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Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.
# Problem
Using the numbers in the list [68, 97, 78, 16, 66], create an equation that equals 137. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Your solution should include a series of steps "Step X:" where each step is a mathematical operation and the final step ultimately leads to the target number or it should be a single equation that results in the target.
Give your answer in the following format:
<answer>
(your answer)
</answer>
Where "(your answer)" is the list of steps to reach the target number or it should be a single equation that results in the target.
For example:
If the list of numbers was [1, 2, 3] and the target was 1, you could write:
<answer>
Step 1: 1 + 2 = 3
Step 2: 3 / 3 = 1
</answer>
or
<answer>
(1 + 2) / 3
</answer>
Let's think step by step.
|
97 - 16 - 78 + 66 + 68
|
countdown_5arg
|
countdown
|
[
{
"content": "Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.\n\n# Problem\nUsing the numbers in the list [68, 97, 78, 16, 66], create an equation that equals 137. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Your solution should include a series of steps \"Step X:\" where each step is a mathematical operation and the final step ultimately leads to the target number or it should be a single equation that results in the target.\n\nGive your answer in the following format:\n<answer>\n(your answer)\n</answer>\n\nWhere \"(your answer)\" is the list of steps to reach the target number or it should be a single equation that results in the target. \n\nFor example:\nIf the list of numbers was [1, 2, 3] and the target was 1, you could write:\n<answer>\nStep 1: 1 + 2 = 3\nStep 2: 3 / 3 = 1\n</answer>\n\nor \n\n<answer>\n(1 + 2) / 3\n</answer>\n\nLet's think step by step.",
"role": "user"
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{"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 250, \"numbers\": [68, 97, 78, 16, 66], \"target\": 137, \"expression\": \"97 - 16 - 78 + 66 + 68\"}", "task_source": "countdown"}
|
test
|
{"source_dataset": "countdown", "source_index": 250, "numbers": [68, 97, 78, 16, 66], "target": 137, "expression": "97 - 16 - 78 + 66 + 68"}
|
[
"Let's think step by step.\n\nList: [68, 97, 78, 16, 66], Target: 137\n\nTry combinations:\n\n- 97 + 78 = 175; 175 - 68 = 107; 107 + 16 = 123; 123 + 66 = 189 (too high)\n- Try grouping three numbers first:\n - 97 + 78 + 16 = 191; 191 - 68 = 123; 123 + 66 = 189\n - 97 + 66 = 163; 163 - 78 = 85; 85 + 68 = 153; 153 - 16 = 137? Let's check: 97+66=163, 163-78=85, 85+68=153, 153-16=137. But we're using all numbers.\nBut maybe try two-number sums then combine with others:\n\n- Try 97 + 66 = 163; 163 - 78 = 85; 85 + 68 = 153; 153 - 16 = 137. That uses all numbers but gives 137 at the last step. However, we want to get exactly 137 as early as possible.\n\nTry another approach:\n\n- Try 78 + 66 = 144; 144 - 97 = 47; 47 + 68 = 115; 115 + 16 = 131 (no)\n\nTry subtracting:\n\n- 97 - 68 = 29; 29 + 78 = 107; 107 + 16 = 123; 123 + 66 = 189\n\nTry combining for a direct path:\n\nTry 68 + 97 = 165; 165 - 78 = 87; 87 + 66 = 153; 153 - 16 = 137\n\nAlternatively, try using division or other orderings.\n\nTry 97 + 78 = 175; 175 - 66 = 109; 109 + 68 = 177; 177 - 16 = 161\n\nTry 66 * 2 = 132, but no 2 available.\n\nTry 68 + 97 = 165; 165 - 66 = 99; 99 + 78 = 177; 177 - 16 = 161\n\nTry 78 + 16 = 94; 94 + 68 = 162; 162 - 97 = 65; 65 + 66 = 131\n\nTry 97 - 66 = 31; 31 + 78 = 109; 109 + 68 = 177; 177 - 16 = 161\n\nTry 68 + 78 = 146; 146 - 97 = 49; 49 + 66 = 115; 115 + 16 = 131\n\nTry 97 + 16 = 113; 113 + 78 = 191; 191 - 68 = 123; 123 + 66 = 189\n\nTry 66 + 78 = 144; 144 - 97 = 47; 47 + 68 = 115; 115 + 16 = 131\n\nTry 68 * 2 = 136, but no 2.\n\nTry 97 + 66 = 163; 163 - 68 = 95; 95 + 78 = 173; 173 - 16 = 157\n\nTry 78 * 2 = 156, no 2.\n\nTry 16 * 8 = 128, no 8.\n\nTry different order: 97 + 78 + 16 = 191; 191 - 68 = 123; 123 + 66 = 189\n\nTry 97 + 78 = 175; 175 - 68 = 107; 107 + 66 = 173; 173 - 16 = 157\n\nTry 68 + 66 = 134; 134 + 78 = 212; 212 - 97 = 115; 115 + 16 = 131\n\nTry 97 - 66 = 31; 31 + 78 = 109; 109 + 68 = 177; 177 - 16 = 161\n\nTry 78 + 16 = 94; 94 + 66 = 160; 160 - 97 = 63; 63 + 68 = 131\n\nTry 97 - 68 = 29; 29 + 78 = 107; 107 + 16 = 123; 123 + 66 = 189\n\nTry 66 * 2 = 132, no 2.\n\nTry 68 + 97 = 165; 165 - 78 = 87; 87 + 66 = 153; 153 - 16 = 137\n\nSo, if I do 68 + 97 = 165; 165 - 78 = 87; 87 + 66 = 153; 153 - 16 = 137.\n\nThis uses all numbers and gets to 137, but takes four steps. Can I do better?\n\nTry 97 + 78 = 175; 175 - 68 = 107; 107 + 66 = 173; 173 - 16 = 157\n\nTry 66 + 97 = 163; 163 - 78 = 85; 85 + 68 = 153; 153 - 16 = 137\n\nAgain, same pattern.\n\nTry just combining two numbers to make 137 directly:\n\n- 97 + 78 = 175 (not 137)\n- 68 + 97 = 165 (not 137)\n- 78 + 66 = 144 (not 137)\n- 97 + 66 = 163 (not 137)\n- 68 + 66 = 134 (not 137)\n\nTry subtraction:\n\n- 97 - 68 = 29\n- 78 - 66 = 12\n- 97 - 78 = 19\n\nTry multiplication:\n\n- 68 * 2 = 136, but no 2.\n\nTry division:\n\n- 97 / 2 = 48.5, no 2.\n\nTry 68 + 97 = 165; 165 - 66 = 99; 99 + 78 = 177; 177 - 16 = 161\n\nTry 97 - 16 = 81; 81 + 78 = 159; 159 - 68 = 91; 91 + 66 = 157\n\nTry 78 + 66 = 144; 144 - 97 = 47; 47 + 68 = 115; 115 + 16 = 131\n\nTry 68 + 16 = 84; 84 + 78 = 162; 162 - 97 = 65; 65 + 66 = 131\n\nTry 97 + 16 = 113; 113 + 78 = 191; 191 - 68 = 123; 123 + 66 = 189\n\nTry 66 * 2 = 132, no 2.\n\nTry 68 + 66 = 134; 134 - 78 = 56; 56 + 97 = 153; 153 - 16 = 137\n\nWait! Here's something:\n\n68 + 66 = 134 \n134 - 78 = 56 \n56 + 97 = 153 \n153 - 16 = 137 \n\nStill four steps.\n\nIs there a way to do it in fewer steps?\n\nTry 97 + 78 = 175 \n175 - 68 = 107 \n107 + 66 = 173 \n173 - 16 = 157\n\nNo.\n\nTry 78 + 66 = 144 \n144 - 97 = 47 \n47 + 68 = 115 \n115 + 16 = 131\n\nNo.\n\nTry 68 * 2 = 136, but no 2.\n\nTry 97 + 66 = 163 \n163 - 68 = 95 \n95 + 78 = 173 \n173 - 16 = 157\n\nNo.\n\nTry 78 * 2 = 156, no 2.\n\nTry 16 * 8 = 128, no 8.\n\nTry 97 - 66 = 31 \n31 + 78 = 109 \n109 + 68 = 177 \n177 - 16 = 161\n\nNo.\n\nTry 68 + 78 = 146 \n146 - 97 = 49 \n49 + 66 = 115 \n115 + 16 = 131\n\nNo.\n\nTry 66 + 68 = 134 \n134 + 78 = 212 \n212 - 97 = 115 \n115 + 16 = 131\n\nNo.\n\nTry 97 - 68 = 29 \n29 + 78 = 107 \n107 + 66 = 173 \n173 - 16 = 157\n\nNo.\n\nTry 97 + 68 = 165 \n165 - 78 = 87 \n87 + 66 = 153 \n153 - 16 = 137\n\nYes! This works and uses all numbers once:\n\nStep 1: 97 + 68 = 165 \nStep 2: 165 - 78 = 87 \nStep 3: 87 + 66 = 153 \nStep 4: 153 - 16 = 137\n\nBut can I do it in fewer steps?\n\nTry 66 * 2 = 132, but no 2.\n\nTry 78 * 2 = 156, but no 2.\n\nTry 68 * 2 = 136, but no 2.\n\nTry 97 * 2 = 194, but no 2.\n\nTry 97 - 66 = 31 \n31 + 78 = 109 \n109 + 68 = 177 \n177 - 16 = 161\n\nNo.\n\nTry 66 + 97 = 163 \n163 - 68 = 95 \n95 + 78 = 173 \n173 - 16 = 157\n\nNo.\n\nTry 68 + 66 = 134 \n134 + 78 = 212 \n212 - 97 = 115 \n115 + 16 = 131\n\nNo.\n\nTry 97 - 78 = 19 \n19 + 68 = 87 \n87 + 66 = 153 \n153 - 16 = 137\n\nThat's similar structure, still 4 steps.\n\nTry 78 + 66 = 144 \n144 - 97 = 47 \n47 + 68 = 115 \n115 + 16 = 131\n\nNo.\n\nTry 68 - 16 = 52 \n52 + 78 = 130 \n130 + 97 = 227 \n227 - 66 = 161\n\nNo.\n\nTry 97 + 66 = 163 \n163 - 78 = 85 \n85 + 68 = 153 \n153 - 16 = 137\n\nSame pattern.\n\nTry 97 - 66 = 31 \n31 + 78 = 109 \n109 + 68 = 177 \n177 - 16 = 161\n\nNo.\n\nTry 66 * 2 = 132, no 2.\n\nTry 68 * 2 = 136, no 2.\n\nTry 97 * 2 = 194, no 2.\n\nTry 16 * 8 = 128, no 8.\n\nTry 78 * 2 = 156, no 2.\n\nTry 16 * 7 = 112, no 7.\n\nTry 68 + 97 = 165 \n165 - 66 = 99 \n99 + 78 = 177 \n177 - 16 = 161\n\nNo.\n\nTry 97 + 78 = 175 \n175 - 66 = 109 \n109 + 68 = 177 \n177 - 16 = 161\n\nNo.\n\nTry 78 + 97 = 175 \n175 - 68 = 107 \n107 + 66 = 173 \n173 - 16 = 157\n\nNo.\n\nTry 68 + 66 = 134 \n134 + 97 = 231 \n231 - 78 = 153 \n153 - 16 = 137\n\nYes!\n\n68 + 66 = 134 \n134 + 97 = 231 \n231 - 78 = 153 \n153 - 16 = 137\n\nSo, here's a valid sequence:\n\n<answer>\n(68 + 66) + 97 - 78 - 16\n</answer>\n\nBut let's verify:\n\n68 + 66 = 134 \n134 + 97 = 231 \n231 - 78 = 153 \n153 - 16 = 137\n\nCorrect.\n\nBut earlier one also worked.\n\nWhich is shorter? Both use 4 steps, so both are equivalent.\n\nEither is acceptable.\n\nFinal answer:\n\n<answer>\n(68 + 66) + 97 - 78 - 16\n</answer>",
"Let's think step by step.\n\nList: [68, 97, 78, 16, 66], Target: 137\n\nTry combinations:\n\n- 97 + 78 = 175; 175 - 68 = 107; 107 + 16 = 123; 123 + 66 = 189 (too high)\n- Try grouping three numbers first:\n - 97 + 78 + 16 = 191; 191 - 68 = 123; 123 + 66 = 189\n - 97 + 66 = 163; 163 - 78 = 85; 85 + 68 = 153; 153 - 16 = 137\n\nWait! Let's check:\n97 + 66 = 163 \n163 - 78 = 85 \n85 + 68 = 153 \n153 - 16 = 137\n\nSo yes, this works!\n\nAlternatively, try other groupings for simplicity:\n\nTry combining 68 + 78 = 146; 146 - 97 = 49; 49 + 66 = 115; 115 + 16 = 131 (no)\n\nTry 68 + 16 = 84; 84 + 78 = 162; 162 - 97 = 65; 65 + 66 = 131 (no)\n\nTry 97 + 16 = 113; 113 + 66 = 179; 179 - 78 = 101; 101 + 68 = 169 (no)\n\nTry 97 + 78 = 175; 175 - 66 = 109; 109 + 68 = 177; 177 - 16 = 161 (no)\n\nTry 97 + 66 = 163; 163 - 68 = 95; 95 + 78 = 173; 173 - 16 = 157 (no)\n\nTry 68 + 66 = 134; 134 + 78 = 212; 212 - 97 = 115; 115 + 16 = 131 (no)\n\nBut previous calculation works:\n\n97 + 66 = 163 \n163 - 78 = 85 \n85 + 68 = 153 \n153 - 16 = 137\n\nSo, using all numbers once:\n\n<answer>\n((97 + 66) - 78) + 68 - 16\n</answer>\n\nOr, as a single expression:\n\n<answer>\n(((97 + 66) - 78) + 68) - 16\n</answer>\n\nBut let's see if we can simplify further.\n\nTry another approach: 97 + 78 = 175; 175 - 66 = 109; 109 + 68 = 177; 177 - 16 = 161 (no)\n\nTry 68 + 78 = 146; 146 - 97 = 49; 49 + 66 = 115; 115 + 16 = 131 (no)\n\nTry 68 + 16 = 84; 84 + 78 = 162; 162 - 97 = 65; 65 + 66 = 131 (no)\n\nTry 97 + 16 = 113; 113 + 66 = 179; 179 - 78 = 101; 101 + 68 = 169 (no)\n\nTry 97 + 66 = 163; 163 - 68 = 95; 95 + 78 = 173; 173 - 16 = 157 (no)\n\nTry 97 + 78 = 175; 175 - 68 = 107; 107 + 66 = 173; 173 - 16 = 157 (no)\n\nTry 97 + 78 = 175; 175 - 16 = 159; 159 + 66 = 225; 225 - 68 = 157 (no)\n\nTry 97 + 78 = 175; 175 - 66 = 109; 109 + 68 = 177; 177 - 16 = 161 (no)\n\nTry 68 + 66 = 134; 134 + 78 = 212; 212 - 97 = 115; 115 + 16 = 131 (no)\n\nTry 97 + 66 = 163; 163 - 78 = 85; 85 + 68 = 153; 153 - 16 = 137 ✔️\n\nThis matches our earlier result.\n\nTherefore, the answer is:\n\n<answer>\n((97 + 66) - 78) + 68 - 16\n</answer>",
"Let's think step by step.\n\nList: [68, 97, 78, 16, 66], Target: 137\n\nTry combinations:\n\n- 97 + 78 = 175; 175 - 68 = 107; 107 + 16 = 123; 123 + 66 = 189 (too high)\n- Try grouping three numbers first:\n - 97 + 78 + 16 = 191; 191 - 68 = 123; 123 + 66 = 189\n - 97 + 66 = 163; 163 - 78 = 85; 85 + 68 = 153; 153 - 16 = 137? Let's check: 97+66=163, 163-78=85, 85+68=153, 153-16=137.\n So, ((97 + 66) - 78) + 68 - 16 = 137.\n But we've already used all numbers except maybe double-counted?\n Let's count: 97, 66, 78, 68, 16 — yes, each used once.\n\nSo,\n((97 + 66) - 78) + 68 - 16 = ?\n\nCompute:\n97 + 66 = 163\n163 - 78 = 85\n85 + 68 = 153\n153 - 16 = 137\n\nSo the equation works.\n\nAlternatively, try other combos for shorter expression:\n\nIs there a simpler way?\n\nWhat if we do:\n97 + 78 = 175\n175 - 66 = 109\n109 + 68 = 177\n177 - 16 = 161\n\nNo.\n\nTry combining smaller numbers:\n\n16 + 78 = 94\n94 + 66 = 160\n160 - 68 = 92\n92 + 97 = 189\n\nNo.\n\nTry another approach:\n\nCheck sum: 68 + 97 + 78 + 16 + 66 = 305. Not close.\n\nTry two-number addition:\n\n68 + 97 = 165\n165 - 78 = 87\n87 + 16 = 103\n103 + 66 = 169\n\nNo.\n\nTry different orderings:\n\nTry 97 + 66 = 163\n163 - 68 = 95\n95 + 78 = 173\n173 - 16 = 157\n\nNo.\n\nGo back to previous working equation:\n\n((97 + 66) - 78) + 68 - 16 = 137\n\nThis uses each number exactly once.\n\nTherefore, the solution is:\n\n<answer>\n((97 + 66) - 78) + 68 - 16\n</answer>",
"Let's think step by step.\n\nWe need to use [68, 97, 78, 16, 66] to make 137.\n\nTry combinations:\n\n- Try combining two numbers first.\n - 68 + 97 = 165; then with 78, 16, 66 left: 165 - 78 = 87; 87 + 16 = 103; 103 + 66 = 169 (too high).\n - Try 97 + 66 = 163; 163 - 78 = 85; 85 + 68 = 153; 153 - 16 = 137! Wait, but order matters. Let's check carefully:\n\nActually, let's try grouping differently:\n\nWhat if we try (68 + 78) = 146 \nThen 146 - 97 = 49 \n49 + 66 = 115 \n115 + 16 = 131\n\nNot working.\n\nTry (97 - 78) = 19 \n19 + 68 = 87 \n87 + 66 = 153 \n153 - 16 = 137\n\nBut again, ordering may matter.\n\nAlternatively, try 97 + 66 = 163 \n163 - 78 = 85 \n85 + 68 = 153 \n153 - 16 = 137\n\nWait, perhaps rearrange:\n\nHow about (97 - 66) = 31 \n31 + 78 = 109 \n109 + 68 = 177 \n177 - 16 = 161\n\nNo.\n\nTry (97 - 68) = 29 \n29 + 78 = 107 \n107 + 66 = 173 \n173 - 16 = 157\n\nNo.\n\nTry (78 - 66) = 12 \n12 + 97 = 109 \n109 + 68 = 177 \n177 - 16 = 161\n\nNo.\n\nTry 68 * 16 = 1088 (too big)\n\nTry division? Maybe not as promising.\n\nTry (97 + 78) = 175 \n175 - 66 = 109 \n109 + 68 = 177 \n177 - 16 = 161\n\nNo.\n\nTry (97 + 16) = 113 \n113 + 66 = 179 \n179 - 78 = 101 \n101 + 68 = 169\n\nNo.\n\nTry (97 - 68) = 29 \n29 + 78 = 107 \n107 + 66 = 173 \n173 - 16 = 157\n\nNo.\n\nTry (97 - 78) = 19 \n19 + 66 = 85 \n85 + 68 = 153 \n153 - 16 = 137\n\nSo here's a possible sequence:\n\nStart with 97 - 78 = 19 \n19 + 66 = 85 \n85 + 68 = 153 \n153 - 16 = 137\n\nYes! That uses all numbers once.\n\nTherefore, the answer is:\n\n<answer>\n(97 - 78) + 66 + 68 - 16\n</answer>\n\nOr, written as steps:\n\nStep 1: 97 - 78 = 19 \nStep 2: 19 + 66 = 85 \nStep 3: 85 + 68 = 153 \nStep 4: 153 - 16 = 137\n\nBut since the question says \"give your answer in the following format\", I'll pick the direct expression.\n\nFinal answer:\n\n<answer>\n(97 - 78) + 66 + 68 - 16\n</answer>"
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"content": "Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.\n\n# Problem\nUsing the numbers in the list [68, 97, 78, 16, 66], create an equation that equals 137. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Your solution should include a series of steps \"Step X:\" where each step is a mathematical operation and the final step ultimately leads to the target number or it should be a single equation that results in the target.\n\nGive your answer in the following format:\n<answer>\n(your answer)\n</answer>\n\nWhere \"(your answer)\" is the list of steps to reach the target number or it should be a single equation that results in the target. \n\nFor example:\nIf the list of numbers was [1, 2, 3] and the target was 1, you could write:\n<answer>\nStep 1: 1 + 2 = 3\nStep 2: 3 / 3 = 1\n</answer>\n\nor \n\n<answer>\n(1 + 2) / 3\n</answer>\n\nLet's think step by step.",
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2025-12-02
|
test
|
main
|
SkillFactory/M-1123_newmodels__olmo7b_ct3arg_retry-rl
| 0
|
eval_rl
| 1
|
2025-12-02T01:42:00.202806
|
TAUR-dev/D-EVAL__standard_eval_v3__FinEval_16k_fulleval_3arg_OLMO_RLONLY-RL-countdown_5arg-eval_rl
|
Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.
# Problem
Using the numbers in the list [34, 81, 40, 25, 24], create an equation that equals 106. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Your solution should include a series of steps "Step X:" where each step is a mathematical operation and the final step ultimately leads to the target number or it should be a single equation that results in the target.
Give your answer in the following format:
<answer>
(your answer)
</answer>
Where "(your answer)" is the list of steps to reach the target number or it should be a single equation that results in the target.
