diff --git "a/data/math_operations/primitive_atomic_balanced_sft_50k/balanced_val_alpaca.jsonl" "b/data/math_operations/primitive_atomic_balanced_sft_50k/balanced_val_alpaca.jsonl"
deleted file mode 100644--- "a/data/math_operations/primitive_atomic_balanced_sft_50k/balanced_val_alpaca.jsonl"
+++ /dev/null
@@ -1,200 +0,0 @@
-{"instruction": "Based on the input–output examples below, infer the rule implemented by function C. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 69\n\nInput: 41\nOutput: 15\n\nInput: 45\nOutput: 9\n\nInput: 87397\nOutput: 8\n\nInput: 242\nOutput: 8\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 16\n\nInput: 21395\nOutput: 44\n\nInput: 2\nOutput: 4\n\nInput: 2679\nOutput: 64\n\nQuestion:\nWhat is the output of C(6322)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "The digits of 6322 are [6, 3, 2, 2].\nAlternating sum of squares = 6^2 - 3^2 + 2^2 - 2^2 = 36 - 9 + 4 - 4 = 27\nC(6322) = |27| = 27\n\n\\boxed{27}"}
-{"instruction": "Based on the input–output examples below, infer the rule implemented by function H. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 283\n\nInput: 41\nOutput: 14\n\nInput: 45\nOutput: 45\n\nInput: 87397\nOutput: 39787\n\nInput: 242\nOutput: 224\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 3599\n\nInput: 21395\nOutput: 13952\n\nInput: 2\nOutput: 2\n\nInput: 2679\nOutput: 2679\n\nQuestion:\nWhat is the output of H(86765)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "The digit string of 86765 is \"86765\".\nRotations: 86765, 67658, 76586, 65867, 58676\nH(86765) = min(86765, 67658, 76586, 65867, 58676) = 58676\n\n\\boxed{58676}"}
-{"instruction": "Based on the input–output examples below, infer the rule implemented by function E. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 52\n\nInput: 41\nOutput: 8\n\nInput: 45\nOutput: 40\n\nInput: 87397\nOutput: 247\n\nInput: 242\nOutput: 24\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 144\n\nInput: 21395\nOutput: 47\n\nInput: 2\nOutput: 4\n\nInput: 2679\nOutput: 120\n\nQuestion:\nWhat is the output of E(48049)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "The digits of 48049 are [4, 8, 0, 4, 9].\nReversed: [9, 4, 0, 8, 4]\n4*9 + 8*4 + 0*0 + 4*8 + 9*4 = 36 + 32 + 0 + 32 + 36 = 136\nE(48049) = 136\n\n\\boxed{136}"}
-{"instruction": "Based on the input–output examples below, infer the rule implemented by function H. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 283\n\nInput: 41\nOutput: 14\n\nInput: 45\nOutput: 45\n\nInput: 87397\nOutput: 39787\n\nInput: 242\nOutput: 224\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 3599\n\nInput: 21395\nOutput: 13952\n\nInput: 2\nOutput: 2\n\nInput: 2679\nOutput: 2679\n\nQuestion:\nWhat is the output of H(15176)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "The digit string of 15176 is \"15176\".\nRotations: 15176, 51761, 17615, 76151, 61517\nH(15176) = min(15176, 51761, 17615, 76151, 61517) = 15176\n\n\\boxed{15176}"}
-{"instruction": "Based on the input–output examples below, infer the rule implemented by function E. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 52\n\nInput: 41\nOutput: 8\n\nInput: 45\nOutput: 40\n\nInput: 87397\nOutput: 247\n\nInput: 242\nOutput: 24\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 144\n\nInput: 21395\nOutput: 47\n\nInput: 2\nOutput: 4\n\nInput: 2679\nOutput: 120\n\nQuestion:\nWhat is the output of E(6286)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "The digits of 6286 are [6, 2, 8, 6].\nReversed: [6, 8, 2, 6]\n6*6 + 2*8 + 8*2 + 6*6 = 36 + 16 + 16 + 36 = 104\nE(6286) = 104\n\n\\boxed{104}"}
