17213, 19258, 16397, 22483, 16604, 16393, 16428, 46810, 16393, 35142, 16647, 19037, 16395, 17073, 18155, 19819, 22539, 16674, 26513, 16769, 27024, 16809, 62478, 16396, 19064, 39043, 16604, 16391, 30468, 44215, 16392, 16395, 24203, 16809, 16700, 34028, 16401, 16674, 16700, 34028, 16403, 16397, 16604, 16393, 16428, 46810, 16393, 16704, 60942, 16665, 16809, 20005, 17211, 16750, 25908, 19828, 19487, 17274, 16741, 16641, 46351, 16898, 16395, 57593, 56794, 18155, 16604, 16391, 27197, 16392, 16395, 16785, 65293, 16724, 16395, 16674, 21083, 30227, 17065, 16647, 17242, 34117, 17840, 22126, 22257, 16809, 16647, 34951, 16673, 16647, 17211, 16750, 52453, 16674, 46803, 52453, 16671, 18725, 16647, 17211, 16750, 19465, 16466, 52453, 16395, 18919, 16604, 16393, 16428, 46810, 16393, 16704, 17914, 16671, 41937, 16647, 17291, 25908, 19828, 31133, 16809, 17237, 29701, 34951, 16673, 16647, 17211, 16750, 52453, 23858, 16647, 28336, 16734, 46803, 53127, 16397, 16875, 39288, 53318, 24903, 20658, 16674, 19578, 17490, 36612, 16674, 58130, 24507, 16674, 31184, 16395, 17789, 17361, 16677, 18436, 16642, 16604, 16391, 19892, 16392, 16396, 16400, 28580, 16395, 27021, 16396, 16405, 16395, 27021, 16396, 16400, 16401, 16395, 27242, 47778, 38981, 21348, 16604, 16391, 16435, 33573, 16392, 16395, 24722, 41824, 27617, 17404, 36007, 47729, 16954, 16398, 41592, 17404, 36007, 47729, 16954, 16604, 16401, 16604, 16391, 16456, 16429, 19445, 16398, 16429, 19445, 16401, 16392, 16395, 16674, 20561, 16847, 17462, 16944, 39224, 17490, 16647, 48191, 16674, 40769, 26709, 19258, 16397, 39173, 16895, 26709, 19487, 16783, 23897, 31769, 31184, 16671, 16647, 56293, 18692, 16671, 23129, 33976, 16673, 16977, 26709, 19487, 16671, 17510, 16641, 30083, 16748, 20740, 16604, 16391, 16442, 16415, 16417, 16403, 16444, 16395, 16604, 16442, 16415, 16417, 16405, 16444, 16392, 16397, 42566, 16395, 58029, 26513, 23078, 16809, 16604, 16393, 16428, 46810, 16393, 21071, 16671, 41388, 16647, 24261, 16673, 17211, 16750, 19465, 16466, 52453, 16395, 16647, 48619, 17073, 25341, 16674, 36793, 17989, 53318, 16397, 17544, 31022, 31972, 28568, 20474, 17560, 16604, 16393, 16428, 46810, 16393, 24493, 16395, 16604, 16393, 16428, 46810, 16393, 17027, 45856, 17283, 16647, 19378, 16673, 31769, 20671, 16721, 23129, 17073, 25341, 17789, 20381, 16396, 42436, 35853, 18619, 17274, 16741, 27021, 16396, 16403, 16395, 27021, 16396, 16400, 16399, 16395, 27021, 16396, 16400, 16402, 16395, 16674, 41261, 19134, 21348, 33349, 16604, 16391, 16435, 29874, 16396, 28580, 16392, 16604, 16391, 16442, 16415, 16417, 16406, 16444, 16396, 16396, 16442, 16415, 16417, 16408, 16444, 16392, 16674, 18295, 18206, 36439, 19831, 17299, 16721, 17213, 20671, 16872, 16992, 19628, 16671, 16703, 19800, 16672, 16647, 20432, 36439, 18873, 16604, 16391, 16442, 16415, 16417, 16400, 16399, 16444, 16395, 16604, 16442, 16415, 16417, 16400, 16400, 16444, 16392, 16397, 18708, 24813, 16786, 18281, 22972, 20671, 17156, 18474, 24128, 16672, 24727, 20176, 16647, 26709, 21859, 16671, 16604, 16393, 16428, 46810, 16393, 16604, 16391, 16442, 16415, 16417, 16400, 16401, 16444, 16395, 16604, 16442, 16415, 16417, 16400, 16402, 16444, 16392, 16397, 16604, 16393, 16428, 46810, 16393, 16868, 42968, 16674, 43749, 16758, 19007, 54403, 35280, 54983, 17989, 16647, 30083, 16748, 16838, 16410, 16811, 16868, 24037, 17539, 16672, 31462, 16673, 20062, 16674, 56492, 16671, 16647, 16977, 28825, 16604, 16391, 16442, 16415, 16417, 16404, 16444, 16395, 16604, 16442, 16415, 16417, 16400, 16403, 16444, 16392, 16397, 17376, 16641, 18166, 18314, 16673, 16811, 20062, 17650, 16395, 16887, 54446, 31848, 30083, 16748, 16838, 16807, 16992, 16647, 18910, 16673, 25794, 38649, 23693, 21882, 16709, 27287, 16673, 24261, 16395, 17917, 16395, 24316, 16395, 16674, 23777, 16397, 16582, 16582, 39740, 16395, 16986, 16872, 16992, 16667, 20209, 32335, 16673, 16647, 17889, 18774, 16721, 23496, 17415, 22009, 36481, 16674, 26709, 18155, 17917, 16397, 21166, 48244, 24283, 17453, 19509, 16672, 26709, 19487, 16395, 16641, 29698, 18365, 16741, 24813, 21149, 46210, 17502, 16395, 26767, 16709, 19857, 31395, 22072, 16721, 16769, 22009, 16715, 16647, 26709, 19208, 16397, 22191, 36439, 24493, 16395, 19037, 19487, 35269, 29987, 37067, 17928, 16395, 16944, 18466, 16672, 33868, 18123, 16673, 19001, 55157, 16674, 20561, 16847, 17462, 19970, 16734, 33167, 16395, 38759, 16395, 38455, 16395, 16674, 31462, 16673, 16604, 16393, 16428, 46810, 16393, 24493, 16604, 16391, 16442, 16415, 16417, 16400, 16404, 16444, 16395, 16604, 16442, 16415, 16417, 16400, 16405, 16444, 16392, 16397, 38403, 16395, 16641, 23247, 16672, 16647, 17231, 16673, 33582, 27497, 32714, 16674, 43212, 36481, 16843, 16703, 16667, 17889, 20732, 16715, 38764, 19037, 18155, 17917, 16671, 23129, 16887, 54446, 31848, 25341, 16734, 16647, 30083, 16748, 16838, 16604, 16391, 16442, 16415, 16417, 16400, 16406, 16444, 16392, 16397, 18073, 17616, 61631, 16395, 19487, 16672, 16604, 16385, 17346, 16661, 16385, 20249, 33699, 49106, 50485, 16604, 16391, 57824, 29049, 19445, 16392, 16671, 21182, 42560, 16815, 62295, 16423, 16674, 16773, 19240, 16423, 16401, 16809, 46060, 20558, 16673, 28371, 17112, 16674, 41893, 16397, 45382, 22484, 22088, 16815, 16830, 16439, 29049, 19445, 16671, 29921, 17435, 47424, 16672, 17970, 16671, 24339, 42560, 17131, 27312, 16396, 24199, 27917, 16785, 21830, 43542, 19527, 16604, 16391, 16442, 16415, 16417, 16400, 16407, 16444, 16392, 16397, 33465, 16395, 29921, 17435, 47424, 16704, 17736, 17510, 16673, 36481, 16672, 26709, 19487, 16721, 23129, 16647, 36612, 19208, 16672, 16647, 26709, 17434, 16397, 17170, 28536, 16396, 16396, 21484, 26709, 19487, 33699, 29921, 17435, 47424, 17199, 16672, 16647, 21057, 16673, 29258, 29879, 16673, 27312, 16604, 16391, 16456, 16397, 16452, 16397, 16395, 26566, 32534, 29921, 17435, 47424, 16392, 16396, 16396, 16704, 18365, 16741, 16647, 16604, 16385, 29203, 20455, 17717, 16397, 16385, 17999, 19346, 16395, 16647, 18858, 20455, 17717, 16872, 16992, 33114, 24203, 16734, 18577, 16671, 20053, 36481, 16397, 21604, 26566, 32534, 29921, 17435, 47424, 36545, 26216, 42560, 31184, 16972, 23093, 17032, 17257, 16830, 16439, 29049, 19445, 16395, 16811, 31133, 16704, 23557, 16673, 22355, 21661, 16673, 42560, 19062, 16809, 26709, 19487, 16397, 27903, 16395, 26566, 32534, 29921, 17435, 47424, 21384, 16641, 17679, 16673, 18462, 17036, 30583, 17035, 16395, 17789, 21142, 61359, 16395, 34226, 32245, 16395, 16674, 29981, 18145, 16604, 16391, 16442, 16415, 16417, 16400, 16408, 16444, 16392, 16397, 20919, 37067, 24283, 17453, 19509, 16704, 22009, 16715, 26709, 18155, 17917, 16395, 19831, 16721, 22597, 16811, 29698, 16672, 17027, 18288, 17009, 25412, 17065, 16647, 18774, 17415, 19037, 26709, 19487, 16674, 24493, 16734, 16604, 16393, 16428, 46810, 16393, 16397, 26713, 16395, 19049, 16656, 48347, 20671, 16715, 36439, 16395, 17789, 26600, 16395, 16674, 26214, 17027, 19359, 16671, 24813, 21149, 46210, 17502, 17647, 36439, 54624, 28301, 16397, 43222, 54008, 34282, 16604, 16391, 33021, 16392, 16704, 16641, 23693, 38457, 21348, 16715, 32764, 20432, 36439, 16604, 16391, 16442, 16415, 16417, 16401, 16399, 16444, 16396, 16396, 16442, 16415, 16417, 16401, 16401, 16444, 16392, 16397, 16875, 30219, 16395, 48191, 26709, 19487, 35269, 29304, 16715, 33083, 55157, 16395, 35720, 65293, 19952, 16395, 16903, 18326, 21663, 16700, 18155, 29304, 16674, 44981, 24702, 16604, 16391, 16442, 16415, 16417, 16401, 16402, 16444, 16395, 16604, 16442, 16415, 16417, 16401, 16403, 16444, 16392, 16397, 21166, 46210, 17502, 16673, 30219, 16704, 29781, 16809, 20209, 32714, 19378, 16674, 34237, 16661, 32714, 43956, 16397, 43962, 16673, 32714, 17333, 40887, 16674, 29921, 17435, 16697, 19828, 40665, 16704, 32718, 16672, 30219, 16604, 16391, 16442, 16415, 16417, 16401, 16404, 16444, 16392, 16397, 16875, 30219, 16395, 19568, 32714, 17743, 19800, 27021, 16396, 16400, 16399, 19378, 16395, 39859, 46351, 16898, 17211, 16750, 25908, 19828, 19629, 16715, 27497, 17607, 18114, 36854, 16715, 25341, 16674, 36793, 16673, 36439, 16604, 16391, 16442, 16415, 16417, 16401, 16405, 16444, 16395, 16604, 16442, 16415, 16417, 16401, 16406, 16444, 16392, 16397, 27903, 16395, 26214, 16704, 17027, 16977, 54624, 16671, 16703, 19970, 16734, 54624, 28301, 16673, 36439, 16604, 16391, 16442, 16415, 16417, 16401, 16407, 16444, 16396, 16396, 16442, 16415, 16417, 16402, 16399, 16444, 16392, 16397, 16875, 26214, 16396, 16400, 16396, 54993, 20618, 21305, 16403, 16445, 16394, 16445, 16700, 19487, 16395, 29921, 17435, 16697, 19828, 36481, 16704, 29983, 16734, 17362, 16764, 16396, 42436, 19208, 16674, 19800, 19378, 16673, 23878, 16604, 16391, 16442, 16415, 16417, 16402, 16400, 16444, 16395, 16604, 16442, 16415, 16417, 16402, 16401, 16444, 16392, 16397, 42566, 16395, 29921, 17435, 16697, 19828, 36481, 16704, 33910, 16809, 26214, 16396, 16400, 24493, 16672, 46351, 16898, 41560, 16895, 18858, 20455, 19938, 16604, 16391, 16442, 16415, 16417, 16402, 16402, 16444, 16392, 16397, 18708, 20671, 23129, 16647, 29304, 16673, 36439, 16809, 24283, 17453, 19509, 16647, 36481, 16397, 16582, 16582, 16416, 20710, 16673, 38419, 16807, 16992, 22204, 16715, 27497, 43965, 18866, 16673, 16604, 16393, 16428, 46810, 16393, 24493, 16395, 17789, 16604, 16405, 16396, 16396, 16408, 18355, 22901, 16673, 16704, 27238, 16473, 16699, 16395, 29599, 17113, 16675, 16642, 16395, 20926, 18559, 16698, 16723, 16395, 16674, 26048, 29011, 16642, 41968, 16397, 18523, 16395, 16647, 40510, 16673, 18180, 16699, 24599, 16396, 44612, 36439, 16604, 16391, 16428, 24087, 16396, 39147, 16392, 16785, 37079, 20632, 16396, 44612, 36439, 16604, 16391, 16439, 24087, 16396, 39147, 16392, 16872, 18222, 16641, 18166, 20929, 20815, 33299, 20176, 27204, 16674, 16715, 43965, 18866, 16673, 16811, 20062, 16604, 16391, 16442, 16415, 16417, 16402, 16403, 16444, 16395, 16604, 16442, 16415, 16417, 16402, 16404, 16444, 16392, 16397, 27385, 16647, 25054, 16671, 16811, 20929, 16395, 19037, 16396, 49586, 22595, 16604, 16391, 26997, 16435, 16392, 16872, 16992, 22204, 16741, 16641, 18238, 16671, 38258, 28159, 16674, 16671, 26512, 17940, 16647, 29151, 16673, 17788, 27204, 17405, 16715, 36439, 16604, 16391, 16442, 16415, 16417, 16402, 16405, 16444, 16392, 16397, 16711, 18271, 20287, 16673, 16647, 27732, 26459, 17415, 19037, 18155, 36481, 16674, 45730, 17366, 16671, 16604, 16393, 16428, 46810, 16393, 17123, 18288, 17009, 23575, 16671, 24796, 24493, 16397, 20195, 16742, 18603, 16647, 17788, 20287, 16673, 16647, 37067, 18774, 17415, 16647, 19037, 16674, 16647, 16604, 16393, 16428, 46810, 16393, 54624, 16397, 17119, 17027, 18510, 18295, 17009, 23575, 16721, 17123, 24187, 19037, 37067, 33582, 16674, 28065, 23129, 31769, 58130, 22072, 16672, 16647, 20989, 16673, 36439, 24493, 16397, 16582, 16582, 25449, 48244, 18203, 16689, 17453, 19509, 16672, 36439, 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, 16412, 16412, 16412, 16412, 16412, 16582, 16582, 29203, 20455, 27144, 16672, 28166, 17951, 45382, 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, 16582, 16582, 40707, 17951, 19487, 18288, 20927, 21747, 16674, 19834, 17616, 61631, 16672, 16647, 60922, 19037, 16397, 17664, 16769, 19333, 17259, 19831, 16721, 18510, 16721, 16647, 22072, 16673, 26709, 19487, 16769, 23971, 62544, 16709, 18462, 22797, 16673, 19037, 36481, 16397, 18708, 19831, 16395, 16944, 16807, 23540, 16641, 18676, 18365, 16741, 24813, 21149, 46210, 17502, 16395, 16807, 19194, 16907, 16715, 16641, 17009, 18314, 16715, 20287, 17072, 16674, 17818, 26709, 19487, 18622, 16785, 42968, 16672, 16641, 18462, 37067, 17731, 16672, 17970, 16671, 17564, 16785, 17815, 25201, 19029, 16397, 30419, 18961, 20369, 18510, 16721, 17476, 37067, 40605, 16807, 16641, 17815, 19032, 16709, 18462, 17717, 16658, 22072, 30483, 16673, 16647, 48191, 16674, 40769, 26709, 19258, 16604, 16391, 16442, 16415, 16417, 16402, 16406, 16444, 16392, 16397, 17376, 17274, 16395, 18493, 16647, 20618, 22072, 16673, 26709, 19487, 16395, 16986, 16769, 17310, 16721, 24339, 16667, 36612, 19208, 16395, 21330, 22484, 36216, 16809, 16727, 16400, 16396, 57094, 17521, 53318, 16395, 23675, 16466, 16395, 65293, 19952, 16395, 16674, 17717, 16658, 16700, 19487, 16395, 16674, 17310, 16721, 23129, 16667, 20381, 16396, 36612, 19208, 16395, 16944, 18379, 16727 ]
[ 0, 16411, 16414, 27702, 19288, 16412, 16385, 16400, 16397, 16399, 16385, 36143, 16412, 16385, 43898, 16396, 16407, 16385, 16414, 16413, 16582, 16411, 42347, 16413, 16582, 16696, 16411, 16384, 16396, 16396, 23778, 52346, 16604, 16396, 16396, 16413, 16582, 16696, 16411, 20108, 17830, 16412, 16385, 17258, 18455, 16385, 16413, 51253, 16606, 37242, 16411, 16398, 20108, 16413, 16582, 16696, 16411, 20108, 17830, 16412, 16385, 42260, 16385, 16413, 65210, 43906, 16490, 16411, 16398, 20108, 16413, 16582, 16696, 16411, 20108, 17830, 16412, 16385, 36677, 16817, 16385, 16413, 46040, 54261, 16411, 16398, 20108, 16413, 16582, 16696, 16411, 20108, 17830, 16412, 16385, 27008, 20200, 16385, 16413, 59930, 53640, 16411, 16398, 20108, 16413, 16582, 16696, 16411, 20108, 17830, 16412, 16385, 64397, 16446, 19502, 16385, 16413, 21549, 16411, 16398, 20108, 16413, 16582, 16696, 16411, 20108, 17830, 16412, 16385, 24953, 16385, 16413, 16546, 16622, 16634, 24343, 16617, 16411, 16398, 20108, 16413, 16582, 16696, 16411, 20108, 17830, 16412, 16385, 19583, 21436, 16385, 16413, 42269, 45996, 16411, 16398, 20108, 16413, 16582, 16696, 16411, 20108, 17830, 16412, 16385, 27550, 16385, 16413, 29579, 16487, 41150, 16411, 16398, 20108, 16413, 16582, 16696, 16411, 20108, 17830, 16412, 16385, 19355, 16446, 19502, 16446, 16825, 33991, 16385, 16413, 58201, 49253, 28198, 22289, 25213, 16604, 24343, 16613, 35600, 51116, 27151, 16498, 45525, 23174, 57218, 16604, 22289, 44263, 22614, 16627, 57226, 34156, 19411, 16411, 16398, 20108, 16413, 16582, 16696, 16411, 16384, 16396, 16396, 22723, 20696, 16604, 16396, 16396, 16413, 16582, 16696, 16411, 20108, 17830, 16412, 16385, 24691, 16446, 42874, 16385, 16413, 37037, 16411, 16398, 20108, 16413, 16582, 16696, 16411, 20108, 17830, 16412, 16385, 16934, 28289, 16385, 16413, 49127, 26301, 16500, 16411, 16398, 20108, 16413, 16582, 16696, 16411, 20108, 17830, 16412, 16385, 16934, 28289, 16446, 26449, 16385, 16413, 32433, 16604, 16388, 16451, 16604, 49127, 16411, 16398, 20108, 16413, 16582, 16696, 16411, 20108, 17830, 16412, 16385, 16934, 60205, 16385, 16413, 49127, 26301, 16500, 16411, 16398, 20108, 16413, 16582, 16696, 16411, 20108, 17830, 16412, 16385, 26053, 16385, 16413, 22788, 16480, 16411, 16398, 20108, 16413, 16582, 16696, 16411, 20108, 17830, 16412, 16385, 26053, 16446, 26449, 16385, 16413, 32433, 16604, 16388, 16451, 16604, 22788, 16480, 16411, 16398, 20108, 16413, 16582, 16696, 16411, 20108, 17830, 16412, 16385, 33912, 26053, 16385, 16413, 40539, 49127, 16411, 16398, 20108, 16413, 16582, 16696, 16411, 20108, 17830, 16412, 16385, 22178, 17017, 16385, 16413, 33902, 16627, 33660, 16411, 16398, 20108, 16413, 16582, 16696, 16411, 16384, 16396, 16396, 19390, 41109, 16604, 16396, 16396, 16413, 16582, 16696, 16411, 20108, 17830, 16412, 16385, 29914, 16446, 18516, 17481, 16385, 16413, 16547, 16492, 16478, 21997, 16617, 16411, 16398, 20108, 16413, 16582, 16696, 16411, 20108, 17830, 16412, 16385, 29914, 16446, 21428, 16646, 16385, 16413, 35002, 16491, 53194, 38238, 59777, 16411, 16398, 20108, 16413, 16582, 16696, 16411, 20108, 17830, 16412, 16385, 29914, 16446, 24481, 16385, 16413, 54261, 49127, 22707, 16628, 26864, 16613, 16411, 16398, 20108, 16413, 16582, 16696, 16411, 20108, 17830, 16412, 16385, 29914, 16446, 32555, 16446, 35389, 16385, 16413, 57226, 39498, 43533, 34654, 16611, 16411, 16398, 20108, 16413, 16582, 16696, 16411, 16384, 16396, 16396, 52744, 16604, 16396, 16396, 16413, 16582, 16696, 16411, 20108, 17830, 16412, 16385, 25339, 16385, 16413, 65210, 63580, 16411, 16398, 20108, 16413, 16582, 16696, 16411, 20108, 17830, 16412, 16385, 20129, 26173, 16385, 16413, 45345, 51903, 16610, 16411, 16398, 20108, 16413, 16582, 16696, 16411, 20108, 17830, 16412, 16385, 31199, 16446, 44979, 16385, 16413, 47451, 16494, 44534, 36325, 43533, 34654, 16611, 37242, 16411, 16398, 20108, 16413, 16582, 16696, 16411, 20108, 17830, 16412, 16385, 18574, 16446, 26971, 16446, 16828, 16385, 16413, 35002, 16491, 53194, 38955, 30865, 16411, 16398, 20108, 16413, 16582, 16696, 16411, 20108, 17830, 16412, 16385, 24225, 16446, 24953, 16385, 16413, 52700, 34654, 16607, 16546, 16622, 16634, 24343, 16617, 16411, 16398, 20108, 16413, 16582, 16696, 16411, 20108, 17830, 16412, 16385, 18341, 16446, 16928, 16446, 16455, 28470, 23865, 16385, 16413, 34156, 47056, 16636, 56516, 35115, 16548, 16636, 16479, 20460, 16627, 16411, 16398, 20108, 16413, 16582, 16696, 16411, 20108, 17830, 16412, 16385, 18574, 16446, 23141, 16385, 16413, 37441, 44937, 16637, 16411, 16398, 20108, 16413, 16582, 16696, 16411, 20108, 17830, 16412, 16385, 45158, 16446, 17392, 17319, 16385, 16413, 38148, 38738, 34042, 26133, 16482, 16411, 16398, 20108, 16413, 16582, 16696, 16411, 20108, 17830, 16412, 16385, 45158, 16446, 16770, 16446, 25546, 16385, 16413, 34042, 26133, 16482, 16604, 16389, 17113, 16410, 16604, 32216, 57226, 34156, 16411, 16398, 20108, 16413, 16582, 16696, 16411, 20108, 17830, 16412, 16385, 45158, 16446, 16770, 16446, 46733, 16446, 16828, 16385, 16413, 34042, 26133, 16482, 16389, 17113, 16410, 16604, 47478, 35399, 43360, 16615, 16411, 16398, 20108, 16413, 16582, 16696, 16411, 20108, 17830, 16412, 16385, 18574, 16446, 17195, 16446, 18700, 16385, 16413, 41699, 16634, 25959, 16615, 16411, 16398, 20108, 16413, 16582, 16696, 16411, 20108, 17830, 16412, 16385, 18574, 16446, 21851, 16385, 16413, 24620, 16785, 21593, 16411, 16398, 20108, 16413, 16582, 16696, 16411, 16384, 16396, 16396, 28461, 16604, 16396, 16396, 16413, 16582, 16696, 16411, 20108, 17830, 16412, 16385, 25339, 16446, 24953, 16446, 37522, 16385, 16413, 65210, 63580, 16546, 16622, 16634, 24343, 16617, 46224, 50114, 16610, 16411, 16398, 20108, 16413, 16582, 16696, 16411, 20108, 17830, 16412, 16385, 24953, 16446, 16455, 16974, 16385, 16413, 16546, 16622, 16634, 24343, 16617, 49127, 26301, 16500, 16411, 16398, 20108, 16413, 16582, 16696, 16411, 16384, 16396, 16396, 38396, 24111, 16604, 16396, 16396, 16413, 16582, 16696, 16411, 20108, 17830, 16412, 16385, 47435, 16385, 16413, 26167, 16494, 57226, 34156, 45525, 38042, 34156, 49253, 28198, 19411, 16411, 16398, 20108, 16413, 16582, 16696, 16411, 20108, 17830, 16412, 16385, 47435, 16446, 42874, 16385, 16413, 37037, 16411, 16398, 20108, 16413, 16582, 16696, 16411, 20108, 17830, 16412, 16385, 29810, 17160, 16385, 16413, 55971, 16411, 16398, 20108, 16413, 16582, 16696, 16411, 20108, 17830, 16412, 16385, 45924, 16385, 16413, 35600, 41150, 16411, 16398, 20108, 16413, 16582, 16696, 16411, 20108, 17830, 16412, 16385, 18700, 17583, 16385, 16413, 42778, 53439, 45525, 52700, 41571, 37665, 65333, 32974, 58628, 33902, 16483, 25911, 45760, 19411, 16411, 16398, 20108, 16413, 16582, 16696, 16411, 20108, 17830, 16412, 16385, 17550, 16446, 18060, 16446, 34469, 16385, 16413, 30831, 16624, 32121, 16546, 16613, 16615, 30939, 58920, 39773, 42329, 33547, 52191, 16627, 38561, 58201, 52908, 16606, 34811, 16608, 16411, 16398, 20108, 16413, 16582, 16696, 16411, 20108, 17830, 16412, 16385, 31736, 16446, 28085, 16385, 16413, 21997, 16606, 16549, 16502, 16504, 37252, 39181, 45355, 30831, 16624, 32121, 27889, 16637, 16604, 27889, 16607, 43839, 16636, 50639, 16616, 33547, 28999, 33902, 16483, 25911, 45760, 19411, 16411, 16398, 20108, 16413, 16582, 16696, 16411, 20108, 17830, 16412, 16385, 43312, 16446, 18449, 16385, 16413, 55971, 36785, 63412, 49681, 64579, 62359, 19411, 16411, 16398, 20108, 16413, 16582, 16696, 16411, 20108, 17830, 16412, 16385, 16644, 35578, 16446, 23212, 16385, 16413, 65364, 16629, 33902, 16483, 28999, 42269, 45996, 26153, 45625, 16631, 21997, 16505, 37665, 65333, 32974, 41020, 34156, 47863, 36102, 16635, 16546, 16613, 16615, 30939, 63589, 44405, 16479, 24520, 16486, 45625, 16631, 21997, 16505, 19411, 16411, 16398, 20108, 16413, 16582, 16696, 16411, 20108, 17830, 16412, 16385, 22610, 16446, 18449, 16446, 55647, 16385, 16413, 55971, 36785, 59598, 63580, 51253, 16606, 37242, 16388, 16466, 19411, 45524, 16617, 36702, 16619, 32974, 58628, 33902, 16483, 19411, 16411, 16398, 20108, 16413, 16582, 16696, 16411, 20108, 17830, 16412, 16385, 22610, 16446, 49241, 16385, 16413, 21351, 16493, 26301, 16629, 57396, 16388, 16466, 16411, 16398, 20108, 16413, 16582, 16696, 16411, 20108, 17830, 16412, 16385, 32318, 16446, 16928, 16446, 30330, 20306, 16385, 16413, 26167, 16494, 16548, 16481, 16613, 59402, 56516, 29440, 16487, 37642, 16504, 16547, 16492, 16507, 16411, 16398, 20108, 16413, 16582, 16696, 16411, 16384, 16396, 16396, 52773, 16604, 16396, 16396, 16413, 16582, 16696, 16411, 20108, 17830, 16412, 16385, 37013, 16385, 16413, 33660, 20599, 16488, 16411, 16398, 20108, 16413, 16582, 16696, 16411, 20108, 17830, 16412, 16385, 37013, 16446, 24691, 16385, 16413, 33660, 20599, 16488, 51253, 16606, 37242, 16411, 16398, 20108, 16413, 16582, 16696, 16411, 20108, 17830, 16412, 16385, 37013, 16446, 16934, 28289, 16385, 16413, 33660, 20599, 16488, 58201, 49127, 16411, 16398, 20108, 16413, 16582, 16696, 16411, 20108, 17830, 16412, 16385, 37013, 16446, 54326, 16385, 16413, 33660, 20599, 16488, 46040, 54261, 16411, 16398, 20108, 16413, 16582, 16696, 16411, 20108, 17830, 16412, 16385, 18341, 16928, 58980, 16385, 16413, 34156, 47056, 16636, 56516, 29704, 34497, 29001, 16612, 16411, 16398, 20108, 16413, 16582, 16696, 16411, 20108, 17830, 16412, 16385, 18341, 16928, 58980, 16446, 49241, 16385, 16413, 55971, 36785, 45887, 37206, 29704, 34497, 29001, 16612, 34497, 48192, 19411, 16411, 16398, 20108, 16413, 16582, 16696, 16411, 20108, 17830, 16412, 16385, 42085, 16385, 16413, 42778, 50057, 16411, 16398, 20108, 16413, 16582, 16696, 16411, 16384, 16396, 16396, 24541, 16604, 16396, 16396, 16413, 16582, 16696, 16411, 20108, 17830, 16412, 16385, 36900, 16385, 16413, 33902, 16627, 45524, 16628, 16411, 16398, 20108, 16413, 16582, 16696, 16411, 20108, 17830, 16412, 16385, 17258, 16833, 16446, 16455, 16974, 16385, 16413, 43360, 16500, 36618, 33902, 16627, 45524, 16628, 16391, 52887, 45395, 37665, 62283, 52016, 47987, 33547, 29815, 16392, 16411, 16398, 20108, 16413, 16582, 16696, 16411, 20108, 17830, 16412, 16385, 17258, 16833, 16446, 43414, 16385, 16413, 22614, 16638, 22289, 33902, 16627, 45524, 16628, 35600, 24826, 16497, 21955, 16614, 27657, 16621, 29440, 16613, 16604, 27889, 16607, 16411, 16398, 20108, 16413, 16582, 16696, 16411, 20108, 17830, 16412, 16385, 18574, 16446, 21428, 16385, 16413, 62309, 62419, 16411, 16398, 20108, 16413, 16582, 16696, 16411, 20108, 17830, 16412, 16385, 17110, 21530, 21761, 16385, 16413, 37052, 16483, 32110, 16616, 40901, 16612, 28500, 16499, 16411, 16398, 20108, 16413, 16582, 16696, 16411, 20108, 17830, 16412, 16385, 19355, 16446, 17258, 22790, 16385, 16413, 31743, 39032, 32433, 25911, 52016, 30250, 16631, 51813, 35254, 16411, 16398, 20108, 16413, 16582, 16696, 16411, 20108, 17830, 16412, 16385, 51033, 16385, 16413, 41020, 34156, 26301, 16496, 38561, 16411, 16398, 20108, 16413, 16582, 16696, 16411, 16938, 16713, 17229, 17830, 16412, 16385, 50079, 16817, 16446, 16938, 17710, 16385, 16413, 16582, 16696, 16696, 16411, 20153, 30421, 16412, 16385, 17252, 16385, 16413, 16388, 16451, 16604, 40190, 27657, 16612, 16411, 16398, 20153, 16413, 16582, 16696, 16411, 16398, 16938, 16713, 17229, 16413, 16582, 16696, 16411, 16384, 16396, 16396, 21166, 26200, 16604, 16396, 16396, 16413, 16582, 16696, 16411, 20108, 17830, 16412, 16385, 16934, 28289, 16446, 26449, 16446, 56104, 16385, 16413, 54070, 16411, 16398, 20108, 16413, 16582, 16696, 16411, 20108, 17830, 16412, 16385, 16934, 28289, 16446, 24152, 32061, 16385, 16413, 46216, 16639, 29720, 23630, 41192, 16411, 16398, 20108, 16413, 16582, 16696, 16411, 20108, 17830, 16412, 16385, 16934, 28289, 16446, 24152, 32061, 16446, 45924, 16385, 16413, 46216, 16639, 29720, 23630, 41192, 35600, 41150, 16411, 16398, 20108, 16413, 16582, 16696, 16411, 20108, 17830, 16412, 16385, 16934, 28289, 16446, 16451, 32167, 26449, 16385, 16413, 54070, 49127, 26301, 16500, 16411, 16398, 20108, 16413, 16582, 16696, 16411, 20108, 17830, 16412, 16385, 30526, 16446, 37427, 16385, 16413, 41861, 48829, 49253, 28198, 16411, 16398, 20108, 16413, 16582, 16696, 16411, 20108, 17830, 16412, 16385, 24691, 16446, 18511, 16791, 16385, 16413, 24427, 16494, 25896, 16613, 35002, 16636, 58497, 16411, 16398, 20108, 16413, 16582, 16696, 16411, 20108, 17830, 16412, 16385, 24691, 16446, 23058, 40653, 16385, 16413, 51253, 16606, 37242, 33660, 30107, 16632, 16411, 16398, 20108, 16413, 16582, 16696, 16411, 20108, 17830, 16412, 16385, 24691, 16446, 37427, 16446, 24360, 16385, 16413, 62309, 62419, 32431, 37040, 16411, 16398, 20108, 16413, 16582, 16696, 16411, 20108, 17830, 16412, 16385, 16934, 28289, 16446, 27947, 17035, 16385, 16413, 24343, 16620, 41921, 16411, 16398, 20108, 16413, 16582, 16696, 16411, 20108, 17830, 16412, 16385, 16934, 28289, 16446, 19788, 16765, 41480, 16385, 16413, 45791, 29431, 16630, 65364, 16615, 34571, 16625, 16411, 16398, 20108, 16413, 16582, 16696, 16411, 20108, 17830, 16412, 16385, 16934, 28289, 16446, 44212, 16385, 16413, 51694, 25896, 16613, 16411, 16398, 20108, 16413, 16582, 16696, 16411, 20108, 17830, 16412, 16385, 24691, 16446, 16656, 16666, 16802, 16385, 16413, 24520, 16611, 43765, 16618, 16411, 16398, 20108, 16413, 16582, 16696, 16411, 20108, 17830, 16412, 16385, 24691, 16446, 16656, 18060, 16666, 16802, 16385, 16413, 26167, 16494, 65380, 50057, 16411, 16398, 20108, 16413, 16582, 16696, 16411, 20108, 17830, 16412, 16385, 24691, 16446, 16656, 20999, 20656, 16385, 16413, 24419, 16495, 24343, 16613, 46216, 16639, 29720, 16411, 16398, 20108, 16413, 16582, 16696, 16411, 20108, 17830, 16412, 16385, 19355, 16446, 64577, 16385, 16413, 16388, 16401, 16387, 16466, 30831, 16624, 32121, 16388, 16400, 16387, 16466, 22289, 54728, 16503, 37052, 16491, 29579, 16487, 41150, 19411, 16411, 16398, 20108, 16413, 16582, 16696, 16411, 20108, 17830, 16412, 16385, 19355, 16446, 64577, 16446, 23718, 16385, 16413, 55971, 54728, 16503, 37052, 16491, 16411, 16398, 20108, 16413, 16582, 16696, 16411, 20108, 17830, 16412, 16385, 19355, 16446, 55777, 35123, 16385, 16413, 25911, 20599, 16633, 30107, 16492, 51253, 16606, 26167, 16494, 31574, 16493, 46470, 16621, 52920, 34242, 16612, 24826, 16507, 21211, 16619, 25896, 16613, 23932, 16621, 37665, 42329, 35169, 24520, 16606, 42269, 33483, 41699, 16634, 25959, 16615, 58201, 25896, 16637, 40958, 19411, 16411, 16398, 20108, 16413, 16582, 16696, 16411, 20108, 17830, 16412, 16385, 24625, 16446, 24551, 16385, 16413, 34242, 16612 ]
[ 0, 17635, 20331, 25365, 16671, 16703, 16641, 20555, 16673, 17072, 16396, 16928, 22879, 16672, 16647, 23632, 20052, 25876, 16604, 16396, 17578, 16721, 17123, 17391, 24237, 16671, 17393, 16891, 16395, 18839, 16715, 16647, 46870, 16397, 16687, 17134, 16728, 16741, 16887, 17210, 16671, 17911, 17536, 16671, 16647, 23632, 18205, 16672, 22134, 16715, 17016, 16687, 20816, 16815, 16728, 16397, 16582, 16582, 16399, 16401, 19137, 16604, 16401, 16399, 16400, 16406, 16582, 16582, 21643, 16689, 16582, 16582, 19315, 17262, 16395, 16887, 18659, 16397, 16999, 16390, 16466, 17005, 16715, 16647, 17446, 18335, 16395, 16647, 20331, 17498, 16687, 16807, 16992, 58673, 16671, 19666, 17608, 16687, 17092, 19807, 16647, 16604, 16402, 16419, 19288, 16673, 23894, 16647, 18671, 16945, 17142, 18355, 18469, 16397, 16999, 18200, 16848, 16641, 17437, 16671, 24303, 16647, 27435, 41037, 19484, 16815, 16887, 18661, 20177, 16723, 19661, 16984, 16397, 26775, 16929, 16872, 18021, 54559, 16709, 16641, 20908, 16673, 16604, 16390, 31112, 16658, 19019, 25776, 16390, 16604, 16391, 46424, 16732, 16807, 16667, 18479, 17016, 16732, 17137, 16671, 16829, 16395, 16850, 17097, 16991, 32673, 40979, 17072, 16392, 20614, 17072, 16732, 17291, 16903, 16734, 16641, 56901, 16604, 16391, 16770, 19484, 16392, 17769, 16673, 21431, 25717, 16395, 18194, 24968, 16395, 19104, 16397, 17465, 16687, 16955, 16671, 19791, 16721, 16903, 16641, 17687, 17092, 16397, 20099, 16395, 16887, 16984, 17257, 16641, 17563, 16922, 17032, 16994, 17299, 16647, 20774, 16395, 16674, 17310, 19696, 16961, 40485, 16647, 18723, 18479, 16397, 17376, 16641, 27668, 16604, 16396, 17135, 21076, 16811, 20331, 17498, 16687, 19987, 18040, 17967, 19110, 17072, 16674, 17154, 28609, 17818, 16647, 16984, 18786, 16604, 16409, 16392, 16397, 16582, 16582, 16853, 18723, 18479, 16582, 16582, 17894, 16732, 16843, 17337, 16672, 16647, 18722, 17498, 16395, 16687, 16604, 16390, 48401, 16390, 16647, 20492, 20774, 43841, 16604, 16396, 22840, 21014, 16604, 16396, 16709, 16641, 43438, 16402, 16419, 17862, 17716, 16397, 16711, 17862, 17716, 16704, 16641, 16859, 16396, 25582, 39028, 16721, 23496, 16891, 16673, 16641, 27679, 16673, 16604, 16400, 16400, 16471, 16400, 16400, 18842, 16395, 16721, 17510, 16647, 45795, 16397, 17426, 16687, 24175, 16961, 16703, 17914, 16671, 46363, 20492, 39407, 16709, 17310, 23402, 16395, 16687, 16843, 18062, 17310, 18842, 16903, 16674, 17285, 16674, 18040, 16969, 16641, 16604, 16402, 16419, 20774, 16397, 16772, 41353, 19302, 16868, 16703, 37923, 16903, 16674, 17285, 16397, 16853, 18479, 16673, 56529, 16647, 17399, 18302, 16673, 16641, 39028, 16395, 16944, 22609, 16891, 16671, 16703, 17238, 19406, 16395, 16704, 22360, 16809, 16647, 22563, 27194, 16738, 42288, 16735, 16672, 16647, 17092, 21888, 16673, 16888, 17724, 16396, 19914, 16604, 16385, 18495, 16798, 44764, 22637, 22919, 16385, 23940, 19019, 18677, 18502, 16709, 24984, 16395, 16641, 17482, 16396, 16825, 16671, 16888, 31973, 16719, 22147, 16734, 43438, 18502, 16709, 28730, 16604, 16408, 16395, 16721, 16687, 18328, 16641, 19749, 20089, 17411, 16715, 18594, 16929, 19909, 16671, 16969, 17021, 16647, 19453, 16734, 43438, 16402, 16419, 16397, 16582, 16582, 59243, 16991, 51755, 16396, 49341, 16983, 16671, 16647, 41353, 16582, 16582, 16853, 53448, 42465, 28676, 28004, 28874, 29076, 25684, 16667, 45507, 20339, 16420, 35891, 16964, 16721, 20634, 16732, 16671, 16969, 23035, 28266, 16672, 18295, 19223, 16397, 18483, 16673, 17007, 16704, 16641, 27679, 16673, 23035, 28266, 16672, 16641, 21011, 16661, 19855, 16397, 17673, 16704, 17016, 16742, 17137, 16604, 16396, 17038, 43841, 16769, 23110, 16397, 16772, 29076, 17851, 16647, 21011, 16661, 19855, 17208, 16703, 25101, 16741, 21983, 16409, 16582, 16582, 16385, 16416, 21011, 16661, 19855, 21365, 16741, 16641, 17280, 16673, 16762, 29182, 16407, 16403, 18915, 28266, 16674, 17301, 28266, 16672, 16647, 18211, 17970, 16409, 16582, 49093, 52829, 16395, 23396, 17301, 20161, 16395, 21522, 52829, 16395, 23943, 17301, 20161, 16385, 16582, 16582, 17991, 16732, 41538, 16641, 41353, 34188, 16859, 16721, 21522, 16704, 16903, 16395, 16742, 16769, 19062, 16671, 31284, 16647, 40760, 20447, 16673, 16647, 17772, 16396, 18357, 16674, 21387, 16396, 19911, 16673, 16647, 41353, 16397, 16772, 22291, 20076, 42465, 44629, 19522, 19484, 16715, 16647, 21522, 16396, 22662, 22481, 16673, 16647, 41353, 16395, 17226, 16397, 16452, 16397, 17772, 17939, 16397, 16687, 31982, 16647, 19484, 16671, 16719, 16386, 16397, 16397, 16397, 16582, 16582, 16397, 16397, 16397, 16674, 16728, 18786, 19655, 16395, 16850, 16742, 17109, 16647, 21631, 23396, 16674, 16647, 21522, 23943, 18842, 16397, 19845, 16395, 16980, 16732, 18328, 17072, 16647, 43841, 16769, 43815, 16395, 16732, 16843, 20283, 17134, 17072, 16647, 21522, 23943, 17411, 16704, 16647, 21522, 16396, 22662, 17411, 16673, 16647, 41353, 17262, 16673, 17038, 17788, 41353, 16395, 16674, 16647, 21631, 16396, 22662, 17411, 16704, 16647, 21522, 23396, 17411, 16673, 16647, 41353, 19057, 17038, 41353, 16397, 23466, 16742, 16843, 17231, 16647, 21522, 16396, 22662, 18842, 16673, 17310, 30039, 43841, 16671, 17393, 16647, 19795, 16742, 18040, 17109, 16604, 16396, 16945, 16811, 16409, 16582, 16582, 22673, 22742, 16582, 16582, 24346, 23632, 16704, 16641, 21119, 17766, 16395, 16728, 60943, 16872, 16667, 19440, 29944, 16859, 16647, 53448, 42465, 28676, 28004, 28874, 22779, 17028, 24814, 16395, 20510, 16395, 27189, 16395, 20990, 16395, 27102, 21873, 16466, 16395, 16726, 42379, 16395, 16785, 16998, 16977, 17517, 46876, 21424, 20666, 16604, 17064, 16728, 22779, 26313, 17719, 29830, 16397, 23687, 16704, 17238, 34397, 16395, 16741, 16647, 23276, 55267, 40411, 21424, 20666, 16704, 16604, 17064, 25209, 24017, 16604, 17064, 29830, 17441, 16397, 17403, 16728, 22779, 39407, 16672, 17446, 17394, 19795, 16395, 16674, 17437, 16728, 17699, 16703, 17174, 16671, 17299, 33916, 37883, 16457, 26994, 16672, 17446, 22908, 16395, 16728, 16868, 16703, 16641, 18064, 17441, 17703, 16671, 20134, 16672, 16887, 18392, 16604, 16391, 16658, 16998, 18392, 16395, 16715, 17016, 22742, 16392, 16397, 22291, 20076, 27139, 16704, 19628, 16767, 16641, 39624, 21434, 16972, 40566, 17743, 16604, 17064, 16674, 16741, 16641, 60911, 19475, 16395, 16687, 16945, 16671, 16703, 16647, 22908, 26557, 47714, 16604, 16396, 16671, 16969, 16715, 16811, 17446, 17417, 20187, 16397, 22483, 17244, 16395, 28134, 16671, 16647, 22291, 20076, 27139, 44629, 16604, 17064, 16986, 16704, 16641, 19407, 19426, 16721, 18937, 17072, 17259, 29830, 16641, 34223, 16704, 16767, 16998, 18201, 40566, 17743, 16397, 17119, 16868, 17109, 16647, 19101, 16972, 41353, 16604, 16391, 21202, 16704, 16604, 16401, 16404, 16405, 37496, 16395, 16741, 16687, 22360, 16672, 16647, 18722, 17498, 16392, 16395, 16859, 16742, 17188, 16647, 18211, 19484, 16721, 16868, 17882, 16732, 16641, 21434, 21348, 16715, 16647, 18125, 40566, 19415, 16715, 22291, 20076, 27139, 16409, 16582, 16582, 17635, 19325, 38915, 16647, 16700, 16967, 22407, 20189, 16715, 16647, 17009, 20625, 16742, 16807, 16994, 19438, 16397, 34896, 16728, 17177, 31261, 16647, 29967, 16395, 23858, 16647, 37773, 16395, 16647, 17747, 51333, 16604, 16400, 16400, 16471, 16400, 16400, 18842, 16721, 16769, 16672, 16641, 43438, 17862, 17716, 16395, 16674, 16647, 18474, 16397, 19488, 16728, 21065, 16641, 20370, 16673, 43438, 16402, 16419, 19484, 18047, 16604, 16894, 37751, 16438, 16900, 16944, 16704, 16641, 19373, 16673, 45601, 24832, 20472, 16809, 18148, 16734, 16641, 17563, 16673, 26932, 16604, 16391, 31438, 16392, 16397, 17294, 16721, 16743, 16466, 16728, 16397, 17119, 17188, 16641, 17322, 16671, 16647, 21160, 23612, 55005, 19862, 18197, 16945, 16811, 16409, 16582, 16582, 16909, 16721, 25635, 41353, 17586, 16704, 30901, 16395, 16728, 17257, 16804, 17097, 40818, 16647, 46107, 16673, 16647, 41353, 16395, 16850, 17027, 16647, 46107, 16673, 16647, 16604, 16402, 16419, 17586, 16397, 16582, 16582, 29716, 16661, 16647, 16604, 16402, 16419, 17586, 16582, 16582, 21758, 16903, 16704, 16641, 18197, 26949, 42487, 28004, 19862, 20404, 26783, 16395, 16721, 16704, 18047, 16815, 29767, 16604, 16391, 16909, 16931, 16604, 16405, 16399, 18032, 16641, 17711, 16392, 16397, 16875, 16811, 18197, 16742, 18344, 16980, 16641, 16647, 27139, 55005, 16704, 46107, 16604, 17064, 16674, 16980, 16728, 16743, 16466, 20008, 16395, 16742, 17650, 16647, 17586, 16582, 16582, 17375, 28676, 28004, 24916, 16704, 16641, 17568, 16671, 17087, 61142, 16641, 17539, 16815, 16641, 17322, 16671, 16647, 53448, 42465, 28676, 28004, 28874, 16672, 16397, 16687, 23373, 16647, 17539, 16673, 16641, 27722, 17322, 16672, 55913, 16401, 16418, 53317, 16674, 17497, 16641, 17568, 20189, 17141, 16604, 17064, 17097, 16687, 20152, 16858, 21454, 17065, 17726, 22262, 16859, 16647, 18661, 22869, 20236, 43438, 55913, 43127, 17269, 16395, 16721, 17257, 16804, 17672, 16671, 17967, 16647, 20174, 16673, 21454, 16395, 16843, 22010, 16728, 16397, 16687, 17027, 65236, 26284, 16672, 16647, 23060, 16815, 16647, 22004, 17035, 16397, 16999, 16743, 16466, 16804, 17238, 19550, 16850, 16980, 16732, 17137, 16641, 17158, 16854, 17348, 16672, 16647, 35850, 17913, 16397, 16582, 16582, 20323, 19603, 16647, 16604, 16402, 16419, 17586, 16397, 16582, 16582, 18473, 17178, 16728, 16743, 16466, 17005, 16671, 18040, 18062, 16647, 39028, 18842, 16903, 16667, 17285, 16397, 47909, 17655, 19484, 16687, 35549, 16815, 27194, 16738, 42288, 16735, 16395, 16734, 16641, 17589, 21798, 16942, 16815, 16848, 16409, 16582, 16582, 22397, 16742, 16969, 16647, 21434, 21348, 16604, 17064, 16721, 16743, 16466, 19325, 16647, 18020, 16809, 16944, 39407, 17586, 17724, 16703, 24536, 16671, 17190, 16728, 19644, 16647, 17788, 40566, 17743, 16397, 24123, 16395, 16742, 16969, 16647, 39407, 17586, 19302, 16395, 16721, 16704, 17142, 19415, 17285, 16672, 16774, 28676, 28004, 19862, 16397, 17294, 17177, 16742, 16854, 33157, 16647, 39407, 16673, 16647, 39028, 18842, 16671, 19644, 17310, 16673, 16647, 39407, 16742, 17497, 16397, 17544, 16991, 18188, 16604, 16396, 16674, 16721, 16390, 16466, 17818, 16687, 17031, 16728, 19175, 16945, 16647, 53448, 42465, 28676, 28004, 28874, 19175, 16671, 16703, 16945, 19789, 16396, 16928, 16396, 19434, 16715, 16811, 21535, 16604, 16396, 16647, 18842, 17659, 16672, 16767, 20001, 16647, 17262, 17970, 16715, 43438, 16671, 17650, 16672, 16647, 39028, 16397, 16582, 16582, 17894, 16687, 20816, 16815, 27194, 16395, 16732, 19108, 33157, 16647, 18842, 16673, 16641, 39028, 16395, 16732, 16807, 16671, 21176, 17007, 16397, 17465, 16742, 25623, 17181, 16647, 39028, 18842, 16674, 22748, 16641, 17685, 16734, 18842, 16721, 16807, 16914, 16712, 16604, 17064, 16859, 16647, 28720, 20715, 16604, 17064, 20152, 16671, 16641, 47714, 18020, 16673, 16647, 39407, 16397, 19488, 16742, 17322, 17143, 26355, 58337, 16395, 16721, 19325, 49474, 16647, 18734, 39028, 16734, 17009, 45795, 16395, 17257, 16991, 17117, 16666, 16450, 18093, 16674, 37963, 16466, 16647, 19094, 17618, 16395, 16859, 16912, 35669, 47111, 16868, 18040, 17156, 19407, 16734, 16647, 17009, 39028, 16397, 16687, 17027, 22929, 16721, 16728, 16732, 17121, 16743, 16467, 16829, 16647, 17117, 16666, 29281, 19341, 16395, 16732, 16868, 17291, 16903, 18183, 30439, 17181, 43841, 16397, 16687, 17045, 17811, 17047, 16734, 16641, 26576, 20287, 16673, 43438, 16402, 16419, 16868, 17967, 17818, 16397, 16687, 16994, 17494, 16891, 16721, 16728, 18467, 16671, 16703, 18090, 16397, 16582, 16582, 20574, 16390, 16467, 18512, 17156, 18352, 16384, 17664, 16641, 17589, 24476, 17578, 17939, 16671, 16829, 16395, 16671, 17190, 16647, 17539, 17158, 17203, 16397, 16582, 16582, 46320, 16647, 17262, 20447, 16674, 18651, 16582, 16582, 22397, 16673, 16858, 16395, 16647, 20774, 16704, 17936, 16673, 38588, 16395, 16944, 16763, 16922, 16785, 17827, 23740, 16396, 17054, 16715, 16647, 22415, 20774, 16395, 16850, 16980, 16732, 17762, 16647, 20774, 17065, 16604, 16402, 16419, 16732, 16868, 16969, 16811, 17030, 22906, 17717, 16397, 17465, 17671, 16903, 16647, 17913, 16672, 43438, 16395, 18725, 16641, 17009, 18651, 16604, 16894, 22090, 40904, 16900, 16674, 20746, 16647, 21454, 16741, 26923, 17348, 19057, 17939, 16397, 16772, 20241, 16673, 16647, 18651, 17208, 16703, 16604, 16386, 16417, 20709, 53805, 20840, 16397, 21125, 17939, 19521, 16397, 18196, 16728, 16704, 18090, 16395, 28190, 16728, 16709, 17772, 16673, 16647, 27139, 55005, 16604, 16391, 19914, 17262, 19521, 16392, 16397, 16582, 16582, 22127, 16395, 16647, 16984, 16704, 17363, 18183, 16767, 19941, 23657, 16397, 19814, 16721, 16743, 16466, 16667, 22563, 17617, 16395, 16986, 18405, 16743, 16467, 17240, 31118, 16671, 17134, 16741, 17963, 16741, 42829, 16704, 22252, 16397, 17465, 16742, 16669, 17040, 16472, 17030, 16671, 16647, 27139, 25164, 22730, 16397, 17664, 16742, 17928, 16647, 40566, 17743, 16671, 16604, 16400, 16403, 16395, 16647, 25945, 20161, 16671, 16604, 16403, 16405, 16397, 16406, 16407, 16403, 16399, 16402, 16674, 16647, 22279, 20161, 16671, 16604, 16396, 16400, 16401, 16400, 16397, 16406, 16404, 16403, 16402, 16582, 16582, 17409, 16390, 16466, 16641, 17687, 23943, 16674, 18761, 16641, 18064, 16922, 21631, 16815, 19941, 23657, 16397, 16875, 17551, 16395, 17014, 16732, 18512, 17156, 16395, 16732, 16868, 17134, 16641, 38467, 16721, 16704, 17238, 22445, 16980, 16732, 18209, 23308, 18046, 16647, 26816, 18124, 16785, 24978, 16728, 16409, 16582, 16582, 60825, 22092, 30056, 17478, 16395, 16647, 43013, 22096, 16931, 16604, 16400, 16399, 16399, 22751, 16815, 26816, 16395, 17238, 58015, 25350, 16815, 24495, 16604, 16396, 21911, 48619, 16397, 17999, 16969, 16811, 18058, 16395, 16687, 16955, 16671, 61080, 16734, 16647, 18058, 18123, 26438, 16641, 17687, 17135, 33108, 17156, 16604, 16396, 16980, 16732, 18512, 17156, 25241, 16732, 16868, 17134, 30056, 17478, 16815, 16641, 17563, 16922, 18399, 16903, 16397, 16582, 16582, 18111, 16721, 16395, 16887, 18659, 16395, 16704, 17072, 16732, 17190, 16641, 16604, 16402, 16419, 20774, 16672, 16912, 21965, 16462, 16427, 17000, 16397, 19525, 18546, 17249, 17617, 16672, 16647, 17394, 16397, 33475, 16671, 17134, 33916, 37883, 16457, 26994, 16414, 26325, 25945, 20161, 16671, 16604, 16396, 16402, 16397, 16401, 16400, 16404, 16399, 16407, 16674, 22279, 20161, 16671, 16604, 16402, 16406, 16397, 16402, 16406, 16402, 16400, 16405, 16397, 21328, 17156, 16397, 16582, 16582, 46278, 48705, 25903, 16414, 25945, 20161, 16604, 16403 ]
[ 0, 16400, 16397, 35453, 16604, 16474, 16386, 19810, 16400, 16396, 42287, 16466, 16396, 16400, 16402, 16396, 16399, 16402, 16400, 16400, 16400, 16476, 16582, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16582, 16582, 16853, 24047, 16395, 26343, 16395, 16674, 27165, 16673, 16998, 19729, 16704, 24906, 27158, 16709, 16647, 26343, 16673, 28937, 16674, 62055, 16721, 16641, 18201, 19729, 16704, 17366, 16673, 16397, 16772, 25365, 16671, 17967, 16647, 18343, 17731, 16673, 18798, 16769, 25573, 18842, 16673, 20287, 17073, 28771, 16715, 19617, 16672, 22656, 23510, 20988, 16397, 17170, 21477, 16672, 22228, 17014, 37930, 19619, 16673, 18798, 16769, 19570, 16397, 34513, 37930, 20937, 16395, 30807, 16647, 53967, 18446, 16673, 16647, 29571, 16674, 44459, 18446, 16673, 16647, 20293, 16395, 16763, 21852, 16672, 16641, 18122, 17585, 16673, 21024, 16395, 16944, 16958, 18242, 30103, 16741, 58407, 17399, 43353, 16604, 16443, 16442, 16442, 16415, 16417, 16400, 16396, 42287, 16466, 16396, 16400, 16402, 16396, 16399, 16402, 16400, 16400, 16400, 16444, 16395, 16442, 16415, 16417, 16401, 16396, 42287, 16466, 16396, 16400, 16402, 16396, 16399, 16402, 16400, 16400, 16400, 16444, 16443, 16444, 16397, 27385, 30103, 58407, 17399, 43353, 16647, 22437, 16477, 16401, 16477, 21754, 16477, 16402, 16477, 28758, 16395, 19570, 16741, 17203, 18651, 16715, 24838, 55745, 16604, 16443, 16442, 16442, 16415, 16417, 16402, 16396, 42287, 16466, 16396, 16400, 16402, 16396, 16399, 16402, 16400, 16400, 16400, 16444, 16395, 16442, 16415, 16417, 16403, 16396, 42287, 16466, 16396, 16400, 16402, 16396, 16399, 16402, 16400, 16400, 16400, 16444, 16443, 16444, 16674, 18239, 19171, 17168, 20364, 16604, 16443, 16442, 16442, 16415, 16417, 16404, 16396, 42287, 16466, 16396, 16400, 16402, 16396, 16399, 16402, 16400, 16400, 16400, 16444, 16395, 16442, 16415, 16417, 16405, 16396, 42287, 16466, 16396, 16400, 16402, 16396, 16399, 16402, 16400, 16400, 16400, 16444, 16443, 16444, 21003, 16395, 16763, 21578, 16741, 16647, 18910, 16673, 16811, 18077, 16397, 21850, 18918, 17399, 43353, 16604, 16391, 16435, 19068, 16392, 16769, 16641, 20318, 18383, 16673, 28966, 21024, 16673, 16944, 16647, 29571, 17015, 16704, 16641, 19692, 17399, 30433, 25743, 16647, 20293, 17686, 36522, 16647, 21057, 16673, 23510, 19619, 24833, 21137, 17788, 16604, 16443, 16442, 16442, 16415, 16417, 16401, 16396, 42287, 16466, 16396, 16400, 16402, 16396, 16399, 16402, 16400, 16400, 16400, 16444, 16395, 16442, 16415, 16417, 16406, 16396, 42287, 16466, 16396, 16400, 16402, 16396, 16399, 16402, 16400, 16400, 16400, 16444, 16443, 16444, 16397, 17170, 21876, 18937, 16641, 18271, 29571, 18712, 24721, 29620, 16945, 16998, 26874, 17399, 30433, 16785, 35082, 16395, 16850, 16647, 19777, 16704, 16672, 16647, 21057, 16673, 16647, 24721, 17600, 22265, 19619, 16604, 16391, 16401, 16419, 16392, 16785, 20293, 19619, 16604, 16391, 16402, 16419, 16392, 16944, 16769, 24688, 16809, 17005, 16396, 16644, 17067, 16666, 40112, 16397, 16772, 26701, 19927, 16673, 16647, 47448, 20293, 19619, 25901, 16672, 16647, 30046, 17654, 16672, 16647, 48139, 16674, 40545, 16673, 16811, 17568, 16673, 21024, 16397, 16772, 19927, 16673, 16647, 47448, 17568, 16673, 21024, 23526, 16815, 17073, 19857, 23903, 19927, 16704, 31457, 16672, 22228, 17014, 16917, 42973, 16721, 16700, 19068, 21454, 17123, 64093, 21661, 16673, 16951, 16676, 16919, 34923, 16674, 23510, 19619, 16944, 16769, 16804, 25636, 16672, 23312, 59211, 16396, 64748, 19258, 16397, 18485, 32185, 16647, 58407, 17399, 43353, 16769, 19570, 16741, 29334, 21024, 16715, 19705, 21003, 16672, 17718, 21661, 23510, 16785, 17020, 16974, 20364, 20988, 16604, 16443, 16442, 16442, 16415, 16417, 16407, 16396, 42287, 16466, 16396, 16400, 16402, 16396, 16399, 16402, 16400, 16400, 16400, 16444, 16395, 16442, 16415, 16417, 16408, 16396, 42287, 16466, 16396, 16400, 16402, 16396, 16399, 16402, 16400, 16400, 16400, 16444, 16443, 16444, 16741, 17204, 16741, 16715, 21003, 16672, 18712, 27760, 17274, 16741, 24838, 19171, 17168, 24778, 16604, 16443, 16442, 16442, 16415, 16417, 16400, 16399, 16396, 42287, 16466, 16396, 16400, 16402, 16396, 16399, 16402, 16400, 16400, 16400, 16444, 16395, 16442, 16415, 16417, 16400, 16400, 16396, 42287, 16466, 16396, 16400, 16402, 16396, 16399, 16402, 16400, 16400, 16400, 16444, 16443, 16444, 16397, 16582, 16582, 17409, 16704, 17204, 18365, 16721, 36820, 16395, 28460, 16395, 16674, 60111, 21449, 16769, 17889, 19696, 16673, 16647, 16700, 19068, 16397, 50136, 19797, 16395, 26683, 16395, 16785, 26390, 41388, 16964, 16843, 33157, 16647, 20293, 19619, 16604, 16443, 16442, 16442, 16415, 16417, 16400, 16401, 16396, 42287, 16466, 16396, 16400, 16402, 16396, 16399, 16402, 16400, 16400, 16400, 16444, 16395, 16442, 16415, 16417, 16400, 16402, 16396, 42287, 16466, 16396, 16400, 16402, 16396, 16399, 16402, 16400, 16400, 16400, 16444, 16395, 16442, 16415, 16417, 16400, 16403, 16396, 42287, 16466, 16396, 16400, 16402, 16396, 16399, 16402, 16400, 16400, 16400, 16444, 16443, 16444, 16397, 42728, 16666, 60111, 16674, 45737, 16661, 16672, 16647, 47448, 21024, 20634, 16715, 16647, 18123, 16673, 16647, 59401, 16456, 17743, 19565, 19971, 16734, 16647, 16686, 16396, 18926, 16785, 16664, 16396, 18926, 34052, 16944, 16704, 17027, 16641, 25573, 18586, 19863, 16647, 18368, 24956, 17444, 16673, 58407, 17399, 43353, 16721, 28703, 17142, 29432, 16665, 47448, 27440, 16604, 16443, 16442, 16442, 16415, 16417, 16400, 16404, 16396, 42287, 16466, 16396, 16400, 16402, 16396, 16399, 16402, 16400, 16400, 16400, 16444, 16395, 16442, 16415, 16417, 16400, 16405, 16396, 42287, 16466, 16396, 16400, 16402, 16396, 16399, 16402, 16400, 16400, 16400, 16444, 16443, 16444, 16397, 27385, 29432, 16665, 16700, 19068, 16395, 18321, 17654, 16704, 21568, 16709, 26683, 29432, 17575, 16395, 21187, 18443, 16671, 16647, 18230, 63929, 17415, 58407, 26683, 24078, 16395, 16944, 17123, 17474, 16671, 16647, 23643, 16673, 37930, 28966, 37555, 16395, 17274, 16741, 16647, 34025, 55745, 17717, 16604, 16443, 16442, 16442, 16415, 16417, 16400, 16406, 16396, 42287, 16466, 16396, 16400, 16402, 16396, 16399, 16402, 16400, 16400, 16400, 16444, 16443, 16444, 16674, 28966, 44727, 29355, 20742, 17717, 16604, 16391, 57557, 18743, 16392, 16604, 16443, 16442, 16442, 16415, 16417, 16400, 16407, 16396, 42287, 16466, 16396, 16400, 16402, 16396, 16399, 16402, 16400, 16400, 16400, 16444, 16395, 16442, 16415, 16417, 16400, 16408, 16396, 42287, 16466, 16396, 16400, 16402, 16396, 16399, 16402, 16400, 16400, 16400, 16444, 16443, 16444, 16395, 16674, 18242, 16709, 16647, 29530, 16673, 17073, 19056, 19729, 21003, 16397, 39098, 18147, 16704, 21882, 21187, 16709, 47448, 16390, 16466, 23510, 20189, 16674, 16914, 24838, 55745, 21454, 16674, 18379, 23820, 23858, 23052, 35801, 29432, 17575, 16945, 16965, 16395, 45806, 16395, 21788, 16395, 20736, 16395, 16674, 31020, 16604, 16443, 16442, 16442, 16415, 16417, 16401, 16399, 16396, 42287, 16466, 16396, 16400, 16402, 16396, 16399, 16402, 16400, 16400, 16400, 16444, 16395, 16442, 16415, 16417, 16401, 16400, 16396, 42287, 16466, 16396, 16400, 16402, 16396, 16399, 16402, 16400, 16400, 16400, 16444, 16395, 16442, 16415, 16417, 16401, 16401, 16396, 42287, 16466, 16396, 16400, 16402, 16396, 16399, 16402, 16400, 16400, 16400, 16444, 16395, 16442, 16415, 16417, 16401, 16402, 16396, 42287, 16466, 16396, 16400, 16402, 16396, 16399, 16402, 16400, 16400, 16400, 16444, 16395, 16442, 16415, 16417, 16401, 16403, 16396, 42287, 16466, 16396, 16400, 16402, 16396, 16399, 16402, 16400, 16400, 16400, 16444, 16395, 16442, 16415, 16417, 16401, 16404, 16396, 42287, 16466, 16396, 16400, 16402, 16396, 16399, 16402, 16400, 16400, 16400, 16444, 16443, 16444, 16395, 16674, 21041, 21006, 29432, 17575, 16796, 16451, 16395, 24607, 16395, 16966, 16395, 19174, 16395, 45267, 16395, 16674, 47020, 16604, 16443, 16442, 16442, 16415, 16417, 16407, 16396, 42287, 16466, 16396, 16400, 16402, 16396, 16399, 16402, 16400, 16400, 16400, 16444, 16395, 16442, 16415, 16417, 16408, 16396, 42287, 16466, 16396, 16400, 16402, 16396, 16399, 16402, 16400, 16400, 16400, 16444, 16395, 16442, 16415, 16417, 16400, 16399, 16396, 42287, 16466, 16396, 16400, 16402, 16396, 16399, 16402, 16400, 16400, 16400, 16444, 16443, 16444, 16397, 45806, 16674, 20736, 60111, 16673, 16647, 22437, 16477, 16401, 16477, 21754, 16477, 16402, 16477, 22556, 16647, 20994, 16673, 16641, 17785, 24721, 16767, 16647, 47010, 16861, 17411, 16672, 16647, 20293, 47010, 16861, 45642, 16604, 16443, 16442, 16442, 16415, 16417, 16401, 16401, 16396, 42287, 16466, 16396, 16400, 16402, 16396, 16399, 16402, 16400, 16400, 16400, 16444, 16443, 16444, 16397, 23079, 16395, 16734, 16647, 24261, 16673, 28406, 38833, 17731, 17097, 16767, 16647, 20293, 16395, 16641, 17731, 16944, 22277, 16671, 20994, 16647, 24721, 16395, 16872, 16992, 22557, 16715, 16647, 45806, 29432, 16665, 22437, 16477, 16401, 16477, 16391, 21754, 16395, 18621, 16392, 16477, 16402, 16477, 16741, 17204, 16741, 16715, 16647, 21788, 16396, 16451, 30755, 16604, 16391, 30948, 16395, 16434, 16449, 16392, 16477, 16401, 16477, 21754, 16477, 16402, 16477, 24737, 22278, 16604, 16443, 16442, 16442, 16415, 16417, 16401, 16405, 16396, 42287, 16466, 16396, 16400, 16402, 16396, 16399, 16402, 16400, 16400, 16400, 16444, 16443, 16444, 16397, 22437, 16477, 16401, 16477, 21754, 16477, 16402, 16477, 29432, 16665, 16734, 21041, 21006, 16704, 22849, 21187, 16815, 16647, 17411, 16673, 18058, 16673, 52757, 16647, 24838, 55745, 21454, 16604, 16443, 16442, 16442, 16415, 16417, 16401, 16406, 16396, 42287, 16466, 16396, 16400, 16402, 16396, 16399, 16402, 16400, 16400, 16400, 16444, 16395, 16442, 16415, 16417, 16401, 16407, 16396, 42287, 16466, 16396, 16400, 16402, 16396, 16399, 16402, 16400, 16400, 16400, 16444, 16395, 16442, 16415, 16417, 16401, 16408, 16396, 42287, 16466, 16396, 16400, 16402, 16396, 16399, 16402, 16400, 16400, 16400, 16444, 16395, 16442, 16415, 16417, 16402, 16399, 16396, 42287, 16466, 16396, 16400, 16402, 16396, 16399, 16402, 16400, 16400, 16400, 16444, 16395, 16442, 16415, 16417, 16402, 16400, 16396, 42287, 16466, 16396, 16400, 16402, 16396, 16399, 16402, 16400, 16400, 16400, 16444, 16395, 16442, 16415, 16417, 16402, 16401, 16396, 42287, 16466, 16396, 16400, 16402, 16396, 16399, 16402, 16400, 16400, 16400, 16444, 16395, 16442, 16415, 16417, 16402, 16402, 16396, 42287, 16466, 16396, 16400, 16402, 16396, 16399, 16402, 16400, 16400, 16400, 16444, 16443, 16444, 16397, 19063, 29832, 16647, 21559, 16673, 26683, 29432, 17575, 17989, 16647, 47448, 16390, 16466, 25732, 23526, 16815, 22281, 26277, 24218, 16674, 22635, 53773, 16673, 16647, 56377, 35920, 16704, 17363, 24809, 16674, 21384, 16672, 16396, 31163, 16674, 25809, 18446, 27638, 16767, 16647, 37700, 17743, 16397, 17170, 16704, 18839, 16647, 17843, 17014, 22438, 26684, 23520, 17384, 19258, 16395, 17187, 18022, 16641, 24389, 48139, 16395, 18950, 18123, 16395, 16741, 17204, 16741, 26230, 37655, 16673, 16647, 21443, 20189, 16785, 17199, 19729, 21384, 18462, 19761, 16397, 16582, 16582, 17071, 17038, 18722, 19420, 16604, 16443, 16442, 16442, 16415, 16417, 16402, 16403, 16396, 42287, 16466, 16396, 16400, 16402, 16396, 16399, 16402, 16400, 16400, 16400, 16444, 16443, 16444, 16395, 16742, 16807, 23954, 16647, 18180, 16724, 16708, 18076, 23820, 16673, 22437, 16477, 16401, 16477, 21754, 16477, 16402, 16477, 16674, 26217, 16463, 17997, 16674, 19628, 16721, 16647, 23870, 17415, 16647, 27440, 16704, 16804, 24797, 16674, 16647, 22570, 16721, 18200, 17617, 16767, 18392, 21452, 19684, 16671, 16647, 47660, 16673, 16647, 23644, 54691, 20189, 16674, 24261, 16673, 17009, 33780, 16397, 17170, 28536, 19684, 16907, 16671, 18314, 16709, 16647, 23510, 16674, 39133, 23040, 23820, 16673, 16641, 43517, 20189, 17187, 26217, 16463, 17997, 16704, 29432, 16665, 16672, 16647, 22437, 16477, 16401, 16477, 21754, 16477, 16402, 16477, 24737, 18435, 16397, 18275, 16463, 17997, 16809, 19302, 16704, 18761, 20561, 17587, 20432, 16395, 16674, 46109, 19550, 26683, 21454, 19359, 16671, 17073, 17398, 16983, 17731, 16397, 16999, 16704, 18920, 32349, 16721, 16728, 16704, 23655, 16395, 16767, 16641, 17092, 35066, 16395, 16671, 22921, 16721, 26217, 16463, 17997, 35920, 16868, 29584, 34378, 16647, 16660, 17502, 17454, 35920, 16672, 16647, 22437, 16477, 16401, 16477, 21754, 16477, 16402, 16477, 25732, 16741, 16728, 20778, 16715, 16647, 22437, 16477, 16401, 16477, 21754, 16477, 16402, 16477, 29432, 16665, 16734, 16796, 16451, 16604, 16443, 16442, 16442, 16415, 16417, 16402, 16404, 16396, 42287, 16466, 16396, 16400, 16402, 16396, 16399, 16402, 16400, 16400, 16400, 16444, 16395, 16442, 16415, 16417, 16402, 16405, 16396, 42287, 16466, 16396, 16400, 16402, 16396, 16399, 16402, 16400, 16400, 16400, 16444, 16443, 16444, 16397, 37460, 16395, 16647, 51361, 51557, 16673, 47020, 16445, 16401, 16394, 16445, 17065, 16647, 22437, 21186, 16673, 16647, 22437, 16477, 16401, 16477, 21754, 16477, 16402, 16477, 42652, 16763, 21852, 16604, 16443, 16442, 16442, 16415, 16417, 16402, 16406, 16396, 42287, 16466, 16396, 16400, 16402, 16396, 16399, 16402, 16400, 16400, 16400, 16444, 16443, 16444, 16397, 19736, 17411, 16673, 17654, 16763, 24906, 26498, 16767, 16647, 23510, 20189, 16673, 16647, 21715, 18435, 16395, 18839, 16709, 16647, 17398, 16983, 17731, 16673, 26217, 16463, 17997, 16397, 18275, 16463, 17997, 16672, 62055, 16674, 28937, 25231, 16672, 16604, 16401, 16394, 16674, 16604, 16402, 16394, 17398, 16983, 19619, 16397, 47020, 16445, 16402, 16394, 16445, 16704, 17975, 16396, 16460, 34050, 16604, 16391, 16425, 16604, 16412, 16604, 16399, 16392, 17437, 16647, 47020, 16445, 16401, 16394, 16445, 16395, 21852, 16715, 22898, 47020, 16674, 26217, 16463, 17997, 16672, 17361, 19606, 16828, 16675, 62055, 16674, 28937, 16604, 16443, 16442, 16442, 16415, 16417, 16402, 16407, 16396, 42287, 16466, 16396, 16400, 16402, 16396, 16399, 16402, 16400, 16400, 16400, 16444, 16395, 16442, 16415, 16417, 16402, 16408, 16396, 42287, 16466, 16396, 16400, 16402, 16396, 16399, 16402, 16400, 16400, 16400, 16444, 16443, 16444, 16395, 16872, 16641, 18122, 22898, 23903, 18943, 16604, 16391, 16425, 16604, 16412, 16604, 16406, 16398, 16401, 16392, 16397, 16711, 23590, 17398, 16983, 17731, 16872, 17027, 16992, 17494, 16672, 17259, 17361, 19606, 16828, 16675, 28937, 16397, 16875, 16647, 20905, 19831, 16395, 16647, 19208, 16673, 24737 ]
[ 0, 22932, 20014, 16409, 22752, 21893, 16743, 16466, 23470, 31777, 16763, 17366, 16672, 16604, 16400, 16408, 16402, 16400, 16397, 16702, 49098, 16815, 20288, 45373, 17023, 16743, 16466, 20331, 16397, 16582, 16582, 38663, 19517, 16715, 16647, 31973, 37104, 31609, 23064, 16395, 16604, 16401, 16399, 16400, 16400, 16397, 16582, 16582, 18747, 19237, 16647, 16604, 16401, 16399, 16400, 16400, 27377, 41072, 16743, 23144, 16763, 16641, 16852, 42223, 18751, 16809, 18421, 20288, 45373, 17023, 16395, 20040, 17547, 16772, 22698, 16872, 16992, 19193, 20101, 16809, 16647, 29267, 16743, 16466, 21048, 17574, 23422, 16741, 16647, 16604, 17705, 27608, 20252, 17547, 18021, 16743, 16397, 16582, 25768, 28631, 16647, 20010, 18496, 16673, 17624, 19000, 16395, 16772, 22698, 24968, 17072, 16728, 16763, 16721, 16604, 17705, 35016, 16743, 18112, 16671, 16703, 40037, 16741, 16667, 28602, 30421, 16395, 19813, 21691, 16671, 19246, 16945, 16604, 17705, 19286, 16743, 16671, 23467, 16641, 20666, 16673, 17586, 16397, 16999, 16743, 16466, 20212, 16671, 16907, 17178, 16395, 16850, 16728, 18200, 17047, 16945, 24119, 64055, 46939, 29198, 51533, 43534, 16671, 21991, 16721, 18531, 16815, 16647, 18486, 16710, 19484, 16671, 24838, 55677, 16671, 39892, 37444, 17699, 16807, 16641, 52317, 22813, 30421, 16395, 17329, 16647, 17624, 18702, 16742, 17178, 18209, 16672, 17120, 34669, 16397, 16582, 16582, 18129, 17437, 16772, 22698, 19933, 23072, 28481, 17065, 17072, 16647, 58493, 16673, 17586, 16872, 19438, 17016, 16733, 21065, 16667, 16604, 17705, 35016, 27133, 16743, 16395, 45373, 17023, 16743, 16466, 29405, 16421, 18751, 16395, 29106, 16604, 17705, 22194, 17054, 16647, 33025, 16743, 16763, 17963, 17827, 37681, 16671, 18233, 19331, 16741, 22840, 16604, 17705, 24420, 16756, 16743, 16673, 16604, 17705, 23058, 16743, 16397, 16582, 16582, 16894, 16853, 29620, 16900, 16395, 16733, 23649, 16395, 16604, 16894, 16656, 16804, 22576, 33064, 16604, 17064, 16742, 25566, 16734, 16641, 17547, 16672, 16641, 16922, 19680, 17210, 16900, 16397, 16711, 17547, 16704, 16804, 25646, 16641, 27412, 16715, 19014, 16395, 16672, 16647, 17210, 16721, 16641, 23346, 26776, 22952, 16647, 23346, 16397, 16999, 16704, 16395, 16733, 23649, 16395, 16641, 16604, 16894, 54812, 19000, 16604, 17064, 16917, 16721, 16704, 46618, 34308, 16671, 17073, 21535, 16900, 16397, 17673, 18238, 16395, 30094, 16671, 16647, 39642, 18998, 60156, 16673, 19000, 23113, 16756, 16674, 43085, 16395, 16647, 17547, 16868, 17579, 17849, 16397, 16582, 16582, 18313, 17564, 16888, 17843, 16395, 45373, 17023, 18200, 16907, 16709, 16641, 21961, 17181, 16647, 17259, 23395, 16673, 16647, 17547, 16743, 16466, 30571, 46798, 16397, 16875, 16647, 16604, 16400, 16408, 16402, 16399, 16466, 16395, 16715, 18185, 16395, 16641, 22439, 40485, 18154, 18421, 21623, 21893, 19792, 16641, 59618, 43221, 19331, 16604, 16894, 16795, 19721, 16895, 19189, 35996, 16900, 16397, 17119, 16958, 29231, 16673, 32108, 18640, 35662, 19216, 16743, 16466, 17223, 27243, 16665, 30536, 16673, 20235, 16743, 16466, 46798, 16672, 16647, 18334, 16604, 16400, 16408, 16405, 16399, 16466, 16604, 17064, 16647, 53773, 17177, 21035, 16809, 48635, 18908, 16674, 19255, 22523, 16958, 16395, 16671, 20881, 35662, 19216, 16395, 18463, 16988, 16673, 17009, 18816, 19019, 21497, 16673, 37225, 16672, 16647, 18767, 16604, 17705, 43313, 18702, 16743, 16397, 35944, 36922, 18134, 38316, 16763, 21712, 16715, 16667, 17291, 16671, 16647, 17547, 17141, 16672, 16604, 16400, 16408, 16408, 16405, 16395, 16994, 16741, 16733, 23574, 16672, 16604, 16401, 16399, 16400, 16399, 16721, 16604, 16894, 17347, 19902, 17547, 16704, 19357, 16900, 16604, 17064, 16721, 20436, 19331, 16868, 21176, 19902, 19331, 16741, 16647, 29578, 17510, 16397, 16582, 16582, 18473, 16728, 16743, 16466, 16804, 16721, 16647, 21144, 16769, 17009, 16397, 16999, 16743, 16466, 16994, 16721, 16647, 16693, 16396, 18566, 16704, 17178, 16641, 20835, 16395, 16674, 17016, 16743, 16466, 16922, 16728, 16743, 16466, 50339, 16397, 28742, 17119, 16656, 20434, 19792, 16672, 22550, 16758, 16672, 16604, 16401, 16399, 16399, 16408, 17072, 17240, 16733, 24999, 16647, 42114, 16741, 16888, 16604, 16894, 36402, 17009, 23824, 22667, 17434, 16900, 16397, 38742, 18337, 19884, 16409, 17367, 17649, 22589, 20085, 16641, 17009, 40099, 16395, 17178, 22502, 16922, 42114, 25549, 16673, 17547, 26223, 17032, 20235, 16397, 53867, 16647, 18368, 16604, 17064, 16647, 18554, 16673, 16647, 17547, 16704, 20869, 22491, 17262, 17178, 16397, 16582, 16582, 19659, 16859, 16395, 17851, 45373, 17023, 16397, 17376, 18148, 16929, 16872, 17796, 16641, 17563, 16931, 16647, 22144, 17415, 16604, 17705, 24420, 16756, 16743, 16674, 16914, 16604, 17705, 23058, 16743, 16395, 45373, 17023, 16704, 16922, 37681, 16671, 17133, 16673, 16647, 18020, 16673, 16647, 17547, 16741, 26490, 16672, 17073, 20235, 17510, 16397, 16999, 16743, 16466, 16647, 18206, 32623, 16671, 20389, 23060, 16673, 18020, 16721, 18199, 16907, 17652, 16647, 17547, 16741, 16667, 18597, 16395, 16733, 23649, 16395, 16674, 16733, 28808, 16687, 16397, 16416, 45122, 16395, 16929, 17796, 16673, 16647, 19331, 16741, 16604, 17705, 16448, 21537, 16671, 17133, 16734, 16743, 16397, 16582, 16582, 24647, 16977, 27204, 16709, 16647, 18910, 16395, 17274, 16741, 18157, 30108, 16743, 16466, 64023, 17575, 16673, 27971, 16395, 45373, 17023, 30706, 16671, 17133, 16647, 22794, 18234, 16767, 17459, 16704, 16804, 16672, 17551, 16647, 46798, 16673, 16647, 17547, 16604, 17064, 17135, 16858, 16604, 16401, 16399, 16400, 16399, 18831, 16647, 25425, 16673, 16604, 16402, 16400, 16405, 16395, 16399, 16399, 16399, 17009, 26223, 16395, 16674, 16721, 16743, 16466, 16804, 17789, 16647, 20113, 16917, 18115, 26223, 50641, 16673, 16604, 17705, 61749, 16396, 32402, 16743, 17975, 16396, 52741, 28417, 16604, 17064, 16850, 18661, 16647, 28417, 18797, 19302, 16397, 45373, 17023, 63525, 17348, 16721, 16647, 22736, 17123, 16703, 17827, 16931, 20436, 36393, 16674, 16922, 16671, 16829, 16734, 16647, 18187, 16396, 20524, 17502, 16673, 36048, 16674, 16914, 17399, 22536, 16925, 44336, 16395, 38969, 17135, 19623, 16660, 29522, 16674, 21413, 16647, 17141, 42260, 16715, 19357, 16397, 16582, 16582, 17409, 16743, 16466, 17213, 24319, 16721, 16769, 17097, 26516, 16647, 16693, 16396, 26800, 17285, 17441, 16395, 16733, 21144, 16397, 22550, 43548, 29221, 16395, 17441, 17259, 28991, 18455, 16674, 16785, 61309, 16395, 30233, 23072, 17441, 17240, 16395, 22613, 24836, 17441, 17687, 16604, 17064, 16873, 16858, 17760, 16672, 16647, 17210, 16673, 21076, 16641, 33064, 16693, 16396, 18566, 18019, 16397, 16604, 17705, 18543, 45707, 16743, 16693, 16396, 26800, 21935, 23072, 31995, 18677, 16674, 16984, 23768, 17123, 16703, 17204, 16674, 17203, 16395, 16850, 17121, 16743, 16467, 16395, 16733, 41329, 16395, 17298, 56040, 24068, 42085, 17065, 19003, 16395, 16674, 17121, 16743, 16467, 17298, 32728, 18237, 17547, 32085, 16384, 16875, 16977, 18878, 17121, 16743, 16467, 26551, 18248, 16721, 16868, 17391, 16647, 24223, 16891, 16673, 16647, 17547, 16397, 16582, 16582, 17635, 17123, 16703, 16641, 16662, 18803, 19559, 23155, 16709, 45373, 17023, 16743, 16466, 17015, 16395, 16850, 16728, 17027, 19410, 16671, 16647, 20966, 16471, 16673, 16647, 18798, 16397, 16772, 19189, 16804, 20986, 16672, 16811, 18751, 16763, 16604, 17705, 16461, 19504, 17225, 16743, 16395, 16674, 16728, 20749, 16641, 23585, 62548, 16604, 17064, 17135, 16858, 16395, 18405, 16743, 16467, 16647, 17097, 17792, 60427, 16604, 17705, 17347, 17547, 16743, 16815, 16604, 17705, 17347, 21546, 16743, 16672, 16667, 18702, 16673, 16693, 16396, 26556, 30443, 16647, 60330, 16673, 16647, 26304, 22410, 16414, 17294, 16721, 17719, 18421, 17002, 20139, 16414, 16582, 16582, 17071, 16647, 17291, 16395, 16715, 45373, 17023, 16395, 16728, 18112, 17285, 16671, 16641, 18064, 16922, 17032, 26304, 34133, 16395, 16674, 16647, 31089, 18421, 17002, 20139, 47773, 17708, 16809, 36048, 22486, 16671, 16647, 21535, 16673, 29732, 24836, 16734, 16914, 30226, 16397, 16772, 17547, 16741, 16641, 16604, 17705, 54812, 19000, 16743, 16763, 18474, 16397, 22519, 30858, 20776, 16647, 17005, 34705, 16673, 18677, 16671, 17473, 16604, 16400, 16399, 16399, 17202, 16397, 17544, 16647, 21546, 16395, 16647, 17005, 34705, 16704, 17473, 16604, 16401, 16399, 17202, 16410, 20692, 17882, 16785, 17391, 16641, 19201, 16673, 17202, 16397, 16772, 33404, 16673, 16647, 17547, 16741, 16641, 25442, 19000, 16704, 17073, 19629, 16671, 18717, 17181, 16647, 30795, 30858, 16673, 16647, 18074, 16395, 16734, 16641, 17005, 34705, 25760, 16671, 16647, 20227, 16673, 18206, 18496, 16397, 16875, 16647, 47507, 16798, 16673, 16647, 17547, 16395, 17177, 16395, 24166, 17073, 18368, 16397, 17999, 45373, 17023, 16409, 16604, 16894, 18811, 16742, 17393, 22938, 19006, 16672, 16647, 52061, 17875, 16395, 19331, 18222, 16647, 30077, 16673, 47148, 16900, 16397, 16582, 16582, 29246, 45373, 17023, 16704, 16667, 18421, 16395, 29178, 16674, 18783, 24478, 20040, 19331, 22597, 16647, 22122, 62119, 16673, 20252, 16674, 19000, 16397, 18713, 17154, 18961, 17547, 16395, 16604, 17705, 16853, 22698, 16409, 16711, 22296, 16395, 16641, 33197, 16395, 16641, 51053, 16743, 16395, 16704, 17255, 51377, 16741, 16888, 29232, 16661, 16985, 16397, 45373, 17023, 16704, 17027, 16647, 18421, 16673, 16647, 49361, 19331, 16604, 17705, 51448, 16786, 16743, 16395, 16604, 17705, 27498, 20266, 16743, 16395, 16604, 17705, 16421, 18072, 16743, 16674, 16641, 40189, 16673, 36796, 35328, 16397, 24586, 16673, 17213, 19331, 16807, 16992, 61035, 29563, 16674, 18611, 20188, 22308, 52687, 16395, 16674, 16807, 16992, 31982, 17065, 16922, 17032, 16604, 16401, 16399, 26348, 16397, 20288, 56580, 16888, 17005, 17415, 17360, 18533, 18660, 16674, 21000, 16397, 16582, 16582, 41087, 28055, 16466, 19353, 21969, 16809, 20436, 28417, 16395, 16850, 38922, 16809, 16647, 26913, 17592, 16472, 32818, 16673, 19331, 43815, 16903, 16809, 16968, 19741, 18106, 16395, 21002, 23982, 16734, 16647, 47507, 16895, 29637, 16673, 17016, 21094, 40931, 16826, 30797, 16961, 17322, 16641, 16604, 17705, 16449, 34289, 16462, 16396, 55214, 23476, 18799, 16861, 16743, 16397, 16582, 16582, 16424, 17120, 17921, 16732, 17072, 17259, 21399, 17190, 16903, 16647, 24058, 24898, 16945, 39514, 17532, 16395, 16674, 16647, 20157, 16673, 16647, 16582, 25113, 18891, 16743, 34734, 16395, 16674, 17016, 17936, 16673, 45480, 33563, 19492, 16647, 55129, 16410, 16850, 16687, 18022, 17039, 16721, 16811, 16961, 16582, 17100, 16647, 17396, 16741, 21922, 16732, 18530, 16397, 16772, 18329, 17257, 16804, 19881, 16673, 16811, 16395, 16850, 16673, 22144, 17415, 16582, 17347, 27615, 16673, 18692, 16674, 16647, 19122, 16673, 17073, 18074, 16397, 16582, 17205, 17409, 23739, 18627, 16469, 18859, 16395, 16875, 37837, 37386, 16395, 16604, 16400, 16408, 16406, 16403, 16582, 16582, 17071, 16999, 23739, 18627, 16469, 18859, 16743, 16466, 16875, 37837, 37386, 25727, 29056, 16459, 17553, 16673, 22907, 16674, 21014, 40226, 16641, 17242, 64196, 32925, 25530, 16944, 17479, 16647, 36045, 16671, 16944, 40313, 62929, 16872, 39550, 16397, 62929, 39720, 16466, 17213, 36045, 16671, 16888, 36925, 46997, 16459, 18017, 28762, 17714, 64768, 16671, 16641, 20774, 16785, 16641, 17210, 16453, 18191, 22047, 16410, 16742, 16769, 18201, 17687, 16809, 17210, 16673, 16914, 42829, 16395, 16785, 16998, 18870, 16673, 16647, 31517, 25884, 17415, 17492, 33938, 20447, 16397, 23702, 16986, 16769, 17097, 38812, 16395, 16647, 18204, 16449, 16925, 33914, 16673, 62738, 16674, 18019, 16397, 18627, 16469, 18859, 16743, 16466, 35458, 21924, 16769, 16858, 18201, 20737, 16395, 18130, 16743, 16466, 20737, 16945, 54915, 16395, 54280, 16395, 23049, 27847, 16395, 17721, 16744, 17847, 16409, 54915, 16395, 16715, 18185, 16395, 16604, 16894, 16656, 16647, 18329, 25350, 17014, 16732, 28379, 16891, 16815, 16647, 22265, 16673, 16647, 52853, 16767, 16647, 20347, 17014, 16647, 24685, 17659, 16709, 16900, 16604, 16391, 16400, 16408, 16406, 16403, 16409, 16604, 16400, 16400, 16401, 16392, 16397, 17664, 16769, 17259, 21924, 16395, 16850, 17686, 16647, 16917, 16409, 39995, 16397, 17170, 16704, 16647, 39995, 37873, 16785, 25005, 18860, 17073, 25315, 16395, 17030, 16396, 23634, 17737, 30703, 54876, 17077, 16395, 20040, 16604, 17705, 16642, 19379, 18688, 16743, 16704, 48926, 16741, 16647, 53758, 19056, 16798, 16673, 25801, 37950, 16734, 16641, 22445, 18692, 16397, 19525, 16811, 39995, 16986, 16769, 17028, 18723, 21144, 17366, 16395, 19095, 16395, 16815, 16647, 33988, 16798, 16673, 16811, 16917, 18329, 16395, 16769, 61682, 56938, 21924, 16721, 25217, 16641, 26289, 16395, 16641, 20693, 16395, 16641, 64650, 38152, 16395, 16647, 17150, 29965, 16673, 16641, 18519, 16396, 16454, 19308, 17421, 16665, 20610, 17445, 16582, 16582, 18105, 17699, 18627, 16469, 18859, 16743, 16466, 39254, 27204, 16673, 23972, 31517, 16798, 18930, 16671, 18120, 16743, 16466, 34672, 16673, 23972, 28575, 16414, 16727, 16397, 39959, 24911, 16646, 16604, 16391, 16400, 16408, 16408, 16405, 16409, 16604, 16400, 16403, 16401, 16392, 16872, 21931, 16647, 17210, 16875, 37837, 37386, 23294, 16641, 19278, 16604, 16894, 46915, 16945, 16647, 25732, 16673, 16641, 24068, 17888, 16395, 16672, 16944, 16647, 24223, 16843, 21112, 19705, 29957, 16674, 19710, 16641, 20710, 16673, 32458, 16900, 16397, 22191, 16647, 16604, 16400, 16408, 16405, 16399, 16466, 18627, 16469, 18859, 16763, 20309, 16672, 17016, 16647, 18587, 16642, 19019, 56699, 16673, 27802, 20133, 17220, 20645, 16741, 16641, 17210, 16673, 16972, 57441, 16647, 17394, 16395, 16917, 16721, 17120, 32057, 16728, 17065, 16641, 18502, 16673, 39418, 16395, 19505, 33451, 20049, 16395, 18661, 17032, 26416, 16672, 17510, 16395, 16641, 23247, 16733, 19570, 26883, 16672, 16647, 17210, 16728, 33759, 16647, 30496, 19521, 16673, 17038, 21336, 22089, 16397, 16875, 37837, 37386, 24711, 16811, 48155, 24144, 19019, 25994, 16673, 27802, 20133, 17220, 16672, 18865, 16395, 22764, 16715, 16667, 43555, 35344, 16673, 23972, 18692, 19565, 16641, 17280, 16673, 23711, 25204, 22144, 16721, 24190, 20276, 16671, 22134, 16914, 17510, 16395, 17970, 16395, 16674, 36372, 16395, 16741, 31697, 17327, 24554, 16604, 16894, 19064, 16647, 23565, 16672, 16641, 17830, 16900, 16604, 16391, 23803, 16469, 18859, 16604, 16400, 16408, 16406, 16403, 16409, 16604, 16400, 16405, 16403, 16392, 16397, 16582, 16582, 17071, 16875, 37837, 37386, 16811, 48155, 24144, 19019, 25994, 45403 ]
[ 0, 16411, 16414, 27702, 19288, 16412, 16385, 16400, 16397, 16399, 16385, 36143, 16412, 16385, 45044, 16396, 16407, 16385, 16414, 16413, 16582, 16411, 24048, 17627, 16412, 16385, 16404, 18347, 16405, 16408, 16400, 16449, 16404, 16396, 16405, 16399, 16718, 16396, 16403, 16452, 16718, 16396, 16448, 16399, 16403, 16452, 16396, 16401, 16404, 16452, 16405, 16403, 16401, 22592, 16448, 16400, 16401, 16407, 16398, 16465, 16409, 16404, 16408, 16449, 16405, 16448, 16403, 16402, 16403, 16396, 16402, 16405, 16449, 16407, 16396, 16403, 16406, 16402, 16404, 16396, 20056, 16402, 16403, 16396, 16402, 16861, 16453, 16408, 16406, 16402, 16399, 16402, 16404, 16400, 16399, 16391, 17070, 16397, 18997, 19479, 16465, 16397, 16460, 17421, 23270, 16397, 57244, 16765, 16398, 17070, 16397, 18997, 19479, 16465, 16397, 16460, 17421, 23270, 16397, 57244, 16765, 16397, 43889, 16392, 16385, 16413, 16582, 16650, 16411, 24174, 29532, 19288, 16412, 16385, 16408, 16385, 16604, 16398, 16413, 16582, 16650, 16411, 16459, 25087, 16413, 16582, 16696, 16411, 16893, 19931, 16412, 16385, 16408, 16407, 16401, 17964, 16407, 22592, 16396, 16401, 16450, 16408, 16405, 16396, 16403, 36607, 16406, 16396, 16408, 16408, 16405, 16402, 16396, 16400, 16400, 16406, 16400, 16401, 29047, 16405, 16401, 16401, 16452, 16404, 16385, 17830, 16412, 16385, 31211, 22917, 17407, 16397, 16460, 17421, 16397, 25198, 16397, 42347, 16385, 19288, 16412, 16385, 16401, 16385, 16604, 16398, 16413, 16582, 16696, 16411, 24266, 31223, 17627, 16412, 16385, 16406, 16407, 16403, 16402, 16403, 17964, 16407, 16396, 16449, 16399, 16452, 16404, 16396, 16403, 16403, 16403, 16449, 16396, 16407, 16404, 16399, 16451, 16396, 16452, 16406, 16450, 16403, 16705, 16401, 19060, 16408, 16775, 16391, 31211, 22917, 17407, 16397, 16460, 17421, 16397, 24266, 31223, 16397, 16676, 17149, 16397, 43889, 16392, 16385, 16604, 16398, 16413, 16582, 16650, 16411, 16398, 16459, 25087, 16413, 16582, 16650, 16411, 18665, 16466, 16413, 16582, 16696, 16411, 18665, 21304, 16412, 16385, 42795, 16401, 16404, 16385, 17627, 16412, 16385, 16465, 16409, 16399, 16399, 16399, 16399, 16399, 16399, 16399, 16399, 16396, 16399, 16399, 16399, 16399, 16396, 16403, 16399, 16399, 16399, 16396, 16399, 16399, 16399, 16399, 16396, 16399, 16400, 16400, 16450, 16407, 16408, 16404, 16408, 16399, 16402, 16399, 16400, 16391, 31211, 22917, 17407, 16397, 16460, 17421, 16397, 25198, 16397, 16466, 24048, 16397, 43889, 16392, 16385, 16604, 16398, 16413, 16582, 16696, 16411, 18665, 21304, 16412, 16385, 42795, 16760, 16385, 17627, 16412, 16385, 16465, 16409, 16399, 16399, 16399, 16399, 16399, 16399, 16399, 16399, 16396, 16399, 16399, 16399, 16399, 16396, 16403, 16399, 16399, 16399, 16396, 16399, 16399, 16399, 16399, 16396, 16399, 16400, 16400, 16450, 16407, 16408, 16404, 16408, 16399, 16401, 16407, 16407, 16391, 31211, 22917, 17407, 16397, 16460, 17421, 16397, 25198, 16397, 22887, 16397, 43889, 16392, 16385, 39085, 16412, 16385, 23372, 16385, 16604, 16398, 16413, 16582, 16696, 16411, 18665, 21304, 16412, 16385, 42795, 16718, 16385, 17627, 16412, 16385, 16465, 16409, 16399, 16399, 16399, 16399, 16399, 16399, 16399, 16399, 16396, 16399, 16399, 16399, 16399, 16396, 16403, 16399, 16399, 16399, 16396, 16399, 16399, 16399, 16399, 16396, 16399, 16400, 16400, 16450, 16407, 16408, 16404, 16408, 16399, 16401, 16408, 16401, 16391, 31211, 22917, 17407, 16397, 16460, 17421, 16397, 25198, 16397, 43889, 16397, 43889, 16392, 16385, 39085, 16412, 16385, 23372, 16385, 16604, 16398, 16413, 16582, 16650, 16411, 16398, 18665, 16466, 16413, 16582, 16650, 16411, 61140, 16413, 16582, 16696, 16411, 33249, 19931, 16412, 16385, 16450, 16406, 16401, 19060, 16401, 16449, 16408, 16396, 16406, 16450, 16718, 16396, 16403, 16403, 16403, 16406, 16396, 16407, 16402, 16407, 16408, 16396, 16453, 16403, 16399, 16406, 33997, 16400, 16400, 16404, 16407, 16449, 16406, 16385, 17830, 16412, 16385, 31211, 22917, 17407, 16397, 16460, 17421, 16397, 25198, 16397, 43889, 16385, 16413, 16582, 16696, 16650, 16411, 57285, 19931, 16412, 16385, 16405, 16399, 16404, 16403, 16404, 16401, 16402, 16403, 16405, 16403, 16405, 16401, 16406, 16408, 16405, 16403, 16406, 16403, 16404, 16385, 17830, 16412, 16385, 31211, 22917, 17407, 16397, 16460, 17421, 16397, 25198, 16397, 43889, 16397, 43889, 16397, 26141, 22407, 16446, 21624, 37211, 60109, 16385, 32190, 16412, 16385, 17284, 16385, 21304, 16412, 16385, 18178, 16429, 18945, 16385, 16413, 16582, 16696, 16696, 16411, 38797, 19931, 16412, 16385, 16405, 16399, 16404, 16403, 16404, 16401, 16402, 16403, 16405, 16403, 16405, 16401, 16406, 16408, 16405, 16404, 16399, 16407, 16400, 16385, 17830, 16412, 16385, 57285, 16385, 21304, 16412, 16385, 18178, 16429, 16405, 16464, 16385, 16604, 16398, 16413, 16582, 16696, 16650, 16411, 16398, 57285, 16413, 16582, 16696, 16650, 16411, 57285, 19931, 16412, 16385, 16401, 16408, 16408, 16401, 16407, 16400, 16400, 16406, 16404, 16407, 16405, 16406, 16406, 16401, 16408, 16404, 16404, 16399, 16408, 16385, 17830, 16412, 16385, 31211, 22917, 17407, 16397, 16460, 17421, 16397, 25198, 16397, 43889, 16397, 43889, 16397, 26141, 22407, 16385, 32190, 16412, 16385, 17284, 16385, 21304, 16412, 16385, 16428, 16405, 16471, 16425, 16446, 16385, 16413, 16582, 16696, 16696, 16411, 29447, 19931, 16412, 16385, 16406, 16404, 16407, 16407, 16403, 16401, 16407, 16407, 16402, 16400, 16408, 16404, 16404, 16404, 16404, 16399, 16405, 16405, 16402, 16385, 17830, 16412, 16385, 28853, 16385, 21304, 16412, 16385, 16423, 16455, 16407, 16407, 16460, 16385, 16604, 16398, 16413, 16582, 16696, 16696, 16411, 26771, 19931, 16412, 16385, 16406, 16404, 16407, 16407, 16403, 16401, 16407, 16407, 16402, 16400, 16408, 16403, 16406, 16408, 16404, 16408, 16402, 16400, 16399, 16385, 17830, 16412, 16385, 17676, 37211, 16385, 21304, 16412, 16385, 47265, 16448, 16441, 16469, 16385, 16604, 16398, 16413, 16582, 16696, 16650, 16411, 16398, 57285, 16413, 16582, 16696, 16650, 16411, 57285, 19931, 16412, 16385, 16400, 16400, 16405, 16408, 16400, 16401, 16404, 16406, 16407, 16406, 16400, 16402, 16404, 16385, 17830, 16412, 16385, 31211, 22917, 17407, 16397, 16460, 17421, 16397, 25198, 16397, 43889, 16397, 43889, 16397, 24274, 60109, 55030, 16385, 32190, 16412, 16385, 16716, 16385, 21304, 16412, 16385, 16431, 16458, 16438, 16457, 16425, 16385, 16413, 16582, 16696, 16696, 16411, 29447, 19931, 16412, 16385, 16405, 16406, 16400, 16403, 16403, 16400, 16399, 16400, 16405, 16408, 16401, 16405, 16400, 16407, 16404, 16402, 16407, 16407, 16407, 16385, 17830, 16412, 16385, 57285, 19157, 16385, 21304, 16412, 16385, 16420, 29655, 24701, 16385, 16604, 16398, 16413, 16582, 16696, 16696, 16411, 29447, 19931, 16412, 16385, 16403, 16405, 16401, 16407, 16399, 16405, 16406, 16402, 16408, 16399, 16406, 16405, 16404, 16408, 16399, 16406, 16403, 16407, 16407, 16385, 17830, 16412, 16385, 57285, 31829, 29172, 16385, 21304, 16412, 16385, 16433, 16403, 16462, 16429, 16446, 16385, 16604, 16398, 16413, 16582, 16696, 16696, 16411, 29447, 19931, 16412, 16385, 16403, 16405, 16401, 16407, 16399, 16405, 16406, 16402, 16408, 16399, 16406, 16405, 16404, 16408, 16404, 16405, 16407, 16399, 16406, 16385, 17830, 16412, 16385, 23563, 16385, 21304, 16412, 16385, 16433, 16404, 16387, 16426, 16401, 16385, 16604, 16398, 16413, 16582, 16696, 16696, 16411, 29447, 19931, 16412, 16385, 16403, 16405, 16401, 16407, 16399, 16405, 16406, 16402, 16408, 16399, 16406, 16405, 16404, 16408, 16404, 16405, 16407, 16399, 16401, 16385, 17830, 16412, 16385, 38841, 16385, 21304, 16412, 16385, 16433, 16404, 16387, 16426, 16406, 16385, 16604, 16398, 16413, 16582, 16696, 16696, 16411, 29447, 19931, 16412, 16385, 16404, 16399, 16408, 16401, 16400, 16406, 16404, 16406, 16400, 16404, 16407, 16399, 16403, 16408, 16402, 16404, 16402, 16406, 16399, 16385, 17830, 16412, 16385, 57285, 57870, 16385, 21304, 16412, 16385, 16402, 16403, 16427, 23610, 16469, 16385, 16604, 16398, 16413, 16582, 16696, 16696, 16411, 26771, 19931, 16412, 16385, 16400, 16399, 16406, 16400, 16403, 16407, 16408, 16406, 16401, 16406, 16399, 16407, 16402, 16385, 17830, 16412, 16385, 21587, 55030, 16385, 21304, 16412, 16385, 16400, 62370, 30289, 16456, 16385, 16604, 16398, 16413, 16582, 16696, 16696, 16411, 26771, 19931, 16412, 16385, 16400, 16399, 16406, 16400, 16403, 16407, 16408, 16406, 16401, 16406, 16399, 16407, 16403, 16385, 17830, 16412, 16385, 29447, 55030, 16385, 21304, 16412, 16385, 16400, 16435, 61864, 22310, 16385, 16604, 16398, 16413, 16582, 16696, 16650, 16411, 16398, 57285, 16413, 16582, 16696, 16650, 16411, 57285, 19931, 16412, 16385, 16400, 16400, 16405, 16408, 16400, 16401, 16404, 16408, 16407, 16408, 16404, 16404, 16400, 16385, 17830, 16412, 16385, 31211, 22917, 17407, 16397, 16460, 17421, 16397, 25198, 16397, 43889, 16397, 43889, 16397, 32243, 60109, 55030, 16385, 32190, 16412, 16385, 16716, 16385, 21304, 16412, 16385, 19733, 62068, 16441, 16385, 16604, 16398, 16413, 16582, 16696, 16650, 16411, 57285, 19931, 16412, 16385, 16400, 16400, 16405, 16408, 16400, 16401, 16406, 16405, 16401, 16401, 16400, 16405, 16407, 16385, 17830, 16412, 16385, 31211, 22917, 17407, 16397, 16460, 17421, 16397, 25198, 16397, 43889, 16397, 43889, 16397, 32243, 60109, 32457, 16385, 32190, 16412, 16385, 16716, 16385, 21304, 16412, 16385, 22075, 55687, 16407, 16385, 16413, 16582, 16696, 16696, 16411, 38797, 19931, 16412, 16385, 16400, 16400, 16405, 16408, 16400, 16401, 16406, 16405, 16401, 16407, 16407, 16403, 16400, 16385, 17830, 16412, 16385, 16974, 36301, 16385, 21304, 16412, 16385, 22075, 16440, 16403, 16435, 16385, 16604, 16398, 16413, 16582, 16696, 16650, 16411, 16398, 57285, 16413, 16582, 16696, 16650, 16411, 57285, 19931, 16412, 16385, 16400, 16399, 16406, 16400, 16403, 16407, 16408, 16399, 16408, 16399, 16405, 16403, 16399, 16385, 17830, 16412, 16385, 31211, 22917, 17407, 16397, 16460, 17421, 16397, 25198, 16397, 43889, 16397, 43889, 16397, 60109, 55030, 16385, 32190, 16412, 16385, 16716, 16385, 21304, 16412, 16385, 16400, 41876, 35695, 16419, 16385, 16413, 16582, 16696, 16696, 16411, 29447, 19931, 16412, 16385, 16400, 16399, 16408, 16405, 16403, 16404, 16403, 16400, 16399, 16399, 16404, 16404, 16401, 16385, 17830, 16412, 16385, 27226, 16925, 16385, 21304, 16412, 16385, 16400, 16408, 16426, 16467, 16464, 16433, 16385, 16604, 16398, 16413, 16582, 16696, 16696, 16411, 38797, 19931, 16412, 16385, 16400, 16399, 16406, 16400, 16403, 16407, 16408, 16402, 16407, 16408, 16404, 16400, 16408, 16385, 17830, 16412, 16385, 60626, 16385, 21304, 16412, 16385, 16400, 16435, 47295, 16450, 16432, 16385, 16604, 16398, 16413, 16582, 16696, 16696, 16411, 26771, 19931, 16412, 16385, 16400, 16400, 16405, 16408, 16400, 16401, 16408, 16404, 16405, 16403, 16403, 16406, 16407, 16385, 17830, 16412, 16385, 64680, 17235, 16385, 21304, 16412, 16385, 16431, 50668, 16470, 16424, 16385, 16604, 16398, 16413, 16582, 16696, 16650, 16411, 16398, 57285, 16413, 16582, 16696, 16650, 16411, 57285, 19931, 16412, 16385, 16400, 16399, 16406, 16400, 16403, 16407, 16408, 16401, 16407, 16407, 16401, 16408, 16408, 16385, 17830, 16412, 16385, 31211, 22917, 17407, 16397, 16460, 17421, 16397, 25198, 16397, 43889, 16397, 43889, 16397, 23584, 55030, 16385, 32190, 16412, 16385, 16716, 16385, 21304, 16412, 16385, 16400, 16435, 16425, 17596, 16456, 16385, 16413, 16582, 16696, 16696, 16411, 29447, 19931, 16412, 16385, 16401, 16403, 16400, 16405, 16403, 16406, 16405, 16399, 16407, 16401, 16408, 16408, 16403, 16402, 16400, 16400, 16401, 16408, 16385, 17830, 16412, 16385, 29447, 19157, 16385, 21304, 16412, 16385, 51492, 16401, 56695, 16385, 16604, 16398, 16413, 16582, 16696, 16696, 16411, 38797, 19931, 16412, 16385, 16400, 16399, 16407, 16401, 16408, 16407, 16404, 16401, 16408, 16404, 16407, 16403, 16404, 16385, 17830, 16412, 16385, 19280, 18954, 16385, 21304, 16412, 16385, 37039, 16401, 16438, 16463, 16385, 16604, 16398, 16413, 16582, 16696, 16650, 16411, 16398, 57285, 16413, 16582, 16696, 16650, 16411, 57285, 19931, 16412, 16385, 16400, 16399, 16406, 16400, 16403, 16407, 16408, 16401, 16407, 16407, 16401, 16408, 16407, 16385, 17830, 16412, 16385, 31211, 22917, 17407, 16397, 16460, 17421, 16397, 25198, 16397, 43889, 16397, 43889, 16397, 26000, 55030, 16385, 32190, 16412, 16385, 16716, 16385, 21304, 16412, 16385, 16400, 16435, 16425, 17596, 16457, 16385, 16413, 16582, 16696, 16696, 16411, 29447, 19931, 16412, 16385, 16400, 16399, 16406, 16400, 16404, 16408, 16408, 16406, 16406, 16405, 16404, 16405, 16402, 16385, 17830, 16412, 16385, 28853, 16385, 21304, 16412, 16385, 16401, 16399, 16458, 16425, 24575, 16385, 16604, 16398, 16413, 16582, 16696, 16696, 16411, 29447, 19931, 16412, 16385, 16400, 16399, 16406, 16400, 16404, 16408, 16408, 16407, 16408, 16402, 16401, 16404, 16401, 16385, 17830, 16412, 16385, 24551, 32991, 17667, 16798, 16385, 21304, 16412, 16385, 16401, 16399, 37249, 16425, 16439, 16385, 16604, 16398, 16413, 16582, 16696, 16696, 16411, 29447, 19931, 16412, 16385, 16400, 16399, 16406, 16400, 16404, 16408, 16408, 16408, 16402, 16406, 16407, 16402, 16400, 16385, 17830, 16412, 16385, 33173, 20867, 16385, 21304, 16412, 16385, 16401, 16399, 40088, 37187, 16385, 16604, 16398, 16413, 16582, 16696, 16696, 16411, 29447, 19931, 16412, 16385, 16401, 16403, 16400, 16405, 16403, 16406, 16405, 16399, 16407, 16401, 16408, 16408, 16403, 16402, 16400, 16400, 16403, 16399, 16385, 17830, 16412, 16385, 21587, 19157, 16385, 21304, 16412, 16385, 51492, 16401, 21918, 16385, 16604, 16398, 16413, 16582, 16696, 16696, 16411, 38797, 19931, 16412, 16385, 16400, 16399, 16406, 16400, 16404, 16408, 16408, 16408, 16406, 16405, 16400, 16406, 16405, 16385, 17830, 16412, 16385, 24938, 16385, 21304, 16412, 16385, 16401, 16399, 54157, 16434, 16408, 16385, 16604, 16398, 16413, 16582, 16696, 16650, 16411, 16398, 57285, 16413, 16582, 16696, 16411, 16398, 33249, 16413, 16582, 16696, 16411, 33249, 19931, 16412, 16385, 16718, 16775, 16404, 16400, 16408, 16404, 16396, 16401, 16404, 29047, 16396, 16403, 16453, 16401, 16401, 16396, 16408, 16449, 16408, 16401, 16396, 16400, 16399, 16402, 16449, 16408, 16404, 20038, 16407, 16450, 16399, 16450, 16385, 17830, 16412, 16385, 31211, 22917, 17407, 16397, 16460, 17421, 16397, 25198, 16397, 22887, 16385, 16413, 16582, 16696, 16650, 16411, 57285, 19931, 16412, 16385, 16400, 16400, 16402, 16402, 16408, 16401, 16399, 16405, 16403, 16400, 16405, 16401, 16405, 16385, 17830, 16412, 16385, 31211, 22917, 17407 ]
[ 0, 20965, 18403, 17586, 18842, 16843, 16804, 16703, 27362, 40909, 16741, 22965, 17624, 18443, 16671, 30670, 26704, 30701, 16809, 32376, 43259, 18059, 19639, 29167, 17078, 17220, 21217, 16395, 17608, 16647, 17586, 21998, 16647, 25628, 18741, 17624, 16397, 22698, 21370, 17038, 17586, 16843, 16703, 26985, 16767, 16647, 18211, 16693, 16396, 21576, 18751, 16409, 34191, 16720, 24208, 36653, 16706, 19636, 16604, 16391, 16452, 16396, 21576, 16409, 16604, 16411, 16458, 29651, 16706, 16415, 17801, 16397, 16461, 16750, 43259, 16396, 16468, 16397, 16861, 16397, 47468, 16413, 16392, 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, 18069, 46325, 16671, 62291, 16675, 16604, 16391, 17894, 16392, 19565, 24552, 17969, 16704, 16641, 17730, 18813, 16715, 23304, 16604, 16443, 16442, 16442, 16415, 16463, 16877, 16397, 16399, 16400, 16408, 16407, 16406, 16403, 16402, 16397, 18452, 16399, 16399, 16400, 16444, 16396, 16396, 16442, 16415, 16463, 16877, 16397, 16399, 16400, 16408, 16407, 16406, 16403, 16402, 16397, 18452, 16399, 16399, 16402, 16444, 16443, 16444, 16397, 34617, 19831, 20332, 16721, 23659, 16673, 23304, 16671, 17376, 16763, 19970, 16734, 20053, 16673, 16647, 42824, 16395, 33212, 16395, 20848, 16395, 38398, 16395, 28568, 16674, 28037, 16604, 16443, 16442, 16442, 16415, 16463, 16877, 16397, 16399, 16400, 16408, 16407, 16406, 16403, 16402, 16397, 18452, 16399, 16399, 16403, 16444, 16443, 16444, 16674, 16734, 36632, 20062, 16604, 16443, 16442, 16442, 16415, 16463, 16877, 16397, 16399, 16400, 16408, 16407, 16406, 16403, 16402, 16397, 18452, 16399, 16399, 16404, 16444, 16443, 16444, 16397, 16999, 16763, 17027, 19628, 16721, 23659, 16671, 17376, 16763, 19970, 16734, 46934, 24720, 17789, 29166, 40124, 16672, 17968, 16604, 16443, 16442, 16442, 16415, 16463, 16877, 16397, 16399, 16400, 16408, 16407, 16406, 16403, 16402, 16397, 18452, 16399, 16399, 16405, 16444, 16395, 16604, 16442, 16415, 16463, 16877, 16397, 16399, 16400, 16408, 16407, 16406, 16403, 16402, 16397, 18452, 16399, 16399, 16406, 16444, 16443, 16444, 16674, 22710, 16604, 16443, 16442, 16442, 16415, 16463, 16877, 16397, 16399, 16400, 16408, 16407, 16406, 16403, 16402, 16397, 18452, 16399, 16399, 16407, 16444, 16443, 16444, 16674, 16734, 26600, 54008, 34282, 16604, 16443, 16442, 16442, 16415, 16463, 16877, 16397, 16399, 16400, 16408, 16407, 16406, 16403, 16402, 16397, 18452, 16399, 16399, 16408, 16444, 16396, 16396, 16442, 16415, 16463, 16877, 16397, 16399, 16400, 16408, 16407, 16406, 16403, 16402, 16397, 18452, 16399, 16400, 16401, 16444, 16443, 16444, 16397, 16582, 16582, 28752, 16466, 16673, 26227, 21025, 16672, 17975, 57348, 26987, 23375, 17789, 41202, 16395, 20636, 16674, 38686, 16807, 16992, 21487, 16671, 26426, 32345, 16734, 21764, 19260, 16672, 23304, 16604, 16443, 16442, 16442, 16415, 16463, 16877, 16397, 16399, 16400, 16408, 16407, 16406, 16403, 16402, 16397, 18452, 16399, 16400, 16402, 16444, 16395, 16604, 16442, 16415, 16463, 16877, 16397, 16399, 16400, 16408, 16407, 16406, 16403, 16402, 16397, 18452, 16399, 16400, 16403, 16444, 16443, 16444, 16397, 16711, 16819, 47037, 19335, 20332, 16641, 18650, 28667, 16673, 17376, 19415, 16672, 42743, 17458, 21335, 16734, 40686, 16673, 47623, 17918, 16653, 16928, 16861, 32295, 32186, 16604, 16391, 16419, 24000, 30035, 16392, 16767, 16604, 16401, 16822, 28384, 16395, 16944, 29675, 19962, 19415, 16673, 28405, 20636, 19487, 16395, 16672, 16604, 16402, 16399, 24454, 26661, 16604, 16408, 16396, 16396, 16406, 16407, 17202, 40849, 16672, 16647, 20494, 27220, 18205, 16673, 25126, 41042, 16395, 59882, 16604, 16443, 16442, 16442, 16415, 16463, 16877, 16397, 16399, 16400, 16408, 16407, 16406, 16403, 16402, 16397, 18452, 16399, 16400, 16404, 16444, 16443, 16444, 16397, 23121, 16395, 16728, 16704, 18230, 16721, 17376, 16672, 41202, 16704, 16641, 25915, 21304, 16715, 17376, 16396, 42669, 21764, 19260, 16672, 23304, 16397, 18523, 16395, 16986, 16704, 17028, 17815, 19591, 21317, 45751, 17415, 17376, 19415, 16672, 16671, 16652, 21335, 16674, 21764, 19415, 16397, 16582, 16582, 17071, 17038, 18722, 18077, 17655, 22898, 25932, 27576, 26543, 16604, 16391, 16431, 22238, 16392, 16395, 16667, 24426, 16673, 27835, 23659, 16671, 17376, 19565, 24552, 17969, 16734, 21764, 19260, 16672, 18198, 17047, 16763, 19628, 16809, 64720, 19335, 16734, 36878, 16715, 17588, 16889, 16756, 17789, 18702, 16395, 27169, 16395, 18706, 16674, 47750, 16604, 16443, 16442, 16442, 16415, 16463, 16877, 16397, 16399, 16400, 16408, 16407, 16406, 16403, 16402, 16397, 18452, 16399, 16400, 16405, 16444, 16443, 16444, 16397, 18523, 16395, 64720, 19335, 16872, 16804, 16992, 20888, 16671, 26157, 16647, 24426, 16673, 17376, 19415, 16672, 41202, 16734, 21764, 19260, 16672, 23304, 16395, 20290, 18702, 16674, 27169, 16769, 18365, 16671, 16703, 18354, 20671, 30313, 21764, 19415, 16672, 23304, 16604, 16443, 16442, 16442, 16415, 16463, 16877, 16397, 16399, 16400, 16408, 16407, 16406, 16403, 16402, 16397, 18452, 16399, 16400, 16403, 16444, 16395, 16604, 16442, 16415, 16463, 16877, 16397, 16399, 16400, 16408, 16407, 16406, 16403, 16402, 16397, 18452, 16399, 16400, 16406, 16444, 16396, 16396, 16442, 16415, 16463, 16877, 16397, 16399, 16400, 16408, 16407, 16406, 16403, 16402, 16397, 18452, 16399, 16400, 16408, 16444, 16443, 16444, 16397, 16582, 16582, 17071, 26182, 19831, 16395, 27835, 23659, 16671, 17376, 16872, 16992, 19628, 16671, 19225, 18295, 17730, 23699, 17789, 37106, 35781, 16604, 16443, 16442, 16442, 16415, 16463, 16877, 16397, 16399, 16400, 16408, 16407, 16406, 16403, 16402, 16397, 18452, 16399, 16401, 16399, 16444, 16443, 16444, 16674, 36632, 24720, 16604, 16443, 16442, 16442, 16415, 16463, 16877, 16397, 16399, 16400, 16408, 16407, 16406, 16403, 16402, 16397, 18452, 16399, 16401, 16400, 16444, 16443, 16444, 16397, 57926, 16673, 26227, 21025, 16672, 24296, 28735, 16395, 16944, 16769, 18365, 16671, 16703, 16647, 40427, 17840, 16715, 21764, 16395, 16807, 16992, 21487, 16671, 26157, 16647, 28667, 16734, 21764, 19260, 16604, 16443, 16442, 16442, 16415, 16463, 16877, 16397, 16399, 16400, 16408, 16407, 16406, 16403, 16402, 16397, 18452, 16399, 16401, 16401, 16444, 16395, 16604, 16442, 16415, 16463, 16877, 16397, 16399, 16400, 16408, 16407, 16406, 16403, 16402, 16397, 18452, 16399, 16401, 16402, 16444, 16443, 16444, 16397, 63158, 16673, 20044, 16855, 16448, 42031, 16671, 17376, 16767, 16604, 16401, 16399, 16399, 26785, 16398, 16427, 19565, 30300, 16874, 49123, 16666, 31289, 16715, 16604, 16401, 18355, 25901, 16672, 61754, 34237, 17235, 16673, 16647, 24296, 17419, 16604, 16443, 16442, 16442, 16415, 16463, 16877, 16397, 16399, 16400, 16408, 16407, 16406, 16403, 16402, 16397, 18452, 16399, 16401, 16403, 16444, 16443, 16444, 16397, 19736, 18722, 18077, 16872, 20332, 16721, 23659, 16673, 18198, 25878, 16671, 17376, 19565, 24552, 17969, 21099, 38003, 16673, 17376, 16672, 24296, 28735, 16395, 23526, 16672, 21764, 19260, 16604, 16443, 16442, 16442, 16415, 16463, 16877, 16397, 16399, 16400, 16408, 16407, 16406, 16403, 16402, 16397, 18452, 16399, 16400, 16405, 16444, 16443, 16444, 16397, 18523, 16395, 16728, 16704, 16804, 18271, 18515, 16986, 16704, 16641, 28667, 17415, 17376, 19415, 16672, 24296, 28735, 16674, 41202, 16672, 25878, 16397, 16582, 16582, 17071, 16811, 18077, 16395, 16742, 56409, 31030, 16674, 59849, 28020, 18515, 17376, 19415, 16672, 41202, 16769, 25915, 16741, 17975, 16396, 57348, 50492, 16715, 17376, 16396, 42669, 21764, 19260, 16672, 23304, 16674, 18515, 17376, 19415, 16672, 41202, 16769, 19970, 16734, 17376, 19415, 16672, 24296, 28735, 16672, 25878, 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, 16420, 21129, 31723, 18918, 18077, 16604, 16474, 16386, 19810, 16399, 16399, 16402, 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, 17507, 21715, 17624, 16709, 18702, 16395, 18706, 16395, 27169, 18496, 16395, 20007, 16674, 22908, 16672, 16604, 16400, 16403, 16404, 21374, 24454, 26661, 16815, 16604, 16400, 16401, 16671, 16604, 16404, 16404, 17202, 16809, 18171, 16396, 47344, 62178, 16672, 35854, 16741, 21216, 20101, 16604, 16443, 16442, 16442, 16415, 16463, 16877, 16397, 16399, 16400, 16408, 16407, 16406, 16403, 16402, 16397, 18452, 16399, 16400, 16403, 16444, 16443, 16444, 16397, 17119, 21715, 24608, 26535, 16672, 19517, 17510, 16815, 16858, 16673, 16647, 24454, 16397, 17544, 24454, 26661, 16604, 16400, 16401, 16671, 16604, 16400, 16407, 17202, 16395, 16742, 21715, 26535, 16672, 19517, 17510, 16815, 16914, 19326, 16397, 16772, 24454, 16958, 17097, 25534, 16459, 18891, 20489, 17047, 16929, 21611, 23693, 16672, 24885, 19147, 16397, 16772, 24454, 19006, 16672, 16917, 18124, 20065, 28125, 17969, 16674, 16647, 17745, 16673, 16647, 24454, 19006, 16672, 17653, 18124, 20065, 28890, 17204, 17969, 43762, 16734, 17376, 16397, 16772, 24454, 19618, 18095, 16395, 18287, 48260, 16674, 61877, 16397, 16772, 24454, 17132, 16804, 16807, 34995, 18267, 19098, 16734, 17419, 27168, 16674, 16955, 17028, 43693, 23659, 16671, 49374, 16661, 16662, 24354, 16397, 23771, 16673, 16647, 24454, 16955, 16641, 23746, 16673, 24552, 22712, 16397, 17119, 33553, 17097, 24454, 16929, 16955, 16641, 18496, 16673, 17419, 24720, 16785, 24202, 16767, 16647, 17005, 16673, 16647, 22309, 16397, 17119, 25722, 18370, 19027, 21304, 16604, 16391, 26286, 16424, 16392, 16809, 38069, 20007, 16604, 16391, 27114, 16392, 16809, 16647, 23110, 16673, 22908, 16604, 16391, 16460, 16445, 16401, 16445, 16392, 16674, 17405, 35083, 16673, 17131, 24056, 16604, 16391, 16443, 16411, 16604, 16400, 16407, 16397, 16404, 36239, 16398, 16460, 16445, 16401, 16445, 16392, 16395, 19732, 20007, 16604, 16391, 16400, 16407, 16397, 16404, 16396, 16396, 16401, 16403, 16397, 16408, 36239, 16398, 16460, 16445, 16401, 16445, 16392, 16674, 42498, 16604, 16391, 44438, 16482, 16604, 16401, 16404, 36239, 16398, 16460, 16445, 16401, 16445, 16392, 17280, 16809, 16647, 35141, 16604, 16443, 16442, 16442, 16415, 16463, 16877, 16397, 16399, 16400, 16408, 16407, 16406, 16403, 16402, 16397, 18452, 16399, 16401, 16404, 16444, 16443, 16444, 16397, 17119, 17280, 16647, 17881, 18020, 16673, 18702, 16604, 16391, 16401, 16408, 16397, 16405, 17202, 16392, 16673, 16647, 24454, 16672, 16811, 18077, 16741, 16647, 18668, 16396, 18700, 18020, 16715, 18702, 16397, 17119, 23980, 16604, 16399, 16397, 16400, 16396, 16396, 16401, 27844, 23375, 16673, 16671, 16652, 21335, 16815, 17492, 18910, 16809, 17655, 16641, 46316, 36087, 16950, 33586, 16397, 17119, 17027, 23980, 38686, 23375, 16815, 17492, 18910, 16674, 25499, 16647, 23375, 16672, 16604, 16404, 16399, 40350, 53674, 38755, 16767, 16604, 16396, 16407, 16399, 21896, 16418, 18015, 27615, 16397, 17119, 21487, 16647, 21764, 19415, 16767, 16604, 16400, 16395, 16604, 16403, 16674, 16604, 16407, 16822, 28384, 16672, 18150, 16671, 16604, 16400, 16401, 16822, 28384, 16673, 16647, 22381, 16809, 16739, 22238, 16395, 17608, 21764, 17743, 16767, 16604, 16400, 16401, 16822, 28384, 16763, 19628, 16671, 16703, 25628, 16671, 21958, 43705, 16604, 16443, 16442, 16442, 16415, 16463, 16877, 16397, 16399, 16400, 16408, 16407, 16406, 16403, 16402, 16397, 18452, 16399, 16400, 16403, 16444, 16395, 16604, 16442, 16415, 16463, 16877, 16397, 16399, 16400, 16408, 16407, 16406, 16403, 16402, 16397, 18452, 16399, 16400, 16406, 16444, 16395, 16604, 16442, 16415, 16463, 16877, 16397, 16399, 16400, 16408, 16407, 16406, 16403, 16402, 16397, 18452, 16399, 16401, 16405, 16444, 16443, 16444, 16397, 17119, 17405, 16667, 47237, 16734, 17419, 21784, 16396, 18926, 42103, 16604, 16391, 28497, 43223, 47830, 16396, 61120, 16420, 16400, 16404, 16399, 16392, 16672, 16641, 19051, 27147, 18392, 16741, 20101, 21216, 16604, 16443, 16442, 16442, 16415, 16463, 16877, 16397, 16399, 16400, 16408, 16407, 16406, 16403, 16402, 16397, 18452, 16399, 16401, 16406, 16444, 16395, 16604, 16442, 16415, 16463, 16877, 16397, 16399, 16400, 16408, 16407, 16406, 16403, 16402, 16397, 18452, 16399, 16401, 16407, 16444, 16443, 16444, 16397, 17119, 21425, 22898, 43343, 16767, 17492, 23790, 16671, 16641, 18910, 18015, 16647, 18910, 23611, 16647, 19051, 16397, 17119, 23161, 18860, 16647, 18910, 16674, 19194, 16647, 18910, 16734, 16667, 20808, 35865, 16673, 16604, 16404, 16774, 16845, 16449, 17615, 16604, 16391, 16451, 16417, 16392, 16674, 17177, 19800, 16647, 19051, 17743, 16809, 16604, 16404, 61488, 18586, 16396, 17770, 16396, 26797, 16397, 16772, 18910, 21056, 16914, 17459, 17014, 16873, 23611, 16647, 19051, 16397, 17119, 29054, 16647, 19051, 17743, 23611, 16809, 17492, 24454, 16741, 21764, 27421, 16397, 43584, 43343, 16767, 17492, 23790, 16815, 16647, 17419, 27168, 16672, 16647, 19051, 27147, 18392, 16958, 36563, 16809, 17655, 16641, 23960, 17743, 33691, 16604, 16391, 18954, 16604, 16405, 16401, 16401, 16403, 16734, 16667, 16773, 25051, 20838, 22339, 16395, 16711, 23934, 23593, 16397, 16395, 16790, 36020, 16395, 19802, 16392, 16397, 16772, 56409, 18918, 18077, 16763, 22782, 16809, 32376, 43259, 18059, 19639, 29167, 17078, 17220, 21217, 18211, 16647, 24055, 16673, 16647, 22587, 17995, 16604, 16391, 37999, 17738, 17679, 16409, 16604, 16401, 16399, 16400, 16402, 16396, 16396, 16399, 16399, 16406, 16399, 16392, 16674, 16647, 34265, 16673, 50633, 21209, 16395, 18059, 16673, 37547, 23499, 16604, 16391, 24993, 16397, 17028, 16397, 16604, 16404, 16404, 16399, 16408, 16398, 44318, 16397, 20372, 16392, 16397, 16582, 16582, 33962, 30248, 18077, 16604, 16474, 16386, 19810, 16399, 16399, 16403, 16476, 16582, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16582, 16582, 16423, 17349, 17600, 25878, 17961, 16647, 16719, 16404, 16406, 24977, 16398, 16405, 16425, 21515, 16604, 16391, 16400, 17634, 17719, 16395, 21379, 16395, 18370, 20007, 16673, 16604, 16400, 16399, 16396, 16396, 16400, 16404, 16695, 16392, 16958, 29274, 17919, 16815, 16751, 21121, 18859, 34791, 32267, 16395, 19376, 16397, 24586, 16785, 17910, 25878, 16958, 41368 ]
[ 0, 16385, 51726, 16872, 16728, 16395, 16672, 16647, 25003, 16675, 18247, 16673, 62090, 52101, 16397, 16397, 16397, 16986, 16763, 18266, 16641, 22404, 16859, 31902, 16674, 16859, 23594, 16397, 16397, 16397, 16721, 17199, 16647, 31427, 37667, 17107, 16397, 16385, 16604, 16385, 23097, 17028, 21633, 17120, 18262, 17107, 16397, 16397, 16397, 16733, 16763, 27017, 23715, 17065, 16641, 20966, 41824, 16673, 31957, 17457, 23083, 16397, 16385, 16604, 16385, 18377, 16395, 16888, 19856, 16675, 20467, 16763, 26757, 16397, 16397, 16397, 16672, 16647, 17510, 16673, 16641, 17369, 19899, 23050, 41499, 17751, 16397, 16385, 16604, 16385, 18264, 16819, 21207, 16665, 28154, 16395, 16647, 19899, 23050, 41499, 17751, 20362, 25005, 16395, 21089, 16397, 16397, 16397, 17437, 23594, 18102, 35753, 16715, 16728, 16397, 16397, 16397, 22857, 35064, 40725, 16728, 16961, 16807, 16647, 17803, 16397, 16397, 16397, 16671, 54824, 16667, 23985, 16673, 18554, 17600, 42831, 16397, 16397, 16397, 16674, 16734, 17007, 16395, 20866, 16647, 17394, 16397, 16385, 16604, 16385, 18377, 16390, 16466, 17536, 18909, 16397, 16385, 16604, 16385, 16424, 16829, 17477, 16728, 16672, 16887, 30769, 16397, 16385, 16604, 16385, 16853, 19496, 30020, 19324, 16728, 17441, 16397, 16385, 16604, 16385, 18001, 17121, 16390, 16467, 17134, 16998, 16673, 17007, 17473, 16397, 16385, 16604, 16385, 16853, 33648, 16665, 19622, 16395, 16721, 18908, 16396, 36930, 35295, 16397, 16385, 16604, 16385, 18105, 16390, 16466, 16733, 21089, 16715, 16414, 16385, 16604, 16385, 21516, 16395, 19585, 16395, 19713, 16397, 16385, 16604, 16385, 16424, 17039, 16732, 17137, 16912, 26595, 16397, 16397, 16397, 16850, 16395, 16994, 17178, 16395, 19395, 16704, 16922, 17889, 16397, 16385, 16604, 16385, 21519, 16395, 25209, 16384, 16385, 16604, 16385, 16435, 32475, 16384, 16385, 16604, 16385, 16853, 18174, 16704, 46928, 17030, 16395, 30895, 16657, 16384, 16385, 16604, 16385, 21519, 16395, 16759, 16828, 20379, 16397, 16385, 16604, 16385, 16424, 16763, 16994, 19395, 16397, 16385, 16604, 16385, 18105, 16980, 16647, 18088, 16390, 16466, 17030, 16395, 16674, 16687, 17579, 16955, 16641, 19489, 16671, 19080, 16414, 16385, 16604, 16385, 18111, 16641, 17203, 17792, 17441, 16397, 16385, 16604, 16385, 29203, 18405, 16390, 16467, 16641, 17546, 16397, 16385, 16604, 16385, 24980, 16969, 22479, 16397, 16385, 16604, 16385, 18129, 16687, 16390, 16460, 16804, 23900, 16397, 16385, 16604, 16385, 16430, 16468, 16396, 16430, 16468, 16396, 16430, 17125, 16384, 16385, 16604, 16385, 21516, 16395, 19585, 16395, 16986, 16732, 16769, 16397, 16385, 16604, 16385, 17991, 16647, 33648, 16665, 19622, 18021, 22779, 16397, 16397, 16397, 16732, 16390, 16683, 16807, 16641, 17369, 18335, 16922, 16671, 22069, 16931, 16397, 16397, 16397, 17032, 16641, 30545, 25616, 16397, 16385, 16604, 16385, 19084, 16395, 17028, 16395, 17028, 16395, 19713, 16397, 16385, 16604, 16385, 18867, 16704, 16804, 16715, 16732, 16397, 16385, 16604, 16385, 17409, 16390, 16466, 16715, 22295, 50879, 16397, 16385, 16604, 16385, 35736, 50879, 16395, 22295, 50879, 16397, 16385, 16604, 16385, 17409, 16390, 16466, 17686, 22295, 50879, 16384, 16385, 16604, 16385, 18111, 16917, 17386, 16395, 16887, 20367, 16395, 16732, 17123, 18212, 17818, 16397, 16385, 16604, 16385, 20505, 16395, 17178, 16395, 17028, 16922, 45175, 16397, 16385, 16604, 16385, 18001, 16807, 54573, 16671, 16829, 16397, 16385, 16604, 16385, 21516, 16395, 30125, 16397, 16385, 16604, 16385, 21519, 16395, 16733, 16390, 16466, 16859, 33941, 16397, 16397, 16397, 16674, 16859, 24699, 16671, 16647, 37124, 20747, 16397, 16385, 16604, 16385, 21519, 16384, 16385, 16604, 16385, 24067, 16395, 17158, 16395, 19713, 16397, 16385, 16604, 16385, 18001, 16390, 16644, 16672, 20654, 16397, 16385, 16604, 16385, 21260, 18010, 17939, 16715, 16732, 16397, 16385, 16604, 16385, 21519, 16397, 16385, 16604, 16385, 16419, 16828, 20379, 17930, 16390, 16467, 17967, 16397, 16385, 16604, 16385, 16424, 16390, 16460, 16804, 16641, 17687, 20367, 16998, 16922, 16397, 16385, 16604, 16385, 16424, 17208, 16703, 18045, 45599, 43991, 16715, 62090, 52101, 16397, 16397, 16397, 16804, 21089, 17459, 16674, 18956, 16709, 16641, 48724, 16397, 16397, 16397, 16385, 16604, 16385, 27064, 16384, 16385, 16604, 16385, 21519, 16395, 16858, 17262, 16395, 22295, 16397, 16385, 16604, 16385, 16424, 17727, 16390, 16467, 17881, 16728, 16397, 16385, 16604, 16385, 18001, 16390, 16451, 17607, 20647, 16728, 16397, 16385, 16604, 16385, 16419, 16828, 20379, 17366, 16728, 18839, 16715, 16732, 16397, 16385, 16604, 16385, 19068, 16811, 16671, 16703, 16887, 17417, 16414, 16385, 16604, 16385, 64446, 42612, 16641, 30195, 16414, 16385, 16604, 16385, 16424, 16390, 16460, 16641, 39491, 16395, 16804, 16641, 30195, 47544, 16397, 16385, 16604, 16385, 16419, 16828, 20379, 23961, 16687, 16390, 16451, 16703, 23900, 16395, 16850, 16687, 19601, 16390, 16467, 16397, 16385, 16604, 16385, 19315, 16687, 17109, 16704, 16641, 16397, 16397, 16397, 16704, 16641, 19489, 16397, 16397, 16397, 16674, 16687, 17120, 16703, 16641, 22066, 39491, 16397, 16385, 16604, 16385, 24067, 16767, 16848, 16395, 22295, 16384, 16385, 16604, 16385, 16424, 16843, 16829, 16728, 16384, 16385, 16604, 16385, 16423, 17162, 16384, 16385, 16604, 16385, 23744, 16732, 16390, 16644, 23900, 16397, 16385, 16604, 16385, 19930, 16732, 20929, 16848, 16414, 16385, 16604, 16385, 26733, 16395, 16732, 25868, 17981, 16397, 16385, 16604, 16385, 18377, 16732, 16769, 16397, 16385, 16604, 16385, 23873, 49021, 16395, 16647, 33648, 16665, 19622, 16397, 16385, 16604, 16385, 18473, 16395, 16742, 18053, 16767, 17367, 16397, 16385, 16604, 16385, 16423, 17162, 16384, 16385, 16604, 16385, 23744, 16647, 33648, 16665, 19622, 54085, 16734, 20198, 16397, 16385, 16604, 16385, 23531, 16395, 22295, 16414, 16385, 16604, 16385, 50455, 21435, 16815, 16647, 22066, 30895, 16657, 16673, 23050, 16646, 16759, 16828, 20379, 16384, 16385, 16604, 16385, 16431, 16881, 52101, 16390, 16466, 33921, 39491, 16397, 16397, 16397, 32152, 16888, 17367, 24557, 16397, 16385, 16604, 16385, 16419, 16828, 20379, 16397, 16385, 16604, 16385, 19659, 18761, 16647, 34095, 16715, 16641, 21717, 16397, 16385, 16604, 16385, 16424, 16396, 16424, 16397, 16397, 16397, 16385, 16604, 16385, 16424, 16763, 16397, 16397, 16397, 16385, 16604, 16385, 49834, 16384, 16385, 16604, 16385, 17409, 16390, 16466, 16994, 16721, 16742, 16958, 16397, 16397, 16397, 16385, 16604, 16385, 21519, 16395, 42632, 16395, 22295, 50879, 17497, 29607, 16397, 16385, 16604, 16385, 21519, 16395, 16687, 17134, 16397, 16385, 16604, 16385, 23494, 20268, 16395, 30895, 16657, 16414, 16385, 16604, 16385, 18129, 16395, 16759, 16828, 20379, 16395, 17660, 16390, 16467, 16687, 18021, 16703, 18248, 16850, 16667, 26160, 30195, 47544, 16414, 16385, 16604, 16385, 19276, 16390, 16466, 16641, 18321, 30195, 16395, 30895, 16657, 16397, 16385, 16604, 16385, 20505, 17882, 16968, 16641, 19407, 23523, 16397, 16385, 16604, 16385, 21539, 16395, 22295, 16395, 16728, 19175, 16741, 17891, 16397, 16397, 16397, 16385, 16604, 16385, 16424, 16390, 16683, 17363, 16703, 16667, 26160, 30195, 47544, 17014, 16687, 16390, 16460, 16741, 17719, 16741, 16759, 16828, 20379, 16397, 16385, 16604, 16385, 18001, 16945, 16721, 16395, 17121, 16390, 16467, 16732, 16414, 16385, 16604, 16385, 20505, 16715, 16647, 17015, 16732, 16945, 17514, 16397, 16385, 16604, 16385, 27064, 16395, 17659, 16709, 16395, 22295, 16397, 16385, 16604, 16385, 16424, 20204, 16390, 16467, 21392, 23729, 57073, 16912, 32288, 16397, 16397, 16397, 16385, 16604, 16385, 35736, 16395, 16651, 16396, 16470, 16396, 24760, 16390, 16466, 16647, 18798, 16414, 16385, 16604, 16385, 23803, 16460, 17285, 16395, 22295, 16397, 16385, 16604, 16385, 30829, 16728, 16395, 19600, 16384, 16385, 16604, 16385, 18105, 16390, 16466, 16647, 18798, 16414, 16385, 16604, 16385, 22295, 50879, 16397, 16397, 16397, 16385, 16604, 16385, 30895, 16657, 16384, 16385, 16604, 16385, 18105, 16390, 16466, 17395, 16709, 16414, 16385, 16604, 16385, 16424, 16397, 16397, 16397, 16385, 16604, 16385, 16424, 17121, 16390, 16467, 17039, 16397, 16385, 16604, 16385, 18377, 16390, 16466, 17536, 18909, 16734, 22295, 50879, 16397, 16385, 16604, 16385, 18105, 16414, 16385, 16604, 16385, 21519, 16395, 19988, 16395, 25434, 16397, 16385, 16604, 16385, 53283, 16968, 19575, 16397, 16385, 16604, 16385, 17887, 16390, 16466, 16721, 16715, 16414, 16385, 16604, 16385, 24587, 22295, 50879, 17285, 16397, 16385, 16604, 16385, 16424, 17579, 17231, 16968, 24297, 21224, 16687, 16807, 16671, 16397, 16397, 16397, 16850, 17178, 16687, 17724, 16397, 16385, 16604, 16385, 44001, 16414, 16385, 16604, 16385, 30895, 16657, 16395, 17016, 16732, 16769, 16931, 16671, 17134, 16397, 16397, 16397, 16732, 17724, 17579, 26132, 16671, 18777, 16397, 16385, 16604, 16385, 35736, 50879, 16395, 16815, 16732, 16395, 16687, 16829, 21542, 17906, 16717, 16397, 16397, 16397, 19461, 16721, 24166, 20371, 16887, 20378, 16397, 16397, 16397, 38056, 21444, 20371, 16912, 18544, 16397, 16385, 16604, 16385, 54607, 16732, 17178, 17310, 21444, 40096, 16397, 16385, 16604, 16385, 30494, 16384, 16385, 16604, 16385, 16853, 33648, 16665, 19622, 16397, 16385, 16604, 16385, 20574, 16390, 16467, 39479, 16397, 16385, 16604, 16385, 17611, 16704, 26839, 16397, 16385, 16604, 16385, 16853, 19899, 23050, 41499, 17751, 16384, 16385, 16604, 16385, 17465, 16721, 16390, 16466, 16728, 16397, 16385, 16604, 16385, 16772, 19899, 23050, 41499, 17751, 16414, 16385, 16604, 16385, 17375, 22563, 24849, 16395, 30895, 16657, 16397, 16385, 16604, 16385, 17409, 16390, 16466, 16992, 25005, 16715, 28154, 16397, 16397, 16397, 16850, 16980, 16647, 33648, 16665, 19622, 17208, 17393, 16728, 16397, 16397, 16397, 16674, 39437, 17323, 17073, 17803, 16397, 16397, 16397, 18530, 17120, 17760, 17647, 17107, 16397, 16385, 16604, 16385, 17673, 16390, 16466, 22295, 50879, 16384, 16385, 16604, 16385, 17046, 20614, 16397, 16385, 16604, 16385, 30829, 16384, 16385, 16604, 16385, 18543, 16932, 16384, 16385, 16604, 16385, 18001, 17724, 19220, 17348, 16767, 18266, 16397, 16385, 16604, 16385, 28109, 22295, 50879, 16671, 16647, 25005, 44885, 16767, 16647, 22265, 16673, 16647, 42668, 23047, 16397, 16385, 16604, 16385, 60856, 16986, 16674, 17579, 18595, 16968, 16891, 18015, 16687, 17659, 16715, 16732, 16397, 16385, 16604, 16385, 60856, 16414, 16385, 16604, 16385, 18129, 17818, 16414, 16385, 16604, 16385, 26407, 16687, 19324, 16647, 20691, 16673, 22295, 50879, 16390, 16466, 17803, 16397, 16397, 16397, 16850, 17178, 16647, 33648, 16665, 19622, 16872, 22603, 16728, 16397, 16385, 16604, 16385, 17507, 17724, 17190, 17811, 16733, 17579, 20760, 16728, 16671, 17393, 16647, 19899, 23050, 41499, 17751, 16397, 16385, 16604, 16385, 16424, 16390, 16460, 16804, 23900, 16673, 16647, 33648, 16665, 19622, 16397, 16385, 16604, 16385, 22127, 16732, 16769, 16641, 17238, 38968, 25434, 16397, 16385, 16604, 16385, 18495, 16467, 18425, 28094, 16704, 17028, 19644, 16715, 16888, 23594, 16397, 16385, 16604, 16385, 21260, 19210, 16721, 16397, 16385, 16604, 16385, 20505, 16395, 17021, 16732, 16854, 16395, 16887, 20367, 16397, 16397, 16397, 16674, 17391, 17534, 16673, 19486, 16397, 16385, 16604, 16385, 23913, 32346, 16395, 16759, 16828, 20379, 16397, 16385, 16604, 16385, 16424, 17660, 16390, 16467, 18527, 16732, 16397, 16385, 16604, 16385, 18473, 17240, 16395, 16859, 18977, 16397, 16397, 16397, 16671, 17745, 16709, 16888, 18198, 30595, 16397, 16385, 16604, 16385, 21519, 16395, 19585, 16397, 16385, 16604, 16385, 21516, 16395, 16887, 24762, 16397, 16385, 16604, 16385, 51719, 16647, 19899, 23050, 41499, 17751, 16868, 16703, 21583, 16397, 16385, 16604, 16385, 30668, 23594, 17803, 16868, 18067, 17181, 16887, 45681, 16397, 16397, 16397, 16674, 16687, 19265, 17190, 16732, 16397, 16397, 16397, 16385, 16604, 16385, 16418, 24703, 16451, 17751, 19893, 16397, 16385, 16604, 16385, 21516, 16397, 16385, 16604, 16385, 21516, 16397, 16385, 16604, 16385, 21519, 16395, 19585, 16397, 16385, 16604, 16385, 22127, 16732, 16868, 27181, 16848, 16384, 16385, 16604, 16385, 20237, 16397, 16385, 16604, 16385, 21519, 16395, 16887, 24762, 16397, 16385, 16604, 16385, 18571, 17301, 16687, 16807, 42900, 16665, 16397, 16397, 16397, 16671, 16703, 16641, 21275, 16397, 16397, 16397, 18493, 46417, 18102, 16397, 16385, 16604, 16385, 16422, 21121, 16395, 22295, 50879, 16395, 16687, 17579, 19324, 16732, 17120, 18725, 45465, 16674, 17578, 16945, 16721, 16397, 16385, 16604, 16385, 16424, 17796, 16732, 16958, 16994, 16667, 26874, 30195, 16397, 16385, 16604, 16385, 16424, 16955, 17028, 18479, 16732, 16958, 16859, 18321, 16397, 16385, 16604, 16385, 16419, 16828, 20379, 16390, 16466, 17395, 16671, 16703, 22516, 16721, 16733, 17646, 16888, 19956, 16672, 16848, 16397, 16385, 16604, 16385, 21260, 16732, 18760, 16674, 17134, 16397, 16385, 16604, 16385, 20505, 17121, 16390, 16467, 16854, 43996, 16931, 16397, 16385, 16604, 16385, 18111, 17121, 16390, 16467, 16732, 22069, 16397, 16385, 16604, 16385, 32806, 18399, 16671, 16848, 16397, 16397, 16397, 16674, 17028, 16917, 16868, 16829, 16732, 16998, 21181, 16397, 16397, 16397, 16804, 17437, 16687, 16390, 16460, 17473, 16397, 16385, 16604, 16385, 18111, 16687, 17660, 16390, 16467, 17723, 16647, 33648, 16665, 19622, 16969, 18399, 16671, 16732, 16395, 22295, 16397, 16385, 16604, 16385, 16424, 16390, 16683, 19238, 16732, 16397, 16385, 16604, 16385, 16435, 32475, 16673, 23050, 16646, 16759, 16828, 20379, 16397, 16385, 16604, 16385, 16853, 22708, 39491, 16672, 16858, 62090, 52101, 16397, 16385, 16604, 16385, 16416, 18159, 21717, 16384, 16385, 16604, 16385, 23754, 16732, 16397, 16385, 16604, 16385, 23754, 16732, 16397, 16385, 16604, 16385, 23754, 16732, 16858, 16397, 16385, 16604, 16385, 18129, 17714, 16647, 17261, 16673, 16887, 30195, 22295, 50879, 17348, 16395, 16687, 16397, 16397, 16397, 16385, 16604, 16385, 35736, 50879, 16414, 16385, 16604, 16385, 23852, 16769, 16732, 16414, 16385, 16604, 16385, 35736, 50879, 16414, 16385, 16604, 16385, 21519, 16395, 17028, 16384, 16385, 16604, 16385, 35736, 16414, 16385, 16604, 16385, 35736, 50879, 16384, 16385, 16604, 16385, 19068, 16721, 16732, 16395, 22295, 16414, 16385, 16604, 16385, 24067, 17016, 16687, 16390, 16690, 17497, 16397, 16385, 16604, 16385, 30572, 16709, 16891, 16397, 16385, 16604, 16385, 21055, 16390, 16466, 16641, 26320, 16397, 16397, 16397, 16385, 16604, 16385, 16430, 17519, 16395, 17369, 37380, 16397, 16385, 16604 ]