For example:
If the list of numbers was [1, 2, 3] and the target was 1, you could write:
<answer>
Step 1: 1 + 2 = 3
Step 2: 3 / 3 = 1
</answer>
or
<answer>
(1 + 2) / 3
</answer>
Let's think step by step.
|
34 + 81 - 24 - 25 + 40
|
countdown_5arg
|
countdown
|
[
{
"content": "Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.\n\n# Problem\nUsing the numbers in the list [34, 81, 40, 25, 24], create an equation that equals 106. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Your solution should include a series of steps \"Step X:\" where each step is a mathematical operation and the final step ultimately leads to the target number or it should be a single equation that results in the target.\n\nGive your answer in the following format:\n<answer>\n(your answer)\n</answer>\n\nWhere \"(your answer)\" is the list of steps to reach the target number or it should be a single equation that results in the target. \n\nFor example:\nIf the list of numbers was [1, 2, 3] and the target was 1, you could write:\n<answer>\nStep 1: 1 + 2 = 3\nStep 2: 3 / 3 = 1\n</answer>\n\nor \n\n<answer>\n(1 + 2) / 3\n</answer>\n\nLet's think step by step.",
"role": "user"
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{"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 251, \"numbers\": [34, 81, 40, 25, 24], \"target\": 106, \"expression\": \"34 + 81 - 24 - 25 + 40\"}", "task_source": "countdown"}
|
test
|
{"source_dataset": "countdown", "source_index": 251, "numbers": [34, 81, 40, 25, 24], "target": 106, "expression": "34 + 81 - 24 - 25 + 40"}
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[
"Let's think step by step.\n\nWe need to get 106 from [34, 81, 40, 25, 24].\n\nTry combinations:\n\n- 81 + 34 = 115; then 115 - 40 = 75; 75 + 25 = 100; 100 + 24 = 124 (too high).\n- Try 81 + 40 = 121; 121 - 34 = 87; 87 + 25 = 112; 112 - 24 = 88.\n- Try 81 * 24 = 1944; too big.\n- Try 34 + 81 = 115; 115 - 25 = 90; 90 + 40 = 130; 130 - 24 = 106. Wait! That uses all numbers: 34+81=115; 115-25=90; 90+40=130; 130-24=106. But let's check if we can combine differently.\n\nAlternatively, try grouping three numbers first:\n- 34 + 24 = 58; 58 + 40 = 98; 98 + 25 = 123; 123 - 81 = 42.\n- Try 81 + 25 = 106 exactly!\n\nSo, 81 + 25 = 106, using just two numbers. We don't have to use all numbers, but if required, let's see if there's a way using all five.\n\nBut since the instructions say \"using the numbers\" and \"each number can only be used once,\" it's acceptable to use only some if needed for simplicity.\n\nTherefore, the simplest is:\n\n<answer>\n81 + 25 = 106\n</answer>\n\nBut if we must use all numbers, try combining others:\n\nSuppose we want to make 106 using all five numbers.\n\nTry: (34 + 40) = 74; 74 + 25 = 99; 99 + 24 = 123; 123 - 81 = 42\n\nTry: 81 * 24 = 1944; too big.\n\nTry: 81 + 34 = 115; 115 - 40 = 75; 75 + 25 = 100; 100 + 24 = 124\n\nTry: 81 - 34 = 47; 47 + 40 = 87; 87 + 25 = 112; 112 - 24 = 88\n\nTry: (81 - 25) = 56; 56 + 40 = 96; 96 + 24 = 120; 120 - 34 = 86\n\nTry: (81 - 40) = 41; 41 + 25 = 66; 66 + 24 = 90; 90 + 34 = 124\n\nTry: 81 + 24 = 105; 105 + 34 = 139; 139 - 40 = 99; 99 - 25 = 74\n\nTry: 81 + 24 = 105; 105 + 25 = 130; 130 - 40 = 90; 90 + 34 = 124\n\nTry: (34 + 25) = 59; 59 + 40 = 99; 99 + 24 = 123; 123 - 81 = 42\n\nTry: (81 + 24) = 105; 105 + 40 = 145; 145 - 34 = 111; 111 - 25 = 86\n\nTry: 81 * 24 = 1944; no.\n\nTry: (81 - 24) = 57; 57 + 40 = 97; 97 + 34 = 131; 131 - 25 = 106.\n\nWait! Let's check:\n\n(81 - 24) = 57 \n57 + 40 = 97 \n97 + 34 = 131 \n131 - 25 = 106\n\nThis uses all numbers: 81, 24, 40, 34, 25.\n\nSo,\n\nStep 1: 81 - 24 = 57 \nStep 2: 57 + 40 = 97 \nStep 3: 97 + 34 = 131 \nStep 4: 131 - 25 = 106\n\n<answer>\n(81 - 24) + 40 + 34 - 25\n</answer>\n\nOr as a sequence:\n\n<answer>\nStep 1: 81 - 24 = 57\nStep 2: 57 + 40 = 97\nStep 3: 97 + 34 = 131\nStep 4: 131 - 25 = 106\n</answer>",
"Let's think step by step.\n\nList: [34, 81, 40, 25, 24], Target: 106\n\nTry combinations:\n\n- 81 + 25 = 106 (uses 81 and 25), left with 34, 40, 24.\nBut need to use all numbers exactly once.\n\nTry other combos:\n- 34 + 40 = 74; 74 + 24 = 98; 98 + 25 = 123 (too high).\n- 81 - 34 = 47; 47 + 40 = 87; 87 + 25 = 112; 112 - 24 = 88.\n- Try grouping two numbers together:\n - 81 + 24 = 105; 105 + 25 = 130; 130 - 40 = 90; 90 + 34 = 124.\n - 40 + 24 = 64; 64 + 34 = 98; 98 + 25 = 123.\n - 81 * 24 = too big.\n - Try using subtraction:\n - 81 - 40 = 41; 41 + 25 = 66; 66 + 34 = 100; 100 + 24 = 124.\n - 34 + 40 = 74; 74 + 25 = 99; 99 + 24 = 123.\n - Try combining three numbers first:\n - 34 + 40 + 24 = 98; 98 + 25 = 123.\n - 81 - 40 = 41; 41 + 25 = 66; 66 + 34 = 100; 100 + 24 = 124.\n - 81 - 25 = 56; 56 + 40 = 96; 96 + 34 = 130; 130 - 24 = 106.\n\nWait! Let's try:\n\n81 - 25 = 56 \n56 + 40 = 96 \n96 + 34 = 130 \n130 - 24 = 106 \n\nBut we must use each number only once, so maybe combine differently.\n\nAlternatively, let's see if we can get 106 directly:\n\nTry (81 + 24) = 105; then 105 + 25 = 130; 130 - 40 = 90; 90 + 34 = 124.\n\nTry (81 + 34) = 115; 115 - 40 = 75; 75 + 25 = 100; 100 + 24 = 124.\n\nTry (81 - 34) = 47; 47 + 40 = 87; 87 + 25 = 112; 112 - 24 = 88.\n\nTry (81 - 40) = 41; 41 + 34 = 75; 75 + 25 = 100; 100 + 24 = 124.\n\nTry (81 - 24) = 57; 57 + 40 = 97; 97 + 34 = 131; 131 - 25 = 106.\n\nSo:\n\n(81 - 24) = 57 \n57 + 40 = 97 \n97 + 34 = 131 \n131 - 25 = 106\n\nThat works!\n\nThus, one valid equation is:\n\n(81 - 24) + 40 + 34 - 25 = 106\n\nOr as a sequence:\n\nStep 1: 81 - 24 = 57 \nStep 2: 57 + 40 = 97 \nStep 3: 97 + 34 = 131 \nStep 4: 131 - 25 = 106\n\nFinal Answer:\n\n<answer>\n(81 - 24) + 40 + 34 - 25\n</answer>",
"Let's think step by step.\n\nWe need to get 106 using [34, 81, 40, 25, 24].\n\nTry combinations:\n\n- 81 + 24 = 105; then 105 + 34 = 139 (too big).\n- Try grouping two numbers for larger values.\n- 40 * 25 = 1000 (way too big).\n- 34 + 81 = 115; 115 - 40 = 75; 75 + 24 = 99 (not enough).\n- Try combining 81 and 25: 81 + 25 = 106; left with 34, 40, 24 — but we must use all numbers exactly once.\n- Maybe combine three numbers first.\n- Try (34 + 40) = 74; 74 + 25 = 99; 99 + 24 = 123 (nope).\n- Try (81 - 40) = 41; 41 + 25 = 66; 66 + 24 = 90 (nope).\n- Try 81 * 24 = 1944 (nope).\n- Try (34 + 24) = 58; 58 + 40 = 98; 98 + 25 = 123 (nope).\n- Try (81 - 25) = 56; 56 + 40 = 96; 96 + 24 = 120 (nope).\n- Try (40 + 24) = 64; 64 + 25 = 89; 89 + 34 = 123 (nope).\n\nTry more creative combos:\n\n- Try 81 + 24 = 105; now need +1 from remaining 34, 40, 25.\n- Is there a way to get 1? 34 - 25 = 9; 40 - 9 = 31; no luck.\n- Try 34 * 25 = 850; 850 - 81 = 769; 769 - 40 = 729; nope.\n- Try division: 81 / 24 ≈ 3.375; not helpful.\n- Try 40 - 25 = 15; 15 + 34 = 49; 49 + 24 = 73.\n- Try 81 - 34 = 47; 47 + 25 = 72; 72 + 40 = 112; 112 - 24 = 88.\n\nAlternatively, try combining three numbers at once:\n\n- Try (34 + 40 + 25) = 99; 99 + 24 = 123; 123 - 81 = 42 (no).\n- Try (81 + 24 + 25) = 130; 130 - 34 = 96; 96 - 40 = 56 (no).\n- Try (81 - 40) = 41; 41 + 25 = 66; 66 + 24 = 90.\n\nWait! Let's try a different approach: \nIs 106 - 81 = 25? Yes, so maybe 81 + 25 = 106, and use 34, 40, 24 somehow as zero or unused—but must use all numbers.\n\nAlternatively, perhaps (34 + 40 + 24) = 98; 98 + 25 = 123; 123 - 81 = 42.\n\nBut let's look for another path.\n\nWhat if I try (81 + 24) = 105; Now, can I add 1 from the rest? 34 - 25 = 9; 40 - 9 = 31. Not matching.\n\nTry 40 * 25 = 1000; 1000 / 34 ≈ 29.41; 29.41 - 81 = negative.\n\nTry 81 - 34 = 47; 47 + 40 = 87; 87 + 25 = 112; 112 - 24 = 88.\n\nTry 81 - 24 = 57; 57 + 40 = 97; 97 + 25 = 122; 122 - 34 = 88.\n\nTry 81 + 25 = 106. That uses 81 and 25. Leftover: 34, 40, 24. Can I make 0 with these? No, unless (34 + 40 + 24) = 98, which doesn't help.\n\nWait—maybe use subtraction:\n\nHow about (34 + 40 + 24) = 98; 98 + 25 = 123; 123 - 81 = 42.\n\nNot working.\n\nTry (81 + 24) = 105; (34 + 40 + 25) = 99; 105 - 99 = 6.\n\nNo.\n\nTry (81 - 40) = 41; 41 + 34 = 75; 75 + 25 = 100; 100 + 24 = 124.\n\nTry (40 * 24) = 960; 960 / 34 ≈ 28.23; 28.23 - 25 = 3.23; 3.23 + 81 = 84.23.\n\nTry (81 - 34) = 47; 47 + 24 = 71; 71 + 40 = 111; 111 - 25 = 86.\n\nTry (81 + 40) = 121; 121 - 34 = 87; 87 + 25 = 112; 112 - 24 = 88.\n\nTry (34 + 81) = 115; 115 - 40 = 75; 75 + 25 = 100; 100 + 24 = 124.\n\nTry (81 - 25) = 56; 56 + 40 = 96; 96 + 24 = 120; 120 - 34 = 86.\n\nTry (81 * 24) = 1944; 1944 / 34 = 57.176; 57.176 - 40 = 17.176; 17.176 + 25 = 42.176.\n\nTry (40 * 24) = 960; 960 / 34 = 28.235; 28.235 - 25 = 3.235; 3.235 + 81 = 84.235.\n\nTry (34 * 24) = 816; 816 / 40 = 20.4; 20.4 - 25 = -4.6; -4.6 + 81 = 76.4.\n\nTry (81 - 24) = 57; 57 + 25 = 82; 82 + 40 = 122; 122 - 34 = 88.\n\nTry (40 - 25) = 15; 15 + 34 = 49; 49 + 24 = 73; 73 + 81 = 154.\n\nTry (81 + 25) = 106; leftover 34, 40, 24. If I can get 0 from those, but can't.\n\nWait—is there a way to use parentheses?\n\nTry ((34 + 40) * 24) = 74 * 24 = 1776; 1776 / 25 = 71.04; 71.04 - 81 = -9.96.\n\nTry ((81 - 40) * 25) = 41 * 25 = 1025; 1025 / 34 = 30.147; 30.147 - 24 = 6.147.\n\nTry (34 + 24) = 58; 58 + 40 = 98; 98 + 25 = 123; 123 - 81 = 42.\n\nTry (81 + 24) = 105; (34 - 25) = 9; 105 - 9 = 96; 96 + 40 = 136.\n\nTry (81 + 25) = 106; (34 + 40 + 24) = 98; 106 - 98 = 8.\n\nTry (81 - 24) = 57; 57 + 40 = 97; 97 + 25 = 122; 122 - 34 = 88.\n\nTry (81 + 40) = 121; 121 - 34 = 87; 87 + 25 = 112; 112 - 24 = 88.\n\nTry (81 + 40) = 121; 121 - 24 = 97; 97 + 25 = 122; 122 - 34 = 88.\n\nTry (34 + 25) = 59; 59 + 40 = 99; 99 + 24 = 123; 123 - 81 = 42.\n\nTry (81 - 34) = 47; 47 + 24 = 71; 71 + 40 = 111; 111 - 25 = 86.\n\nTry (40 + 24) = 64; 64 + 25 = 89; 89 + 34 = 123; 123 - 81 = 42.\n\nTry (34 * 25) = 850; 850 / 40 = 21.25; 21.25 - 81 = -59.75; -59.75 + 24 = -35.75.\n\nTry (40 * 24) = 960; 960 / 25 = 38.4; 38.4 - 34 = 4.4; 4.4 + 81 = 85.4.\n\nTry (81 / 24) = 3.375; 3.375 * 40 = 135; 135 - 34 = 101; 101 + 25 = 126.\n\nTry (81 / 34) = 2.382; 2.382 * 40 = 95.28; 95.28 + 25 = 120.28; 120.28 - 24 = 96.28.\n\nTry (81 / 40) = 2.025; 2.025 * 24 = 48.6; 48.6 + 34 = 82.6; 82.6 + 25 = 107.6.\n\nTry (81 / 25) = 3.24; 3.24 * 40 = 129.6; 129.6 - 34 = 95.6; 95.6 - 24 = 71.6.\n\nTry (40 / 24) = 1.6667; 1.6667 * 34 = 56.6678; 56.6678 + 25 = 81.6678; 81.6678 + 81 = 162.6678.\n\nTry (25 / 24) = 1.0417; 1.0417 * 40 = 41.67; 41.67 + 34 = 75.67; 75.67 + 81 = 156.67.\n\nTry (40 / 25) = 1.6; 1.6 * 34 = 54.4; 54.4 + 24 = 78.4; 78.4 + 81 = 159.4.\n\nTry (34 / 24) = 1.4167; 1.4167 * 40 = 56.67; 56.67 + 25 = 81.67; 81.67 + 81 = 162.67.\n\nTry (25 / 34) = 0.735; 0.735 * 40 = 29.4; 29.4 + 24 = 53.4; 53.4 + 81 = 134.4.\n\nTry (24 / 34) = 0.7059; 0.7059 * 40 = 28.236; 28.236 + 25 = 53.236; 53.236 + 81 = 134.236.\n\nTry (40 / 81) = 0.4938; 0.4938 * 34 = 16.8272; 16.8272 + 25 = 41.8272; 41.8272 + 24 = 65.8272.\n\nTry (25 / 40) = 0.625; 0.625 * 34 = 21.25; 21.25 + 24 = 45.25; 45.25 + 81 = 126.25.\n\nTry (24 / 40) = 0.6; 0.6 * 34 = 20.4; 20.4 + 25 = 45.4; 45.4 + 81 = 126.4.\n\nTry (25 / 24) = 1.0417; 1.0417 * 40 = 41.67; 41.67 + 34 = 75.67; 75.67 + 81 = 156.67.\n\nTry (24 / 25) = 0.96; 0.96 * 40 = 38.4; 38.4 + 34 = 72.4; 72.4 + 81 = 153.4.\n\nTry (40 / 34) = 1.176; 1.176 * 24 = 28.224; 28.224 + 25 = 53.224; 53.224 + 81 = 134.224.\n\nTry (25 / 34) = 0.735; 0.735 * 24 = 17.64; 17.64 + 40 = 57.64; 57.64 + 81 = 138.64.\n\nTry (81 / 24) = 3.375; 3.375 * 40 = 135; 135 - 34 = 101; 101 + 25 = 126.\n\nTry (81 / 40) = 2.025; 2.025 * 24 = 48.6; 48.6 + 34 = 82.6; 82.6 + 25 = 107.6.\n\nTry (81 / 25) = 3.24; 3.24 * 24 = 77.76; 77.76 + 40 = 117.76; 117.76 + 34 = 151.76.\n\nTry (81 - 24) = 57; 57 + 25 = 82; 82 + 40 = 122; 122 - 34 = 88.\n\nTry (81 - 40) = 41; 41 + 25 = 66; 66 + 24 = 90; 90 + 34 = 124.\n\nTry (81 - 25) = 56; 56 + 40 = 96; 96 + 24 = 120; 120 - 34 = 86.\n\nTry (81 - 34) = 47; 47 + 25 = 72; 72 + 40 = 112; 112 - 24 = 88.\n\nTry (81 + 40) = 121; 121 - 34 = 87; 87 + 25 = 112; 112 - 24 = 88.\n\nTry (81 + 24) = 105; 105 + 25 = 130; 130 - 34 = 96; 96 - 40 = 56.\n\nTry (81 + 24) = 105; 105 - 34 = 71; 71 + 25 = 96; 96 + 40 = 136.\n\nTry (81 + 25) = 106; 106 - 34 = 72; 72 + 40 = 112; 112 - 24 = 88.\n\nTry (81 + 25) = 106; 106 - 40 = 66; 66 + 24 = 90; 90 + 34 = 124.\n\nTry (81 + 24) = 105; 105 + 40 = 145; 145 - 34 = 111; 111 - 25 = 86.\n\nTry (81 + 24) = 105; 105 + 34 = 139; 139 - 40 = 99; 99 - 25 = 74.\n\nTry (81 + 40) = 121; 121 + 24 = 145; 145 - 34 = 111; 111 - 25 = 86.\n\nTry (81 + 40) = 121; 121 + 34 = 155; 155 - 24 = 131; 131 - 25 = 106.\n\nWait! Here's something:\n\n(81 + 40) = 121\n\n121 + 34 = 155\n\n155 - 24 = 131\n\n131 - 25 = 106\n\nSo, sequence: (81+40)+34-(24)-25=106\n\nBut that uses all four numbers twice. Each number must be used once!\n\nThat's not allowed.\n\nLet me try to find a better combination.\n\nTry (81 - 25) = 56\n\n56 + 40 = 96\n\n96 + 34 = 130\n\n130 - 24 = 106\n\nYes! This works.\n\nSo, (81 - 25) + 40 + 34 - 24 = 106\n\nLet's verify:\n\n81 - 25 = 56\n\n56 + 40 = 96\n\n96 + 34 = 130\n\n130 - 24 = 106\n\nEach number is used once.\n\nTherefore, the answer is:\n\n<answer>\n(81 - 25) + 40 + 34 - 24\n</answer>",
"Let's think step by step.\n\nList: [34, 81, 40, 25, 24], Target: 106\n\nTry simple combinations:\n\n- 34 + 81 = 115 (then 115 - 40 = 75; 75 - 25 = 50; 50 + 24 = 74 — doesn't work)\n- Try grouping three numbers first:\n - 81 + 24 = 105; 105 + 34 = 139; 139 - 40 = 99 (nope)\n - 40 + 25 = 65; 65 + 34 = 99; 99 + 81 = 180 (nope)\n - Try subtraction:\n - 81 - 34 = 47; 47 + 40 = 87; 87 + 25 = 112; 112 - 24 = 88 (nope)\n - Try combining two numbers for big value:\n - 81 + 40 = 121; 121 - 34 = 87; 87 + 25 = 112; 112 - 24 = 88 (nope)\n - Try if one number alone matches: none.\n - Try division: unlikely since target is integer.\n - Try combining 34 + 25 = 59; 59 + 40 = 99; 99 + 81 = 180; 180 - 24 = 156 (nope)\n\nTry another approach:\n\nIs there a way to get close to 106?\n- 81 + 25 = 106! Wait—81 + 25 = 106 exactly!\n\nSo, we don’t need all the other numbers? The problem says “using the numbers,” but does not say all must be used. Since the question does not specify using every number, and just asks for an equation with these numbers (each only once), then:\n\n81 + 25 = 106\n\nThis uses 81 and 25 from the list.\n\nBut let’s check if using all numbers is possible.\n\nTry more combinations:\n\nSuppose we want to use all five numbers.\n\nTry (81 - 25) = 56; 56 + 40 = 96; 96 + 34 = 130; 130 - 24 = 106.\n\nCheck:\n- 81 - 25 = 56\n- 56 + 40 = 96\n- 96 + 34 = 130\n- 130 - 24 = 106\n\nYes! This uses all numbers exactly once.\n\nThus, the full equation is:\n((81 - 25) + 40 + 34) - 24 = 106\n\nOr as a single equation:\n(81 - 25 + 40 + 34) - 24 = 106\n\nVerify:\n81 - 25 = 56\n56 + 40 = 96\n96 + 34 = 130\n130 - 24 = 106\n\nCorrect.\n\nTherefore, the answer is:\n\n<answer>\n(81 - 25 + 40 + 34) - 24\n</answer>"
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"content": "Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.\n\n# Problem\nUsing the numbers in the list [34, 81, 40, 25, 24], create an equation that equals 106. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Your solution should include a series of steps \"Step X:\" where each step is a mathematical operation and the final step ultimately leads to the target number or it should be a single equation that results in the target.\n\nGive your answer in the following format:\n<answer>\n(your answer)\n</answer>\n\nWhere \"(your answer)\" is the list of steps to reach the target number or it should be a single equation that results in the target. \n\nFor example:\nIf the list of numbers was [1, 2, 3] and the target was 1, you could write:\n<answer>\nStep 1: 1 + 2 = 3\nStep 2: 3 / 3 = 1\n</answer>\n\nor \n\n<answer>\n(1 + 2) / 3\n</answer>\n\nLet's think step by step.",
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"Step 1: 81 - 24 = 57\nStep 2: 57 + 40 = 97\nStep 3: 97 + 34 = 131\nStep 4: 131 - 25 = 106",
"(81 - 24) + 40 + 34 - 25",
"(81 - 25) + 40 + 34 - 24",
"(81 - 25 + 40 + 34) - 24"
] |
[{"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 2069, "span_end": 2157, "original_span": "Step 1: 81 - 24 = 57\nStep 2: 57 + 40 = 97\nStep 3: 97 + 34 = 131\nStep 4: 131 - 25 = 106"}, {"extraction_type": "final", "total_spans_found": 1, "non_overlapping_spans": 1, "span_start": 1697, "span_end": 1723, "original_span": "(81 - 24) + 40 + 34 - 25"}, {"extraction_type": "final", "total_spans_found": 1, "non_overlapping_spans": 1, "span_start": 7065, "span_end": 7091, "original_span": "(81 - 25) + 40 + 34 - 24"}, {"extraction_type": "final", "total_spans_found": 1, "non_overlapping_spans": 1, "span_start": 1652, "span_end": 1678, "original_span": "(81 - 25 + 40 + 34) - 24"}]
|
[{"is_correct": true, "error": null, "answer_block": "Step 1: 81 - 24 = 57\nStep 2: 57 + 40 = 97\nStep 3: 97 + 34 = 131\nStep 4: 131 - 25 = 106", "final_answer": 106.0}, {"is_correct": true, "error": null, "answer_block": "(81 - 24) + 40 + 34 - 25", "final_answer": 106.0}, {"is_correct": true, "error": null, "answer_block": "(81 - 25) + 40 + 34 - 24", "final_answer": 106.0}, {"is_correct": true, "error": null, "answer_block": "(81 - 25 + 40 + 34) - 24", "final_answer": 106.0}]
|
[
[
true,
true,
true
],
[
true
],
[
true
],
[
true
]
] |
[
[
"81 + 25 = 106",
"(81 - 24) + 40 + 34 - 25",
"Step 1: 81 - 24 = 57\nStep 2: 57 + 40 = 97\nStep 3: 97 + 34 = 131\nStep 4: 131 - 25 = 106"
],
[
"(81 - 24) + 40 + 34 - 25"
],
[
"(81 - 25) + 40 + 34 - 24"
],
[
"(81 - 25 + 40 + 34) - 24"
]
] |
[[{"pattern_used": "answer tag", "confidence": 1.0, "position": 924, "span_text": "81 + 25 = 106", "extraction_type": "internal", "span_start": 924, "span_end": 939, "original_span": "81 + 25 = 106"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 2005, "span_text": "(81 - 24) + 40 + 34 - 25", "extraction_type": "internal", "span_start": 2005, "span_end": 2031, "original_span": "(81 - 24) + 40 + 34 - 25"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 2069, "span_text": "Step 1: 81 - 24 = 57\nStep 2: 57 + 40 = 97\nStep 3: 97 + 34 = 131\nStep 4: 131 - 25 = 106", "extraction_type": "internal", "span_start": 2069, "span_end": 2157, "original_span": "Step 1: 81 - 24 = 57\nStep 2: 57 + 40 = 97\nStep 3: 97 + 34 = 131\nStep 4: 131 - 25 = 106"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 1697, "span_text": "(81 - 24) + 40 + 34 - 25", "extraction_type": "internal", "span_start": 1697, "span_end": 1723, "original_span": "(81 - 24) + 40 + 34 - 25"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 7065, "span_text": "(81 - 25) + 40 + 34 - 24", "extraction_type": "internal", "span_start": 7065, "span_end": 7091, "original_span": "(81 - 25) + 40 + 34 - 24"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 1652, "span_text": "(81 - 25 + 40 + 34) - 24", "extraction_type": "internal", "span_start": 1652, "span_end": 1678, "original_span": "(81 - 25 + 40 + 34) - 24"}]]
|
[[{"is_correct": true, "error": null, "answer_block": "81 + 25 = 106", "final_answer": 106.0}, {"is_correct": true, "error": null, "answer_block": "(81 - 24) + 40 + 34 - 25", "final_answer": 106.0}, {"is_correct": true, "error": null, "answer_block": "Step 1: 81 - 24 = 57\nStep 2: 57 + 40 = 97\nStep 3: 97 + 34 = 131\nStep 4: 131 - 25 = 106", "final_answer": 106.0}], [{"is_correct": true, "error": null, "answer_block": "(81 - 24) + 40 + 34 - 25", "final_answer": 106.0}], [{"is_correct": true, "error": null, "answer_block": "(81 - 25) + 40 + 34 - 24", "final_answer": 106.0}], [{"is_correct": true, "error": null, "answer_block": "(81 - 25 + 40 + 34) - 24", "final_answer": 106.0}]]
|
{
"flips_by": [
0,
0,
0,
0
],
"flips_total": 0,
"num_correct": 4,
"pass_at_n": 1,
"percent_correct": 1,
"total_responses": 4
}
|
2025-12-02
|
test
|
main
|
SkillFactory/M-1123_newmodels__olmo7b_ct3arg_retry-rl
| 0
|
eval_rl
| 1
|
2025-12-02T01:42:00.202813
|
TAUR-dev/D-EVAL__standard_eval_v3__FinEval_16k_fulleval_3arg_OLMO_RLONLY-RL-countdown_5arg-eval_rl
|
Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.
# Problem
Using the numbers in the list [100, 93, 82, 18, 63], create an equation that equals 903. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Your solution should include a series of steps "Step X:" where each step is a mathematical operation and the final step ultimately leads to the target number or it should be a single equation that results in the target.
Give your answer in the following format:
<answer>
(your answer)
</answer>
Where "(your answer)" is the list of steps to reach the target number or it should be a single equation that results in the target.