-{"instruction": "Based on the input–output examples below, infer the rule implemented by function E. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 52\n\nInput: 41\nOutput: 8\n\nInput: 45\nOutput: 40\n\nInput: 87397\nOutput: 247\n\nInput: 242\nOutput: 24\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 144\n\nInput: 21395\nOutput: 47\n\nInput: 2\nOutput: 4\n\nInput: 2679\nOutput: 120\n\nQuestion:\nWhat is the output of E(71733)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "The digits of 71733 are [7, 1, 7, 3, 3].\nReversed: [3, 3, 7, 1, 7]\n7*3 + 1*3 + 7*7 + 3*1 + 3*7 = 21 + 3 + 49 + 3 + 21 = 97\nE(71733) = 97\n\n\\boxed{97}"}
-{"instruction": "Based on the input–output examples below, infer the rule implemented by function A. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 104\n\nInput: 41\nOutput: 20\n\nInput: 45\nOutput: 45\n\nInput: 87397\nOutput: 306\n\nInput: 242\nOutput: 32\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 234\n\nInput: 21395\nOutput: 180\n\nInput: 2\nOutput: 4\n\nInput: 2679\nOutput: 216\n\nQuestion:\nWhat is the output of A(14170)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "The digits of 14170 are [1, 4, 1, 7, 0].\nSum of digits = 1 + 4 + 1 + 7 + 0 = 13\nMax digit = 7\nA(14170) = 13 * 7 = 91\n\n\\boxed{91}"}
-{"instruction": "Based on the input–output examples below, infer the rule implemented by function A. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 104\n\nInput: 41\nOutput: 20\n\nInput: 45\nOutput: 45\n\nInput: 87397\nOutput: 306\n\nInput: 242\nOutput: 32\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 234\n\nInput: 21395\nOutput: 180\n\nInput: 2\nOutput: 4\n\nInput: 2679\nOutput: 216\n\nQuestion:\nWhat is the output of A(93206)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "The digits of 93206 are [9, 3, 2, 0, 6].\nSum of digits = 9 + 3 + 2 + 0 + 6 = 20\nMax digit = 9\nA(93206) = 20 * 9 = 180\n\n\\boxed{180}"}
-{"instruction": "Based on the input–output examples below, infer the rule implemented by function C. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 69\n\nInput: 41\nOutput: 15\n\nInput: 45\nOutput: 9\n\nInput: 87397\nOutput: 8\n\nInput: 242\nOutput: 8\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 16\n\nInput: 21395\nOutput: 44\n\nInput: 2\nOutput: 4\n\nInput: 2679\nOutput: 64\n\nQuestion:\nWhat is the output of C(85664)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "The digits of 85664 are [8, 5, 6, 6, 4].\nAlternating sum of squares = 8^2 - 5^2 + 6^2 - 6^2 + 4^2 = 64 - 25 + 36 - 36 + 16 = 55\nC(85664) = |55| = 55\n\n\\boxed{55}"}
-{"instruction": "Based on the input–output examples below, infer the rule implemented by function B. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 37\n\nInput: 41\nOutput: 9\n\nInput: 45\nOutput: 1\n\nInput: 87397\nOutput: 93\n\nInput: 242\nOutput: 4\n\nInput: 1\nOutput: 0\n\nInput: 9935\nOutput: 76\n\nInput: 21395\nOutput: 85\n\nInput: 2\nOutput: 0\n\nInput: 2679\nOutput: 90\n\nQuestion:\nWhat is the output of B(58237)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "The digits of 58237 are [5, 8, 2, 3, 7].\nMin digit = 2\n(5 - 2)^2 = 9\n(8 - 2)^2 = 36\n(2 - 2)^2 = 0\n(3 - 2)^2 = 1\n(7 - 2)^2 = 25\nB(58237) = 9 + 36 + 0 + 1 + 25 = 71\n\n\\boxed{71}"}