[ 0, 16398, 16398, 34832, 16604, 16391, 16450, 16392, 16604, 16401, 16399, 16399, 16404, 16396, 16401, 16399, 16399, 16407, 21902, 16773, 51605, 16604, 16391, 19020, 16409, 16398, 16398, 23285, 16397, 16861, 36268, 16397, 16730, 16395, 19562, 16409, 16398, 16398, 29335, 16397, 16861, 36268, 16397, 16730, 16392, 16582, 16398, 16398, 16696, 16696, 16650, 16604, 16391, 16450, 16392, 16604, 16401, 16399, 16399, 16404, 16396, 16401, 16399, 16399, 16407, 20586, 23867, 23422, 16604, 16391, 19020, 16409, 16398, 16398, 18409, 16397, 16658, 16679, 44574, 16397, 17435, 16397, 48922, 16395, 20798, 23867, 16415, 16658, 16679, 44574, 16397, 17435, 16397, 48922, 16392, 16582, 16398, 16398, 16582, 16398, 16398, 22730, 16397, 16861, 36268, 16397, 16730, 16704, 32446, 19555, 27831, 17131, 16647, 19246, 16673, 16667, 39086, 16396, 22137, 23949, 16397, 16582, 16398, 16398, 17544, 20184, 16395, 17134, 16647, 22730, 16397, 16861, 36268, 16397, 16730, 20247, 18758, 16409, 19562, 16409, 16398, 16398, 23285, 16397, 16861, 36268, 16397, 16730, 16398, 16582, 16582, 16736, 16391, 20392, 16397, 16656, 44256, 16391, 33930, 16392, 16392, 16582, 16650, 23547, 16391, 16385, 49605, 29546, 16397, 22349, 21384, 17789, 22730, 16397, 16861, 36268, 16397, 16730, 16390, 19938, 16397, 22349, 22864, 16385, 16392, 16410, 16582, 16582, 17979, 42902, 16780, 19248, 16604, 16412, 16604, 16474, 16582, 16650, 39343, 17421, 16409, 16604, 16442, 16444, 16395, 16582, 16582, 16650, 25826, 16409, 17917, 16391, 26452, 16392, 16604, 16474, 16582, 16696, 17580, 16397, 39343, 17421, 16604, 16412, 16811, 16397, 39343, 17421, 16397, 59478, 16391, 18570, 16391, 16451, 16392, 16604, 16474, 17911, 16670, 16397, 26452, 16412, 16412, 16387, 16391, 26452, 16392, 16604, 16476, 16392, 16410, 16582, 16650, 16476, 16395, 16582, 16582, 16650, 18341, 16409, 17917, 16391, 26452, 16392, 16604, 16474, 16582, 16696, 26452, 16604, 16412, 16604, 16387, 16391, 26452, 16392, 16410, 16582, 16696, 17979, 19943, 16604, 16412, 25595, 16397, 39154, 16391, 16474, 16582, 16696, 16650, 32516, 21044, 16409, 16696, 18159, 16395, 16582, 16696, 16650, 57347, 19336, 16409, 19321, 16395, 16582, 16696, 16650, 31413, 16409, 16696, 16650, 19506, 16582, 16696, 16476, 16395, 24686, 16442, 16400, 16444, 16604, 16475, 16475, 16604, 16474, 16604, 16476, 16392, 16410, 16582, 16582, 16696, 16398, 16398, 31066, 35996, 16582, 16696, 16736, 16391, 23815, 16397, 24420, 16797, 16392, 16604, 16474, 16582, 16696, 16650, 23815, 16397, 16446, 24420, 16756, 16604, 16412, 16604, 16442, 16444, 16410, 16582, 16696, 16650, 17979, 60629, 16604, 16412, 19943, 16397, 24420, 16797, 16410, 16582, 16696, 16650, 16736, 16391, 20392, 16397, 56343, 16391, 24420, 16797, 16392, 16392, 16604, 16474, 16582, 16696, 16696, 24420, 16797, 16397, 32158, 16391, 17917, 16391, 16450, 16392, 16604, 16474, 19943, 16397, 16446, 24420, 16756, 16397, 24805, 16391, 16387, 16391, 16450, 16392, 16392, 16604, 16476, 16392, 16410, 16582, 16696, 16650, 16476, 18118, 16604, 16474, 16582, 16696, 16696, 23815, 16397, 16446, 24420, 16756, 16397, 24805, 16391, 16387, 16391, 24420, 16797, 16392, 16392, 16410, 16582, 16696, 16650, 16476, 16582, 16696, 16476, 16582, 16582, 16696, 16736, 16391, 23815, 16397, 30911, 16392, 19943, 16397, 30911, 16604, 16412, 16604, 16442, 23815, 16397, 30911, 16444, 16397, 42377, 17457, 16391, 16392, 16410, 16582, 16582, 16696, 22334, 16397, 28702, 29458, 16665, 16391, 26452, 16392, 16410, 16604, 16398, 16398, 19625, 41294, 16582, 16696, 23815, 16397, 26452, 16604, 16412, 20688, 16410, 16582, 16582, 16696, 17580, 16397, 39343, 17421, 16397, 24805, 16391, 23815, 16392, 16410, 16582, 16650, 16476, 16395, 16582, 16582, 16650, 24168, 41331, 16765, 27091, 16409, 17917, 16391, 39343, 17421, 16392, 16604, 16474, 16582, 16696, 36673, 16765, 16604, 16412, 29092, 16442, 16399, 16444, 16410, 16582, 16582, 16696, 17756, 16604, 16391, 16456, 16604, 16412, 16604, 16400, 16410, 17226, 16604, 16411, 29092, 16397, 20517, 16410, 16604, 16394, 16394, 16456, 16392, 16582, 16696, 16650, 16736, 16604, 16391, 22334, 16397, 16656, 29538, 16391, 39343, 17421, 16442, 16456, 16444, 16397, 26452, 16395, 44699, 16397, 26452, 16392, 16392, 16582, 16696, 16696, 36673, 16765, 16604, 16412, 29092, 16442, 16456, 16444, 16410, 16582, 16582, 16696, 17501, 44699, 16410, 16582, 16650, 16476, 16395, 16582, 16582, 16650, 16656, 19257, 18499, 16409, 17917, 16391, 26452, 16395, 21199, 16392, 16604, 16474, 16582, 16696, 17979, 60629, 22028, 16410, 16582, 16696, 16736, 16391, 29546, 16397, 31413, 16392, 16604, 16474, 16582, 16696, 16650, 24420, 16797, 22028, 16604, 16412, 20688, 16397, 31413, 22028, 16410, 16582, 16696, 16476, 18118, 16604, 16474, 16582, 16696, 16650, 24420, 16797, 22028, 16604, 16412, 20688, 16397, 54119, 16410, 16582, 16696, 16476, 16582, 16696, 17501, 21199, 16397, 16446, 24420, 16756, 16397, 25338, 16892, 16391, 18570, 16391, 16450, 16392, 16604, 16474, 17911, 60629, 22028, 16604, 16412, 16412, 16655, 16604, 16476, 16392, 16410, 16582, 16650, 16476, 16395, 16582, 16582, 16650, 16656, 16416, 21709, 16665, 16409, 17917, 16391, 20352, 16395, 20688, 16395, 21199, 16392, 16604, 16474, 16582, 16696, 17501, 16604, 16391, 16582, 16696, 16650, 16391, 29546, 16397, 26452, 16384, 16412, 26452, 16392, 16604, 16389, 16389, 16582, 16696, 16650, 16391, 16391, 16384, 29546, 16397, 16446, 24420, 16756, 16392, 16604, 16475, 16475, 16582, 16696, 16696, 17580, 16397, 16656, 19257, 18499, 16391, 26452, 16395, 21199, 16392, 16392, 16604, 16389, 16389, 16582, 16696, 16650, 16391, 16391, 16384, 29546, 16397, 30911, 16392, 16604, 16475, 16475, 16582, 16696, 16696, 16391, 22334, 16397, 19336, 28665, 16391, 26452, 16392, 16397, 25338, 16892, 16391, 16582, 16696, 16696, 16650, 18570, 16391, 16469, 16392, 16604, 16474, 17911, 21199, 16397, 30911, 16397, 23180, 16391, 16469, 16392, 16604, 16476, 16604, 16392, 16604, 16392, 16392, 16604, 16389, 16389, 16582, 16696, 16650, 29458, 16397, 50671, 16391, 29546, 16397, 26452, 16395, 17411, 16442, 16399, 16444, 16395, 17411, 16442, 16400, 16444, 16392, 16604, 16392, 16410, 16582, 16650, 16476, 16395, 16582, 16582, 16650, 17094, 55700, 16409, 17917, 16391, 29546, 16392, 16604, 16474, 16582, 16696, 16736, 16391, 29546, 16397, 57347, 19336, 16392, 16582, 16696, 16650, 22334, 16397, 53865, 18679, 16391, 29546, 16397, 26452, 16395, 21199, 16397, 57347, 19336, 16392, 16410, 16582, 16696, 17580, 16397, 22561, 16446, 21126, 16604, 16412, 19321, 16410, 16582, 16650, 16476, 16395, 16582, 16582, 16650, 55700, 16409, 17917, 16391, 29546, 16392, 16604, 16474, 16582, 16696, 16736, 16391, 29546, 16397, 57347, 19336, 16392, 16582, 16696, 16650, 22334, 16397, 46509, 18679, 16391, 29546, 16397, 26452, 16395, 21199, 16397, 57347, 19336, 16392, 16410, 16582, 16696, 17580, 16397, 22561, 16446, 21126, 16604, 16412, 21199, 16410, 16582, 16650, 16476, 16395, 16582, 16582, 16650, 24691, 16409, 17917, 16391, 20352, 16395, 20688, 16392, 16604, 16474, 16582, 16696, 16736, 16391, 16384, 17580, 16397, 39343, 17421, 16397, 20517, 16392, 17911, 16410, 16582, 16696, 17979, 21199, 16395, 22499, 16604, 16412, 16604, 16442, 16444, 16410, 16582, 16582, 16696, 17580, 16397, 39343, 17421, 16397, 32158, 16391, 17917, 16391, 29546, 16392, 16604, 16474, 16582, 16696, 16650, 16736, 16391, 16419, 16689, 16780, 19248, 16397, 16656, 16416, 21709, 16665, 16391, 20352, 16395, 20688, 16395, 21199, 16392, 16392, 16582, 16696, 16696, 47381, 16397, 24805, 16391, 29546, 16392, 16410, 16582, 16696, 16476, 16392, 16410, 16582, 16582, 16696, 16736, 16391, 47381, 16397, 20517, 16413, 16399, 16392, 16582, 16696, 16650, 29546, 16604, 16412, 42902, 16780, 19248, 16397, 24168, 41331, 16765, 27091, 16391, 47381, 16392, 16410, 16582, 16582, 16696, 16736, 16391, 17580, 16397, 22561, 16446, 21126, 16604, 16389, 16389, 16811, 16397, 22561, 16446, 21126, 16604, 16384, 16412, 21199, 16392, 16811, 16397, 17094, 55700, 16391, 17580, 16397, 22561, 16446, 21126, 16392, 16410, 16582, 16696, 16736, 16604, 16391, 29546, 16392, 16604, 16474, 16582, 16696, 16650, 29458, 16397, 50671, 16391, 29546, 16397, 26452, 16395, 17411, 16442, 16399, 16444, 16395, 17411, 16442, 16400, 16444, 16392, 16410, 16582, 16696, 16650, 16736, 16391, 29546, 16397, 16645, 16423, 18516, 16392, 16582, 16696, 16696, 29546, 16397, 16645, 16423, 18516, 16391, 26452, 16395, 21199, 16397, 26452, 16395, 40114, 16397, 18516, 46038, 16391, 29546, 16397, 18516, 46038, 16395, 21199, 16397, 26452, 16392, 16392, 16410, 16582, 16582, 16696, 16650, 16736, 16604, 16391, 29546, 16604, 16384, 16412, 16811, 16397, 22561, 16446, 21126, 16392, 42902, 16780, 19248, 16397, 55700, 16391, 29546, 16392, 16410, 16582, 16696, 16476, 16582, 16650, 16476, 16395, 16582, 16582, 16650, 24258, 16409, 17917, 16391, 24181, 16395, 20688, 16392, 16604, 16474, 16582, 16696, 16736, 16391, 16384, 17580, 16397, 22561, 16446, 21126, 16392, 17911, 16410, 16582, 16696, 29458, 16397, 52689, 16391, 16392, 16410, 16582, 16582, 16696, 16736, 16604, 16391, 17580, 16397, 16656, 16416, 21709, 16665, 16391, 16442, 21749, 16397, 43882, 16439, 16391, 24181, 16392, 16395, 25551, 16397, 43882, 16440, 16391, 24181, 16392, 16444, 16395, 20688, 16395, 16811, 16397, 22561, 16446, 21126, 16392, 16392, 16582, 16696, 16650, 16736, 16604, 16391, 17580, 16397, 22561, 16446, 21126, 16397, 16645, 41763, 16392, 16604, 16474, 16582, 16696, 16696, 17580, 16397, 22561, 16446, 21126, 16397, 16645, 41763, 16391, 26452, 16395, 16811, 16397, 22561, 16446, 21126, 16397, 26452, 16395, 18094, 16392, 16410, 16582, 16696, 16696, 17501, 18159, 16410, 16582, 16696, 16650, 16476, 16582, 16650, 16476, 16395, 16582, 16582, 16650, 37363, 16409, 17917, 16391, 16392, 16604, 16474, 16582, 16696, 16736, 16391, 17580, 16397, 22561, 16446, 21126, 16392, 16582, 16696, 16650, 17580, 16397, 17094, 55700, 16391, 17580, 16397, 22561, 16446, 21126, 16392, 16410, 16582, 16650, 16476, 16582, 16476, 16410, 16582, 16582, 17979, 28343, 17493, 19248, 16604, 16412, 16604, 16474, 16582, 16650, 28708, 18192, 16409, 16604, 16442, 16444, 16395, 16582, 16650, 17080, 18752, 17067, 16409, 16604, 16442, 16444, 16395, 16582, 16582, 16650, 31798, 16409, 17917, 16391, 28708, 17493, 16925, 16392, 16604, 16474, 16582, 16696, 16736, 16391, 17580, 16397, 28708, 18192, 16397, 20517, 16604, 16412, 16412, 16604, 16399, 16392, 16604, 16474, 16582, 16696, 16650, 17580, 16397, 24181, 39591, 20999, 16650, 16604, 16412, 16811, 16397, 16806, 45576, 16397, 28153, 17894, 44057, 16391, 17580, 16392, 16410, 16582, 16696, 16650, 17580, 16397, 24181, 39591, 36838, 16604, 16412, 16811, 16397, 25546, 45576, 16397, 28153, 17894, 44057, 16391, 17580, 16392, 16410, 16582, 16696, 16650, 17580, 16397, 24181, 23828, 17757, 17001, 16650, 16412, 16811, 16397, 18578, 31876, 16397, 28153, 17894, 44057, 16391, 17580, 16392, 16410, 16582, 16582, 16696, 16650, 21749, 16397, 17080, 57969, 16391, 26341, 16395, 16604, 16385, 37372, 16825, 16385, 16395, 16811, 16397, 24181, 39591, 20999, 16392, 16410, 16582, 16696, 16650, 21749, 16397, 17080, 57969, 16391, 26341, 16395, 16604, 16385, 37372, 32596, 16385, 16395, 16811, 16397, 24181, 39591, 36838, 16392, 16410, 16582, 16696, 16650, 21749, 16397, 17080, 57969, 16391, 26341, 16395, 16604, 16385, 16749, 17757, 17001, 16385, 16395, 16811, 16397, 24181, 23828, 17757, 17001, 16392, 16410, 16582, 16696, 16476, 16582, 16696, 17580, 16397, 28708, 18192, 16397, 24805, 16391, 28708, 17493, 16925, 16392, 16410, 16582, 16650, 16476, 16395, 16582, 16582, 16650, 16720, 31798, 16409, 17917, 16391, 28708, 17493, 16925, 16392, 16604, 16474, 16582, 16696, 17580, 16397, 28708, 18192, 16604, 16412, 16811, 16397, 28708, 18192, 16397, 59478, 16391, 18570, 16391, 16451, 16392, 16604, 16474, 17911, 16670, 16412, 16412, 28708, 17493, 16925, 16604, 16476, 16392, 16410, 16582, 16696, 16736, 16391, 17580, 16397, 28708, 18192, 16397, 20517, 16604, 16412, 16412, 16604, 16399, 16392, 16604, 16474, 16582, 16696, 16650, 21749, 16397, 25555, 33784, 31031, 16391, 26341, 16395, 16604, 16385, 37372, 16825, 16385, 16395, 16811, 16397, 24181, 39591, 20999, 16392, 16410, 16582, 16696, 16650, 21749, 16397, 25555, 33784, 31031, 16391, 26341, 16395, 16604, 16385, 37372, 32596, 16385, 16395, 16811, 16397, 24181, 39591, 36838, 16392, 16410, 16582, 16696, 16650, 21749, 16397, 25555, 33784, 31031, 16391, 26341, 16395, 16604, 16385, 16749, 17757, 17001, 16385, 16395, 16811, 16397, 24181, 23828, 17757, 17001, 16392, 16410, 16582, 16696, 16476, 16582, 16650, 16476, 16395, 16582, 16582, 16650, 55700, 16409, 17917, 16391, 28708, 17493, 16925, 16392, 16604, 16474, 16582, 16696, 16736, 16391, 28708, 17493, 16925, 16397, 23815, 16397, 49596, 16392, 16604, 16474, 16582, 16696, 16650, 17580, 16397, 16446, 41591, 16604, 16412, 17280, 34495, 16391, 18570, 16391, 16392, 16604, 16474, 16582, 16696, 16696, 42237, 17493, 19248, 16397, 16446, 41591, 16604, 16412, 19321, 16410, 16582, 16696, 16696, 29539, 16397, 39655, 16391, 16392, 16410, 16582, 16696, 16696, 42237, 17493, 19248, 16397, 21126, 42237, 17493, 16925, 16604, 16412, 18098, 17493, 16925, 16410, 16582, 16696, 16650, 16476, 16397, 28153, 16391, 17580, 16392, 16395, 18098, 17493, 16925, 16397, 23815, 16397, 49596, 16392, 16410, 16582, 16696, 16476, 18118, 16604, 16474, 16582, 16696, 16650, 29539, 16397, 39655, 16391, 16392, 16410, 16604, 16398, 16398, 20634, 17254, 17757, 17001, 19122, 16980, 21481, 18405, 16390, 16467, 19333, 21882, 16395, 28813, 16715, 50885, 16582, 16696, 16650, 17580, 16397, 21126, 42237, 17493, 16925, 16604, 16412, 18098, 17493, 16925, 16410, 16582, 16696, 16476, 16582, 16650, 16476, 16395, 16582, 16582, 16650, 17094, 55700, 16409, 17917, 16391, 16392, 16604, 16474, 16582, 16696, 17580, 16397, 21126, 42237, 17493, 16925, 16604, 16412, 19321, 16410, 16582, 16650, 16476, 16395, 16582, 16582, 16650, 25546, 45576, 16409, 17917, 16391, 24181, 16392, 16604, 16474, 16582, 16696, 16736, 16391, 16384, 17580, 16397, 21126, 42237, 17493, 16925, 16392, 17911, 16410, 16582, 16696, 17979, 39108, 16604, 16412, 16604, 16442, 21749, 16397, 43882, 16439, 16391, 24181, 16392, 16395, 25551, 16397, 43882, 16440, 16391, 24181, 16392, 16444, 16410, 16582, 16696, 16398, 16398, 37476, 21794, 16396, 19338, 48799, 18970, 42910, 27029, 32596, 19122, 16734, 16582, 16696, 16398, 16398, 16647, 17396, 35923, 16395, 19650, 17109, 17600, 18901, 19385, 16661, 16604, 16391, 22019, 16473, 24300, 16414, 16392, 16582 ]
[ 0, 32868, 16604, 16401, 16403, 16395, 16604, 16401, 16399, 16400, 16407, 16582, 16582, 17409, 16763, 16647, 38355, 16673, 16641, 16766, 38745, 16395, 16647, 60819, 16673, 16641, 19008, 20133, 16674, 16647, 29312, 16673, 17953, 32362, 16767, 18266, 16397, 17294, 16945, 16998, 27098, 20370, 16673, 17467, 16395, 20456, 48274, 18503, 16461, 27332, 16390, 16466, 18519, 16396, 39860, 16733, 17370, 20232, 17310, 16929, 21877, 16728, 20371, 18878, 16397, 17403, 19095, 16673, 26340, 28186, 16395, 16873, 47178, 16397, 16582, 16582, 18111, 47178, 16674, 47178, 16674, 47178, 16397, 16582, 16582, 26663, 17135, 16647, 16796, 18619, 16955, 17939, 16647, 19124, 16715, 53533, 16395, 16873, 16958, 17363, 33545, 16931, 27332, 16390, 16466, 24532, 18717, 16397, 22826, 17072, 16395, 17021, 16667, 16672, 26306, 17669, 16815, 22895, 16997, 17236, 63020, 16734, 17131, 17567, 22683, 17939, 16671, 16647, 18717, 16395, 16733, 16671, 16665, 16647, 29438, 16673, 16647, 19124, 16395, 21116, 16917, 36451, 16674, 16395, 16945, 18157, 31159, 25007, 16888, 41240, 16815, 16888, 29370, 16395, 19414, 16665, 16647, 19455, 16815, 16888, 27307, 16397, 16582, 16582, 16385, 17409, 19513, 16945, 16728, 16763, 17395, 19609, 17939, 16395, 16385, 27332, 17031, 16395, 16604, 16385, 19840, 17177, 16395, 16767, 16647, 17367, 17711, 16395, 16728, 45246, 17262, 16397, 16385, 16582, 16582, 16853, 19455, 30954, 16931, 16604, 16406, 16404, 20510, 17915, 16674, 21090, 23938, 17065, 16647, 18284, 16945, 16641, 34932, 16815, 29733, 16395, 20113, 37113, 16903, 16647, 16830, 16390, 41038, 19371, 16672, 16647, 17650, 16397, 17403, 16741, 45864, 16741, 16647, 18943, 16763, 16395, 21000, 16704, 17405, 16671, 16721, 19373, 16673, 33137, 41362, 16671, 17298, 18592, 16397, 16999, 16390, 16466, 17027, 17405, 16671, 32055, 16671, 22166, 17007, 16397, 17813, 20159, 16395, 17891, 16395, 16986, 16763, 17028, 27969, 18703, 16674, 18544, 20877, 16397, 22494, 26092, 16674, 17448, 16725, 16397, 16582, 16582, 60037, 16809, 27332, 16395, 16929, 24680, 16815, 16888, 32270, 16646, 16703, 17105, 24411, 16641, 17546, 16396, 30776, 16604, 16401, 16403, 18842, 16395, 16647, 16796, 18619, 16604, 16391, 16400, 16407, 16396, 16400, 16400, 16395, 16604, 16408, 16396, 16406, 48764, 36026, 23233, 16392, 19596, 51902, 16641, 16604, 16406, 16401, 16396, 16405, 16405, 17942, 16815, 17061, 52594, 17933, 16397, 16604, 16400, 16401, 47747, 16604, 16391, 16401, 16403, 16396, 16404, 16395, 16604, 16400, 16401, 16396, 16403, 28652, 16392, 16672, 16641, 17546, 16721, 16395, 26340, 16709, 16647, 23404, 16673, 23824, 16395, 51858, 16665, 16672, 16647, 18551, 23395, 16397, 17294, 16715, 16647, 17092, 17005, 16672, 17567, 18592, 16395, 16647, 51858, 18167, 16672, 21000, 16743, 16466, 19206, 16397, 16582, 16582, 16894, 17507, 18964, 16721, 16917, 16395, 17727, 16743, 16467, 16742, 16414, 16900, 21769, 22693, 20408, 17031, 16397, 16582, 16582, 57187, 17727, 16390, 16467, 17298, 17021, 16945, 16641, 16947, 46027, 16671, 17190, 16647, 19999, 16673, 16888, 17417, 16397, 17046, 16763, 16604, 16399, 16396, 17756, 16396, 16404, 17329, 16888, 17092, 35809, 16395, 16850, 16815, 16986, 16395, 16733, 17366, 18514, 16922, 24966, 16672, 16641, 21558, 16674, 21392, 16604, 16407, 16396, 17756, 16396, 16400, 16404, 16397, 16582, 16582, 17611, 16955, 17261, 16815, 16832, 42235, 35126, 16395, 16929, 18973, 16604, 16400, 16408, 18842, 16395, 16674, 55704, 16708, 36949, 19256, 16395, 16929, 17366, 16888, 17092, 17298, 16674, 26697, 16641, 19446, 16396, 25538, 16604, 16400, 16401, 18842, 16395, 18817, 38322, 16674, 16641, 17562, 16396, 25538, 17142, 49934, 16397, 20408, 39617, 36949, 19256, 16390, 16466, 18980, 16671, 16888, 17562, 16396, 24152, 39612, 16395, 16944, 16704, 17027, 17072, 36949, 19256, 22360, 16888, 40510, 16397, 16582, 16582, 16894, 17507, 18964, 16811, 17942, 16395, 16900, 16733, 17031, 16397, 16582, 16582, 16853, 16796, 18619, 30990, 16671, 18399, 18592, 17560, 16647, 17567, 16396, 24641, 23087, 34782, 16873, 21996, 17065, 20159, 16397, 22371, 19260, 16763, 16809, 18514, 18842, 16785, 26216, 16397, 23687, 16704, 17818, 16395, 17014, 16641, 43819, 16763, 18047, 16734, 16604, 16400, 16404, 16409, 16402, 16407, 17939, 16672, 16647, 17546, 16395, 18148, 25160, 16665, 16903, 16672, 16647, 16678, 44605, 16674, 31175, 16647, 17562, 16671, 16804, 17723, 16647, 17546, 32119, 17915, 16397, 16582, 16582, 16894, 24122, 17129, 16395, 16900, 20408, 40500, 16395, 16604, 16894, 19135, 16804, 17158, 16767, 16647, 25219, 16397, 17170, 16704, 16804, 16931, 21689, 16709, 16397, 16900, 16582, 16582, 17611, 18612, 21000, 16671, 18784, 27747, 16395, 16674, 16647, 16796, 18619, 17132, 16397, 17403, 47747, 17363, 25374, 16395, 16674, 16734, 16604, 16402, 16409, 16404, 16404, 16671, 17156, 16395, 16647, 37968, 23574, 16914, 17092, 17474, 16397, 16582, 16582, 16853, 17546, 19262, 16641, 25503, 20272, 16833, 16815, 16986, 16397, 16772, 17474, 20152, 18817, 18032, 16672, 17310, 18551, 19109, 16395, 16734, 27332, 30880, 17141, 16396, 16928, 16396, 18252, 16681, 21757, 16671, 17754, 16876, 16421, 26232, 23742, 16397, 19488, 16395, 16734, 16604, 16404, 16399, 22683, 17939, 16395, 16647, 16819, 31294, 16925, 16397, 16582, 16582, 47164, 20128, 20456, 17979, 16755, 16730, 44392, 48480, 17400, 17473, 16641, 36451, 16674, 18136, 16919, 16665, 16641, 26685, 19455, 16815, 16647, 16836, 44560, 16395, 23596, 16728, 20815, 16641, 44792, 16734, 16641, 17142, 16396, 20352, 17474, 16397, 16772, 25663, 21757, 17031, 16733, 28373, 16891, 16397, 16582, 16582, 21223, 16459, 16975, 20332, 16721, 44392, 17727, 16743, 16467, 18560, 16671, 18586, 16891, 16395, 16850, 16647, 17322, 23161, 22464, 16397, 47747, 26268, 16647, 17546, 16709, 16647, 56227, 27669, 16395, 16674, 16647, 32744, 19678, 16815, 16667, 25203, 16673, 29146, 16671, 16917, 16673, 34454, 16397, 16582, 16582, 18867, 16763, 19988, 38514, 16809, 16667, 16674, 16396, 16877, 16815, 35126, 16395, 16944, 19296, 16647, 16796, 18619, 16914, 18551, 17474, 16674, 18630, 20419, 17065, 16641, 17314, 28631, 47796, 16677, 16396, 17555, 59288, 16397, 16582, 16582, 16894, 16424, 19273, 16945, 16873, 16958, 16891, 16986, 16709, 16647, 19124, 16734, 16907, 16395, 16900, 16997, 17236, 63020, 17031, 16673, 16647, 18839, 40588, 22213, 16397, 16582, 16582, 30506, 17031, 16733, 19909, 16888, 17562, 16671, 18615, 16647, 17942, 16397, 17999, 17231, 16728, 16741, 29723, 16734, 17142, 19607, 16396, 26053, 45400, 17939, 16397, 17403, 16733, 17027, 17930, 16743, 16467, 17137, 16888, 19098, 16671, 36756, 16397, 17046, 37195, 16873, 20204, 16743, 16467, 30101, 22205, 17204, 16811, 18217, 16397, 16582, 16582, 16894, 16424, 18453, 16728, 18199, 16907, 17477, 17203, 16715, 16931, 16667, 20347, 16395, 16900, 20408, 17031, 16397, 16604, 16894, 17507, 17156, 16672, 53919, 18336, 16462, 23091, 16709, 20265, 18097, 16397, 16900, 16582, 16582, 32868, 16604, 16401, 16402, 16395, 16604, 16401, 16399, 16400, 16407, 16582, 16582, 25360, 17681, 18311, 16437, 49659, 16604, 17205, 16772, 21938, 19789, 16671, 16641, 16655, 64207, 24370, 16734, 28915, 31319, 16390, 16466, 21100, 24941, 16741, 16647, 51858, 16397, 16772, 21550, 16763, 16647, 35170, 16715, 16647, 16796, 18619, 16804, 16994, 16709, 16647, 18094, 16395, 16850, 16715, 16647, 18053, 16397, 18419, 21000, 17363, 16672, 18898, 16673, 17073, 21165, 21228, 16673, 16604, 16401, 16399, 16400, 16407, 16395, 17049, 17366, 16968, 17092, 17669, 17714, 18710, 16397, 19488, 16968, 18956, 19045, 16647, 17782, 16767, 16647, 17291, 16673, 16968, 17718, 17669, 16397, 16582, 16582, 43457, 16397, 16582, 16582, 18111, 16968, 18370, 20440, 16395, 16741, 17132, 16641, 27465, 16721, 17053, 17545, 17181, 16647, 32744, 16395, 23485, 16728, 16815, 16641, 19107, 16671, 16641, 30678, 16672, 16641, 17210, 16721, 17097, 16641, 19348, 22193, 16843, 16397, 16582, 16582, 16853, 18267, 21817, 20629, 16395, 16674, 48135, 33848, 20815, 31319, 16397, 19079, 49829, 17120, 16703, 19241, 16815, 18512, 21558, 16397, 17614, 19816, 16390, 16467, 17760, 16395, 16859, 16873, 21996, 16968, 16671, 16647, 43019, 18392, 16395, 16968, 18492, 25364, 16395, 16968, 35819, 16672, 22239, 16397, 16582, 16582, 16853, 18053, 16763, 18022, 17030, 16767, 16721, 17411, 16604, 17205, 17199, 17714, 31319, 16390, 16466, 21228, 16395, 16647, 17933, 16397, 16604, 16404, 16796, 18619, 31684, 16647, 25049, 17933, 16397, 16604, 16400, 16400, 33301, 47628, 16658, 26927, 16604, 16400, 16408, 16406, 16397, 16405, 16401, 16404, 16396, 16400, 16408, 16405, 16397, 16407, 16406, 16404, 16397, 17403, 20419, 17939, 16672, 18046, 27465, 17135, 16968, 18618, 16395, 16804, 22857, 16980, 31319, 16868, 18021, 26749, 17244, 16397, 16582, 16582, 16385, 16424, 17133, 16728, 16390, 16466, 16641, 17687, 17441, 18334, 16671, 17921, 16395, 16385, 21769, 42283, 30684, 17373, 17031, 16673, 31319, 16390, 16466, 22193, 16397, 31319, 16704, 16917, 16673, 17097, 17142, 17788, 16876, 16421, 49593, 25355, 16671, 16807, 24411, 16641, 19303, 16604, 16400, 16399, 16397, 16582, 16582, 16417, 19703, 16390, 16466, 18618, 16763, 16647, 17971, 16673, 16647, 18097, 16395, 16850, 16671, 16721, 17411, 16395, 16647, 16796, 18619, 16955, 26923, 16991, 29411, 63647, 16397, 16582, 16582, 47164, 16804, 17909, 17073, 21165, 21228, 16673, 16647, 18217, 16709, 16647, 18053, 16390, 16466, 17092, 18094, 16395, 41521, 16395, 16767, 16604, 16403, 16408, 16397, 16404, 16401, 16404, 16397, 19677, 26943, 31945, 16702, 22131, 16768, 16674, 18640, 16428, 19477, 16881, 19684, 16647, 16796, 18619, 17181, 16647, 18094, 16395, 26161, 16604, 16408, 16397, 16408, 16404, 16466, 16397, 16582, 16582, 18867, 17280, 16647, 25932, 16715, 16647, 18097, 16395, 16741, 16647, 16796, 18619, 17727, 16390, 16467, 21153, 16998, 18094, 24680, 16815, 16647, 16917, 17187, 31319, 21905, 16397, 16582, 16582, 25478, 16428, 19477, 16881, 16674, 40341, 31945, 16796, 16714, 18836, 21233, 16647, 29797, 20071, 16604, 16391, 16408, 16397, 16408, 16404, 16392, 16741, 17204, 16741, 16647, 26307, 20071, 16604, 16391, 16408, 16397, 16408, 16401, 16404, 16392, 16397, 58309, 16738, 27295, 17660, 16647, 21100, 16734, 16641, 16604, 16408, 16397, 16408, 16404, 16395, 16741, 17204, 16741, 16647, 16858, 17473, 16734, 16641, 16604, 16402, 16408, 16397, 16404, 16401, 16404, 16397, 16582, 16582, 16385, 37396, 16395, 16811, 17562, 17132, 16641, 24659, 17980, 16395, 16385, 30684, 17373, 17031, 16397, 17614, 18973, 16721, 31319, 16763, 19582, 16390, 16466, 16796, 17662, 16673, 16647, 17386, 16672, 16968, 20994, 31347, 18211, 16647, 18053, 16397, 16582, 16582, 16385, 19276, 16872, 16914, 17141, 16395, 16385, 30684, 17373, 18973, 16395, 16604, 16385, 16770, 16873, 16807, 16968, 17141, 16397, 16385, 16582, 16582, 16853, 18053, 18200, 17617, 16672, 16641, 28666, 16665, 16396, 16833, 16830, 16390, 41038, 19371, 16395, 16815, 16647, 35357, 16466, 16709, 16647, 29006, 16390, 26321, 16671, 16647, 20419, 16672, 16647, 23696, 16671, 16647, 49593, 25355, 16395, 16929, 30192, 28666, 16827, 16701, 17981, 16671, 22201, 24073, 16715, 23665, 20053, 16397, 16772, 23404, 16763, 18839, 27759, 16715, 16738, 27295, 16395, 20040, 38161, 46694, 16704, 16641, 42209, 16673, 16647, 20062, 16674, 16763, 16672, 31127, 16397, 16582, 16582, 16385, 16424, 16763, 19510, 16721, 17049, 16763, 17348, 16395, 16385, 16738, 27295, 17031, 16397, 16604, 16385, 21549, 17032, 19510, 16604, 17205, 16687, 16763, 25689, 22844, 16397, 16900, 16582, 16582, 47164, 16763, 57445, 20815, 16641, 18217, 16396, 27608, 21228, 18015, 16647, 21100, 46871, 16395, 17014, 36257, 16711, 65308, 24323, 47458, 28373, 16891, 16673, 37773, 16767, 16647, 17291, 16673, 16641, 16640, 34070, 17669, 16674, 18640, 16428, 19477, 16881, 43193, 16767, 16647, 17291, 16673, 16641, 17669, 16741, 17204, 16397, 21861, 24958, 16673, 16604, 16408, 16397, 16406, 16401, 16404, 16674, 16604, 16408, 16397, 16405, 16404, 16395, 22358, 16395, 16958, 21000, 16390, 16466, 17142, 22085, 24958, 16673, 16647, 18097, 16397, 16582, 16582, 22127, 31319, 18112, 16709, 16395, 16674, 16732, 17039, 16647, 17745, 16397, 17465, 17437, 21000, 22818, 16671, 16604, 16406, 16396, 16400, 16709, 16647, 18217, 16395, 19582, 16743, 16466, 18053, 19194, 16922, 19126, 16604, 17205, 18661, 16917, 17703, 16395, 16858, 16396, 42170, 18283, 16604, 17205, 17032, 23707, 16397, 16582, 16582, 32868, 16604, 16400, 16405, 16395, 16604, 16401, 16399, 16400, 16407, 16582, 16582, 25360, 17681, 18311, 16437, 49659, 16604, 17205, 21117, 26594, 38250, 16604, 17205, 21000, 16390, 16466, 16604, 16401, 16399, 16400, 16406, 43959, 16395, 19780, 18671, 23174, 42760, 16674, 17092, 16396, 20300, 40934, 37520, 18642, 16604, 17205, 16763, 17141, 16709, 16647, 29626, 17078, 16657, 28632, 54314, 16709, 19582, 16397, 21604, 16733, 17579, 18040, 17366, 16728, 16671, 16647, 33487, 16397, 16582, 16582, 16853, 37911, 16396, 23547, 16661, 16792, 27501, 20402, 19095, 30192, 38634, 16674, 16641, 16604, 16401, 16399, 16400, 16406, 20071, 16700, 16396, 18564, 18853, 16741, 16733, 27767, 16891, 16647, 61695, 17092, 24908, 16715, 21000, 16390, 16466, 18217, 16396, 40992, 17546, 17647, 16702, 61267, 16397, 16875, 16641, 40034, 18943, 16395, 36661, 44564, 21333, 17503, 16665, 16891, 16673, 16647, 37117, 16833, 23395, 18242, 16671, 17391, 26594, 38250, 16390, 16466, 19582, 18097, 20363, 16709, 16721, 54314, 16674, 16907, 16761, 16672, 16641, 17009, 18217, 16673, 21000, 26111, 16397, 16582, 16582, 16385, 17611, 19296, 16848, 16641, 17362, 18514, 16674, 18151, 16848, 17203, 20654, 16395, 16385, 44564, 17031, 16673, 26594, 38250, 16397, 17046, 17027, 21931, 16721, 16873, 26030, 23694, 16671, 17492, 16977, 17329, 21833, 16397, 36544, 18612, 16671, 18717, 16647, 16977, 16390, 16466, 24734, 16397, 16582, 16582, 52342, 16647, 17362, 18514, 16674, 21940, 16673, 18878, 17727, 16390, 16467, 16807, 16998, 20809, 17717, 16709, 44564, 16395, 16741, 16733, 31684, 16702, 61267, 16672, 20575, 33094, 16397, 16772, 29102, 16792, 27501, 20402, 25808, 16891, 20545, 16395, 23210, 16917, 16674, 20095, 17028, 23981, 21435, 16672, 21000, 16390, 16466, 16604, 16406, 16396, 16400, 20994, 16396, 21236, 17942, 16397, 16582, 16582, 18111, 20670, 17154, 32569, 18444, 16395, 44564, 21035, 16604, 16401, 16403, 17092, 16396, 16463, 18565, 30586, 16671, 16647, 16604, 16401, 16403, 19045, 17500, 16733, 25292, 16397, 16582, 16582, 16385, 18867, 16390, 16466, 16647, 16917, 17792, 16687, 18612 ]
[ 0, 38194, 16582, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16582, 16582, 16433, 17194, 16452, 16582, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16582, 16582, 36150, 17417, 18019, 16704, 16641, 37145, 16795, 16673, 18237, 56536, 16672, 19902, 16395, 21336, 16395, 16674, 18237, 17204, 16396, 26345, 16604, 16443, 16442, 16442, 16415, 18452, 16400, 16444, 16396, 16442, 16415, 18452, 16405, 16444, 16443, 16444, 16397, 23493, 19006, 16672, 26158, 16769, 16922, 18715, 16671, 25873, 16815, 37552, 16674, 17730, 19153, 16395, 16674, 25344, 32858, 16843, 25909, 34330, 16674, 33645, 16673, 17213, 19153, 16604, 16443, 16442, 16442, 16415, 18452, 16406, 16444, 16396, 16442, 16415, 18452, 16400, 16401, 16444, 16443, 16444, 16397, 16772, 21270, 17913, 16704, 26498, 16671, 20114, 16674, 19077, 16641, 25344, 26536, 16409, 16647, 16604, 16393, 31094, 30186, 24509, 17605, 19969, 16729, 16393, 16604, 16391, 16429, 16389, 16422, 16392, 19289, 16674, 29442, 16709, 17486, 18356, 16395, 19091, 16395, 17730, 16395, 16674, 17204, 16396, 26345, 16395, 16944, 19497, 16647, 22698, 34764, 24082, 16604, 16391, 16424, 18759, 16392, 16721, 20634, 16793, 16389, 16422, 23072, 16671, 32941, 20114, 16395, 16674, 29856, 16647, 16793, 16389, 16422, 36034, 16671, 19077, 16395, 16647, 19014, 21233, 16709, 16647, 16793, 16389, 16422, 19289, 16674, 29442, 16397, 16582, 16582, 50566, 16734, 18229, 19091, 16674, 18229, 20638, 16395, 17348, 24601, 23541, 16671, 16741, 19326, 16734, 18229, 55705, 20584, 16604, 16391, 16434, 18311, 16392, 16395, 22484, 16807, 16641, 18229, 37225, 17743, 16604, 16391, 30017, 19629, 16671, 29799, 16395, 17967, 16395, 26828, 16395, 16674, 17231, 19517, 17624, 16392, 16397, 26773, 40067, 37225, 17743, 16704, 20278, 49009, 16671, 17486, 17730, 16409, 16641, 18229, 37225, 17743, 16704, 19970, 16734, 21312, 17730, 20584, 16395, 29144, 40444, 17730, 17534, 16395, 16674, 50610, 49257, 17730, 20937, 16674, 18171, 16396, 39653, 16673, 17730, 19153, 16604, 16443, 16442, 16442, 16415, 18452, 16400, 16402, 16444, 16396, 16442, 16415, 18452, 16401, 16402, 16444, 16443, 16444, 16397, 16582, 16582, 43671, 16674, 20638, 16769, 16647, 17154, 17889, 16702, 18311, 34587, 16395, 16674, 18226, 16395, 16873, 16769, 24906, 19970, 16734, 17486, 17730, 20584, 16604, 16443, 16442, 16442, 16415, 18452, 16401, 16403, 16444, 16395, 16442, 16415, 18452, 16401, 16404, 16444, 16443, 16444, 16397, 21937, 16671, 18147, 16709, 17624, 16396, 61477, 20937, 16395, 19326, 16734, 18229, 16702, 18311, 16807, 20580, 17624, 18467, 17032, 19326, 16734, 17362, 16702, 18311, 16604, 16443, 16442, 16442, 16415, 18452, 16401, 16405, 16444, 16443, 16444, 16397, 16772, 17231, 16673, 17362, 16396, 29606, 18693, 17624, 16843, 19077, 18950, 16673, 17417, 16674, 16807, 19508, 17797, 16395, 19799, 16395, 16674, 18237, 28563, 16709, 18229, 16396, 16434, 18311, 19326, 16395, 17789, 37307, 16674, 28392, 19326, 16604, 16443, 16442, 16442, 16415, 18452, 16401, 16406, 16444, 16396, 16442, 16415, 18452, 16402, 16400, 16444, 16443, 16444, 16397, 19568, 16396, 29606, 17624, 16674, 37225, 16396, 21670, 32858, 16843, 21033, 31359, 21065, 16674, 27286, 16671, 17730, 23816, 16395, 19031, 19461, 16674, 18171, 16396, 16452, 18428, 18440, 16395, 16674, 19077, 17730, 16604, 16443, 16442, 16442, 16415, 18452, 16400, 16405, 16444, 16396, 16442, 16415, 18452, 16400, 16408, 16444, 16395, 16442, 16415, 18452, 16402, 16401, 16444, 16396, 16442, 16415, 18452, 16403, 16406, 16444, 16443, 16444, 16397, 16582, 16582, 16429, 16389, 16422, 16604, 16443, 16442, 16442, 16415, 18452, 16403, 16407, 16444, 16443, 16444, 16704, 16641, 19289, 21191, 16815, 18797, 21726, 16721, 19522, 17362, 16396, 29606, 17624, 16604, 16391, 19338, 16709, 18147, 24903, 21308, 16674, 43117, 16809, 23282, 16392, 16709, 17486, 18356, 16395, 19091, 16395, 17730, 16395, 16674, 17204, 16396, 26345, 16397, 16793, 16389, 16422, 20239, 16843, 18291, 23084, 16673, 17624, 22177, 16604, 16391, 16400, 19242, 16972, 22573, 16392, 16721, 16769, 25095, 16672, 18702, 17585, 25796, 16395, 28474, 16815, 26624, 16671, 16647, 18702, 16673, 16604, 16407, 17202, 16397, 16793, 16389, 16422, 17027, 28549, 16641, 26226, 29442, 16671, 17564, 19326, 16395, 17789, 17310, 16734, 16641, 18229, 37225, 17743, 16395, 17961, 17968, 17131, 16647, 18702, 16673, 16604, 16407, 17202, 16397, 16582, 16582, 16429, 16389, 16422, 43565, 16734, 33998, 16815, 64962, 18059, 16671, 38155, 16674, 19682, 16647, 16687, 18759, 16671, 32941, 20114, 16674, 19077, 19014, 21233, 16709, 16647, 16793, 16389, 16422, 19289, 16674, 29442, 16604, 16443, 16442, 16442, 16415, 18452, 16403, 16408, 16444, 16396, 16442, 16415, 18452, 16404, 16402, 16444, 16443, 16444, 16397, 16875, 18089, 16734, 16647, 22755, 50992, 16673, 19218, 20468, 16604, 16391, 35433, 28315, 16392, 16390, 16466, 35083, 16604, 16443, 16442, 16442, 16415, 18452, 16404, 16403, 16444, 16443, 16444, 16395, 16647, 16687, 18759, 16704, 16641, 19461, 27554, 19349, 16715, 24571, 16793, 16389, 16422, 17624, 17231, 16395, 16674, 17073, 19032, 16709, 19326, 16704, 23975, 16809, 19272, 17730, 16398, 20581, 16396, 26345, 20431, 16397, 16999, 16704, 17027, 54197, 18521, 25874, 16809, 31771, 19326, 16671, 25566, 16734, 16793, 16389, 16422, 36034, 16809, 20557, 23883, 16709, 16647, 17624, 19014, 16397, 16772, 16687, 18759, 41510, 19497, 16604, 16406, 19126, 16604, 16391, 20110, 21507, 16925, 23707, 16674, 16604, 16401, 19166, 27696, 16392, 16395, 22764, 20239, 16671, 18960, 16709, 16647, 34273, 17194, 37024, 16395, 29166, 16398, 18245, 39956, 19032, 16395, 25464, 16671, 17231, 16674, 19272, 20431, 16673, 18462, 17624, 19014, 16604, 16391, 16429, 16389, 16422, 17624, 19242, 16392, 16395, 16674, 19666, 20386, 16397, 16582, 16582, 24480, 17038, 25805, 21876, 16604, 16391, 31259, 16604, 16400, 16395, 16604, 16401, 16399, 16400, 16403, 16395, 16671, 19137, 16604, 16402, 16400, 16395, 16604, 16401, 16399, 16400, 16405, 16392, 16395, 16742, 23980, 16604, 16402, 16403, 16395, 16399, 16401, 16400, 16687, 18759, 28084, 16604, 16391, 17070, 42012, 16687, 18759, 62178, 16392, 16815, 19326, 16395, 31793, 16395, 16674, 23816, 16604, 16391, 49919, 16395, 17730, 16395, 16674, 18237, 18373, 16392, 16929, 17337, 16793, 16389, 16422, 19014, 16397, 16875, 18089, 16734, 19831, 16709, 18237, 56536, 16672, 22183, 17624, 17231, 16604, 16443, 16442, 16442, 16415, 18452, 16404, 16404, 16444, 16396, 16442, 16415, 18452, 16405, 16400, 16444, 16443, 16444, 16395, 16647, 29311, 19335, 16673, 17213, 28084, 22130, 16641, 18237, 39429, 16409, 18229, 16396, 16434, 18311, 19326, 17131, 16893, 16793, 16389, 16422, 16674, 16647, 16687, 18759, 16604, 16391, 16442, 23236, 16604, 16400, 16444, 16391, 16386, 24611, 16400, 16392, 16474, 18452, 16396, 18926, 16412, 16385, 19327, 16385, 16476, 16392, 16397, 28992, 17027, 24483, 16721, 18229, 16396, 16434, 18311, 19326, 16769, 16922, 18715, 16671, 17556, 27364, 35322, 16674, 19800, 22926, 16741, 16641, 17539, 16673, 17655, 16793, 16389, 16422, 17624, 16604, 16443, 16442, 16442, 16415, 18452, 16404, 16399, 16444, 16443, 16444, 16397, 17664, 16704, 16641, 17109, 16671, 17967, 16811, 39429, 16671, 19077, 16793, 16389, 16422, 19014, 16674, 20378, 18229, 16396, 16434, 18311, 19326, 16674, 16641, 17109, 16671, 22597, 17072, 16647, 17231, 16673, 19461, 44183, 17065, 17730, 16674, 17204, 16396, 26345, 25178, 16715, 18229, 16396, 16434, 18311, 19326, 16674, 17968, 16397, 16582, 16582, 16384, 16442, 33777, 39429, 16672, 37998, 16604, 16393, 31094, 30186, 24509, 17605, 19969, 16729, 16393, 16604, 16391, 16429, 16389, 16422, 16392, 17624, 16734, 22698, 34764, 24082, 16604, 16391, 16424, 18759, 16392, 16397, 16711, 30424, 23294, 16647, 18804, 17679, 16673, 16687, 18759, 28084, 21443, 16809, 16858, 16793, 16389, 16422, 29442, 38245, 19006, 17989, 16647, 49878, 19484, 19147, 16673, 16641, 22755, 17610, 16967, 16673, 29663, 18705, 52124, 16397, 17664, 16704, 16641, 20809, 25544, 18774, 16741, 19147, 16734, 18846, 54873, 16807, 16641, 19251, 28167, 16673, 29442, 28084, 16398, 19541, 28911, 16756, 16397, 16772, 28667, 37488, 16704, 31949, 16397, 16403, 16401, 16604, 16391, 16393, 16431, 16393, 16443, 16411, 16397, 16399, 16399, 16400, 16392, 16397, 16444, 16391, 16791, 17491, 16467, 16446, 16469, 16406, 16456, 16400, 16400, 16452, 16400, 16407, 16405, 16446, 19327, 16400, 16392, 16474, 16386, 24611, 16400, 16476, 16582, 16582, 21010, 16666, 16674, 25595, 17447, 16582, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16582, 16582, 17635, 18077, 16604, 16391, 41718, 25022, 16392, 16872, 16992, 19193, 28292, 16809, 33044, 28315, 16397, 17376, 16972, 33044, 28315, 16390, 16466, 23208, 16673, 19461, 27554, 16604, 16391, 16385, 25220, 17047, 21582, 16673, 19461, 16674, 46060, 19461, 17231, 16671, 19077, 17730, 16385, 16392, 16604, 16443, 16442, 16442, 16415, 18452, 16405, 16401, 16444, 16443, 16444, 16395, 17038, 19708, 16704, 16671, 19077, 17072, 18229, 16396, 16434, 18311, 19326, 24708, 16734, 16674, 17231, 18693, 17624, 16931, 17486, 18356, 16395, 19091, 16395, 17730, 16395, 16674, 17204, 16396, 26345, 16410, 18212, 17072, 16811, 22564, 16715, 19461, 22254, 44183, 16671, 22818, 17730, 16674, 17204, 16396, 26345, 25178, 16715, 18229, 16396, 16434, 18311, 19326, 16674, 16914, 17968, 16410, 16674, 22597, 16914, 24375, 16734, 22183, 36034, 16671, 21449, 19014, 16604, 16391, 46660, 16715, 26538, 16390, 19014, 16392, 16397, 17813, 16647, 20445, 16673, 16647, 16793, 16389, 16422, 17562, 16443, 16390, 16466, 16604, 16391, 17347, 20350, 16674, 16604, 16401, 22367, 52831, 16392, 19126, 16674, 17655, 16647, 36504, 16396, 16928, 16396, 25493, 24819, 16604, 16443, 16442, 16442, 16415, 18452, 16405, 16402, 16444, 16443, 16444, 16395, 16742, 21487, 16604, 16403, 18147, 28480, 16409, 16582, 16582, 16396, 16650, 60535, 16604, 16400, 16409, 34164, 17940, 18229, 16396, 16434, 18311, 19326, 16390, 21855, 16709, 30858, 16674, 24397, 18619, 16671, 40444, 16395, 20287, 16395, 16674, 17655, 16793, 16389, 16422, 17624, 19014, 16674, 16671, 40192, 16734, 16793, 16389, 16422, 36034, 19565, 16647, 16687, 18759, 16397, 16582, 16582, 16396, 16650, 60535, 16604, 16401, 16409, 46141, 16793, 16389, 16422, 19014, 16398, 47504, 16674, 16647, 16687, 18759, 19349, 16604, 16391, 20855, 16396, 45538, 17802, 16392, 16671, 21033, 30858, 16674, 41209, 24397, 18619, 21766, 16672, 21876, 16604, 16400, 16674, 19682, 17009, 25549, 34475, 16793, 16389, 16422, 16394, 16674, 16687, 18759, 16394, 16397, 16582, 16582, 16396, 16650, 60535, 16604, 16402, 16409, 55416, 19966, 18515, 16793, 16389, 16422, 16394, 16674, 16687, 18759, 16394, 17539, 16672, 16641, 18846, 28167, 16673, 18229, 16396, 16434, 18311, 19326, 27510, 16734, 16647, 16793, 16389, 16422, 18758, 16674, 16647, 19014, 19194, 16674, 40192, 16734, 36034, 19565, 16647, 16687, 18759, 16397, 16582, 16582, 16396, 16650, 60535, 16604, 16403, 16409, 19390, 21953, 17072, 19272, 17730, 16674, 17204, 16396, 26345, 20431, 16673, 16793, 16389, 16422, 16394, 17624, 17231, 16604, 16391, 47344, 19565, 16687, 18759, 16394, 16392, 16769, 21877, 16809, 19326, 16734, 18229, 16702, 18311, 16674, 16914, 17968, 16397, 16582, 16582, 23853, 17957, 35967, 21242, 16674, 61719, 22678, 26712, 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, 16582, 16582, 16853, 32888, 24893, 44155, 16604, 16391, 16429, 31164, 16392, 19684, 16641, 33044, 28315, 16396, 41355, 33444, 18603, 16674, 21270, 16641, 24632, 38625, 17521, 18518, 17595, 16673, 16604, 16391, 16400, 16392, 25178, 19970, 16734, 16647, 17231, 16673, 18693, 23192, 17730, 17624, 16674, 16604, 16391, 16401, 16392, 19527, 16604, 16391, 35847, 16674, 20078, 16392, 19868, 16671, 17213, 25178, 16604, 16443, 16442, 16442, 16415, 18452, 16405, 16403, 16444, 16396, 16442, 16415, 18452, 16405, 16406, 16444, 16443, 16444, 16397, 16711, 18804, 16673, 16604, 16405, 16407, 19831, 16958, 28060, 17655, 24819, 33319, 16604, 16443, 16442, 16442, 16415, 18452, 16405, 16407, 16444, 16395, 16442, 16415, 18452, 16405, 16408, 16444, 16443, 16444, 16397, 17170, 33319, 16763, 18138, 16709, 16667, 20808, 24819, 26552, 16815, 17624, 19831, 16604, 16443, 16442, 16442, 16415, 18452, 16403, 16408, 16444, 16395, 16442, 16415, 18452, 16406, 16399, 16444, 16396, 16442, 16415, 18452, 16406, 16407, 16444, 16443, 16444, 16674, 19684, 16671, 32889, 16667, 25002, 30496, 18528, 16604, 16391, 16442, 23236, 16604, 16401, 16444, 16391, 16386, 24611, 16401, 16392, 16474, 18452, 16396, 18926, 16412, 16385, 19327, 16385, 16476, 16392, 16604, 16443, 16442, 16442, 16415, 18452, 16405, 16405, 16444, 16395, 16442, 16415, 18452, 16405, 16406, 16444, 16443, 16444, 16397, 17170, 18528, 19497, 19508, 16674, 20809, 17730, 25178, 16673, 18693, 23192, 17730, 17624, 16672, 16641, 20618, 17534, 20409, 16674, 16704, 16604, 16391, 35016, 16392, 23192, 38132, 16397, 16582, 16582, 16853, 18528, 29320, 16604, 16400, 16402, 17736, 26417, 16604, 16391, 16403, 16401, 20671, 16674, 25178, 16392, 16674, 16868, 16703, 17405, 16672, 16811, 18077, 16671, 20391, 17586, 20555, 16674, 19335, 16395, 16715, 18185, 16395, 16647, 21876, 16604, 16400, 41161, 19724, 22047, 16674, 23440, 16802, 59065, 19335, 16397, 16772, 18528, 16868, 24448, 16671, 21177, 16641, 22835, 16673, 19591, 37142, 26951, 25178, 16673, 17624, 16604, 16391, 28124, 16741, 17730, 25178, 16392, 16395, 47950, 16936, 25178, 16604, 16391, 28124, 16741, 29166, 19032, 16673, 17624, 16392, 16395, 16674, 19527, 19970, 16734, 25178, 16604, 16391, 35016, 18467, 16674, 22963, 31585, 16674, 52530, 20671, 16392, 16397, 16582, 16582, 16384, 16442, 16853, 16779, 22678, 18528, 16397, 16444, 16391, 16791, 17491, 16467, 16446, 16469, 16406, 16456, 16400, 16400, 16452, 16400, 16407, 16405, 16446, 19327, 16401, 16392, 16474, 16386, 24611, 16401, 16476, 16582, 16582, 16386, 16386, 16386, 20603, 22757, 16582, 16582, 16853, 18528, 19497, 16667, 35053, 17743, 16673, 17624, 24637, 16604, 16391, 21267, 16395, 19800, 16785, 27364, 17231, 16673, 17730, 18373 ]
[ 0, 16582, 16400, 16400, 16408, 16773, 16397, 23182, 16397, 16401, 16451, 16604, 16403, 16407, 16404, 16604, 16391, 16401, 16399, 16399, 16399, 16392, 16582, 45617, 26866, 52551, 18743, 16427, 16395, 51643, 16646, 16582, 16469, 16397, 16582, 19806, 16428, 19075, 16433, 22927, 21828, 16793, 17841, 20146, 18189, 35006, 22927, 49449, 26964, 16395, 64518, 16582, 19084, 16397, 16604, 16403, 16409, 46075, 16396, 16408, 16408, 16396, 16400, 16407, 16406, 16408, 16397, 16582, 32384, 18644, 21599, 19758, 16395, 16727, 16397, 16419, 16397, 26385, 16397, 16582, 31460, 16604, 16402, 16395, 16604, 16401, 16399, 16399, 16399, 16397, 16582, 16434, 29932, 16790, 16397, 45315, 16395, 18533, 16395, 25719, 16395, 16715, 52728, 16397, 16582, 48958, 16790, 16397, 16727, 16756, 16455, 23720, 16395, 29427, 18303, 18644, 27330, 16395, 27518, 20455, 16395, 25719, 16395, 16715, 48138, 16397, 16582, 16582, 55423, 18092, 23849, 22598, 16582, 25478, 22695, 27310, 16395, 21599, 27735, 16397, 16582, 16582, 48420, 26517, 35049, 16409, 16582, 18301, 19191, 16604, 16401, 16401, 16395, 16604, 16400, 16408, 16408, 16408, 16395, 52728, 26016, 26866, 27445, 16395, 23519, 16764, 16783, 16395, 45686, 16811, 18865, 16809, 27939, 16641, 19730, 18214, 16680, 20092, 16604, 16385, 61879, 16715, 22106, 16398, 18701, 18608, 17131, 16604, 16401, 16407, 16876, 16397, 16434, 16397, 16418, 16397, 16604, 16442, 25660, 16444, 16604, 16401, 16401, 16403, 16400, 16397, 16385, 27445, 16704, 16641, 23389, 16674, 28441, 16673, 43076, 16929, 16704, 19333, 16641, 46706, 17906, 16673, 16647, 38380, 16674, 28086, 17873, 21082, 16604, 16391, 34969, 16392, 16397, 17046, 16704, 18910, 16671, 16641, 18551, 17970, 16604, 16393, 16403, 16407, 16405, 16673, 57278, 21946, 19293, 16604, 16402, 16395, 16604, 16400, 16408, 16408, 16406, 16395, 16850, 54878, 16872, 16804, 16992, 17914, 16671, 17717, 19966, 16647, 57278, 16395, 23597, 18443, 16671, 19751, 18865, 16709, 16647, 17015, 16673, 43076, 16397, 22174, 16923, 21303, 16697, 22039, 16395, 27445, 29196, 19578, 16709, 22106, 32501, 16888, 27489, 16397, 16582, 25379, 16647, 19124, 16704, 16647, 17556, 16674, 29896, 16673, 16876, 16397, 16434, 16397, 20981, 49059, 27735, 21902, 16727, 16397, 42699, 16470, 17075, 16395, 16944, 38743, 16721, 16647, 27182, 16703, 26358, 16397, 16582, 16582, 41964, 16418, 56913, 19429, 16409, 16582, 16582, 16424, 16397, 20596, 23849, 28006, 16582, 16416, 20991, 19124, 16704, 19062, 16671, 18603, 16774, 65424, 17310, 32756, 16673, 16641, 19538, 49059, 22948, 16390, 16466, 17556, 16671, 16944, 45866, 16769, 17366, 16397, 34712, 16673, 23191, 16448, 16397, 16776, 16397, 18303, 18644, 16395, 16604, 16404, 16407, 16400, 16773, 16397, 23182, 16397, 16604, 16400, 16401, 16402, 16407, 16395, 16604, 16400, 16401, 16402, 16408, 16604, 16391, 16428, 16397, 16419, 16397, 37171, 16397, 16400, 16408, 16407, 16403, 16392, 16410, 16604, 16401, 16407, 16876, 16397, 16434, 16397, 16418, 16397, 16604, 25660, 16604, 16405, 16402, 16405, 16391, 16449, 16392, 16391, 16400, 16392, 16397, 18196, 17028, 45866, 16769, 23165, 16671, 16647, 17556, 16673, 16641, 19538, 49059, 22948, 16395, 16641, 19124, 16872, 34100, 16671, 18603, 16721, 17556, 16741, 16728, 16774, 18927, 21286, 16397, 16711, 19538, 49059, 22948, 16390, 16466, 21311, 16785, 26887, 16709, 16641, 22846, 16785, 18710, 23296, 21083, 16647, 21689, 16673, 16647, 19124, 21224, 45866, 16769, 23165, 16397, 21902, 16776, 16397, 33585, 16395, 16604, 16403, 16406, 16403, 16876, 16397, 16434, 16397, 16604, 16400, 16403, 16399, 16395, 16604, 16400, 16399, 16405, 16702, 16397, 52174, 16397, 16604, 16403, 16405, 16405, 16395, 16604, 16407, 16407, 16790, 16397, 20582, 16397, 16401, 16451, 16604, 16403, 16402, 16404, 16604, 16391, 16400, 16408, 16407, 16404, 16392, 16397, 18523, 16395, 16647, 20991, 19124, 17123, 16804, 21172, 16641, 22846, 16715, 25698, 25926, 16395, 29142, 16397, 16433, 16397, 16418, 16821, 16397, 16431, 16397, 16604, 16404, 16405, 16395, 16785, 16641, 22846, 16671, 25156, 17131, 29142, 16397, 16433, 16397, 16418, 16821, 16397, 16431, 16397, 16604, 16400, 16401, 16391, 16449, 16392, 16391, 16405, 16392, 29885, 17172, 16647, 22846, 16704, 16819, 32752, 17737, 16410, 17274, 43506, 16769, 18910, 16671, 18603, 16715, 36058, 16397, 48969, 20995, 16776, 16397, 38341, 65397, 19036, 42109, 16395, 16604, 16408, 16404, 16400, 16773, 16397, 16401, 16451, 16604, 16401, 16408, 16395, 16604, 16402, 16399, 16604, 16391, 16402, 16451, 32726, 16397, 16604, 16400, 16408, 16408, 16400, 16392, 16410, 58464, 20621, 37213, 16776, 16397, 22230, 30095, 20738, 16673, 24767, 21242, 16395, 16604, 16408, 16401, 16401, 16773, 16397, 16401, 16451, 16604, 16400, 16405, 16407, 16395, 16604, 16400, 16406, 16403, 16604, 16391, 16402, 16451, 32726, 16397, 16400, 16408, 16408, 16399, 16392, 16397, 16582, 44616, 16872, 23165, 45866, 16671, 16647, 17556, 16674, 29896, 16944, 16742, 18603, 16774, 65424, 16397, 16582, 16582, 19311, 16397, 42576, 38681, 21256, 62807, 21653, 21828, 63285, 18525, 20146, 18189, 16751, 24460, 34202, 16582, 44616, 16704, 16641, 23389, 16674, 28441, 16673, 43076, 16929, 23373, 16647, 18303, 18644, 16709, 19118, 16604, 16400, 16400, 16395, 16604, 16400, 16408, 16406, 16400, 16395, 16741, 16641, 50234, 24942, 22786, 16397, 16875, 19191, 16395, 16604, 16400, 16408, 16408, 16406, 16395, 54878, 21946, 16667, 17970, 16671, 17299, 19225, 53522, 16721, 27445, 16955, 16992, 30931, 22472, 16672, 16604, 16400, 16408, 16408, 16403, 16673, 22605, 27669, 16673, 29161, 19329, 16395, 16674, 16763, 20821, 62539, 17131, 16604, 16407, 16876, 16397, 16434, 16397, 16418, 16397, 16604, 25660, 16604, 16400, 16401, 16401, 16406, 16391, 16448, 16392, 16391, 16401, 16392, 16391, 16416, 16392, 16391, 19904, 16392, 16397, 17008, 26603, 22948, 17494, 27445, 62539, 16395, 16641, 19270, 52058, 16809, 16647, 20738, 16673, 38380, 39967, 16604, 16391, 16417, 21367, 16392, 16709, 19191, 16604, 16401, 16406, 16395, 16604, 16400, 16408, 16408, 16407, 16397, 18523, 16395, 16647, 19758, 16673, 39967, 16715, 16647, 22872, 32638, 21946, 16641, 18784, 16673, 27489, 17560, 16647, 52935, 17816, 16673, 16667, 23656, 16671, 16721, 19124, 16397, 16772, 22872, 32638, 16872, 17608, 52621, 16647, 18551, 17970, 16673, 27489, 16674, 29068, 16647, 18784, 16397, 27445, 16776, 16397, 16687, 16397, 16429, 16397, 16434, 16397, 16395, 16604, 16401, 16399, 16405, 16773, 16397, 16402, 16451, 16604, 16401, 16404, 16402, 16604, 16391, 16401, 16451, 32726, 16397, 16401, 16399, 16399, 16399, 16392, 16397, 21125, 17027, 16604, 16407, 16876, 16397, 16434, 16397, 16418, 16397, 16604, 25660, 16604, 16400, 16401, 16401, 16408, 16449, 16391, 16450, 16392, 16391, 16405, 16392, 16397, 16772, 27489, 16704, 18138, 16709, 27445, 16390, 16466, 17142, 44447, 16715, 26470, 16673, 24800, 24662, 16463, 20161, 16397, 16582, 20955, 16647, 23656, 16763, 32501, 16395, 27445, 26985, 19578, 16709, 16641, 16604, 16387, 16400, 16404, 16395, 16399, 16399, 16399, 16397, 16399, 16399, 22106, 16397, 16772, 21599, 21068, 16672, 17360, 18533, 26358, 16647, 19181, 16674, 37545, 27445, 16721, 16733, 16955, 16647, 17262, 16671, 23656, 16671, 16647, 16738, 21367, 16397, 17933, 23656, 16815, 16647, 36327, 16763, 23165, 16397, 16582, 38663, 16395, 27445, 16763, 19688, 16709, 31516, 16809, 16667, 26603, 21871, 16397, 18523, 16395, 16647, 26603, 22948, 59588, 31516, 16395, 31779, 16721, 27445, 16763, 16672, 58723, 16397, 27445, 16872, 23622, 16672, 30940, 17437, 54878, 25365, 16671, 17717, 16888, 57278, 16671, 43076, 16397, 21604, 43076, 39064, 37010, 19290, 16815, 16647, 18303, 18644, 16395, 16647, 17650, 16704, 19751, 16397, 16582, 33661, 16647, 18568, 17117, 19803, 16395, 16647, 18707, 17329, 16811, 19124, 16769, 20236, 16397, 27445, 16704, 16804, 16917, 16673, 17310, 39000, 18910, 16671, 27489, 20040, 23389, 18034, 16868, 16804, 18955, 17107, 16395, 16859, 16721, 16733, 16704, 16804, 18715, 16671, 16703, 18910, 16671, 24942, 36941, 16397, 20099, 16395, 16986, 16704, 17028, 18283, 21370, 37010, 18038, 16395, 16741, 16998, 17274, 18283, 16704, 26177, 16809, 16647, 22872, 32638, 16390, 16466, 34444, 16940, 16673, 16647, 17970, 16673, 27489, 16397, 23079, 16395, 27445, 17123, 16804, 27182, 16715, 16641, 44813, 16673, 57278, 17172, 16733, 21216, 16872, 19151, 17274, 16641, 44813, 16397, 16604, 16401, 16399, 16405, 16773, 16397, 16402, 16451, 16767, 16604, 16401, 16404, 16406, 16397, 16772, 24654, 18283, 16704, 18515, 16641, 22786, 28739, 16929, 16704, 18910, 16671, 27489, 16715, 39669, 26470, 16673, 24800, 24662, 16463, 20161, 16872, 16647, 17262, 16671, 16703, 19688, 16709, 22106, 17172, 16888, 23389, 18034, 24049, 23668, 16671, 18955, 17107, 16397, 17376, 17117, 17292, 16809, 16647, 19538, 49059, 22948, 16395, 27445, 16872, 22039, 16647, 18710, 16741, 18515, 16647, 22155, 16671, 19578, 17107, 16815, 30940, 16709, 22106, 17135, 16647, 49283, 16673, 16647, 16604, 16408, 16399, 16396, 17093, 16604, 16393, 16403, 16407, 16406, 27489, 18472, 37725, 16888, 17262, 16671, 18443, 17650, 16397, 21869, 16674, 48415, 16725, 16767, 16604, 16402, 16604, 16391, 16784, 26147, 51643, 16646, 16390, 16466, 18235, 18158, 31456, 16671, 64518, 16390, 16466, 36797, 16767, 16604, 16400, 16392, 16397, 16582, 16582, 27101, 16397, 16832, 20146, 18629, 16419, 37525, 19429, 16582, 17894, 16641, 32957, 18798, 16395, 16742, 20131, 16721, 54878, 27641, 17329, 16647, 19538, 49059, 22948, 16721, 16647, 19124, 42479, 31245, 17030, 16647, 36327, 16673, 22106, 33584, 16671, 16604, 16407, 16876, 16397, 16434, 16397, 16418, 16397, 16604, 25660, 16604, 16400, 16401, 16401, 16405, 16391, 16452, 16392, 16397, 16772, 33606, 20261, 22948, 16859, 18939, 16672, 46727, 16776, 16397, 54713, 16395, 16604, 16406, 16402, 16773, 16397, 23182, 16397, 16401, 16451, 16604, 16403, 16406, 16406, 16604, 16391, 16428, 16397, 16419, 16397, 37171, 16397, 16400, 16408, 16408, 16408, 16392, 16397, 16875, 32740, 16921, 16645, 16793, 17950, 16776, 16397, 16687, 16397, 16429, 16397, 16434, 16397, 16395, 16604, 16400, 16408, 16401, 16773, 16397, 16402, 16451, 16604, 16402, 16408, 16399, 16604, 16391, 16402, 16451, 32726, 16397, 16400, 16408, 16408, 16408, 16392, 16395, 17038, 19758, 16673, 39967, 18939, 16395, 17891, 17714, 19335, 16395, 16721, 16647, 20991, 19124, 16955, 31245, 17030, 16641, 27182, 16715, 16641, 18116, 16673, 31670, 16676, 56402, 17131, 16604, 25660, 16604, 16401, 16401, 16403, 16400, 16397, 22233, 16397, 16767, 16604, 16402, 16408, 16402, 16604, 16391, 16450, 18883, 22347, 31539, 16776, 16397, 54713, 16395, 16604, 16400, 16405, 16405, 16773, 16397, 16402, 16451, 16604, 16401, 16401, 16404, 16395, 16604, 16401, 16402, 16406, 16396, 16401, 16402, 16407, 16604, 16391, 16402, 16451, 32726, 16397, 16400, 16408, 16408, 16408, 16392, 16410, 17267, 16434, 16906, 16448, 16776, 16397, 54713, 16395, 16604, 16400, 16408, 16399, 16773, 16397, 16402, 16451, 16604, 16400, 16406, 16404, 16395, 16604, 16400, 16407, 16401, 16604, 16391, 16402, 16451, 32726, 16397, 16400, 16408, 16408, 16408, 16392, 16392, 16397, 16582, 16853, 52728, 16672, 32740, 16921, 16645, 16793, 17950, 16763, 16667, 26007, 16925, 28739, 16929, 16763, 35024, 16671, 39492, 30273, 16715, 19744, 16673, 16641, 21038, 38045, 32467, 16674, 16715, 32477, 16673, 26470, 16673, 24800, 24662, 16463, 20161, 16674, 55248, 30490, 29760, 16397, 22233, 16397, 16767, 16604, 16402, 16408, 16401, 16397, 17046, 23574, 16671, 16703, 25983, 16715, 19578, 17172, 16888, 18034, 16673, 24435, 16961, 16804, 18955, 17107, 16397, 22233, 16397, 16767, 16604, 16402, 16408, 16402, 16397, 16772, 38626, 25610, 16709, 16944, 16742, 39605, 16672, 46727, 16395, 16604, 25660, 16604, 16400, 16401, 16401, 16405, 16391, 16452, 16392, 16395, 17027, 16961, 20746, 16671, 30273, 24864, 16641, 52728, 16945, 16721, 16672, 32740, 16921, 16645, 16793, 17950, 16397, 16999, 21983, 16395, 17177, 16395, 16721, 16647, 28842, 32638, 23902, 16872, 16836, 22884, 16895, 46727, 16671, 16647, 23614, 16742, 17494, 16721, 17038, 31245, 16671, 21780, 16641, 27182, 16715, 16641, 18116, 16673, 31670, 16676, 56402, 16955, 16992, 20529, 19949, 16809, 16604, 25660, 16604, 16400, 16401, 16401, 16405, 16391, 16452, 16392, 16397, 16442, 16400, 16444, 16582, 17507, 17762, 16395, 17177, 16395, 16671, 16647, 42695, 16673, 16647, 27182, 16397, 16582, 16582, 20137, 16397, 21727, 44877, 23272, 16738, 35800, 16582, 17894, 21931, 16395, 27445, 21144, 16671, 16703, 25237, 16671, 19578, 16709, 22106, 16785, 17131, 16667, 17970, 16673, 35090, 17172, 16647, 16604, 16408, 16399, 16396, 17093, 18472, 16715, 27489, 16872, 43846, 16397, 16772, 18385, 16704, 46337, 16741, 37549, 17131, 16647, 30470, 26949, 55273, 16673, 16647, 40950, 30066, 16397, 16582, 25071, 16667, 28739, 16704, 23951, 16604, 16385, 18292, 28948, 16395, 16385, 54878, 16442, 16401, 16444, 16704, 49912, 16641, 16604, 16408, 16399, 16396, 17093, 18472, 16672, 16944, 16671, 17717, 27489, 16397, 16604, 16407, 16876, 16397, 16434, 16397, 16418, 16397, 16604, 25660, 16604, 16400, 16401, 16402, 16400, 16391, 16448, 16392, 16391, 16400, 16392, 16391, 16416, 16392, 16397, 16772, 28739, 16704, 18910, 16671, 36941, 17560, 16647, 27489, 18472, 16397, 32643, 16397, 16604, 16400, 16401, 16402, 16400, 16391, 16448, 16392, 16391, 16401, 16392, 16397, 18916, 49283, 16673, 16647, 16604, 16408, 16399, 16396, 17093, 18472, 16395, 16647, 28739, 17123, 16703, 19688, 17131, 25101, 19527, 16397, 16604, 25660, 16604, 16400, 16401, 16402, 16400, 16391, 16448, 16392, 16391, 16402, 16392, 16397, 19814, 39000, 17274, 16741, 27445, 16929, 16769, 37010, 16925, 17131, 16604, 25660, 16604, 16400, 16401, 16401, 16406, 16391, 16448, 16392, 16391, 16401, 16392, 16391, 16416, 16392, 16391, 19904, 16392, 17724, 16703, 39615, 32501, 16641, 18551, 17970, 16673, 27489, 16395, 16604, 16407, 16876, 16397, 16434, 16397, 16418, 16397, 16604, 25660, 16604, 16400, 16401, 16401, 16405, 16391, 16450, 16392, 16391, 16400, 16392, 16391, 16417, 16392, 16395, 16672, 16705, 43606, 39000, 16395, 39000, 62539, 17131, 16604, 16407, 16876, 16397, 16434, 16397, 16418, 16397, 16604, 25660, 16604, 16400, 16401, 16401, 16406, 16391, 16448, 16392, 16391, 16400, 16392, 16391, 16418, 16392, 16395, 16604, 16391, 16448, 16392, 16391, 16401, 16392, 16395, 16785, 16604, 16391, 16448, 16392, 16391, 16403, 16392, 16395, 16674, 39000, 21487, 16671, 16703, 16641, 18813, 16671, 16647, 18205, 16785, 26443 ]
[ 0, 50815, 24756, 16582, 16582, 50815, 24756, 21054, 52607, 16582, 16582, 24268, 62554, 16647, 54267, 16674, 40057, 16647, 49287, 34170, 17940, 19535, 17897, 16674, 16703, 17079, 45187, 43558, 16397, 16582, 16582, 16400, 17359, 24867, 16728, 49261, 17714, 49664, 16410, 32090, 16912, 20139, 16945, 16641, 54143, 16384, 35430, 16953, 16671, 16887, 17047, 16914, 17333, 18776, 16942, 16395, 16928, 16647, 18287, 16673, 28742, 17073, 34942, 16397, 16401, 24392, 16873, 17609, 17951, 16848, 20217, 16395, 16452, 19340, 16671, 18212, 16887, 19223, 16395, 19064, 16641, 20175, 33802, 48615, 16770, 16804, 62053, 17270, 16647, 17036, 17289, 16466, 16673, 17073, 18056, 16397, 16582, 16582, 19537, 59549, 16673, 16848, 26026, 19889, 59353, 18213, 16395, 20631, 19953, 16671, 19710, 59189, 16671, 18056, 16409, 16402, 19907, 16395, 17014, 16742, 19535, 16395, 16829, 16732, 16804, 20865, 16414, 17507, 17952, 33097, 17038, 23653, 16674, 16732, 20397, 58393, 16384, 17409, 16704, 17172, 16709, 16912, 19535, 17386, 16732, 27355, 16912, 17304, 22866, 16770, 17794, 18420, 16858, 16929, 16671, 16724, 16715, 16732, 16397, 16403, 17332, 19535, 28570, 17428, 17171, 16674, 45692, 16395, 48026, 19764, 16891, 52721, 16697, 16734, 16647, 39839, 16397, 23002, 17875, 19535, 16466, 16769, 16804, 17274, 16676, 16671, 17190, 16912, 20139, 19241, 16709, 17362, 16397, 16582, 16582, 16404, 17602, 16811, 16647, 22305, 16673, 45583, 16687, 16807, 19062, 16395, 19676, 16641, 17005, 16715, 18102, 16671, 58623, 19172, 16414, 19068, 16728, 17097, 16715, 22441, 16661, 16917, 16743, 16466, 17693, 16945, 16641, 16691, 16665, 16770, 18065, 16917, 16743, 16466, 19741, 16673, 46267, 16933, 17201, 16674, 50262, 16414, 19930, 16732, 17322, 16721, 16641, 19535, 16395, 16448, 17386, 16673, 59685, 16743, 16466, 17203, 18904, 17089, 16414, 16582, 16582, 16405, 17602, 16804, 16811, 16647, 19535, 16687, 18616, 16409, 18313, 19578, 16815, 63716, 22106, 16898, 16395, 16928, 29935, 16855, 16647, 38900, 16673, 16647, 16712, 19274, 16395, 16928, 17280, 16647, 54267, 16767, 34395, 16770, 36356, 17054, 16858, 21497, 16673, 17242, 24042, 16414, 16406, 17602, 16728, 16804, 16671, 18634, 16912, 18308, 16734, 16647, 31518, 16395, 16928, 18595, 17616, 16647, 16651, 50380, 16697, 20154, 16395, 16770, 17014, 16732, 17134, 18102, 17131, 65234, 16671, 16950, 23094, 17007, 16395, 16770, 16804, 16671, 35754, 16912, 17304, 25295, 16414, 16582, 16582, 16407, 19488, 19265, 16912, 18109, 18717, 17181, 16945, 16647, 35281, 16770, 16912, 26891, 20017, 17164, 18560, 16410, 28974, 48615, 16868, 16854, 17329, 16732, 16395, 16770, 16647, 30182, 16673, 59685, 16868, 16703, 16912, 26055, 28548, 16397, 16582, 16582, 16408, 19488, 16395, 17208, 16732, 17322, 16395, 59685, 16868, 20023, 16410, 26457, 16732, 20148, 16395, 16733, 16868, 17335, 16395, 16687, 17045, 17348, 16397, 40603, 16395, 16980, 16732, 16868, 21548, 17054, 17341, 20161, 16815, 18493, 16732, 16395, 16770, 16647, 29218, 25616, 16674, 26738, 21992, 16395, 16400, 16399, 16980, 16732, 16868, 17882, 16673, 16912, 17304, 16671, 16647, 31518, 16770, 31693, 16647, 18467, 16673, 16647, 54267, 16395, 23039, 19265, 16912, 18109, 35281, 28570, 29629, 16770, 16912, 18647, 38989, 18222, 16741, 16647, 34456, 17093, 16397, 16582, 16582, 16400, 16400, 59685, 16868, 17815, 16732, 34563, 16410, 16643, 16868, 31693, 16912, 18467, 16672, 16647, 27516, 16757, 16770, 18595, 29618, 16658, 16671, 16912, 44472, 16397, 18111, 16732, 16868, 18222, 16945, 16641, 17204, 16396, 16470, 62356, 24107, 16395, 19064, 16641, 22346, 16673, 20633, 28631, 26669, 16397, 16400, 16401, 17513, 16929, 18112, 16891, 16673, 16732, 16868, 37963, 16647, 23648, 39023, 16410, 22225, 16868, 30092, 16647, 37294, 16673, 27216, 18469, 16397, 18001, 19265, 16703, 18047, 16641, 21885, 22964, 16673, 27372, 24231, 16395, 16448, 30092, 16465, 16673, 24058, 16715, 16941, 19256, 17774, 16397, 16582, 16582, 16400, 16402, 17426, 16732, 16868, 17754, 16912, 20510, 16815, 43387, 25366, 16647, 49287, 17205, 20563, 30808, 16912, 17304, 22866, 16709, 16887, 28839, 17386, 17205, 16770, 18328, 16647, 49287, 16641, 25310, 16395, 17347, 28839, 17386, 16673, 59685, 55712, 16925, 16395, 16770, 16980, 16732, 16868, 23456, 16728, 17770, 17627, 16735, 17806, 16815, 16912, 25801, 62377, 17205, 20563, 55354, 45843, 16734, 16912, 17304, 28269, 16770, 22538, 16673, 17598, 22742, 17205, 16400, 16403, 17177, 19265, 16732, 25310, 16672, 59685, 16395, 16770, 16687, 16868, 17190, 16732, 63153, 16647, 41199, 16673, 16647, 21006, 16770, 47773, 17054, 16732, 16734, 16647, 28925, 16673, 28742, 16912, 19409, 16397, 18753, 16888, 22418, 59685, 16872, 27462, 16728, 16397, 16582, 16582, 16416, 32870, 23533, 16673, 59685, 16390, 16466, 17291, 16396, 18489, 36497, 16395, 21445, 59685, 21212, 16466, 16671, 26356, 16888, 17047, 16734, 16914, 52127, 16395, 16671, 65189, 17054, 17007, 16671, 44333, 16395, 16674, 16671, 22572, 17007, 16647, 18159, 18842, 16673, 16888, 17780, 16674, 19189, 16397, 16582, 16582, 30178, 16582, 16582, 16416, 32870, 23533, 16673, 59685, 16390, 16466, 17291, 16396, 18489, 36497, 16395, 21445, 59685, 21212, 16466, 16671, 26356, 16888, 17047, 16734, 16914, 52127, 16395, 16671, 65189, 17054, 17007, 16671, 44333, 16395, 16674, 16671, 23153, 17007, 16673, 59685, 16390, 16466, 45284, 47938, 16397, 16582, 16582, 30178, 16582, 16582, 16416, 32870, 23533, 16673, 59685, 16390, 16466, 17291, 16396, 18489, 36497, 16395, 20040, 48615, 59384, 16888, 17047, 16390, 16466, 18171, 16396, 18357, 32417, 17552, 16767, 16647, 17005, 59685, 21212, 16466, 17107, 16671, 25407, 17007, 16672, 16647, 59353, 18213, 16673, 16888, 45187, 16397, 16582, 16582, 30178, 16582, 16582, 16416, 32870, 23533, 16673, 59685, 16390, 16466, 17291, 16396, 18489, 36497, 16395, 16929, 17361, 32928, 16734, 59685, 16709, 25751, 16673, 16888, 17047, 16671, 21254, 17007, 16815, 27673, 16674, 16671, 23842, 17007, 16734, 16647, 43558, 16673, 16888, 45187, 16397, 16582, 16582, 30178, 16582, 16582, 16416, 32870, 23533, 16673, 16647, 17291, 16396, 18489, 22404, 16673, 20111, 16472, 20791, 16398, 54491, 35181, 16395, 16647, 32686, 16668, 16673, 16647, 24283, 16449, 17099, 16673, 59685, 16390, 16466, 17047, 16395, 16929, 16715, 46498, 59685, 16390, 16466, 43558, 16809, 43162, 21377, 49826, 16709, 16647, 20154, 16397, 16582, 16582, 16831, 16582, 16582, 16416, 23207, 52176, 16674, 32870, 23533, 16673, 59685, 16390, 16466, 17291, 16396, 18489, 36497, 16395, 16929, 17418, 24097, 16647, 18109, 16721, 35281, 16466, 16709, 59685, 16390, 16466, 17047, 16767, 16647, 17005, 59685, 17745, 18896, 17007, 16674, 32874, 17007, 16672, 16641, 17009, 16794, 43166, 16671, 37980, 16397, 16582, 16582, 30178, 16582, 16582, 16416, 32870, 23533, 16673, 59685, 16390, 16466, 17291, 16396, 18489, 36497, 16395, 16888, 20775, 16673, 48615, 16395, 16929, 22277, 59685, 16390, 16466, 18071, 16672, 16641, 17009, 16794, 43166, 16671, 37980, 16767, 16647, 17005, 59685, 16390, 16466, 18767, 16671, 31698, 16709, 16647, 21006, 32152, 18046, 16397, 16582, 16582, 30178, 16582, 16582, 16416, 23207, 52176, 16674, 32870, 23533, 16673, 59685, 16390, 16466, 17291, 16396, 18489, 36497, 16395, 16647, 18109, 16721, 35281, 16466, 16709, 16888, 44333, 16795, 17047, 16395, 16952, 16801, 18714, 16647, 29629, 16673, 16914, 19022, 39044, 17552, 16674, 26891, 16914, 28739, 16725, 16815, 59685, 16397, 16582, 16582, 30178, 16582, 16582, 16416, 31587, 52176, 16674, 32870, 23533, 16673, 16647, 17291, 16396, 18489, 22404, 20111, 16472, 20791, 16398, 54491, 35181, 16395, 16929, 18518, 24097, 16647, 24297, 16673, 29629, 16721, 18262, 27363, 50448, 16850, 21445, 59685, 16390, 16466, 36497, 21548, 22227, 16815, 17310, 16929, 44333, 16397, 16582, 16582, 16831, 16582, 16582, 16416, 32870, 23533, 16673, 59685, 16390, 16466, 17291, 16396, 18489, 36497, 16395, 59685, 16390, 16466, 22418, 16785, 22418, 29194, 16671, 16888, 17047, 16395, 16929, 29009, 31375, 38164, 16674, 16929, 27327, 16466, 59685, 16390, 16466, 18071, 18021, 44076, 53062, 18213, 16397, 16582, 16582, 32282, 16873, 22417, 16848, 20217, 16395, 16674, 25310, 16671, 17039, 16887, 19223, 16395, 16741, 16641, 20175, 16721, 17132, 48615, 16395, 16674, 16715, 16909, 16847, 16804, 16647, 44930, 16673, 16914, 18056, 16409, 16873, 17704, 16673, 16848, 16647, 59353, 18213, 16673, 22663, 16410, 16873, 17391, 25310, 16672, 32448, 16671, 18056, 16397, 16582, 16582, 16401, 16582, 16582, 32282, 16873, 17609, 17951, 16848, 20217, 16395, 16452, 19340, 16671, 18212, 16887, 19223, 16395, 19064, 16641, 20175, 33802, 48615, 16770, 16804, 62053, 17270, 16647, 17036, 17289, 16466, 16673, 17073, 18056, 16397, 16582, 16582, 19537, 59549, 16673, 16848, 26026, 19889, 59353, 18213, 16395, 20631, 19953, 16671, 19710, 59189, 16671, 18056, 16409, 16582, 16582, 23852, 17167, 16807, 16742, 19535, 16665, 16395, 17335, 16873, 16395, 16674, 37406, 16783, 16765, 16804, 16414, 17187, 17167, 16807, 16742, 17952, 42169, 17038, 22109, 16395, 16674, 37406, 28350, 16765, 17028, 19461, 16414, 17511, 19281, 16395, 16672, 16647, 17386, 16673, 16912, 19535, 26598, 17393, 26127, 16395, 16674, 19168, 16858, 16912, 21072, 18018, 16397, 16582, 16582, 16402, 16582, 16582, 21127, 16395, 17014, 16742, 19535, 16395, 16829, 16732, 16804, 20865, 16414, 17507, 17952, 33097, 17038, 23653, 16674, 16732, 20397, 58393, 16384, 17409, 16704, 17172, 16709, 16912, 19535, 17386, 16732, 27355, 16912, 17304, 22866, 16770, 17794, 18420, 16858, 16929, 16671, 16724, 16715, 16732, 16397, 16582, 16582, 19068, 16728, 17274, 16641, 19535, 16721, 16687, 16807, 23461, 16414, 16641, 17386, 16715, 16641, 16947, 16671, 17952, 33097, 16888, 22109, 16414, 16704, 16728, 16671, 22441, 17285, 16888, 17693, 16741, 16641, 21581, 16465, 17931, 16395, 16674, 16671, 20790, 46267, 16933, 17201, 16674, 50262, 17131, 17107, 16414, 16651, 18727, 37406, 17322, 16811, 16641, 19535, 16395, 16674, 16667, 28052, 17386, 16671, 16647, 20973, 16414, 16582, 16582, 16404, 16582, 16582, 19068, 16811, 16647, 22305, 16673, 45583, 16687, 16807, 19062, 16395, 19676, 16641, 17005, 16715, 18102, 16671, 58623, 19172, 16414, 19068, 16728, 17097, 16715, 22441, 16661, 16917, 16743, 16466, 17693, 16945, 16641, 16691, 16665, 16770, 18065, 16917, 16743, 16466, 19741, 16673, 46267, 16933, 17201, 16674, 50262, 16414, 19930, 16732, 17322, 16721, 16641, 19535, 16395, 16448, 17386, 16673, 59685, 16743, 16466, 17203, 18904, 17089, 16414, 16582, 16582, 19068, 16728, 16804, 16671, 18335, 30121, 25452, 16671, 16647, 31518, 16395, 16674, 16721, 37406, 18595, 16647, 20154, 16721, 16769, 20542, 16891, 16671, 30121, 18287, 16414, 17014, 37406, 16783, 16765, 16647, 32352, 16395, 16721, 37406, 19492, 17107, 16410, 16674, 16721, 37406, 25642, 16804, 30121, 17224, 16815, 16681, 16856, 17304, 30918, 16414, 16582, 16582, 16406, 16582, 16582, 19068, 16728, 16804, 16671, 18634, 16912, 18308, 16734, 16647, 31518, 16395, 16928, 18595, 17616, 16647, 16651, 50380, 16697, 20154, 16395, 16770, 17014, 16732, 17134, 18102, 17131, 65234, 16671, 16950, 23094, 17007, 16395, 16770, 16804, 16671, 35754, 16912, 17304, 25295, 16414, 16582, 16582, 18111, 16873, 16721, 19265, 16703, 16673, 39824, 19265, 17799, 16647, 17719, 22421, 20276, 16409, 37406, 16812, 18772, 22201, 16903, 16647, 37294, 16673, 17259, 27216, 16410, 16674, 37406, 16812, 18772, 16703, 18047, 16395, 16772, 17573, 24925, 16465, 16673, 16647, 32662, 16395, 16772, 30092, 16465, 16673, 29604, 16671, 36756, 16672, 16397, 16582, 16582, 16400, 16401, 16582, 16582, 19537, 16929, 18112, 16891, 16673, 16732, 16868, 37963, 16647, 23648, 39023, 16410, 22225, 16868, 30092, 16647, 37294, 16673, 27216, 18469, 16397, 18001, 19265, 16703, 18047, 16641, 21885, 22964, 16673, 27372, 24231, 16395, 16448, 30092, 16465, 16673, 24058, 16715, 16941, 19256, 17774, 16397, 16582, 16582, 17991, 37406, 17762, 17915, 30121, 18956, 16815, 16647, 16648, 45340, 16395, 16815, 18045, 30121, 26127, 16709, 16887, 28839, 17386, 16410, 16674, 17322, 16647, 16648, 45340, 16641, 25310, 16395, 16647, 28839, 16673, 16647, 20973, 16395, 18775, 40593, 16410, 16674, 16812, 18772, 33467, 17107, 16395, 16804, 18045, 16681, 16856, 17304, 19223, 16395, 21575, 21311, 16681, 16856, 17304, 26127, 16395, 21575, 22538, 16681, 16856, 17304, 18878, 16409, 16582, 16582, 16400, 16402, 16582, 16582, 17991, 16732, 16868, 17754, 16912, 20510, 16815, 43387, 25366, 16647, 49287, 17205, 20563, 30808, 16912, 17304, 22866, 16709, 16887, 28839, 17386, 17205, 16770, 18328, 16647, 49287, 16641, 25310, 16395, 17347, 28839, 17386, 16673, 59685, 55712, 16925, 16395, 16770, 16980, 16732, 16868, 23456, 16728, 17770, 17627, 16735, 17806, 16815, 16912, 25801, 62377, 17205, 20563, 55354, 45843, 16734, 16912, 17304, 28269, 16770, 22538, 16673, 17598, 22742, 17205, 16582, 16582, 22127, 16812, 18772, 37406, 25310, 30121, 17224, 16672, 16647, 20973, 16410, 16674, 16687, 16868, 19225, 39824, 16671, 22540, 19028, 16647, 17362, 20276, 16673, 16647, 21006, 16395, 16674, 20013, 39824, 16734, 16647, 28925, 16673, 28742, 30121, 19409, 16409, 16715, 16647, 22418, 16673, 16647, 20973, 49296, 27462, 16728, 16397, 16582, 16582, 16400, 16403, 16582, 16582, 23039, 19265, 16732, 25310, 16672, 59685, 16395, 16770, 16687, 16868, 17190, 16732, 63153, 16647, 41199, 16673, 16647, 21006, 16770, 47773, 17054, 16732, 16734, 16647, 28925, 16673, 28742, 16912, 19409, 16397, 18753, 16888, 22418, 59685, 16872, 27462, 16728, 16397, 16582, 16582, 16416, 32870, 23533, 16673, 59685, 16390, 16466, 17291, 16396, 18489, 36497, 16395, 21445, 59685, 21212, 16466, 16671, 26356, 16888, 17047, 16734, 16914, 52127, 16395, 16671, 65189, 17054, 17007, 16671, 44333, 16395, 16674, 16671, 22572, 17007, 16647, 18159, 18842, 16673, 16888, 17780, 16674, 19189, 16397, 16582, 16582, 30178, 16582, 16582, 16416, 32870, 23533, 16673, 59685, 16390, 16466, 17291, 16396, 18489, 36497, 16395, 21445, 59685, 21212, 16466, 16671, 26356, 16888, 17047, 16734, 16914, 52127, 16395, 16671, 65189, 17054, 17007, 16671, 44333, 16395, 16674, 16671, 23153, 17007, 16673, 59685, 16390, 16466, 45284, 47938, 16397, 16582, 16582, 30178, 16582, 16582, 16416, 32870, 23533, 16673, 59685, 16390, 16466, 17291, 16396, 18489, 36497, 16395, 20040, 48615, 59384, 16888, 17047, 16390, 16466, 18171, 16396, 18357, 32417, 17552, 16767, 16647, 17005, 59685, 21212, 16466, 17107, 16671, 25407, 17007, 16672, 16647, 59353, 18213, 16673, 16888, 45187, 16397, 16582, 16582, 30178 ]
[ 0, 31438, 26964, 16409, 20245, 16396, 17550, 32628, 25413, 16672, 19208, 16671, 16811, 16582, 56823, 44449, 49459, 16797, 16604, 16391, 24568, 16416, 16392, 16715, 22672, 23341, 17724, 16703, 25413, 16582, 28836, 17751, 17587, 17181, 50015, 16397, 24992, 16604, 16391, 19020, 16409, 16398, 16398, 18409, 16397, 17076, 17575, 16397, 24992, 16392, 17655, 16582, 17347, 32625, 16403, 16401, 16403, 20468, 16674, 39198, 16604, 16391, 16433, 16389, 16433, 16392, 21497, 16674, 16647, 32625, 16403, 16401, 16403, 16604, 16391, 16433, 16389, 16433, 16392, 16582, 30915, 25858, 16397, 16582, 16582, 18987, 23004, 18359, 41728, 50802, 23077, 16582, 28537, 25588, 26286, 48656, 18525, 20325, 16739, 18987, 17528, 24635, 56721, 16397, 16582, 16582, 17635, 30580, 16416, 17724, 16703, 17337, 16582, 16642, 33538, 16734, 16647, 19617, 25921, 19618, 16734, 16811, 26450, 16582, 16642, 50015, 16397, 24992, 16398, 47171, 16582, 17756, 50015, 16604, 16391, 17752, 24601, 18047, 50015, 16397, 24992, 16398, 47171, 16392, 16397, 16582, 16582, 16416, 25472, 17650, 16582, 16656, 19865, 17329, 32025, 16674, 32240, 16769, 20349, 26220, 16671, 17298, 16582, 17347, 17650, 16767, 17965, 17910, 16604, 16391, 16403, 16392, 19105, 19421, 16671, 16647, 21172, 32025, 19346, 16397, 21125, 23728, 25833, 16397, 16582, 16582, 40681, 19683, 16397, 16853, 54395, 21068, 16743, 16466, 16582, 19524, 42773, 17662, 24670, 20601, 16604, 16391, 19020, 16409, 16398, 16398, 47249, 22285, 21956, 16397, 47249, 16397, 24992, 16398, 17848, 19983, 17063, 17662, 16398, 16392, 16582, 24896, 19438, 16672, 16604, 16401, 16399, 16399, 16406, 16671, 17564, 16641, 17785, 17679, 16673, 17009, 33998, 16673, 16582, 29219, 17625, 29640, 16929, 32889, 29032, 16674, 20349, 25002, 17009, 18147, 16582, 37999, 19755, 16721, 16807, 16647, 19056, 16671, 21182, 16641, 18166, 19032, 16709, 20240, 16395, 16582, 42170, 19153, 16672, 48566, 16674, 34524, 18147, 16397, 16772, 18147, 21270, 16582, 39726, 16804, 16703, 16672, 16641, 26086, 48566, 16785, 34524, 29470, 16850, 17724, 16703, 16582, 33497, 16671, 16647, 21136, 16673, 54395, 16397, 16772, 17360, 42773, 17662, 24670, 28759, 24036, 16582, 43613, 25954, 16809, 54395, 16674, 17073, 50992, 16674, 36741, 16671, 18648, 17009, 33998, 17181, 16582, 16433, 16399, 16400, 29029, 16395, 16944, 19072, 16671, 16703, 16647, 18166, 19419, 16673, 54395, 17564, 16715, 17009, 16582, 37560, 52341, 16397, 16772, 20380, 16673, 16811, 30580, 16416, 16704, 16671, 61891, 17036, 16396, 17550, 32628, 16715, 16647, 16582, 16429, 31764, 21068, 16743, 16466, 17360, 42773, 17662, 22308, 16397, 20245, 16396, 17550, 32628, 16769, 16641, 19865, 17092, 18586, 16672, 26666, 16582, 17756, 16641, 16604, 16401, 16399, 16399, 16408, 17360, 42773, 17662, 22308, 16397, 20245, 16396, 17550, 32628, 16868, 16703, 29054, 16809, 16641, 17585, 16582, 17663, 23703, 48934, 16397, 22830, 33998, 20040, 40505, 16769, 38182, 16671, 16703, 16582, 17347, 17154, 25514, 16868, 16703, 37545, 16673, 16647, 19560, 16671, 25713, 17769, 16604, 16391, 24841, 16401, 16392, 16582, 17550, 32628, 17131, 16778, 22260, 16396, 44731, 16396, 16399, 16408, 16396, 16399, 16399, 16402, 16397, 16582, 19315, 25321, 16868, 16703, 17366, 17131, 16778, 22260, 16396, 44731, 16396, 16399, 16408, 16396, 16399, 16399, 16402, 16397, 16582, 19084, 25321, 16868, 16703, 17366, 17131, 16811, 26450, 16397, 17544, 19642, 17624, 16395, 16582, 20711, 16920, 16647, 46822, 16466, 16767, 19562, 16409, 16398, 16398, 47249, 22285, 21956, 16397, 47249, 16397, 24992, 16398, 17848, 19983, 17063, 17662, 16398, 24575, 16464, 16397, 41516, 16397, 16582, 16582, 20237, 19422, 17502, 16582, 17663, 25440, 16397, 17170, 30580, 16416, 50627, 16647, 18126, 16399, 16401, 21172, 25013, 16715, 32025, 16673, 16582, 19583, 16396, 17550, 32628, 16397, 16582, 16582, 32046, 17388, 32480, 16674, 17008, 19828, 16919, 16895, 27928, 16673, 24670, 16397, 19084, 16582, 16448, 18278, 16868, 16703, 17366, 16672, 19208, 16671, 16811, 30580, 16416, 16397, 24591, 16647, 19970, 30580, 16416, 16604, 16391, 16433, 22260, 16396, 44731, 16396, 16399, 16408, 16396, 16399, 16399, 16402, 16392, 16395, 16582, 16429, 31764, 31545, 16671, 21250, 22051, 16604, 16387, 16404, 16404, 16397, 16406, 18115, 16715, 16647, 18514, 16396, 18673, 16582, 42931, 16397, 16999, 16704, 30571, 16721, 16903, 16671, 16604, 16401, 16403, 25321, 16868, 16703, 17366, 16672, 16604, 16401, 16399, 16399, 16408, 16397, 16582, 16582, 64074, 16674, 21870, 36264, 16397, 19084, 25321, 16868, 16703, 17366, 17131, 16811, 16582, 17443, 26461, 16797, 16397, 24670, 17181, 16778, 22260, 16396, 44731, 16396, 16399, 16408, 16396, 16399, 16399, 16402, 16868, 16703, 16715, 16903, 16671, 16604, 16387, 16402, 16399, 16399, 16395, 16399, 16399, 16399, 16672, 17815, 20079, 17492, 16987, 16715, 18514, 17202, 16395, 20944, 16582, 17550, 17006, 16925, 51351, 16674, 43651, 20079, 16395, 16944, 16868, 16703, 21487, 16582, 16649, 16647, 17005, 16673, 20491, 16397, 16582, 16582, 16420, 20490, 17268, 16582, 28711, 32038, 16398, 58186, 42278, 18619, 16604, 16391, 22203, 16466, 16398, 16431, 19068, 16392, 16397, 51334, 16734, 16647, 20043, 16395, 19461, 16395, 16674, 20078, 16582, 28442, 16936, 16671, 20251, 16891, 16647, 21270, 18147, 16769, 24850, 16671, 16985, 16734, 16582, 40339, 26238, 16398, 59466, 16671, 17460, 16641, 17036, 16396, 32260, 16715, 17564, 16397, 22188, 16674, 20470, 16815, 17131, 48271, 29494, 16674, 27572, 19318, 16741, 17204, 16582, 16676, 20470, 16734, 31401, 16769, 17686, 26220, 16671, 20746, 16715, 54395, 16582, 33062, 16397, 42278, 18619, 16604, 16391, 22203, 16398, 16431, 19068, 16392, 16582, 39229, 18262, 16667, 21191, 18147, 18583, 16767, 16641, 23410, 16604, 16391, 16436, 16397, 16434, 16397, 16392, 16582, 16642, 24162, 16741, 16673, 19118, 16604, 16400, 16408, 16395, 16604, 16401, 16399, 16399, 16408, 16674, 17724, 16807, 19151, 16914, 17154, 16582, 16644, 17529, 46983, 20157, 16604, 16391, 16452, 16397, 16454, 16397, 16395, 17829, 16397, 16419, 16397, 16395, 16727, 16397, 16419, 16397, 16395, 16759, 16397, 16419, 16397, 16434, 16397, 16395, 16759, 16397, 16437, 16397, 16428, 16397, 16395, 29309, 16419, 16395, 16785, 16582, 18835, 45047, 16392, 16785, 21443, 16914, 19428, 37135, 16674, 40612, 17028, 20124, 16582, 30606, 16604, 16400, 16408, 16408, 16408, 16674, 17028, 18242, 17032, 16647, 18443, 19346, 16715, 17036, 16396, 17550, 32628, 16397, 17544, 16647, 16582, 51491, 16673, 16811, 30580, 16416, 16395, 16604, 16894, 46443, 18147, 18583, 16900, 18238, 16641, 18583, 16721, 16582, 56954, 22095, 17588, 16756, 38085, 16809, 16647, 34197, 16743, 16466, 27533, 19398, 16582, 17756, 16667, 44155, 16671, 20746, 16715, 16778, 16399, 16400, 29029, 16395, 16734, 16667, 21286, 16582, 47106, 16797, 16673, 22288, 16671, 16703, 17405, 16715, 16647, 19572, 16673, 16647, 21270, 16582, 41718, 16397, 42278, 18619, 17363, 16672, 19115, 16785, 22048, 18290, 20584, 16604, 16391, 21428, 54922, 16582, 62913, 16466, 16392, 16769, 16804, 25983, 16671, 20746, 21224, 16873, 16807, 16641, 19517, 23468, 16582, 17663, 16667, 21191, 25720, 18583, 16741, 16673, 19118, 16604, 16400, 16408, 16395, 16604, 16401, 16399, 16399, 16408, 16410, 32025, 16673, 16582, 17347, 17036, 16396, 32260, 16815, 16721, 26238, 24473, 16741, 16647, 19517, 23468, 16582, 17663, 16667, 21191, 25720, 18583, 16397, 16582, 16582, 22203, 16466, 16398, 16431, 19068, 17724, 18053, 16647, 16582, 41941, 16673, 16604, 16894, 17848, 44155, 16397, 16900, 17544, 16647, 20380, 16673, 16811, 30580, 16416, 16395, 16604, 16894, 17848, 16582, 37560, 52341, 16900, 16769, 21365, 16741, 17310, 23942, 16466, 16398, 16431, 19068, 16929, 16807, 17579, 16992, 25011, 16667, 16778, 16399, 16400, 16582, 16658, 24523, 54395, 21172, 16604, 16391, 16452, 16397, 16454, 16397, 16395, 16778, 16401, 16402, 16395, 16778, 16401, 16408, 16395, 16778, 16402, 16402, 16395, 16778, 16402, 16406, 16395, 45784, 16400, 16395, 45784, 16401, 16395, 16876, 16399, 16400, 16395, 16739, 16399, 16400, 16785, 20128, 16582, 60982, 16392, 16785, 16992, 16647, 20769, 16673, 16641, 16739, 16399, 16400, 16785, 20128, 21172, 29240, 16396, 53421, 17913, 16397, 16582, 48168, 16466, 16929, 16769, 23942, 16466, 16398, 16431, 19068, 16709, 22399, 16396, 31164, 16778, 16399, 16400, 16785, 24523, 54395, 29029, 16769, 16804, 16582, 58723, 16671, 20746, 16715, 16647, 17360, 42773, 17662, 22308, 16397, 31909, 16785, 18074, 37804, 16673, 16908, 16582, 16448, 18278, 16769, 25983, 20302, 16715, 16647, 18211, 16409, 16908, 16408, 16408, 16398, 16433, 16399, 16399, 16785, 16977, 31475, 16582, 43268, 16771, 16674, 16977, 17975, 16396, 16797, 18290, 19446, 25321, 16604, 16391, 16426, 16399, 16401, 16395, 16908, 16399, 16403, 16395, 16908, 16399, 16404, 16395, 16908, 16401, 16403, 16395, 16674, 16908, 16401, 16405, 16392, 16397, 16582, 33482, 52341, 17123, 25713, 16785, 16807, 16667, 16778, 16399, 16400, 16604, 16391, 16658, 24523, 16392, 21172, 19617, 16582, 50297, 63924, 16734, 16914, 17360, 42773, 17662, 22308, 17036, 16396, 32260, 16785, 16582, 32260, 16397, 18523, 16395, 16980, 16721, 32501, 21172, 16704, 25011, 16672, 54437, 20812, 16604, 16401, 16399, 16399, 16408, 16734, 16582, 16448, 17298, 19346, 16673, 19118, 16604, 16402, 16399, 16785, 20124, 16395, 16647, 33224, 16704, 17028, 19287, 25983, 16671, 16582, 64400, 16647, 17360, 42773, 17662, 22308, 16397, 22308, 19290, 16769, 19062, 16671, 21250, 16767, 17965, 16604, 16401, 16404, 16388, 16582, 17663, 16914, 18147, 18900, 17492, 16987, 16671, 19811, 22148, 16809, 16647, 17360, 42773, 17662, 16582, 63661, 16397, 62239, 16929, 16958, 16804, 21578, 16715, 16667, 20491, 16672, 19421, 17202, 17123, 25713, 16582, 19583, 16396, 17550, 32628, 16811, 16987, 16980, 16647, 33224, 17363, 26894, 16858, 16647, 38085, 16582, 32219, 20317, 16397, 17664, 16769, 17028, 34690, 16785, 40612, 21007, 16397, 16582, 16582, 25351, 16582, 17663, 23942, 16466, 16398, 16431, 19068, 16397, 26407, 16917, 23942, 16398, 31164, 17123, 16703, 16582, 36410, 16895, 16709, 16647, 17036, 16396, 32260, 16397, 16582, 16582, 25351, 16582, 17663, 20245, 16396, 58986, 16397, 17008, 18403, 17123, 16582, 43493, 17028, 16922, 17032, 16917, 17036, 16396, 32260, 16397, 17664, 16582, 16656, 17028, 20776, 16671, 16647, 17679, 16673, 17036, 16396, 17550, 32628, 16721, 23145, 17123, 16582, 43493, 16397, 16582, 16582, 18879, 16910, 24269, 16397, 18042, 16910, 24269, 16769, 16804, 16582, 51830, 16397, 17958, 16582, 19583, 16396, 17550, 32628, 17724, 16703, 25413, 16741, 16604, 16894, 17848, 16395, 16900, 24704, 16673, 16998, 18722, 16582, 19541, 24269, 16671, 16647, 17360, 42773, 17662, 22308, 20601, 16397, 16582, 16582, 16853, 54395, 21068, 16743, 16466, 17360, 42773, 17662, 22308, 16704, 20087, 16671, 16582, 33062, 17009, 33998, 16673, 30473, 29640, 16929, 32889, 29032, 16674, 20349, 16582, 19983, 17063, 17225, 17009, 18147, 25054, 16721, 16807, 16647, 19056, 16671, 21182, 16641, 18166, 16582, 61895, 16709, 20240, 16395, 17889, 19153, 16672, 48566, 16674, 34524, 18147, 16397, 16772, 16582, 20524, 16604, 16894, 16448, 17241, 16900, 16704, 17405, 16671, 17881, 16641, 21172, 16715, 31590, 18147, 16395, 18661, 17032, 16641, 16582, 16644, 17241, 16715, 18074, 32937, 16397, 62656, 16674, 34524, 18147, 16704, 21365, 16582, 52579, 16697, 16672, 16811, 26450, 16741, 63391, 22813, 31054, 16672, 16647, 16582, 22062, 18918, 16395, 34524, 16395, 21903, 16395, 18237, 16395, 19902, 16395, 22635, 16395, 39768, 16395, 16582, 54745, 16395, 16674, 35298, 32845, 16397, 16582, 16582, 16853, 18147, 21270, 16715, 16641, 17360, 42773, 17662, 22308, 17123, 16703, 16672, 16582, 17249, 22813, 18124, 21646, 16671, 16647, 21136, 16673, 54395, 16604, 16391, 22062, 18918, 16395, 34524, 16395, 16582, 51157, 16395, 18237, 16395, 19902, 16395, 22635, 16395, 39768, 16395, 22945, 16395, 16674, 16582, 20298, 24807, 16956, 32845, 16392, 16850, 17109, 16804, 16703, 16672, 16641, 26086, 48566, 16785, 16582, 62302, 16666, 29470, 16397, 16772, 18314, 16704, 16709, 24787, 16674, 19056, 19032, 16397, 16582, 16582, 17635, 30580, 16416, 37568, 16647, 16604, 16401, 16399, 16399, 16408, 17360, 42773, 17662, 22308, 21667, 16582, 17756, 26540, 16987, 16604, 16401, 16399, 16399, 16408, 16674, 37216, 17283, 17036, 16396, 17550, 32628, 16397, 16582, 16582, 17635, 16582, 17443, 26461, 16797, 50627, 16647, 18126, 16399, 16401, 25013, 16715, 32025, 16673, 17036, 16396, 17550, 32628, 16397, 16582, 21070, 16396, 17550, 32628, 16769, 16641, 19865, 17092, 18586, 16672, 26666, 16715, 16641, 16604, 16401, 16399, 16399, 16408, 17360, 16582, 17071, 40196, 17662, 22308, 16397, 20245, 16396, 17550, 32628, 16868, 16703, 29054, 16809, 16641, 17585, 16673, 23703, 16582, 35288, 16756, 16397, 22830, 33998, 20040, 40505, 16769, 38182, 16671, 16703, 16647, 16582, 18169, 25514, 16868, 16703, 37545, 16673, 16647, 19560, 16671, 25713, 17769, 16604, 16391, 24841, 16401, 16392, 16582, 17550, 32628, 17131, 16778, 22260, 16396, 44731, 16396, 16399, 16408, 16396, 16399, 16399, 16402, 16397, 16772, 21870, 21068, 16398, 58186, 16582, 33482, 35216, 16604, 16391, 22203, 16398, 31164, 16392, 16868, 16703, 29885, 21022, 16715, 20695, 16395, 38764, 16395, 16674, 16582, 55027, 16661, 16647, 21270, 17913, 16397, 16582, 16582, 16401, 16397, 16582, 32046, 17388, 32480, 16582, 16582, 19659, 26524, 16397, 17933, 25321, 16868, 16703, 17366, 17131, 16811, 30580, 16416, 16397, 17958, 16582, 16448, 18278, 16868, 16703, 17366, 17131, 16778, 22260, 16396, 44731, 16396, 16399, 16408, 16396, 16399, 16399, 16402, 16397, 16582, 16582, 22164, 18403, 16582, 20110, 16647, 20043, 16395, 19461, 16395, 16674, 20078, 19865, 16671, 20251, 16891, 16647, 21270, 16582, 41718, 16741, 16647, 23942, 16398, 31164, 16704, 24850, 16671, 16985, 16734, 16888, 16398, 16761, 20384, 16671, 17460, 16641, 16582, 19583, 16396, 32260, 16397, 22188, 16674, 20470, 16815, 17131, 48271, 29494, 16674, 27572, 16582, 35543, 16741, 17204, 16741, 20470, 16734, 31401, 16769, 17686, 26220, 16671, 20746, 16582, 17756, 54395, 17564, 16397, 22494, 16917, 23942, 16398, 31164, 16604, 16391, 16456, 16397, 16452, 16397, 16395, 17028, 19705, 23942, 16466, 16398, 16431, 19068, 16392, 17123, 16703, 28727, 16582, 16645, 16647, 17036, 16396, 32260, 16397, 54395, 17371, 19448, 17710, 16582, 37560, 52341, 16769, 16804, 25983, 16715, 17564, 17131, 16811, 17632, 16397, 16582, 16582, 22203, 16466, 16398, 16431, 19068, 17724 ]
[ 0, 21081, 16582, 16582, 16411, 16582, 16582, 16385, 16433, 17201, 16449, 16835, 16390, 16466, 19474, 16671, 34046, 18496, 17257, 16804, 18314, 16709, 27317, 16850, 16709, 44193, 16397, 16385, 16582, 16582, 17071, 16811, 21765, 16395, 31110, 35725, 16449, 16835, 16872, 18201, 16907, 16641, 24632, 18496, 16673, 18048, 16674, 27717, 16672, 16647, 18303, 18644, 16395, 16815, 34562, 18032, 16671, 18671, 18858, 20448, 16395, 16647, 17092, 16671, 32196, 17231, 16647, 23440, 16802, 24819, 16673, 43958, 34046, 21193, 16397, 17403, 17199, 24680, 16815, 16647, 32196, 43958, 30496, 24819, 17131, 16454, 17855, 16661, 16647, 22793, 26304, 16395, 16811, 17547, 17257, 16804, 16604, 16385, 23926, 16385, 16785, 16604, 16385, 52994, 16385, 16945, 19749, 19799, 44276, 16741, 16873, 16807, 16992, 19517, 17560, 16647, 18074, 19306, 16673, 16641, 20655, 16395, 17131, 16647, 21449, 16673, 16647, 47937, 16821, 18815, 16604, 16385, 17848, 19799, 18496, 16385, 16785, 16604, 16385, 54940, 21149, 24778, 16397, 16385, 16582, 16582, 16853, 18314, 16673, 16811, 24002, 19474, 16671, 19799, 18496, 16395, 16944, 18120, 19765, 58924, 16811, 18676, 16673, 32144, 16395, 16704, 16709, 16647, 19617, 16673, 17362, 16396, 35903, 29311, 20625, 16671, 16647, 19335, 16673, 35605, 19799, 17586, 16397, 17887, 50576, 26103, 22227, 35725, 16449, 16835, 16390, 16466, 19474, 16815, 16647, 46738, 19474, 16704, 16888, 60442, 19028, 29400, 19799, 35830, 16674, 22089, 16741, 19857, 16674, 19680, 22793, 19122, 16397, 23121, 16395, 16733, 41336, 16647, 20383, 16673, 19799, 21193, 16672, 33538, 16734, 16977, 21646, 37131, 16671, 30280, 17492, 18094, 17141, 16671, 16647, 17975, 44409, 34757, 19795, 16674, 20964, 16673, 16647, 18343, 26591, 19423, 16397, 16582, 16582, 17071, 35725, 16449, 16835, 16390, 16466, 18058, 16395, 19799, 20383, 16843, 16703, 39605, 19028, 16672, 51279, 17213, 17975, 16644, 16801, 33409, 22793, 19122, 17172, 16647, 36669, 16673, 17213, 20383, 16604, 17205, 16785, 16395, 17607, 18352, 16395, 16914, 20477, 16604, 17205, 16843, 16703, 20916, 16734, 39816, 16809, 22770, 27983, 17595, 16395, 16641, 20252, 18138, 16709, 16647, 27776, 18019, 16673, 18206, 18865, 16721, 16704, 56136, 43895, 16671, 16647, 18019, 16673, 18343, 22793, 26254, 16397, 16999, 16704, 16672, 16811, 18870, 16721, 16728, 16843, 16703, 17031, 16721, 19799, 21193, 16704, 16667, 16641, 19421, 16456, 20252, 16397, 16582, 16582, 17071, 25669, 23065, 16395, 16647, 17009, 19799, 42986, 18058, 18496, 16741, 16641, 29105, 16672, 16944, 19799, 21193, 16704, 34563, 17255, 23679, 16397, 16772, 19799, 35830, 21852, 16767, 17476, 25244, 16672, 18496, 16769, 22140, 16945, 16647, 51361, 38826, 17586, 23540, 16809, 16641, 24389, 16674, 26903, 16925, 21378, 16397, 17513, 16769, 17405, 16741, 19591, 16672, 29311, 22076, 16673, 55982, 21370, 16647, 22556, 16673, 16641, 17568, 16673, 19122, 16395, 17274, 16741, 44879, 16964, 16785, 19144, 46379, 16395, 16721, 16769, 21852, 16671, 30352, 16672, 18496, 16397, 16772, 33018, 16721, 17514, 28789, 16647, 19591, 16704, 17177, 28328, 24759, 23013, 16741, 20557, 16641, 21038, 48736, 25659, 16673, 16647, 17568, 16673, 19122, 16672, 18283, 16395, 32501, 18368, 21544, 17647, 17009, 19591, 16721, 16704, 23752, 26930, 16891, 16673, 16647, 55640, 22793, 17650, 16397, 16582, 16582, 19494, 16673, 16647, 55790, 16673, 16647, 17009, 19799, 18496, 16395, 26129, 28057, 16719, 16397, 18827, 16395, 16641, 38386, 29563, 24106, 16672, 30691, 16395, 25684, 17073, 18197, 16672, 16647, 18211, 19246, 16409, 16582, 16582, 17409, 16704, 22916, 16671, 30645, 16674, 21458, 16647, 18707, 31308, 16734, 16672, 19799, 18496, 17714, 21625, 20808, 55982, 16674, 21544, 17007, 16672, 16647, 18109, 16673, 18125, 19591, 16397, 16772, 20808, 55982, 17659, 16815, 16647, 18370, 16673, 19799, 21193, 16721, 16872, 31402, 16672, 16647, 18074, 16604, 16401, 16399, 16399, 17202, 16674, 16704, 17255, 34563, 23679, 16674, 39279, 16809, 38826, 32144, 16397, 16772, 26204, 18288, 16647, 24860, 27317, 16674, 38826, 19591, 16809, 16944, 16671, 17709, 16647, 21193, 16397, 16772, 24727, 16673, 32144, 16769, 59644, 16809, 16647, 23731, 16673, 21286, 21193, 16674, 19591, 17445, 16397, 16772, 19591, 16704, 16395, 46618, 16395, 29311, 17586, 16721, 29674, 24560, 16674, 20165, 16647, 18707, 16671, 16703, 23679, 16397, 16582, 16582, 17635, 46591, 16673, 18827, 16674, 18208, 16671, 36164, 25929, 16647, 47937, 52259, 17632, 16671, 19799, 18496, 20629, 26356, 16466, 17142, 19153, 16397, 19833, 16395, 16741, 18827, 48056, 16395, 16811, 19474, 53611, 24727, 16647, 24146, 16673, 19126, 16721, 16843, 16703, 28020, 16672, 19799, 18496, 16397, 22830, 18707, 16721, 16829, 16804, 32035, 40682, 19172, 16671, 40908, 16672, 35605, 19246, 16785, 16715, 16944, 29311, 17586, 16769, 16804, 18125, 20903, 16671, 16703, 17285, 43110, 16785, 40627, 33336, 16397, 23121, 16647, 17009, 19799, 42986, 16769, 16922, 18715, 16671, 22417, 23707, 16671, 19126, 16945, 16395, 17887, 16763, 16647, 18284, 25346, 16673, 16647, 40097, 16671, 16647, 19134, 16673, 17446, 16796, 34141, 16672, 16647, 18303, 18644, 16414, 17937, 16395, 17016, 16872, 16992, 16647, 17717, 16673, 16647, 23207, 16673, 16647, 22672, 29738, 19750, 16709, 16647, 26343, 16673, 16647, 18787, 17743, 16674, 17446, 21425, 16414, 17513, 16769, 17240, 17827, 18715, 16671, 18751, 16672, 16641, 27759, 17210, 16647, 19126, 16673, 17016, 30930, 16647, 19770, 17995, 18247, 29029, 16715, 40097, 19503, 16673, 17210, 16785, 16647, 27470, 16673, 16647, 22672, 29738, 18899, 16397, 16582, 16582, 17071, 18723, 16395, 16647, 18283, 16673, 16604, 16385, 16418, 21031, 23625, 16462, 16414, 16385, 16604, 17205, 16785, 16604, 16385, 23915, 20431, 16414, 16385, 16604, 17205, 16815, 19029, 16672, 22073, 16674, 23145, 29009, 17238, 17687, 19761, 16672, 16647, 16950, 16456, 29110, 23824, 16395, 17172, 16647, 19591, 16721, 16917, 18467, 16671, 19481, 16728, 16395, 32009, 16741, 16728, 17257, 16709, 18206, 44193, 16395, 16704, 25167, 37829, 16674, 57918, 16673, 16641, 52317, 16785, 17199, 21102, 34757, 29505, 16397, 17170, 16704, 16804, 16671, 30061, 16721, 17009, 19799, 42986, 16807, 25330, 16671, 21458, 16647, 16794, 17498, 36569, 21559, 16673, 20638, 16721, 18466, 16815, 16641, 18201, 17928, 16672, 16647, 27533, 24819, 16785, 16672, 16647, 19398, 26618, 16397, 17887, 16914, 18197, 17036, 55126, 17007, 16815, 18045, 16704, 29213, 16647, 16794, 45880, 23185, 16741, 17204, 16741, 20385, 16931, 16647, 17154, 17325, 19136, 20506, 18238, 16673, 22636, 20515, 17213, 23185, 16721, 30930, 16647, 18462, 20470, 16929, 60990, 17245, 16715, 16785, 33024, 16647, 17928, 16721, 58155, 16641, 17009, 20638, 21559, 16397, 18523, 16395, 33150, 17274, 19126, 22485, 16647, 35605, 17586, 19172, 24037, 52272, 18499, 16397, 16772, 18188, 16704, 16721, 16647, 23145, 16721, 24448, 16671, 16914, 24261, 16395, 17274, 16741, 16647, 23515, 39135, 16785, 16647, 29142, 16395, 16769, 17686, 16647, 19680, 17539, 17575, 16673, 16647, 17748, 18137, 16802, 21330, 16673, 18343, 20470, 16785, 19318, 16673, 20470, 26498, 16767, 30808, 39624, 20964, 16809, 16647, 17231, 16673, 18462, 18238, 16397, 17465, 16647, 17009, 19799, 18496, 16704, 16804, 18496, 16672, 16647, 20839, 18870, 16673, 16667, 19443, 16671, 16604, 16385, 20876, 17675, 16385, 16647, 18206, 44193, 26592, 16647, 40510, 16673, 19799, 23145, 16674, 22089, 16397, 16582, 16582, 16853, 17711, 16674, 17199, 16922, 29987, 30907, 16672, 16647, 17009, 19799, 18496, 16704, 16647, 18774, 16728, 17209, 17283, 17415, 21193, 16674, 18496, 16397, 17544, 18827, 16395, 18496, 16704, 16647, 19419, 16673, 16647, 16604, 16385, 20780, 34058, 19591, 16385, 16604, 17205, 16721, 16704, 16395, 16604, 16385, 16870, 16834, 16395, 29311, 17586, 16385, 16604, 17205, 17647, 16944, 16647, 19799, 21193, 16704, 23679, 16397, 17170, 18238, 16721, 16647, 18385, 16671, 36669, 16673, 16641, 18343, 40946, 16704, 17686, 59656, 16674, 22889, 16676, 17268, 16395, 38138, 16741, 16728, 17257, 16709, 17073, 17975, 16453, 17229, 18698, 16672, 18722, 38826, 22076, 16397, 18523, 16395, 16811, 17027, 18238, 16721, 19799, 18496, 17724, 16703, 34563, 32767, 16395, 17172, 16647, 17238, 21193, 16721, 16704, 25186, 16671, 21986, 16647, 48736, 18459, 17415, 22793, 19122, 16843, 17686, 16703, 45771, 17886, 16809, 17009, 19591, 18767, 16671, 18109, 16672, 16647, 24036, 22793, 17650, 16397, 16875, 16977, 18878, 16395, 17016, 16647, 17009, 19799, 42986, 47132, 16741, 16604, 16385, 17347, 32786, 18774, 17415, 27317, 16674, 21193, 16385, 16704, 16672, 20835, 16647, 42080, 26003, 16721, 19217, 18250, 16791, 16858, 25365, 16671, 48817, 47937, 52259, 17036, 17289, 16466, 16672, 16647, 27155, 16673, 18496, 16397, 17544, 16980, 16647, 21193, 17405, 16671, 23440, 18074, 19122, 16843, 17686, 16703, 32902, 16895, 16809, 18368, 19122, 16395, 17177, 16728, 16704, 31797, 18515, 21193, 16704, 16647, 23940, 16890, 16785, 16647, 23940, 16770, 16672, 22793, 18147, 16397, 16582, 16582, 16433, 17201, 16449, 16835, 16390, 16466, 19474, 16671, 34046, 18496, 17257, 16804, 18314, 16709, 27317, 16850, 16709, 44193, 16397, 22483, 16647, 20964, 16673, 16647, 26591, 16674, 16914, 20385, 16931, 16647, 21286, 18238, 16715, 30808, 17213, 20964, 16807, 16992, 20916, 16395, 19799, 21193, 16395, 18184, 16734, 16977, 32845, 16395, 16704, 19812, 16671, 24180, 16671, 30280, 16891, 16647, 19938, 16673, 17213, 21330, 16672, 25695, 16647, 19680, 19122, 16674, 22089, 16673, 18496, 16721, 16769, 17097, 29584, 16674, 53141, 16697, 26757, 16672, 29311, 17586, 16397, 17170, 16704, 16804, 16671, 17335, 16721, 35725, 16449, 16835, 50843, 16647, 35605, 22797, 16673, 22793, 34046, 22089, 16397, 28106, 16395, 16888, 17547, 16836, 18300, 16734, 18048, 16395, 18787, 16395, 16674, 21425, 17586, 16410, 16850, 17213, 17586, 16769, 17686, 35092, 16672, 19246, 16673, 16647, 50857, 16673, 17310, 16929, 16807, 26697, 16671, 16914, 24261, 16397, 17544, 35725, 16449, 16835, 16395, 16641, 18343, 18787, 20438, 16768, 16704, 16395, 17028, 17827, 17032, 16647, 23791, 16396, 24096, 18858, 16395, 16641, 22793, 18094, 16395, 16674, 17073, 22556, 17724, 16703, 45148, 17141, 16671, 16647, 37829, 26615, 33803, 18206, 19984, 16674, 24029, 16397, 16582, 16582, 17071, 22415, 16697, 53239, 16647, 47937, 52259, 19474, 16671, 19799, 18496, 16395, 35725, 16449, 16835, 23243, 17311, 16647, 18197, 16673, 22793, 18147, 17092, 49978, 16809, 52129, 19695, 16727, 19011, 16397, 16875, 21625, 16811, 18197, 16395, 16727, 19011, 26557, 59909, 16895, 16395, 16715, 16647, 17092, 17005, 16395, 16647, 18774, 17415, 21193, 16674, 18496, 16397, 16999, 16704, 35725, 16449, 16835, 16390, 16466, 17369, 25346, 16672, 16811, 21765, 16604, 17205, 16674, 16888, 20124, 18924, 16390, 16466, 20407, 38102, 16604, 17205, 16671, 16703, 16647, 17092, 16671, 27502, 20746, 16728, 16671, 19799, 18496, 16397, 16999, 16704, 18920, 31188, 19310, 16811, 18197, 17348, 16715, 18295, 20541, 16397, 19833, 16395, 16727, 19011, 16390, 16466, 37674, 16709, 16647, 18027, 18197, 16673, 22793, 18147, 16807, 60550, 16675, 17696, 16992, 18546, 19765, 28465, 16903, 16671, 16647, 17875, 16395, 17199, 16809, 17310, 16929, 16807, 24934, 16727, 19011, 16390, 16466, 22770, 27983, 18918, 19474, 16672, 30691, 16397, 22872, 16395, 53600, 16734, 16727, 19011, 16390, 16466, 18197, 16673, 22793, 18147, 18959, 24276, 17099, 16647, 19419, 16674, 18446, 16673, 16647, 28175, 23674, 22607, 16673, 35725, 16449, 16835, 16390, 16466, 22793, 37674, 16397, 16875, 18343, 16395, 16728, 24473, 16671, 19889, 16647, 18545, 16850, 35799, 27493, 16721, 35725, 16449, 16835, 16390, 16466, 22793, 37674, 16395, 18839, 16709, 16647, 24435, 16674, 18356, 16673, 16647, 17824, 34046, 17434, 16395, 16769, 40852, 16672, 18530, 16922, 26253, 17032, 16667, 19931, 20170, 23374, 40187, 16604, 16385, 16979, 47176, 18440, 21193, 16673, 18496, 16397, 16385, 28842, 16395, 16728, 20067, 16907, 16667, 19560, 16671, 55403, 16758, 16647, 17889, 30718, 16725, 16673, 16727, 19011, 16390, 16466, 18197, 16721, 35725, 16449, 16835, 26697, 16674, 16721, 16733, 17517, 38349, 16671, 17369, 17717, 16672, 17767, 30150, 16647, 22573, 16673, 16811, 21765, 16397, 17294, 19987, 16395, 16742, 17393, 16672, 16727, 19011, 16390, 16466, 18197, 16641, 37299, 17627, 24205, 16673, 16647, 47937, 52259, 16390, 16466, 18385, 16721, 16728, 16704, 22916, 16671, 29799, 17446, 19461, 16673, 37829, 37555, 16945, 18206, 44193, 16674, 16721, 16395, 20821, 16395, 19799, 18496, 17724, 18335, 29890, 16734, 55412, 16674, 52317, 37555, 16397, 16582, 16582, 18313, 18322, 16734, 16395, 16727, 19011, 27262, 16888, 18041, 16673, 22793, 18197, 16709, 16647, 25412, 16721, 20385, 16769, 16647, 18907, 16995, 17002, 19341, 16673, 18496, 16397, 16875, 16888, 18878, 16395, 16582, 16582, 31630, 16704, 16647, 18156, 16673, 18206, 18865, 16397, 22316, 18865, 16704, 16647, 25122, 18900, 16673, 16947, 16671, 34378, 16922, 43980, 19527, 16715, 17827, 43980, 19528, 16397, 44403, 21349, 17016, 16769, 16671, 16703, 19570, 16922, 16674, 17827, 43980, 19527, 16674, 17016, 18238, 16769, 16671, 16703, 16941, 24554, 16671, 16671, 26148, 17007, 16397, 23121, 20385, 16769, 16647, 17736, 23404, 16673, 16647, 18077, 16673, 18496, 16397, 16582, 16582, 17635, 16704, 16804, 16671, 17335, 16721, 16858, 18496, 17208, 16703, 26479, 18496, 16395, 16850, 16721, 20385, 16769, 16647, 26951, 19225, 16673, 16858, 18237, 37555, 16395, 17789, 16674, 18839, 19799, 37555, 16397, 17376, 16727, 19011, 25261, 16728, 16395, 16582, 16582, 16853, 25092, 18496, 16673, 38656, 16704, 16647, 18496, 16673, 20385, 16397, 16999, 16704, 20385, 16721, 34372, 16947, 16815, 16858, 16977, 28591, 16397, 44403, 18085, 18969, 18237, 23145, 16395, 19052, 19029, 16395, 30795, 20625, 16673, 19378, 16395, 16674, 16858, 16721, 16704, 18047, 19799, 19527, 16397, 16582, 16582, 34544, 16395, 16715, 16727, 19011, 16395, 18496, 16582, 16582, 36387, 36512, 16647, 17551, 16721, 18102, 16395, 23895, 16809, 39624, 20385, 16395, 17366, 39624, 47938, 16673, 18020, 16395, 24494, 39624, 22866, 16395, 16674, 16941, 24554, 16671, 39624, 18238, 16672, 17970, 16671, 35908, 16647, 22866, 23461, 16395, 16674, 16728, 24989, 18613, 19502, 16734, 16647, 24637, 16673, 16914, 21330, 16395, 16647, 17731, 16673, 28269, 16647, 18865, 19812, 16931, 16397, 16582, 16582, 51268, 16676, 16604, 17205, 22365, 17310, 58949, 16661, 16647, 23185, 16674, 19795, 16721, 17815, 18865, 16604, 17205, 16769 ]