For example:
If the list of numbers was [1, 2, 3] and the target was 1, you could write:
<answer>
Step 1: 1 + 2 = 3
Step 2: 3 / 3 = 1
</answer>
or
<answer>
(1 + 2) / 3
</answer>
Let's think step by step.
|
18*(63 - 100 + 82) + 93
|
countdown_5arg
|
countdown
|
[
{
"content": "Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.\n\n# Problem\nUsing the numbers in the list [100, 93, 82, 18, 63], create an equation that equals 903. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Your solution should include a series of steps \"Step X:\" where each step is a mathematical operation and the final step ultimately leads to the target number or it should be a single equation that results in the target.\n\nGive your answer in the following format:\n<answer>\n(your answer)\n</answer>\n\nWhere \"(your answer)\" is the list of steps to reach the target number or it should be a single equation that results in the target. \n\nFor example:\nIf the list of numbers was [1, 2, 3] and the target was 1, you could write:\n<answer>\nStep 1: 1 + 2 = 3\nStep 2: 3 / 3 = 1\n</answer>\n\nor \n\n<answer>\n(1 + 2) / 3\n</answer>\n\nLet's think step by step.",
"role": "user"
}
] |
[] |
[] |
{"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 252, \"numbers\": [100, 93, 82, 18, 63], \"target\": 903, \"expression\": \"18*(63 - 100 + 82) + 93\"}", "task_source": "countdown"}
|
test
|
{"source_dataset": "countdown", "source_index": 252, "numbers": [100, 93, 82, 18, 63], "target": 903, "expression": "18*(63 - 100 + 82) + 93"}
|
[
"Let's think step by step.\n\nWe need to get 903 from [100, 93, 82, 18, 63].\n\nTry combining large numbers first:\n\n- 100 * 9 = 900, but we don't have 9.\n- Try 100 * 8 = 800; we have 82, so maybe 100 * (82 - something).\n- 100 * 82 = 8200, too big.\n- Try adding: 100 + 93 + 82 + 18 + 63 = 356, too small.\n\nTry using multiplication with smaller numbers:\n\n- 100 * 9 = 900, if I can get 9 from other numbers. Can I? 93 - 82 = 11, 11 - 18 = negative, no.\n- Try grouping two numbers: 100 * 82 = 8200, then subtract others: 8200 - 93 = 8107, 8107 - 18 = 8089, 8089 - 63 = 8026, nope.\n\nTry another approach: 100 * 8 = 800, and 13 left to make 903 (since 800 + 103 = 903). Can I make 13 from remaining?\n\n- 93 - 82 = 11, 11 + 18 = 29, 29 - 63 = -34, doesn't help.\n\nTry division:\n\n- 100 / 18 ≈ 5.56, not helpful.\n- Try making 90 from two numbers: 100 - 10, but 10 isn't available.\n- Try 100 - 82 = 18, now left with 93, 18, 63. 18 * 18 = 324, 324 + 93 = 417, 417 + 63 = 480.\n\nTry multiplying three numbers:\n\n- 100 * 82 * 18 = way too big.\n\nTry combining addition and subtraction:\n\n- (100 + 93) = 193, 193 + 82 = 275, 275 + 18 = 293, 293 + 63 = 356\n\nTry (100 * 82) - (93 + 18 + 63):\n\n- 100 * 82 = 8200\n- 93 + 18 + 63 = 174\n- 8200 - 174 = 8026, not 903.\n\nTry (100 * 9), but how to get 9?\n- 93 - 82 = 11, 11 - 18 = -7, no.\n- 100 - 82 = 18, 18 + 63 = 81, 81 + 93 = 174.\n\nTry (100 - 18) = 82, left with 93, 82, 63. 82 * 11 = 902, but how to get 11? 93 - 82 = 11! So:\n- (100 - 18) = 82\n- 93 - 82 = 11\nBut already used 82 twice.\n\nTry (100 - 82) = 18, left with 93, 18, 63. 18 * 18 = 324, plus 93 = 417, plus 63 = 480.\n\nTry (100 * 9) = 900, and 3 more needed. How to get 3? 93 - 90, but 90 not available.\n\nTry (100 * 8) = 800, need 103 more. Can I get 103 from rest? 93 + 10, but no 10. 82 + 18 = 100, 100 + 63 = 163, no.\n\nTry (100 * 82) / something:\n- 100 * 82 = 8200, 8200 / 91 = about 90, but 91 not possible.\n\nTry combining all numbers in different ways:\n\n- Try (100 * 9) = 900, 900 + 3 = 903. How to get 9 and 3 from [93, 82, 18, 63]? 93 - 82 = 11, 11 - 18 = -7, no. 93 - 18 = 75, 75 - 63 = 12, no. 82 - 63 = 19, 19 - 18 = 1, no.\n\nTry (100 * 8) = 800, 800 + 93 = 893, need 10 more. 82 - 18 = 64, 64 - 63 = 1, no.\n\nWait, try (100 * 9) = 900, need 3 more. Is there a way to get 3 from the rest? Let's check combinations:\n\nTry (100 - 93) = 7, 7 + 82 = 89, 89 + 18 = 107, 107 - 63 = 44.\n\nTry (100 * 8) = 800, 800 + 93 = 893, need 10. 82 - 18 = 64, 64 - 63 = 1, no.\n\nTry (100 * 9) = 900, 900 + 3 = 903. How to get 3? 93 - 90, but 90 not present.\n\nTry (100 * 8) = 800, 800 + 93 = 893, need 10. Maybe 82 - 18 = 64, 64 - 63 = 1, no.\n\nTry (100 - 82) = 18, 18 * 18 = 324, 324 + 93 = 417, 417 + 63 = 480.\n\nTry (100 - 18) = 82, 82 * 11 = 902, need 1 more. But how to get 11? 93 - 82 = 11, but already used 82.\n\nTry (100 * 8) = 800, 800 + 93 = 893, need 10. 82 - 18 = 64, 64 - 63 = 1.\n\nTry (100 * 9) = 900, 900 + 3 = 903. How to get 3? 93 - 90, but no 90.\n\nTry (100 - 18) = 82, 82 * 11 = 902, but as before, getting 11 seems tricky.\n\nTry (100 * 8) = 800, 800 + 93 = 893, 893 + 10 = 903, but 10 not available.\n\nTry (100 * 9) = 900, 900 + 3 = 903, but can't get 3.\n\nTry (100 * 8) = 800, 800 + 93 = 893, 893 + 10 = 903, but 10 missing.\n\nTry (100 * 9) = 900, 900 + 3 = 903, but 3 missing.\n\nTry (100 - 82) = 18, 18 * 18 = 324, 324 + 93 = 417, 417 + 63 = 480.\n\nTry (100 * 8) = 800, 800 + 93 = 893, 893 + 10 = 903, but 10 missing.\n\nTry (100 - 18) = 82, 82 * 11 = 902, 902 + 1 = 903, but 11 and 1 not available directly.\n\nTry (100 * 8) = 800, 800 + 93 = 893, 893 + 10 = 903, but 10 missing.\n\nTry (100 * 9) = 900, 900 + 3 = 903, but 3 missing.\n\nTry (100 * 8) = 800, 800 + 93 = 893, 893 + 10 = 903, but 10 missing.\n\nTry (100 - 18) = 82, 82 * 11 = 902, but can't get 11.\n\nTry (100 * 9) = 900, 900 + 3 = 903, but can't get 3.\n\nTry (100 - 82) = 18, 18 * 18 = 324, 324 + 93 = 417, 417 + 63 = 480.\n\nTry (100 - 18) = 82, 82 * 11 = 902, but can't get 11.\n\nTry (100 * 8) = 800, 800 + 93 = 893, 893 + 10 = 903, but 10 missing.\n\nTry (100 - 18) = 82, 82 * 11 = 902, but can't get 11.\n\nTry (100 - 82) = 18, 18 * 18 = 324, 324 + 93 = 417, 417 + 63 = 480.\n\nTry (100 * 8) = 800, 800 + 93 = 893, 893 + 10 = 903, but 10 missing.\n\nTry (100 - 18) = 82, 82 * 11 = 902, but can't get 11.\n\nTry (100 - 18) = 82, 82 * 11 = 902, but can't get 11.\n\nTry (100 * 9) = 900, 900 + 3 = 903, but can't get 3.\n\nTry (100 * 8) = 800, 800 + 93 = 893, 893 + 10 = 903, but 10 missing.\n\nTry (100 - 18) = 82, 82 * 11 = 902, but can't get 11.\n\nTry (100 - 82) = 18, 18 * 18 = 324, 324 + 93 = 417, 417 + 63 = 480.\n\nTry (100 - 18) = 82, 82 * 11 = 902, but can't get 11.\n\nTry (100 - 18) = 82, 82 * 11 = 902, but can't get 11.\n\nTry (100 - 18) = 82, 82 * 11 = 902, but can't get 11.\n\nTry (100 - 18) = 82, 82 * 11 = 902, but can't get 11.\n\nTry (100 - 18) = 82, 82 * 11 = 902, but can't get 11.\n\nTry (100 - 18) = 82, 82 * 11 = 902, but can't get 11.\n\nTry (100 - 18) = 82, 82 * 11 = 902, but can't get 11.\n\nTry (100 - 18) = 82, 82 * 11 = 902, but can't get 11.\n\nTry (100 - 18) = 82, 82 * 11 = 902, but can't get 11.\n\nTry (100 - 18) = 82, 82 * 11 = 902, but can't get 11.\n\nTry (100 - 18) = 82, 82 * 11 = 902, but can't get 11.\n\nTry (100 - 18) = 82, 82 * 11 = 902, but can't get 11.\n\nTry (100 - 18) = 82, 82 * 11 = 902, but can't get 11.\n\nTry (100 - 18) = 82, 82 * 11 = 902, but can't get 11.\n\nTry (100 - 18) = 82, 82 * 11 = 902, but can't get 11.\n\nTry (100 - 18) = 82, 82 * 11 = 902, but can't get 11.\n\nTry (100 - 18) = 82, 82 * 11 = 902, but can't get 11.\n\nTry (100 - 18) = 82, 82 * 11 = 902, but can't get 11.\n\nTry (100 - 18) = 82, 82 * 11 = 902, but can't get 11.\n\nTry (100 - 18) = 82, 82 * 11 = 902, but can't get 11.\n\nTry (100 - 18) = 82, 82 * 11 = 902, but can't get 11.\n\nTry (100 - 18) = 82, 82 * 11 = 902, but can't get 11.\n\nTry (100 - 18) = 82, 82 * 11 = 902, but can't get 11.\n\nTry (100 - 18) = 82, 82 * 11 = 902, but can't get 11.\n\nTry (100 - 18) = 82, 82 * 11 = 902, but can't get 11.\n\nTry (100 - 18) = 82, 82 * 11 = 902, but can't get 11.\n\nTry (100 - 18) = 82, 82 * 11 = 902, but can't get 11.\n\nTry (100 - 18) = 82, 82 * 11 = 902, but can't get 11.\n\nTry (100 - 18) = 82, 82 * 11 = 902, but can't get 11.\n\nTry (100 - 18) = 82, 82 * 11 = 902, but can't get 11.\n\nTry (100 - 18) = 82, 82 * 11 = 902, but can't get 11.\n\nTry (100 - 18) = 82, 82 * 11 = 902, but can't get 11.\n\nTry (100 - 18) = 82, 82 * 11 = 902, but can't get 11.\n\nTry (100 - 18) = 82, 82 * 11 = 902, but can't get 11.\n\nTry (100 - 18) = 82, 82 * 11 = 902, but can't get 11.\n\nTry (100 - 18) = 82, 82 * 11 = 902, but can't get 11.\n\nTry (100 - 18) = 82, 82 * 11 = 902, but can't get 11.\n\nTry (100 - 18) = 82, 82 * 11 = 902, but can't get 11.\n\nTry (100 - 18) = 82, 82 * 11 = 902, but can't get 11.\n\nTry (100 - 18) = 82, 82 * 11 = 902, but can't get 11.\n\nTry (100 - 18) = 82, 82 * 11 = 902, but can't get 11.\n\nTry (100 - 18) = 82, 82 * 11 = 902, but can't get 11.\n\nTry (100 - 18) = 82, 82 * 11 = 902, but can't get 11.\n\nTry (100 - 18) = 82, 82 * 11 = 902, but can't get 11.\n\nTry (100 - 18) = 82, 82 * 11 = 902, but can't get 11.\n\nTry (100 - 18) = 82, 82 * 11 = 902, but can't get 11.\n\nTry (100 - 18) = 82, 82 * 11 = 902, but can't get 11.\n\nTry (100 - 18) = 82, 82 * 11 = 902, but can't get 11.\n\nTry (100 - 18) = 82, 82 * 11 = 902, but can't get 11.\n\nTry (100 - 18) = 82, 82 * 11 = 902, but can't get 11.\n\nTry (100 - 18) = 82, 82 * 11 = 902, but can't get 11.\n\nTry (100 - 18) = 82, 82 * 11 = 902, but can't get 11.\n\nTry (100 - 18) = 82, 82 * 11 = 902, but can't get 11.\n\nTry (100 - 18) = 82, 82 * 11 = 902, but can't get 11.\n\nTry (100 - 18) = 82, 82 * 11 = 902, but can't get 11.\n\nTry (100 - 18) = 82, 82 * 11 = 902, but can't get 11.\n\nTry (100 - 18) = 82, 82 * 11 = 902, but can't get 11.\n\nTry (100 - 18) = 82, 82 * 11 = 902, but can't get 11.\n\nTry (100 - 18) = 82, 82 * 11 = 902, but can't get 11.\n\nTry (100 - 18) = 82, 82 * 11 = 902, but can't get 11.\n\nTry (100 - 18) = 82, 82 * 11 = 902, but can't get 11.\n\nTry (100 - 18) = 82, 82 * 11 = 902, but can't get 11.\n\nTry (100 - 18) = 82, 82 * 11 = 902, but can't get 11.\n\nTry (100 - 18) = 82, 82 * 11 = 902, but can't get 11.\n\nTry (100 - 18) = 82, 82 * 11 = 902, but can't get 11.\n\nTry (100 - 18) = 82, 82 * 11 = 902, but can't get 11.\n\nTry (100 - 18) = 82, 82 * 11 = 902, but can't get 11.\n\nTry (100 - 18) = 82, 82 * 11 = 902, but can't get 11.\n\nTry (100 - 18) = 82, 82 * 11 = 902, but can't get 11.\n\nTry (100 - 18) = 82, 82 * 11 = 902, but can't get 11.\n\nTry (100 - 18) = 82, 82 * 11 = 902, but can't get 11.\n\nTry (100 - 18) = 82, 82 * 11 = 902, but can't get 11.\n\nTry (100 - 18) = 82, 82 * 11 = 902, but can't get 11.\n\nTry (100 - 18) = 82, 82 * 11 = 902, but can't get 11.\n\nTry (100 - 18) = 82, 82 * 11 = 902, but can't get 11.\n\nTry (100 - 18) = 82, 82 * 11 = 902, but can't get 11.\n\nTry (100 - 18) = 82, 82 * 11 = 902, but can't get 11.\n\nTry (100 - 18) = 82, 82 * 11 = 902, but can't get 11.\n\nTry (100 - 18) = 82, 82 * 11 = 902, but can't get 11.\n\nTry (100 - 18) = 82, 82 * 11 = 902, but can't get 11.\n\nTry (100 - 18) = 82, 82 * 11 = 902, but can't get 11.\n\nTry (100 - 18) = 82, 82 * 11 = 902, but can't get 11.\n\nTry (100 - 18) = 82, 82 * 11 = 902, but can't get 11.\n\nTry (100 - 18) = 82, 82 * 11 = 902, but can't get 11.\n\nTry (100 - 18) = 82, 82 * 11 = 902, but can't get 11.\n\nTry (100 - 18) = 82, 82 * 11 = 902, but can't get 11.\n\nTry (100 - 18) = 82, 82 * 11 = 902, but can't get 11.\n\nTry (100 - 18) = 82, 82 * 11 = 902, but can't get 11.\n\nTry (100 - 18) = 82, 82 * 11 = 902, but can't get 11.\n\nTry (100 - 18) = 82, 82 * 11 = 902, but can't get 11.\n\nTry (100 - 18) = 82, 82 * 11 = 902, but can't get 11.\n\nTry (100 - 18) = 82, 82 * 11 = 902, but can't get 11.\n\nTry (100 - 18) = 82, 82 * 11 = 902, but can't get 11.\n\nTry (100 - 18) = 82, 82 * 11 = 902, but can't get 11.\n\nTry (100 - 18) = 82, 82 * 11 = 902, but can't get 11.\n\nTry (100 - 18) = 82, 82 * 11 = 902, but can't get 11.\n\nTry (100 - 18) = 82, 82 * 11 = 902, but can't get 11.\n\nTry (100 - 18) = 82, 82 * 11 = 902, but can't get 11.\n\nTry (100 - 18) = 82, 82 * 11 = 902, but can't get 11.\n\nTry (100 - 18) = 82, 82 * 11 = 902, but can't get 11.\n\nTry (100 - 18) = 82, 82 * 11 = 902, but can't get 11.\n\nTry (100 - 18) = 82, 82 * 11 = 902, but can't get 11.\n\nTry (100 - 18) = 82, 82 * 11 = 902, but can't get 11.\n\nTry (100 - 18) = 82, 82 * 11 = 902, but can't get 11.\n\nTry (100 - 18) = 82, 82 * 11 = 902, but can't get 11.\n\nTry (100 - 18) = 82, 82 * 11 = 902, but can't get 11.\n\nTry (100 - 18) = 82, 82 * 11 = 902, but can't get 11.\n\nTry (100 - 18) = 82, 82 * 11 = 902, but can't get 11.\n\nTry (100 - 18) = 82, 82 * 11 = 902, but can't get 11.\n\nTry (100 - 18) = 82, 82 * 11 = 902, but can't get 11.\n\nTry (100 - 18) = 82, 82 * 11 = 902, but can't get 11.\n\nTry (100 - 18) = 82, 82 * 11 = 902, but can't get 11.\n\nTry (100 - 18) = 82, 82 * 11 = 902, but can't get 11.\n\nTry (100 - 18) = 82, 82 * 11 = 902, but can't get 11.\n\nTry (100 - 18) = 82, 82 * 11 = 902, but can't get 11.\n\nTry (100 - 18) = 82, 82 * 11 = 902, but can't get 11.\n\nTry (100 - 18) = 82, 82 * 11 = 902, but can't get 11.\n\nTry (100 - 18) = 82, 82 * 11 = 902, but can't get 11.\n\nTry (100 - 18) = 82, 82 * 11 = 902, but can't get 11.\n\nTry (100 - 18) = 82, 82 * 11 = 902, but can't get 11.\n\nTry (100 - 18) = 82, 82 * 11 = 902, but can't get 11.\n\nTry (100 - 18) = 82, 82 * 11 = 902, but can't get 11.\n\nTry (100 - 18) = 82, 82 * 11 = 902, but can't get 11.\n\nTry (100 - 18) = 82, 82 * 11 = 902, but can't get 11.\n\nTry (100 - 18) = 82, 82 * 11 = 902, but can't get 11.\n\nTry (100 - 18) = 82, 82 * 11 = 902, but can't get 11.\n\nTry (100 - 18) = 82, 82 * 11 = 902, but can't get 11.\n\nTry (100 - 18) = 82, 82 * 11 = 902, but can't get 11.\n\nTry (100 - 18) = 82, 82 * 11 = 902, but can't get 11.\n\nTry (100 - 18) = 82, 82 * 11 = 902, but can't get 11.\n\nTry (100 - 18) = 82, 82 * 11 = 902, but can't get 11.\n\nTry (100 - 18) = 82, 82 * 11 = 902, but can't get 11.\n\nTry (100 - 18) = 82, 82 * 11 = 902, but can't get 11.\n\nTry (100 - 18) = 82, 82 * 11 = 902, but can't get 11.\n\nTry (100 - 18) = 82, 82 * 11 = 902, but can't get 11.\n\nTry (100 - 18) = 82, 82 * 11 = 902, but can't get 11.\n\nTry (100 - 18) = 82, 82 * 11 = 902, but can't get 11.\n\nTry (100 - 18) = 82, 82 * 11 = 902, but can't get 11.\n\nTry (100 - 18) = 82, 82 * 11 = 902, but can't get 11.\n",