-{"instruction": "Based on the input–output examples below, infer the rule implemented by function F. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 14\n\nInput: 41\nOutput: 8\n\nInput: 45\nOutput: 9\n\nInput: 87397\nOutput: 42\n\nInput: 242\nOutput: 10\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 36\n\nInput: 21395\nOutput: 25\n\nInput: 2\nOutput: 2\n\nInput: 2679\nOutput: 24\n\nQuestion:\nWhat is the output of F(6286)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "The digits of 6286 are [6, 2, 8, 6].\nRunning max: 6, 6, 8, 8\nF(6286) = 6 + 6 + 8 + 8 = 28\n\n\\boxed{28}"}
-{"instruction": "Based on the input–output examples below, infer the rule implemented by function G. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 45\n\nInput: 41\nOutput: 11\n\nInput: 45\nOutput: 25\n\nInput: 87397\nOutput: 143\n\nInput: 242\nOutput: 16\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 111\n\nInput: 21395\nOutput: 70\n\nInput: 2\nOutput: 3\n\nInput: 2679\nOutput: 97\n\nQuestion:\nWhat is the output of G(49840)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "The digits of 49840 are [4, 9, 8, 4, 0].\nT(4) = 4*5/2 = 10\nT(9) = 9*10/2 = 45\nT(8) = 8*9/2 = 36\nT(4) = 4*5/2 = 10\nT(0) = 0*1/2 = 0\nG(49840) = 10 + 45 + 36 + 10 + 0 = 101\n\n\\boxed{101}"}
-{"instruction": "Based on the input–output examples below, infer the rule implemented by function F. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 14\n\nInput: 41\nOutput: 8\n\nInput: 45\nOutput: 9\n\nInput: 87397\nOutput: 42\n\nInput: 242\nOutput: 10\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 36\n\nInput: 21395\nOutput: 25\n\nInput: 2\nOutput: 2\n\nInput: 2679\nOutput: 24\n\nQuestion:\nWhat is the output of F(4897)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "The digits of 4897 are [4, 8, 9, 7].\nRunning max: 4, 8, 9, 9\nF(4897) = 4 + 8 + 9 + 9 = 30\n\n\\boxed{30}"}
-{"instruction": "Based on the input–output examples below, infer the rule implemented by function D. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 21\n\nInput: 41\nOutput: 5\n\nInput: 45\nOutput: 29\n\nInput: 87397\nOutput: 124\n\nInput: 242\nOutput: 12\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 52\n\nInput: 21395\nOutput: 48\n\nInput: 2\nOutput: 4\n\nInput: 2679\nOutput: 68\n\nQuestion:\nWhat is the output of D(48049)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "The digits of 48049 are [4, 8, 0, 4, 9].\n4 is not prime: 4\n8 is not prime: 8\n0 is not prime: 0\n4 is not prime: 4\n9 is not prime: 9\nD(48049) = 4 + 8 + 0 + 4 + 9 = 25\n\n\\boxed{25}"}
-{"instruction": "Based on the input–output examples below, infer the rule implemented by function G. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 45\n\nInput: 41\nOutput: 11\n\nInput: 45\nOutput: 25\n\nInput: 87397\nOutput: 143\n\nInput: 242\nOutput: 16\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 111\n\nInput: 21395\nOutput: 70\n\nInput: 2\nOutput: 3\n\nInput: 2679\nOutput: 97\n\nQuestion:\nWhat is the output of G(81675)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "The digits of 81675 are [8, 1, 6, 7, 5].\nT(8) = 8*9/2 = 36\nT(1) = 1*2/2 = 1\nT(6) = 6*7/2 = 21\nT(7) = 7*8/2 = 28\nT(5) = 5*6/2 = 15\nG(81675) = 36 + 1 + 21 + 28 + 15 = 101\n\n\\boxed{101}"}
-{"instruction": "Based on the input–output examples below, infer the rule implemented by function G. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 45\n\nInput: 41\nOutput: 11\n\nInput: 45\nOutput: 25\n\nInput: 87397\nOutput: 143\n\nInput: 242\nOutput: 16\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 111\n\nInput: 21395\nOutput: 70\n\nInput: 2\nOutput: 3\n\nInput: 2679\nOutput: 97\n\nQuestion:\nWhat is the output of G(90406)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "The digits of 90406 are [9, 0, 4, 0, 6].\nT(9) = 9*10/2 = 45\nT(0) = 0*1/2 = 0\nT(4) = 4*5/2 = 10\nT(0) = 0*1/2 = 0\nT(6) = 6*7/2 = 21\nG(90406) = 45 + 0 + 10 + 0 + 21 = 76\n\n\\boxed{76}"}