[ 0, 38194, 16582, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16582, 16582, 44446, 22972, 30985, 16738, 16396, 18933, 31136, 29193, 42184, 16661, 42641, 17333, 63876, 16673, 16604, 16407, 16464, 16401, 16403, 16398, 16393, 38606, 16418, 16393, 23693, 16734, 16604, 16400, 16407, 16464, 16401, 16400, 16398, 16393, 19634, 16427, 16401, 16393, 16769, 18047, 16604, 16385, 27584, 16396, 36061, 31136, 29193, 16604, 16391, 16419, 26024, 16392, 16385, 17178, 23541, 16671, 16741, 16604, 16385, 25538, 23724, 16738, 16396, 18933, 57934, 16734, 16604, 16393, 38606, 16418, 16393, 16674, 16604, 16393, 19634, 16427, 16401, 16393, 16674, 16398, 16658, 16604, 16393, 19634, 16427, 16405, 16393, 51159, 16990, 19894, 16604, 16391, 43611, 16396, 16423, 22588, 16427, 16392, 16385, 18745, 16671, 16647, 17788, 18671, 19218, 29317, 16604, 16391, 53550, 16392, 30981, 16673, 31136, 17819, 16864, 50586, 17413, 16397, 16445, 16442, 16415, 16449, 16400, 16396, 16400, 16399, 16403, 16400, 16403, 16400, 16406, 16444, 16445, 16772, 42641, 17333, 63876, 16673, 16604, 16407, 16464, 16401, 16403, 16398, 16393, 38606, 16418, 16393, 16674, 16604, 16400, 16407, 16464, 16401, 16400, 16398, 16393, 19634, 16427, 16401, 16393, 19294, 17474, 16671, 56086, 18324, 16673, 17490, 26513, 16395, 16674, 41750, 16396, 16423, 22588, 16427, 48317, 21497, 16641, 18462, 17585, 18493, 16604, 16385, 27584, 16396, 57256, 16396, 42279, 31136, 29193, 16604, 16391, 16419, 23004, 16392, 16385, 16397, 16445, 16442, 16415, 16449, 16400, 16396, 16400, 16399, 16403, 16400, 16403, 16400, 16406, 16444, 16396, 16396, 16442, 16415, 16449, 16402, 16396, 16400, 16399, 16403, 16400, 16403, 16400, 16406, 16444, 16445, 16772, 17154, 18545, 17884, 18918, 18383, 16673, 41750, 16396, 16423, 22588, 16427, 16704, 54168, 18122, 16738, 16396, 18933, 57934, 16604, 16391, 37682, 19634, 16427, 16392, 16395, 16944, 16872, 56484, 30648, 32321, 18918, 16395, 24813, 16754, 17175, 63134, 16395, 16674, 25998, 19696, 16397, 16445, 16442, 16415, 16449, 16400, 16396, 16400, 16399, 16403, 16400, 16403, 16400, 16406, 16444, 16395, 16442, 16415, 16449, 16403, 16396, 16400, 16399, 16403, 16400, 16403, 16400, 16406, 16444, 16445, 27890, 20825, 40605, 16807, 39138, 17886, 44917, 19634, 16427, 17065, 36100, 17667, 20128, 16738, 16396, 18933, 16604, 16391, 28933, 16417, 16392, 16396, 19064, 16395, 33331, 16738, 16396, 18933, 16604, 16391, 43134, 16392, 16396, 19064, 16395, 16674, 16977, 17242, 30179, 16395, 17492, 16673, 16944, 18466, 16815, 17476, 19007, 31018, 27287, 16397, 16445, 16442, 16415, 16449, 16400, 16396, 16400, 16399, 16403, 16400, 16403, 16400, 16406, 16444, 16395, 16442, 16415, 16449, 16404, 16396, 16400, 16399, 16403, 16400, 16403, 16400, 16406, 16444, 16395, 16442, 16415, 16449, 16405, 16396, 16400, 16399, 16403, 16400, 16403, 16400, 16406, 16444, 16445, 41750, 16396, 16423, 22588, 16427, 19140, 16734, 44917, 19634, 16427, 47837, 23976, 17539, 16672, 46806, 24585, 16672, 32478, 16673, 21317, 16647, 36046, 16417, 49494, 16395, 16944, 16704, 29819, 16741, 16641, 22439, 36416, 33544, 16715, 25341, 16397, 16445, 16442, 16415, 16449, 16400, 16396, 16400, 16399, 16403, 16400, 16403, 16400, 16406, 16444, 16395, 16442, 16415, 16449, 16401, 16396, 16400, 16399, 16403, 16400, 16403, 16400, 16406, 16444, 16395, 16442, 16415, 16449, 16403, 16396, 16400, 16399, 16403, 16400, 16403, 16400, 16406, 16444, 16445, 23121, 16395, 16671, 16703, 16759, 26024, 16674, 16759, 23004, 16604, 16391, 43611, 16396, 16419, 23004, 16392, 18633, 16671, 16807, 16641, 20809, 19032, 16709, 25341, 16395, 18839, 16672, 36046, 16417, 16396, 19064, 44917, 19634, 16427, 19140, 16397, 16445, 16442, 16415, 16449, 16400, 16396, 16400, 16399, 16403, 16400, 16403, 16400, 16406, 16444, 16396, 16396, 16442, 16415, 16449, 16402, 16396, 16400, 16399, 16403, 16400, 16403, 16400, 16406, 16444, 16445, 16582, 16582, 38606, 16418, 16704, 16641, 21197, 60199, 18039, 17662, 16395, 18821, 24507, 16673, 16944, 16769, 19970, 16734, 18155, 36793, 16395, 23642, 44396, 16395, 22036, 33319, 16395, 16674, 18155, 36481, 16395, 16674, 17073, 56086, 18324, 16704, 16641, 23710, 19632, 16673, 27242, 39166, 19283, 16397, 16445, 16442, 16415, 16449, 16406, 16396, 16400, 16399, 16403, 16400, 16403, 16400, 16406, 16444, 16395, 16442, 16415, 16449, 16407, 16396, 16400, 16399, 16403, 16400, 16403, 16400, 16406, 16444, 16445, 16875, 23065, 16395, 16738, 22695, 16401, 16704, 16647, 17092, 21766, 20381, 16396, 16904, 19299, 22585, 41736, 16721, 36903, 16671, 16647, 25341, 16673, 57934, 19487, 16397, 16445, 16442, 16415, 16449, 16408, 16396, 16400, 16399, 16403, 16400, 16403, 16400, 16406, 16444, 16395, 16442, 16415, 16449, 16400, 16399, 16396, 16400, 16399, 16403, 16400, 16403, 16400, 16406, 16444, 16445, 63891, 40309, 16673, 17490, 24507, 18715, 36545, 27747, 57934, 19487, 21317, 16641, 19535, 19134, 18960, 16674, 23759, 16671, 39808, 22585, 46897, 16397, 25613, 17587, 16395, 41750, 16396, 16419, 23004, 16872, 16641, 20154, 50328, 17014, 22140, 16734, 16647, 19749, 28827, 19125, 16706, 16775, 16396, 33604, 17516, 28519, 18737, 24594, 41968, 16395, 16829, 16471, 16658, 60731, 16642, 16395, 16776, 21027, 17697, 16856, 16395, 16674, 19049, 30748, 16877, 16604, 16391, 16433, 16396, 20260, 19989, 16392, 53166, 16395, 16734, 16641, 30548, 25341, 16673, 17473, 16604, 16401, 16399, 18355, 16397, 16445, 16442, 16415, 16449, 16401, 16396, 16400, 16399, 16403, 16400, 16403, 16400, 16406, 16444, 16395, 16442, 16415, 16449, 16400, 16400, 16396, 16400, 16399, 16403, 16400, 16403, 16400, 16406, 16444, 16445, 32527, 17178, 16395, 29682, 31624, 23575, 17647, 41750, 16396, 16419, 23004, 20397, 16671, 16703, 21487, 16397, 16582, 16582, 43670, 20369, 18510, 16721, 30634, 32639, 16418, 16674, 16738, 22695, 16401, 17123, 16703, 16641, 29334, 21084, 16671, 18123, 41750, 16396, 16419, 23004, 16397, 16445, 16442, 16415, 16449, 16400, 16401, 16396, 16400, 16399, 16403, 16400, 16403, 16400, 16406, 16444, 16396, 16396, 16442, 16415, 16449, 16400, 16404, 16396, 16400, 16399, 16403, 16400, 16403, 16400, 16406, 16444, 16445, 28855, 16419, 16403, 16395, 16641, 19154, 16673, 16647, 60094, 16745, 16680, 16805, 16674, 19544, 16396, 48276, 24020, 16604, 16391, 16417, 19093, 16392, 17797, 16395, 16704, 19570, 16671, 16703, 16641, 27699, 18821, 16715, 32639, 16418, 16396, 32402, 31136, 29193, 16397, 16445, 16442, 16415, 16449, 16400, 16405, 16396, 16400, 16399, 16403, 16400, 16403, 16400, 16406, 16444, 16395, 16442, 16415, 16449, 16400, 16406, 16396, 16400, 16399, 16403, 16400, 16403, 16400, 16406, 16444, 16445, 51918, 17797, 26513, 24238, 17263, 17666, 34657, 28372, 21990, 16674, 17114, 16741, 37732, 17055, 16396, 38618, 17035, 16397, 16445, 16442, 16415, 16449, 16400, 16407, 16396, 16400, 16399, 16403, 16400, 16403, 16400, 16406, 16444, 16445, 28855, 16419, 16403, 16704, 16903, 38011, 16672, 44917, 19634, 16427, 16674, 55100, 17075, 57934, 19487, 16395, 16674, 17073, 38455, 22277, 16671, 16641, 18354, 17285, 40309, 16673, 32639, 16418, 16674, 17073, 44889, 24507, 16395, 23526, 16672, 42492, 16673, 16914, 18155, 19134, 16397, 16445, 16442, 16415, 16449, 16400, 16405, 16396, 16400, 16399, 16403, 16400, 16403, 16400, 16406, 16444, 16395, 16442, 16415, 16449, 16400, 16406, 16396, 16400, 16399, 16403, 16400, 16403, 16400, 16406, 16444, 16445, 30485, 16395, 16647, 37727, 16738, 22695, 16401, 40582, 23193, 28466, 16933, 17271, 25402, 21748, 44909, 44822, 19938, 16672, 25917, 31136, 25908, 19828, 52283, 16397, 16445, 16442, 16415, 16449, 16400, 16408, 16396, 16400, 16399, 16403, 16400, 16403, 16400, 16406, 16444, 16395, 16442, 16415, 16449, 16401, 16399, 16396, 16400, 16399, 16403, 16400, 16403, 16400, 16406, 16444, 16445, 16738, 22695, 16401, 16674, 17073, 17797, 26513, 17917, 16741, 41338, 16674, 18039, 18619, 16673, 16647, 41892, 39808, 22585, 31133, 16767, 16647, 46386, 29993, 17743, 16397, 16445, 16442, 16415, 16449, 16400, 16399, 16396, 16400, 16399, 16403, 16400, 16403, 16400, 16406, 16444, 16395, 16442, 16415, 16449, 16401, 16400, 16396, 16400, 16399, 16403, 16400, 16403, 16400, 16406, 16444, 16445, 17513, 21005, 16767, 17965, 16917, 16673, 17910, 16738, 22695, 16401, 18826, 17595, 16604, 16391, 63728, 16392, 35057, 16604, 16391, 63728, 16400, 16396, 16403, 16392, 16674, 16769, 30103, 17065, 17567, 19318, 18138, 16709, 16914, 20189, 16674, 17917, 16409, 17226, 16397, 16452, 16397, 16395, 16647, 16764, 16396, 26939, 16469, 18683, 26513, 16604, 16391, 19634, 16427, 16401, 16395, 16738, 22695, 16396, 16471, 16427, 16395, 16727, 22695, 16400, 16395, 16738, 21219, 16400, 16395, 16674, 16738, 22695, 16470, 16392, 20441, 23392, 16647, 16764, 16396, 16904, 19299, 22585, 59153, 16402, 16396, 24664, 26513, 16604, 16391, 16417, 18320, 16395, 16738, 19806, 16395, 16738, 19240, 16395, 25922, 16439, 16416, 16395, 42849, 21423, 16395, 42617, 16421, 16395, 28516, 16426, 16395, 16674, 16738, 34649, 16392, 16395, 16944, 16672, 17762, 39224, 16647, 55292, 16396, 29239, 26513, 16604, 16391, 21271, 16439, 16674, 16738, 28197, 16392, 16397, 16445, 16442, 16415, 16449, 16400, 16399, 16396, 16400, 16399, 16403, 16400, 16403, 16400, 16406, 16444, 16395, 16442, 16415, 16449, 16401, 16400, 16396, 16400, 16399, 16403, 16400, 16403, 16400, 16406, 16444, 16445, 16830, 20490, 25590, 17873, 16673, 35965, 16439, 16398, 21271, 16426, 39955, 24856, 20847, 16647, 46386, 29993, 16395, 23526, 16672, 19332, 16928, 50746, 16655, 19578, 16674, 43459, 16397, 16445, 16442, 16415, 16449, 16400, 16399, 16396, 16400, 16399, 16403, 16400, 16403, 16400, 16406, 16444, 16395, 16442, 16415, 16449, 16401, 16400, 16396, 16400, 16399, 16403, 16400, 16403, 16400, 16406, 16444, 16445, 16772, 59153, 16402, 36210, 19923, 23193, 28466, 16933, 17271, 52682, 16671, 16647, 59153, 16402, 24020, 16673, 16738, 22695, 16401, 16395, 28483, 59153, 16402, 16396, 24664, 26513, 16395, 16674, 50395, 43459, 16397, 16445, 16442, 16415, 16449, 16400, 16399, 16396, 16400, 16399, 16403, 16400, 16403, 16400, 16406, 16444, 16395, 16442, 16415, 16449, 16401, 16400, 16396, 16400, 16399, 16403, 16400, 16403, 16400, 16406, 16444, 16445, 21604, 18187, 23659, 16671, 23193, 28466, 16933, 17271, 16843, 26421, 18650, 44909, 44822, 19938, 16672, 44917, 19634, 16427, 19487, 16395, 16445, 16442, 16415, 16449, 16400, 16401, 16396, 16400, 16399, 16403, 16400, 16403, 16400, 16406, 16444, 16396, 16396, 16442, 16415, 16449, 16400, 16404, 16396, 16400, 16399, 16403, 16400, 16403, 16400, 16406, 16444, 16395, 16442, 16415, 16449, 16400, 16408, 16396, 16400, 16399, 16403, 16400, 16403, 16400, 16406, 16444, 16395, 16442, 16415, 16449, 16401, 16401, 16396, 16400, 16399, 16403, 16400, 16403, 16400, 16406, 16444, 16396, 16396, 16442, 16415, 16449, 16401, 16403, 16396, 16400, 16399, 16403, 16400, 16403, 16400, 16406, 16444, 16445, 16811, 20632, 16390, 16466, 21903, 34792, 16672, 44917, 19634, 16427, 16704, 17827, 29334, 16395, 16445, 16442, 16415, 16449, 16401, 16404, 16396, 16400, 16399, 16403, 16400, 16403, 16400, 16406, 16444, 16445, 18366, 17172, 16647, 39808, 22585, 29214, 16671, 23193, 28466, 16933, 17271, 16704, 28817, 16804, 17097, 16809, 18804, 24801, 16673, 16738, 22695, 16401, 16395, 16850, 17027, 16809, 17073, 50485, 20584, 16395, 18839, 16767, 17451, 16856, 16604, 16406, 16399, 16604, 16391, 22112, 16406, 16399, 16392, 16395, 16674, 16647, 18613, 21057, 16673, 16977, 16764, 16396, 26939, 16469, 18683, 26513, 16397, 16445, 16442, 16415, 16449, 16400, 16403, 16396, 16400, 16399, 16403, 16400, 16403, 16400, 16406, 16444, 16395, 16442, 16415, 16449, 16400, 16404, 16396, 16400, 16399, 16403, 16400, 16403, 16400, 16406, 16444, 16395, 16442, 16415, 16449, 16401, 16401, 16396, 16400, 16399, 16403, 16400, 16403, 16400, 16406, 16444, 16396, 16396, 16442, 16415, 16449, 16401, 16403, 16396, 16400, 16399, 16403, 16400, 16403, 16400, 16406, 16444, 16395, 16442, 16415, 16449, 16401, 16405, 16396, 16400, 16399, 16403, 16400, 16403, 16400, 16406, 16444, 16396, 16396, 16442, 16415, 16449, 16401, 16407, 16396, 16400, 16399, 16403, 16400, 16403, 16400, 16406, 16444, 16445, 27385, 16647, 16764, 16396, 26939, 16469, 18683, 26513, 16395, 16727, 22695, 16400, 16704, 19570, 16647, 18166, 37145, 16795, 16673, 23759, 16671, 23193, 28466, 16933, 17271, 16397, 16445, 16442, 16415, 16449, 16401, 16401, 16396, 16400, 16399, 16403, 16400, 16403, 16400, 16406, 16444, 16396, 16396, 16442, 16415, 16449, 16401, 16403, 16396, 16400, 16399, 16403, 16400, 16403, 16400, 16406, 16444, 16395, 16442, 16415, 16449, 16401, 16407, 16396, 16400, 16399, 16403, 16400, 16403, 16400, 16406, 16444, 16445, 23466, 16395, 16647, 31624, 19617, 16673, 23193, 28466, 16933, 17271, 16671, 41750, 16396, 16419, 23004, 18467, 18613, 22012, 16397, 16875, 16811, 18077, 16395, 16742, 28152, 16647, 39808, 22585, 29214, 16673, 36046, 16417, 16396, 19064, 44917, 19634, 16427, 19487, 16671, 16647, 28855, 16419, 16403, 40582, 16832, 16432, 16396, 16400, 16674, 59153, 16402, 16669, 30139, 17220, 16395, 26305, 16709, 16647, 24426, 16673, 16738, 22695, 16401, 16734, 16727, 22695, 16400, 16397, 16582, 16582, 41751, 16582, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16582, 16582, 17506, 16750, 16988, 16582, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16582, 16582, 16853, 16738, 22695, 16401, 40582, 23193, 28466, 16933, 17271, 16604, 16391, 16434, 22126, 16760, 35522, 16466, 16395, 26027, 16395, 33764, 16395, 21119, 16392, 16395, 16727, 22695, 16400, 40582, 16702, 16405, 16402, 16407, 16403, 16404, 16604, 16391, 16416, 39440, 44318, 16395, 26027, 16395, 33764, 16395, 21119, 16392, 16395, 16738, 22695, 16396, 16471, 16427, 40582, 16711, 16396, 16400, 16400, 16404, 16404, 16403, 16405, 16402, 16604, 16391, 16434, 22126, 16760, 35522, 16466, 16392, 16395, 16674, 28855, 16419, 16403, 40582, 16832, 16432, 16396, 16400, 16604, 16391, 33680, 16396, 54676, 22837, 16395, 16957, 16397, 22146, 16395, 25890, 16395, 21119, 16392, 16958, 42315, 16734, 21290, 24648, 34730, 39998, 16604, 16391, 16419, 21332, 16430, 16410, 16793, 16861, 16666, 18017, 31209, 17750, 16395, 56450, 16395, 19802, 16392, 16674, 18973, 16671, 16647, 19995, 22767, 16397, 16582, 16582, 29270, 20329, 16582, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16582, 16582, 17507, 17405, 17910, 36046, 16417, 16396, 19064, 44917, 19634, 16427, 18155, 20329, 16409, 16738, 16425, 20709, 16395 ]
[ 0, 19733, 16805, 19616, 25698, 16604, 16474, 16386, 37256, 16400, 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, 24346, 22813, 16674, 30795, 20143, 16872, 19194, 18166, 17730, 20431, 16395, 16728, 16843, 17027, 25927, 16874, 21318, 17415, 23819, 26168, 16674, 18873, 16397, 16875, 20010, 24139, 16395, 16647, 21975, 22797, 16673, 23819, 20903, 16671, 51797, 16395, 16672, 16944, 16647, 17736, 18314, 16704, 21568, 16709, 29400, 16647, 20062, 16674, 17827, 19761, 16704, 20164, 16671, 16977, 22797, 16721, 16769, 17027, 17889, 16671, 16647, 20475, 16395, 17274, 16741, 23598, 16674, 26424, 16397, 45632, 17072, 16671, 26610, 16704, 16667, 30670, 16674, 19675, 41897, 16674, 20821, 23819, 23816, 17724, 20303, 16721, 18873, 16769, 21582, 16673, 18531, 19359, 16671, 16914, 20249, 16395, 16671, 29202, 16914, 42730, 16672, 19270, 16396, 25220, 16397, 17426, 22857, 17072, 16671, 26610, 16704, 17686, 17889, 16395, 16728, 16704, 17199, 16922, 16859, 17014, 16647, 19014, 16673, 16647, 19906, 16704, 20633, 16962, 40593, 16397, 17544, 18185, 16395, 18216, 18541, 16931, 16647, 22083, 16673, 16641, 26624, 16843, 21449, 16647, 19082, 16390, 16466, 19270, 16709, 18515, 16671, 19072, 16785, 16671, 42732, 16728, 16397, 30274, 32858, 16672, 17274, 19140, 16769, 25573, 16395, 17172, 16647, 28339, 24585, 16673, 16647, 19580, 21257, 16709, 16647, 17534, 16674, 17564, 19194, 16397, 17267, 18363, 37643, 16672, 16647, 21318, 17650, 16843, 24339, 31919, 16674, 51015, 18574, 16672, 16647, 20005, 16396, 33824, 16396, 31701, 18774, 16397, 16582, 16582, 36300, 16604, 16474, 16386, 37256, 16401, 16476, 16582, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16582, 16582, 37490, 18918, 20143, 16674, 32430, 16672, 16647, 18676, 16673, 27732, 44402, 16807, 26697, 17382, 16656, 18444, 16671, 16647, 18356, 16673, 48552, 22102, 57868, 16397, 62722, 19933, 20318, 16395, 20349, 25915, 27643, 16674, 22658, 16715, 29213, 39601, 18813, 20671, 16395, 31771, 16647, 18334, 25939, 16673, 62752, 22221, 17024, 16964, 16785, 36820, 16673, 24366, 20286, 19359, 16671, 17058, 30024, 24261, 16674, 18356, 16604, 16443, 16442, 16442, 16415, 23965, 16400, 16444, 16443, 16444, 16397, 18523, 16395, 21051, 16811, 28387, 20143, 16395, 16986, 16704, 18143, 16641, 29987, 19744, 16673, 17654, 16672, 54859, 21318, 16397, 16772, 19629, 16671, 26610, 16734, 18873, 16872, 16992, 52665, 19879, 27716, 16741, 16641, 33677, 23393, 16395, 19739, 16671, 21975, 22797, 16673, 23819, 16604, 16443, 16442, 16442, 16415, 23965, 16401, 16444, 16395, 16604, 16442, 16415, 23965, 16402, 16444, 16443, 16444, 16395, 17014, 16672, 17551, 16728, 16704, 16667, 22009, 20688, 16672, 16647, 18774, 17415, 23819, 26168, 16674, 16914, 18873, 16395, 18138, 16709, 29841, 24702, 16674, 21233, 19270, 18065, 16604, 16443, 16442, 16442, 16415, 23965, 16403, 16444, 16396, 16396, 16442, 16415, 23965, 16405, 16444, 16443, 16444, 16397, 16582, 16582, 18811, 16641, 47990, 27869, 16785, 22660, 17058, 30024, 22221, 17463, 16704, 22557, 16395, 16647, 17730, 17562, 16704, 44186, 16671, 20391, 16647, 19082, 16931, 16647, 24559, 18038, 16673, 24959, 16647, 26624, 16395, 16674, 16673, 16647, 50328, 16674, 18230, 17498, 60622, 25178, 16604, 16443, 16442, 16442, 16415, 23965, 16406, 16444, 16396, 16396, 16442, 16415, 23965, 16400, 16399, 16444, 16443, 16444, 53149, 16647, 20475, 16390, 16466, 17262, 16671, 20446, 16604, 16443, 16442, 16442, 16415, 23965, 16403, 16444, 16443, 16444, 16397, 16875, 17259, 19140, 16395, 23819, 26168, 17460, 16914, 17304, 23575, 16395, 17714, 18625, 17065, 18375, 16647, 20475, 16390, 16466, 44059, 19927, 16674, 17714, 28931, 16641, 24632, 33192, 16709, 16647, 17730, 16396, 16451, 17146, 16954, 27052, 16680, 17002, 16395, 23557, 16673, 41261, 17624, 17065, 16641, 31624, 19349, 16604, 16443, 16442, 16442, 16415, 23965, 16400, 16400, 16444, 16443, 16444, 16397, 21621, 19404, 20903, 16804, 16671, 21573, 16395, 28065, 28715, 16671, 19646, 23883, 16671, 35138, 20001, 17016, 16647, 20475, 21384, 16395, 16674, 21638, 33533, 31171, 16397, 17170, 36288, 16671, 21798, 16647, 21318, 16673, 32824, 17624, 16671, 16647, 20475, 16390, 16466, 17304, 19795, 16674, 34365, 16843, 24339, 31919, 16674, 51015, 18574, 16604, 16443, 16442, 16442, 16415, 23965, 16400, 16400, 16444, 16396, 16396, 16442, 16415, 23965, 16400, 16403, 16444, 16443, 16444, 16397, 21388, 28266, 16674, 17543, 16675, 17225, 20043, 17156, 16641, 24812, 16674, 44486, 18814, 16672, 29795, 19153, 16395, 21577, 18873, 27210, 28339, 36694, 16674, 35022, 19441, 29195, 24267, 16604, 16443, 16442, 16442, 16415, 23965, 16400, 16404, 16444, 16443, 16444, 16397, 16875, 48552, 22102, 49257, 17534, 31935, 16395, 16647, 25416, 16673, 26703, 37612, 18813, 16395, 16741, 17204, 16741, 26887, 16891, 18783, 31030, 16396, 19338, 19153, 16674, 29213, 18130, 16767, 17362, 18813, 16673, 39601, 16674, 16972, 16642, 22102, 32126, 16395, 17208, 17027, 18751, 16647, 20475, 16815, 16667, 34248, 22410, 16395, 17172, 16604, 16391, 55559, 16977, 20541, 16392, 16647, 17730, 16396, 16451, 17146, 16954, 17650, 16704, 16641, 18180, 64949, 25934, 16917, 16672, 16944, 26987, 16395, 28339, 16674, 18237, 20671, 32941, 25566, 16395, 16672, 16641, 19508, 16785, 16641, 20809, 18870, 16604, 16443, 16442, 16442, 16415, 23965, 16400, 16405, 16444, 16443, 16444, 16397, 16582, 16582, 16853, 20199, 16673, 16811, 18077, 16704, 16671, 27768, 16647, 23819, 19194, 16671, 26485, 18130, 20040, 17058, 16688, 19637, 17875, 62752, 36820, 16674, 16671, 29202, 16647, 17802, 16673, 16641, 16922, 18741, 17845, 17730, 18528, 16395, 16917, 16721, 40105, 16671, 16858, 16914, 18467, 16395, 18661, 17032, 16641, 20236, 22525, 16397, 40156, 16395, 16742, 16807, 44511, 16647, 21855, 23078, 16809, 23819, 26168, 16674, 16647, 32858, 16873, 17190, 17014, 16667, 29175, 48552, 22102, 25928, 17724, 16703, 46628, 16395, 17789, 16647, 23575, 16674, 20043, 25186, 16671, 18053, 18873, 16390, 17624, 18467, 16674, 16671, 20023, 16671, 16914, 23000, 24739, 16397, 16582, 16582, 41751, 16604, 16474, 16386, 37256, 16402, 16476, 16582, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16582, 16582, 17635, 41161, 18077, 16763, 36216, 16815, 16641, 24791, 18918, 44064, 16395, 16944, 29043, 16907, 16671, 48676, 18462, 21675, 16604, 16443, 16442, 16442, 16415, 23965, 16400, 16406, 16444, 16443, 16444, 16397, 22698, 16763, 23980, 16809, 18238, 16673, 17975, 16396, 58077, 16795, 28536, 16674, 26311, 16396, 57915, 26402, 16395, 33403, 25608, 16815, 32001, 16395, 19712, 48260, 16395, 31426, 16674, 27559, 45976, 19423, 16672, 17446, 16396, 21806, 17534, 22089, 21646, 16671, 16647, 18597, 16673, 17038, 18077, 16397, 19736, 19335, 16704, 18138, 16709, 48325, 16674, 23440, 17225, 28184, 16716, 17413, 16395, 16944, 16958, 21627, 16671, 23440, 16647, 17586, 21715, 16672, 16647, 20409, 16673, 21160, 19461, 16931, 16647, 18077, 18124, 16674, 16672, 16721, 16673, 16647, 22381, 16390, 21675, 16672, 16811, 18577, 16397, 17999, 28864, 17146, 16647, 22813, 16674, 64525, 24614, 16841, 16673, 16647, 18077, 16395, 25145, 16673, 37480, 16395, 20558, 18038, 16395, 34814, 16604, 16391, 16658, 34133, 16392, 16674, 23204, 18038, 16958, 21627, 16604, 16443, 16442, 16442, 16415, 23965, 16400, 16406, 16444, 16395, 16604, 16442, 16415, 23965, 16400, 16407, 16444, 16443, 16444, 16397, 16582, 16582, 16853, 18077, 16763, 21996, 16891, 16767, 16647, 34466, 17637, 21513, 19218, 25591, 16604, 16391, 21285, 17100, 20534, 16395, 24970, 16392, 16815, 18850, 16671, 19118, 16604, 16401, 16399, 16400, 16404, 16397, 22191, 16647, 17624, 16396, 20036, 20883, 21876, 16395, 16604, 16402, 16406, 26402, 16958, 22546, 16395, 16734, 16604, 16401, 16401, 26703, 37612, 18218, 16395, 17910, 19712, 48260, 16395, 17567, 31426, 16674, 20545, 27559, 45976, 16604, 16391, 22224, 18331, 16442, 16400, 16444, 16391, 16386, 34185, 16400, 16392, 16474, 18452, 16396, 18926, 16412, 16385, 22246, 16385, 16476, 16392, 16397, 18708, 23819, 26168, 16858, 19304, 16672, 21932, 17989, 16647, 57523, 16688, 24778, 18224, 16604, 16391, 16463, 16826, 22102, 25928, 16395, 16972, 16642, 22102, 24139, 16395, 20374, 21085, 16395, 17092, 16395, 17711, 16674, 18848, 16396, 18178, 17383, 16737, 26624, 30928, 16674, 16398, 16658, 26703, 37612, 21540, 34236, 17534, 16392, 16397, 16772, 22525, 16673, 16647, 22381, 16763, 39982, 16674, 16804, 21179, 16395, 18625, 17065, 18375, 16647, 45440, 16673, 54147, 16395, 23451, 16709, 16647, 43693, 23479, 16395, 20374, 20666, 16395, 18583, 30544, 16674, 27329, 16673, 23428, 16767, 16647, 20374, 16397, 16772, 30080, 25145, 16958, 16721, 22381, 17208, 16703, 32001, 16395, 19712, 48260, 16395, 31426, 16785, 27559, 45976, 16767, 16647, 20374, 16395, 16807, 16767, 17965, 16604, 16400, 16987, 16390, 16466, 18019, 16604, 16391, 16928, 29799, 23454, 19461, 16673, 16647, 20666, 16392, 16674, 17882, 26088, 16715, 24227, 24025, 16673, 16647, 19724, 16397, 17958, 19056, 22381, 16958, 18630, 23565, 29074, 16647, 20380, 16673, 16647, 18077, 16674, 39020, 17007, 16671, 17391, 17015, 16397, 62665, 16763, 18242, 22557, 16809, 27825, 16397, 22224, 16604, 16400, 18473, 16845, 16745, 16746, 23040, 24319, 16673, 23819, 23816, 50039, 23479, 19516, 16684, 37612, 17060, 38330, 38066, 16429, 31298, 16429, 18061, 16661, 26160, 38739, 45010, 59359, 45010, 45010, 42432, 45010, 45010, 45010, 16443, 16411, 16403, 16399, 16401, 16400, 45010, 45010, 45010, 16403, 16400, 16396, 16396, 16403, 16404, 45010, 45010, 45010, 16403, 16405, 16396, 16396, 16404, 16399, 45010, 45010, 45010, 16443, 16413, 16404, 16399, 16401, 45010, 48965, 17384, 45010, 45010, 42432, 45010, 45010, 45010, 16443, 16411, 16403, 16399, 16400, 16400, 16401, 16401, 16402, 45010, 45010, 45010, 16403, 16400, 16396, 16396, 16403, 16404, 16404, 16400, 16401, 45010, 45010, 45010, 16403, 16405, 16396, 16396, 16404, 16399, 16401, 16400, 16400, 45010, 45010, 45010, 16443, 16413, 16404, 16399, 16401, 31131, 16401, 16401, 16403, 16402, 16407, 65136, 18702, 16604, 16391, 60653, 16392, 16402, 16408, 16402, 16407, 16403, 16399, 16403, 16403, 65136, 31612, 16604, 16391, 60653, 16392, 16400, 16400, 16400, 16399, 16400, 16405, 16401, 16403, 16582, 16582, 16853, 24893, 44155, 16442, 16400, 16444, 16391, 16386, 46712, 16400, 16392, 16474, 18452, 16396, 18926, 16412, 16385, 28484, 16385, 16476, 20206, 21852, 16647, 26459, 17415, 18873, 16674, 23819, 26168, 16395, 22613, 19761, 17490, 16671, 16914, 18878, 16674, 16671, 17975, 16396, 16722, 18110, 22797, 16397, 16711, 18676, 42731, 16763, 17405, 16671, 17190, 16641, 23435, 18156, 16673, 16858, 28101, 16395, 17135, 18873, 16958, 24608, 16674, 19296, 16914, 19517, 26535, 16671, 16647, 23914, 16397, 17999, 19825, 18910, 19283, 16395, 16641, 23883, 17650, 16763, 17027, 21627, 16395, 16672, 16944, 16647, 22395, 17366, 16674, 45127, 19151, 16958, 18242, 21233, 16734, 16647, 17396, 22381, 17560, 16647, 26402, 16397, 16582, 16582, 16853, 22730, 16715, 16647, 26402, 16763, 30718, 16895, 16911, 53228, 16395, 18625, 17065, 18375, 17038, 18722, 18603, 16673, 16647, 23824, 16674, 16647, 30369, 16673, 16647, 18077, 16395, 16674, 16763, 28152, 16674, 22292, 19028, 16809, 16858, 18319, 16673, 16647, 18147, 17562, 16397, 16772, 35159, 16958, 17333, 26730, 16674, 40304, 26991, 16604, 16400, 16400, 41161, 20052, 16763, 17405, 16671, 51261, 16647, 17624, 16674, 16671, 17783, 16647, 19014, 19335, 16397, 16772, 41161, 17586, 19335, 16763, 21996, 16891, 17655, 16647, 25052, 16396, 16417, 16905, 33828, 17434, 16395, 18138, 16709, 17586, 26277, 16395, 27353, 16673, 26930, 18707, 16395, 33610, 16395, 27155, 16395, 49951, 21085, 16674, 27771, 16673, 64525, 24614, 16841, 16604, 16443, 16442, 16442, 16415, 23965, 16400, 16408, 16444, 16395, 16604, 16442, 16415, 23965, 16401, 16399, 16444, 16443, 16444, 16397, 16582, 16582, 28382, 26930, 18707, 16604, 16391, 44167, 37549, 17560, 16647, 19724, 16392, 16674, 19049, 62619, 19528, 16604, 16391, 20129, 27004, 24640, 19618, 16672, 16647, 19724, 17802, 16392, 16958, 21766, 16397, 17999, 20303, 47521, 17586, 18950, 16395, 17689, 16990, 18093, 16763, 21627, 16395, 21370, 17490, 16647, 17586, 16604, 16391, 19635, 17586, 42134, 27643, 17274, 16741, 26402, 16674, 17975, 16396, 58077, 16795, 28536, 16392, 16674, 16647, 23267, 16604, 16391, 17347, 19335, 16763, 20888, 16809, 17142, 23267, 16445, 16400, 16395, 16402, 16445, 16395, 17092, 18055, 31525, 16674, 17177, 25880, 16641, 26954, 18058, 16392, 16604, 16443, 16442, 16442, 16415, 23965, 16401, 16400, 16444, 16443, 16444, 16397, 16582, 16582, 19862, 51583, 16763, 21487, 17135, 26037, 16661, 16647, 17679, 16673, 27858, 44607, 16674, 30369, 21766, 16395, 16741, 16647, 17411, 16767, 16944, 16647, 19263, 16674, 33610, 17650, 21431, 16671, 24339, 19642, 17624, 16721, 16961, 18616, 18613, 29524, 16785, 25796, 16397, 16582, 16582, 32271, 16604, 16474, 16386, 37256, 16403, 16476, 16582, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16582, 16582, 19862, 19335, 22130, 16647, 23731, 16673, 17567, 19359, 25796, 16409, 17072, 16671, 17882, 18216, 18541, 16395, 21318, 20043, 16672, 18723, 16674, 26459, 17415, 23819, 23816, 16674, 18873, 16397, 16582, 16582, 16853, 18211, 18466, 16769, 20905, 16672, 19246, 16673, 16647, 24284, 17624, 23479, 16395, 39597, 16647, 17736, 23806, 21715, 16715, 17492, 17242, 35047, 16397, 18708, 23806, 16769, 17027, 19628, 16672, 16647, 26321, 16395, 18226, 16734, 18361, 27206, 16706, 46815, 16815, 16647, 26402, 16397, 16772, 33333, 16673, 16647, 23819, 20005, 16704, 21766, 16809, 16641, 19484, 25345, 16671, 16647, 19724, 16395, 20781, 28375, 48301, 16674, 50814, 16397, 24229, 16395, 16647, 17586, 21715, 16769, 19570, 16672, 16647, 18109, 16673, 18722, 18147, 20369, 16672, 16811, 19130, 16397, 16582, 16582, 18571, 16671, 17882, 18216, 18541, 16604, 16474, 16386, 37256, 16404, 16476, 16582, 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, 26654, 16468, 16756, 16674, 45430, 16673, 18216, 18541, 16604, 16474, 16386, 37256, 16405, 16476, 16582, 16582, 29002, 20771, 20676, 22994, 17146, 16647, 26942, 19927, 16673, 18216, 18541, 16674, 16647, 40659, 19029, 16873, 58853, 16672, 16647, 19261, 16673, 17310, 16929, 20028, 16728, 16397 ]
[ 0, 20356, 16396, 18743, 16435, 16604, 16399, 16402, 16408, 16443, 16582, 16582, 16443, 16582, 16582, 16442, 16393, 16393, 18564, 16642, 20225, 31773, 16746, 21989, 16393, 16393, 16444, 16474, 16476, 16387, 16445, 16474, 16391, 16448, 16392, 16476, 16387, 16604, 16442, 16445, 16400, 16444, 16395, 16604, 16442, 16393, 16393, 18564, 16716, 17305, 16456, 51388, 16768, 19636, 16393, 16393, 16444, 16474, 16476, 16387, 16445, 16474, 16391, 16448, 16392, 16476, 16387, 16604, 16442, 16445, 16401, 16444, 16395, 16443, 16582, 16442, 16393, 16393, 28109, 20489, 16689, 56777, 29168, 22590, 16393, 16393, 16444, 16474, 16476, 16387, 16445, 16474, 16391, 16448, 16392, 16476, 16387, 16604, 16442, 16445, 16402, 16444, 16395, 16674, 16604, 16442, 16393, 16393, 38757, 17125, 23591, 23802, 18386, 16393, 16393, 16444, 16474, 16476, 16387, 16445, 16474, 16391, 16449, 16392, 16476, 16387, 16604, 16442, 16445, 16403, 16444, 16443, 16582, 16582, 16387, 16445, 16474, 16391, 16448, 16392, 16476, 16387, 16442, 16393, 39770, 16673, 37012, 16395, 18059, 16673, 30514, 18256, 16395, 30514, 18256, 16604, 16408, 16402, 16399, 16396, 16407, 16404, 16404, 16404, 16395, 19802, 16393, 16444, 16474, 16476, 16443, 16582, 16387, 16445, 16474, 16391, 16449, 16392, 16476, 16387, 16442, 16393, 39770, 16673, 37012, 16674, 44670, 22091, 16395, 18059, 16673, 28529, 16395, 16443, 16582, 16435, 16730, 18336, 16462, 23091, 16395, 25629, 16604, 16402, 16404, 16403, 16407, 16406, 16395, 21119, 16393, 16444, 16474, 16476, 16443, 16582, 16582, 38194, 16582, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16582, 16582, 17071, 32478, 16673, 16647, 30883, 18141, 16673, 16647, 28047, 26712, 16604, 16391, 28082, 16392, 16673, 31239, 28792, 16395, 16728, 16704, 24305, 22816, 16721, 17009, 28792, 20371, 16647, 27508, 17208, 18560, 16767, 16641, 18244, 17362, 18712, 21434, 16397, 16772, 17736, 30496, 25412, 16709, 16811, 25030, 16704, 18138, 16709, 16647, 39556, 18234, 16672, 16647, 27508, 16397, 16875, 16977, 18878, 16395, 16647, 24340, 49819, 21434, 16704, 40768, 17647, 28966, 44246, 16674, 16704, 16395, 16672, 17762, 16395, 18761, 25628, 16671, 16647, 63362, 18712, 21434, 16395, 16944, 16704, 26370, 18711, 16671, 16703, 16647, 21434, 16673, 17009, 47114, 20371, 16647, 27508, 16397, 23466, 16395, 16672, 17970, 16715, 16647, 27508, 16671, 16703, 26370, 22951, 16741, 16641, 18229, 18712, 20176, 21193, 16395, 16647, 21434, 16673, 17009, 28792, 17208, 16804, 16703, 17963, 20371, 16647, 17880, 16437, 21434, 16674, 16647, 17154, 18715, 16767, 16647, 17880, 16437, 21434, 16397, 16582, 16582, 20068, 16647, 18961, 18141, 16673, 16647, 17092, 35646, 16673, 28371, 17112, 16767, 16647, 36431, 27258, 17751, 24113, 17618, 16604, 16391, 16427, 29962, 16392, 16734, 16647, 20128, 16673, 18712, 16604, 16406, 17880, 16437, 16395, 16647, 16790, 29962, 16704, 17178, 18625, 17586, 16671, 22597, 31239, 28792, 16767, 16647, 17880, 16437, 21434, 16397, 16772, 26840, 16673, 17009, 28792, 16767, 16647, 17880, 16437, 21434, 16741, 17204, 16741, 16647, 59502, 43522, 16645, 16944, 16704, 16647, 17367, 31239, 16672, 16647, 27508, 16671, 16703, 20206, 21852, 16704, 16647, 17154, 17889, 21136, 16673, 16647, 16790, 29962, 16397, 17360, 28792, 20371, 16647, 27508, 16395, 18266, 22603, 16395, 16868, 26421, 16641, 24623, 16672, 31239, 28792, 16397, 16582, 16582, 21925, 16395, 16728, 16704, 20698, 18230, 16721, 17199, 16980, 17009, 28792, 20371, 16647, 27508, 22685, 23496, 16395, 16647, 18712, 21434, 16673, 17009, 28792, 17699, 16703, 20371, 16647, 16790, 29962, 20378, 16674, 16721, 16647, 16790, 29962, 17120, 17393, 17097, 16647, 59502, 43522, 16645, 16850, 18530, 18118, 16397, 17170, 16704, 16647, 16859, 16396, 25582, 16604, 16894, 21236, 31315, 26095, 16900, 16397, 16772, 24340, 49819, 32768, 27615, 16767, 16647, 16790, 25306, 17123, 17564, 16811, 26095, 16397, 16772, 16790, 25306, 21378, 16872, 20916, 21748, 29058, 16673, 16647, 27508, 16734, 18466, 16674, 16872, 19194, 17238, 22660, 32043, 16709, 17009, 28792, 28578, 16397, 17119, 18328, 16991, 16673, 17975, 16396, 16826, 22651, 30429, 28164, 47928, 17131, 16647, 27508, 33536, 17585, 16741, 20176, 28164, 21715, 16809, 42316, 16891, 16991, 17009, 28792, 19938, 16395, 17187, 16647, 21434, 16673, 17009, 28792, 16704, 29781, 16809, 16641, 59379, 21434, 16673, 16647, 28164, 16397, 16999, 16872, 16992, 19628, 18331, 16442, 16415, 18732, 16431, 17603, 16705, 18289, 16444, 16721, 16647, 19251, 21011, 16709, 16647, 59379, 21434, 18201, 16809, 16647, 18466, 16673, 16647, 16790, 25306, 21378, 16704, 18399, 16671, 16604, 16400, 16399, 17880, 16437, 18661, 17032, 16604, 16400, 17880, 16437, 16397, 17170, 17551, 16704, 16647, 16859, 16396, 25582, 16604, 16894, 18732, 16431, 43058, 16900, 16397, 17426, 17274, 18846, 41959, 28164, 16769, 16815, 21703, 17743, 19938, 16673, 17009, 28792, 16395, 16647, 21434, 16673, 17009, 28792, 24166, 17473, 16604, 16400, 16399, 17880, 16437, 16395, 20371, 16647, 20378, 16673, 16647, 16790, 29962, 16397, 17376, 16647, 21434, 16673, 17009, 28792, 21083, 18846, 16395, 16647, 19588, 17552, 16673, 16647, 27508, 19353, 37725, 16397, 18523, 16395, 16715, 16647, 16604, 16400, 16399, 17880, 16437, 21434, 16395, 16647, 19655, 16396, 16467, 48959, 19062, 16671, 22074, 16647, 19889, 24340, 49819, 21434, 16704, 16804, 16859, 18650, 16850, 16931, 16641, 17589, 18448, 17743, 18331, 16442, 16415, 16426, 17082, 16448, 16409, 16401, 16399, 16399, 16399, 35695, 16444, 16397, 24423, 17687, 39556, 17123, 16703, 22951, 16672, 19927, 16397, 16582, 16582, 18301, 16647, 16977, 17459, 16395, 18961, 19001, 42630, 18918, 28101, 16395, 16672, 18343, 16395, 16647, 64708, 23785, 39670, 17008, 48980, 32392, 17359, 17100, 16604, 16391, 43950, 18987, 16392, 29523, 18331, 16442, 16415, 54532, 46553, 16409, 16401, 16399, 16399, 16407, 51365, 16444, 16395, 16807, 20916, 16647, 16604, 16387, 16443, 31962, 16387, 22942, 16428, 42630, 18918, 18528, 16734, 16641, 17369, 26656, 16397, 16772, 47803, 33620, 16673, 16647, 21306, 19851, 18798, 16767, 16604, 16401, 16387, 16443, 24565, 16387, 17743, 16704, 23975, 16741, 16604, 16387, 16387, 16443, 18364, 16474, 46162, 16476, 16582, 16650, 16443, 28246, 16446, 16474, 16443, 19226, 21305, 16428, 16476, 16678, 16445, 16401, 16604, 16412, 16604, 16399, 16397, 16400, 16400, 16402, 16400, 16604, 16443, 19673, 16604, 16399, 16397, 16399, 16399, 16402, 16403, 16397, 16650, 16443, 16806, 16474, 46162, 16476, 16387, 16387, 17999, 35138, 16647, 19927, 16673, 16647, 19851, 18798, 16704, 17363, 16641, 23490, 17671, 18234, 16672, 31239, 28792, 16674, 42630, 17595, 16397, 21123, 16647, 27508, 16872, 17028, 25105, 22886, 16715, 16647, 21306, 19851, 18798, 16395, 16647, 28536, 16673, 16647, 19851, 18798, 24396, 17009, 28792, 20371, 16647, 27508, 16397, 21414, 23503, 16715, 19851, 18798, 16807, 16992, 21270, 16672, 19001, 17009, 28792, 20609, 16397, 16582, 16582, 33922, 18295, 29422, 16395, 16647, 63213, 16697, 20619, 47619, 56739, 18748, 17972, 16604, 16391, 16438, 19806, 16431, 16392, 16704, 16917, 16673, 16647, 17154, 29334, 23503, 16715, 19851, 18798, 16674, 16672, 16811, 17843, 16395, 16647, 19851, 18798, 16672, 16647, 17875, 24855, 16704, 16647, 29038, 47803, 16674, 17073, 47803, 33620, 16704, 61798, 16671, 16647, 18496, 16673, 16647, 18334, 24855, 17329, 16647, 37160, 16396, 16833, 17005, 16673, 16647, 19851, 18798, 31239, 16395, 17274, 16741, 16647, 25013, 16673, 36536, 17160, 17135, 28477, 19104, 16397, 17170, 26095, 20634, 16907, 16671, 26828, 16647, 19851, 18798, 47803, 24892, 16809, 32420, 16647, 51721, 16473, 23474, 26832, 16395, 16674, 16742, 26719, 16767, 16641, 17238, 19550, 25228, 16409, 16672, 17970, 16671, 19646, 16647, 17262, 47803, 33620, 16395, 16647, 16762, 19806, 16431, 19851, 18798, 19027, 24166, 19057, 16647, 17880, 16437, 16397, 23466, 16395, 17199, 16980, 16647, 35810, 26095, 16704, 22951, 16395, 16728, 16704, 43625, 16721, 16647, 19027, 21434, 16673, 16647, 16762, 19806, 16431, 19851, 18798, 16704, 25636, 16671, 16647, 16790, 29962, 16397, 16582, 16582, 17071, 16811, 19420, 16395, 16742, 25929, 16647, 27508, 16809, 32728, 16647, 16762, 19806, 16431, 19851, 18798, 16672, 16647, 20409, 16673, 16647, 35810, 26095, 16395, 16674, 26426, 16641, 23384, 16721, 16647, 16762, 19806, 16431, 19851, 18798, 16843, 27210, 16647, 35810, 26095, 17181, 19001, 24791, 17595, 17274, 16741, 16647, 19851, 18798, 47803, 33620, 16395, 16647, 17815, 25939, 25717, 16715, 16647, 19851, 18798, 31239, 16395, 16674, 16790, 29962, 28792, 16397, 27385, 17259, 29422, 16395, 16742, 18328, 16647, 16604, 16894, 16470, 48397, 17843, 16900, 16721, 16647, 16762, 19806, 16431, 19851, 18798, 16704, 17948, 17901, 17131, 16647, 27508, 33536, 17585, 16395, 21327, 16647, 16762, 19806, 16431, 19851, 18798, 16843, 16703, 20283, 21852, 17181, 17073, 36202, 16734, 16647, 21801, 33536, 43522, 16645, 16397, 16875, 16811, 27130, 16395, 16647, 16762, 19806, 16431, 19851, 18798, 64044, 16734, 16647, 27508, 27596, 17181, 17073, 36202, 16734, 16647, 59502, 43522, 16645, 16395, 16859, 16721, 16647, 59502, 43522, 16645, 21846, 16641, 25573, 18814, 16672, 24791, 17595, 16673, 19851, 18798, 16397, 16582, 16582, 16853, 19420, 16704, 25095, 16741, 21983, 16397, 16875, 16647, 17718, 19648, 16395, 16742, 26551, 16647, 16762, 19806, 16431, 19851, 18798, 16944, 16704, 17948, 17901, 17131, 16647, 27508, 33536, 17585, 16397, 17119, 18328, 17567, 17476, 19140, 16715, 16647, 19851, 18798, 31239, 16410, 16641, 46670, 16395, 54066, 16679, 16674, 27280, 19851, 18798, 16395, 22358, 16397, 16875, 19648, 16604, 16402, 16395, 16742, 26426, 42630, 18918, 22797, 16673, 16647, 16762, 19806, 16431, 19851, 18798, 16674, 21986, 16641, 25594, 19599, 16944, 16704, 23354, 16734, 16647, 16762, 44197, 28536, 16674, 16647, 17815, 25939, 27615, 16715, 16647, 16762, 19806, 16431, 19851, 18798, 16397, 16772, 19094, 17618, 21686, 16673, 16647, 19851, 18798, 31239, 16704, 33114, 16672, 19648, 16604, 16403, 16397, 16772, 19851, 18798, 27596, 16769, 21047, 16767, 16647, 16790, 29962, 19970, 16734, 16647, 59502, 43522, 16645, 19378, 16397, 16772, 17367, 19648, 16704, 30375, 16671, 25698, 16674, 26648, 16397, 16582, 16582, 16853, 26712, 16604, 16474, 16386, 37256, 16401, 16476, 16582, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16582, 16582, 23097, 16858, 17009, 27596, 20302, 16641, 16762, 19806, 16431, 19851, 18798, 16769, 21234, 16671, 16703, 16767, 16647, 21434, 16673, 16604, 16400, 16399, 17880, 16437, 16672, 16647, 35810, 26095, 16395, 16647, 20176, 31172, 20197, 17060, 16767, 16647, 21434, 16673, 16604, 16400, 17880, 16437, 25290, 17097, 16641, 18676, 16673, 16647, 16762, 19806, 16431, 19851, 18798, 16674, 17310, 16673, 16647, 27508, 27596, 16397, 17119, 18328, 16647, 22085, 17843, 16673, 16647, 16762, 19806, 16431, 19851, 18798, 16395, 30807, 16647, 19851, 18798, 16704, 26511, 16671, 16703, 17948, 17901, 17131, 33536, 30653, 18012, 16673, 16647, 27508, 16397, 32906, 16395, 16647, 16762, 19806, 16431, 19851, 18798, 29380, 18645, 16641, 23057, 21264, 16734, 19027, 16767, 16647, 21434, 17827, 17032, 16604, 16400, 17880, 16437, 16395, 16944, 16961, 16703, 20283, 27024, 16767, 19094, 17618, 25717, 16672, 18046, 18368, 16395, 16674, 17274, 16641, 26095, 16704, 16804, 35810, 16397, 17119, 17498, 21663, 16647, 19364, 16604, 16387, 16441, 16446, 16401, 16387, 40112, 16604, 16391, 17603, 16798, 16392, 16672, 17970, 16671, 26652, 16647, 26343, 16673, 16647, 19851, 18798, 16395, 17187, 16647, 16762, 19806, 16431, 19851, 18798, 16872, 24461, 20705, 17437, 27596, 16672, 16647, 27508, 16807, 17199, 16917, 16397, 17119, 18328, 17567, 19140, 16715, 16647, 23903, 16673, 16647, 19851, 18798, 16410, 16647, 46670, 19851, 18798, 16604, 16387, 16443, 22853, 16387, 16395, 16647, 54066, 16679, 19851, 18798, 16604, 16387, 16443, 24548, 16387, 16395, 16674, 16647, 27280, 19851, 18798, 16604, 16387, 16437, 16446, 16443, 21685, 16387, 16397, 16875, 16858, 19140, 16395, 16647, 19851, 18798, 16704, 26511, 16671, 16703, 16667, 29329, 31239, 16715, 38355, 16395, 16859, 16721, 17213, 16769, 20101, 16809, 17446, 41027, 16396, 61989, 16395, 26481, 18599, 16395, 16674, 17446, 17359, 20038, 22262, 16395, 22358, 16397, 16582, 16582, 16853, 31172, 20197, 17060, 16944, 16704, 47928, 17131, 16647, 30653, 18012, 16673, 16647, 27508, 16704, 19517, 16741, 16604, 16387, 16387, 16443, 18364, 16474, 46162, 16476, 16582, 16604, 16474, 16443, 18336, 16790, 16476, 16446, 16434, 16582, 16604, 16389, 16412, 16389, 16582, 16604, 16474, 16443, 18336, 16790, 16476, 16446, 16474, 16443, 19226, 27508, 16476, 16604, 16394, 16604, 16443, 19873, 16474, 16400, 16476, 16474, 16401, 16476, 16604, 16443, 19911, 16391, 16443, 25000, 16604, 16443, 22853, 16443, 18357, 16392, 16445, 16401, 16604, 16396, 16604, 16443, 19873, 16474, 16428, 16446, 16434, 16445, 16401, 16604, 16476, 16474, 16401, 16476, 16604, 16443, 22853, 16445, 16401, 16582, 16604, 16396, 16604, 16443, 19873, 16474, 16450, 16446, 16434, 16476, 16474, 16401, 16476, 16475, 16423, 16475, 16445, 16401, 16604, 16443, 22853, 16445, 16401, 16604, 16396, 16604, 16443, 19873, 16474, 16451, 16446, 16434, 16476, 16474, 16403, 16384, 16476, 16604, 16443, 22853, 16445, 16403, 16395, 16582, 16604, 16443, 19974, 16474, 16427, 16750, 20197, 17060, 16702, 16476, 16582, 16604, 16443, 16443, 16582, 16604, 16474, 16443, 18336, 16790, 16476, 16446, 16421, 16582, 16604, 16389, 16412, 16389, 16582, 16604, 16474, 16443, 18336, 16790, 16476, 16446, 16474, 16443, 19226, 27508, 16476, 16604, 16394, 16604, 16443, 19873, 16474, 16400, 16476, 16474, 16401, 16476, 16604, 16443, 20097, 16474, 16443, 24548, 16476, 16604, 16443, 19911, 16391, 16456, 16443, 27014, 17323, 16474, 16443, 25000, 16476, 16604, 16396, 16727, 16446, 16421, 16443, 18357, 16392, 16604, 16443, 24548, 16582, 16604, 16396, 16604, 16443, 19873, 16474, 16450, 16446, 16421, 16476, 16474, 16401, 16443, 31962, 16476, 16604, 16475, 16423, 16475, 16445, 16401, 16604, 16443, 20097, 16443, 24548, 16604, 16443, 24548, 16582, 16604, 16396, 16604, 16443, 19873, 16474, 16451, 16446, 16421, 16476, 16474, 16401, 16443, 31962, 16476, 16604, 16443, 20097, 16474, 16443, 24548, 16476, 16443, 24565, 16445, 16474, 16443, 21685, 16443, 23792, 16476, 16443, 24548, 16738, 16446, 16474, 16443, 21685, 16443, 23792, 16476, 16395, 16582, 16604, 16443, 19974, 16474, 16427, 16750, 20197, 17060 ]
[ 0, 16396, 16396, 16396, 16582, 26371, 16409, 16582, 16396, 16604, 16475, 16582, 16696, 31157, 23591, 16997, 16913, 16657, 16387, 16445, 16474, 16400, 16395, 16401, 16476, 16387, 16604, 16395, 26016, 16396, 57139, 16711, 19657, 32772, 16466, 16387, 16445, 16400, 16387, 16395, 16443, 16582, 16696, 24122, 21794, 18575, 29861, 22032, 17901, 16387, 16445, 16402, 16387, 16395, 22241, 19173, 22174, 16835, 16387, 16445, 16401, 16387, 16443, 16582, 16696, 16442, 16604, 16387, 16391, 16445, 16400, 16392, 16387, 20313, 16698, 16774, 27293, 17169, 20298, 21239, 16774, 64067, 17455, 16395, 25856, 29306, 64067, 17455, 16604, 16402, 16395, 21298, 16444, 16474, 16476, 16443, 16582, 16696, 16442, 16604, 16387, 16391, 16445, 16401, 16392, 16387, 45949, 18311, 16395, 64067, 17455, 16395, 21298, 16444, 16474, 16476, 16443, 16582, 16696, 16442, 16604, 16387, 16391, 16445, 16402, 16392, 16387, 16921, 18221, 17385, 49592, 24459, 16395, 64067, 17455, 16395, 21298, 16444, 16474, 16476, 16443, 16582, 16696, 16442, 22221, 23591, 16397, 16717, 16913, 16657, 16415, 18008, 16397, 16720, 16821, 16396, 16467, 19413, 17455, 16397, 20544, 16444, 16474, 16476, 16582, 16449, 34289, 20147, 16409, 16582, 16396, 16604, 16390, 16449, 34289, 16462, 16397, 54690, 16390, 16582, 23718, 16409, 16711, 41476, 32618, 18528, 16715, 16647, 38483, 16673, 29843, 40066, 23262, 35233, 18813, 16604, 16582, 16396, 16396, 16396, 16582, 16582, 38194, 16582, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16582, 16582, 18621, 20572, 26683, 38832, 16769, 37667, 19122, 16715, 28523, 16674, 40212, 16673, 34130, 16396, 24902, 16429, 19445, 33712, 17434, 16674, 16667, 23874, 32426, 16673, 16811, 37555, 16704, 19865, 16397, 19736, 20199, 16704, 16671, 25018, 16647, 27859, 16673, 26294, 17019, 16673, 20169, 26683, 23262, 16972, 17005, 20666, 16604, 16391, 18673, 16392, 16397, 16582, 16582, 20965, 17586, 17280, 16395, 44785, 16815, 16604, 16442, 16415, 19355, 20573, 16426, 63361, 16444, 16395, 25438, 16673, 16604, 16407, 16399, 17202, 16673, 25472, 16673, 16647, 16859, 18047, 16604, 16402, 18626, 19501, 21304, 16604, 16391, 17756, 16604, 16894, 28794, 26298, 40686, 16900, 16392, 16397, 16772, 19501, 21304, 21102, 24097, 16647, 27859, 16673, 53649, 19085, 16680, 34050, 19962, 16395, 17655, 17586, 16815, 16604, 16400, 16402, 19615, 34509, 16397, 21604, 16647, 17867, 42644, 19599, 16704, 16804, 21900, 16809, 17213, 16604, 16400, 16402, 19615, 34509, 16395, 16873, 16769, 20790, 16858, 17030, 16647, 21006, 16674, 16647, 22643, 16673, 16647, 19501, 21304, 16704, 18661, 19364, 16397, 16772, 19501, 21304, 16704, 16647, 25544, 27026, 16673, 16647, 41415, 19990, 16396, 24609, 21304, 16908, 16463, 16395, 16734, 16647, 17396, 32696, 18586, 16673, 16604, 16402, 18626, 16397, 16772, 16908, 16463, 21304, 16395, 16674, 27626, 16647, 19501, 21304, 16395, 36423, 16671, 16641, 47256, 28593, 16673, 16647, 26683, 18676, 17030, 16641, 16604, 16402, 18626, 18472, 16397, 21125, 16604, 16442, 16415, 19355, 20573, 16426, 63361, 16444, 16715, 16922, 20184, 16709, 19085, 16680, 34050, 41059, 16397, 16772, 19501, 21304, 16704, 18125, 16815, 16604, 16400, 16408, 16402, 16401, 16671, 17875, 16850, 16715, 17038, 19335, 16742, 16868, 17231, 17097, 16647, 16604, 16406, 18293, 23838, 32587, 16673, 16647, 17586, 17280, 16395, 16815, 16647, 16604, 16400, 16406, 16757, 16604, 16391, 16645, 16647, 18723, 17685, 16392, 16944, 21833, 16709, 19118, 16604, 16400, 16408, 16402, 16402, 16395, 16671, 16647, 16604, 16401, 16402, 16757, 16944, 22866, 16709, 19293, 16604, 16401, 16399, 16399, 16407, 16397, 16582, 16582, 18377, 16769, 16977, 17586, 18125, 16715, 16647, 18077, 16673, 16647, 29843, 40066, 26683, 19962, 16395, 17492, 16673, 17007, 16734, 28613, 16674, 49807, 16409, 16582, 16582, 16396, 16647, 16641, 16448, 21304, 16604, 16391, 17756, 16604, 16894, 16795, 16919, 58577, 40686, 16900, 16392, 16397, 21604, 16811, 21304, 16704, 18125, 17608, 16604, 16400, 16407, 16405, 16407, 16395, 16728, 16704, 25722, 16815, 17097, 17142, 20113, 60876, 58577, 19085, 16680, 34050, 25958, 16672, 20635, 16674, 20727, 16397, 23121, 16395, 16811, 17193, 16880, 17257, 16804, 17391, 17065, 18375, 16858, 16647, 26683, 19962, 16673, 16647, 29843, 40066, 16397, 16582, 16582, 16396, 16647, 16759, 16684, 16604, 16391, 31594, 19380, 16940, 23262, 17005, 16392, 16397, 17170, 21304, 16704, 30014, 16671, 16647, 17867, 42644, 26683, 63293, 16604, 16391, 19914, 25173, 16604, 16443, 16442, 19327, 16604, 16409, 23307, 16452, 16443, 16446, 23970, 16443, 16444, 16392, 16397, 26367, 16395, 16986, 16769, 17097, 16604, 16404, 16406, 17202, 16673, 25472, 18125, 17647, 16604, 16407, 16399, 16715, 16647, 19501, 21304, 16397, 48557, 16395, 16811, 17193, 16880, 19353, 16647, 21483, 16671, 16703, 16667, 16819, 16449, 23967, 32415, 30094, 16671, 16647, 19501, 21304, 16944, 24166, 16672, 16641, 31471, 17280, 16673, 17975, 29551, 19508, 57515, 16604, 16391, 19914, 23728, 16604, 16443, 16442, 21095, 16604, 16409, 29144, 16443, 16444, 16392, 16397, 16582, 16582, 16396, 16647, 25424, 19085, 16680, 34050, 17586, 16769, 17027, 18125, 16715, 17259, 19085, 16680, 34050, 19615, 34509, 16397, 22411, 16765, 28101, 19346, 17141, 16671, 16604, 16400, 16407, 16407, 16402, 16715, 49881, 19795, 16674, 16671, 16604, 16400, 16408, 16405, 16408, 16715, 16604, 16400, 22245, 19795, 16397, 17513, 19881, 16673, 16647, 20165, 16809, 34025, 34801, 16673, 26683, 18676, 30823, 16397, 16772, 42508, 16673, 16811, 17586, 16704, 16647, 21057, 16673, 34448, 16672, 16647, 24025, 16604, 16391, 20110, 24721, 38485, 31993, 16815, 16917, 17634, 16671, 18295, 17202, 23451, 16709, 16647, 19615, 19019, 16392, 16397, 16772, 24893, 42508, 16673, 17213, 17586, 16704, 16647, 30421, 16673, 17036, 16396, 16467, 17010, 17235, 19062, 16397, 16582, 16582, 23097, 16858, 17213, 21304, 17299, 16641, 18354, 28667, 18960, 16604, 16442, 16415, 16433, 39460, 16444, 16395, 16742, 24494, 16671, 17231, 17097, 16917, 17193, 16880, 16671, 17190, 17038, 28830, 16397, 17119, 41722, 16715, 16647, 19501, 21304, 16397, 16772, 17736, 21483, 16673, 16811, 17586, 17280, 16704, 16647, 18122, 18636, 16673, 17586, 16397, 26367, 16395, 16986, 16704, 17028, 24721, 16672, 16647, 19501, 21304, 16395, 30094, 16671, 25424, 19085, 16680, 34050, 17586, 16397, 24229, 16395, 16647, 19501, 21304, 16704, 16922, 19364, 17032, 16641, 16448, 21304, 16785, 16759, 16684, 16395, 16741, 16917, 16843, 17134, 16709, 25173, 16604, 16443, 16442, 19327, 16604, 16409, 23307, 16452, 16443, 16446, 23970, 16443, 16444, 16397, 16582, 16582, 16384, 16442, 29456, 17978, 16673, 16647, 19615, 34509, 16715, 16647, 16759, 16684, 16604, 16391, 16387, 16443, 23183, 23507, 16387, 16392, 16674, 16647, 16908, 16463, 16398, 16904, 41059, 16604, 16391, 16392, 16397, 16442, 16444, 16474, 19280, 16396, 19974, 16412, 16385, 19327, 16604, 16409, 23307, 16452, 16446, 23970, 16385, 16476, 16444, 16391, 24001, 16400, 16397, 27383, 16392, 16474, 21660, 16412, 16385, 16407, 22220, 16385, 22908, 16412, 16385, 16404, 16397, 16404, 22220, 16385, 16476, 16582, 16582, 21643, 18921, 38832, 17255, 38270, 16395, 28054, 29311, 20625, 16715, 27505, 38483, 16395, 16741, 38826, 23790, 16395, 16769, 16804, 24860, 18010, 16397, 16875, 17259, 35057, 16395, 16647, 48114, 29358, 33197, 16604, 16391, 34474, 16435, 16392, 28434, 16671, 25018, 16647, 27505, 16673, 38270, 20169, 19122, 16397, 17403, 16395, 17172, 16673, 16395, 18493, 16977, 17578, 16395, 16647, 31471, 39418, 17510, 16673, 17038, 17586, 16674, 16647, 20212, 17975, 44117, 20937, 16395, 16647, 28977, 16435, 19108, 16703, 21627, 16397, 16443, 16582, 17071, 23728, 16604, 16401, 16395, 16742, 17460, 16647, 24686, 21317, 16721, 16641, 17231, 16673, 28054, 28977, 16435, 16704, 16804, 60781, 16397, 16875, 23728, 16604, 16402, 16395, 16742, 23467, 17038, 17009, 41476, 32618, 18528, 16397, 17170, 16704, 16647, 17736, 25346, 16673, 16811, 19420, 16397, 16772, 23289, 16673, 25594, 20543, 18619, 17120, 16703, 17494, 16672, 23728, 16604, 16403, 16397, 16772, 23728, 16604, 16404, 16704, 22774, 16671, 16647, 24595, 16673, 21003, 16671, 17038, 17586, 17280, 16397, 16582, 16582, 16419, 56903, 16817, 16671, 20206, 20746, 28977, 16435, 16650, 16474, 16386, 21095, 16604, 16409, 29144, 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, 16582, 16582, 17894, 17031, 17329, 16395, 16647, 17092, 42899, 16671, 17815, 19617, 16673, 28977, 16435, 16704, 16647, 42543, 39418, 17510, 16673, 17038, 17586, 16397, 16772, 19501, 21304, 35177, 16672, 16647, 17280, 16604, 16387, 16443, 16474, 16387, 16399, 16395, 16604, 16401, 16395, 16604, 16402, 16395, 16604, 16403, 16395, 16604, 16404, 16395, 16604, 16405, 16395, 16604, 16406, 16395, 16604, 16408, 16395, 16604, 16400, 16401, 16395, 16604, 16400, 16404, 16395, 16604, 16400, 16407, 16395, 16604, 16401, 16401, 16395, 16604, 16401, 16406, 16395, 16604, 16402, 16401, 16395, 16604, 16402, 16408, 16395, 16604, 16403, 16407, 16395, 16604, 16404, 16405, 16395, 16604, 16405, 16406, 16395, 16604, 16407, 16399, 16395, 16604, 16408, 16403, 16395, 16604, 16400, 16400, 16400, 16395, 16604, 16400, 16402, 16401, 16395, 16604, 16400, 16404, 16403, 16395, 16604, 16400, 16406, 16408, 16395, 16604, 16401, 16399, 16406, 16395, 16604, 16401, 16402, 16405, 16395, 16604, 16402, 16399, 16399, 16395, 16604, 16403, 16399, 16399, 16387, 16443, 16476, 16387, 16397, 16772, 19617, 16673, 48114, 29358, 33197, 39598, 16647, 40212, 16673, 16647, 27505, 21559, 16674, 16728, 16704, 17204, 18365, 16721, 28977, 16435, 17257, 16804, 20746, 16671, 39418, 31471, 28101, 16395, 17134, 16715, 18185, 16604, 16442, 16415, 63654, 16400, 16408, 16406, 16399, 16444, 16397, 16582, 16582, 16853, 17551, 16721, 31471, 39418, 17586, 16829, 16804, 20502, 16672, 16647, 25174, 16673, 16647, 21193, 16704, 16804, 16647, 17097, 18710, 16397, 28106, 16395, 16672, 17843, 16673, 38023, 17030, 27421, 32426, 16395, 16917, 16872, 16671, 20446, 16641, 27421, 16397, 16772, 20100, 16673, 16647, 29682, 27421, 16704, 17366, 37600, 16647, 20937, 16673, 16647, 23239, 18745, 16671, 16641, 27421, 28593, 16397, 17170, 16704, 16395, 20698, 22538, 16395, 16804, 18230, 16734, 39418, 17586, 16397, 17544, 18185, 16395, 17134, 16647, 16985, 16673, 18035, 42247, 16395, 16793, 28947, 19574, 16674, 16793, 17370, 17795, 16604, 16442, 16415, 22520, 42247, 16429, 17370, 17795, 16401, 16399, 16399, 16406, 16444, 16395, 17187, 16647, 18229, 32768, 16673, 16647, 20165, 18199, 17586, 18546, 39418, 16397, 20195, 16395, 17014, 16647, 27421, 30983, 16903, 16395, 16917, 16843, 29729, 16641, 18831, 16928, 17201, 20937, 16673, 23239, 20543, 18619, 16674, 16811, 18199, 16647, 27421, 22525, 36910, 16838, 16397, 16443, 16582, 16416, 17711, 18234, 16704, 16721, 19501, 21304, 17586, 22842, 17299, 16641, 17975, 44117, 20610, 16397, 16999, 16704, 17204, 18365, 16721, 16647, 20346, 19962, 21983, 32587, 16734, 16641, 27329, 16673, 16931, 16604, 16400, 16400, 17202, 16397, 51778, 16661, 32587, 16769, 55412, 16672, 19501, 21304, 20937, 16674, 17724, 16703, 18711, 17065, 18375, 16715, 18528, 23405, 16397, 17170, 20937, 30270, 16721, 16647, 27505, 16673, 16641, 26683, 23262, 35233, 23825, 16709, 16647, 18583, 17065, 16647, 23093, 16397, 21125, 25173, 16604, 16443, 16442, 32097, 18581, 16401, 16443, 16444, 16395, 16715, 18185, 16397, 16582, 16582, 16384, 16442, 16853, 19501, 21304, 17560, 16647, 17092, 18293, 23093, 16604, 16391, 16400, 16406, 16387, 16445, 16474, 16757, 16476, 16387, 16709, 16647, 18723, 17685, 16395, 16815, 19118, 16604, 16400, 16408, 16402, 16402, 16671, 19557, 16604, 16400, 16408, 16403, 16403, 16392, 16397, 16772, 52569, 28720, 18089, 23294, 16647, 25442, 16397, 16442, 16444, 16474, 19280, 16396, 19974, 16412, 16385, 32097, 18581, 16401, 16385, 16476, 16444, 16391, 24001, 16401, 16397, 27383, 16392, 16474, 21660, 16412, 16385, 16407, 22220, 16385, 22908, 16412, 16385, 16405, 16397, 16404, 22220, 16385, 16476, 16582, 16582, 19494, 16843, 17134, 16647, 17092, 18293, 23838, 23093, 16673, 16647, 17586, 17280, 16397, 21656, 20231, 16704, 24483, 16809, 16641, 28720, 52569, 18089, 16397, 18483, 22842, 31347, 16721, 18354, 38832, 16604, 16391, 40077, 17521, 16809, 16641, 17362, 19501, 21304, 17743, 16392, 19947, 61061, 17560, 16647, 17711, 18519, 16673, 16647, 23093, 16397, 23121, 16395, 16728, 16704, 16804, 29195, 16671, 18528, 16811, 20937, 16809, 16641, 19749, 44117, 20169, 18020, 18528, 16604, 16391, 16452, 16397, 16454, 16397, 16734, 22551, 23239, 16392, 16397, 16711, 16922, 22547, 19474, 16868, 16703, 16671, 18379, 17975, 16396, 33755, 30647, 16672, 23239, 38483, 16397, 17403, 18266, 17244, 16395, 16715, 16811, 18383, 16673, 22089, 16395, 16986, 16704, 17028, 18723, 21193, 22764, 17274, 16641, 32426, 16397, 16582, 16582, 17071, 19001, 18147, 22262, 16945, 22960, 34500, 16395, 17975, 44117, 20169, 20609, 16769, 21270, 16397, 17544, 18185, 16395, 17134, 16647, 16985, 16673, 29429, 16674, 16799, 16470, 16890, 16604, 16442, 16415, 49823, 16401, 16399, 16400, 16400, 16444, 16397, 16875, 16811, 19420, 16395, 22900, 17137, 16671, 18528, 16647, 18217, 17854, 16673, 20169, 27326, 16672, 16647, 16695, 20719, 16673, 22729, 16397, 29603, 16713, 17643, 18960, 16674, 27859, 16673, 23262, 25442, 19122, 24195, 16734, 18217, 16397, 17999, 18528, 16811, 35559, 17717, 16395, 16647, 22900, 16807, 23461, 16671, 21398, 16647, 20405, 17521, 16739, 16953, 16928, 23239, 16741, 16641, 17917, 16673, 35559, 20157, 17655, 16641, 55434, 17510, 16397, 17403, 16811, 19474, 17237, 21243, 16721, 16647, 28054, 28977, 16435, 16843, 16703, 21627, 16395, 16674, 16811, 16704, 16804, 16647, 17843, 16734, 16647, 17586, 17280, 17405, 16672, 16811, 19420, 16397, 16582, 16582, 23726, 23289, 16582, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16582, 16582, 17071, 16811, 19648, 16395, 16742, 17882, 16641, 24860, 23208, 16673, 17016, 16742, 17322, 16641, 23262, 16395, 23467, 17586, 16674, 18225, 17010, 17235, 16604, 16391, 47831, 19483, 16803, 17912, 16674, 17005, 18088, 20000, 16392, 16397, 17119, 17027, 23467, 16647, 18528, 16742, 19789, 16674, 17073, 28613, 16397, 16582, 16582, 48660, 23208 ]
[ 0, 16582, 16405, 16403, 16407, 16773, 16397, 23182, 16397, 16401, 16451, 16604, 16400, 16407, 16604, 16391, 16401, 16399, 16399, 16408, 16392, 16582, 17904, 16397, 52551, 23328, 20308, 16390, 16434, 48634, 38804, 16719, 55368, 16395, 17605, 16813, 16397, 16395, 41796, 26428, 16395, 16582, 16469, 16397, 16582, 57787, 33745, 26069, 16417, 20308, 16424, 18763, 16395, 16442, 16400, 16444, 23387, 16673, 16647, 19542, 16673, 19218, 16674, 22316, 21354, 16395, 56176, 16397, 16582, 51594, 25511, 51199, 16397, 16604, 16399, 16406, 16396, 16401, 16399, 16402, 16405, 16604, 16391, 24902, 16434, 16392, 16395, 16604, 16399, 16406, 16396, 16400, 16403, 16407, 16403, 16604, 16391, 24902, 16434, 16392, 16397, 16582, 32384, 18644, 21599, 19758, 16395, 21599, 16673, 26396, 16397, 16582, 30500, 16604, 16401, 16405, 16395, 16604, 16401, 16399, 16399, 16408, 16397, 16582, 16393, 16400, 16408, 44635, 16908, 37472, 16396, 43624, 17017, 16395, 17683, 24522, 19976, 16395, 25504, 16395, 16715, 41796, 26428, 16397, 16582, 57855, 16702, 16397, 27302, 16395, 16876, 16397, 16434, 16397, 27330, 16390, 16466, 21146, 16395, 21524, 16718, 23216, 41490, 41267, 16395, 16876, 16397, 16434, 16397, 19542, 16673, 19218, 16604, 16389, 22316, 21354, 16395, 20059, 16395, 23675, 16395, 16715, 56176, 16397, 16582, 16582, 55423, 18092, 23849, 22598, 23907, 17681, 19429, 16582, 20321, 59296, 16796, 16397, 16702, 22509, 20137, 18013, 16395, 21599, 27735, 16397, 16582, 19733, 19621, 26428, 16769, 23993, 16396, 27897, 23972, 26888, 22963, 19642, 50584, 16815, 16647, 23387, 16673, 19218, 16674, 22316, 21354, 16604, 16391, 16385, 18280, 32006, 16385, 16785, 16647, 16604, 16385, 62997, 16385, 16392, 16715, 60272, 18373, 44320, 19194, 16671, 32229, 45636, 17560, 26540, 17202, 16604, 16391, 16385, 52409, 16385, 16392, 16604, 16401, 16399, 16399, 16399, 16674, 16604, 16401, 16399, 16399, 16400, 16397, 16442, 16401, 16444, 16772, 21588, 23165, 19532, 43506, 16715, 25698, 25926, 16395, 16944, 16811, 19758, 23541, 16671, 16641, 19538, 49059, 22948, 16715, 16641, 21869, 16674, 48415, 16725, 16397, 19360, 32501, 17329, 16647, 19758, 16769, 16647, 21588, 16390, 45866, 16671, 16647, 21869, 16674, 48415, 16725, 16397, 33269, 25809, 25381, 16673, 16647, 21869, 16674, 48415, 16725, 16395, 16647, 21588, 16390, 45866, 16674, 24739, 16671, 45866, 16395, 16647, 19532, 43506, 16395, 24739, 16674, 38543, 57108, 16395, 16647, 26524, 17780, 16395, 16647, 18734, 18156, 31360, 16395, 16674, 16715, 16647, 20541, 22039, 19057, 16395, 16647, 19758, 53375, 16647, 19538, 49059, 22948, 16390, 16466, 25674, 16395, 29094, 18013, 21653, 30212, 16390, 16466, 22846, 16715, 25698, 25926, 16395, 16674, 16759, 18144, 29381, 44320, 16390, 22846, 16715, 25698, 25926, 16397, 16582, 16582, 16424, 16397, 53819, 26517, 35049, 16582, 16582, 16416, 16397, 32229, 17143, 20912, 31298, 16797, 16674, 16647, 35262, 20801, 45555, 19750, 16582, 16853, 32229, 17632, 16395, 20916, 16809, 31156, 43429, 27101, 16673, 16647, 21589, 22190, 18899, 16395, 16604, 16403, 16401, 16876, 16397, 16434, 16397, 16418, 16397, 16604, 25660, 16604, 16400, 16402, 16408, 16404, 17605, 56617, 16397, 16395, 29617, 16715, 21900, 16604, 16393, 16401, 16399, 19428, 18373, 19194, 16671, 25983, 26661, 16674, 29183, 23936, 16397, 18748, 16711, 16673, 16647, 32229, 17632, 18421, 20847, 24763, 16715, 16395, 18493, 16977, 17578, 16395, 18244, 60272, 20374, 18373, 16397, 21125, 19931, 16397, 16604, 25660, 25660, 16604, 16400, 16402, 16408, 16404, 16450, 16395, 16604, 16400, 16402, 16408, 16404, 16451, 16397, 16772, 36741, 16715, 32229, 16674, 35738, 21354, 16604, 16391, 16385, 16418, 21332, 16385, 16392, 16604, 16391, 50928, 18365, 16741, 16647, 19218, 21621, 19113, 21426, 25185, 16604, 16391, 16385, 29962, 22260, 16385, 16392, 16392, 16704, 16647, 21912, 17989, 16647, 19542, 16673, 19218, 16674, 22316, 21354, 16721, 16872, 16992, 28727, 16809, 16647, 23387, 16671, 39890, 16647, 32229, 17632, 16397, 48410, 16395, 16672, 17762, 16395, 16872, 26811, 16895, 17259, 16673, 32229, 16390, 16466, 30818, 16674, 22526, 22072, 16671, 26540, 47950, 19554, 16395, 16929, 16769, 20698, 19454, 44863, 16397, 21125, 19931, 16397, 16604, 25660, 16604, 16400, 16402, 16408, 16404, 16455, 16397, 16582, 24346, 26888, 17405, 16671, 16703, 38295, 51459, 16715, 16914, 20492, 20079, 16672, 29400, 45636, 16604, 16391, 16676, 17301, 16741, 17310, 20079, 16958, 23655, 16392, 16395, 17154, 26888, 16769, 17178, 38295, 51459, 17181, 16647, 35262, 20801, 45555, 19750, 16604, 16391, 16385, 16431, 19725, 16385, 16392, 16397, 21125, 19931, 16397, 16604, 25660, 16604, 16400, 16402, 16408, 16404, 17512, 16391, 16451, 16392, 16397, 21214, 16647, 16739, 19725, 16395, 26888, 16769, 16604, 16385, 31537, 22184, 20627, 16715, 20557, 18462, 25796, 16673, 19165, 16395, 18365, 16741, 16604, 16447, 51822, 20650, 19359, 19318, 16395, 16390, 16785, 16604, 16447, 24087, 38491, 16397, 16390, 16385, 20758, 35891, 16878, 40236, 16397, 16719, 18178, 16397, 16776, 16397, 17470, 16962, 17075, 16395, 16604, 16403, 16403, 16402, 16773, 16397, 16402, 16451, 16604, 16400, 16405, 16402, 16395, 16604, 16400, 16405, 16407, 16604, 16391, 16401, 16451, 32726, 16397, 16401, 16399, 16399, 16405, 16392, 16604, 16391, 16450, 18883, 16604, 16403, 16401, 16876, 16397, 16434, 16397, 16418, 16397, 16604, 25660, 16604, 16400, 16402, 16408, 16404, 17512, 16391, 16451, 16392, 16392, 16397, 32229, 38159, 17460, 17213, 20627, 16809, 20989, 16641, 16604, 16385, 36904, 31918, 17985, 18960, 49211, 17347, 16604, 16447, 16453, 19222, 18960, 16390, 49211, 19338, 16709, 16647, 19183, 21863, 20079, 16673, 60272, 20374, 18373, 16397, 17513, 17177, 27327, 16641, 20007, 16671, 17492, 23479, 16673, 60272, 19165, 16395, 16785, 16604, 16442, 24087, 16422, 16444, 16397, 16385, 41175, 40236, 16397, 16673, 40968, 16776, 16397, 17485, 16666, 20941, 16395, 16604, 16402, 16407, 16773, 16397, 16402, 16451, 16604, 16400, 16401, 16401, 16404, 16395, 16604, 16400, 16401, 16401, 16406, 16604, 16391, 16419, 16397, 16418, 16397, 16418, 16729, 16397, 16400, 16408, 16408, 16403, 16392, 16604, 16391, 30697, 51495, 44838, 16392, 16397, 16711, 20374, 16390, 16466, 18551, 50584, 16972, 20475, 16704, 21487, 16809, 19133, 19603, 16647, 20475, 16390, 16466, 29658, 16422, 16674, 16647, 20478, 18960, 16395, 17135, 16721, 18960, 16872, 16992, 16604, 16385, 36904, 17521, 16385, 16809, 18065, 36878, 18138, 16709, 16641, 20710, 16673, 20671, 16397, 21125, 16604, 16403, 16401, 16876, 16397, 16434, 16397, 16418, 16397, 16604, 25660, 16604, 16400, 16402, 16408, 16404, 17512, 16391, 16451, 16392, 16391, 16401, 16392, 16391, 16418, 16392, 16604, 16391, 19950, 16661, 16647, 20671, 17405, 16715, 19749, 17873, 16392, 16397, 16582, 18313, 18375, 16715, 23275, 30823, 16672, 21800, 20079, 16395, 16647, 23387, 21498, 16466, 16647, 21800, 16396, 21670, 22459, 16673, 16647, 20478, 18960, 16809, 16641, 65247, 18462, 21348, 25662, 23541, 16671, 16741, 16647, 16604, 16385, 16470, 16898, 21304, 16397, 16385, 21125, 16604, 16403, 16401, 16876, 16397, 16434, 16397, 16418, 16397, 16604, 25660, 16604, 16400, 16402, 16408, 16404, 17512, 16391, 16451, 16392, 16391, 16402, 16392, 16391, 16420, 16392, 16391, 16456, 16392, 16397, 38403, 16395, 16604, 25660, 16604, 16400, 16402, 16408, 16404, 17512, 16391, 16451, 16392, 16391, 16402, 16392, 16391, 16420, 16392, 16391, 16456, 16392, 19619, 16721, 16582, 17347, 23387, 19265, 21498, 16647, 28167, 16395, 16604, 16391, 16676, 23381, 16809, 16647, 23387, 16815, 17005, 16671, 17005, 16392, 16673, 26888, 16390, 20079, 16944, 16769, 50647, 16671, 30850, 16674, 28058, 16396, 21670, 20079, 16395, 16673, 16647, 29658, 16422, 33667, 22526, 20627, 37589, 17131, 17242, 49986, 16604, 16391, 16419, 16392, 16715, 18124, 22383, 16672, 20374, 28058, 19415, 16809, 16641, 21348, 16604, 16391, 45613, 16809, 16647, 23387, 16392, 35846, 16647, 20192, 20374, 28058, 17743, 16672, 16647, 39392, 18124, 16673, 16647, 20374, 19739, 16671, 16647, 18982, 19183, 20374, 28058, 17743, 16397, 16582, 19157, 16397, 16410, 17134, 17027, 21623, 22480, 22433, 63157, 16397, 40236, 16397, 16776, 16397, 30108, 16395, 16604, 16401, 16408, 16406, 16773, 16397, 16402, 16451, 16604, 16401, 16406, 16402, 16395, 16604, 16401, 16406, 16405, 16604, 16391, 16402, 16451, 32726, 16397, 16401, 16399, 16399, 16401, 16392, 16604, 16391, 16385, 16853, 28058, 21304, 42252, 16647, 19183, 49881, 28058, 16715, 26888, 16672, 16641, 18201, 39392, 18124, 16734, 16647, 18982, 19183, 49881, 28058, 16395, 16944, 16672, 17762, 34158, 16647, 22526, 18960, 18568, 16785, 19057, 16647, 18982, 19183, 16767, 16944, 16641, 20374, 16704, 38295, 51459, 16397, 16772, 28058, 16396, 21190, 16715, 16667, 18124, 20698, 27352, 16671, 16858, 26888, 27288, 20186, 17989, 16721, 39392, 18124, 16397, 16385, 16604, 16391, 30697, 51495, 44838, 16392, 16392, 16397, 16582, 16582, 16417, 16397, 51117, 54091, 16395, 17143, 19336, 18698, 16395, 16674, 16647, 33943, 16709, 16647, 16762, 16898, 28078, 16582, 18264, 16647, 23185, 16673, 16647, 28058, 21304, 16395, 16647, 23387, 17568, 24097, 16641, 20374, 16741, 17255, 20186, 16672, 18422, 16667, 23972, 16785, 24885, 18124, 17655, 37775, 47841, 48797, 16604, 16391, 16385, 21332, 17894, 16385, 16392, 16395, 16741, 21365, 16809, 16647, 24024, 21146, 16673, 20943, 16674, 32615, 16397, 21125, 16604, 16403, 16401, 16719, 16397, 16421, 16397, 16433, 16397, 16604, 25660, 16604, 16403, 16400, 16401, 16397, 16405, 16403, 16397, 40637, 19310, 16721, 17213, 39392, 30981, 24218, 35432, 16641, 27422, 16709, 16991, 26888, 16395, 16442, 16402, 16444, 20931, 16604, 16393, 16401, 16400, 33891, 16647, 32229, 36491, 16604, 16385, 16928, 17823, 16641, 20374, 16671, 22417, 16691, 19336, 18698, 16815, 17073, 65247, 16396, 19338, 28058, 18124, 16671, 16641, 24777, 28058, 18124, 16715, 22526, 23185, 16980, 16728, 26894, 18244, 25145, 16397, 16385, 21623, 22480, 22433, 16395, 16604, 16401, 16408, 16406, 16773, 16397, 16402, 16451, 16767, 16604, 16401, 16406, 16405, 16397, 16772, 17788, 16691, 19336, 18698, 26916, 27284, 16641, 24885, 20374, 16721, 26894, 17310, 25145, 16671, 16691, 19336, 17940, 16741, 23972, 16395, 16674, 36685, 23972, 26888, 16671, 16691, 19336, 17940, 18422, 16741, 24885, 16785, 16671, 17653, 18846, 16396, 16470, 16898, 23972, 18124, 16397, 21125, 16604, 16403, 16401, 16876, 16397, 16434, 16397, 16418, 16397, 16604, 25660, 25660, 16604, 16400, 16402, 16408, 16404, 17512, 16391, 16451, 16392, 16391, 16407, 16392, 16391, 16417, 16392, 16391, 16456, 16392, 16604, 16389, 16604, 16391, 16451, 16392, 16391, 16400, 16399, 16392, 16410, 16604, 16403, 16401, 16719, 16397, 16421, 16397, 16433, 16397, 16604, 25660, 25660, 16604, 16403, 16400, 16401, 16397, 16401, 16402, 16399, 16396, 16403, 16400, 16401, 16397, 16401, 16402, 16404, 16397, 20931, 17027, 19438, 16647, 32229, 51117, 54091, 21242, 20738, 16395, 16641, 18514, 16396, 31430, 26374, 16721, 23446, 16691, 19336, 18698, 21003, 16674, 16395, 18138, 16709, 16647, 25101, 21007, 16395, 31699, 18515, 16667, 33224, 16704, 25983, 16715, 16691, 19336, 18698, 16397, 21125, 16604, 16403, 16401, 16876, 16397, 16434, 16397, 16418, 16397, 16604, 25660, 16604, 16400, 16402, 16408, 16404, 17512, 16391, 16451, 16392, 16391, 16400, 16399, 16392, 16410, 16604, 16403, 16401, 16719, 16397, 16421, 16397, 16433, 16397, 16604, 25660, 16604, 16403, 16400, 16401, 16397, 16401, 16402, 16399, 16397, 16582, 28382, 20931, 16674, 16647, 23387, 16807, 23611, 16721, 20374, 16691, 19336, 18698, 16843, 30169, 19032, 16647, 28058, 21304, 16715, 17490, 16647, 39392, 18124, 16815, 16944, 16641, 20374, 24435, 17099, 16674, 16647, 17009, 18124, 17065, 16944, 16647, 20374, 17568, 24097, 16397, 16772, 32229, 17632, 20821, 19522, 16715, 23258, 17014, 16647, 28058, 21304, 17586, 16715, 16667, 36464, 24885, 20374, 17724, 16703, 33553, 16815, 16647, 28058, 21304, 16673, 16647, 23972, 18124, 16728, 16704, 26495, 16397, 16604, 16403, 16401, 16876, 16397, 16434, 16397, 16418, 16397, 16604, 25660, 16604, 16400, 16402, 16408, 16404, 17512, 16391, 16451, 16392, 16391, 16407, 16392, 16391, 16418, 16392, 16391, 16456, 16392, 16391, 16424, 16392, 16396, 16391, 19311, 16392, 16397, 44312, 16395, 20931, 25388, 16641, 25610, 16671, 19650, 16647, 28058, 21304, 16673, 16641, 24885, 18124, 16815, 36709, 17014, 16641, 20374, 54927, 16815, 16721, 18124, 16691, 19336, 24097, 17065, 16667, 23972, 18124, 16397, 16442, 16403, 16444, 23531, 19931, 16397, 16604, 25660, 16604, 16400, 16402, 16408, 16404, 17512, 16391, 16451, 16392, 16391, 16407, 16392, 16391, 16418, 16392, 16391, 19904, 16392, 16397, 17933, 17274, 38626, 25610, 23496, 16715, 23972, 19147, 16395, 16850, 17028, 16691, 19336, 18698, 17123, 17539, 16672, 16647, 23789, 16673, 16641, 28058, 21304, 16673, 16998, 23442, 19057, 16721, 16673, 16647, 18490, 16390, 16466, 24885, 19147, 16397, 16442, 16404, 16444, 23531, 19931, 16397, 16604, 25660, 16604, 16400, 16402, 16408, 16404, 17512, 16391, 16451, 16392, 16391, 16407, 16392, 16391, 16418, 16392, 16391, 33410, 16392, 16410, 17134, 17027, 20900, 16397, 16390, 16466, 19055, 30665, 16671, 20981, 49059, 27735, 16390, 16466, 21869, 16604, 16389, 48415, 16725, 16604, 16391, 16385, 21382, 16397, 16390, 16466, 19055, 30665, 16385, 16392, 16767, 16604, 16404, 16604, 16391, 16385, 16442, 16435, 16444, 16643, 18899, 16704, 28186, 16734, 18577, 16671, 17072, 16671, 31284, 16647, 28058, 21304, 16715, 16667, 23972, 18124, 17135, 16641, 20374, 16872, 16691, 60836, 16671, 17653, 18124, 16397, 16397, 16397, 16397, 16385, 16392, 16397, 41796, 26428, 16672, 16811, 28848, 20929, 16647, 23387, 16390, 16466, 17608, 16396, 34069, 19545, 16673, 42393, 16647, 28058, 21304, 16715, 23972, 19147, 17714, 17789, 17586, 16815, 26888, 16721, 16807, 16691, 60836, 17065, 18846, 16396, 16470, 16898, 19147, 16397, 16582, 16582, 16418, 16397, 17143, 19336, 18698, 16674, 31034, 16762, 16898, 28078, 16659, 16582, 16853, 23387, 30362, 52895, 20248, 16672, 16647, 22672, 33419, 20989, 23330, 17490, 16647, 33317, 16715, 42393, 16647, 28058, 21304, 16674, 16647, 28058, 50492, 19172, 16397, 47888, 16672, 16604, 16400, 16408, 16408, 16400, 16395, 16647, 23387, 27362, 31648, 16647, 19031, 16672, 23972, 16691, 19336, 23450, 16674, 16395, 17181, 20865, 16674, 19166, 20866, 25220, 16395, 19570, 19001, 20625, 16671, 31284, 16647, 28058, 21304, 16715, 23972, 19147, 16672, 16647, 25369, 16673, 17274, 16691 ]
[ 0, 38194, 16604, 16474, 16386, 16466, 16400, 16476, 16582, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16582, 16582, 22348, 16761, 29492, 16604, 16391, 50943, 16392, 16704, 16667, 18251, 49906, 46721, 16802, 26390, 29781, 16809, 21764, 19260, 16604, 16391, 26024, 16392, 16395, 18236, 22249, 16656, 58411, 23091, 16604, 16391, 38580, 16392, 16674, 36255, 16949, 17260, 36002, 16397, 24586, 21903, 17242, 30179, 16843, 16703, 34390, 16397, 17824, 16423, 18383, 16604, 16400, 16604, 16391, 50943, 16400, 16392, 16704, 16647, 17154, 22660, 18493, 17007, 17172, 16673, 29987, 59306, 16395, 32157, 36255, 16949, 17260, 24739, 16395, 16674, 19771, 16468, 19173, 16666, 37073, 47830, 16397, 17824, 16423, 18383, 16604, 16401, 16604, 16391, 50943, 16401, 16392, 16704, 29781, 16809, 62752, 29101, 16671, 22660, 59306, 16395, 16734, 16641, 17362, 16396, 44523, 17554, 32804, 26302, 16397, 16772, 36255, 16949, 17260, 17917, 16704, 19732, 16674, 37073, 16673, 47830, 16704, 16672, 16647, 17092, 16785, 17711, 23411, 16397, 16772, 37073, 16673, 16647, 22065, 22665, 17274, 16741, 18097, 57761, 16672, 17824, 16423, 19294, 25231, 18295, 17202, 18242, 17032, 16672, 17824, 16423, 16400, 16397, 17824, 16423, 18383, 16604, 16402, 16604, 16391, 50943, 16402, 16392, 16704, 29781, 16809, 24579, 37073, 16673, 28803, 59306, 16395, 24579, 37073, 16673, 47830, 16395, 16674, 24579, 40124, 16673, 36255, 16949, 17260, 17917, 16604, 16391, 25825, 16671, 32157, 16392, 16604, 16442, 16415, 16463, 16877, 16397, 16399, 16399, 16408, 16399, 16405, 16407, 16407, 16396, 38342, 16885, 17805, 16400, 16444, 16395, 16604, 16442, 16415, 16463, 16877, 16397, 16399, 16399, 16408, 16399, 16405, 16407, 16407, 16396, 16440, 16657, 16400, 16444, 16397, 16582, 16582, 18313, 19346, 16395, 22394, 25998, 16862, 16845, 16715, 17824, 16423, 16400, 16391, 16393, 50943, 16400, 16417, 16396, 16423, 16393, 16395, 16604, 16393, 16425, 16393, 16395, 16674, 16604, 16393, 16426, 16393, 16392, 16807, 16992, 44997, 16671, 60518, 16604, 16400, 16400, 16464, 16400, 16402, 16397, 16404, 16395, 16604, 16400, 16400, 16463, 16400, 16404, 16397, 16400, 16395, 16604, 16400, 16399, 16464, 16401, 16401, 16397, 16400, 16395, 16604, 16401, 16400, 16464, 16401, 16400, 16395, 16604, 16400, 16399, 16464, 16401, 16400, 16396, 16464, 16401, 16401, 16395, 16604, 16400, 16406, 16464, 16401, 16403, 16396, 16464, 16401, 16404, 16395, 16604, 16400, 16404, 16464, 16401, 16401, 16396, 16464, 16401, 16402, 16604, 16391, 16393, 50943, 16400, 16423, 16393, 16674, 16604, 16393, 16425, 16393, 16392, 16395, 16674, 16604, 16400, 16399, 16463, 16400, 16400, 16397, 16401, 16400, 16396, 16396, 16464, 16401, 16400, 16397, 16400, 16604, 16442, 16415, 16463, 16877, 16397, 16399, 16399, 16408, 16399, 16405, 16407, 16407, 16396, 16440, 16657, 16400, 16444, 16395, 16604, 16442, 16415, 16463, 16877, 16397, 16399, 16399, 16408, 16399, 16405, 16407, 16407, 16396, 16425, 17431, 16779, 16458, 16400, 16444, 16395, 16604, 16442, 16415, 16463, 16877, 16397, 16399, 16399, 16408, 16399, 16405, 16407, 16407, 16396, 16433, 31707, 60610, 16400, 16444, 16397, 27538, 16673, 16647, 24284, 24507, 16807, 16992, 21766, 16409, 16647, 63947, 16396, 19338, 22321, 22036, 16887, 50858, 41850, 16448, 16604, 16391, 16393, 38606, 16430, 16406, 16416, 16393, 16395, 17824, 16423, 16400, 16417, 16392, 16604, 16442, 16415, 16463, 16877, 16397, 16399, 16399, 16408, 16399, 16405, 16407, 16407, 16396, 17507, 16724, 16400, 16444, 16410, 17142, 35285, 16761, 16642, 16396, 21670, 26513, 16395, 35285, 16761, 16642, 16604, 16401, 16402, 16604, 16391, 16393, 22942, 16423, 16401, 16402, 16393, 16395, 17824, 16423, 16400, 16419, 16392, 16604, 16442, 16415, 16463, 16877, 16397, 16399, 16399, 16408, 16399, 16405, 16407, 16407, 16396, 16417, 17293, 16400, 16444, 16674, 37513, 49661, 16761, 16642, 16604, 16400, 16404, 16604, 16391, 16393, 21805, 43611, 16400, 16404, 16393, 16395, 17824, 16423, 16400, 16421, 16392, 16604, 16442, 16415, 16463, 16877, 16397, 16399, 16399, 16408, 16399, 16405, 16407, 16407, 16396, 30494, 17801, 16400, 16444, 16410, 16674, 17142, 49506, 17082, 26513, 16395, 38625, 16642, 16604, 16391, 16393, 50943, 16400, 16418, 16393, 16392, 16604, 16442, 16415, 16463, 16877, 16397, 16399, 16399, 16408, 16399, 16405, 16407, 16407, 16396, 25883, 21155, 16400, 16444, 16674, 40800, 16604, 16391, 16393, 50943, 16400, 16422, 16393, 16392, 16604, 16442, 16415, 16463, 16877, 16397, 16399, 16399, 16408, 16399, 16405, 16407, 16407, 16396, 39745, 16904, 18856, 16400, 16444, 16410, 16647, 23050, 16445, 16401, 16394, 16445, 16396, 16674, 19727, 16642, 16396, 36209, 22036, 16604, 16391, 16393, 16418, 24676, 16401, 16393, 16395, 17824, 16423, 16400, 16425, 16392, 16604, 16442, 16415, 16463, 16877, 16397, 16399, 16399, 16408, 16399, 16405, 16407, 16407, 16396, 16433, 31707, 60610, 16400, 16444, 16397, 16875, 53354, 17060, 17824, 16423, 16400, 18873, 16395, 18722, 19831, 20332, 16721, 35857, 16672, 16604, 16393, 38606, 16430, 16406, 16416, 16393, 16395, 16604, 16393, 50943, 16400, 16418, 16393, 16395, 16604, 16393, 22942, 16423, 16401, 16402, 16393, 16395, 16604, 16393, 21805, 43611, 16400, 16404, 16393, 16395, 16674, 16604, 16393, 50943, 16400, 16422, 16393, 16395, 16958, 17494, 16672, 16604, 16402, 16408, 16396, 16396, 16404, 16404, 16388, 16395, 16604, 16406, 16396, 16396, 16400, 16403, 16388, 16395, 16604, 16406, 16396, 16396, 16402, 16404, 16388, 16395, 16604, 16406, 16396, 16396, 16400, 16400, 16388, 16395, 16674, 16604, 16399, 16396, 16396, 16406, 16388, 16395, 22358, 16604, 16391, 17347, 23790, 16673, 16604, 16393, 16418, 24676, 16401, 16393, 16704, 17363, 24472, 16392, 16604, 16442, 16415, 16463, 16877, 16397, 16399, 16399, 16408, 16399, 16405, 16407, 16407, 16396, 16430, 20649, 16990, 16400, 16444, 16395, 16604, 16442, 16415, 16463, 16877, 16397, 16399, 16399, 16408, 16399, 16405, 16407, 16407, 16396, 39152, 20133, 16400, 16444, 16395, 16604, 16442, 16415, 16463, 16877, 16397, 16399, 16399, 16408, 16399, 16405, 16407, 16407, 16396, 19375, 16432, 17296, 17022, 17287, 24088, 16457, 16400, 16444, 16397, 16875, 22587, 16395, 42786, 22937, 16456, 17605, 16813, 16397, 20332, 16721, 16604, 16393, 38606, 16430, 16406, 16416, 16393, 16674, 16604, 16393, 22942, 16423, 16401, 16402, 16393, 35857, 16769, 17875, 16672, 17824, 16423, 16400, 18873, 16604, 16442, 16415, 16463, 16877, 16397, 16399, 16399, 16408, 16399, 16405, 16407, 16407, 16396, 16429, 16844, 22937, 16456, 16400, 16444, 16395, 18919, 16395, 16647, 23790, 16704, 16804, 18352, 18365, 16397, 16875, 18150, 16395, 35857, 16672, 17567, 24284, 24507, 16604, 16391, 16730, 16761, 16642, 16604, 16393, 50943, 16401, 16416, 16393, 16604, 16442, 16415, 16463, 16877, 16397, 16399, 16399, 16408, 16399, 16405, 16407, 16407, 16396, 16420, 65130, 16400, 16444, 16395, 16796, 22036, 16396, 52820, 24897, 32174, 16604, 16408, 16407, 16410, 16604, 16393, 16422, 20714, 16408, 16407, 16393, 16604, 16442, 16415, 16463, 16877, 16397, 16399, 16399, 16408, 16399, 16405, 16407, 16407, 16396, 29060, 16645, 16400, 16444, 16395, 16674, 39642, 17552, 16395, 18251, 49906, 46721, 16802, 16604, 16402, 16400, 16410, 16604, 16393, 35642, 42245, 16402, 16400, 16393, 16604, 16442, 16415, 16463, 16877, 16397, 16399, 16399, 16408, 16399, 16405, 16407, 16407, 16396, 19315, 16646, 16400, 16444, 16392, 16807, 16992, 19074, 16859, 17963, 16672, 17824, 16423, 16401, 16395, 16674, 17824, 16423, 16402, 16704, 21099, 16809, 35857, 16672, 16647, 23933, 16642, 16604, 16400, 16604, 16391, 16393, 22695, 35183, 16400, 16393, 16392, 16604, 16442, 16415, 16463, 16877, 16397, 16399, 16399, 16408, 16399, 16405, 16407, 16407, 16396, 25363, 17000, 27425, 16400, 16444, 23273, 16397, 16582, 16582, 17861, 49649, 16802, 27732, 25928, 16673, 17824, 16423, 16872, 16992, 25927, 31093, 17490, 16809, 25998, 59425, 16674, 16647, 18122, 17679, 16673, 16794, 17112, 16715, 17154, 16673, 16647, 17824, 16423, 24507, 16397, 16772, 18817, 17824, 16423, 16400, 24507, 39576, 21005, 16604, 16400, 16407, 16399, 33610, 16794, 17112, 16604, 16442, 16415, 16463, 16877, 16397, 16399, 16399, 16408, 16399, 16405, 16407, 16407, 16396, 16433, 31707, 60610, 16400, 16444, 16395, 16604, 16442, 16415, 16463, 16877, 16397, 16399, 16399, 16408, 16399, 16405, 16407, 16407, 16396, 39745, 16904, 18856, 16400, 16444, 16395, 16604, 16442, 16415, 16463, 16877, 16397, 16399, 16399, 16408, 16399, 16405, 16407, 16407, 16396, 16430, 20649, 16990, 16400, 16444, 16647, 17567, 17824, 16423, 16401, 24507, 37186, 16604, 16400, 16406, 16404, 33610, 16794, 17112, 16604, 16442, 16415, 16463, 16877, 16397, 16399, 16399, 16408, 16399, 16405, 16407, 16407, 16396, 29060, 16645, 16400, 16444, 16395, 16604, 16442, 16415, 16463, 16877, 16397, 16399, 16399, 16408, 16399, 16405, 16407, 16407, 16396, 19315, 16646, 16400, 16444, 16395, 16604, 16442, 16415, 16463, 16877, 16397, 16399, 16399, 16408, 16399, 16405, 16407, 16407, 16396, 16429, 16844, 22937, 16456, 16401, 16444, 16395, 16674, 16647, 17824, 16423, 16402, 23273, 16872, 18514, 33610, 16794, 17112, 16604, 16442, 16415, 16463, 16877, 16397, 16399, 16399, 16408, 16399, 16405, 16407, 16407, 16396, 25363, 17000, 27425, 16400, 16444, 16397, 16875, 18150, 16991, 16673, 17213, 24507, 16769, 58387, 21090, 20463, 16604, 16391, 16442, 16415, 16463, 16877, 16397, 16399, 16399, 16408, 16399, 16405, 16407, 16407, 16396, 16433, 31707, 60610, 16400, 16444, 16395, 16604, 16442, 16415, 16463, 16877, 16397, 16399, 16399, 16408, 16399, 16405, 16407, 16407, 16396, 30494, 17801, 16400, 16444, 16395, 16604, 16442, 16415, 16463, 16877, 16397, 16399, 16399, 16408, 16399, 16405, 16407, 16407, 16396, 25883, 21155, 16400, 16444, 16395, 16604, 16442, 16415, 16463, 16877, 16397, 16399, 16399, 16408, 16399, 16405, 16407, 16407, 16396, 19315, 16646, 16400, 16444, 16395, 16604, 16442, 16415, 16463, 16877, 16397, 16399, 16399, 16408, 16399, 16405, 16407, 16407, 16396, 25363, 17000, 27425, 16400, 16444, 16674, 25082, 22477, 23355, 16409, 16604, 16411, 19020, 16409, 16398, 16398, 18409, 16397, 37240, 22062, 16397, 16461, 40088, 16397, 47249, 16397, 24992, 16398, 23792, 16923, 16779, 16398, 16413, 16392, 16397, 23121, 17963, 16395, 18122, 16396, 24609, 37394, 27862, 16872, 16992, 20888, 17655, 17815, 23286, 19335, 16395, 16850, 16721, 16704, 17490, 17005, 16396, 53472, 16674, 22362, 16397, 17119, 17796, 16721, 26613, 16794, 16645, 41102, 16673, 21578, 24507, 17655, 16647, 21811, 18444, 18880, 25206, 23642, 53241, 23062, 16604, 16391, 16428, 19725, 16392, 19000, 16961, 24190, 16907, 16671, 47454, 29430, 21216, 17371, 17297, 16925, 17334, 31018, 27821, 16674, 19077, 27732, 25928, 16397, 16582, 16582, 37068, 16395, 16672, 16811, 18077, 16395, 16742, 16807, 22546, 25998, 19335, 17655, 16727, 19725, 16396, 19338, 25998, 27862, 16671, 17393, 35857, 16672, 22394, 43877, 17225, 17824, 16423, 24507, 16604, 16391, 29219, 16604, 16393, 16418, 24676, 16401, 16393, 16392, 16672, 22587, 17824, 16423, 16400, 18873, 16397, 16582, 16582, 32271, 16604, 16474, 16386, 16466, 16401, 16476, 16582, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16582, 16582, 16428, 24205, 19335, 16673, 16647, 22394, 17824, 16423, 24507, 16672, 16604, 16400, 16406, 40403, 17824, 16423, 16400, 18873, 22130, 16604, 16400, 16408, 17476, 38438, 19007, 31018, 35715, 16395, 16673, 16944, 16604, 16400, 16403, 16958, 20318, 16604, 16391, 16442, 22224, 16604, 16400, 16444, 16391, 16386, 16463, 16877, 16396, 16399, 16399, 16408, 16399, 16405, 16407, 16407, 16396, 16467, 16399, 16399, 16400, 16392, 16474, 18452, 16396, 18926, 16412, 16385, 22246, 16385, 16476, 16392, 16397, 16582, 16582, 16400, 16399, 16397, 16400, 16402, 16406, 16400, 16398, 40976, 16397, 16463, 16877, 16397, 16399, 16399, 16408, 16399, 16405, 16407, 16407, 16397, 16467, 16399, 16399, 16400, 16582, 16582, 16386, 16386, 16386, 16386, 16386, 16386, 48512, 19007, 31018, 35715, 17494, 16672, 16811, 18077, 16397, 16582, 16582, 16384, 16442, 16444, 16391, 16463, 16877, 16397, 16399, 16399, 16408, 16399, 16405, 16407, 16407, 16397, 16467, 16399, 16399, 16400, 16392, 16474, 16386, 16463, 16877, 16396, 16399, 16399, 16408, 16399, 16405, 16407, 16407, 16396, 16467, 16399, 16399, 16400, 16396, 16400, 16476, 16582, 16582, 16650, 41812, 16696, 16696, 16428, 24205, 18383, 16650, 16793, 20234, 43196, 17928, 16650, 61660, 16462, 22363, 17928, 16650, 16794, 16645, 16398, 16974, 17751, 17679, 16696, 16650, 42052, 16696, 16650, 28420, 16604, 16391, 16642, 16604, 16402, 16407, 16403, 20716, 17189, 16392, 16650, 16702, 49979, 40752, 16650, 29878, 16431, 17175, 40752, 16696, 16696, 16696, 38996, 16582, 16650, 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, 16604, 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, 16604, 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, 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, 16604, 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, 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, 16582, 16650, 16393, 38606, 16430, 16406, 16416, 16393, 16696, 16650, 60603, 53126, 16696, 16696, 16655, 16397, 16400, 16405, 16401, 16402, 49463, 16696, 16696, 16463, 16397, 16427, 17129, 16404, 16403, 16401, 16422, 26189, 21620, 16439, 16404, 16696, 16696, 17812, 16645, 16604, 16400, 16403, 16696, 16696, 16696, 16650, 16443, 16396, 16696, 16696, 16696, 16696, 16650, 16429, 16398, 16416, 16696, 16696 ]
[ 0, 16396, 16396, 16396, 16582, 38841, 16409, 16604, 16390, 17507, 17875, 16647, 18723, 23950, 16715, 20960, 16673, 17028, 16656, 22152, 23905, 40062, 17279, 16990, 17774, 16734, 16647, 17261, 16673, 25544, 16395, 16968, 18889, 28301, 16396, 31279, 31031, 26034, 16397, 17119, 17299, 17072, 16671, 20746, 16647, 18197, 16671, 20897, 17279, 16990, 17774, 16673, 24472, 17731, 17714, 17073, 19421, 37528, 16397, 16875, 18343, 16395, 16742, 22882, 16986, 17686, 23496, 17028, 16656, 22152, 19278, 40062, 17279, 16990, 17774, 16734, 16647, 17261, 16673, 19508, 16395, 16850, 16804, 19765, 19508, 26034, 16397, 19488, 16647, 64760, 16673, 16647, 18197, 16671, 16647, 17843, 16673, 17279, 16990, 17774, 25939, 16734, 34820, 16395, 16804, 23902, 16968, 18889, 28301, 16396, 31279, 31031, 16395, 25544, 16946, 28869, 16709, 17918, 19619, 16704, 20905, 16397, 16390, 16582, 26371, 16409, 16582, 16396, 18800, 17052, 20620, 23472, 17197, 58268, 16582, 16396, 21496, 16716, 20266, 16473, 18685, 45883, 16844, 16582, 16396, 21300, 28997, 16457, 19463, 17060, 16714, 42109, 16582, 23718, 16409, 16604, 16475, 16582, 16696, 28286, 20960, 16673, 17028, 16656, 22152, 23905, 40062, 17279, 16990, 17774, 16443, 16582, 16696, 20110, 17261, 16673, 25544, 26034, 16582, 16396, 16396, 16396, 16582, 16582, 38194, 16582, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16582, 16582, 17409, 16872, 16992, 18365, 16721, 17279, 16990, 17774, 16843, 16703, 27024, 16734, 17261, 16673, 18321, 17568, 16673, 26034, 18047, 19508, 26034, 16604, 16442, 16415, 55763, 16410, 16604, 16415, 22113, 16791, 16410, 16604, 16415, 18566, 16444, 16397, 16875, 18343, 16986, 16704, 16667, 17889, 45440, 16604, 16442, 16415, 55763, 16444, 18884, 16721, 16604, 16387, 16443, 17979, 25254, 16387, 23519, 16709, 16641, 18201, 17918, 34706, 19173, 18692, 16604, 16387, 16443, 20824, 16474, 16423, 16476, 16446, 16474, 16416, 16476, 16474, 16443, 34318, 16476, 16443, 20824, 16474, 16423, 16476, 16446, 16474, 16417, 16476, 16387, 16704, 19511, 16925, 16980, 16674, 17097, 16980, 16715, 16858, 19508, 16604, 16391, 19840, 16804, 19765, 19508, 16392, 26034, 16604, 16387, 16443, 31962, 16604, 16409, 16582, 16443, 20824, 16474, 16417, 16476, 16391, 16443, 20824, 16474, 16423, 16476, 16446, 16474, 16417, 16476, 16392, 16443, 29061, 16582, 16443, 20824, 16474, 16417, 16476, 16391, 16443, 20824, 16474, 16423, 16476, 16446, 16474, 16416, 16476, 16392, 16387, 16604, 16442, 16415, 16417, 16444, 16647, 18211, 25866, 16604, 16387, 16387, 16439, 16446, 16474, 16443, 31962, 16476, 16391, 16443, 17979, 25254, 16392, 16412, 16442, 16424, 16604, 16443, 34318, 16604, 16443, 31962, 16444, 16391, 16443, 17979, 25254, 16392, 16387, 16387, 16872, 16858, 17975, 16396, 40821, 34413, 28251, 16944, 19294, 16704, 19517, 16741, 16604, 16387, 16387, 16442, 16424, 16604, 16443, 34318, 16604, 16443, 31962, 16444, 16391, 16443, 17979, 25254, 16392, 16604, 16443, 31790, 16604, 16399, 16604, 16443, 19974, 16474, 56868, 16428, 18220, 16400, 16476, 16397, 16387, 16387, 20195, 16809, 16604, 16387, 16424, 16387, 16742, 39445, 16647, 22644, 20774, 23519, 16709, 16604, 16387, 16443, 20824, 16474, 16417, 16476, 16391, 16443, 20824, 16474, 16423, 16476, 16446, 16474, 16416, 16476, 16392, 16387, 16397, 21123, 16998, 55769, 16396, 31279, 31031, 20774, 16704, 17027, 16968, 18889, 28301, 16396, 31279, 31031, 16395, 16728, 18199, 18870, 16671, 19202, 16931, 34413, 28251, 16673, 16604, 16387, 16439, 16446, 16474, 16443, 31962, 16476, 16391, 16443, 17979, 25254, 16392, 16387, 16397, 18523, 16395, 16728, 17208, 16703, 39907, 16721, 16986, 16769, 17259, 16604, 16387, 16443, 31962, 16387, 16466, 16604, 16391, 16770, 23495, 17929, 16647, 24284, 25145, 16392, 16674, 16671, 47132, 17007, 16704, 16641, 17747, 16674, 17363, 21657, 22511, 18234, 16604, 16391, 19914, 16395, 16693, 16397, 16454, 16397, 16395, 25862, 16397, 16604, 16442, 16415, 16426, 17694, 16844, 30411, 16444, 16674, 27858, 42553, 16392, 16397, 16582, 16582, 18264, 16641, 17301, 17005, 16647, 18568, 45440, 16872, 16992, 22140, 16741, 32909, 35298, 16397, 18483, 17405, 16671, 17391, 25732, 16604, 16387, 16443, 17979, 25254, 16387, 16604, 16391, 17080, 61958, 16672, 16991, 16604, 16442, 16393, 20219, 16658, 16393, 16444, 16474, 16476, 17731, 38483, 23914, 16392, 16674, 17177, 17646, 16728, 17065, 16647, 24790, 16604, 16391, 16443, 16442, 56868, 16428, 18220, 16400, 16443, 16444, 16392, 16397, 19488, 17073, 26335, 16763, 25722, 16674, 16647, 25228, 16763, 24772, 16397, 18523, 16728, 16843, 16703, 18215, 16721, 16715, 16395, 17335, 19619, 23519, 16709, 16604, 16387, 16443, 20824, 16474, 16423, 16476, 16446, 16474, 16416, 16476, 16474, 16443, 34318, 16476, 16443, 20824, 16474, 16423, 16476, 16446, 16474, 16417, 16476, 16443, 23966, 16582, 16443, 22060, 16474, 16418, 16476, 16445, 16474, 16451, 16476, 16474, 16443, 34318, 16476, 16443, 22060, 16474, 16418, 16476, 16445, 16474, 16451, 16476, 16387, 16674, 26034, 16604, 16387, 16443, 31962, 16604, 16409, 16582, 16443, 20824, 16474, 16417, 16476, 16391, 16443, 22060, 16474, 16418, 16476, 16445, 16474, 16451, 16476, 16392, 16604, 16443, 29061, 16582, 16443, 20824, 16474, 16417, 16476, 16391, 16443, 22060, 16474, 16418, 16476, 16445, 16474, 16451, 16476, 16392, 16387, 16395, 16647, 26335, 16673, 16647, 25866, 16604, 16387, 16439, 16446, 16474, 16443, 31962, 16476, 16391, 16443, 17979, 25254, 16392, 16387, 25438, 16673, 16604, 16387, 16461, 16446, 16474, 16443, 24160, 16474, 31680, 16476, 16476, 16412, 16451, 16445, 16474, 16401, 16476, 16387, 21025, 16395, 17437, 17769, 16604, 16442, 16393, 20219, 16658, 16393, 16444, 16474, 16476, 38483, 16673, 17274, 19619, 36423, 16671, 16604, 16387, 16461, 16446, 16474, 16443, 24160, 16474, 16765, 16476, 16476, 16412, 16451, 16445, 16474, 16403, 16476, 16396, 16400, 16387, 23239, 16397, 16582, 16582, 16853, 18283, 16763, 21056, 16604, 16442, 16415, 16431, 23328, 16420, 16444, 16741, 16671, 18515, 16917, 16843, 17783, 16647, 17709, 16604, 16391, 16443, 16442, 56868, 16428, 18220, 16400, 16443, 16444, 16392, 27288, 17714, 33489, 16673, 16604, 16442, 16393, 20219, 16658, 16393, 16444, 16474, 16476, 59703, 16673, 16647, 17731, 16604, 16387, 16443, 17979, 25254, 16387, 21051, 16647, 17551, 16721, 16647, 20774, 16604, 16387, 16424, 16474, 16443, 34318, 16476, 16443, 31962, 16387, 16704, 16804, 27288, 17446, 30429, 16397, 16772, 24284, 19481, 16763, 16604, 16442, 16415, 16431, 23328, 16420, 16444, 16721, 16917, 16843, 17231, 16647, 28370, 16673, 28073, 19902, 40986, 16604, 16387, 16443, 36365, 16474, 16424, 16604, 16443, 34318, 16582, 16443, 31962, 16476, 16387, 16604, 16391, 20961, 16416, 16392, 16673, 16819, 17064, 54772, 20774, 16604, 16387, 16424, 16604, 16443, 34318, 16604, 16443, 31962, 16387, 16944, 16704, 27288, 17446, 30429, 18022, 16395, 16850, 16767, 16647, 17396, 17005, 16647, 26335, 16673, 16647, 17731, 16604, 16387, 16387, 16443, 27048, 16474, 16439, 16476, 16446, 16474, 16443, 31962, 16476, 16391, 16443, 17979, 25254, 16392, 16412, 16442, 16443, 36365, 16474, 16424, 16604, 16443, 34318, 16582, 16443, 31962, 16476, 16444, 16391, 16443, 17979, 25254, 16392, 16387, 16387, 16704, 16994, 16667, 17952, 16856, 27026, 16673, 16721, 16673, 16647, 16604, 16391, 16720, 54772, 16392, 25866, 16604, 16387, 16439, 16446, 16474, 16443, 31962, 16476, 16391, 16443, 17979, 25254, 16392, 16387, 16397, 16772, 26335, 16673, 16604, 16387, 16443, 27048, 16474, 16439, 16476, 16446, 16474, 16443, 31962, 16476, 16391, 16443, 17979, 25254, 16392, 16387, 16843, 16703, 23975, 16734, 17261, 16673, 16647, 26335, 20543, 17662, 16604, 16442, 16415, 32313, 16706, 17662, 16444, 16395, 16944, 21384, 38483, 16673, 17097, 16604, 16387, 16451, 16445, 16474, 16401, 16476, 16387, 23239, 16944, 16604, 16391, 30992, 16673, 43340, 16392, 16769, 16672, 16917, 16671, 16917, 37704, 16734, 16647, 18964, 26335, 16673, 16604, 16391, 16443, 16442, 56868, 16428, 18220, 16400, 16443, 16444, 16392, 16397, 24695, 16721, 16715, 16604, 16387, 16401, 16474, 16443, 34318, 16476, 16401, 16387, 19258, 16604, 16391, 17347, 32179, 17434, 16673, 17142, 16951, 38991, 16392, 16395, 18655, 25054, 17474, 16671, 16647, 18197, 16673, 25939, 16673, 17279, 16990, 17774, 22021, 16604, 16391, 16979, 17712, 17643, 16604, 16442, 16415, 18186, 17712, 17643, 16444, 16674, 17279, 16990, 17774, 16673, 24261, 16604, 16442, 16415, 16420, 16462, 16421, 16444, 16392, 17714, 16647, 17731, 37528, 16604, 16442, 16415, 29049, 20714, 16427, 16444, 16397, 16582, 16582, 16853, 42508, 16673, 16647, 18568, 18197, 16704, 16604, 16442, 16415, 16418, 35228, 18413, 16444, 16721, 39170, 16673, 16702, 21101, 21384, 18150, 16647, 23960, 16671, 16647, 17434, 16604, 16391, 17052, 16807, 16671, 17646, 16991, 24389, 16667, 35387, 16676, 16395, 19201, 16647, 17434, 16395, 16674, 17177, 30280, 17007, 16891, 16392, 16397, 16875, 25862, 16397, 16604, 16442, 16415, 16418, 35228, 18413, 16444, 16647, 18283, 16763, 21056, 16931, 16647, 23731, 16673, 17028, 16656, 22152, 28966, 23905, 16395, 17226, 16397, 16452, 16397, 16395, 17310, 16673, 16944, 16647, 17097, 20820, 17586, 16769, 16409, 16604, 16391, 16456, 16392, 24472, 28966, 17624, 24398, 16809, 16604, 16387, 16443, 17979, 25254, 16445, 16474, 16474, 16443, 34318, 16476, 16460, 16476, 16387, 16604, 16391, 19904, 16392, 16647, 24389, 23975, 16951, 19286, 16944, 30246, 17089, 16907, 16647, 26335, 23395, 16604, 16391, 19914, 25862, 16397, 16604, 16442, 16415, 32313, 16706, 17662, 16444, 16392, 16397, 16999, 16763, 19628, 16721, 16715, 16767, 17965, 16917, 19508, 20774, 16604, 16391, 21527, 22709, 16392, 16604, 16387, 16435, 16387, 16647, 17028, 16656, 22152, 19278, 23496, 16604, 16442, 16415, 16418, 35228, 18413, 16444, 16397, 24423, 23905, 16715, 17142, 16396, 16784, 19286, 52556, 17643, 16674, 17567, 16396, 16784, 19286, 16640, 22780, 16807, 17027, 16992, 20087, 16604, 16442, 16415, 16418, 35228, 18413, 16401, 16444, 16397, 16582, 16582, 17071, 16647, 17875, 19420, 16742, 17704, 16641, 18723, 18283, 16409, 16829, 17028, 16656, 22152, 23905, 16985, 17097, 16715, 18321, 26034, 16604, 16391, 47504, 16392, 16785, 16829, 16873, 18622, 16715, 16998, 19508, 20774, 17709, 16414, 16875, 16647, 17843, 16673, 16641, 19508, 19481, 16671, 16647, 24002, 16409, 16704, 16728, 18230, 16671, 17802, 16641, 18723, 18197, 16715, 47563, 17007, 16414, 17960, 16728, 16703, 24934, 16671, 16998, 25145, 16977, 17032, 16647, 16917, 21365, 16672, 16604, 16391, 16443, 16442, 56868, 16428, 18220, 16400, 16443, 16444, 16392, 16414, 16582, 16582, 18264, 16811, 20380, 16742, 17092, 17299, 17072, 16671, 20165, 16641, 26335, 16673, 16647, 25732, 16604, 16387, 16443, 47064, 16391, 16443, 17979, 25254, 16392, 16387, 16395, 17187, 16604, 16387, 16443, 47064, 16604, 16409, 16582, 16443, 20824, 16474, 16417, 16476, 16391, 16443, 22060, 16474, 16418, 16476, 16445, 16474, 16460, 16476, 16392, 16443, 29061, 16443, 20824, 16474, 16417, 16476, 16391, 16443, 22060, 16474, 16418, 16476, 16445, 16474, 16460, 16476, 16392, 16387, 16704, 16667, 34820, 25544, 16395, 16968, 18889, 28301, 16396, 31279, 31031, 20774, 16674, 16604, 16387, 16443, 17979, 25254, 16387, 16704, 16641, 18201, 24892, 25866, 23519, 16709, 16604, 16387, 16443, 22060, 16474, 16418, 16476, 16445, 16474, 16460, 16476, 16387, 16395, 16734, 16647, 17261, 16673, 17097, 16604, 16387, 16460, 16387, 23239, 23381, 19095, 16673, 16604, 16387, 16460, 16445, 16474, 16401, 16476, 16396, 16400, 16387, 16397, 17544, 45323, 16943, 16604, 16387, 16443, 17979, 25254, 16387, 17187, 16604, 16387, 16460, 16412, 16451, 16445, 16474, 16401, 16476, 16387, 16811, 20067, 16604, 16387, 16451, 16445, 16474, 16401, 16476, 16387, 19095, 16673, 16604, 16387, 16451, 16445, 16474, 16403, 16476, 16396, 16400, 16387, 16397, 17170, 19474, 16704, 23354, 16734, 18722, 18466, 16604, 16442, 16415, 20112, 16913, 16459, 16410, 16604, 16415, 19375, 22629, 16410, 16604, 16415, 16417, 21282, 16444, 17187, 34820, 41691, 25409, 16673, 21025, 16673, 16641, 18201, 17731, 16604, 16387, 16443, 17979, 25254, 16387, 16807, 16992, 19570, 16397, 16875, 17213, 18786, 16728, 16763, 19628, 16891, 16721, 16998, 16767, 17154, 16604, 16387, 16458, 16387, 16396, 16757, 20157, 49135, 16673, 16641, 24892, 25732, 16604, 16387, 16443, 17979, 25254, 16387, 16843, 16703, 23975, 16734, 17261, 16673, 17142, 27599, 19615, 19248, 16709, 16604, 16387, 16458, 16387, 26787, 16673, 16604, 16387, 16443, 17979, 25254, 16387, 16397, 16875, 17551, 16917, 16843, 18233, 16647, 23395, 16673, 16604, 16387, 16443, 47064, 16391, 16443, 17979, 25254, 16392, 16387, 16944, 16742, 30645, 19057, 16741, 41691, 25409, 34396, 16671, 17274, 16641, 17568, 16397, 17119, 41934, 16647, 26619, 17510, 16673, 19615, 19248, 16715, 16647, 28171, 16673, 18230, 18368, 19617, 16397, 26367, 16395, 19474, 20905, 16672, 16647, 17875, 19420, 20634, 16715, 18761, 19588, 27353, 16673, 55412, 16721, 60685, 16667, 34820, 49135, 16673, 16647, 17731, 16604, 16387, 16443, 17979, 25254, 16387, 35024, 16671, 16991, 27026, 16604, 16387, 16443, 47064, 16387, 16397, 19488, 16742, 18288, 16667, 24528, 19617, 16672, 17279, 16990, 17774, 25939, 21317, 16721, 16715, 25105, 16604, 16387, 16443, 47064, 16387, 16647, 23950, 39510, 16994, 16641, 17262, 18197, 16715, 40062, 17279, 16990, 17774, 17714, 19421, 17731, 37528, 16734, 16647, 17261, 16673, 18422, 19508, 20774, 25145, 16604, 16391, 16443, 16442, 56868, 16428, 18220, 16400, 16443, 16444, 16392, 16785, 25544, 50281, 20625, 22849, 18242, 16397, 16582, 16582, 28286, 23950, 16715, 20960, 16673, 17028, 16656, 22152, 19278, 40062, 26335, 16673, 16604, 16387, 16443, 47064, 16391, 16443, 17979, 25254, 16392, 16387, 16604, 16474, 16386, 38962, 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, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 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, 53710, 16673, 16667, 55412 ]
[ 0, 61365, 22525, 21193, 48071, 16721, 20470, 17208, 37332, 17827, 46065, 16604, 16391, 16652, 45707, 18237, 33041, 16392, 16785, 16922, 17045, 16675, 17696, 20815, 22737, 25295, 17032, 17827, 19359, 20470, 16604, 16391, 16442, 16415, 16473, 17456, 16399, 16407, 16401, 16396, 16417, 16401, 16401, 16444, 16395, 16604, 16442, 16415, 16473, 17456, 16399, 16407, 16401, 16396, 16417, 16401, 16402, 16444, 16392, 16397, 16875, 20969, 16721, 18209, 16672, 17797, 19318, 16395, 20470, 17123, 28859, 21477, 31002, 16674, 17815, 20431, 16815, 21577, 25295, 16397, 17544, 18185, 16395, 16848, 24248, 17876, 16604, 16393, 28476, 16675, 17180, 17331, 16675, 37585, 16393, 16769, 16922, 18715, 16671, 17783, 18630, 39511, 20937, 17014, 16664, 22142, 21004, 16715, 19977, 19318, 16604, 16391, 16442, 16415, 16473, 17456, 16399, 16407, 16401, 16396, 16417, 16404, 16406, 16444, 16392, 16674, 16647, 18630, 16642, 17615, 16807, 16641, 19251, 19049, 16725, 18813, 17014, 16873, 16769, 63931, 16604, 16391, 16442, 16415, 16473, 17456, 16399, 16407, 16401, 16396, 16417, 16400, 16404, 16444, 16392, 16397, 26367, 16395, 17261, 16756, 17123, 21477, 25295, 22525, 20431, 16815, 26142, 19359, 44288, 16395, 16674, 17213, 44288, 17699, 17027, 23113, 16647, 17815, 28227, 16673, 17261, 16756, 16672, 16647, 18368, 16604, 16391, 16442, 16415, 16473, 17456, 16399, 16407, 16401, 16396, 16417, 16401, 16401, 16444, 16395, 16604, 16442, 16415, 16473, 17456, 16399, 16407, 16401, 16396, 16417, 16401, 16402, 16444, 16410, 16604, 16442, 16415, 16473, 17456, 16399, 16407, 16401, 16396, 16417, 16402, 16401, 16444, 16410, 16604, 16442, 16415, 16473, 17456, 16399, 16407, 16401, 16396, 16417, 16404, 16404, 16444, 16392, 16397, 34316, 16395, 46432, 18815, 31585, 25662, 19947, 17415, 31793, 18443, 16671, 21667, 16715, 20078, 16604, 16391, 16442, 16415, 16473, 17456, 16399, 16407, 16401, 16396, 16417, 16401, 16403, 16444, 16410, 16604, 16442, 16415, 16473, 17456, 16399, 16407, 16401, 16396, 16417, 16405, 16400, 16444, 16392, 16397, 16875, 17259, 19140, 16395, 21617, 28994, 16914, 25442, 41283, 17560, 16647, 36065, 18217, 16604, 16391, 21371, 16392, 16604, 16391, 16452, 16397, 16454, 16397, 16395, 28763, 20240, 16396, 16928, 16701, 17246, 18676, 27029, 16395, 16604, 16393, 33801, 16745, 16746, 16730, 25003, 16861, 43513, 16393, 16409, 16604, 16442, 16415, 16473, 17456, 16399, 16407, 16401, 16396, 16417, 16405, 16402, 16444, 16392, 16395, 16674, 16873, 37332, 17827, 17045, 16675, 17696, 20815, 25295, 17560, 16647, 34621, 19739, 16734, 16977, 18032, 16673, 16647, 16987, 16604, 16391, 16452, 16397, 16454, 16397, 16395, 18908, 16396, 53414, 22770, 40380, 20733, 16395, 16604, 16393, 65099, 16680, 17129, 52186, 17063, 22503, 16730, 16393, 16409, 16604, 16442, 16415, 16473, 17456, 16399, 16407, 16401, 16396, 16417, 16401, 16404, 16444, 16392, 16397, 23121, 16395, 17072, 20470, 18233, 17148, 16801, 23189, 16466, 23825, 16709, 16914, 25998, 19359, 17552, 16395, 16850, 17027, 16709, 16647, 39534, 20409, 16395, 16944, 31907, 16647, 20431, 16674, 20079, 16673, 41313, 16674, 23677, 26459, 16397, 16582, 16582, 64180, 24280, 26078, 16721, 40403, 17148, 16801, 23189, 16466, 16721, 24708, 16672, 27827, 26459, 18443, 16671, 16914, 18399, 31517, 36437, 17123, 17460, 16604, 16385, 22326, 16396, 19064, 16385, 20937, 16604, 16391, 16442, 16415, 16473, 17456, 16399, 16407, 16401, 16396, 16417, 16404, 16444, 16410, 16604, 16442, 16415, 16473, 17456, 16399, 16407, 16401, 16396, 16417, 16403, 16401, 16444, 16410, 16604, 16442, 16415, 16473, 17456, 16399, 16407, 16401, 16396, 16417, 16404, 16405, 16444, 16392, 16397, 17144, 21670, 20470, 17123, 21477, 24528, 21233, 20431, 16815, 29841, 17502, 16785, 53014, 31666, 16604, 16391, 16442, 16415, 16473, 17456, 16399, 16407, 16401, 16396, 16417, 16400, 16400, 16444, 16395, 16604, 16442, 16415, 16473, 17456, 16399, 16407, 16401, 16396, 16417, 16400, 16401, 16444, 16410, 16604, 16442, 16415, 16473, 17456, 16399, 16407, 16401, 16396, 16417, 16403, 16399, 16444, 16392, 16397, 17544, 20845, 16395, 16741, 16647, 17616, 18898, 39306, 23361, 16395, 16986, 16704, 16641, 18846, 27505, 16673, 31702, 16396, 45202, 18493, 40403, 21379, 16670, 65154, 16396, 23639, 16665, 21135, 33382, 16604, 16393, 22044, 16701, 20740, 16662, 16730, 21982, 16659, 16393, 16604, 16391, 16442, 16415, 16473, 17456, 16399, 16407, 16401, 16396, 16417, 16401, 16407, 16444, 16392, 16395, 28065, 27742, 16721, 36437, 16843, 17474, 16671, 18237, 33041, 16672, 16811, 20969, 16397, 16875, 18150, 16395, 17259, 44590, 20969, 16769, 17827, 27747, 20815, 18365, 29265, 17032, 16873, 16769, 20815, 36379, 16604, 16391, 16442, 16415, 16473, 17456, 16399, 16407, 16401, 16396, 16417, 16402, 16408, 16444, 16410, 16604, 16442, 16415, 16473, 17456, 16399, 16407, 16401, 16396, 16417, 16403, 16402, 16444, 16410, 16604, 16442, 16415, 16473, 17456, 16399, 16407, 16401, 16396, 16417, 16405, 16401, 16444, 16392, 16395, 16674, 20470, 17123, 20414, 17005, 16674, 18712, 16809, 27478, 17230, 16641, 35294, 16674, 31359, 19080, 16734, 22445, 29265, 16604, 16391, 16442, 16415, 16473, 17456, 16399, 16407, 16401, 16396, 16417, 16401, 16399, 16444, 16410, 16604, 16442, 16415, 16473, 17456, 16399, 16407, 16401, 16396, 16417, 16403, 16407, 16444, 16392, 16397, 16582, 16582, 16428, 16882, 16723, 17060, 32912, 16449, 19952, 16604, 16393, 31025, 30843, 16819, 19788, 16675, 16748, 19960, 16393, 16769, 65247, 30046, 16672, 16647, 23850, 18669, 41814, 16395, 28426, 18669, 41814, 16395, 16785, 28426, 19147, 16673, 25886, 19391, 16395, 61646, 16395, 16674, 16647, 20196, 16396, 40134, 52206, 19599, 16673, 21590, 16604, 16391, 16442, 16415, 16473, 17456, 16399, 16407, 16401, 16396, 16417, 16405, 16408, 16444, 16392, 16397, 63771, 17060, 32912, 16449, 19952, 18209, 16672, 18237, 19318, 28990, 16604, 16401, 16393, 16396, 16396, 16393, 16400, 16407, 20470, 19796, 16647, 16987, 16604, 16391, 16442, 16415, 16473, 17456, 16399, 16407, 16401, 16396, 16417, 16402, 16406, 16444, 16392, 16395, 17187, 17492, 17585, 57829, 16667, 26140, 26596, 16674, 16858, 17585, 18319, 18634, 16647, 20481, 17140, 17434, 16604, 16391, 16442, 16415, 16473, 17456, 16399, 16407, 16401, 16396, 16417, 16402, 16444, 16392, 16397, 16772, 40690, 16674, 33976, 16673, 63771, 17060, 32912, 16449, 19952, 19947, 23693, 16815, 18810, 16671, 19137, 16604, 16391, 16442, 16415, 16473, 17456, 16399, 16407, 16401, 16396, 16417, 16402, 16404, 16444, 16395, 16604, 16442, 16415, 16473, 17456, 16399, 16407, 16401, 16396, 16417, 16402, 16406, 16444, 16392, 16395, 16674, 16873, 17298, 16671, 20022, 18308, 16815, 19118, 16671, 19191, 16604, 16391, 16442, 16415, 16473, 17456, 16399, 16407, 16401, 16396, 16417, 16402, 16444, 16395, 16604, 16442, 16415, 16473, 17456, 16399, 16407, 16401, 16396, 16417, 16403, 16444, 16392, 16397, 23121, 16395, 16986, 16769, 16604, 16401, 23674, 20741, 17417, 16396, 37522, 25652, 16672, 63771, 17060, 32912, 16449, 19952, 16409, 16647, 34621, 16604, 16391, 29414, 16671, 19137, 16392, 16674, 18308, 16396, 19808, 31466, 18217, 16604, 16391, 16421, 23100, 16392, 16604, 16391, 31259, 16671, 19191, 16392, 16397, 34617, 19831, 16807, 19628, 16721, 16647, 17616, 16396, 24193, 19101, 16673, 16641, 18237, 17585, 23361, 16734, 16647, 17679, 16673, 21966, 32912, 16449, 19952, 16672, 16647, 17585, 17560, 16647, 34621, 16395, 25743, 16728, 16704, 34950, 37033, 16734, 16647, 17679, 16673, 21379, 17585, 18319, 17560, 16647, 16773, 23100, 16604, 16391, 16442, 16415, 16473, 17456, 16399, 16407, 16401, 16396, 16417, 16405, 16405, 16444, 16392, 16397, 16875, 18150, 16395, 18676, 28101, 16674, 25998, 17586, 16807, 25402, 16721, 18237, 19318, 16769, 22247, 17797, 19318, 16604, 16391, 16442, 16415, 16473, 17456, 16399, 16407, 16401, 16396, 16417, 16402, 16444, 16395, 16604, 16442, 16415, 16473, 17456, 16399, 16407, 16401, 16396, 16417, 16403, 16444, 16410, 16604, 16442, 16415, 16473, 17456, 16399, 16407, 16401, 16396, 16417, 16405, 16406, 16444, 16392, 16395, 16674, 16721, 17361, 16396, 21826, 25998, 36372, 16674, 39392, 36372, 16769, 34950, 19359, 16604, 16391, 16442, 16415, 16473, 17456, 16399, 16407, 16401, 16396, 16417, 16405, 16404, 16444, 16392, 16397, 16700, 19520, 39121, 16809, 29265, 16674, 16816, 17779, 24864, 20470, 16815, 30039, 19318, 16769, 23976, 21852, 17560, 16647, 34621, 16604, 16391, 16442, 16415, 16473, 17456, 16399, 16407, 16401, 16396, 16417, 16402, 16444, 16395, 16604, 16400, 16408, 16407, 16408, 16449, 16392, 16395, 16674, 31776, 25662, 18825, 21663, 16734, 38522, 31080, 16604, 16391, 16442, 16415, 16473, 17456, 16399, 16407, 16401, 16396, 16417, 16400, 16444, 16395, 16604, 16442, 16415, 16473, 17456, 16399, 16407, 16401, 16396, 16417, 16401, 16444, 16410, 16604, 16442, 16415, 16473, 17456, 16399, 16407, 16401, 16396, 16417, 16402, 16444, 16392, 16397, 40303, 16395, 16647, 32912, 16449, 19952, 16721, 18209, 16672, 17476, 18237, 19318, 17123, 16703, 25295, 16397, 18708, 24319, 17190, 16647, 63771, 17060, 32912, 42594, 16641, 25105, 18528, 20969, 16715, 30900, 16647, 21449, 16673, 25295, 19232, 16674, 31517, 36437, 16709, 18237, 20937, 16395, 16944, 16807, 16804, 16992, 31339, 28152, 16672, 16811, 20969, 16397, 16582, 16582, 17071, 16811, 18077, 16395, 16742, 22546, 16667, 21378, 16671, 17709, 17038, 33018, 16721, 16647, 18237, 34524, 32975, 16673, 20470, 19006, 16672, 17476, 19318, 16769, 22499, 16809, 25998, 19359, 17552, 16674, 31517, 21424, 16604, 16391, 42281, 17415, 20481, 17140, 19258, 16392, 16672, 16641, 19588, 19971, 16673, 63771, 17060, 32912, 16449, 19952, 16604, 16393, 31025, 30843, 16819, 19788, 16675, 16748, 19960, 16397, 16393, 17119, 28033, 16721, 32912, 16449, 19952, 17123, 28994, 18846, 20627, 16673, 17045, 37961, 26459, 16674, 50600, 17827, 17005, 20815, 28495, 45545, 16674, 28231, 18602, 18399, 20470, 16397, 17119, 17027, 23679, 18515, 17213, 19938, 16709, 18237, 20937, 60323, 17415, 63195, 16674, 25279, 16397, 16772, 18237, 32345, 16674, 17616, 16396, 24193, 39306, 23976, 19947, 18493, 20470, 16815, 30039, 18237, 19318, 17560, 16647, 34621, 16604, 16391, 16442, 16415, 16473, 17456, 16399, 16407, 16401, 16396, 16417, 16403, 16444, 16410, 16604, 16442, 16415, 16473, 17456, 16399, 16407, 16401, 16396, 16417, 16405, 16405, 16444, 16392, 16395, 16674, 26216, 17361, 21826, 18237, 25884, 16769, 20916, 17560, 16647, 16773, 23100, 17032, 16647, 34621, 16604, 16391, 16442, 16415, 16473, 17456, 16399, 16407, 16401, 16396, 16417, 16400, 16406, 16444, 16392, 16397, 23121, 16395, 16742, 28033, 16721, 16647, 19938, 16673, 25295, 19232, 16674, 31517, 36437, 16709, 18237, 20937, 17699, 16703, 25012, 17560, 16647, 34621, 17032, 16647, 16773, 23100, 16397, 16875, 18150, 16395, 19705, 36065, 31776, 16843, 16703, 17494, 16767, 16647, 17396, 17005, 16672, 19588, 27319, 16673, 20909, 32912, 16449, 19952, 16674, 24283, 18257, 18444, 20432, 21966, 32912, 16449, 19952, 23693, 22264, 16647, 37949, 16604, 16391, 16442, 16415, 16473, 17456, 16399, 16407, 16401, 16396, 16417, 16403, 16444, 16392, 16397, 23466, 16395, 16742, 28033, 16721, 17213, 19938, 17123, 16703, 25012, 16672, 31080, 16850, 16804, 16672, 21379, 32912, 16449, 19952, 18201, 16721, 31776, 19294, 27214, 22439, 19251, 39346, 21667, 17032, 31080, 16604, 16391, 16442, 16415, 16473, 17456, 16399, 16407, 16401, 16396, 16417, 16400, 16403, 16444, 16392, 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, 42888, 18758, 16395, 17150, 20913, 16395, 16674, 22270, 27353, 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, 16582, 16582, 20965, 19831, 16958, 22546, 16767, 54537, 17159, 18017, 16604, 16391, 16403, 16401, 21896, 16401, 16402, 16397, 16405, 16400, 16402, 29084, 16429, 16395, 16604, 16400, 16400, 16405, 21896, 16399, 16405, 16397, 16404, 16401, 16403, 29084, 16420, 16395, 42072, 16604, 16400, 16402, 16399, 16399, 20464, 16460, 16392, 16395, 16944, 16704, 20186, 16931, 16604, 16401, 16404, 20464, 25300, 21522, 16673, 33873, 16978, 16395, 17565, 17175, 21023, 16657, 62984, 16395, 48290, 61646, 16395, 19391, 16397, 16772, 18077, 18758, 16704, 16641, 23850, 18669, 41814, 18124, 16397, 16772, 19183, 25288, 21452, 41147, 16815, 16604, 16396, 16396, 16400, 16402, 16397, 16408, 21896, 16418, 16671, 16604, 16401, 16400, 21896, 16418, 16674, 16647, 20741, 18804, 46312, 16763, 16604, 16402, 16401, 16403, 16397, 16405, 20464, 19932, 17560, 16604, 16401, 16399, 16400, 16403, 16397, 16582, 16582, 20965, 17150, 20913, 22718, 34889, 16641, 16604, 16401, 16396, 18856, 16604, 16391, 16400, 16399, 16399, 20464, 16460, 20464, 30070, 20464, 16401, 16399, 16399, 20464, 16460, 16392, 25370, 17373, 31684, 16809, 16604, 16393, 19375, 17644, 16730, 40159, 36200, 16393, 16395, 16604, 16393, 23700, 16746, 44474, 22478, 17067, 23171, 16393, 16395, 16604, 16393, 17278, 16666, 17102, 21645, 20850, 23739, 16870, 16768, 16393, 16395, 16604, 16393, 21755, 16683, 23109, 16816, 18256, 16452, 39641, 17484, 16393, 16395, 16604, 16393, 54436, 16954, 16448, 17610, 16448, 17787, 18302, 16393, 16395, 16674, 16604, 16393, 16416, 18484, 16813, 18876, 36371, 16393, 16395, 16944, 19194, 18308, 16785, 19492, 16715, 32912, 16449, 19952, 16397, 16772, 19061, 21470, 17404, 17785, 46576, 34889, 16647, 16759, 18965, 17060, 19453, 50192, 16604, 16393, 16434, 35602, 46883, 16730, 17984, 16713, 36371, 16393, 16395, 16759, 18965, 17060, 16664, 23591, 16604, 16393, 16430, 16717, 16701, 20406, 16670, 17795, 16713, 19136, 16393, 16395, 16674, 19402, 19519, 50688, 25927, 18484, 16604, 16393, 16418, 17404, 16688, 35946, 18740, 16775, 36200, 16397, 16393, 16772, 19056, 48378, 16673, 63771, 17060, 32912, 16449, 19952, 16958, 16647, 18669, 41814, 34367, 24066, 16604, 16393, 39745, 23241, 16693, 17067, 17392, 19904, 16393, 16395, 16655, 17035, 16861, 42166, 16604, 16393, 16437, 16748, 24497, 16655, 17035, 16861, 16393, 16395, 16674, 16991, 56445, 17035, 17274, 16741, 16647, 18545, 16822, 16765, 18701, 16604, 16393, 58356, 17435, 16640, 19983, 16720, 45191, 16393, 16770, 16903, 17373 ]