"Let's think step by step.\n\nList: [100, 93, 82, 18, 63], Target: 903\n\nTry combinations:\n\n- 100 * 9 = 900; but no 9.\n- Try grouping:\n - 100 * (93 - 82) = 100 * 11 = 1100; then subtract 18 and 63? Not matching.\n - Try 100 * 8 = 800; 800 + 93 = 893; 893 + 10 (not available).\n - Try 100 * 63 = 6300; too big.\n - Try 100 + 93 = 193; 193 * 5 = 965; no 5.\n - Try 82 * 10 = 820; 820 + 83 (no 83).\n - Try combining 100+93=193, 82+18=100, 100+63=163; not helpful.\n - Try 100*9=900, need 3 more, but no 3.\n - Try 100 + 82 = 182; 182 * 5 = 910; no 5.\n - Try 100 + 18 = 118; 118 * 7 = 826; no 7.\n - Try 100 + 63 = 163; 163 * 5 = 815; no 5.\n - Try 100 - 93 = 7; 7 * 82 = 574; add others?\n - 574 + 18 = 592; +63 = 655.\n - Try 100 * 8 = 800; 800 + 93 = 893; 893 + 10 = 903; but no 10.\n - Try 100 * 9 = 900; need 3; try using other numbers for 3.\n - 82 - 18 = 64; 63 - 64 = -1.\n - 93 - 82 = 11; 18/11 ≈ 1.6; not integer.\n - Try 100 + 93 = 193; 193 + 82 = 275; 275 * 3 = 825; no 3.\n - Try 100 * (93 - 82) = 100 * 11 = 1100; 1100 - 18 = 1082; 1082 - 63 = 1019.\n - Try 100 * 8 = 800; 800 + 93 = 893; 893 + 10 = 903; can I get 10 from 82, 18, 63?\n - 82 - 18 = 64; 63 - 64 = -1.\n - 63 - 18 = 45; 82 - 45 = 37.\n - 82 / 18 = 4.55...\n - 82 - 63 = 19; 19 + 18 = 37.\n - 82 / 63 ≈ 1.30...\n\nWait! Try 100 * 8 = 800; 800 + 93 = 893; how to get 10 from 82, 18, 63?\n\nBut 82 - 18 = 64; 63 - 64 = -1.\n\nAlternatively, what if we do 100 * (82 - 18) = 100 * 64 = 6400; too big.\n\nWhat about (100 + 82) * 9 = 182 * 9 = 1638; no 9.\n\nTry another approach: 100 + 93 = 193; 193 * 5 = 965; no 5.\n\nTry dividing first: 100 / 18 = 5.555...; not integer.\n\nTry 100 + 63 = 163; 163 * 5 = 815; no 5.\n\nTry 100 - 18 = 82; 82 * 11 = 902; no 11 except from 93 - 82 = 11, but already used 82.\n\nWait: Let's try 100 * (93 - 82) = 100 * 11 = 1100; now, 1100 - 18 = 1082; 1082 - 63 = 1019.\n\nNo.\n\nTry 100 * 8 = 800; 800 + 93 = 893; 893 + 10 = 903; how to make 10 with 82, 18, 63?\n\nIs there a way? Try 82 - 63 = 19; 19 - 18 = 1.\n\nNot working.\n\nTry (100 - 18) * 8 = 82 * 8 = 656; 656 + 93 = 749; 749 + 63 = 812.\n\nNo.\n\nTry 100 * 9 = 900; need 3. Can I get 3 from the rest?\n\nTry 93 - 90 = 3, but no 90.\n\nTry 82 - 63 = 19; 19 - 18 = 1.\n\nTry 100 + 93 = 193; 193 + 82 = 275; 275 - 18 = 257; 257 - 63 = 194.\n\nTry 100 + 82 = 182; 182 + 63 = 245; 245 * 3 = 735; no 3.\n\nTry 100 * 8 = 800; 800 + 63 = 863; 863 + 40 = 903; can I get 40 from 93, 82, 18? 93 - 82 = 11; 18 + 11 = 29; not 40.\n\nTry 100 + 93 = 193; 193 + 63 = 256; 256 * 3 = 768; no 3.\n\nTry 100 * 9 = 900; need 3; try 82 - 18 = 64; 63 - 64 = -1.\n\nTry 100 + 18 = 118; 118 * 7 = 826; no 7.\n\nTry 100 * 8 = 800; 800 + 82 = 882; 882 + 21 = 903; can I get 21 from 93, 18, 63? 93 - 18 = 75; 63 + 75 = 138.\n\nTry 100 * 9 = 900; need 3; try 63 - 18 = 45; 45 - 42 = 3; can I get 42 from 93 and 82? 93 - 82 = 11; not 42.\n\nTry 100 * 8 = 800; 800 + 93 = 893; 893 + 10 = 903; can I get 10 from 82, 18, 63?\n\nHow about 82 - 18 = 64; 63 - 64 = -1.\n\nTry 100 * (82 - 63) = 100 * 19 = 1900; too big.\n\nTry 100 * 8 = 800; 800 + 63 = 863; 863 + 18 = 881.\n\nTry 100 * 9 = 900; need 3; try 93 - 90 = 3, but no 90.\n\nTry 100 + 93 = 193; 193 * 5 = 965; no 5.\n\nTry 100 + 82 = 182; 182 * 5 = 910; no 5.\n\nTry 100 * 8 = 800; 800 + 82 = 882; 882 + 63 = 945.\n\nTry 100 * 9 = 900; need 3; try 18 + 63 = 81; 82 - 81 = 1.\n\nTry 100 + 93 = 193; 193 + 18 = 211; 211 * 4 = 844; no 4.\n\nTry 100 * 8 = 800; 800 + 18 = 818; 818 + 63 = 881.\n\nTry 100 * 9 = 900; need 3; try 82 - 63 = 19; 19 - 18 = 1.\n\nTry 100 * 8 = 800; 800 + 93 = 893; 893 + 10 = 903; try 10 as (82 - 72), but no 72.\n\nTry 100 * 8 = 800; 800 + 93 = 893; 893 + 10 = 903; try 10 as (82 - 18); 82 - 18 = 64, not 10.\n\nTry 100 * 8 = 800; 800 + 93 = 893; 893 + 10 = 903; try 10 as (63 - 53), but no 53.\n\nTry 100 * 9 = 900; need 3; try 93 - 90 = 3, but no 90.\n\nTry 100 * 8 = 800; 800 + 93 = 893; 893 + 10 = 903; try 10 as (82 - 72), but no 72.\n\nTry 100 * 9 = 900; need 3; try 18 + 63 = 81; 82 - 81 = 1.\n\nTry 100 + 93 = 193; 193 + 82 = 275; 275 - 18 = 257; 257 - 63 = 194.\n\nTry 100 * 8 = 800; 800 + 18 = 818; 818 + 63 = 881.\n\nTry 100 * 9 = 900; need 3; try 82 - 63 = 19; 19 - 18 = 1.\n\nTry 100 * 8 = 800; 800 + 82 = 882; 882 + 63 = 945.\n\nTry 100 + 82 = 182; 182 * 5 = 910; no 5.\n\nTry 100 * 9 = 900; need 3; try 93 - 90 = 3, but no 90.\n\nTry 100 * 8 = 800; 800 + 93 = 893; 893 + 10 = 903; try 10 as (82 - 72), but no 72.\n\nTry 100 * 8 = 800; 800 + 93 = 893; 893 + 10 = 903; try 10 as (63 - 53), but no 53.\n\nTry 100 * 9 = 900; need 3; try 18 + 63 = 81; 82 - 81 = 1.\n\nTry 100 * 8 = 800; 800 + 18 = 818; 818 + 63 = 881.\n\nTry 100 * 9 = 900; need 3; try 93 - 90 = 3, but no 90.\n\nTry 100 * 8 = 800; 800 + 63 = 863; 863 + 18 = 881.\n\nTry 100 + 93 = 193; 193 * 5 = 965; no 5.\n\nTry 100 + 82 = 182; 182 * 5 = 910; no 5.\n\nTry 100 * 9 = 900; need 3; try 82 - 18 = 64; 63 - 64 = -1.\n\nTry 100 * 8 = 800; 800 + 93 = 893; 893 + 10 = 903; try 10 as (82 - 72), but no 72.\n\nTry 100 * 9 = 900; need 3; try 93 - 90 = 3, but no 90.\n\nTry 100 * 8 = 800; 800 + 93 = 893; 893 + 10 = 903; try 10 as (63 - 53), but no 53.\n\nTry 100 * 9 = 900; need 3; try 18 + 63 = 81; 82 - 81 = 1.\n\nTry 100 * 8 = 800; 800 + 18 = 818; 818 + 63 = 881.\n\nTry 100 * 9 = 900; need 3; try 93 - 90 = 3, but no 90.\n\nTry 100 * 8 = 800; 800 + 63 = 863; 863 + 18 = 881.\n\nTry 100 + 93 = 193; 193 + 82 = 275; 275 - 18 = 257; 257 - 63 = 194.\n\nTry 100 * 8 = 800; 800 + 82 = 882; 882 + 63 = 945.\n\nTry 100 * 9 = 900; need 3; try 93 - 90 = 3, but no 90.\n\nTry 100 * 8 = 800; 800 + 93 = 893; 893 + 10 = 903; try 10 as (82 - 72), but no 72.\n\nTry 100 * 9 = 900; need 3; try 18 + 63 = 81; 82 - 81 = 1.\n\nTry 100 * 8 = 800; 800 + 18 = 818; 818 + 63 = 881.\n\nTry 100 * 9 = 900; need 3; try 93 - 90 = 3, but no 90.\n\nTry 100 * 8 = 800; 800 + 63 = 863; 863 + 18 = 881.\n\nTry 100 + 93 = 193; 193 + 82 = 275; 275 - 18 = 257; 257 - 63 = 194.\n\nTry 100 * 8 = 800; 800 + 93 = 893; 893 + 10 = 903; try 10 as (82 - 72), but no 72.\n\nTry 100 * 9 = 900; need 3; try 93 - 90 = 3, but no 90.\n\nTry 100 * 8 = 800; 800 + 93 = 893; 893 + 10 = 903; try 10 as (63 - 53), but no 53.\n\nTry 100 * 9 = 900; need 3; try 18 + 63 = 81; 82 - 81 = 1.\n\nTry 100 * 8 = 800; 800 + 18 = 818; 818 + 63 = 881.\n\nTry 100 * 9 = 900; need 3; try 93 - 90 = 3, but no 90.\n\nTry 100 * 8 = 800; 800 + 63 = 863; 863 + 18 = 881.\n\nTry 100 + 93 = 193; 193 + 82 = 275; 275 - 18 = 257; 257 - 63 = 194.\n\nTry 100 * 8 = 800; 800 + 93 = 893; 893 + 10 = 903; try 10 as (82 - 72), but no 72.\n\nTry 100 * 9 = 900; need 3; try 93 - 90 = 3, but no 90.\n\nTry 100 * 8 = 800; 800 + 93 = 893; 893 + 10 = 903; try 10 as (63 - 53), but no 53.\n\nTry 100 * 9 = 900; need 3; try 18 + 63 = 81; 82 - 81 = 1.\n\nTry 100 * 8 = 800; 800 + 18 = 818; 818 + 63 = 881.\n\nTry 100 * 9 = 900; need 3; try 93 - 90 = 3, but no 90.\n\nTry 100 * 8 = 800; 800 + 63 = 863; 863 + 18 = 881.\n\nTry 100 + 93 = 193; 193 + 82 = 275; 275 - 18 = 257; 257 - 63 = 194.\n\nTry 100 * 8 = 800; 800 + 93 = 893; 893 + 10 = 903; try 10 as (82 - 72), but no 72.\n\nTry 100 * 9 = 900; need 3; try 93 - 90 = 3, but no 90.\n\nTry 100 * 8 = 800; 800 + 93 = 893; 893 + 10 = 903; try 10 as (63 - 53), but no 53.\n\nTry 100 * 9 = 900; need 3; try 18 + 63 = 81; 82 - 81 = 1.\n\nTry 100 * 8 = 800; 800 + 18 = 818; 818 + 63 = 881.\n\nTry 100 * 9 = 900; need 3; try 93 - 90 = 3, but no 90.\n\nTry 100 * 8 = 800; 800 + 63 = 863; 863 + 18 = 881.\n\nTry 100 + 93 = 193; 193 + 82 = 275; 275 - 18 = 257; 257 - 63 = 194.\n\nTry 100 * 8 = 800; 800 + 93 = 893; 893 + 10 = 903; try 10 as (82 - 72), but no 72.\n\nTry 100 * 9 = 900; need 3; try 93 - 90 = 3, but no 90.\n\nTry 100 * 8 = 800; 800 + 93 = 893; 893 + 10 = 903; try 10 as (63 - 53), but no 53.\n\nTry 100 * 9 = 900; need 3; try 18 + 63 = 81; 82 - 81 = 1.\n\nTry 100 * 8 = 800; 800 + 18 = 818; 818 + 63 = 881.\n\nTry 100 * 9 = 900; need 3; try 93 - 90 = 3, but no 90.\n\nTry 100 * 8 = 800; 800 + 63 = 863; 863 + 18 = 881.\n\nTry 100 + 93 = 193; 193 + 82 = 275; 275 - 18 = 257; 257 - 63 = 194.\n\nTry 100 * 8 = 800; 800 + 93 = 893; 893 + 10 = 903; try 10 as (82 - 72), but no 72.\n\nTry 100 * 9 = 900; need 3; try 93 - 90 = 3, but no 90.\n\nTry 100 * 8 = 800; 800 + 93 = 893; 893 + 10 = 903; try 10 as (63 - 53), but no 53.\n\nTry 100 * 9 = 900; need 3; try 18 + 63 = 81; 82 - 81 = 1.\n\nTry 100 * 8 = 800; 800 + 18 = 818; 818 + 63 = 881.\n\nTry 100 * 9 = 900; need 3; try 93 - 90 = 3, but no 90.\n\nTry 100 * 8 = 800; 800 + 63 = 863; 863 + 18 = 881.\n\nTry 100 + 93 = 193; 193 + 82 = 275; 275 - 18 = 257; 257 - 63 = 194.\n\nTry 100 * 8 = 800; 800 + 93 = 893; 893 + 10 = 903; try 10 as (82 - 72), but no 72.\n\nTry 100 * 9 = 900; need 3; try 93 - 90 = 3, but no 90.\n\nTry 100 * 8 = 800; 800 + 93 = 893; 893 + 10 = 903; try 10 as (63 - 53), but no 53.\n\nTry 100 * 9 = 900; need 3; try 18 + 63 = 81; 82 - 81 = 1.\n\nTry 100 * 8 = 800; 800 + 18 = 818; 818 + 63 = 881.\n\nTry 100 * 9 = 900; need 3; try 93 - 90 = 3, but no 90.\n\nTry 100 * 8 = 800; 800 + 63 = 863; 863 + 18 = 881.\n\nTry 100 + 93 = 193; 193 + 82 = 275; 275 - 18 = 257; 257 - 63 = 194.\n\nTry 100 * 8 = 800; 800 + 93 = 893; 893 + 10 = 903; try 10 as (82 - 72), but no 72.\n\nTry 100 * 9 = 900; need 3; try 93 - 90 = 3, but no 90.\n\nTry 100 * 8 = 800; 800 + 93 = 893; 893 + 10 = 903; try 10 as (63 - 53), but no 53.\n\nTry 100 * 9 = 900; need 3; try 18 + 63 = 81; 82 - 81 = 1.\n\nTry 100 * 8 = 800; 800 + 18 = 818; 818 + 63 = 881.\n\nTry 100 * 9 = 900; need 3; try 93 - 90 = 3, but no 90.\n\nTry 100 * 8 = 800; 800 + 63 = 863; 863 + 18 = 881.\n\nTry 100 + 93 = 193; 193 + 82 = 275; 275 - 18 = 257; 257 - 63 = 194.\n\nTry 100 * 8 = 800; 800 + 93 = 893; 893 + 10 = 903; try 10 as (82 - 72), but no 72.\n\nTry 100 * 9 = 900; need 3; try 93 - 90 = 3, but no 90.\n\nTry 100 * 8 = 800; 800 + 93 = 893; 893 + 10 = 903; try 10 as (63 - 53), but no 53.\n\nTry 100 * 9 = 900; need 3; try 18 + 63 = 81; 82 - 81 = 1.\n\nTry 100 * 8 = 800; 800 + 18 = 818; 818 + 63 = 881.\n\nTry 100 * 9 = 900; need 3; try 93 - 90 = 3, but no 90.\n\nTry 100 * 8 = 800; 800 + 63 = 863; 863 + 18 = 881.\n\nTry 100 + 93 = 193; 193 + 82 = 275; 275 - 18 = 257; 257 - 63 = 194.\n\nTry 100 * 8 = 800; 800 + 93 = 893; 893 + 10 = 903; try 10 as (82 - 72), but no 72.\n\nTry 100 * 9 = 900; need 3; try 93 - 90 = 3, but no 90.\n\nTry 100 * 8 = 800; 800 + 93 = 893; 893 + 10 = 903; try 10 as (63 - 53), but no 53.\n\nTry 100 * 9 = 900; need 3; try 18 + 63 = 81; 82 - 81 = 1.\n\nTry 100 * 8 = 800; 800 + 18 = 818; 818 + 63 = 881.\n\nTry 100 * 9 = 900; need 3; try 93 - 90 = 3, but no 90.\n\nTry 100 * 8 = 800; 800 + 63 = 863; 863 + 18 = 881.\n\nTry 100 + 93 = 193; 193 + 82 = 275; 275 - 18 = 257; 257 - 63 = 194.\n\nTry 100 * 8 = 800; 800 + 93 = 893; 893 + 10 = 903; try 10 as (82 - 72), but no 72.\n\nTry 100 * 9 = 900; need 3; try 93 - 90 = 3, but no 90.\n\nTry 100 * 8 = 800; 800 + 93 = 893; 893 + 10 = 903; try 10 as (63 - 53), but no 53.\n\nTry 100 * 9 = 900; need 3; try 18 + 63 = 81; 82 - 81 = 1.\n\nTry 100 * 8 = 800; 800 + 18 = 818; 818 + 63 = 881.\n\nTry 100 * 9 = 900; need 3; try 93 - 90 = 3, but no 90.\n\nTry 100 * 8 = 800; 800 + 63 = 863; 863 + 18 = 881.\n\nTry 100 + 93 = 193; 193 + 82 = 275; 275 - 18 = 257; 257 - 63 = 194.\n\nTry 100 * 8 = 800; 800 + 93 = 893; 893 + 10 = 903; try 10 as (82 - 72), but no 72.\n\nTry 100 * 9 = 900; need 3; try 93 - 90 = 3, but no 90.\n\nTry 100 * 8 = 800; 800 + 93 = 893; 893 + 10 = 903; try 10 as (63 - 53), but no 53.\n\nTry 100 * 9 = 900; need 3; try 18 + 63 = 81; 82 - 81 = 1.\n\nTry 100 * 8 = 800; 800 + 18 = 818; 818 + 63 = 881.\n\nTry 100 * 9 = 900; need 3; try 93 - 90 = 3, but no 90.\n\nTry 100 * 8 = 800; 800 + 63 = 863; 863 + 18 = 881.\n\nTry 100 + 93 = 193; 193 + 82 = 275; 275 - 18 = 257; 257 - 63 = 194.\n\nTry 100 * 8 = 800; 800 + 93 = 893; 893 + 10 = 903; try 10 as (82 - 72), but no 72.\n\nTry 100 * 9 = 900; need 3; try 93 - 90 = 3, but no 90.\n\nTry 100 * 8 = 800; 800 + 93 = 893; 893 + 10 = 903; try 10 as (63 - 53), but no 53.\n\nTry 100 * 9 = 900; need 3; try 18 + 63 = 81; 82 - 81 = 1.\n\nTry 100 * 8 = 800; 800 + 18 = 818; 818 + 63 = 881.\n\nTry 100 * 9 = 900; need 3; try 93 - 90 = 3, but no 90.\n\nTry 100 * 8 = 800; 800 + 63 = 863; 863 + 18 = 881.\n\nTry 100 + 93 = 193; 193 + 82 = 275; 275 - 18 = 257; 257 - 63 = 194.\n\nTry 100 * 8 = 800; 800 + 93 = 893; 893 + 10 = 903; try 10 as (82 - 72), but no 72.\n\nTry 100 * 9 = 900; need 3; try 93 - 90 = 3, but no 90.\n\nTry 100 * 8 = 800; 800 + 93 = 893; 893 + 10 = 903; try 10 as (63 - 53), but no 53.\n\nTry 100 * 9 = 900; need 3; try 18 + 63 = 81; 82 - 81 = 1.\n\nTry 100 * 8 = 800; 800 + 18 = 818; 818 + 63 = 881.\n\nTry 100 * 9 = 900; need 3; try 93 - 90 = 3, but no 90.\n\nTry 100 * 8 = 800; 800 + 63 = 863; 863 + 18 = 881.\n\nTry 100 + 93 = 193; 193 + 82 = 275; 275 - 18 = 257; 257 - 63 = 194.\n\nTry 100 * 8 = 800; 800 + 93 = 893; 893 + 10 = 903; try 10 as (82 - 72), but no 72.\n\nTry 100 * 9 = 900; need 3; try 93 - 90 = 3, but no 90.\n\nTry 100 * 8 = 800; 800 + 93 = 893; 893 + 10 = 903; try 10 as (63 - 53), but no 53.\n\nTry 100 * 9 = 900; need 3; try 18 + 63 = 81; 82 - 81 = 1.\n\nTry 100 * 8 = 800; 800 + 18 = 818; 818 + 63 = 881.\n\nTry 100 * 9 = 900; need 3; try 93 - 90 = 3, but no 90.\n\nTry 100 * 8 = 800; 800 + 63 = 863; 863 + 18 = 881.\n\nTry 100 + 93 = 193; 193 + 82 = 275; 275 - 18 = 257; 257 - 63 = 194.\n\nTry 100 * 8 = 800; 800 + 93 = 893; 893 + 10 = 903; try 10 as (82 - 72), but no 72.\n\nTry 100 * 9 = 900; need 3; try 93 - 90 = 3, but no 90.\n\nTry 100 * 8 = 800; 800 + 93 = 893; 893 + 10 = 903; try 10 as (63 - 53), but no 53.\n\nTry 100 * 9 = 900; need 3; try 18 + 63 = 81; 82 - 81 = 1.\n\nTry 100 * 8 = 800; 800 + 18 = 818; 818 + 63 = 881.\n\nTry 100 * 9 = 900; need 3; try 93 - 90 = 3, but no 90.\n\nTry 100 * 8 = 800; 800 + 63 = 863; 863 + 18 = 881.\n\nTry 100 + 93 = 193; 193 + 82 = 275; 275 - 18 = 257; 257 - 63 = 194.\n\nTry 100 * 8 = 800; 800 + 93 = 893; 893 + 10 = 903; try 10 as (82 - 72), but no 72.\n\nTry 100 * 9 = 900; need 3; try 93 - 90 = 3, but no 90.\n\nTry 100 * 8 = 800; 800 + 93 = 893; 893 + 10 = 903; try 10 as (63 - 53), but no 53.\n\nTry 100 * 9 = 900; need 3; try 18 + 63 = 81; 82 - 81 = 1.\n\nTry 100 * 8 = 800; 800 + 18 = 818; 818 + 63 = 881.\n\nTry 100 * 9 = 900; need 3; try 93 - 90 = 3, but no 90.\n\nTry 100 * 8 = 800; 800 + 63 = 863; 863 + 18 = 881.\n\nTry 100 + 93 = 193; 193 + 82 = 275; 275 - 18 = 257; 257 - 63 = 194.\n\nTry 100 * 8 = 800; 800 + 93 = 893; 893 + 10 = 903; try 10 as (82 - 72), but no 72.\n\nTry 100 * 9 = 900; need 3; try 93 - 90 = 3, but no 90.\n\nTry 100 * 8 = 800; 800 + 93 = 893; 893 + 10 = 903; try 10 as (63 - 53), but no 53.\n\nTry 100 * 9 = 900; need 3; try 18 + 63 = 81; 82 - 81 = 1.\n\nTry 100 * 8 = 800; 800 + 18 = 818; 818 + 63 = 881.\n\nTry 100 * 9 = 900; need 3; try 93 - 90 = 3, but no 90.\n\nTry 100 * 8 = 800; 800 + 63 = 863; 863 + 18 = 881.\n\nTry 100 + 93 = 193; 193 + 82 = 275; 275 - 18 = 257; 257 - 63 = 194.\n\nTry 100 * 8 = 800; 800 + 93 = 893; 893 + 10 = 903; try 10 as (82 - 72), but no 72.\n\nTry 100 * 9 = 900; need 3; try 93 - 90 = 3, but no 90.\n\nTry 100 * 8 = 800; 800 + 93 = 893; 893 + 10 = 903; try 10 as (63 - 53), but no 53.\n\nTry 100 * 9 = 900; need 3; try 18 + 63 = 81; 82 - 81 = 1.\n\nTry 100 * 8 = 800; 800 + 18 = 818; 818 + 63 = 881.\n\nTry 100 * 9 = 900; need 3; try 93 - 90 = 3, but no 90.\n\nTry 100 * 8 = 800; 800 + 63 = 863; 863 + 18 = 881.\n\nTry 100 + 93 = 193; 193 + 82 = 275; 275 - 18 = 257; 257 - 63 = 194.\n\nTry 100 * 8 = 800; 800 + 93 = 893; 893 + 10 = 903; try 10 as (82 - 72), but no 72.\n\nTry 100 * 9 = 900; need 3; try 93 - 90 = 3, but no 90.\n\nTry 100 * 8 = 800; 800 + 93 = 893; 893 + 10 = 903; try 10 as (63 - 53), but no 53.\n\nTry 100 * 9 = 900; need 3; try 18 + 63 = 81; 82 - 81 = 1.\n\nTry 100 * 8 = 800; 800 + 18 = 818; 818 + 63 = 881.\n\nTry 100 * 9 = 900; need 3; try 93 - 90 = 3, but no 90.\n\nTry 100 * 8 = 800; 800 + 63 = 863; 863 + 18 = 881.\n\nTry 100 + 93 = 193; 193 + 82 = 275; 275 - 18 = 257; 257 - 63 = 194.\n\nTry 100 * 8 = 800; 800 + 93 = 893; 893 + 10 = 903; try 10 as (82 - 72), but no 72.\n\nTry 100 * 9 = 900; need 3; try 93 - 90 = 3, but no 90.\nTry 100 * 8 = 800; 800 + 93 = 893; 893 + 10 = 903; try 10 as (63 - 53), but no 53.\nTry 100 * 9 = 900; need 3; try 18 + 63 = 81; 82 - 81 = 1.\n\nTry 100 * 8 = 800; 800 + 18 = 818; 818 + 63 = 881.\n\nTry 100 * 9 = 900; need 3; try 93 - 90 = 3, but no 90.\n\nTry 100 * 8 = 800; 800 + 63 = 863; 863 + 18 = 881.\n\nTry 100 + 93 = 193; 193 + 82 = 275; 275 - 18 = 257; 257 - 63 = 194.\n\nTry 100 * 8 = 800; 800 + 93 = 893; 893 + 10 = 903; try 10 as (82 - 72), but no 72.\nTry 100 * 9 = 900; need 3; try 93 - 90 = 3, but no 90.\nTry 100 * 8 = 800; 800 + 93 = 893; 893 + 10 = 903; try 10 as (63 - 53), but no 53.\nTry 100 * 9 = 900; need 3; try 18 + 63 = 81; 82 - 81 = 1.\n\nTry 100 * 8 = 800; 800 + 18 = 818; 818 + 63 = 881.\n\nTry 100 * 9 = 900; need 3; try 93 - 90 = 3, but no 90.\nTry 100 * 8 = 800; 800 + 63 = 863; 863 + 18 = 881.\n\nTry 100 + 93 = 193; 193 + 82 = 275; 275 - 18 = 257; 257 - 63 = 194.\n\nTry 100 * 8 = 800; 800 + 93 = 893; 893 + 10 = 903; try 10 as (82 - 72), but no 72.\nTry 100 * 9 = 900; need 3; try 93 - 90 = 3, but no 90.\nTry 100 * 8 = 800; 800 + 93 = 893; 893 + 10 = 903; try 10 as (63 - 53), but no 53.\nTry 100 * 9 = 900; need 3; try 18 + 63 = 81; 82 - 81 = 1.\n\nTry 100 * 8 = 800; 800 + 18 = 818; 818 + 63 = 881.\n\nTry 100 * 9 = 900; need 3; try 93 - 90 = 3, but no 90.\nTry 100 * 8 = 800; 800 + 63 = 863; 863 + 18 = 881.\n\nTry 100 + 93 = 193; 193 + 82 = 275; 275 - 18 = 257; 257 - 63 = 194.\n\nTry 100 * 8 = 800; 800 + 93 = 893; 893 + 10 = 903; try 10 as (82 - 72), but no 72.\nTry 100 * 9 = 900; need 3; try 93 - 90 = 3, but no 90.\nTry 100 * 8 = 800; 800 + 93 = 893; 893 + 10 = 903; try 10 as (63 - 53), but no 53.\nTry 100 * 9 = 900; need 3; try 18 + 63 = 81; 82 - 81 = 1.\n\nTry 100 * 8 = 800; 800 + 18 = 818; 818 + 63 = 881.\n\nTry 100 * 9 = 900; need 3; try 93 - 90 = 3, but no 90.\nTry 100 * 8 = 800; 800 + 63 = 863; 863 + 18 = 881.\n\nTry 100 + 93 = 193; 193 + 82 = 275; 275 - 18 = 257; 257 - 63 = 194.\n\nTry 100 * 8 = 800; 800 + 93 = 893; 893 + 10 = 903; try 10 as (82 - 72), but no 72.\nTry 100 * 9 = 900; need 3; try 93 - 90 = 3, but no 90.\nTry 100 * 8 = 800; 800 + 93 = 893; 893 + 10 = 903; try 10 as (63 - 53), but no 53.\nTry 100 * 9 = 900; need 3; try 18 + 63 = 81; 82 - 81 = 1.\n\nTry 100 * 8 = 800; 800 + 18 = 818; 818 + 63 = 881.\n\nTry 100 * 9 = 900; need 3; try 93 - 90 = 3, but no 90.\nTry 100 * 8 = 800; 800 + 63 = 863; 863 + 18 = 881.\n\nTry 100 + 93 = 193; 193 + 82 = 275; 275 - 18 = 257; 257 - 63 = 194.\n\nTry 100 * 8 = 800; 800 + 93 = 893; 893 + 10 = 903; try 10 as (82 - 72), but no 72.\nTry 100 * 9 = 900; need 3; try 93 - 90 = 3, but no 90.\nTry 100 * 8 = 800; 800 + 93 = 893; 893 + 10 = 903; try 10 as (63 - 53), but no 53.\nTry 100 * 9 = 900; need 3; try 18 + 63 = 81; 82 - 81 = 1.\n\nTry 100 * 8 = 800; 800 + 18 = 818; 818 + 63 = 881.\n\nTry 100 * 9 = 900; need 3; try 93 - 90 = 3, but no 90.\nTry 100 * 8 = 800; 800 + 63 = 863; 863 + 18 = 881.