-{"instruction": "Based on the input–output examples below, infer the rule implemented by function B. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 37\n\nInput: 41\nOutput: 9\n\nInput: 45\nOutput: 1\n\nInput: 87397\nOutput: 93\n\nInput: 242\nOutput: 4\n\nInput: 1\nOutput: 0\n\nInput: 9935\nOutput: 76\n\nInput: 21395\nOutput: 85\n\nInput: 2\nOutput: 0\n\nInput: 2679\nOutput: 90\n\nQuestion:\nWhat is the output of B(49840)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "The digits of 49840 are [4, 9, 8, 4, 0].\nMin digit = 0\n(4 - 0)^2 = 16\n(9 - 0)^2 = 81\n(8 - 0)^2 = 64\n(4 - 0)^2 = 16\n(0 - 0)^2 = 0\nB(49840) = 16 + 81 + 64 + 16 + 0 = 177\n\n\\boxed{177}"}
-{"instruction": "Based on the input–output examples below, infer the rule implemented by function F. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 14\n\nInput: 41\nOutput: 8\n\nInput: 45\nOutput: 9\n\nInput: 87397\nOutput: 42\n\nInput: 242\nOutput: 10\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 36\n\nInput: 21395\nOutput: 25\n\nInput: 2\nOutput: 2\n\nInput: 2679\nOutput: 24\n\nQuestion:\nWhat is the output of F(83928)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "The digits of 83928 are [8, 3, 9, 2, 8].\nRunning max: 8, 8, 9, 9, 9\nF(83928) = 8 + 8 + 9 + 9 + 9 = 43\n\n\\boxed{43}"}
-{"instruction": "Based on the input–output examples below, infer the rule implemented by function B. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 37\n\nInput: 41\nOutput: 9\n\nInput: 45\nOutput: 1\n\nInput: 87397\nOutput: 93\n\nInput: 242\nOutput: 4\n\nInput: 1\nOutput: 0\n\nInput: 9935\nOutput: 76\n\nInput: 21395\nOutput: 85\n\nInput: 2\nOutput: 0\n\nInput: 2679\nOutput: 90\n\nQuestion:\nWhat is the output of B(83928)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "The digits of 83928 are [8, 3, 9, 2, 8].\nMin digit = 2\n(8 - 2)^2 = 36\n(3 - 2)^2 = 1\n(9 - 2)^2 = 49\n(2 - 2)^2 = 0\n(8 - 2)^2 = 36\nB(83928) = 36 + 1 + 49 + 0 + 36 = 122\n\n\\boxed{122}"}
-{"instruction": "Based on the input–output examples below, infer the rule implemented by function A. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 104\n\nInput: 41\nOutput: 20\n\nInput: 45\nOutput: 45\n\nInput: 87397\nOutput: 306\n\nInput: 242\nOutput: 32\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 234\n\nInput: 21395\nOutput: 180\n\nInput: 2\nOutput: 4\n\nInput: 2679\nOutput: 216\n\nQuestion:\nWhat is the output of A(4897)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "The digits of 4897 are [4, 8, 9, 7].\nSum of digits = 4 + 8 + 9 + 7 = 28\nMax digit = 9\nA(4897) = 28 * 9 = 252\n\n\\boxed{252}"}
-{"instruction": "Based on the input–output examples below, infer the rule implemented by function G. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 45\n\nInput: 41\nOutput: 11\n\nInput: 45\nOutput: 25\n\nInput: 87397\nOutput: 143\n\nInput: 242\nOutput: 16\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 111\n\nInput: 21395\nOutput: 70\n\nInput: 2\nOutput: 3\n\nInput: 2679\nOutput: 97\n\nQuestion:\nWhat is the output of G(6368)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "The digits of 6368 are [6, 3, 6, 8].\nT(6) = 6*7/2 = 21\nT(3) = 3*4/2 = 6\nT(6) = 6*7/2 = 21\nT(8) = 8*9/2 = 36\nG(6368) = 21 + 6 + 21 + 36 = 84\n\n\\boxed{84}"}