[ 0, 16400, 16397, 35453, 16604, 16474, 16386, 16466, 16399, 16399, 16399, 16404, 16476, 16582, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16582, 16582, 35732, 65488, 16704, 16647, 19680, 25727, 43601, 17749, 16809, 18166, 16674, 21600, 19841, 16821, 16936, 57753, 16397, 21206, 25227, 52314, 16704, 17131, 16647, 18123, 16673, 16647, 18251, 49185, 27371, 17434, 16397, 16772, 17567, 18166, 19841, 16821, 16936, 57753, 16769, 17707, 16701, 16699, 16395, 17242, 17805, 17104, 16674, 17242, 25421, 16949, 17260, 16397, 22316, 65488, 25438, 16673, 17969, 16395, 29921, 34756, 19526, 17407, 16395, 40665, 16395, 58130, 34161, 16674, 50638, 20324, 16397, 58511, 34756, 19526, 17407, 16672, 65488, 16769, 21022, 16715, 16647, 17701, 17435, 46228, 24319, 19813, 16641, 50821, 17225, 18435, 16395, 16944, 28434, 16647, 17953, 20664, 16673, 27835, 32113, 16397, 16772, 46044, 16642, 16674, 50638, 20324, 16672, 65488, 19834, 16647, 27835, 46044, 23091, 16672, 17073, 30131, 27426, 17731, 16674, 20781, 20557, 46044, 63044, 28523, 16604, 16391, 16442, 16415, 16449, 16399, 16400, 16403, 16399, 16444, 16392, 16397, 16772, 18166, 22072, 16673, 18206, 65488, 16769, 50821, 16725, 16395, 58130, 16674, 55590, 19962, 16395, 17233, 16642, 18482, 21085, 16673, 16901, 38647, 16734, 35658, 16674, 48649, 16674, 46060, 22803, 16674, 21992, 16397, 21206, 16821, 16936, 49685, 36002, 17274, 16741, 18509, 16646, 16837, 16680, 16915, 16604, 16391, 37554, 16802, 37792, 16673, 22269, 22418, 16392, 16674, 21830, 63044, 43380, 16604, 16391, 24430, 50911, 19841, 16821, 16936, 19924, 16392, 16604, 16391, 16442, 16415, 16449, 16399, 16399, 16404, 16404, 16444, 16392, 16769, 22439, 18545, 19153, 16721, 16843, 17882, 29144, 16672, 21992, 16395, 19153, 16734, 22803, 16395, 46044, 63044, 29160, 16395, 30034, 16865, 57610, 16395, 19800, 31451, 17378, 16817, 16395, 18472, 28452, 20062, 16674, 19260, 16673, 17417, 18950, 16397, 16772, 23299, 38094, 16715, 18509, 16646, 16837, 16680, 16915, 16674, 21830, 63044, 43380, 16769, 24552, 18122, 35830, 16673, 17969, 16395, 17655, 55789, 42083, 16395, 19652, 16817, 16674, 29155, 65488, 16397, 16772, 26615, 16673, 17655, 29155, 65488, 16769, 16671, 20303, 50821, 16725, 16673, 27835, 32113, 16395, 43790, 16647, 37792, 16673, 22269, 22418, 16395, 16674, 19238, 16647, 31060, 32113, 16815, 33405, 16397, 17664, 16769, 18295, 25054, 16671, 21182, 29155, 65488, 16395, 17789, 16647, 65148, 16673, 19588, 65488, 16944, 16704, 18761, 19680, 16397, 34767, 16395, 16647, 43461, 18125, 29155, 65488, 40908, 16884, 21243, 16673, 61489, 17644, 24648, 18933, 16748, 17040, 16604, 16391, 16418, 24147, 16392, 16395, 35981, 61489, 17644, 24648, 18933, 16748, 17040, 16604, 16391, 21066, 24147, 16392, 16674, 22960, 21107, 24648, 18933, 16748, 17040, 16741, 23175, 18998, 16674, 50821, 17160, 23969, 16397, 16875, 17551, 16395, 46044, 56978, 16843, 16703, 17494, 16672, 19001, 20049, 16673, 17259, 22372, 16397, 18708, 46044, 16724, 17553, 16843, 16703, 17405, 16741, 23175, 18998, 16395, 64549, 19310, 16674, 50821, 17160, 23969, 16672, 29155, 65488, 59462, 16397, 26303, 16870, 46044, 16724, 17553, 16672, 17213, 22372, 16395, 16986, 16769, 17027, 18295, 25069, 21126, 28937, 16944, 16769, 52988, 16715, 16647, 18356, 16741, 29155, 65488, 16395, 16693, 16397, 16454, 16397, 50298, 16674, 20381, 16396, 16705, 27624, 19962, 16397, 22391, 39171, 17575, 16843, 24187, 16647, 26709, 17434, 16674, 19650, 20053, 16672, 27835, 40817, 16395, 17437, 16647, 20381, 16396, 16705, 27624, 19962, 16704, 16917, 16673, 16647, 17889, 21454, 16671, 19650, 16647, 52354, 16673, 61036, 16709, 16647, 26102, 16397, 16582, 16582, 16428, 17495, 56978, 16704, 17969, 52948, 20932, 44306, 20166, 16870, 17494, 16672, 16641, 30046, 17679, 16673, 22372, 16674, 17027, 16672, 16991, 61036, 16397, 17664, 16769, 17259, 22372, 16944, 21005, 46044, 56978, 17274, 16741, 16604, 16393, 25993, 20534, 16813, 21547, 16393, 16790, 19983, 16397, 16395, 16604, 16393, 16423, 16949, 16656, 17248, 17700, 19252, 16682, 16730, 16393, 16790, 19983, 16397, 16395, 16604, 16393, 61984, 26393, 44960, 16642, 23091, 16393, 16604, 16391, 16427, 16841, 16397, 16392, 16719, 16397, 16417, 16397, 31241, 16395, 16604, 16393, 16430, 16450, 19548, 16843, 16768, 16393, 53403, 16397, 16395, 16604, 16393, 62347, 20275, 35820, 16758, 16393, 50247, 19013, 16397, 16395, 16604, 16393, 20372, 23875, 17997, 17184, 23875, 21357, 16768, 16393, 16796, 16397, 18855, 16397, 16674, 16604, 16393, 18944, 16716, 56552, 17058, 42020, 16396, 30354, 17833, 16768, 16393, 16790, 19983, 16397, 16604, 16391, 16442, 16415, 16449, 16399, 16400, 16401, 16404, 16444, 16392, 16397, 16604, 16393, 25993, 20534, 16813, 21547, 16393, 16790, 19983, 16397, 16604, 16391, 25582, 16672, 18545, 17830, 16741, 24607, 35181, 49388, 16959, 16785, 17829, 16844, 17862, 17584, 16672, 35649, 16392, 16395, 17797, 26780, 16683, 45348, 16704, 16641, 43132, 48926, 16395, 19711, 18217, 38978, 16604, 16391, 50759, 16721, 16807, 31336, 16671, 19711, 30230, 17099, 16397, 17513, 20569, 26809, 17415, 16604, 16404, 16404, 21896, 16674, 16604, 16406, 16404, 21896, 16773, 16395, 16944, 16769, 19164, 22692, 16395, 18334, 22346, 16395, 19164, 19979, 16395, 37638, 16674, 18334, 22692, 16392, 16734, 32605, 19134, 23746, 16604, 16391, 16442, 24001, 16397, 16604, 16400, 16444, 16391, 16386, 16453, 16399, 16399, 16399, 16404, 16392, 16474, 18452, 16396, 18926, 16412, 16385, 19327, 16385, 16476, 16392, 16397, 24607, 35181, 49388, 16959, 16704, 16667, 55587, 38978, 16674, 16872, 17301, 16992, 17405, 16741, 23175, 18998, 23969, 16672, 33522, 16466, 16674, 16726, 35843, 16397, 16999, 16704, 21772, 16672, 45515, 16711, 16674, 16719, 16395, 16741, 17204, 16741, 23083, 16395, 35658, 16674, 52948, 28598, 16397, 16875, 18150, 16395, 46044, 56978, 16815, 16811, 20282, 16872, 17027, 16992, 17405, 16741, 52743, 35649, 20839, 37192, 16715, 16647, 19165, 16673, 31392, 16795, 16395, 33690, 17146, 16395, 22999, 42460, 16674, 21800, 16661, 16397, 21656, 27100, 16674, 22485, 16769, 17405, 16741, 28479, 61186, 17225, 16395, 17682, 16865, 19828, 16674, 60876, 16472, 18413, 16675, 16397, 16772, 31862, 63255, 16675, 19165, 16672, 19679, 16872, 17405, 17073, 22485, 16674, 41182, 16715, 18241, 23798, 17987, 17274, 16741, 58117, 16395, 52283, 16674, 27835, 20053, 16604, 16391, 16442, 16415, 16449, 16399, 16399, 16399, 16404, 16444, 16392, 16397, 21656, 46044, 56978, 16704, 28414, 16673, 23693, 20932, 44306, 20166, 18302, 16734, 16647, 33208, 28474, 17415, 16604, 16404, 16397, 16402, 16674, 16604, 16404, 16397, 16403, 16395, 23858, 16759, 16396, 23896, 16935, 17040, 16741, 16641, 18166, 17334, 16786, 16861, 20166, 16870, 16674, 53666, 19751, 43246, 21672, 16604, 16391, 16442, 16415, 16449, 16399, 16399, 16401, 16399, 16444, 16392, 16397, 19736, 18722, 18077, 16872, 25402, 16721, 16647, 46044, 16724, 17553, 16673, 16604, 16393, 16417, 16397, 16813, 21547, 16393, 16790, 19983, 16397, 35265, 16809, 62958, 17969, 16767, 33208, 16604, 16400, 16400, 17655, 43017, 16715, 16604, 16402, 18331, 17784, 19296, 16647, 21165, 16759, 26234, 16423, 26883, 63121, 59554, 16674, 22077, 17439, 16459, 17160, 19962, 16673, 16604, 16400, 16397, 16399, 16400, 16674, 16604, 16400, 16400, 16397, 16400, 16403, 60225, 16673, 33216, 16719, 16674, 26625, 22238, 16395, 22358, 16604, 16391, 16442, 16415, 16449, 16399, 16400, 16399, 16404, 16444, 16392, 16397, 23466, 16395, 16647, 24431, 16673, 16811, 17875, 18077, 16763, 16671, 17460, 16641, 26987, 20432, 29155, 65488, 40908, 23858, 46044, 56978, 16815, 24607, 35181, 49388, 16959, 16809, 36183, 16647, 18567, 19689, 30448, 21454, 16604, 16391, 19379, 53172, 16395, 46565, 17595, 25364, 17230, 17005, 16392, 16674, 26987, 19811, 17789, 20381, 16396, 49802, 16795, 19962, 16674, 20381, 16396, 16705, 27624, 19962, 16397, 24001, 16397, 16604, 16400, 16853, 18456, 20282, 16673, 24607, 35181, 49388, 16959, 16604, 16391, 16393, 25993, 20534, 16813, 21547, 16393, 16790, 19983, 16397, 16392, 21317, 17073, 26715, 16395, 22714, 26780, 16683, 45348, 16397, 16582, 16582, 16401, 16397, 35703, 16674, 20625, 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, 16582, 16582, 16401, 16397, 16400, 16397, 35703, 16604, 16474, 16386, 16466, 16399, 16399, 16400, 16404, 16476, 16582, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16582, 16582, 34213, 35181, 49388, 16959, 16763, 24469, 16815, 16647, 18070, 21012, 17869, 16672, 32740, 16990, 39754, 27322, 16395, 31674, 17560, 18932, 16396, 21804, 16604, 16401, 16399, 16400, 16401, 16674, 21766, 16809, 16641, 30098, 16657, 16771, 16673, 16647, 30098, 50869, 24107, 16767, 34265, 16673, 51331, 16395, 32740, 16990, 39754, 18059, 16672, 31674, 16397, 16711, 63363, 46725, 16604, 16391, 16417, 18189, 16396, 16401, 16404, 16407, 16392, 16763, 40909, 16672, 16647, 39123, 35151, 16673, 32740, 16990, 39754, 18059, 16604, 16391, 32545, 16436, 16392, 39123, 35151, 16674, 56023, 23355, 16395, 19542, 16673, 37597, 16395, 34265, 16673, 21209, 16395, 32740, 16990, 39754, 18059, 16395, 31674, 16397, 51506, 16719, 16604, 16391, 16427, 16396, 16391, 16394, 16392, 16396, 20216, 43741, 16675, 22363, 16392, 16395, 16604, 16401, 16395, 16604, 16401, 16396, 56963, 38134, 16396, 16400, 16396, 33655, 16881, 29485, 29011, 18161, 16604, 16391, 24841, 29049, 16392, 16395, 38007, 17756, 47388, 27957, 16738, 16604, 16391, 28271, 16417, 16392, 16674, 16941, 17317, 16713, 16642, 35981, 16958, 16815, 48856, 35522, 18035, 16397, 16604, 16391, 17287, 16397, 22146, 16395, 25890, 16395, 21119, 16392, 16397, 18627, 32831, 49960, 16763, 24469, 16815, 21265, 16760, 16395, 21637, 16397, 24929, 43977, 49960, 16674, 35981, 63795, 16815, 16711, 40450, 33729, 23978, 16739, 17098, 24574, 16397, 16395, 20727, 16958, 17405, 16397, 17572, 16656, 16604, 16391, 35521, 16471, 17644, 24648, 16392, 37183, 27957, 16763, 24469, 16815, 32506, 35299, 19590, 28207, 16395, 19590, 16397, 17958, 16977, 30951, 16674, 54935, 16988, 16958, 16673, 36611, 23724, 16397, 16582, 16582, 16401, 16397, 16401, 16397, 16727, 17495, 56978, 35761, 16604, 16474, 16386, 16466, 16399, 16399, 16401, 16399, 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, 16582, 16582, 16853, 21012, 26715, 16673, 24607, 35181, 49388, 16959, 16604, 16391, 16400, 16399, 16399, 18331, 16454, 16392, 16958, 18668, 17065, 17785, 22364, 16395, 23776, 16646, 16895, 16734, 16604, 16406, 16399, 16399, 18331, 18953, 62958, 17969, 16715, 16604, 16401, 16403, 18331, 16455, 16674, 27520, 17140, 26134, 16767, 16604, 16405, 16399, 16399, 18331, 16438, 27859, 16715, 16604, 16404, 18331, 17784, 16397, 16772, 28262, 16763, 17177, 32037, 17181, 16641, 17775, 19073, 35357, 16397, 16772, 17566, 18178, 16758, 23858, 16647, 46044, 56978, 16763, 52220, 16665, 16767, 16604, 16403, 16395, 16405, 16405, 16399, 16454, 16604, 16391, 17529, 36747, 18877, 21537, 16395, 32506, 35299, 19376, 16397, 16395, 17360, 18533, 16395, 16876, 16397, 16434, 16397, 16416, 16392, 16604, 16401, 16404, 18331, 21896, 16418, 16715, 16604, 16402, 16399, 18331, 17784, 16397, 16772, 18445, 38573, 16795, 16763, 23980, 16395, 23590, 16734, 16604, 16408, 16404, 16388, 42680, 16604, 16391, 16402, 60225, 16672, 21765, 16392, 16671, 34936, 28985, 16647, 46044, 56978, 16674, 16691, 16396, 17529, 36747, 17086, 16665, 16767, 16604, 16403, 16395, 16405, 16405, 16399, 16454, 16715, 16604, 16400, 16404, 18331, 17784, 16397, 16772, 34936, 28985, 16763, 23980, 16674, 16647, 23063, 42680, 16672, 16647, 34936, 28985, 16763, 22111, 16809, 16641, 62233, 48202, 17662, 16604, 16391, 16417, 44499, 16395, 18497, 17431, 16724, 16395, 31562, 16392, 16604, 16391, 16404, 16399, 18331, 31334, 18331, 16401, 18331, 21896, 16418, 16392, 18015, 16858, 42680, 16763, 48202, 16895, 16674, 35474, 46883, 17521, 16809, 16641, 35474, 46883, 23074, 16604, 16391, 25248, 16773, 20523, 16396, 16400, 26712, 16908, 16396, 16403, 16399, 21131, 16395, 25128, 60777, 16396, 16431, 16996, 52248, 49719, 16395, 20111, 23112, 16395, 21637, 16392, 16767, 31949, 16404, 16399, 18331, 31334, 18331, 16401, 18331, 21896, 16418, 16397, 16772, 34515, 35474, 46883, 17521, 30938, 16673, 16647, 46044, 56978, 16763, 20589, 16767, 18392, 21452, 16604, 16391, 16401, 16404, 18331, 31334, 18331, 16401, 18331, 21896, 16418, 16392, 18015, 17231, 16397, 16582, 16582, 16401, 16397, 16402, 16397, 17829, 16472, 16928, 30448, 46819, 16604, 16474, 16386, 16466, 16399, 16399, 16401, 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, 16582, 16582, 16853, 46044, 56978, 16763, 28060, 16715, 55934, 16928, 30448, 43400, 16604, 16391, 25463, 16735, 35318, 18339, 16395, 29921, 22287, 18302, 16395, 16640, 17443, 16642, 16395, 17378, 60017, 29302, 16395, 28576, 16645, 29302, 16674, 32847, 16666, 29302, 16392, 17655, 16647, 19749, 20625, 16604, 16391, 16442, 16415, 16449, 16399, 16400, 16399, 16399, 16444, 16392, 16397, 17544, 29764, 16735, 35318, 16877, 16395, 16604, 16399, 16397, 16399, 16404, 18331, 16454, 16673, 16647, 46044, 56978, 16763, 17646, 17065, 16641, 22269, 17709, 28890, 16395, 18973, 16734, 16604, 16401, 18331, 18953, 16673, 32907, 16462, 17024, 16674, 52806, 16715, 16604, 16404, 18331, 17784, 16397, 16772, 46044, 56978, 16763, 42873, 16397, 16772, 17566, 18178, 16758, 16763, 23590, 16734, 16667, 21895, 21765, 16673, 16604, 16400, 16399, 16388, 60069, 20075, 16674, 52806, 16397, 16711, 28666, 16776, 42607, 16785, 18901, 20241, 16672, 16647, 47127, 24697, 16666, 22450, 16604, 16391, 36502, 22450, 16392, 24483, 16647, 21057, 16673, 29764, 16735, 35318, 16877, 16397, 16772, 41161, 34803, 16673, 25428, 57440, 16763, 20888, 16809, 16700, 21078, 18197, 16397, 16772, 46044, 56978, 42315, 16672, 17969, 16763, 33567, 16709, 16647, 58365, 28170, 23735, 16672, 30163, 16671, 16647, 19749, 25428, 57440, 16604, 16391, 62001, 17040, 16395, 16662, 17621, 17040, 16674, 23713, 30102, 16392, 16397, 16772 ]
[ 0, 38194, 16604, 16474, 16386, 16466, 16400, 16476, 16582, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16582, 16582, 40643, 36112, 20791, 17783, 16641, 27083, 18814, 16672, 16647, 17417, 16674, 18554, 16673, 16647, 50601, 22091, 43283, 16397, 18196, 32791, 24709, 16873, 24339, 16647, 18712, 19062, 16715, 19732, 31395, 22089, 16674, 25341, 16397, 18523, 16395, 16672, 23910, 16673, 31395, 20962, 17274, 16741, 17560, 29243, 58385, 53744, 16915, 16396, 16644, 16874, 48320, 22193, 16604, 16391, 20678, 16424, 16392, 16395, 16873, 16843, 18222, 60006, 16674, 16703, 16647, 27062, 44142, 16673, 50601, 22091, 43283, 18554, 16397, 23466, 16395, 17009, 19165, 23575, 16944, 16769, 23557, 16673, 31022, 46386, 36002, 17560, 29243, 16687, 22777, 17123, 21033, 58385, 22193, 16395, 30245, 34947, 17917, 16674, 19077, 21903, 25178, 16672, 18873, 16734, 53744, 16675, 18544, 20062, 16397, 16582, 16582, 17071, 16811, 19130, 16395, 16647, 46386, 17451, 16856, 16396, 16757, 57477, 16856, 22036, 43441, 16395, 32788, 18144, 16604, 16391, 44810, 16649, 16954, 16674, 31146, 16642, 18826, 56252, 16709, 47990, 16604, 16400, 16399, 16392, 16396, 31263, 43441, 16604, 16400, 16604, 16391, 16431, 36506, 16400, 16392, 16395, 17123, 18288, 16641, 20318, 31624, 18821, 16715, 19384, 29338, 19526, 16839, 16604, 16442, 16415, 16463, 16877, 16397, 16399, 16399, 16405, 16401, 16403, 16399, 16399, 16396, 16434, 18427, 16828, 16400, 16444, 16397, 34797, 16964, 16672, 16647, 16739, 36506, 16400, 23273, 16769, 21022, 16715, 16647, 18251, 49906, 46721, 16802, 16739, 33136, 16405, 38571, 17510, 16673, 18334, 37073, 45198, 20062, 16395, 16641, 24438, 17094, 23010, 17225, 26390, 29781, 16809, 16647, 19260, 16673, 29432, 16707, 21722, 28333, 35627, 16672, 16647, 22721, 16915, 55150, 16735, 16604, 16442, 16415, 16463, 16877, 16397, 16399, 16399, 16405, 16401, 16403, 16399, 16399, 16396, 19114, 27653, 16400, 16444, 16397, 59314, 16836, 20118, 16673, 16739, 36506, 16400, 16672, 35627, 18466, 16672, 46386, 36002, 29781, 16809, 16409, 46386, 29993, 17517, 19992, 17873, 16604, 16442, 16415, 16463, 16877, 16397, 16399, 16399, 16405, 16401, 16403, 16399, 16399, 16396, 38868, 16426, 16861, 16473, 20061, 16400, 16444, 16395, 16604, 16442, 16415, 16463, 16877, 16397, 16399, 16399, 16405, 16401, 16403, 16399, 16399, 16396, 16422, 16770, 20489, 16400, 16444, 16395, 21999, 46386, 17599, 23958, 16674, 42560, 19415, 16604, 16442, 16415, 16463, 16877, 16397, 16399, 16399, 16405, 16401, 16403, 16399, 16399, 16396, 40812, 16400, 16444, 16395, 19800, 49106, 20962, 16604, 16442, 16415, 16463, 16877, 16397, 16399, 16399, 16405, 16401, 16403, 16399, 16399, 16396, 38868, 16426, 16861, 16473, 20061, 16400, 16444, 16395, 16604, 16442, 16415, 16463, 16877, 16397, 16399, 16399, 16405, 16401, 16403, 16399, 16399, 16396, 16422, 16770, 20489, 16400, 16444, 16395, 16604, 16442, 16415, 16463, 16877, 16397, 16399, 16399, 16405, 16401, 16403, 16399, 16399, 16396, 57778, 16400, 16444, 16396, 16396, 16442, 16415, 16463, 16877, 16397, 16399, 16399, 16405, 16401, 16403, 16399, 16399, 16396, 16419, 16750, 19060, 16400, 16444, 16395, 46386, 35658, 56383, 16604, 16442, 16415, 16463, 16877, 16397, 16399, 16399, 16405, 16401, 16403, 16399, 16399, 16396, 16422, 16770, 20489, 16400, 16444, 16395, 16674, 28282, 51485, 16671, 46386, 62102, 23052, 55292, 16604, 16391, 23801, 25353, 16392, 20994, 16604, 16442, 16415, 16463, 16877, 16397, 16399, 16399, 16405, 16401, 16403, 16399, 16399, 16396, 16422, 16770, 20489, 16400, 16444, 16397, 16875, 23065, 16395, 20909, 16396, 18926, 16739, 36506, 16400, 16872, 16992, 19074, 16671, 19238, 35627, 16815, 46386, 36002, 16604, 16442, 16415, 16463, 16877, 16397, 16399, 16399, 16405, 16401, 16403, 16399, 16399, 16396, 19114, 27653, 16400, 16444, 16395, 21033, 46386, 19332, 16928, 50746, 16719, 19578, 16674, 21671, 16463, 16954, 16604, 16402, 16674, 16604, 16408, 29304, 16604, 16442, 16415, 16463, 16877, 16397, 16399, 16399, 16405, 16401, 16403, 16399, 16399, 16396, 39314, 16654, 16400, 16444, 16395, 16604, 16442, 16415, 16463, 16877, 16397, 16399, 16399, 16405, 16401, 16403, 16399, 16399, 16396, 63275, 16401, 16444, 16395, 16674, 46471, 19966, 39808, 22585, 18155, 18554, 16604, 16442, 16415, 16463, 16877, 16397, 16399, 16399, 16405, 16401, 16403, 16399, 16399, 16396, 19114, 27653, 16400, 16444, 16395, 16604, 16442, 16415, 16463, 16877, 16397, 16399, 16399, 16405, 16401, 16403, 16399, 16399, 16396, 39314, 16654, 16400, 16444, 16397, 16582, 16582, 59149, 16395, 16739, 36506, 16400, 22036, 16704, 20349, 23078, 16672, 16647, 52047, 17997, 16604, 16442, 16415, 16463, 16877, 16397, 16399, 16399, 16405, 16401, 16403, 16399, 16399, 16396, 18495, 38866, 16400, 16444, 16850, 17073, 18814, 16672, 16647, 18544, 16395, 16704, 16804, 18271, 16604, 16442, 16415, 16463, 16877, 16397, 16399, 16399, 16405, 16401, 16403, 16399, 16399, 16396, 16434, 18427, 16828, 16400, 16444, 16395, 16604, 16442, 16415, 16463, 16877, 16397, 16399, 16399, 16405, 16401, 16403, 16399, 16399, 16396, 16434, 18427, 16828, 16401, 16444, 16397, 29325, 17073, 29048, 19938, 16709, 46386, 17917, 16674, 24438, 24861, 16802, 21454, 16395, 16742, 28020, 18515, 16739, 36506, 16400, 17120, 17027, 19238, 16647, 18544, 17647, 29243, 16687, 22777, 16397, 17119, 17393, 16721, 16647, 19260, 16673, 16739, 36506, 16400, 23361, 16647, 18544, 16443, 16390, 16466, 39186, 16671, 53744, 16915, 16396, 16644, 16874, 48320, 22193, 16674, 16811, 17123, 16703, 16809, 63018, 46386, 17917, 16397, 16582, 16582, 65433, 16674, 33486, 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, 16582, 16582, 53220, 25717, 16958, 22546, 16672, 23941, 25828, 16734, 16647, 16604, 16393, 17375, 37764, 16393, 16604, 16391, 16393, 43268, 17157, 58449, 16393, 16392, 16604, 16393, 22574, 16604, 16400, 16408, 16407, 16405, 16393, 19807, 16809, 16647, 19590, 21026, 21146, 16674, 16647, 16604, 16393, 57218, 16715, 16647, 21621, 16674, 23890, 16673, 34791, 44115, 16393, 19807, 16809, 16647, 17824, 18611, 50992, 16673, 19218, 16604, 16391, 16429, 31764, 52054, 17933, 16397, 16604, 16407, 16404, 16396, 16396, 16401, 16402, 16395, 32767, 16604, 16400, 16408, 16408, 16405, 16392, 16397, 32816, 17738, 16872, 16992, 24971, 16809, 16641, 18070, 31664, 18603, 19605, 16767, 18059, 19780, 19706, 16397, 17958, 20849, 16958, 17366, 16671, 34541, 24171, 16397, 16582, 16582, 26024, 16396, 16400, 26934, 27971, 16674, 16739, 36506, 16400, 20956, 16396, 42279, 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, 16582, 16582, 26024, 16396, 16400, 19487, 16769, 16667, 16911, 27624, 20643, 16856, 16767, 20428, 18155, 18089, 16721, 60480, 21116, 16672, 19995, 16604, 16391, 17347, 19487, 16958, 21715, 16815, 33221, 33604, 16392, 16604, 16442, 16415, 16463, 16877, 16397, 16399, 16399, 16405, 16401, 16403, 16399, 16399, 16396, 65155, 33604, 16400, 16444, 16397, 45382, 16958, 47745, 16672, 24588, 19995, 17314, 22359, 17036, 16396, 61750, 16715, 16604, 16401, 16396, 16396, 16402, 52754, 16734, 16604, 16400, 16399, 40118, 16454, 16398, 18953, 44110, 16877, 16694, 16642, 16604, 16391, 16451, 16724, 19661, 16672, 16604, 16399, 16397, 16399, 16401, 16388, 28170, 21990, 16392, 16397, 32014, 22767, 16604, 16391, 65155, 33604, 18691, 51019, 16734, 16604, 16400, 16399, 16388, 16773, 21371, 16395, 16604, 16401, 42745, 16790, 44960, 27957, 16604, 16391, 35152, 16654, 27909, 16395, 29547, 17435, 16392, 16395, 16604, 16399, 16397, 16400, 42745, 49108, 48358, 17057, 25653, 16604, 16391, 65102, 16672, 16604, 16402, 16399, 42745, 16741, 23317, 16449, 16675, 22363, 16392, 16395, 16604, 16404, 16399, 16399, 62414, 20145, 16675, 47482, 16674, 16604, 16404, 16399, 16399, 40118, 16454, 22218, 16849, 22091, 27225, 16604, 16391, 16431, 18593, 52610, 16392, 16392, 16763, 20152, 17155, 16604, 16400, 16396, 16396, 16401, 17897, 16674, 19487, 16958, 26447, 16767, 16604, 16402, 16406, 21896, 16418, 16672, 16604, 16408, 16404, 16388, 16430, 16477, 16401, 16477, 16398, 16404, 16388, 23934, 16477, 16401, 16477, 16734, 16604, 16408, 16399, 16388, 42019, 16397, 16582, 16582, 16416, 18655, 27280, 34312, 16739, 36506, 16400, 17131, 16647, 18123, 16673, 16647, 32390, 16437, 42203, 16604, 16391, 20526, 50559, 63217, 16604, 16400, 16402, 16402, 16400, 16404, 16409, 36816, 36666, 16396, 22370, 17904, 16404, 16402, 16739, 36506, 16400, 16392, 16815, 20712, 50559, 19376, 16397, 16395, 29177, 16395, 24636, 16763, 17405, 16671, 17030, 16396, 47725, 16739, 36506, 16400, 16397, 59306, 16396, 16400, 19487, 16958, 62159, 21396, 44110, 16877, 16694, 16642, 45335, 21543, 19492, 56589, 16674, 19028, 25880, 16604, 16404, 16399, 16396, 16396, 16405, 16399, 16388, 17588, 40004, 16958, 17333, 39288, 16715, 16604, 16401, 16403, 18626, 17655, 16773, 17086, 17416, 16405, 19116, 16490, 16604, 16391, 27208, 17042, 16395, 19590, 16392, 18745, 16671, 28488, 16390, 16466, 26084, 16397, 16772, 16664, 24902, 25622, 20825, 63217, 16604, 16391, 18747, 16645, 28298, 16392, 16763, 19618, 16715, 27353, 16673, 24228, 17333, 39288, 19487, 16395, 16767, 16641, 21844, 16673, 16604, 16400, 34463, 16498, 16401, 16397, 16772, 27280, 18123, 17585, 16763, 28727, 16741, 19487, 17333, 39288, 16734, 16667, 23073, 63217, 20825, 27280, 16604, 16391, 16433, 16450, 32545, 16437, 16392, 16397, 16711, 18655, 27280, 34312, 16739, 36506, 16400, 17131, 16647, 18123, 16673, 16647, 32390, 16437, 42203, 16604, 16391, 20526, 50559, 63217, 16604, 16400, 16402, 16402, 16400, 16404, 16409, 36816, 36666, 16396, 22370, 17904, 16404, 16402, 16739, 36506, 16400, 16392, 16815, 20712, 50559, 19376, 16397, 16395, 29177, 16395, 24636, 16763, 17405, 16671, 17030, 16396, 47725, 16739, 36506, 16400, 16672, 16641, 21681, 17280, 16673, 19487, 16397, 16772, 16664, 24902, 25622, 20825, 63217, 16604, 16391, 18747, 16645, 28298, 16392, 16763, 19618, 16715, 27353, 16673, 24228, 17333, 39288, 19487, 16395, 16767, 16641, 21844, 16673, 16604, 16400, 34463, 16498, 16401, 16397, 16772, 17333, 22302, 34792, 16763, 16604, 16405, 16399, 16396, 16396, 16406, 16399, 16388, 16673, 19487, 16397, 27971, 18691, 23858, 17333, 22302, 22539, 16763, 24301, 16734, 21012, 19134, 22767, 16674, 19487, 16958, 44741, 29867, 16397, 26126, 18443, 16671, 16641, 19744, 16673, 16641, 18462, 43461, 18125, 16739, 36506, 16400, 34567, 16958, 16804, 17914, 16671, 26157, 16739, 36506, 16400, 22036, 20825, 16785, 47587, 16397, 16582, 16582, 23586, 21111, 17602, 23978, 16915, 16396, 16644, 16874, 48320, 47867, 16672, 59306, 16396, 16400, 45382, 20956, 16396, 47725, 16661, 16739, 36506, 16400, 16604, 16474, 16386, 16466, 16401, 16449, 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, 16582, 16582, 17071, 17970, 16671, 21349, 16647, 17717, 16673, 16739, 36506, 16400, 17030, 16396, 42279, 16709, 16647, 51485, 16671, 41935, 53744, 16915, 16396, 16644, 16874, 48320, 22193, 16604, 16391, 16434, 20678, 16424, 16392, 16395, 59306, 16396, 16400, 19487, 16958, 35024, 16671, 16641, 31132, 21888, 16673, 43384, 21830, 61752, 16674, 16691, 32917, 18511, 16725, 16604, 16442, 16415, 16463, 16877, 16397, 16399, 16399, 16405, 16401, 16403, 16399, 16399, 16396, 34113, 16400, 16444, 16395, 16604, 16442, 16415, 16463, 16877, 16397, 16399, 16399, 16405, 16401, 16403, 16399, 16399, 16396, 36166, 16400, 16444, 16397, 27971, 22767, 16763, 22111, 16674, 24301, 16734, 21830, 43542, 27671, 16604, 16391, 17070, 34533, 16672, 42745, 16409, 16908, 16423, 16477, 16401, 16477, 24000, 16477, 16403, 16477, 16604, 16400, 16397, 16399, 16395, 24876, 16423, 23934, 16477, 16402, 16477, 16604, 16400, 16399, 16397, 16399, 16395, 48869, 18747, 16477, 16401, 16477, 16397, 16405, 16423, 16477, 16401, 16477, 16430, 16604, 16400, 16397, 16401, 16395, 24876, 18743, 16431, 18311, 16604, 16401, 16404, 16397, 16399, 16395, 24876, 18747, 16604, 16406, 16403, 16397, 16399, 16395, 16908, 18747, 16604, 16400, 16405, 16395, 23050, 18747, 16477, 16401, 16477, 16604, 16400, 16397, 16401, 16674, 24876, 16427, 16935, 16758, 16604, 16401, 16399, 16767, 33208, 16604, 16405, 16397, 16401, 16395, 38437, 17400, 16734, 16604, 16400, 16399, 16399, 16388, 36867, 16392, 16674, 17177, 21568, 16672, 16667, 18398, 54121, 18306, 16396, 37571, 21830, 43542, 28694, 20589, 16767, 16604, 16402, 16406, 21896, 16418, 16715, 16604, 16400, 16401, 18626, 16671, 49840, 53744, 16915, 16397, 28671, 16647, 18472, 16673, 41935, 53744, 16915, 16395, 16647, 19487, 16958, 22111, 16815, 16647, 21830, 43542, 28694, 16674, 21568, 16672, 18824, 43542, 33221, 33604, 22767, 16604, 16391, 44829, 16604, 16402, 40118, 16428, 18840, 58582, 56345, 16870, 16392, 16674, 21506, 16671, 16641, 24588, 19995, 32773, 17662, 16395, 16671, 49840, 37882, 48320, 16397, 28671, 16604, 16400, 20347, 41935, 37882, 48320, 16767, 16604, 16402, 16406, 21896, 16418, 16395, 16647, 24101, 16673, 16796, 25622, 16396, 21527, 39288, 19487, 42305, 16734, 18840, 58582, 56345, 16870, 16763, 21487, 17655, 16641, 55209, 54798, 34060, 16401, 16399, 16399, 48584, 45652, 16672, 17970, 16671, 31284, 16647, 24101, 18155, 18554, 16672, 17492, 19165, 17585, 16397, 17544, 17492, 19165, 17585, 16604, 16407, 16399, 19487, 16958, 33855, 16395, 18711, 16815, 17910, 32965, 16396, 32800, 22262, 16673, 18058, 16397, 17170, 21378, 16763, 23517, 16709, 16767, 17965, 17910, 21681, 30775, 19813, 16641, 18804, 16673, 16604, 16402, 16401, 16399, 19487, 16972, 19165, 17585, 16397, 17544, 16641, 17005, 16396, 47250, 18824, 43542, 18123, 17585, 16395, 59306, 16396, 16400, 19487, 16958, 21568 ]
[ 0, 16432, 16409, 16582, 16582, 23556, 17297, 24812, 17586, 16734, 28810, 31746, 16815, 18462, 32616, 16672, 38200, 16604, 16402, 16582, 16582, 16828, 16397, 16687, 17137, 16671, 24303, 16647, 18462, 24812, 17586, 16815, 46873, 63236, 28874, 16604, 16391, 58940, 16604, 16402, 16392, 16395, 18919, 16395, 16728, 18937, 16647, 41470, 19288, 16397, 16687, 16843, 16390, 16467, 16969, 16715, 18185, 21008, 48014, 16604, 16391, 17770, 16604, 16390, 20235, 16391, 33624, 16397, 30015, 40283, 16446, 19862, 16446, 19280, 16397, 24168, 16391, 16385, 51083, 21512, 18987, 16385, 16392, 16392, 16390, 16392, 16582, 18665, 25118, 16676, 16741, 62748, 16582, 18665, 17005, 16582, 20563, 46764, 43180, 17609, 46764, 43180, 16395, 19436, 16582, 20563, 32817, 16397, 18770, 16397, 19234, 23433, 43378, 17609, 16799, 24832, 43378, 16582, 20563, 32817, 16397, 18770, 16397, 44941, 17326, 58585, 17609, 47378, 17326, 58585, 16582, 18665, 16691, 16582, 16582, 29958, 16466, 16412, 16442, 16582, 16390, 16404, 16390, 16582, 16444, 16582, 16582, 17756, 18509, 16672, 26634, 16409, 16582, 16696, 33624, 16604, 16412, 46764, 43180, 16391, 16392, 16696, 16696, 16696, 16604, 16582, 16696, 21854, 16466, 16604, 16412, 16799, 24832, 43378, 16391, 33624, 16392, 16696, 16650, 16582, 16696, 21215, 16604, 16412, 16604, 16385, 16400, 16401, 16406, 16397, 16399, 16397, 16399, 16397, 16400, 16385, 16582, 16696, 16970, 16604, 16412, 16604, 16406, 16403, 16408, 16405, 16582, 16696, 24645, 19157, 16604, 16412, 16604, 16401, 16404, 16582, 16696, 21854, 16466, 16397, 16452, 33236, 16391, 21215, 16395, 18463, 16395, 21281, 19157, 16392, 16604, 16582, 16696, 21773, 16604, 16412, 19436, 16391, 16392, 16696, 16696, 16696, 16696, 16582, 16696, 33624, 16397, 22249, 28159, 16446, 64526, 16391, 16392, 16582, 16696, 42042, 16446, 37037, 16604, 16412, 18725, 16397, 21773, 16446, 42042, 16391, 16471, 16395, 16604, 16390, 17904, 16426, 16390, 16395, 16604, 16390, 19890, 54551, 16390, 16395, 16604, 16390, 54551, 16419, 16390, 16392, 16582, 16696, 16467, 28539, 19157, 16604, 16412, 16604, 16407, 16399, 16399, 16400, 16582, 16582, 16696, 21854, 16466, 16397, 29147, 38824, 40283, 19862, 16391, 16467, 28539, 19157, 16395, 16604, 16582, 16696, 16696, 16696, 16696, 16696, 16650, 42042, 16446, 37037, 16395, 16582, 16696, 16696, 16696, 16696, 16696, 16650, 16385, 29969, 54695, 16385, 16582, 16696, 16696, 16696, 16696, 16696, 16650, 16392, 16582, 16696, 18489, 16397, 42802, 16391, 16404, 16392, 16582, 16582, 16696, 20054, 16391, 33624, 16397, 30015, 40283, 16446, 19862, 16446, 19280, 16392, 16582, 16696, 20054, 16391, 33624, 16397, 30015, 40283, 16446, 19862, 16446, 19280, 16397, 24168, 16391, 16385, 16416, 17841, 22153, 16385, 16392, 16392, 16604, 16582, 16696, 20054, 16391, 33624, 16397, 30015, 40283, 16446, 19862, 16446, 19280, 16397, 24168, 16391, 16385, 18513, 16421, 25688, 16433, 16385, 16392, 16392, 16582, 16696, 20054, 16391, 33624, 16397, 30015, 40283, 16446, 19862, 16446, 19280, 16397, 24168, 16391, 16385, 19240, 20137, 16404, 16440, 24011, 16422, 16385, 16392, 16392, 16582, 16696, 20054, 16391, 33624, 16397, 30015, 40283, 16446, 19862, 16446, 19280, 16397, 24168, 16391, 16385, 51083, 21512, 18987, 16385, 16392, 16392, 16582, 16696, 20054, 16391, 33624, 16397, 30015, 40283, 16446, 19862, 16446, 19280, 16397, 24168, 16391, 16385, 46204, 18013, 16417, 16437, 19725, 16385, 16392, 16392, 16582, 16696, 20054, 16391, 33624, 16397, 30015, 40283, 16446, 19862, 16446, 19280, 16397, 24168, 16391, 16385, 17879, 16437, 20260, 25855, 16440, 16433, 16385, 16392, 16392, 16582, 16696, 20054, 16391, 33624, 16397, 30015, 40283, 16446, 19862, 16446, 19280, 16397, 24168, 16391, 16385, 17879, 47557, 17879, 19888, 26517, 16385, 16392, 16392, 16582, 16696, 21854, 16466, 16397, 16452, 21466, 23760, 16391, 16392, 16582, 16696, 18489, 16397, 42802, 16391, 16404, 16392, 16604, 16582, 16582, 21854, 16466, 16397, 16452, 21466, 23760, 16391, 16392, 16582, 16582, 28909, 16409, 16582, 17409, 16704, 16858, 16672, 41470, 22564, 16395, 17154, 24812, 17586, 16843, 16703, 19628, 16397, 16582, 16604, 16411, 16414, 27702, 19288, 16412, 16385, 16400, 16397, 16399, 16385, 36143, 16412, 16385, 45044, 16396, 16407, 16385, 16414, 16413, 16582, 16604, 16411, 17506, 16780, 16800, 54695, 26481, 16412, 16385, 16400, 16385, 36556, 16412, 16385, 16399, 16385, 17143, 20228, 16412, 16385, 16400, 16385, 16413, 16582, 16696, 16411, 22520, 51687, 16413, 16582, 16696, 16696, 16696, 16411, 22520, 18320, 26170, 16412, 16385, 21223, 19084, 16385, 16413, 18513, 16402, 16400, 16406, 16411, 16398, 22520, 18320, 16413, 16582, 16696, 16696, 16696, 16411, 22520, 18320, 26170, 16412, 16385, 42067, 18679, 16385, 16413, 23100, 19634, 33979, 59720, 16604, 16391, 56360, 25210, 16392, 16411, 16398, 22520, 18320, 16413, 16582, 16696, 16411, 16398, 22520, 51687, 16413, 16582, 16696, 16411, 43304, 17296, 16413, 16582, 16696, 16696, 16696, 16411, 60528, 21708, 16412, 16385, 16400, 16385, 26170, 16412, 16385, 16418, 16385, 19390, 16450, 16412, 16385, 34334, 25391, 16385, 25997, 16412, 16385, 16400, 16385, 16413, 16582, 16696, 16696, 16696, 16696, 16696, 16411, 60528, 18320, 26170, 16412, 16385, 18679, 16385, 16413, 54427, 19354, 39947, 16411, 16398, 60528, 18320, 16413, 16582, 16696, 16696, 16696, 16696, 16696, 16411, 60528, 18320, 26170, 16412, 16385, 16435, 28539, 16385, 16413, 16404, 16411, 16398, 60528, 18320, 16413, 16582, 16696, 16696, 16696, 16696, 16696, 16411, 60528, 18320, 26170, 16412, 16385, 16418, 18763, 20337, 16385, 16413, 16422, 16403, 16405, 16402, 16403, 16436, 16400, 16405, 16408, 16411, 16398, 60528, 18320, 16413, 16582, 16696, 16696, 16696, 16696, 16696, 16411, 60528, 18320, 26170, 16412, 16385, 18629, 17681, 16385, 16413, 22588, 16399, 16399, 16399, 16404, 16403, 16399, 16404, 16401, 16407, 16405, 16411, 16398, 60528, 18320, 16413, 16582, 16696, 16696, 16696, 16696, 16696, 16411, 60528, 18320, 26170, 16412, 16385, 64211, 16385, 16413, 16399, 16399, 16399, 16404, 16397, 54551, 16411, 16398, 60528, 18320, 16413, 16582, 16696, 16696, 16696, 16696, 16696, 16411, 60528, 18320, 26170, 16412, 16385, 16434, 18525, 19785, 16385, 16413, 16405, 16400, 16404, 16407, 16400, 16405, 16402, 16411, 16398, 60528, 18320, 16413, 16582, 16696, 16696, 16696, 16696, 16696, 16411, 60528, 18320, 26170, 16412, 16385, 35864, 64211, 16385, 16413, 16399, 16399, 16399, 16404, 16397, 54551, 16411, 16398, 60528, 18320, 16413, 16582, 16696, 16696, 16696, 16696, 16696, 16411, 60528, 18320, 26170, 16412, 16385, 17071, 38193, 31164, 16385, 16413, 16402, 16400, 16401, 16401, 16406, 16399, 16411, 16398, 60528, 18320, 16413, 16582, 16696, 16696, 16696, 16696, 16696, 16411, 60528, 18320, 26170, 16412, 16385, 38779, 31164, 16385, 16413, 16400, 16399, 16403, 16408, 16402, 16401, 16403, 16411, 16398, 60528, 18320, 16413, 16582, 16696, 16696, 16696, 16696, 16696, 16411, 51623, 24245, 16412, 16385, 54551, 16422, 16385, 26437, 16412, 16385, 54551, 16422, 16385, 16413, 56360, 25210, 25391, 16696, 16696, 16696, 16696, 16696, 16604, 16582, 51623, 16411, 16398, 51623, 16413, 16582, 16696, 16696, 16696, 16696, 16696, 16411, 23741, 43670, 51417, 26316, 16412, 16385, 16401, 16399, 16399, 16408, 16396, 16399, 16402, 16396, 16604, 16582, 16400, 16401, 16385, 16413, 16400, 16397, 16400, 16403, 16406, 16404, 16402, 16411, 16398, 23741, 43670, 51417, 16413, 16582, 16696, 16696, 16696, 16411, 16398, 60528, 16413, 16582, 16696, 16411, 16398, 43304, 17296, 16413, 16582, 16696, 16411, 22520, 28286, 22407, 16413, 16582, 16696, 16696, 16696, 16411, 22520, 25211, 24245, 16412, 16385, 16400, 16385, 16413, 33889, 16411, 16398, 22520, 25211, 16413, 16582, 16696, 16696, 16696, 16411, 22520, 18954, 24245, 16412, 16385, 58912, 16385, 16413, 21711, 16798, 35374, 16411, 16398, 22520, 18954, 16413, 16582, 16696, 16696, 16696, 16411, 22501, 55809, 16413, 16401, 16399, 16400, 16407, 16396, 16399, 16406, 16396, 16401, 16399, 16411, 16398, 22501, 55809, 16413, 16582, 16696, 16696, 16696, 16411, 49187, 44225, 57745, 16413, 16401, 16399, 16400, 16406, 16396, 16400, 16401, 16396, 16402, 16400, 16411, 16398, 49187, 44225, 57745, 16413, 16582, 16696, 16696, 16696, 16411, 49187, 44225, 22664, 16706, 16413, 16401, 16399, 16400, 16407, 16396, 16399, 16402, 16396, 16402, 16400, 16411, 16398, 49187, 44225, 22664, 16706, 16413, 16582, 16696, 16696, 16696, 16411, 42875, 19290, 22628, 43473, 16412, 16385, 16401, 16399, 16400, 16407, 16396, 16399, 16402, 16396, 16402, 16400, 16385, 16413, 16401, 16401, 16407, 16407, 16408, 16408, 16411, 16398, 42875, 19290, 16413, 16582, 16696, 16696, 16696, 16411, 40767, 21977, 26316, 16412, 16385, 16401, 16399, 16400, 16407, 16396, 16399, 16406, 16396, 16401, 16403, 16385, 16604, 16582, 30308, 34750, 16412, 16385, 16400, 16408, 16407, 16407, 16401, 16408, 16404, 16401, 16406, 16400, 16402, 16397, 16399, 16385, 16413, 16400, 16408, 16408, 16404, 16401, 16404, 16399, 16406, 16404, 16401, 16400, 16397, 16399, 16411, 16398, 40767, 21977, 16413, 16582, 16696, 16696, 16696, 16411, 45046, 62637, 24245, 16412, 16385, 45051, 16385, 16413, 16436, 16397, 16434, 16397, 33754, 17533, 16411, 16398, 45046, 62637, 16413, 16582, 16696, 16696, 16696, 16411, 23741, 43670, 51623, 26316, 16412, 16385, 16401, 16399, 16400, 16407, 16396, 16399, 16406, 16396, 16401, 16403, 16385, 16413, 16400, 16397, 16399, 16411, 16398, 23741, 43670, 51623, 16413, 16582, 16696, 16411, 16398, 22520, 28286, 22407, 16413, 16582, 16696, 16411, 21240, 22407, 16413, 16582, 16696, 16696, 16696, 16411, 21240, 26170, 16412, 16385, 31671, 39729, 16385, 17367, 55809, 16412, 16385, 16401, 16399, 16400, 16406, 16396, 16399, 16402, 16396, 16604, 16582, 16604, 16399, 16405, 16435, 16401, 16401, 16409, 16399, 16402, 16409, 16400, 16406, 16385, 16413, 23100, 19634, 33979, 59720, 16604, 16391, 23100, 19634, 16392, 16704, 16647, 27717, 16674, 19144, 18373, 16604, 16582, 17766, 16397, 16772, 20433, 32959, 17073, 19059, 16674, 18373, 17181, 17910, 16696, 16604, 16582, 20911, 16409, 37672, 41358, 16674, 40172, 20943, 16604, 16391, 50536, 43950, 16392, 16395, 33872, 41358, 16604, 16582, 16604, 16391, 16418, 28673, 16392, 16395, 22653, 41358, 16674, 37463, 16604, 16391, 22588, 16389, 17113, 16410, 16428, 16392, 16395, 16674, 22653, 29363, 41358, 16604, 16582, 16604, 16391, 32089, 16417, 16392, 16397, 16999, 28435, 18325, 19001, 40760, 23349, 16395, 16944, 18379, 16604, 16582, 18540, 16395, 22852, 16395, 22911, 20130, 16674, 18827, 20952, 16395, 18827, 18924, 16674, 25631, 18924, 16397, 16604, 16582, 37652, 43950, 17598, 19933, 37672, 41358, 16395, 40172, 20943, 16395, 36324, 20943, 16674, 16604, 16582, 27321, 16397, 16719, 28673, 18373, 18379, 18055, 19874, 16395, 17902, 25079, 16395, 22526, 16604, 16582, 18373, 16674, 19440, 19972, 18078, 29731, 16395, 18493, 16977, 18373, 16395, 16741, 17204, 16604, 16582, 16741, 25618, 16672, 59620, 16674, 41401, 16395, 16674, 18291, 16671, 19144, 21978, 16397, 16604, 16582, 34479, 16389, 17113, 16410, 16428, 24414, 17995, 16395, 22469, 16674, 27533, 21350, 18325, 16647, 16604, 16582, 17394, 16397, 28331, 16417, 16390, 16466, 19059, 16674, 18373, 18379, 27389, 20943, 16395, 29363, 16604, 16582, 40172, 31150, 16395, 16674, 16641, 18898, 16673, 29363, 41358, 18373, 16397, 16411, 16398, 21240, 16413, 16582, 16696, 16696, 16696, 16411, 21240, 26170, 16412, 16385, 46366, 39729, 16385, 17367, 55809, 16412, 16385, 16401, 16399, 16400, 16407, 16396, 16399, 16406, 16396, 16604, 16582, 16401, 16399, 16435, 16399, 16408, 16409, 16401, 16399, 16409, 16400, 16400, 16385, 16413, 16417, 22777, 39685, 16409, 17544, 16647, 17567, 18355, 20982, 16604, 16402, 16400, 18810, 16604, 16401, 16399, 16400, 16407, 16395, 36052, 19634, 33979, 16604, 16582, 16938, 16450, 16604, 16391, 56360, 25210, 16392, 17654, 20638, 19800, 16604, 16400, 16399, 16388, 16671, 16604, 16387, 16406, 16397, 16403, 16405, 16417, 16397, 19847, 17654, 20638, 16604, 16582, 24601, 23009, 19260, 25610, 19800, 16604, 16400, 16400, 16388, 16671, 16604, 16387, 16406, 16397, 16401, 16408, 16417, 16397, 16650, 24555, 20638, 26524, 16671, 16604, 16582, 26674, 64131, 27364, 16604, 16400, 16388, 16671, 16604, 16387, 16402, 16397, 16399, 16408, 16417, 16397, 19847, 17654, 20638, 17135, 23009, 16604, 16582, 29942, 25610, 29675, 22852, 24653, 19031, 16673, 16604, 16401, 16401, 16388, 16671, 16604, 16387, 16402, 16397, 16407, 16405, 16417, 16395, 19847, 26549, 16604, 16582, 57614, 16395, 30308, 16604, 16396, 16388, 19031, 16673, 16604, 16401, 16388, 16671, 16604, 16400, 16397, 16405, 16406, 16388, 16395, 19847, 26549, 61825, 16397, 16411, 16398, 21240, 16413, 16582, 16696, 16411, 16398, 21240, 22407, 16413, 16582, 16696, 16411, 40882, 22407, 17367, 43473, 16412, 16385, 16401, 16399, 16400, 16407, 16396, 16399, 16406, 16396, 16401, 16399, 16435, 16399, 16408, 16409, 16401, 16399, 16409, 16401, 16405, 16385, 16413, 16582, 16696, 16696, 16696, 16411, 40738, 27711, 18089, 16412, 16385, 16400, 16385, 16413, 16407, 20242, 27186, 16411, 16398, 40738, 27711, 16413, 16582, 16696, 16696, 16696, 16411, 40738, 27711, 18089, 16412, 16385, 16401, 16385, 16413, 16411, 16398, 40738, 27711, 16413, 16582, 16696, 16696, 16696, 16411, 40738, 27711, 18089, 16412, 16385, 16402, 16385, 16413, 16411, 16398, 40738, 27711, 16413, 16582, 16696, 16696, 16696, 16411, 31666, 16413, 16427, 57566, 16411, 16398, 31666, 16413, 16582, 16696, 16696, 16696, 16411, 20258, 16396, 32717, 16413, 16411, 16398, 20258, 16396, 32717, 16413, 16582, 16696, 16696, 16696, 16411, 21428, 16666, 22647, 16413, 16420, 16400, 16403, 16604, 16404, 62068, 16411, 16398, 21428, 16666, 22647, 16413, 16582, 16696, 16696, 16696, 16411, 33700, 19484, 16412, 16385, 22588, 16433, 16385, 16413, 32384, 24687, 16411, 16398, 33700, 16413, 16582, 16696, 16696, 16696, 16411, 40882, 18679, 16413, 16411, 16398, 40882, 18679, 16413, 16582, 16696, 16696, 16696, 16411, 40882, 23399, 16413, 16411, 16398, 40882, 23399, 16413, 16582, 16696, 16696, 16696, 16411, 21784, 16413, 16582, 16696, 16696, 16696, 16696, 16696, 16411, 21784, 18383, 16412, 16385, 25851, 21784, 16385, 16413, 16582, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16411, 33700, 23994, 22647, 16413, 16403, 16403, 16411, 16398, 33700, 23994, 22647, 16413, 16582, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16411, 31666, 16396, 16953, 16861, 17197, 16413, 16401, 16399, 16411, 16398, 31666, 16396, 16953, 16861, 17197, 16413, 16582 ]
[ 0, 16385, 24979, 51423, 16395, 19941, 51423, 37137, 16671, 32881, 17178, 16384, 16385, 16604, 16385, 55211, 27219, 16709, 16384, 16385, 16604, 16385, 23915, 16868, 16703, 17718, 16414, 16385, 16604, 16385, 21539, 35324, 17572, 28539, 16385, 16604, 16385, 17894, 17435, 16384, 16385, 16604, 16385, 17611, 65330, 16888, 27010, 16395, 16674, 44971, 17090, 16905, 16756, 16385, 16604, 16385, 18105, 16390, 16466, 16721, 16414, 16385, 16604, 16385, 19068, 21801, 16385, 16604, 16385, 21539, 18659, 16395, 16742, 16843, 16829, 56870, 54253, 16742, 16843, 17097, 17391, 16385, 16604, 16385, 24979, 51423, 16395, 19941, 51423, 20520, 16671, 17572, 28539, 35324, 20629, 16384, 16385, 16604, 16385, 28261, 16395, 20586, 16955, 16671, 19220, 16850, 19220, 16912, 19906, 16395, 17348, 18526, 16647, 16703, 16934, 16385, 16604, 16385, 28261, 16395, 16687, 16763, 16804, 17811, 16891, 16647, 19889, 17679, 16604, 16397, 16397, 16397, 16385, 16604, 16385, 18129, 17178, 16687, 19339, 16912, 20139, 16647, 19906, 16704, 16721, 16728, 16704, 16732, 16385, 16604, 16385, 16424, 16384, 16385, 16604, 16385, 17822, 16465, 54253, 16395, 46722, 16721, 16704, 21089, 16604, 16397, 16397, 16397, 16385, 16604, 16385, 48898, 16661, 16641, 20915, 16395, 16674, 16687, 17027, 18453, 17299, 16903, 16741, 27086, 16385, 16604, 16385, 17071, 16647, 17719, 17897, 16604, 16397, 16397, 16397, 16385, 16604, 16385, 16424, 17335, 16742, 16769, 16804, 17719, 16850, 16980, 16742, 16769, 16667, 17719, 17585, 16385, 16604, 16385, 18473, 16687, 18453, 16732, 17659, 16604, 16397, 16397, 16397, 17135, 16858, 16711, 24327, 16704, 16641, 24327, 16385, 16604, 16385, 35808, 28131, 18266, 17031, 16604, 16385, 18001, 16843, 16804, 16854, 17616, 16385, 16385, 16604, 16385, 18105, 16704, 17203, 16715, 20761, 16395, 16850, 16728, 16763, 16641, 18697, 16733, 16955, 17366, 16641, 55232, 16734, 16968, 18659, 16604, 16397, 16397, 16397, 16385, 16604, 16385, 19231, 16647, 18702, 16673, 16604, 16400, 16401, 17202, 16671, 18053, 17014, 16991, 16673, 17007, 18964, 16728, 16397, 16385, 16604, 16385, 18473, 17348, 16687, 17045, 16395, 21226, 17285, 16887, 25344, 16395, 23261, 16672, 28146, 16385, 16604, 16385, 16416, 17617, 16732, 17208, 17039, 16804, 20048, 16671, 17911, 16397, 16385, 16604, 16385, 18473, 21991, 16721, 16641, 24327, 16704, 16641, 24327, 16604, 16397, 16397, 16397, 16385, 16604, 16385, 16424, 24494, 16641, 18216, 17386, 16671, 27582, 16397, 16385, 16604, 16385, 28261, 33433, 36280, 16671, 21812, 16414, 16385, 16604, 16385, 19659, 18120, 16395, 16687, 16390, 16460, 23260, 16604, 16397, 16397, 16397, 25209, 16721, 16390, 16466, 16715, 16848, 16397, 16385, 16604, 16385, 23913, 19571, 16395, 56870, 54253, 17602, 16986, 27266, 17616, 16414, 16385, 16604, 16385, 19494, 22245, 16384, 16385, 16604, 16385, 20505, 17158, 16767, 16912, 26050, 16395, 20915, 16397, 16385, 16604, 16385, 28261, 16395, 18168, 16809, 16647, 20022, 16674, 17796, 16673, 16732, 16397, 16385, 16604, 16385, 22621, 16384, 16385, 16604, 16385, 19930, 16804, 16854, 18046, 16647, 47853, 16785, 28601, 16385, 16604, 16385, 32749, 22490, 16385, 16604, 16385, 18129, 16980, 16811, 20915, 16704, 19893, 16687, 16868, 18977, 16807, 16721, 16891, 19110, 16397, 16385, 16604, 16385, 18867, 16961, 16703, 19407, 16397, 16385, 16604, 16385, 16385, 23852, 16704, 16647, 17685, 16414, 16385, 16604, 16385, 16424, 16807, 16397, 16385, 16604, 16385, 18105, 16687, 16843, 16804, 18360, 16728, 16872, 16671, 17047, 16859, 21969, 16414, 16385, 16604, 16385, 22279, 25072, 16395, 37707, 16674, 20104, 44200, 16397, 16385, 16604, 16385, 26999, 18876, 16687, 16829, 16804, 16945, 29607, 17578, 16397, 16385, 16604, 16385, 17822, 16465, 54253, 16390, 16466, 44200, 16769, 18530, 29607, 16397, 16385, 16604, 16385, 16687, 16843, 16804, 19339, 16384, 16385, 16604, 16385, 18793, 23970, 16384, 16385, 16604, 16385, 16687, 16843, 16804, 19339, 16384, 16385, 16604, 16385, 18793, 23970, 16384, 16385, 16604, 16385, 16687, 16843, 16804, 19339, 16384, 16385, 16604, 16385, 18793, 23970, 16384, 16385, 16604, 16385, 31596, 16604, 16397, 16397, 16397, 16385, 16604, 16385, 16424, 16390, 16460, 22516, 16671, 17134, 16732, 16397, 16385, 16604, 16385, 28261, 26999, 18876, 16395, 16732, 17158, 17369, 16397, 16385, 16604, 16385, 17674, 16769, 16732, 16414, 16385, 16604, 16385, 19845, 16384, 16385, 16604, 16385, 24489, 16384, 16385, 16604, 16385, 18111, 16732, 16395, 21551, 16384, 16385, 16604, 16385, 22621, 16715, 18767, 16397, 16385, 16604, 16385, 27064, 18064, 18153, 16397, 16385, 16604, 16385, 46940, 18056, 16384, 16385, 16604, 16385, 17674, 16829, 16732, 19830, 16414, 16385, 16604, 16385, 28772, 26999, 18876, 16385, 16604, 16385, 34276, 16671, 17134, 16732, 16397, 16385, 16604, 16385, 20119, 18056, 16384, 16385, 16604, 16385, 24489, 16384, 16385, 16604, 16385, 21551, 16767, 16912, 37958, 16384, 16385, 16604, 16385, 48269, 24859, 18933, 16384, 16385, 16604, 16385, 24489, 16384, 16385, 16604, 16385, 19084, 16395, 16732, 17158, 17203, 16384, 16385, 16604, 16385, 21516, 16395, 16687, 16390, 16460, 16641, 18445, 24048, 16385, 16604, 16385, 34276, 16671, 17134, 16732, 38631, 16472, 16385, 16604, 16385, 16999, 16390, 16466, 16992, 16641, 17301, 17005, 16385, 16604, 16385, 21010, 30673, 20502, 16397, 16385, 16604, 16385, 19845, 16395, 16647, 21911, 19678, 16397, 16385, 16604, 16385, 16999, 19175, 20001, 16945, 17014, 16732, 20232, 17348, 16397, 16385, 16604, 16385, 18001, 17039, 17016, 16873, 17335, 16395, 20970, 19082, 16945, 20803, 16397, 16385, 16604, 16385, 18105, 16687, 18930, 16732, 16641, 20065, 16414, 16385, 16604, 16385, 17548, 58026, 16961, 16703, 19407, 16397, 16385, 16604, 16385, 17673, 16687, 17652, 16397, 16385, 16604, 16385, 17507, 16829, 16804, 16807, 17213, 65318, 18061, 16767, 17616, 16397, 16385, 16604, 16385, 21539, 17016, 16704, 17262, 16397, 16385, 16604, 16385, 19089, 16646, 16395, 24570, 16397, 16385, 16604, 16385, 32449, 16397, 16385, 16604, 16385, 32449, 16397, 16385, 16604, 16385, 33061, 16397, 16385, 16604, 16385, 22919, 16672, 16641, 17711, 16397, 16385, 16604, 16385, 16424, 16763, 18183, 16715, 16917, 16673, 17213, 16397, 16385, 16604, 16385, 16687, 16843, 16804, 18360, 16721, 16732, 16390, 16690, 35378, 16397, 16385, 16604, 16385, 54138, 18612, 16671, 20105, 16728, 17915, 16674, 17231, 16647, 21135, 16397, 16385, 16604, 16385, 17426, 16732, 17652, 16397, 16385, 16604, 16385, 17403, 17120, 16804, 21665, 16395, 17204, 16804, 21583, 16397, 16385, 16604, 16385, 17409, 31728, 16671, 16858, 16397, 16385, 16604, 16385, 16424, 17045, 16859, 27405, 16732, 18112, 16397, 16385, 16604, 16385, 19930, 16804, 22069, 16687, 17133, 56870, 54253, 16868, 16703, 16641, 17369, 19082, 16395, 16641, 17687, 21377, 16674, 33617, 16385, 16604, 16385, 18129, 16809, 16647, 26710, 16673, 18056, 16395, 16647, 20367, 17874, 22439, 32224, 37403, 16397, 16385, 16604, 16385, 18111, 16980, 16804, 16395, 16728, 16704, 22595, 16397, 16385, 16604, 16385, 16424, 16843, 16804, 18360, 16873, 17924, 16641, 20915, 56870, 54253, 16687, 17477, 16859, 17719, 16397, 16385, 16604, 16385, 19315, 16811, 59440, 16848, 20915, 46722, 16873, 16769, 31731, 16385, 16604, 16385, 18111, 37987, 17536, 19410, 18909, 16395, 16917, 16704, 37460, 16395, 16647, 32843, 18199, 16907, 17477, 16721, 17210, 16397, 16385, 16604, 16385, 17170, 22706, 16384, 16385, 16604, 16385, 17426, 16732, 16807, 16641, 20915, 17097, 28782, 27602, 16647, 42080, 23093, 16397, 16385, 16604, 16385, 25368, 16745, 20326, 16384, 16385, 16604, 16385, 17887, 16769, 16732, 18055, 17178, 20586, 16414, 16385, 16604, 16385, 16875, 17653, 16397, 16385, 16604, 16385, 17991, 16732, 17704, 16848, 16395, 16732, 17208, 19666, 17536, 16721, 17047, 16843, 28517, 16385, 16604, 16385, 16424, 16807, 16804, 23999, 16998, 16673, 16647, 17578, 16732, 19184, 16931, 39000, 16397, 16385, 16604, 16385, 16385, 16424, 16843, 17391, 16721, 16741, 16641, 33707, 16414, 16385, 16604, 16385, 18571, 16931, 16641, 29034, 20318, 16741, 54841, 16604, 16385, 23810, 16414, 16385, 16604, 16385, 19276, 17324, 20614, 17072, 16671, 17754, 16647, 26056, 16397, 16385, 16604, 16385, 30475, 18876, 16704, 18159, 16395, 16647, 19287, 16647, 16922, 19331, 16769, 19425, 16397, 16385, 16604, 16385, 18001, 17039, 17536, 16414, 16385, 16604, 16385, 16424, 16961, 16945, 16671, 17134, 17007, 16922, 18143, 16397, 16385, 16604, 16385, 18105, 19668, 16414, 16385, 16604, 16385, 16400, 16399, 17202, 18469, 16929, 17132, 16804, 17911, 16397, 16385, 16604, 16385, 18260, 16804, 29630, 16397, 16385, 16604, 16385, 16687, 16390, 16460, 22331, 16397, 16385, 16604, 16385, 30475, 18876, 16872, 23461, 16671, 16703, 17274, 16604, 16397, 16397, 16397, 16385, 16604, 16385, 56009, 16384, 16385, 16604, 16385, 44436, 16672, 22396, 16734, 16968, 28743, 16850, 16704, 19732, 16397, 16385, 16604, 16385, 17991, 16687, 17045, 19732, 16397, 16385, 16604, 16385, 18377, 16807, 16992, 16604, 16403, 21431, 43000, 16604, 16397, 16397, 16397, 16385, 16604, 16385, 50938, 16872, 21443, 16641, 18502, 16673, 17334, 16905, 28625, 22144, 16604, 16397, 16397, 16397, 16385, 16604, 16385, 19659, 23222, 18908, 16397, 16385, 16604, 16385, 16999, 16390, 16466, 19510, 16397, 16385, 16604, 16385, 20253, 17587, 16395, 16687, 16807, 16992, 21555, 16604, 16402, 18032, 16397, 16385, 16604, 16385, 16853, 17092, 16763, 17835, 17074, 16665, 16397, 16385, 16604, 16385, 23531, 16414, 16385, 16604, 16385, 18001, 17133, 18531, 16704, 22490, 16395, 16980, 16687, 17208, 17704, 30985, 16397, 16385, 16604, 16385, 26453, 16728, 16390, 16466, 18159, 16397, 16385, 16604, 16385, 22508, 23171, 53483, 16763, 16804, 16647, 17617, 23338, 16687, 17039, 16604, 16397, 16397, 16397, 16385, 16604, 16385, 17071, 17551, 16647, 17154, 18545, 19225, 16673, 18554, 17329, 16673, 65160, 16395, 16763, 62091, 16397, 16385, 16604, 16385, 18111, 16672, 16647, 17897, 17329, 45272, 16674, 32931, 16395, 16742, 16671, 17158, 16741, 21780, 16397, 16385, 16604, 16385, 16853, 19979, 16673, 16604, 16400, 16408, 16406, 16399, 19361, 16945, 16998, 16977, 19979, 17613, 16763, 16891, 16604, 16397, 16397, 16397, 16385, 16604, 16385, 18111, 16742, 16955, 16604, 16402, 18355, 16673, 62091, 16395, 16850, 16721, 16987, 16763, 16804, 18010, 22248, 16395, 18612, 28218, 16604, 16397, 16397, 16397, 16385, 16604, 16385, 30772, 17617, 16395, 16859, 16742, 19728, 16671, 18367, 16641, 21703, 18287, 16604, 16397, 16397, 16397, 16385, 16604, 16385, 18111, 16647, 19514, 16715, 18065, 18048, 16763, 16647, 19708, 16673, 16647, 19979, 16397, 16385, 16604, 16385, 16853, 16604, 16403, 21611, 16672, 16641, 20104, 17009, 23546, 16604, 16397, 16397, 16397, 16385, 16604, 16385, 40799, 16641, 23120, 18205, 16674, 19789, 16604, 16397, 16397, 16397, 16385, 16604, 16385, 18811, 18531, 18112, 17141, 16674, 16647, 17719, 17578, 18167, 16397, 16385, 16604, 16385, 16687, 16390, 16460, 25081, 16673, 16811, 16687, 16829, 16804, 21573, 22847, 16397, 16385, 16604, 16385, 17403, 16604, 16397, 16397, 16397, 16385, 16604, 16385, 17403, 17016, 16414, 16385, 16604, 16385, 18627, 16460, 17285, 19600, 16397, 16385, 16604, 16385, 16424, 16390, 16460, 25081, 16673, 19699, 16931, 17213, 17578, 17674, 17259, 18032, 16742, 16390, 16683, 16807, 16811, 22094, 16414, 16385, 16604, 16385, 22164, 21264, 16704, 17961, 22736, 19907, 16804, 17590, 16671, 19625, 16728, 16414, 16385, 16604, 16385, 17119, 16807, 19530, 17441, 16395, 16704, 30968, 16397, 16385, 16604, 16385, 21386, 16980, 16732, 20522, 16922, 17005, 16767, 17616, 16397, 16385, 16604, 16385, 19084, 16384, 16385, 16604, 16385, 43194, 17887, 16715, 16414, 16385, 16604, 16385, 30572, 17348, 16385, 16604, 16385, 18971, 19326, 16955, 16992, 22428, 17608, 16687, 16807, 20693, 16395, 16687, 17579, 36328, 16385, 16604, 16385, 17409, 16763, 18040, 16647, 23581, 16395, 16728, 16763, 16859, 23042, 16811, 34133, 16397, 16385, 16604, 16385, 19084, 18798, 17016, 16687, 16829, 16704, 16969, 22794, 16397, 16385, 16604, 16385, 43020, 23124, 16704, 21306, 16395, 41860, 16385, 16604, 16385, 30475, 18876, 22517, 16903, 16734, 16888, 19409, 16604, 16402, 20985, 26117, 16888, 19082, 20046, 17014, 17049, 16763, 16604, 16403, 17202, 17719, 16385, 16604, 16385, 18867, 16390, 16466, 16888, 20488, 16395, 17579, 22485, 17616, 17714, 16728, 16397, 16385, 16604, 16385, 16435, 17713, 16395, 28862, 16907, 16395, 17132, 16732, 17477, 16767, 16647, 19168, 18943, 16873, 19324, 16732, 16958, 23461, 16414, 16385, 16604, 16385, 21539, 16687, 16843, 17097, 17335, 16721, 16687, 16390, 16690, 45540, 16673, 16811, 17386, 16650, 16687, 16390, 16690, 45540, 16673, 16811, 17386, 17608, 16687, 16807, 20693, 16385, 16604, 16385, 34520, 17136, 16667, 23339, 22308, 16767, 17274, 16641, 18198, 18702, 16704, 16667, 24556, 29247, 16397, 16385, 16604, 16385, 23852, 16868, 16732, 16854, 16815, 17348, 16414, 16385, 16604, 16385, 21754, 52030, 16763, 16667, 17097, 17486, 16395, 16888, 19326, 22923, 24154, 16734, 16968, 16958, 17579, 16385, 16604, 16385, 19537, 16958, 39350, 26591, 16674, 54098, 16897, 17533, 16397, 16385, 16604, 16385, 16408, 16401, 16395, 16604, 16408, 16402, 16395, 16604, 16408, 16403, 16395, 16604, 16408, 16404, 16395, 16604, 16408, 16405, 16395, 16604, 16408, 16406, 16395, 16604, 16408, 16407, 16604, 16397, 16397, 16397, 16385, 16604, 16385, 17822, 16465, 54253, 16395, 25209, 22331, 55874, 16604, 16385, 16424, 16843, 16854, 16414, 16385, 16604, 16385, 34049, 16384, 16385, 16604, 16385, 21519, 21756, 16811, 20803, 16395, 16647, 48952, 18222, 56799, 16385, 16604, 16385, 21519, 25209, 16395, 21900, 16903, 16674, 17285, 23740, 16414, 16385, 16604, 16385, 17822, 16465, 54253, 17039, 16604, 16397, 16397, 16397, 16385, 16604, 16385, 16424, 17796, 16604, 16397, 16397, 16397, 17016, 16687, 18995, 16385, 16604, 16385, 16385, 24553, 18706, 16414, 16385, 16604, 16385, 17991, 16732, 17652, 16395, 16732, 20986, 16674, 16887, 18176, 16704, 27703, 16671, 17335, 41938, 19277, 16384, 16385, 16604, 16385, 16424, 19273, 16859, 16385, 16604, 16385, 31669, 25966, 16385, 16604, 16385, 31057, 16395, 23740, 16395, 16687, 17133, 16732, 16390, 16644, 17441, 18198, 16671, 16703, 24608, 16385, 16604, 16385, 18129, 16912, 18659, 16868, 17921, 24166, 16687, 17133, 16687, 16390, 16683, 17882, 16732, 16647, 23528, 16397, 16385, 16604, 16385, 17635, 16868, 16703, 16641, 22239, 16671, 16732, 16850, 16604, 16397, 16397, 16397, 16385, 16604, 16385, 17635, 16704, 16641, 29631, 16604, 16397, 16397 ]
[ 0, 18313, 18675, 16671, 16647, 18734, 18597, 16395, 38137, 16811, 18675, 16672, 19624, 16395, 28872, 16785, 19730, 18313, 64231, 16647, 18734, 18597, 16395, 38137, 16811, 33743, 16672, 19289, 18313, 18675, 16671, 16811, 19242, 16395, 38137, 16811, 18675, 16672, 19624, 16395, 28872, 16785, 19730, 18313, 64231, 16811, 19242, 16395, 38137, 16811, 33743, 16672, 19289, 16582, 16582, 16431, 16397, 16433, 16397, 43201, 22778, 27583, 17999, 23734, 63764, 54742, 21061, 25591, 16582, 32590, 17002, 58512, 49537, 16604, 19631, 16604, 16403, 16400, 16400, 16400, 16395, 33950, 16397, 16604, 16401, 16401, 16406, 23763, 16604, 16396, 22063, 48193, 16638, 16604, 16403, 16406, 16406, 16405, 16582, 16434, 57629, 39168, 16582, 41675, 40351, 16437, 27101, 16582, 64771, 21520, 49987, 21367, 16582, 22082, 16430, 16425, 18013, 16582, 32384, 21328, 18671, 45058, 19221, 21082, 16582, 38669, 22549, 16395, 20058, 16395, 19582, 16395, 17907, 16604, 16401, 16400, 16395, 16604, 16400, 16407, 16402, 16406, 16582, 25351, 16604, 16400, 16403, 16400, 16582, 16467, 20450, 17999, 34739, 16582, 28944, 16582, 28916, 16582, 45215, 23359, 26949, 16679, 16672, 36471, 21048, 16659, 17999, 20245, 17173, 16452, 22995, 27134, 16672, 16738, 17063, 16835, 16410, 16582, 28768, 16397, 19695, 41027, 23555, 16699, 18724, 18477, 16870, 16582, 17071, 24702, 16673, 25514, 26479, 29247, 16395, 16792, 16648, 16655, 16397, 18095, 16868, 23456, 16604, 16402, 16401, 30031, 17619, 25953, 17186, 16811, 16908, 16467, 17136, 16767, 16641, 18321, 26724, 16672, 16738, 17063, 16835, 60701, 17014, 21541, 38493, 17386, 16704, 21852, 16709, 23615, 16397, 16582, 45215, 23359, 18319, 16868, 17121, 16914, 22458, 65302, 16674, 19471, 16582, 16417, 17063, 16835, 16672, 17650, 17625, 17510, 19116, 16482, 16396, 17205, 16397, 16397, 16397, 16397, 16397, 16397, 16397, 16582, 31906, 16949, 18981, 42830, 16395, 16767, 16647, 16604, 19631, 16687, 17226, 16582, 23555, 18083, 17602, 17360, 16582, 16427, 16457, 18332, 16673, 16647, 17840, 16395, 21846, 16647, 16764, 16396, 22716, 29287, 16397, 16582, 16454, 16395, 16457, 16411, 16665, 16875, 16647, 18801, 31649, 16673, 18793, 16396, 25192, 18349, 16459, 16768, 16397, 16922, 17032, 16604, 16403, 16399, 16399, 18095, 16868, 21691, 16741, 16647, 18078, 16396, 16467, 16435, 41965, 20502, 16674, 17391, 16914, 21447, 16672, 16641, 18321, 19648, 16673, 16647, 36643, 17974, 16768, 16397, 16582, 16430, 21520, 16397, 22734, 16702, 19207, 16582, 22212, 61662, 16730, 16604, 16402, 16397, 19695, 41027, 23555, 16699, 16868, 17776, 17030, 17226, 16643, 17632, 16395, 16944, 16868, 16824, 16734, 17567, 20246, 16809, 16647, 16604, 16442, 17085, 16780, 27115, 41994, 16397, 18419, 20863, 16397, 18157, 16947, 38764, 16395, 16647, 41994, 16868, 16582, 16426, 16397, 25731, 16682, 16856, 22295, 17949, 16395, 22367, 16642, 16396, 16683, 16470, 21871, 16395, 22039, 22608, 16685, 17159, 54094, 16393, 16671, 16703, 32725, 16767, 16647, 16681, 42063, 18726, 16465, 16393, 16455, 17232, 26724, 16868, 16804, 22199, 19501, 16674, 16695, 41972, 16397, 34265, 17420, 16396, 40088, 16792, 16747, 17556, 16767, 16687, 16643, 20742, 16673, 16727, 16384, 16652, 20168, 16604, 18726, 16467, 16604, 16408, 16409, 16404, 16399, 16641, 16397, 16460, 16397, 16685, 16658, 16647, 18078, 16396, 16724, 16435, 21701, 16397, 16582, 16417, 17431, 21894, 16604, 16385, 16423, 42559, 16671, 64860, 16397, 16385, 17073, 16673, 16647, 28732, 16385, 16604, 16390, 41530, 30020, 16674, 16921, 16459, 17392, 16390, 16466, 16604, 16894, 21519, 17933, 16395, 18157, 16397, 16900, 18958, 16397, 19695, 41027, 23555, 16699, 16868, 17177, 17190, 30232, 17070, 16459, 17284, 16674, 24702, 16911, 16396, 16397, 17135, 16944, 16733, 16868, 26551, 32836, 22343, 17096, 16448, 16425, 17987, 16395, 20863, 16397, 22146, 17226, 16646, 30478, 16395, 19337, 19154, 16673, 24051, 16799, 16397, 53103, 22864, 16604, 18853, 30549, 16397, 16582, 16435, 28203, 16434, 22580, 16719, 54788, 44750, 16582, 16456, 19154, 16673, 62604, 45196, 16908, 29111, 16395, 17827, 16658, 30478, 16868, 18751, 17310, 16728, 16467, 16806, 16940, 16709, 16604, 16385, 26197, 19992, 19232, 16674, 23416, 16673, 18295, 19331, 16709, 16702, 17258, 23824, 16395, 16647, 27009, 16704, 16832, 16396, 21230, 16715, 16888, 18147, 16985, 23824, 22262, 16395, 16674, 16767, 16647, 17290, 16870, 17602, 51303, 16672, 19616, 16767, 48193, 16638, 16926, 16448, 21054, 16673, 22519, 16395, 16822, 18074, 17202, 16667, 16858, 16396, 17093, 32454, 16397, 16582, 16467, 21159, 16671, 40614, 16743, 16466, 31593, 16703, 39196, 16671, 16647, 19571, 16741, 16396, 33015, 19784, 30752, 18319, 16673, 16647, 19001, 23456, 16396, 16393, 16400, 16400, 16400, 16703, 56918, 16767, 16647, 16741, 16396, 16582, 62598, 23797, 16582, 31304, 24598, 31028, 16799, 18991, 17544, 16875, 17976, 16453, 17725, 17458, 17164, 20292, 35070, 17978, 16582, 33501, 19174, 18083, 16395, 30293, 28244, 31182, 16674, 19154, 16396, 16673, 48856, 62604, 16799, 28183, 18237, 60630, 16395, 16763, 49699, 24336, 19279, 16673, 16647, 20619, 20544, 35947, 23918, 16715, 16604, 16400, 16408, 16402, 16406, 17367, 18097, 17560, 16647, 23918, 16390, 16466, 19547, 16767, 16647, 62604, 16908, 29111, 65063, 18287, 16397, 16582, 23680, 25222, 18102, 21578, 16741, 22345, 16715, 16647, 18767, 16987, 16958, 16738, 19477, 26462, 16395, 17565, 19866, 45196, 65260, 16397, 25304, 16396, 44837, 16410, 19178, 17986, 27115, 16397, 65260, 16799, 28183, 62604, 16395, 28573, 16410, 16674, 22752, 23835, 29861, 16396, 16458, 24352, 16395, 62604, 16908, 29111, 65260, 16395, 64649, 16397, 22752, 19163, 16780, 16395, 47622, 19279, 16395, 21813, 16397, 16466, 20905, 16641, 18474, 16741, 16641, 28729, 16673, 56735, 16809, 16647, 23918, 16390, 16466, 18319, 16397, 16582, 17894, 16641, 35317, 16671, 16641, 16987, 16673, 17361, 20544, 40311, 16798, 21667, 16640, 16461, 16647, 18676, 16673, 21505, 16395, 19984, 16958, 20085, 16715, 16641, 24661, 16604, 16385, 16417, 39257, 41992, 16385, 16671, 16703, 17535, 20265, 18097, 16395, 18850, 16604, 16400, 16397, 16711, 17562, 16673, 17910, 18102, 16815, 17492, 25222, 18287, 16868, 26749, 16672, 16647, 20173, 16395, 16671, 16703, 18939, 17030, 16641, 16917, 16674, 16917, 16396, 32258, 26283, 18067, 16397, 16582, 17071, 16667, 18900, 16671, 19077, 16647, 23918, 16390, 16466, 17875, 31252, 16395, 16641, 23140, 34889, 16673, 26462, 16395, 22001, 51921, 16395, 20761, 18569, 17458, 20996, 16395, 17986, 27115, 16395, 16674, 23472, 16963, 18312, 19413, 16471, 16958, 25563, 16809, 19163, 16780, 16671, 53934, 16647, 16664, 46582, 16682, 19730, 17030, 16647, 19979, 18355, 16397, 16582, 35190, 61776, 25766, 23272, 25650, 18957, 36851, 16440, 49107, 36663, 21520, 48223, 16582, 16428, 19445, 16418, 20617, 16397, 18312, 18672, 16395, 17907, 16604, 16401, 16400, 17205, 16430, 16425, 16397, 16419, 16604, 17205, 16853, 17995, 18120, 59906, 17073, 19786, 17647, 16604, 16385, 16435, 46066, 19686, 17523, 16385, 16674, 59798, 18211, 16647, 27460, 16673, 16604, 16403, 16403, 23936, 16767, 57476, 17080, 16745, 18788, 16395, 54499, 16915, 16395, 16715, 29593, 20695, 16671, 24256, 16400, 16903, 16647, 17333, 16396, 16434, 19842, 17060, 40097, 16672, 16641, 22587, 22718, 16397, 16582, 19701, 27888, 16958, 21946, 16671, 33182, 18184, 16647, 16604, 16405, 16399, 16399, 16399, 16396, 36109, 17009, 20639, 18178, 18967, 40097, 16671, 19031, 49140, 16641, 16750, 21714, 16604, 16385, 16435, 46066, 19686, 17523, 16900, 29593, 16672, 16647, 17839, 16673, 22587, 20691, 18224, 19117, 16397, 16582, 33482, 16716, 16964, 16673, 30046, 63612, 16685, 16461, 21993, 26212, 16395, 22130, 16672, 16647, 17995, 17840, 16395, 16739, 24646, 19060, 16395, 16958, 20017, 16665, 16903, 16397, 16582, 16853, 31054, 20790, 16671, 16647, 23985, 16395, 16944, 16763, 49635, 51998, 16672, 16641, 17009, 48032, 31747, 19994, 18123, 16672, 16647, 19531, 16673, 19107, 19224, 16674, 18858, 17870, 17110, 16668, 16908, 17774, 16456, 16799, 30857, 21121, 16724, 17063, 16395, 29090, 16671, 29670, 16647, 23384, 16673, 65500, 18493, 31089, 23985, 22345, 16397, 16582, 17094, 48286, 16687, 41068, 16767, 24840, 63148, 20984, 22234, 16582, 16445, 16390, 33543, 16397, 16778, 16687, 17907, 16604, 16401, 16399, 17205, 16467, 16436, 16397, 31164, 17205, 16582, 16399, 16727, 16702, 16754, 20110, 16390, 16466, 37846, 48286, 16687, 16395, 16582, 16393, 16467, 16393, 17348, 16641, 16397, 16466, 16641, 18230, 19829, 16396, 16393, 17347, 18924, 16390, 16466, 22427, 16712, 17352, 27561, 16395, 16582, 18726, 63053, 16604, 16408, 16399, 16399, 20990, 17021, 17360, 16396, 16398, 17177, 16968, 26978, 17583, 60694, 16767, 33439, 16781, 16673, 16641, 16604, 16404, 16404, 16396, 36109, 16695, 17384, 16395, 16850, 25359, 35474, 24959, 16647, 16832, 16841, 16396, 16582, 16400, 16641, 17618, 16968, 17304, 30836, 16395, 18745, 21505, 17348, 18120, 16397, 16582, 16413, 20940, 16673, 16647, 55136, 16904, 16395, 19812, 17226, 16687, 16604, 16393, 46070, 17456, 22321, 16965, 25227, 16395, 18527, 16396, 16427, 21088, 20968, 16673, 16647, 19079, 16644, 16397, 16466, 16396, 16438, 16465, 17388, 16767, 36540, 17187, 37846, 16448, 16396, 16397, 16944, 22841, 17131, 26978, 16704, 26268, 16903, 16397, 16582, 16397, 16751, 49682, 16644, 44353, 16397, 18723, 16947, 16396, 16894, 16647, 19079, 19854, 18700, 24814, 16395, 17031, 16762, 16453, 16704, 61583, 30283, 16604, 16475, 16582, 16427, 16693, 18456, 17792, 16397, 16900, 16824, 16790, 59490, 45023, 16397, 16604, 16400, 16400, 16400, 16397, 16395, 17907, 16604, 16401, 16399, 17205, 16604, 16391, 16424, 16390, 16397, 16433, 16456, 17205, 16582, 16461, 16395, 16604, 16414, 16397, 36451, 16945, 37846, 48286, 16604, 16390, 28092, 20531, 24224, 46199, 19361, 16641, 17920, 16396, 19671, 24450, 24605, 16641, 18519, 26283, 31450, 16672, 16647, 36515, 16673, 16647, 41611, 32275, 17766, 16767, 25681, 19976, 16397, 18046, 17348, 16397, 16582, 16853, 46199, 16395, 18319, 16673, 16647, 48811, 18475, 16756, 16673, 18924, 16395, 18167, 16709, 24450, 17172, 16673, 16670, 16459, 17222, 16649, 21894, 16453, 18574, 17030, 24130, 16673, 16985, 16641, 24450, 20769, 17031, 16685, 16461, 16641, 27825, 22094, 16815, 16647, 21583, 36515, 16397, 16582, 16853, 46199, 19416, 17285, 16741, 16914, 23247, 20982, 16767, 16604, 16406, 16664, 16397, 16460, 16397, 16582, 34264, 21906, 56713, 16395, 21583, 51318, 16395, 17031, 16647, 18102, 16955, 16604, 16385, 19355, 18188, 16671, 24450, 16397, 16385, 16582, 16417, 17676, 16827, 20956, 63764, 17602, 39554, 19139, 38952, 16582, 28520, 16390, 16466, 45666, 17602, 32028, 16665, 16809, 17267, 59419, 16875, 35886, 39879, 16582, 44108, 16397, 17907, 16604, 16401, 16399, 16604, 17205, 16391, 16436, 16397, 16433, 16393, 16446, 16582, 28520, 38952, 19129, 16641, 16604, 16387, 16402, 16395, 16401, 16399, 16399, 16395, 16399, 16399, 16399, 20578, 19080, 16672, 16647, 16604, 16385, 16463, 17293, 16396, 46533, 16881, 16900, 18287, 19164, 18120, 16850, 17660, 16667, 18994, 23277, 16875, 16647, 56058, 16671, 17190, 16647, 24545, 17060, 36042, 38679, 17205, 16888, 20476, 17009, 18335, 17913, 17205, 16448, 24942, 21912, 16397, 16582, 36636, 16733, 16955, 57979, 16671, 18287, 24678, 16691, 17100, 18714, 17647, 16888, 39898, 20578, 19786, 16395, 16809, 45250, 16671, 17564, 16641, 16604, 16387, 16401, 16404, 16395, 16399, 16399, 16399, 16395, 16399, 16399, 16399, 22997, 27133, 18123, 17632, 16715, 16647, 24030, 32770, 16811, 16987, 16397, 23121, 18667, 16397, 38952, 38514, 16647, 18583, 16733, 18200, 16604, 16403, 64657, 18469, 17014, 16733, 31175, 16721, 27133, 18123, 18421, 27638, 16703, 46484, 18015, 16647, 17718, 21768, 16673, 29817, 16397, 16582, 24977, 37218, 43219, 41418, 18359, 33124, 16582, 24346, 16647, 58284, 17230, 18287, 58970, 16462, 16665, 19984, 16673, 18667, 16397, 38952, 16674, 17073, 17304, 20588, 16964, 23140, 16671, 18286, 17356, 16709, 16647, 26643, 21648, 64396, 20443, 16395, 16986, 16958, 46894, 16721, 16647, 23979, 20987, 16961, 20752, 16802, 16647, 19279, 17653, 26207, 18344, 16715, 16604, 16387, 16400, 16395, 16404, 16399, 16399, 16395, 16399, 16399, 16399, 16395, 16399, 16399, 16399, 16671, 25285, 24485, 17560, 16647, 18767, 26540, 16987, 16397, 16772, 16985, 16396, 18701, 18608, 20443, 16763, 21568, 17329, 16647, 28694, 18120, 16734, 16641, 20705, 16809, 18203, 16397, 59287, 16711, 16397, 22480, 21645, 16397, 16759, 39831, 23293, 16395, 16721, 39494, 21478, 16756, 16769, 21880, 16903, 16647, 17985, 16673, 20478, 22903, 16671, 16647, 18992, 16654, 17406, 16397, 16582, 38868, 21645, 16397, 16929, 19684, 16641, 61207, 19080, 16672, 23140, 16671, 36172, 16647, 64396, 16604, 16387, 16404, 16399, 16399, 16395, 16399, 16399, 16399, 16395, 16399, 16399, 16399, 16672, 16647, 17654, 16673, 20578, 16395, 17031, 17658, 16803, 17587, 16721, 17274, 16641, 23789, 16961, 16804, 18288, 16604, 16385, 16448, 26456, 43469, 16715, 16647, 24485, 39494, 21478, 16756, 21880, 27708, 21396, 16647, 59381, 17205, 18060, 16641, 26456, 43469, 16715, 18237, 18815, 16785, 23353, 18815, 25717, 16397, 16900, 25588, 16431, 23004, 16440, 16738, 25675, 20325, 42477, 18327, 18525, 16582, 25493, 16809, 16647, 18287, 16685, 16461, 20209, 16647, 40672, 21268, 20443, 22051, 16604, 16387, 16401, 16395, 16399, 16405, 16399, 16395, 16399, 16399, 16399, 17030, 16811, 16987, 16390, 16466, 21172, 16395, 16604, 16387, 16402, 16395, 16401, 16399, 16399, 16395, 16399, 16399, 16399, 17030, 20882, 25500, 16395, 16674, 16604, 16387, 16406, 16395, 16407, 16399, 16399, 16395, 16399, 16399, 16399, 17030, 16647, 64396, 23140, 16390, 16466, 25674, 17132, 16804, 17298, 16677, 30487, 19224, 16397, 20735, 21268, 26752, 16807, 16992, 20493, 16674, 18630, 16671, 16647, 56058, 21712, 16715, 20588, 16964, 30169, 19057, 20882, 25500, 16397, 16582, 18129, 16647, 26643, 20443, 58907, 17274, 20399, 16396, 50817, 20183, 16741, 48880, 19091, 16395, 29786, 16395, 48987, 16395, 16674, 16691, 41051, 16985, 16944, 16395, 16672, 16647, 19052, 54744, 28824, 16395, 16854, 17131, 16647, 18723, 20071, 16673, 16604, 16385, 16463, 17293, 16397, 16385, 17544, 18185, 16395, 16647, 20588, 16964, 23140, 23925, 16604, 16387, 16406, 16395, 16401, 16403, 16400, 16395, 16404, 16399, 16399, 16715, 48880, 22903, 16671, 19619, 16397, 16772, 20882, 50246, 23925, 16604, 16387, 16403, 16395, 16401, 16403, 16400, 16395, 16404, 16399, 16399, 16674, 27837, 16721, 16671, 19031, 16811, 18636 ]
[ 0, 16400, 16397, 35453, 16604, 16474, 16386, 19810, 16400, 16396, 17057, 17555, 26553, 17220, 16396, 16400, 16399, 16396, 16399, 16399, 16399, 16401, 16400, 16476, 16582, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16582, 16582, 16853, 26840, 16673, 40723, 52263, 19134, 21348, 16604, 16391, 16437, 24902, 16421, 16392, 16604, 16443, 16442, 16442, 16415, 16417, 16400, 16396, 17057, 17555, 26553, 17220, 16396, 16400, 16399, 16396, 16399, 16399, 16399, 16401, 16400, 16444, 16395, 16442, 16415, 16417, 16401, 16396, 17057, 17555, 26553, 17220, 16396, 16400, 16399, 16396, 16399, 16399, 16399, 16401, 16400, 16444, 16443, 16444, 16674, 16647, 26230, 24702, 16673, 17073, 20927, 18814, 16672, 16647, 63028, 16673, 18295, 16816, 24208, 16779, 16467, 17667, 40723, 19527, 34992, 16647, 17154, 17889, 32430, 16672, 16653, 57774, 17595, 17030, 16647, 18074, 16604, 16402, 16399, 17202, 16397, 34695, 19591, 64620, 16647, 18356, 16673, 17490, 16864, 17063, 26937, 17873, 16674, 23776, 17260, 17520, 28395, 16672, 16647, 17142, 17154, 18545, 22556, 16673, 57761, 16672, 23295, 17521, 25276, 16396, 16396, 16396, 17022, 17063, 26937, 18702, 16396, 21670, 23776, 17260, 62557, 16604, 16391, 16461, 63595, 16392, 16674, 46433, 63733, 40061, 16604, 16391, 24087, 16392, 16396, 16396, 16396, 20110, 16647, 16903, 40309, 16673, 57556, 16421, 16604, 16443, 16442, 16442, 16415, 16417, 16402, 16396, 17057, 17555, 26553, 17220, 16396, 16400, 16399, 16396, 16399, 16399, 16399, 16401, 16400, 16444, 16443, 16444, 16397, 26713, 16395, 20062, 35998, 23976, 64620, 16734, 30300, 52929, 57556, 16421, 29879, 16395, 28065, 18065, 57556, 16421, 16641, 29783, 18821, 16715, 31624, 26536, 16397, 16582, 16582, 51719, 17135, 57556, 16421, 16763, 22603, 16674, 20441, 19939, 16395, 16647, 19378, 16673, 57659, 31184, 19361, 16604, 16443, 16442, 16442, 16415, 16417, 16403, 16396, 17057, 17555, 26553, 17220, 16396, 16400, 16399, 16396, 16399, 16399, 16399, 16401, 16400, 16444, 16443, 16444, 16397, 23121, 17963, 16395, 18514, 57556, 16421, 16396, 46520, 19310, 31184, 16604, 16391, 16801, 18517, 16849, 16657, 16949, 16395, 20881, 42588, 16445, 25175, 16445, 16395, 16738, 23823, 16717, 16604, 16389, 49350, 16395, 46463, 34663, 17105, 16395, 33721, 16395, 21119, 16410, 21781, 16949, 16886, 50574, 16395, 27002, 16682, 16656, 16445, 25175, 16445, 16395, 22226, 16682, 19742, 16395, 16702, 16397, 19512, 23800, 16395, 23279, 16395, 21119, 16398, 27208, 17042, 16395, 56845, 16395, 31562, 16410, 26232, 46688, 17289, 16395, 16799, 18416, 16448, 16445, 25175, 16445, 16395, 19142, 17216, 16645, 16395, 30895, 16881, 22493, 16395, 22420, 16395, 21119, 16410, 16752, 16885, 17289, 16395, 53837, 16978, 48437, 16455, 16882, 37910, 19859, 16395, 53837, 16978, 16395, 19391, 16410, 16674, 16703, 20401, 16845, 16473, 50574, 16395, 23624, 16851, 16642, 16445, 25175, 16445, 16395, 22226, 16682, 19742, 16395, 16702, 16397, 19512, 23800, 16395, 23279, 16395, 21119, 16398, 27208, 17042, 16395, 56845, 16395, 31562, 16392, 16807, 16992, 17405, 16671, 18233, 16653, 57774, 33928, 19527, 16395, 17891, 17097, 16647, 17092, 17567, 16807, 19151, 18303, 18644, 22943, 16674, 30428, 25185, 16604, 16391, 18763, 32022, 16392, 24606, 16715, 30300, 52929, 17231, 16397, 16875, 20423, 45414, 21760, 22595, 19294, 23159, 16734, 25288, 50346, 16604, 16391, 16642, 25828, 16734, 23444, 46816, 16392, 16850, 17154, 32001, 16868, 19443, 16671, 25929, 16647, 17005, 17415, 50346, 16741, 17240, 16741, 18230, 16734, 18422, 25288, 16604, 16393, 17491, 16691, 16686, 17180, 16393, 16604, 16391, 20714, 16429, 16392, 16785, 18233, 16674, 25929, 23575, 16604, 16443, 16442, 16442, 16415, 16417, 16404, 16396, 17057, 17555, 26553, 17220, 16396, 16400, 16399, 16396, 16399, 16399, 16399, 16401, 16400, 16444, 16443, 16444, 16397, 32450, 35677, 16715, 17259, 18873, 19108, 16703, 23447, 20371, 20545, 19105, 16604, 16443, 16442, 16442, 16415, 16417, 16405, 16396, 17057, 17555, 26553, 17220, 16396, 16400, 16399, 16396, 16399, 16399, 16399, 16401, 16400, 16444, 16443, 16444, 16395, 23526, 16672, 16641, 18122, 17585, 16673, 18873, 16929, 18616, 27827, 50346, 16715, 17301, 26251, 16673, 17005, 16397, 17170, 18122, 17679, 16673, 17371, 24646, 16654, 21760, 50346, 49826, 32001, 16674, 16914, 19337, 16466, 16395, 16674, 21532, 18873, 16390, 26344, 16397, 23466, 16395, 17009, 16395, 19287, 23519, 20381, 16396, 16437, 24902, 16421, 31607, 16674, 20632, 22667, 19258, 16769, 18964, 16671, 19077, 25178, 16395, 41209, 26344, 16395, 16674, 21033, 16647, 18804, 17985, 16673, 17534, 16397, 16582, 16582, 17635, 28736, 33746, 23447, 27329, 20381, 16396, 16437, 24902, 16421, 38094, 16721, 16807, 16992, 19193, 22204, 16395, 16741, 17204, 16741, 17310, 16721, 16769, 16672, 19001, 25652, 16673, 18356, 16397, 16582, 16582, 16401, 16397, 16965, 26937, 23138, 16701, 36190, 32014, 42610, 16604, 16391, 16437, 24902, 16421, 16392, 24757, 27842, 16674, 52007, 16847, 52053, 16604, 16474, 16386, 19810, 16401, 16396, 17057, 17555, 26553, 17220, 16396, 16400, 16399, 16396, 16399, 16399, 16399, 16401, 16400, 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, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16582, 16582, 16437, 24902, 16421, 16763, 22603, 31525, 16809, 17142, 18147, 19318, 16672, 16604, 16400, 16408, 16407, 16408, 16604, 16443, 16442, 16442, 16415, 16417, 16400, 16396, 17057, 17555, 26553, 17220, 16396, 16400, 16399, 16396, 16399, 16399, 16399, 16401, 16400, 16444, 16395, 16442, 16415, 16417, 16401, 16396, 17057, 17555, 26553, 17220, 16396, 16400, 16399, 16396, 16399, 16399, 16399, 16401, 16400, 16444, 16443, 16444, 16674, 17073, 17889, 18814, 16672, 17490, 18567, 16456, 33928, 55418, 35781, 16674, 54098, 16864, 17063, 26937, 17873, 16763, 22951, 18546, 20629, 16397, 57556, 16421, 16704, 18040, 16641, 17585, 16673, 31184, 16721, 56427, 16758, 17065, 20575, 24124, 19359, 20422, 16409, 57556, 16421, 16396, 16416, 16395, 57556, 16421, 16396, 16417, 16395, 57556, 16421, 16396, 16418, 16395, 57556, 16421, 16396, 16419, 16395, 57556, 16421, 16396, 16420, 16395, 57556, 16421, 16396, 16421, 16395, 16674, 46286, 19553, 19134, 21348, 16604, 16391, 19733, 29874, 16392, 16604, 16443, 16442, 16442, 16415, 16417, 16406, 16396, 17057, 17555, 26553, 17220, 16396, 16400, 16399, 16396, 16399, 16399, 16399, 16401, 16400, 16444, 16443, 16444, 16397, 22371, 16673, 16647, 20422, 16704, 29781, 16809, 18545, 16395, 20927, 26570, 29886, 16395, 16674, 17154, 20422, 21005, 19705, 52051, 34862, 16721, 18634, 18655, 26570, 21454, 16674, 26987, 21330, 16397, 16582, 16582, 16437, 24902, 16421, 16396, 16416, 33319, 16704, 16903, 38011, 16672, 19464, 16734, 16816, 24208, 16779, 16467, 17667, 40723, 19527, 16395, 17789, 16686, 63595, 16395, 46433, 23776, 17260, 17520, 28395, 16604, 16391, 16419, 24129, 16392, 16395, 16674, 61258, 40109, 58421, 20814, 16604, 16391, 16433, 42979, 16392, 16604, 16443, 16442, 16442, 16415, 16417, 16402, 16396, 17057, 17555, 26553, 17220, 16396, 16400, 16399, 16396, 16399, 16399, 16399, 16401, 16400, 16444, 16443, 16444, 16395, 16674, 16704, 22816, 16671, 17156, 16641, 20854, 18814, 16672, 16647, 18356, 16673, 17213, 19527, 16397, 30419, 16672, 37154, 20609, 17299, 16721, 57556, 16421, 16396, 16416, 35264, 16647, 19134, 16673, 56877, 47805, 16864, 17063, 26937, 46850, 16604, 16443, 16442, 16442, 16415, 16417, 16407, 16396, 17057, 17555, 26553, 17220, 16396, 16400, 16399, 16396, 16399, 16399, 16399, 16401, 16400, 16444, 16443, 16444, 16674, 28549, 61258, 40723, 40728, 16721, 46797, 29658, 16604, 16443, 16442, 16442, 16415, 16417, 16408, 16396, 17057, 17555, 26553, 17220, 16396, 16400, 16399, 16396, 16399, 16399, 16399, 16401, 16400, 16444, 16443, 16444, 16397, 40935, 23649, 16721, 57556, 16421, 16477, 16400, 16405, 16404, 16477, 17123, 16703, 16647, 17154, 18783, 31030, 20432, 52051, 17024, 17172, 16673, 17073, 17362, 24588, 29879, 16674, 16604, 16400, 16399, 16396, 29036, 38258, 21545, 16673, 19962, 17181, 17073, 24375, 16734, 16647, 17333, 24510, 51158, 17055, 16396, 16644, 48356, 24438, 16463, 59833, 16396, 16400, 16604, 16443, 16442, 16442, 16415, 16417, 16400, 16399, 16396, 17057, 17555, 26553, 17220, 16396, 16400, 16399, 16396, 16399, 16399, 16399, 16401, 16400, 16444, 16443, 16444, 16397, 20361, 57556, 16421, 57659, 31184, 19623, 16647, 32174, 26570, 19599, 16604, 16391, 50477, 32245, 16604, 16407, 16400, 16396, 16396, 16408, 16401, 16392, 16673, 57556, 16421, 16396, 16416, 52051, 34862, 16395, 25743, 16989, 18517, 16849, 16657, 16949, 59168, 16734, 16647, 16733, 17603, 16642, 26570, 19599, 16604, 16391, 50477, 32245, 16604, 16400, 16400, 16399, 16396, 16396, 16400, 16405, 16404, 16392, 16673, 57556, 16421, 16477, 16400, 16405, 16404, 16477, 16397, 20468, 23649, 16721, 57556, 16421, 16396, 16417, 16395, 57556, 16421, 16396, 16418, 16395, 57556, 16421, 16396, 16419, 16395, 16674, 17862, 29874, 17123, 17027, 24448, 16671, 19007, 33928, 16653, 38982, 55418, 35781, 16672, 23304, 16850, 16914, 20192, 25346, 16704, 16804, 18365, 16604, 16443, 16442, 16442, 16415, 16417, 16400, 16400, 16396, 17057, 17555, 26553, 17220, 16396, 16400, 16399, 16396, 16399, 16399, 16399, 16401, 16400, 16444, 16395, 16442, 16415, 16417, 16400, 16401, 16396, 17057, 17555, 26553, 17220, 16396, 16400, 16399, 16396, 16399, 16399, 16399, 16401, 16400, 16444, 16443, 16444, 16397, 16582, 16582, 40453, 17228, 57556, 16421, 33319, 16809, 40723, 52263, 19487, 16395, 18043, 16915, 16395, 16972, 18480, 20324, 16395, 58220, 19487, 16395, 61258, 58411, 32607, 16643, 44902, 16604, 16391, 16433, 23054, 16392, 19487, 16395, 16674, 59063, 42164, 34784, 16604, 16443, 16442, 16442, 16415, 16417, 16400, 16402, 16396, 17057, 17555, 26553, 17220, 16396, 16400, 16399, 16396, 16399, 16399, 16399, 16401, 16400, 16444, 16395, 16442, 16415, 16417, 16400, 16403, 16396, 17057, 17555, 26553, 17220, 16396, 16400, 16399, 16396, 16399, 16399, 16399, 16401, 16400, 16444, 16443, 16444, 18466, 16815, 24588, 53744, 16915, 16674, 33167, 16604, 16443, 16442, 16442, 16415, 16417, 16400, 16404, 16396, 17057, 17555, 26553, 17220, 16396, 16400, 16399, 16396, 16399, 16399, 16399, 16401, 16400, 16444, 16395, 16442, 16415, 16417, 16400, 16405, 16396, 17057, 17555, 26553, 17220, 16396, 16400, 16399, 16396, 16399, 16399, 16399, 16401, 16400, 16444, 16443, 16444, 16397, 45382, 19796, 16647, 61653, 16674, 56877, 17819, 20023, 16671, 19800, 57556, 16421, 29879, 16850, 16647, 20618, 25749, 16769, 61258, 16674, 56877, 47805, 40723, 52263, 19487, 16604, 16443, 16442, 16442, 16415, 16417, 16400, 16406, 16396, 17057, 17555, 26553, 17220, 16396, 16400, 16399, 16396, 16399, 16399, 16399, 16401, 16400, 16444, 16443, 16444, 16397, 16582, 16582, 16437, 24902, 16421, 16396, 16416, 16872, 16641, 18187, 18519, 16396, 21806, 16673, 16604, 16402, 16399, 17414, 16672, 16647, 20697, 16674, 33651, 16395, 16674, 17616, 16837, 17957, 29879, 16769, 20698, 18229, 16604, 16391, 36167, 19759, 16604, 16408, 27490, 16398, 38632, 16392, 16604, 16443, 16442, 16442, 16415, 16417, 16400, 16407, 16396, 17057, 17555, 26553, 17220, 16396, 16400, 16399, 16396, 16399, 16399, 16399, 16401, 16400, 16444, 16443, 16444, 16397, 19214, 37413, 19527, 19031, 33651, 57556, 16421, 29879, 16850, 16816, 24208, 16779, 16467, 17667, 40723, 19527, 21182, 38442, 57556, 16421, 16671, 20285, 18742, 17928, 33651, 19415, 16397, 16582, 16582, 16402, 16397, 31948, 32480, 16772, 18190, 16817, 16604, 16474, 16386, 19810, 16402, 16396, 17057, 17555, 26553, 17220, 16396, 16400, 16399, 16396, 16399, 16399, 16399, 16401, 16400, 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, 16582, 16582, 32523, 20381, 16396, 16437, 24902, 16421, 22163, 16807, 16992, 20140, 29890, 16715, 16653, 38982, 17231, 16785, 16395, 16672, 16647, 17843, 16673, 16703, 20401, 16845, 16473, 50574, 16395, 16769, 17405, 17021, 16396, 19974, 16715, 16816, 24208, 16779, 16467, 17667, 40723, 19527, 16397, 40991, 21903, 20126, 36541, 16673, 17213, 22163, 16604, 16391, 29219, 16715, 16989, 18517, 16849, 16657, 16949, 16392, 16769, 18655, 16674, 17891, 17918, 31349, 23467, 17476, 31289, 35677, 16604, 16391, 24863, 16697, 16785, 17155, 17142, 18355, 16392, 16647, 22383, 16672, 16914, 27329, 16673, 18865, 16769, 16709, 16647, 17970, 16673, 17097, 17897, 16397, 31948, 18125, 22163, 16395, 19193, 21431, 38094, 16395, 16674, 22163, 16674, 19258, 17131, 18356, 16769, 22682, 16672, 16604, 16442, 22224, 16604, 16400, 16444, 16391, 16386, 17057, 17555, 26553, 17220, 16396, 16400, 16399, 16396, 16399, 16399, 16399, 16401, 16400, 16396, 16467, 16399, 16399, 16400, 16392, 16474, 18452, 16396, 18926, 16412, 16385, 22246, 16385, 16476, 16397, 16582, 16582, 16402, 16397, 16400, 16397, 18718, 18517, 16849, 16657, 16949, 16604, 16474, 16386, 19810, 16402, 29200, 16400, 16396, 17057, 17555, 26553, 17220, 16396, 16400, 16399, 16396, 16399, 16399, 16399, 16401, 16400, 16476, 16582, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16582, 16582, 22113, 18517, 16849, 16657, 16949, 16604, 16391, 16460, 29495, 20007, 16604, 16391, 29564, 16392, 16673, 16604, 16404, 16399, 16822, 27786, 16392, 16395, 16667, 36197, 18948, 16671, 57556, 16421, 16395, 16763, 16647, 17092, 16653, 38982, 20632, 22782, 16715, 16647, 17371, 24646, 16654, 21760, 19165, 16673, 16864, 17063, 26937, 18702, 16396, 21670, 23776, 17260, 62557, 16604, 16391, 16461, 63595, 16392, 16397, 25613, 22067, 29087, 16721, 22565, 16405, 25895, 19165, 16734, 16989, 18517, 16849, 16657, 16949, 16961, 19077, 17514, 37514, 22065, 17263, 30838, 16604, 16391, 19634, 30786, 16392, 16850, 16672, 17154, 19464, 16728, 17097, 27364, 16647, 18960, 16673, 21936, 19260, 16809, 22051, 16917, 18519, 16604, 16443, 16442, 16442 ]
[ 0, 28471, 32043, 16672, 19546, 32714, 24571, 16674, 32983, 22667, 23477, 20776, 16647, 19629, 16673, 17154, 20470, 16734, 18383, 16604, 16400, 26600, 16671, 29647, 20449, 16674, 19834, 23925, 32714, 16674, 28215, 55786, 16711, 16477, 16400, 16450, 16477, 16604, 16391, 16423, 16449, 16416, 16477, 16400, 16450, 16477, 16392, 25749, 16397, 17227, 20572, 21830, 49365, 16718, 43858, 16604, 16391, 25688, 16392, 21002, 16641, 18545, 18194, 17717, 16673, 33701, 19165, 16674, 16641, 18166, 30564, 16671, 30808, 18824, 49365, 16718, 43858, 16672, 18383, 16604, 16400, 26600, 16397, 30419, 19421, 19831, 16807, 29054, 20671, 19970, 16734, 16667, 19800, 18813, 16673, 26247, 16397, 16875, 16641, 18077, 16673, 16604, 16400, 16395, 16400, 16408, 16399, 17968, 16674, 42753, 16734, 18383, 16604, 16400, 26600, 16395, 31617, 17605, 16813, 16397, 16604, 16391, 16442, 16415, 16417, 16400, 16444, 16392, 19074, 16721, 23425, 18702, 16395, 21966, 18706, 16395, 19287, 27329, 16673, 26600, 16395, 16674, 33701, 32983, 22595, 16604, 16391, 44438, 16482, 16402, 50346, 16398, 17093, 16392, 16958, 19970, 16734, 16667, 19800, 18813, 16673, 26247, 16397, 16875, 16641, 18077, 16673, 16604, 16405, 16399, 20470, 16395, 23693, 22710, 16395, 16734, 32983, 16396, 32435, 26600, 16395, 20889, 17605, 16813, 16397, 16604, 16391, 16442, 16415, 16417, 16401, 16444, 16392, 19074, 16721, 16647, 35233, 16673, 26247, 16763, 19970, 16734, 19421, 26247, 16395, 21830, 49365, 16718, 43858, 16819, 64192, 16395, 20985, 18702, 16395, 16674, 18251, 49185, 36002, 16397, 16875, 16647, 43222, 24775, 16674, 32566, 20271, 40773, 16604, 16391, 16419, 19573, 16435, 16392, 16604, 16391, 16442, 16415, 16417, 16402, 16444, 16392, 16395, 16667, 19335, 16673, 16647, 17092, 16604, 16403, 16401, 16403, 17371, 30768, 22140, 24454, 17494, 16721, 64024, 16673, 26247, 16672, 16647, 33701, 17585, 19618, 19421, 26247, 16395, 19287, 27329, 16673, 26600, 16395, 18846, 32320, 16751, 16449, 16416, 16477, 16400, 16450, 16477, 16395, 19251, 18961, 16751, 16449, 16416, 16477, 16400, 16450, 16477, 16395, 16674, 18846, 32320, 32983, 33174, 16397, 16711, 18242, 19335, 16673, 16858, 16604, 16400, 16395, 16403, 16403, 16400, 24454, 17494, 16721, 16641, 18846, 26247, 18960, 16672, 17490, 19165, 19318, 23619, 16672, 24454, 16734, 19421, 26247, 16395, 19287, 27329, 16673, 26600, 16395, 32157, 38925, 16719, 16396, 65415, 52314, 16395, 23425, 18702, 16604, 16391, 16705, 21046, 16450, 16988, 19739, 16734, 22710, 16392, 16395, 16674, 18846, 32320, 32983, 33174, 16410, 16647, 18960, 16763, 18846, 16672, 31776, 17032, 31080, 16672, 16647, 26086, 17585, 16850, 16804, 16672, 16647, 33701, 17585, 16674, 18846, 16672, 17310, 16734, 19251, 32320, 16751, 16449, 16416, 16477, 16400, 16450, 16477, 16672, 16647, 26086, 17585, 16850, 16804, 16647, 33701, 17585, 16604, 16391, 16442, 16415, 16417, 16403, 16444, 16392, 16397, 16582, 16582, 17506, 22500, 26254, 16673, 28479, 21830, 49365, 16718, 43858, 18560, 16671, 19225, 36820, 16672, 21263, 18326, 34236, 36758, 24739, 16671, 26230, 21830, 49365, 16718, 43858, 31747, 18873, 16734, 18383, 16604, 16400, 26600, 16767, 19800, 18813, 16673, 22660, 21830, 49365, 16718, 43858, 16397, 17170, 23286, 16673, 19122, 16872, 16992, 46531, 21830, 49365, 16718, 43858, 16396, 41792, 18251, 49185, 22155, 16397, 16772, 19591, 22965, 16647, 18356, 16673, 21830, 49365, 16718, 43858, 16396, 41792, 18251, 49185, 22155, 16763, 25241, 25402, 16672, 21903, 18147, 20128, 16396, 16396, 19338, 21830, 49365, 16718, 25204, 60130, 19831, 16395, 16674, 16641, 18774, 17415, 16647, 18813, 16673, 26247, 16674, 45880, 17173, 16682, 55289, 21830, 49365, 16718, 43858, 16672, 16647, 17953, 19006, 20249, 17027, 16872, 16992, 19074, 16604, 16391, 16442, 16415, 16417, 16404, 16444, 16392, 16397, 16582, 16582, 16853, 30423, 36620, 43222, 20468, 21945, 16604, 16391, 16425, 24087, 16421, 16392, 26488, 21887, 20359, 17495, 17040, 46426, 26282, 19859, 19193, 19074, 16647, 18466, 16673, 16641, 16604, 16405, 16396, 24863, 42983, 21903, 21459, 16674, 16641, 16604, 16405, 16396, 24863, 24917, 18077, 16721, 29054, 16647, 29151, 16673, 17446, 16396, 18489, 26416, 32714, 24571, 16604, 16391, 16418, 32206, 16392, 16672, 16604, 16403, 16404, 16400, 17371, 30768, 22140, 18383, 16604, 16400, 26600, 24454, 16929, 16955, 32320, 16751, 16449, 16416, 16477, 16400, 16450, 16477, 19415, 17490, 17989, 16674, 18568, 16647, 18821, 18898, 16604, 16391, 16442, 16415, 16417, 16405, 16444, 16396, 16396, 16442, 16415, 16417, 16400, 16400, 16444, 16392, 16397, 18708, 19831, 19194, 16641, 18122, 35711, 16671, 26828, 16647, 24426, 16673, 21903, 16674, 36473, 20671, 16734, 16647, 18356, 16673, 26247, 16397, 16875, 18150, 16395, 43842, 16719, 32206, 32714, 17586, 16958, 18125, 16671, 26828, 16647, 18774, 17415, 55289, 21830, 49365, 16718, 43858, 27024, 16809, 16719, 32206, 16674, 26230, 26247, 16397, 16582, 16582, 17879, 19890, 39599, 43717, 31069, 21828, 58780, 16434, 16604, 16474, 16386, 16466, 16404, 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, 16582, 16582, 16853, 18077, 25022, 16674, 21903, 24319, 16673, 32550, 24454, 16807, 16992, 20101, 16672, 18686, 16604, 16391, 16442, 16415, 16417, 16406, 16444, 16396, 16396, 16442, 16415, 16417, 16408, 16444, 16392, 16397, 26481, 38085, 25145, 19618, 18702, 49612, 16407, 17202, 16395, 18383, 16604, 16400, 26600, 16715, 16767, 17965, 16604, 16400, 16987, 16395, 17231, 16673, 18422, 16667, 32983, 24889, 16785, 19705, 16604, 16391, 16649, 17965, 17567, 16392, 20217, 32983, 50346, 16395, 16674, 16751, 16449, 16416, 16477, 16400, 16450, 16477, 17743, 16604, 16443, 16411, 16400, 16399, 16397, 16399, 16388, 16397, 30216, 26247, 16763, 16804, 16667, 39492, 16674, 16604, 16407, 16388, 16673, 24454, 16672, 17490, 19165, 19318, 18171, 16396, 47344, 16767, 17965, 16917, 26247, 18094, 16672, 16647, 16604, 16405, 18355, 19421, 16671, 18077, 21314, 16397, 16772, 18077, 36290, 16673, 16641, 16604, 16405, 16396, 24863, 42983, 21459, 16672, 16944, 24454, 16958, 42983, 16671, 18422, 16641, 18123, 17585, 16721, 17405, 19749, 17616, 19546, 32714, 24571, 16785, 16641, 16719, 32206, 17585, 16721, 17405, 16917, 16673, 16647, 18211, 17567, 16719, 32206, 20988, 16409, 16647, 22666, 28024, 22915, 35216, 16604, 16391, 50721, 17935, 43222, 21621, 16395, 19376, 16397, 16395, 17385, 18874, 16448, 16395, 23279, 16392, 16395, 16647, 36704, 24393, 35301, 34736, 45621, 16396, 20743, 21771, 28785, 52414, 16674, 26488, 21887, 20359, 17495, 17040, 46426, 19750, 16604, 16391, 24393, 16467, 20364, 36704, 24393, 16395, 19376, 16397, 16395, 18827, 31215, 16395, 23279, 16392, 16395, 16785, 16647, 17267, 16471, 17861, 26069, 64618, 16604, 16391, 16419, 17345, 17861, 16395, 19376, 16397, 16395, 19512, 26660, 16395, 23279, 16392, 16397, 16772, 42983, 21459, 16763, 20440, 16809, 16641, 16604, 16405, 16396, 24863, 24917, 18077, 16672, 16944, 16719, 32206, 16763, 33024, 16672, 16647, 18123, 17585, 16674, 20726, 16672, 16647, 16719, 32206, 17585, 16397, 16582, 16582, 42426, 16763, 20236, 16671, 16604, 16403, 16402, 16405, 16604, 16391, 16408, 16406, 16388, 16392, 16673, 16604, 16403, 16404, 16400, 42983, 24454, 16929, 21443, 16604, 16400, 16401, 18355, 16673, 17482, 16396, 16825, 16397, 16772, 16604, 16400, 16404, 24454, 16734, 38691, 17482, 16396, 16825, 19618, 16917, 18910, 16929, 16763, 22816, 16671, 16703, 17551, 16654, 24400, 25695, 26247, 16809, 39982, 32983, 51522, 16674, 16604, 16400, 16403, 18208, 16929, 17132, 16804, 18019, 26247, 17329, 30328, 16891, 16673, 16647, 18077, 16397, 16582, 16582, 25688, 16763, 21365, 16741, 16667, 18094, 16721, 19062, 23341, 16815, 17653, 17418, 16671, 39890, 62719, 16395, 30628, 22176, 16395, 16785, 16977, 16941, 35377, 26028, 21330, 16604, 16391, 16442, 16415, 16417, 16402, 16444, 16392, 16397, 16772, 41476, 42804, 18528, 16763, 17405, 16671, 26828, 16647, 24426, 16673, 32320, 36473, 16674, 21903, 20671, 16734, 16647, 35233, 16673, 26247, 19122, 16672, 16819, 47037, 20609, 16397, 50548, 16672, 16647, 16819, 47037, 20609, 16734, 16641, 16604, 16393, 16431, 16393, 18020, 16604, 16443, 16411, 16604, 16399, 16397, 16401, 16399, 16958, 19618, 16672, 16667, 20808, 64720, 18528, 16674, 17177, 16641, 40472, 40598, 23914, 16763, 17405, 16671, 22200, 25625, 16734, 16641, 16604, 16393, 16431, 16393, 18020, 16604, 16443, 16413, 16604, 16399, 16397, 16399, 16404, 16397, 18523, 16395, 17172, 16673, 19705, 29311, 37509, 16395, 17097, 16604, 16393, 16431, 16393, 19795, 16604, 16443, 16411, 16604, 16399, 16397, 16399, 16400, 16958, 19570, 18650, 16397, 16582, 16582, 16416, 19035, 22525, 17650, 25901, 16672, 16641, 18655, 18528, 16397, 17999, 19825, 17302, 16642, 16842, 16798, 16672, 16647, 18528, 18843, 16395, 17097, 16917, 32320, 16719, 32206, 20165, 16673, 21830, 49365, 16718, 43858, 16604, 16391, 43217, 16898, 16673, 19795, 57727, 16406, 16399, 26785, 16398, 16451, 16427, 16392, 16763, 19618, 16672, 16647, 20609, 16397, 28992, 16958, 18655, 16715, 16647, 20349, 37033, 21830, 49365, 16718, 25204, 18124, 17131, 16647, 27164, 16604, 16391, 16416, 28423, 16392, 16674, 16647, 18229, 19546, 32714, 21304, 16604, 16391, 50866, 48697, 16392, 16604, 16391, 16442, 16415, 16417, 16400, 16401, 16444, 16392, 25722, 16815, 16719, 32206, 17586, 16604, 16391, 19280, 16804, 19628, 16392, 16397, 16719, 32206, 22021, 16673, 29921, 16718, 25204, 28593, 17274, 16741, 26692, 16395, 37488, 16673, 28593, 16604, 16391, 24071, 16741, 26692, 24536, 16809, 16647, 17881, 32714, 16392, 16395, 16674, 16647, 20267, 18960, 16673, 17928, 16604, 16391, 16442, 16415, 16417, 16400, 16402, 16444, 16392, 16958, 17027, 17588, 23967, 16734, 24101, 16673, 16719, 32206, 19795, 57727, 16406, 16399, 26785, 16398, 16451, 16427, 16674, 16958, 33553, 16815, 16647, 20609, 16397, 39862, 16466, 16734, 21572, 19795, 16715, 54595, 17099, 16958, 33553, 16815, 16647, 24284, 16819, 47037, 20609, 16397, 17544, 16647, 64720, 20609, 16395, 21572, 19795, 16958, 22140, 16741, 16641, 21681, 23479, 16715, 39418, 54595, 17099, 16395, 16674, 16667, 32967, 16715, 21572, 19795, 16763, 18973, 16671, 16647, 18528, 16715, 26416, 54595, 17099, 16397, 16582, 16582, 16853, 26247, 20627, 16672, 16647, 18123, 17585, 16674, 16719, 32206, 17585, 17560, 16914, 17092, 16604, 16405, 18355, 16673, 26742, 16958, 19739, 17655, 16641, 21906, 17435, 48017, 21410, 18400, 17709, 16397, 16711, 38558, 21889, 21410, 17709, 16763, 17405, 16671, 24416, 16647, 26247, 18960, 16673, 16647, 16719, 32206, 17585, 17415, 16647, 17092, 16674, 17711, 16604, 16405, 18355, 16397, 16711, 23517, 16396, 17484, 31554, 58114, 34765, 16734, 46034, 52661, 31952, 16763, 17405, 16671, 24416, 16647, 26247, 18960, 17415, 17897, 16734, 16674, 17714, 16719, 32206, 17231, 16397, 16582, 16582, 16416, 17711, 19335, 29054, 16647, 24426, 16673, 17910, 16719, 32206, 21830, 49365, 16718, 43858, 41059, 16604, 16391, 16388, 57727, 16406, 16399, 26785, 16398, 16451, 16427, 16395, 21830, 49365, 16718, 25204, 16711, 28423, 16395, 45264, 48697, 16395, 16674, 16767, 17965, 16604, 16402, 16399, 29551, 17414, 57727, 16404, 16403, 26785, 16398, 16451, 16427, 16392, 17560, 16604, 16400, 17386, 16734, 16647, 35233, 16673, 26247, 16709, 16647, 18211, 17386, 17655, 23517, 16396, 17484, 31554, 58114, 34765, 16734, 46034, 52661, 31952, 16671, 18375, 16715, 37033, 17586, 16397, 64753, 16672, 16811, 19335, 16763, 20236, 16671, 17310, 24454, 16929, 16955, 16767, 17965, 16917, 26247, 18094, 16715, 16944, 16986, 16763, 16767, 17965, 16604, 16400, 16401, 16678, 16673, 16719, 32206, 32714, 17586, 18125, 16815, 16647, 38530, 17386, 16397, 18196, 16667, 19642, 21830, 49365, 16718, 25204, 18094, 23619, 17989, 16604, 16402, 17897, 17135, 16641, 19421, 21830, 49365, 16718, 25204, 18094, 16395, 16647, 18094, 16763, 16804, 19570, 16741, 16641, 17009, 18094, 16674, 16763, 16804, 33855, 16604, 16391, 16393, 16429, 16393, 16604, 16412, 16604, 16400, 16392, 16397, 43307, 24319, 16604, 16391, 50935, 26288, 16395, 45732, 16395, 19506, 27539, 18960, 16395, 16674, 19508, 42075, 18020, 16604, 16443, 16442, 26234, 16437, 16443, 16444, 16392, 16769, 18201, 16715, 19001, 18668, 18842, 16715, 16647, 17910, 16719, 32206, 21830, 49365, 16718, 25204, 41059, 16397, 16582, 16582, 51704, 16427, 21653, 16604, 16474, 16386, 16466, 16405, 16476, 16582, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16582, 16582, 19494, 16785, 16922, 26247, 19122, 23619, 16672, 16604, 16404, 16403, 16604, 16391, 16400, 16401, 16388, 16392, 16673, 16647, 16604, 16403, 16402, 16405, 24454, 16410, 16604, 16402, 16405, 16604, 16391, 16407, 16388, 16392, 24454, 21877, 16917, 18094, 16395, 16604, 16400, 16402, 16604, 16391, 16402, 16388, 16392, 24454, 16955, 17142, 19122, 16395, 16604, 16403, 16604, 16391, 16399, 16397, 16408, 16388, 16392, 24454, 16955, 17567, 19122, 16395, 16674, 16604, 16400, 16604, 16391, 16399, 16397, 16401, 16388, 16392, 18910, 16955, 17910, 19122, 16397, 16772, 20562, 34330, 18960, 16673, 26247, 16763, 16604, 16400, 16406, 16397, 16408, 19122, 16972, 16604, 16400, 16399, 16399, 17418, 16396, 35518, 16395, 17255, 16604, 16401, 16400, 16397, 16402, 16672, 16647, 16604, 16400, 16405, 16399, 24454, 49612, 16401, 16404, 17202, 16673, 18702, 16395, 16604, 16400, 16405, 16397, 16399, 16672, 16647, 16604, 16400, 16402, 16407, 24454, 16604, 16400, 16404, 16396, 16396, 16401, 16403, 17202, 16673, 18702, 16395, 16674, 16604, 16400, 16404, 16397, 16408, 16672, 16647, 16604, 16400, 16402, 16407, 24454, 16604, 16407, 16396, 16396, 16400, 16403, 17202, 16673, 18702, 16397, 16772, 18960, 16763, 16604, 16401, 16400, 16397, 16404, 16672, 16647, 17092, 16604, 16405, 18355, 16673, 17231, 16809, 16647, 16719, 32206, 17585, 16674, 16604, 16400, 16404, 16397, 16399, 17560, 16647, 16604, 16405, 18355, 16673, 16719, 32206, 17231, 16672, 16647, 18123, 17585, 16604, 16391, 21202, 20440, 16647, 16604, 16405, 16396, 24863, 42983, 21459, 16392, 16604, 16391, 16393, 16431, 16393, 16604, 16412, 16604, 16399, 16397, 16404, 16405, 16392, 16397, 31606, 16647, 16719, 32206, 17585, 16395, 16986, 16763, 16641, 23725, 20815, 17827, 26247, 17560, 16647, 17711, 16604, 16405, 18355, 19739, 16734, 16647, 17092, 16604, 16405, 18355, 16604, 16391, 16407, 16397, 16399, 20836, 16397, 16604, 16401, 16400, 16397, 16404, 19122, 16972 ]