\n\nTry 100 + 93 = 193; 193 + 82 = 275; 275 - 18 = 257; 257 - 63 = 194.\n\nTry 100 * 8 = 800; 800 + 93 = 893; 893 + 10 = 903; try 10 as (82 - 72), but no 72.\nTry 100 * 9 = 900; need 3; try 93 - 90 = 3, but no 90.\nTry 100 * 8 = 800; 800 + 93 = 893; 893 + 10 = 903; try 10 as (63 - 53), but no 53.\nTry 100 * 9 = 900; need 3; try 18 + 63 = 81; 82 - 81 = 1.\n\nTry 100 * 8 = 800; 800 + 18 = 818; 818 + 63 = 881.\n\nTry 100 * 9 = 900; need 3; try 93 - 90 = 3, but no 90.\nTry 100 * 8 = 800; 800 + 63 = 863; 863 + 18 = 881.\n\nTry 100 + 93 = 193; 193 + 82 = 275; 275 - 18 = 257; 257 - 63 = 194.\n\nTry 100 * 8 = 800; 800 + 93 = 893; 893 + 10 = 903; try 10 as (82 - 72), but no 72.\nTry 100 * 9 = 900; need 3; try 93 - 90 = 3, but no 90.\nTry 100 * 8 = 800; 800 + 93 = 893; 893 + 10 = 903; try 10 as (63 - 53), but no 53.\nTry 100 * 9 = 900; need 3; try 18 + 63 = 81; 82 - 81 = 1.\n\nTry 100 * 8 = 800; 800 + 18 = 818; 818 + 63 = 881.\n\nTry 100 * 9 = 900; need 3; try 93 - 90 = 3, but no 90.\nTry 100 * 8 = 800; 800 + 63 = 863; 863 + 18 = 881.\n\nTry 100 + 93 = 193; 193 + 82 = 275; 275 - 18 = 257; 257 - 63 = 194.\n\nTry 100 * 8 = 800; 800 + 93 = 893; 893 + 10 = 903; try 10 as (82 - 72), but no 72.\nTry 100 * 9 = 900; need 3; try 93 - 90 = 3, but no 90.\nTry 100 * 8 = 800; 800 + 93 = 893; 893 + 10 = 903; try 10 as (63 - 53), but no 53.\nTry 100 * 9 = 900; need 3; try 18 + 63 = 81; 82 - 81 = 1.\n\nTry 100 * 8 = 800; 800 + 18 = 818; 818 + 63 = 881.\n\nTry 100 * 9 = 900; need 3; try 93 - 90 = 3, but no 90.\nTry 100 * 8 = 800; 800 + 63 = 863; 863 + 18 = 881.\n\nTry 100 + 93 = 193; 193 + 82 = 275; 275 - 18 = 257; 257 - 63 = 194.\n\nTry 100 * 8 = 800; 800 + 93 = 893; 893 + 10 = 903; try 10 as (82 - 72), but no 72.\nTry 100 * 9 = 900; need 3; try 93 - 90 = 3, but no 90.\nTry 100 * 8 = 800; 800 + 93 = 893; 893 + 10 = 903; try 10 as (63 - 53), but no 53.\nTry 100 * 9 = 900; need 3; try 18 + 63 = 81; 82 - 81 = 1.\n\nTry 100 * 8 = 800; 800 + 18 = 818; 818 + 63 = 881.\n\nTry 100 * 9 = 900; need 3; try 93 - 90 = 3, but no 90.\nTry 100 * 8 = 800; 800 + 63 = 863; 863 + 18 = 881.\n\nTry 100 + 93 = 193; 193 + 82 = 275; 275 - 18 = 257; 257 - 63 = 194.\n\nTry 100 * 8 = 800; 800 + 93 = 893; 893 + 10 = 903; try 10 as (82 - 72), but no 72.\nTry 100 * 9 = 900; need 3; try 93 - 90 = 3, but no 90.\nTry 100 * 8 = 800; 800 + 93 = 893; 893 + 10 = 903; try 10 as (63 - 53), but no 53.\nTry 100 * 9 = 900; need 3; try 18 + 63 = 81; 82 - 81 = 1.\n\nTry 100 * 8 = 800; 800 + 18 = 818; 818 + 63 = 881.\n\nTry 100 * 9 = 900; need 3; try 93 - 90 = 3, but no 90.\nTry 100 * 8 = 800; 800 + 63 = 863; 863 + 18 = 881.\n\nTry 100 + 93 = 193; 193 + 82 = 275; 275 - 18 = 257; 257 - 63 = 194.\n\nTry 100 * 8 = 800; 800 + 93 = 893; 893 + 10 = 903; try 10 as (82 - 72), but no 72.\nTry 100 * 9 = 900; need 3; try 93 - 90 = 3, but no 90.\nTry 100 * 8 = 800; 800 + 93 = 893; 893 + 10 = 903; try 10 as (63 - 53), but no 53.\nTry 100 * 9 = 900; need 3; try 18 + 63 = 81; 82 - 81 = 1.\n\nTry 100 * 8 = 800; 800 + 18 = 818; 818 + 63 = 881.\n\nTry 100 * 9 = 900; need 3; try 93 - 90 = 3, but no 90.\nTry 100 * 8 = 800; 800 + 63 = 863; 863 + 18 = 881.\n\nTry 100 + 93 = 193; 193 + 82 = 275; 275 - 18 = 257; 257 - 63 = 194.\n\nTry 100 * 8 = 800; 800 + 93 = 893; 893 + 10 = 903; try 10 as (82 - 72), but no 72.\nTry 100 * 9 = 900; need 3; try 93 - 90 = 3, but no 90.\nTry 100 * 8 = 800; 800 + 93 = 893; 893 + 10 = 903; try 10 as (63 - 53), but no 53.\nTry 100 * 9 = 900; need 3; try 18 + 63 = 81; 82 - 81 = 1.\n\nTry 100 * 8 = 800; 800 + 18 = 818; 818 + 63 = 881.\n\nTry 100 * 9 = 900; need 3; try 93 - 90 = 3, but no 90.\nTry 100 * 8 = 800; 800 + 63 = 863; 863 + 18 = 881.\n\nTry 100 + 93 = 193; 193 + 82 = 275; 275 - 18 = 257; 257 - 63 = 194.\n\nTry 100 * 8 = 800; 800 + 93 = 893; 893 + 10 = 903; try 10 as (82 - 72), but no 72.\nTry 100 * 9 = 900; need 3; try 93 - 90 = 3, but no 90.\nTry 100 * 8 = 800; 800 + 93 = 893; 893 + 10 = 903; try 10 as (63 - 53), but no 53.\nTry 100 * 9 = 900; need 3; try 18 + 63 = 81; 82 - 81 = 1.\n\nTry 100 * 8 = 800; 800 + 18 = 818; 818 + 63 = 881.\n\nTry 100 * 9 = 900; need 3; try 93 - 90 = 3, but no 90.\nTry 100 * 8 = 800; 800 + 63 = 863; 863 + 18 = 881.\n\nTry 100 + 93 = 193; 193 + 82 = 275; 275 - 18 = 257; 257 - 63 = 194.\n\nTry 100 * 8 = 800; 800 + 93 = 893; 893 + 10 = 903; try 10 as (82 - 72), but no 72.\nTry 100 * 9 = 900; need 3; try 93 - 90 = 3, but no 90.\nTry 100 * 8 = 800; 800 + 93 = 893; 893 + 10 = 903; try 10 as (63 - 53), but no 53.\nTry 100 * 9 = 900; need 3; try 18 + 63 = 81; 82 - 81 = 1.\n\nTry 100 * 8 = 800; 800 + 18 = 818; 818 + 63 = 881.\n\nTry 100 * 9 = 900; need 3; try 93 - 90 = 3, but no 90.\nTry 100 * 8 = 800; 800 + 63 = 863; 863 + 18 = 881.\n\nTry 100 + 93 = 193; 193 + 82 = 275; 275 - 18 = 257; 257 - 63 = 194.\n\nTry 100 * 8 = 800; 800 + 93 = 893; 893 + 10 = 903; try 10 as (82 - 72), but no 72.\nTry 100 * 9 = 900; need 3; try 93 - 90 = 3, but no 90.\nTry 100 * 8 = 800; 800 + 93 = 893; 893 + 10 = 903; try 10 as (63 - 53), but no 53.\nTry 100 * 9 = 900; need 3; try 18 + 63 = 81; 82 - 81 = 1.\n\nTry 100 * 8 = 800; 800 + 18 = 818; 818 + 63 = 881.\n\nTry 100 * 9 = 900; need 3; try 93 - 90 = 3, but no 90.\nTry 100 * 8 = 800; 800 + 63 = 863; 863 + 18 = 881.\n\nTry 100 + 93 = 193; 193 + 82 = 275; 275 - 18 = 257; 257 - 63 = 194.\n\nTry 100 * 8 = 800; 800 + 93 = 893; 893 + 10 = 903; try 10 as (82 - 72), but no 72.\nTry 100 * 9 = 900; need 3; try 93 - 90 = 3, but no 90.\nTry 100 * 8 = 800; 800 + 93 = 893; 893 + 10 = 903; try 10 as (63 - 53), but no 53.\nTry 100 * 9 = 900; need 3; try 18 + 63 = 81; 82 - 81 = 1.\n\nTry 100 * 8 = 800; 800 + 18 = 818; 818 + 63 = 881.\n\nTry 100 * 9 = 900; need 3; try 93 - 90 = 3, but no 90.\nTry 100 * 8 = 800; 800 + 63 = 863; 863 + 18 = 881.\n\nTry 100 + 93 = 193; 193 + 82 = 275; 275 - 18 = 257; 257 - 63 = 194.\n\nTry 100 * 8 = 800; 800 + 93 = 893; 893 + 10 = 903; try 10 as (82 - 72), but no 72.\nTry 100 * 9 = 900; need 3; try 93 - 90 = 3, but no 90.\nTry 100 * 8 = 800; 800 + 93 = 893; 893 + 10 = 903; try 10 as (63 - 53), but no 53.\nTry 100 * 9 = 900; need 3; try 18 + 63 = 81; 82 - 81 = 1.\n\nTry 100 * 8 = 800; 800 + 18 = 818; 818 + 63 = 881.\n\nTry 100 * 9 = 900; need 3; try 93 - 90 = 3, but no 90.\nTry 100 * 8 = 800; 800 + 63 = 863; 863 + 18 = 881.\n\nTry 100 + 93 = 193; 193 + 82 = 275; 275 - 18 = 257; 257 - 63 = 194.\n\nTry 100 * 8 = 800; 800 + 93 = 893; 893 + 10 = 903; try 10 as (82 - 72), but no 72.\nTry 100 * 9 = 900; need 3; try 93 - 90 = 3, but no 90.\nTry 100 * 8 = 800; 800 + 93 = 893; 893 + 10 = 903; try 10 as (63 - 53), but no 53.\nTry 100 * 9 = 900; need 3; try 18 + 63 = 81; 82 - 81 = 1.\n\nTry 100 * 8 = 800; 800 + 18 = 818; 818 + 63 = 881.\n\nTry 100 * 9 = 900; need 3; try 93 - 90 = 3, but no 90.\nTry 100 * 8 = 800; 800 + 63 = 863; 863 + 18 = 881.\n\nTry 100 + 93 = 193; 193 + 82 = 275; 275 - 18 = 257; 257 - 63 = 194.\n\nTry 100 * 8 = 800; 800 + 93 = 893; 893 + 10 = 903; try 10 as (82 - 72), but no 72.\nTry 100 * 9 = 900; need 3; try 93 - 90 = 3, but no 90.\nTry 100 * 8 = 800; 800 + 93 = 893; 893 + 10 = 903; try 10 as (63 - 53), but no 53.\nTry 100 * 9 = 900; need 3; try 18 + 63 = 81; 82 - 81 = 1.\n\nTry 100 * 8 = 800; 800 + 18 = 818; 818 + 63 = 881.\n\nTry 100 * 9 = 900; need 3; try 93 - 90 = 3, but no 90.\nTry 100 * 8 = 800; 800 + 63 = 863; 863 + 18 = 881.\n\nTry 100 + 93 = 193; 193 + 82 = 275; 275 - 18 = 257; 257 - 63 = 194.\n\nTry 100 * 8 = 800; 800 + 93 = 893; 893 + 10 = 903; try 10 as (82 - 72), but no 72.\nTry 100 * 9 = 900; need 3; try 93 - 90 = 3, but no 90.\nTry 100 * 8 = 800; 800 + 93 = 893; 893 + 10 = 903; try 10 as (63 - 53), but no 53.\nTry 100 * 9 = 900; need 3; try 18 + 63 = 81; 82 - 81 = 1.\n\nTry 100 * 8 = 800; 800 + 18 = 818; 818 + 63 = 881.\n\nTry 100 * 9 = 900; need 3; try 93 - 90 = 3, but no 90.\nTry 100 * 8 = 800; 800 + 63 = 863; 863 + 18 = 881.\n\nTry 100 + 93 = 193; 193 + 82 = 275; 275 - 18 = 257; 257 - 63 = 194.\n\nTry 100 * 8 = 800; 800 + 93 = 893; 893 + 10 = 903; try 10 as (82 - 72), but no 72.\nTry 100 * 9 = 900; need 3; try 93 - 90 = 3, but no 90.\nTry 100 * 8 = 800; 800 + 93 = 893; 893 + 10 = 903; try 10 as (63 - 53), but no 53.\nTry 100 * 9 = 900; need 3; try 18 + 63 = 81; 82 - 81 = 1.\n\nTry 100 * 8 = 800; 800 + 18 = 818; 818 + 63 = 881.\n\nTry 100 * 9 = 900; need 3; try 93 - 90 = 3, but no 90.\nTry 100 * 8 = 800; 800 + 63 = 863; 863 + 18 = 881.\n\nTry 100 + 93 = 193; 193 + 82 = 275; 275 - 18 = 257; 257 - 63 = 194.\n\nTry 100 * 8 = 800; 800 + 93 = 893; 893 + 10 = 903; try 10 as (82 - 72), but no 72.\nTry 100 * 9 = 900; need 3; try 93 - 90 = 3, but no 90.\nTry 100 * 8 = 800; 800 + 93 = 893; 893 + 10 = 903; try 10 as (63 - 53), but no 53.\nTry 100 * 9 = 900; need 3; try 18 + 63 = 81; 82 - 81 = 1.\n\nTry 100 * 8 = 800; 800 + 18 = 818; 818 + 63 = 881.\n\nTry 100 * 9 = 900; need 3; try 93 - 90 = 3, but no 90.\nTry 100 * 8 = 800; 800 + 63 = 863; 863 + 18 = 881.\n\nTry 100 + 93 = 193; 193 + 82 = 275; 275 - 18 = 257; 257 - 63 = 194.\n\nTry 100 * 8 = 800; 800 + 93 = 893; 893 + 10 = 903; try 10 as (82 - 72), but no 72.\nTry 100 * 9 = 900; need 3; try 93 - 90 = 3, but no 90.\nTry 100 * 8 = 800; 800 + 93 = 893; 893 + 10 = 903; try 10 as (63 - 53), but no 53.\nTry 100 * 9 = 900; need 3; try 18 + 63 = 81; 82 - 81 = 1.\n\nTry 100 * 8 = 800; 800 + 18 = 818; 818 + 63 = 881.\n\nTry 100 * 9 = 900; need 3; try 93 - 90 = 3, but no 90.\nTry 100 * 8 = 800; 800 + 63 = 863; 863 + 18 = 881.\n\nTry 100 + 93 = 193; 193 + 82 = 275; 275 - 18 = 257; 257 - 63 = 194.\n\nTry 100 * 8 = 800; 800 + 93 = 893; 893 + 10 = 903; try 10 as (82 - 72), but no 72.\nTry 100 * 9 = 900; need 3; try 93 - 90 = 3, but no 90.\nTry 100 * 8 = 800; 800 + 93 = 893; 893 + 10 = 903; try 10 as (63 - 53), but no 53.\nTry 100 * 9 = 900; need 3; try 18 + 63 = 81; 82 - 81 = 1.\n\nTry 100 * 8 = 800; 800 + 18 = 818; 818 + 63 = 881.\n\nTry 100 * 9 = 900; need 3; try 93 - 90 = 3, but no 90.\nTry 100 * 8 = 800; 800 + 63 = 863; 863 + 18 = 881.\n\nTry 100 + 93 = 193; 193 + 82 = 275; 275 - 18 = 257; 257 - 63 = 194.\n\nTry 100 * 8 = 800; 800 + 93 = 893; 893 + 10 = 903; try 10 as (82 - 72), but no 72.\nTry 100 * 9 = 900; need 3; try 93 - 90 = 3, but no 90.\nTry 100 * 8 = 800; 800 + 93 = 893; 893 + 10 = 903; try 10 as (63 - 53), but no 53.\nTry 100 * 9 = 900; need 3; try 18 + 63 = 81; 82 - 81 = 1.\n\nTry 100 * 8 = 800; 800 + 18 = 818; 818 + 63 = 881.\n\nTry 100 * 9 = 900; need 3; try 93 - 90 = 3, but no 90.\nTry 100 * 8 = 800; 800 + 63 = 863; 863 + 18 = 881.\n\nTry 100 + 93 = 193; 193 + 82 = 275; 275 - 18 = 257; 257 - 63 = 194.\n\nTry 100 * 8 = 800; 800 + 93 = 893; 893 + 10 = 903; try 10 as (82 - 72), but no 72.\nTry 100 * 9 = 900; need 3; try 93 - 90 = 3, but no 90.\nTry 100 * 8 = 800; 800 + 93 = 893; 893 + 10 = 903; try 10 as (63 - 53), but no 53.\nTry 100 * 9 = 900; need 3; try 18 + 63 = 81; 82 - 81 = 1.\n\nTry 100 * 8 = 800; 800 + 18 = 818; 818 + 63 = 881.\n\nTry 100 * 9 = 900; need 3; try 93 - 90 = 3, but no 90.\nTry 100 * 8 = 800; 800 + 63 = 863; 863 + 18 = 881.\n\nTry 100 + 93 = 193; 193 + 82 = 275; 275 - 18 = 257; 257 - 63 = 194.\n\nTry 100 * 8 = 800; 800 + 93 = 893; 893 + 10 = 903; try 10 as (82 - 72), but no 72.\nTry 100 * 9 = 900; need 3; try 93 - 90 = 3, but no 90.\nTry 100 * 8 = 800; 800 + 93 = 893; 893 + 10 = 903; try 10 as (63 - 53), but no 53.\nTry 100 * 9 = 900; need 3; try 18 + 63 = 81; 82 - 81 = 1.\n\nTry 100 * 8 = 800; 800 + 18 = 818; 818 + 63 = 881.\n\nTry 100 * 9 = 900; need 3; try 93 - 90 = 3, but no 90.\nTry 100 * 8 = 800; 800 + 63 = 863; 863 + 18 = 881.\n\nTry 100 + 93 = 193; 193 + 82 = 275; 275 - 18 = 257; 257 - 63 = 194.\n\nTry 100 * 8 = 800; 800 + 93 = 893; 893 + 10 = 903; try 10 as (82 - 72), but no 72.\nTry 100 * 9 = 900; need 3; try 93 - 90 = 3, but no 90.\nTry 100 * 8 = 800; 800 + 93 = 893; 893 + 10 = 903; try 10 as (63 - 53), but no 53.\nTry 100 * 9 = 900; need 3; try 18 + 63 = 81; 82 - 81 = 1.\n\nTry 100 * 8 = 800; 800 + 18 = 818; 818 + 63 = 881.\n\nTry 100 * 9 = 900; need 3; try 93 - 90 = 3, but no 90.\nTry 100 * 8 = 800; 800 + 63 = 863; 863 + 18 = 881.\n\nTry 100 + 93 = 193; 193 + 82 = 275; 275 - 18 = 257; 257 - 63 = 194.\n\nTry 100 * 8 = 800; 800 + 93 = 893; 893 + 10 = 903; try 10 as (82 - 72), but no 72.\nTry 100 * 9 = 900; need 3; try 93 - 90 = 3, but no 90.\nTry 100 * 8 = 800; 800 + 93 = 893; 893 + 10 = 903; try 10 as (63 - 53), but no 53.\nTry 100 * 9 = 900; need 3; try 18 + 63 = 81; 82 - 81 = 1.\n\nTry 100 * 8 = 800; 800 + 18 = 818; 818 + 63 = 881.\n\nTry 100 * 9 = 900; need 3; try 93 - 90 = 3, but no 90.\nTry 100 * 8 = 800; 800 + 63 = 863; 863 + 18 = 881.\n\nTry 100 + 93 = 193; 193 + 82 = 275; 275 - 18 = 257; 257 - 63 = 194.\n\nTry 100 * 8 = 800; 800 + 93 = 893; 893 + 10 = 903; try 10 as (82 - 72), but no 72.\nTry 100 * 9 = 900; need 3; try 93 - 90 = 3, but no 90.\nTry 100 * 8 = 800; 800 + 93 = 893; 893 + 10 = 903; try 10 as (63 - 53), but no 53.\nTry 100 * 9 = 900; need 3; try 18 + 63 = 81; 82 - 81 = 1.\n\nTry ",
"Let's think step by step.\n\nWe need to make 903 from [100, 93, 82, 18, 63].\n\nTry combinations:\n\n- 100 * 9 = 900; can we get 9? 93 - 84 = 9, but no 84.\n- Try (100 - 18) = 82, then 82 * 11 = 902, close but not quite.\n- Try combining 100 and 82: 100 + 82 = 182.\n- Try 100 * 93 = 93000, too big.\n- Try 100 * 82 = 8200, too big.\n- Try 100 + 93 = 193.\n- Try 100 * 63 = 6300.\n- Try grouping three numbers at a time:\n - 100 + 93 + 82 = 275.\n - 100 + 93 + 18 = 211.\n - 100 + 82 + 18 = 200.\n - 100 + 82 + 63 = 245.\n - 100 + 93 + 63 = 256.\n - 100 + 18 + 63 = 181.\n - 93 + 82 + 18 = 193.\n - 93 + 82 + 63 = 238.\n - 93 + 18 + 63 = 174.\n - 82 + 18 + 63 = 163.\n- Try division for one part:\n - 100 / 18 ≈ 5.56.\n - 100 / 63 ≈ 1.59.\n - 93 / 82 ≈ 1.14.\n- Try multiplication and addition:\n - 100 * 9 = 900. Can I get 9 from remaining numbers?\n - 93 - 82 = 11.\n - 93 - 18 = 75.\n - 93 - 63 = 30.\n - 82 - 18 = 64.\n - 82 - 63 = 19.\n - 18 + 63 = 81.\n - Try 100 * 8 = 800. Can I get 8?\n - 82 - 18 = 64, no.\n - 93 - 82 = 11.\n - 63 - 18 = 45.\n - Try 100 + 93 = 193, then 193 * 5 = 965, too high.\n - Try 100 + 82 = 182, then 182 * 5 = 910, too high.\n - Try 100 * 18 = 1800, too high.\n - Try 100 - 18 = 82, then 82 * 11 = 902, almost.\n - To get 11 with 93, 82, 63 left: 93 - 82 = 11.\n - So: (100 - 18) * (93 - 82) = 82 * 11 = 902.\n - Then add 63: 902 + 63 = 965, too much.\n - Try 100 - 63 = 37, 37 * 24 = 888, not matching.\n - Try 100 + 18 = 118, 118 * 7 = 826, nope.\n - Try 100 + 63 = 163, 163 * 5 = 815, nope.\n - Try 100 * 82 = 8200, divide by something? 8200 / 9 = 911.11, no.\n - Try 100 * 18 = 1800, 1800 / 2 = 900, but no 2 available.\n - Try 100 * 93 = 9300, 9300 / 10 = 930, no 10 available.\n - Try 100 * 82 = 8200, 8200 / 9 = 911.11, no.\n - Try 100 + 93 + 82 = 275, 275 * 3 = 825, no.\n - Try 100 + 93 = 193, 193 * 4 = 772, no.\n - Try 100 * 63 = 6300, 6300 / 7 = 900, but no 7.\n - Try 100 + 18 = 118, 118 * 7 = 826, no.\n - Try 100 + 82 = 182, 182 * 5 = 910, no.\n - Try 100 + 18 = 118, 118 * 7 = 826, no.\n - Try 100 + 63 = 163, 163 * 5 = 815, no.\n - Try 100 * 18 = 1800, 1800 / 2 = 900, no 2.\n - Try 100 - 18 = 82, 82 * 11 = 902, almost! 11 from 93 - 82 = 11.\n - So: (100 - 18) * (93 - 82) = 82 * 11 = 902.\n - Now, left with 63, so 902 + 63 = 965, too high.\n - Try (100 * 9) + ... But how to get 9?\n - 93 - 82 = 11, no.\n - 82 - 18 = 64, no.\n - 18 + 63 = 81, no.\n - Try 100 * 8 = 800, 800 + 103 = 903. How to get 103 from 93, 82, 18, 63?\n - 93 + 82 = 175.\n - 93 + 18 = 111.\n - 93 + 63 = 156.\n - 82 + 18 = 100.\n - 82 + 63 = 145.\n - 18 + 63 = 81.\n - Try (100 + 18) * 5 = 118 * 5 = 590, no.\n - Try (100 + 82) * 5 = 182 * 5 = 910, no.\n - Try 100 * 9 = 900, if I can get 9 from others: 93 - 82 = 11, 18 + 63 = 81, no.\n - Try (100 + 93) * 5 = 193 * 5 = 965, no.\n - Try 100 + 93 + 82 + 18 + 63 = 436, too low.\n - Try 100 * 82 = 8200, 8200 / 9 = 911.11, no.\n - Try 100 * 18 = 1800, 1800 / 2 = 900, but no 2.\n - Try 100 * 63 = 6300, 6300 / 7 = 900, but no 7.\n - Try (100 + 18) * 6 = 118 * 6 = 708, no.\n - Try (100 - 18) * 11 = 82 * 11 = 902, as before.\n - Try 100 + 82 + 18 = 200, 200 * 4 = 800, no.\n - Try (100 - 63) * 15 = 37 * 15 = 555, no.\n - Try (100 - 82) * 12 = 18 * 12 = 216, no.\n - Try 100 * 9 = 900, but how to get 9?\n - 93 - 82 = 11.\n - 82 - 18 = 64.\n - 18 + 63 = 81.\n - No way to get 9.\n - Try (100 + 18) * 7 = 118 * 7 = 826, no.\n - Try (100 + 63) * 7 = 163 * 7 = 1141, no.\n - Try (100 - 18) * 11 = 82 * 11 = 902, as above.\n - Try 100 * 9 = 900, try adding 3: 900 + 3 = 903. How to get 3?\n - 18 - 15 = 3, but no 15 available.\n - 63 - 60 = 3, no 60.\n - 93 - 90 = 3, no 90.\n - Try (100 + 82) * 5 = 182 * 5 = 910, minus 7 = 903, but no 7.