-{"instruction": "Based on the input–output examples below, infer the rule implemented by function A. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 104\n\nInput: 41\nOutput: 20\n\nInput: 45\nOutput: 45\n\nInput: 87397\nOutput: 306\n\nInput: 242\nOutput: 32\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 234\n\nInput: 21395\nOutput: 180\n\nInput: 2\nOutput: 4\n\nInput: 2679\nOutput: 216\n\nQuestion:\nWhat is the output of A(2587)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "The digits of 2587 are [2, 5, 8, 7].\nSum of digits = 2 + 5 + 8 + 7 = 22\nMax digit = 8\nA(2587) = 22 * 8 = 176\n\n\\boxed{176}"}
-{"instruction": "Based on the input–output examples below, infer the rule implemented by function B. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 37\n\nInput: 41\nOutput: 9\n\nInput: 45\nOutput: 1\n\nInput: 87397\nOutput: 93\n\nInput: 242\nOutput: 4\n\nInput: 1\nOutput: 0\n\nInput: 9935\nOutput: 76\n\nInput: 21395\nOutput: 85\n\nInput: 2\nOutput: 0\n\nInput: 2679\nOutput: 90\n\nQuestion:\nWhat is the output of B(90406)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "The digits of 90406 are [9, 0, 4, 0, 6].\nMin digit = 0\n(9 - 0)^2 = 81\n(0 - 0)^2 = 0\n(4 - 0)^2 = 16\n(0 - 0)^2 = 0\n(6 - 0)^2 = 36\nB(90406) = 81 + 0 + 16 + 0 + 36 = 133\n\n\\boxed{133}"}
-{"instruction": "Based on the input–output examples below, infer the rule implemented by function F. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 14\n\nInput: 41\nOutput: 8\n\nInput: 45\nOutput: 9\n\nInput: 87397\nOutput: 42\n\nInput: 242\nOutput: 10\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 36\n\nInput: 21395\nOutput: 25\n\nInput: 2\nOutput: 2\n\nInput: 2679\nOutput: 24\n\nQuestion:\nWhat is the output of F(48049)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "The digits of 48049 are [4, 8, 0, 4, 9].\nRunning max: 4, 8, 8, 8, 9\nF(48049) = 4 + 8 + 8 + 8 + 9 = 37\n\n\\boxed{37}"}
-{"instruction": "Based on the input–output examples below, infer the rule implemented by function H. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 283\n\nInput: 41\nOutput: 14\n\nInput: 45\nOutput: 45\n\nInput: 87397\nOutput: 39787\n\nInput: 242\nOutput: 224\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 3599\n\nInput: 21395\nOutput: 13952\n\nInput: 2\nOutput: 2\n\nInput: 2679\nOutput: 2679\n\nQuestion:\nWhat is the output of H(6286)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "The digit string of 6286 is \"6286\".\nRotations: 6286, 2866, 8662, 6628\nH(6286) = min(6286, 2866, 8662, 6628) = 2866\n\n\\boxed{2866}"}
-{"instruction": "Based on the input–output examples below, infer the rule implemented by function G. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 45\n\nInput: 41\nOutput: 11\n\nInput: 45\nOutput: 25\n\nInput: 87397\nOutput: 143\n\nInput: 242\nOutput: 16\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 111\n\nInput: 21395\nOutput: 70\n\nInput: 2\nOutput: 3\n\nInput: 2679\nOutput: 97\n\nQuestion:\nWhat is the output of G(86765)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "The digits of 86765 are [8, 6, 7, 6, 5].\nT(8) = 8*9/2 = 36\nT(6) = 6*7/2 = 21\nT(7) = 7*8/2 = 28\nT(6) = 6*7/2 = 21\nT(5) = 5*6/2 = 15\nG(86765) = 36 + 21 + 28 + 21 + 15 = 121\n\n\\boxed{121}"}