[ 0, 38194, 16604, 16474, 16386, 37256, 16400, 16476, 16582, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16582, 16582, 25502, 16645, 16936, 18544, 20062, 16704, 16917, 16673, 16647, 19868, 22556, 16673, 30174, 16672, 16647, 17394, 18120, 16604, 16391, 30234, 47128, 16604, 16389, 32678, 17162, 16395, 16604, 16442, 16415, 23965, 16401, 16406, 16444, 16410, 31110, 16604, 16389, 41349, 16395, 16604, 16442, 16415, 23965, 16402, 16400, 16444, 16392, 16395, 16674, 20290, 17009, 34947, 27204, 16807, 20683, 19080, 45002, 18544, 20062, 16672, 18961, 17202, 16395, 16667, 23381, 16604, 16400, 16398, 16402, 16673, 45002, 18544, 20062, 18813, 20671, 20397, 51057, 16604, 16391, 16422, 16823, 16461, 17354, 16395, 16604, 16442, 16415, 23965, 16401, 16401, 16444, 16392, 16397, 16772, 18150, 16673, 28339, 20671, 16671, 19749, 48566, 18813, 20671, 17123, 24187, 16647, 31777, 16673, 18873, 16767, 18813, 16397, 34794, 18147, 16709, 16647, 26170, 16711, 20937, 20610, 22738, 16721, 28339, 20671, 16958, 19359, 16671, 19800, 18813, 16673, 18544, 22625, 16395, 16850, 18613, 31054, 16709, 26170, 16711, 20937, 16958, 33289, 22357, 16604, 16391, 16433, 23616, 57068, 17605, 16813, 16397, 16395, 16604, 16442, 16415, 23965, 16403, 16403, 16444, 16392, 16397, 58194, 16395, 23267, 19678, 16914, 18314, 19863, 27894, 20671, 17274, 16741, 53217, 16395, 24951, 16395, 24954, 16395, 18237, 32225, 16395, 16674, 25917, 20962, 16604, 16391, 40009, 16466, 16395, 16604, 16442, 16415, 23965, 16401, 16408, 16444, 16410, 18107, 16473, 57068, 17605, 16813, 16397, 16395, 16604, 16442, 16415, 23965, 16403, 16403, 16444, 16395, 16604, 16442, 16415, 23965, 16403, 16402, 16444, 16410, 47285, 16604, 16389, 18401, 16849, 19171, 16395, 16604, 16442, 16415, 23965, 16404, 16400, 16444, 16392, 16671, 19730, 16641, 18774, 17415, 28339, 20671, 16674, 20154, 34947, 50328, 16604, 16391, 16433, 23616, 57068, 17605, 16813, 16397, 16395, 16604, 16442, 16415, 23965, 16403, 16402, 16444, 16392, 16397, 16582, 16582, 18747, 16803, 17912, 16673, 28339, 20671, 17989, 20470, 46539, 16647, 18813, 16673, 29175, 17730, 25178, 16604, 16391, 16433, 23616, 57068, 17605, 16813, 16397, 16395, 16604, 16442, 16415, 23965, 16403, 16402, 16444, 16410, 47285, 16604, 16389, 18401, 16849, 19171, 16395, 16604, 16442, 16415, 23965, 16404, 16400, 16444, 16392, 16395, 16674, 16811, 50259, 17123, 30439, 16703, 32644, 16671, 16641, 18462, 39186, 16672, 16647, 33086, 16673, 25643, 16604, 16391, 16419, 27896, 29853, 16395, 16604, 16442, 16415, 23965, 16400, 16405, 16444, 16392, 16397, 16772, 58992, 16604, 16391, 18954, 16759, 16392, 25643, 22004, 16763, 23644, 20140, 16671, 21986, 34947, 18873, 16929, 16769, 27012, 16671, 23000, 16674, 54859, 29144, 16604, 16391, 32869, 16723, 17901, 16395, 16604, 16442, 16415, 23965, 16405, 16444, 16410, 22038, 16723, 17901, 17605, 16813, 16397, 16395, 16604, 16442, 16415, 23965, 16400, 16404, 16444, 16392, 16397, 26170, 16759, 20470, 20903, 16671, 18019, 20809, 26424, 16604, 16391, 29600, 16469, 16895, 21228, 16709, 20809, 19291, 19283, 16392, 17437, 16804, 29268, 17007, 16734, 18208, 18443, 16671, 20198, 16673, 36871, 16604, 16391, 29600, 16469, 16895, 21228, 16709, 18237, 38455, 16392, 16604, 16391, 32869, 16723, 17901, 17605, 16813, 16397, 16395, 16604, 16442, 16415, 23965, 16400, 16404, 16444, 16392, 16397, 26170, 16759, 25643, 16872, 16992, 19970, 16734, 20154, 18950, 16673, 17417, 16674, 19800, 60435, 16674, 30174, 16672, 34947, 18873, 16604, 16391, 32869, 16723, 17901, 17605, 16813, 16397, 16395, 16604, 16400, 16408, 16408, 16405, 16395, 16604, 16442, 16415, 23965, 16400, 16400, 16444, 16410, 16908, 43615, 16604, 16389, 22038, 16723, 17901, 16395, 16604, 16442, 16415, 23965, 16401, 16405, 16444, 16410, 28326, 64172, 16604, 16389, 22038, 16723, 17901, 16395, 16604, 16442, 16415, 23965, 16402, 16403, 16444, 16392, 16397, 16772, 33645, 16673, 26170, 16759, 32978, 16815, 16604, 16401, 16407, 16671, 16604, 16402, 16401, 16388, 18325, 17476, 36632, 19527, 16395, 17789, 53744, 16675, 18544, 20062, 16395, 25917, 18544, 22155, 16395, 16674, 36938, 40951, 20062, 16397, 16772, 30174, 18813, 42066, 16809, 26170, 16759, 16704, 16604, 16402, 16396, 29036, 16395, 16734, 16811, 18813, 17255, 21191, 16673, 20062, 35998, 16395, 17274, 16741, 17939, 59489, 36002, 16395, 16674, 26289, 19619, 17274, 16741, 24954, 16674, 24951, 16395, 16674, 21051, 21286, 19428, 19165, 16604, 16391, 51220, 64172, 16604, 16389, 22038, 16723, 17901, 16395, 16604, 16442, 16415, 23965, 16402, 16403, 16444, 16392, 16397, 16582, 16582, 16853, 27287, 27264, 26170, 16759, 25643, 16734, 29175, 50328, 16672, 34947, 18873, 16769, 20698, 16804, 17796, 16671, 41934, 16815, 21312, 20062, 35998, 16604, 16391, 17094, 22966, 16840, 17605, 16813, 16397, 16395, 16604, 16442, 16415, 23965, 16404, 16444, 16410, 61657, 17605, 16813, 16397, 16395, 16604, 16442, 16415, 23965, 16402, 16401, 16444, 16392, 16397, 31238, 16395, 20809, 17730, 16396, 21670, 31585, 16395, 17274, 16741, 27169, 16674, 20154, 19165, 47597, 16604, 16391, 16426, 24352, 18336, 22298, 17605, 16813, 16397, 16395, 16604, 16442, 16415, 23965, 16401, 16404, 16444, 16410, 28326, 64172, 17605, 16813, 16397, 16395, 16604, 16442, 16415, 23965, 16402, 16404, 16444, 16410, 18609, 52248, 17605, 16813, 16397, 16395, 16604, 16442, 16415, 23965, 16403, 16406, 16444, 16392, 16395, 16674, 24566, 40632, 22089, 17274, 16741, 32718, 30605, 49396, 19415, 16604, 16391, 16428, 18498, 17456, 17605, 16813, 16397, 16395, 16604, 16442, 16415, 23965, 16402, 16399, 16444, 16410, 20408, 18573, 17605, 16813, 16397, 16395, 16604, 16442, 16415, 23965, 16404, 16403, 16444, 16392, 16674, 16764, 16396, 42436, 55157, 16604, 16391, 32869, 16723, 17901, 17605, 16813, 16397, 16395, 16604, 16442, 16415, 23965, 16400, 16401, 16444, 16392, 16807, 16992, 22738, 16741, 18230, 30880, 20671, 16397, 32951, 20335, 16395, 18961, 23806, 16807, 20542, 16665, 21295, 16709, 16647, 28450, 16673, 17655, 23614, 16673, 45002, 32981, 19846, 44106, 16741, 16641, 62107, 18238, 16715, 51971, 17161, 32345, 17415, 28339, 18813, 20671, 16674, 29175, 36632, 25178, 16672, 19532, 16396, 50951, 17586, 16604, 16391, 16433, 23616, 57068, 17605, 16813, 16397, 16395, 16604, 16442, 16415, 23965, 16403, 16404, 16444, 16392, 16397, 16875, 16647, 17875, 18077, 16395, 16742, 19618, 23405, 16673, 23614, 16673, 45002, 40951, 20062, 16671, 20866, 16891, 16647, 23384, 16673, 27123, 43877, 16725, 16395, 39659, 20062, 35998, 16843, 24448, 16671, 20580, 28339, 36694, 16674, 16395, 16672, 17762, 16395, 17123, 17588, 16889, 16647, 23405, 16673, 26170, 16759, 25643, 32975, 16397, 16582, 16582, 17071, 21903, 16674, 56409, 18918, 18147, 16395, 26170, 16759, 16843, 16703, 29998, 16734, 16647, 39233, 16604, 16400, 16403, 16396, 20153, 26170, 16759, 41246, 16604, 16391, 22569, 16400, 16403, 16392, 16721, 22021, 20809, 19291, 19283, 16674, 18237, 38455, 16604, 16391, 16406, 20696, 16715, 17492, 24020, 16392, 16604, 16391, 32869, 16723, 17901, 16395, 16604, 16442, 16415, 23965, 16406, 16444, 16392, 16397, 16772, 35482, 16400, 16403, 21434, 16872, 16992, 43117, 16672, 44442, 16604, 16391, 32869, 16723, 17901, 16395, 16604, 16442, 16415, 23965, 16406, 16444, 16392, 16395, 20917, 16604, 16391, 63920, 17605, 16813, 16397, 16395, 16604, 16442, 16415, 23965, 16404, 16406, 16444, 16392, 16395, 39721, 16604, 16391, 51220, 64172, 16604, 16389, 22038, 16723, 17901, 16395, 16604, 16442, 16415, 23965, 16402, 16402, 16444, 16410, 17778, 16879, 17976, 17605, 16813, 16397, 16395, 16604, 16442, 16415, 23965, 16404, 16399, 16444, 16392, 16395, 28140, 16604, 16391, 32869, 16723, 17901, 16395, 16604, 16442, 16415, 23965, 16406, 16444, 16392, 16395, 21439, 16604, 16391, 20112, 30074, 17605, 16813, 16397, 16395, 16604, 16442, 16415, 23965, 16401, 16399, 16444, 16392, 16395, 24194, 16604, 16391, 16422, 18292, 16960, 16456, 16604, 16389, 20948, 20061, 42456, 16395, 16604, 16442, 16415, 23965, 16401, 16400, 16444, 16392, 16674, 38099, 16604, 16391, 51220, 64172, 17605, 16813, 16397, 16395, 16604, 16442, 16415, 23965, 16402, 16406, 16444, 16392, 34947, 18873, 16674, 21374, 24758, 16397, 18523, 16395, 17097, 16641, 17589, 19831, 16807, 28152, 17072, 16647, 26170, 16759, 22004, 28789, 17989, 16647, 18514, 16396, 44099, 18528, 16673, 25643, 16395, 16674, 17028, 18077, 16671, 19346, 16872, 23679, 17072, 16647, 18237, 38455, 21348, 30445, 16671, 23000, 18123, 16397, 30787, 16395, 16647, 28480, 16673, 16647, 17788, 18077, 16958, 16604, 16391, 16448, 16392, 16671, 26828, 16647, 20571, 29110, 21454, 16673, 16647, 35482, 16400, 16403, 16672, 38210, 16675, 34947, 18873, 16734, 16641, 18462, 18314, 16709, 16647, 22004, 36669, 16673, 26170, 16759, 16395, 16604, 16391, 16449, 16392, 16671, 27768, 18515, 23405, 16673, 26170, 16759, 25643, 16704, 17588, 23967, 16809, 21312, 20062, 35998, 16672, 17213, 18873, 16674, 16604, 16391, 16450, 16392, 16671, 22597, 16647, 24426, 17415, 26170, 16759, 16674, 17730, 16396, 21670, 18813, 34439, 16397, 16582, 16582, 24719, 16604, 16474, 16386, 37256, 16401, 16476, 16582, 16412, 16412, 16412, 16412, 16412, 16412, 16582, 16582, 59822, 16604, 16474, 16386, 37256, 16402, 16476, 16582, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16582, 16582, 17635, 18077, 19618, 17142, 34947, 20475, 23375, 16397, 16772, 17092, 22281, 16604, 16391, 26173, 24697, 22281, 16687, 16392, 36290, 16673, 16604, 16400, 16395, 16401, 16408, 16400, 18873, 49210, 16715, 45002, 55418, 20147, 16674, 16398, 16658, 16972, 59501, 45002, 26536, 16767, 21508, 17977, 17541, 16456, 16396, 16720, 17742, 20374, 16672, 17143, 40176, 33951, 17442, 16604, 16391, 21804, 16604, 16401, 16399, 16399, 16406, 16396, 16396, 29294, 16604, 16401, 16399, 16399, 16407, 16392, 16395, 16647, 17097, 20374, 16672, 38210, 17187, 17274, 21140, 16769, 20888, 16397, 18708, 18873, 16958, 29953, 17014, 49210, 16671, 16647, 45002, 17534, 20666, 16395, 19028, 27797, 16671, 16647, 22997, 33013, 16785, 16809, 24104, 16980, 16873, 16958, 16709, 16647, 21089, 17685, 16715, 16641, 45002, 47799, 17873, 16397, 35275, 16958, 25983, 16715, 25769, 17097, 16980, 16873, 16604, 16391, 16448, 16392, 41179, 16641, 45002, 55418, 20147, 16785, 16972, 59501, 45002, 26536, 17560, 16914, 17788, 60411, 16410, 16674, 16604, 16391, 16449, 16392, 22969, 16674, 17337, 38210, 16675, 20685, 17929, 16397, 61161, 16396, 31659, 18873, 16958, 33553, 17172, 16873, 18422, 17132, 16804, 18293, 16647, 35482, 16400, 16403, 16604, 16391, 16393, 16461, 16393, 18331, 16412, 18331, 16402, 16403, 16392, 16785, 17132, 16804, 35269, 45002, 55418, 20147, 16604, 16391, 16393, 16461, 16393, 18331, 16412, 18331, 16400, 16399, 16392, 16397, 16772, 23063, 16604, 16400, 16395, 16401, 16403, 16406, 18873, 16604, 16391, 16407, 16406, 16404, 18102, 16674, 16604, 16402, 16406, 16401, 18130, 16392, 16955, 16641, 17881, 18702, 16673, 16604, 16405, 16403, 16397, 16407, 18331, 35518, 16604, 16391, 23460, 16604, 16400, 16399, 16397, 16407, 16392, 16395, 16734, 18130, 17255, 21777, 20985, 17032, 18102, 16604, 16391, 16393, 16428, 16393, 18331, 16412, 18331, 16405, 16402, 16397, 16402, 16604, 16391, 23460, 16604, 16400, 16400, 16397, 16399, 16392, 20836, 16397, 16604, 16393, 16428, 16393, 18331, 16412, 18331, 16405, 16407, 16397, 16401, 16604, 16391, 23460, 16604, 16408, 16397, 16404, 16392, 16395, 16604, 16393, 16467, 16393, 16477, 16391, 16400, 16395, 16401, 16403, 16404, 16392, 16477, 18331, 16412, 18331, 16406, 16397, 16404, 16406, 16395, 16604, 16393, 16431, 16393, 18331, 16443, 16411, 18331, 16399, 16397, 16399, 16399, 16400, 16392, 16397, 17170, 20475, 22281, 16763, 19618, 16672, 16647, 18077, 16671, 16604, 16391, 16448, 16392, 25018, 16647, 21348, 20189, 16673, 16647, 35482, 16400, 16403, 21434, 16395, 16674, 16604, 16391, 16449, 16392, 27768, 18515, 16647, 23405, 16673, 26170, 16759, 25643, 16704, 17588, 23967, 16809, 16647, 35998, 16673, 26592, 45002, 40951, 20062, 16397, 16582, 16582, 16853, 17711, 22281, 16604, 16391, 26173, 24697, 22281, 20448, 16392, 36290, 16673, 16604, 16400, 16405, 16400, 18873, 16815, 16647, 45002, 17534, 20666, 16395, 16674, 16815, 16647, 18544, 22155, 30648, 16673, 16647, 21508, 17977, 17541, 16456, 16396, 16720, 17742, 20374, 16604, 16391, 32868, 16396, 16396, 29414, 16604, 16401, 16399, 16399, 16405, 16674, 19196, 16604, 16401, 16399, 16399, 16405, 16396, 16396, 29801, 16604, 16401, 16399, 16399, 16406, 16392, 16397, 17170, 22281, 16763, 19618, 16672, 16647, 18077, 16671, 27768, 16922, 37079, 16647, 36669, 16673, 16647, 26170, 16759, 25643, 22004, 16672, 38210, 16395, 16674, 17072, 16728, 16704, 19359, 16671, 17730, 16396, 21670, 18813, 34439, 16397, 17999, 16811, 17291, 16395, 17213, 18873, 21443, 19642, 27615, 16721, 16958, 16804, 32533, 16672, 16647, 21036, 34947, 22281, 16687, 16397, 24273, 18873, 16958, 33553, 16815, 19335, 18443, 16671, 38691, 41510, 17586, 16397, 16772, 18551, 22281, 19618, 16604, 16400, 16404, 16406, 22381, 16604, 16391, 16400, 16400, 16407, 31080, 16674, 16604, 16402, 16408, 31776, 16392, 16734, 16667, 19183, 18702, 16673, 16604, 16405, 16400, 16397, 16406, 18331, 35518, 16604, 16391, 23460, 16604, 16400, 16400, 16397, 16402, 16392, 16395, 16674, 17244, 18130, 42568, 16671, 16703, 20985, 17032, 18102, 16604, 16391, 16393, 16428, 16393, 18331, 16412, 18331, 16405, 16399, 16397, 16401, 16604, 16391, 23460, 16604, 16400, 16400, 16397, 16400, 16392, 20836, 16397, 16604, 16393, 16428, 16393, 18331, 16412, 18331, 16405, 16405, 16397, 16403, 16604, 16391, 23460, 16604, 16400, 16400, 16397, 16399, 16392, 16395, 16604, 16393, 16467, 16393, 16477, 16391, 16400, 16404, 16399, 16392, 16477, 18331, 16412, 18331, 16402, 16397, 16399, 16402, 16395, 16604, 16393, 16431, 16393, 18331, 16443, 16411, 18331, 16399, 16397, 16399, 16400, 16392, 16397, 16582, 16582, 29298, 20976, 24319, 16715, 16647, 17142, 33564, 23375, 16769, 20905, 16672, 23984, 18331, 16442, 16400, 16444, 16391, 16386, 34185, 16400, 16392, 16474, 18452, 16396, 18926, 16412, 16385, 22246, 16385, 16476, 16397, 35275, 16672, 34947, 22281, 16687, 16958, 20985, 16709, 19183, 19739, 16671, 18873, 16672, 34947, 22281, 20448, 16604, 16391, 16393, 16467, 16393, 16477, 16391, 16400, 16395, 16402, 16408, 16406, 16392, 16477, 18331, 16412, 18331, 16402, 16397, 16401, 16403, 16410, 16604, 16393, 16431, 16393, 18331, 44438, 16481, 18331, 16399, 16397 ]
[ 0, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16650, 17879, 19888, 17528, 18525, 16409, 36476, 26062, 16436, 31026, 16604, 16400, 16407, 16395, 16604, 16401, 16399, 16400, 16405, 16582, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 22734, 27495, 42849, 24977, 34810, 18525, 16582, 16582, 16696, 16696, 16696, 16650, 16653, 36123, 29250, 17075, 16465, 16696, 16696, 16418, 18965, 16453, 16700, 18388, 17503, 45675, 26639, 16582, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16650, 16604, 16401, 16399, 16400, 16404, 16396, 21066, 16396, 16399, 16399, 16399, 16399, 16407, 16405, 16396, 22695, 16582, 16582, 16582, 16582, 17681, 21727, 16409, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16773, 16582, 16433, 25488, 28165, 16711, 16397, 16762, 42809, 16395, 49818, 16397, 16395, 64910, 27590, 16424, 20840, 16582, 16582, 23849, 16582, 16582, 62861, 17528, 17759, 16738, 21759, 16436, 21828, 16582, 16423, 17759, 18092, 29305, 28346, 18629, 17759, 16832, 17759, 18311, 16395, 16582, 42809, 64618, 19207, 64910, 27590, 16424, 20840, 16434, 16582, 16582, 16696, 16696, 16696, 16696, 20084, 21857, 44896, 42576, 18311, 16759, 61293, 37525, 58088, 16435, 16582, 16696, 16696, 16650, 26911, 17904, 39168, 16759, 61293, 37525, 21256, 16908, 20512, 33874, 16440, 16395, 55552, 21421, 39168, 16759, 20137, 18629, 19429, 16582, 16696, 16696, 16696, 16696, 16650, 16719, 20551, 38118, 16395, 16719, 20137, 19892, 25922, 16397, 16604, 16400, 16403, 16396, 16400, 16400, 16408, 16396, 24486, 16582, 16582, 16582, 16423, 17759, 18092, 29305, 20596, 25306, 16423, 18144, 16759, 16397, 16762, 19785, 16429, 18317, 30766, 16426, 16395, 16582, 17681, 52736, 40230, 18359, 30196, 41058, 18513, 26136, 24286, 16719, 23328, 20678, 16395, 16582, 16425, 26423, 18359, 30196, 25885, 16419, 36695, 52861, 62351, 16395, 26121, 25629, 16397, 16582, 16582, 16582, 16582, 16582, 16696, 16696, 16696, 16650, 19989, 17681, 19429, 21256, 20084, 58088, 16435, 29446, 46069, 26964, 16965, 20512, 22697, 16582, 16582, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16418, 28165, 61919, 19207, 20084, 64765, 16582, 16582, 16696, 16650, 16431, 18061, 31145, 16671, 25703, 16604, 16406, 16405, 16397, 16402, 16406, 16391, 16400, 16392, 16395, 16742, 24971, 16647, 30410, 19181, 16673, 16647, 16582, 16582, 32384, 18644, 21599, 19758, 16715, 16647, 25529, 21599, 16673, 29039, 16604, 16391, 55574, 16582, 16582, 50558, 16392, 16395, 16671, 18288, 16647, 19481, 17131, 29039, 17780, 16671, 16647, 18211, 17567, 16582, 16582, 37508, 16674, 16647, 19970, 17242, 16396, 37508, 16409, 16582, 16582, 24140, 16604, 16400, 16409, 16582, 16582, 16696, 16650, 21356, 16645, 16604, 16404, 16416, 16391, 16400, 16392, 16391, 16448, 16392, 19619, 16721, 16641, 22948, 16785, 33970, 22886, 19265, 16804, 16582, 16696, 16650, 16385, 54871, 16741, 16641, 19154, 16673, 16641, 19052, 20384, 16397, 16385, 17887, 16582, 16696, 16650, 16979, 57144, 16604, 16385, 54871, 16442, 16661, 16444, 16741, 16641, 19154, 16673, 16641, 19052, 16582, 16584, 16696, 16650, 20384, 16385, 16414, 17376, 21627, 16671, 16811, 17843, 16395, 16961, 16728, 18379, 16641, 16582, 16696, 16650, 22886, 16390, 16466, 23439, 16672, 24104, 16756, 29213, 16888, 19052, 19107, 16395, 16582, 16696, 16650, 17274, 16741, 16604, 16385, 16424, 17045, 16647, 17097, 23025, 22886, 16715, 27735, 16385, 16785, 16604, 16385, 16424, 17045, 16582, 16696, 16650, 16647, 35718, 23025, 22886, 16715, 27735, 16385, 16414, 24603, 16641, 16582, 16696, 16650, 22886, 16390, 16466, 19978, 16721, 16888, 29280, 16763, 16604, 16385, 17347, 31151, 16582, 16696, 16650, 22886, 16715, 27735, 16385, 16785, 16647, 16604, 16385, 45526, 16666, 31151, 16715, 27735, 16385, 43100, 16582, 16696, 16650, 16647, 35650, 16414, 16582, 16582, 24140, 16604, 16401, 16409, 16582, 16582, 16696, 16650, 21356, 16645, 16604, 16404, 16416, 16391, 16400, 16392, 16391, 16449, 16392, 19619, 16721, 16641, 22948, 16785, 33970, 22886, 19265, 16804, 16582, 16696, 16650, 16385, 16935, 16741, 16641, 20769, 16785, 18262, 16998, 19156, 16672, 16641, 19052, 20384, 16397, 16385, 17887, 16582, 16696, 16650, 16979, 57144, 16604, 16385, 16935, 16442, 16661, 16444, 16741, 16641, 20769, 16785, 18262, 16442, 16661, 16444, 16998, 19156, 16385, 16414, 17376, 21627, 16582, 16696, 16650, 16928, 16811, 17843, 16395, 16961, 28939, 19122, 16715, 16641, 19052, 19107, 43100, 16647, 16582, 16696, 16650, 21356, 16645, 16414, 16582, 16582, 24140, 16604, 16402, 16409, 16582, 16582, 16696, 16650, 21356, 16645, 16604, 16404, 16417, 16391, 16400, 16392, 16391, 16450, 16392, 19619, 16721, 16641, 22948, 16785, 33970, 22886, 16604, 16385, 40442, 16804, 16582, 16696, 16650, 30870, 22562, 16395, 16785, 16734, 48034, 48862, 16715, 16647, 20477, 16395, 19576, 34014, 16582, 16696, 16650, 17249, 22886, 16390, 16466, 22644, 16395, 37623, 16395, 17875, 18583, 16395, 16785, 17190, 16582, 16696, 16650, 17249, 16977, 19506, 16785, 38060, 23439, 16397, 16385, 17887, 39510, 16641, 19506, 16582, 16696, 16650, 43526, 16414, 17376, 21627, 16671, 16811, 17843, 16395, 16961, 16728, 18379, 16641, 22886, 16582, 16696, 16650, 25510, 26059, 24881, 16671, 16604, 16385, 16644, 16396, 28836, 16385, 16968, 16671, 16641, 17711, 17902, 17199, 17891, 17049, 16582, 16696, 16650, 24896, 25563, 16671, 16968, 17092, 17902, 16414, 16582, 16582, 16696, 16650, 21970, 16843, 17112, 16958, 18006, 57589, 16895, 16809, 16811, 19758, 16734, 16647, 24431, 16673, 16582, 16582, 17070, 18968, 16661, 16734, 23728, 16604, 16400, 16400, 16406, 16673, 17038, 27025, 29189, 16721, 16604, 16385, 21260, 17308, 16673, 16647, 16582, 16582, 63997, 19758, 16674, 29006, 16673, 16647, 19758, 16673, 39967, 16395, 32638, 16674, 21599, 19758, 16582, 16582, 40442, 16703, 24336, 16815, 16914, 26945, 29709, 16785, 39008, 16709, 16641, 17975, 60397, 20445, 16582, 16582, 16676, 19194, 16809, 17780, 16397, 16385, 16604, 16391, 23608, 51325, 18973, 16397, 16392, 17119, 23440, 16811, 25610, 16673, 16647, 16582, 16582, 54373, 24170, 27025, 16741, 38764, 16721, 29039, 16390, 16466, 33970, 24913, 16703, 16582, 16582, 23786, 60397, 16672, 20477, 16674, 27122, 16395, 16674, 16804, 25646, 16672, 17650, 16674, 23914, 16582, 16582, 17770, 16647, 48539, 62548, 16673, 16641, 19052, 19107, 41558, 16709, 16647, 25475, 33326, 16397, 16582, 16582, 22223, 16697, 16395, 16742, 18288, 16647, 18211, 30410, 16673, 29039, 17780, 16672, 19208, 16582, 16582, 16928, 16647, 21599, 19758, 16390, 16466, 19126, 16397, 16582, 16582, 16582, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16604, 16401, 16582, 16584, 16696, 16696, 16696, 16696, 16687, 16397, 16773, 26878, 46821, 21828, 63285, 18525, 20146, 18189, 53819, 26517, 35049, 16582, 16696, 16650, 21623, 16711, 16397, 27650, 16395, 24538, 16397, 16395, 23165, 16671, 17535, 16672, 16647, 17907, 16604, 16401, 16399, 16400, 16403, 20618, 20898, 16741, 16641, 16582, 16582, 16450, 30155, 16758, 16715, 24444, 19124, 22948, 16672, 16647, 16604, 16400, 16405, 16757, 52241, 32638, 16604, 16391, 35459, 22902, 16582, 16582, 55924, 16392, 16397, 17376, 17015, 16673, 16888, 19567, 21084, 16395, 27650, 54128, 49908, 17342, 16671, 16582, 16582, 52365, 23025, 24881, 29213, 19204, 16741, 16641, 22958, 23025, 16582, 16582, 16770, 16395, 16752, 39924, 16395, 29213, 16888, 30138, 16741, 22958, 24678, 16397, 18916, 16647, 16582, 16582, 22756, 16717, 17342, 16958, 18630, 16891, 16395, 16647, 29039, 52241, 45936, 20797, 16604, 16391, 16425, 19573, 16392, 16582, 16582, 18060, 17886, 27650, 16721, 16728, 16955, 19151, 28984, 16721, 16888, 49908, 17342, 37725, 16647, 16582, 16582, 54373, 24170, 24245, 16673, 52241, 45936, 16397, 27650, 26415, 16672, 18850, 16604, 16401, 16399, 16400, 16403, 16809, 27939, 16582, 16582, 16466, 19552, 16672, 16647, 21599, 19758, 17647, 16647, 16832, 19573, 24809, 16647, 31252, 17854, 16673, 16582, 16582, 21356, 17112, 16604, 16404, 16416, 16391, 16400, 16392, 16391, 16448, 16392, 16604, 16391, 17491, 18951, 18883, 29006, 16674, 33970, 23503, 16815, 49822, 16582, 16582, 16676, 16641, 19154, 16673, 16641, 19052, 20384, 16392, 16674, 16604, 16404, 16417, 16391, 16400, 16392, 16391, 16450, 16392, 16604, 16391, 17491, 18951, 18883, 29006, 16785, 16582, 16582, 27556, 27496, 23503, 16815, 18065, 16604, 16385, 25115, 16385, 16785, 16604, 16385, 42217, 30776, 16385, 23439, 16392, 16397, 16582, 16582, 16696, 16650, 24480, 16647, 17396, 20898, 23093, 16395, 32327, 18036, 17795, 23373, 16647, 20173, 16741, 16641, 16582, 16582, 16450, 30155, 16758, 16715, 20991, 19124, 22948, 16672, 16647, 16604, 16400, 16406, 16757, 52241, 21599, 16604, 16391, 35459, 22902, 16582, 16582, 55924, 16392, 16397, 20919, 18036, 17795, 41023, 22696, 16671, 33654, 19567, 16741, 16641, 23025, 16582, 16582, 16770, 20520, 49908, 17342, 41023, 29213, 19204, 16741, 16641, 23025, 16395, 16672, 19191, 16582, 16582, 16401, 16399, 16400, 16403, 16395, 18036, 17795, 23165, 16667, 64042, 27057, 16671, 21004, 27650, 16390, 16466, 20929, 16671, 17960, 17112, 16582, 16582, 16404, 16416, 16391, 16400, 16392, 16391, 16448, 16392, 16674, 16604, 16404, 16417, 16391, 16400, 16392, 16391, 16450, 16392, 16397, 17376, 21646, 17348, 16395, 18036, 17795, 17027, 31363, 16647, 16582, 16582, 16979, 24162, 17854, 16673, 35650, 16604, 16404, 16416, 16391, 16400, 16392, 16391, 16449, 16392, 16604, 16391, 16448, 33970, 22886, 19265, 16804, 16604, 16385, 16935, 16741, 16641, 16582, 16582, 45417, 16785, 18262, 16998, 19156, 16672, 16641, 19052, 20384, 16385, 16392, 16397, 16875, 16888, 27057, 16395, 18036, 17795, 16582, 16582, 51621, 16721, 16733, 18612, 16671, 20520, 16891, 49908, 17342, 16671, 19056, 24881, 29213, 16582, 16582, 35296, 17224, 16741, 16604, 16385, 17347, 17097, 23025, 22886, 16715, 27735, 16395, 16385, 16785, 16604, 16385, 17347, 35718, 16582, 16582, 16582, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16604, 16402, 16582, 16584, 59537, 22886, 16715, 27735, 16385, 16674, 29213, 16888, 29280, 16741, 16604, 16385, 17347, 16582, 16582, 28621, 41740, 22886, 16385, 16785, 16647, 16604, 16385, 45526, 16666, 31151, 16715, 27735, 16397, 16385, 18036, 17795, 17027, 24483, 16582, 16582, 16642, 16888, 27057, 16721, 16733, 18612, 16671, 22417, 16647, 43970, 16673, 16647, 18070, 16582, 16582, 59537, 21570, 16395, 19037, 19122, 16715, 16647, 18070, 23025, 21570, 16395, 16674, 17190, 16582, 16582, 46392, 30400, 16671, 18319, 16673, 16647, 23025, 21570, 16397, 16390, 16875, 16641, 37349, 17970, 16582, 16582, 16463, 51853, 44007, 29795, 16647, 31252, 17854, 16673, 16647, 16843, 17112, 17131, 18603, 16604, 16391, 17347, 16582, 16582, 17071, 16457, 18164, 25997, 16392, 16395, 16647, 21599, 19758, 27392, 16721, 16986, 16763, 16641, 33360, 16721, 16582, 16582, 32158, 16673, 16647, 16843, 17112, 16767, 18710, 16763, 50296, 16395, 16674, 24971, 18036, 17795, 16390, 16466, 22846, 16671, 16582, 16582, 48698, 16647, 16832, 19573, 16815, 52543, 16647, 16843, 17112, 17647, 17107, 16672, 16647, 19196, 16604, 16401, 16399, 16400, 16403, 16582, 16582, 36650, 16397, 16582, 16582, 16696, 16650, 47328, 22843, 16763, 25563, 16809, 26824, 23810, 26303, 16643, 16668, 16671, 16647, 29039, 16582, 16582, 50558, 16673, 39967, 16672, 18936, 16604, 16401, 16399, 16400, 16402, 16397, 17999, 24095, 16647, 19156, 16671, 16944, 17049, 16763, 25563, 16395, 16582, 16582, 41399, 19262, 16641, 22886, 16672, 16647, 19196, 16604, 16401, 16399, 16400, 16403, 20405, 34068, 16397, 16875, 19191, 16582, 16582, 16401, 16399, 16400, 16403, 16395, 16647, 16832, 19573, 19151, 16641, 27057, 53522, 16721, 27735, 22843, 16955, 17366, 19506, 16582, 16582, 16770, 38060, 23439, 16672, 41066, 16674, 19567, 21024, 16397, 16772, 16604, 16385, 25115, 16582, 16582, 16770, 38060, 23439, 16385, 23541, 16671, 22843, 16390, 17231, 16673, 16647, 19189, 16604, 16385, 16644, 16396, 28836, 16385, 16671, 16582, 16582, 42783, 16968, 18900, 16671, 24095, 16647, 33970, 18583, 16671, 16944, 17049, 16955, 16992, 16582, 16582, 57157, 18661, 17032, 16604, 16385, 52634, 16397, 16385, 22843, 17177, 34771, 16665, 16672, 27650, 16390, 16466, 21599, 16582, 16582, 50558, 18865, 16395, 16946, 18028, 16721, 35650, 16604, 16404, 16417, 16391, 16400, 16392, 16391, 16450, 16392, 16604, 16391, 17491, 18951, 18883, 19506, 23439, 16392, 16763, 16582, 16582, 16720, 16979, 32748, 16397, 16772, 17097, 18710, 20905, 16672, 22843, 16390, 22459, 16673, 16647, 17843, 16704, 16582, 16582, 45497, 16667, 45311, 22948, 16929, 16763, 25563, 16671, 19156, 17123, 23296, 17231, 16647, 16582, 16582, 16582, 16582, 16696, 16696, 16400, 18036, 17795, 17027, 21056, 30972, 21532, 16671, 16977, 33970, 16843, 17112, 16804, 16767, 18710, 16582, 16642, 16647, 19126, 16673, 17780, 37305, 17329, 16907, 16397, 16582, 16582, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16403, 16582, 16584, 21122, 16604, 16385, 16644, 16396, 28836, 16385, 16671, 23467, 16968, 18900, 16671, 24095, 16647, 19156, 16671, 16944, 17049, 16763, 16582, 16582, 57157, 16850, 16804, 24336, 16397, 16582, 16582, 16696, 16650, 16999, 16704, 17989, 16647, 20409, 16673, 16811, 33659, 16721, 16647, 21599, 19758, 26985, 16582, 16582, 21484, 16742, 21074, 17940, 16647, 17780, 16709, 16647, 19126, 26386, 31360, 16397, 16582, 16582, 16582, 16696, 16696, 16696, 16696, 16696, 16696, 16650, 19311, 16397, 64611, 18189, 25885, 16434, 18320, 17528, 41728, 16582, 16696, 16650, 17119, 18322, 16734, 16641, 17589, 18723, 36051, 16721, 22047, 17038, 27560, 16673, 16582, 16582, 17347, 19126, 20905, 16809, 16647, 21599, 19758, 16397, 19833, 16395, 33584, 16671, 16647, 29039, 16582, 16582, 18186, 24162, 16395, 16858, 29006, 16674, 60392, 16767, 17155, 17743, 16673, 16647, 17731, 54896, 16769, 16582, 16582, 32800, 16809, 45287, 20542, 16809, 16647, 17047, 16673, 29039, 16397, 29366, 16397, 25414, 16397, 16604, 25660, 16604, 16400, 16400, 16406, 16397, 23121, 16395, 16742, 16582, 16582, 42199, 17356, 16721, 16647, 33970, 16843, 17112, 16742, 18751, 16672, 16811, 19270, 16958, 20087, 16671, 16582, 16582, 57969, 16647, 17731, 16390, 16466, 30906, 17654, 16673, 28749, 16667, 59092, 16674, 56908, 16582, 16582, 27556, 39473, 16715, 16647, 34712, 16395, 16674, 16721, 16647, 34712, 16390, 16466, 17654, 16704, 16582, 16582, 28612, 16809, 53931, 16647, 19052, 21992, 16673 ]
[ 0, 16398, 16393, 16393, 16582, 16604, 16393, 17853, 19073, 16604, 16402, 16419, 18312, 19595, 40065, 18193, 16582, 16604, 16393, 34832, 16604, 16391, 16450, 16392, 16604, 16401, 16399, 16401, 16399, 17853, 19073, 16421, 18652, 18193, 16604, 16442, 19597, 16409, 16398, 16398, 29956, 16397, 17070, 16398, 21285, 19073, 16421, 18652, 18193, 16398, 21285, 19073, 16444, 16582, 16604, 16393, 16582, 16604, 16393, 27733, 16709, 27719, 19595, 16674, 17062, 19295, 16397, 16582, 16604, 16393, 34832, 16604, 16391, 16450, 16392, 16604, 16401, 16399, 16400, 16400, 22947, 17272, 16796, 26854, 17615, 16604, 16398, 45193, 20484, 17684, 17565, 28049, 16582, 16604, 16393, 16582, 16604, 16393, 17170, 17632, 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, 17170, 17632, 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, 16811, 17632, 16397, 16650, 17991, 16804, 16395, 17134, 16604, 16411, 19597, 16409, 16398, 16398, 18409, 16397, 20226, 16468, 16397, 18431, 16398, 17006, 21613, 16398, 16413, 16397, 16582, 16604, 16393, 16582, 16604, 16393, 16398, 16582, 16582, 16386, 23180, 16604, 16385, 16397, 16397, 16398, 16397, 16397, 16398, 21027, 16398, 21285, 19073, 22812, 21070, 16397, 16455, 16385, 16582, 16582, 16386, 16736, 52182, 16446, 26818, 16446, 16402, 16401, 16399, 16471, 16401, 16403, 16399, 16582, 16582, 16386, 23180, 16604, 16385, 21031, 16446, 16402, 16401, 16399, 16471, 16401, 16403, 16399, 16397, 16455, 16385, 16582, 16582, 16386, 23180, 16604, 16385, 16397, 16397, 16398, 16920, 17725, 22350, 16397, 16455, 16385, 16582, 16386, 23180, 16604, 16385, 16397, 16397, 16398, 32555, 16398, 32555, 16397, 16455, 16385, 16582, 16386, 23180, 16604, 16385, 16397, 16397, 16398, 16397, 16397, 16398, 24891, 16466, 16398, 24751, 16467, 16837, 16465, 16397, 16455, 16385, 16582, 16582, 16386, 23180, 16604, 16385, 16397, 16397, 16398, 16397, 16397, 16398, 30390, 16398, 26173, 39671, 16397, 16455, 16385, 16582, 16386, 23180, 16604, 16385, 16397, 16397, 16398, 16397, 16397, 16398, 25557, 16398, 55686, 16397, 16455, 16385, 16582, 16386, 23180, 16604, 16385, 16397, 16397, 16398, 16397, 16397, 16398, 25557, 16398, 20054, 38246, 16397, 16455, 16385, 16582, 16386, 23180, 16604, 16385, 16397, 16397, 16398, 16397, 16397, 16398, 25557, 16398, 28794, 17326, 16397, 16455, 16385, 16582, 16386, 23180, 16604, 16385, 16397, 16397, 16398, 16397, 16397, 16398, 25557, 16398, 56342, 16397, 16455, 16385, 16582, 16582, 16386, 16736, 40277, 20709, 39852, 16391, 21078, 16419, 16446, 20714, 23105, 46583, 16446, 64745, 16392, 16604, 16389, 16389, 16738, 49559, 16391, 55726, 18759, 20512, 16446, 21078, 16419, 16446, 41964, 58312, 16395, 26692, 22173, 57835, 16392, 16582, 16650, 16386, 23180, 16604, 16385, 16397, 16397, 16398, 16397, 16397, 16398, 41967, 16398, 21930, 21660, 16397, 16455, 16385, 16582, 16650, 16386, 23180, 16604, 16385, 16397, 16397, 16398, 16397, 16397, 16398, 16454, 18227, 16398, 37546, 16397, 16455, 16385, 16582, 16386, 31317, 16582, 16582, 16386, 16736, 16799, 19753, 24977, 18525, 16391, 61914, 16430, 16446, 16417, 18525, 16446, 18732, 40432, 19207, 16446, 16436, 24977, 16392, 16582, 16650, 16386, 23180, 16604, 16385, 16397, 16397, 16398, 16397, 16397, 16398, 41967, 16398, 22107, 22744, 16398, 22107, 22744, 16397, 16455, 16385, 16582, 16386, 31317, 16582, 16582, 16386, 16736, 16604, 16384, 16423, 18327, 16446, 21078, 16419, 16446, 16428, 18144, 16436, 16582, 16650, 16386, 18449, 16604, 16385, 48536, 16414, 19568, 23544, 16700, 25051, 20503, 17714, 25556, 16414, 16385, 16582, 16386, 31317, 16582, 16582, 22844, 28976, 19710, 16446, 32555, 16446, 64397, 16604, 16412, 19506, 16410, 16582, 16582, 21395, 17853, 19073, 26818, 16409, 16409, 16467, 17085, 16446, 16699, 16677, 16391, 16392, 16604, 16474, 16582, 16650, 16386, 16736, 16799, 19753, 24977, 18525, 16391, 16435, 19186, 20260, 16446, 21066, 17879, 18144, 16392, 16582, 16696, 16736, 16604, 16391, 22731, 16446, 32555, 16446, 64397, 16392, 16604, 16474, 16582, 16696, 16650, 18341, 16446, 28420, 16391, 16403, 16407, 16395, 16604, 16401, 16399, 16405, 16395, 16739, 25431, 16446, 28284, 16395, 53321, 26318, 20999, 16395, 18561, 28388, 18132, 25277, 16604, 16413, 16604, 16399, 16392, 16410, 16582, 16696, 16650, 18341, 16446, 28420, 16391, 16401, 16403, 16399, 16395, 16604, 16401, 16399, 16405, 16395, 16739, 25431, 16446, 57971, 16395, 53321, 26318, 25408, 16395, 18561, 28388, 18132, 25277, 16604, 16394, 46656, 16446, 18743, 28858, 16604, 16411, 20503, 16446, 32114, 16392, 16410, 16582, 16696, 16650, 18341, 16446, 28420, 16391, 16400, 16403, 16403, 16395, 16604, 16401, 16399, 16405, 16395, 53819, 16395, 53321, 23637, 16392, 16410, 16582, 16696, 16650, 22731, 16446, 32555, 16446, 64397, 16604, 16412, 19506, 16410, 16582, 16696, 16476, 16582, 16650, 16386, 31317, 16582, 16582, 16650, 16467, 17085, 16397, 34818, 16397, 40483, 16391, 16392, 16410, 16582, 16650, 23271, 16429, 16446, 16391, 16435, 19186, 20260, 16446, 21066, 17879, 18144, 16395, 20415, 16397, 16699, 16677, 16391, 16392, 16392, 16410, 16582, 16476, 16582, 16582, 21395, 17853, 19073, 26818, 16409, 16409, 22249, 16446, 16459, 22350, 16391, 16392, 16604, 16474, 16582, 16650, 16467, 17085, 16397, 22249, 16391, 16392, 16410, 16582, 16650, 16467, 17085, 16397, 17793, 16446, 29833, 16391, 16428, 18144, 16436, 16446, 16421, 52796, 16446, 30933, 16392, 16410, 16582, 16650, 16386, 43722, 37614, 28673, 19785, 16434, 16446, 16421, 52796, 16446, 30933, 16582, 16696, 16467, 17085, 16397, 18341, 16446, 41160, 17057, 16466, 16391, 39118, 28673, 19785, 16434, 16446, 16421, 52796, 16446, 30933, 16392, 16410, 16582, 16650, 16386, 31317, 16582, 16650, 23271, 16429, 16446, 16391, 16435, 19186, 20260, 16446, 21066, 17879, 18144, 16395, 20415, 16397, 22249, 16391, 16392, 16392, 16410, 16582, 16650, 25339, 16446, 16459, 22350, 16391, 16392, 16410, 16582, 16476, 16582, 16582, 28790, 17853, 19073, 26818, 16409, 16409, 25338, 39307, 16391, 16392, 16604, 16474, 17911, 18159, 16410, 16604, 16476, 16582, 16582, 21395, 17853, 19073, 26818, 16409, 16409, 25339, 16446, 16459, 22350, 16391, 16392, 16604, 16474, 16582, 16650, 16386, 16736, 16799, 19753, 24977, 18525, 16391, 16435, 19186, 20260, 16446, 21066, 17879, 18144, 16392, 16582, 16696, 42654, 16397, 37363, 16391, 16392, 16410, 16582, 16696, 22731, 16446, 32555, 16446, 64397, 16604, 16412, 19506, 16410, 16582, 16650, 16386, 31317, 16582, 16582, 16650, 16467, 17085, 16397, 34818, 16397, 37363, 16391, 16392, 16410, 16582, 16650, 16467, 17085, 16397, 28118, 16391, 16399, 16395, 16604, 16399, 16395, 16700, 25051, 16446, 63310, 21421, 16395, 16700, 25051, 16446, 18743, 28858, 16395, 40936, 18092, 16446, 48420, 26517, 35049, 16392, 16410, 16582, 16476, 16582, 16582, 16386, 16736, 16799, 19753, 24977, 18525, 16391, 25688, 20617, 16446, 24920, 18957, 21066, 17879, 18144, 16392, 16582, 16650, 16386, 16736, 16461, 18280, 34870, 18957, 21066, 17879, 18144, 16446, 42057, 30058, 16582, 16696, 16386, 26912, 34870, 18957, 21066, 17879, 18144, 16446, 42057, 30058, 16604, 16400, 16404, 16399, 16399, 16582, 16650, 16386, 31317, 16582, 16582, 16650, 21395, 17853, 19073, 26818, 16409, 16409, 24691, 16446, 17357, 18031, 23865, 16391, 16392, 16604, 16474, 16582, 16696, 16467, 17085, 16397, 34818, 16397, 37363, 16391, 16392, 16410, 16582, 16582, 16696, 16467, 17085, 16397, 48052, 16391, 16399, 16395, 16604, 16399, 16395, 16700, 25051, 16446, 63310, 21421, 16395, 16700, 25051, 16446, 18743, 28858, 16392, 16410, 16582, 16696, 16467, 17085, 16397, 18341, 16446, 24481, 16391, 16399, 16395, 16604, 16399, 16395, 53321, 54950, 40941, 16392, 16410, 16650, 16398, 16398, 17853, 19073, 22317, 16462, 16402, 16401, 16399, 16471, 16401, 16403, 16399, 16471, 16400, 16405, 16582, 16582, 16696, 16386, 43722, 31340, 21371, 31622, 16446, 27367, 16582, 16696, 16650, 16467, 17085, 16397, 18341, 16446, 17888, 16391, 16403, 16395, 16604, 16400, 16407, 16407, 16395, 40936, 18092, 16446, 25827, 21371, 31622, 16446, 27367, 16395, 31340, 21371, 31622, 16446, 27367, 16392, 16410, 16582, 16696, 16386, 31317, 16582, 16582, 16696, 16467, 17085, 16397, 34818, 16397, 45158, 16391, 16392, 16410, 16582, 16696, 35632, 16446, 49596, 16391, 24920, 18957, 21066, 17879, 18144, 16446, 42057, 30058, 16392, 16410, 16582, 16696, 25339, 16446, 16459, 22350, 16391, 16392, 16410, 16582, 16650, 16476, 16582, 16386, 31317, 16604, 16398, 16398, 61997, 16446, 24920, 18957, 21066, 17879, 18144, 16582, 16582, 21395, 17853, 19073, 26818, 16409, 16409, 22731, 16446, 33562, 16446, 27963, 16391, 16392, 16604, 16474, 16582, 16650, 16467, 17085, 16397, 34818, 16397, 37363, 16391, 16392, 16410, 16582, 16650, 16467, 17085, 16397, 28118, 16391, 16399, 16395, 16604, 16399, 16395, 16700, 25051, 16446, 63310, 21421, 16395, 16700, 25051, 16446, 18743, 28858, 16395, 40936, 18092, 16446, 16426, 25675, 16446, 21066, 17879, 18144, 16446, 53056, 16392, 16410, 16582, 16582, 16650, 16467, 17085, 16397, 48052, 16391, 16399, 16395, 16604, 16405, 16399, 16395, 16700, 25051, 16446, 63310, 21421, 16395, 16604, 16401, 16399, 16392, 16410, 16582, 16650, 16467, 17085, 16397, 17793, 16446, 33877, 16391, 63118, 16446, 16426, 25675, 16446, 21066, 17879, 18144, 16446, 53056, 16392, 16410, 16582, 16650, 16467, 17085, 16446, 20108, 16397, 17793, 16391, 25037, 16446, 25121, 16392, 16410, 16582, 16650, 16467, 17085, 16446, 20108, 16397, 39177, 16391, 16392, 16410, 16582, 16650, 16467, 17085, 16397, 18341, 16446, 17888, 16391, 16467, 17085, 16446, 20108, 16397, 26439, 16391, 16435, 25051, 16446, 63310, 21421, 16392, 16395, 16604, 16399, 16395, 40936, 18092, 16446, 16426, 25675, 16446, 21066, 17879, 18144, 16446, 41781, 16395, 16640, 17085, 16446, 20108, 16392, 16410, 16582, 16582, 16650, 16467, 17085, 16397, 48052, 16391, 16399, 16395, 16604, 16400, 16401, 16399, 16395, 16700, 25051, 16446, 63310, 21421, 16395, 16604, 16401, 16399, 16392, 16410, 16582, 16650, 16467, 17085, 16397, 17793, 16446, 33877, 16391, 63118, 16446, 16426, 25675, 16446, 21066, 17879, 18144, 16446, 53056, 16392, 16410, 16582, 16650, 16467, 17085, 16446, 20108, 16397, 17793, 16391, 30157, 16446, 41781, 16391, 56186, 16446, 16423, 54788, 18525, 16392, 16392, 16410, 16582, 16650, 16467, 17085, 16446, 20108, 16397, 39177, 16391, 16392, 16410, 16582, 16650, 16467, 17085, 16397, 18341, 16446, 17888, 16391, 16467, 17085, 16446, 20108, 16397, 26439, 16391, 16435, 25051, 16446, 63310, 21421, 16392, 16395, 16604, 16399, 16395, 40936, 18092, 16446, 16426, 25675, 16446, 21066, 17879, 18144, 16446, 41781, 16395, 16640, 17085, 16446, 20108, 16392, 16410, 16582, 16582, 16650, 16467, 17085, 16397, 48052, 16391, 16399, 16395, 16604, 16400, 16405, 16399, 16395, 16700, 25051, 16446, 63310, 21421, 16395, 16604, 16401, 16399, 16392, 16410, 16582, 16650, 16467, 17085, 16397, 17793, 16446, 33877, 16391, 63118, 16446, 16426, 25675, 16446, 21066, 17879, 18144, 16446, 53056, 16392, 16410, 16582, 16650, 16467, 17085, 16446, 20108, 16397, 17793, 16391, 30157, 16446, 41781, 16391, 56186, 16446, 40883, 28201, 16446, 17879, 33514, 16392, 16392, 16410, 16582, 16650, 16467, 17085, 16446, 20108, 16397, 39177, 16391, 16392, 16410, 16582, 16650, 16467, 17085, 16397, 18341, 16446, 17888, 16391, 16467, 17085, 16446, 20108, 16397, 26439, 16391, 16435, 25051, 16446, 63310, 21421, 16392, 16395, 16604, 16399, 16395, 40936, 18092, 16446, 16426, 25675, 16446, 21066, 17879, 18144, 16446, 41781, 16395, 16640, 17085, 16446, 20108, 16392, 16410, 16582, 16582, 16650, 16467, 17085, 16397, 34818, 16397, 45158, 16391, 16392, 16410, 16582, 16476, 16582, 16582, 21395, 19710, 16446, 16643, 17105, 16446, 25037, 16391, 28247, 16400, 16405, 16446, 16467, 18509, 16395, 35613, 16400, 16405, 16446, 16467, 16712, 16395, 17794, 17371, 16407, 16446, 16467, 17046, 17105, 16392, 16604, 16474, 16582, 16650, 21285, 19073, 22932, 19521, 16604, 16412, 53321, 32601, 23488, 16410, 16582, 16650, 28247, 16400, 16405, 16446, 16467, 23432, 16410, 16582, 16650, 27541, 17788, 47400, 40704, 16395, 18821, 47400, 40704, 16410, 16582, 16582, 16650, 16736, 16604, 16391, 17611, 17105, 16604, 16413, 16412, 16604, 16399, 16392, 16604, 16474, 16604, 16398, 16398, 21875, 23488, 16582, 16696, 22500, 47400, 40704, 16604, 16412, 29038, 23667, 16397, 48907, 32601, 16806, 16391, 17611, 17105, 16392, 16410, 16582, 16696, 24938, 47400, 40704, 16604, 16412, 29038, 23667, 16397, 48907, 28408, 32601, 16806, 16391, 17611, 17105, 16392, 16410, 16582, 16650, 16476, 16582, 16386, 16736, 52182, 16446, 18743, 33124, 16446, 16417, 18525, 16582, 16650, 20565, 16980, 16604, 16391, 17611, 17105, 16604, 16412, 16412, 16751, 16446, 16417, 18525, 16392, 16604, 16474, 16582, 16696, 22500, 47400, 40704, 16604, 16412, 29038, 23667, 16397, 48907, 57977, 16391, 16392, 16410, 16582, 16696, 24938, 47400, 40704, 16604, 16412, 29038, 23667, 16397, 48907, 28408, 57977, 16391, 16392, 16410, 16582, 16650, 16476, 16582, 16386, 31317, 16604, 16398, 16398, 52182, 16446, 18743, 33124, 16446, 16417, 18525, 16582, 16386, 16736, 52182, 16446, 16435, 54777, 16446, 20260, 18759, 31689, 16582, 16650, 20565, 16980, 16604, 16391, 17611, 17105, 16604, 16412, 16412, 16751, 16446, 20260, 18759, 31689, 16392, 16604, 16474, 16582, 16696, 22500, 47400, 40704, 16604, 16412, 29038, 23667, 16397, 48907, 17822, 23749, 16391, 16392, 16410, 16582, 16696, 16386, 16736, 52182, 16446, 18743, 33124, 16446, 20260, 18759, 31689, 16582, 16696, 16650, 24938, 47400, 40704, 16604, 16412, 29038, 23667, 16397, 48907, 28408, 17822, 23749, 16391, 16392 ]
[ 0, 38194, 16604, 16474, 16386, 16466, 16400, 16476, 16582, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16582, 16582, 62347, 18155, 24231, 16769, 16641, 40228, 16834, 17889, 19419, 16673, 25424, 18651, 16715, 18308, 16395, 22143, 16395, 16674, 18269, 16755, 16834, 30951, 16604, 16391, 16442, 16415, 16417, 16407, 16444, 16392, 16397, 16875, 18150, 16395, 16873, 16769, 21022, 16715, 16804, 17097, 57751, 17161, 16641, 37299, 22005, 16671, 16647, 18155, 16674, 31771, 20562, 19134, 16395, 16850, 16728, 17027, 19522, 18651, 25486, 16674, 21747, 16673, 16647, 19487, 16443, 16390, 24296, 28565, 16397, 31338, 18155, 24231, 16769, 21772, 16672, 19680, 18783, 52020, 26647, 55952, 16721, 37186, 63692, 16395, 28215, 16880, 16683, 16748, 17040, 16395, 16674, 16664, 16892, 16642, 16604, 16391, 16442, 16415, 16417, 16400, 16401, 16444, 16392, 16741, 17204, 16741, 16685, 16960, 16642, 16604, 16391, 16442, 16415, 16417, 16403, 16404, 16444, 16392, 16397, 26934, 16748, 17040, 16395, 16647, 25544, 16604, 16391, 16400, 43608, 16403, 16392, 16396, 28580, 16396, 16419, 16396, 62001, 16657, 16395, 16704, 16667, 17889, 28073, 16674, 25201, 22825, 16673, 17490, 20618, 16674, 24745, 18155, 24231, 16604, 16391, 16442, 16415, 16417, 16400, 16403, 16444, 16392, 16397, 31338, 20618, 19819, 55072, 20299, 16674, 45644, 20282, 19487, 17437, 16647, 24745, 19819, 19522, 28073, 17564, 16671, 16647, 18509, 18416, 16460, 16674, 16647, 20282, 18370, 16604, 16391, 16442, 16415, 16417, 16403, 16401, 16444, 16410, 16604, 16442, 16415, 16417, 16404, 16404, 16444, 16392, 16397, 16582, 16582, 17071, 17154, 57653, 22372, 16395, 63692, 16704, 17796, 16671, 16703, 49272, 16767, 16647, 30285, 29993, 16809, 17053, 17793, 16820, 63692, 47729, 16954, 41013, 16944, 19881, 16673, 63692, 47729, 16954, 26513, 16604, 16391, 16418, 63761, 16392, 16604, 16391, 16442, 16415, 16417, 16401, 16405, 16444, 16392, 16397, 16772, 16604, 16393, 16418, 16659, 16416, 16393, 24507, 22366, 16671, 29993, 16396, 26306, 29921, 22287, 18161, 44574, 16954, 17797, 20448, 16604, 16391, 31488, 16396, 16401, 16392, 40665, 16604, 16391, 16442, 16415, 16417, 16403, 16402, 16444, 16392, 16397, 18708, 40665, 16769, 29781, 16809, 17142, 35057, 16604, 16391, 16416, 16674, 16738, 35057, 16392, 16944, 25450, 16647, 16759, 16395, 16759, 16395, 16674, 16759, 16395, 17695, 23995, 65168, 52176, 16395, 22358, 16604, 16391, 16442, 16415, 16417, 16403, 16399, 16444, 16392, 16397, 16772, 17092, 20282, 16604, 16393, 16418, 16659, 16416, 16393, 23273, 16763, 24228, 21766, 16815, 34096, 16395, 16809, 27862, 17073, 23078, 23286, 32616, 16604, 16391, 16442, 16415, 16417, 16402, 16404, 16444, 16392, 16397, 16875, 16604, 16393, 48668, 16699, 37816, 16393, 16395, 16767, 17965, 17567, 56824, 16416, 17242, 48758, 44607, 16809, 16647, 16604, 16393, 19231, 16418, 16659, 16416, 16400, 16393, 16395, 16604, 16393, 19231, 16418, 16659, 16416, 16402, 16393, 16395, 16674, 16917, 16673, 16647, 16604, 16393, 19231, 16418, 16659, 16416, 16405, 16393, 16396, 21670, 24507, 16604, 16391, 16393, 19231, 16418, 16659, 16416, 16401, 16393, 16395, 16604, 16393, 19231, 16418, 16659, 16416, 16404, 16393, 16395, 16604, 16393, 19231, 16418, 16659, 16416, 16405, 16393, 16395, 16785, 16604, 16393, 19231, 16418, 16659, 16416, 16408, 16393, 16392, 16769, 19062, 16715, 63692, 40254, 48544, 16672, 20618, 18155, 24231, 16395, 17437, 16604, 16393, 19231, 16418, 16659, 16416, 16403, 16393, 16395, 16604, 16393, 19231, 16418, 16659, 16416, 16406, 16393, 16395, 16674, 16604, 16393, 19231, 16418, 16659, 16416, 16407, 16393, 16769, 19062, 16715, 24745, 18155, 24231, 24261, 16604, 16391, 16442, 16415, 16417, 16403, 16407, 16444, 16410, 16604, 16442, 16415, 16417, 16401, 16407, 16444, 16392, 16397, 16875, 16741, 20194, 16604, 16391, 16393, 30272, 35946, 26195, 16748, 63180, 16393, 16392, 16395, 16647, 17567, 16604, 16393, 34546, 16418, 16659, 16416, 16400, 16393, 16395, 16604, 16393, 34546, 16418, 16659, 16416, 16401, 16393, 16395, 16674, 16604, 16393, 34546, 16418, 16659, 16416, 16402, 16393, 16769, 20349, 23078, 17560, 24745, 18155, 19819, 47042, 18509, 18416, 16460, 32113, 16604, 16391, 16442, 16415, 16417, 16400, 16407, 16444, 16392, 16397, 16604, 16393, 47968, 16418, 16659, 16416, 16393, 23273, 27353, 22130, 16721, 16604, 16393, 16418, 16659, 16416, 16401, 16393, 16763, 16641, 60750, 23273, 16715, 24745, 18155, 19819, 24261, 16604, 16391, 16442, 16415, 16417, 16401, 16402, 16444, 16392, 16397, 16604, 16442, 16415, 16417, 16402, 16402, 16444, 16807, 19628, 16721, 16647, 56639, 19923, 16674, 20825, 19335, 16673, 17567, 16862, 26693, 23845, 36939, 16604, 16393, 16418, 16659, 16416, 16393, 24507, 26489, 16873, 16769, 30491, 56932, 16671, 16647, 16604, 16393, 16418, 16659, 16416, 16393, 24507, 16672, 19152, 20170, 16874, 17413, 16944, 16704, 21022, 16715, 63692, 33319, 16672, 16647, 24745, 18155, 24231, 16397, 18708, 17586, 22738, 16721, 17213, 17567, 24507, 16604, 16393, 61944, 16418, 16659, 16416, 16400, 16393, 16395, 16604, 16393, 61944, 16418, 16659, 16416, 16401, 16393, 16395, 16674, 16604, 16393, 61944, 16418, 16659, 16416, 16402, 16393, 16807, 16992, 24053, 16671, 24745, 18509, 18416, 16460, 18356, 16672, 27106, 47072, 16874, 17413, 16604, 16393, 16431, 43513, 21447, 29486, 16393, 16397, 16604, 16442, 16415, 16417, 16400, 16400, 16444, 21852, 16721, 16647, 56276, 16673, 16604, 16393, 19231, 16418, 16659, 16416, 16401, 16393, 21099, 22660, 36820, 16672, 18155, 19819, 24261, 16674, 20338, 50063, 18332, 29944, 16721, 19684, 16671, 34420, 20282, 19134, 16674, 18356, 16397, 26713, 16395, 16604, 16442, 16415, 16417, 16400, 16400, 16444, 27392, 16721, 63692, 40254, 48544, 16763, 18964, 16715, 16647, 20338, 50063, 18332, 29944, 16397, 16999, 16704, 50939, 16721, 20338, 50063, 18332, 29944, 21846, 16641, 20927, 18814, 16672, 29737, 18155, 24023, 16674, 45747, 16725, 16397, 51778, 22562, 16395, 35857, 16672, 16604, 16393, 16418, 16659, 16416, 16393, 24507, 16769, 18365, 16671, 19260, 16673, 34237, 63692, 33319, 16397, 17544, 18185, 16395, 16604, 16393, 17089, 16448, 16404, 16398, 17089, 16448, 16405, 16393, 20639, 49967, 16958, 25541, 17805, 43384, 16604, 16391, 16442, 16415, 16417, 16400, 16402, 16444, 16392, 16395, 16641, 37394, 16672, 16604, 16393, 16418, 16659, 16416, 16405, 16393, 16604, 16396, 21670, 24507, 16604, 16391, 16393, 16418, 16659, 16416, 16401, 16393, 16395, 16604, 16393, 16418, 16659, 16416, 16404, 16393, 16395, 16674, 16604, 16393, 16418, 16659, 16416, 16408, 16392, 16393, 22130, 17097, 16641, 28479, 49494, 16604, 16391, 16442, 16415, 16417, 16403, 16400, 16444, 16410, 16604, 16442, 16415, 16417, 16406, 16444, 16392, 16674, 16604, 16393, 17089, 16448, 16401, 16398, 17089, 16448, 16405, 16398, 17089, 16448, 16408, 16393, 31553, 49967, 20332, 58863, 16827, 16757, 17854, 16604, 16391, 16442, 16415, 16417, 16402, 16405, 16444, 16392, 16397, 16582, 16582, 16393, 30272, 35946, 16393, 22372, 16769, 41364, 16674, 26311, 16396, 17436, 28851, 23047, 22766, 16734, 16641, 19609, 21559, 16672, 25886, 19391, 16604, 16391, 16442, 16415, 16417, 16401, 16403, 16444, 16392, 16397, 21861, 27156, 16674, 38355, 16673, 16950, 28089, 47682, 16395, 22355, 19134, 16395, 16674, 17785, 35085, 19101, 16807, 17366, 16604, 16393, 30272, 35946, 16393, 21703, 20969, 16641, 17204, 16396, 45613, 18528, 44745, 16715, 21135, 16472, 20282, 18147, 16604, 16391, 16442, 16415, 16417, 16402, 16444, 16410, 16604, 16442, 16415, 16417, 16405, 16444, 16410, 16604, 16442, 16415, 16417, 16404, 16401, 16444, 16392, 16397, 21604, 16647, 22072, 16673, 56824, 16416, 26513, 16769, 17204, 23954, 16672, 22372, 16604, 16391, 16442, 16415, 16417, 16401, 16444, 16392, 16395, 16914, 25998, 37859, 16671, 24187, 63692, 19378, 16395, 18839, 16672, 42526, 22766, 16395, 16872, 23622, 30447, 16397, 17544, 18185, 16395, 20124, 56086, 18324, 16673, 16604, 16393, 16418, 16659, 16416, 16393, 24507, 16872, 16804, 25901, 16672, 22818, 20282, 19134, 16672, 16604, 16393, 48668, 16699, 37816, 16393, 16395, 61543, 16395, 16674, 17863, 23112, 16604, 16391, 16442, 16415, 16417, 16404, 16403, 16444, 16410, 16604, 16442, 16415, 16417, 16400, 16408, 16444, 16410, 16604, 16442, 16415, 16417, 16403, 16406, 16444, 16392, 16397, 16875, 16811, 16985, 16395, 16647, 16604, 16393, 16463, 22477, 16400, 16401, 16400, 16409, 16418, 16659, 16416, 16401, 16393, 32675, 27280, 16763, 27609, 16674, 22204, 16671, 16647, 17863, 23112, 28448, 39850, 16604, 16385, 60229, 19073, 16407, 16408, 16404, 16385, 16604, 16391, 16393, 30272, 35946, 17637, 16928, 18302, 16393, 32317, 16604, 16393, 30272, 35946, 16693, 16713, 18948, 16675, 18599, 16393, 16392, 16604, 16393, 28019, 16393, 16647, 16604, 16393, 21926, 34604, 52856, 16396, 16393, 42669, 27026, 17434, 16397, 17119, 17494, 16721, 16604, 16393, 16431, 16460, 16418, 16659, 16416, 16401, 16393, 56086, 18324, 16672, 16604, 16393, 30272, 35946, 16393, 28817, 17073, 24745, 18155, 19819, 23175, 18998, 16741, 17204, 16741, 61754, 16674, 40632, 32975, 16397, 26869, 16673, 27732, 16674, 61754, 17586, 16674, 22635, 25989, 16673, 18155, 24231, 16672, 17333, 50012, 17863, 16459, 17533, 24483, 16641, 21777, 19800, 16604, 16393, 16431, 16460, 16418, 16659, 16416, 16401, 16393, 29703, 33620, 18184, 16734, 18155, 19819, 23175, 18998, 16397, 16582, 16582, 65433, 16674, 33486, 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, 16582, 16582, 23053, 31338, 16604, 16474, 16386, 16466, 16401, 16446, 16400, 16476, 16582, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16582, 16582, 16853, 18783, 34891, 16604, 16393, 16431, 43513, 19027, 16645, 23171, 16393, 21703, 16763, 26815, 16895, 16672, 16647, 36624, 16673, 35485, 16457, 16661, 26694, 16881, 18059, 16604, 16391, 33573, 16436, 16392, 16395, 16672, 57587, 25199, 36409, 16395, 19391, 16397, 33904, 32113, 23375, 16958, 20206, 31296, 16672, 23764, 36867, 16674, 20589, 16767, 16604, 16396, 16407, 16399, 21896, 16418, 17329, 16647, 31364, 35761, 16397, 30308, 31364, 16763, 27894, 16815, 17492, 22281, 17655, 31364, 37844, 43584, 31338, 29699, 16604, 16391, 39185, 44306, 20166, 18302, 16604, 16389, 29878, 49245, 37721, 16396, 22837, 16392, 16604, 16391, 43243, 62293, 22437, 45334, 16395, 30686, 16395, 19391, 16392, 16809, 18211, 16647, 28488, 16443, 16390, 16466, 26084, 16397, 16582, 16582, 18747, 29336, 16673, 16647, 16604, 16393, 16431, 16460, 16418, 16659, 16416, 16401, 16393, 22291, 28145, 54457, 16604, 16474, 16386, 16466, 16401, 16446, 16401, 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, 16582, 16582, 16393, 16431, 16460, 16418, 16659, 16416, 16401, 16393, 16763, 16950, 28012, 16815, 16641, 63338, 22864, 27609, 16673, 31364, 27894, 16815, 16647, 35983, 24588, 16673, 16604, 16393, 16431, 16397, 19027, 16645, 23171, 16393, 17655, 16647, 24133, 30640, 16604, 16400, 16684, 21141, 16770, 63338, 26458, 38505, 29699, 16604, 16391, 62155, 19161, 16395, 16759, 22686, 16395, 19391, 16392, 16397, 16711, 21940, 16673, 58767, 16763, 20087, 18745, 16671, 16647, 17769, 16396, 20517, 33610, 19599, 16673, 16647, 16604, 16393, 16418, 16659, 16416, 16401, 16393, 23273, 23286, 16673, 16604, 16393, 16431, 16397, 21447, 29486, 16393, 16604, 16391, 27498, 36225, 16409, 16711, 16440, 16406, 16407, 16408, 16405, 16404, 16400, 16397, 16400, 16392, 16397, 16772, 38331, 19059, 16958, 16950, 28012, 17065, 16647, 16664, 16420, 18327, 16440, 16396, 16435, 16400, 16604, 16391, 22471, 18511, 16395, 30686, 16395, 19391, 16392, 27280, 16674, 31276, 17065, 16604, 16393, 16420, 16397, 44599, 16393, 41750, 16404, 19766, 16395, 16674, 17177, 20441, 19939, 16397, 17958, 16673, 16647, 58767, 17405, 16672, 17213, 46819, 16769, 22682, 16672, 16604, 16442, 16393, 16393, 48753, 23984, 16702, 16401, 16393, 16393, 16444, 16391, 16386, 28082, 16403, 16392, 16474, 18452, 16396, 18926, 16412, 16385, 25567, 28783, 16396, 42287, 16385, 16476, 16397, 16582, 16582, 41048, 16674, 17829, 51076, 19923, 32850, 63182, 16604, 16474, 16386, 16466, 16401, 16446, 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, 16582, 16582, 16416, 18804, 16673, 16604, 16405, 16399, 62944, 56824, 16416, 22036, 29886, 16815, 19001, 20282, 20969, 16958, 35941, 17655, 16647, 17683, 16803, 16666, 16438, 16401, 16604, 16391, 16411, 19020, 16409, 16398, 16398, 18409, 16397, 17964, 16456, 16397, 16861, 16397, 18436, 16398, 54023, 16398, 16933, 16803, 16666, 16470, 16401, 16398, 21190, 16397, 20813, 16413, 16392, 16397, 16711, 56639, 19923, 21703, 16673, 56824, 17894, 22036, 17797, 18319, 16673, 16604, 16391, 16393, 48668, 16699, 37816, 16681, 22686, 16448, 16393, 16392, 16395, 16604, 16391, 16393, 16441, 29047, 16669, 16975, 16393, 16392, 16395, 16604, 16391, 16393, 16430, 16881, 19657, 19416, 25227, 16393, 16392, 16395, 16604, 16391, 16393, 16420, 17495, 20033, 16849, 16730, 19969, 16656, 16393, 16392, 16395, 16604, 16391, 16393, 29190, 20160, 40295, 22629, 16448, 16393, 16392, 16395, 16604, 16391, 16393, 30272, 35946, 16937, 16863, 58985, 18945, 16393, 16392, 16395, 16604, 16391, 16393, 16431, 16397, 21447, 29486, 16393, 16392, 16395, 16604, 16391, 16393, 16431, 43513, 31405, 17180, 16393, 16392, 16395, 16604, 16391, 16393, 16418, 51812, 16915, 16685, 16940, 16723, 17180, 16393, 16392, 16395, 16674, 16604, 16391, 16393, 16431, 16880, 16448, 18043, 31178, 16448, 16393, 16392, 16763, 27609, 16809, 16647, 21680, 16396, 54312, 18197, 17655, 16727, 24902, 16416, 16406, 16734, 16604, 16400, 16395, 16399, 16399, 16399, 18744, 36803, 16715, 16647, 27977, 38860, 19335, 16395, 16674, 16641, 16604, 16404, 16399, 16388, 59379, 18020, 16604, 16391, 16442, 16415, 16417, 16401, 16400, 16444, 16392, 16397, 16582, 16582, 16393, 21926, 34604, 52856, 16393, 16396, 24393, 29980, 54328, 16673, 16604, 16391, 16431, 16397 ]
[ 0, 16582, 16407, 16402, 16408, 16773, 16397, 23182, 16397, 16604, 16400, 16400, 16406, 16399, 16604, 16391, 16400, 16408, 16408, 16402, 16392, 16582, 21225, 44896, 42576, 18311, 16673, 18924, 16582, 16469, 16397, 16582, 16428, 25558, 16645, 16711, 16397, 33687, 30766, 16395, 35515, 16397, 16582, 21225, 44896, 42576, 18311, 16673, 18924, 16582, 16469, 16397, 16582, 38065, 17022, 16762, 16397, 33687, 30766, 16397, 16582, 21225, 44896, 42576, 18311, 16673, 18924, 16582, 16469, 16397, 16582, 23403, 18700, 20630, 16908, 16397, 43728, 16397, 16582, 21225, 44896, 42576, 18311, 16673, 18924, 16582, 16469, 16397, 16582, 43273, 16832, 16397, 16796, 21162, 25051, 17759, 16397, 16582, 21225, 44896, 42576, 18311, 16673, 18924, 16582, 16469, 16397, 16582, 20582, 20766, 16832, 16397, 24580, 24129, 16395, 23991, 16397, 16582, 21225, 44896, 42576, 18311, 16673, 18924, 16582, 16469, 16397, 16582, 54719, 16762, 16397, 16739, 64032, 16397, 16582, 21225, 44896, 42576, 18311, 16673, 18924, 16582, 16469, 16397, 16582, 34825, 16762, 16397, 20596, 28013, 16395, 35515, 16397, 16582, 16429, 16786, 16397, 16604, 16408, 16402, 16396, 16399, 16399, 16401, 16403, 16426, 16671, 16604, 16408, 16402, 16396, 16399, 16399, 16401, 16406, 16426, 16395, 16604, 16408, 16402, 16396, 16399, 16399, 16402, 16403, 16426, 16395, 16604, 16408, 16402, 16396, 16399, 16399, 16402, 16405, 16426, 16674, 16604, 16408, 16402, 16396, 16399, 16399, 16403, 16400, 16426, 16397, 16582, 32384, 18644, 21599, 19758, 16395, 16759, 16397, 28682, 16397, 16582, 30867, 16604, 16400, 16401, 16395, 16604, 16400, 16408, 16408, 16402, 16397, 16582, 46007, 17022, 16711, 16397, 35009, 16750, 31504, 16395, 16876, 16397, 16434, 16397, 18073, 17098, 16397, 16395, 16674, 21623, 21902, 16395, 17376, 16684, 16397, 16876, 16397, 16434, 16397, 18073, 17098, 16397, 16395, 16715, 16759, 16397, 28682, 16395, 30631, 16395, 25504, 16395, 16715, 16876, 16397, 16434, 16397, 16582, 43273, 16702, 16397, 24911, 16461, 17475, 16395, 38218, 16395, 31581, 16395, 16715, 45931, 16832, 16397, 17937, 17484, 16395, 23991, 16397, 16582, 22638, 16778, 16397, 38449, 16395, 61588, 16395, 25504, 16395, 16715, 25517, 16832, 16397, 16796, 19860, 16645, 16397, 16582, 19315, 16977, 38370, 21737, 16764, 16783, 16397, 16582, 16582, 55423, 18092, 23849, 22598, 21828, 64361, 16582, 16426, 18732, 17681, 16395, 18303, 18644, 20981, 49059, 27735, 16397, 16582, 18301, 19160, 16604, 16401, 16399, 16395, 16604, 16400, 16408, 16408, 16402, 16395, 38370, 25273, 30294, 16711, 16397, 16759, 17356, 16395, 35515, 16397, 16395, 31159, 16762, 16397, 16759, 17356, 16395, 57605, 16908, 16397, 24334, 16395, 25517, 16832, 16397, 16796, 19860, 16645, 16395, 45931, 16832, 16397, 17937, 17484, 16395, 23991, 16395, 31535, 16762, 16397, 23191, 16395, 16674, 21779, 16762, 16397, 27536, 16395, 35515, 16397, 16604, 16393, 16400, 16400, 16406, 16400, 16604, 16442, 16385, 18280, 34971, 16385, 16444, 16958, 28801, 32962, 19019, 26229, 56816, 20242, 19085, 19451, 56816, 16709, 16647, 19329, 18365, 16741, 43649, 24626, 26391, 16604, 16442, 16385, 17347, 20485, 16385, 16444, 20186, 16672, 24496, 28068, 19044, 16395, 28682, 16397, 16772, 31115, 16763, 44164, 16809, 20968, 16673, 16647, 16876, 16397, 16434, 16397, 32797, 16674, 36626, 21082, 16604, 16442, 16385, 18763, 16421, 29019, 16385, 16444, 16397, 16772, 38370, 16395, 16674, 18208, 16395, 16442, 16400, 16444, 16958, 23057, 16734, 19001, 32842, 16673, 16647, 16727, 20729, 19019, 33376, 42090, 18899, 16604, 16442, 16385, 28673, 22238, 16385, 16444, 16395, 16604, 16400, 16405, 16876, 16397, 16434, 16397, 16418, 16397, 16604, 25660, 25660, 16604, 16406, 16399, 16402, 16396, 16406, 16400, 16400, 16397, 38403, 16395, 16858, 38370, 16958, 23057, 16734, 18625, 16785, 29262, 16671, 17391, 32962, 19019, 17969, 16453, 43152, 16734, 16647, 22903, 16673, 41811, 16397, 21125, 16604, 16404, 16399, 51653, 16604, 25660, 16604, 16401, 16399, 16397, 16401, 16400, 16391, 16456, 16392, 16397, 62578, 16796, 19860, 16645, 16674, 17937, 17484, 16958, 17027, 23057, 16734, 16641, 19982, 16674, 16836, 55833, 16647, 18625, 16785, 27482, 18625, 16673, 32962, 19019, 17969, 16453, 43152, 16734, 16647, 22903, 16673, 41811, 16397, 22233, 16397, 56176, 17937, 17484, 16763, 44878, 23057, 16734, 18625, 16785, 29262, 16671, 17391, 32962, 19019, 26229, 17437, 53850, 17474, 19999, 16397, 21125, 16604, 16404, 16399, 51653, 16604, 25660, 16604, 16401, 16399, 16397, 16401, 16400, 16391, 16457, 16392, 16397, 16582, 19315, 38370, 35514, 16604, 16385, 19659, 18569, 24216, 16395, 16385, 16674, 61380, 16914, 17262, 16671, 16641, 21459, 16395, 25926, 16674, 46930, 17329, 16641, 20991, 22948, 16397, 16711, 25371, 21459, 16709, 16858, 22834, 16763, 22546, 17329, 16647, 33606, 20261, 16709, 18936, 16604, 16401, 16401, 16396, 16401, 16402, 16395, 16604, 16400, 16408, 16408, 16402, 16397, 62578, 16796, 19860, 16645, 16674, 17937, 17484, 16958, 24398, 16809, 24221, 16397, 17958, 16977, 38370, 61380, 16914, 17262, 16671, 24221, 16397, 18916, 16647, 24595, 16673, 19591, 16674, 25763, 24686, 16809, 24221, 16674, 16647, 16764, 16783, 38370, 16395, 16811, 19758, 18939, 16647, 18798, 17242, 17422, 16915, 16397, 17170, 56468, 44816, 16674, 25997, 39510, 16647, 19758, 16390, 16466, 23806, 16673, 17551, 16674, 32458, 16673, 17780, 16397, 16582, 16582, 16421, 18513, 21653, 16582, 16582, 16400, 16408, 16404, 16407, 16396, 16400, 16408, 16408, 16401, 16582, 18377, 16704, 17324, 17028, 17369, 29844, 18493, 16647, 21588, 26026, 16647, 19811, 16709, 43649, 24626, 26391, 16442, 16401, 16444, 16715, 16641, 17679, 16673, 17202, 19868, 16903, 16671, 16647, 18618, 16673, 16604, 16400, 16408, 16408, 16401, 16397, 16582, 16853, 22051, 16604, 16403, 16399, 16399, 44331, 20485, 16763, 24469, 16809, 34339, 16828, 16830, 16397, 40232, 17017, 16604, 16442, 16385, 34658, 16385, 16785, 16604, 16385, 16430, 16470, 17017, 16385, 16444, 16672, 16604, 16400, 16408, 16404, 16407, 16397, 16442, 16402, 16444, 22191, 16647, 56227, 17202, 25935, 17366, 22652, 27111, 16671, 16647, 17446, 22510, 16671, 37820, 32962, 19019, 17969, 16453, 43152, 16671, 22417, 25385, 16709, 16647, 19329, 16397, 28235, 16709, 16733, 19361, 29877, 20242, 19085, 19451, 16672, 16667, 18124, 24137, 16888, 17616, 16674, 16647, 60756, 49941, 19141, 16397, 40232, 17017, 22395, 16672, 16888, 17547, 16395, 16944, 16763, 19517, 16672, 16604, 16400, 16408, 16408, 16399, 16409, 16582, 18377, 16704, 17028, 18283, 16721, 16742, 17134, 16647, 17396, 20242, 19085, 19451, 16987, 17135, 16987, 16397, 28686, 18469, 16395, 17014, 16742, 16958, 29079, 17160, 16811, 24734, 16395, 16873, 16961, 26719, 16672, 16647, 18618, 16674, 17920, 16672, 16647, 23482, 16785, 16709, 16647, 31138, 16785, 16854, 17065, 16647, 18676, 16395, 16850, 16728, 16961, 16703, 18295, 19105, 17329, 16873, 16961, 28780, 21396, 17038, 35359, 16397, 17376, 17202, 20493, 16395, 16873, 16961, 17659, 21396, 16647, 35359, 18977, 17135, 16873, 22841, 16397, 16582, 21382, 16397, 17812, 16455, 16397, 16604, 16402, 16767, 16604, 16404, 16400, 16397, 16582, 16424, 17045, 17811, 16721, 16647, 17396, 19085, 19451, 17659, 21396, 16647, 35359, 17155, 17386, 16397, 17513, 16843, 16703, 21766, 16809, 16914, 25197, 24429, 26312, 16397, 17119, 17337, 16647, 20246, 16709, 16647, 26312, 16674, 17556, 17007, 16671, 16647, 19542, 16673, 16647, 40672, 16672, 20059, 16395, 16929, 50882, 16907, 17014, 16674, 17187, 16647, 19085, 19451, 16958, 19692, 16665, 16397, 16772, 22322, 20246, 18288, 16641, 22551, 18344, 16709, 17038, 25539, 24178, 16397, 16582, 19157, 16397, 16767, 16604, 16404, 16401, 16397, 25935, 40232, 17017, 20101, 16888, 19811, 16734, 19130, 16671, 17279, 22578, 32962, 19019, 17969, 16453, 43152, 16671, 16888, 19329, 16741, 16641, 16604, 16385, 38339, 16694, 18773, 29877, 17632, 16397, 16385, 17046, 16763, 17027, 18730, 16671, 25229, 16721, 16647, 16604, 16393, 16400, 16400, 16406, 16401, 26229, 16709, 16888, 19329, 16958, 59058, 17560, 16647, 26945, 25279, 16397, 16582, 18867, 40232, 17017, 16763, 20426, 16672, 16888, 17670, 16671, 21174, 20242, 19085, 19451, 16671, 16888, 20485, 16763, 17179, 27840, 16671, 16809, 18295, 32410, 16397, 21043, 16762, 16397, 16790, 43766, 16395, 16641, 18321, 22688, 16398, 16463, 41915, 16734, 17824, 16421, 29019, 41190, 16721, 16888, 17797, 21611, 16709, 43649, 24626, 26391, 16672, 16647, 16604, 16400, 16408, 16404, 16399, 16466, 17329, 40232, 17017, 24469, 16728, 16397, 17046, 22039, 16721, 17608, 16604, 16400, 16408, 16407, 16403, 16733, 16872, 22929, 20242, 19085, 19451, 38138, 16672, 16647, 16604, 16385, 36014, 18124, 16385, 17473, 40232, 17017, 16390, 17616, 16674, 16647, 49941, 19141, 16397, 20956, 16647, 17367, 17910, 17202, 16647, 24734, 16673, 20242, 19085, 19451, 16709, 16647, 20485, 16872, 24054, 20580, 18745, 16671, 16790, 43766, 16397, 17046, 16872, 25569, 19469, 16647, 19329, 16709, 22051, 18514, 30775, 17030, 16647, 17367, 18514, 17202, 16397, 21937, 16671, 21043, 16793, 16397, 25731, 16395, 24538, 16397, 16395, 16641, 17780, 24877, 21871, 16734, 16647, 28682, 19542, 16673, 28086, 27328, 16604, 16442, 16385, 16419, 35586, 16385, 16444, 16395, 17030, 16647, 18074, 17589, 17202, 16986, 16872, 16992, 16641, 18122, 17679, 16673, 20242, 19085, 19451, 16709, 40232, 17017, 16390, 20485, 16741, 25359, 16671, 16977, 33520, 16672, 16647, 18124, 16397, 16772, 20770, 24734, 16673, 26229, 16872, 16992, 16672, 16647, 43215, 16673, 16647, 40232, 17017, 28468, 16674, 16672, 16647, 61295, 18184, 43649, 24626, 21417, 16397, 43409, 16799, 16397, 22828, 16665, 30511, 16395, 16641, 27011, 16759, 35586, 21871, 16929, 16704, 22445, 16734, 16647, 20485, 16395, 17027, 24483, 16721, 16647, 20485, 17686, 16955, 16641, 18122, 24734, 16673, 20242, 19085, 19451, 17014, 19739, 16671, 16647, 24137, 33520, 16397, 28106, 16395, 17014, 22828, 16665, 30511, 16763, 18666, 16809, 16888, 18445, 26943, 16672, 16604, 16400, 16408, 16406, 16404, 16715, 16641, 29896, 16673, 16641, 17617, 17187, 16647, 21648, 17120, 36220, 16674, 19692, 18122, 20246, 16673, 20242, 19085, 19451, 16395, 16888, 29896, 16763, 43649, 24626, 26391, 16397, 16582, 17071, 16888, 17547, 16395, 40232, 17017, 19619, 16409, 16604, 16385, 17507, 35283, 33099, 16715, 19085, 19451, 16674, 28986, 29938, 24468, 16815, 16647, 17386, 19085, 19451, 17092, 22841, 16672, 19191, 18015, 16647, 17367, 19528, 17939, 16672, 18932, 16397, 16385, 30343, 16390, 16467, 17812, 16455, 16397, 17933, 16397, 16604, 16408, 16767, 16604, 16400, 16408, 16399, 16604, 16391, 16746, 51325, 30901, 16392, 16397, 17170, 19591, 16673, 18074, 29877, 16673, 20242, 19085, 19451, 16709, 16647, 20485, 16763, 59491, 16895, 16809, 16647, 30013, 16673, 18295, 32410, 16397, 25137, 25731, 16763, 16709, 16647, 20485, 16672, 19293, 16604, 16400, 16408, 16407, 16408, 16674, 22939, 25935, 16674, 18208, 20790, 18295, 18514, 47860, 59022, 16673, 29938, 17473, 16888, 18287, 16397, 21937, 16671, 25731, 16395, 16647, 19085, 19451, 34204, 16858, 16647, 29938, 17437, 16733, 16763, 22303, 16986, 16397, 30381, 16799, 16397, 17385, 45405, 16395, 16929, 19333, 19261, 16672, 16647, 49941, 18287, 16395, 16704, 22445, 16734, 16647, 30534, 16673, 29938, 16709, 16647, 20485, 16397, 17046, 41190, 16721, 29938, 16763, 16604, 16385, 43550, 16385, 17646, 16709, 16647, 40232, 17017, 16390, 35359, 16785, 17021, 16647, 40568, 16944, 16911, 20537, 17516, 16914, 28468, 16397, 16875, 16647, 20227, 16395, 16728, 16763, 17097, 59022, 16673, 29938, 16395, 16850, 16715, 16647, 18074, 18295, 17202, 25935, 18358, 17655, 16641, 20790, 16646, 16397, 16772, 30920, 16763, 17646, 16891, 18546, 17155, 17386, 16397, 25935, 17366, 16647, 19270, 16741, 16671, 17014, 16674, 17187, 16671, 20790, 16647, 20013, 16397, 17385, 45405, 24483, 16721, 16733, 20683, 40232, 17017, 17646, 16647, 20013, 16891, 16903, 18015, 16604, 16400, 16408, 16408, 16401, 16397, 56176, 17937, 17484, 41190, 16721, 16733, 16955, 20683, 40232, 17017, 20790, 30920, 16674, 16395, 44878, 16955, 18666, 30212, 16796, 19860, 16645, 16671, 17261, 17014, 25935, 19262, 23750, 16671, 16829, 16728, 19204, 16397, 21937, 16671, 17937, 17484, 16931, 17567, 17433, 18808, 16466, 16785, 16604, 16400, 16405, 16399, 26568, 16673, 29938, 16958, 20790, 17155, 17386, 16397, 16582, 18377, 16763, 30013, 16815, 18295, 32410, 16721, 17030, 16647, 17202, 40232, 17017, 16763, 27837, 16709, 18295, 30775, 16721, 16733, 17208, 16804, 16703, 29877, 17560, 16647, 19001, 28801, 25279, 16397, 35652, 16790, 43766, 17031, 16721, 17490, 46398, 31661, 16674, 31535, 54802, 17392, 16442, 16403, 16444, 18151, 25935, 16804, 16671, 20790, 29938, 16672, 16647, 18801, 18676, 17187, 16733, 16763, 21791, 16728, 16397, 16875, 18150, 16395, 16709, 16767, 17965, 16917, 23486, 16395, 16790, 43766, 17031, 54802, 17392, 18200, 23375, 16673, 29938, 16815, 16647, 17969, 17473, 16647, 40232, 17017, 16390, 19329, 16674, 23057, 25935, 16734, 29157, 16673, 16647, 35380, 22238, 16397, 43409, 22828, 16665, 30511, 17027, 41190, 16671, 16641, 27825, 22094, 16733, 16955, 16734, 25935, 16672, 16604, 16400, 16408, 16407, 16406, 16397, 21937, 16671, 22828, 16665, 30511, 16395, 16733, 18151, 40232, 17017, 16604, 16385, 16442, 16456, 16444, 16453, 16732, 16769, 17395, 16671, 20013, 17560, 16647, 28801, 18217, 16721, 16390, 16466, 30094, 16671, 20478, 16674, 17731, 24055, 16397, 16999, 16390, 16466, 23872, 16397, 16385, 22828, 16665, 30511, 17027, 41190, 16721, 16733, 17579, 17494, 16998, 29938, 17560, 28801, 25279, 16397, 21808, 20681, 30094, 16671, 17213, 32410, 16763, 30212, 17937, 17484, 16929, 23215, 16721, 20478, 16651, 27209, 24978, 16647, 20485, 17259, 18032, 16815, 16604, 16400, 16408, 16405, 16401, 16671, 16604, 16400, 16408, 16408, 16401, 16397, 17513, 25865, 38188, 16395, 42312, 16466, 16395, 22798, 24727, 16395, 19104, 16397, 16395, 16674, 17579, 17366, 16998, 16604, 16385, 16828, 35412, 16385, 16931, 28801, 17030, 41811, 16397, 16582, 47138, 16986, 16958, 28984, 16815, 17310, 16804, 19423, 16734, 16647, 20485, 16721, 16647, 20485, 16763, 17255, 32288, 17292, 16397, 30381, 17385, 45405, 41190, 16721, 16733, 19151, 28984, 16673, 41811, 16661, 17560, 16647, 17711, 16987, 16721, 16647, 20790, 16646, 16763, 17405, 16671, 16952, 65212, 16647, 29938, 16397, 17824, 16421, 29019, 35652, 21394, 16700, 16397, 16908, 22011, 16729, 41190, 16721, 16733, 16955, 19151, 28984, 16931, 16647, 20485, 16674, 18230, 41811, 16661, 16741 ]
[ 0, 16385, 21386, 16732, 16390, 16644, 16994, 16804, 18668, 16891, 16715, 16647, 20597, 17598, 16397, 16385, 16604, 16385, 16687, 17727, 16390, 16467, 17322, 27266, 16641, 17830, 16397, 16385, 16604, 16385, 16687, 16390, 16690, 17497, 16767, 17965, 17567, 32410, 16397, 16385, 16604, 16385, 23687, 16397, 16385, 16604, 16385, 19276, 18666, 16848, 16671, 18062, 16641, 19855, 16395, 16986, 16958, 17142, 16395, 16687, 17727, 16390, 16467, 17039, 16397, 16385, 16604, 16385, 33061, 16395, 17811, 16397, 16385, 16604, 16385, 16424, 17133, 16728, 16390, 16466, 19496, 16671, 17335, 16742, 19296, 16732, 16641, 19999, 16397, 16385, 16604, 16385, 36840, 16887, 30709, 16671, 16912, 19082, 16397, 16385, 16604, 16385, 22414, 16732, 17652, 16968, 16414, 16385, 16604, 16385, 17673, 16763, 16641, 17301, 17005, 18469, 16397, 16385, 16604, 16385, 19315, 17262, 16395, 20586, 16397, 16385, 16604, 16385, 20119, 16887, 21275, 16397, 16385, 16604, 16385, 18001, 16390, 16683, 17579, 18360, 16929, 16872, 16992, 51675, 16848, 16858, 17386, 16397, 16385, 16604, 16385, 16424, 18151, 17107, 16395, 16687, 19108, 17966, 16671, 17107, 17437, 16687, 16390, 16460, 16767, 16985, 16395, 16733, 16390, 16466, 16945, 16395, 19353, 16858, 49885, 16980, 16687, 16390, 16460, 16804, 51675, 17107, 17141, 16397, 16385, 16604, 16385, 17611, 16390, 16466, 17274, 16641, 18697, 16397, 16385, 16604, 16385, 18419, 16647, 20777, 51626, 17158, 16395, 16742, 17137, 16647, 20187, 16673, 16641, 21012, 43572, 37228, 16395, 16674, 16641, 17295, 30889, 16661, 29981, 16397, 16385, 16604, 16385, 21394, 16390, 16466, 22897, 16641, 17746, 24605, 16397, 16385, 16604, 16385, 17046, 27529, 53427, 17851, 16732, 17660, 16390, 16467, 16703, 21996, 17915, 16709, 16998, 17719, 43481, 16397, 16385, 16604, 16385, 17409, 32559, 16647, 17158, 16715, 30694, 16725, 16397, 16385, 16604, 16385, 17332, 16390, 16644, 17395, 16671, 17882, 17107, 16641, 19489, 16397, 16385, 16604, 16385, 23638, 17746, 16414, 16385, 16604, 16385, 46746, 16945, 37380, 36086, 17121, 16390, 16467, 16994, 17299, 16903, 16397, 16385, 16604, 16385, 19537, 16390, 16644, 16804, 19303, 16815, 16647, 16969, 16854, 16397, 16385, 16604, 16385, 16424, 16807, 16671, 18168, 27169, 16397, 16385, 16604, 16385, 17119, 16390, 16644, 53081, 17244, 16414, 16385, 16604, 16385, 16434, 25305, 20494, 43343, 16674, 41137, 28666, 18109, 16903, 16912, 19464, 16397, 16385, 16604, 16385, 17119, 16843, 16390, 16467, 18784, 18392, 25447, 24237, 16397, 16385, 16604, 16385, 17507, 16807, 16671, 16703, 23475, 22142, 16734, 18102, 16395, 48815, 16397, 16385, 16604, 16385, 17376, 17301, 16741, 16647, 20246, 16709, 16647, 21387, 16673, 16647, 20241, 17298, 16734, 16395, 16734, 16641, 16397, 16397, 16397, 16385, 16604, 16385, 18855, 16390, 16467, 16732, 28630, 18053, 25972, 16414, 16385, 16604, 16385, 16687, 17820, 25972, 18120, 16397, 16385, 16604, 16385, 17332, 17132, 16414, 16385, 16604, 16385, 23852, 16414, 16385, 16604, 16385, 17813, 16647, 20934, 16397, 16385, 16604, 16385, 17332, 23694, 16671, 16991, 19475, 16709, 16647, 20934, 16414, 16385, 16604, 16385, 17544, 17030, 16667, 20347, 16397, 16385, 16604, 16385, 32336, 16945, 16641, 19475, 16734, 17005, 16709, 16888, 19531, 16397, 16385, 16604, 16385, 17046, 16872, 16641, 17980, 16397, 16385, 16604, 16385, 22414, 16732, 17882, 17107, 16912, 17679, 16414, 16385, 16604, 16385, 17046, 16390, 16466, 16667, 21909, 16395, 16733, 16390, 16466, 21439, 16397, 16385, 16604, 16385, 22414, 16733, 17704, 16715, 16912, 17679, 16414, 16385, 16604, 16385, 16687, 16390, 16460, 21848, 17134, 17107, 17244, 16397, 16385, 16604, 16385, 17813, 16647, 20934, 16397, 16385, 16604, 16385, 20648, 16397, 16385, 16604, 16385, 18662, 17882, 32441, 16390, 16466, 17746, 16641, 19489, 16397, 16385, 16604, 16385, 17332, 16390, 16690, 16992, 27169, 16397, 16385, 16604, 16385, 17513, 16390, 16644, 16804, 21583, 16397, 16385, 16604, 16385, 17674, 17132, 16873, 16969, 17348, 16414, 16385, 16604, 16385, 17674, 17132, 16732, 16969, 25937, 16414, 16385, 16604, 16385, 17887, 17132, 55863, 17921, 16732, 16414, 16385, 16604, 16385, 17960, 16687, 19339, 16728, 16815, 16732, 16414, 16385, 16604, 16385, 17119, 17727, 16390, 16467, 16969, 18184, 16859, 17204, 16397, 16385, 16604, 16385, 17887, 17257, 16721, 17881, 16395, 16641, 16947, 16395, 16641, 19099, 16414, 16385, 16604, 16385, 17887, 17132, 55863, 17921, 16732, 16414, 16385, 16604, 16385, 17907, 16687, 19339, 16728, 16815, 16732, 16414, 16385, 16604, 16385, 17614, 16763, 40119, 16887, 17005, 16397, 16385, 16604, 16385, 35717, 16390, 16467, 16732, 16969, 20164, 16809, 16647, 20347, 16414, 16385, 16604, 16385, 17614, 19576, 43893, 16848, 16397, 16385, 16604, 16385, 17887, 17132, 16732, 17324, 17335, 16414, 16385, 16604, 16385, 16687, 17031, 16395, 16604, 16385, 21202, 16414, 16385, 16385, 16604, 16385, 18377, 16958, 17142, 27696, 16395, 16687, 17727, 16390, 16467, 17039, 16395, 16944, 16414, 16385, 16604, 16385, 23537, 24605, 16414, 16385, 16604, 16385, 16999, 16390, 16466, 21312, 16721, 16732, 22054, 16671, 16848, 16397, 16385, 16604, 16385, 16999, 16390, 16466, 16804, 16887, 24072, 16395, 55863, 17031, 16687, 16390, 16460, 16994, 16804, 18668, 16891, 16715, 16647, 20597, 17598, 16397, 16385, 16604, 16385, 17887, 16395, 17132, 16873, 22572, 17107, 16721, 16672, 19083, 17613, 16414, 16385, 16604, 16385, 20648, 16395, 16687, 18666, 17107, 16397, 16385, 16604, 16385, 19459, 20476, 16395, 18723, 16700, 16909, 16390, 16466, 16397, 16385, 16604, 16385, 22409, 16390, 16451, 16732, 16969, 16728, 16414, 16385, 16604, 16385, 17360, 18787, 16395, 16887, 58905, 16397, 16385, 16604, 16385, 36640, 16395, 19600, 16414, 16385, 16604, 16385, 20119, 16395, 16732, 16390, 16690, 35553, 17348, 17329, 16395, 16687, 17039, 16732, 17121, 16390, 16467, 24816, 16397, 16385, 16604, 16385, 16687, 16763, 19395, 16687, 17120, 18784, 17348, 24605, 16395, 16385, 16604, 16385, 16424, 17881, 16395, 16742, 17120, 18520, 19660, 16395, 16647, 17142, 16673, 16907, 16397, 16385, 16604, 16385, 16687, 16390, 16460, 17395, 16891, 16397, 16385, 16604, 16385, 16772, 21274, 16414, 16385, 16604, 16385, 16711, 17746, 16397, 16385, 16604, 16385, 19907, 17121, 16390, 16467, 16732, 16994, 17322, 17107, 16912, 19346, 16414, 16385, 16604, 16385, 19907, 17121, 16390, 16467, 16732, 16854, 20647, 16912, 23423, 16397, 16385, 16604, 16385, 16687, 17120, 18760, 16903, 16397, 16385, 16604, 16385, 17332, 17039, 16395, 16986, 16390, 16466, 16641, 18188, 16732, 17121, 16390, 16467, 18209, 17348, 16397, 16385, 16604, 16385, 17887, 16390, 16466, 16721, 16414, 16385, 16604, 16385, 19907, 17121, 16390, 16467, 16732, 16854, 20647, 16912, 23423, 16397, 16385, 16604, 16385, 17933, 16922, 20805, 16395, 18176, 16397, 16385, 16604, 16385, 17465, 16395, 16687, 16390, 16460, 21234, 16671, 17839, 16912, 22959, 16715, 16732, 16414, 16385, 16604, 16385, 18001, 17133, 16732, 16807, 16641, 17262, 16671, 16721, 16414, 16385, 16604, 16385, 24151, 17007, 16397, 16385, 16604, 16385, 17513, 16390, 16644, 16804, 17199, 21583, 16397, 16385, 16604, 16385, 34680, 16647, 19783, 16709, 16912, 17210, 16891, 16397, 16385, 16604, 16385, 21394, 17348, 16390, 16466, 16647, 17514, 16397, 16385, 16604, 16385, 20119, 16395, 23723, 25445, 16397, 16385, 16604, 16385, 17294, 16687, 17156, 16647, 27390, 16395, 16687, 16390, 16460, 16647, 59160, 16715, 16647, 19692, 16397, 16385, 16604, 16385, 21366, 16395, 16733, 16390, 16466, 16647, 17514, 59160, 16397, 16385, 16604, 16385, 46859, 16397, 16385, 16604, 16385, 16853, 30474, 16704, 29235, 16395, 18594, 16390, 16466, 17395, 31141, 16397, 16385, 16604, 16385, 19537, 16390, 16644, 17395, 22706, 16397, 16385, 16604, 16385, 17294, 17177, 16873, 26039, 16709, 20041, 16674, 16873, 16854, 25209, 16395, 16721, 16390, 16466, 16647, 22708, 40819, 16395, 22708, 40819, 18021, 16397, 16385, 16604, 16385, 20119, 16395, 23740, 16395, 17178, 16742, 16390, 16644, 24820, 19341, 16397, 16385, 16604, 16385, 31057, 16395, 16994, 17361, 19693, 16397, 16385, 16604, 16385, 20119, 16395, 31286, 16709, 20041, 16397, 16385, 16604, 16385, 16772, 17585, 16855, 18526, 16672, 16395, 16647, 17585, 16855, 16390, 16466, 17177, 16945, 16647, 17736, 16395, 16945, 16647, 20594, 16395, 16674, 16732, 16390, 16644, 16859, 63457, 16397, 16385, 16604, 16385, 17332, 16390, 16644, 17324, 20104, 16395, 16732, 17039, 16721, 16414, 16385, 16604, 16385, 16687, 16807, 16641, 17324, 25628, 50962, 45462, 16397, 16385, 16604, 16385, 28772, 16395, 20586, 16395, 16887, 17830, 16704, 34526, 16395, 16385, 16604, 16385, 16424, 17497, 16641, 17322, 16815, 16912, 19082, 18884, 16732, 17699, 16703, 18183, 16715, 16985, 16397, 16385, 16604, 16385, 21127, 17121, 16390, 16467, 16732, 16397, 16385, 16604, 16385, 23002, 19082, 17031, 16732, 17324, 20730, 17719, 17047, 16395, 16704, 16721, 18159, 16395, 20586, 16414, 16385, 16604, 16385, 17332, 16807, 16641, 17563, 16673, 22125, 16397, 16385, 16604, 16385, 16751, 16460, 16395, 16721, 16390, 16466, 18530, 16397, 16385, 16604, 16385, 18001, 17134, 17310, 16414, 16385, 16604, 16385, 27943, 16769, 17769, 16673, 22125, 16673, 16848, 16674, 16887, 21350, 18711, 17030, 16647, 17202, 16397, 16385, 16604, 16385, 23741, 16673, 17038, 21350, 16769, 17719, 16660, 60295, 16395, 17719, 17020, 21714, 16756, 16395, 17486, 17600, 16395, 16862, 17003, 16782, 16397, 16385, 16604, 16385, 16424, 19601, 16390, 16467, 24238, 18519, 16647, 17047, 16672, 17213, 22125, 17172, 16721, 16390, 16466, 16647, 17097, 17005, 16873, 18021, 30816, 16397, 16385, 16604, 16385, 27943, 16769, 16647, 19528, 16721, 17881, 16647, 17154, 16671, 16848, 16397, 16385, 16604, 16385, 18001, 17324, 16807, 16671, 17652, 17719, 17047, 16671, 16985, 16672, 16811, 18676, 16397, 16385, 16604, 16385, 16687, 17121, 16390, 16467, 17133, 16687, 16390, 16451, 16703, 17348, 18120, 17714, 17719, 17047, 16397, 16385, 16604, 16385, 17332, 16390, 16644, 16804, 17324, 18668, 16891, 16715, 16811, 17598, 16397, 16385, 16604, 16385, 17673, 16390, 16466, 22490, 16395, 17154, 17047, 18760, 16671, 18970, 16848, 17329, 16873, 17921, 16848, 16721, 16397, 16385, 16604, 16385, 20361, 17047, 16769, 16994, 18183, 16671, 22748, 16914, 19337, 16741, 19325, 16741, 18230, 16397, 16385, 16604, 16385, 17332, 16674, 16887, 18176, 29136, 16395, 43029, 16414, 16385, 16604, 16385, 16711, 17301, 17005, 18469, 17049, 23545, 16887, 18544, 16397, 16385, 16604, 16385, 21366, 16414, 16385, 16604, 16385, 21366, 16395, 16687, 16763, 22924, 16671, 19339, 16815, 16968, 16397, 16385, 16604, 16385, 16999, 16390, 16466, 17324, 17536, 18118, 17014, 16873, 24394, 16395, 43029, 16414, 16385, 16604, 16385, 21366, 16395, 16728, 16704, 16397, 16385, 16604, 16385, 21386, 16687, 17120, 17882, 16728, 16641, 17590, 16397, 16385, 16604, 16385, 17170, 16704, 41056, 20059, 22864, 16395, 17731, 16674, 23835, 27006, 16826, 16397, 16385, 16604, 16385, 52402, 16671, 18901, 16395, 20939, 16395, 33137, 16674, 25446, 18089, 31212, 17348, 16767, 20059, 22864, 16395, 17731, 16674, 23835, 27006, 16826, 16397, 16385, 16604, 16385, 19930, 17035, 25763, 16397, 16385, 16604, 16385, 52402, 16671, 16397, 16397, 16397, 16385, 16604, 16385, 17635, 16704, 16667, 29288, 18089, 20934, 16671, 59090, 16397, 16385, 16604, 16385, 30689, 16397, 16385, 16604, 16385, 31201, 17616, 16397, 16385, 16604, 16385, 28772, 16397, 16385, 16604, 16385, 18260, 16732, 17039, 16721, 32441, 16674, 16687, 16807, 16992, 18226, 16715, 16641, 17589, 17202, 17178, 16395, 16687, 17881, 16709, 16674, 17021, 16395, 16850, 17178, 16742, 16769, 17141, 16709, 17244, 16395, 16674, 16687, 16390, 16460, 26485, 16397, 16385, 16604, 16385, 18419, 16641, 20915, 16414, 16385, 16604, 16385, 17119, 16958, 18119, 20985, 16395, 16687, 17881, 16811, 17120, 16703, 16887, 17367, 19489, 16671, 16829, 16811, 16395, 16674, 16687, 16843, 16390, 16467, 21458, 16728, 16395, 16732, 16994, 17134, 17578, 16385, 16604, 16385, 16451, 24475, 25319, 17014, 16728, 20778, 16671, 16732, 16397, 16385, 16604, 16385, 16687, 19769, 16687, 19601, 16390, 16467, 17039, 16397, 16385, 16604, 16385, 33466, 16395, 16687, 17881, 16395, 16687, 17109, 16671, 17190, 16991, 19029, 16397, 16385, 16604, 16385, 40012, 16414, 16385, 16604, 16385, 19845, 16395, 16742, 16390, 16644, 21848, 16703, 20069, 16672, 18226, 16674, 16742, 16390, 16644, 21848, 17109, 16641, 17711, 29428, 16397, 16385, 16604, 16385, 17332, 16390, 16644, 20069, 16891, 16673, 17038, 24853, 16414, 16385, 16604, 16385, 21366, 16395, 16687, 17039, 16721, 16811, 16872, 16992, 17038, 24853, 16395, 16850, 17092, 16728, 16763, 21583, 16395, 16687, 17881, 16687, 16763, 17348, 17092, 16397, 16385, 16604, 16385, 16424, 16390, 16460, 16709, 16647, 30887, 16397, 16385, 16604, 16385, 17403, 16732, 16390, 16644, 16647, 16917, 16929, 18467, 16922, 18692, 16397, 16385, 16604, 16385, 19845, 16395, 16687, 17881, 16395, 16986, 16390, 16466, 17028, 17109, 16671, 26039, 16395, 16742, 17363, 16807, 17005, 16397, 16385, 16604, 16385, 18196, 17132, 16732, 17921, 32441, 16414, 16385, 16604, 16385, 17119, 16390, 16690, 18365, 16931, 16641, 17649, 16397, 16385, 16604, 16385, 17673, 16390, 16466, 16994, 16647, 16977, 18097, 16397, 16385, 16604, 16385, 16772, 16977, 18097, 16414, 16385, 16604, 16385, 16687, 16763, 17395, 16671, 16647, 28718, 16674, 16733, 23210, 16672, 16674, 17177, 17014, 16687, 18112, 16891, 16395, 16732, 17039, 17016, 16395, 21739, 16728, 16397, 16385, 16604, 16385, 53867, 17016, 16414, 16385, 16604, 16385, 17933, 16395, 21739, 16728, 16397, 16385, 16604, 16385, 17933, 16395, 21739, 17016, 16414, 16385, 16604, 16385, 16999, 16390, 16466, 16994, 16395, 16732, 16961, 17924, 20717, 18651, 16671, 16854, 17141, 17065, 16912, 18392, 16674, 18760, 16397, 16385, 16604, 16385, 17332, 16958, 32352, 17244, 16395, 23525, 16390, 16467, 16732, 16397, 16385, 16604, 16385, 18662, 17395, 16671, 16647, 28718, 16671, 46368, 16397, 16385, 16604, 16385, 17119, 16807, 23694, 16931, 16811, 16397, 16385, 16604, 16385, 28651, 16397, 16385, 16604, 16385, 29605, 16397, 16385, 16604, 16385, 17332, 16390, 16644, 16641, 17687, 51642, 16397, 16385, 16604, 16385, 16424, 17133, 16732, 17208, 19092, 16903, 16912, 20307, 31657, 17032, 18242, 16397, 16385, 16604, 16385, 16687, 17121, 16390, 16467, 16807, 23308, 16671, 16854, 16397, 16385, 16604, 16385, 19139, 23705, 16397, 16385, 16604, 16385, 28772, 16395, 16687, 16390, 16460, 20586, 16395, 16687, 16985, 16715, 26500, 21730, 16397, 16385 ]
[ 0, 22647, 23076, 17121, 16743, 16467, 17109, 16671, 16703, 17747, 16397, 17933, 16395, 17324, 16395, 16873, 17121, 16743, 16467, 16397, 16582, 16582, 18753, 16647, 17291, 16673, 16811, 19090, 16395, 16732, 16868, 16703, 17914, 16671, 18642, 16647, 17514, 19484, 16450, 16715, 16732, 16709, 17492, 17913, 16397, 18101, 19708, 16704, 16671, 30555, 16732, 16671, 17190, 16912, 17304, 24608, 21778, 16931, 19484, 23076, 16395, 19095, 16673, 38972, 16709, 17016, 19304, 16715, 18148, 18118, 16397, 16582, 16582, 16424, 16743, 16460, 17395, 16671, 18623, 16732, 17181, 17155, 18586, 16672, 16647, 17650, 16673, 18065, 16641, 18677, 16397, 28237, 16709, 16641, 26737, 16671, 21418, 16671, 16721, 19648, 16397, 16687, 16743, 16683, 19492, 16409, 16582, 16582, 19231, 17492, 20041, 16395, 16687, 16743, 16683, 21458, 16944, 20671, 16732, 17208, 16703, 22438, 16741, 16732, 20446, 16641, 19484, 16450, 16395, 16674, 16687, 16743, 16683, 17882, 16732, 16991, 22879, 16673, 16647, 17154, 25662, 16396, 18406, 19484, 23076, 16715, 16721, 20041, 16397, 16582, 16582, 42266, 16647, 17210, 16395, 16742, 16743, 16683, 19492, 17818, 18229, 16396, 16806, 19484, 23076, 16674, 17362, 16396, 16806, 19484, 23076, 16843, 17492, 19751, 17285, 16912, 29221, 16395, 16647, 20541, 16715, 16641, 35929, 16398, 18700, 17583, 28929, 16395, 16641, 17446, 16396, 24521, 17913, 18623, 26514, 16395, 16991, 22049, 16396, 46085, 23575, 16395, 16674, 16667, 25659, 16715, 17818, 37588, 22147, 19108, 19077, 16912, 19521, 18950, 16397, 16582, 16582, 16853, 20431, 16673, 60570, 16912, 19484, 23076, 16843, 16703, 19770, 16397, 16772, 17262, 19484, 16450, 16868, 30245, 16912, 21014, 16672, 16647, 21165, 18950, 16395, 17261, 16732, 16985, 23045, 16395, 16674, 16728, 16868, 17027, 24190, 16732, 16671, 17391, 16647, 17514, 21483, 16673, 16912, 20117, 16674, 22049, 16397, 17332, 16743, 16683, 16703, 17914, 16671, 16985, 23045, 16709, 16641, 29413, 17032, 17259, 16843, 16709, 16641, 17362, 16396, 16806, 28958, 16397, 16582, 16582, 18105, 16641, 24245, 16450, 22583, 16582, 16582, 16416, 19484, 16450, 16704, 16641, 18197, 16715, 18065, 18677, 22456, 21677, 16395, 19294, 16809, 25289, 27953, 17915, 17586, 16721, 16742, 18366, 17121, 16743, 16467, 17324, 17109, 16395, 16674, 16873, 16743, 16644, 18408, 20967, 16931, 17072, 16873, 16829, 16721, 16397, 16711, 17589, 17202, 18469, 16395, 16687, 19438, 16641, 18677, 16721, 24669, 16647, 17736, 36764, 22658, 16721, 17259, 19484, 23076, 17231, 16397, 16999, 16743, 16466, 16804, 19062, 29741, 16671, 17967, 16811, 19090, 16395, 16850, 16728, 20514, 17660, 16743, 16467, 22479, 16397, 16582, 16582, 18571, 24245, 23076, 21246, 16604, 17064, 44307, 21560, 16397, 16582, 16582, 17991, 16732, 16743, 16644, 52580, 16647, 18677, 16395, 17348, 16769, 16991, 17238, 20873, 39841, 16409, 16582, 16582, 17822, 16787, 16448, 22980, 16707, 25366, 16409, 16921, 22448, 17915, 16991, 20241, 17586, 16604, 16391, 16403, 16409, 16403, 16409, 16403, 16704, 17028, 28372, 16448, 32696, 16397, 16604, 16403, 16409, 16401, 16409, 16401, 16704, 16991, 28372, 16448, 22980, 16707, 25366, 16397, 16403, 16409, 16401, 16409, 16399, 16704, 21841, 16673, 28372, 16448, 22980, 16707, 25366, 16392, 16397, 24960, 16980, 16732, 16743, 16644, 18045, 20241, 16396, 23317, 25242, 16397, 28469, 18216, 16980, 16732, 16743, 16644, 18045, 20554, 20503, 16785, 16965, 44927, 16985, 16397, 16582, 16582, 17278, 22448, 17915, 16991, 20241, 17586, 16604, 16391, 16403, 16409, 16403, 16409, 16403, 16704, 17028, 28372, 16448, 32696, 16397, 16604, 16403, 16409, 16401, 16409, 16401, 16704, 16991, 28372, 16448, 22980, 16707, 25366, 16397, 16403, 16409, 16401, 16409, 16399, 16704, 21841, 16673, 28372, 16448, 22980, 16707, 25366, 16392, 16397, 24960, 16980, 16732, 16743, 16644, 18045, 20241, 16396, 23317, 25242, 16397, 28469, 18216, 16980, 16732, 16743, 16644, 18045, 20554, 20503, 16785, 16965, 44927, 16985, 16397, 20881, 16689, 16396, 25263, 16661, 16409, 25671, 16466, 25426, 16604, 16391, 56672, 16661, 19101, 16392, 16673, 18655, 25410, 16674, 18199, 17007, 16858, 16647, 17396, 20241, 16397, 24960, 16715, 16965, 44927, 16674, 20241, 16396, 23317, 25242, 16397, 33395, 16858, 19484, 23076, 17231, 16811, 16671, 16991, 20157, 16395, 16674, 16647, 18636, 30706, 16671, 24195, 16734, 16647, 18064, 23178, 16397, 16582, 16582, 27458, 16466, 25426, 16604, 16391, 56672, 16661, 19101, 16392, 16673, 18655, 25410, 16674, 18199, 17007, 16858, 16647, 17396, 20241, 16397, 24960, 16715, 16965, 44927, 16674, 20241, 16396, 23317, 25242, 16397, 33395, 16858, 19484, 23076, 17231, 16811, 16671, 16991, 20157, 16395, 16674, 16647, 18636, 30706, 16671, 24195, 16734, 16647, 18064, 23178, 16397, 25171, 63198, 36764, 16409, 64496, 18722, 32559, 16604, 16391, 16770, 19702, 18211, 32559, 16392, 16671, 31284, 16647, 17788, 22954, 16397, 24960, 16715, 29221, 16397, 16582, 16582, 16436, 21308, 18722, 32559, 16604, 16391, 16770, 19702, 18211, 32559, 16392, 16671, 31284, 16647, 17788, 22954, 16397, 24960, 16715, 29221, 16397, 26608, 23437, 16409, 16772, 17679, 16673, 18230, 25410, 16397, 17267, 23108, 18064, 16396, 31163, 16604, 16391, 23112, 17450, 20246, 16392, 16704, 17203, 16715, 20241, 16396, 23317, 25242, 16674, 16965, 44927, 16397, 16582, 16582, 22647, 16450, 49752, 23984, 16582, 16582, 16424, 16743, 16690, 17027, 23150, 18226, 16641, 17685, 16673, 16858, 16673, 16647, 17154, 18545, 19484, 23076, 17405, 16672, 16647, 17498, 40419, 17394, 16397, 17170, 17685, 16843, 17261, 16732, 24416, 17476, 19484, 23076, 17647, 17492, 16977, 16674, 17190, 16647, 17514, 19270, 16715, 16912, 17913, 16397, 16582, 16582, 18377, 16769, 17259, 17476, 19484, 23076, 16721, 16843, 16703, 17405, 16672, 16647, 29221, 17650, 16395, 16850, 16647, 19528, 16687, 16743, 16690, 19618, 16769, 16809, 17963, 16647, 17154, 18545, 16397, 17664, 16704, 16641, 18650, 21483, 16671, 17655, 19500, 19484, 23076, 16604, 17064, 16873, 16769, 16922, 18715, 16671, 16985, 16709, 16912, 17434, 16395, 16912, 21281, 16743, 16466, 17434, 16395, 16912, 17434, 16396, 16642, 16396, 30794, 16396, 35518, 16395, 19104, 16397, 17294, 16728, 16743, 16466, 21229, 16671, 17393, 17261, 16980, 17536, 19410, 18909, 16397, 16582, 16582, 27715, 16647, 19426, 16672, 16641, 17009, 26487, 16395, 16674, 17133, 16931, 16944, 19484, 23076, 17699, 16703, 16641, 17203, 20134, 16715, 16732, 16741, 16732, 17337, 17181, 16647, 19090, 16397, 16582, 16582, 25046, 16891, 16647, 19426, 16582, 16582, 61201, 16472, 17552, 16582, 16582, 19494, 16673, 16647, 30852, 16672, 16647, 19426, 16704, 16604, 16894, 29942, 16472, 17552, 16395, 16900, 16944, 16704, 16667, 17889, 20174, 16734, 19484, 23076, 16397, 18196, 16687, 16743, 16460, 19699, 16931, 19260, 16472, 17552, 16395, 16687, 17121, 16743, 16467, 23902, 17881, 17016, 16912, 20697, 24711, 16397, 16687, 17881, 16647, 18636, 16673, 17586, 16721, 16704, 35378, 16809, 16647, 19484, 16450, 16395, 17097, 16991, 16673, 16944, 16732, 16843, 17134, 16397, 16772, 18283, 16704, 16409, 17426, 16687, 16955, 16667, 16819, 20036, 19298, 19521, 16395, 16674, 17177, 16687, 45070, 16728, 16734, 16811, 19484, 16450, 16395, 17072, 18655, 16961, 16647, 17009, 19521, 16703, 16671, 16647, 17719, 19521, 16414, 17674, 17240, 17624, 16704, 19129, 16672, 16647, 17333, 18227, 16414, 17426, 16647, 17142, 21014, 16769, 17238, 18655, 16395, 17177, 16647, 19484, 16450, 16704, 16804, 17238, 19260, 16472, 16395, 16674, 16980, 16873, 16743, 16644, 18408, 17476, 16395, 17177, 16728, 16743, 16466, 16922, 19260, 16472, 16397, 16582, 16582, 16853, 19260, 16472, 17552, 16704, 16641, 22332, 16673, 16647, 22658, 16721, 16647, 18343, 19484, 16450, 20760, 16674, 17073, 18064, 23178, 16397, 16711, 16922, 19260, 16472, 19484, 16450, 16704, 16804, 23902, 16604, 16894, 27885, 16397, 16900, 16875, 16991, 19140, 16604, 16391, 26760, 29741, 18693, 16395, 16715, 20845, 16392, 16395, 16728, 16743, 16466, 17324, 16804, 19865, 16671, 24095, 16604, 16400, 16399, 16399, 16388, 16673, 16647, 19170, 19521, 16397, 25453, 16641, 16922, 19260, 16472, 19484, 16450, 16843, 16703, 16641, 17324, 20967, 18062, 17172, 16673, 17072, 17240, 18692, 16728, 34716, 16397, 16582, 16582, 17991, 16647, 19521, 19175, 16994, 16741, 17203, 16671, 16887, 20697, 16395, 17177, 17818, 17208, 16687, 17534, 16980, 16728, 16743, 16466, 32125, 16604, 17705, 29942, 16472, 16743, 16414, 16582, 16582, 18001, 17208, 17534, 17172, 16732, 17123, 17137, 16671, 17928, 16647, 19521, 16397, 17426, 16732, 16769, 18045, 16998, 19373, 16673, 20241, 32263, 16395, 17177, 16732, 16868, 16703, 21910, 16647, 19521, 16395, 22764, 16732, 16671, 17134, 21025, 16673, 16647, 19521, 16721, 23525, 16743, 16467, 25350, 16604, 16391, 16658, 27418, 16392, 17014, 16732, 26757, 16728, 16397, 16582, 16582, 18264, 18185, 17348, 16704, 16667, 19521, 16721, 16763, 26757, 25424, 16397, 16582, 16582, 21055, 16704, 16641, 18729, 17594, 20626, 16673, 16728, 45070, 16734, 16751, 16397, 16401, 16405, 16403, 16395, 17655, 16641, 19749, 24984, 16396, 16644, 42159, 24157, 16397, 16582, 16582, 18111, 17177, 45070, 16734, 58405, 16471, 26997, 16604, 16402, 16404, 16399, 16471, 16409, 16582, 16582, 19537, 16858, 17158, 18408, 17240, 16647, 17396, 16395, 17121, 16743, 16467, 16873, 16414, 16772, 22065, 18950, 16704, 16994, 16931, 16647, 17396, 16395, 16674, 16647, 16751, 16397, 16401, 16405, 16403, 19471, 16704, 16641, 28697, 16673, 16647, 19101, 16673, 16647, 58405, 16471, 26997, 19471, 16397, 17170, 16704, 17818, 16728, 16743, 16466, 16647, 23925, 20989, 16715, 24984, 16397, 16999, 19175, 16994, 16931, 16741, 17203, 16671, 16647, 20697, 16395, 16674, 16647, 19471, 16704, 17240, 21229, 16671, 28042, 16671, 16647, 21546, 16397, 16582, 16582, 16853, 22736, 16734, 16647, 16751, 16397, 16401, 16405, 16403, 19288, 16395, 18919, 16395, 18526, 17014, 16732, 17590, 16671, 17190, 19029, 16671, 16647, 19521, 16397, 17887, 16980, 16732, 18612, 16671, 19031, 16647, 23659, 16414, 16582, 16582, 20505, 16742, 16843, 17134, 17187, 16647, 20349, 16396, 20036, 19298, 19521, 25903, 22170, 16397, 19079, 20636, 16674, 27923, 17158, 24094, 16672, 16647, 16678, 16397, 16401, 16405, 16403, 19521, 16395, 16674, 16647, 23043, 16809, 16647, 23482, 17158, 16858, 17775, 22018, 16397, 16582, 16582, 17635, 16704, 17818, 16732, 17324, 17137, 16641, 17362, 16396, 29606, 19484, 16450, 17014, 16732, 25217, 16647, 19521, 16604, 17064, 17172, 16732, 16868, 18366, 17137, 16671, 17190, 19029, 18242, 16709, 16395, 16850, 16732, 17121, 16743, 16467, 17039, 18352, 17016, 17310, 19029, 17699, 16703, 16397, 17332, 16743, 16683, 17137, 16671, 58230, 16647, 20241, 16674, 23065, 16395, 19382, 58230, 16647, 20017, 16395, 19382, 17188, 16991, 16965, 44927, 16397, 16711, 20349, 16396, 20036, 19298, 19471, 17930, 16743, 16467, 17823, 16715, 17310, 19029, 17714, 24820, 17285, 16397, 16582, 16582, 17635, 16704, 17818, 16728, 16743, 16466, 16641, 17203, 18479, 16671, 25217, 16912, 29839, 16672, 16604, 16400, 16399, 16396, 19286, 17199, 16980, 16732, 17123, 16703, 21425, 17230, 16667, 16604, 16407, 16396, 19286, 19471, 16672, 16647, 17291, 16604, 17064, 16732, 17121, 16743, 16467, 17039, 16395, 17014, 16732, 20272, 16395, 16944, 28245, 16732, 16743, 16644, 17395, 16671, 17137, 16397, 16582, 16582, 16853, 24245, 16450, 39045, 16582, 16582, 20505, 16721, 16742, 16743, 16690, 24054, 16991, 16673, 16647, 60278, 20385, 16891, 16673, 16647, 17210, 16395, 16728, 16743, 16466, 17005, 16671, 18623, 17181, 16647, 17476, 25652, 16721, 16732, 16743, 16683, 27214, 16672, 17492, 17913, 16397, 16582, 16582, 22461, 20183, 21833, 16734, 16641, 19484, 16450, 16721, 16732, 25217, 16672, 16647, 21655, 16395, 16674, 16728, 22866, 16734, 16641, 19484, 16450, 16721, 16732, 27084, 16604, 16391, 25910, 22014, 19484, 16450, 16392, 16674, 17459, 17021, 16671, 16912, 21281, 16785, 28042, 16671, 16647, 20247, 16397, 16875, 16647, 44335, 17843, 16395, 16732, 16829, 16858, 16673, 16912, 29221, 16674, 20241, 16396, 23317, 25242, 17262, 16709, 16647, 21655, 22456, 16674, 17177, 27084, 16671, 16912, 22667, 19484, 16450, 16395, 16859, 16732, 16743, 16644, 17097, 18021, 17655, 17142, 19484, 23076, 16397, 16582, 16582, 18129, 17154, 16673, 16647, 17005, 16728, 19353, 16641, 17687, 18064, 16922, 25817, 16397, 17332, 17699, 17333, 18227, 16671, 16641, 17476, 19484, 16450, 16715, 29221, 16395, 16674, 24127, 16715, 20241, 16396, 23317, 25242, 16395, 16674, 20057, 16715, 16965, 44927, 16397, 17403, 16728, 16858, 21833, 16734, 17445, 16582, 16582, 16853, 24245, 16450, 17332, 54673, 18419, 16582, 16582, 16391, 18252, 16671, 16647, 21304, 16392, 16582, 16582, 17635, 16704, 16912, 25217, 19484, 16450, 16395, 16604, 16391, 30086, 18047, 16647, 16604, 16894, 49360, 23389, 19484, 16450, 16900, 16785, 16604, 16894, 16861, 41034, 19484, 16450, 16900, 16392, 16397, 16582, 16582, 54087, 22538, 16395, 16732, 17208, 20199, 16715, 16647, 21165, 16396, 29606, 19484, 16450, 16721, 16912, 21655, 16604, 16391, 16658, 16912, 20882, 16392, 16843, 25217, 16397, 18196, 16687, 17335, 16604, 16894, 65320, 18950, 16900, 16395, 16687, 17881, 16721, 16732, 17137, 16671, 25217, 16741, 17240, 17624, 16741, 18230, 16395, 16859, 16732, 17137, 17827, 16396, 29942, 16472, 19484, 23076, 16409, 17827, 36764, 16395, 18846, 18064, 16396, 31163, 16395, 16674, 17827, 28372, 16448, 22980, 16707, 25366, 16397, 16772, 16922, 17624, 16732, 16807, 17014, 16732, 25217, 16395, 16647, 16922, 29636, 16732, 16868, 16807, 18242, 16395, 18839, 16672, 20241, 16396, 23317, 25242, 16674, 16965, 44927, 16604, 16391, 16736, 16732, 16743, 16644, 18045, 16721, 16392, 16397, 16582, 16582, 20088, 18067, 16395, 16732, 17027, 16807, 16671, 18328, 16641, 17563, 16673, 16977, 16395, 23660, 20671, 16672, 16811, 19270, 16395, 21327, 16742, 16961, 17686, 16703, 22940, 16604, 16407, 16426, 25424, 16395, 17262, 16414, 16582, 16582, 37524, 16582, 16582, 16853, 17092, 25381, 16704, 22842, 17985, 16397, 39774, 22538, 16395, 16647, 16922, 22362, 16647, 21655, 16395, 16647, 18846, 18950, 19484, 23076, 16769, 18125, 16709, 16728, 16397, 16687, 17335, 20698, 17172, 16986, 16769, 16991, 16604, 16894, 56530, 20363, 16900, 27531, 16721, 16843, 18930, 21748, 19484, 23076, 16767, 16641, 23655, 18787, 16397, 23406, 43223, 16743, 16466, 48218, 18502, 16604, 16391, 33164, 16672, 16647, 18334, 17897, 17014, 16647, 48218, 16401, 16763, 49734, 16392, 16958, 18365, 16715, 21935, 17607, 19484, 23076, 17032, 16647, 16977 ]
[ 0, 24980, 16769, 27158, 16709, 21463, 16396, 31299, 27085, 16674, 20885, 26748, 16395, 16944, 16672, 17762, 16769, 62544, 16709, 20854, 23205, 16672, 16647, 17510, 16673, 16647, 21546, 16604, 16391, 16452, 16397, 16454, 16397, 16395, 24020, 17830, 29007, 16392, 16674, 18155, 38665, 16395, 22358, 16671, 25050, 16397, 17426, 16998, 17936, 16673, 26095, 39676, 17187, 16721, 20854, 23205, 16704, 48621, 16785, 24171, 62176, 18980, 16395, 16647, 27085, 16674, 20885, 26748, 16769, 16804, 17914, 16671, 26610, 16734, 16977, 27085, 16674, 20885, 26748, 16397, 16582, 40811, 27168, 34429, 16641, 20240, 18898, 16673, 21318, 22072, 16734, 18723, 20380, 39768, 26744, 16397, 23079, 16395, 38008, 16843, 17027, 22955, 16674, 24505, 25048, 17415, 17476, 21318, 26312, 16674, 34670, 16395, 16674, 20781, 16843, 18288, 21463, 35182, 16674, 18224, 16671, 16977, 20988, 16397, 16582, 23930, 23674, 20286, 16673, 50452, 27034, 17586, 21318, 23905, 16807, 20140, 16409, 31395, 27825, 23905, 17961, 16641, 22745, 18898, 16673, 16931, 16604, 16401, 16399, 16396, 16404, 16399, 20990, 18089, 16673, 23755, 16785, 16604, 16402, 20990, 16672, 16678, 22171, 36901, 16395, 16674, 18187, 16396, 24193, 18070, 16396, 31085, 20117, 23905, 16604, 16391, 38304, 17600, 18070, 16396, 31085, 23905, 16785, 16762, 45145, 16466, 16392, 17961, 16641, 22745, 18898, 16673, 16931, 16604, 16399, 16397, 16401, 20990, 16604, 16391, 16519, 16634, 16400, 16399, 16399, 16399, 20510, 47958, 16396, 16407, 16399, 16401, 16397, 16400, 16400, 16461, 16604, 16401, 16397, 16403, 54569, 16392, 36966, 18089, 16673, 23755, 16397, 19833, 16395, 16647, 31395, 23205, 16715, 27034, 19768, 51215, 25290, 17301, 16396, 42281, 21318, 17415, 20885, 26748, 16674, 20854, 17927, 16765, 16964, 16395, 17187, 16647, 17927, 16765, 16964, 16769, 22484, 24053, 16671, 24639, 18155, 38665, 16395, 29732, 16671, 16647, 17726, 32738, 27825, 19278, 16674, 16647, 21463, 16397, 16772, 21557, 19692, 16715, 17213, 17301, 16396, 24193, 27034, 23905, 16704, 22484, 16641, 33910, 16395, 30144, 19692, 16395, 16674, 16647, 19278, 16704, 21820, 16671, 29527, 17490, 20240, 38064, 16604, 16391, 16519, 16634, 16404, 16396, 16401, 16399, 49338, 16392, 16674, 17259, 46247, 20239, 16397, 17170, 17208, 16703, 23065, 16665, 16734, 16641, 18187, 16396, 24193, 27034, 20117, 19278, 16395, 16944, 17123, 18675, 19705, 20239, 16671, 16641, 20854, 41135, 16785, 27969, 16395, 16944, 41135, 17123, 19302, 16807, 16641, 47022, 21032, 16671, 16647, 21463, 16397, 16711, 18474, 18185, 16704, 28634, 16396, 26972, 16395, 16944, 16704, 21820, 18745, 16671, 16647, 47958, 16396, 16407, 16399, 16401, 16397, 16400, 16400, 16471, 25048, 21743, 16395, 16734, 16641, 17586, 18960, 50099, 17030, 16604, 16400, 27736, 58921, 16972, 17711, 16604, 16391, 16407, 16399, 16401, 16397, 16400, 16400, 16861, 16392, 16674, 16641, 18898, 16721, 16704, 22484, 17240, 17827, 17032, 16604, 16400, 16399, 16399, 16669, 16397, 20735, 18365, 19749, 22879, 16769, 18365, 16809, 16647, 19246, 42966, 16674, 17565, 16716, 46441, 16397, 16772, 21557, 19692, 16715, 16641, 16762, 45145, 16704, 22484, 16667, 16819, 17006, 25639, 19692, 16395, 17274, 16741, 16917, 16673, 16647, 20259, 16428, 26312, 16604, 16391, 58049, 16395, 22813, 16395, 16674, 19428, 16392, 16395, 16785, 16922, 19193, 16395, 16641, 37474, 22987, 19692, 34098, 30544, 16809, 57653, 31327, 22523, 16604, 16391, 16438, 26877, 18013, 16392, 16397, 18483, 49621, 16673, 17274, 16667, 16819, 17006, 25639, 19692, 16704, 16647, 43573, 21057, 16673, 18650, 33384, 18443, 16671, 16977, 21494, 16673, 20239, 16395, 16944, 30706, 16671, 20776, 18422, 16647, 18898, 16395, 16785, 16647, 38064, 16395, 16785, 17490, 16397, 17544, 17274, 18070, 18124, 23905, 16395, 16641, 18187, 18898, 16604, 16391, 25293, 17803, 16674, 17362, 46749, 20627, 16392, 21083, 52988, 16715, 17362, 20627, 16673, 31517, 19692, 49369, 16674, 28052, 19415, 16673, 33384, 16397, 16582, 20012, 53228, 23905, 16785, 39028, 23905, 16769, 17027, 18365, 16397, 18708, 34670, 27284, 29240, 16396, 16928, 16396, 48412, 25048, 17415, 20988, 17030, 16641, 20710, 16673, 23790, 26312, 16395, 16674, 16641, 18898, 16673, 26744, 16397, 16875, 16641, 18180, 20708, 16754, 19278, 16395, 25048, 16769, 20493, 16815, 16917, 23314, 16671, 17653, 16672, 18502, 17415, 16647, 19419, 16674, 26154, 16397, 20919, 16673, 19001, 23699, 16395, 16741, 16647, 17679, 16673, 16678, 18983, 30983, 16395, 16647, 33010, 16673, 16641, 21318, 24228, 25880, 17073, 26154, 36970, 16395, 17274, 16721, 19746, 28062, 16673, 16922, 17032, 16604, 16400, 16399, 16785, 16604, 16401, 16399, 16672, 16641, 31878, 16972, 60342, 19278, 16769, 26030, 19570, 39273, 16397, 16711, 23850, 39028, 19278, 25022, 35149, 16641, 45370, 19426, 16767, 17492, 23314, 16395, 16944, 16704, 17177, 17405, 16671, 18123, 16647, 21318, 16397, 17170, 45370, 19426, 17123, 16703, 20916, 16764, 53176, 16785, 23441, 18444, 16397, 16875, 44721, 45370, 16395, 16647, 19278, 17731, 17624, 16704, 25374, 16671, 16647, 19001, 28988, 16395, 18143, 16984, 18158, 16671, 16977, 25048, 16395, 17274, 16721, 17014, 16641, 21318, 16704, 16671, 16703, 20916, 16395, 16647, 28988, 26630, 16709, 16647, 17177, 16396, 22500, 45370, 17624, 16671, 18123, 16647, 21318, 16397, 17170, 41257, 41212, 16815, 16647, 23384, 16673, 59560, 16785, 30740, 45370, 17624, 16785, 36511, 49826, 16838, 27770, 35837, 16395, 16785, 17490, 16397, 17143, 21126, 45370, 29196, 16671, 21349, 16647, 19278, 17731, 16767, 16647, 17005, 16673, 16395, 16674, 16715, 16647, 20380, 16673, 16395, 16641, 18494, 21318, 16395, 16674, 20821, 17123, 18616, 18650, 25048, 22436, 17963, 44221, 16647, 18636, 16673, 17586, 16671, 16703, 46628, 16672, 17970, 16671, 21177, 16641, 18675, 16397, 20919, 16647, 19278, 17731, 16704, 26985, 16767, 16647, 17005, 16673, 21318, 16395, 16986, 16704, 17827, 19560, 16671, 30195, 17596, 18252, 16647, 27770, 17624, 16709, 16977, 25048, 16397, 17664, 16769, 17027, 19001, 28448, 16911, 53228, 19278, 45370, 34670, 16395, 16944, 22417, 16671, 32758, 17415, 17213, 17142, 23575, 16395, 16674, 16977, 28184, 16716, 17413, 16741, 17204, 16397, 21125, 16395, 16693, 16397, 16454, 16397, 16395, 16876, 16397, 16434, 16397, 19394, 16397, 51199, 16397, 16674, 23329, 16397, 38560, 18501, 16459, 16397, 51199, 16397, 16604, 16405, 16395, 16404, 16407, 16403, 16395, 16399, 16407, 16399, 16410, 16604, 16405, 16395, 16405, 16401, 16404, 16395, 16400, 16402, 16404, 16410, 16604, 16405, 16395, 16405, 16401, 16407, 16395, 16405, 16401, 16399, 16410, 16604, 16405, 16395, 16406, 16400, 16407, 16395, 16402, 16408, 16403, 16410, 16604, 16405, 16395, 16406, 16404, 16403, 16395, 16400, 16408, 16401, 16410, 16604, 16405, 16395, 16406, 16405, 16402, 16395, 16399, 16400, 16402, 16410, 16604, 16405, 16395, 16406, 16405, 16402, 16395, 16399, 16400, 16403, 16410, 16604, 16405, 16395, 16407, 16406, 16399, 16395, 16407, 16403, 16405, 16410, 16604, 16405, 16395, 16407, 16408, 16403, 16395, 16408, 16407, 16404, 16410, 16604, 16405, 16395, 16407, 16408, 16407, 16395, 16404, 16401, 16408, 16410, 16604, 16405, 16395, 16408, 16399, 16405, 16395, 16406, 16403, 16400, 16410, 16604, 16405, 16395, 16408, 16404, 16403, 16395, 16403, 16402, 16404, 16410, 16604, 16405, 16395, 16408, 16405, 16400, 16395, 16402, 16400, 16399, 16410, 16604, 16405, 16395, 16408, 16406, 16404, 16395, 16405, 16400, 16403, 16410, 16604, 16405, 16395, 16408, 16406, 16406, 16395, 16405, 16399, 16407, 16410, 16604, 16405, 16395, 16408, 16407, 16405, 16395, 16400, 16405, 16400, 16410, 16604, 16406, 16395, 16399, 16399, 16406, 16395, 16400, 16399, 16401, 16410, 16604, 16406, 16395, 16399, 16401, 16406, 16395, 16403, 16401, 16405, 16410, 16604, 16406, 16395, 16399, 16401, 16407, 16395, 16405, 16407, 16406, 16410, 16604, 16406, 16395, 16399, 16405, 16407, 16395, 16405, 16399, 16399, 16410, 16604, 16406, 16395, 16399, 16405, 16407, 16395, 16405, 16399, 16404, 16410, 16604, 16406, 16395, 16399, 16406, 16404, 16395, 16408, 16400, 16408, 16410, 16604, 16406, 16395, 16399, 16406, 16408, 16395, 16404, 16404, 16401, 16410, 16604, 16406, 16395, 16399, 16407, 16401, 16395, 16400, 16400, 16406, 16410, 16604, 16406, 16395, 16399, 16407, 16404, 16395, 16401, 16408, 16399, 16410, 16604, 16406, 16395, 16399, 16408, 16405, 16395, 16399, 16402, 16406, 16410, 16604, 16406, 16395, 16400, 16403, 16401, 16395, 16407, 16405, 16405, 16410, 16604, 16406, 16395, 16400, 16406, 16399, 16395, 16403, 16401, 16404, 16410, 16604, 16406, 16395, 16400, 16406, 16405, 16395, 16407, 16399, 16406, 16410, 16604, 16406, 16395, 16401, 16400, 16405, 16395, 16401, 16407, 16401, 16410, 16604, 16406, 16395, 16401, 16404, 16400, 16395, 16401, 16402, 16407, 16410, 16604, 16406, 16395, 16401, 16405, 16405, 16395, 16399, 16407, 16404, 16410, 16604, 16406, 16395, 16401, 16407, 16400, 16395, 16399, 16404, 16406, 16410, 16604, 16406, 16395, 16401, 16408, 16408, 16395, 16399, 16402, 16407, 16410, 16604, 16406, 16395, 16401, 16408, 16408, 16395, 16399, 16403, 16401, 16410, 16604, 16406, 16395, 16402, 16399, 16407, 16395, 16402, 16405, 16408, 16410, 16604, 16406, 16395, 16402, 16399, 16407, 16395, 16402, 16406, 16399, 16410, 16604, 16406, 16395, 16402, 16400, 16406, 16395, 16407, 16408, 16407, 16410, 16604, 16406, 16395, 16402, 16401, 16406, 16395, 16408, 16408, 16407, 16410, 16604, 16406, 16395, 16402, 16403, 16405, 16395, 16400, 16405, 16406, 16410, 16604, 16406, 16395, 16402, 16403, 16407, 16395, 16407, 16408, 16404, 16410, 16604, 16406, 16395, 16402, 16404, 16405, 16395, 16399, 16399, 16400, 16410, 16604, 16406, 16395, 16402, 16405, 16401, 16395, 16406, 16400, 16400, 16410, 16604, 16406, 16395, 16402, 16405, 16405, 16395, 16400, 16400, 16400, 16410, 16604, 16406, 16395, 16402, 16405, 16405, 16395, 16404, 16403, 16403, 16410, 16604, 16406, 16395, 16402, 16407, 16401, 16395, 16406, 16405, 16404, 16410, 16604, 16406, 16395, 16402, 16407, 16408, 16395, 16401, 16408, 16404, 16410, 16604, 16406, 16395, 16402, 16408, 16403, 16395, 16406, 16408, 16407, 16410, 16604, 16406, 16395, 16402, 16408, 16403, 16395, 16407, 16401, 16405, 16410, 16604, 16406, 16395, 16403, 16400, 16407, 16395, 16401, 16402, 16407, 16410, 16604, 16406, 16395, 16403, 16401, 16399, 16395, 16408, 16403, 16403, 16410, 16604, 16406, 16395, 16403, 16401, 16406, 16395, 16408, 16401, 16406, 16410, 16604, 16406, 16395, 16403, 16401, 16407, 16395, 16401, 16401, 16400, 16410, 16604, 16406, 16395, 16403, 16404, 16399, 16395, 16404, 16400, 16406, 16410, 16604, 16406, 16395, 16403, 16404, 16402, 16395, 16407, 16405, 16403, 16410, 16604, 16406, 16395, 16403, 16404, 16406, 16395, 16407, 16402, 16403, 16410, 16604, 16406, 16395, 16403, 16405, 16407, 16395, 16408, 16404, 16403, 16410, 16604, 16406, 16395, 16403, 16407, 16399, 16395, 16401, 16403, 16407, 16410, 16604, 16406, 16395, 16403, 16408, 16404, 16395, 16404, 16406, 16407, 16410, 16604, 16406, 16395, 16404, 16401, 16408, 16395, 16404, 16405, 16400, 16410, 16604, 16406, 16395, 16404, 16402, 16404, 16395, 16407, 16407, 16402, 16410, 16604, 16406, 16395, 16404, 16402, 16405, 16395, 16402, 16407, 16407, 16410, 16604, 16406, 16395, 16404, 16402, 16408, 16395, 16406, 16404, 16408, 16410, 16604, 16406, 16395, 16404, 16403, 16404, 16395, 16401, 16407, 16404, 16410, 16604, 16406, 16395, 16404, 16405, 16406, 16395, 16404, 16406, 16406, 16410, 16604, 16406, 16395, 16404, 16407, 16399, 16395, 16406, 16402, 16399, 16410, 16604, 16406, 16395, 16404, 16407, 16399, 16395, 16406, 16407, 16401, 16410, 16604, 16406, 16395, 16404, 16407, 16400, 16395, 16399, 16408, 16404, 16410, 16604, 16406, 16395, 16404, 16407, 16406, 16395, 16399, 16399, 16400, 16410, 16604, 16406, 16395, 16404, 16408, 16399, 16395, 16404, 16407, 16408, 16410, 16604, 16406, 16395, 16404, 16408, 16408, 16395, 16405, 16408, 16405, 16410, 16604, 16406, 16395, 16405, 16399, 16401, 16395, 16406, 16402, 16407, 16410, 16604, 16406, 16395, 16405, 16400, 16405, 16395, 16408, 16405, 16400, 16410, 16604, 16406, 16395, 16405, 16404, 16405, 16395, 16407, 16404, 16400, 16410, 16604, 16406, 16395, 16405, 16404, 16406, 16395, 16402, 16404, 16403, 16410, 16604, 16406, 16395, 16405, 16405, 16399, 16395, 16402, 16400, 16407, 16410, 16604, 16406, 16395, 16405, 16405, 16399, 16395, 16408, 16404, 16399, 16410, 16604, 16406, 16395, 16405, 16406, 16407, 16395, 16399, 16405, 16407, 16410, 16604, 16406, 16395, 16405, 16408, 16402, 16395, 16403, 16407, 16403, 16410, 16604, 16406, 16395, 16405, 16408, 16404, 16395, 16403, 16403, 16405, 16410, 16604, 16406, 16395, 16406, 16399, 16401, 16395, 16404, 16408, 16403, 16410, 16604, 16406, 16395, 16406, 16399, 16405, 16395, 16401, 16407, 16401, 16410, 16604, 16406, 16395, 16406, 16399, 16405, 16395, 16407, 16403, 16401, 16410, 16604, 16406, 16395, 16406, 16400, 16399, 16395, 16408, 16402, 16401, 16410, 16604, 16406, 16395, 16406, 16400, 16408, 16395, 16408, 16407, 16407, 16410, 16604, 16406, 16395, 16406, 16401, 16404, 16395, 16399, 16407, 16399, 16410, 16604, 16406, 16395, 16406, 16401, 16408, 16395, 16402, 16402, 16405, 16410, 16604, 16406, 16395, 16406, 16403, 16401, 16395, 16402, 16408, 16408, 16410, 16604, 16406, 16395, 16406, 16403, 16401, 16395, 16403, 16402, 16399, 16410, 16604, 16406, 16395, 16406, 16403, 16405, 16395, 16406, 16408, 16403, 16410, 16604, 16406, 16395, 16406, 16404, 16402, 16395, 16406, 16408, 16404, 16410, 16604, 16406, 16395, 16406, 16405, 16403, 16395, 16405, 16400, 16406, 16410, 16604, 16406, 16395, 16406, 16406, 16407, 16395, 16401, 16402, 16404, 16410, 16604, 16406, 16395, 16406, 16407, 16407, 16395, 16402, 16407, 16406, 16410, 16604, 16406, 16395, 16407, 16399, 16407, 16395, 16408, 16407, 16404, 16410, 16604, 16406, 16395, 16407, 16400, 16402, 16395, 16403, 16404, 16400, 16410, 16604, 16406, 16395, 16407, 16400, 16406, 16395, 16405, 16401, 16402, 16410, 16604, 16406, 16395, 16407, 16402, 16399, 16395, 16407, 16401, 16399, 16410, 16604, 16406, 16395, 16407, 16403, 16402, 16395, 16407, 16405, 16400, 16410, 16604, 16406, 16395, 16407, 16403, 16408, 16395, 16400, 16402, 16408, 16410, 16604, 16406, 16395, 16407, 16404, 16401, 16395, 16407, 16401, 16405, 16410, 16604, 16406, 16395, 16407, 16405, 16399, 16395, 16399, 16401, 16404, 16410, 16604, 16406, 16395, 16407, 16405, 16399, 16395, 16399, 16407, 16400, 16410, 16604, 16406, 16395, 16407, 16405, 16399, 16395, 16408, 16405, 16407, 16410, 16604, 16406, 16395, 16407, 16406, 16402, 16395, 16399, 16400, 16408 ]