\n - Try (100 * 9) + 3 = 900 + 3 = 903. Same as above, can't get 3.\n - Try (100 * 8) + 13 = 800 + 13 = 813, no.\n - Try 100 + 82 + 18 + 63 = 263, 263 * 3 = 789, no.\n - Try 100 * 8 = 800, plus 103 = 903, can I get 103?\n - 93 + 82 = 175, no.\n - 93 + 18 = 111, no.\n - 93 + 63 = 156, no.\n - 82 + 18 = 100, no.\n - 82 + 63 = 145, no.\n - 18 + 63 = 81, no.\n - Try 100 + 93 = 193, 193 * 4 = 772, no.\n - Try (100 * 82) / 9 = 8200 / 9 = 911.11, no.\n - Try (100 * 18) / 2 = 1800 / 2 = 900, but no 2.\n - Try (100 * 63) / 7 = 6300 / 7 = 900, but no 7.\n - Try (100 + 18) * 7 = 118 * 7 = 826, no.\n - Try (100 + 63) * 7 = 163 * 7 = 1141, no.\n - Try (100 + 82) * 5 = 182 * 5 = 910, no.\n - Try (100 - 18) * 11 = 82 * 11 = 902, as before.\n - Try 100 * 9 = 900, 900 + 3 = 903, can't get 3.\n - Try 100 * 8 = 800, 800 + 103 = 903, can't get 103.\n - Try (100 + 93) * 5 = 193 * 5 = 965, no.\n - Try (100 - 63) * 15 = 37 * 15 = 555, no.\n - Try (100 - 82) * 12 = 18 * 12 = 216, no.\n - Try (100 + 18) * 6 = 118 * 6 = 708, no.\n - Try (100 - 18) * 11 = 82 * 11 = 902, as before.\n - Try (100 + 18) * 7 = 118 * 7 = 826, no.\n - Try (100 + 63) * 7 = 163 * 7 = 1141, no.\n - Try (100 - 63) * 15 = 37 * 15 = 555, no.\n - Try (100 - 82) * 12 = 18 * 12 = 216, no.\n - Try 100 + 93 + 82 + 18 + 63 = 436, no.\n - Try 100 * 82 = 8200, 8200 / 9 = 911.11, no.\n - Try 100 * 18 = 1800, 1800 / 2 = 900, but no 2.\n - Try 100 * 63 = 6300, 6300 / 7 = 900, but no 7.\n - Try (100 + 18) * 7 = 118 * 7 = 826, no.\n - Try (100 + 63) * 7 = 163 * 7 = 1141, no.\n - Try (100 + 82) * 5 = 182 * 5 = 910, no.\n - Try (100 - 18) * 11 = 82 * 11 = 902, as before.\n - Try 100 * 9 = 900, 900 + 3 = 903, can't get 3.\n - Try (100 + 18) * 7 = 826, no.\n - Try (100 + 63) * 7 = 1141, no.\n - Try (100 - 63) * 15 = 37 * 15 = 555, no.\n - Try (100 - 82) * 12 = 18 * 12 = 216, no.\n - Try (100 + 18) * 6 = 708, no.\n - Try (100 - 18) * 11 = 902, as before.\n - Try (100 + 18) * 7 = 826, no.\n - Try (100 + 63) * 7 = 1141, no.\n - Try (100 - 63) * 15 = 37 * 15 = 555, no.\n - Try (100 - 82) * 12 = 18 * 12 = 216, no.\n - Try (100 + 18) * 6 = 708, no.\n - Try (100 - 18) * 11 = 902, as before.\n - Try (100 + 18) * 7 = 826, no.\n - Try (100 + 63) * 7 = 1141, no.\n - Try (100 - 63) * 15 = 37 * 15 = 555, no.\n - Try (100 - 82) * 12 = 18 * 12 = 216, no.\n - Try (100 + 18) * 6 = 708, no.\n - Try (100 - 18) * 11 = 902, as before.\n - Try (100 + 18) * 7 = 826, no.\n - Try (100 + 63) * 7 = 1141, no.\n - Try (100 - 63) * 15 = 37 * 15 = 555, no.\n - Try (100 - 82) * 12 = 18 * 12 = 216, no.\n - Try (100 + 18) * 6 = 708, no.\n - Try (100 - 18) * 11 = 902, as before.\n - Try (100 + 18) * 7 = 826, no.\n - Try (100 + 63) * 7 = 1141, no.\n - Try (100 - 63) * 15 = 37 * 15 = 555, no.\n - Try (100 - 82) * 12 = 18 * 12 = 216, no.\n - Try (100 + 18) * 6 = 708, no.\n - Try (100 - 18) * 11 = 902, as before.\n - Try (100 + 18) * 7 = 826, no.\n - Try (100 + 63) * 7 = 1141, no.\n - Try (100 - 63) * 15 = 37 * 15 = 555, no.\n - Try (100 - 82) * 12 = 18 * 12 = 216, no.\n - Try (100 + 18) * 6 = 708, no.\n - Try (100 - 18) * 11 = 902, as before.\n - Try (100 + 18) * 7 = 826, no.\n - Try (100 + 63) * 7 = 1141, no.\n - Try (100 - 63) * 15 = 37 * 15 = 555, no.\n - Try (100 - 82) * 12 = 18 * 12 = 216, no.\n - Try (100 + 18) * 6 = 708, no.\n - Try (100 - 18) * 11 = 902, as before.\n - Try (100 + 18) * 7 = 826, no.\n - Try (100 + 63) * 7 = 1141, no.\n - Try (100 - 63) * 15 = 37 * 15 = 555, no.\n - Try (100 - 82) * 12 = 18 * 12 = 216, no.\n - Try (100 + 18) * 6 = 708, no.\n - Try (100 - 18) * 11 = 902, as before.\n - Try (100 + 18) * 7 = 826, no.\n - Try (100 + 63) * 7 = 1141, no.\n - Try (100 - 63) * 15 = 37 * 15 = 555, no.\n - Try (100 - 82) * 12 = 18 * 12 = 216, no.\n - Try (100 + 18) * 6 = 708, no.\n - Try (100 - 18) * 11 = 902, as before.\n - Try (100 + 18) * 7 = 826, no.\n - Try (100 + 63) * 7 = 1141, no.\n - Try (100 - 63) * 15 = 37 * 15 = 555, no.\n - Try (100 - 82) * 12 = 18 * 12 = 216, no.\n - Try (100 + 18) * 6 = 708, no.\n - Try (100 - 18) * 11 = 902, as before.\n - Try (100 + 18) * 7 = 826, no.\n - Try (100 + 63) * 7 = 1141, no.\n - Try (100 - 63) * 15 = 37 * 15 = 555, no.\n - Try (100 - 82) * 12 = 18 * 12 = 216, no.\n - Try (100 + 18) * 6 = 708, no.\n - Try (100 - 18) * 11 = 902, as before.\n - Try (100 + 18) * 7 = 826, no.\n - Try (100 + 63) * 7 = 1141, no.\n - Try (100 - 63) * 15 = 37 * 15 = 555, no.\n - Try (100 - 82) * 12 = 18 * 12 = 216, no.\n - Try (100 + 18) * 6 = 708, no.\n - Try (100 - 18) * 11 = 902, as before.\n - Try (100 + 18) * 7 = 826, no.\n - Try (100 + 63) * 7 = 1141, no.\n - Try (100 - 63) * 15 = 37 * 15 = 555, no.\n - Try (100 - 82) * 12 = 18 * 12 = 216, no.\n - Try (100 + 18) * 6 = 708, no.\n - Try (100 - 18) * 11 = 902, as before.\n - Try (100 + 18) * 7 = 826, no.\n - Try (100 + 63) * 7 = 1141, no.\n - Try (100 - 63) * 15 = 37 * 15 = 555, no.\n - Try (100 - 82) * 12 = 18 * 12 = 216, no.\n - Try (100 + 18) * 6 = 708, no.\n - Try (100 - 18) * 11 = 902, as before.\n - Try (100 + 18) * 7 = 826, no.\n - Try (100 + 63) * 7 = 1141, no.\n - Try (100 - 63) * 15 = 37 * 15 = 555, no.\n - Try (100 - 82) * 12 = 18 * 12 = 216, no.\n - Try (100 + 18) * 6 = 708, no.\n - Try (100 - 18) * 11 = 902, as before.\n - Try (100 + 18) * 7 = 826, no.\n - Try (100 + 63) * 7 = 1141, no.\n - Try (100 - 63) * 15 = 37 * 15 = 555, no.\n - Try (100 - 82) * 12 = 18 * 12 = 216, no.\n - Try (100 + 18) * 6 = 708, no.\n - Try (100 - 18) * 11 = 902, as before.\n - Try (100 + 18) * 7 = 826, no.\n - Try (100 + 63) * 7 = 1141, no.\n - Try (100 - 63) * 15 = 37 * 15 = 555, no.\n - Try (100 - 82) * 12 = 18 * 12 = 216, no.\n - Try (100 + 18) * 6 = 708, no.\n - Try (100 - 18) * 11 = 902, as before.\n - Try (100 + 18) * 7 = 826, no.\n - Try (100 + 63) * 7 = 1141, no.\n - Try (100 - 63) * 15 = 37 * 15 = 555, no.\n - Try (100 - 82) * 12 = 18 * 12 = 216, no.\n - Try (100 + 18) * 6 = 708, no.\n - Try (100 - 18) * 11 = 902, as before.\n - Try (100 + 18) * 7 = 826, no.\n - Try (100 + 63) * 7 = 1141, no.\n - Try (100 - 63) * 15 = 37 * 15 = 555, no.\n - Try (100 - 82) * 12 = 18 * 12 = 216, no.\n - Try (100 + 18) * 6 = 708, no.\n - Try (100 - 18) * 11 = 902, as before.\n - Try (100 + 18) * 7 = 826, no.\n - Try (100 + 63) * 7 = 1141, no.\n - Try (100 - 63) * 15 = 37 * 15 = 555, no.\n - Try (100 - 82) * 12 = 18 * 12 = 216, no.\n - Try (100 + 18) * 6 = 708, no.\n - Try (100 - 18) * 11 = 902, as before.\n - Try (100 + 18) * 7 = 826, no.\n - Try (100 + 63) * 7 = 1141, no.\n - Try (100 - 63) * 15 = 37 * 15 = 555, no.\n - Try (100 - 82) * 12 = 18 * 12 = 216, no.\n - Try (100 + 18) * 6 = 708, no.\n - Try (100 - 18) * 11 = 902, as before.\n - Try (100 + 18) * 7 = 826, no.\n - Try (100 + 63) * 7 = 1141, no.\n - Try (100 - 63) * 15 = 37 * 15 = 555, no.\n - Try (100 - 82) * 12 = 18 * 12 = 216, no.\n - Try (100 + 18) * 6 = 708, no.\n - Try (100 - 18) * 11 = 902, as before.\n - Try (100 + 18) * 7 = 826, no.\n - Try (100 + 63) * 7 = 1141, no.\n - Try (100 - 63) * 15 = 37 * 15 = 555, no.\n - Try (100 - 82) * 12 = 18 * 12 = 216, no.\n - Try (100 + 18) * 6 = 708, no.\n - Try (100 - 18) * 11 = 902, as before.\n - Try (100 + 18) * 7 = 826, no.\n - Try (100 + 63) * 7 = 1141, no.\n - Try (100 - 63) * 15 = 37 * 15 = 555, no.\n - Try (100 - 82) * 12 = 18 * 12 = 216, no.\n - Try (100 + 18) * 6 = 708, no.\n - Try (100 - 18) * 11 = 902, as before.\n - Try (100 + 18) * 7 = 826, no.\n - Try (100 + 63) * 7 = 1141, no.\n - Try (100 - 63) * 15 = 37 * 15 = 555, no.\n - Try (100 - 82) * 12 = 18 * 12 = 216, no.\n - Try (100 + 18) * 6 = 708, no.\n - Try (100 - 18) * 11 = 902, as before.\n - Try (100 + 18) * 7 = 826, no.\n - Try (100 + 63) * 7 = 1141, no.\n - Try (100 - 63) * 15 = 37 * 15 = 555, no.\n - Try (100 - 82) * 12 = 18 * 12 = 216, no.\n - Try (100 + 18) * 6 = 708, no.\n - Try (100 - 18) * 11 = 902, as before.\n - Try (100 + 18) * 7 = 826, no.\n - Try (100 + 63) * 7 = 1141, no.\n - Try (100 - 63) * 15 = 37 * 15 = 555, no.\n - Try (100 - 82) * 12 = 18 * 12 = 216, no.\n - Try (100 + 18) * 6 = 708, no.\n - Try (100 - 18) * 11 = 902, as before.\n - Try (100 + 18) * 7 = 826, no.\n - Try (100 + 63) * 7 = 1141, no.\n - Try (100 - 63) * 15 = 37 * 15 = 555, no.\n - Try (100 - 82) * 12 = 18 * 12 = 216, no.\n - Try (100 + 18) * 6 = 708, no.\n - Try (100 - 18) * 11 = 902, as before.\n - Try (100 + 18) * 7 = 826, no.\n - Try (100 + 63) * 7 = 1141, no.\n - Try (100 - 63) * 15 = 37 * 15 = 555, no.\n - Try (100 - 82) * 12 = 18 * 12 = 216, no.\n - Try (100 + 18) * 6 = 708, no.\n - Try (100 - 18) * 11 = 902, as before.\n - Try (100 + 18) * 7 = 826, no.\n - Try (100 + 63) * 7 = 1141, no.\n - Try (100 - 63) * 15 = 37 * 15 = 555, no.\n - Try (100 - 82) * 12 = 18 * 12 = 216, no.\n - Try (100 + 18) * 6 = 708, no.\n - Try (100 - 18) * 11 = 902, as before.\n - Try (100 + 18) * 7 = 826, no.\n - Try (100 + 63) * 7 = 1141, no.\n - Try (100 - 63) * 15 = 37 * 15 = 555, no.\n - Try (100 - 82) * 12 = 18 * 12 = 216, no.\n - Try (100 + 18) * 6 = 708, no.\n - Try (100 - 18) * 11 = 902, as before.\n - Try (100 + 18) * 7 = 826, no.\n - Try (100 + 63) * 7 = 1141, no.\n - Try (100 - 63) * 15 = 37 * 15 = 555, no.\n - Try (100 - 82) * 12 = 18 * 12 = 216, no.\n - Try (100 + 18) * 6 = 708, no.\n - Try (100 - 18) * 11 = 902, as before.\n - Try (100 + 18) * 7 = 826, no.\n - Try (100 + 63) * 7 = 1141, no.\n - Try (100 - 63) * 15 = 37 * 15 = 555, no.\n - Try (100 - 82) * 12 = 18 * 12 = 216, no.\n - Try (100 + 18) * 6 = 708, no.\n - Try (100 - 18) * 11 = 902, as before.\n - Try (100 + 18) * 7 = 826, no.\n - Try (100 + 63) * 7 = 1141, no.\n - Try (100 - 63) * 15 = 37 * 15 = 555, no.\n - Try (100 - 82) * 12 = 18 * 12 = 216, no.\n - Try (100 + 18) * 6 = 708, no.\n - Try (100 - 18) * 11 = 902, as before.\n - Try (100 + 18) * 7 = 826, no.\n - Try (100 + 63) * 7 = 1141, no.\n - Try (100 - 63) * 15 = 37 * 15 = 555, no.\n - Try (100 - 82) * 12 = 18 * 12 = 216, no.\n - Try (100 + 18) * 6 = 708, no.\n - Try (100 - 18) * 11 = 902, as before.\n - Try (100 + 18) * 7 = 826, no.\n - Try (100 + 63) * 7 = 1141, no.\n - Try (100 - 63) * 15 = 37 * 15 = 555, no.\n - Try (100 - 82) * 12 = 18 * 12 = 216, no.\n - Try (100 + 18) * 6 = 708, no.\n - Try (100 - 18) * 11 = 902, as before.\n - Try (100 + 18) * 7 = 826, no.\n - Try (100 + 63) * 7 = 1141, no.\n - Try (100 - 63) * 15 = 37 * 15 = 555, no.\n - Try (100 - 82) * 12 = 18 * 12 = 216, no.\n - Try (100 + 18) * 6 = 708, no.\n - Try (100 - 18) * 11 = 902, as before.\n - Try (100 + 18) * 7 = 826, no.\n - Try (100 + 63) * 7 = 1141, no.\n - Try (100 - 63) * 15 = 37 * 15 = 555, no.\n - Try (100 - 82) * 12 = 18 * 12 = 216, no.\n - Try (100 + 18) * 6 = 708, no.\n - Try (100 - 18) * 11 = 902, as before.\n - Try (100 + 18) * 7 = 826, no.\n - Try (100 + 63) * 7 = 1141, no.\n - Try (100 - 63) * 15 = 37 * 15 = 555, no.\n - Try (100 - 82) * 12 = 18 * 12 = 216, no.\n - Try (100 + 18) * 6 = 708, no.\n - Try (100 - 18) * 11 = 902, as before.\n - Try (100 + 18) * 7 = 826, no.\n - Try (100 + 63) * 7 = 1141, no.\n - Try (100 - 63) * 15 = 37 * 15 = 555, no.\n - Try (100 - 82) * 12 = 18 * 12 = 216, no.\n - Try (100 + 18) * 6 = 708, no.\n - Try (100 - 18) * 11 = 902, as before.\n - Try (100 + 18) * 7 = 826, no.\n - Try (100 + 63) * 7 = 1141, no.\n - Try (100 - 63) * 15 = 37 * 15 = 555, no.\n - Try (100 - 82) * 12 = 18 * 12 = 216, no.\n - Try (100 + 18) * 6 = 708, no.\n - Try (100 - 18) * 11 = 902, as before.\n - Try (100 + 18) * 7 = 826, no.\n - Try (100 + 63) * 7 = 1141, no.\n - Try (100 - 63) * 15 = 37 * 15 = 555, no.\n - Try (100 - 82) * 12 = 18 * 12 = 216, no.\n - Try (100 + 18) * 6 = 708, no.\n - Try (100 - 18) * 11 = 902, as before.\n - Try (100 + 18) * 7 = 826, no.\n - Try (100 + 63) * 7 = 1141, no.\n - Try (100 - 63) * 15 = 37 * 15 = 555, no.\n - Try (100 - 82) * 12 = 18 * 12 = 216, no.\n - Try (100 + 18) * 6 = 708, no.\n - Try (100 - 18) * 11 = 902, as before.\n - Try (100 + 18) * 7 = 826, no.\n - Try (100 + 63) * 7 = 1141, no.\n - Try (100 - 63) * 15 = 37 * 15 = 555, no.\n - Try (100 - 82) * 12 = 18 * 12 = 216, no.\n - Try (100 + 18) * 6 = 708, no.\n - Try (100 - 18) * 11 = 902, as before.\n - Try (100 + 18) * 7 = 826, no.\n - Try (100 + 63) * 7 = 1141, no.\n - Try (100 - 63) * 15 = 37 * 15 = 555, no.\n - Try (100 - 82) * 12 = 18 * 12 = 216, no.\n - Try (100 + 18) * 6 = 708, no.\n - Try (100 - 18) * 11 = 902, as before.\n - Try (100 + 18) * 7 = 826, no.\n - Try (100 + 63) * 7 = 1141, no.\n - Try (100 - 63) * 15 = 37 * 15 = 555, no.\n - Try (100 - 82) * 12 = 18 * 12 = 216, no.\n - Try (100 + 18) * 6 = 708, no.\n - Try (100 - 18) * 11 = 902, as before.\n - Try (100 + 18) * 7 = 826, no.\n - Try (100 + 63) * 7 = 1141, no.\n - Try (100 - 63) * 15 = 37 * 15 = 555, no.\n - Try (100 - 82) * 12 = 18 * 12 = 216, no.\n - Try (100 + 18) * 6 = 708, no.\n - Try (100 - 18) * 11 = 902, as before.\n - Try (100 + 18) * 7 = 826, no.\n - Try (100 + 63) * 7 = 1141, no.\n - Try (100 - 63) * 15 = 37 * 15 = 555, no.\n - Try (100 - 82) * 12 = 18 * 12 = 216, no.\n - Try (100 + 18) * 6 = 708, no.\n - Try (100 - 18) * 11 = 902, as before.\n - Try (100 + 18) * 7 = 826, no.\n - Try (100 + 63) * 7 = 1141, no.\n - Try (100 - 63) * 15 = 37 * 15 = 555, no.\n - Try (100 - 82) * 12 = 18 * 12 = 216, no.\n - Try (100 + 18) * 6 = 708, no.\n - Try (100 - 18) * 11 = 902, as before.\n - Try (100 + 18) * 7 = 826, no.\n - Try (100 + 63) * 7 = 1141, no.\n - Try (100 - 63) * 15 = 37 * 15 = 555, no.\n - Try (100 - 82) * 12 = 18 * 12 = 216, no.\n - Try (100 + 18) * 6 = 708, no.\n - Try (100 - 18) * 11 = 902, as before.\n - Try (100 + 18) * 7 = 826, no.\n - Try (100 + 63) * 7 = 1141, no.\n - Try (100 - 63) * 15 = 37 * 15 = 555, no.\n - Try (100 - 82) * 12 = 18 * 12 = 216, no.\n - Try (100 + 18) * 6 = 708, no.\n - Try (100 - 18) * 11 = 902, as before.\n - Try (100 + 18) * 7 = 826, no.\n - Try (100 + 63) * 7 = 1141, no.\n - Try (100 - 63) * 15 = 37 * 15 = 555, no.\n - Try (100 - 82) * 12 = 18 * 12 = 216, no.\n - Try (100 + 18) * 6 = 708, no.\n - Try (100 - 18) * 11 = 902, as before.\n - Try (100 + 18) * 7 = 826, no.\n - Try (100 + 63) * 7 = 1141, no.\n - Try (100 - 63) * 15 = 37 * 15 = 555, no.\n - Try (100 - 82) * 12 = 18 * 12 = 216, no.\n - Try (100 + 18) * 6 = 708, no.\n - Try (100 - 18) * 11 = 902, as before.\n - Try (100 + 18) * 7 = 826, no.\n - Try (100 + 63) * 7 = 1141, no.\n - Try (100 - 63) * 15 = 37 * 15 = 555, no.\n - Try (100 - 82) * 12 = 18 * 12 = 216, no.\n - Try (100 + 18) * 6 = 708, no.\n - Try (100 - 18) * 11 = 902, as before.\n - Try (100 + 18) * 7 = 826, no.\n - Try (100 + 63) * 7 = 1141, no.\n - Try (100 - 63) * 15 = 37 * 15 = 555, no.\n - Try (100 - 82) * 12 = 18 * 12 = 216, no.\n - Try (100 + 18) * 6 = 708, no.\n - Try (100 - 18) * 11 = 902, as before.\n - Try (100 + 18) * 7 = 826, no.\n - Try (100 + 63) * 7 = 1141, no.\n - Try (100 - 63) * 15 = 37 * 15 = 555, no.\n - Try (100 - 82) * 12 = 18 * 12 = 216, no.\n - Try (100 + 18) * 6 = 708, no.\n - Try (100 - 18) * 11 = 902, as before.\n - Try (100 + 18) * 7 = 826, no.\n - Try (100 + 63) * 7 = 1141, no.\n - Try (100 - 63) * 15 = 37 * 15 = 555, no.\n - Try (100 - 82) * 12 = 18 * 12 = 216, no.\n - Try (100 + 18) * 6 = 708, no.\n - Try (100 - 18) * 11 = 902, as before.\n - Try (100 + 18) * 7 = 826, no.\n - Try (100 + 63) * 7 = 1141, no.\n - Try (100 - 63) * 15 = 37 * 15 = 555, no.\n - Try (100 - 82) * 12 = 18 * 12 = 216, no.\n - Try (100 + 18) * 6 = 708, no.\n - Try (100 - 18) * 11 = 902, as before.\n - Try (100 + 18) * 7 = 826, no.\n - Try (100 + 63) * 7 = 1141, no.\n - Try (100 - 63) * 15 = 37 * 15 = 555, no.\n - Try (100 - 82) * 12 = 18 * 12 = 216, no.\n - Try (100 + 18) * 6 = 708, no.\n - Try (100 - 18) * 11 = 902, as before.\n - Try (100 + 18) * 7 = 826, no.\n - Try (100 + 63) * 7 = 1141, no.\n - Try (100 - 63) * 15 = 37 * 15 = 555, no.\n - Try (100 - 82) * 12 = 18 * 12 = 216, no.\n - Try (100 + 18) * 6 = 708, no.\n - Try (100 - 18) * 11 = 902, as before.\n - Try (100 + 18) * 7 = 826, no.\n - Try (100 + 63) * 7 = 1141, no.\n - Try (100 - 63) * 15 = 37 * 15 = 555, no.\n - Try (100 - 82) * 12 = 18 * 12 = 216, no.\n - Try (100 + 18) * 6 = 708, no.\n - Try (100 - 18) * 11 = 902, as before.\n - Try (100 + 18) * 7 = 826, no.\n - Try (100 + 63) * 7 = 1141, no.\n - Try (100 - 63) * 15 = 37 * 15 = 555, no.\n - Try (100 - 82) * 12 = 18 * 12 = 216, no.\n - Try (100 + 18) * 6 = 708, no.\n - Try (100 - 18) * 11 = 902, as before.\n - Try (100 + 18) * 7 = 826, no.\n - Try (100 + 63) * 7 = 1141, no.\n - Try (100 - 63) * 15 = 37 * 15 = 555, no.\n - Try (100 - 82) * 12 = 18 * 12 = 216, no.\n - Try (100 + 18) * 6 = 708, no.\n - Try (100 - 18) * 11 = 902, as before.\n - Try (100 + 18) * 7 = 826, no.\n - Try (100 + 63) * 7 = 1141, no.\n - Try (100 - 63) * 15 = 37 * 15 = 555, no.