-{"instruction": "Based on the input–output examples below, infer the rule implemented by function B. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 37\n\nInput: 41\nOutput: 9\n\nInput: 45\nOutput: 1\n\nInput: 87397\nOutput: 93\n\nInput: 242\nOutput: 4\n\nInput: 1\nOutput: 0\n\nInput: 9935\nOutput: 76\n\nInput: 21395\nOutput: 85\n\nInput: 2\nOutput: 0\n\nInput: 2679\nOutput: 90\n\nQuestion:\nWhat is the output of B(33126)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "The digits of 33126 are [3, 3, 1, 2, 6].\nMin digit = 1\n(3 - 1)^2 = 4\n(3 - 1)^2 = 4\n(1 - 1)^2 = 0\n(2 - 1)^2 = 1\n(6 - 1)^2 = 25\nB(33126) = 4 + 4 + 0 + 1 + 25 = 34\n\n\\boxed{34}"}
-{"instruction": "Based on the input–output examples below, infer the rule implemented by function E. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 52\n\nInput: 41\nOutput: 8\n\nInput: 45\nOutput: 40\n\nInput: 87397\nOutput: 247\n\nInput: 242\nOutput: 24\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 144\n\nInput: 21395\nOutput: 47\n\nInput: 2\nOutput: 4\n\nInput: 2679\nOutput: 120\n\nQuestion:\nWhat is the output of E(77846)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "The digits of 77846 are [7, 7, 8, 4, 6].\nReversed: [6, 4, 8, 7, 7]\n7*6 + 7*4 + 8*8 + 4*7 + 6*7 = 42 + 28 + 64 + 28 + 42 = 204\nE(77846) = 204\n\n\\boxed{204}"}
-{"instruction": "Based on the input–output examples below, infer the rule implemented by function A. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 104\n\nInput: 41\nOutput: 20\n\nInput: 45\nOutput: 45\n\nInput: 87397\nOutput: 306\n\nInput: 242\nOutput: 32\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 234\n\nInput: 21395\nOutput: 180\n\nInput: 2\nOutput: 4\n\nInput: 2679\nOutput: 216\n\nQuestion:\nWhat is the output of A(83928)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "The digits of 83928 are [8, 3, 9, 2, 8].\nSum of digits = 8 + 3 + 9 + 2 + 8 = 30\nMax digit = 9\nA(83928) = 30 * 9 = 270\n\n\\boxed{270}"}
-{"instruction": "Based on the input–output examples below, infer the rule implemented by function H. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 283\n\nInput: 41\nOutput: 14\n\nInput: 45\nOutput: 45\n\nInput: 87397\nOutput: 39787\n\nInput: 242\nOutput: 224\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 3599\n\nInput: 21395\nOutput: 13952\n\nInput: 2\nOutput: 2\n\nInput: 2679\nOutput: 2679\n\nQuestion:\nWhat is the output of H(58237)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "The digit string of 58237 is \"58237\".\nRotations: 58237, 82375, 23758, 37582, 75823\nH(58237) = min(58237, 82375, 23758, 37582, 75823) = 23758\n\n\\boxed{23758}"}
-{"instruction": "Based on the input–output examples below, infer the rule implemented by function B. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 37\n\nInput: 41\nOutput: 9\n\nInput: 45\nOutput: 1\n\nInput: 87397\nOutput: 93\n\nInput: 242\nOutput: 4\n\nInput: 1\nOutput: 0\n\nInput: 9935\nOutput: 76\n\nInput: 21395\nOutput: 85\n\nInput: 2\nOutput: 0\n\nInput: 2679\nOutput: 90\n\nQuestion:\nWhat is the output of B(86765)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "The digits of 86765 are [8, 6, 7, 6, 5].\nMin digit = 5\n(8 - 5)^2 = 9\n(6 - 5)^2 = 1\n(7 - 5)^2 = 4\n(6 - 5)^2 = 1\n(5 - 5)^2 = 0\nB(86765) = 9 + 1 + 4 + 1 + 0 = 15\n\n\\boxed{15}"}
-{"instruction": "Based on the input–output examples below, infer the rule implemented by function E. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 52\n\nInput: 41\nOutput: 8\n\nInput: 45\nOutput: 40\n\nInput: 87397\nOutput: 247\n\nInput: 242\nOutput: 24\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 144\n\nInput: 21395\nOutput: 47\n\nInput: 2\nOutput: 4\n\nInput: 2679\nOutput: 120\n\nQuestion:\nWhat is the output of E(33126)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "The digits of 33126 are [3, 3, 1, 2, 6].\nReversed: [6, 2, 1, 3, 3]\n3*6 + 3*2 + 1*1 + 2*3 + 6*3 = 18 + 6 + 1 + 6 + 18 = 49\nE(33126) = 49\n\n\\boxed{49}"}