[ 0, 38194, 16604, 16474, 16386, 16434, 16400, 16476, 16582, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16582, 16582, 16431, 52441, 16856, 18881, 61567, 16872, 17301, 56647, 16647, 19051, 18356, 16673, 30195, 20717, 16881, 16395, 16674, 18839, 16647, 21195, 16437, 16402, 16721, 16872, 21737, 16672, 18961, 17202, 16872, 21099, 30883, 19799, 26221, 16715, 30195, 20717, 16881, 16604, 16391, 16442, 16415, 16417, 16400, 16406, 16444, 16410, 16604, 16442, 16415, 16417, 16401, 16400, 16444, 16392, 16397, 31909, 18147, 26078, 16721, 21195, 16437, 16704, 23693, 24536, 17065, 17567, 18487, 33293, 16604, 16391, 16442, 16415, 16417, 16407, 16444, 16392, 16397, 21195, 16437, 16400, 16704, 20698, 19570, 17975, 16396, 20284, 31018, 16604, 16391, 16442, 16415, 16417, 16401, 16406, 16444, 16392, 16397, 21195, 16437, 16401, 16704, 24305, 39249, 24278, 16395, 18722, 19831, 16807, 19628, 16721, 21195, 16437, 16401, 16704, 16647, 17736, 63028, 16673, 17498, 16396, 17052, 24823, 18180, 16656, 17256, 16675, 40119, 29492, 16604, 16391, 22931, 29019, 16392, 16674, 18136, 16856, 49959, 24957, 16674, 16864, 17057, 16689, 19828, 29492, 16604, 16391, 22203, 22333, 16392, 16604, 16391, 16442, 16415, 16417, 16400, 16444, 16410, 16604, 16442, 16415, 16417, 16402, 16399, 16444, 16392, 16397, 18523, 16395, 16672, 18961, 17202, 16395, 16991, 23267, 16807, 27024, 21195, 16437, 16402, 16815, 23942, 22333, 30195, 23768, 16604, 16391, 16442, 16415, 16417, 16401, 16401, 16444, 16410, 16604, 16442, 16415, 16417, 16400, 16402, 16444, 16392, 16397, 24792, 16807, 19628, 16721, 21195, 16437, 16402, 16674, 21195, 16437, 16401, 16769, 23590, 29160, 16674, 16807, 18222, 19500, 16672, 17259, 19328, 16397, 16999, 16872, 16992, 19074, 16721, 21195, 16437, 16402, 17123, 19225, 40690, 26390, 16672, 16648, 18455, 16674, 23942, 22333, 16672, 22739, 42031, 16604, 16391, 16442, 16415, 16417, 16401, 16401, 16444, 16392, 16397, 28224, 16671, 21195, 16437, 16401, 16395, 21195, 16437, 16402, 16704, 18143, 23590, 16734, 22063, 23610, 16437, 16395, 21195, 16437, 16401, 16604, 16391, 16442, 16415, 16417, 16401, 16444, 16392, 16397, 18523, 16395, 22922, 21195, 16437, 16401, 16395, 16986, 16769, 19333, 20936, 33357, 16671, 19650, 21195, 16437, 16401, 24493, 16604, 16391, 16442, 16415, 16417, 16401, 16402, 16444, 16392, 16395, 16674, 16986, 16704, 17363, 16641, 35783, 16673, 33357, 16674, 19359, 22163, 16671, 19650, 21195, 16437, 16402, 16397, 16582, 16582, 19516, 36037, 19749, 23878, 33597, 16704, 16647, 20445, 16715, 16647, 18356, 16673, 21195, 16437, 16402, 33357, 16674, 19359, 26987, 19059, 16397, 18523, 16395, 17028, 26182, 17556, 16709, 16647, 20426, 32225, 16673, 21195, 16437, 16402, 16872, 16992, 19074, 16397, 18419, 16647, 18356, 16673, 25998, 22945, 19000, 16395, 16641, 20710, 16673, 23878, 33597, 16807, 16992, 27609, 17181, 27123, 44402, 16604, 16391, 16442, 16415, 16417, 16402, 16403, 16444, 16410, 16604, 16442, 16415, 16417, 16400, 16399, 16444, 16392, 16397, 18419, 16647, 26416, 19335, 16673, 16647, 35085, 20189, 16674, 17917, 16673, 21195, 16437, 16401, 16674, 21195, 16437, 16402, 16395, 23267, 16807, 21715, 38598, 53055, 16809, 47563, 16693, 65083, 22585, 20825, 39975, 16673, 21195, 16437, 16401, 16674, 21195, 16437, 16402, 16604, 16391, 16442, 16415, 16417, 16401, 16407, 16444, 16410, 16604, 16442, 16415, 16417, 16400, 16400, 16444, 16392, 16397, 21937, 16671, 16647, 35085, 20189, 16673, 21195, 16437, 16395, 16647, 21358, 61087, 18881, 61567, 35085, 16704, 16641, 18494, 16396, 18152, 30924, 20809, 16396, 18152, 30924, 23642, 16395, 16647, 30315, 16942, 16769, 17097, 16604, 16400, 16403, 16396, 16396, 16400, 16406, 34937, 16395, 16674, 16986, 16704, 17028, 48604, 16709, 16647, 20293, 16673, 16647, 23878, 29666, 16699, 16604, 16391, 16442, 16415, 16417, 16400, 16407, 16444, 16410, 16604, 16442, 16415, 16417, 16402, 16401, 16444, 16392, 16397, 16772, 19101, 16673, 16647, 21195, 16437, 16400, 16674, 21195, 16437, 16401, 35085, 18147, 20293, 16704, 16604, 16400, 16406, 16405, 16406, 16396, 16396, 16400, 16406, 16405, 16407, 60705, 16674, 21998, 16604, 16400, 16400, 17671, 19263, 32559, 16604, 16391, 18092, 35945, 16392, 16395, 16673, 16944, 24580, 16421, 16400, 16704, 16641, 23878, 44396, 16396, 16396, 21670, 22036, 16604, 16391, 21223, 16392, 16674, 16704, 16641, 19865, 20688, 16673, 23878, 44396, 16604, 16391, 16442, 16415, 16417, 16402, 16444, 16392, 16397, 24580, 16421, 16401, 18561, 19919, 16647, 31589, 29666, 16699, 22036, 16604, 16391, 28941, 16392, 16604, 16391, 16442, 16415, 16417, 16401, 16399, 16444, 16392, 16674, 16704, 25662, 17405, 16672, 16647, 18077, 16673, 59043, 33357, 16674, 32824, 54935, 16988, 16604, 16391, 16442, 16415, 16417, 16400, 16405, 16444, 16392, 16397, 32594, 16647, 61280, 16673, 21195, 16437, 16400, 16674, 21195, 16437, 16401, 16395, 16647, 17769, 20570, 16673, 16647, 21195, 16437, 16402, 35085, 16704, 16604, 16401, 16399, 16399, 16399, 60705, 16604, 16391, 16442, 16415, 16417, 16401, 16403, 16444, 16392, 16397, 19214, 23267, 16807, 28033, 16647, 21195, 16437, 16402, 47413, 23642, 16395, 16674, 19333, 16873, 16807, 28033, 16641, 18804, 16673, 17567, 24580, 35945, 16604, 16391, 16442, 16415, 16417, 16401, 16401, 16444, 16392, 16397, 18483, 18203, 22036, 28414, 16673, 16604, 16401, 16408, 16406, 34226, 32245, 16763, 44607, 16809, 24580, 16421, 16400, 16604, 16391, 16442, 16415, 16417, 16402, 16402, 16444, 16392, 16397, 31343, 16395, 17653, 20874, 22036, 26211, 16604, 16401, 16400, 16403, 34226, 32245, 16809, 24580, 16421, 16401, 16763, 61294, 16672, 16647, 23581, 20715, 16674, 16641, 22036, 16734, 16667, 24472, 17917, 16674, 23858, 16604, 16401, 16402, 16400, 34226, 32245, 16809, 24580, 16421, 16402, 16604, 16391, 16442, 16415, 16417, 16404, 16444, 16392, 16397, 26743, 21195, 16437, 16402, 16872, 16977, 17671, 19263, 32559, 16674, 16914, 22072, 17363, 18467, 18613, 18077, 16397, 16582, 16582, 16853, 18568, 18147, 16704, 16671, 22004, 38598, 53055, 17131, 16647, 36856, 16673, 45900, 20000, 16647, 35085, 20189, 16673, 16647, 23878, 16397, 18523, 16395, 16715, 16991, 25169, 22603, 34679, 23642, 38073, 16395, 16647, 35085, 20189, 16674, 17917, 16769, 33626, 18352, 16395, 16859, 16728, 16704, 17747, 16671, 22004, 38598, 53055, 16734, 16647, 19617, 16673, 16647, 16693, 65083, 22585, 20825, 27280, 16397, 17170, 18077, 40162, 16671, 17231, 16647, 26987, 24319, 16673, 21195, 16437, 16402, 34679, 23642, 16671, 22004, 21195, 16437, 16402, 38598, 53055, 16674, 22004, 16641, 34514, 19509, 27029, 24493, 18528, 17714, 16647, 17261, 16673, 16794, 41156, 20825, 39975, 16397, 16772, 18466, 20332, 16721, 16647, 21195, 16437, 16402, 28460, 16843, 25586, 16647, 52047, 17997, 16674, 28568, 16673, 25878, 16397, 17170, 18077, 16868, 18288, 16641, 18197, 16715, 16647, 20960, 16673, 38598, 53055, 16673, 16977, 34679, 23642, 38073, 16674, 20362, 16641, 25093, 16715, 16647, 18077, 16673, 16647, 19007, 31018, 25013, 16673, 21195, 16437, 16402, 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, 64106, 16674, 42924, 17342, 16604, 16474, 16386, 16434, 16401, 16397, 20538, 16400, 16476, 16582, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16582, 16582, 16853, 16604, 16402, 16419, 16403, 16398, 16401, 16400, 18155, 18089, 16604, 16391, 16456, 29270, 46792, 25394, 19376, 16397, 16395, 36136, 16395, 19391, 16392, 16763, 48926, 16672, 52410, 17100, 45188, 16390, 16466, 22250, 22009, 22767, 16604, 16391, 55423, 16395, 29547, 17435, 16392, 51019, 16809, 16604, 16400, 16399, 16388, 49242, 16660, 57232, 33651, 16767, 16604, 16402, 16406, 21896, 16418, 16672, 16641, 51272, 17886, 16604, 16404, 16388, 23593, 16477, 16401, 16477, 32773, 17662, 16397, 16772, 16950, 29336, 16674, 20960, 16673, 58549, 20825, 49738, 18145, 16763, 21996, 16891, 16672, 16604, 16393, 16420, 16397, 44599, 16393, 28460, 41750, 16404, 19766, 19487, 16604, 16391, 62155, 19161, 29167, 16395, 16759, 22686, 16395, 19391, 16392, 16397, 16772, 16764, 16458, 16936, 22585, 20825, 27280, 16664, 19093, 16396, 16402, 16401, 16448, 16604, 16391, 16394, 16392, 16674, 16604, 16393, 16420, 16397, 44599, 16393, 29611, 16401, 16400, 16604, 16391, 22370, 16402, 16392, 19487, 16958, 48216, 16815, 16647, 26634, 16673, 17038, 29105, 16397, 16772, 25116, 16401, 16398, 16399, 19487, 16958, 17027, 25214, 16815, 16647, 26634, 16397, 16582, 16582, 16437, 23753, 27890, 16674, 18312, 23720, 26458, 38505, 16604, 16474, 16386, 16434, 16401, 16397, 20538, 16401, 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, 16853, 21195, 16437, 16402, 23273, 23286, 16604, 16391, 27498, 36225, 65428, 17679, 16409, 16604, 16442, 60512, 16400, 16399, 16406, 16400, 16405, 16401, 16397, 16400, 16444, 16391, 60512, 16400, 16399, 16406, 16400, 16405, 16401, 16397, 16400, 16392, 16392, 16763, 18711, 16671, 17510, 16641, 25623, 16709, 37341, 16396, 41812, 20052, 16395, 16674, 16647, 18583, 16673, 16647, 19857, 37099, 18758, 16763, 24934, 16671, 17671, 16647, 23286, 16395, 46531, 16741, 16647, 51159, 23090, 25544, 21195, 16437, 16402, 23273, 23286, 16397, 21123, 16647, 21195, 16437, 16402, 16704, 34679, 16395, 16647, 28519, 17873, 16673, 16647, 19170, 25544, 23642, 23286, 16763, 19570, 16395, 16647, 16604, 16393, 16423, 16642, 16393, 16451, 27101, 37099, 18758, 16763, 39812, 16741, 16647, 58172, 18758, 16397, 18196, 16647, 20994, 17650, 16763, 21443, 16395, 16647, 16604, 16393, 16423, 16642, 16393, 16451, 27101, 37099, 18758, 16763, 18973, 16671, 16647, 17291, 16673, 16647, 25544, 23286, 16397, 16772, 25169, 51159, 23090, 23286, 16763, 49272, 16809, 44373, 16645, 16604, 16391, 18564, 16990, 31135, 16395, 19391, 16392, 16397, 16604, 16442, 23236, 16604, 16400, 16444, 16391, 16386, 16421, 16400, 16392, 16474, 18452, 16396, 18926, 16412, 16385, 19327, 16385, 16476, 34874, 16647, 23273, 20610, 16673, 16647, 20318, 21195, 16437, 16402, 16674, 25268, 16647, 17802, 20610, 16673, 16647, 34679, 21195, 16437, 16402, 53316, 38206, 16674, 25939, 38206, 16397, 28277, 16756, 22682, 16672, 16604, 16442, 22224, 16604, 16400, 16444, 16391, 16386, 16435, 16400, 16392, 16474, 18452, 16396, 18926, 16412, 16385, 22246, 16385, 16476, 16958, 20087, 16672, 25828, 16734, 16647, 51159, 23090, 21195, 16437, 16402, 23273, 23286, 16674, 21195, 16437, 16402, 20874, 23273, 23286, 16410, 16647, 20087, 58767, 16958, 49272, 16809, 44373, 16645, 16604, 16391, 18564, 16990, 31135, 16395, 19391, 16392, 16397, 16582, 16582, 16386, 16386, 16386, 16386, 16386, 16386, 16604, 16582, 16582, 34201, 16756, 17405, 16715, 16647, 20960, 16674, 27353, 16673, 16647, 58549, 23878, 16397, 16582, 16582, 16650, 34201, 16646, 63799, 16582, 16650, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 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, 16650, 21805, 16437, 16402, 16727, 16400, 16409, 16604, 16404, 29084, 16396, 51774, 16442, 18593, 16422, 20091, 16435, 16444, 16474, 16397, 16748, 16476, 31488, 28933, 33060, 17841, 28933, 33060, 20091, 28933, 28933, 16422, 16396, 16402, 29084, 16410, 16582, 16650, 21805, 16437, 16402, 16790, 16401, 16409, 16604, 16404, 29084, 16396, 63764, 16442, 18593, 16422, 20091, 16435, 16444, 16474, 16397, 16748, 16476, 51774, 28933, 16422, 29398, 29398, 51774, 48752, 39378, 16396, 16402, 29084, 16410, 16582, 16650, 21805, 16437, 16402, 16790, 16402, 16409, 16604, 16404, 29084, 16396, 16796, 16422, 29398, 31488, 33060, 16422, 52406, 18513, 28933, 33060, 16422, 16396, 16402, 29084, 16410, 16582, 16650, 21805, 16437, 16402, 16727, 16401, 16409, 16604, 16404, 29084, 16396, 16418, 28933, 28933, 20138, 19573, 28933, 17841, 19573, 28933, 18513, 18593, 16422, 20091, 16435, 16396, 16402, 29084, 16410, 16582, 16650, 21805, 16437, 16402, 20874, 16604, 16393, 16417, 16707, 16393, 41309, 16409, 16604, 16404, 29084, 16396, 16418, 28933, 16442, 33060, 17841, 19573, 16444, 16474, 16397, 16748, 16476, 17841, 16422, 20138, 18513, 18513, 20138, 20138, 20091, 17841, 17841, 21512, 20138, 18593, 16396, 16402, 29084, 16410, 16582, 16650, 21805, 16437, 16402, 20874, 16604, 16393, 16423, 16642, 16393, 16451, 27101, 16409, 16604, 16404, 29084, 16396, 51774, 16442, 18593, 16422, 20091, 16435, 16444, 16474, 16397, 16748, 16476, 29398, 20138, 20138, 16416, 18513, 33060, 26878, 55774, 22238, 18513, 25360, 17841, 16418, 16396, 16402, 29084, 16582, 16582, 16853, 17131, 28439, 29886, 18658, 37099, 36533, 21186, 22204, 16397, 21195, 16437, 16402, 16727, 16400, 16395, 21195, 16437, 16402, 16790, 16401, 16409, 21195, 16437, 16402, 18293, 35085, 53316, 58767, 16410, 21195, 16437, 16402, 16790, 16402, 16704, 16641, 27123, 40550, 23286, 16673, 21195, 16437, 16402, 16790, 16401, 16410, 21195, 16437, 16402, 16727, 16401, 16704, 16647, 57850, 23286, 17718, 16671, 16647, 38206, 26570, 18758, 16673, 21195, 16437, 16402, 16790, 16401, 16410, 21195, 16437, 16402, 20874, 57065, 41309, 16395, 21195, 16437, 16402, 20874, 33809, 27101, 16409, 16772, 17802, 16673, 16647, 38206, 16704, 16647, 27123, 28759, 16673, 16647, 20809, 22835, 16673, 21195, 16437, 16402, 16734, 16647, 20874, 23273, 23286, 16395, 16674, 18462, 58767, 16958, 17177, 20087, 18745, 16671, 16647, 27123, 40550, 23642, 23286, 16397, 16582, 16582, 16384, 16442, 21805, 16437, 16402, 31589, 23273, 51159, 16990, 17351, 16397, 16604, 16393, 16393, 16391, 16416, 16392, 16393, 16393, 16778, 16842, 58776, 25544, 23273, 23286, 16673, 21195, 16437, 16402, 23858, 16604, 16393, 16423, 16642, 16393, 16451, 27101, 37099, 21186, 16397, 16772, 16604, 16393, 16423, 16642, 16393, 16451, 27101, 37099, 18758, 31741, 16741, 16647, 58172, 18758 ]
[ 0, 16396, 16396, 16396, 16582, 38841, 16409, 16604, 16390, 58337, 16704, 16667, 17889, 16674, 21197, 18383, 16673, 17586, 16715, 16604, 16402, 16419, 31991, 16674, 24305, 23954, 16672, 16647, 18676, 16673, 20117, 21936, 16674, 20117, 29342, 16397, 51614, 16647, 21535, 16673, 16604, 16402, 16419, 22005, 25521, 16395, 16986, 16807, 16992, 24730, 18147, 20849, 54618, 16709, 17072, 16671, 18658, 16604, 16402, 16419, 31991, 17204, 17655, 18340, 16768, 37612, 27679, 16395, 22399, 16396, 17481, 16674, 17411, 23232, 16397, 18523, 16395, 16986, 16704, 17687, 18900, 16709, 17655, 39028, 17586, 16672, 18961, 17202, 16395, 18443, 16671, 16647, 29312, 16674, 38452, 16798, 16673, 39028, 17586, 16397, 16875, 16811, 19420, 16395, 16742, 32889, 16641, 39028, 35176, 19278, 16395, 20472, 16727, 29168, 24555, 16395, 16671, 18212, 16604, 16402, 16419, 22005, 25521, 16815, 39028, 17586, 16397, 16875, 16811, 18197, 16395, 18492, 16396, 26959, 16674, 20732, 43530, 16769, 22204, 16395, 16674, 16641, 18723, 25401, 16734, 18125, 16674, 20176, 25426, 16769, 21270, 16397, 16875, 16811, 17210, 16395, 16727, 29168, 24555, 16704, 17914, 16671, 24651, 16647, 29312, 16674, 38452, 16798, 18234, 16673, 39028, 16674, 19572, 16604, 16402, 16419, 22005, 25521, 17204, 16397, 17119, 16807, 21627, 16647, 21270, 16727, 29168, 24555, 18197, 16672, 16647, 21003, 16673, 16604, 16402, 16419, 22005, 30981, 16674, 53297, 16397, 49114, 18466, 16674, 37509, 16734, 16647, 17731, 16396, 17663, 16396, 17347, 16396, 16808, 20625, 26157, 16721, 16647, 21270, 16727, 29168, 24555, 16843, 20449, 33064, 16604, 16402, 16419, 22005, 30981, 16674, 53297, 18980, 16395, 16944, 26078, 16647, 29151, 16673, 16647, 21270, 18197, 16709, 16604, 16402, 16419, 22005, 25521, 16397, 16390, 16582, 26371, 16409, 16582, 16396, 16604, 16475, 16582, 16696, 16440, 16698, 16882, 59834, 16395, 16445, 16400, 16445, 16966, 16736, 16657, 59834, 16395, 16445, 16401, 16445, 22097, 18289, 23249, 17332, 16395, 16445, 16400, 16445, 18126, 16949, 16642, 64725, 16445, 16400, 16445, 16442, 16445, 16400, 16444, 16395, 16966, 16878, 16796, 23781, 16445, 16400, 16445, 16443, 16582, 16696, 16445, 16400, 16445, 25940, 16433, 16771, 16395, 59529, 34624, 16395, 18795, 16673, 27951, 16395, 32876, 16661, 58282, 18059, 16395, 19391, 16397, 16443, 16582, 16696, 16445, 16401, 16445, 34452, 16673, 22698, 21209, 16674, 25280, 16395, 18126, 19143, 16652, 18059, 16443, 16582, 16696, 16474, 16453, 17594, 16396, 30087, 16400, 16404, 16395, 17316, 32709, 16395, 35997, 17456, 16878, 16476, 16415, 17311, 16661, 58282, 16397, 23927, 16397, 30871, 16395, 16604, 16474, 18888, 16657, 16453, 17594, 16408, 16406, 16395, 16766, 18289, 16468, 17249, 16663, 16476, 16415, 37538, 16397, 17070, 16443, 16582, 23718, 16409, 16604, 16390, 58337, 24555, 16409, 16727, 29168, 18381, 17710, 23319, 16715, 16604, 16402, 16419, 60735, 27695, 16725, 16390, 16582, 16396, 16396, 16396, 16582, 16582, 38194, 16582, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16582, 16582, 28663, 16396, 29359, 16604, 16391, 16402, 16419, 16392, 22005, 25521, 16704, 16917, 16673, 16647, 17154, 24812, 24640, 16672, 16647, 18676, 16673, 20117, 21936, 16674, 20117, 29342, 16397, 16875, 18961, 17202, 16395, 16734, 16647, 20209, 21003, 16672, 16604, 16402, 16419, 31991, 16395, 24730, 20849, 16604, 16442, 16415, 51639, 16401, 16399, 16400, 16404, 16402, 16451, 16410, 16604, 16415, 16717, 16990, 16401, 16399, 16400, 16404, 17258, 16904, 16652, 16688, 16444, 16807, 16992, 35678, 16709, 16604, 16402, 16419, 22005, 25521, 16674, 21270, 20625, 16769, 24228, 21627, 16715, 17476, 25004, 16395, 17274, 16741, 30981, 16674, 53297, 16397, 16582, 16582, 18264, 16604, 16402, 16419, 31991, 16395, 16986, 16769, 18295, 19500, 20286, 16673, 17586, 16395, 17789, 18340, 16768, 37612, 27679, 16395, 22399, 16396, 17481, 16395, 17411, 23232, 16674, 39028, 16397, 18419, 16647, 18141, 16673, 19431, 19470, 20625, 16672, 20117, 21936, 16395, 17259, 35176, 19278, 20625, 16807, 16992, 22204, 16671, 19572, 16604, 16402, 16419, 22005, 25521, 17655, 18340, 16768, 37612, 27679, 16604, 16442, 16415, 51639, 16401, 16399, 16400, 16404, 16402, 16451, 16410, 16604, 16415, 16460, 18690, 18599, 16401, 16399, 16400, 16404, 16469, 18289, 20133, 16444, 16395, 22399, 16396, 17481, 16604, 16442, 16415, 25199, 16401, 16399, 16400, 16404, 45026, 16444, 16674, 17411, 23232, 16604, 16442, 16415, 54642, 16401, 16399, 16400, 16406, 20352, 20133, 16444, 16397, 24626, 24555, 16604, 16442, 16415, 54642, 16401, 16399, 16400, 16406, 20352, 20133, 16444, 42574, 16671, 18212, 16709, 17411, 23232, 20206, 16674, 58215, 16647, 26390, 18234, 16734, 16972, 16396, 20352, 37688, 16396, 40804, 16396, 22194, 17289, 17751, 16604, 16391, 22274, 16431, 16392, 16674, 16641, 40112, 17917, 16397, 17376, 19628, 16672, 25173, 16604, 16400, 16395, 20290, 16986, 16807, 16992, 18961, 20426, 20625, 17655, 16647, 20286, 16673, 18340, 16768, 37612, 27679, 16395, 22399, 16396, 17481, 16674, 17411, 23232, 16395, 16715, 16647, 39028, 17586, 16395, 16986, 16769, 17097, 18334, 20625, 17655, 17459, 24866, 19696, 20206, 16395, 17274, 16741, 16647, 17778, 47531, 38109, 23796, 55128, 16604, 16391, 20961, 16423, 16392, 16604, 16442, 16415, 62300, 29020, 16657, 16401, 16399, 16399, 16402, 24116, 16725, 16444, 16395, 16944, 24727, 16647, 21003, 16673, 39028, 17586, 16397, 16582, 16582, 16384, 16442, 16393, 16393, 16853, 21625, 18496, 16673, 16604, 16402, 16419, 22005, 25521, 17655, 17476, 20286, 16673, 17586, 16397, 16393, 16393, 16772, 18126, 16396, 30569, 26078, 16647, 21270, 17005, 16673, 17492, 18197, 16395, 16674, 16647, 16966, 16396, 30569, 26078, 16647, 30981, 26656, 16397, 16442, 16444, 16474, 19280, 16396, 19974, 16412, 16385, 19327, 16409, 16974, 16689, 16385, 16476, 16444, 16391, 37522, 16401, 16397, 26338, 16392, 16474, 21660, 16412, 16385, 16402, 16397, 16405, 16642, 16385, 16476, 16582, 16582, 16384, 16442, 24481, 16444, 16391, 63815, 16403, 16397, 26338, 16392, 16474, 21660, 16412, 16385, 16405, 16397, 16404, 16642, 16385, 16476, 16582, 16582, 58337, 17586, 16673, 16604, 16402, 16419, 31991, 16704, 16641, 20555, 16673, 45795, 16395, 30317, 16674, 24304, 16395, 16944, 16704, 25067, 20335, 17405, 16672, 20117, 29342, 16715, 38021, 16674, 39571, 16604, 16402, 16419, 20609, 16397, 16727, 29168, 17586, 16872, 16647, 21454, 16673, 29312, 16674, 38452, 16798, 16397, 16772, 29312, 18234, 16704, 16721, 39028, 25438, 16673, 19705, 21025, 16395, 16674, 17476, 20286, 16673, 25884, 17123, 16703, 21365, 18493, 17007, 16397, 16772, 38452, 16798, 16704, 17653, 20929, 16715, 39028, 17586, 22402, 16395, 16944, 26078, 16721, 16647, 17679, 16673, 21025, 16672, 39028, 17123, 24195, 32296, 18493, 16604, 16402, 16419, 31991, 16395, 16674, 26623, 54789, 16673, 17007, 16769, 34820, 16397, 16875, 32478, 16673, 17213, 19153, 16395, 39028, 16872, 25012, 19629, 16715, 16604, 16402, 16419, 22005, 23289, 17032, 16977, 20286, 16673, 17586, 16397, 21214, 17274, 23258, 16395, 17072, 16671, 23654, 18658, 16604, 16402, 16419, 31991, 17655, 39028, 17586, 16704, 16667, 34781, 16674, 24809, 21535, 16397, 16582, 16582, 17071, 16811, 19420, 16395, 16742, 17875, 16641, 39028, 35176, 19278, 16395, 20472, 16727, 29168, 24555, 16395, 16721, 39921, 16709, 39028, 17586, 20206, 16715, 16604, 16402, 16419, 22005, 25521, 16397, 17999, 18335, 16734, 16647, 21532, 16672, 39028, 17586, 22402, 16395, 16647, 24304, 16769, 29819, 16741, 16647, 20666, 16674, 25884, 17415, 24304, 22254, 18545, 30317, 16769, 21365, 16395, 16944, 28434, 16907, 16671, 24651, 16647, 29312, 16674, 38452, 16798, 18234, 16734, 16972, 16396, 18549, 22089, 16674, 16641, 40112, 17917, 16397, 26367, 16395, 16647, 20732, 16673, 24304, 16704, 24105, 17065, 31517, 16674, 28073, 19696, 16397, 27733, 16709, 17213, 20385, 16395, 16742, 17802, 16647, 19278, 25401, 16395, 16734, 17142, 25426, 20472, 31517, 16674, 28073, 28412, 17035, 16715, 19470, 16647, 20808, 19696, 16395, 16674, 16641, 39028, 20177, 18755, 19623, 16715, 28432, 17160, 38522, 19696, 16397, 16875, 16811, 17210, 16395, 16647, 21270, 18197, 16704, 17914, 16671, 24651, 16647, 29312, 16674, 38452, 16798, 18234, 16673, 39028, 16674, 18658, 16604, 16402, 16419, 31991, 17204, 16397, 16582, 16582, 17507, 20746, 17038, 16727, 29168, 24555, 18197, 16672, 16647, 25004, 16673, 16604, 16402, 16419, 22005, 30981, 16674, 53297, 16709, 16647, 26712, 24555, 16403, 16399, 16604, 16442, 16415, 51639, 16401, 16399, 16400, 16404, 16402, 16451, 16444, 35711, 16397, 17294, 16647, 26182, 18466, 17299, 16721, 16727, 29168, 24555, 20449, 18650, 24206, 16709, 16604, 16402, 16419, 22005, 30981, 16674, 53297, 17655, 39028, 17586, 16674, 31065, 18980, 16734, 18961, 20625, 17655, 16977, 20286, 16673, 16604, 16402, 16419, 17586, 16397, 16582, 16582, 16853, 18474, 25691, 16673, 17038, 16985, 16769, 16741, 21983, 16409, 16582, 16582, 16396, 16650, 17119, 32889, 16641, 35176, 19278, 17655, 39028, 16715, 16604, 16402, 16419, 22005, 25521, 16674, 17802, 25426, 16715, 39925, 16674, 28432, 17160, 19696, 16673, 20932, 24740, 24304, 16672, 16604, 16402, 16419, 31991, 16397, 16582, 16582, 16396, 16650, 17119, 19572, 24730, 25717, 16671, 26828, 16647, 18980, 16673, 16647, 21270, 18197, 16395, 16674, 16647, 26182, 18466, 17299, 16721, 16647, 21270, 18197, 33778, 17204, 16709, 16647, 16604, 16402, 16419, 22005, 30981, 16674, 53297, 21535, 16397, 16582, 16582, 31763, 21246, 16582, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16582, 16582, 58337, 45934, 24182, 25027, 16582, 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, 18377, 16769, 22460, 16673, 17459, 24866, 28412, 17035, 16721, 24303, 19696, 16815, 39028, 16397, 16604, 16415, 17151, 16652, 16400, 16408, 16407, 16403, 41596, 16675, 31284, 23395, 16673, 17492, 16640, 36120, 17246, 17751, 16672, 39028, 16604, 16442, 16415, 17151, 16652, 16400, 16408, 16407, 16403, 41596, 16675, 16444, 16395, 16674, 16604, 16415, 27466, 16990, 16401, 16399, 16399, 16400, 48594, 17460, 16922, 22072, 21627, 16671, 17492, 40298, 16674, 17188, 16858, 16647, 23526, 19795, 16741, 19696, 16604, 16442, 16415, 27466, 16990, 16401, 16399, 16399, 16400, 48594, 16444, 16397, 16604, 16415, 50341, 26975, 16401, 16399, 16399, 16400, 26952, 18934, 18755, 25929, 16647, 19696, 16673, 30877, 16671, 16641, 18180, 18934, 18755, 20989, 16671, 24651, 16647, 16819, 57915, 18234, 16673, 39028, 17586, 16604, 16442, 16415, 50341, 26975, 16401, 16399, 16399, 16400, 26952, 18934, 18755, 16444, 16397, 16875, 25116, 16423, 16604, 16442, 16415, 62300, 29020, 16657, 16401, 16399, 16399, 16402, 24116, 16725, 16444, 16395, 16641, 29992, 47928, 25521, 16704, 20905, 16734, 21160, 29944, 27158, 28412, 17035, 16397, 16727, 29168, 19777, 16673, 27430, 18232, 18218, 16604, 16391, 16419, 23105, 16392, 37193, 16647, 49971, 43494, 16671, 22005, 22072, 16397, 16442, 16415, 16473, 17162, 18552, 29655, 16401, 16399, 16399, 16408, 53044, 16444, 56134, 36977, 22005, 20409, 16604, 16391, 57884, 16392, 55128, 16604, 16442, 16415, 37021, 22326, 16786, 16401, 16399, 16400, 16401, 16974, 16465, 36977, 16444, 34115, 16641, 64760, 16671, 30877, 16674, 58215, 16647, 18234, 16673, 27285, 17194, 55361, 16397, 16582, 16582, 41331, 26779, 33486, 16715, 16604, 16402, 16419, 60735, 27695, 16725, 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, 16582, 16582, 19132, 16647, 20960, 16673, 18122, 16396, 24609, 16604, 16402, 16419, 18528, 43713, 16395, 22652, 19431, 28412, 17035, 16673, 16604, 16402, 16419, 31991, 16769, 21270, 16397, 27733, 16709, 17476, 20286, 16673, 17586, 16395, 17213, 20625, 16843, 16703, 54244, 17065, 17910, 20286, 16397, 16582, 16582, 16393, 16437, 18289, 16744, 16396, 19338, 18197, 16397, 16393, 16604, 16402, 16419, 47311, 16429, 17499, 16604, 16442, 16415, 51639, 16401, 16399, 16400, 16404, 16402, 16451, 16444, 16674, 16965, 18289, 24555, 16604, 16442, 16415, 16460, 18690, 18599, 16401, 16399, 16400, 16404, 16469, 18289, 20133, 16444, 32889, 16671, 18212, 16709, 18340, 16768, 37612, 17062, 18145, 16395, 16944, 35194, 16647, 18692, 17065, 19607, 62767, 16397, 18523, 16395, 16873, 26551, 19544, 44541, 17985, 18443, 16671, 16647, 17020, 40924, 16673, 17586, 16395, 16944, 21479, 16466, 17007, 16671, 16703, 21627, 16709, 16922, 19680, 17586, 16397, 25571, 18033, 16661, 35176, 23905, 16604, 16391, 25622, 24188, 16392, 16604, 16442, 16415, 17151, 16401, 16399, 16400, 16405, 42286, 32429, 16444, 16395, 44807, 16402, 16419, 16604, 16442, 16415, 50219, 16401, 16399, 16400, 16404, 57823, 16444, 16674, 18657, 17025, 16396, 19338, 20177, 18755, 16666, 35176, 19278, 16604, 16391, 20523, 24188, 16392, 16604, 16442, 16415, 50219, 16401, 16399, 16400, 16406, 30871, 16461, 16444, 18751, 16647, 17020, 40924, 18234, 16395, 17437, 16873, 16769, 17363, 30014, 16734, 20820, 18119, 21036, 16397, 16582, 16582, 16393, 20020, 16396, 19338, 18197, 16397, 16393, 25453, 16604, 16401, 16419, 21014, 16673, 16604, 16402, 16419, 31991, 16671, 18658, 17007, 16704, 21270, 16809, 37688, 16396, 17481, 20177, 18755, 16666, 35176, 23905, 16604, 16391, 16428, 32151, 24188, 16392, 16604, 16442, 16415, 25199, 16401, 16399, 16400, 16404, 45026, 16444, 16395, 16944, 28432, 17099, 16604, 16401, 16419, 21855, 16815, 16641, 25623, 17473, 16647, 18597, 16674, 27352, 16604, 16401, 16419, 19431, 19470, 24819, 16671, 17007, 16397, 19859, 16396, 17481, 20177, 18755, 16666, 35176, 23905, 16604, 16391, 16422, 32151, 24188, 16392, 16604, 16442, 16415, 16453, 17594, 16401, 16399, 16400, 16407, 16454, 16469, 30871, 16461, 16444, 42574, 16641, 54180, 24819, 16395, 16944, 56580, 21855, 17065, 17476, 19318, 16734, 17476, 36223, 16671, 24339, 16641, 16922, 50094, 17225, 55128, 16715, 16641, 16604, 16402, 16419, 22005, 16397, 17170, 18383, 16673, 18197, 17027, 17390, 30768, 25107, 16647, 44541, 17985, 16674, 16704, 17747, 16671, 16703, 21627, 16715, 25004, 16672, 21036, 24988, 16397, 16582, 16582, 16393, 23947, 16396, 19338, 18197, 16397 ]
[ 0, 38194, 16604, 16474, 16386, 37256, 16400, 16476, 16582, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16582, 16582, 17409, 16872, 16992, 17204, 20916, 16721, 16647, 28519, 16956, 18356, 16673, 16647, 59071, 20466, 49685, 16672, 46576, 23294, 16641, 24141, 18528, 16673, 16647, 22089, 26592, 18155, 38409, 16715, 16647, 24566, 62413, 16673, 16647, 17840, 16674, 16673, 17073, 17917, 16395, 16672, 16811, 17843, 16395, 16647, 19378, 16674, 52314, 16673, 24949, 16397, 17170, 17654, 16763, 18613, 45923, 17014, 16672, 16604, 16401, 16399, 16399, 16405, 17142, 19831, 20332, 16647, 21057, 16673, 16641, 18494, 16852, 16713, 16919, 54385, 18155, 40725, 16647, 19629, 16671, 19765, 35616, 16758, 16647, 25201, 20666, 16673, 16647, 49685, 16395, 16647, 59071, 20466, 16813, 16690, 16723, 16730, 16445, 16442, 16415, 23965, 16400, 16444, 16395, 16442, 16415, 23965, 16401, 16444, 16445, 16397, 23079, 16395, 16641, 18494, 18155, 39850, 16872, 16992, 19074, 16671, 16703, 17914, 16671, 44415, 16672, 16641, 31004, 16708, 18076, 17434, 25095, 17065, 16813, 16690, 19992, 23820, 21864, 16809, 16641, 18545, 41880, 16666, 17434, 16397, 16772, 17142, 18155, 27440, 16769, 21681, 16850, 16946, 63218, 19796, 16674, 19881, 16673, 16667, 24296, 22450, 16673, 40479, 26982, 21990, 44805, 16400, 16407, 16445, 16394, 16445, 50056, 17667, 19487, 16674, 16667, 28405, 22450, 16673, 40479, 26982, 21990, 44805, 16400, 16403, 16445, 16394, 16445, 16887, 16462, 16934, 16654, 36190, 19487, 16445, 16442, 16415, 23965, 16401, 16444, 16445, 16397, 16875, 26230, 17202, 16395, 18613, 19831, 16958, 21996, 16891, 16709, 16647, 40545, 16673, 16811, 36277, 16673, 59071, 20466, 16852, 16713, 16919, 54385, 27100, 19487, 16672, 16647, 18206, 16785, 16672, 29105, 21617, 16674, 16709, 16647, 24316, 16674, 29304, 22089, 16673, 22739, 27100, 19487, 17490, 16672, 40632, 16674, 54098, 40262, 16445, 16442, 16415, 23965, 16402, 16444, 16396, 16396, 16442, 16415, 23965, 16405, 16444, 16445, 16397, 16772, 55462, 16674, 32225, 16673, 17213, 19487, 16672, 16977, 20969, 16704, 17366, 16922, 18882, 18443, 16671, 16647, 19744, 16673, 20969, 16396, 27044, 31395, 17624, 16674, 16647, 27793, 16673, 18462, 35705, 16715, 16647, 18403, 20969, 20290, 18155, 32225, 16674, 40545, 16872, 16992, 19074, 16672, 16647, 16660, 57232, 16395, 17895, 25653, 16395, 63243, 16674, 16662, 20976, 20969, 16604, 16445, 16442, 16415, 23965, 16406, 16444, 16396, 16396, 16442, 16415, 23965, 16400, 16399, 16444, 16445, 16397, 42566, 16395, 18493, 31961, 16666, 18218, 20969, 16395, 16734, 18577, 16671, 16647, 18356, 16674, 24375, 16673, 16647, 16813, 16690, 19992, 25201, 20666, 16674, 16647, 56293, 25732, 16673, 16647, 59071, 20466, 49685, 16395, 16647, 61754, 18356, 16673, 16647, 59071, 20466, 49685, 16672, 23304, 16674, 16792, 24276, 17575, 16704, 18655, 16445, 16442, 16415, 23965, 16400, 16400, 16444, 16445, 16395, 34501, 16647, 19056, 16673, 16792, 24276, 16795, 20969, 16671, 21071, 16741, 21221, 20609, 16715, 16641, 17607, 20287, 16673, 18206, 23665, 18356, 16674, 20053, 16397, 16582, 16582, 17071, 16647, 22833, 63134, 40545, 16673, 16811, 17785, 27100, 18155, 19971, 16395, 16991, 20293, 34439, 18560, 16671, 16703, 20916, 16674, 16672, 17015, 18545, 18493, 20969, 16395, 17274, 16741, 33963, 16396, 16405, 19727, 16642, 16604, 16391, 22942, 16403, 16408, 16453, 16392, 16674, 21305, 16401, 16403, 16445, 16442, 16415, 23965, 16400, 16401, 16444, 16396, 16396, 16442, 16415, 23965, 16400, 16404, 16444, 16445, 16741, 17204, 16741, 51705, 40665, 16944, 16807, 16992, 29054, 16715, 16991, 20969, 16604, 16391, 16456, 16397, 16452, 16397, 25739, 16673, 25629, 43611, 16400, 19962, 16445, 16442, 16415, 23965, 16400, 16405, 16444, 16445, 16397, 26713, 16395, 16728, 16704, 17204, 23013, 16721, 16811, 27100, 18155, 36277, 16704, 44239, 16672, 18399, 24426, 16734, 16647, 51615, 22450, 16673, 16647, 16813, 16690, 16723, 16730, 16445, 16442, 16415, 23965, 16400, 16406, 16444, 16445, 16397, 16582, 16582, 16431, 16396, 16418, 16705, 16761, 16642, 16704, 16641, 35658, 16396, 32435, 18155, 16396, 16396, 18933, 52354, 29921, 34756, 50742, 16734, 16641, 17616, 16837, 17957, 17917, 16672, 18295, 32113, 16674, 17073, 17830, 16704, 26552, 16815, 16647, 18758, 17187, 16811, 52354, 38636, 16763, 63497, 29781, 16395, 16647, 16852, 27244, 16448, 16445, 16442, 16415, 23965, 16400, 16407, 16444, 16445, 16397, 16999, 16794, 23539, 16641, 25573, 18814, 16672, 16647, 28669, 16673, 16647, 28073, 28523, 16673, 49549, 32113, 16674, 53189, 22089, 19423, 16672, 60463, 18356, 16674, 24316, 16673, 22739, 24588, 25401, 16395, 17889, 16715, 18155, 38409, 16395, 18155, 22005, 16395, 18155, 27944, 16798, 16395, 19134, 16674, 30201, 16445, 16442, 16415, 23965, 16400, 16408, 16444, 16396, 16396, 16442, 16415, 23965, 16401, 16400, 16444, 16445, 16397, 16582, 16582, 16431, 16396, 16418, 16705, 16761, 16642, 16704, 16673, 17654, 16672, 16721, 16728, 21846, 16641, 18814, 17490, 17560, 60463, 18356, 16674, 17560, 16647, 22089, 16673, 38409, 16673, 22739, 24588, 16395, 27187, 17073, 25401, 17181, 18155, 38409, 16395, 27944, 16798, 20384, 16395, 16647, 36942, 16673, 30201, 16674, 36793, 16445, 16442, 16415, 23965, 16401, 16401, 16444, 16445, 16397, 16582, 16582, 27631, 17255, 23078, 16672, 18206, 49242, 20189, 16445, 16442, 16415, 23965, 16401, 16402, 16444, 16395, 16442, 16415, 23965, 16401, 16403, 16444, 16445, 16395, 16739, 16396, 16418, 16705, 16761, 16642, 16704, 17875, 16672, 18295, 22739, 32113, 16395, 19294, 17055, 16396, 23634, 19298, 16734, 16799, 16396, 16418, 16705, 16761, 16642, 16395, 17274, 16741, 16647, 51615, 22450, 16673, 16647, 29086, 17166, 16656, 16395, 16647, 59071, 20466, 49685, 16674, 16647, 38398, 16395, 16741, 17204, 16741, 16647, 25240, 23094, 44902, 16395, 16647, 35820, 16936, 16395, 16647, 41681, 17307, 16395, 16647, 20636, 39973, 17972, 16395, 16674, 16647, 17496, 17022, 16666, 17291, 23094, 44902, 16445, 16442, 16415, 23965, 16401, 16404, 16444, 16445, 16397, 16582, 16582, 17409, 16872, 16992, 19074, 16721, 16739, 16396, 16418, 16705, 16761, 16642, 17123, 16703, 19423, 16672, 16647, 31936, 16673, 59071, 20466, 27100, 19487, 16741, 17073, 20825, 16763, 21852, 16672, 16641, 31395, 17242, 57689, 16734, 16641, 49494, 18655, 16671, 16647, 51615, 49549, 19487, 16674, 16944, 17055, 16396, 23634, 19298, 16734, 31442, 35538, 16395, 16641, 37732, 21348, 16721, 53189, 35285, 16761, 16642, 24507, 16674, 16647, 24507, 19423, 16672, 59071, 20466, 49549, 18155, 18089, 17553, 16445, 16442, 16415, 23965, 16401, 16405, 16444, 16445, 16395, 16850, 17989, 16647, 51615, 16785, 16887, 16462, 16934, 16654, 36190, 22450, 17187, 16647, 36277, 16673, 19133, 54385, 19487, 16769, 22816, 16671, 43849, 16445, 16442, 16415, 23965, 16401, 16406, 16444, 16396, 16396, 16442, 16415, 23965, 16401, 16408, 16444, 16445, 16397, 26367, 17560, 16647, 23777, 16673, 16647, 49685, 16395, 16739, 16396, 16418, 16705, 16761, 16642, 16704, 17494, 16672, 27100, 19487, 16721, 17882, 21691, 16671, 16647, 16887, 16462, 16934, 16654, 36190, 18155, 22450, 16395, 46531, 17895, 19487, 16445, 16442, 16415, 23965, 16402, 16399, 16444, 16395, 16442, 16415, 23965, 16402, 16400, 16444, 16445, 16397, 16875, 23065, 16395, 16672, 16647, 30985, 43597, 17160, 49685, 16395, 16739, 16396, 16418, 16705, 16761, 16642, 16704, 23078, 16672, 18206, 16813, 16690, 19992, 19487, 16395, 16647, 21932, 21022, 16715, 24949, 22036, 19378, 16445, 16442, 16415, 23965, 16402, 16401, 16444, 16445, 16397, 16582, 16582, 18313, 19346, 16395, 18919, 16395, 16986, 16704, 17028, 25201, 19591, 16673, 16647, 18814, 16673, 16739, 16396, 16418, 16705, 16761, 16642, 16715, 16647, 21661, 16673, 16641, 59071, 20466, 16813, 16690, 16723, 16730, 16674, 19732, 17917, 16397, 19814, 16728, 16704, 19550, 16671, 23204, 16647, 18230, 27353, 16673, 16641, 17009, 33544, 24053, 16671, 59071, 20466, 27100, 18155, 27319, 16395, 16672, 18343, 16715, 16641, 20969, 17187, 17589, 27732, 34439, 16769, 18125, 16395, 16728, 16704, 19865, 16671, 27768, 16647, 31395, 22089, 16721, 19947, 16672, 16811, 18155, 36277, 16672, 16647, 21057, 16673, 16739, 16396, 16418, 16705, 16761, 16642, 16397, 16582, 16582, 16853, 20199, 16673, 16811, 18147, 16704, 16671, 26157, 16647, 28450, 16673, 16739, 16396, 16418, 16705, 16761, 16642, 16672, 16647, 40545, 16673, 16647, 31395, 49494, 16673, 22739, 27100, 19487, 16672, 16647, 59071, 20466, 49685, 16674, 16671, 17556, 16944, 24507, 16769, 33331, 16672, 16811, 18814, 17560, 16647, 17650, 16673, 59071, 20466, 38409, 17181, 29703, 16838, 19335, 16397, 16582, 16582, 32271, 16604, 16474, 16386, 37256, 16401, 16476, 16582, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16582, 16582, 16421, 22300, 21060, 16673, 16647, 59071, 20466, 49549, 17242, 24014, 21460, 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, 16853, 20825, 16673, 21305, 16403, 16408, 16453, 16397, 16674, 16739, 16396, 16418, 16705, 16761, 16642, 16958, 28060, 16809, 19924, 40479, 26543, 16672, 59071, 20466, 49549, 19487, 30345, 16815, 20545, 63159, 28340, 19451, 16733, 16736, 16756, 16397, 18916, 39492, 16673, 19357, 19487, 16395, 17910, 17242, 24014, 21460, 16958, 21766, 18745, 16671, 16647, 20825, 19415, 16673, 17490, 34439, 16604, 16391, 24001, 16397, 18331, 16442, 16400, 16444, 16391, 16386, 24001, 16400, 16392, 16474, 18452, 16396, 18926, 16412, 16385, 19327, 16385, 16476, 16392, 16397, 16711, 20639, 20809, 19971, 16604, 16391, 22942, 16403, 16408, 16453, 16445, 27642, 16445, 16398, 16431, 16396, 16418, 16705, 16761, 16642, 16445, 27642, 16445, 16392, 16395, 16641, 20349, 21305, 16403, 16408, 16453, 19508, 16398, 16431, 16396, 16418, 16705, 16761, 16642, 20809, 19971, 16604, 16391, 22942, 16403, 16408, 16453, 16445, 25538, 16445, 16398, 16431, 16396, 16418, 16705, 16761, 16642, 16445, 27642, 16445, 16392, 16395, 16641, 22767, 21305, 16403, 16408, 16453, 16398, 48776, 16739, 16396, 16418, 16705, 16761, 16642, 19508, 19971, 16604, 16391, 22942, 16403, 16408, 16453, 16445, 27701, 16445, 16398, 16431, 16396, 16418, 16705, 16761, 16642, 16445, 27701, 16445, 16392, 16674, 16641, 22767, 21305, 16403, 16408, 16453, 16398, 25538, 16697, 16739, 16396, 16418, 16705, 16761, 16642, 19508, 19971, 16604, 16391, 22942, 16403, 16408, 16453, 16445, 27701, 16445, 16398, 16431, 16396, 16418, 16705, 16761, 16642, 16445, 25538, 16445, 16392, 16958, 21766, 16672, 16858, 23375, 28060, 16397, 16772, 21559, 16673, 17213, 27319, 18937, 40848, 18493, 23375, 16409, 21305, 16403, 16408, 16453, 16445, 27642, 16445, 16398, 16431, 16396, 16418, 16705, 16761, 16642, 16445, 27642, 16445, 41147, 16815, 16604, 16404, 16671, 16604, 16402, 16399, 16397, 16406, 16388, 16395, 21305, 16403, 16408, 16453, 16445, 25538, 16445, 16398, 16431, 16396, 16418, 16705, 16761, 16642, 16445, 27642, 16445, 41147, 16815, 16604, 16400, 16399, 16397, 16402, 16671, 16604, 16404, 16401, 16397, 16405, 16388, 16395, 21305, 16403, 16408, 16453, 16445, 27701, 16445, 16398, 16431, 16396, 16418, 16705, 16761, 16642, 16445, 27701, 16445, 41147, 16815, 16604, 16407, 16397, 16405, 16671, 16604, 16403, 16399, 16397, 16405, 16388, 16674, 21305, 16403, 16408, 16453, 16445, 27701, 16445, 16398, 16431, 16396, 16418, 16705, 16761, 16642, 16445, 25538, 16445, 41147, 16815, 16604, 16402, 16397, 16408, 16671, 16604, 16403, 16399, 16388, 16397, 23236, 16604, 16400, 39856, 16661, 21084, 16715, 45496, 59071, 20466, 17242, 24014, 21460, 16397, 16772, 20458, 18937, 25923, 56462, 16938, 18031, 16673, 16641, 22281, 16673, 16660, 57232, 59071, 20466, 49549, 19487, 16674, 16647, 18723, 44419, 21084, 24934, 16397, 16711, 20240, 25061, 16763, 17280, 16715, 16647, 19902, 23239, 16395, 17177, 19122, 16721, 16958, 19508, 16715, 16604, 16406, 16396, 18593, 16419, 16604, 16391, 35684, 19487, 16392, 16674, 21305, 16403, 16404, 20464, 16394, 20464, 16391, 16677, 17495, 34784, 16392, 16958, 33553, 16815, 16647, 19971, 16673, 17654, 16397, 45382, 16958, 17177, 28344, 18745, 16671, 16647, 20825, 19415, 16673, 21305, 16403, 16408, 16453, 16674, 16739, 16396, 16418, 16705, 16761, 16642, 16397, 16582, 16582, 16853, 20825, 16673, 21305, 16403, 16404, 16763, 17027, 29054, 16674, 21305, 16403, 16404, 16445, 16394, 16445, 19487, 38619, 16715, 17827, 17032, 16604, 16404, 16388, 16673, 16647, 20089, 19971, 16672, 16858, 28060, 23375, 16397, 16582, 16582, 59008, 16673, 59071, 20466, 52459, 18349, 19487, 18493, 38378, 50598, 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, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 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, 17894, 16742, 16807, 21216, 19628, 16395, 16672, 22739, 16660, 57232, 59071, 20466, 24588, 16395, 17490, 27100, 19487, 16674, 22486, 16819, 16919, 54385, 52459, 18349, 19487, 16843, 16703, 21852, 16445, 16442, 16415, 23965, 16402, 16407, 16444, 16445, 16397, 16711, 16950, 16645, 31018, 34803, 17274, 16741, 16647, 16719, 22856, 20634, 16715, 16647, 25939, 16673, 20349, 33279, 17160, 19487, 16721, 16769, 22486, 16671, 18422, 16641, 16887, 16462, 16934, 16654, 36190, 16785, 16641, 50056, 17667, 49494, 16397, 17119, 21996, 16891, 16647, 16719, 22856, 34803, 16734, 16647, 17910, 38378, 50598, 16672, 17970, 16671, 26426, 18515, 16647, 52459, 21474, 16721, 16958, 17875, 16672, 16647, 59071, 20466, 24588, 16958, 19970, 16734, 16917, 16785, 16922, 16673, 16647, 22833, 33293, 16721, 16742, 21766, 16674, 20821, 16672, 16944, 16673, 16647, 17242, 24014, 21460, 16873, 56427, 16895, 16397, 16582, 16582, 17071, 16858, 16647, 31380, 17187, 19487, 16815, 16647, 21305, 16403, 16408, 16453, 16445, 27642, 16445, 16398, 16431, 16396, 16418, 16705, 16761, 16642, 16445, 27642, 16445, 50598, 16958, 62159 ]
[ 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, 51220, 27107, 37758, 54644, 20740, 16604, 16391, 22588, 16428, 16392, 16704, 16641, 22439, 21041, 20618, 20483, 27242, 16672, 17968, 16604, 16443, 16442, 16442, 16415, 16433, 16400, 16444, 16443, 16444, 16397, 56128, 29859, 17857, 16839, 16704, 19570, 16647, 18474, 16674, 50328, 16396, 48836, 17806, 21348, 16672, 16647, 19165, 16395, 20440, 16809, 18766, 50071, 16604, 16443, 16442, 16442, 16415, 16433, 16400, 16444, 16395, 16604, 16442, 16415, 16433, 16401, 16444, 16443, 16444, 16397, 26126, 16395, 38963, 16796, 26286, 16704, 31416, 23954, 16767, 16647, 27732, 16674, 47413, 19415, 16397, 22053, 50071, 21846, 16641, 20927, 18814, 16672, 43965, 30150, 16647, 17498, 16396, 16466, 37048, 38925, 20338, 16467, 44822, 16604, 16443, 16442, 16442, 16415, 16433, 16402, 16444, 16443, 16444, 16397, 24392, 16647, 27732, 16674, 47413, 19029, 17498, 16396, 20759, 21545, 16672, 38963, 16796, 26286, 16807, 16804, 16992, 17204, 28152, 16397, 17119, 16807, 19193, 21766, 17259, 26993, 16396, 56223, 24507, 16672, 22739, 31405, 18896, 25518, 16796, 26286, 19487, 16721, 21458, 16647, 31405, 18896, 26240, 16674, 19800, 51868, 19696, 16673, 51404, 16796, 26286, 16604, 16443, 16442, 16442, 16415, 16433, 16403, 16444, 16443, 16444, 16397, 18523, 16395, 22739, 16674, 38963, 34479, 24683, 16769, 23674, 16815, 17492, 16977, 16767, 17490, 27732, 16674, 25998, 19415, 16604, 16443, 16442, 16442, 16415, 16433, 16401, 16444, 16443, 16444, 16397, 17119, 16769, 31639, 16641, 17769, 31364, 41102, 23487, 16673, 17490, 16647, 26993, 16396, 18250, 61850, 38963, 16796, 26286, 16604, 16391, 16434, 16425, 16396, 22588, 16428, 16401, 16392, 18155, 18089, 16674, 24797, 31405, 18896, 25518, 38963, 16796, 26286, 16604, 16391, 16434, 16425, 16396, 22588, 16428, 16401, 16396, 16400, 16399, 17596, 16392, 18155, 18089, 16721, 16742, 19193, 20140, 16604, 16443, 16442, 16442, 16415, 16433, 16404, 16444, 16395, 16604, 16442, 16415, 16433, 16405, 16444, 16443, 16444, 16397, 19736, 17586, 25402, 16721, 26993, 41388, 16665, 16647, 20825, 16673, 17259, 24507, 19359, 16671, 17259, 17476, 18365, 33582, 16672, 20053, 31936, 16397, 16772, 43286, 29980, 19487, 35885, 16667, 28282, 19134, 18960, 16395, 56086, 19298, 18003, 16954, 19713, 16643, 17421, 16642, 16738, 16395, 16674, 17490, 17242, 48758, 16673, 16647, 18960, 16396, 19308, 18883, 36533, 16673, 23642, 33319, 28675, 57609, 43196, 16691, 18257, 16954, 16604, 16391, 36718, 16392, 16397, 16875, 16811, 18077, 16395, 16742, 32123, 18109, 16709, 16647, 55379, 38583, 39438, 19029, 16721, 22017, 16647, 27242, 19487, 20815, 16641, 16922, 27747, 16674, 37116, 17510, 16395, 16715, 16944, 19165, 24029, 16769, 20236, 16397, 17170, 18077, 26714, 16647, 19783, 16671, 18613, 37120, 16647, 23384, 16673, 30634, 17213, 26252, 33582, 16741, 16641, 31624, 21084, 16671, 19623, 16796, 26286, 27242, 50271, 16674, 31462, 16397, 16582, 16582, 51704, 16427, 21653, 16604, 16474, 16386, 16466, 16401, 16476, 16582, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16582, 16582, 16433, 26361, 18896, 25518, 43286, 29980, 38963, 16796, 26286, 19487, 35885, 18846, 19134, 18960, 17032, 18123, 19487, 16604, 16474, 16386, 16466, 16401, 16446, 16400, 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, 16582, 16582, 16853, 16604, 16393, 16642, 16396, 45414, 16689, 16393, 19134, 18960, 16673, 16647, 52087, 16396, 22588, 16428, 16401, 16674, 52087, 16396, 22588, 16428, 16401, 16396, 16400, 16399, 17596, 19487, 16763, 29054, 17655, 16667, 16727, 29398, 19134, 34803, 17030, 16641, 18472, 16673, 16604, 16400, 16399, 17897, 16397, 52087, 16396, 22588, 16428, 16401, 16396, 16400, 16399, 17596, 19487, 20332, 16641, 26375, 31739, 24592, 19134, 20089, 16815, 17386, 16604, 16402, 16395, 17961, 16647, 19777, 16672, 19134, 28864, 17521, 16709, 17386, 16604, 16406, 17014, 16647, 18123, 19487, 21777, 41319, 17285, 16914, 36793, 18960, 16604, 16391, 23236, 16604, 16442, 16400, 16444, 16391, 16386, 16421, 16400, 16392, 16474, 18452, 16396, 18926, 16412, 16385, 19327, 16385, 16476, 16392, 16397, 16772, 18123, 19487, 52087, 16396, 22588, 16428, 16401, 21339, 16931, 16604, 16406, 16397, 16403, 19134, 26893, 16672, 16604, 16400, 16399, 17897, 16395, 17437, 16647, 43286, 29980, 19487, 21339, 16641, 16604, 16400, 16399, 16397, 16404, 26893, 16815, 16914, 32320, 16397, 17170, 23294, 16667, 23381, 16604, 16402, 16399, 16388, 19031, 16672, 19134, 16604, 16391, 23236, 16604, 16442, 16400, 16416, 16444, 16391, 16386, 16421, 16400, 16392, 16474, 18452, 16396, 18926, 16412, 16385, 19327, 16385, 16476, 16392, 16397, 16582, 16582, 16384, 16442, 36598, 20759, 21545, 16673, 16647, 38963, 16796, 26286, 19487, 28282, 36793, 16674, 20825, 16673, 51868, 16396, 31024, 26147, 26513, 16409, 16443, 16582, 16391, 16393, 16393, 16416, 16393, 16393, 16392, 32014, 34734, 16673, 52087, 22588, 16428, 16401, 16674, 52087, 22588, 16428, 16401, 16396, 16400, 16399, 17596, 19487, 16397, 16604, 16391, 16393, 16393, 16417, 16393, 16393, 16392, 21994, 45095, 16715, 49791, 16727, 16400, 16604, 16391, 16408, 16403, 16822, 27786, 16392, 16674, 16727, 16401, 16604, 16391, 16403, 16404, 16822, 27786, 16392, 17242, 48758, 16674, 16764, 16396, 16450, 23409, 17421, 16642, 16738, 16604, 16391, 18023, 16396, 32572, 16417, 16392, 16604, 16391, 16403, 16402, 16822, 27786, 16392, 16672, 52087, 22588, 16428, 16401, 16674, 52087, 22588, 16428, 16401, 16396, 16400, 16399, 17596, 19487, 16397, 16604, 16391, 16393, 16393, 16418, 16393, 16393, 16392, 19883, 24813, 17663, 18350, 37362, 18033, 16661, 16715, 16778, 44731, 16401, 16674, 19713, 16643, 17421, 16642, 16738, 16604, 16391, 18023, 16396, 32572, 16417, 16392, 16672, 17490, 19487, 17135, 16641, 16604, 16401, 16403, 16678, 52577, 16672, 21012, 22767, 16397, 16604, 16445, 16443, 16393, 16445, 16393, 16431, 16604, 16443, 16411, 16604, 16399, 16397, 16399, 16404, 16393, 16397, 16444, 16391, 16645, 38531, 18315, 16396, 16399, 16408, 16396, 16402, 16403, 16400, 16401, 16401, 16396, 16454, 16399, 16399, 16400, 16392, 16474, 16386, 16421, 16400, 16476, 16582, 16582, 36598, 20759, 29980, 31405, 18896, 25518, 38963, 16796, 26286, 46763, 16471, 22235, 16659, 28675, 57609, 43196, 16691, 18257, 16954, 16604, 16474, 16386, 16466, 16401, 16446, 16401, 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, 16582, 16582, 18313, 31169, 16715, 16641, 25013, 27497, 16647, 26375, 19134, 18960, 16672, 43286, 29980, 19487, 16395, 16647, 20825, 16673, 17490, 28675, 57609, 43196, 16691, 18257, 16954, 16604, 16391, 36718, 16392, 17242, 48758, 16763, 23975, 16397, 16772, 49791, 36533, 16395, 22365, 16647, 16778, 44731, 16401, 59043, 16395, 16872, 16992, 19074, 16671, 16703, 22009, 16715, 36793, 16674, 31300, 16673, 16796, 26286, 19487, 16604, 16443, 16442, 16442, 16415, 16433, 16406, 16444, 16443, 16444, 16397, 38702, 17080, 24926, 17230, 16673, 18123, 16674, 43286, 29980, 19487, 22130, 16667, 19031, 16672, 16647, 20825, 16673, 16778, 44731, 16400, 59043, 16809, 16604, 16401, 16396, 29036, 16395, 16674, 16667, 19031, 16672, 16647, 16778, 44731, 16401, 59043, 16809, 16604, 16402, 16397, 16404, 16396, 29036, 16672, 43286, 29980, 19487, 20192, 16671, 18123, 19487, 16604, 16391, 23236, 16604, 16442, 16400, 16417, 16444, 16391, 16386, 16421, 16400, 16392, 16474, 18452, 16396, 18926, 16412, 16385, 19327, 16385, 16476, 16392, 16397, 17170, 19031, 16672, 31395, 20825, 16673, 16778, 44731, 16401, 16763, 22557, 16809, 24813, 17663, 18350, 37362, 18033, 16661, 16673, 36771, 19487, 16395, 38287, 16647, 21559, 16673, 16778, 44731, 16401, 16672, 16647, 57331, 16460, 16673, 16647, 43286, 29980, 19487, 16674, 16763, 20580, 17032, 16647, 18123, 19487, 16604, 16391, 23236, 16604, 16442, 16400, 16417, 16395, 16604, 16400, 16418, 16444, 16391, 16386, 16421, 16400, 16392, 16474, 18452, 16396, 18926, 16412, 16385, 19327, 16385, 16476, 16392, 16397, 16582, 16582, 36598, 20759, 29980, 31405, 18896, 25518, 38963, 16796, 26286, 46763, 16471, 22235, 16659, 16764, 16396, 16450, 23409, 17421, 16642, 16738, 16604, 16474, 16386, 16466, 16401, 16446, 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, 16582, 16582, 17507, 16958, 20309, 16672, 36183, 18515, 18003, 16954, 17123, 17156, 16673, 18814, 16672, 27497, 31300, 16674, 31462, 16673, 43286, 29980, 31405, 18896, 25518, 16796, 26286, 16397, 16719, 23409, 17421, 16642, 16738, 16395, 16641, 40961, 16452, 16856, 18003, 16954, 16395, 16872, 16992, 19628, 16671, 17156, 16641, 18814, 16672, 27242, 19134, 16674, 31300, 16604, 16443, 16442, 16442, 16415, 16433, 16407, 16444, 16395, 16604, 16442, 16415, 16433, 16408, 16444, 16443, 16444, 16397, 17119, 18033, 16665, 16715, 16647, 33868, 20825, 17743, 16673, 16764, 16396, 16450, 23409, 17421, 16642, 16738, 16672, 18123, 16674, 43286, 29980, 19487, 16397, 21994, 45095, 16673, 18155, 46803, 17099, 16674, 24813, 17663, 18350, 37362, 16673, 36771, 19487, 22130, 16604, 16402, 16396, 29036, 56086, 18324, 16673, 16764, 16396, 16450, 23409, 17421, 16642, 16738, 16672, 43286, 29980, 19487, 17030, 18123, 19487, 16604, 16391, 23236, 16604, 16442, 16400, 16417, 16395, 16604, 16400, 16418, 16444, 16391, 16386, 16421, 16400, 16392, 16474, 18452, 16396, 18926, 16412, 16385, 19327, 16385, 16476, 16392, 16397, 16875, 18150, 16671, 17255, 44239, 16671, 16647, 57331, 16460, 16395, 16764, 16396, 16450, 23409, 17421, 16642, 16738, 16763, 17875, 16672, 16647, 22089, 16673, 16647, 43286, 29980, 19487, 16395, 16641, 20732, 16721, 17123, 16703, 17889, 16672, 16647, 17176, 16676, 22607, 16673, 16796, 26286, 17065, 16647, 24137, 24588, 16604, 16391, 23236, 16604, 16442, 16400, 16418, 16444, 16391, 16386, 16421, 16400, 16392, 16474, 18452, 16396, 18926, 16412, 16385, 19327, 16385, 16476, 16392, 16397, 16582, 16582, 36598, 20759, 21545, 16673, 38963, 16796, 26286, 19487, 50395, 33868, 20825, 16673, 16604, 16400, 16400, 16408, 16401, 26993, 16396, 56223, 24507, 16604, 16474, 16386, 16466, 16401, 16446, 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, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 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, 16669, 42073, 16815, 52087, 22588, 16428, 16401, 16674, 52087, 22588, 16428, 16401, 16396, 16400, 16399, 17596, 19487, 16958, 48216, 16674, 35024, 16671, 18613, 19335, 16397, 17999, 20503, 16715, 19364, 39438, 19029, 18211, 55379, 16395, 16742, 17761, 20295, 29703, 28470, 16673, 16647, 18123, 52087, 16396, 22588, 16428, 16401, 18155, 18089, 16674, 17073, 30403, 31405, 18896, 25518, 43286, 29980, 52087, 16396, 22588, 16428, 16401, 16396, 16400, 16399, 17596, 19487, 16809, 31364, 41102, 16604, 16391, 22224, 16604, 16442, 16400, 16444, 16391, 16386, 16435, 16400, 16392, 16474, 18452, 16396, 18926, 16412, 16385, 22246, 16385, 16476, 16674, 16604, 16442, 48753, 23984, 16604, 16400, 16444, 16391, 16386, 23460, 16401, 16392, 16474, 18452, 16396, 18926, 16412, 16385, 25567, 28783, 16396, 42287, 16385, 16476, 16392, 16397, 16772, 25145, 16715, 17476, 18602, 23078, 24507, 16958, 16604, 16401, 16396, 29036, 16785, 20580, 17032, 36833, 18650, 19795, 16604, 16391, 16393, 16431, 16393, 16604, 16443, 16411, 16604, 16399, 16397, 16399, 16404, 16392, 16397, 17119, 21766, 16604, 16400, 16400, 16408, 16401, 26993, 38583, 24507, 16397, 27385, 17213, 16604, 16400, 16400, 16408, 16401, 26993, 38583, 24507, 16395, 16604, 16404, 16407, 16403, 16958, 16903, 38011, 16674, 16604, 16405, 16399, 16407, 16958, 17285, 38011, 16604, 16391, 16442, 48753, 58987, 16604, 16401, 16444, 16391, 16386, 23460, 16402, 16392, 16474, 18452, 16396, 18926, 16412, 16385, 25567, 28783, 16396, 42287, 16385, 16476, 16674, 16604, 16442, 16402, 16444, 16391, 16386, 23460, 16403, 16392, 16474, 18452, 16396, 18926, 16412, 16385, 25567, 28783, 16396, 42287, 16385, 16476, 16392, 16397, 16582, 16582, 16386, 16386, 16386, 16386, 16386, 16386, 17973, 43422, 23273, 34593, 17595, 25796, 16673, 17476, 18602, 23078, 24507, 18211, 55379, 18138, 16709, 22103, 16673, 36833, 18650, 16604, 16391, 19502, 17032, 16604, 16401, 16396, 29036, 16392, 16903, 38011, 16674, 17285, 38011, 24507, 16604, 16391, 16393, 16431, 16393, 16604, 16443 ]
[ 0, 38194, 16604, 16474, 16386, 16466, 16400, 16476, 16582, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16582, 16582, 21184, 16673, 16647, 17154, 24366, 16674, 35859, 17840, 22126, 61280, 16673, 16858, 16693, 65083, 21980, 17659, 16815, 16647, 21262, 42104, 18221, 16395, 16944, 16704, 16641, 18122, 17970, 16673, 40286, 58752, 20554, 52900, 16395, 34396, 16671, 32907, 55237, 22504, 17568, 16673, 16647, 16997, 20602, 55237, 18876, 16397, 21262, 42104, 17384, 16657, 46386, 16674, 16852, 16851, 16699, 58405, 17894, 16604, 16391, 23974, 53104, 17894, 16674, 49590, 53104, 17894, 16392, 17299, 16667, 24972, 20879, 16673, 61553, 16395, 57850, 40877, 16395, 16674, 33610, 38433, 16604, 16391, 16442, 22224, 16604, 16400, 16444, 16391, 16386, 16463, 16877, 16396, 16399, 16399, 16404, 16406, 16400, 16406, 16406, 16396, 16467, 16399, 16399, 16400, 16392, 16474, 18452, 16396, 18926, 16412, 16385, 22246, 16385, 16476, 16392, 16396, 16396, 16674, 17134, 16790, 37731, 17118, 17605, 16813, 16397, 16604, 16442, 16415, 16463, 16877, 16397, 16399, 16399, 16404, 16406, 16400, 16406, 16406, 16396, 16427, 37731, 17118, 16400, 16444, 16674, 22801, 16674, 42948, 16604, 16442, 16415, 16463, 16877, 16397, 16399, 16399, 16404, 16406, 16400, 16406, 16406, 16396, 38623, 16400, 16444, 16715, 19642, 16884, 16724, 16964, 16397, 26367, 16395, 18244, 18340, 42104, 17384, 16657, 20969, 16395, 20278, 17310, 17989, 16647, 16604, 16385, 16393, 17506, 16642, 43694, 56109, 16393, 16950, 17077, 16385, 16604, 16393, 50935, 16468, 16393, 42786, 18386, 17605, 16813, 16397, 16604, 16442, 16415, 16463, 16877, 16397, 16399, 16399, 16404, 16406, 16400, 16406, 16406, 16396, 16429, 16844, 18386, 16400, 16444, 16395, 16807, 25736, 16671, 16703, 21748, 19258, 16715, 21544, 25315, 55982, 16709, 16647, 23777, 16673, 17840, 22126, 35085, 24023, 16674, 25544, 17873, 16604, 16442, 16415, 16463, 16877, 16397, 16399, 16399, 16404, 16406, 16400, 16406, 16406, 16396, 36166, 16400, 16444, 16395, 16604, 16442, 16415, 16463, 16877, 16397, 16399, 16399, 16404, 16406, 16400, 16406, 16406, 16396, 28747, 16656, 16400, 16444, 16395, 16604, 16442, 16415, 16463, 16877, 16397, 16399, 16399, 16404, 16406, 16400, 16406, 16406, 16396, 36166, 16401, 16444, 16397, 16582, 16582, 16400, 16399, 16397, 16400, 16402, 16406, 16400, 16398, 40976, 16397, 16463, 16877, 16397, 16399, 16399, 16404, 16406, 16400, 16406, 16406, 16397, 16467, 16399, 16399, 16400, 16582, 16582, 16386, 16386, 16386, 16386, 16386, 16386, 33996, 16697, 20441, 19939, 17840, 22126, 61280, 16815, 18340, 42104, 17384, 16657, 20554, 52900, 16397, 16582, 16582, 16384, 16442, 16444, 16391, 16463, 16877, 16397, 16399, 16399, 16404, 16406, 16400, 16406, 16406, 16397, 16467, 16399, 16399, 16400, 16392, 16474, 16386, 16463, 16877, 16396, 16399, 16399, 16404, 16406, 16400, 16406, 16406, 16396, 16467, 16399, 16399, 16400, 16396, 16400, 16476, 16582, 16582, 16650, 21629, 19613, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 18747, 17077, 16604, 16391, 17583, 16898, 16392, 16696, 16696, 22988, 22126, 35085, 25401, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16604, 16582, 16650, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 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, 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, 16604, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16604, 16396, 16396, 16396, 16396, 16604, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16604, 16396, 16396, 16396, 16396, 16604, 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, 16582, 16650, 44127, 16430, 20260, 35800, 22777, 18189, 23642, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16582, 16650, 16393, 45010, 17822, 19714, 18802, 32198, 16676, 16393, 16604, 16393, 51346, 43694, 19904, 16393, 16696, 16393, 17506, 16642, 43694, 56109, 16393, 16391, 23508, 42104, 16856, 16392, 16696, 16696, 16696, 16650, 57697, 16696, 16696, 16696, 16650, 16604, 16400, 16405, 16396, 16396, 16400, 16408, 16650, 16604, 16404, 16404, 16650, 16604, 16405, 16406, 16396, 16396, 16407, 16401, 16650, 16604, 16406, 16696, 16399, 16396, 16396, 16402, 16696, 21949, 16402, 16399, 16405, 16405, 16400, 16406, 16396, 16396, 16401, 16402, 16582, 16650, 16393, 45010, 17822, 19714, 18802, 32198, 16676, 16393, 16604, 16393, 22019, 16789, 16730, 19904, 16393, 16696, 16696, 16696, 16604, 16393, 16439, 16652, 17063, 16723, 16469, 18289, 16448, 16393, 16696, 16696, 16696, 16696, 16696, 42826, 17260, 16696, 16696, 16696, 16696, 16401, 16402, 16696, 16604, 16405, 16404, 16696, 16604, 16404, 16403, 16696, 16604, 16406, 16696, 16604, 16408, 16696, 16696, 32132, 16399, 16399, 16407, 16401, 16402, 16406, 16582, 16650, 16393, 45010, 17822, 20602, 50152, 17997, 16393, 16604, 16393, 35637, 50895, 16393, 16696, 16696, 16696, 16604, 16393, 16418, 25192, 16821, 16723, 16469, 18289, 16448, 16393, 16696, 16696, 16696, 16696, 16650, 25693, 17260, 16696, 16696, 16696, 16696, 16401, 16402, 16696, 16604, 16405, 16401, 16696, 16604, 16404, 16402, 16696, 16604, 16406, 16696, 16604, 16405, 16696, 16966, 16400, 16402, 16405, 16403, 16402, 16396, 16396, 16403, 16395, 16440, 16399, 16406, 16407, 16400, 16403, 16582, 16650, 16393, 45010, 16419, 35890, 16855, 20534, 19841, 17713, 16393, 16696, 16696, 16696, 16696, 16696, 16393, 16418, 25192, 16821, 16723, 16469, 18289, 16448, 16393, 16696, 16696, 16696, 16696, 16650, 25693, 17260, 16696, 16696, 16696, 16696, 16401, 16407, 16696, 16604, 16405, 16405, 16696, 16604, 16403, 16401, 16696, 16604, 16406, 16696, 16604, 16400, 16407, 16696, 16696, 16422, 16432, 16401, 16404, 16399, 16399, 16403, 16404, 16582, 16650, 16393, 45010, 16422, 16645, 17997, 16664, 24789, 17384, 16393, 16696, 16696, 16696, 16650, 16604, 16393, 17506, 16642, 43694, 56109, 16393, 16391, 23508, 42104, 16856, 16392, 16696, 16696, 16696, 25693, 17260, 16696, 16696, 16696, 16696, 16400, 16405, 16696, 16604, 16405, 16400, 16696, 16604, 16406, 16402, 16696, 16604, 16406, 16696, 16604, 16400, 16696, 16696, 21337, 16399, 16400, 16401, 16403, 16408, 16402, 16582, 16650, 16393, 45010, 39185, 16467, 16838, 20534, 17895, 16468, 18599, 16393, 16696, 16696, 16696, 16696, 16604, 16393, 17506, 16642, 43694, 56109, 16393, 16696, 16696, 16696, 16696, 16696, 57697, 16696, 16696, 16696, 16696, 16604, 16400, 16402, 16696, 16604, 16403, 16402, 16696, 16604, 16407, 16401, 16696, 16604, 16406, 16696, 16604, 16399, 16696, 16696, 48735, 16405, 16403, 16404, 16407, 16399, 16403, 16582, 16650, 16393, 45010, 39185, 16467, 16838, 20534, 17707, 20401, 16393, 16696, 16696, 16696, 16696, 16650, 16604, 16393, 17506, 16642, 43694, 56109, 16393, 16696, 16696, 16696, 16696, 16696, 57697, 16696, 16696, 16696, 16696, 16604, 16400, 16405, 16696, 16604, 16404, 16408, 16696, 16604, 16405, 16405, 16696, 16604, 16406, 16696, 16604, 16399, 16696, 16696, 22809, 16399, 16405, 16401, 16408, 16402, 16402, 16396, 16403, 16582, 16650, 16393, 45010, 39185, 16467, 16838, 20534, 16393, 17020, 16397, 16434, 20138, 16604, 16405, 16402, 16396, 16396, 16400, 16399, 16696, 16696, 16650, 16604, 16393, 17506, 16642, 43694, 56109, 16393, 16696, 16696, 16696, 16696, 16696, 57697, 16696, 16696, 16696, 16696, 16604, 16400, 16405, 16696, 16604, 16404, 16407, 16696, 16604, 16405, 16405, 16696, 16604, 16406, 16696, 16604, 16399, 16696, 16696, 39719, 16400, 16399, 16407, 16403, 16407, 16399, 16396, 16400, 16582, 16650, 16393, 45010, 28967, 16469, 18289, 17378, 16737, 16456, 16393, 16696, 16696, 16696, 16696, 16604, 16393, 17506, 16642, 43694, 56109, 16393, 16391, 23508, 42104, 16856, 16392, 16696, 16696, 16696, 25693, 17260, 16696, 16696, 16696, 16696, 16402, 16404, 16696, 16604, 16405, 16405, 16696, 16443, 16411, 16403, 16399, 16696, 16406, 16696, 16604, 16402, 16696, 21949, 16406, 16405, 16399, 16406, 16399, 16400, 16395, 39719, 16399, 16407, 16403, 16407, 16401, 16400, 16582, 16650, 16431, 57637, 18320, 23642, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16696, 16650, 16582, 16650, 16393, 45010, 17822, 19714, 18802, 32198, 16676, 16393, 16604, 16393, 51346, 43694, 19904, 16393, 16696, 16393, 17506, 16642, 43694, 56109, 16393, 16391, 23508, 42104, 16856, 16392, 16696, 16696, 16696, 25693, 17260, 16696, 16696, 16696, 16650, 16604, 16401, 16399, 16403, 16696, 16604, 16405, 16405, 16696, 16604, 16403, 16403, 16696, 16604, 16405, 16405, 16696, 16406, 16696, 16696, 16773, 16425, 16403, 16401, 16402, 16403, 16403, 16405, 16582, 16650, 16393, 45010, 16419, 35890, 16855, 20534, 19841, 17713, 16393, 16696, 16696, 16696, 16696, 16696, 16393, 16418, 25192, 16821, 16723, 16469, 18289, 16448, 16393, 16696, 16696, 16696, 16696, 16650, 25693, 17260, 16696, 16696, 16696, 16650, 16604, 16401, 16405, 16408, 16696, 16604, 16405, 16407, 16696, 16604, 16402, 16404, 16696, 16604, 16405, 16405, 16650, 16604, 16443, 16413, 16402, 16404, 16696, 16650, 16796, 16432, 16401, 16404, 16399, 16399, 16403, 16405, 16582, 16650, 16393, 45010, 16422, 16645, 17997, 16664, 24789, 17384, 16393, 16696, 16696, 16696, 16650, 16604, 16393, 17506, 16642, 43694, 56109, 16393, 16391, 23508, 42104, 16856, 16392, 16696, 16696, 16696, 25693, 17260, 16696, 16696, 16696, 16650, 16604, 16401, 16401, 16402, 16696, 16604, 16406, 16399, 16696, 16604, 16403, 16403, 16696, 16604, 16405, 16405, 16696, 16402, 16696, 16696, 21337, 16399, 16400, 16401, 16403, 16408, 16403, 16582, 16650, 16393, 45010, 28967, 16469, 18289, 17378, 16737, 16456, 16393, 16696, 16696, 16696, 16696, 16604, 16393, 17506, 16642, 43694, 56109, 16393, 16391, 23508, 42104, 16856, 16392, 16696, 16696, 16696, 25693, 17260, 16696, 16696, 16696, 16650, 16604, 16404, 16401, 16404, 16696, 16604, 16404, 16406, 16696, 16443, 16411, 16401, 16399, 16696, 16405, 16405, 16696, 16408, 16696, 16696, 41326, 16399, 16407, 16403, 16407, 16401, 16399, 16582, 16582, 26199, 16409, 46517, 35495, 16671, 18456, 20246, 16397, 17683, 17077, 20737, 16769, 18138, 16709, 42786, 18386, 17605, 16813, 16397, 16604, 16442, 16415, 16463, 16877, 16397, 16399, 16399, 16404, 16406, 16400, 16406, 16406, 16396, 16429, 16844, 18386, 16400, 16444, 16397, 52036, 33610, 19497, 16858, 64487, 22036, 16396, 16395, 16792, 27796, 16396, 16395, 16674, 16640, 27796, 16396, 60683, 23349, 16741, 17204, 16741, 17975, 16396, 36904, 24580, 35945, 16395, 17274, 16741, 16647, 16604, 16393, 20940, 16459, 16393, 23273, 16672, 16647, 16604, 16393, 16418, 16397, 24878, 43694, 19904, 16393, 60197, 36666, 16397, 27890, 17679, 19497, 19749, 22036, 16396, 60683, 24507, 16395, 16850, 17257, 16804, 18379, 17371, 20364, 16785, 17975, 36904, 24580, 35945, 16395, 16945, 16604, 16393, 20940, 16459, 16393, 16397, 46771, 58610, 24507, 16674, 17371, 28070, 16958, 33855, 17097, 18266, 16397, 65451, 26204, 16715, 16604, 16393, 16431, 16397, 17707, 20401, 16393, 16674, 16604, 16393, 16431, 16397, 35165, 23195, 16656, 16393, 16769, 18138, 16709, 16647, 18476, 26169, 16725, 16673, 16647, 17142, 46386, 60518, 16410, 17310, 16715, 16604, 16393, 16437, 16397, 17378, 16737, 16456, 16393, 17208, 16703, 19570, 16741, 20958, 16706, 16964, 16741, 16647, 60197, 36666, 16674, 49590, 36666, 21005, 26724, 34448, 18443, 16671, 63777, 50563, 16397, 17544, 16604, 16393, 16418, 16397, 24878, 43694, 19904, 16393, 16395, 16647, 46386, 35085, 19101, 16395, 17371, 17751, 17679, 16395, 16674, 33610, 19014, 16843, 24195, 17172, 16673, 32311, 17371, 28070, 16397, 16582, 16582, 23741, 16673, 17038, 20287, 16673, 18340, 42104, 17384, 16657, 46386, 16674, 16852, 16851, 16699, 61280, 16704, 20236, 16671, 16819, 16880, 16683, 17260, 20969, 16395, 17274, 16741, 16647, 18528, 38267, 16604, 16393, 17822, 19714, 18802, 32198, 16676, 24878, 43694, 19904, 16393, 16674, 16604, 16393, 16418, 16397, 57883, 23091, 16393, 16604, 16391, 19583, 26259, 19576, 44163, 16741, 16604, 16393, 16418, 16397, 17878, 51564, 16393, 16410, 17134, 42786, 18386, 17605, 16813, 16397, 16604, 16442, 16415, 16463, 16877, 16397, 16399, 16399, 16404, 16406, 16400, 16406, 16406, 16396, 16429, 16844, 18386, 16401, 16444, 16392, 16604, 16442, 16415, 16463, 16877, 16397, 16399, 16399, 16404, 16406, 16400, 16406, 16406, 16396, 28747, 16656, 16400, 16444, 16395, 16604, 16442, 16415, 16463, 16877, 16397, 16399, 16399, 16404, 16406, 16400, 16406, 16406, 16396, 30272, 26397, 16468, 16400, 16444, 16395, 16647, 20241, 17600, 16674, 19819, 16396, 17600, 16604, 16393, 39185, 16467, 16838, 20534, 17895, 16468, 18599, 16393, 16395, 16604, 16393, 16431, 16397, 17707, 20401, 16393, 16395, 16674, 16604, 16393, 16431, 16397, 35165, 23195, 16656, 16393, 16604, 16442, 16415, 16463, 16877, 16397, 16399, 16399, 16404, 16406, 16400, 16406, 16406, 16396, 36166, 16401, 16444, 16395, 16604, 16442, 16415, 16463, 16877, 16397, 16399, 16399, 16404, 16406, 16400, 16406, 16406, 16396, 40527, 16400, 16444, 16395, 16604, 16442, 16415, 16463, 16877, 16397, 16399, 16399, 16404, 16406, 16400, 16406, 16406, 16396, 36166, 16402, 16444, 16395, 16674, 16647, 25979, 16701, 31921, 16795, 33349, 16396, 22032, 16701, 17416, 16396, 22837, 16604, 16393, 16419, 35890, 16855, 20534, 19841, 17713, 16393, 16604, 16442, 16415, 16463, 16877, 16397, 16399, 16399, 16404, 16406, 16400, 16406, 16406, 16396, 36166, 16403, 16444, 16397, 20800, 43920, 17687, 16704, 18365, 16931, 16647, 17840, 22126, 61280, 16673, 34562, 16674, 18180, 16880, 16683, 17260, 18340, 42104, 17384, 16890, 16395, 16944, 16769, 17494, 17989, 16647, 18340, 42104, 16856, 50694, 16673, 16647, 16604, 16393, 17506, 16642, 43694, 56109 ]
[ 0, 16396, 16396, 16396, 16582, 26371, 16409, 16582, 16396, 16604, 16475, 16582, 16696, 16443, 16582, 16696, 47113, 22016, 18059, 20468, 30229, 16443, 16582, 16696, 34452, 16673, 37012, 16604, 16389, 44670, 22091, 16443, 16582, 16696, 16853, 18059, 16673, 34077, 16443, 16582, 16696, 16417, 20678, 16428, 19207, 58625, 16738, 16400, 16404, 16604, 16401, 29398, 16395, 19590, 16443, 16582, 16696, 16420, 16396, 21576, 16409, 16582, 23718, 16409, 49114, 45503, 16673, 16647, 28047, 26712, 16582, 16396, 16396, 16396, 16582, 16582, 16417, 58625, 16396, 18743, 16431, 16398, 16399, 16400, 16396, 16399, 16401, 16443, 16582, 16402, 16400, 19191, 16604, 16401, 16399, 16399, 16400, 16582, 16582, 38194, 16582, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16582, 16582, 16853, 18676, 16673, 24860, 26182, 22076, 16673, 16647, 24340, 49819, 21448, 16673, 16647, 28047, 26712, 48598, 16641, 19609, 18898, 16673, 25717, 16397, 16772, 17788, 20584, 16673, 17213, 16704, 28112, 16672, 16811, 17556, 16395, 16734, 28138, 21568, 16709, 17009, 28016, 16672, 16647, 16987, 38530, 19979, 16604, 16401, 16399, 16399, 16400, 16397, 16711, 23404, 18545, 16671, 17259, 27615, 16704, 16721, 30496, 16674, 26182, 41920, 16769, 31065, 16397, 16772, 30496, 41920, 16395, 19294, 18767, 16815, 16647, 19744, 16673, 18846, 16396, 19434, 33181, 16395, 16843, 16703, 16767, 17965, 16741, 17747, 16671, 25018, 50521, 16741, 16647, 26182, 25477, 16397, 16582, 16582, 19231, 18229, 39021, 16395, 17009, 16955, 20364, 19532, 16396, 21095, 18466, 16672, 52648, 16769, 22849, 16397, 16772, 17009, 27317, 16673, 16647, 29164, 16645, 44727, 29355, 26683, 18943, 16767, 24467, 50487, 16704, 19074, 16674, 19739, 16734, 18961, 28047, 26712, 33181, 16397, 28992, 16815, 16647, 17178, 18293, 16790, 25306, 17586, 22281, 16769, 28112, 16395, 18226, 16734, 18961, 18466, 16815, 16647, 17880, 42687, 17751, 16395, 42932, 16416, 16674, 16702, 26347, 16397, 16772, 33319, 16673, 17259, 16673, 17213, 18466, 17065, 16641, 19364, 17709, 16673, 16647, 28047, 26712, 19565, 16641, 24632, 20134, 16704, 31188, 17845, 16397, 24229, 16395, 31222, 16715, 16647, 17718, 17589, 17202, 16769, 19570, 16397, 16582, 16582, 23879, 18466, 20905, 17348, 16769, 32957, 16409, 16873, 16769, 16804, 51750, 32196, 16715, 19744, 16673, 18692, 16397, 17143, 21436, 17208, 16703, 48731, 16715, 20184, 16397, 16582, 16582, 16433, 16674, 16604, 16387, 16443, 23462, 16474, 16443, 21353, 16391, 16428, 16446, 16441, 16445, 16401, 16392, 16476, 16387, 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, 16582, 16582, 16853, 16738, 18311, 16396, 19311, 37898, 16767, 16647, 27495, 21805, 25324, 16396, 18137, 16654, 17751, 19094, 17618, 16672, 30686, 16395, 19391, 16395, 16872, 16992, 21863, 17608, 16604, 16400, 16408, 16408, 16406, 16397, 21414, 27615, 16807, 16992, 17366, 16672, 16647, 23001, 16396, 17663, 16396, 38388, 18712, 18898, 16604, 16387, 16401, 16411, 16443, 25600, 16474, 16466, 16476, 16411, 16404, 16387, 18331, 23403, 16437, 16395, 16850, 16673, 37024, 16671, 24340, 49819, 28792, 16769, 17310, 16673, 16647, 21844, 16604, 16387, 16387, 16433, 16604, 16412, 16604, 16443, 19873, 16474, 16443, 24565, 16391, 16443, 16428, 16934, 16746, 16443, 16928, 16443, 24160, 16474, 33955, 28070, 16476, 16392, 16476, 16474, 16443, 24565, 16446, 16399, 16391, 16443, 16428, 16934, 16746, 16443, 16928, 16443, 16428, 18433, 19932, 16392, 16476, 16387, 16387, 17187, 16647, 49368, 16395, 16604, 16387, 16443, 24565, 16446, 16399, 16391, 16443, 16428, 16934, 16746, 16443, 16928, 16443, 16428, 18433, 19932, 16392, 16412, 16403, 16443, 21210, 16443, 21353, 16445, 16401, 16391, 16399, 16392, 16398, 16391, 16402, 16466, 16392, 16387, 16395, 16704, 16647, 26572, 16396, 19434, 17695, 18525, 31777, 16397, 16772, 16738, 18311, 27615, 18331, 16442, 16415, 54690, 16409, 25981, 16465, 16444, 16673, 16778, 16769, 20905, 16672, 25173, 18331, 16443, 16442, 19327, 16409, 25981, 16465, 16443, 16444, 16395, 17187, 16647, 24206, 16672, 18950, 17030, 18722, 16395, 18143, 17238, 18334, 16395, 27615, 16704, 18271, 16397, 34993, 16604, 16400, 16399, 16399, 16399, 16955, 20364, 19122, 16769, 17405, 16767, 17492, 18712, 16395, 16674, 16667, 19183, 32768, 16673, 16604, 16405, 16397, 16405, 16388, 16704, 21715, 16767, 17492, 16673, 16647, 16604, 16407, 16404, 18712, 18842, 16397, 16772, 17411, 16396, 16928, 16396, 20352, 37033, 20341, 16704, 23381, 16671, 16703, 16604, 16402, 16397, 16402, 16388, 16395, 20557, 16641, 21348, 16673, 16604, 16401, 16671, 16604, 16402, 24206, 17030, 20124, 27615, 16397, 16582, 16582, 17071, 17970, 16671, 20449, 17274, 16667, 24206, 16395, 23435, 19831, 16673, 16647, 37898, 29963, 16715, 16955, 20364, 19122, 16767, 18229, 16604, 16387, 16443, 25600, 16474, 16466, 16476, 16387, 16958, 17366, 16395, 16672, 25097, 16734, 16647, 54366, 31901, 43972, 17562, 16397, 16772, 26182, 29963, 16715, 16955, 20364, 19122, 35177, 16672, 16647, 18898, 16604, 16404, 16399, 16671, 16604, 16407, 16406, 16388, 16815, 16604, 16401, 16671, 16604, 16403, 16397, 16407, 18331, 23403, 16437, 22358, 16395, 16859, 16647, 43716, 16767, 18229, 16604, 16387, 16443, 25600, 16474, 16466, 16476, 16387, 16704, 16673, 17154, 19039, 16397, 20353, 35143, 16673, 16647, 16955, 20364, 18094, 17586, 16958, 21715, 16815, 16641, 36729, 19288, 16673, 16647, 16604, 16442, 64436, 18016, 16427, 16438, 16444, 16474, 16476, 34731, 16395, 16674, 16647, 16955, 20364, 18528, 16396, 32435, 29487, 16704, 23381, 16671, 16703, 16741, 18229, 16741, 16604, 16401, 16396, 16402, 16388, 16397, 16582, 16582, 19231, 17199, 19251, 39021, 16395, 19335, 21450, 16673, 16647, 18122, 17586, 22281, 16815, 16719, 25542, 16396, 16401, 18331, 16442, 16415, 54690, 16409, 33257, 16401, 16444, 16767, 16647, 16965, 25306, 16431, 16396, 16401, 16428, 16604, 18331, 31726, 17618, 16767, 21596, 16786, 16949, 16729, 19013, 18711, 17030, 16604, 16387, 16399, 16397, 16402, 16405, 16411, 16443, 25600, 16474, 16466, 16476, 16411, 16400, 16397, 16403, 16387, 18331, 23403, 16437, 16397, 21414, 26140, 18551, 16396, 44266, 16769, 23954, 16395, 16734, 16647, 17736, 25346, 16671, 16647, 20562, 19532, 16396, 21095, 37549, 16815, 16604, 16387, 16443, 21210, 16445, 16394, 16443, 21210, 16445, 16396, 16387, 19378, 16397, 16582, 16582, 16416, 18474, 19617, 16673, 16647, 18229, 18712, 16778, 27615, 16704, 16672, 16647, 31777, 16673, 16647, 18020, 16673, 16647, 44267, 36202, 16767, 16647, 16604, 18331, 38388, 21434, 16397, 17170, 16704, 26252, 16815, 17073, 23020, 16396, 54556, 16768, 18020, 16395, 16604, 16387, 16443, 21353, 16391, 16399, 16392, 16412, 16400, 16398, 16400, 16402, 16406, 16397, 16399, 16402, 16404, 16408, 16408, 16408, 16406, 16405, 16391, 16404, 16399, 16392, 16387, 16395, 16809, 32724, 27944, 21085, 25623, 44246, 16409, 16604, 16387, 16387, 16443, 21353, 16391, 16428, 16446, 16441, 16445, 16401, 16392, 16412, 16443, 19873, 16474, 16443, 21353, 16391, 16399, 16392, 16476, 16474, 16400, 16396, 16443, 26210, 16443, 21353, 16446, 16474, 16452, 16443, 21685, 16443, 25702, 16476, 16391, 16428, 16446, 16441, 16445, 16401, 16392, 16396, 16582, 16443, 16451, 17162, 16705, 16391, 16428, 16446, 16441, 16445, 16401, 16392, 16396, 16443, 26210, 16443, 21353, 16446, 16474, 21635, 16476, 16391, 16428, 16446, 16441, 16445, 16401, 16392, 16476, 16604, 16397, 16387, 16387, 16772, 25691, 16815, 16827, 16849, 23796, 16674, 17772, 65190, 42915, 16604, 16391, 16387, 16443, 26210, 16443, 21353, 16446, 16474, 16452, 16443, 21685, 16443, 25702, 16476, 16387, 16674, 16604, 16387, 16443, 26210, 16443, 21353, 16446, 16474, 21635, 16476, 16387, 16395, 22358, 16392, 16769, 34725, 17204, 25722, 22857, 17097, 16647, 31239, 32761, 16397, 16772, 16604, 16387, 16443, 16451, 17162, 16705, 16387, 17902, 21998, 18229, 16396, 35994, 16955, 20364, 42915, 16395, 16674, 17724, 16703, 25722, 19565, 16641, 48267, 30804, 16409, 16604, 16387, 16387, 16443, 16451, 17162, 16705, 16391, 16428, 16446, 16441, 16445, 16401, 16392, 16604, 16412, 16604, 16396, 16604, 16443, 19873, 16474, 16443, 21353, 16582, 16428, 16446, 16441, 16445, 16401, 16476, 16474, 16402, 16443, 21210, 16476, 16604, 16443, 17506, 16443, 16974, 16446, 16474, 16403, 16460, 16446, 16474, 16443, 21210, 16476, 16445, 16401, 16476, 16445, 16443, 26414, 51595, 16582, 16443, 19873, 16474, 16433, 16391, 16466, 16392, 16476, 16474, 16466, 16391, 16466, 16396, 16428, 16446, 16441, 16445, 16401, 16396, 16456, 16443, 28586, 16392, 16476, 16604, 16397, 16387, 16387, 16772, 16778, 17586, 18842, 17724, 16395, 16767, 17965, 16395, 16703, 55803, 16895, 16671, 26828, 16811, 30804, 16397, 19253, 32432, 20625, 16769, 25186, 16809, 17476, 22900, 16395, 16674, 17231, 17123, 17027, 16703, 17366, 16673, 16604, 16387, 16443, 25702, 16387, 33405, 39035, 17917, 17586, 19565, 16704, 18131, 16642, 40112, 16397, 16711, 18961, 33051, 18331, 16442, 16415, 54690, 16409, 16463, 18823, 16465, 18988, 16458, 16444, 17655, 27435, 31542, 16872, 21715, 16604, 16387, 16443, 16451, 17162, 16705, 16391, 16428, 16446, 16441, 16445, 16401, 16392, 16412, 16399, 16397, 16399, 16401, 16406, 16405, 16400, 16443, 19673, 16399, 16397, 16399, 16399, 16399, 16402, 16405, 16387, 16395, 22051, 16641, 21348, 17142, 16922, 24860, 17032, 16641, 18722, 18655, 25018, 16944, 17132, 16804, 17231, 16647, 17009, 16738, 18311, 16396, 19311, 17586, 16397, 18419, 19544, 21193, 16396, 32402, 31542, 16395, 16667, 20341, 16741, 18229, 16741, 16604, 16387, 16443, 19673, 16399, 16397, 16399, 16399, 16399, 16401, 16399, 16387, 17123, 16703, 21715, 18331, 16442, 16415, 54690, 16409, 30538, 16642, 16444, 16397, 16582, 16582, 18023, 46220, 16466, 16715, 18613, 27111, 16672, 27615, 16673, 16647, 16955, 20364, 19532, 16396, 21095, 16767, 18229, 39021, 16769, 17203, 16409, 16667, 35537, 60201, 16672, 30686, 17208, 17882, 30169, 19800, 64505, 16410, 57709, 16430, 42574, 16671, 17535, 16767, 19251, 23001, 16396, 17663, 16396, 38388, 39021, 17032, 17329, 16671, 27768, 16647, 19599, 16815, 16604, 16402, 16671, 16604, 16404, 18649, 16437, 16410, 34292, 16387, 16443, 33227, 16387, 29808, 17123, 16703, 17914, 16671, 18291, 16647, 18229, 18712, 18898, 16734, 31405, 17225, 19122, 16410, 16674, 19987, 16647, 20174, 16673, 16641, 17238, 18229, 18712, 22999, 16671, 16985, 18226, 16734, 16647, 17875, 16739, 25306, 16396, 19311, 16790, 17528, 17120, 17882, 18291, 16671, 16647, 31416, 21900, 19599, 17415, 16604, 16400, 16397, 16403, 16674, 16604, 16401, 18649, 16437, 16397, 16582, 16582, 16853, 27461, 16645, 17008, 16680, 29355, 64360, 44571, 16695, 16396, 16401, 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, 16853, 24467, 50487, 16799, 16407, 16401, 16400, 21378, 16872, 19193, 19074, 18331, 16442, 16415, 54690, 16409, 16452, 16407, 16401, 16400, 16444, 16641, 17009, 27317, 16673, 16647, 29164, 16645, 44727, 29355, 26683, 18943, 16395, 16604, 16387, 16448, 16446, 16474, 16443, 21685, 16476, 16387, 16395, 16809, 30742, 16647, 23903, 16396, 19583, 35599, 23790, 16395, 16604, 16387, 16443, 16428, 22991, 16387, 16395, 16673, 27944, 17845, 29164, 17112, 16672, 16641, 26683, 18676, 16409, 16604, 16387, 16387, 16448, 16446, 16474, 16443, 21685, 16476, 16604, 16443, 37337, 16604, 16443, 19873, 16474, 16454, 16396, 16401, 16476, 16474, 16401, 16476, 16604, 16412, 16604, 16443, 19873, 16474, 16443, 16428, 22991, 16669, 16446, 16474, 16443, 21685, 16476, 16450, 16476, 16474, 16452, 16443, 31047, 16738, 16443, 28077, 16476, 16387, 16387, 16772, 29164, 17112, 18881, 21663, 16672, 16641, 18321, 16396, 51491, 22049, 22999, 27609, 16671, 16807, 16667, 21408, 25182, 26683, 18676, 18325, 17073, 49017, 16397, 16772, 23903, 16396, 19583, 35599, 23790, 16604, 16387, 16443, 16428, 22991, 16387, 16704, 23975, 16809, 40057, 16647, 17005, 28593, 16673, 19378, 16673, 33405, 41893, 18568, 16641, 22184, 18712, 18668, 16396, 18700, 16604, 16391, 16401, 18331, 23403, 16437, 16392, 16395, 16741, 19628, 16672, 25173, 18331, 16443, 16442, 19327, 16409, 16452, 16407, 16401, 16400, 16443, 16444, 16397, 16772, 17881, 46415, 18676, 16704, 23975, 17655, 17142, 22103, 16673, 58548, 50167, 16409, 16917, 22184, 17280, 31540, 17473, 16647, 22999, 16674, 17405, 16715, 26416, 24571, 16395, 16674, 17653, 17280, 21568, 16709, 16641, 16640, 62669, 16944, 16843, 16703, 23150, 17262, 17473, 16647, 52732, 29797, 28694, 16397, 16875, 19545, 16395, 16647, 26683, 18676, 16704, 16691, 16396, 23634, 19298, 16672, 19246, 16673, 16647, 17881, 51745, 58548, 23790, 16395, 16604, 16387, 16443, 26442, 16446, 16463, 16387, 16395, 16674, 16604, 16387, 16448, 16446, 16474, 16443, 21685, 16476, 16387, 35265, 16815, 16409, 16604, 16387, 16387, 16448, 16446, 16474, 16443, 21685, 16476, 16604, 16412, 16604, 16443, 19873, 16474, 16433, 16476, 16474, 16443, 23130, 16396, 16433, 16476, 16387, 16387, 17187, 16604, 16387, 16433, 16412, 16443, 26442, 16446, 16448, 16398, 16443, 26442, 16446, 16463, 16387, 16674, 16604, 16387, 16443, 23130, 16387, 16704, 16647, 21844, 16673, 29164, 16645, 16671, 51745, 26683, 23395, 16397, 16582, 16582, 16853, 20120, 16799, 16407, 16401, 16400, 17539, 16395, 21715, 17655, 16604, 16387, 16399, 16397, 16408, 16404, 16443, 24360, 16400, 16399, 16445, 16408, 16387, 16604, 16387, 16443, 21685, 16445, 16394, 16387, 17382, 16975, 16704, 18331, 16442, 16415, 54690, 16409, 16452, 16407, 16401, 16400, 16444, 16409, 16604, 16387, 16387, 16448, 16446, 16474, 16443, 21685, 16445, 16394, 16476, 16604, 16412, 16604, 16391, 16400, 16400, 16443, 16395, 16405, 16404, 16408, 16443, 16395, 16401, 16399, 16401, 16443, 19673, 16400, 16403, 16443, 19673, 16405, 16392, 16443, 24360, 16604, 16400, 16399, 16445, 16474, 16396, 16400, 16399, 16476, 16387, 16387, 16772, 20562, 32768, 21715, 16704, 22439, 16604, 16400, 16397, 16402, 20049, 16972, 18115, 16409, 16604, 16400, 16397, 16401, 58159, 16815, 26204, 16674, 16604, 16399, 16397, 16404, 58159, 16815, 33444, 25477, 16397, 22046, 16815, 16641, 18613, 16604, 16387, 16403, 16443, 24360, 16400, 16399, 16445, 16408, 16387 ]
[ 0, 16385, 22344, 16848, 17072, 16671, 16854, 16811, 17617, 16397, 16385, 16604, 16385, 16604, 16391, 21421, 37701, 16739, 18017, 16396, 16467, 16990, 16396, 23786, 16396, 20757, 16392, 16385, 16604, 16385, 17933, 16395, 16854, 16671, 16811, 17210, 16414, 16385, 16604, 16385, 16604, 16391, 21421, 37701, 39754, 16396, 16717, 18017, 16396, 16463, 18017, 16396, 16467, 16990, 16396, 23786, 16392, 16385, 16604, 16385, 16391, 21421, 37701, 16604, 16400, 16405, 16402, 16398, 16401, 27494, 16396, 16426, 16847, 16396, 16431, 20334, 16448, 16392, 16385, 16604, 16385, 21356, 18777, 17348, 19202, 19616, 16414, 16385, 16604, 16385, 16424, 16390, 16460, 18183, 16715, 16811, 23008, 16397, 16397, 16397, 16385, 16604, 16385, 18621, 16746, 16671, 16807, 19129, 16887, 17210, 16397, 16385, 16604, 16385, 19084, 18234, 16732, 16769, 17348, 16397, 16385, 16604, 16385, 17635, 16704, 27494, 56470, 16739, 20334, 16448, 16397, 16385, 16604, 16385, 16424, 16807, 17889, 18541, 16671, 17921, 16732, 16397, 16397, 16397, 16385, 16604, 16385, 16424, 16390, 16690, 17659, 16641, 17301, 17210, 16397, 16397, 16397, 16385, 16604, 16385, 16385, 53692, 31674, 16385, 16395, 16604, 16405, 16395, 16399, 16399, 16399, 20990, 16397, 16385, 16604, 16385, 23494, 34287, 16395, 17653, 19995, 16395, 17653, 23371, 16397, 16385, 16604, 16385, 26445, 20187, 16671, 16703, 21413, 20635, 18860, 16397, 16385, 16604, 16385, 20574, 16390, 16467, 17039, 17016, 16671, 17924, 16397, 16397, 16397, 16850, 23301, 16715, 17536, 17009, 16397, 16385, 16604, 16385, 17278, 30211, 16763, 29356, 16390, 16466, 18479, 16671, 17460, 17038, 18774, 16397, 16385, 16604, 16385, 18129, 21226, 16815, 16647, 25332, 16395, 16385, 16604, 16385, 52801, 37021, 17727, 16390, 16467, 18761, 17672, 17016, 16742, 16955, 19272, 16397, 16385, 16604, 16385, 21184, 20868, 16687, 16390, 16451, 33275, 17536, 16641, 17687, 17827, 16397, 16397, 16397, 26754, 16395, 17827, 25503, 16397, 16385, 16604, 16385, 53999, 32288, 16781, 16395, 43029, 16414, 16385, 16604, 16385, 27064, 16395, 17137, 16671, 17158, 17348, 16395, 24065, 16707, 16397, 16385, 16604, 16385, 26165, 18531, 16732, 17137, 16397, 16385, 16604, 16385, 25046, 16811, 16397, 16385, 16604, 16385, 30572, 16709, 16395, 29356, 16397, 16385, 16604, 16385, 17887, 16390, 16644, 16732, 18045, 16414, 16385, 16604, 16385, 16687, 17796, 16732, 18964, 16641, 19741, 16397, 16385, 16604, 16385, 21356, 16390, 16467, 16732, 16994, 18760, 16641, 22245, 16414, 16385, 16604, 16385, 18473, 17723, 16390, 16466, 27995, 16647, 28393, 16397, 16397, 16397, 16385, 16604, 16385, 23039, 16854, 24265, 23480, 16397, 16397, 16397, 16385, 16604, 16385, 18001, 17137, 18392, 16414, 16385, 16604, 16385, 26165, 18392, 17348, 16397, 16385, 16604, 16385, 16424, 16390, 16460, 17395, 16891, 16397, 16385, 16604, 16385, 43187, 16891, 17187, 16414, 16385, 16604, 16385, 20574, 16390, 16467, 17039, 16397, 16397, 16397, 23261, 16397, 16397, 16397, 19067, 16397, 16385, 16604, 16385, 39836, 16991, 33494, 16397, 16385, 16604, 16385, 18753, 19486, 16414, 16385, 16604, 16385, 18264, 16641, 19201, 16673, 18626, 16395, 23480, 16397, 16397, 16397, 16385, 16604, 16385, 17887, 16414, 16385, 16604, 16385, 26635, 16397, 16385, 16604, 16385, 36840, 16848, 16641, 18717, 16397, 16385, 16604, 16385, 18001, 17137, 16641, 18717, 16395, 19655, 16395, 16807, 16917, 16397, 16385, 16604, 16385, 19840, 16687, 17660, 16390, 16467, 16703, 17348, 17014, 16732, 16969, 17141, 16397, 16385, 16604, 16385, 27219, 16709, 29356, 16397, 16385, 16604, 16385, 18001, 16390, 16644, 25081, 16397, 16397, 16397, 16385, 16604, 16385, 19845, 16395, 16732, 22929, 16397, 16385, 16604, 16385, 18001, 16390, 16690, 16992, 23519, 22490, 17608, 16732, 16992, 16709, 16647, 23769, 16397, 16385, 16604, 16385, 26042, 16397, 16397, 16397, 17204, 16395, 19149, 17257, 16721, 16671, 16991, 17047, 16397, 16385, 16604, 16385, 18111, 17135, 16858, 16687, 17045, 16641, 19099, 16397, 16397, 16397, 16385, 16604, 16385, 37900, 16848, 16931, 16728, 16397, 16385, 16604, 16385, 26453, 16742, 17208, 16994, 21739, 16728, 16397, 16385, 16604, 16385, 18105, 16829, 16732, 17881, 16414, 16385, 16604, 16385, 30477, 18282, 16397, 16385, 16604, 16385, 19084, 16395, 17016, 16829, 16732, 17881, 16414, 16385, 16604, 16385, 38878, 16395, 16994, 16854, 16891, 16674, 18053, 16912, 33494, 16397, 16385, 16604, 16385, 17991, 16732, 16390, 16690, 17497, 17536, 16671, 17335, 29356, 16395, 16994, 17335, 16728, 16397, 16385, 16604, 16385, 38878, 16994, 19220, 16728, 16397, 16385, 16604, 16385, 17933, 16397, 16397, 16397, 17016, 16807, 16732, 17497, 16671, 17335, 16397, 16385, 16604, 16385, 23706, 16397, 16385, 16604, 16385, 16424, 17121, 16390, 16467, 32173, 16732, 22847, 16397, 16385, 16604, 16385, 18001, 16390, 16690, 19812, 16848, 16858, 16811, 17210, 16671, 17921, 16848, 16721, 16397, 16385, 16604, 16385, 19084, 16395, 24799, 16397, 16385, 16604, 16385, 16424, 16390, 16690, 19812, 19110, 16858, 16811, 17210, 16671, 23633, 16397, 16385, 16604, 16385, 18111, 16732, 16769, 16994, 57545, 16397, 16397, 16397, 16674, 16859, 21377, 16397, 16385, 16604, 16385, 21516, 24547, 16397, 16385, 16604, 16385, 16424, 16843, 17391, 16732, 16397, 16385, 16604, 16385, 16416, 23651, 19475, 16672, 16641, 16640, 18436, 16396, 16467, 18436, 21035, 16671, 17299, 16848, 17473, 16397, 16397, 16397, 16385, 16604, 16385, 16437, 20337, 21811, 16898, 16395, 20353, 16715, 16732, 16397, 16385, 16604, 16385, 16397, 16397, 16397, 19840, 16695, 19779, 16767, 21274, 16672, 16641, 20494, 27654, 30067, 18405, 16390, 16467, 17324, 16887, 20795, 16397, 16385, 16604, 16385, 18111, 16647, 31508, 31649, 16673, 36573, 16395, 48103, 16674, 27857, 31349, 16397, 16397, 16397, 17097, 29231, 16848, 16673, 17016, 16687, 16390, 16460, 18387, 16671, 24660, 16815, 16397, 16385, 16604, 16385, 18473, 16687, 54142, 17021, 17285, 16667, 17719, 33678, 19458, 16397, 16397, 16397, 16674, 17497, 16887, 17092, 23904, 16673, 20761, 16966, 16768, 33522, 16674, 35649, 27791, 16397, 16385, 16604, 16385, 34083, 16990, 16395, 17963, 16990, 16397, 16385, 16604, 16385, 50379, 17285, 16395, 17920, 17285, 16397, 16385, 16604, 16385, 34083, 16990, 16414, 16385, 16604, 16385, 18105, 16704, 17963, 16990, 16414, 16385, 16604, 16385, 34083, 16990, 17881, 20702, 16646, 16397, 16385, 16604, 16385, 18001, 17963, 16990, 16397, 16385, 16604, 16385, 17991, 16732, 17133, 17203, 16395, 19202, 17203, 16395, 16829, 17203, 16395, 27799, 17659, 16397, 16385, 16604, 16385, 17991, 16732, 17133, 17028, 17203, 16395, 19202, 17028, 17203, 16395, 16829, 17028, 17203, 16395, 18234, 17659, 16397, 16385, 16604, 16385, 17822, 17293, 46168, 16397, 16385, 16604, 16385, 23913, 20654, 16715, 16732, 16397, 16385, 16604, 16385, 48958, 16414, 16385, 16604, 16385, 38878, 16395, 16687, 16955, 16671, 21118, 16887, 17439, 26746, 16395, 17348, 16704, 16912, 18634, 16397, 16397, 16397, 22331, 16395, 17073, 16859, 21581, 19686, 16850, 16732, 17208, 16969, 19486, 34683, 17718, 17005, 16397, 16385, 16604, 16385, 18001, 17134, 16395, 16687, 20645, 16728, 16397, 16385, 16604, 16385, 44644, 16742, 16854, 17038, 21681, 19223, 16604, 16396, 19382, 16811, 20908, 16868, 17190, 16641, 16947, 16673, 16732, 16397, 16385, 16604, 16385, 23531, 16732, 16709, 16647, 23081, 17616, 16397, 16385, 16604, 16385, 16426, 17110, 16659, 16395, 29356, 16397, 16397, 16397, 16385, 16604, 16385, 19725, 16397, 16385, 16604, 16385, 20574, 16390, 16467, 17659, 18183, 16715, 16848, 16397, 16385, 16604, 16385, 18264, 16641, 18943, 16395, 29356, 16390, 16466, 20131, 16763, 16641, 22239, 16397, 16397, 16397, 17177, 16986, 16763, 16641, 22810, 18870, 16673, 24485, 16397, 16397, 16397, 16859, 17014, 16687, 19241, 16968, 30379, 16395, 16728, 16763, 16741, 16980, 16687, 24382, 16390, 16467, 18365, 16968, 16767, 16858, 16397, 16385, 16604, 16385, 20201, 16390, 16466, 16969, 55507, 16397, 16385, 16604, 16385, 18001, 17137, 16671, 21231, 16848, 16397, 16385, 16604, 16385, 16424, 17134, 16732, 17158, 16848, 16395, 24065, 16707, 16397, 16385, 16604, 16385, 16424, 16807, 18531, 16732, 17137, 16397, 16385, 16604, 16385, 25046, 16848, 16397, 16385, 16604, 16385, 26589, 16604, 16401, 30464, 16903, 16734, 16887, 27685, 16709, 17092, 18097, 16397, 16397, 16397, 17395, 16671, 17391, 16641, 17433, 21631, 16397, 16385, 16604, 16385, 41886, 16397, 16385, 16604, 16385, 17822, 17431, 17594, 16397, 16385, 16604, 16385, 17822, 17431, 17594, 16397, 16385, 16604, 16385, 26042, 16395, 16687, 16390, 16683, 17391, 16728, 16397, 16385, 16604, 16385, 16424, 16390, 16460, 17324, 22331, 16397, 16385, 16604, 16385, 32052, 16721, 16912, 23423, 16414, 16385, 16604, 16385, 16424, 16390, 16460, 22331, 16397, 16385, 16604, 16385, 21055, 16397, 16385, 16604, 16385, 44066, 16397, 16397, 16397, 16604, 16391, 21977, 16397, 16397, 16397, 16385, 16604, 16385, 16428, 18017, 16396, 23781, 16397, 16385, 16604, 16385, 16428, 18017, 16396, 23781, 16397, 16604, 16392, 16385, 16604, 16385, 44066, 16397, 16397, 16397, 16732, 16807, 17785, 18048, 16414, 16385, 16604, 16385, 19084, 16395, 16687, 20204, 16390, 16467, 16397, 16385, 16604, 16385, 17409, 16390, 16466, 16397, 16397, 16397, 16728, 16390, 16466, 20773, 16397, 16385, 16604, 16385, 16428, 18017, 20145, 17218, 16456, 16397, 16385, 16604, 16385, 18001, 19202, 35649, 16414, 16385, 16604, 16385, 21519, 16395, 16994, 27952, 18566, 19341, 16732, 17039, 16397, 16385, 16604, 16385, 16428, 18017, 20145, 17218, 16456, 16396, 19355, 18234, 16397, 16385, 16604, 16385, 53032, 16390, 16467, 16721, 16647, 17092, 17792, 16732, 18212, 17014, 16732, 16969, 17348, 16414, 16385, 16604, 16385, 55039, 18017, 16395, 32713, 18017, 16397, 16385, 16604, 16385, 55039, 18017, 16395, 32713, 18017, 16397, 16385, 16604, 16385, 18105, 17257, 16721, 17881, 16414, 16385, 16604, 16385, 28109, 16728, 18994, 16397, 16397, 16397, 16385, 16604, 16385, 30572, 16709, 16397, 16385, 16604, 16385, 18001, 17137, 16671, 17156, 16785, 16804, 16414, 16385, 16604, 16385, 16424, 16390, 16451, 17652, 16671, 16850, 16687, 17121, 16390, 16467, 17133, 16873, 21848, 17723, 16848, 16397, 16385, 16604, 16385, 31669, 16395, 18615, 16912, 18308, 16395, 23480, 16397, 16385, 16604, 16385, 18753, 16452, 16397, 16385, 16604, 16385, 16391, 30058, 16739, 17125, 18017, 25988, 16645, 16793, 17906, 16790, 19171, 46168, 22241, 16397, 16604, 16392, 16385, 16604, 16385, 16391, 30058, 16832, 18017, 46168, 22862, 16708, 16397, 16604, 16391, 23913, 26123, 16392, 16385, 16604, 16385, 20201, 16390, 16466, 16854, 16397, 16385, 16604, 16385, 28368, 16397, 16385, 16604, 16385, 33169, 16397, 16385, 16604, 16385, 30572, 16709, 16397, 16385, 16604, 16385, 23002, 21071, 16397, 16385, 16604, 16385, 23852, 16732, 17395, 37393, 16947, 16414, 16385, 16604, 16385, 59592, 17285, 16397, 16385, 16604, 16385, 17933, 17028, 16395, 16687, 16390, 16460, 16994, 16397, 16397, 16397, 16385, 16604, 16385, 18260, 16732, 17137, 16671, 20065, 16414, 16385, 16604, 16385, 17933, 17028, 16395, 16687, 16390, 16460, 16804, 29683, 16397, 16385, 16604, 16385, 17332, 17497, 25900, 16414, 16385, 16604, 16385, 19084, 16397, 16397, 16397, 18195, 16397, 16397, 16397, 17028, 17028, 17028, 16395, 17497, 17028, 25900, 16397, 16385, 16604, 16385, 18001, 17137, 16671, 16854, 16734, 16848, 16414, 16385, 16604, 16385, 19084, 16397, 16397, 16397, 18195, 16397, 16397, 16397, 17204, 16395, 16687, 16390, 16451, 17652, 16671, 16850, 16741, 16687, 17335, 16687, 16390, 16460, 16994, 18183, 17473, 16395, 23480, 16414, 16385, 16604, 16385, 17991, 16732, 16854, 16734, 16848, 16395, 17203, 16715, 16732, 16674, 17203, 16715, 16848, 16397, 16385, 16604, 16385, 16424, 17391, 17534, 16397, 16385, 16604, 16385, 19084, 20705, 16715, 16732, 16397, 16385, 16604, 16385, 16424, 17882, 16715, 17953, 16397, 16385, 16604, 16385, 16427, 16658, 16604, 16391, 64407, 16838, 16392, 16397, 16385, 16604, 16385, 24067, 16395, 19382, 16687, 17659, 17141, 16397, 16385, 16604, 16385, 26042, 16397, 16397, 16397, 16385, 16604, 16385, 19898, 16732, 17811, 16414, 16385, 16604, 16385, 21386, 16397, 16385, 16604, 16385, 26753, 16414, 16385, 16604, 16385, 26753, 16397, 16385, 16604, 16385, 23531, 16732, 18242, 23480, 16414, 16385, 16604, 16385, 16424, 17121, 16390, 16467, 16807, 18048, 16397, 16385, 16604, 16385, 18971, 17797, 16704, 17238, 20154, 16397, 16385, 16604, 16385, 26042, 16395, 20915, 16397, 16385, 16604, 16385, 18867, 16390, 16466, 22389, 16397, 16385, 16604, 16385, 51613, 16893, 16848, 30125, 16397, 16385, 16604, 16385, 18571, 17719, 16769, 16732, 16414, 16385, 16604, 16385, 26042, 16395, 28651, 16395, 16843, 16687, 16807, 16945, 18195, 16397, 16397, 16397, 16385, 16604, 16385, 24665, 24570, 16395, 16385, 16604, 16385, 35649, 24570, 16395, 16785, 17536, 16414, 16385, 16604, 16385, 17933, 16397, 16397, 16397, 17028, 16395, 17028, 16395, 17028, 16397, 16385, 16604, 16385, 32518, 16991, 16673, 16811, 18070, 22284, 16454, 16395, 23925, 16397, 16385, 16604, 16385, 53317, 17000, 21936, 16395, 52772, 51440, 16642, 31018, 16397, 16385, 16604, 16385, 46617, 16945, 16641, 18064, 16672, 47800, 16414, 16385, 16604, 16385, 19524, 20367, 16672, 19243, 16395, 38814, 16414, 16385, 16604, 16385, 26042, 16395, 16994, 16992, 20025, 16805, 17230, 19110, 16734, 16647, 18070, 36063, 16397, 16385, 16604, 16385, 19084, 16395, 17028, 16395, 17028, 16395, 16687, 16390, 16683, 16969, 17213, 16397, 16385, 16604, 16385, 16424, 16390, 16451, 16703, 25809, 24833, 16721, 17563, 17473, 16980, 16687, 16763, 16732, 16395, 38468, 16980, 16732, 16390, 16644, 17961, 16641, 19201, 16673, 17213, 16395, 16766, 16397, 16385, 16604, 16385, 26042, 16395, 17204, 16397, 16397, 16397, 17073, 16887, 28828, 27198, 16397, 16385, 16604, 16385, 30494, 16397, 16397, 16397, 16804, 17653, 22423, 22081, 16414, 16385, 16604, 16385, 26042, 16395, 17144, 32078, 29978, 16395, 17092, 18097, 16397, 16385, 16604, 16385, 18867, 16390, 16466, 17028, 17394, 18156, 16672, 16811, 17617, 19008, 16397, 16385, 16604, 16385, 17635, 17617, 17257, 23585, 17578, 16671, 17047, 16397, 16385, 16604, 16385, 46617, 16945, 16647, 20139, 16673, 18019, 16397, 16385, 16604, 16385, 21519, 19585, 16397, 16385, 16604, 16385, 18473, 17016, 16829, 16732, 16829, 16395, 16945, 16985, 17348, 16785, 17536, 16414, 16385, 16604, 16385, 16424, 16390, 16690, 17497, 16887, 25616, 16672, 16641, 17589, 17687, 61888, 16395, 16732, 17039, 16397, 16385, 16604, 16385, 17409, 16390, 16466, 16641, 17369, 17417, 16397 ]
[ 0, 38194, 16604, 16474, 16386, 16466, 16400, 16476, 16582, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16582, 16582, 39002, 20693, 28434, 16907, 16671, 19210, 16395, 41937, 16395, 16674, 46416, 17356, 17624, 16715, 18187, 26251, 16673, 17005, 16604, 16391, 16434, 17338, 17455, 17605, 16813, 16397, 16395, 16604, 16442, 16415, 16417, 16403, 16405, 16444, 16410, 24960, 17094, 17949, 16395, 16604, 16442, 16415, 16417, 16401, 16444, 16395, 16604, 16442, 16415, 16417, 16402, 16444, 16392, 16397, 17170, 22318, 20693, 17650, 16704, 24812, 16715, 25801, 17417, 16674, 16704, 18365, 16671, 25778, 16734, 22656, 18702, 16604, 16391, 35737, 17605, 16813, 16397, 16395, 16604, 16442, 16415, 16417, 16401, 16406, 16444, 16410, 16796, 22070, 35601, 17605, 16813, 16397, 16395, 16604, 16442, 16415, 16417, 16400, 16405, 16444, 16392, 16397, 26537, 16396, 21670, 25778, 16672, 18055, 20693, 21777, 36903, 16671, 19260, 16673, 28218, 16674, 27364, 18950, 16673, 17417, 16604, 16391, 16428, 16905, 20626, 16456, 17605, 16813, 16397, 16395, 16604, 16442, 16415, 16417, 16402, 16402, 16444, 16392, 16397, 18523, 16395, 16986, 16704, 19333, 16641, 17559, 17495, 16798, 16673, 20176, 32858, 16715, 17233, 33895, 17160, 18055, 20693, 25778, 16672, 20985, 22710, 16397, 20196, 16450, 19284, 17002, 17815, 17788, 36602, 16604, 16391, 16467, 16419, 23779, 16392, 33156, 24327, 16741, 16641, 19056, 26536, 16672, 16811, 24020, 16395, 16850, 19461, 16673, 16647, 27287, 26592, 16640, 16419, 23779, 19938, 16709, 18055, 20693, 17917, 16672, 20985, 22710, 21002, 52272, 18290, 16397, 16582, 16582, 27783, 16396, 29756, 17116, 18524, 19831, 16807, 24483, 16647, 22228, 16673, 16647, 57128, 16862, 25981, 16395, 20278, 16647, 56240, 16723, 27124, 17036, 24449, 16666, 45703, 16604, 16391, 16419, 28899, 22856, 16392, 16395, 16672, 18055, 20693, 17917, 16604, 16391, 31005, 17392, 16396, 16433, 16844, 16675, 16395, 16604, 16442, 16415, 16417, 16400, 16408, 16444, 16395, 16604, 16442, 16415, 16417, 16400, 16407, 16444, 16410, 34528, 17605, 16813, 16397, 16395, 16604, 16442, 16415, 16417, 16403, 16407, 16444, 16392, 16397, 16875, 23304, 16395, 28073, 16674, 25201, 24438, 16706, 19977, 19831, 17564, 16647, 30804, 22228, 16673, 57128, 23820, 16672, 18055, 20693, 16604, 16391, 23928, 16656, 40113, 45129, 17495, 17605, 16813, 16397, 16395, 16604, 16442, 16415, 16417, 16400, 16400, 16444, 16410, 18868, 29340, 17605, 16813, 16397, 16395, 16604, 16442, 16415, 16417, 16403, 16444, 16392, 16397, 19941, 59325, 28073, 20293, 18124, 16673, 17262, 57128, 16862, 17100, 23349, 16672, 20985, 22710, 16704, 19970, 16734, 19251, 18055, 20693, 18980, 16604, 16391, 16429, 17110, 16706, 17605, 16813, 16397, 16395, 16604, 16442, 16415, 16417, 16402, 16404, 16444, 16392, 16397, 16875, 18150, 16395, 18229, 24729, 20985, 22710, 26157, 21777, 19800, 17262, 39180, 17521, 19546, 27312, 16725, 17743, 27158, 16604, 16391, 16417, 33842, 16392, 19208, 19739, 16671, 17362, 24729, 20985, 22710, 16929, 26157, 41526, 33976, 16673, 57128, 23820, 16604, 16391, 16456, 16397, 16452, 16397, 16395, 35176, 26505, 33018, 16410, 16719, 24088, 19657, 17605, 16813, 16397, 16395, 16604, 16442, 16415, 16417, 16400, 16401, 16444, 16392, 16397, 26367, 16395, 25201, 35182, 16673, 16647, 18055, 20693, 19278, 36970, 16734, 20985, 18702, 16604, 16391, 16423, 17113, 17768, 17605, 16813, 16397, 16395, 16604, 16442, 16415, 16417, 16401, 16400, 16444, 16410, 41902, 16396, 16423, 22382, 17605, 16813, 16397, 16395, 16604, 16442, 16415, 16417, 16400, 16444, 16410, 31898, 17768, 17605, 16813, 16397, 16395, 16604, 16442, 16415, 16417, 16401, 16401, 16444, 16410, 48921, 17605, 16813, 16397, 16395, 16604, 16442, 16415, 16417, 16401, 16403, 16444, 16392, 16397, 19814, 16986, 16704, 20299, 19591, 22965, 16647, 18814, 16673, 57128, 28073, 16674, 25201, 25778, 16672, 18702, 16396, 21670, 18055, 20693, 18980, 16395, 16986, 16704, 16641, 19744, 16673, 20176, 32858, 26498, 16767, 29400, 16811, 25778, 16397, 24423, 32858, 16868, 16703, 19865, 16715, 29795, 17726, 17730, 22175, 19359, 16671, 16647, 20209, 18702, 16673, 16647, 17394, 19971, 16674, 16647, 19800, 33645, 16673, 18702, 16396, 21670, 29166, 25778, 16672, 16647, 19971, 16767, 18122, 16397, 16582, 16582, 27783, 16396, 57348, 20483, 36602, 22658, 16807, 16647, 19056, 16671, 19032, 29166, 22089, 16674, 33157, 20937, 16809, 59129, 19029, 16672, 20483, 17917, 16604, 16391, 16422, 28470, 16396, 34658, 17392, 17605, 16813, 16397, 16395, 16604, 16442, 16415, 16417, 16401, 16399, 16444, 16392, 16397, 16640, 16419, 23779, 16704, 16641, 19654, 16674, 18389, 17600, 17510, 16673, 17975, 16396, 57348, 20483, 36602, 16721, 17374, 34053, 16647, 24438, 16938, 19456, 19208, 16673, 20483, 24588, 16674, 16843, 19032, 20937, 17490, 17560, 16674, 17135, 26251, 16673, 36602, 17181, 17242, 16396, 16757, 25975, 55517, 16673, 38138, 29993, 53773, 16604, 16391, 16429, 17283, 17042, 16674, 19922, 16730, 16395, 16604, 16442, 16415, 16417, 16402, 16405, 16444, 16410, 31901, 16396, 30746, 20401, 17605, 16813, 16397, 16395, 16604, 16442, 16415, 16417, 16402, 16403, 16444, 16410, 31824, 17901, 17478, 16674, 60235, 17042, 37630, 16395, 16604, 16442, 16415, 16417, 16403, 16400, 16444, 16410, 22437, 17130, 16645, 17605, 16813, 16397, 16395, 16604, 16442, 16415, 16417, 16407, 16444, 16410, 34092, 17605, 16813, 16397, 16395, 16604, 16442, 16415, 16417, 16404, 16401, 16444, 16410, 22437, 17130, 16645, 17605, 16813, 16397, 16395, 16604, 16442, 16415, 16417, 16406, 16444, 16410, 16908, 18060, 16458, 24299, 17605, 16813, 16397, 16395, 16604, 16442, 16415, 16417, 16401, 16405, 16444, 16392, 16397, 30216, 19831, 16807, 25402, 16721, 16640, 16419, 23779, 16843, 19032, 16674, 24187, 18055, 20693, 16672, 20985, 22710, 16604, 16391, 41399, 17605, 16813, 16397, 16395, 16604, 16442, 16415, 16417, 16401, 16402, 16444, 16410, 34092, 17605, 16813, 16397, 16395, 16604, 16442, 16415, 16417, 16404, 16402, 16444, 16392, 16397, 17544, 18185, 16395, 54734, 16674, 41511, 29497, 16604, 16391, 16442, 16415, 16417, 16403, 16406, 16444, 16392, 25402, 16721, 20985, 22710, 16929, 19151, 20432, 16640, 16419, 23779, 17030, 45404, 16604, 16391, 16657, 17197, 16396, 16421, 16403, 16395, 39638, 17197, 16396, 19048, 17725, 27124, 37228, 16392, 17560, 16641, 18055, 20693, 19115, 25022, 21877, 20580, 20431, 16709, 16819, 48701, 25004, 16767, 17498, 16396, 47437, 23405, 16604, 16391, 27709, 21170, 16674, 41511, 29497, 16395, 16604, 16442, 16415, 16417, 16403, 16406, 16444, 16392, 16397, 39712, 16673, 16640, 16419, 23779, 22722, 16734, 18055, 20693, 19115, 16807, 19628, 16671, 25929, 16674, 19031, 19115, 27853, 16604, 16391, 29641, 23657, 17605, 16813, 16397, 16395, 16604, 16442, 16415, 16417, 16403, 16404, 16444, 16395, 16604, 16442, 16415, 16417, 16403, 16403, 16444, 16410, 22843, 17605, 16813, 16397, 16395, 16604, 16442, 16415, 16417, 16401, 16402, 16444, 16410, 54734, 16674, 41511, 29497, 16395, 16604, 16442, 16415, 16417, 16403, 16406, 16444, 16392, 16397, 39098, 18147, 17027, 23649, 16721, 16647, 34792, 16674, 20558, 16673, 16640, 16419, 23779, 38558, 16734, 18055, 20693, 19115, 17123, 16703, 17731, 27158, 16395, 16734, 20580, 20558, 32764, 17014, 19115, 25004, 16769, 16922, 18882, 16604, 16391, 16422, 16747, 17605, 16813, 16397, 16395, 16604, 16442, 16415, 16417, 16400, 16406, 16444, 16392, 16397, 18708, 19831, 26157, 16647, 24327, 16673, 16640, 16419, 23779, 16741, 16641, 19056, 26536, 16715, 18702, 16396, 21670, 18055, 20693, 25778, 16397, 16582, 16582, 21925, 16395, 16986, 16704, 16641, 24721, 16672, 19461, 16709, 16647, 25013, 16391, 16466, 16392, 16673, 18865, 16673, 16640, 16419, 23779, 16396, 19338, 41347, 16673, 18055, 20693, 16672, 16647, 20483, 16397, 17933, 18077, 16671, 19346, 16872, 20206, 28020, 16647, 19032, 16673, 16640, 16419, 23779, 16709, 25201, 35182, 16673, 16647, 18055, 20693, 19278, 16397, 29679, 20287, 16673, 16647, 25013, 16391, 16466, 16392, 16673, 18865, 16715, 16640, 16419, 23779, 16396, 19338, 18055, 20693, 41347, 16704, 22009, 16671, 38900, 16674, 41209, 16640, 16419, 23779, 16741, 16641, 19165, 19474, 16715, 29166, 25778, 16672, 20985, 22710, 16397, 17999, 18751, 16811, 24721, 16672, 19461, 16395, 16742, 20888, 16641, 20151, 18815, 18077, 20087, 16671, 26828, 16647, 29243, 16674, 17135, 16396, 56369, 16673, 16640, 16419, 23779, 16709, 25201, 35182, 16673, 18055, 20693, 23905, 16672, 20985, 22710, 17560, 16793, 16396, 23637, 18980, 16604, 16391, 16401, 16396, 20836, 16397, 16604, 16399, 16396, 18252, 16392, 16397, 17170, 18077, 22365, 26498, 16671, 26186, 16647, 17815, 19032, 16673, 16640, 16419, 23779, 20836, 16397, 45404, 16709, 16647, 18055, 20693, 19278, 16395, 18625, 21399, 16671, 54741, 17709, 16396, 18413, 16765, 34524, 16674, 19278, 17928, 18325, 16793, 16396, 18252, 25441, 16674, 17415, 19527, 16604, 16391, 21126, 20836, 16397, 45404, 16392, 16671, 18314, 17038, 32144, 16709, 17815, 20151, 18815, 19938, 16673, 16667, 29243, 16640, 16419, 23779, 26043, 16709, 16647, 19278, 16397, 17119, 28649, 17521, 16721, 20432, 36602, 20836, 16397, 45404, 16961, 17539, 16672, 19800, 57128, 35182, 17560, 18055, 20693, 18980, 16672, 20985, 22710, 16397, 16875, 18150, 16395, 16742, 28649, 17521, 16721, 19029, 16672, 25201, 35182, 16815, 20432, 16640, 16419, 23779, 16961, 16703, 20580, 16672, 16647, 17362, 16396, 43613, 16800, 16604, 16401, 16396, 23637, 20836, 16397, 16604, 16399, 16396, 23637, 19527, 16397, 16582, 16582, 65433, 16674, 33486, 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, 16582, 16582, 17507, 22546, 16641, 42983, 20639, 16396, 48738, 16665, 46685, 17989, 16396, 37554, 18077, 37120, 16647, 29243, 19938, 16673, 41526, 57128, 16640, 16419, 23779, 16604, 16391, 16401, 16669, 16416, 16715, 16604, 16400, 16401, 17414, 16410, 16773, 16402, 16398, 16421, 16403, 16392, 17560, 16667, 25201, 26683, 39448, 28365, 16604, 16391, 16453, 58594, 16392, 16738, 33842, 25384, 16397, 17544, 17492, 36602, 20249, 16604, 16391, 21126, 20836, 16397, 45404, 16392, 16395, 22381, 20888, 17567, 21435, 16604, 16391, 27618, 20976, 16396, 21126, 16398, 17258, 16707, 16395, 17560, 16396, 21126, 16398, 17258, 16707, 16395, 17498, 16396, 21126, 16398, 17258, 16707, 16392, 16673, 16667, 16793, 16396, 23637, 18055, 20693, 21535, 16397, 41988, 19151, 17492, 36602, 20249, 16604, 16391, 21126, 16674, 45404, 16392, 16767, 17142, 21681, 27286, 16604, 16391, 32849, 17521, 16674, 21263, 47239, 16392, 16395, 16674, 20781, 16395, 20920, 16741, 16914, 17304, 24758, 16397, 16604, 16442, 23236, 16604, 16400, 16444, 16391, 16386, 16421, 16400, 16392, 16474, 18452, 16396, 18926, 16412, 16385, 19327, 16385, 16476, 34874, 16647, 20562, 26182, 17802, 17405, 16672, 16811, 18077, 16397, 16582, 16582, 16384, 16442, 33962, 30248, 17802, 16715, 16647, 25201, 26683, 39448, 28365, 16604, 16391, 16453, 58594, 16392, 16793, 16396, 23637, 21535, 16397, 41988, 41179, 16667, 16793, 16396, 23637, 21535, 17329, 16604, 16391, 29298, 20976, 16392, 16395, 17560, 20432, 16785, 45404, 36602, 16604, 16391, 24480, 16392, 16395, 16674, 17135, 36602, 16763, 21817, 16604, 16391, 19569, 16392, 16397, 17008, 17197, 16604, 16412, 18901, 16410, 22058, 17197, 16604, 16412, 20939, 16397, 16711, 16395, 43895, 16410, 16739, 16395, 42435, 16410, 16790, 16395, 17939, 16410, 16778, 16395, 17262, 16397, 16444, 16391, 28484, 41392, 16396, 16400, 16400, 16396, 16399, 16399, 16399, 16404, 16400, 16396, 16454, 16399, 16399, 16399, 16400, 16392, 16474, 16386, 16421, 16400, 16476, 16582, 16582, 59822, 16604, 16474, 16386, 16466, 16401, 16396, 16400, 16476, 16582, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16582, 16582, 37728, 23491, 20985, 22710, 17415, 16647, 24900, 16673, 16604, 16405, 16400, 16396, 16396, 16407, 16401, 17202, 17719, 29616, 16672, 16811, 18077, 16604, 16443, 16442, 16461, 21379, 16604, 16412, 16604, 16405, 16410, 17881, 18702, 16604, 16391, 23460, 16392, 16604, 16412, 16604, 16406, 16400, 16397, 16406, 16404, 16604, 16391, 16406, 16397, 16401, 16408, 16392, 16410, 17881, 19091, 16604, 16412, 16604, 16400, 16405, 16397, 16407, 16604, 16391, 16400, 16397, 16408, 16401, 16392, 16443, 16444, 16397, 17958, 22381, 21443, 16641, 19428, 18496, 41510, 16674, 29166, 35255, 16671, 18053, 18077, 38085, 25145, 16397, 16772, 33720, 57856, 34764, 16604, 16391, 29902, 22153, 16392, 16763, 17405, 16671, 20503, 16715, 18650, 19364, 29166, 47711, 16397, 41988, 16958, 32550, 16672, 16647, 18077, 16980, 16873, 16958, 40377, 16396, 62097, 16395, 17914, 16671, 20028, 26113, 36602, 16709, 16647, 17693, 16395, 24411, 16767, 17965, 16604, 16401, 16399, 16785, 16922, 16709, 16647, 21143, 22153, 16604, 16391, 41094, 16604, 16412, 16604, 16401, 16405, 16397, 16404, 16405, 26692, 16604, 16412, 16604, 16401, 16397, 16408, 16403, 16392, 16395, 16958, 17262, 16396, 20739, 29578, 16395, 16674, 16804, 18625, 18244, 31607, 24127, 33210, 16640, 16419, 23779, 28689, 18038, 19938, 16604, 16391, 16456, 16397, 16452, 16397, 16395, 16796, 53805, 64651, 16395, 44960, 16707, 17105, 28333, 16395, 16785, 35981, 22351, 19623, 16756, 16410, 57648, 17605, 16813, 16397, 16395, 16604, 16442, 16415, 16417, 16402, 16401, 16444, 16392, 16397, 41988, 16734, 16641, 18496, 16673, 46934, 27821, 16395, 49231, 16395, 42430, 27821, 16395, 16672, 20432, 19165, 16715, 20053, 16395, 18722, 42713, 20483, 22193, 16734, 19260, 16673, 29628, 20580, 17032, 16604, 16401, 16399, 17414, 16395, 16785, 16998, 24438, 17094, 23010, 17225, 20062, 16958, 33553, 16815, 16647, 18077, 16397, 16772, 30100, 16833, 18472, 17415, 36602, 27286, 16715, 17492, 33564, 16763, 16604, 16407, 16397, 16404, 17897, 16709, 19183, 16604, 16391, 24193, 16604, 16412, 16604, 16405, 16396, 16396, 16400, 16405, 17897, 16392, 16397, 16772, 18077, 25022, 16763, 16672, 25828, 16734, 16647, 41504, 16673, 53175, 16674, 22782, 16809, 18059, 16673, 21000, 16390, 16466, 47577, 21242, 20738, 16397, 41988, 19194, 19517, 24608, 26535, 19421, 16671, 16998, 18077, 24218, 16397, 16582, 16582, 40533, 17710, 40377, 54486, 16604, 16474, 16386, 16466, 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, 16396 ]