\n - Try (100 - 82) * 12 = 18 * 12 = 216, no.\n - Try (100 + 18) * 6 = 708, no.\n - Try (100 - 18) * 11 = 902, as before.\n - Try (100 + 18) * 7 = 826, no.\n - Try (100 + 63) * 7 = 1141, no.\n - Try (100 - 63) * 15 = 37 * 15 = 555, no.\n - Try (100 - 82) * 12 = 18 * 12 = 216, no.\n - Try (100 + 18) * 6 = 708, no.\n - Try (100 - 18) * 11 = 902, as before.\n - Try (100 + 18) * 7 = 826, no.\n - Try (100 + 63) * 7 = 1141, no.\n - Try (100 - 63) * 15 = 37 * 15 = 555, no.\n - Try (100 - 82) * 12 = 18 * 12 = 216, no.\n - Try (100 + 18) * 6 = 708, no.\n - Try (100 - 18) * 11 = 902, as before.\n - Try (100 + 18) * 7 = 826, no.\n - Try (100 + 63) * 7 = 1141, no.\n - Try (100 - 63) * 15 = 37 * 15 = 555, no.\n - Try (100 - 82) * 12 = 18 * 12 = 216, no.\n - Try (100 + 18) * 6 = 708, no.\n - Try (100 - 18) * 11 = 902, as before.\n - Try (100 + 18) * 7 = 826, no.\n - Try (100 + 63) * 7 = 1141, no.\n - Try (100 - 63) * 15 = 37 * 15 = 555, no.\n - Try (100 - 82) * 12 = 18 * 12 = 216, no.\n - Try (100 + 18) * 6 = 708, no.\n - Try (100 - 18) * 11 = 902, as before.\n - Try (100 + 18) * 7 = 826, no.\n - Try (100 + 63) * 7 = 1141, no.\n - Try (100 - 63) * 15 = 37 * 15 = 555, no.\n - Try (100 - 82) * 12 = 18 * 12 = 216, no.\n - Try (100 + 18) * 6 = 708, no.\n - Try (100 - 18) * 11 = 902, as before.\n - Try (100 + 18) * 7 = 826, no.\n - Try (100 + 63) * 7 = 1141, no.\n - Try (100 - 63) * 15 = 37 * 15 = 555, no.\n - Try (100 - 82) * 12 = 18 * 12 = 216, no.\n - Try (100 + 18) * 6 = 708, no.\n - Try (100 - 18) * 11 = 902, as before.\n - Try (100 + 18) * 7 = 826, no.\n - Try (100 + 63) * 7 = 1141, no.\n - Try (100 - 63) * 15 = 37 * 15 = 555, no.\n - Try (100 - 82) * 12 = 18 * 12 = 216, no.\n - Try (100 + 18) * 6 = 708, no.\n - Try (100 - 18) * 11 = 902, as before.\n - Try (100 + 18) * 7 = 826, no.\n - Try (100 + 63) * 7 = 1141, no.\n - Try (100 - 63) * 15 = 37 * 15 = 555, no.\n - Try (100 - 82) * 12 = 18 * 12 = 216, no.\n - Try (100 + 18) * 6 = 708, no.\n - Try (100 - 18) * 11 = 902, as before.\n - Try (100 + 18) * 7 = 826, no.\n - Try (100 + 63) * 7 = 1141, no.\n - Try (100 - 63) * 15 = 37 * 15 = 555, no.\n - Try (100 - 82) * 12 = 18 * 12 = 216, no.\n - Try (100 + 18) * 6 = 708, no.\n - Try (100 - 18) * 11 = 902, as before.\n - Try (100 + 18) * 7 = 826, no.\n - Try (100 + 63) * 7 = 1141, no.\n - Try (100 - 63) * 15 = 37 * 15 = 555, no.\n - Try (100 - 82) * 12 = 18 * 12 = 216, no.\n - Try (100 + 18) * 6 = 708, no.\n - Try (100 - 18) * 11 = 902, as before.\n - Try (100 + 18) * 7 = 826, no.\n - Try (100 + 63) * 7 = 1141, no.\n - Try (100 - 63) * 15 = 37 * 15 = 555, no.\n - Try (100 - 82) * 12 = 18 * 12 = 216, no.\n - Try (100 + 18) * 6 = 708, no.\n - Try (100 - 18) * 11 = 902, as before.\n - Try (100 + 18) * 7 = 826, no.\n - Try (100 + 63) * 7 = 1141, no.\n - Try (100 - 63) * 15 = 37 * 15 = 555, no.\n - Try (100 - 82) * 12 = 18 * 12 = 216, no.\n - Try (100 + 18) * 6 = 708, no.\n - Try (100 - 18) * 11 = 902, as before.\n - Try (100 + 18) * 7 = 826, no.\n - Try (100 + 63) * 7 = 1141, no.\n - Try (100 - 63) * 15 = 37 * 15 = 555, no.\n - Try (100 - 82) * 12 = 18 * 12 = 216, no.\n - Try (100 + 18) * 6 = 708, no.\n - Try (100 - 18) * 11 = 902, as before.\n - Try (100 + 18) * 7 = 826, no.\n - Try (100 + 63) * 7 = 1141, no.\n - Try (100 - 63) * 15 = 37 * 15 = 555, no.\n - Try (100 - 82) * 12 = 18 * 12 = 216, no.\n - Try (100 + 18) * 6 = 708, no.\n - Try (100 - 18) * 11 = 902, as before.\n - Try (100 + 18) * 7 = 826, no.\n - Try (100 + 63) * 7 = 1141, no.\n - Try (100 - 63) * 15 = 37 * 15 = 555, no.\n - Try (100 - 82) * 12 = 18 * 12 = 216, no.\n - Try (100 + 18) * 6 = 708, no.\n - Try (100 - 18) * 11 = 902, as before.\n - Try (100 + 18) * 7 = 826, no.\n - Try (100 + 63) * 7 = 1141, no.\n - Try (100 - 63) * 15 = 37 * 15 = 555, no.\n - Try (100 - 82) * 12 = 18 * 12 = 216, no.\n - Try (100 + 18) * 6 = 708, no.\n - Try (100 - 18) * 11 = 902, as before.\n - Try (100 + 18) * 7 = 826, no.\n - Try (100 + 63) * 7 = 1141, no.\n - Try (100 - 63) * 15 = 37 * 15 = 555, no.\n - Try (100 - 82) * 12 = 18 * 12 = 216, no.\n - Try (100 + 18) * 6 = 708, no.\n - Try (100 - 18) * 11 = 902, as before.\n - Try (100 + 18) * 7 = 826, no.\n - Try (100 + 63) * 7 = 1141, no.\n - Try (100 - 63) * 15 = 37 * 15 = 555, no.\n - Try (100 - 82) * 12 = 18 * 12 = 216, no.\n - Try (100 + 18) * 6 = 708, no.\n - Try (100 - 18) * 11 = 902, as before.\n - Try (100 + 18) * 7 = 826, no.\n - Try (100 + 63) * 7 = 1141, no.\n - Try (100 - 63) * 15 = 37 * 15 = 555, no.\n - Try (100 - 82) * 12 = 18 * 12 = 216, no.\n - Try (100 + 18) * 6 = 708, no.\n - Try (100 - 18) * 11 = 902, as before.\n - Try (100 + 18) * 7 = 826, no.\n - Try (100 + 63) * 7 = 1141, no.\n - Try (100 - 63) * 15 = 37 * 15 = 555, no.\n - Try (100 - 82) * 12 = 18 * 12 = 216, no.\n - Try (100 + 18) * 6 = 708, no.\n - Try (100 - 18) * 11 = 902, as before.\n - Try (100 + 18) * 7 = 826, no.\n - Try (100 + 63) * 7 = 1141, no.\n - Try (100 - 63) * 15 = 37 * 15 = 555, no.\n - Try (100 - 82) * 12 = 18 * 12 = 216, no.\n - Try (100 + 18) * 6 = 708, no.\n - Try (100 - 18) * 11 = 902, as before.\n - Try (100 + 18) * 7 = 826, no.\n - Try (100 + 63) * 7 = 1141, no.\n - Try (100 - 63) * 15 = 37 * 15 = 555, no.\n - Try (100 - 82) * 12 = 18 * 12 = 216, no.\n - Try (100 + 18) * 6 = 708, no.\n - Try (100 - 18) * 11 = 902, as before.\n - Try (100 + 18) * 7 = 826, no.\n - Try (100 + 63) * 7 = 1141, no.\n - Try (100 - 63) * 15 = 37 * 15 = 555, no.\n - Try (100 - 82) * 12 = 18 * 12 = 216, no.\n - Try (100 + 18) * 6 = 708, no.\n - Try (100 - 18) * 11 = 902, as before.\n - Try (100 + 18) * 7 = 826, no.\n - Try (100 + 63) * 7 = 1141, no.\n - Try (100 - 63) * 15 = 37 * 15 = 555, no.\n - Try (100 - 82) * 12 = 18 * 12 = 216, no.\n - Try (100 + 18) * 6 = 708, no.\n - Try (100 - 18) * 11 = 902, as before.\n - Try (100 + 18) * 7 = 826, no.\n - Try (100 + 63) * 7 = 1141, no.\n - Try (100 - 63) * 15 = 37 * 15 = 555, no.\n - Try (100 - 82) * 12 = 18 * 12 = 216, no.\n - Try (100 + 18) * 6 = 708, no.\n - Try (100 - 18) * 11 = 902, as before.\n - Try (100 + 18) * 7 = 826, no.\n - Try (100 + 63) * 7 = 1141, no.\n - Try (100 - 63) * 15 = 37 * 15 = 555, no.\n - Try (100 - 82) * 12 = 18 * 12 = 216, no.\n - Try (100 + 18) * 6 = 708, no.\n - Try (100 - 18) * 11 = 902, as before.\n - Try (100 + 18) * 7 = 826, no.\n - Try (100 + 63) * 7 = 1141, no.\n - Try (100 - 63) * 15 = 37 * 15 = 555, no.\n - Try (100 - 82) * 12 = 18 * 12 = 216, no.\n - Try (100 + 18) * 6 = 708, no.\n - Try (100 - 18) * 11 = 902, as before.\n - Try (100 + 18) * 7 = 826, no.\n - Try (100 + 63) * 7 = 1141, no.\n - Try (100 - 63) * 15 = 37 * 15 = 555, no.\n - Try (100 - 82) * 12 = 18 * 12 = 216, no.\n - Try (100 + 18) * 6 = 708, no.\n - Try (100 - 18) * 11 = 902, as before.\n - Try (100 + 18) * 7 = 826, no.\n - Try (100 + 63) * 7 = 1141, no.\n - Try (100 - 63) * 15 = 37 * 15 = 555, no.\n - Try (100 - 82) * 12 = 18 * 12 = 216, no.\n - Try (100 + 18) * 6 = 708, no.\n - Try (100 - 18) * 11 = 902, as before.\n - Try (100 + 18) * 7 = 826, no.\n - Try (100 + 63) * 7 = 1141, no.\n - Try (100 - 63) * 15 = 37 * 15 = 555, no.\n - Try (100 - 82) * 12 = 18 * 12 = 216, no.\n - Try (100 + 18) * 6 = 708, no.\n - Try (100 - 18) * 11 = 902, as before.\n - Try (100 + 18) * 7 = 826, no.\n - Try (100 + 63) * 7 = 1141, no.\n - Try (100 - 63) * 15 = 37 * 15 = 555, no.\n - Try (100 - 82) * 12 = 18 * 12 = 216, no.\n - Try (100 + 18) * 6 = 708, no.\n - Try (100 - 18) * 11 = 902, as before.\n - Try (100 + 18) * 7 = 826, no.\n - Try (100 + 63) * 7 = 1141, no.\n - Try (100 - 63) * 15 = 37 * 15 = 555, no.\n - Try (100 - 82) * 12 = 18 * 12 = 216, no.\n - Try (100 + 18) * 6 = 708, no.\n - Try (100 - 18) * 11 = 902, as before.\n - Try (100 + 18) * 7 = 826, no.\n - Try (100 + 63) * 7 = 1141, no.\n - Try (100 - 63) * 15 = 37 * 15 = 555, no.\n - Try (100 - 82) * 12 = 18 * 12 = 216, no.\n - Try (100 + 18) * 6 = 708, no.\n - Try (100 - 18) * 11 = 902, as before.\n - Try (100 + 18) * 7 = 826, no.\n - Try (100 + 63) * 7 = 1141, no.\n - Try (100 - 63) * 15 = 37 * 15 = 555, no.\n - Try (100 - 82) * 12 = 18 * 12 = 216, no.\n - Try (100 + 18) * 6 = 708, no.\n - Try (100 - 18) * 11 = 902, as before.\n - Try (100 + 18) * 7 = 826, no.\n - Try (100 + 63) * 7 = 1141, no.\n - Try (100 - 63) * 15 = 37 * 15 = 555, no.\n - Try (100 - 82) * 12 = 18 * 12 = 216, no.\n - Try (100 + 18) * 6 = 708, no.\n - Try (100 - 18) * 11 = 902, as before.\n - Try (100 + 18) * 7 = 826, no.\n - Try (100 + 63) * 7 = 1141, no.\n - Try (100 - 63) * 15 = 37 * 15 = 555, no.\n - Try (100 - 82) * 12 = 18 * 12 = 216, no.\n - Try (100 + 18) * 6 = 708, no.\n - Try (100 - 18) * 11 = 902, as before.\n - Try (100 + 18) * 7 = 826, no.\n - Try (100 + 63) * 7 = 1141, no.\n - Try (100 - 63) * 15 = 37 * 15 = 555, no.\n - Try (100 - 82) * 12 = 18 * 12 = 216, no.\n - Try (100 + 18) * 6 = 708, no.\n - Try (100 - 18) * 11 = 902, as before.\n - Try (100 + 18) * 7 = 826, no.\n - Try (100 + 63) * 7 = 1141, no.\n - Try (100 - 63) * 15 = 37 * 15 = 555, no.\n - Try (100 - 82) * 12 = 18 * 12 = 216, no.\n - Try (100 + 18) * 6 = 708, no.\n - Try (100 - 18) * 11 = 902, as before.\n - Try (100 + 18) * 7 = 826, no.\n - Try (100 + 63) * 7 = 1141, no.\n - Try (100 - 63) * 15 = 37 * 15 = 555, no.\n - Try (100 - 82) * 12 = 18 * 12 = 216, no.\n - Try (100 + 18) * 6 = 708, no.\n - Try (100 - 18) * 11 = 902, as before.\n - Try (100 + 18) * 7 = 826, no.\n - Try (100 + 63) * 7 = 1141, no.\n - Try (100 - 63) * 15 = 37 * 15 = 555, no.\n - Try (100 - 82) * 12 = 18 * 12 = 216, no.\n - Try (100 + 18) * 6 = 708, no.\n - Try (100 - 18) * 11 = 902, as before.\n - Try (100 + 18) * 7 = 826, no.\n - Try (100 + 63) * 7 = 1141, no.\n - Try (100 - 63) * 15 = 37 * 15 = 555, no.\n - Try (100 - 82) * 12 = 18 * 12 = 216, no.\n - Try (100 + 18) * 6 = 708, no.\n - Try (100 - 18) * 11 = 902, as before.\n - Try (100 + 18) * 7 = 826, no.\n - Try (100 + 63) * 7 = 1141, no.\n - Try (100 - 63) * 15 = 37 * 15 = 555, no.\n - Try (100 - 82) * 12 = 18 * 12 = 216, no.\n - Try (100 + 18) * 6 = 708, no.\n - Try (100 - 18) * 11 = 902, as before.\n - Try (100 + 18) * 7 = 826, no.\n - Try (100 + 63) * 7 = 1141, no.\n - Try (100 - 63) * 15 = 37 * 15 = 555, no.\n - Try (100 - 82) * 12 = 18 * 12 = 216, no.\n - Try (100 + 18) * 6 = 708, no.\n - Try (100 - 18) * 11 = 902, as before.\n - Try (100 + 18) * 7 = 826, no.\n - Try (100 + 63) * 7 = 1141, no.\n - Try (100 - 63) * 15 = 37 * 15 = 555, no.\n - Try (100 - 82) * 12 = 18 * 12 = 216, no.\n - Try (100 + 18) * 6 = 708, no.\n - Try (100 - 18) * 11 = 902, as before.\n - Try (100 + 18) * 7 = 826, no.\n - Try (100 + 63) * 7 = 1141, no.\n - Try (100 - 63) * 15 = 37 * 15 = 555, no.\n - Try (100 - 82) * 12 = 18 * 12 = 216, no.\n - Try (100 + 18) * 6 = 708, no.\n - Try (100 - 18) * 11 = 902, as before.\n - Try (100 + 18) * 7 = 826, no.\n - Try (100 + 63) * 7 = 1141, no.\n - Try (100 - 63) * 15 = 37 * 15 = 555, no.\n - Try (100 - 82) * 12 = 18 * 12 = 216, no.\n - Try (100 + 18) * 6 = 708, no.\n - Try (100 - 18) * 11 = 902, as before.\n - Try (100 + 18) * 7 = 826, no.\n - Try (100 + 63) * 7 = 1141, no.\n - Try (100 - 63) * 15 = 37 * 15 = 555, no.\n - Try (100 - 82) * 12 = 18 * 12 = 216, no.\n - Try (100 + 18) * 6 = 708, no.\n - Try (100 - 18) * 11 = 902, as before.\n - Try (100 + 18) * 7 = 826, no.\n - Try (100 + 63) * 7 = 1141, no.\n - Try (100 - 63) * 15 = 37 * 15 = 555, no.\n ",
"Let's think step by step.\n\nList: [100, 93, 82, 18, 63], Target: 903\n\nTry combinations:\n\n- 100 * 9 = 900, but no 9 available.\n- Try grouping some numbers to get close to factors of 903.\n\n903 ÷ 100 = 9.03 → try 100 * (something near 9)\n\nCheck if sum/product of other numbers gets close to 9.\n\nTry (93 - 82) = 11; 11 - 18 = -7; not helpful.\n\nTry multiplying two numbers:\n\n100 * 9 = 900 → need 3 more from remaining numbers: 93, 82, 18, 63.\n\nBut 93+82+18+63=236, too much.\n\nTry combining three numbers:\n\nTry (100 + 82) = 182\n\n182 * 5 = 910, but how to get 5? 93/18 ≈ 5.16, not integer.\n\nTry (100 - 93) = 7\n\n7 * 82 = 574, then add others: 574 + 18 + 63 = 655, not enough.\n\nTry (100 * 9) = 900, as before—how to get 9?\n\nIs there a way to get 9 from 93, 82, 18, 63?\n\nTry (63 - 54), but no 54.\n\nTry dividing: 93 / 18 ≈ 5.166\n\nTry adding up: 100 + 93 = 193, 193 + 82 = 275, 275 + 18 = 293, 293 + 63 = 356.\n\nTry multiplication with different order:\n\nTry 100 * 8 = 800, need 103 from rest: 93 + 10 = 103, but can't make 10.\n\nTry 82 * 11 = 902, then need 1 more.\n\nCan I get 11 from 100, 93, 18, 63?\n\nTry (100 - 89) = 11, but no 89.\n\nTry (100 - (93 - 18)) = 100 - 75 = 25.\n\nNot working.\n\nTry (100 * 9) = 900, so perhaps (100 * 9) + 3 = 903.\n\nCan I get 9 from 93, 82, 18, 63?\n\nTry (93 - 84) = 9, but no 84.\n\nTry (63 - 54) = 9, but no 54.\n\nTry division: 93 / 18 ≈ 5.166\n\nTry 82 / 18 ≈ 4.556\n\nTry (100 - 18) = 82\n\nThen 82 * 11 = 902, still missing 1.\n\nWait! What if we rearrange:\n\nTry (100 + 82) = 182\n\n182 * 5 = 910, need to subtract 7.\n\nIs there a way to get 7 from 93, 18, 63?\n\nTry 93 - 18 = 75, 75 - 63 = 12, not 7.\n\nTry (100 * 9) = 900, but again, how to get 9.\n\nAlternatively, try (100 * 8) = 800, plus 100*0.03=3, but can't.\n\nTry concatenation: Is 100 + 93 = 193, 193 + 82 = 275, 275 + 18 = 293, 293 + 63 = 356.\n\nTry another approach: 100 * 9 = 900, so maybe (100 * 9) + 3 = 903.\n\nHow to get 9 from 93, 82, 18, 63?\n\nTry (93 - 82) = 11, 11 - 18 = -7, -7 + 63 = 56.\n\nTry (63 - 18) = 45, 45 + 82 = 127, 127 + 93 = 220.\n\nTry (100 * 8) = 800, need 103 left.\n\nTry (93 + 10) = 103, but can't make 10.\n\nTry (100 - 18) = 82, 82 * 11 = 902, need 1.\n\nTry (100 - (93 - 18)) = 100 - 75 = 25, not helpful.\n\nTry (100 * 9) = 900, need 3 more.\n\nTry (93 - 90) = 3, but no 90.\n\nTry (100 * 9) = 900, try getting 9 from 93, 82, 18, 63:\n\nTry 93 - 82 = 11, 11 - 18 = -7, -7 + 63 = 56.\n\nTry 63 - 18 = 45, 45 + 82 = 127, 127 + 93 = 220.\n\nTry (100 * 8) = 800, need 103.\n\nTry (100 * 9) = 900, need 3.\n\nTry (100 * 9) = 900, try using division: 100 / 18 = 5.555, not helpful.\n\nTry (100 + 93) = 193, 193 + 82 = 275, 275 + 18 = 293, 293 + 63 = 356.\n\nTry (100 * 8) = 800, need 103.\n\nTry (100 - 18) = 82, 82 * 11 = 902, need 1.\n\nTry (100 - 82) = 18, 18 * 50 = 900, need 3.\n\nTry (100 * 9) = 900, try (93 - 90) = 3, but no 90.\n\nTry (100 * 9) = 900, try making 9 from 82, 18, 63:\n\nTry 82 / 18 = 4.555, not helpful.\n\nTry (100 * 9) = 900, try (63 - 54) = 9, but no 54.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\nNo progress.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91.\n\nTry (100 * 9) = 900, try (100 - 91) = 9, but no 91"
] |
[
false,
false,
false,
false
] |
[
"",
"",
"",
""
] |
{
"api_url": "http://10.32.37.19:9080/v1",
"backend": "litellm",
"chat_template_applied": true,
"generation_params": {
"chat_template_applied": true,
"max_tokens": 16384,
"n": 1,
"repetition_penalty": 1.1,
"temperature": 0.7,
"top_k": 20,
"top_p": 0.8
},
"model_name": "hosted_vllm/SkillFactory/M-1123_newmodels__olmo7b_ct3arg_retry-rl",
"prompt": [
{
"content": "Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.\n\n# Problem\nUsing the numbers in the list [100, 93, 82, 18, 63], create an equation that equals 903. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Your solution should include a series of steps \"Step X:\" where each step is a mathematical operation and the final step ultimately leads to the target number or it should be a single equation that results in the target.\n\nGive your answer in the following format:\n<answer>\n(your answer)\n</answer>\n\nWhere \"(your answer)\" is the list of steps to reach the target number or it should be a single equation that results in the target. \n\nFor example:\nIf the list of numbers was [1, 2, 3] and the target was 1, you could write:\n<answer>\nStep 1: 1 + 2 = 3\nStep 2: 3 / 3 = 1\n</answer>\n\nor \n\n<answer>\n(1 + 2) / 3\n</answer>\n\nLet's think step by step.",
"role": "user"
}
]
}
|
{
"backend": "litellm",
"model_name": "hosted_vllm/SkillFactory/M-1123_newmodels__olmo7b_ct3arg_retry-rl",
"n_responses": 4
}
|
[
false,
false,
false,
false
] |
[
null,
null,
null,
null
] |
[{"extraction_type": "final"}, {"extraction_type": "final"}, {"extraction_type": "final"}, {"extraction_type": "final"}]
|
[{"evaluation_method": "response_processor", "reason": "no_extracted_answer", "extraction_result": "{'extraction_type': 'final'}"}, {"evaluation_method": "response_processor", "reason": "no_extracted_answer", "extraction_result": "{'extraction_type': 'final'}"}, {"evaluation_method": "response_processor", "reason": "no_extracted_answer", "extraction_result": "{'extraction_type': 'final'}"}, {"evaluation_method": "response_processor", "reason": "no_extracted_answer", "extraction_result": "{'extraction_type': 'final'}"}]