[ 0, 28581, 20976, 16673, 37754, 17595, 16582, 16582, 16416, 34987, 16673, 16647, 18496, 16673, 37754, 17595, 16397, 16582, 16582, 17375, 21291, 17394, 16604, 16582, 16401, 16407, 16399, 16399, 16399, 27513, 16397, 46031, 25245, 16604, 16391, 16452, 16397, 16454, 16397, 16997, 17795, 28151, 46031, 16392, 16672, 16850, 16395, 18839, 24970, 16395, 38425, 21617, 16672, 16641, 38154, 17521, 22535, 16397, 58054, 51416, 16604, 16391, 17347, 17396, 20969, 18242, 16671, 16703, 18215, 16681, 17431, 16661, 16815, 22161, 16672, 54499, 16915, 16392, 16958, 37093, 16672, 17213, 20158, 31158, 30120, 16397, 16582, 16400, 16399, 16399, 16399, 16399, 27513, 16397, 17986, 16604, 16391, 16423, 31314, 16899, 21210, 17000, 16392, 49613, 20862, 23412, 16395, 42031, 16395, 31710, 16395, 51764, 16395, 16662, 43152, 16395, 16674, 16977, 21617, 16672, 18540, 16395, 25886, 20952, 16674, 16647, 37149, 20130, 16397, 16582, 16405, 16404, 16399, 16399, 27513, 16397, 16772, 16641, 17787, 40280, 16395, 53491, 16673, 23410, 33670, 16395, 16961, 16703, 49613, 20862, 16672, 16647, 17718, 17142, 28154, 16980, 16804, 20124, 16604, 16391, 16430, 19081, 16687, 16395, 65528, 16392, 16397, 17170, 35719, 34557, 16763, 16647, 17367, 18166, 18308, 22270, 16671, 16703, 16640, 18874, 16715, 17231, 16741, 16641, 19419, 16673, 24949, 16395, 24309, 16395, 17803, 16395, 16674, 30969, 16672, 16647, 22411, 18671, 16397, 16582, 16582, 16402, 16404, 16399, 16399, 27513, 16397, 21698, 16646, 17060, 22270, 16396, 38527, 24455, 16665, 23044, 16674, 16852, 18455, 16769, 20140, 16672, 32707, 61597, 16707, 16915, 16395, 16647, 19599, 18047, 16647, 16604, 16385, 16421, 17118, 16967, 60100, 16385, 16809, 16876, 16397, 16434, 16397, 35237, 24351, 20288, 24051, 20984, 32801, 16604, 16391, 16400, 16407, 16405, 16404, 17064, 16400, 16408, 16402, 16404, 16392, 16397, 22007, 16465, 22179, 17123, 17027, 16807, 17405, 22270, 17803, 16397, 19139, 20209, 16647, 18124, 17131, 47350, 16674, 25428, 16647, 17679, 16673, 17047, 19062, 16671, 22201, 18308, 16395, 20322, 16868, 27284, 16641, 17589, 17047, 16671, 18222, 36362, 16395, 17467, 46370, 16395, 31593, 16395, 16674, 43269, 16397, 21123, 21698, 20317, 16955, 17028, 19588, 46078, 16395, 44430, 16734, 31540, 56152, 16674, 16816, 17318, 18031, 19262, 41897, 16674, 16958, 16641, 17184, 16841, 16840, 19028, 16647, 18247, 16873, 54242, 16671, 19238, 16397, 24545, 17873, 16763, 20781, 19789, 16709, 16647, 34249, 16673, 17867, 17462, 16604, 16391, 16455, 25857, 16674, 56043, 16392, 16397, 16582, 16401, 16399, 16399, 16399, 27513, 16397, 26611, 16765, 18866, 16673, 16647, 41607, 42460, 16672, 19391, 16397, 16582, 16400, 16400, 16399, 16399, 27513, 16397, 39554, 40554, 16604, 16391, 30173, 16392, 16395, 17092, 16673, 16647, 16997, 16663, 17153, 16874, 17035, 16395, 60268, 16888, 36593, 37754, 18918, 24107, 16734, 36330, 16395, 51764, 16395, 26229, 16674, 22189, 16815, 17259, 20049, 16673, 16647, 17394, 16397, 20970, 37754, 16786, 18120, 16395, 16647, 21617, 17123, 16807, 16992, 18215, 16741, 37930, 16395, 28739, 16395, 16674, 22436, 32059, 16397, 16772, 46197, 17027, 22606, 35381, 19122, 16734, 16647, 17231, 16673, 21617, 16397, 16582, 16407, 16404, 16399, 27513, 16397, 51372, 16604, 16391, 62598, 16392, 16395, 17573, 19661, 16697, 16641, 24699, 30952, 16395, 19792, 16647, 18887, 17220, 16687, 17151, 16705, 16674, 53689, 16397, 22646, 21005, 21617, 16741, 36440, 16674, 31083, 17035, 16604, 16391, 16454, 17591, 24762, 19678, 17065, 42031, 16809, 16647, 36984, 32726, 16718, 16392, 16395, 16850, 17027, 16991, 19889, 28101, 16709, 40260, 16674, 23179, 19538, 16454, 18031, 16397, 22646, 18887, 17220, 17190, 21178, 16671, 16669, 18699, 16397, 16772, 23648, 48098, 19570, 27521, 16859, 20349, 16721, 16873, 16604, 16385, 22018, 25294, 17521, 16385, 17007, 16734, 23304, 16395, 16671, 17510, 17090, 17988, 16906, 17610, 16448, 18061, 16397, 18073, 16998, 18960, 16395, 21617, 16769, 17405, 16741, 31083, 17035, 16674, 24800, 32741, 16809, 51372, 16671, 17190, 16641, 49102, 17971, 16397, 16582, 16405, 16400, 16399, 27513, 16397, 17008, 17271, 16706, 20402, 16604, 16391, 62598, 16395, 16604, 16405, 16400, 16399, 27513, 17064, 16404, 16403, 16404, 27513, 16392, 16763, 16641, 19540, 16673, 16921, 18221, 16673, 44056, 16467, 16730, 16397, 16772, 17092, 17417, 16395, 16733, 23116, 16395, 16763, 22257, 16809, 43263, 21661, 16672, 16647, 33415, 16397, 30382, 21617, 18112, 17065, 17255, 16809, 17333, 31603, 16964, 16395, 17939, 16647, 17969, 16395, 16674, 21339, 22269, 18247, 16397, 17986, 16763, 26552, 16815, 19251, 21617, 16395, 18366, 52337, 16397, 18713, 37674, 16395, 18839, 16888, 30257, 17813, 28232, 16395, 16958, 17337, 16674, 29348, 16809, 57003, 16674, 16977, 18242, 51678, 16395, 16850, 16769, 19129, 16397, 16582, 16404, 16405, 16402, 16414, 27513, 16397, 41765, 16604, 16391, 41215, 16395, 16604, 16404, 16405, 16402, 16414, 17064, 16403, 16407, 16402, 27513, 16392, 16955, 26612, 20385, 16709, 16647, 19165, 16673, 21617, 16397, 44115, 16769, 18939, 16671, 16807, 41892, 18920, 16395, 16804, 16994, 16647, 19795, 16873, 41934, 16815, 16914, 56326, 16671, 16947, 16397, 16582, 16404, 16399, 16399, 27513, 16397, 21995, 38250, 21919, 16673, 28357, 41003, 16768, 16604, 16391, 62598, 16395, 16604, 16404, 16399, 16403, 17064, 16403, 16402, 16402, 27513, 16392, 29090, 21389, 16641, 19243, 16673, 44253, 16809, 58477, 24777, 18136, 25783, 16397, 17046, 21270, 16647, 21193, 16673, 16647, 17910, 17777, 17035, 16674, 16641, 19588, 24435, 16673, 19006, 17578, 16397, 16582, 16582, 16404, 16399, 16399, 27513, 16397, 17385, 16450, 17847, 16452, 16645, 16604, 16391, 62598, 16395, 16655, 16397, 16604, 16404, 16399, 16399, 27513, 16392, 20888, 18206, 16952, 42383, 16397, 17046, 21766, 16647, 54371, 31225, 16395, 34390, 17415, 45681, 16674, 52955, 16395, 16674, 20332, 16721, 16647, 27010, 16763, 16804, 21864, 16671, 16647, 20483, 16397, 17046, 17366, 17240, 16673, 16647, 30726, 16674, 22360, 17072, 16728, 17917, 16665, 16397, 17046, 17027, 19296, 16667, 25659, 16715, 19878, 16652, 16674, 16715, 20207, 16397, 16582, 16404, 16399, 16399, 27513, 16397, 55954, 18737, 23682, 16604, 16391, 62598, 16395, 16604, 16404, 16406, 16405, 17064, 16403, 16405, 16399, 27513, 16392, 16395, 16641, 62266, 16673, 25451, 16757, 16750, 16658, 16676, 16604, 16391, 16414, 17064, 16403, 16408, 16406, 27513, 16392, 16395, 17092, 23611, 61307, 16741, 22270, 21002, 16674, 54660, 16721, 16914, 21057, 16709, 27987, 24483, 16647, 24002, 16955, 18266, 16992, 29512, 16647, 21964, 16397, 16604, 16385, 17991, 27521, 16785, 24821, 16652, 16955, 19531, 16674, 17120, 19710, 16785, 17190, 46960, 16395, 27521, 16961, 18658, 16647, 21497, 16673, 31427, 16741, 27521, 16395, 24821, 16652, 16741, 24821, 16652, 16397, 16385, 22845, 16652, 16604, 16391, 16400, 16402, 16399, 16414, 17064, 16401, 16399, 16400, 16414, 16392, 54311, 17654, 16672, 61307, 16721, 16955, 16992, 27773, 16809, 57003, 16395, 16674, 16647, 17763, 21460, 16673, 55954, 18737, 23682, 16958, 17244, 27716, 16734, 19206, 16397, 16582, 16403, 16406, 16399, 27513, 16397, 19463, 17139, 17147, 16730, 16673, 18553, 16896, 16448, 16604, 16391, 62598, 16395, 16604, 16403, 16406, 16399, 17064, 16402, 16406, 16399, 27513, 16392, 17366, 16952, 42383, 16673, 17259, 21617, 16674, 23304, 16397, 17046, 16763, 16647, 17092, 25222, 36772, 16396, 49014, 16771, 16671, 32889, 16641, 30981, 16673, 21617, 16395, 45644, 17007, 17065, 19546, 16665, 21617, 16604, 16391, 25883, 16820, 17639, 17180, 16392, 16674, 19546, 17600, 21617, 16604, 16391, 40446, 16820, 17639, 17180, 16392, 16397, 17046, 17027, 18939, 16721, 19251, 21617, 16955, 19303, 16665, 34600, 16674, 16721, 16647, 20483, 16763, 16647, 22836, 16673, 17796, 16397, 16582, 16403, 16405, 16399, 27513, 16397, 54324, 56618, 16604, 16391, 62598, 16395, 16604, 16403, 16405, 16399, 16414, 17064, 16402, 16406, 16406, 16414, 27513, 16392, 16395, 16647, 16604, 16385, 44970, 16673, 25267, 16385, 16395, 17405, 22270, 16952, 42383, 16671, 22083, 18206, 49233, 16397, 58542, 19331, 32644, 16671, 17107, 16958, 36488, 16672, 45241, 16672, 16647, 16604, 16402, 20720, 20655, 27513, 16397, 18708, 18366, 18658, 16647, 18786, 16673, 18295, 22900, 16395, 16850, 16647, 27204, 18201, 16769, 19294, 26098, 16397, 16582, 16403, 16403, 16399, 27513, 16397, 19079, 53680, 16730, 16673, 27384, 17442, 17629, 16913, 16786, 16604, 16391, 62598, 16395, 16604, 16403, 16407, 16403, 17064, 16403, 16401, 16404, 27513, 16392, 22140, 37930, 62105, 16672, 16888, 20660, 22492, 16395, 16850, 16888, 22982, 16769, 18143, 18138, 16709, 24639, 35535, 16397, 17046, 33114, 16647, 53525, 16395, 16850, 17240, 16673, 23648, 34195, 36205, 16763, 18022, 19129, 16671, 19006, 20693, 16809, 16888, 17005, 16397, 16582, 16402, 16407, 16403, 27513, 16397, 57003, 16604, 16391, 62598, 16395, 16604, 16402, 16407, 16403, 17064, 16402, 16401, 16401, 27513, 16392, 23954, 17131, 54681, 16395, 16850, 16733, 16763, 16804, 40325, 16671, 27829, 16734, 16647, 21461, 16397, 18713, 19331, 20660, 22492, 32267, 17997, 16604, 16391, 16408, 19331, 16392, 16395, 16604, 16395, 16674, 16650, 17793, 16647, 37754, 18918, 20041, 16715, 28154, 16397, 17046, 39907, 16647, 18020, 16673, 19715, 16684, 28536, 16395, 23611, 17780, 16674, 17970, 16672, 26987, 37555, 16395, 16674, 26552, 32458, 62742, 18444, 16815, 21852, 23528, 16397, 17046, 22816, 16721, 16986, 16763, 16641, 19588, 21434, 16721, 21781, 16815, 19406, 16671, 19680, 16397, 17046, 17366, 32430, 16672, 16647, 18124, 16673, 30460, 31936, 16395, 17927, 16661, 16888, 37674, 16709, 30043, 28536, 16674, 27172, 27155, 16741, 17204, 16741, 27788, 16734, 18070, 25620, 52039, 52515, 16715, 17142, 17202, 16395, 20227, 16672, 16604, 16402, 16403, 16403, 27513, 16397, 18713, 18375, 16673, 21966, 21747, 16673, 27728, 16809, 16647, 38254, 16661, 19713, 27654, 16763, 62671, 16665, 16715, 28154, 18015, 22146, 19088, 16913, 16886, 22557, 57003, 16390, 16466, 23289, 16397, 57003, 16390, 16466, 30098, 50869, 18786, 16769, 19129, 16395, 16850, 17310, 16673, 16888, 30098, 50869, 19540, 16772, 18737, 19900, 16786, 16673, 16799, 16791, 16786, 16604, 16391, 16402, 16406, 16401, 17064, 16401, 16407, 16407, 27513, 16392, 16769, 17363, 18125, 16604, 16391, 17071, 28422, 17065, 54196, 16392, 16397, 16582, 16402, 16403, 16399, 27513, 16397, 54681, 16604, 16391, 62598, 16395, 16604, 16403, 16401, 16406, 17064, 16402, 16403, 16406, 27513, 16392, 18939, 16721, 21617, 29900, 16671, 21071, 16947, 16395, 16850, 16873, 17208, 16804, 16703, 20772, 50288, 17172, 16811, 16961, 17474, 17047, 16671, 20772, 17010, 16977, 17047, 16397, 31796, 16929, 16807, 49289, 16811, 20834, 16769, 16957, 16397, 21902, 30747, 34607, 16395, 18695, 37200, 47936, 16395, 16674, 30644, 44489, 26781, 16397, 16582, 16582, 16402, 16401, 16402, 27513, 16397, 27271, 16647, 20407, 16604, 16391, 16428, 19228, 50228, 16395, 16604, 16402, 16404, 16405, 17064, 16402, 16401, 16402, 27513, 16392, 23980, 21617, 16395, 16991, 20670, 16715, 16888, 17719, 19772, 57003, 16395, 17014, 16733, 16763, 16804, 23260, 63357, 17912, 16647, 18365, 17394, 16397, 17046, 16704, 39617, 16734, 16647, 25651, 16673, 16647, 16989, 59557, 17065, 18540, 16397, 44662, 16815, 17073, 50806, 24506, 49723, 16395, 16647, 16989, 59557, 16604, 16391, 16448, 16664, 16643, 25501, 16392, 16763, 35553, 24468, 16809, 43872, 18015, 16647, 27797, 16673, 16647, 42997, 16397, 16604, 16391, 23559, 22518, 32316, 16704, 17031, 16671, 16807, 20920, 21683, 16767, 16641, 18494, 48628, 16397, 16392, 16582, 16408, 16404, 27513, 16397, 21372, 18820, 20266, 16604, 16391, 16435, 34282, 21372, 18820, 20266, 18246, 16730, 16392, 16604, 16391, 45579, 16395, 16604, 16408, 16405, 16414, 17064, 16404, 16404, 27513, 16392, 20096, 16888, 18456, 17417, 19184, 16917, 30257, 16604, 16391, 38695, 55058, 16392, 16395, 18047, 17267, 16778, 16646, 16768, 16793, 45020, 16395, 16734, 16641, 19288, 16673, 16647, 37700, 21193, 16395, 16641, 21193, 16673, 57375, 16798, 16395, 19104, 16397, 16582, 16406, 16399, 27513, 16397, 23329, 17151, 16730, 20451, 16454, 18799, 16730, 17853, 16462, 16604, 16391, 16437, 16729, 48161, 16392, 16604, 16391, 16406, 16399, 17064, 16400, 16408, 27513, 16392, 16763, 16641, 22066, 23048, 30952, 16397, 18713, 34008, 45770, 37721, 16604, 16391, 16403, 16401, 17064, 16402, 16406, 27513, 16392, 16674, 23345, 17220, 16604, 16391, 16402, 16406, 17064, 16402, 16399, 27513, 16392, 18262, 17240, 17624, 16709, 22270, 20717, 16881, 16674, 20485, 17417, 16397, 18713, 16711, 17416, 16699, 16604, 16391, 39934, 17498, 33165, 19879, 16392, 16872, 17259, 27858, 16671, 16647, 37754, 17595, 16673, 16888, 17005, 16397, 16582, 16402, 16405, 27513, 16397, 36344, 17880, 17018, 20266, 37993, 16689, 16604, 16391, 16400, 16400, 16405, 17064, 16401, 16406, 27513, 16392, 19792, 16604, 16395, 16641, 18233, 17146, 16721, 19497, 19501, 16675, 21344, 16397, 17046, 17027, 22140, 16647, 18234, 16673, 28987, 17269, 16672, 16647, 16669, 18332, 16674, 22322, 16641, 21041, 20845, 16672, 16944, 16641, 52105, 16669, 18332, 16763, 51876, 16397, 16582, 16404, 16399, 16397, 47767, 16730, 29493, 59709, 47382, 20038, 16604, 16391, 45579, 16395, 16604, 16403, 27513, 17064, 19240, 16604, 16405, 16404, 16392, 16395, 49903, 16671, 23048, 46197, 16793, 19647, 16395, 26447, 16721, 21617, 16807, 17028, 18188, 16395, 16994, 32623, 16395, 16641, 16604, 16385, 36634, 16675, 16385, 18583, 16397, 17046, 45412, 16709, 16647, 19629, 16673, 21543, 22468, 25981, 22476, 16734, 17969, 16671, 20884, 17940, 17785, 23060, 16397, 16582, 16582, 16406, 16406, 16397, 17862, 20269, 16647, 41296, 16604, 16391, 45579, 16395, 16604, 16401, 16402, 17064, 16406, 16408, 16392, 19792, 16888, 16650, 16642, 16604, 16402, 16406, 30788, 16397, 17170, 16985, 16704, 16641, 20857, 16396, 16828, 16673, 37754, 18918, 63077, 16395, 63419, 17978, 16395, 16674, 16991, 17203, 28101, 16397, 16582, 16406, 16408, 16397, 17862, 20269, 16647, 54269, 17450, 16604, 16391, 45579, 16395, 16604, 16405, 16401, 17064, 16400, 16400, 16402, 16392, 16395, 44241, 16673, 17862, 20269, 16647, 41296, 16395, 38571, 16888, 31775, 16390, 16466, 22395, 16674, 19792, 16709, 39305, 35655, 16397, 16582, 16400, 16399, 16399, 16397, 17862, 16698, 17300, 16604, 16391, 45579, 16395, 16604, 16403, 16405, 16414, 17064, 16400, 16401, 16399, 16392, 22039, 16721, 21617, 16390, 20937, 16704, 30930, 16809, 18188, 16674, 20287, 16397, 20851 ]
[ 0, 38194, 16582, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16582, 16582, 16853, 59071, 20466, 49685, 16704, 16667, 19550, 18528, 16715, 26144, 23273, 20825, 17608, 16811, 17840, 21675, 17476, 32587, 16673, 38409, 16674, 34765, 17560, 22739, 17417, 16397, 16875, 16693, 65083, 21980, 16395, 23273, 20825, 16704, 16641, 19680, 17650, 16721, 25290, 23642, 55017, 16395, 28372, 21990, 34795, 16395, 51514, 16661, 16395, 16674, 56584, 31364, 16604, 16391, 16442, 16415, 16449, 16403, 16404, 16396, 16454, 18997, 16396, 16402, 16405, 16396, 16403, 16405, 16404, 16444, 16392, 16397, 21604, 22489, 16674, 16727, 26399, 19151, 16647, 38386, 29563, 16715, 16914, 26840, 16673, 20639, 16396, 18152, 16770, 56584, 31364, 16672, 16604, 16393, 33277, 16652, 16658, 21682, 16451, 24957, 30298, 16890, 16393, 16604, 16391, 16442, 16415, 16449, 16400, 16406, 16396, 16454, 18997, 16396, 16402, 16405, 16396, 16403, 16405, 16404, 16444, 16392, 16395, 16647, 17092, 22110, 27796, 16604, 16391, 31251, 16604, 16403, 16392, 16763, 16672, 17551, 22603, 17202, 17329, 16809, 17142, 19318, 16674, 19807, 28859, 16672, 16604, 16400, 16408, 16408, 16402, 16604, 16391, 16442, 16415, 16449, 16402, 16408, 16396, 16454, 18997, 16396, 16402, 16405, 16396, 16403, 16405, 16404, 16444, 16410, 16604, 16442, 16415, 16449, 16405, 16399, 16396, 16454, 18997, 16396, 16402, 16405, 16396, 16403, 16405, 16404, 16444, 16392, 16397, 16875, 16604, 16401, 16399, 16399, 16399, 16395, 16641, 17711, 22110, 27796, 16604, 16391, 31251, 16604, 16406, 16392, 16763, 21766, 16672, 16647, 17396, 32495, 16649, 17197, 16604, 16391, 16442, 16415, 16449, 16404, 16402, 16396, 16454, 18997, 16396, 16402, 16405, 16396, 16403, 16405, 16404, 16444, 16392, 16674, 18977, 17135, 16672, 17259, 16977, 20969, 16604, 16391, 16442, 16415, 16449, 16404, 16399, 16396, 16454, 18997, 16396, 16402, 16405, 16396, 16403, 16405, 16404, 16444, 16392, 16397, 19139, 16604, 16401, 16399, 16399, 16400, 16395, 16728, 16763, 18271, 16721, 22110, 42073, 18658, 16641, 17568, 16673, 17785, 51409, 40227, 17894, 16604, 16391, 16442, 16415, 16449, 16402, 16402, 16396, 16454, 18997, 16396, 16402, 16405, 16396, 16403, 16405, 16404, 16444, 16410, 16604, 16442, 16415, 16449, 16402, 16403, 16396, 16454, 18997, 16396, 16402, 16405, 16396, 16403, 16405, 16404, 16444, 16410, 16604, 16442, 16415, 16449, 16402, 16407, 16396, 16454, 18997, 16396, 16402, 16405, 16396, 16403, 16405, 16404, 16444, 16392, 16397, 24586, 17736, 25796, 16673, 56584, 40227, 17894, 16807, 16992, 23611, 16409, 20338, 27796, 16604, 16391, 23867, 27796, 16392, 16395, 18187, 56584, 31364, 16604, 16391, 26979, 27796, 16392, 16674, 28854, 35695, 28810, 31364, 16604, 16391, 21210, 27796, 16392, 16397, 18708, 17567, 40227, 17894, 16769, 16673, 18655, 19101, 16604, 16391, 34463, 16504, 16401, 16402, 21142, 61359, 16672, 20570, 16392, 16850, 16807, 23286, 16396, 27044, 57659, 22072, 16604, 16391, 16442, 16415, 16449, 16400, 16399, 16396, 16454, 18997, 16396, 16402, 16405, 16396, 16403, 16405, 16404, 16444, 16410, 16604, 16442, 16415, 16449, 16403, 16396, 16454, 18997, 16396, 16402, 16405, 16396, 16403, 16405, 16404, 16444, 16392, 16397, 21168, 42073, 16769, 19025, 17845, 16815, 17301, 16395, 20519, 40550, 20639, 16396, 18152, 30924, 40227, 17894, 16604, 16391, 16442, 16415, 16449, 16404, 16406, 16396, 16454, 18997, 16396, 16402, 16405, 16396, 16403, 16405, 16404, 16444, 16410, 16604, 16442, 16415, 16449, 16403, 16396, 16454, 18997, 16396, 16402, 16405, 16396, 16403, 16405, 16404, 16444, 16392, 16674, 16958, 25241, 19570, 16671, 19238, 16647, 19037, 35085, 16815, 20702, 58424, 32245, 16604, 16391, 28124, 16741, 38073, 16395, 17333, 18137, 17112, 16674, 17333, 18511, 16659, 16392, 16850, 16721, 18058, 20152, 16734, 16647, 26840, 16673, 27278, 20335, 23078, 58029, 21168, 42073, 16672, 22270, 19487, 16604, 16391, 16442, 16415, 16449, 16401, 16400, 16396, 16454, 18997, 16396, 16402, 16405, 16396, 16403, 16405, 16404, 16444, 16392, 16397, 28854, 42073, 16769, 17785, 40227, 17894, 16721, 30434, 16647, 28854, 35695, 17242, 31701, 16673, 18663, 20406, 17406, 26513, 16674, 19238, 16647, 36100, 17583, 16604, 16391, 16442, 16415, 16449, 16402, 16396, 16454, 18997, 16396, 16402, 16405, 16396, 16403, 16405, 16404, 16444, 16392, 16674, 60463, 27100, 19487, 16604, 16391, 16442, 16415, 16449, 16403, 16406, 16396, 16454, 18997, 16396, 16402, 16405, 16396, 16403, 16405, 16404, 16444, 16392, 16815, 39092, 17333, 63433, 21025, 16397, 16582, 16582, 23867, 42073, 35735, 23273, 20825, 16767, 16641, 17498, 16396, 21527, 19367, 17625, 17743, 18422, 16809, 24500, 31364, 36991, 16785, 16809, 33210, 27554, 17181, 19300, 16396, 46353, 16661, 16734, 40550, 29886, 17989, 39438, 16397, 21123, 28121, 22110, 27796, 28759, 16668, 17186, 16769, 18010, 16671, 18821, 16667, 39438, 16395, 17492, 22110, 27796, 16872, 16647, 19629, 16671, 35735, 16641, 18122, 17679, 16673, 24507, 16604, 16391, 16442, 16415, 16449, 16401, 16407, 16396, 16454, 18997, 16396, 16402, 16405, 16396, 16403, 16405, 16404, 16444, 16392, 16397, 23638, 20732, 16704, 16721, 16641, 51409, 22110, 27796, 16843, 35735, 17476, 25998, 33582, 16674, 37552, 22089, 16672, 19001, 38267, 16604, 16391, 16442, 16415, 16449, 16402, 16396, 16454, 18997, 16396, 16402, 16405, 16396, 16403, 16405, 16404, 16444, 16392, 16397, 16582, 16582, 17071, 18961, 17202, 16395, 17259, 22110, 42073, 16807, 16992, 21766, 16672, 22372, 16674, 21617, 16809, 26182, 16674, 39768, 25054, 16397, 42855, 16784, 16758, 40545, 16673, 16647, 21330, 16673, 22110, 42073, 16672, 16647, 59071, 20466, 49685, 16672, 17476, 40632, 19619, 17120, 18288, 17009, 28481, 17065, 16647, 26080, 16673, 23273, 20825, 16397, 16772, 20964, 16673, 16811, 18603, 16769, 16671, 35951, 16674, 34429, 16647, 26182, 16674, 39768, 19831, 16709, 22110, 27796, 16672, 21374, 16674, 39325, 44934, 59071, 20466, 49685, 16674, 16671, 18751, 16647, 26343, 16673, 22110, 27796, 16672, 24949, 16674, 18230, 17361, 16396, 44451, 25258, 16397, 16582, 16582, 30948, 35781, 16673, 22110, 27796, 16582, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16582, 16582, 23867, 42073, 16769, 23642, 16396, 43883, 31364, 46815, 16721, 16769, 16804, 31982, 17065, 26513, 16397, 22110, 27796, 40254, 48544, 16704, 16641, 19680, 17650, 16721, 25290, 18295, 21399, 16397, 16772, 48827, 31133, 16715, 22110, 27796, 18783, 35781, 21384, 17142, 40227, 16954, 27101, 40665, 16395, 42902, 36590, 16674, 16759, 48925, 16397, 16875, 16811, 17650, 16395, 22110, 42073, 16769, 25241, 17333, 26730, 16809, 31364, 64927, 20448, 16741, 17301, 29703, 20636, 30207, 16396, 34830, 21932, 16397, 17376, 16734, 39438, 16395, 17213, 31184, 16769, 21090, 20463, 16395, 49948, 16674, 20932, 28806, 18161, 16895, 16671, 21182, 20618, 22110, 27796, 16604, 16391, 20219, 16396, 23867, 27796, 16392, 16397, 17170, 48747, 16704, 30254, 16809, 16647, 36533, 42902, 36590, 16671, 24998, 17036, 16396, 23867, 27796, 16721, 16704, 17177, 37684, 16671, 16647, 57331, 16460, 17187, 16728, 16704, 17680, 26134, 16809, 16759, 48925, 16671, 16647, 30985, 20570, 16397, 16772, 25201, 50329, 16673, 30985, 22110, 27796, 16704, 28148, 21396, 16667, 18663, 20406, 17406, 16604, 16391, 16416, 17950, 16392, 22036, 16395, 16647, 17736, 56377, 16673, 16647, 31364, 16396, 31263, 19670, 23062, 19680, 16604, 16391, 16433, 57884, 16392, 16395, 17437, 16647, 16977, 50329, 16704, 62176, 16604, 16391, 16442, 16415, 16449, 16403, 16399, 16396, 16454, 18997, 16396, 16402, 16405, 16396, 16403, 16405, 16404, 16444, 16410, 16604, 16442, 16415, 16449, 16400, 16405, 16396, 16454, 18997, 16396, 16402, 16405, 16396, 16403, 16405, 16404, 16444, 16410, 16604, 16442, 16415, 16449, 16404, 16405, 16396, 16454, 18997, 16396, 16402, 16405, 16396, 16403, 16405, 16404, 16444, 16392, 16604, 16391, 16442, 23236, 16604, 16400, 16444, 16391, 16386, 16453, 16400, 16396, 16454, 18997, 16396, 16402, 16405, 16396, 16403, 16405, 16404, 16392, 16474, 18452, 16396, 18926, 16412, 16385, 19327, 16385, 16476, 16392, 16397, 16604, 16442, 16415, 16449, 16400, 16402, 16396, 16454, 18997, 16396, 16402, 16405, 16396, 16403, 16405, 16404, 16444, 17405, 16759, 48925, 16396, 16674, 42902, 36590, 16396, 29639, 17480, 16396, 16833, 25878, 16671, 23204, 16647, 26012, 16673, 17490, 40665, 16715, 16811, 48827, 22110, 27796, 40254, 48544, 16397, 18523, 16395, 16804, 16858, 22110, 42073, 16769, 22257, 16809, 16811, 31133, 16397, 16999, 16704, 17178, 18365, 16721, 16986, 16769, 30823, 16672, 17259, 16673, 16647, 21399, 19423, 16674, 16721, 16811, 16843, 21449, 16647, 18783, 35781, 18466, 16604, 16391, 16442, 16415, 16449, 16403, 16408, 16396, 16454, 18997, 16396, 16402, 16405, 16396, 16403, 16405, 16404, 16444, 16410, 16604, 16442, 16415, 16449, 16405, 16400, 16396, 16454, 18997, 16396, 16402, 16405, 16396, 16403, 16405, 16404, 16444, 16392, 16397, 30765, 41102, 19000, 16872, 22130, 25016, 40848, 16672, 22110, 27796, 18783, 35781, 16674, 16872, 19628, 16721, 17259, 17476, 29886, 16843, 18634, 16647, 17396, 22110, 27796, 48747, 16397, 16582, 16582, 32244, 18698, 16673, 22110, 27796, 16672, 59071, 20466, 49685, 16674, 24949, 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, 16582, 16582, 23867, 42073, 16807, 16992, 21766, 16672, 19487, 16674, 16672, 43205, 17274, 16741, 65488, 16395, 17045, 16461, 31524, 25727, 16395, 19546, 16395, 38686, 16674, 24949, 16397, 16875, 43205, 16395, 22110, 42073, 16769, 46698, 16672, 16794, 53127, 16604, 16391, 16442, 16415, 16449, 16405, 16405, 16396, 16454, 18997, 16396, 16402, 16405, 16396, 16403, 16405, 16404, 16444, 16392, 16397, 16772, 17679, 16673, 22110, 42073, 19074, 16715, 59071, 20466, 49685, 35177, 34080, 16604, 16391, 16442, 22224, 16604, 16400, 16444, 16391, 16386, 16467, 16400, 16396, 16454, 18997, 16396, 16402, 16405, 16396, 16403, 16405, 16404, 16392, 16474, 18452, 16396, 18926, 16412, 16385, 22246, 16385, 16476, 16392, 16397, 16604, 16442, 16415, 16449, 16400, 16401, 16396, 16454, 18997, 16396, 16402, 16405, 16396, 16403, 16405, 16404, 16444, 17405, 17362, 16396, 26514, 17781, 41102, 19000, 16671, 19514, 16715, 23078, 17785, 31364, 16672, 25868, 17302, 16837, 21645, 16674, 24949, 16397, 18916, 17568, 20681, 16647, 31184, 18138, 16709, 19101, 16395, 16873, 17494, 16641, 18655, 17679, 16673, 27955, 16672, 17490, 43205, 16604, 16391, 16400, 16395, 16404, 16408, 16403, 16395, 16408, 16405, 16404, 16672, 17302, 16837, 21645, 20836, 16604, 16400, 16395, 16403, 16400, 16407, 16395, 16400, 16402, 16405, 16672, 24949, 16392, 16397, 16711, 19514, 16672, 16647, 43739, 25993, 16604, 16391, 16448, 23355, 16673, 19807, 22110, 27796, 29886, 16674, 53613, 16392, 25901, 16672, 16647, 27353, 16673, 16604, 16401, 16402, 16399, 16674, 16604, 16401, 16400, 16402, 18365, 22110, 42073, 16672, 17302, 16837, 21645, 16674, 30985, 24949, 16395, 22358, 16397, 27385, 16647, 27577, 23078, 22110, 42073, 16395, 16604, 16400, 16399, 16407, 16958, 16903, 16396, 38011, 16674, 17097, 20545, 16958, 17285, 16396, 38011, 16672, 17302, 16837, 21645, 19739, 16671, 30985, 24949, 16397, 18708, 18466, 24396, 16641, 24566, 23273, 20825, 17560, 43597, 16725, 16397, 16604, 16442, 16415, 16449, 16401, 16405, 16396, 16454, 18997, 16396, 16402, 16405, 16396, 16403, 16405, 16404, 16444, 21766, 16641, 21677, 17679, 16673, 22110, 42073, 17032, 16604, 16442, 16415, 16449, 16400, 16401, 16396, 16454, 18997, 16396, 16402, 16405, 16396, 16403, 16405, 16404, 16444, 16395, 16734, 16604, 16400, 16399, 16399, 17255, 19857, 16715, 17302, 16837, 21645, 16674, 16604, 16404, 16402, 16715, 30985, 24949, 16397, 16999, 17208, 16703, 21931, 16721, 25743, 16604, 16442, 16415, 16449, 16400, 16401, 16396, 16454, 18997, 16396, 16402, 16405, 16396, 16403, 16405, 16404, 16444, 21789, 31364, 16815, 16641, 21036, 18636, 16673, 24949, 16674, 49430, 17785, 31364, 16809, 16739, 25431, 16395, 16604, 16442, 16415, 16449, 16401, 16405, 16396, 16454, 18997, 16396, 16402, 16405, 16396, 16403, 16405, 16404, 16444, 18358, 16734, 16641, 21677, 18636, 16673, 24949, 16674, 17405, 20338, 20980, 19335, 16397, 16604, 16442, 16415, 16449, 16403, 16403, 16396, 16454, 18997, 16396, 16402, 16405, 16396, 16403, 16405, 16404, 16444, 19074, 16604, 16400, 16400, 16395, 16408, 16405, 16403, 16395, 16408, 16399, 16408, 16674, 16604, 16400, 16404, 16395, 16408, 16405, 16407, 16395, 16400, 16400, 16405, 19791, 27955, 16815, 59071, 20466, 49685, 32113, 16672, 16647, 43597, 17160, 16674, 17975, 16396, 16459, 16935, 17160, 26251, 16395, 22358, 16397, 18916, 29727, 16661, 16647, 27955, 17647, 16647, 16604, 16393, 16417, 16786, 16640, 37533, 16393, 35085, 16674, 43739, 25993, 16395, 16604, 16407, 16407, 16404, 17036, 16396, 23867, 42073, 16958, 21766, 16674, 44607, 16715, 16604, 16408, 16401, 16400, 22110, 42073, 16410, 38508, 16504, 16405, 16399, 16388, 16673, 17213, 22110, 42073, 16958, 23078, 17560, 16647, 43597, 16725, 16674, 17975, 16396, 16459, 16935, 16725, 18472, 16410, 16673, 17213, 16395, 16604, 16401, 16403, 16407, 22110, 42073, 16958, 18365, 16395, 16604, 16404, 16406, 16958, 51409, 16674, 16604, 16401, 16402, 16408, 16958, 17009, 18231, 23450, 16397, 16875, 18206, 24949, 16395, 16604, 16442, 16415, 16449, 16405, 16405, 16396, 16454, 18997, 16396, 16402, 16405, 16396, 16403, 16405, 16404, 16444, 21766, 16794, 53127, 23858, 17036, 16396, 23867, 27796, 16815, 17910, 31883, 16397, 24273, 16673, 16647, 17772, 19709, 22110, 42073, 16604, 16391, 16402, 16399, 16449, 16395, 16604, 16400, 16407, 16401, 16395, 16604, 16401, 16399, 16399, 16448, 16674, 16604, 16400, 16403, 16407, 16448, 16392, 16958, 19359, 16671, 17476, 22797, 16673, 16647, 26709, 17434, 16395, 16734, 16647, 17154, 38709, 16673, 17007, 17255, 22110, 27796, 16604, 16400, 16403, 16407, 16448, 16395, 16944, 16704, 17027, 23078, 16672, 16660, 57232, 24949, 16604, 16391, 16442, 16415, 16449, 16400, 16401, 16396, 16454, 18997, 16396, 16402, 16405, 16396, 16403, 16405, 16404, 16444, 16392, 16397, 16582, 16582, 17071, 16641, 31710, 59071, 20466, 49685, 22864, 27609, 16815, 18334 ]
[ 0, 16396, 16396, 16396, 16582, 38841, 16409, 16604, 16390, 17507, 20838, 38381, 41934, 16647, 23231, 21011, 16709, 16647, 20562, 24047, 16673, 18494, 16396, 37044, 16645, 21661, 18138, 16709, 40817, 28966, 24340, 64370, 17220, 16604, 16391, 16432, 18525, 16392, 16395, 17187, 40817, 22207, 19260, 16704, 22140, 32196, 16397, 16772, 22207, 19260, 22277, 16671, 16641, 19972, 18700, 24511, 17415, 16647, 22207, 21661, 24047, 16674, 16647, 24660, 24047, 16395, 16944, 18466, 16672, 16641, 24812, 20776, 16709, 16647, 20562, 24047, 16397, 16772, 24284, 19251, 21011, 16709, 16647, 22155, 27505, 16704, 23078, 17097, 16734, 16667, 16604, 16894, 30697, 23626, 37960, 16395, 16385, 22204, 17348, 16741, 16647, 23626, 37960, 25594, 16734, 18577, 16671, 16647, 40817, 22207, 19260, 18960, 16397, 16772, 19251, 21011, 16704, 21715, 16809, 60570, 16647, 40817, 23703, 19260, 18960, 16395, 16944, 16843, 16703, 59849, 24389, 16809, 33299, 16785, 44681, 16647, 17333, 20548, 19283, 16673, 16647, 21425, 22327, 39583, 16397, 16772, 18528, 17405, 17348, 16704, 18723, 18010, 16671, 18233, 19001, 40817, 16396, 16432, 18525, 19938, 16395, 17274, 16741, 16647, 28041, 18933, 17717, 16395, 16709, 16396, 16791, 16645, 16795, 16785, 17021, 16396, 16791, 16645, 16795, 40817, 16396, 16652, 45707, 61505, 41318, 16395, 16674, 32724, 16396, 49576, 21111, 61505, 16911, 16456, 16775, 17957, 27470, 16397, 16711, 17573, 39520, 17650, 16395, 17187, 16647, 37924, 16704, 16691, 18406, 17135, 17073, 33405, 16671, 16647, 20808, 19453, 17731, 16395, 16704, 17027, 22849, 16397, 16390, 16582, 26371, 16409, 16582, 16396, 16604, 16390, 47654, 19877, 16796, 19636, 16395, 16387, 16445, 16400, 16387, 17485, 20659, 53434, 18436, 24033, 16395, 16387, 16445, 16401, 16387, 37720, 31189, 27514, 16720, 26969, 16395, 16387, 16445, 16402, 16387, 16674, 16700, 23499, 16462, 16711, 38866, 16387, 16445, 16401, 16387, 16390, 16582, 23718, 16409, 16604, 16390, 38824, 40283, 57952, 16709, 16647, 60347, 16673, 33630, 16396, 33734, 16645, 36194, 27733, 16709, 37783, 16798, 51523, 22669, 28514, 20527, 17220, 16390, 16582, 16396, 16396, 16396, 16582, 16582, 16393, 38194, 16393, 16397, 33630, 16396, 37044, 16645, 21331, 16769, 16641, 18474, 22825, 16715, 18345, 23796, 28966, 17624, 22402, 16674, 28966, 30414, 16604, 16442, 16415, 38342, 17212, 16401, 16399, 16399, 16407, 16448, 16444, 16397, 33630, 16396, 37044, 16645, 21331, 18138, 16709, 40817, 28966, 24340, 64370, 17220, 16604, 16391, 16432, 18525, 16392, 16604, 16442, 16415, 16420, 16656, 27504, 16401, 16399, 16400, 16400, 16448, 16410, 16604, 16415, 23973, 16801, 16401, 16399, 16400, 16404, 16448, 16410, 16604, 16415, 16426, 22775, 16461, 16401, 16399, 16400, 16399, 16448, 16410, 16604, 16415, 32303, 16400, 16408, 16408, 16406, 16448, 16410, 16604, 16415, 16437, 16676, 16967, 16469, 16401, 16399, 16400, 16399, 16448, 16410, 16604, 16415, 31975, 32366, 16401, 16399, 16399, 16403, 16448, 16410, 16604, 16415, 23891, 19846, 16401, 16399, 16399, 16408, 16448, 16410, 16604, 16415, 16426, 22775, 16461, 16400, 16408, 16408, 16408, 16448, 16410, 16604, 16415, 16419, 23249, 16401, 16399, 16399, 16402, 16448, 16444, 16769, 20278, 29334, 16395, 17172, 16873, 24190, 37145, 18815, 32186, 17065, 16641, 18494, 21920, 16395, 16944, 16704, 34203, 16715, 18229, 16396, 29942, 16674, 56810, 51091, 16397, 21414, 18494, 16396, 37044, 16645, 21661, 32541, 16807, 16992, 21270, 16674, 23954, 17655, 19001, 40817, 16396, 16432, 18525, 19938, 16395, 17274, 16741, 16647, 28041, 18933, 17717, 16604, 16442, 16415, 16420, 16656, 27504, 16401, 16399, 16400, 16400, 16448, 16410, 16604, 16415, 23973, 16801, 16401, 16399, 16400, 16404, 16448, 16410, 16604, 16415, 16426, 22775, 16461, 16401, 16399, 16400, 16399, 16448, 16444, 16395, 16709, 16396, 16791, 16645, 16795, 18331, 16442, 16415, 16426, 22775, 16461, 16401, 16399, 16400, 16399, 16448, 16410, 16604, 16415, 32303, 16400, 16408, 16408, 16406, 16448, 16410, 16604, 16415, 16437, 16676, 16967, 16469, 16401, 16399, 16400, 16399, 16448, 16444, 16785, 17021, 16396, 16791, 16645, 16795, 18331, 16442, 16415, 31975, 32366, 16401, 16399, 16399, 16403, 16448, 16410, 16604, 16415, 23891, 19846, 16401, 16399, 16399, 16408, 16448, 16444, 40817, 16396, 16652, 45707, 61505, 41318, 16395, 16674, 32724, 16396, 49576, 21111, 61505, 16911, 16456, 16775, 17957, 27470, 16604, 16391, 16469, 17904, 20678, 18987, 16392, 16604, 16442, 16415, 16420, 16656, 27504, 16401, 16399, 16400, 16400, 16448, 16410, 16604, 16415, 23973, 16801, 16401, 16399, 16400, 16404, 16448, 16410, 16604, 16415, 16426, 22775, 16461, 16401, 16399, 16400, 16399, 16448, 16410, 16604, 16415, 16437, 16676, 16967, 16469, 16401, 16399, 16400, 16399, 16448, 16410, 16604, 16415, 16426, 22775, 16461, 16400, 16408, 16408, 16408, 16448, 16410, 16604, 16415, 16419, 23249, 16401, 16399, 16399, 16402, 16448, 16410, 16604, 16415, 31975, 32366, 16401, 16399, 16399, 16403, 16448, 16444, 16397, 16582, 16582, 16853, 20562, 24047, 16673, 18494, 16396, 37044, 16645, 21661, 18138, 16709, 40817, 17695, 18525, 16704, 28414, 16673, 17142, 20671, 16409, 16647, 22207, 21661, 24047, 16604, 16387, 16443, 19866, 16446, 16474, 16443, 24160, 16474, 16642, 16476, 16476, 16387, 16604, 16391, 52709, 18038, 16721, 16641, 49650, 16704, 23540, 19575, 16647, 40817, 16392, 16674, 16647, 24660, 24047, 16604, 16387, 16443, 19866, 16446, 16474, 16443, 24160, 16474, 26397, 16476, 16476, 16387, 16604, 16391, 52709, 18038, 16721, 16641, 23540, 49650, 16704, 35265, 16671, 16641, 26109, 23703, 21920, 16392, 16397, 16772, 23231, 37773, 16709, 16604, 16387, 16443, 19866, 16446, 16474, 16443, 24160, 16474, 16642, 16476, 16476, 16387, 16395, 18138, 16709, 16647, 23626, 37960, 25594, 16604, 16387, 16418, 16387, 18331, 16442, 16415, 23973, 16801, 16401, 16399, 16400, 16404, 16448, 16444, 16395, 16807, 16992, 26552, 16715, 16991, 16673, 16647, 18568, 32541, 16604, 16442, 16415, 23973, 16801, 16401, 16399, 16400, 16404, 16448, 16410, 16604, 16415, 16426, 22775, 16461, 16401, 16399, 16400, 16399, 16448, 16410, 16604, 16415, 32303, 16400, 16408, 16408, 16406, 16448, 16410, 16604, 16415, 16437, 16676, 16967, 16469, 16401, 16399, 16400, 16399, 16448, 16444, 16397, 16604, 16387, 16418, 16387, 16704, 16672, 39924, 41476, 16671, 16647, 18804, 40817, 19260, 18960, 16395, 16604, 16387, 16443, 34388, 16412, 16443, 34388, 16446, 16474, 16443, 24160, 16474, 17345, 16476, 16476, 16394, 16443, 34388, 16446, 16474, 16443, 24160, 16474, 16642, 16476, 16476, 16387, 16395, 17187, 16604, 16387, 16443, 34388, 16446, 16474, 16443, 24160, 16474, 17345, 16476, 16476, 16387, 16674, 16604, 16387, 16443, 34388, 16446, 16474, 16443, 24160, 16474, 16642, 16476, 16476, 16387, 16769, 16647, 23703, 16674, 22207, 19260, 20627, 16395, 22358, 18331, 16442, 16415, 36308, 16396, 29942, 16444, 16397, 24695, 16721, 16604, 16387, 16443, 34388, 16446, 16474, 16443, 24160, 16474, 17345, 16476, 16476, 16387, 16843, 16703, 59849, 24389, 16809, 33299, 16785, 44681, 16647, 17333, 20548, 19283, 16673, 16647, 21425, 22327, 39583, 16397, 23121, 16395, 16604, 16387, 16443, 19866, 16446, 16474, 16443, 24160, 16474, 16642, 16476, 16476, 16387, 16704, 28864, 17521, 16809, 20989, 16604, 16387, 16443, 34388, 16446, 16474, 16443, 24160, 16474, 17345, 16476, 16476, 16387, 16671, 16641, 17785, 18020, 16859, 16721, 16604, 16387, 16443, 34388, 16604, 16443, 36167, 16604, 16443, 34388, 16446, 16474, 16443, 24160, 16474, 16642, 16476, 16476, 16387, 16397, 18523, 16395, 16641, 18229, 16604, 16387, 16443, 34388, 16446, 16474, 16443, 24160, 16474, 17345, 16476, 16476, 16387, 18466, 16672, 16641, 18229, 24660, 24047, 16604, 16387, 16443, 19866, 16446, 16474, 16443, 24160, 16474, 26397, 16476, 16476, 16412, 16443, 34388, 16446, 16474, 16443, 24160, 16474, 17345, 16476, 16476, 16398, 16443, 34388, 16387, 16395, 16944, 24727, 16647, 16816, 28067, 18714, 16673, 16647, 23540, 57770, 17065, 16647, 26109, 21920, 16397, 17664, 16704, 20821, 16641, 16604, 16393, 45481, 18700, 16393, 24511, 17415, 16604, 16387, 16443, 19866, 16446, 16474, 16443, 24160, 16474, 16642, 16476, 16476, 16387, 16674, 16604, 16387, 16443, 19866, 16446, 16474, 16443, 24160, 16474, 26397, 16476, 16476, 16387, 16734, 18577, 16671, 16604, 16387, 16443, 34388, 16446, 16474, 16443, 24160, 16474, 17345, 16476, 16476, 16387, 16395, 16674, 16604, 16387, 16443, 34388, 16446, 16474, 16443, 24160, 16474, 17345, 16476, 16476, 16387, 17208, 16703, 41753, 16671, 37572, 16647, 20562, 24047, 16397, 17170, 19972, 18700, 24511, 16872, 16804, 16992, 28152, 16672, 18722, 19831, 16395, 17187, 16647, 22207, 19260, 18960, 16604, 16387, 16443, 34388, 16446, 16474, 16443, 24160, 16474, 16642, 16476, 16476, 16387, 16872, 16804, 16992, 22140, 32196, 16397, 27903, 16395, 18722, 19831, 16709, 16647, 49650, 16396, 36399, 24047, 16807, 16804, 18711, 18375, 16673, 16641, 17573, 39520, 17650, 16395, 17187, 16647, 37924, 17382, 16975, 16671, 16647, 20808, 19453, 17731, 19565, 43263, 32186, 16674, 16704, 16604, 16894, 16644, 18406, 16385, 16715, 40817, 16396, 37044, 16645, 21661, 16604, 16442, 16415, 23891, 19846, 16401, 16399, 16399, 16408, 16448, 16444, 16397, 16582, 16582, 17071, 16811, 19420, 16395, 16742, 20838, 38381, 41934, 16647, 23231, 21011, 16709, 16647, 20562, 24047, 16673, 18494, 16396, 37044, 16645, 21661, 18138, 16709, 40817, 17695, 18525, 16395, 16809, 18625, 17065, 18375, 17490, 16647, 40817, 22207, 19260, 16674, 16647, 17573, 39520, 17650, 16397, 17119, 17231, 16647, 18528, 19628, 16672, 24502, 16397, 18331, 16443, 16442, 19327, 16396, 29372, 16443, 16444, 16395, 16944, 16704, 17914, 16671, 23467, 17154, 16673, 16647, 21216, 21270, 21661, 32541, 16395, 16734, 16785, 17714, 16647, 17573, 39520, 17650, 16395, 16672, 16641, 41894, 16674, 46034, 22305, 16397, 16582, 16582, 17071, 18343, 16395, 16742, 17299, 16721, 16647, 19251, 21011, 16709, 16647, 22155, 27505, 16715, 18494, 16396, 37044, 16645, 21661, 16395, 16604, 16387, 16431, 16446, 16421, 16387, 16395, 16715, 16647, 17843, 16673, 17028, 17573, 39520, 16395, 16704, 18201, 16809, 16604, 16442, 16415, 36308, 16396, 16645, 16396, 16422, 19636, 16410, 16604, 16415, 16422, 19636, 16401, 16399, 16399, 16407, 16448, 16410, 16604, 16415, 16422, 19636, 16401, 16399, 16400, 16399, 16448, 16444, 16604, 16387, 16387, 16443, 18364, 16474, 46162, 16476, 16582, 16431, 16446, 16421, 16582, 16443, 16840, 16582, 16443, 19873, 16474, 16401, 16476, 16474, 16443, 44668, 16604, 16400, 16394, 16443, 25600, 16474, 16400, 16394, 16401, 16418, 16446, 16474, 16443, 24160, 16474, 16642, 16476, 16476, 16476, 16476, 16582, 16443, 36167, 16604, 16443, 25600, 16474, 16443, 19873, 16474, 16401, 16476, 16474, 16418, 16446, 16474, 16443, 24160, 16474, 16642, 16476, 16476, 16476, 16476, 16395, 16582, 16443, 19974, 16474, 20417, 16396, 40778, 16476, 16443, 16806, 16474, 46162, 16476, 16387, 16387, 17187, 16742, 16807, 22204, 16647, 16604, 16894, 30697, 23626, 37960, 16395, 16385, 16604, 16387, 16387, 16443, 18364, 16474, 46162, 16476, 16582, 16418, 16446, 16474, 16443, 24160, 16474, 16642, 16476, 16476, 16412, 16582, 16443, 19873, 16474, 16454, 16445, 16401, 16476, 16474, 16401, 16443, 34388, 16446, 16474, 16443, 24160, 16474, 16642, 16476, 16476, 16604, 16443, 24673, 16604, 16476, 16395, 16582, 16443, 19974, 16474, 20417, 16396, 16418, 16642, 16476, 16443, 16806, 16474, 46162, 16476, 16387, 16387, 16741, 16647, 23626, 37960, 25594, 16734, 18577, 16671, 16604, 16387, 16443, 34388, 16446, 16474, 16443, 24160, 16474, 16642, 16476, 16476, 16387, 19095, 16673, 16604, 16387, 16443, 34388, 16387, 16715, 16647, 19749, 23208, 16395, 16604, 16387, 16418, 16412, 16454, 16445, 16401, 16398, 16391, 16401, 16443, 34388, 16604, 16443, 24673, 16604, 16392, 16387, 16604, 16442, 16415, 23973, 16801, 16401, 16399, 16400, 16404, 16448, 16444, 16397, 16772, 40986, 16672, 34511, 16397, 18331, 16391, 16443, 16442, 20417, 16396, 40778, 16443, 16444, 16392, 22952, 17014, 16604, 16387, 16418, 16446, 16474, 16443, 24160, 16474, 16642, 16476, 16476, 16604, 16443, 17493, 16604, 16400, 16387, 16397, 16582, 16582, 16853, 19251, 21011, 16709, 16604, 16387, 16431, 16446, 16421, 16387, 16672, 34511, 16397, 18331, 16391, 16443, 16442, 20417, 16396, 40778, 16443, 16444, 16392, 16704, 21715, 17014, 16604, 16387, 16443, 34388, 16446, 16474, 16443, 24160, 16474, 17345, 16476, 16476, 16387, 16704, 17280, 16671, 17073, 29682, 18020, 16395, 16604, 16387, 16387, 16443, 18364, 16474, 46162, 16476, 16582, 16443, 34388, 16446, 16474, 16443, 24160, 16474, 17345, 16476, 16476, 16445, 16474, 16443, 24160, 16474, 19299, 16476, 16476, 16604, 16582, 16443, 37337, 16604, 16443, 34388, 16446, 16474, 16443, 24160, 16474, 16642, 16476, 16476, 16604, 16443, 25600, 16474, 16400, 16394, 16401, 16418, 16446, 16474, 16443, 24160, 16474, 16642, 16476, 16476, 16476, 16395, 16582, 16443, 19974, 16474, 20417, 16396, 65217, 16396, 16749, 16471, 16476, 16443, 16806, 16474, 46162, 16476, 16387, 16387, 16674, 16704, 19325, 23078, 16741, 16604, 16387, 16401, 16443, 34388, 16446, 16474, 16443, 24160, 16474, 16642, 16476, 16476, 16398, 16443, 34388, 16445, 16474, 16443, 24160, 16474, 19299, 16476, 16476, 16387, 16395, 17187, 16604, 16387, 16443, 34388, 16445, 16474, 16443, 24160, 16474, 19299, 16476, 16476, 16582, 16443, 37337, 16582, 16443, 34388, 16446, 16474, 16443, 24160, 16474, 16642, 16476, 16476, 16582, 16394, 16582, 16443, 34388, 16446, 16474, 16443, 24160, 16474, 17345, 16476, 16476, 16445, 16474, 16443, 24160, 16474, 19299, 16476, 16476, 16387, 16604, 16442, 16415, 36308, 16396, 16749, 16471, 16444, 16397, 24695, 16721, 16647, 26182, 19795, 16673, 16604, 16387, 16391, 16454, 16395, 16443, 24673, 16395, 16443, 34388, 16446, 16474, 16443, 24160, 16474, 16642, 16476, 16476, 16392, 16387, 21349, 16944, 26618, 16647, 17434, 17208, 16703, 16672, 16409, 16647, 28041, 18933, 26618, 16604, 16391, 16387, 16443, 34388, 16604, 16443, 17493, 16695, 16604, 16443, 17493, 16604, 16443, 24673, 16387, 16392, 16395, 16647, 18354, 16396, 52820, 25366, 26618, 16604, 16391, 16604, 16387, 16454, 16604, 16443, 17493, 16604, 16391, 16443, 34388, 16395, 16604, 16443, 24673, 16392, 16387, 16392, 16395, 16785, 16647, 33656, 26618, 16604, 16391, 16387, 16443, 34388, 16604, 16443, 36167, 16695, 16604, 16443, 17493, 16604, 16443, 24673, 16387, 16392, 16397, 16582, 16582, 16853, 31445, 16673, 16811, 19420, 16704, 25095, 16741, 21983, 16397, 19833, 16395, 16742 ]
[ 0, 35392, 16404, 16738, 24728, 24572, 16582, 16582, 38852, 22854, 16672, 16647, 21993, 23008, 28265, 17107, 16671, 19611, 16858, 16647, 21274, 16733, 26894, 16384, 33996, 16647, 17546, 16674, 17671, 16647, 30549, 16673, 29197, 50445, 16397, 17564, 16887, 18592, 16709, 21866, 16397, 21470, 57477, 16397, 17070, 16398, 16449, 16707, 18566, 19288, 16715, 23276, 16604, 16405, 16403, 16660, 16731, 17503, 17421, 16409, 16398, 16398, 25810, 16397, 48922, 16398, 16386, 16421, 16384, 16713, 16404, 16470, 16399, 45697, 16426, 16384, 60126, 16424, 16405, 16467, 16418, 16464, 16403, 16473, 16441, 16433, 34492, 16459, 16436, 16401, 16469, 16405, 16458, 16400, 16467, 16454, 19288, 16715, 25213, 20782, 16409, 16398, 16398, 25810, 16397, 48922, 16398, 16386, 16384, 16435, 16825, 16438, 22809, 16454, 16440, 16384, 16399, 54158, 16464, 16449, 54853, 24253, 16435, 19785, 16400, 51982, 16407, 27542, 16426, 28315, 16405, 47297, 16407, 16426, 16400, 16428, 16404, 16403, 41286, 16419, 16471, 16428, 46388, 16453, 26285, 16464, 16399, 49159, 16409, 16604, 16401, 16407, 16406, 16399, 16400, 16582, 16582, 17635, 16704, 16667, 55058, 33963, 19288, 16673, 16647, 17546, 16397, 18724, 16703, 18973, 16409, 16604, 16396, 17009, 18932, 26424, 16604, 16396, 17009, 31220, 16604, 16396, 17009, 20696, 16604, 16396, 17009, 21717, 17462, 17958, 18541, 16931, 16811, 17546, 16674, 16887, 16977, 20183, 16732, 16843, 17393, 17348, 20782, 16409, 16398, 16398, 18409, 16397, 21470, 57477, 16397, 17070, 16398, 16996, 16745, 16786, 25065, 49159, 16409, 16604, 16400, 16404, 16400, 16407, 16400, 16582, 16582, 16423, 16682, 18017, 22758, 19554, 16704, 16667, 54995, 16733, 22820, 18017, 22739, 17546, 26072, 16641, 17953, 16396, 16689, 20393, 18805, 16395, 41256, 16674, 37867, 20542, 16674, 21772, 16697, 33337, 22739, 18706, 24988, 16397, 57426, 16734, 28810, 24988, 18616, 16641, 17785, 18636, 16673, 16672, 17546, 18048, 16395, 18919, 41940, 16390, 16466, 34732, 17953, 16397, 16875, 17546, 18048, 16843, 16703, 17494, 16767, 17599, 25212, 18842, 16672, 16396, 24641, 16944, 17599, 25212, 16466, 27043, 18266, 16641, 17649, 16397, 16751, 16682, 18017, 22758, 19554, 16763, 17799, 16809, 16641, 17785, 17562, 16673, 26440, 16397, 17119, 16807, 17646, 17038, 24198, 18226, 16709, 16647, 18356, 16715, 17259, 18626, 16850, 16742, 17121, 16390, 16467, 18328, 17038, 17546, 19303, 16397, 28265, 16907, 19077, 16751, 16682, 18017, 22758, 19554, 16809, 19184, 16641, 18603, 16395, 16850, 16829, 17754, 16672, 18282, 16721, 16742, 16807, 20079, 16671, 19492, 16671, 17754, 16647, 17546, 18693, 16674, 16969, 17009, 19014, 18973, 16397, 17119, 17337, 16674, 17391, 16998, 16674, 16858, 27120, 17065, 25381, 16397, 21380, 16732, 16715, 16912, 17005, 26867, 16907, 16891, 16384, 49159, 16409, 16604, 16402, 16406, 16402, 16400, 16582, 16582, 17635, 17792, 16390, 16466, 16992, 16672, 16647, 18786, 17608, 17536, 16945, 18810, 16604, 16401, 16399, 16400, 16407, 16395, 16674, 16704, 17363, 17238, 17240, 16641, 16985, 16672, 20143, 16397, 23890, 16719, 43317, 16671, 31420, 19003, 16397, 35470, 16671, 18291, 17736, 25556, 16397, 16702, 19754, 16769, 28917, 16397, 20339, 16647, 40230, 35872, 16965, 22697, 19429, 16673, 16647, 17546, 16395, 20120, 22004, 16395, 18541, 16395, 22125, 16674, 17261, 16671, 17754, 16647, 17913, 23715, 16809, 22965, 35112, 61384, 16709, 19394, 57477, 16409, 20782, 16409, 16398, 16398, 18409, 16397, 21470, 57477, 16397, 17070, 16398, 58187, 59631, 17937, 16709, 54810, 25925, 16409, 20782, 16409, 16398, 16398, 18409, 16397, 19541, 28911, 16765, 16668, 16397, 17070, 16398, 58187, 59631, 49159, 16409, 16604, 16400, 16405, 16402, 16405, 16402, 16582, 16582, 16391, 64954, 16409, 25453, 16647, 20120, 25549, 16673, 37486, 16785, 47069, 16704, 20349, 23925, 16384, 22795, 17123, 24328, 16767, 17298, 21327, 16397, 17426, 16732, 17363, 16807, 19153, 16734, 16647, 17546, 16395, 16732, 16843, 22156, 16647, 32493, 19288, 17348, 16409, 19597, 16409, 16398, 16398, 42310, 16397, 25034, 16397, 17070, 16398, 23141, 16414, 16699, 16412, 16400, 16471, 16406, 36361, 16407, 16439, 16402, 16454, 16470, 29808, 16436, 16468, 27800, 16440, 16451, 22777, 19808, 16419, 16464, 16419, 16405, 16459, 43106, 16422, 30518, 16432, 18855, 16390, 16467, 22069, 16980, 16912, 54033, 20823, 45248, 16903, 16395, 16728, 16390, 16466, 16604, 16400, 16399, 16399, 16388, 19654, 16384, 16392, 16999, 18200, 16641, 17437, 16395, 16850, 17348, 16390, 16466, 16647, 23362, 16604, 16401, 16673, 36819, 16647, 26694, 16384, 17170, 23362, 19696, 16641, 22730, 18546, 22472, 16741, 17301, 16741, 16647, 17092, 16917, 16397, 20099, 16395, 16809, 19500, 20093, 16687, 16390, 16690, 18973, 16647, 23722, 16674, 16647, 54936, 33215, 19696, 16384, 27545, 16728, 16641, 16854, 16674, 17921, 16848, 17016, 16732, 17133, 16384, 17426, 16732, 22923, 16811, 17546, 16395, 18328, 22965, 16848, 16767, 16409, 19597, 16409, 16398, 16398, 18409, 16397, 21470, 57477, 16397, 17070, 16398, 50149, 16730, 42912, 18101, 45016, 16843, 22156, 16647, 20104, 26015, 16395, 17769, 16396, 27963, 19288, 16673, 16811, 17546, 16395, 16674, 17027, 18291, 16667, 26140, 20795, 16384, 49159, 16409, 16604, 16401, 16401, 16406, 16404, 16408, 16582, 16582, 51943, 16409, 17635, 16704, 16647, 33743, 17799, 16397, 32872, 16604, 16400, 16396, 16400, 16399, 16704, 18125, 16715, 21195, 16674, 20881, 48314, 16709, 16887, 19394, 57477, 16604, 16391, 21587, 19057, 16392, 19394, 57477, 16409, 20782, 16409, 16398, 16398, 18409, 16397, 21470, 57477, 16397, 17070, 16398, 16677, 34412, 31976, 33942, 16409, 20782, 16409, 16398, 16398, 18409, 16397, 16677, 34412, 31976, 16397, 17070, 16398, 17170, 16704, 16641, 17971, 16931, 17803, 16395, 44404, 16674, 28075, 16734, 16641, 27245, 16671, 24651, 16384, 17332, 17156, 16741, 16647, 16859, 18047, 23778, 36165, 16395, 16641, 18198, 19475, 19006, 16672, 16641, 17785, 19243, 16397, 30470, 16671, 34227, 23258, 16395, 16728, 19175, 16945, 16733, 16704, 21883, 16671, 16854, 16671, 19994, 17613, 16397, 19736, 21717, 18919, 16395, 16872, 16977, 20385, 16397, 17046, 17579, 18612, 16671, 16703, 16641, 31049, 16397, 17376, 17578, 17298, 16671, 17158, 32476, 16395, 16733, 16726, 49551, 19028, 16667, 17719, 17547, 16931, 16647, 19223, 16673, 16647, 18282, 16397, 18419, 16647, 17261, 16673, 17009, 26025, 19461, 16733, 16843, 17928, 16647, 18067, 16673, 16888, 17417, 16397, 17403, 17072, 16868, 16733, 16829, 16728, 16395, 16674, 17016, 16390, 16466, 16647, 18787, 16733, 16872, 16671, 17839, 16414, 49159, 16409, 16604, 16400, 16405, 16406, 16400, 16408, 16582, 16582, 17071, 16811, 26932, 17394, 16395, 16732, 16769, 19034, 65129, 16604, 16396, 16641, 31636, 37385, 16674, 38906, 16929, 16872, 19129, 17154, 16673, 16888, 18048, 16397, 19459, 17367, 19489, 16671, 20414, 19486, 16704, 16604, 16385, 32375, 16915, 16385, 16604, 16396, 16641, 20104, 31636, 16732, 16807, 20096, 16912, 17367, 57421, 16671, 21593, 16397, 17332, 21257, 16709, 16968, 16395, 16850, 17049, 16868, 17109, 16641, 17563, 16673, 30754, 19115, 16709, 16968, 17210, 16673, 21638, 16641, 18027, 18706, 31636, 16944, 16732, 16843, 19905, 16785, 18930, 16968, 18373, 16397, 17332, 16843, 16703, 19407, 16767, 18032, 16604, 16391, 16658, 16804, 16392, 16395, 16850, 16767, 16647, 17291, 16673, 16647, 17386, 16397, 16397, 16732, 17039, 16721, 34409, 17109, 29470, 16674, 18804, 16836, 16699, 16940, 16397, 46073, 16715, 16732, 16397, 16397, 16732, 17039, 16994, 17016, 16671, 16829, 16397, 19394, 57477, 16409, 21866, 16397, 21470, 57477, 16397, 17070, 16398, 27014, 19754, 20088, 21517, 16729, 49159, 16409, 16604, 16402, 16399, 16399, 16407, 16582, 16582, 16427, 16803, 16421, 39194, 16704, 16667, 22739, 16395, 19083, 18383, 17546, 16395, 17187, 16732, 27056, 20229, 16395, 27327, 17007, 16671, 18462, 20805, 16674, 17231, 17007, 16671, 18293, 25004, 16604, 16391, 16644, 18278, 16769, 33337, 18706, 24988, 16392, 16397, 32809, 18358, 16409, 16604, 16396, 26380, 21507, 16709, 18740, 16604, 16391, 20097, 21481, 16868, 17863, 16903, 16392, 16604, 16396, 27340, 16674, 27056, 16647, 18697, 16732, 16945, 16604, 16396, 45576, 18697, 16671, 20255, 16395, 18740, 16785, 22042, 16604, 16396, 25257, 16709, 16721, 18843, 16671, 20028, 20638, 18855, 16390, 16467, 21739, 16671, 18344, 16977, 23043, 16395, 17882, 18697, 17009, 20696, 16674, 18321, 27638, 16395, 16674, 17426, 16732, 16945, 16811, 17546, 16395, 19600, 18328, 22965, 18356, 16767, 17601, 57477, 16409, 19597, 16409, 16398, 16398, 18409, 16397, 21470, 57477, 16397, 17070, 16398, 17080, 17151, 39765, 20099, 16395, 16980, 16732, 16807, 36910, 19034, 16811, 17546, 18693, 16604, 16396, 16732, 16843, 16969, 17953, 50997, 16604, 16391, 18700, 17583, 16392, 19288, 16767, 17601, 57477, 16397, 49159, 16409, 16604, 16401, 16402, 16399, 16408, 16582, 16582, 28109, 16709, 16647, 18814, 16673, 16667, 17361, 23896, 31893, 24890, 17461, 17333, 40887, 16741, 17049, 19353, 19423, 16672, 22460, 16673, 17174, 16674, 54995, 31812, 17437, 18387, 16671, 16829, 16968, 17980, 16397, 19833, 17578, 17092, 16409, 21380, 16732, 16671, 16858, 16647, 22263, 16929, 16807, 18904, 35439, 20095, 16848, 16671, 17231, 16914, 61241, 16672, 16811, 17913, 16384, 21716, 21507, 16647, 21636, 22728, 17494, 16672, 16647, 17546, 16674, 18344, 16891, 16914, 26945, 22177, 16477, 16772, 18267, 16715, 16647, 17546, 25438, 16673, 16811, 47884, 17953, 19458, 16409, 20782, 16409, 16398, 16398, 47092, 32519, 16397, 17070, 16398, 16697, 16453, 16680, 16730, 16675, 16398, 25538, 17294, 40270, 24968, 19194, 16809, 16409, 20782, 16409, 16398, 16398, 18409, 16397, 45675, 18245, 23818, 16397, 20133, 16398, 20855, 16398, 16844, 17787, 16473, 19983, 21031, 16398, 19600, 18344, 17107, 16891, 16741, 17204, 16477, 57930, 16687, 16390, 16451, 16945, 16671, 17882, 16641, 18321, 20788, 16671, 35607, 16642, 16674, 20761, 16715, 21577, 16848, 16734, 16641, 18064, 16673, 28263, 22267, 16661, 16397, 17999, 18594, 16929, 19296, 16848, 23883, 16709, 16647, 28257, 16397, 17170, 17546, 16961, 16804, 18622, 16741, 16728, 16704, 17178, 17714, 16912, 20820, 16397, 17294, 16671, 18594, 16929, 17723, 16848, 17231, 16914, 20229, 16672, 16887, 17546, 16395, 16732, 17039, 16929, 16732, 16769, 16409, 16402, 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, 19139, 19181, 16687, 17366, 16641, 18623, 26514, 16715, 16647, 17546, 16409, 20782, 16409, 16398, 16398, 32283, 16397, 25034, 16397, 17070, 16398, 26341, 16398, 16451, 16398, 16400, 16404, 16471, 16399, 16440, 57090, 16399, 16430, 16432, 16452, 20489, 16435, 52545, 16471, 16473, 16429, 16446, 16465, 21610, 16408, 16407, 16466, 16404, 16407, 16460, 16473, 16440, 16459, 16426, 16400, 19806, 16401, 16436, 16457, 16423, 16450, 16400, 24439, 16398, 27305, 29325, 16647, 17539, 16673, 16647, 17092, 20531, 16785, 16859, 24739, 16671, 16647, 22309, 16687, 16807, 19728, 16671, 17280, 16903, 16641, 19394, 57477, 16409, 20782, 16409, 16398, 16398, 18409, 16397, 21470, 57477, 16397, 17070, 16398, 28028, 41524, 44900, 17294, 16641, 50997, 19288, 16409, 20782, 16409, 16398, 16398, 25810, 16397, 48922, 16398, 16386, 16384, 16427, 16438, 24011, 16416, 16432, 16472, 16425, 16384, 16461, 42717, 16399, 16441, 16434, 16457, 38363, 16470, 27616, 50536, 18189, 16455, 20649, 23403, 16427, 16432, 16431, 16400, 16463, 50866, 16470, 16407, 16464, 16404, 16431, 16449, 16431, 16403, 16460, 16441, 16468, 16426, 27078, 49159, 16409, 16604, 16407, 16402, 16408, 16400, 16582, 16582, 32749, 21609, 16747, 17160, 16674, 17517, 16735, 17350, 19611, 16396, 16448, 16396, 24962, 17546, 16397, 16772, 20248, 16673, 16647, 17546, 16769, 17238, 32790, 16397, 23890, 16647, 26438, 16709, 16647, 29908, 16671, 19611, 26320, 16674, 19770, 16396, 17357, 17080, 16665, 56302, 16397, 34896, 17072, 17049, 16685, 20846, 16912, 20728, 16824, 23380, 16396, 26357, 22487, 16674, 21846, 16734, 17703, 16664, 19316, 16397, 30389, 16968, 16672, 16647, 22418, 18015, 16732, 23326, 17020, 18967, 17065, 16968, 19431, 18492, 32047, 16397, 18916, 16721, 16395, 37035, 22282, 56302, 16672, 16968, 27586, 16396, 16466, 17750, 23430, 16661, 16674, 51272, 33069, 16397, 30389, 16968, 17030, 16674, 17030, 17244, 18015, 17049, 30864, 16641, 19705, 61387, 16397, 19488, 19611, 16968, 16672, 16647, 29285, 20697, 16397, 56302, 49829, 16672, 57665, 16674, 21077, 26127, 17014, 16641, 20728, 16824, 23380, 16396, 26357, 22487, 19843, 17421, 16968, 27586, 16396, 16466, 17750, 23430, 16661, 16918, 16710, 16672, 18519, 16397, 36680, 56302, 24999, 19431, 27429, 36659, 16715, 16708, 16397, 17465, 16980, 16732, 16390, 16644, 20008, 16671, 16829, 16728, 16395, 17177, 17723, 16390, 16466, 37035, 19034, 16767, 16811, 17005, 16397, 49159, 16409, 16604, 16407, 16407, 16405, 16402, 16582, 16582, 41309, 16384, 16687, 16390, 16460, 16641, 16733, 22820, 18017, 21636, 16674, 16687, 16390, 16460, 18055, 16709, 16641, 17009, 16604, 16385, 21196, 17370, 16396, 27919, 16385, 17546, 16397, 16999, 16390, 16466, 17092, 20174, 16673, 32885, 16674, 17467, 16397, 29445, 16715, 23446, 16409, 16392, 21465, 20017, 19029, 17014, 16732, 21507, 16709, 25219, 17402, 18482, 16397, 17958, 18541, 16674, 24713, 16868, 16703, 19807, 17348, 20782, 16409, 16398, 16398, 18409, 16397, 21470, 57477, 16397, 17070, 16398, 18929, 34234, 24244, 49159, 16409, 16604, 16401, 16405, 16403, 16408, 16399, 16582, 16582, 16433, 16656, 16784, 17169, 26183, 16704, 16667, 22739, 17546, 16931, 38173, 16674, 16968, 21961, 16671, 18222, 16641, 20426, 18697, 16674, 16604, 16391, 64158, 16392, 17839, 16647, 22959, 16397, 38173, 16604, 16396, 16785, 17511, 28770, 16395, 16980, 16732, 20569, 16604, 16396, 16868, 17298, 16741, 16641, 18940, 35525, 18697, 16674, 16734, 16912, 17261, 16395, 17049, 16390, 16683, 18222, 16641, 18159, 19830, 16673, 16647, 29197, 18797, 16384, 21716, 16395, 18328, 22965, 16647, 17546, 16709, 19394, 57477, 16397, 16409, 16392, 19020, 16409, 16398, 16398, 18409, 16397, 21470, 57477, 16397, 17070, 16398, 16433, 16656, 17750, 59616, 49159, 16409, 16604, 16407, 16401, 16407, 16582, 16582, 16393, 40136, 16409, 19141, 16673, 21300, 18145, 16776, 16399, 16397, 16401, 16397, 16403, 16704, 17178, 18125, 16709, 19394, 57477, 16397, 59096, 52065, 16776, 16399, 16397, 16401, 16397, 16403, 16409, 20782, 16409, 16398, 16398, 18409, 16397, 21470 ]
[ 0, 16582, 16402, 16406, 16403, 17465, 16397, 16401, 16451, 16604, 16408, 16401, 16408, 16604, 16391, 16400, 16408, 16406, 16408, 16392, 16582, 34869, 16796, 21162, 58625, 16582, 16469, 16397, 16582, 46466, 16397, 16582, 16403, 21941, 16397, 16604, 16405, 16407, 16404, 16397, 16582, 50558, 16673, 34549, 39967, 16673, 28529, 16397, 16582, 29414, 16604, 16401, 16406, 16395, 16604, 16400, 16408, 16406, 16408, 16397, 16582, 17506, 16643, 18191, 22038, 17245, 18932, 16604, 16400, 16406, 16395, 16604, 16400, 16408, 16406, 16408, 16397, 16582, 16393, 16408, 16402, 16399, 19824, 16719, 16397, 26586, 16472, 16395, 36950, 17004, 16395, 16715, 57254, 16397, 16582, 34825, 16832, 16397, 52398, 17949, 16395, 18073, 17098, 16397, 22226, 16397, 16395, 16674, 55102, 16790, 16397, 16966, 17099, 16395, 17376, 16684, 16397, 18073, 17098, 16397, 22226, 16397, 16395, 16715, 16647, 18490, 16395, 16984, 22126, 16452, 16397, 16582, 18732, 40200, 16727, 16397, 27087, 33136, 16395, 20452, 17597, 32638, 27735, 16397, 16582, 20323, 17182, 16795, 16763, 57568, 16715, 22934, 16672, 16647, 17092, 20157, 16673, 16604, 16385, 20574, 18250, 16727, 16397, 21906, 17288, 16461, 27524, 16395, 16809, 58147, 16968, 16734, 16641, 29753, 16785, 16977, 25669, 23963, 16397, 16385, 16711, 28413, 17494, 17107, 25057, 16673, 22934, 16672, 16647, 17092, 20157, 16741, 23057, 16674, 22184, 16888, 30542, 16767, 17417, 43220, 16397, 17046, 16763, 33876, 34414, 16397, 16582, 20323, 17182, 16795, 17242, 41372, 16741, 16647, 17097, 18710, 16709, 23656, 16409, 16582, 16385, 33191, 16785, 16804, 23454, 19591, 16763, 20905, 16671, 22154, 16647, 37730, 16673, 17092, 20157, 22934, 16397, 16385, 16582, 17507, 16807, 17028, 21295, 16721, 16986, 16763, 16660, 16993, 19559, 19591, 16721, 16647, 23215, 20978, 16763, 56994, 60732, 16395, 16672, 16647, 22305, 23057, 16672, 16647, 47101, 16395, 16809, 16991, 29787, 16806, 16395, 16674, 16721, 16647, 49557, 16763, 22934, 16672, 16647, 17092, 20157, 16397, 16772, 17097, 16946, 16689, 34144, 18710, 16709, 16647, 21459, 16763, 18515, 30212, 16396, 17550, 17182, 16795, 22486, 16647, 49557, 16397, 16582, 16853, 18156, 26078, 16395, 16674, 18546, 16752, 18949, 18444, 18937, 16395, 16721, 16986, 16763, 17028, 62120, 21171, 16671, 16647, 49557, 16977, 17032, 16647, 20978, 16674, 16968, 49961, 16391, 16466, 16392, 16410, 16721, 16873, 16958, 16647, 17097, 23936, 16672, 16647, 24853, 16673, 16647, 20978, 16767, 19139, 20720, 61943, 16395, 36950, 17004, 16395, 17014, 17049, 16763, 20535, 16395, 17415, 16604, 16400, 16400, 16409, 16399, 16399, 16739, 16397, 16428, 16397, 16674, 33638, 16709, 18932, 16604, 16400, 16400, 16395, 16604, 16400, 16408, 16406, 16407, 16397, 19079, 18554, 25901, 16815, 19705, 36691, 35992, 16672, 19001, 20049, 16673, 16968, 18370, 16395, 16815, 18801, 16671, 17141, 16674, 16815, 17693, 16671, 20510, 16397, 17513, 16958, 16859, 24730, 16674, 22652, 16721, 16647, 29397, 16929, 28152, 16968, 18370, 16763, 23750, 16671, 17679, 17007, 16397, 17046, 49417, 17007, 16672, 16641, 23289, 16673, 17007, 16672, 16888, 30013, 16741, 19628, 16809, 18817, 18293, 22177, 16673, 16647, 18156, 16397, 17673, 17049, 16763, 19357, 17329, 16785, 20629, 17135, 16647, 26829, 16673, 16647, 58147, 16673, 16968, 16395, 16986, 16843, 26431, 16703, 16998, 21295, 16397, 19079, 18370, 16763, 16804, 22603, 18015, 19164, 16672, 16647, 23154, 16709, 18932, 16604, 16400, 16401, 16395, 16604, 16400, 16408, 16406, 16407, 16395, 17135, 38522, 24853, 36756, 16756, 16955, 18222, 22252, 16931, 16968, 16395, 16917, 16673, 17007, 32349, 16721, 16968, 41152, 16763, 16767, 17073, 44955, 17617, 16767, 16647, 24853, 16395, 16721, 17049, 16763, 29733, 16671, 16703, 18215, 16395, 16721, 16968, 24853, 16763, 27640, 16674, 16721, 20849, 16671, 16969, 16968, 16671, 16647, 19783, 16958, 61207, 16397, 18483, 16673, 17007, 18047, 16667, 21871, 16674, 18977, 39545, 16641, 17679, 16673, 17007, 22841, 16397, 16582, 45247, 27797, 16673, 16647, 22345, 16395, 16641, 21461, 18474, 16763, 21715, 16395, 16674, 28065, 16968, 24853, 16763, 23373, 16809, 16917, 16673, 16647, 22345, 16395, 16929, 17494, 16968, 18370, 16672, 16647, 23727, 16781, 16910, 16397, 17046, 39889, 30316, 16647, 20795, 16674, 18630, 16715, 16667, 44155, 16673, 16647, 22361, 19542, 16673, 36950, 17004, 16395, 16604, 16393, 16408, 16402, 16400, 16929, 18977, 22841, 16410, 16733, 19513, 16767, 16647, 18370, 16672, 16647, 23727, 16781, 16910, 16395, 16674, 17177, 21852, 16641, 17567, 16396, 18673, 16396, 17082, 17486, 16672, 16647, 29428, 16673, 16647, 24853, 16397, 17046, 17177, 18047, 16647, 24723, 16646, 16674, 26168, 16815, 16647, 22045, 29105, 16674, 30316, 16647, 18843, 16715, 16641, 26124, 16674, 23874, 16709, 16396, 17347, 16396, 47639, 19011, 22605, 22012, 16809, 21877, 26168, 16395, 16944, 16763, 17327, 16699, 49489, 20888, 16395, 24959, 16715, 16931, 17142, 18626, 16767, 16647, 20795, 16397, 28655, 23375, 16958, 21715, 16395, 52612, 41749, 16466, 16958, 29068, 16395, 22652, 28629, 16958, 18711, 16395, 23375, 16673, 20636, 16958, 27370, 16815, 16647, 24853, 16674, 16977, 19902, 20696, 16673, 19591, 16958, 18711, 17065, 30940, 16397, 16582, 16853, 20978, 16390, 16466, 18370, 16672, 16647, 23727, 16781, 16910, 16763, 26490, 16709, 17073, 17141, 16397, 17958, 16850, 16647, 18492, 16763, 21900, 16734, 32730, 16674, 16977, 19492, 17017, 16815, 16968, 19741, 16397, 33269, 27489, 16673, 16647, 19741, 19492, 17017, 16395, 16968, 18370, 16763, 19765, 48497, 16397, 17664, 16763, 17028, 17969, 16672, 16647, 23727, 16781, 16910, 16410, 16647, 30698, 30312, 16763, 21109, 16397, 16772, 21100, 16673, 16647, 28718, 16763, 22269, 16395, 16850, 16647, 35366, 16785, 30777, 16672, 16647, 23710, 16763, 56350, 16734, 17969, 16395, 16674, 16647, 35366, 16785, 16792, 28733, 16672, 16647, 20978, 16390, 16466, 29428, 16674, 16672, 16647, 17486, 16390, 16466, 29428, 16958, 25364, 16397, 16711, 17709, 17366, 16809, 16667, 21871, 20332, 16721, 17969, 16815, 16647, 44620, 16661, 23727, 16781, 16910, 16961, 17535, 17065, 32756, 16673, 16647, 21100, 16673, 16647, 24853, 16721, 16958, 25364, 16397, 16582, 44630, 16684, 18025, 16958, 17494, 16767, 18295, 20276, 16672, 16647, 24853, 16395, 17789, 16647, 53346, 16674, 16647, 19855, 42976, 16673, 20978, 16390, 16466, 19741, 16395, 16647, 21100, 16395, 24231, 16395, 55384, 16395, 16674, 16709, 16647, 19067, 22010, 16673, 16647, 19783, 16671, 16647, 24853, 16397, 16582, 16853, 30077, 16672, 16647, 29428, 21737, 16671, 16703, 16792, 16890, 35314, 16397, 16772, 19006, 18392, 21737, 16671, 16703, 19732, 16397, 17664, 16958, 16664, 16881, 26379, 16709, 16647, 19067, 16673, 16641, 21481, 16671, 16647, 24853, 16397, 16582, 16853, 19591, 16395, 31291, 16673, 16647, 30013, 16673, 23993, 16396, 44973, 32410, 16674, 22652, 36522, 16395, 16704, 18546, 16395, 16980, 16804, 22576, 16395, 17953, 16673, 26253, 23201, 16397, 46246, 16659, 16715, 16647, 18490, 17123, 16703, 49417, 16409, 16582, 16391, 16400, 16392, 22830, 17709, 20681, 16741, 16671, 19572, 16673, 30212, 17437, 16767, 19139, 20720, 61943, 16709, 19986, 16395, 18932, 16604, 16408, 16395, 16604, 16400, 16408, 16406, 16407, 16395, 16582, 16391, 16401, 16392, 22830, 17709, 20681, 16741, 16671, 16888, 19572, 16767, 19139, 20720, 61943, 16647, 18097, 16673, 16647, 22934, 16395, 18932, 16604, 16400, 16400, 16395, 16604, 16400, 16408, 16406, 16407, 16395, 16582, 16391, 16402, 16392, 16711, 17589, 16929, 19241, 47261, 16672, 16647, 20978, 16390, 16466, 24853, 17415, 16604, 16400, 16400, 16409, 16399, 16399, 16739, 16397, 16428, 16397, 16674, 33638, 16395, 18932, 16604, 16400, 16400, 16395, 16582, 16391, 16403, 16392, 41925, 16674, 20362, 32410, 16741, 16671, 16647, 20249, 16674, 28565, 16673, 16647, 20978, 16390, 16466, 24853, 16767, 16647, 17005, 16968, 18370, 16763, 22603, 42553, 16672, 16647, 19164, 23154, 16673, 18932, 16604, 16400, 16401, 16395, 16582, 16391, 16404, 16392, 46246, 16659, 16395, 63354, 21381, 32410, 16395, 16741, 16671, 16604, 16391, 16448, 16392, 16647, 20249, 16673, 16647, 50469, 16395, 16604, 16391, 16449, 16392, 41749, 16466, 16395, 16604, 16391, 16450, 16392, 23375, 16673, 19546, 17494, 16672, 16647, 20978, 16390, 16466, 24853, 16395, 16604, 16391, 16451, 16392, 23375, 16673, 20636, 16815, 20978, 16390, 16466, 24853, 16395, 16604, 16391, 16452, 16392, 17016, 16763, 22130, 16809, 16641, 19514, 16673, 30212, 16674, 16888, 17616, 16395, 16604, 16391, 16453, 16392, 23439, 17366, 16809, 30212, 17135, 16647, 22934, 16674, 16604, 16391, 16454, 16392, 17016, 16763, 17494, 16672, 30212, 16390, 16466, 41152, 16721, 16733, 16763, 21226, 16647, 18097, 16673, 16647, 22934, 16397, 16582, 64180, 16709, 25751, 16673, 30212, 36290, 16673, 30212, 16390, 16466, 17304, 30013, 16741, 16671, 16888, 19572, 16709, 19986, 16395, 18932, 16604, 16408, 16395, 16674, 16709, 16647, 18097, 16673, 16647, 22934, 16674, 16647, 30013, 16673, 16888, 19778, 16395, 16944, 54134, 16665, 63354, 16671, 16888, 19572, 19421, 16671, 16888, 17395, 16671, 16647, 19139, 20720, 61943, 16709, 18932, 16604, 16400, 16400, 16674, 16888, 17911, 16671, 16914, 17616, 17135, 33638, 16673, 16647, 18097, 16673, 16647, 22934, 16397, 16582, 21184, 16673, 16647, 32410, 16715, 16647, 18490, 16929, 41190, 16741, 16671, 16647, 21057, 16674, 19572, 16673, 30212, 16767, 16647, 19139, 20720, 61943, 16709, 19986, 16395, 18932, 16604, 16408, 16395, 16604, 16400, 16408, 16406, 16407, 16395, 17031, 16873, 18831, 17107, 16767, 16647, 49962, 16734, 16888, 18198, 19008, 19986, 19571, 16410, 16721, 16986, 16763, 16641, 16604, 16385, 17435, 16847, 16833, 16385, 19107, 16721, 23154, 16674, 16721, 30212, 16674, 16888, 19008, 16674, 16647, 20978, 16674, 16968, 20803, 16395, 16647, 17486, 16929, 16763, 16672, 16647, 20978, 16390, 16466, 24853, 16647, 18097, 16673, 16647, 22934, 16395, 16958, 16767, 16647, 19107, 16410, 16721, 30212, 19277, 16734, 24356, 16397, 21906, 17288, 16461, 27524, 16390, 16466, 17486, 16395, 16674, 16672, 30461, 16673, 16991, 16767, 16647, 19107, 16741, 16671, 24356, 16397, 21906, 17288, 16461, 27524, 16397, 17664, 16763, 16991, 19591, 16721, 16733, 27482, 16671, 16752, 19665, 16734, 24356, 16397, 21906, 17288, 16461, 27524, 16850, 16721, 17049, 17132, 16804, 17966, 16734, 17107, 16397, 27912, 21779, 45097, 16717, 16395, 16673, 16647, 18303, 18644, 23200, 16395, 16641, 17746, 16673, 57254, 16604, 16391, 16448, 26483, 21871, 16673, 16647, 23200, 16392, 16955, 16667, 24853, 16767, 16647, 19139, 20720, 61943, 16397, 56176, 16763, 25049, 27912, 45097, 16717, 16709, 19986, 16395, 18932, 16604, 16408, 16397, 16582, 22223, 16671, 30212, 16390, 16466, 30013, 16395, 16733, 16763, 24850, 16809, 27912, 45097, 16717, 16671, 18784, 16715, 16647, 23214, 16833, 19164, 16721, 23154, 16397, 16582, 16393, 16408, 16402, 16401, 59167, 16795, 21506, 16671, 16647, 24853, 19680, 16709, 16647, 21938, 16673, 18932, 16604, 16400, 16400, 16397, 17376, 17240, 16673, 16647, 30013, 16704, 25646, 42493, 16741, 16671, 48455, 17781, 16665, 23528, 16395, 17028, 19443, 16868, 16703, 17366, 16671, 18343, 17356, 16647, 30013, 16673, 16858, 16673, 16647, 18403, 32410, 16785, 16671, 17830, 16858, 16673, 17007, 16397, 16582, 37189, 16397, 18850, 28979, 17478, 16395, 16929, 16955, 18215, 57254, 16672, 16647, 49962, 16709, 19986, 23154, 16395, 41190, 17027, 16721, 16741, 17049, 16763, 16819, 38243, 50243, 16815, 16968, 41152, 16709, 16647, 18097, 16673, 16647, 22934, 16395, 57254, 29953, 16968, 16395, 22690, 16903, 16641, 22798, 16673, 50243, 16674, 22039, 16721, 16733, 16961, 17261, 16968, 17391, 17007, 16903, 16647, 33228, 16397, 17614, 17031, 16395, 16582, 16385, 16424, 18151, 17107, 16721, 16763, 16858, 17262, 16395, 16721, 16687, 17120, 16969, 17007, 16674, 16733, 17031, 16395, 16604, 16447, 21539, 16395, 16687, 17967, 17072, 16728, 16704, 16397, 16999, 16390, 16466, 27763, 17747, 16671, 22201, 17968, 19958, 16395, 18405, 16390, 16467, 16728, 16414, 16390, 16674, 16687, 18151, 17107, 16721, 16687, 18833, 16390, 16467, 19958, 16397, 16582, 16385, 16397, 16604, 16397, 16604, 16397, 16582, 16385, 16424, 18200, 16647, 50243, 16672, 16647, 18287, 16674, 16733, 16994, 18112, 16672, 16734, 16641, 46267, 16673, 50243, 16674, 17646, 17007, 17285, 16674, 49211, 16582, 16385, 16397, 16604, 16397, 16604, 16397, 16582, 16385, 17611, 16763, 19699, 16671, 16848, 16674, 16687, 16843, 16390, 16467, 19210, 17016, 16733, 16763, 18884, 16395, 17172, 16687, 16763, 16672, 16641, 41860, 16674, 18387, 16671, 16969, 23423, 20008, 17329, 35419, 16604, 16442, 16761, 20717, 16444, 18112, 17616, 16397, 16687, 16763, 16641, 17589, 19109, 19164, 16395, 16674, 49211, 16887, 17687, 18697, 18668, 16968, 25616, 16397, 17614, 16994, 18112, 16891, 16673, 16647, 28718, 16395, 16674, 16687, 24382, 16390, 16467, 17646, 16903, 35419, 16390, 16466, 17578, 16395, 16674, 17049, 17497, 16641, 52886, 34095, 16674, 18668, 16968, 25616, 16734, 16728, 16395, 16674, 16733, 22690, 16968, 16903, 16674, 18200, 16968, 16672, 16647, 28718, 16674, 22184, 16728, 16903, 16397, 19488, 16733, 16763, 16994, 19699, 16671, 16968, 16674, 16687, 16763, 21791, 17915, 16887, 50243, 16674, 19341, 16395, 16674, 16641, 17437, 18242, 35419, 18112, 16672, 16397, 16385, 16582, 37189, 16397, 28979, 17478, 18613, 41190, 16721, 17437, 30212, 16763, 16672, 16647, 24853, 16674, 17329, 16968, 20717, 21506, 16395, 17049, 16763, 17395, 16604, 16385, 18252, 16674, 23330, 18119, 17578, 16891, 16673, 16647, 17378, 16674, 18387, 16671, 16969, 23423, 20008, 16385, 16674, 16721, 17049, 22929, 30212, 24552, 16641, 26776, 16673, 24570, 16397, 17614, 17031, 16721, 17014, 16968, 20717, 22841, 16395, 16641, 17746, 16395, 22785, 31661, 16395, 16763, 16734, 17107, 16674, 16721, 30212, 23622, 16767, 16647, 24853, 16674, 19416, 17285, 16674, 23694, 16734, 18667, 16397, 28979, 17478, 16674, 22785, 31661, 16397, 17614, 17132, 16804, 18784, 16734, 16647, 17567, 18102, 16850, 18167, 17065, 16647, 29428, 16397, 16582, 20955, 16647, 19783, 16673, 16647, 29428, 16763, 21109, 16395, 17049, 19241, 16968, 20717, 17335, 16395, 16604, 16385, 20574, 16390, 16467, 16854, 16672, 16986, 16395, 17172, 16887, 19778, 16704, 27559, 16647, 20915, 16395, 16385, 16674, 17014, 17049, 19241, 17107, 17335, 16721, 17049, 16604, 16385, 19676, 23150, 16887, 17364, 17455, 17285, 16674, 25246, 16647, 20915, 17285, 16395, 16674, 16733, 18112, 16672, 16986, 16674, 17646, 16888, 20775, 17473 ]
[ 0, 31763, 23824, 50095, 16604, 16474, 16386, 19810, 16400, 16476, 16582, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16582, 16582, 18264, 18723, 21515, 16671, 16647, 20071, 28758, 16395, 17134, 16409, 53969, 16604, 16393, 16688, 16813, 16397, 16393, 16604, 16391, 16401, 16399, 16400, 16399, 16442, 16415, 18979, 16405, 16444, 16392, 16397, 17544, 19359, 23820, 16395, 17134, 16409, 53969, 16604, 16393, 16688, 16813, 16397, 16393, 16604, 16391, 16401, 16399, 16400, 16399, 16442, 16415, 18979, 16405, 16444, 16395, 16604, 16401, 16399, 16400, 16400, 16442, 16415, 18979, 16404, 16444, 16392, 16410, 21984, 17067, 18302, 16604, 16393, 16688, 16813, 16397, 16393, 16604, 16391, 16401, 16399, 16399, 16405, 16442, 16415, 18979, 16406, 16444, 16392, 16397, 16582, 16582, 33962, 30248, 50095, 16604, 16474, 16386, 19810, 16401, 16476, 16582, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16582, 16582, 16604, 16474, 16386, 19810, 16401, 16397, 16400, 16476, 16582, 16582, 16386, 16386, 16386, 37605, 17586, 50095, 16604, 16474, 16386, 19810, 16401, 16397, 16400, 16397, 16400, 16476, 16582, 16582, 16418, 16477, 16400, 16399, 16477, 16423, 16477, 16400, 16399, 16477, 16429, 16477, 16403, 16477, 16393, 16428, 16393, 16604, 16393, 16477, 16465, 16477, 16393, 16604, 16412, 16604, 16400, 16407, 16405, 16397, 16401, 19701, 60196, 16455, 19797, 16675, 16395, 16393, 16448, 16393, 16604, 16412, 16604, 16406, 16397, 16405, 16403, 16399, 16403, 16604, 16391, 16402, 16392, 53463, 16393, 16449, 16393, 16604, 16412, 16604, 16400, 16404, 16397, 16400, 16406, 16399, 16402, 16604, 16391, 16406, 16392, 53463, 16393, 16450, 16393, 16604, 16412, 16604, 16400, 16404, 16397, 16408, 16400, 16405, 16407, 16604, 16391, 16406, 16392, 53463, 16393, 16437, 16393, 16604, 16412, 16604, 16400, 16407, 16403, 16403, 16397, 16407, 16406, 16604, 16391, 16400, 16403, 16392, 53463, 16445, 16402, 16445, 16393, 16441, 16393, 16604, 16412, 16604, 16407, 47299, 16604, 16393, 16426, 16393, 19766, 26993, 23944, 16604, 16412, 16604, 16399, 16397, 16405, 16408, 25737, 16445, 25296, 16400, 16445, 16393, 16435, 16393, 16604, 16412, 16604, 16400, 16401, 16399, 16908, 16399, 16397, 16400, 16406, 32317, 16604, 16399, 16397, 16400, 16404, 32317, 16604, 16399, 16397, 16400, 16399, 25737, 16582, 16582, 16386, 16386, 16386, 22046, 20555, 50095, 16604, 16474, 16386, 19810, 16401, 16397, 16400, 16397, 16401, 16476, 16582, 16582, 21926, 16724, 16682, 18126, 18336, 60641, 16604, 16391, 64368, 16395, 59253, 30792, 16392, 24748, 17297, 30247, 34560, 55155, 32263, 16409, 22399, 16396, 42098, 16604, 16391, 16393, 16418, 36406, 18342, 16656, 48285, 16393, 16410, 19088, 16724, 16682, 16395, 16604, 16401, 16399, 16400, 16401, 16442, 16415, 18979, 16400, 16444, 16392, 16604, 16393, 16435, 16393, 16604, 16477, 17784, 16477, 16604, 16412, 16604, 16399, 16397, 16405, 16407, 16395, 16604, 16393, 16435, 16393, 16604, 16477, 22323, 16477, 16604, 16412, 16604, 16400, 16408, 16407, 16408, 16402, 23975, 46914, 16400, 16405, 16403, 16400, 21191, 46914, 16400, 16402, 16404, 16408, 46914, 16734, 16604, 16393, 16424, 16393, 16604, 16443, 16413, 16604, 16402, 22023, 16391, 16393, 16424, 16393, 16392, 16393, 16433, 16393, 16604, 16477, 16974, 16477, 16604, 16412, 16604, 16399, 16397, 16399, 16405, 16400, 16582, 16582, 16386, 16386, 16386, 17143, 22703, 17351, 50095, 16604, 16474, 16386, 19810, 16401, 16397, 16400, 16397, 16402, 16476, 16582, 16582, 16393, 16433, 16393, 16443, 16442, 16393, 16421, 16393, 16604, 16445, 16401, 16445, 16604, 16443, 16413, 16604, 16401, 22023, 16391, 16393, 16421, 16393, 16604, 16445, 16401, 16445, 16392, 16443, 16444, 16604, 16412, 16604, 16399, 16397, 16399, 16402, 16408, 16393, 16470, 16433, 16393, 16391, 16393, 16421, 16393, 16604, 16445, 16401, 16445, 16392, 16604, 16412, 16604, 16399, 16397, 16400, 16399, 16403, 16393, 16434, 16393, 16604, 16412, 16604, 16400, 16397, 16404, 16404, 16400, 16405, 16403, 16400, 46914, 16400, 16402, 16402, 23239, 16423, 35920, 22140, 16809, 16641, 28262, 16673, 21191, 16674, 48339, 60052, 47129, 21735, 16477, 22323, 16477, 16604, 16412, 16604, 16399, 16397, 16400, 16405, 16693, 53463, 16445, 25296, 16402, 16445, 47129, 21735, 16477, 17784, 16477, 16604, 16412, 31949, 16399, 16397, 16401, 16399, 16693, 53463, 16445, 25296, 16402, 16445, 16582, 16582, 16604, 16474, 16386, 16451, 16404, 16452, 16403, 16403, 16408, 16476, 16582, 16582, 19862, 20555, 16409, 16604, 16393, 16418, 36406, 18342, 16656, 48285, 16393, 16604, 16391, 21926, 16724, 16682, 16395, 16604, 16401, 16399, 16400, 16401, 16442, 16415, 18979, 16400, 16444, 16392, 16410, 18155, 60052, 16409, 16604, 16393, 16418, 36406, 18342, 16656, 48285, 16393, 16410, 17586, 23789, 16409, 16604, 16393, 16418, 36406, 18342, 16656, 48285, 16393, 16410, 17632, 16391, 16466, 16392, 17405, 16671, 24651, 20189, 16409, 16604, 16393, 22173, 32562, 21219, 20337, 16393, 16604, 16391, 29122, 21990, 16730, 16604, 16389, 27930, 38503, 16395, 16604, 16401, 16399, 16399, 16406, 16442, 16415, 18979, 16402, 16444, 16392, 16410, 17632, 16391, 16466, 16392, 17405, 16671, 54796, 20189, 16409, 16604, 16393, 16425, 48665, 16401, 16399, 16399, 16405, 16393, 16604, 16391, 39314, 27905, 57526, 16604, 16393, 16688, 16813, 16397, 16393, 16395, 16604, 16401, 16399, 16399, 16405, 16442, 16415, 18979, 16403, 16444, 16392, 16410, 27732, 29342, 16409, 16604, 16393, 32451, 18759, 35800, 16393, 16604, 16391, 54368, 44169, 16604, 16389, 24587, 16473, 16395, 16604, 16401, 16399, 16399, 16404, 16442, 16415, 18979, 16401, 16444, 16392, 16410, 20052, 17405, 16671, 24005, 18651, 16715, 25425, 16409, 16604, 16393, 16425, 48665, 16401, 16399, 16399, 16405, 16393, 16397, 16582, 16582, 48753, 29663, 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, 16386, 16386, 16386, 16386, 16386, 16386, 16604, 16582, 16582, 25257, 17348, 16715, 19642, 17586, 19471, 16397, 16582, 16582, 46501, 24749, 20189, 16409, 21998, 20438, 16775, 18441, 16391, 16466, 16392, 19364, 16395, 16687, 16397, 62816, 16409, 16604, 16442, 16400, 16399, 16397, 16400, 16400, 16399, 16406, 16398, 16434, 16400, 16405, 16399, 16399, 16404, 16402, 16405, 16407, 16400, 16401, 16399, 16403, 16406, 16404, 16402, 16407, 16398, 19910, 16405, 16407, 16405, 16405, 30384, 16400, 16397, 16450, 16736, 16444, 16391, 19020, 16409, 16398, 16398, 35208, 16397, 38943, 16397, 18431, 16398, 16400, 16399, 16397, 16400, 16400, 16399, 16406, 16398, 16434, 16400, 16405, 16399, 16399, 16404, 16402, 16405, 16407, 16400, 16401, 16399, 16403, 16406, 16404, 16402, 16407, 16398, 19910, 16405, 16407, 16405, 16405, 30384, 16400, 16397, 16450, 16736, 16392, 16582, 16582, 16386, 16386, 16386, 16386, 16386, 16386, 16604, 16582, 16582, 25257, 17348, 16715, 19642, 17586, 19471, 16397, 16582, 16582, 55503, 20671, 16409, 21998, 20438, 16775, 18441, 16391, 16466, 16392, 16687, 16397, 62816, 16409, 16604, 16442, 16400, 16399, 16397, 16400, 16400, 16399, 16406, 16398, 16434, 16400, 16405, 16399, 16399, 16404, 16402, 16405, 16407, 16400, 16401, 16399, 16403, 16406, 16404, 16402, 16407, 16398, 19910, 16405, 16407, 16405, 16405, 19068, 16825, 16401, 16397, 16455, 21598, 16444, 16391, 19020, 16409, 16398, 16398, 35208, 16397, 38943, 16397, 18431, 16398, 16400, 16399, 16397, 16400, 16400, 16399, 16406, 16398, 16434, 16400, 16405, 16399, 16399, 16404, 16402, 16405, 16407, 16400, 16401, 16399, 16403, 16406, 16404, 16402, 16407, 16398, 19910, 16405, 16407, 16405, 16405, 19068, 16825, 16401, 16397, 16455, 21598, 16392, 16582, 16582, 16386, 16386, 16386, 16386, 16386, 16386, 16604, 16582, 16582, 25257, 17348, 16715, 19642, 17586, 19471, 16397, 16582, 16582, 48753, 18651, 19471, 16397, 62816, 16409, 16604, 16442, 16400, 16399, 16397, 16400, 16400, 16399, 16406, 16398, 16434, 16400, 16405, 16399, 16399, 16404, 16402, 16405, 16407, 16400, 16401, 16399, 16403, 16406, 16404, 16402, 16407, 16398, 19910, 16405, 16407, 16405, 16405, 19068, 16825, 16402, 16397, 16450, 18953, 16444, 16391, 19020, 16409, 16398, 16398, 35208, 16397, 38943, 16397, 18431, 16398, 16400, 16399, 16397, 16400, 16400, 16399, 16406, 16398, 16434, 16400, 16405, 16399, 16399, 16404, 16402, 16405, 16407, 16400, 16401, 16399, 16403, 16406, 16404, 16402, 16407, 16398, 19910, 16405, 16407, 16405, 16405, 19068, 16825, 16402, 16397, 16450, 18953, 16392, 16582, 16582, 37208, 54418, 21024, 16409, 16604, 16442, 40599, 47025, 23040, 17624, 16444, 16391, 19020, 16409, 16398, 16398, 61334, 16397, 16456, 17495, 16465, 16397, 18431, 16398, 16450, 24120, 16396, 24144, 16398, 16466, 18631, 16825, 30516, 16414, 19910, 16405, 16407, 16405, 16405, 16389, 20142, 16412, 19910, 16405, 16407, 16405, 16405, 30384, 16399, 16397, 20813, 16389, 16460, 16902, 16412, 17888, 16398, 20813, 16392, 16410, 16604, 16442, 16402, 16419, 18058, 16444, 16391, 19020, 16409, 16398, 16398, 61334, 16397, 16456, 17495, 16465, 16397, 18431, 16398, 16450, 24120, 16396, 24144, 16398, 28157, 16450, 16736, 16414, 19910, 16405, 16407, 16405, 16405, 30384, 16400, 16389, 16432, 16460, 16902, 16412, 16450, 16736, 16392, 16410, 16604, 16442, 22267, 16418, 21520, 17556, 16444, 16391, 19020, 16409, 16398, 16398, 61334, 16397, 16456, 17495, 16465, 16397, 18431, 16398, 16450, 24120, 16396, 24144, 16398, 36221, 16414, 19910, 16405, 16407, 16405, 16405, 16389, 22267, 16450, 16736, 16412, 25019, 16392, 16582, 16582, 48753, 17586, 16674, 23300, 16715, 16811, 19420, 16769, 18125, 16815, 16647, 16687, 28423, 16465, 23510, 40774, 16604, 16391, 32457, 16409, 16604, 16442, 29484, 16405, 16407, 16405, 16405, 16444, 16391, 19020, 16409, 16398, 16398, 61334, 16397, 16456, 17495, 16465, 16397, 18431, 16398, 16450, 24120, 16396, 24144, 16398, 16466, 18631, 16825, 16414, 19910, 16405, 16407, 16405, 16405, 16392, 16392, 16397, 16582, 16582, 17507, 30335, 16647, 46080, 48228, 16774, 42278, 40691, 16395, 16702, 26953, 38985, 16701, 17526, 16604, 16391, 16419, 24676, 16392, 16774, 17126, 25856, 28325, 52763, 16774, 38167, 16395, 16715, 19144, 17564, 16673, 16811, 16985, 16395, 16741, 17204, 16647, 29415, 16746, 17997, 22132, 47122, 17913, 16673, 16647, 23339, 16673, 26651, 16673, 16647, 33383, 19882, 16397, 16790, 16425, 16396, 16396, 16396, 16418, 46724, 16647, 38080, 16646, 16644, 18397, 23278, 19915, 16705, 27291, 19136, 16774, 17126, 25856, 28325, 52763, 16774, 38167, 16715, 16641, 40487, 16397, 16582, 16582, 19543, 16582, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16582, 16582, 16853, 22570, 16673, 16604, 16393, 16429, 16393, 16445, 16400, 16445, 16395, 16393, 16429, 16393, 16445, 16401, 16445, 16396, 38464, 16391, 16391, 16400, 16393, 16423, 16393, 16396, 58384, 16701, 16755, 17317, 16723, 16396, 16400, 16396, 18161, 16392, 39101, 16392, 20379, 48581, 16396, 16400, 16395, 16401, 16396, 16451, 19143, 16856, 16734, 48020, 56272, 16870, 16672, 16759, 21332, 16430, 16767, 18392, 21452, 20067, 16647, 20071, 28758, 16672, 17362, 24998, 16397, 16772, 17142, 56272, 16680, 24648, 19318, 16769, 17490, 16604, 16393, 26104, 16393, 16734, 18577, 16671, 16647, 59653, 55304, 22999, 16395, 17028, 21295, 16672, 17970, 16671, 23244, 17361, 16460, 29495, 16793, 16396, 16396, 16396, 16423, 20686, 20686, 20686, 16429, 26459, 16397, 16875, 20524, 29495, 17045, 16856, 16396, 16928, 16396, 27957, 16674, 17045, 16856, 16396, 16928, 16396, 17288, 20280, 31055, 44052, 26459, 20916, 16604, 16443, 16385, 25181, 16896, 16396, 19064, 16443, 16385, 26965, 47641, 16672, 16647, 58352, 21173, 16604, 16391, 24001, 16397, 16604, 16401, 16392, 16397, 16582, 16582, 16853, 27732, 20189, 16674, 37924, 17679, 16661, 23950, 16715, 16647, 20071, 28758, 16769, 19628, 16672, 24502, 16397, 16604, 16400, 16397, 21656, 18126, 16396, 17864, 20189, 39332, 16647, 21057, 16673, 17371, 19448, 29495, 31055, 22106, 17415, 16647, 34226, 19318, 16604, 16443, 16442, 16429, 16396, 16396, 16423, 16395, 16604, 16401, 16397, 16403, 16401, 16405, 16604, 16391, 16400, 16407, 16392, 53463, 16443, 16444, 16397, 26713, 16647, 21852, 16719, 16402, 16396, 16396, 16396, 16429, 16400, 22106, 20570, 16604, 16443, 16442, 16400, 16397, 16403, 16402, 16404, 16406, 16604, 16391, 16400, 16406, 16392, 53463, 16443, 16444, 16704, 34080, 63309, 16672, 24511, 16671, 19359, 23820, 16604, 16443, 16442, 16400, 16397, 16403, 16399, 16403, 16604, 16391, 16402, 16392, 53463, 16443, 16444, 16604, 16391, 52660, 16448, 16604, 16393, 16688, 16813, 16397, 16393, 16395, 16604, 16401, 16399, 16400, 16399, 16392, 16395, 16604, 16443, 16442, 16400, 16397, 16402, 16408, 16405, 16400, 16604, 16391, 16400, 16407, 16392, 53463, 16443, 16444, 16604, 16391, 30746, 17067, 18302, 16604, 16393, 16688, 16813, 16397, 16393, 16395, 16604, 16401, 16399, 16399, 16405, 16392, 16674, 16704, 19287, 17032, 16647, 16719, 16403, 16396, 16396, 16396, 16429, 16401, 22106, 16604, 16443, 16442, 16400, 16397, 16403, 16399, 16400, 16405, 16604, 16391, 16400, 16405, 16392, 53463, 16443, 16444, 16397, 23121, 16395, 17213, 18466, 24396, 16721, 16647, 17371, 19448, 29495, 24375, 16704, 21022, 16715, 16647, 16719, 16402, 16396, 16396, 16396, 16429, 16400, 22106, 45747, 16725, 16397, 17170, 16704, 22557, 16809, 16647, 16793, 16400, 16396, 16396, 16396, 16418, 16406, 22106, 20570, 16604, 16443, 16442, 16400, 16397, 16403, 16405, 16403, 16407, 16604, 16391, 16400, 16407, 16392, 53463, 16443, 16444, 16721, 16704, 19287, 17032, 16793, 16401, 16396, 16396, 16396, 16418, 16404, 22106, 16604, 16443, 16442, 16400, 16397, 16403, 16403, 16404, 16406, 16604, 16391, 16400, 16408, 16392, 53463, 16443, 16444, 16397, 31343, 16395, 16647, 28448, 17873, 16673, 17490, 16793, 16400, 16674, 16793, 16401, 35920, 16769, 22129, 17476, 16397, 16875, 17551, 16395, 16793, 16400, 16872, 16922, 16604, 16393, 17977, 16445, 16401, 16445, 16393, 18446, 16604, 16443, 16442, 16434, 19766, 16604, 16412, 16604, 16402, 16403, 16406, 16397, 16401, 16404, 21896, 16443, 16444, 17032, 16793, 16401, 16604, 16443, 16442, 16434, 19766, 16604, 16412, 16604, 16402, 16402, 16399, 16397, 16402, 16408, 21896, 16443, 16444, 16980, 19739, 16671, 16604, 16393, 17977, 16445, 16402, 16445, 16393, 16396, 22018, 25294, 17873, 16604, 16443, 16442, 16434, 19766, 16604, 16412, 16604, 16402, 16401 ]
[ 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, 18473, 16724, 25190, 16719, 16604, 16391, 16434, 20523, 16392, 16674, 18804, 16793, 16604, 16391, 59109, 16392, 16769, 17238, 17889, 16719, 16674, 16793, 38714, 16672, 16647, 57653, 45205, 16604, 16443, 16442, 16442, 16415, 16417, 16400, 16444, 16395, 16604, 16442, 16415, 16417, 16401, 16444, 16443, 16444, 16397, 17376, 16647, 22539, 16673, 21072, 16967, 16719, 16674, 16793, 38714, 16672, 47734, 16395, 42315, 25190, 16719, 16604, 16391, 62284, 16392, 16674, 16793, 16604, 16391, 16419, 17759, 16392, 16674, 24910, 47127, 17997, 16674, 27617, 23178, 16793, 16604, 16391, 43055, 16477, 16403, 16477, 16604, 16445, 16394, 16445, 16396, 16429, 16674, 25922, 16477, 16402, 16477, 16604, 16445, 25296, 16445, 16396, 16429, 16392, 17156, 25573, 24128, 16672, 16647, 25069, 55923, 40879, 16673, 16719, 16674, 16793, 16674, 16672, 16647, 44595, 27026, 16604, 16443, 16442, 16442, 16415, 16417, 16402, 16444, 16396, 16396, 16442, 16415, 16417, 16404, 16444, 16443, 16444, 16397, 18419, 16647, 20409, 16673, 30230, 17957, 30202, 16395, 17072, 51082, 16395, 39950, 16395, 58794, 16395, 43618, 16395, 37651, 16477, 16403, 16477, 16604, 16445, 16394, 16445, 16396, 16429, 16395, 16674, 25922, 16477, 16402, 16477, 16604, 16445, 25296, 16445, 16396, 16429, 20023, 16704, 25035, 16671, 19364, 16719, 16674, 16793, 35199, 16604, 16443, 16442, 16442, 16415, 16417, 16400, 16444, 16395, 16604, 16442, 16415, 16417, 16401, 16444, 16443, 16444, 16397, 18523, 16395, 40207, 18466, 16709, 16647, 24739, 16673, 17213, 16719, 16674, 16793, 38714, 16671, 30230, 17957, 30202, 16807, 16992, 21852, 16734, 18577, 16671, 42878, 20286, 16674, 20808, 24910, 24319, 16604, 16443, 16442, 16442, 16415, 16417, 16401, 16444, 16395, 16604, 16442, 16415, 16417, 16402, 16444, 16395, 16604, 16442, 16415, 16417, 16405, 16444, 16396, 16396, 16442, 16415, 16417, 16400, 16403, 16444, 16443, 16444, 16397, 17544, 18185, 16395, 17046, 17605, 16813, 16397, 16604, 16443, 16442, 16442, 16415, 16417, 16401, 16444, 16443, 16444, 25402, 16721, 18817, 16396, 18673, 30202, 16604, 16391, 16443, 16477, 16400, 16397, 16403, 21896, 16418, 19031, 16673, 16604, 16400, 16399, 20464, 22220, 24910, 21452, 16392, 21777, 27364, 24910, 16719, 16809, 16604, 16400, 16401, 16408, 16397, 16402, 20464, 16454, 20464, 16460, 16445, 25296, 16401, 16445, 16672, 16641, 20125, 16758, 18669, 41814, 16673, 48290, 61646, 16397, 16875, 23065, 16395, 23888, 17605, 16813, 16397, 16604, 16443, 16442, 16442, 16415, 16417, 16406, 16444, 16443, 16444, 17494, 16721, 17142, 16396, 18673, 30202, 21777, 19800, 51082, 16672, 16667, 16813, 48358, 16848, 22586, 16604, 16391, 16443, 16477, 16401, 16397, 16400, 21896, 16418, 19031, 16673, 18398, 21452, 16392, 16850, 21777, 21999, 39950, 16672, 16667, 16813, 48358, 53684, 16848, 22586, 16604, 16391, 16443, 16477, 16401, 16397, 16402, 21896, 16418, 19031, 16673, 18398, 21452, 16392, 16709, 16647, 52190, 46861, 17795, 16397, 16751, 19815, 17558, 17605, 16813, 16397, 16604, 16443, 16442, 16442, 16415, 16417, 16400, 16402, 16444, 16443, 16444, 24483, 16721, 16917, 16396, 41919, 16396, 26053, 30202, 16604, 16391, 16443, 16477, 16403, 21896, 16418, 19031, 16673, 16604, 16404, 20464, 22220, 24910, 21452, 16392, 17132, 16804, 21777, 21449, 58794, 16397, 26686, 17605, 16813, 16397, 16604, 16443, 16442, 16442, 16415, 16417, 16400, 16444, 16443, 16444, 24440, 16891, 16721, 18817, 16396, 18673, 30202, 16604, 16391, 16443, 16477, 16400, 16397, 16401, 21896, 16418, 19031, 16673, 16604, 16400, 16399, 20464, 22220, 24910, 21452, 16392, 21777, 21999, 58794, 16672, 16641, 20125, 16758, 18669, 41814, 16672, 48290, 61646, 16397, 16738, 21253, 16456, 17605, 16813, 16397, 16604, 16443, 16442, 16442, 16415, 16417, 16400, 16404, 16444, 16443, 16444, 24483, 16721, 17142, 16396, 18673, 30202, 16604, 16391, 16443, 16477, 16399, 16397, 16408, 21896, 16418, 19031, 16673, 16604, 16404, 20464, 22220, 24910, 21452, 16392, 17132, 16804, 16807, 20212, 19938, 16709, 43618, 16395, 37651, 16477, 16403, 16477, 16604, 16445, 16394, 16445, 16396, 16429, 16395, 25922, 16477, 16402, 16477, 16604, 16445, 25296, 16445, 16396, 16429, 16395, 16674, 16793, 16477, 17784, 45975, 16478, 16477, 16672, 16641, 20525, 17175, 16396, 22837, 50688, 27359, 16910, 16640, 17645, 16735, 16672, 54499, 16915, 16397, 16738, 18017, 17605, 16813, 16397, 16604, 16443, 16442, 16442, 16415, 16417, 16400, 16403, 16444, 16443, 16444, 22039, 16721, 26182, 30202, 16604, 16391, 16443, 16477, 16399, 16397, 16405, 16396, 16396, 16405, 16397, 16406, 21896, 16418, 16672, 24910, 21452, 16392, 16955, 16641, 18650, 19508, 17717, 16709, 16793, 16477, 17784, 45975, 16478, 16477, 16850, 16804, 16709, 39950, 18325, 16858, 18783, 28470, 16397, 23466, 16395, 17072, 30230, 17957, 30202, 24046, 16709, 16719, 16674, 16793, 35199, 17363, 21002, 31797, 16397, 16582, 16582, 21549, 17032, 16604, 16406, 16399, 16388, 16673, 16647, 52190, 46861, 17795, 16704, 21900, 16734, 25370, 20682, 16604, 16443, 16442, 16442, 16415, 16417, 16400, 16405, 16444, 16443, 16444, 16397, 16772, 16813, 48358, 25370, 20682, 16673, 16811, 46861, 17795, 16769, 16917, 16673, 16647, 19258, 17154, 25628, 16671, 19364, 17928, 16604, 16443, 16442, 16442, 16415, 16417, 16400, 16406, 16444, 16395, 16604, 16442, 16415, 16417, 16400, 16407, 16444, 16443, 16444, 16397, 16875, 16813, 48358, 25370, 20682, 16395, 20287, 16647, 24739, 16673, 51082, 16395, 58794, 16395, 39950, 16395, 43618, 16395, 37651, 16477, 16403, 16477, 16604, 16445, 16394, 16445, 16396, 16429, 16395, 16674, 25922, 16477, 16402, 16477, 16604, 16445, 25296, 16445, 16396, 16429, 16671, 30230, 17957, 30202, 16769, 25573, 16715, 42360, 18368, 19029, 16672, 24910, 42111, 16674, 16719, 16783, 19370, 17923, 16397, 16772, 16813, 48358, 16848, 22586, 16704, 16917, 16673, 16647, 17154, 23850, 25370, 20682, 20286, 16709, 16647, 52190, 46861, 17795, 17255, 35024, 16671, 30230, 17957, 30202, 16604, 16443, 16442, 16442, 16415, 16417, 16400, 16408, 16444, 16443, 16444, 16397, 22698, 16709, 17072, 17213, 16719, 16674, 16793, 38714, 18184, 16667, 39407, 39429, 20023, 16671, 30230, 17957, 30202, 16704, 38270, 16709, 16647, 52190, 46861, 17795, 16397, 20195, 16742, 17280, 16903, 16641, 30202, 21378, 16672, 16667, 16813, 48358, 16848, 22586, 16767, 17567, 24272, 16964, 16604, 16391, 16456, 16397, 16452, 16397, 16395, 16604, 16403, 16402, 16400, 16402, 20464, 16460, 16395, 16604, 16403, 16404, 16400, 16402, 20464, 16460, 16395, 16674, 16604, 16403, 16405, 16408, 16402, 20464, 16460, 16392, 16709, 16647, 24795, 52190, 46861, 17795, 16397, 16582, 16582, 16853, 17736, 24431, 16763, 16671, 26426, 16647, 19938, 16673, 18187, 16396, 20524, 26182, 30202, 16709, 51082, 16395, 39950, 16395, 58794, 16395, 43618, 16395, 37651, 16477, 16403, 16477, 16604, 16445, 16394, 16445, 16396, 16429, 16395, 16674, 25922, 16477, 16402, 16477, 16604, 16445, 25296, 16445, 16396, 16429, 16397, 19736, 18722, 18077, 24483, 16721, 18187, 16396, 20524, 26182, 30202, 17120, 16804, 19291, 24910, 48953, 47489, 16604, 16443, 16442, 16442, 16415, 16417, 16401, 16399, 16444, 16443, 16444, 16674, 24910, 48953, 19962, 33910, 16647, 45812, 16673, 24910, 16719, 16674, 16793, 38714, 16672, 16647, 16813, 48358, 16848, 22586, 16604, 16443, 16442, 16442, 16415, 16417, 16401, 16400, 16444, 16443, 16444, 16397, 17119, 28649, 17521, 16721, 26182, 30202, 17123, 16804, 19291, 17213, 16719, 16674, 16793, 38714, 16672, 16811, 18077, 16397, 16582, 16582, 16401, 16397, 35703, 16674, 33486, 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, 16582, 16582, 16401, 16397, 16400, 16397, 26282, 25411, 16395, 49114, 22933, 16395, 16674, 60852, 20586, 25366, 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, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 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, 23435, 23289, 16673, 16647, 18077, 18124, 16395, 16647, 30202, 26182, 17802, 16395, 16647, 27615, 16673, 20338, 60991, 20671, 16604, 16391, 25784, 24910, 21452, 16674, 24910, 37805, 16392, 16395, 16674, 16647, 24910, 32696, 16769, 18201, 16672, 30803, 17605, 16813, 16397, 16604, 16443, 16442, 16442, 16415, 16417, 16401, 16399, 16444, 16395, 16604, 16442, 16415, 16417, 16401, 16401, 16444, 16443, 16444, 16397, 16582, 16582, 16417, 20403, 16697, 16395, 17567, 16813, 48358, 16848, 22586, 21186, 16958, 20916, 16767, 17567, 24272, 16964, 16604, 16391, 16456, 16397, 16452, 16397, 16395, 16641, 18229, 16604, 16391, 16402, 16399, 21896, 16402, 16399, 29084, 16429, 16395, 16604, 16408, 16400, 21896, 16399, 16403, 29084, 16420, 16395, 16674, 16604, 16403, 16402, 16400, 16402, 20464, 16460, 16392, 16395, 19712, 16396, 16604, 16391, 16402, 16399, 21896, 16402, 16400, 29084, 16429, 16395, 16604, 16408, 16400, 21896, 16399, 16403, 29084, 16420, 16395, 16674, 16604, 16403, 16404, 16400, 16402, 20464, 16460, 16392, 16395, 16674, 17362, 16604, 16391, 16402, 16399, 21896, 16402, 16401, 29084, 16429, 16395, 16604, 16408, 16400, 21896, 16399, 16402, 29084, 16420, 16395, 16674, 16604, 16403, 16405, 16408, 16402, 20464, 16460, 16392, 39407, 16392, 16767, 23368, 16471, 17584, 44154, 17373, 29299, 28504, 26664, 16673, 48587, 21561, 34269, 28844, 16672, 19391, 16672, 17907, 16604, 16401, 16399, 16400, 16399, 16397, 16582, 16582, 57745, 17881, 18398, 21452, 16674, 46312, 16704, 16604, 16400, 16397, 16402, 21896, 16418, 16674, 16604, 16443, 16477, 16403, 16406, 16405, 16397, 16407, 20464, 19932, 16395, 22358, 16604, 16443, 16442, 16442, 16415, 16417, 16401, 16399, 16444, 16395, 16604, 16442, 16415, 16417, 16401, 16400, 16444, 16443, 16444, 16397, 16772, 42878, 16704, 16393, 16426, 17080, 16791, 16915, 16393, 16396, 65147, 16813, 48358, 16848, 22586, 16674, 27260, 16769, 23693, 35678, 16672, 16647, 17772, 16909, 16724, 22450, 16604, 16391, 16399, 16396, 16396, 16401, 16399, 20464, 22220, 16392, 16604, 16443, 16442, 16442, 16415, 16417, 16401, 16400, 16444, 16395, 16604, 16442, 16415, 16417, 16401, 16401, 16444, 16443, 16444, 16397, 16772, 24910, 16704, 30103, 16741, 51519, 16862, 16707, 16395, 16734, 33208, 16673, 16604, 16405, 16397, 16399, 16396, 16396, 16405, 16397, 16406, 16395, 25190, 18798, 16673, 16604, 16399, 16397, 16402, 16396, 16396, 16400, 16400, 16397, 16401, 16388, 16395, 16674, 18804, 16793, 16673, 16604, 16399, 16397, 16399, 16402, 16396, 16396, 16399, 16397, 16403, 16408, 16388, 16604, 16443, 16442, 16442, 16415, 16417, 16401, 16399, 16444, 16395, 16604, 16442, 16415, 16417, 16401, 16401, 16444, 16443, 16444, 16397, 16582, 16582, 27715, 17772, 44615, 16604, 16391, 18957, 39290, 16395, 16604, 16402, 25737, 23175, 20932, 38290, 16758, 16392, 16958, 17405, 16671, 24187, 21452, 16604, 16443, 16442, 16442, 16415, 16417, 16401, 16401, 16444, 16395, 16604, 16442, 16415, 16417, 16401, 16402, 16444, 16443, 16444, 16397, 16772, 21387, 16674, 17772, 24764, 20221, 16674, 16647, 22908, 16673, 16830, 21512, 16466, 16958, 16604, 16400, 16397, 16403, 16404, 20464, 16460, 16674, 16604, 16400, 16397, 16399, 16399, 20464, 16460, 16674, 16604, 16399, 16397, 16403, 16399, 20464, 16460, 16395, 22358, 16604, 16443, 16442, 16442, 16415, 16417, 16401, 16399, 16444, 16395, 16604, 16442, 16415, 16417, 16401, 16401, 16444, 16443, 16444, 16397, 17544, 17492, 18758, 16395, 17910, 16830, 21512, 16466, 16674, 16914, 38558, 18123, 37359, 16604, 16391, 16400, 20464, 16460, 32317, 16604, 16400, 20464, 16460, 16392, 16958, 32965, 20916, 16672, 17907, 16604, 16401, 16399, 16400, 16399, 16397, 17664, 16763, 16604, 16443, 16477, 16402, 20464, 16460, 21424, 17415, 37359, 16397, 16582, 16582, 43636, 17881, 24910, 21452, 16604, 16391, 16393, 16435, 16393, 16604, 16477, 16393, 16466, 16393, 16477, 16392, 17560, 16647, 18077, 18472, 16673, 18936, 16396, 31259, 16672, 16604, 16401, 16399, 16400, 16400, 19575, 16647, 16830, 21512, 16466, 19800, 16809, 16604, 16400, 16397, 16401, 16405, 21896, 16418, 16395, 16604, 16399, 16397, 16408, 16407, 21896, 16418, 16395, 16674, 16604, 16400, 16397, 16402, 16406, 21896, 16418, 16767, 16647, 18229, 16395, 19712, 16396, 16395, 16674, 17362, 39407, 16395, 22358, 16395, 19739, 16671, 18123, 37359, 16604, 16443, 16442, 16442, 16415, 16417, 16401, 16399, 16444, 16443, 16444, 16397, 16875, 23065, 16395, 26182, 30202, 27364, 20217, 17881, 24910, 37805, 16604, 16391, 28082, 16392, 16809, 16604, 16399, 16397, 16399, 16403, 20464, 16460, 16445, 16402, 16445, 20464, 16460, 16445, 25296, 16402, 16445, 16672, 16858, 21186, 16604, 16443, 16442, 16442, 16415, 16417, 16401, 16399, 16444, 16443, 16444, 16397, 24290, 17881, 16604, 16393, 16435, 16393, 16604, 16477, 16393, 16466, 16393, 16477, 27364, 16734, 20209, 39407, 16815, 16647, 18229, 16671, 17362, 39407, 16604, 16443, 16442, 16442, 16415, 16417, 16401, 16399, 16444, 16443, 16444, 16397, 16582, 16582, 17507, 23980, 17772, 16909, 16724, 23375, 16604, 16391, 16399, 16396, 16396, 16401, 16399, 20464, 22220, 23437, 16392, 19575, 17492, 22718, 17655, 16641, 31169, 16604, 16402, 16397, 16399, 20464, 22220, 16672, 31351, 16709, 18936, 16604, 16406, 16395, 19137, 16604, 16408, 16395, 16674, 19118, 16604, 16400, 16399, 16395, 16604, 16401, 16399, 16400, 16400, 16604, 16443, 16442, 16442, 16415, 16417, 16401, 16399, 16444, 16443, 16444, 16397, 28092, 24910, 22980, 16707, 18716, 16958, 32965, 47089, 16674, 25781, 17292, 17065, 16917, 24910, 22281, 16715, 17492, 22718, 16604, 16443, 16442, 16442, 16415, 16417, 16401, 16399, 16444, 16443, 16444, 16397, 21064, 59209, 16673, 16647, 21012, 24910, 16958, 17405, 16671, 20165, 58794, 16395, 43618, 16395, 37651, 16477, 16403, 16477, 16604, 16445, 16394, 16445, 16396, 16429, 16395, 16674, 25922, 16477, 16402, 16477, 16604, 16445, 25296, 16445, 16396, 16429, 16674, 16977, 22980, 16707, 18716, 16673, 16647, 21012, 24910, 16958, 18398, 16396, 16451, 18425 ]
[ 0, 32155, 17768, 20315, 22590, 16685, 16943, 34095, 16582, 16582, 43388, 17665, 17099, 16715, 17968, 16868, 16829, 16647, 17980, 16715, 16647, 19008, 16395, 16674, 16873, 16843, 29527, 16667, 38051, 22161, 31152, 17562, 16397, 16687, 16743, 16460, 23139, 16397, 18523, 16395, 16687, 17027, 17967, 17072, 17240, 16985, 18167, 16672, 16709, 16721, 22869, 21418, 16397, 18260, 16732, 18615, 22161, 48296, 16715, 17174, 16414, 27650, 17123, 16703, 16641, 17369, 18335, 16673, 17174, 16674, 25454, 22909, 16397, 37432, 16647, 64013, 16673, 17360, 18533, 16743, 16466, 45154, 22692, 18398, 16395, 21573, 16671, 16811, 24227, 16395, 16674, 17391, 16672, 16647, 16672, 47685, 16925, 37663, 16741, 16732, 18043, 16870, 16604, 16391, 16454, 21323, 18742, 16785, 16804, 16392, 20011, 16647, 16792, 16976, 16397, 17426, 16732, 17121, 16743, 16467, 16807, 18267, 16395, 16647, 37385, 16843, 17335, 16604, 17705, 22000, 16743, 16674, 16604, 17705, 25555, 16743, 16397, 17960, 18777, 16911, 16821, 16710, 16848, 16980, 17213, 16769, 21286, 17665, 17099, 16715, 16887, 23393, 16604, 16391, 16706, 17788, 17949, 17961, 25664, 16392, 16785, 17120, 18777, 19169, 19690, 16667, 32973, 16397, 17664, 16769, 17259, 22161, 48296, 49954, 28141, 16672, 16647, 22161, 48296, 18797, 24278, 16395, 16991, 16769, 17785, 18838, 16734, 20236, 30386, 16671, 21268, 19059, 16674, 16991, 16769, 21036, 16734, 21559, 18325, 16647, 50968, 16397, 16687, 17579, 19678, 17065, 16641, 24659, 22161, 17665, 17105, 16395, 16850, 16687, 17133, 16887, 22789, 17699, 16807, 17607, 20654, 16672, 16728, 16384, 53039, 16807, 16992, 19470, 16647, 17467, 16673, 25486, 16709, 22161, 16715, 22231, 16397, 16772, 17238, 19500, 57664, 42537, 16715, 16604, 16401, 16399, 16400, 16399, 16704, 16647, 16965, 31725, 18502, 16395, 16944, 16872, 16992, 16641, 19500, 22525, 16715, 22161, 31152, 19098, 16672, 16647, 18074, 16397, 16582, 16582, 16853, 32063, 64009, 16769, 16641, 20005, 22161, 31152, 17562, 18365, 16671, 16858, 16397, 16582, 16582, 17635, 16704, 17178, 16647, 19749, 24261, 16715, 16858, 50349, 31152, 17665, 17099, 16674, 16704, 17405, 16809, 16858, 25741, 16397, 16687, 21231, 16647, 28666, 20318, 16931, 23485, 16674, 16827, 26420, 16709, 50349, 17665, 17099, 16397, 17426, 16912, 16792, 16976, 17257, 16804, 16807, 16641, 20022, 16395, 17704, 16647, 16922, 22656, 17665, 27729, 16672, 16944, 16873, 20028, 16914, 17665, 17099, 16397, 28547, 16671, 16409, 17072, 16843, 16732, 17190, 16641, 22161, 48296, 16792, 16976, 16709, 16641, 35156, 16414, 16772, 32063, 64009, 16769, 16641, 20005, 22161, 31152, 17562, 18365, 16671, 16858, 16397, 27109, 31152, 16704, 24508, 16671, 17393, 16891, 17032, 17154, 16977, 17562, 21505, 17172, 16732, 16807, 16671, 17967, 17072, 16671, 42537, 17329, 16732, 16843, 18212, 17072, 16671, 17156, 22161, 31152, 16397, 17332, 16829, 16804, 16807, 16671, 20522, 16641, 34301, 16859, 16741, 16671, 18291, 27723, 23582, 17665, 17099, 16397, 17403, 16980, 16732, 16743, 16644, 19470, 16891, 16673, 16641, 18171, 16396, 16455, 17597, 35498, 16785, 33802, 16709, 16912, 17304, 16395, 16732, 16743, 16683, 16807, 16671, 37367, 16715, 16912, 21131, 16397, 17403, 16395, 16687, 16743, 16683, 21178, 17536, 16721, 16687, 19241, 16721, 16687, 22606, 16641, 17563, 16767, 16647, 17005, 16395, 16944, 41336, 17348, 24134, 16397, 16582, 16582, 25368, 27977, 18184, 16734, 16739, 18359, 22954, 16604, 16391, 16676, 16732, 17134, 16672, 16647, 21385, 16709, 16647, 17939, 16392, 28804, 16931, 16604, 16402, 26568, 16397, 16582, 16582, 18111, 17172, 16728, 16743, 16466, 16994, 16641, 17687, 16767, 16641, 17005, 16395, 16732, 18222, 17103, 19308, 16895, 16671, 16647, 17952, 17006, 23334, 16673, 16647, 27977, 16674, 16647, 34095, 16397, 16772, 23437, 16673, 16647, 39397, 35177, 16815, 34095, 16671, 34095, 16674, 17699, 16703, 20152, 16809, 43444, 16767, 16641, 34095, 25669, 18998, 20022, 16397, 17332, 20048, 16671, 18367, 16815, 16667, 21546, 42537, 20255, 16944, 20027, 16659, 16734, 16732, 16809, 19624, 16785, 19592, 16397, 19079, 27977, 18184, 16734, 16739, 18359, 22954, 16604, 16391, 16676, 16732, 17134, 16672, 16647, 21385, 16709, 16647, 17939, 16392, 28804, 16931, 16604, 16402, 26568, 16397, 35301, 18289, 17587, 16395, 35417, 20038, 16699, 16743, 16466, 17154, 20697, 16396, 32235, 16661, 22245, 16673, 16647, 17238, 17092, 22954, 17027, 18112, 18226, 16734, 16888, 17562, 16709, 16647, 17803, 17156, 16397, 26325, 16647, 30162, 25597, 16709, 16647, 60624, 16395, 17709, 16395, 17760, 59189, 16395, 17760, 38678, 16395, 17156, 17473, 16709, 16811, 16715, 16641, 17301, 17005, 18015, 16732, 16743, 16644, 23470, 16732, 16743, 16644, 23042, 16734, 16647, 33140, 16674, 17027, 16647, 17210, 16728, 25025, 16975, 16397, 20648, 16395, 16732, 16743, 16683, 17109, 16671, 17928, 16647, 20248, 30169, 16397, 16711, 18970, 23356, 16674, 25877, 16769, 17280, 16903, 16672, 16647, 27710, 31138, 17187, 16732, 16843, 17928, 17065, 16912, 17665, 17099, 16397, 27903, 16395, 16986, 16769, 32942, 27968, 25398, 16779, 16674, 16977, 28337, 24029, 17473, 16647, 19620, 17274, 16741, 47527, 27525, 16715, 17797, 53841, 33082, 16674, 23629, 35580, 64019, 16397, 16582, 16582, 16427, 21722, 16409, 42082, 17834, 63459, 16604, 16398, 36012, 18701, 16677, 16582, 16582, 43590, 23477, 17405, 16944, 18466, 16672, 16641, 18846, 24729, 42537, 17655, 16641, 28479, 20007, 16582, 16582, 33169, 16715, 16641, 18943, 17437, 20521, 60367, 16647, 52179, 16732, 23373, 16674, 22779, 16647, 25178, 16582, 16582, 49227, 16880, 16647, 17747, 19341, 17092, 16582, 16582, 16853, 17154, 17204, 16396, 21230, 23402, 16715, 16604, 16400, 16684, 16395, 16604, 16401, 19566, 16395, 16674, 16604, 16402, 20720, 24950, 39949, 16769, 23139, 16785, 17953, 16397, 32834, 16395, 45385, 16674, 57705, 16769, 25573, 17348, 16395, 16674, 16732, 29245, 16671, 16807, 52870, 16944, 18314, 16709, 17213, 23349, 16397, 16772, 17238, 18865, 16396, 48258, 16395, 54292, 16396, 16642, 16396, 40339, 16396, 55063, 19347, 16769, 17395, 16671, 35463, 16914, 24297, 16673, 20169, 19761, 17014, 22161, 48296, 16397, 17426, 16728, 18526, 16671, 25344, 31152, 17665, 17099, 16395, 43584, 39316, 17116, 18302, 19302, 16709, 16641, 19609, 20879, 16673, 31152, 17665, 17099, 16715, 19347, 16767, 30025, 26572, 21161, 16397, 17144, 47486, 16395, 16819, 43644, 16395, 28638, 20633, 18030, 16395, 16850, 17686, 58535, 16672, 16647, 59155, 18282, 16395, 16704, 16647, 17477, 16721, 16647, 17687, 31152, 20022, 26548, 16397, 16687, 17178, 17477, 31913, 38466, 16715, 30957, 32437, 18266, 16733, 17665, 16895, 16734, 16848, 17172, 16687, 16763, 16647, 16759, 23137, 18266, 19110, 16397, 16687, 16743, 16690, 17665, 16895, 17608, 16687, 16763, 16641, 17785, 18697, 17178, 16687, 16743, 17847, 21769, 16397, 17170, 30270, 16721, 18015, 21596, 16604, 16400, 16401, 16395, 16687, 24382, 16743, 16467, 18021, 17665, 16895, 16647, 28140, 36807, 16473, 16671, 21674, 16397, 52193, 16728, 18238, 23222, 18122, 16664, 34710, 56069, 16674, 27043, 16641, 18519, 27588, 27440, 16395, 16850, 17178, 16704, 17005, 16715, 37543, 22692, 21505, 16397, 17170, 16704, 17027, 16647, 23353, 19489, 16671, 17134, 22692, 30451, 16397, 18477, 17929, 16395, 16986, 16769, 20471, 16396, 25844, 16395, 19532, 16396, 25844, 16674, 16822, 16396, 41805, 20362, 22790, 16673, 38898, 30714, 16395, 16647, 22525, 16673, 38898, 45615, 19294, 23825, 19028, 18403, 34365, 16397, 19063, 25147, 16671, 31152, 17665, 17099, 16395, 20458, 17665, 17099, 37186, 38898, 45615, 16709, 16647, 18801, 16673, 16647, 34095, 16395, 19294, 19438, 16815, 46770, 25066, 16785, 35716, 16734, 16641, 25066, 34900, 16395, 16944, 25929, 16667, 31324, 16785, 16859, 20371, 16647, 17638, 16659, 16673, 16811, 27977, 16397, 16582, 16582, 21260, 17172, 16728, 16743, 16466, 19582, 16674, 16732, 16994, 17497, 20164, 17257, 16804, 25103, 17430, 17940, 16721, 16732, 20048, 16671, 20522, 16858, 16673, 16912, 17747, 16396, 62657, 21118, 16709, 16641, 19346, 16397, 16772, 30012, 61128, 20085, 19582, 16721, 16647, 17585, 16868, 20864, 17073, 20849, 16671, 16604, 16894, 53322, 16647, 22795, 16900, 16734, 16858, 16647, 61128, 16604, 16401, 16399, 16400, 16407, 26172, 20076, 39316, 23174, 28990, 18514, 21429, 31152, 19122, 16811, 19979, 16672, 42964, 24030, 16397, 27385, 17073, 40471, 22746, 20416, 16872, 16641, 18982, 25938, 16674, 49817, 16917, 16673, 16647, 17154, 20283, 54908, 21505, 17585, 26223, 16672, 16647, 20175, 16604, 17064, 47985, 48989, 18107, 17067, 16397, 18483, 17386, 16732, 17335, 16671, 19486, 16604, 16894, 16424, 16955, 16992, 16641, 17687, 16604, 17705, 18700, 16743, 18120, 16397, 16900, 17294, 16732, 16397, 16772, 18188, 16732, 17137, 17007, 16671, 16703, 17142, 21681, 22539, 16674, 17818, 18846, 22166, 17665, 17099, 16807, 16728, 16811, 17210, 16395, 16704, 16859, 16721, 16732, 16843, 21176, 16647, 34095, 17714, 21910, 16647, 18456, 42537, 16397, 24591, 16858, 16647, 17567, 20276, 16395, 23582, 21352, 17099, 19522, 29411, 33397, 16395, 29411, 45074, 16395, 16674, 49958, 27977, 16398, 53214, 22722, 17665, 17099, 16397, 33904, 17665, 27729, 16945, 22576, 17476, 25741, 16397, 16582, 16582, 16424, 17137, 16671, 33978, 17212, 16709, 17348, 16715, 16641, 19201, 45389, 16931, 17693, 21747, 16397, 16582, 16582, 42311, 16395, 16687, 16961, 17652, 16671, 17280, 16641, 17598, 25585, 16673, 18154, 27109, 25952, 16604, 16391, 16416, 18317, 16392, 16709, 16647, 20130, 24421, 16395, 20994, 17653, 28998, 16715, 20005, 17665, 27729, 16671, 17783, 16674, 16715, 18198, 37656, 50360, 16671, 17875, 16914, 17304, 16985, 16397, 16687, 16743, 16690, 19530, 16647, 33502, 21352, 17099, 17014, 16647, 20312, 18112, 16891, 16671, 17038, 16792, 16976, 16397, 21861, 17097, 37936, 18112, 16815, 16994, 17142, 20839, 31152, 24297, 16672, 35744, 16674, 20242, 16397, 16999, 16704, 17747, 16671, 16829, 32900, 16767, 16887, 16792, 16976, 17608, 16647, 28001, 24114, 16769, 17686, 28946, 16395, 16986, 16704, 16641, 31152, 17546, 16672, 16647, 16792, 16976, 17617, 16674, 17028, 20447, 16672, 16647, 27977, 21910, 18124, 16671, 16829, 18248, 16397, 18708, 20988, 16647, 17514, 21747, 16673, 31152, 19098, 24810, 16671, 16811, 22909, 17546, 16671, 17156, 19098, 16397, 20919, 17016, 16732, 22074, 23670, 19988, 16704, 16721, 16732, 18358, 16811, 19644, 16715, 16732, 16397, 19814, 16687, 17335, 46387, 16802, 19470, 16395, 16687, 18510, 16641, 17650, 23767, 18655, 16671, 16811, 16409, 16396, 17426, 16732, 17137, 16671, 18212, 16641, 23393, 16395, 16732, 17393, 18148, 16929, 18022, 16872, 16721, 23393, 16395, 16674, 18212, 16815, 17007, 16397, 16687, 17137, 16671, 33978, 17212, 16709, 17348, 16715, 16641, 19201, 45389, 16931, 17693, 21747, 16397, 16687, 16807, 16641, 17679, 16673, 49432, 16397, 16604, 16402, 16399, 16399, 16397, 21352, 17160, 16734, 17797, 16674, 18659, 16704, 16641, 24659, 17510, 16673, 22271, 16674, 24932, 16397, 16582, 16582, 44369, 16834, 20087, 35667, 16674, 25321, 17274, 16741, 61219, 16395, 50010, 16674, 51915, 16582, 16582, 38810, 16671, 16914, 20215, 16395, 19326, 17699, 16804, 18262, 16785, 17391, 49131, 16709, 16647, 22161, 16582, 16582, 16853, 23582, 21432, 25589, 33397, 19898, 48114, 16697, 23042, 16582, 16582, 40455, 16940, 16912, 18344, 18566, 16582, 16582, 22520, 16895, 24105, 16396, 16677, 17423, 23231, 20634, 16715, 22818, 42537, 19644, 16582, 16582, 48408, 16858, 20380, 52892, 34095, 24937, 16734, 51473, 16582, 16582, 25140, 19310, 16647, 22053, 20266, 16673, 46361, 16395, 16647, 42537, 45074, 22789, 20259, 16769, 35330, 16674, 20087, 16671, 34300, 16715, 17476, 48296, 23393, 19415, 16395, 20086, 37131, 16674, 19001, 18370, 36223, 16397, 36249, 51927, 16769, 21035, 16671, 22652, 36045, 24278, 16397, 16875, 16604, 16400, 16408, 16401, 16399, 16395, 16647, 17301, 60651, 16769, 17363, 19500, 22799, 16715, 31286, 16397, 16772, 22161, 48296, 22799, 17208, 17027, 16703, 17274, 16721, 16728, 20067, 16732, 21747, 17014, 16732, 29774, 16397, 16773, 20729, 16878, 48296, 16704, 16641, 22454, 16721, 20760, 32581, 17492, 16673, 16647, 34600, 16397, 21123, 42537, 45074, 16769, 17405, 16672, 19001, 22161, 21505, 16674, 19811, 16395, 16728, 16704, 25573, 16671, 17967, 16647, 17476, 20286, 16395, 16914, 20760, 16674, 26502, 16397, 18708, 21222, 18619, 17261, 16732, 20776, 16912, 24029, 16395, 20781, 16732, 16769, 16804, 24148, 29827, 16734, 16859, 17259, 19943, 16674, 16807, 17028, 18479, 16944, 16671, 20446, 16397, 20211, 17891, 16728, 16743, 16466, 20927, 16671, 24339, 16641, 17203, 17092, 27493, 16741, 16732, 17660, 16743, 16467, 18021, 16807, 16641, 17711, 19489, 16671, 17190, 16641, 17092, 27493, 16395, 19576, 34014, 16661, 19486, 16671, 32569, 16968, 16704, 16804, 16641, 17203, 18479, 16397, 16582, 16582, 19659, 17097, 16704, 16728, 16721, 16647, 17238, 17092, 38035, 48296, 27977, 16709, 21006, 16395, 16728, 16704, 17366, 16815, 16647, 17154, 16903, 16396, 16928, 16396, 18845, 16672, 25002, 21024, 16604, 17064, 23353, 16715, 17665, 27729, 16721, 16769, 18183, 16715, 16641, 28479, 16674, 23042, 17802, 16397, 22821, 16732, 16743, 16683, 17393, 19001, 24146, 16673, 50349, 37649, 17665, 17099, 17405, 16715, 19001, 24146, 16673, 50349, 48296, 16397, 17119, 17027, 20251, 16641, 19770, 20710, 16673, 23822, 16715, 29482, 16395, 45989, 16395, 32998, 16395, 30109, 17099, 16674, 37649, 48296, 16397, 17426, 16732, 20446, 16671, 16807, 24375, 16672, 20017, 48296, 16732, 16807, 16671, 17190, 18244, 16721, 16732, 16969, 17665, 17099, 16944, 17120, 16703, 20087, 16741, 16728, 16397, 17513, 16969, 16671, 16969, 27968, 16815, 25014, 16674, 16873, 16769, 16824, 16910, 63582, 16397, 18419, 16647, 17262, 25142, 16672, 26978, 16395, 16732, 16843, 18615, 16641, 24659, 22692, 18217, 16709, 16647, 46592, 16734, 16647, 17261, 16673, 16641, 34881, 17433, 16715, 16732, 16986, 29647, 16397, 28547, 16671, 16409, 16759, 40088, 17023, 21401, 17660, 16647, 16604, 16400, 16408, 16408, 16401, 22692, 61684, 16675, 20494, 32434, 16715, 20002, 20458, 48296, 16414, 16582, 16582, 28382, 18102, 16674, 18130, 17724, 22199, 16664, 40709, 17131, 20766, 17235, 16671, 19238, 16647, 23231, 61735, 16674, 18576, 17537, 16397, 17664, 16769, 18838, 17274, 16741, 23582, 30942, 22590, 16674, 16778, 17245, 17182, 16721, 53576, 16672, 21625, 36761, 16674, 20458, 31851, 17400, 20259, 16721, 34300, 16715, 18102, 16395, 18130, 16674, 17968, 16397, 17376, 20458, 48296, 23373, 16647, 16604, 16401, 16400, 16684, 20655 ]
[ 0, 16398, 16398, 16412, 16412, 16412, 16412, 16412, 16693, 19231, 17175, 16448, 30640, 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, 16582, 16398, 16398, 16412, 16790, 27501, 16666, 20205, 25458, 26475, 16391, 30948, 16723, 23132, 16392, 39103, 17778, 25212, 30640, 16582, 16398, 16398, 16412, 16412, 16412, 16412, 16412, 19139, 16409, 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, 16582, 16398, 16398, 16772, 26105, 64752, 21870, 16395, 16693, 19231, 17175, 16448, 18068, 17562, 16582, 16398, 16398, 16412, 16412, 16412, 16412, 16412, 31909, 33974, 16409, 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, 16582, 16398, 16398, 16412, 16604, 16400, 16397, 16407, 16582, 16398, 16398, 16412, 16412, 16412, 16412, 16412, 18851, 41099, 18419, 16409, 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, 16582, 16398, 16398, 16412, 20420, 51649, 16448, 16582, 16398, 16398, 16412, 16412, 16412, 16412, 16412, 34594, 24541, 16409, 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, 16582, 16398, 16398, 16412, 16604, 16399, 16407, 16398, 16401, 16403, 16398, 16399, 16404, 16604, 16409, 50272, 16604, 16400, 16684, 19288, 16397, 16604, 16442, 46158, 16705, 16446, 16419, 16949, 16444, 16582, 16398, 16398, 16412, 16604, 16400, 16397, 16400, 16409, 19214, 44246, 16671, 17743, 16604, 16400, 16395, 16604, 16401, 16741, 24440, 16891, 16809, 16582, 16398, 16398, 16412, 16696, 16650, 30452, 17663, 16428, 18281, 17499, 16397, 16604, 16442, 27217, 16701, 18754, 16444, 16582, 16398, 16398, 16412, 16604, 16400, 16397, 16402, 16409, 19214, 45411, 18138, 16709, 16822, 27800, 16390, 16466, 16604, 16385, 27800, 27139, 16385, 16604, 16442, 16431, 38866, 16386, 16402, 16444, 16582, 16398, 16398, 16412, 16581, 16687, 17027, 17366, 16647, 17617, 16922, 35173, 16472, 16604, 16445, 16445, 16582, 16398, 16398, 16412, 16604, 16400, 16397, 16403, 16409, 17721, 42155, 32839, 16466, 18745, 16671, 17304, 22618, 16815, 17226, 27800, 16604, 16442, 30452, 20088, 16428, 18281, 17499, 16444, 16582, 16398, 16398, 16412, 16604, 16400, 16397, 16404, 16409, 19253, 23874, 32839, 20246, 16674, 17226, 27800, 20737, 20788, 16671, 16921, 39027, 16604, 16442, 28061, 60755, 16444, 16582, 16398, 16398, 16412, 16604, 16400, 16397, 16405, 16409, 34846, 18126, 16397, 16402, 32839, 16466, 16604, 16442, 28061, 60755, 16444, 16582, 16398, 16398, 16412, 16604, 16400, 16397, 16406, 53165, 16665, 42760, 32839, 17917, 16671, 16703, 19749, 16671, 17226, 27800, 16397, 16604, 16442, 16427, 16399, 17022, 16446, 16438, 16399, 63632, 16444, 16582, 16398, 16398, 16412, 16581, 16396, 16711, 21179, 16604, 16408, 16408, 16868, 17178, 16703, 58503, 17014, 16647, 42760, 32839, 16466, 16397, 16582, 16398, 16398, 16412, 16581, 16396, 17778, 16953, 32839, 16674, 42760, 32839, 17178, 32839, 16672, 18952, 23402, 16397, 16582, 16398, 16398, 16412, 16581, 16396, 26679, 30924, 16665, 41057, 16671, 17823, 16715, 31993, 32839, 18032, 16397, 16582, 16398, 16398, 16412, 16604, 16400, 16397, 16406, 16448, 50272, 52657, 18094, 16671, 17754, 16815, 43877, 16461, 16716, 37355, 16397, 16604, 16442, 16427, 16399, 17022, 16446, 16438, 16399, 63632, 16444, 16582, 16398, 16398, 16412, 16604, 16400, 16397, 16407, 53165, 16665, 42760, 32839, 38529, 16604, 16391, 22548, 16466, 16401, 42760, 16392, 16397, 16604, 16442, 16427, 16399, 17022, 16446, 16438, 16399, 63632, 16444, 16582, 16398, 16398, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 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, 16582, 16398, 16398, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 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, 16398, 16398, 16685, 51985, 16446, 16451, 16720, 16399, 16400, 16604, 16396, 29167, 16396, 21806, 46939, 16604, 16400, 16421, 16582, 16398, 16398, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 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, 16459, 51985, 16446, 16451, 16720, 16399, 16400, 16395, 16399, 16395, 16399, 16395, 16399, 16395, 16399, 16581, 19345, 18484, 16581, 25449, 19901, 16581, 16400, 16405, 16400, 16402, 16395, 16404, 16399, 16395, 16399, 16395, 16399, 16395, 16399, 16582, 16459, 51985, 16446, 16451, 16720, 16399, 16400, 16395, 16399, 16395, 16399, 16395, 16399, 16395, 16399, 16581, 19345, 18484, 16581, 17375, 62273, 17189, 16581, 16400, 16405, 16401, 16406, 16395, 16406, 16399, 16395, 16399, 16395, 16399, 16395, 16399, 16582, 16459, 51985, 16446, 16451, 16720, 16399, 16400, 16395, 16399, 16395, 16399, 16395, 16399, 16395, 16399, 16581, 19345, 18484, 16581, 23973, 18516, 16581, 16400, 16405, 16407, 16401, 16395, 16400, 16399, 16399, 16395, 16399, 16395, 16399, 16395, 16399, 16582, 16459, 51985, 16446, 16451, 16720, 16399, 16400, 16395, 16399, 16395, 16399, 16395, 16399, 16395, 16399, 16581, 19345, 18484, 16581, 16420, 20226, 16716, 16746, 16719, 49592, 16581, 16400, 16405, 16404, 16401, 16395, 16400, 16395, 16399, 16395, 16399, 16395, 16399, 16582, 16459, 51985, 16446, 16451, 16720, 16399, 16400, 16395, 16399, 16395, 16399, 16395, 16399, 16395, 16399, 16581, 19345, 18484, 16581, 16438, 16675, 16749, 16449, 16856, 16700, 16791, 16581, 16400, 16405, 16404, 16402, 16395, 16400, 16395, 16399, 16395, 16399, 16395, 16399, 16582, 16459, 51985, 16446, 16451, 16720, 16399, 16400, 16395, 16399, 16395, 16399, 16395, 16399, 16395, 16399, 16581, 19345, 18484, 16581, 18388, 17484, 21673, 44418, 18179, 16581, 16400, 16405, 16404, 16403, 16395, 16400, 16395, 16399, 16395, 16399, 16395, 16399, 16582, 16459, 51985, 16446, 16451, 16720, 16399, 16400, 16395, 16399, 16395, 16399, 16395, 16399, 16395, 16399, 16581, 19345, 18484, 16581, 20018, 16826, 17094, 16799, 17100, 16718, 16452, 16581, 16400, 16405, 16404, 16404, 16395, 16400, 16395, 16399, 16395, 16399, 16395, 16399, 16582, 16459, 51985, 16446, 16451, 16720, 16399, 16400, 16395, 16399, 16395, 16399, 16395, 16399, 16395, 16399, 16581, 19345, 18484, 16581, 16426, 16962, 16959, 16687, 22032, 16730, 16581, 16400, 16405, 16404, 16405, 16395, 16400, 16395, 16399, 16395, 16399, 16395, 16399, 16582, 16459, 51985, 16446, 16451, 16720, 16399, 16400, 16395, 16399, 16395, 16399, 16395, 16399, 16395, 16399, 16581, 19345, 18484, 16581, 22579, 16865, 16683, 17119, 22119, 16581, 16400, 16405, 16404, 16406, 16395, 16400, 16395, 16399, 16395, 16399, 16395, 16399, 16582, 16459, 51985, 16446, 16451, 16720, 16399, 16400, 16395, 16400, 16404, 16399, 16395, 16404, 16399, 16395, 16400, 16405, 16395, 16400, 16407, 16581, 19345, 18484, 16581, 16420, 20226, 16716, 16746, 16719, 49592, 16581, 16400, 16405, 16404, 16401, 16395, 16400, 16395, 16408, 16399, 16399, 16399, 16399, 16399, 16395, 16407, 16399, 16399, 16399, 16399, 16399, 16395, 16400, 16582, 16459, 51985, 16446, 16451, 16720, 16399, 16400, 16395, 16400, 16404, 16399, 16395, 16404, 16399, 16395, 16400, 16405, 16395, 16400, 16407, 16581, 19345, 18484, 16581, 16438, 16675, 16749, 16449, 16856, 16700, 16791, 16581, 16400, 16405, 16404, 16402, 16395, 16400, 16395, 16408, 16399, 16399, 16399, 16399, 16399, 16395, 16407, 16399, 16399, 16399, 16399, 16399, 16395, 16400, 16582, 16459, 51985, 16446, 16451, 16720, 16399, 16400, 16395, 16400, 16404, 16399, 16395, 16404, 16399, 16395, 16400, 16405, 16395, 16400, 16407, 16581, 19345, 18484, 16581, 18388, 17484, 21673, 44418, 18179, 16581, 16400, 16405, 16404, 16403, 16395, 16400, 16395, 16408, 16399, 16399, 16399, 16399, 16399, 16395, 16407, 16399, 16399, 16399, 16399, 16399, 16395, 16400, 16582, 16459, 51985, 16446, 16451, 16720, 16399, 16400, 16395, 16400, 16404, 16399, 16395, 16404, 16399, 16395, 16400, 16405, 16395, 16400, 16407, 16581, 19345, 18484, 16581, 20018, 16826, 17094, 16799, 17100, 16718, 16452, 16581, 16400, 16405, 16404, 16404, 16395, 16404, 16395, 16408, 16399, 16399, 16399, 16399, 16399, 16395, 16407, 16399, 16399, 16399, 16399, 16399, 16395, 16400, 16582, 16459, 51985, 16446, 16451, 16720, 16399, 16400, 16395, 16400, 16404, 16399, 16395, 16404, 16399, 16395, 16400, 16405, 16395, 16400, 16407, 16581, 19345, 18484, 16581, 16426, 16962, 16959, 16687, 22032, 16730, 16581, 16400, 16405, 16404, 16405, 16395, 16404, 16395, 16405, 16399, 16399, 16399, 16399, 16399, 16395, 16402, 16399, 16399, 16399, 16399, 16399, 16395, 16400, 16582, 16459, 51985, 16446, 16451, 16720, 16399, 16400, 16395, 16400, 16404, 16399, 16395, 16404, 16399, 16395, 16400, 16405, 16395, 16400, 16407, 16581, 19345, 18484, 16581, 22579, 16865, 16683, 17119, 22119, 16581, 16400, 16405, 16404, 16406, 16395, 16404, 16395, 16405, 16399, 16399, 16399, 16399, 16399, 16395, 16402, 16399, 16399, 16399, 16399, 16399, 16395, 16400, 16582, 16459, 51985, 16446, 16451, 16720, 16399, 16400, 16395, 16401, 16404, 16399, 16395, 16400, 16404, 16399, 16395, 16400, 16407, 16395, 16402, 16399, 16581, 19345, 18484, 16581, 16420, 20226, 16716, 16746, 16719, 49592, 16581, 16400, 16405, 16404, 16401, 16395, 16403, 16395, 16408, 16399, 16399, 16399, 16399, 16399, 16395, 16407, 16399, 16399, 16399, 16399, 16399, 16395, 16400, 16582, 16459, 51985, 16446, 16451, 16720, 16399, 16400, 16395, 16401, 16404, 16399, 16395, 16400, 16404, 16399, 16395, 16400, 16407, 16395, 16402, 16399, 16581, 19345, 18484, 16581, 16438, 16675, 16749, 16449, 16856, 16700, 16791, 16581, 16400, 16405, 16404, 16402, 16395, 16403, 16395, 16405, 16399, 16399, 16399, 16399, 16399, 16395, 16402, 16399, 16399, 16399, 16399, 16399, 16395, 16400, 16582, 16459, 51985, 16446, 16451, 16720, 16399, 16400, 16395, 16401, 16404, 16399, 16395, 16400, 16404, 16399, 16395, 16400, 16407, 16395, 16402, 16399, 16581, 19345, 18484, 16581, 18388, 17484, 21673, 44418, 18179, 16581, 16400, 16405, 16404, 16403, 16395, 16403, 16395, 16408, 16399, 16399, 16399, 16399, 16399, 16395, 16407, 16399, 16399, 16399, 16399, 16399, 16395, 16400, 16582, 16459, 51985, 16446, 16451, 16720, 16399, 16400, 16395, 16401, 16404, 16399, 16395, 16400, 16404, 16399, 16395, 16400, 16407, 16395, 16402, 16399, 16581, 19345, 18484, 16581, 20018, 16826, 17094, 16799, 17100, 16718, 16452, 16581, 16400, 16405, 16404, 16404, 16395, 16401, 16395, 16408, 16399, 16399, 16399, 16399, 16399, 16395, 16407, 16399, 16399, 16399, 16399, 16399, 16395, 16400, 16582, 16459, 51985, 16446, 16451, 16720, 16399, 16400, 16395, 16401, 16404, 16399, 16395, 16400, 16404, 16399, 16395, 16400, 16407, 16395, 16402, 16399, 16581, 19345, 18484, 16581, 16426, 16962, 16959, 16687, 22032, 16730, 16581, 16400, 16405, 16404, 16405, 16395, 16401, 16395, 16408, 16399, 16399, 16399, 16399, 16399, 16395, 16407, 16399, 16399, 16399, 16399, 16399, 16395, 16400, 16582, 16459, 51985, 16446, 16451, 16720, 16399, 16400, 16395, 16401, 16404, 16399, 16395, 16400, 16404, 16399, 16395, 16400, 16407, 16395, 16402, 16399, 16581, 19345, 18484, 16581, 22579, 16865, 16683, 17119, 22119, 16581, 16400, 16405, 16404, 16406, 16395, 16401, 16395, 16405, 16399, 16399, 16399, 16399, 16399, 16395, 16402, 16399, 16399, 16399, 16399, 16399, 16395, 16400, 16582, 16459, 51985, 16446, 16451, 16720, 16399, 16400, 16395, 16404, 16399, 16395, 16400, 16404, 16399, 16395, 16400, 16400, 16395, 16402, 16404, 16581, 19345, 18484, 16581, 16420, 20226, 16716, 16746, 16719, 49592, 16581, 16400, 16405, 16404, 16401, 16395, 16400, 16395, 16405, 16399, 16399, 16399, 16399, 16399, 16395, 16402, 16399, 16399, 16399, 16399, 16399, 16395, 16400, 16582, 16459, 51985, 16446, 16451, 16720, 16399, 16400, 16395, 16404, 16399, 16395, 16400, 16404, 16399, 16395, 16400, 16400, 16395, 16402, 16404, 16581, 19345, 18484, 16581, 16438, 16675, 16749, 16449, 16856, 16700, 16791, 16581, 16400, 16405, 16404, 16402, 16395, 16403, 16395, 16408, 16399, 16399, 16399, 16399, 16399, 16395, 16407, 16399, 16399, 16399, 16399, 16399, 16395, 16400, 16582, 16459, 51985, 16446, 16451, 16720, 16399, 16400, 16395, 16404, 16399, 16395, 16400, 16404, 16399, 16395, 16400, 16400, 16395, 16402, 16404, 16581, 19345, 18484, 16581, 18388, 17484, 21673, 44418, 18179, 16581, 16400, 16405 ]
[ 0, 16400, 16397, 35453, 16604, 16474, 16386, 19810, 16400, 16396, 37410, 26647, 16396, 16399, 16407, 16396, 16399, 16399, 16400, 16404, 16408, 16476, 16582, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16582, 16582, 16431, 17175, 16723, 16396, 59277, 54203, 16604, 16391, 40778, 16392, 16704, 16641, 17362, 16396, 40861, 38908, 16721, 16704, 49272, 16809, 16647, 57885, 17043, 17873, 16673, 22833, 16723, 16734, 24518, 54203, 16397, 16999, 16704, 24305, 21627, 16715, 23295, 20760, 16395, 17789, 35692, 17447, 16395, 17223, 37098, 17160, 16941, 17407, 16395, 16674, 50902, 16397, 16772, 21748, 21454, 16673, 49000, 38908, 18379, 17362, 27401, 16395, 29038, 16395, 16674, 21911, 26343, 16604, 16443, 16442, 16442, 16415, 16417, 16400, 16396, 37410, 26647, 16396, 16399, 16407, 16396, 16399, 16399, 16400, 16404, 16408, 16444, 16443, 16444, 16397, 18523, 16395, 16647, 19251, 63919, 18960, 16674, 19062, 18846, 63919, 21452, 19739, 16671, 16977, 24838, 16786, 55833, 35692, 17447, 20776, 16647, 19617, 16673, 49000, 16941, 17407, 16715, 17231, 16672, 17223, 37098, 17160, 16941, 17407, 16785, 35692, 17447, 16604, 16443, 16442, 16442, 16415, 16417, 16401, 16396, 37410, 26647, 16396, 16399, 16407, 16396, 16399, 16399, 16400, 16404, 16408, 16444, 16395, 16442, 16415, 16417, 16402, 16396, 37410, 26647, 16396, 16399, 16407, 16396, 16399, 16399, 16400, 16404, 16408, 16444, 16443, 16444, 16397, 21414, 25365, 16807, 16992, 17366, 16671, 38917, 16647, 63919, 18960, 16785, 19251, 16647, 63919, 21452, 16395, 17789, 21544, 16673, 19001, 60011, 16785, 59999, 16671, 26148, 16647, 22570, 65251, 16395, 17274, 16741, 61489, 16472, 17006, 22363, 17700, 17500, 16604, 16443, 16442, 16442, 16415, 16417, 16403, 16396, 37410, 26647, 16396, 16399, 16407, 16396, 16399, 16399, 16400, 16404, 16408, 16444, 16395, 16442, 16415, 16417, 16404, 16396, 37410, 26647, 16396, 16399, 16407, 16396, 16399, 16399, 16400, 16404, 16408, 16444, 16443, 16444, 16395, 16667, 29485, 16465, 18302, 16604, 16443, 16442, 16442, 16415, 16417, 16405, 16396, 37410, 26647, 16396, 16399, 16407, 16396, 16399, 16399, 16400, 16404, 16408, 16444, 16443, 16444, 16395, 17045, 18302, 16604, 16443, 16442, 16442, 16415, 16417, 16406, 16396, 37410, 26647, 16396, 16399, 16407, 16396, 16399, 16399, 16400, 16404, 16408, 16444, 16443, 16444, 16395, 64204, 16604, 16443, 16442, 16442, 16415, 16417, 16407, 16396, 37410, 26647, 16396, 16399, 16407, 16396, 16399, 16399, 16400, 16404, 16408, 16444, 16443, 16444, 16395, 16674, 44459, 41531, 16604, 16443, 16442, 16442, 16415, 16417, 16408, 16396, 37410, 26647, 16396, 16399, 16407, 16396, 16399, 16399, 16400, 16404, 16408, 16444, 16443, 16444, 16397, 27903, 16395, 16647, 19938, 16673, 16647, 18082, 35731, 20249, 16709, 16647, 49000, 38908, 20189, 16674, 21454, 16807, 16992, 17204, 23954, 16809, 26086, 36611, 22658, 16397, 17544, 18185, 16395, 19001, 27287, 16673, 49000, 38908, 17747, 18998, 41376, 16809, 60011, 16785, 59999, 16807, 16992, 19074, 16604, 16443, 16442, 16442, 16415, 16417, 16400, 16399, 16396, 37410, 26647, 16396, 16399, 16407, 16396, 16399, 16399, 16400, 16404, 16408, 16444, 16443, 16444, 16397, 19214, 59999, 16395, 17274, 16741, 35981, 64204, 16395, 17114, 29885, 16671, 38917, 16647, 63919, 22570, 16395, 16850, 16977, 59999, 16395, 17274, 16741, 18840, 41572, 64204, 16395, 17490, 38917, 16647, 22570, 16674, 17027, 19031, 16647, 19183, 30929, 16673, 16647, 49000, 22570, 17434, 16671, 17823, 16641, 52374, 18551, 19278, 16604, 16443, 16442, 16442, 16415, 16417, 16400, 16399, 16396, 37410, 26647, 16396, 16399, 16407, 16396, 16399, 16399, 16400, 16404, 16408, 16444, 16443, 16444, 16397, 16772, 21454, 16673, 20873, 60011, 16395, 17274, 16741, 16647, 17398, 16983, 16674, 29843, 16675, 34064, 16673, 30131, 27426, 16655, 16964, 16395, 22499, 16647, 27287, 16674, 65251, 16673, 49000, 38908, 18082, 35731, 16674, 16395, 20781, 16395, 16647, 25989, 16673, 16647, 18551, 19059, 16604, 16443, 16442, 16442, 16415, 16417, 16408, 16396, 37410, 26647, 16396, 16399, 16407, 16396, 16399, 16399, 16400, 16404, 16408, 16444, 16443, 16444, 16397, 19214, 19831, 17027, 19074, 16721, 16667, 63351, 34251, 30737, 16647, 24261, 16673, 21290, 50060, 17605, 31028, 16672, 16647, 30641, 17873, 22570, 16395, 16674, 16721, 16604, 16393, 17932, 16462, 16393, 16671, 16604, 16393, 17932, 16462, 16393, 16604, 16391, 16393, 16462, 16393, 16395, 16393, 16462, 16393, 29084, 16392, 17605, 31028, 16958, 16922, 24797, 16604, 16443, 16442, 16442, 16415, 16417, 16400, 16400, 16396, 37410, 26647, 16396, 16399, 16407, 16396, 16399, 16399, 16400, 16404, 16408, 16444, 16443, 16444, 16397, 18523, 16395, 16986, 16872, 16992, 17028, 24632, 18077, 16931, 16647, 18865, 16673, 60011, 16671, 19031, 16785, 25909, 16647, 21844, 16673, 16604, 16393, 17932, 16462, 16393, 16398, 16393, 45438, 16393, 22570, 18583, 16785, 19335, 16673, 16647, 24284, 18567, 19689, 30448, 21454, 16673, 16647, 41376, 49000, 16941, 17407, 16397, 16582, 16582, 16853, 55304, 22999, 16673, 22833, 16723, 16872, 16604, 16393, 17932, 16462, 16393, 16674, 16604, 16393, 45438, 16393, 22741, 23557, 16673, 22570, 16734, 24518, 54203, 17131, 18244, 19527, 16395, 16850, 16647, 16604, 16393, 45438, 16393, 18583, 16872, 18846, 23441, 19283, 17032, 16647, 16604, 16393, 17932, 16462, 16393, 18583, 16397, 16772, 21057, 16673, 17142, 16604, 16393, 17932, 16462, 16393, 22741, 16674, 16917, 16604, 16393, 45438, 16393, 18583, 16672, 16667, 55304, 22999, 20698, 17120, 17474, 16671, 16641, 49000, 38908, 23858, 21187, 16604, 16393, 17932, 16462, 16393, 52933, 17644, 24648, 19318, 16604, 16443, 16442, 16442, 16415, 16417, 16401, 16396, 37410, 26647, 16396, 16399, 16407, 16396, 16399, 16399, 16400, 16404, 16408, 16444, 16443, 16444, 16397, 18523, 16395, 16672, 16647, 17650, 16673, 49000, 38908, 33319, 16395, 16991, 60011, 17120, 17190, 16922, 24518, 54203, 16785, 37183, 16723, 20815, 22833, 16723, 16604, 16393, 17932, 16462, 16393, 22741, 16671, 19031, 16647, 21844, 16673, 16604, 16393, 17932, 16462, 16393, 16398, 16393, 45438, 16393, 44231, 22741, 16604, 16443, 16442, 16442, 16415, 16417, 16400, 16401, 16396, 37410, 26647, 16396, 16399, 16407, 16396, 16399, 16399, 16400, 16404, 16408, 16444, 16443, 16444, 16395, 19868, 16671, 16922, 44465, 25201, 19318, 16785, 16922, 16819, 38807, 16665, 16604, 16393, 45438, 16393, 22741, 16767, 16647, 63919, 20041, 16395, 16944, 17123, 18187, 16652, 16647, 63919, 17005, 16674, 19031, 16647, 19532, 16396, 21587, 16661, 20157, 16673, 49028, 49000, 38908, 16397, 16582, 16582, 23097, 22077, 41531, 16843, 38917, 16647, 63919, 16673, 49000, 16941, 17407, 16395, 16742, 23679, 16647, 19629, 16673, 16660, 35151, 52933, 16870, 16604, 16391, 40134, 16391, 29158, 16392, 16477, 16401, 16477, 16392, 16395, 35981, 64204, 16604, 16391, 31094, 16477, 16401, 16477, 23934, 16477, 16402, 16477, 16392, 16395, 47293, 52933, 16870, 16604, 16391, 35737, 29158, 16392, 16395, 16674, 45480, 57537, 16604, 16391, 16391, 20260, 16477, 16402, 16477, 16418, 22312, 16392, 16477, 16401, 16477, 59771, 16392, 16671, 25909, 63919, 21452, 16674, 38917, 16647, 63919, 18960, 16673, 49000, 16941, 17407, 16397, 17999, 55403, 16758, 16647, 22635, 20189, 16673, 16647, 31469, 16396, 16861, 23512, 16895, 49000, 16941, 17407, 16395, 16742, 20888, 35605, 23764, 16604, 16445, 16400, 16402, 16445, 16418, 58548, 16671, 30645, 16647, 28073, 19696, 16397, 24229, 16395, 18230, 33319, 25013, 16673, 22077, 16396, 42669, 30641, 17873, 16673, 49000, 16941, 17407, 16763, 21270, 18138, 16709, 16647, 22635, 20189, 19335, 16674, 24838, 16905, 24646, 30139, 17404, 16604, 16391, 38212, 16422, 16392, 27164, 16397, 16582, 16582, 16401, 16397, 35703, 16674, 33486, 16604, 16474, 16386, 19810, 16401, 16396, 37410, 26647, 16396, 16399, 16407, 16396, 16399, 16399, 16400, 16404, 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, 16582, 16582, 16401, 16397, 16400, 16397, 35703, 16604, 16474, 16386, 19810, 16401, 29200, 16400, 16396, 37410, 26647, 16396, 16399, 16407, 16396, 16399, 16399, 16400, 16404, 16408, 16476, 16582, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16582, 16582, 16431, 17175, 16723, 16395, 24518, 54203, 16604, 16391, 16402, 16406, 16388, 16392, 16395, 24323, 16391, 29158, 16392, 16477, 16401, 16477, 16395, 24876, 16477, 16401, 16477, 23934, 16477, 16402, 16477, 16395, 23888, 29158, 16395, 16674, 16604, 16391, 20260, 16477, 16402, 16477, 16418, 22312, 16392, 16477, 16401, 16477, 59771, 16958, 21715, 16815, 50513, 16882, 16390, 16657, 35522, 37104, 16395, 30686, 16395, 19391, 16674, 16958, 17405, 20206, 17714, 18613, 55462, 16395, 16674, 16858, 16977, 30951, 16958, 23738, 23724, 16674, 21715, 16815, 30686, 35522, 37104, 16395, 30686, 16395, 19391, 16397, 16582, 16582, 16401, 16397, 16401, 16397, 60538, 16673, 49000, 18042, 17407, 16604, 16474, 16386, 19810, 16401, 29200, 16401, 16396, 37410, 26647, 16396, 16399, 16407, 16396, 16399, 16399, 16400, 16404, 16408, 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, 16853, 34251, 16396, 16861, 23512, 16895, 49000, 38908, 16763, 49272, 16809, 32895, 30641, 17873, 16734, 22833, 16723, 16674, 24518, 54203, 16767, 16641, 16669, 19992, 21844, 16673, 16604, 16400, 16409, 16401, 16397, 16401, 16395, 16674, 16647, 50591, 18636, 16673, 34251, 16763, 16604, 16405, 16388, 18138, 16709, 16647, 18804, 19027, 16673, 49000, 38908, 16397, 16875, 16647, 17092, 18586, 16395, 22833, 16723, 16763, 23590, 16672, 16641, 17314, 18310, 16734, 16917, 18848, 16673, 16647, 24518, 54203, 16674, 16917, 18848, 16673, 16647, 34251, 16397, 16772, 28262, 16763, 19988, 34871, 16671, 16604, 16406, 16399, 31694, 16418, 16395, 16674, 17177, 16647, 51885, 16763, 19678, 17021, 16397, 16772, 21452, 16673, 16647, 28262, 19800, 16671, 16604, 16408, 16399, 31694, 16418, 18443, 16671, 16647, 21338, 21047, 16809, 30641, 17873, 22570, 16674, 23622, 16767, 16604, 16408, 16402, 16396, 16396, 16408, 16404, 31694, 16418, 16715, 16604, 16400, 16678, 16397, 16875, 16647, 17711, 18586, 16395, 16647, 23063, 24518, 54203, 16674, 17142, 16681, 27922, 16673, 16647, 34251, 16958, 18973, 16671, 16647, 17314, 18310, 16674, 16647, 28262, 16763, 34871, 16671, 16604, 16408, 16399, 31694, 16418, 16674, 20589, 16767, 16721, 21452, 16715, 16604, 16399, 16397, 16404, 16678, 16397, 24229, 16395, 16647, 28262, 16763, 52104, 16671, 16604, 16403, 16399, 31694, 16418, 16671, 24998, 49000, 38908, 16397, 49000, 16941, 17407, 16734, 17476, 60011, 16958, 49272, 16734, 16647, 17396, 23914, 16397, 16582, 16582, 16401, 16397, 16402, 16397, 60538, 16673, 16739, 16697, 19875, 16604, 16474, 16386, 19810, 16401, 29200, 16402, 16396, 37410, 26647, 16396, 16399, 16407, 16396, 16399, 16399, 16400, 16404, 16408, 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, 16582, 16582, 28663, 16396, 29127, 58087, 19875, 16604, 16391, 16403, 16399, 16399, 25737, 32317, 16604, 16403, 16399, 16399, 25737, 32317, 16604, 16403, 16397, 16407, 25737, 16392, 16763, 21789, 16734, 16641, 18494, 17863, 23112, 65091, 16646, 16672, 16647, 20231, 16674, 17142, 17863, 23112, 65091, 16756, 16709, 16647, 17772, 16674, 21387, 17432, 24329, 20492, 23295, 23239, 16397, 16772, 20231, 17863, 23112, 65091, 16646, 16763, 45335, 16734, 16604, 16400, 16401, 16404, 16396, 16396, 16400, 16404, 16399, 16695, 16398, 16460, 16445, 16401, 16445, 38908, 16709, 17492, 18194, 16397, 24273, 22364, 16673, 17567, 16396, 29127, 58087, 19875, 16715, 17492, 34251, 16396, 16861, 23512, 16895, 38908, 16604, 16391, 25784, 18123, 16392, 16958, 18940, 16396, 16463, 19298, 17131, 16604, 16400, 16397, 16401, 25581, 16448, 16767, 16604, 16400, 16399, 16399, 16395, 16604, 16400, 16400, 16399, 16395, 16604, 16400, 16401, 16399, 16395, 16674, 16604, 16400, 16402, 16399, 31694, 16418, 16395, 22358, 16397, 16772, 18940, 16396, 22235, 17005, 16763, 16604, 16406, 17414, 16395, 17789, 16647, 17092, 16917, 22245, 16674, 16647, 17367, 16917, 22245, 16671, 22863, 16674, 16819, 18557, 16647, 20301, 16395, 22358, 16397, 16582, 16582, 16401, 16397, 16403, 16397, 36165, 17873, 16673, 49000, 18042, 17407, 16604, 16474, 16386, 19810, 16401, 29200, 16403, 16396, 37410, 26647, 16396, 16399, 16407, 16396, 16399, 16399, 16400, 16404, 16408, 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, 16582, 16582, 16853, 21173, 16604, 16391, 23786, 16396, 23508, 29222, 16392, 19014, 16673, 16941, 16723, 38908, 16763, 21487, 16672, 25828, 16734, 53910, 16428, 19749, 16759, 16403, 16403, 16401, 16405, 16396, 16399, 16400, 16397, 16772, 56142, 16673, 38908, 16763, 23975, 17655, 16641, 24467, 19645, 16759, 16437, 16396, 19311, 17701, 17070, 18104, 16604, 16391, 18759, 19093, 16420, 16426, 16396, 26062, 33808, 45023, 23813, 16395, 22911, 36106, 16395, 24636, 16395, 21119, 16392, 17655, 16604, 16405, 16400, 16443, 16386, 57737, 16734, 38882, 18960, 16673, 16604, 16400, 16399, 16399, 59372, 16397, 42817, 17005, 16763, 21365, 16741, 16647, 17005, 18472, 16815, 16647, 51841, 16673, 16647, 17709, 28890, 17065, 16647, 19748, 23523, 16604, 16391, 16400, 16402, 16404, 31694, 16418, 16392, 16671, 16647, 20227, 16673, 16647, 38908, 28170, 16725, 16604, 16391, 16791, 16642, 28931, 16641, 20220, 17014, 16641, 21543, 31104, 16763, 29068, 16815, 16647, 38908, 16392, 16397, 16582, 16582, 16401, 16397, 16404, 16397, 36165, 17873, 16673, 16647, 16739, 16697, 19875, 16604, 16474, 16386, 19810, 16401, 29200, 16404, 16396, 37410, 26647, 16396, 16399, 16407, 16396, 16399, 16399, 16400, 16404, 16408, 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 ]
[ 0, 38194, 16604, 16474, 16386, 16466, 16400, 16476, 16582, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16582, 16582, 18944, 16705, 24935, 16395, 39534, 16674, 42369, 16396, 18888, 61538, 56409, 18918, 20609, 23467, 16647, 28578, 16673, 38598, 24720, 16809, 22438, 40905, 16395, 30006, 16674, 30345, 28825, 16734, 19037, 16396, 16928, 16396, 21215, 16395, 16785, 19037, 16396, 42150, 16396, 21215, 25258, 16604, 16442, 16415, 16463, 16877, 16397, 16399, 16399, 16406, 16400, 16405, 16401, 16400, 16396, 16426, 17166, 16871, 16400, 16444, 16396, 16396, 16442, 16415, 16463, 16877, 16397, 16399, 16399, 16406, 16400, 16405, 16401, 16400, 16396, 16423, 32919, 16400, 16444, 16397, 16711, 17679, 16673, 36101, 16396, 16396, 28124, 16741, 18217, 17854, 16604, 16442, 16415, 16463, 16877, 16397, 16399, 16399, 16406, 16400, 16405, 16401, 16400, 16396, 44098, 23074, 16400, 16444, 16395, 16785, 17989, 16396, 21215, 28578, 16604, 16442, 16415, 16463, 16877, 16397, 16399, 16399, 16406, 16400, 16405, 16401, 16400, 16396, 16428, 18277, 16400, 16444, 16396, 16396, 29515, 16992, 22204, 16671, 16647, 42970, 16396, 16674, 16702, 20678, 16396, 33117, 16672, 19001, 25365, 16671, 21458, 51404, 29964, 20062, 28578, 16397, 18523, 16395, 19588, 29086, 16746, 17220, 18143, 17299, 16641, 20710, 16673, 28578, 16721, 16829, 16804, 21278, 16671, 16647, 33477, 17366, 16809, 16647, 28054, 20609, 16397, 18483, 18188, 16715, 16811, 16704, 16721, 16647, 26592, 31542, 16709, 20062, 25258, 16769, 50459, 16715, 50401, 16721, 20522, 16641, 28387, 18636, 16395, 16785, 17199, 16647, 17154, 17015, 16673, 16914, 17417, 23093, 16395, 16672, 16647, 19067, 16396, 21215, 18805, 16397, 16711, 18122, 28167, 16673, 18539, 16771, 54624, 20969, 17027, 17874, 27227, 16672, 16647, 19067, 16396, 21215, 18805, 16397, 18708, 21958, 50401, 17510, 16667, 20209, 18234, 16715, 18206, 17730, 16604, 16442, 16415, 16463, 16877, 16397, 16399, 16399, 16406, 16400, 16405, 16401, 16400, 16396, 16418, 25816, 32524, 16400, 16444, 16395, 16674, 20781, 16641, 17607, 30496, 20287, 16673, 16914, 29086, 51668, 16704, 19062, 16397, 31948, 16395, 17154, 20609, 16715, 21958, 25258, 17823, 17097, 33405, 16673, 50401, 16672, 16647, 19067, 16396, 21215, 18805, 16604, 16442, 16415, 16463, 16877, 16397, 16399, 16399, 16406, 16400, 16405, 16401, 16400, 16396, 22647, 17435, 16400, 16444, 16395, 16604, 16442, 16415, 16463, 16877, 16397, 16399, 16399, 16406, 16400, 16405, 16401, 16400, 16396, 26589, 16400, 16444, 16395, 16850, 17134, 16604, 16442, 16415, 16463, 16877, 16397, 16399, 16399, 16406, 16400, 16405, 16401, 16400, 16396, 31025, 17442, 30817, 16400, 16444, 16397, 16875, 18150, 16395, 16647, 19067, 16396, 21215, 18805, 16704, 16792, 65088, 16734, 16977, 62963, 16944, 23976, 25566, 16734, 16647, 54624, 16397, 17170, 18238, 16721, 17437, 20432, 19134, 16741, 17204, 16741, 39534, 26459, 16672, 16647, 18805, 16769, 18715, 16671, 16703, 50576, 17889, 16395, 16873, 16769, 18352, 31416, 23999, 20671, 16672, 20062, 28578, 16397, 16582, 16582, 16853, 18814, 16673, 21958, 25258, 16672, 20062, 28578, 16674, 16647, 23777, 16673, 30315, 43303, 16872, 30199, 20209, 17654, 16604, 16442, 16415, 16463, 16877, 16397, 16399, 16399, 16406, 16400, 16405, 16401, 16400, 16396, 26589, 16400, 16444, 16395, 16604, 16442, 16415, 16463, 16877, 16397, 16399, 16399, 16406, 16400, 16405, 16401, 16400, 16396, 27208, 17042, 16400, 16444, 16395, 17490, 18443, 16671, 18206, 54624, 52568, 17274, 16741, 57524, 23109, 16604, 16442, 16415, 16463, 16877, 16397, 16399, 16399, 16406, 16400, 16405, 16401, 16400, 16396, 19536, 20581, 16400, 16444, 16674, 19687, 24592, 22270, 24720, 16395, 16693, 16397, 16454, 16397, 21874, 39027, 20062, 16604, 16442, 16415, 16463, 16877, 16397, 16399, 16399, 16406, 16400, 16405, 16401, 16400, 16396, 16431, 36447, 22326, 16652, 16400, 16444, 16397, 46955, 16395, 16986, 16704, 16667, 24036, 21369, 17647, 18539, 18815, 29160, 16395, 16944, 16769, 18143, 35534, 18443, 16671, 16647, 50401, 16390, 19629, 16671, 17874, 19067, 28825, 16397, 25612, 16396, 46220, 21645, 38419, 16674, 51062, 18779, 17575, 16769, 17405, 16604, 16393, 16652, 26579, 16710, 16393, 16671, 19650, 21958, 29160, 16671, 23304, 16674, 48926, 21617, 16397, 17170, 16704, 18715, 16671, 19225, 19029, 16672, 16647, 25989, 16673, 21958, 21289, 16674, 16807, 16667, 19032, 16709, 29718, 32791, 16395, 17730, 16674, 20062, 16604, 16442, 16415, 16463, 16877, 16397, 16399, 16399, 16406, 16400, 16405, 16401, 16400, 16396, 16419, 16661, 16400, 16444, 16397, 61719, 38381, 16395, 16667, 44116, 33288, 54624, 16843, 16703, 20349, 43384, 16741, 16647, 19972, 16396, 26532, 17415, 25258, 16674, 30315, 43303, 19970, 16734, 23292, 16758, 50401, 16769, 21999, 16604, 16442, 16415, 16463, 16877, 16397, 16399, 16399, 16406, 16400, 16405, 16401, 16400, 16396, 34075, 16883, 16400, 16444, 16397, 17170, 16704, 17172, 16809, 23620, 16641, 19037, 16396, 16396, 21202, 16704, 16804, 19062, 16671, 16703, 23715, 16715, 54624, 25258, 16396, 16396, 17347, 54624, 27853, 18291, 16671, 16667, 63271, 21772, 22515, 16715, 16899, 17491, 16467, 37668, 19134, 16395, 16944, 16843, 17474, 16671, 16641, 19508, 25258, 16396, 49810, 43303, 18774, 16604, 16442, 16415, 16463, 16877, 16397, 16399, 16399, 16406, 16400, 16405, 16401, 16400, 16396, 16426, 16720, 17503, 16468, 16400, 16444, 16397, 16875, 17154, 19831, 16395, 18919, 16395, 16647, 18805, 23294, 19325, 16641, 37781, 17065, 16944, 16647, 54624, 27596, 16769, 32123, 16815, 30006, 28825, 16674, 16815, 16944, 16647, 36470, 54624, 20470, 17123, 16691, 16396, 23857, 40905, 28825, 16395, 17714, 26619, 23289, 16673, 16647, 19067, 16396, 21215, 28578, 16977, 17032, 16647, 33405, 18960, 16673, 16647, 54624, 16397, 16582, 16582, 17071, 17500, 16801, 23189, 26459, 16395, 17274, 16741, 21667, 16395, 29841, 17502, 16395, 19049, 16725, 16395, 16674, 33886, 16654, 17502, 34992, 16647, 21554, 16673, 39534, 18147, 16397, 17008, 17889, 49621, 16673, 17213, 26459, 16704, 16721, 16647, 28578, 16674, 26343, 16673, 18403, 27319, 17989, 39534, 23905, 16604, 16391, 16452, 16397, 16454, 16397, 16395, 21289, 16785, 18308, 18903, 16392, 16843, 24906, 21257, 16709, 16647, 25989, 16673, 17213, 23905, 16674, 16647, 20184, 16673, 17415, 16396, 44451, 26459, 16604, 16442, 16415, 16463, 16877, 16397, 16399, 16399, 16406, 16400, 16405, 16401, 16400, 16396, 19577, 52343, 18240, 16400, 16444, 16396, 16396, 16442, 16415, 16463, 16877, 16397, 16399, 16399, 16406, 16400, 16405, 16401, 16400, 16396, 16431, 23199, 16400, 16444, 16397, 16875, 18723, 16395, 18655, 17055, 16396, 58502, 17161, 20969, 26749, 16715, 33960, 20078, 16604, 16442, 16415, 16463, 16877, 16397, 16399, 16399, 16406, 16400, 16405, 16401, 16400, 16396, 16423, 16949, 30651, 16400, 16444, 16674, 16769, 28255, 16809, 54511, 16674, 48378, 16604, 16442, 16415, 16463, 16877, 16397, 16399, 16399, 16406, 16400, 16405, 16401, 16400, 16396, 20123, 16665, 16645, 16400, 16444, 16397, 17958, 16673, 17213, 17476, 39534, 26459, 16843, 19291, 16647, 24892, 16673, 50401, 16674, 16977, 40192, 20969, 16672, 16647, 18205, 16395, 28065, 30313, 16647, 53379, 16673, 24493, 52568, 16397, 23466, 16395, 20287, 16647, 18814, 16673, 39534, 26459, 16672, 16647, 19067, 16396, 21215, 18805, 16704, 18715, 16671, 16703, 16673, 17369, 22228, 16715, 43005, 16661, 27287, 18860, 16647, 28578, 16673, 17259, 44116, 33288, 24720, 17274, 16741, 16604, 16393, 16437, 16949, 32971, 57524, 23109, 16393, 16604, 16442, 16415, 16463, 16877, 16397, 16399, 16399, 16406, 16400, 16405, 16401, 16400, 16396, 17094, 50239, 16472, 16400, 16444, 16395, 17585, 16711, 16604, 16393, 44826, 16849, 17139, 17139, 16845, 16393, 16604, 16442, 16415, 16463, 16877, 16397, 16399, 16399, 16406, 16400, 16405, 16401, 16400, 16396, 19089, 16791, 16400, 16444, 16395, 16604, 16393, 17287, 16904, 22018, 16857, 17435, 16923, 16730, 63821, 16730, 16393, 16604, 16442, 16415, 16463, 16877, 16397, 16399, 16399, 16406, 16400, 16405, 16401, 16400, 16396, 64767, 53627, 16400, 16444, 16395, 16674, 16604, 16393, 22482, 16962, 17080, 52856, 21874, 16953, 16393, 16604, 16442, 16415, 16463, 16877, 16397, 16399, 16399, 16406, 16400, 16405, 16401, 16400, 16396, 16431, 36447, 22326, 16652, 16400, 16444, 16397, 16582, 16582, 17507, 22597, 16647, 28578, 16673, 16641, 18528, 16721, 35904, 21958, 18539, 16771, 54624, 16396, 16396, 21215, 28578, 16671, 18205, 28578, 19067, 16647, 19037, 16397, 19139, 16647, 17902, 21958, 18539, 16771, 54624, 16742, 17881, 16667, 44745, 16721, 16704, 17490, 16604, 16391, 16456, 16392, 17914, 16671, 17874, 16672, 16647, 18805, 16672, 16647, 25739, 16673, 28825, 16674, 16604, 16391, 19904, 16392, 25586, 40905, 28825, 16397, 26743, 16647, 54624, 16843, 25586, 16917, 16785, 18295, 19037, 20969, 16704, 16804, 17889, 16672, 16811, 19406, 18528, 16672, 16944, 16742, 18328, 16858, 16604, 16391, 61437, 17289, 17268, 16392, 28825, 18655, 16815, 16647, 50401, 22410, 16397, 16772, 18528, 21998, 40905, 16674, 30006, 28825, 16741, 16672, 16641, 28054, 42970, 16396, 24048, 16674, 16641, 23677, 18205, 16672, 16647, 19067, 16396, 21215, 18805, 16397, 18483, 16673, 16647, 31322, 16704, 16641, 54624, 16721, 16843, 17911, 16815, 16641, 19357, 19037, 16671, 16647, 18805, 16674, 20781, 16647, 19037, 17257, 16804, 18658, 16667, 39534, 16785, 38550, 19357, 17291, 16715, 16647, 54624, 16397, 17170, 16704, 23581, 16671, 16647, 18545, 30435, 16673, 16647, 21193, 16673, 16604, 16385, 17435, 16396, 21027, 49603, 30315, 43303, 16385, 16604, 16442, 16415, 16463, 16877, 16397, 16399, 16399, 16406, 16400, 16405, 16401, 16400, 16396, 39387, 16400, 16444, 16397, 23079, 16395, 16742, 22921, 16721, 16986, 16704, 16641, 19972, 16396, 18700, 17415, 30315, 43303, 16674, 21958, 23677, 19629, 16397, 17170, 30435, 17027, 43349, 16815, 16647, 34239, 17131, 17055, 16396, 21027, 49603, 30315, 43303, 21193, 16604, 16442, 16415, 16463, 16877, 16397, 16399, 16399, 16406, 16400, 16405, 16401, 16400, 16396, 39387, 16400, 16444, 16395, 17187, 22515, 26764, 16785, 22428, 17647, 19588, 26981, 19067, 16647, 19037, 16769, 34950, 24053, 16671, 16641, 50401, 19629, 16671, 19225, 29160, 16397, 20851, 16396, 37522, 19972, 16396, 26532, 16843, 21033, 30315, 43303, 17172, 16647, 19821, 21722, 16817, 16715, 22515, 26764, 16674, 29215, 16672, 16647, 19067, 16396, 20836, 16397, 19575, 16396, 21215, 28324, 18616, 18321, 21085, 16604, 16442, 16415, 16463, 16877, 16397, 16399, 16399, 16406, 16400, 16405, 16401, 16400, 16396, 16422, 17276, 16400, 16444, 16395, 16604, 16442, 16415, 16463, 16877, 16397, 16399, 16399, 16406, 16400, 16405, 16401, 16400, 16396, 16428, 64124, 16465, 21132, 16400, 16444, 16397, 16772, 20100, 16673, 16647, 25201, 17510, 16673, 16647, 25586, 19283, 19208, 16843, 20966, 18296, 19291, 16647, 18528, 28578, 16604, 16442, 16415, 16463, 16877, 16397, 16399, 16399, 16406, 16400, 16405, 16401, 16400, 16396, 16417, 17082, 16642, 16400, 16444, 16395, 16604, 16442, 16415, 16463, 16877, 16397, 16399, 16399, 16406, 16400, 16405, 16401, 16400, 16396, 25478, 22985, 16768, 16400, 16444, 16397, 17119, 22597, 17490, 25544, 16674, 29688, 16460, 47805, 24493, 18960, 16672, 19208, 16671, 54624, 24892, 16395, 16674, 22921, 16721, 16647, 30006, 28825, 16843, 18422, 25630, 17141, 16671, 16647, 40905, 17568, 16785, 17849, 16815, 16647, 20062, 16397, 16772, 29688, 16460, 47805, 25586, 19283, 19208, 45403, 26043, 16396, 16451, 32903, 16395, 17226, 16397, 16452, 16397, 16395, 23659, 16671, 54624, 52150, 19057, 16641, 18244, 17743, 16704, 26443, 16671, 19225, 16667, 24493, 16395, 16741, 21852, 16672, 17259, 29105, 25717, 16604, 16442, 16415, 16463, 16877, 16397, 16399, 16399, 16406, 16400, 16405, 16401, 16400, 16396, 16416, 19752, 16400, 16444, 16396, 16396, 16442, 16415, 16463, 16877, 16397, 16399, 16399, 16406, 16400, 16405, 16401, 16400, 16396, 25478, 52890, 16400, 16444, 16397, 16772, 18528, 20937, 16704, 33114, 16672, 16641, 25594, 18898, 16721, 16704, 18715, 16671, 19492, 23850, 44116, 20299, 18539, 16771, 20338, 16396, 17603, 16676, 19127, 16604, 16391, 16452, 16397, 16454, 16397, 16395, 28336, 16395, 37513, 24567, 16448, 16395, 16785, 54473, 16392, 16721, 25586, 18180, 16880, 16683, 17260, 28825, 28474, 16815, 18439, 16448, 16734, 19535, 19134, 20627, 16604, 16391, 16452, 16397, 16454, 16397, 16395, 32495, 16649, 19919, 16674, 39094, 16392, 16671, 18439, 16448, 16734, 19751, 19134, 20627, 16604, 16391, 16452, 16397, 16454, 16397, 16395, 41461, 17639, 17099, 16392, 16397, 16582, 16582, 16416, 29555, 20732, 16673, 16647, 18528, 16704, 16721, 25428, 41543, 20969, 58560, 16672, 16647, 19067, 16396, 21215, 18805, 16843, 17474, 16671, 16667, 39957, 40510, 16673, 20062, 52568, 16397, 17426, 16647, 25586, 19283, 19208, 16673, 16647, 54624, 16704, 16641, 29688, 16460, 47805, 17917, 16673, 54624, 24892, 16672, 16647, 18805, 16395, 56409, 18918, 28578, 16769, 25628, 16671, 16647, 27859, 16673, 23677, 42492, 16809, 16647, 19067, 16396, 21215, 18205, 16397, 18419, 25544, 25586, 19283, 19208, 16674, 54624, 19134, 16672, 16647, 18805, 17028, 20062, 52568, 16769, 21852, 16395, 17226, 16397, 16452, 16397, 19971, 28578, 20397, 24797, 16395, 16674, 54624, 16674, 19037, 52150, 16769, 22439, 61798, 16671, 37859, 16673, 25627, 16397, 21214, 29688, 16460, 47805, 25586, 19283, 16395, 23789, 16673, 23677, 20301, 16709, 16647, 54624, 16395, 18422, 18443, 16671, 19260, 16673, 25627, 16815, 16647, 19067, 16396, 21215, 18205, 16604, 16391, 16452, 16397, 16454, 16397, 16395, 18443, 16671, 17231, 16673, 51062, 18779, 17575, 16392, 16395, 16785, 19800, 19260, 18960, 16673, 16858, 20969, 16672, 16647, 19067, 16396, 21215, 18205, 16604, 16391, 16452, 16397, 16454, 16397, 16395, 18443, 16671, 19617, 16673, 17975, 16396, 27044, 38419, 16392, 16843, 17474, 16671, 45944, 20062, 52568, 16397, 16582, 16582, 41751, 16604, 16474, 16386, 16466, 16401, 16476, 16582, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16582, 16582, 16853, 59455, 18528, 16704, 16641, 22332, 16673, 16647, 28054, 42970, 16396, 16451, 17146, 16954, 28578, 16604, 16442, 16415, 16463, 16877, 16397, 16399, 16399, 16406, 16400, 16405, 16401, 16400, 16396, 16426, 17166, 16871, 16400, 16444, 16715, 28825, 16674, 16647, 32066, 19574, 16396, 16396, 28967, 16737, 16735, 21667, 18528, 16715, 16667, 19067, 16396, 21215, 18205, 16397, 16772, 40905, 16674, 30006, 28825, 16767, 17005, 16604, 16393, 16467, 16393, 16769, 54469 ]
[ 0, 16396, 16396, 16396, 16582, 38841, 16409, 16604, 16390, 17507, 17875, 17348, 16395, 16715, 16647, 17092, 17005, 16395, 16641, 16604, 16401, 16419, 18077, 16673, 16647, 17030, 54793, 35022, 51054, 25013, 16672, 17028, 20401, 60356, 16466, 16715, 16641, 19609, 18898, 16673, 18230, 38433, 16673, 16647, 22450, 26592, 16647, 17103, 16644, 17749, 38944, 16397, 34617, 33692, 23954, 16811, 25013, 17097, 16715, 23838, 25989, 18798, 17103, 16644, 17749, 16709, 17772, 16673, 23070, 27312, 16604, 16391, 16418, 16396, 16430, 16392, 19255, 39566, 21620, 16397, 21123, 16395, 17560, 16647, 64963, 16395, 33043, 16734, 23070, 46539, 16647, 31055, 27804, 20627, 32296, 16395, 16917, 17208, 18283, 18515, 18650, 46540, 16673, 16647, 16693, 17111, 16448, 16704, 18230, 17027, 16715, 16977, 26592, 38433, 16604, 16391, 17611, 16395, 16830, 16395, 18381, 16395, 48869, 16392, 16395, 28033, 16809, 37934, 23777, 20609, 16397, 17119, 41935, 18295, 17975, 16396, 38290, 19140, 16674, 17494, 18650, 24801, 16673, 17310, 26592, 21024, 16672, 16647, 16693, 43729, 31055, 22450, 16397, 26274, 18122, 22383, 16672, 20627, 16395, 17005, 33563, 16674, 37862, 17220, 17415, 16647, 19140, 16395, 17038, 18466, 17299, 16721, 16647, 35022, 51054, 16670, 16831, 16840, 16903, 25013, 48071, 18650, 46540, 16672, 16858, 17038, 17975, 16396, 38290, 19140, 16395, 17789, 16733, 44902, 46540, 16672, 51404, 34766, 20056, 16397, 16772, 18466, 16769, 23354, 16734, 28101, 16397, 16390, 16582, 18845, 16409, 55409, 16604, 16401, 16399, 16400, 16401, 18850, 16604, 16401, 16407, 16582, 23718, 16409, 16604, 16390, 18186, 16690, 51054, 17030, 54793, 33043, 16672, 37429, 60356, 16466, 16604, 16396, 16772, 34814, 16709, 16647, 25989, 16673, 16647, 26592, 19255, 50688, 16390, 16582, 16396, 16396, 16396, 16582, 16582, 16443, 16442, 24152, 22713, 16443, 16444, 16582, 16582, 16979, 16690, 16839, 16396, 35521, 64370, 17220, 16395, 24144, 19554, 16409, 27543, 16396, 40196, 20056, 16395, 41480, 16409, 16775, 17645, 18213, 16582, 16582, 38194, 16604, 16474, 16386, 16974, 16689, 16476, 16582, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16582, 16582, 42190, 16858, 28054, 16674, 51404, 34766, 20056, 16715, 16944, 25915, 33620, 18638, 22928, 18622, 17299, 46540, 16604, 16391, 47746, 16671, 23838, 25989, 16392, 16672, 21377, 21025, 16674, 16398, 16658, 16733, 44902, 16397, 16999, 16704, 17178, 24305, 23013, 16721, 16647, 19419, 16715, 17274, 46540, 16704, 16670, 16831, 16840, 16903, 16673, 18798, 16815, 16647, 26592, 19255, 50688, 16671, 16647, 17103, 16644, 17749, 38944, 16397, 16711, 17589, 27287, 16715, 17274, 33043, 16958, 21270, 16671, 21458, 16647, 28101, 16604, 16409, 38903, 16661, 16809, 16641, 39715, 22450, 16395, 16715, 16944, 39715, 17560, 16647, 17103, 18413, 16679, 21876, 31261, 16641, 22450, 16673, 23590, 27278, 18213, 16604, 16391, 16442, 16415, 47186, 16407, 16403, 16410, 16604, 16415, 16458, 16463, 16407, 16404, 16410, 16604, 16415, 17991, 25478, 16408, 16400, 16410, 16604, 16415, 17991, 25478, 16408, 16401, 16410, 16604, 16415, 52899, 16424, 16408, 16401, 16444, 16392, 16410, 38903, 16661, 16809, 48418, 42108, 29983, 16809, 33868, 29992, 17560, 16647, 17103, 18413, 16679, 21876, 16604, 16442, 16415, 46530, 16406, 16406, 16410, 16604, 16415, 19965, 16406, 16407, 16410, 16604, 16415, 30234, 16451, 16407, 16402, 16410, 16604, 16415, 21783, 16407, 16406, 16410, 16604, 16415, 17130, 16407, 16406, 16410, 16604, 16415, 17130, 16407, 16408, 16444, 16410, 38903, 16661, 16809, 48418, 32660, 27326, 24820, 16709, 16647, 19255, 50688, 20293, 16672, 16944, 16641, 62391, 24375, 17415, 18122, 16396, 24609, 48418, 30332, 16672, 16647, 17103, 16644, 17749, 38944, 16674, 32660, 27326, 16672, 16647, 19255, 50688, 16743, 16466, 21554, 16843, 37820, 33043, 16673, 21377, 21025, 17065, 16647, 38944, 16604, 16442, 16415, 45706, 17326, 16399, 16400, 16410, 16604, 16415, 52109, 16399, 16401, 16410, 16604, 16415, 29583, 16401, 16419, 16444, 16674, 19987, 16604, 16396, 38903, 16661, 16809, 17030, 54793, 16673, 16647, 35022, 51054, 19924, 17560, 16647, 64963, 19302, 16604, 16442, 16415, 17066, 16462, 16407, 16405, 16410, 16604, 16415, 16466, 18404, 16408, 16401, 16410, 16604, 16415, 36590, 16408, 16403, 16410, 16604, 16415, 21023, 16408, 16404, 16410, 16604, 16415, 21023, 16467, 16408, 16406, 16410, 16604, 16415, 64061, 16401, 16419, 16410, 16604, 16415, 64061, 16402, 16419, 16410, 16604, 16415, 21023, 16467, 16401, 16399, 16399, 16406, 16410, 16604, 16415, 42810, 16401, 16399, 16400, 16399, 16410, 16604, 16415, 42810, 16401, 16399, 16400, 16400, 16448, 16410, 16604, 16415, 42810, 16401, 16399, 16400, 16400, 16449, 16444, 16397, 16582, 16582, 17071, 16811, 16985, 16742, 18314, 16709, 16647, 17367, 16673, 17213, 27287, 16721, 25750, 22547, 16715, 16719, 16396, 16430, 19255, 39566, 21620, 16397, 38903, 16661, 16673, 23070, 16815, 16647, 26592, 22450, 21777, 46539, 16647, 31055, 27804, 18960, 16397, 16772, 28282, 27804, 18960, 27848, 18846, 35022, 51054, 34177, 16659, 16395, 59129, 16922, 33043, 16604, 16442, 16415, 21023, 16408, 16404, 16410, 16604, 16415, 21023, 16467, 16408, 16406, 16410, 16604, 16415, 21023, 16467, 16401, 16399, 16399, 16406, 16410, 16604, 16415, 42810, 16401, 16399, 16400, 16399, 16410, 16604, 16415, 42810, 16401, 16399, 16400, 16400, 16448, 16410, 16604, 16415, 42810, 16401, 16399, 16400, 16400, 16449, 16444, 16397, 23466, 16395, 16647, 17551, 16721, 16647, 26592, 22450, 16704, 21772, 16672, 16719, 16704, 16641, 20927, 20732, 16673, 16858, 16647, 17030, 54793, 35022, 51054, 20609, 16721, 16807, 16992, 28060, 16903, 16671, 16811, 16985, 16397, 21937, 16671, 16647, 21193, 16673, 37934, 23777, 16715, 18494, 22612, 16395, 16742, 17924, 16647, 25989, 16673, 16647, 26592, 19255, 50688, 16671, 16703, 16719, 16396, 16430, 16715, 32761, 16672, 16647, 18898, 16604, 16387, 16399, 16397, 16404, 16396, 16400, 16397, 16400, 16727, 16443, 31269, 16387, 16674, 16830, 22044, 16391, 64108, 16392, 16715, 16922, 22505, 19255, 39566, 21620, 16604, 16442, 16415, 16422, 16463, 16422, 16449, 16399, 16400, 16410, 16604, 16415, 19468, 16399, 16401, 16410, 16604, 16415, 16422, 16449, 16399, 16401, 16444, 16397, 38628, 16964, 17299, 46540, 16672, 16733, 44902, 16395, 16719, 27528, 16395, 18381, 16395, 48869, 16674, 42228, 21025, 16604, 16442, 16415, 16466, 16684, 16407, 16405, 16410, 16604, 16415, 23403, 19112, 16473, 16408, 16407, 16410, 16604, 16415, 23403, 19112, 16473, 16399, 16407, 16410, 16604, 16415, 16424, 17151, 16399, 16401, 16444, 16397, 17544, 51404, 34766, 20056, 16395, 16733, 44902, 46540, 16843, 20449, 19415, 16673, 16604, 16387, 16403, 16399, 16396, 16404, 16399, 16443, 16388, 16387, 16604, 16442, 16415, 24225, 16400, 16408, 16407, 16406, 16410, 16604, 16415, 45994, 16401, 16399, 16399, 16399, 16410, 16604, 16415, 16451, 31707, 16401, 16399, 16400, 16399, 16444, 16397, 19568, 16733, 44902, 27278, 18213, 16843, 19325, 16703, 22360, 16741, 16647, 50262, 16673, 31055, 27804, 17560, 16647, 64963, 16604, 16442, 16415, 16423, 17458, 22704, 16401, 16399, 16399, 16407, 16444, 16395, 16850, 16917, 16843, 16804, 40128, 16647, 23384, 16721, 16647, 19419, 16673, 17046, 46540, 16704, 16670, 16831, 16840, 16903, 16815, 16667, 26592, 16733, 44902, 22450, 16397, 17119, 20821, 17494, 16728, 22009, 16671, 18077, 17028, 20401, 60356, 16466, 16715, 16944, 16647, 25989, 16673, 16647, 26592, 22450, 16704, 17476, 16815, 16719, 16396, 16430, 16397, 16772, 20609, 23954, 17348, 25929, 16647, 16985, 16742, 24344, 16672, 16647, 18074, 16397, 17376, 16641, 17092, 18586, 16742, 18077, 17348, 16647, 64963, 16673, 16647, 17103, 16644, 17749, 31055, 22450, 16709, 17772, 16673, 16641, 18494, 19255, 50688, 16395, 21910, 17097, 17073, 25989, 16397, 26960, 16641, 22184, 19027, 16674, 34064, 16742, 16843, 24416, 16647, 18032, 16450, 18221, 16395, 35022, 51054, 19924, 16395, 37862, 17220, 16674, 16670, 16831, 16840, 16903, 16672, 16647, 17476, 19140, 16397, 16711, 16922, 24632, 18077, 16944, 35177, 16647, 19255, 50688, 16743, 16466, 19027, 16734, 38433, 16704, 17939, 16671, 18368, 16985, 16604, 16391, 23934, 16395, 16830, 22044, 16391, 64108, 16392, 16785, 17046, 21772, 16392, 16397, 16582, 16582, 16853, 17875, 18077, 16704, 20236, 16671, 16604, 16401, 16419, 23856, 18602, 45799, 41374, 16397, 16772, 17204, 18365, 22383, 17415, 16604, 16401, 16419, 16674, 16604, 16402, 16419, 40768, 30332, 16843, 24998, 41920, 16673, 17589, 16972, 16450, 16988, 16709, 17038, 18466, 16395, 16850, 16843, 16804, 17928, 16647, 18723, 25904, 16395, 16741, 18722, 19831, 20332, 23655, 21294, 17415, 16604, 16401, 16419, 16674, 16604, 16402, 16419, 35628, 16734, 19130, 16671, 30804, 35830, 16395, 20290, 21036, 22383, 42968, 16672, 16647, 18070, 20189, 16604, 16391, 16604, 16442, 16415, 42810, 16401, 16399, 16400, 16400, 16449, 16444, 16392, 16397, 17119, 20821, 19130, 17038, 17875, 18466, 16741, 16641, 17203, 20089, 17411, 16671, 16922, 30718, 16895, 16604, 16402, 16419, 35628, 16397, 16875, 16647, 17718, 19648, 16742, 23467, 16647, 21194, 16674, 16647, 27130, 16673, 16647, 35628, 16397, 16875, 26230, 25419, 16742, 23467, 16647, 18466, 16715, 17492, 20808, 25989, 16674, 17177, 53363, 17038, 32458, 16397, 16582, 16582, 54023, 16674, 20808, 41374, 16604, 16474, 16386, 39222, 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, 16582, 16582, 19315, 16647, 16604, 16401, 16419, 35628, 20905, 16672, 16811, 16985, 17298, 16815, 16641, 16604, 16400, 16419, 22960, 22844, 41374, 16395, 31291, 16673, 16641, 16604, 16387, 16400, 16397, 16400, 16403, 16406, 16727, 16443, 31269, 16387, 23593, 21554, 16734, 16667, 28405, 22450, 16673, 16604, 16387, 16477, 16400, 16399, 16445, 16474, 16396, 16403, 16476, 16443, 16395, 16474, 16443, 30993, 16474, 16428, 16446, 16474, 16443, 53680, 16476, 16476, 16476, 16387, 28414, 16673, 23593, 16395, 16830, 22044, 16391, 26605, 16392, 16785, 16733, 44902, 16395, 18745, 16671, 16647, 23954, 17843, 16741, 16742, 22360, 16672, 16647, 25651, 16397, 16772, 19170, 21554, 16763, 19789, 16741, 16641, 22960, 22844, 23593, 18139, 18134, 16721, 52104, 16809, 23777, 16671, 16647, 26109, 20854, 21452, 16604, 16391, 16387, 16401, 16443, 24360, 16400, 16399, 16445, 16406, 16604, 16474, 16443, 19226, 16908, 16476, 16387, 16392, 16397, 16772, 16604, 16400, 16419, 18528, 63313, 17655, 31172, 20197, 17060, 35923, 16674, 17257, 16804, 18379, 16998, 31778, 16715, 33043, 16767, 16647, 21387, 16673, 16647, 38944, 16397, 16772, 21554, 17103, 18413, 16659, 18798, 16734, 23838, 33620, 16674, 16647, 17103, 16644, 17749, 18798, 16704, 45070, 16674, 34871, 16397, 22483, 16647, 47256, 21452, 16767, 16647, 19300, 16673, 16647, 17103, 16644, 17749, 38944, 30864, 16641, 21452, 16673, 16604, 16387, 16408, 16443, 24360, 16400, 16399, 16445, 16406, 16604, 16474, 16443, 19226, 16908, 16476, 16387, 16395, 16647, 18456, 17103, 16644, 17749, 38944, 16604, 16387, 16402, 16397, 16403, 16443, 24360, 16400, 16399, 16445, 16474, 16396, 16404, 16476, 16443, 16395, 16474, 16443, 30993, 16474, 16428, 16446, 16474, 16443, 53680, 16476, 16476, 16476, 16387, 16674, 17154, 16673, 16647, 26592, 23836, 16604, 16387, 16403, 16397, 16406, 16443, 24360, 16400, 16399, 16445, 16474, 16396, 16404, 16476, 16443, 16395, 16474, 16443, 30993, 16474, 16428, 16446, 16474, 16443, 53680, 16476, 16476, 16476, 16387, 16604, 16395, 16769, 44997, 21396, 16641, 16604, 16401, 16419, 27679, 16395, 16674, 16647, 35628, 19072, 16671, 64963, 16674, 20371, 17655, 16647, 16604, 16401, 16419, 22960, 19484, 16965, 16436, 21078, 18013, 16396, 16401, 16419, 16604, 16442, 16415, 32970, 16408, 16402, 16444, 16397, 17170, 18804, 19027, 16673, 16604, 16387, 16407, 16397, 16400, 16443, 24360, 16400, 16399, 16445, 16474, 16396, 16404, 16476, 16443, 16395, 16474, 16443, 30993, 16474, 16428, 16446, 16474, 16443, 53680, 16476, 16476, 16476, 16387, 16704, 16691, 20906, 16741, 16647, 18804, 37589, 38944, 19027, 16397, 25453, 17396, 46769, 50642, 16672, 16647, 16604, 16400, 16419, 27679, 16674, 16672, 17073, 16604, 16401, 16419, 31501, 16395, 16647, 20609, 30245, 22960, 22844, 39691, 16395, 23874, 16671, 17607, 17032, 16917, 17015, 16672, 19709, 24658, 16397, 21123, 16647, 41374, 16769, 40768, 16395, 17975, 46769, 30736, 22539, 17460, 17238, 19988, 16815, 16647, 17785, 20011, 16396, 18700, 25477, 16673, 16647, 19484, 16395, 17714, 32728, 16998, 29155, 20808, 63293, 16397, 16582, 16582, 30200, 39768, 20184, 16673, 16647, 16604, 16401, 16419, 35628, 16769, 16741, 21983, 16397, 16772, 24296, 29438, 16704, 22184, 16395, 16734, 26511, 23020, 48278, 64505, 16397, 16772, 28405, 29438, 21983, 16647, 24023, 16673, 16647, 38944, 18625, 21483, 16673, 16647, 34820, 31172, 20197, 17060, 16396, 16420, 29376, 17060, 16604, 16391, 41144, 16392, 26311, 16396, 16427, 16750, 20197, 17060, 20328, 16673, 16647, 16965, 16436, 21078, 18013, 19484, 25743, 16647, 27804, 23349, 16673, 16647, 27679, 16767, 16647, 19300, 16673, 16647, 31055, 21772, 38944, 16769, 32909, 16799, 29376, 17060, 16397, 19253, 20184, 16769, 20905, 16672, 34550, 17326, 17605, 16813, 16397, 16604, 16391, 16401, 16399, 16399, 16404, 16395, 16604, 16401, 16399, 16399, 16406, 16392, 16397, 16772, 29636, 16673, 16647, 16711, 18732, 27679, 28434, 16907, 16671, 18528, 16647, 27804, 32205, 16767, 16647, 21387, 16673, 16647, 31055, 21772, 38944, 16734, 17238, 37986, 32205, 16672, 32478, 16673, 16647, 17498, 16396, 21282, 23807, 46769, 24023, 16673, 16647, 28405, 27440, 16397, 16772, 23850, 39768, 18155, 16767, 16647, 19300, 16673, 16647, 38944, 16395, 17187, 17154, 16673, 16647, 27804, 19198, 17617, 16395, 16704, 16641, 50291, 18155, 16734, 30369, 16673, 16931, 16604, 16387, 16604, 16400, 16397, 16403, 22751, 16604, 16443, 24360, 16604, 16400, 16397, 16403, 22751, 16604, 16387, 16604, 16397, 60412, 16661, 29438, 19527, 16769, 30701, 16767, 16647, 39180, 28847, 16673, 16647, 27679, 16397, 22668, 36789, 16704, 18711, 17065, 18375, 16741, 16641, 17411, 19419, 16734, 16647, 19027, 16673, 16647, 21554, 16395, 16674, 16647, 18171, 32660, 16673, 16647, 38944, 16704, 28465, 16397, 16772, 22570, 19278, 19497, 16604, 16400, 16404, 21025, 22009, 16715, 16647, 31055, 27804, 16672, 16647, 16719, 27528, 23093, 16395, 16728, 19497 ]
[ 0, 16385, 16434, 16990, 16644, 50164, 21616, 16395, 21810, 16397, 16385, 16604, 16385, 29901, 16397, 16385, 16604, 16385, 39374, 16728, 17262, 16986, 16397, 16385, 16604, 16385, 43514, 16903, 16397, 16385, 16604, 16385, 32879, 16684, 16647, 17378, 16397, 16385, 16604, 16385, 24470, 17473, 16397, 16385, 16604, 16385, 16687, 17727, 16390, 16467, 16829, 18530, 16395, 16947, 16397, 16385, 16604, 16385, 50447, 17028, 18153, 16395, 17240, 16959, 16676, 16397, 16385, 16604, 16385, 29361, 17090, 16448, 16397, 16385, 16604, 16385, 16702, 17525, 16397, 16385, 16604, 16385, 19524, 32616, 16395, 17009, 31598, 16397, 16385, 16604, 16385, 18105, 16390, 16466, 16903, 16734, 16721, 16395, 27930, 16448, 16414, 16385, 16604, 16385, 17507, 16390, 16644, 16994, 21910, 25741, 16397, 16385, 16604, 16385, 35723, 17011, 22287, 17178, 16397, 16385, 16604, 16385, 21566, 17011, 22287, 17178, 16414, 16385, 16604, 16385, 20019, 20577, 16397, 16385, 16604, 16385, 18388, 26150, 30674, 16390, 16466, 21712, 16732, 20002, 16414, 16385, 16604, 16385, 18388, 26150, 30674, 16390, 16466, 17771, 19175, 17203, 18860, 26307, 16395, 43029, 16414, 16385, 16604, 16385, 18001, 17921, 17107, 16687, 18047, 16397, 16385, 16604, 16385, 42151, 24368, 17909, 16700, 17236, 16390, 16466, 20632, 64276, 16397, 16385, 16604, 16385, 17887, 16980, 17038, 24256, 16763, 16672, 16986, 16414, 16385, 16604, 16385, 19488, 16728, 16390, 16466, 20254, 16397, 16385, 16604, 16385, 27064, 16395, 16742, 17497, 16641, 17563, 16673, 25452, 26268, 16903, 16672, 16721, 51940, 16397, 16385, 16604, 16385, 18001, 16390, 16644, 16859, 24946, 16931, 16912, 55308, 18048, 16732, 17121, 16390, 16467, 16969, 16728, 16397, 16385, 16604, 16385, 17635, 17120, 17671, 16903, 16667, 22012, 17065, 16700, 17236, 16390, 16466, 17598, 16397, 16385, 16604, 16385, 17991, 16742, 16390, 16644, 16804, 25809, 16395, 16858, 26031, 16769, 21848, 17474, 17141, 16671, 16907, 16397, 16385, 16604, 16385, 21010, 17393, 16700, 17236, 16397, 16385, 16604, 16385, 16424, 16390, 16683, 17391, 17534, 16673, 16811, 16397, 16385, 16604, 16385, 19412, 16390, 16466, 16994, 17322, 32087, 16397, 16385, 16604, 16385, 16424, 16390, 16683, 18784, 17348, 16674, 17261, 16397, 16385, 16604, 16385, 22414, 16687, 17704, 16715, 16912, 17261, 16414, 16385, 16604, 16385, 26858, 16397, 16385, 16604, 16385, 32781, 16395, 46695, 16397, 16385, 16604, 16385, 43595, 16687, 22768, 16647, 16742, 16652, 16855, 53498, 16397, 16385, 16604, 16385, 17887, 19668, 16414, 16385, 16604, 16385, 18388, 17768, 16397, 16385, 16604, 16385, 51534, 16709, 16647, 17092, 21100, 16397, 16385, 16604, 16385, 22127, 16647, 18456, 17617, 18167, 16903, 16397, 16385, 16604, 16385, 19537, 16958, 17914, 16671, 21349, 16721, 18022, 16414, 16385, 16604, 16385, 23915, 17436, 17280, 16647, 18970, 17727, 16390, 16467, 17590, 16671, 25642, 16728, 16397, 16385, 16604, 16385, 55731, 16843, 16891, 17141, 16397, 16385, 16604, 16385, 17887, 22632, 16732, 17348, 16414, 16385, 16604, 16385, 18101, 17843, 16397, 16385, 16604, 16385, 17507, 17494, 16647, 17396, 55367, 16741, 16647, 57490, 32697, 23133, 18604, 16397, 16385, 16604, 16385, 18260, 16742, 16807, 16641, 43826, 18352, 16414, 16385, 16604, 16385, 17673, 16390, 16466, 16804, 16858, 16742, 16807, 16397, 16385, 16604, 16385, 58316, 16414, 16385, 16604, 16385, 19068, 16721, 16641, 20806, 16414, 16385, 16604, 16385, 18485, 20001, 16397, 16385, 16604, 16385, 16424, 16390, 16460, 36649, 17285, 16647, 17009, 22404, 16816, 25311, 16397, 16385, 16604, 16385, 18388, 26150, 30674, 16397, 16385, 16604, 16385, 16424, 19296, 16887, 19384, 16671, 16641, 17589, 16673, 16888, 50022, 16397, 16385, 16604, 16385, 16424, 19769, 16873, 23525, 16390, 16467, 55958, 16761, 16397, 16385, 16604, 16385, 18388, 26150, 30674, 16390, 16466, 16887, 17843, 16397, 16385, 16604, 16385, 17611, 41983, 16641, 16604, 16400, 16401, 16396, 18673, 16396, 17082, 18697, 17367, 18097, 16671, 19492, 16647, 32697, 41509, 16397, 16385, 16604, 16385, 17046, 41983, 16641, 20806, 16414, 16385, 16604, 16385, 21127, 18405, 16390, 16467, 16733, 16672, 21792, 16809, 17178, 16414, 16385, 16604, 16385, 19079, 20172, 16390, 16466, 16819, 17435, 33674, 16397, 16385, 16604, 16385, 16424, 17133, 16733, 18200, 16968, 17141, 16671, 22729, 16397, 16385, 16604, 16385, 19084, 20978, 16395, 17028, 21167, 16397, 16385, 16604, 16385, 19907, 16961, 16733, 21016, 16811, 18843, 16414, 16385, 16604, 16385, 16687, 22969, 16671, 16991, 16673, 16647, 33494, 16397, 16385, 16604, 16385, 17409, 21438, 16647, 21892, 16704, 16641, 53591, 16830, 20875, 17253, 16397, 16385, 16604, 16385, 17611, 16390, 16466, 22502, 16922, 17032, 27431, 19331, 16397, 16385, 16604, 16385, 62447, 34954, 16397, 16385, 16604, 16385, 18388, 26150, 30674, 42343, 16891, 16888, 21667, 16674, 32111, 16848, 16641, 19906, 16397, 16385, 16604, 16385, 18418, 16674, 16887, 22789, 16390, 16683, 22010, 16811, 16397, 16385, 16604, 16385, 26858, 16395, 16687, 16390, 16460, 16994, 19813, 16732, 17624, 16397, 16385, 16604, 16385, 17635, 16704, 16887, 17843, 16397, 16385, 16604, 16385, 18001, 17134, 16721, 17687, 30195, 17596, 16734, 16887, 19384, 17020, 45372, 16671, 17073, 17693, 16414, 16385, 16604, 16385, 17635, 16704, 26242, 17373, 16397, 16397, 16397, 16385, 16604, 16385, 18103, 24020, 16397, 16385, 16604, 16385, 16687, 16390, 16460, 18022, 16709, 16728, 16397, 16385, 16604, 16385, 47495, 16395, 17723, 16848, 17299, 16732, 17536, 16397, 16385, 16604, 16385, 22164, 18188, 17818, 16647, 17142, 16673, 16732, 22976, 16390, 16467, 21940, 16903, 18226, 16414, 16385, 16604, 16385, 16424, 16994, 17133, 16728, 16961, 17190, 16922, 18870, 16980, 16687, 30101, 16811, 16709, 16887, 17304, 16397, 16385, 16604, 16385, 18001, 16390, 16644, 21848, 17134, 16991, 17936, 16673, 37112, 16674, 33545, 16732, 17727, 16390, 16467, 17039, 29900, 16397, 16397, 16397, 16385, 16604, 16385, 16732, 17590, 28492, 16848, 17021, 16811, 16397, 16385, 16604, 16385, 17332, 17490, 17137, 16728, 16397, 16385, 16604, 16385, 17409, 16390, 16466, 17703, 18010, 16715, 16647, 17142, 16673, 16732, 16397, 16385, 16604, 16385, 25269, 16728, 18226, 16397, 16385, 16604, 16385, 33729, 16397, 16385, 16604, 16385, 20407, 16397, 16385, 16604, 16385, 23915, 16448, 16395, 18262, 16397, 16385, 16604, 16385, 26453, 16647, 19783, 22902, 18786, 16397, 16385, 16604, 16385, 17389, 26150, 30674, 16397, 16385, 16604, 16385, 17887, 16390, 16466, 16811, 16931, 16414, 16385, 16604, 16385, 17409, 16390, 16466, 16858, 16931, 17652, 16395, 62381, 16397, 16385, 16604, 16385, 30572, 16709, 16395, 22789, 16397, 16385, 16604, 16385, 20201, 16390, 16466, 16854, 16715, 16641, 18623, 16397, 16385, 16604, 16385, 18001, 19241, 17107, 16397, 16385, 16604, 16385, 20201, 16390, 16466, 16854, 16397, 16385, 16604, 16385, 22409, 16958, 16732, 16397, 16397, 16397, 16385, 16604, 16385, 16687, 16763, 16734, 16991, 18659, 17014, 16647, 18970, 16763, 17280, 16397, 16385, 16604, 16385, 16424, 16390, 16683, 17882, 16732, 16914, 20737, 16397, 16385, 16604, 16385, 18001, 16674, 16912, 20172, 16769, 17065, 16641, 17563, 16673, 17578, 16397, 16385, 16604, 16385, 16739, 16706, 20000, 22163, 16395, 30129, 17160, 16816, 16748, 47226, 16397, 16385, 16604, 16385, 17933, 16395, 16687, 16390, 16460, 16804, 16945, 16887, 20172, 16397, 16385, 16604, 16385, 36983, 26994, 32861, 21588, 16395, 19164, 27656, 16397, 16385, 16604, 16385, 16424, 16390, 16460, 17240, 16922, 23042, 16672, 19741, 16734, 16641, 17203, 17547, 16671, 17337, 16397, 16385, 16604, 16385, 18111, 16641, 17687, 18697, 16671, 29126, 16397, 16385, 16604, 16385, 16424, 16807, 17028, 25514, 46064, 16397, 16385, 16604, 16385, 18971, 51463, 16769, 16672, 19303, 17970, 16397, 16385, 16604, 16385, 18377, 16769, 17028, 22163, 16395, 25532, 16785, 18048, 16672, 16647, 18287, 16397, 16385, 16604, 16385, 17991, 16732, 16390, 16644, 17274, 16641, 17203, 20367, 17177, 16732, 16829, 16741, 16687, 17335, 16397, 16385, 16604, 16385, 30126, 16903, 16912, 20307, 16674, 16969, 16709, 16647, 17718, 64836, 17141, 16671, 17616, 16397, 16385, 16604, 16385, 19084, 16397, 16385, 16604, 16385, 16424, 16994, 17497, 17348, 16397, 16385, 16604, 16385, 16424, 17137, 16671, 16703, 26340, 16715, 16641, 17437, 16395, 16678, 19932, 16414, 16385, 16604, 16385, 53786, 16397, 16385, 16604, 16385, 21386, 16732, 16843, 18784, 16767, 16887, 18287, 16715, 16641, 17687, 17437, 16397, 16385, 16604, 16385, 17887, 16390, 16466, 16647, 20705, 16414, 16385, 16604, 16385, 16424, 16390, 16683, 17133, 16673, 17536, 16709, 16647, 17210, 16397, 16385, 16604, 16385, 36119, 16673, 16732, 20002, 16804, 20472, 42740, 16414, 16385, 16604, 16385, 17635, 19475, 47744, 16395, 16888, 23949, 43846, 20545, 18355, 18469, 16397, 16385, 16604, 16385, 16424, 16390, 16460, 21712, 16728, 16672, 16397, 16385, 16604, 16385, 18105, 16390, 16466, 16903, 16734, 16721, 16395, 51563, 16414, 16385, 16604, 16385, 53655, 17441, 17301, 16767, 16647, 16759, 16397, 16428, 16397, 16437, 16397, 16414, 16385, 16604, 16385, 26042, 16395, 23740, 16397, 16385, 16604, 16385, 17635, 19475, 51563, 16395, 16947, 16397, 16385, 16604, 16385, 17611, 16390, 16466, 17497, 16667, 25514, 26483, 16715, 55248, 24314, 16397, 16385, 16604, 16385, 21519, 16397, 16385, 16604, 16385, 20505, 16742, 17497, 16732, 16715, 42184, 16661, 16641, 30490, 16645, 16397, 16385, 16604, 16385, 17544, 16887, 19819, 16395, 17262, 17718, 16671, 16912, 20172, 16397, 16385, 16604, 16385, 17960, 16687, 16969, 16641, 20600, 16414, 16385, 16604, 16385, 17635, 19475, 16390, 16466, 17497, 16641, 42363, 25938, 16395, 16850, 16888, 32147, 26097, 16390, 16466, 28957, 31579, 19791, 16397, 16385, 16604, 16385, 41771, 16888, 20172, 16395, 16733, 16390, 16466, 20967, 16397, 16385, 16604, 16385, 19084, 27113, 16859, 17963, 16397, 16385, 16604, 16385, 20353, 19571, 16397, 16385, 16604, 16385, 20119, 16395, 19571, 16397, 16385, 16604, 16385, 26165, 16732, 17820, 17038, 33937, 60489, 16414, 16385, 16604, 16385, 18747, 25192, 20983, 29824, 17413, 16397, 16385, 16604, 16385, 16427, 36577, 46911, 16656, 16397, 16385, 16604, 16385, 34926, 16397, 16385, 16604, 16385, 28772, 16397, 16385, 16604, 16385, 23494, 16917, 16414, 16385, 16604, 16385, 26042, 16397, 16385, 16604, 16385, 16853, 20172, 16673, 16721, 29185, 18982, 16397, 16385, 16604, 16385, 17991, 18248, 16395, 16733, 16390, 16466, 21312, 16397, 16385, 16604, 16385, 33899, 16397, 16385, 16604, 16385, 21519, 16395, 16687, 16390, 16460, 22331, 16397, 16385, 16604, 16385, 16424, 17727, 16390, 16467, 17881, 16671, 42732, 16397, 16385, 16604, 16385, 21519, 16395, 17204, 16395, 16804, 16767, 16858, 16397, 16385, 16604, 16385, 16424, 16763, 16994, 18884, 16721, 16397, 16397, 16397, 21224, 16742, 16969, 16811, 19475, 16709, 17536, 18118, 16395, 16647, 42184, 16661, 22834, 17660, 16390, 16467, 18262, 17107, 16397, 16385, 16604, 16385, 16424, 17039, 16397, 16385, 16604, 16385, 18473, 17257, 16733, 16397, 16385, 16604, 16385, 17507, 16807, 16671, 17393, 16647, 19475, 16929, 17280, 16647, 18970, 16395, 19244, 16728, 16671, 17389, 26150, 30674, 16397, 16397, 16397, 17177, 16969, 17107, 16715, 16647, 16918, 17768, 16397, 16385, 16604, 16385, 16424, 17137, 17107, 16715, 16922, 17032, 16721, 16397, 16385, 16604, 16385, 17507, 16390, 16683, 17298, 16734, 16647, 20255, 21892, 16397, 16385, 16604, 16385, 18001, 17039, 17187, 16687, 16843, 17393, 17107, 16414, 16385, 16604, 16385, 17933, 16397, 16385, 16604, 16385, 28469, 16414, 16385, 16604, 16385, 16390, 53894, 16728, 17851, 53591, 16830, 20875, 17253, 16704, 22958, 16741, 16917, 16673, 16912, 33915, 20391, 17575, 16397, 16385, 16604, 16385, 21519, 16395, 16700, 17236, 16397, 16385, 16604, 16385, 16424, 20204, 16390, 16467, 18215, 17107, 16672, 18355, 16397, 16385, 16604, 16385, 16853, 42531, 16830, 20875, 17253, 16414, 16385, 16604, 16385, 18867, 16390, 16466, 16888, 17446, 17830, 16414, 16385, 16604, 16385, 16424, 16390, 16683, 16969, 16647, 19189, 16891, 16397, 16385, 16604, 16385, 18418, 16795, 16902, 16395, 16687, 16390, 16683, 16807, 16887, 20002, 31115, 17285, 16647, 18970, 26567, 16397, 16385, 16604, 16385, 20353, 16397, 16385, 16604, 16385, 16424, 16390, 16451, 16945, 16671, 29729, 47495, 20881, 18578, 16709, 16811, 16397, 16385, 16604, 16385, 26753, 16397, 16385, 16604, 16385, 36840, 16907, 16641, 19489, 16671, 17966, 16397, 16385, 16604, 16385, 31800, 16395, 16687, 16763, 16994, 18767, 16671, 16969, 16732, 16397, 16385, 16604, 16385, 16711, 18329, 18952, 16872, 16994, 16992, 19999, 16397, 16385, 16604, 16385, 21401, 16414, 16385, 16604, 16385, 16424, 17121, 16390, 16467, 16807, 16858, 16647, 20184, 16395, 16850, 16687, 16390, 16460, 17811, 16912, 17047, 16868, 17137, 16732, 17285, 16986, 16397, 16385, 16604, 16385, 28140, 16395, 16732, 16390, 16690, 17820, 35743, 16855, 46911, 16656, 16414, 16385, 16604, 16385, 19525, 18067, 16397, 16385, 16604, 16385, 17507, 16390, 16690, 17497, 16641, 18329, 18952, 19999, 16767, 37695, 16645, 16674, 29179, 16656, 16397, 16385, 16604, 16385, 16424, 17109, 16732, 17285, 16986, 17262, 17915, 16397, 16385, 16604, 16385, 35743, 16855, 16390, 16466, 21848, 22540, 18184, 16397, 16385, 16604, 16385, 20407, 16397, 16385, 16604, 16385, 24553, 16732, 16395, 16804, 16647, 18329, 18952, 16397, 16385, 16604, 16385, 18260, 16742, 17039, 16929, 16647, 20978, 16704, 16414, 16385, 16604, 16385, 50240, 16395, 16804, 18352, 16397, 16385, 16604, 16385, 33061, 16397, 16385, 16604, 16385, 18001, 20008, 16414, 16385, 16604, 16385, 20201, 16390, 16466, 16854, 16397, 16385, 16604, 16385, 50240, 16395, 16687, 16385, 16604, 16385, 16424, 19769, 16859, 16397, 16385, 16604, 16385, 18001, 16807, 16641, 21032, 16734, 16647, 20632, 34954, 20040, 17617, 16994, 17497, 42420, 17285, 16414, 16385, 16604, 16385, 21366, 16397, 16385, 16604, 16385, 20437, 17996, 16397, 16385, 16604, 16385, 16424, 18666, 16732, 16980, 16986, 16763, 16998, 18188, 16804, 16671, 18595, 46779, 20983, 17065, 16811, 16397, 16385, 16604, 16385, 27064, 16395, 16732, 16390, 16644, 16647, 33265, 16397, 16385, 16604, 16385, 33786, 16671, 17337, 17415, 16647, 55308, 20329, 16397, 16385, 16604, 16385, 16424, 18151, 16732, 16687, 18612, 16671, 22010, 16811, 17792, 19110, 16397, 16385, 16604, 16385, 18105, 17257, 16811, 17881, 16715, 16907, 16414, 16385, 16604, 16385, 17409, 16994, 18238, 16687, 16390, 16683, 16807, 16671, 16703, 25809, 16397, 16385, 16604, 16385, 16435, 17236, 16390, 16466, 35098, 18229 ]
[ 0, 41659, 19028, 16647, 48837, 16985, 16673, 38080, 48439, 16604, 16393, 16688, 16813, 16397, 16393, 16442, 16415, 16449, 16400, 16444, 16395, 47114, 17523, 16395, 55649, 18218, 16674, 18783, 26924, 16807, 56437, 16647, 18171, 16396, 59466, 16673, 19006, 16396, 24244, 17502, 19318, 17065, 38366, 16466, 16741, 16667, 19687, 24592, 17650, 62289, 16815, 19406, 24375, 20248, 16767, 16647, 18403, 17743, 16442, 16415, 16449, 16401, 16444, 16442, 16415, 16449, 16402, 16444, 16442, 16415, 16449, 16403, 16444, 16397, 17170, 18479, 16872, 16992, 22148, 16809, 35605, 41237, 19335, 16672, 22270, 19318, 16442, 16415, 16449, 16404, 16444, 16442, 16415, 16449, 16405, 16444, 16442, 16415, 16449, 16406, 16444, 16395, 18226, 16734, 16641, 23587, 17679, 16673, 35131, 16674, 30496, 20609, 16442, 16415, 16449, 16402, 16444, 16442, 16415, 16449, 16403, 16444, 16395, 16674, 16922, 19193, 16809, 16647, 28101, 16673, 38366, 16661, 25604, 16672, 16901, 65119, 16673, 17975, 16396, 47065, 18614, 16967, 27596, 17274, 16741, 52806, 41118, 16395, 20432, 19094, 29302, 16395, 16674, 55708, 16673, 25069, 21930, 31001, 16674, 27732, 43873, 16442, 16415, 16449, 16407, 16444, 16442, 16415, 16449, 16408, 16444, 16442, 16415, 16449, 16400, 16399, 16444, 16442, 16415, 16449, 16400, 16400, 16444, 16442, 16415, 16449, 16400, 16401, 16444, 16397, 19912, 16641, 61441, 16443, 16390, 16466, 22410, 16395, 17213, 19001, 19258, 16769, 19570, 16741, 17476, 28873, 16673, 27944, 20432, 18798, 16395, 16944, 48598, 16998, 38195, 16673, 18614, 16967, 23653, 63149, 16734, 18070, 30736, 16396, 16396, 16666, 23683, 26459, 16397, 16772, 17788, 41257, 16715, 38366, 16661, 28792, 16704, 16647, 18211, 16397, 35435, 27596, 16769, 35534, 21179, 18623, 16756, 16395, 16944, 17014, 26022, 17406, 17510, 16641, 51361, 42089, 35911, 20074, 16397, 33269, 20209, 24892, 16395, 27599, 22846, 48092, 16672, 16647, 17510, 16673, 28231, 18602, 44239, 18136, 30038, 16721, 17123, 31900, 16672, 16641, 21964, 16673, 32965, 20069, 27596, 16410, 18613, 20209, 24892, 16395, 16641, 51361, 27944, 23764, 21497, 16674, 60480, 30332, 18184, 16641, 17204, 16396, 24071, 20715, 16442, 16415, 16449, 16400, 16444, 16442, 16415, 16449, 16400, 16402, 16444, 16442, 16415, 16449, 16400, 16403, 16444, 16397, 17170, 20488, 16704, 16647, 24637, 16673, 25717, 16395, 35628, 16674, 29010, 21187, 20888, 16672, 16819, 16449, 23967, 16785, 40022, 35057, 16397, 16582, 16582, 43159, 16811, 20488, 16395, 18650, 19761, 16872, 16992, 30375, 17030, 16647, 17367, 18514, 17202, 16671, 39196, 20432, 18798, 16442, 16415, 16449, 16402, 16444, 16442, 16415, 16449, 16400, 16401, 16444, 16442, 16415, 16449, 16400, 16404, 16444, 16442, 16415, 16449, 16400, 16405, 16444, 16442, 16415, 16449, 16400, 16406, 16444, 16442, 16415, 16449, 16400, 16407, 16444, 16442, 16415, 16449, 16400, 16408, 16444, 16442, 16415, 16449, 16401, 16399, 16444, 16442, 16415, 16449, 16401, 16400, 16444, 16442, 16415, 16449, 16401, 16401, 16444, 16442, 16415, 16449, 16401, 16402, 16444, 16442, 16415, 16449, 16401, 16403, 16444, 16442, 16415, 16449, 16401, 16404, 16444, 16442, 16415, 16449, 16401, 16405, 16444, 16397, 24806, 17516, 20432, 27596, 16807, 27502, 16395, 18352, 16804, 47454, 16395, 16992, 19074, 16671, 18171, 16396, 24244, 17356, 17065, 58013, 16396, 19064, 23820, 16397, 18523, 16395, 22922, 16715, 17038, 20287, 16673, 38366, 16661, 16395, 16742, 16769, 17363, 32455, 16641, 41894, 20488, 16671, 18375, 16715, 16647, 40510, 16674, 20189, 16673, 17274, 58013, 24294, 16397, 17170, 19580, 16704, 21187, 18443, 16671, 16647, 20169, 25627, 16672, 16647, 19927, 16674, 30653, 18012, 16673, 16647, 26459, 17415, 16647, 20432, 27596, 16721, 16807, 16992, 61732, 16928, 19570, 16397, 18260, 20432, 16776, 16800, 17308, 18622, 17097, 16672, 31471, 16396, 20658, 19258, 16741, 16672, 16647, 17843, 16673, 36011, 21346, 22584, 16442, 16415, 16449, 16400, 16406, 16444, 16395, 16944, 21153, 16811, 20104, 17970, 16674, 20064, 58298, 53198, 28578, 16442, 16415, 16449, 16401, 16406, 16444, 17014, 16819, 25974, 17516, 16414, 17887, 16769, 16647, 19865, 26459, 19062, 16671, 29729, 16674, 16398, 16658, 29198, 16660, 20406, 16662, 16870, 44117, 18136, 42621, 19619, 16673, 20432, 18798, 16414, 16582, 16582, 17071, 16811, 19420, 16395, 16742, 19481, 17213, 19126, 16809, 22438, 16647, 19032, 16673, 56512, 22700, 28847, 16709, 16647, 27599, 25604, 16673, 18614, 16967, 27596, 63149, 16734, 30736, 16396, 16396, 16666, 23683, 26459, 16397, 34882, 17806, 35605, 25717, 16709, 18614, 16967, 19094, 29302, 16395, 35131, 35628, 16674, 36611, 21193, 16395, 16742, 55403, 16758, 16647, 21876, 25604, 16673, 16604, 16393, 57094, 16393, 20432, 18798, 60448, 16809, 56512, 22700, 28847, 16397, 17119, 17231, 19094, 47805, 20829, 16756, 16395, 16944, 16395, 22922, 17154, 16673, 16647, 18125, 26987, 18171, 16396, 17491, 37902, 23653, 16395, 25566, 19565, 17204, 16396, 45613, 59455, 26459, 16442, 16415, 16449, 16400, 16400, 16444, 16397, 17119, 17092, 38165, 16811, 19857, 18528, 17434, 16671, 17299, 16721, 18568, 16641, 20927, 24734, 27319, 16673, 18614, 16967, 19094, 29302, 35269, 16641, 17975, 16396, 18835, 36436, 21876, 23052, 16815, 16667, 42089, 35911, 16695, 16954, 16906, 17731, 16671, 16641, 20318, 23951, 17731, 17187, 16647, 18734, 19971, 18171, 16396, 24244, 20847, 17065, 16641, 18494, 56484, 38941, 41256, 58013, 16397, 17170, 18171, 16396, 59466, 16704, 16604, 16393, 18060, 16393, 16647, 30908, 16673, 16647, 31471, 17434, 19101, 16397, 31238, 16395, 16811, 19687, 24592, 58013, 16704, 16641, 25092, 17731, 16673, 27944, 20432, 18798, 26490, 16709, 16647, 48312, 16673, 16641, 35643, 39546, 21876, 29620, 16397, 17170, 20318, 17731, 16704, 16647, 17097, 23951, 21876, 17494, 17014, 16819, 16699, 29952, 16666, 23809, 22846, 16704, 33418, 18076, 16809, 52440, 42089, 35911, 28847, 16397, 17119, 17177, 26157, 50099, 16721, 16641, 21667, 17415, 34912, 16395, 17573, 41293, 26459, 16674, 54484, 16704, 19865, 16671, 24998, 18122, 16396, 24609, 16776, 16800, 16956, 22846, 16672, 16901, 65119, 16673, 18614, 16967, 27596, 40192, 19565, 34912, 26459, 16395, 28065, 32900, 16647, 37024, 16673, 17038, 23806, 16671, 16641, 20240, 17568, 16673, 20432, 21024, 16397, 16582, 16582, 32271, 16582, 16412, 16412, 16412, 16412, 16412, 16412, 16412, 16582, 16582, 33962, 21972, 16582, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16396, 16582, 16582, 16853, 26182, 27130, 16704, 20519, 20101, 16672, 16647, 16604, 16393, 41751, 16393, 19648, 16674, 16672, 16604, 16442, 24001, 16397, 16604, 16400, 16448, 16395, 16449, 16444, 16391, 16386, 16453, 16400, 16392, 16474, 18452, 16396, 18926, 16412, 16385, 19327, 16385, 16476, 16397, 36797, 16697, 16395, 16742, 17231, 19094, 47805, 20829, 16756, 32916, 16809, 16647, 18917, 21027, 16749, 18071, 18984, 16701, 16725, 25013, 16741, 31339, 22360, 16672, 17627, 16397, 16604, 16442, 16415, 16449, 16400, 16400, 16444, 16397, 17008, 21137, 18676, 16604, 16393, 16393, 16420, 16393, 16393, 16477, 16393, 16393, 16399, 16393, 16393, 16477, 16704, 21627, 16671, 53967, 19094, 47805, 48105, 51396, 16672, 16641, 31590, 25727, 16397, 45456, 16641, 20927, 18676, 40686, 16604, 16393, 16420, 16393, 16477, 16432, 16477, 16395, 16647, 40112, 16673, 16647, 21137, 20705, 21559, 16767, 16647, 16703, 16705, 20293, 16704, 60480, 22423, 16397, 17376, 16641, 17539, 16395, 16641, 18284, 21137, 41888, 24046, 16709, 16647, 48105, 24500, 17007, 16671, 44639, 16767, 16641, 22551, 18960, 17473, 16641, 21179, 29722, 54035, 16671, 16647, 21137, 18676, 16442, 16415, 16449, 16401, 16407, 16444, 16442, 16415, 16449, 16401, 16408, 16444, 16442, 16415, 16449, 16402, 16399, 16444, 16397, 18196, 16647, 19094, 29302, 43885, 16395, 16785, 16769, 57111, 16779, 38381, 24613, 16395, 21396, 16917, 16673, 16647, 17142, 43267, 16395, 29992, 16704, 29387, 17065, 16641, 18284, 28200, 22846, 18184, 16641, 21179, 20715, 16397, 20195, 16395, 16742, 17231, 20932, 16391, 39101, 29754, 59171, 29995, 16392, 16604, 16391, 22931, 21423, 16392, 54306, 16673, 34064, 16604, 16393, 16448, 16393, 16412, 16401, 16397, 16403, 20464, 23944, 16460, 51396, 16672, 16641, 38220, 17077, 16450, 17716, 20075, 16397, 16582, 16582, 17894, 45761, 17909, 16672, 16604, 16442, 24001, 16397, 16604, 16400, 16448, 16444, 16391, 16386, 16453, 16400, 16392, 16474, 18452, 16396, 18926, 16412, 16385, 19327, 16385, 16476, 16395, 16647, 19094, 29302, 16769, 30101, 16674, 21852, 16672, 16641, 20338, 56717, 16675, 19729, 17366, 16673, 20639, 16396, 43710, 17184, 16701, 16717, 27961, 16674, 16673, 17142, 21543, 38022, 45335, 16734, 16667, 17193, 17997, 16396, 46753, 16396, 39998, 22450, 16397, 16772, 21359, 16430, 27440, 16769, 17405, 16671, 20746, 16641, 25182, 23675, 18676, 16672, 16647, 16604, 16393, 16473, 16393, 16396, 42378, 16395, 16734, 16604, 16393, 16420, 16393, 16477, 16399, 16477, 16412, 16400, 16397, 16405, 20464, 16437, 20464, 23944, 16460, 16445, 25296, 16400, 16445, 16604, 16391, 16393, 16420, 16393, 16477, 16399, 16477, 16412, 16400, 16397, 16400, 16393, 16420, 16393, 16477, 16432, 16477, 16392, 16397, 32951, 20335, 16395, 16647, 21137, 17788, 16704, 17975, 33575, 29885, 16672, 16641, 18765, 16396, 34830, 28694, 16767, 16647, 23001, 16673, 16647, 17736, 22351, 16397, 17376, 32686, 17886, 16809, 16647, 62005, 19628, 16672, 16604, 16442, 24001, 16397, 16604, 16400, 16449, 16444, 16391, 16386, 16453, 16400, 16392, 16474, 18452, 16396, 18926, 16412, 16385, 19327, 16385, 16476, 16674, 16672, 16604, 16442, 48753, 30357, 16604, 16400, 16444, 16391, 16386, 16434, 16400, 16392, 16474, 18452, 16396, 18926, 16412, 16385, 25567, 28783, 16396, 42287, 16385, 16476, 16395, 18917, 21027, 16749, 29992, 16704, 27626, 60448, 16671, 16811, 34679, 19599, 16672, 16944, 16647, 20829, 16756, 16769, 33432, 16397, 17119, 27626, 47699, 47132, 16647, 27599, 28578, 16673, 16647, 37649, 19971, 16715, 20209, 19795, 16673, 16647, 19094, 17819, 40085, 28697, 16604, 16393, 33147, 16393, 16477, 16399, 16477, 16397, 16582, 16582, 48168, 18171, 16396, 27819, 35129, 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, 18264, 18124, 50598, 21677, 17032, 16604, 16395, 16647, 38195, 16673, 20829, 16756, 52465, 34157, 16647, 34679, 54484, 16741, 30457, 16809, 16647, 22415, 23487, 16673, 16647, 18070, 40085, 28697, 39261, 18184, 16647, 28559, 16706, 17454, 16666, 20715, 16604, 16393, 33147, 16393, 16391, 16393, 16465, 16393, 16392, 16672, 16604, 16442, 24001, 16397, 16604, 16401, 16448, 16444, 16391, 16386, 16453, 16401, 16392, 16474, 18452, 16396, 18926, 16412, 16385, 19327, 16385, 16476, 16397, 16772, 20829, 16756, 35269, 22560, 16658, 21670, 35534, 21179, 28526, 16741, 25402, 16672, 16604, 16442, 24001, 16397, 16604, 16401, 16449, 16395, 16450, 16444, 16391, 16386, 16453, 16401, 16392, 16474, 18452, 16396, 18926, 16412, 16385, 19327, 16385, 16476, 16397, 16772, 27505, 21559, 16673, 16647, 37649, 64556, 16704, 42089, 35911, 16674, 40953, 53353, 16709, 16647, 23850, 20017, 16604, 16393, 16469, 16393, 16477, 16399, 16477, 16412, 16403, 16408, 16402, 31334, 16400, 16406, 20464, 23944, 16460, 20464, 16466, 16445, 25296, 16400, 16445, 16397, 16875, 18150, 16395, 16647, 30736, 18251, 17139, 16658, 43930, 17917, 17382, 16975, 52855, 16767, 18187, 17005, 16741, 19272, 16815, 16641, 19406, 18528, 16673, 18171, 16396, 17491, 37902, 27596, 17961, 16641, 22551, 20017, 16604, 16393, 16469, 16393, 16477, 16399, 16477, 16674, 38835, 57894, 39715, 16734, 16641, 57894, 24748, 16730, 19283, 16604, 16393, 16419, 16393, 16445, 25296, 16400, 16445, 16412, 16399, 16397, 16402, 16400, 31334, 16399, 16397, 16399, 16401, 20464, 16466, 16721, 26431, 23825, 16709, 16647, 18124, 28697, 16604, 16391, 19914, 16604, 16442, 48753, 24695, 16604, 16400, 16444, 16391, 16386, 16434, 16400, 16392, 16474, 18452, 16396, 18926, 16412, 16385, 25567, 28783, 16396, 42287, 16385, 16476, 16392, 16397, 18708, 35830, 21278, 16671, 16641, 48988, 20570, 16673, 16721, 16704, 16931, 16641, 23411, 21677, 17032, 16647, 54484, 34064, 16604, 16393, 16433, 16393, 16477, 16450, 16477, 17405, 16672, 17038, 25717, 16409, 16604, 16399, 16397, 16408, 20464, 19932, 16443, 16411, 16393, 16433, 16393, 16477, 16450, 16477, 16443, 16411, 16400, 16397, 16407, 20464, 19932, 16397, 16582, 16582, 19231, 17301, 17005, 16395, 17172, 16673, 16647, 52648, 16709, 16647, 18765, 29438, 16395, 16647, 30736, 18251, 17139, 16658, 43930, 17917, 40953, 29092, 16671, 16604, 16399, 16741, 18215, 16672, 16604, 16442, 24001, 16397, 16604, 16401, 16450, 16444, 16391, 16386, 16453, 16401, 16392, 16474, 18452, 16396, 18926, 16412, 16385, 19327, 16385, 16476, 16397, 32594, 28716, 19487, 16442, 16415, 16449, 16401, 16405, 16444, 16442, 16415, 16449, 16402, 16400, 16444, 16395, 18171, 16396, 17491, 37902, 41118, 16442, 16415, 16449, 16407, 16444, 16442, 16415, 16449, 16401, 16401, 16444, 16442, 16415, 16449, 16401, 16402, 16444, 16785, 18251, 18737, 16779, 19828, 19094, 29302, 16442, 16415, 16449, 16402, 16401, 16444, 16395, 26022, 17406, 16901, 65119, 16673, 20829, 16756, 16829, 16804, 50266, 16767, 16647, 29438, 16397, 23702, 16395, 16873, 39954, 17021, 16647, 24231, 16673, 16811, 24003, 19855, 16741, 19628, 16672, 16641, 18399, 16396, 16825, 16673, 16641, 23850, 37649, 41237, 16672, 16604, 16442, 24001, 16397, 16604, 16401, 16451, 16444, 16391, 16386, 16453, 16401, 16392, 16474, 18452, 16396, 18926, 16412, 16385, 19327, 16385, 16476, 16395, 16674, 16672, 16647, 16604, 16442, 48753, 30357, 16604, 16400, 16444, 16391, 16386, 16434, 16400, 16392, 16474, 18452, 16396, 18926, 16412, 16385, 25567, 28783, 16396, 42287, 16385, 16476, 16397, 17376, 16641, 17539, 16395, 16647, 28405, 19599, 16673, 16647, 34679, 28694, 16704, 58727, 16395, 16674, 16647, 18070, 40085, 28697, 20484, 22227, 16741, 16604, 16393, 16465, 16393, 19410, 16671, 16604, 16393, 16433, 16393, 16477, 16450, 16477, 16395, 16604, 16442, 24001, 16397, 16604, 16401, 16448, 16444, 16391, 16386, 16453, 16401, 16392, 16474, 18452, 16396, 18926, 16412, 16385, 19327, 16385, 16476, 16397, 16772, 17573, 35129, 16815, 16647, 30317, 16673, 16647, 34679, 24526, 16672, 16647, 20338, 32374, 41182, 16815, 17653, 24340, 35521, 45634, 29698, 16442, 16415, 16449, 16402, 16402, 16444, 16397, 18196, 16667, 21137, 18676, 16704 ]
[ 0, 16398, 16398, 34832, 16604, 16391, 16450, 16392, 16604, 16401, 16399, 16399, 16408, 16396, 16401, 16399, 16400, 16408, 16772, 19142, 16988, 16673, 16647, 18059, 16673, 24156, 16582, 16398, 16398, 17170, 19471, 16704, 17015, 16673, 16647, 38680, 19121, 16419, 16396, 30178, 17913, 16395, 19688, 17131, 16647, 16738, 23460, 16604, 16402, 16396, 18747, 17068, 31010, 16397, 16582, 16582, 16582, 16398, 16398, 23778, 17852, 16756, 16409, 16824, 21023, 26948, 16395, 16664, 24031, 16470, 24331, 16582, 16582, 16398, 16393, 16384, 16604, 16443, 20142, 22653, 22165, 16397, 16455, 16582, 16696, 16443, 55736, 20900, 17462, 16647, 22653, 22165, 17568, 16582, 16393, 16398, 16582, 16582, 16398, 16393, 16384, 22653, 22165, 41652, 20760, 21820, 20693, 16671, 20022, 17586, 16395, 16671, 17823, 23223, 16756, 17255, 33601, 16815, 16582, 16696, 54124, 20988, 16397, 16582, 16582, 16696, 63981, 25941, 35003, 17146, 16391, 16392, 16843, 16703, 18047, 16709, 22653, 22165, 16390, 16466, 17586, 16395, 16944, 16704, 21715, 17655, 16604, 16409, 16409, 17079, 16391, 16392, 16397, 16582, 16582, 16696, 30081, 22165, 16411, 16413, 24414, 16858, 30929, 16721, 42135, 22165, 16411, 16413, 17257, 16395, 16674, 17208, 21420, 21176, 42135, 22165, 16397, 16582, 16696, 17071, 17551, 16395, 16715, 18980, 36051, 16672, 18494, 42135, 23910, 16395, 22653, 22165, 41652, 25903, 16582, 16696, 18252, 16709, 42135, 22165, 16604, 16391, 16770, 25635, 16728, 17930, 16390, 16467, 16807, 16667, 64640, 30980, 16392, 16397, 17170, 20937, 16704, 24389, 16582, 16696, 17770, 16647, 17539, 16673, 64640, 30980, 16409, 16409, 16828, 18186, 22500, 19891, 19815, 27899, 16391, 16392, 16397, 16582, 16582, 16696, 19494, 19777, 16671, 42135, 22165, 16704, 16721, 22653, 22165, 17930, 16390, 16467, 23020, 17073, 20693, 18692, 16395, 16859, 16728, 16704, 17889, 16671, 16582, 16696, 31112, 21723, 16697, 51820, 16647, 17586, 16397, 16582, 16582, 16696, 28453, 16834, 16395, 22653, 22165, 16411, 16413, 20760, 16641, 20967, 39108, 16671, 31041, 16734, 32337, 19311, 62609, 16397, 16582, 16582, 16696, 17894, 16715, 42135, 22165, 16395, 18291, 16671, 16647, 17586, 16704, 19194, 17181, 29364, 35603, 16411, 16413, 23060, 16395, 16734, 18027, 18291, 16446, 29936, 16582, 16696, 16770, 18291, 16446, 27874, 32190, 16397, 16582, 16393, 16398, 16582, 16582, 16386, 57858, 18266, 16582, 16582, 16386, 43722, 16799, 19753, 47166, 16446, 59208, 20628, 16582, 16386, 23180, 16604, 16411, 63981, 16446, 45402, 16397, 16455, 16413, 16582, 16386, 31317, 16582, 16582, 16386, 23180, 16604, 16411, 44045, 16413, 16582, 16582, 16386, 23180, 16604, 16385, 32089, 16436, 22165, 16397, 16455, 16385, 16582, 16386, 23180, 16604, 16385, 38793, 38936, 18252, 16397, 16455, 16385, 16582, 16582, 16386, 23180, 16604, 16411, 18926, 16446, 20423, 17283, 16413, 16582, 16386, 23180, 16604, 16411, 20108, 16413, 16582, 16386, 23180, 16604, 16411, 16720, 16771, 16451, 16397, 16455, 16413, 16582, 16386, 23180, 16604, 16411, 34453, 16413, 16582, 16386, 23180, 16604, 16411, 16466, 21851, 16413, 16582, 16582, 16386, 26912, 18344, 26068, 30461, 16391, 16448, 16392, 16604, 16474, 16604, 16443, 16582, 16696, 20098, 16391, 16384, 16391, 16448, 16392, 16397, 16460, 16446, 64197, 16392, 16410, 16604, 16443, 16582, 16696, 16736, 16604, 16391, 16391, 16448, 16392, 16397, 16460, 16446, 64197, 16392, 16604, 16443, 16582, 16696, 16696, 16474, 16604, 16443, 16582, 16696, 16696, 23547, 30902, 16409, 16409, 45402, 16446, 18449, 16391, 16385, 30081, 22165, 18022, 25214, 16604, 16396, 29364, 35603, 17184, 32804, 24969, 16414, 16385, 16392, 16410, 16604, 16443, 16582, 16696, 16696, 16476, 16604, 16443, 16582, 16696, 16476, 16582, 16582, 16386, 26912, 64964, 16446, 23379, 20523, 22927, 16391, 20980, 16392, 16604, 16474, 16604, 16443, 16582, 16696, 20980, 16397, 17793, 27067, 16391, 26241, 16409, 16409, 20108, 16391, 16386, 20980, 16392, 16392, 16410, 16604, 16443, 16582, 16696, 16476, 16582, 16582, 30319, 24257, 16680, 16451, 16582, 16474, 16582, 30319, 18686, 16582, 16474, 16582, 16582, 16386, 43722, 16604, 16446, 16446, 37477, 28423, 16446, 16446, 16582, 16386, 26912, 16796, 19573, 16446, 44663, 16604, 16391, 16446, 16446, 37477, 28423, 16446, 16446, 16604, 16393, 16604, 16400, 16399, 16399, 16399, 16399, 16604, 16443, 16582, 16696, 16696, 16696, 16696, 16696, 16604, 16394, 16604, 16446, 16446, 37477, 28423, 16446, 36548, 18092, 16446, 16446, 16604, 16393, 16604, 16400, 16399, 16399, 16604, 16443, 16582, 16696, 16696, 16696, 16696, 16696, 16604, 16394, 16604, 16446, 16446, 37477, 28423, 16446, 16431, 36426, 18732, 40432, 16446, 16446, 16392, 16582, 16398, 16393, 21808, 16715, 16796, 19573, 16604, 16411, 16604, 16404, 16397, 16399, 16604, 16393, 16398, 16582, 16386, 16736, 16796, 19573, 16446, 44663, 16604, 16411, 16604, 16404, 16399, 16399, 16399, 16399, 16582, 16398, 16398, 16985, 17473, 16796, 19573, 21572, 20732, 16582, 16582, 16386, 26912, 25922, 16446, 17904, 16419, 16446, 18189, 31069, 16582, 16398, 16398, 20782, 16409, 16398, 16398, 39763, 16397, 17070, 16398, 37508, 16398, 16401, 16406, 16399, 16405, 16403, 16406, 16408, 16400, 16398, 26241, 24342, 16396, 18060, 16396, 42811, 16396, 17770, 16396, 16454, 16403, 16396, 16408, 16582, 16398, 16398, 20782, 16409, 16398, 16398, 16454, 16923, 16397, 20226, 16468, 16397, 18431, 16398, 26567, 42735, 16398, 24691, 16446, 26567, 16397, 16450, 24120, 16414, 16699, 16412, 16404, 16406, 16402, 16404, 16399, 16582, 47525, 19917, 16604, 16393, 18103, 16446, 24342, 16391, 30902, 16409, 16409, 20658, 16446, 16467, 34912, 16395, 30902, 16409, 16409, 20658, 16446, 16467, 19101, 16395, 16582, 16696, 16696, 16696, 16696, 16696, 21395, 16604, 16393, 16389, 27706, 16395, 30902, 16409, 16409, 20658, 16446, 16467, 16604, 16389, 23761, 16604, 16392, 16604, 16474, 16582, 16696, 26241, 16409, 16409, 28247, 27706, 16446, 16467, 16664, 16461, 16604, 16412, 16691, 50139, 16446, 19111, 16411, 30902, 16409, 16409, 28247, 27706, 16446, 16467, 16604, 16413, 16391, 16664, 18178, 16604, 16392, 16410, 16582, 16696, 26241, 16409, 16409, 28247, 27706, 16446, 16467, 35941, 16604, 16412, 16604, 16391, 16664, 16461, 16604, 16394, 34912, 16604, 16396, 16604, 16400, 16604, 16392, 16604, 16389, 16604, 16396, 34912, 16410, 16582, 16696, 26241, 16409, 16409, 20658, 16446, 16467, 51458, 16604, 16412, 35941, 16604, 16396, 16664, 16461, 16410, 16582, 16696, 16736, 16604, 16391, 18692, 16604, 16411, 19101, 16604, 16394, 51458, 16604, 16392, 17911, 53721, 16410, 16582, 16696, 23761, 16604, 16396, 16412, 51458, 16410, 16582, 16696, 17501, 16664, 18178, 16604, 16412, 16691, 50139, 16446, 19111, 16411, 19917, 16604, 16393, 16604, 16413, 16391, 35941, 16604, 16392, 16410, 16582, 16696, 16476, 16582, 16386, 31317, 16582, 16386, 31317, 16582, 16582, 30393, 16411, 19336, 16700, 16413, 16582, 19336, 21820, 16446, 17094, 16677, 16737, 16582, 16696, 16474, 16582, 16696, 18172, 16409, 16582, 16696, 16696, 16398, 16398, 16384, 39178, 44854, 16582, 16696, 16696, 50127, 16446, 17094, 16677, 16737, 16391, 16392, 16582, 16696, 16696, 16696, 16409, 16669, 16446, 16893, 16446, 34323, 16391, 25115, 16392, 16395, 16669, 16446, 16429, 16391, 16399, 16392, 16395, 16669, 16446, 16828, 21985, 16446, 27706, 16391, 21858, 27706, 16392, 16395, 16669, 16446, 16828, 21985, 16446, 36644, 16391, 16399, 16392, 16582, 16696, 16696, 16696, 16474, 16476, 16582, 16582, 16696, 16696, 16398, 16398, 16384, 16719, 28485, 16582, 16696, 16696, 16398, 16393, 16384, 16604, 16443, 19649, 23133, 16446, 25974, 64640, 26302, 16582, 16696, 16696, 16696, 16443, 19649, 17231, 16446, 34323, 18515, 16647, 20879, 16704, 21820, 16785, 16709, 16647, 19037, 16582, 16696, 16696, 16696, 16443, 19649, 16793, 17679, 16673, 21025, 16582, 16696, 16696, 16696, 16443, 19649, 36030, 16446, 27706, 18159, 17298, 16673, 36030, 16395, 17329, 34912, 16582, 16696, 16696, 16696, 16443, 19649, 36030, 16446, 36644, 41266, 16673, 36030, 16582, 16696, 16696, 16604, 16393, 16398, 16582, 16696, 16696, 50127, 16446, 17094, 16677, 16737, 16391, 26241, 16409, 16409, 42131, 16446, 27706, 16411, 19886, 64640, 30980, 16413, 23133, 16446, 25974, 16395, 16582, 16696, 16696, 16696, 28790, 17231, 16446, 34323, 16395, 30902, 16409, 16409, 20658, 16446, 16467, 16793, 16395, 19917, 16604, 16393, 16828, 21985, 16446, 27706, 16395, 19101, 16446, 16467, 36030, 16446, 36644, 16392, 16582, 16696, 16696, 16696, 16409, 16669, 16446, 28600, 16446, 25974, 16391, 28600, 16446, 25974, 16392, 16395, 16669, 16446, 16893, 16446, 34323, 16391, 16893, 16446, 34323, 16392, 16395, 16669, 16446, 16429, 16391, 16429, 16392, 16395, 16582, 16696, 16696, 16696, 16460, 16446, 16828, 21985, 16446, 27706, 16391, 16828, 21985, 16446, 27706, 16392, 16395, 16669, 16446, 16828, 21985, 16446, 36644, 16391, 16828, 21985, 16446, 36644, 16392, 16582, 16696, 16696, 16696, 16474, 16604, 16476, 16582, 16582, 16696, 16696, 16398, 16398, 16384, 23612, 16647, 24515, 16582, 16696, 16696, 21395, 17280, 27067, 16391, 19886, 30902, 16409, 16409, 20108, 16389, 24515, 16392, 16582, 16696, 16696, 16696, 16474, 16582, 16696, 16696, 16696, 16460, 16446, 26503, 16604, 16412, 24515, 16410, 16582, 16696, 16696, 16696, 16476, 16582, 16582, 16696, 16696, 16398, 16398, 16384, 58287, 16647, 20696, 16674, 29913, 16647, 21820, 20879, 16582, 16696, 16696, 16398, 16393, 16384, 16604, 16443, 19649, 16664, 18178, 24405, 16673, 35941, 20693, 36030, 16582, 16696, 16696, 16604, 16393, 16398, 16582, 16696, 16696, 21395, 25866, 16391, 16392, 16391, 16435, 16604, 16393, 27706, 16392, 16582, 16696, 16696, 16696, 16474, 16582, 16696, 16696, 16696, 16736, 16604, 16391, 27706, 16604, 16412, 16412, 53721, 16392, 16582, 16696, 16696, 16696, 16696, 17501, 16410, 16582, 16582, 16696, 16696, 16696, 16736, 16604, 16391, 16384, 16460, 16446, 28600, 16446, 25974, 16392, 16582, 16696, 16696, 16696, 16696, 17501, 16410, 16582, 16582, 16696, 16696, 16696, 16386, 43722, 16799, 19753, 47166, 16446, 59208, 20628, 16582, 16696, 16696, 16696, 16736, 16604, 16391, 16460, 16446, 16893, 16446, 34323, 16392, 16582, 16696, 16696, 16696, 16696, 16474, 16582, 16696, 16696, 16696, 16696, 63981, 36085, 31866, 27443, 17356, 16391, 16392, 16410, 16582, 16696, 16696, 16696, 16696, 45343, 16446, 59208, 20628, 16446, 31929, 16391, 16392, 16410, 16582, 16696, 16696, 16696, 16696, 16476, 16582, 16696, 16696, 16696, 16386, 31317, 16582, 16582, 16696, 16696, 16696, 16398, 16398, 16742, 17405, 30534, 17009, 16672, 16647, 36030, 16395, 16859, 17322, 18992, 17621, 17035, 32196, 16582, 16696, 16696, 16696, 17756, 16604, 16391, 26241, 16409, 16409, 20658, 16446, 16467, 17226, 16604, 16412, 16604, 16399, 16410, 17226, 16604, 16411, 16669, 16446, 16429, 16410, 16604, 16394, 16394, 16456, 16392, 16582, 16696, 16696, 16696, 16696, 16474, 16582, 16696, 16696, 16696, 16696, 27706, 16442, 16456, 16444, 16397, 16477, 16435, 16391, 16392, 16410, 16582, 16696, 16696, 16696, 16696, 16476, 16582, 16582, 16696, 16696, 16696, 16386, 43722, 16799, 19753, 47166, 16446, 59208, 20628, 16582, 16696, 16696, 16696, 16736, 16604, 16391, 16460, 16446, 16893, 16446, 34323, 16392, 16582, 16696, 16696, 16696, 16696, 16474, 16582, 16696, 16696, 16696, 16696, 26241, 16409, 16409, 16837, 17161, 21851, 16653, 17222, 16410, 16582, 16696, 16696, 16696, 16696, 17694, 16604, 16411, 16411, 16604, 16385, 27769, 16661, 16604, 16385, 16604, 16411, 16411, 16669, 16446, 16828, 21985, 16446, 36644, 16582, 16696, 16696, 16696, 16696, 16696, 16411, 16411, 16604, 16385, 34540, 16673, 21820, 20693, 16385, 16410, 16582, 16696, 16696, 16696, 16696, 16736, 16604, 16391, 16460, 16446, 26503, 16604, 16384, 16412, 16604, 16385, 16385, 16392, 16582, 16696, 16696, 16696, 16696, 16696, 17694, 16604, 16411, 16411, 16604, 16385, 16604, 16442, 16385, 16604, 16411, 16411, 16669, 16446, 26503, 16604, 16411, 16411, 16604, 16385, 16444, 16385, 16410, 16582, 16696, 16696, 16696, 16696, 17694, 16604, 16411, 16411, 30902, 16409, 16409, 60370, 16410, 16582, 16696, 16696, 16696, 16696, 17580, 16396, 16413, 16460, 16446, 28600, 16446, 25974, 16396, 16413, 28279, 16396, 16413, 18060, 16880, 16391, 16400, 16399, 16392, 16604, 16411, 16411, 16653, 17222, 16397, 18152, 16391, 16392, 16410, 16582, 16582, 16696, 16696, 16696, 16696, 63981, 27769, 16391, 16460, 16446, 16828, 21985, 16446, 27706, 16392, 16410, 16582, 16696, 16696, 16696, 16696, 45343, 16446, 59208, 20628, 16446, 31929, 16391, 16392, 16410, 16582, 16696, 16696, 16696, 16696, 16476, 16582, 16696, 16696, 16696, 20565, 16582, 16696, 16696, 16696, 16386, 31317, 16582, 16696, 16696, 16696, 16696, 16474, 16582, 16696, 16696, 16696, 16696, 22068, 16391, 16460, 16446, 16828, 21985, 16446, 27706, 16392, 16410, 16582, 16696, 16696, 16696, 16696, 16476, 16582, 16582, 16696, 16696, 16696, 16398, 16398, 21456, 20693, 36030, 19426, 16582, 16696, 16696, 16696, 16736, 16604, 16391, 16460, 16446, 28600, 16446, 25974, 16396, 16413, 17079, 38793, 23226, 17987, 16391, 16392, 16392, 16582, 16696, 16696, 16696, 16696, 17580, 16396, 16413, 16460, 16446, 28600, 16446, 25974, 16396, 16413, 17079, 38793, 23226, 17987, 16391, 16392, 16396, 16413, 16720, 31798, 19315, 21985, 16391, 16644, 50139, 16446, 19111, 16411, 19886, 19917, 16604, 16393, 16413, 16391, 27706, 16392, 16395, 16582, 16696, 16696, 16696, 16696, 16696, 50466, 16391, 16435, 16392, 16393, 16460, 16446, 16429, 16392, 16410, 16582, 16696, 16696, 16696, 16476, 16582, 16582, 16696, 20256, 16409, 16582, 16696, 16696, 26241, 16409, 16409, 42131, 16446, 27706, 16411, 19886, 64640, 30980, 16413, 16669, 16446, 28600, 16446, 25974, 16410, 16604, 16398, 16398, 16384, 16411, 16772, 27460, 26302, 16582, 16696, 16696, 28790, 16669, 16446, 16893, 16446, 34323, 16410, 16696, 16604, 16398, 16398, 16384, 16411, 26743, 16671, 17231, 16655, 28494, 16428, 33715, 19891, 19815, 16582, 16696, 16696, 33961, 17371, 16669, 16446, 16429, 16410, 16696, 16650, 16398, 16398, 16384, 16411, 27928, 16673, 21025, 16672, 20879, 16582, 16696, 16696, 21395, 16604, 16393, 16460, 16446, 16828, 21985, 16446, 27706, 16410, 16650, 16398, 16398, 16384, 16411, 24405, 16673, 16819, 46162, 36030, 16582, 16696, 16696, 20658, 16446, 16467, 16669, 16446, 16828, 21985, 16446, 36644, 16410, 16604, 16398, 16398, 16384, 16411, 41266, 16673, 20492, 36030, 16582, 16696, 16696, 26241, 16409, 16409, 20108, 16669, 16446, 26503, 16410, 16696, 16604, 16398, 16398, 16384, 16411, 25537, 16673, 16647, 20879, 16582, 16696 ]