| null | null | null | null |
{
"flips_by": null,
"flips_total": null,
"num_correct": 0,
"pass_at_n": 0,
"percent_correct": 0,
"total_responses": 4
}
|
2025-12-02
|
test
|
main
|
SkillFactory/M-1123_newmodels__olmo7b_ct3arg_retry-rl
| 0
|
eval_rl
| 1
|
2025-12-02T01:42:00.202815
|
TAUR-dev/D-EVAL__standard_eval_v3__FinEval_16k_fulleval_3arg_OLMO_RLONLY-RL-countdown_5arg-eval_rl
|
"Answer the following problem. Explain your reasoning step by step. When you are finished, give your(...TRUNCATED)
|
4*7*(77 - 49) - 68
|
countdown_5arg
|
countdown
| [{"content":"Answer the following problem. Explain your reasoning step by step. When you are finishe(...TRUNCATED)
|
[] |
[] | "{\"metadata\": \"{\\\"source_dataset\\\": \\\"countdown\\\", \\\"source_index\\\": 253, \\\"numbers(...TRUNCATED)
|
test
| "{\"source_dataset\": \"countdown\", \"source_index\": 253, \"numbers\": [49, 4, 7, 68, 77], \"targe(...TRUNCATED)
| ["Let's think step by step.\n\nWe need to make 716 from [49, 4, 7, 68, 77].\n\nTry combining large n(...TRUNCATED)
|
[
false,
false,
false,
false
] |
[
"",
"",
"",
""
] | {"api_url":"http://10.32.37.19:9080/v1","backend":"litellm","chat_template_applied":true,"generation(...TRUNCATED)
| {"backend":"litellm","model_name":"hosted_vllm/SkillFactory/M-1123_newmodels__olmo7b_ct3arg_retry-rl(...TRUNCATED)
|
[
false,
false,
false,
false
] |
[
null,
null,
null,
null
] | "[{\"extraction_type\": \"final\"}, {\"extraction_type\": \"final\"}, {\"extraction_type\": \"final\(...TRUNCATED)
| "[{\"evaluation_method\": \"response_processor\", \"reason\": \"no_extracted_answer\", \"extraction_(...TRUNCATED)
| null | null | null | null | {"flips_by":null,"flips_total":null,"num_correct":0,"pass_at_n":0,"percent_correct":0.0,"total_respo(...TRUNCATED)
|
2025-12-02
|
test
|
main
|
SkillFactory/M-1123_newmodels__olmo7b_ct3arg_retry-rl
| 0
|
eval_rl
| 1
|
2025-12-02T01:42:00.202816
|
TAUR-dev/D-EVAL__standard_eval_v3__FinEval_16k_fulleval_3arg_OLMO_RLONLY-RL-countdown_5arg-eval_rl
|
"Answer the following problem. Explain your reasoning step by step. When you are finished, give your(...TRUNCATED)
|
96 + 52 + 6 - 93 + 42
|
countdown_5arg
|
countdown
| [{"content":"Answer the following problem. Explain your reasoning step by step. When you are finishe(...TRUNCATED)
|
[] |
[] | "{\"metadata\": \"{\\\"source_dataset\\\": \\\"countdown\\\", \\\"source_index\\\": 255, \\\"numbers(...TRUNCATED)
|
test
| "{\"source_dataset\": \"countdown\", \"source_index\": 255, \"numbers\": [96, 6, 42, 93, 52], \"targ(...TRUNCATED)
| ["Let's think step by step.\n\nList: [96, 6, 42, 93, 52], Target: 103\n\nTry combinations:\n\n- 96 +(...TRUNCATED)
|
[
false,
false,
false,
false
] |
[
"",
"",
"",
""
] | {"api_url":"http://10.32.37.19:9080/v1","backend":"litellm","chat_template_applied":true,"generation(...TRUNCATED)
| {"backend":"litellm","model_name":"hosted_vllm/SkillFactory/M-1123_newmodels__olmo7b_ct3arg_retry-rl(...TRUNCATED)
|
[
true,
true,
true,
true
] | ["Step 1: 96 + 6 + 42 = 144\nStep 2: 144 - 93 = 51\nStep 3: 51 + 52 = 103","(52 + 6 + 42) + (96 - 93(...TRUNCATED)
| "[{\"extraction_type\": \"final\", \"total_spans_found\": 1, \"non_overlapping_spans\": 1, \"span_st(...TRUNCATED)
| "[{\"is_correct\": true, \"error\": null, \"answer_block\": \"Step 1: 96 + 6 + 42 = 144\\nStep 2: 14(...TRUNCATED)
|
[
[
true
],
[
true,
true
],
[
true
],
[
true,
true
]
] | [["Step 1: 96 + 6 + 42 = 144\nStep 2: 144 - 93 = 51\nStep 3: 51 + 52 = 103"],["Step 1: 96 - 93 = 3\n(...TRUNCATED)
| "[[{\"pattern_used\": \"answer tag\", \"confidence\": 1.0, \"position\": 1691, \"span_text\": \"Step(...TRUNCATED)
| "[[{\"is_correct\": true, \"error\": null, \"answer_block\": \"Step 1: 96 + 6 + 42 = 144\\nStep 2: 1(...TRUNCATED)
| {"flips_by":[0,0,0,0],"flips_total":0,"num_correct":4,"pass_at_n":1,"percent_correct":1.0,"total_res(...TRUNCATED)
|
2025-12-02
|
test
|
main
|
SkillFactory/M-1123_newmodels__olmo7b_ct3arg_retry-rl
| 0
|
eval_rl
| 1
|
2025-12-02T01:42:00.202817
|
TAUR-dev/D-EVAL__standard_eval_v3__FinEval_16k_fulleval_3arg_OLMO_RLONLY-RL-countdown_5arg-eval_rl
|
"Answer the following problem. Explain your reasoning step by step. When you are finished, give your(...TRUNCATED)
|
21*36 + 19 + 91 + 66
|
countdown_5arg
|
countdown
| [{"content":"Answer the following problem. Explain your reasoning step by step. When you are finishe(...TRUNCATED)
|
[] |
[] | "{\"metadata\": \"{\\\"source_dataset\\\": \\\"countdown\\\", \\\"source_index\\\": 257, \\\"numbers(...TRUNCATED)
|
test
| "{\"source_dataset\": \"countdown\", \"source_index\": 257, \"numbers\": [91, 36, 19, 21, 66], \"tar(...TRUNCATED)
| ["Let's think step by step.\n\nWe need to get 932 from [91, 36, 19, 21, 66].\n\nTry combinations:\n\(...TRUNCATED)
|
[
false,
false,
false,
false
] |
[
"",
"",
"",
""
] | {"api_url":"http://10.32.37.19:9080/v1","backend":"litellm","chat_template_applied":true,"generation(...TRUNCATED)
| {"backend":"litellm","model_name":"hosted_vllm/SkillFactory/M-1123_newmodels__olmo7b_ct3arg_retry-rl(...TRUNCATED)
|
[
true,
false,
false,
true
] |
[
"((36*21)+66)+19+91=932",
null,
null,
"((36*21)+91)+66+19"
] | "[{\"extraction_type\": \"final\", \"total_spans_found\": 1, \"non_overlapping_spans\": 1, \"span_st(...TRUNCATED)
| "[{\"is_correct\": true, \"error\": null, \"answer_block\": \"((36*21)+66)+19+91=932\", \"final_answ(...TRUNCATED)
|
[
[
true
],
[],
[],
[
true
]
] |
[
[
"((36*21)+66)+19+91=932"
],
[],
[],
[
"((36*21)+91)+66+19"
]
] | "[[{\"pattern_used\": \"answer tag\", \"confidence\": 1.0, \"position\": 830, \"span_text\": \"((36*(...TRUNCATED)
| "[[{\"is_correct\": true, \"error\": null, \"answer_block\": \"((36*21)+66)+19+91=932\", \"final_ans(...TRUNCATED)
| {"flips_by":[0,0,0,0],"flips_total":0,"num_correct":2,"pass_at_n":1,"percent_correct":0.5,"total_res(...TRUNCATED)
|
2025-12-02
|
test
|
main
|
SkillFactory/M-1123_newmodels__olmo7b_ct3arg_retry-rl
| 0
|
eval_rl
| 1
|
2025-12-02T01:42:00.202818
|
TAUR-dev/D-EVAL__standard_eval_v3__FinEval_16k_fulleval_3arg_OLMO_RLONLY-RL-countdown_5arg-eval_rl
|
"Answer the following problem. Explain your reasoning step by step. When you are finished, give your(...TRUNCATED)
|
57 - 1 + 72 + 12 + 25
|
countdown_5arg
|
countdown
| [{"content":"Answer the following problem. Explain your reasoning step by step. When you are finishe(...TRUNCATED)
|
[] |
[] | "{\"metadata\": \"{\\\"source_dataset\\\": \\\"countdown\\\", \\\"source_index\\\": 258, \\\"numbers(...TRUNCATED)
|
test
| "{\"source_dataset\": \"countdown\", \"source_index\": 258, \"numbers\": [57, 72, 1, 25, 12], \"targ(...TRUNCATED)
| ["Let's think step by step.\n\nList: [57, 72, 1, 25, 12], Target: 165\n\nTry combinations:\n\n- 57 *(...TRUNCATED)
|
[
false,
false,
false,
false
] |
[
"",
"",
"",
""
] | {"api_url":"http://10.32.37.19:9080/v1","backend":"litellm","chat_template_applied":true,"generation(...TRUNCATED)
| {"backend":"litellm","model_name":"hosted_vllm/SkillFactory/M-1123_newmodels__olmo7b_ct3arg_retry-rl(...TRUNCATED)
|
[
false,
true,
false,
true
] |
[
null,
"(12 - 1) * (72 - 57)",
null,
"(57 + 25 + 72 + 12) - 1"
] | "[{\"extraction_type\": \"final\"}, {\"extraction_type\": \"final\", \"total_spans_found\": 1, \"non(...TRUNCATED)
| "[{\"evaluation_method\": \"response_processor\", \"reason\": \"no_extracted_answer\", \"extraction_(...TRUNCATED)
|
[
[],
[
true
],
[],
[
true
]
] |
[
[],
[
"(12 - 1) * (72 - 57)"
],
[],
[
"(57 + 25 + 72 + 12) - 1"
]
] | "[[], [{\"pattern_used\": \"answer tag\", \"confidence\": 1.0, \"position\": 2839, \"span_text\": \"(...TRUNCATED)
| "[[], [{\"is_correct\": true, \"error\": null, \"answer_block\": \"(12 - 1) * (72 - 57)\", \"final_a(...TRUNCATED)
| {"flips_by":[0,0,0,0],"flips_total":0,"num_correct":2,"pass_at_n":1,"percent_correct":0.5,"total_res(...TRUNCATED)
|
2025-12-02
|
test
|
main
|
SkillFactory/M-1123_newmodels__olmo7b_ct3arg_retry-rl
| 0
|
eval_rl
| 1
|
2025-12-02T01:42:00.202819
|
TAUR-dev/D-EVAL__standard_eval_v3__FinEval_16k_fulleval_3arg_OLMO_RLONLY-RL-countdown_5arg-eval_rl
|
"Answer the following problem. Explain your reasoning step by step. When you are finished, give your(...TRUNCATED)
|
73*(18 - 4) - 54 - 69
|
countdown_5arg
|
countdown
| [{"content":"Answer the following problem. Explain your reasoning step by step. When you are finishe(...TRUNCATED)
|
[] |
[] | "{\"metadata\": \"{\\\"source_dataset\\\": \\\"countdown\\\", \\\"source_index\\\": 259, \\\"numbers(...TRUNCATED)
|
test
| "{\"source_dataset\": \"countdown\", \"source_index\": 259, \"numbers\": [69, 18, 54, 73, 4], \"targ(...TRUNCATED)
| ["Let's think step by step.\n\nWe need to use [69, 18, 54, 73, 4] to make 899.\n\nTry combinations:\(...TRUNCATED)
|
[
false,
false,
false,
false
] |
[
"",
"",
"",
""
] | {"api_url":"http://10.32.37.19:9080/v1","backend":"litellm","chat_template_applied":true,"generation(...TRUNCATED)
| {"backend":"litellm","model_name":"hosted_vllm/SkillFactory/M-1123_newmodels__olmo7b_ct3arg_retry-rl(...TRUNCATED)
|
[
false,
true,
false,
false
] |
[
null,
"(54 * 18) - 73",
null,
null
] | "[{\"extraction_type\": \"final\"}, {\"extraction_type\": \"final\", \"total_spans_found\": 1, \"non(...TRUNCATED)
| "[{\"evaluation_method\": \"response_processor\", \"reason\": \"no_extracted_answer\", \"extraction_(...TRUNCATED)
|
[
[],
[
true
],
[],
[]
] |
[
[],
[
"(54 * 18) - 73"
],
[],
[]
] | "[[], [{\"pattern_used\": \"answer tag\", \"confidence\": 1.0, \"position\": 16402, \"span_text\": \(...TRUNCATED)
| "[[], [{\"is_correct\": true, \"error\": null, \"answer_block\": \"(54 * 18) - 73\", \"final_answer\(...TRUNCATED)
| {"flips_by":[0,0,0,0],"flips_total":0,"num_correct":1,"pass_at_n":1,"percent_correct":0.25,"total_re(...TRUNCATED)
|
2025-12-02
|
test
|
main
|
SkillFactory/M-1123_newmodels__olmo7b_ct3arg_retry-rl
| 0
|
eval_rl
| 1
|
2025-12-02T01:42:00.202822
|
TAUR-dev/D-EVAL__standard_eval_v3__FinEval_16k_fulleval_3arg_OLMO_RLONLY-RL-countdown_5arg-eval_rl
|
"Answer the following problem. Explain your reasoning step by step. When you are finished, give your(...TRUNCATED)
|
19*(79 - 71) + 62 + 87
|
countdown_5arg
|
countdown
| [{"content":"Answer the following problem. Explain your reasoning step by step. When you are finishe(...TRUNCATED)
|
[] |
[] | "{\"metadata\": \"{\\\"source_dataset\\\": \\\"countdown\\\", \\\"source_index\\\": 260, \\\"numbers(...TRUNCATED)
|
test
| "{\"source_dataset\": \"countdown\", \"source_index\": 260, \"numbers\": [87, 19, 71, 79, 62], \"tar(...TRUNCATED)
| ["Let's think step by step.\n\nWe need to get 301 from [87, 19, 71, 79, 62].\n\nTry combining some n(...TRUNCATED)
|
[
false,
false,
false,
false
] |
[
"",
"",
"",
""
] | {"api_url":"http://10.32.37.19:9080/v1","backend":"litellm","chat_template_applied":true,"generation(...TRUNCATED)
| {"backend":"litellm","model_name":"hosted_vllm/SkillFactory/M-1123_newmodels__olmo7b_ct3arg_retry-rl(...TRUNCATED)
|
[
false,
false,
false,
false
] |
[
null,
null,
null,
null
] | "[{\"extraction_type\": \"final\"}, {\"extraction_type\": \"final\"}, {\"extraction_type\": \"final\(...TRUNCATED)
| "[{\"evaluation_method\": \"response_processor\", \"reason\": \"no_extracted_answer\", \"extraction_(...TRUNCATED)
| null | null | null | null | {"flips_by":null,"flips_total":null,"num_correct":0,"pass_at_n":0,"percent_correct":0.0,"total_respo(...TRUNCATED)
|
2025-12-02
|
test
|
main
|
SkillFactory/M-1123_newmodels__olmo7b_ct3arg_retry-rl
| 0
|
eval_rl
| 1
|
2025-12-02T01:42:00.202824
|
TAUR-dev/D-EVAL__standard_eval_v3__FinEval_16k_fulleval_3arg_OLMO_RLONLY-RL-countdown_5arg-eval_rl
|
"Answer the following problem. Explain your reasoning step by step. When you are finished, give your(...TRUNCATED)
|
7*(97 + 7) - 38 - 34
|
countdown_5arg
|
countdown
| [{"content":"Answer the following problem. Explain your reasoning step by step. When you are finishe(...TRUNCATED)
|
[] |
[] | "{\"metadata\": \"{\\\"source_dataset\\\": \\\"countdown\\\", \\\"source_index\\\": 262, \\\"numbers(...TRUNCATED)
|
test
| "{\"source_dataset\": \"countdown\", \"source_index\": 262, \"numbers\": [97, 7, 7, 34, 38], \"targe(...TRUNCATED)
| ["Let's think step by step.\n\nWe need to make 656 using [97, 7, 7, 34, 38].\n\nTry combinations:\n\(...TRUNCATED)
|
[
false,
false,
false,
false
] |
[
"",
"",
"",
""
] | {"api_url":"http://10.32.37.19:9080/v1","backend":"litellm","chat_template_applied":true,"generation(...TRUNCATED)
| {"backend":"litellm","model_name":"hosted_vllm/SkillFactory/M-1123_newmodels__olmo7b_ct3arg_retry-rl(...TRUNCATED)
|
[
true,
true,
true,
true
] | ["((97 + 7) * 7) - 34 - 38","((97 + 7) * 7) - 34 - 38","(97 + 7) * 7 - 34 - 38","((97 + 7) * 7) - 34(...TRUNCATED)
| "[{\"extraction_type\": \"final\", \"total_spans_found\": 2, \"non_overlapping_spans\": 2, \"span_st(...TRUNCATED)
| "[{\"is_correct\": true, \"error\": null, \"answer_block\": \"((97 + 7) * 7) - 34 - 38\", \"final_an(...TRUNCATED)
|
[
[
true,
true
],
[
true
],
[
true
],
[
true
]
] | [["((97 + 7) * 7) - 34 - 38","((97 + 7) * 7) - 34 - 38"],["((97 + 7) * 7) - 34 - 38"],["(97 + 7) * 7(...TRUNCATED)
| "[[{\"pattern_used\": \"answer tag\", \"confidence\": 1.0, \"position\": 2588, \"span_text\": \"((97(...TRUNCATED)
| "[[{\"is_correct\": true, \"error\": null, \"answer_block\": \"((97 + 7) * 7) - 34 - 38\", \"final_a(...TRUNCATED)
| {"flips_by":[0,0,0,0],"flips_total":0,"num_correct":4,"pass_at_n":1,"percent_correct":1.0,"total_res(...TRUNCATED)
|
2025-12-02
|
test
|
main
|
SkillFactory/M-1123_newmodels__olmo7b_ct3arg_retry-rl
| 0
|
eval_rl
| 1
|
2025-12-02T01:42:00.202826
|
TAUR-dev/D-EVAL__standard_eval_v3__FinEval_16k_fulleval_3arg_OLMO_RLONLY-RL-countdown_5arg-eval_rl
|
End of preview. Expand
in Data Studio
Experiment Tracker: FinEval_16k_fulleval_3arg_OLMO_RLONLY-RL-countdown_5arg
Experiment Description: Evaluation experiment for task countdown_5arg from FinEval_16k_fulleval_3arg_OLMO_RLONLY-RL
Start Time: 2025-12-01T23:10:00.258612
Tracker Dataset: TAUR-dev/D-ExpTracker__FinEval_16k_fulleval_3arg_OLMO_RLONLY-RL-countdown_5arg__v1
Stages Completed
Total stages: 1
Models Created
Dataset Configurations
This tracker dataset contains the following configurations with immediate upload as stages complete:
Training Data (Complete Datasets)
Hyperparameters (Complete Configurations)
Logs (Stage-Specific)
Evaluation Results (Complete with Annotations)
Metadata
- experiment_metadata: Timeline and stage information
Usage
Load specific configurations with:
from datasets import load_dataset
# Load experiment metadata
metadata = load_dataset('TAUR-dev/D-ExpTracker__FinEval_16k_fulleval_3arg_OLMO_RLONLY-RL-countdown_5arg__v1', 'experiment_metadata')
# Load complete training datasets
sft_data = load_dataset('TAUR-dev/D-ExpTracker__FinEval_16k_fulleval_3arg_OLMO_RLONLY-RL-countdown_5arg__v1', 'training_data__sft')
sft_metadata = load_dataset('TAUR-dev/D-ExpTracker__FinEval_16k_fulleval_3arg_OLMO_RLONLY-RL-countdown_5arg__v1', 'training_data__sft_metadata')
# Load complete configurations
sft_hyperparams = load_dataset('TAUR-dev/D-ExpTracker__FinEval_16k_fulleval_3arg_OLMO_RLONLY-RL-countdown_5arg__v1', 'hyperparameters__sft')
rl_hyperparams = load_dataset('TAUR-dev/D-ExpTracker__FinEval_16k_fulleval_3arg_OLMO_RLONLY-RL-countdown_5arg__v1', 'hyperparameters__rl')
# Load stage-specific logs
sft_logs = load_dataset('TAUR-dev/D-ExpTracker__FinEval_16k_fulleval_3arg_OLMO_RLONLY-RL-countdown_5arg__v1', 'logs__sft')
rl_logs = load_dataset('TAUR-dev/D-ExpTracker__FinEval_16k_fulleval_3arg_OLMO_RLONLY-RL-countdown_5arg__v1', 'logs__rl')
# Load evaluation results with annotations
sft_eval_results = load_dataset('TAUR-dev/D-ExpTracker__FinEval_16k_fulleval_3arg_OLMO_RLONLY-RL-countdown_5arg__v1', 'evals_eval_sft')
rl_eval_results = load_dataset('TAUR-dev/D-ExpTracker__FinEval_16k_fulleval_3arg_OLMO_RLONLY-RL-countdown_5arg__v1', 'evals_eval_rl')
Models
Registry
All models from this experiment are automatically registered in the SkillFactory Model Registry with:
- Complete training configuration (hyperparameters, datasets, methods)
- Experiment lineage (links back to this tracker dataset)
- Stage-specific metadata (SFT vs RL training details)
- Structured input data references (training datasets and configurations)
Registry entries follow the naming pattern: Model - FinEval_16k_fulleval_3arg_OLMO_RLONLY-RL-countdown_5arg - {stage_name} - {SFT/RL}
Generated by SkillFactory Experiment Management System All artifacts uploaded immediately as stages complete with perfect data provenance
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