-{"instruction": "Based on the input–output examples below, infer the rule implemented by function A. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 104\n\nInput: 41\nOutput: 20\n\nInput: 45\nOutput: 45\n\nInput: 87397\nOutput: 306\n\nInput: 242\nOutput: 32\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 234\n\nInput: 21395\nOutput: 180\n\nInput: 2\nOutput: 4\n\nInput: 2679\nOutput: 216\n\nQuestion:\nWhat is the output of A(86765)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "The digits of 86765 are [8, 6, 7, 6, 5].\nSum of digits = 8 + 6 + 7 + 6 + 5 = 32\nMax digit = 8\nA(86765) = 32 * 8 = 256\n\n\\boxed{256}"}
-{"instruction": "Based on the input–output examples below, infer the rule implemented by function B. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 37\n\nInput: 41\nOutput: 9\n\nInput: 45\nOutput: 1\n\nInput: 87397\nOutput: 93\n\nInput: 242\nOutput: 4\n\nInput: 1\nOutput: 0\n\nInput: 9935\nOutput: 76\n\nInput: 21395\nOutput: 85\n\nInput: 2\nOutput: 0\n\nInput: 2679\nOutput: 90\n\nQuestion:\nWhat is the output of B(6286)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "The digits of 6286 are [6, 2, 8, 6].\nMin digit = 2\n(6 - 2)^2 = 16\n(2 - 2)^2 = 0\n(8 - 2)^2 = 36\n(6 - 2)^2 = 16\nB(6286) = 16 + 0 + 36 + 16 = 68\n\n\\boxed{68}"}
-{"instruction": "Based on the input–output examples below, infer the rule implemented by function G. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 45\n\nInput: 41\nOutput: 11\n\nInput: 45\nOutput: 25\n\nInput: 87397\nOutput: 143\n\nInput: 242\nOutput: 16\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 111\n\nInput: 21395\nOutput: 70\n\nInput: 2\nOutput: 3\n\nInput: 2679\nOutput: 97\n\nQuestion:\nWhat is the output of G(4897)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "The digits of 4897 are [4, 8, 9, 7].\nT(4) = 4*5/2 = 10\nT(8) = 8*9/2 = 36\nT(9) = 9*10/2 = 45\nT(7) = 7*8/2 = 28\nG(4897) = 10 + 36 + 45 + 28 = 119\n\n\\boxed{119}"}
-{"instruction": "Based on the input–output examples below, infer the rule implemented by function C. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 69\n\nInput: 41\nOutput: 15\n\nInput: 45\nOutput: 9\n\nInput: 87397\nOutput: 8\n\nInput: 242\nOutput: 8\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 16\n\nInput: 21395\nOutput: 44\n\nInput: 2\nOutput: 4\n\nInput: 2679\nOutput: 64\n\nQuestion:\nWhat is the output of C(58237)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "The digits of 58237 are [5, 8, 2, 3, 7].\nAlternating sum of squares = 5^2 - 8^2 + 2^2 - 3^2 + 7^2 = 25 - 64 + 4 - 9 + 49 = 5\nC(58237) = |5| = 5\n\n\\boxed{5}"}
-{"instruction": "Based on the input–output examples below, infer the rule implemented by function C. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 69\n\nInput: 41\nOutput: 15\n\nInput: 45\nOutput: 9\n\nInput: 87397\nOutput: 8\n\nInput: 242\nOutput: 8\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 16\n\nInput: 21395\nOutput: 44\n\nInput: 2\nOutput: 4\n\nInput: 2679\nOutput: 64\n\nQuestion:\nWhat is the output of C(6286)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "The digits of 6286 are [6, 2, 8, 6].\nAlternating sum of squares = 6^2 - 2^2 + 8^2 - 6^2 = 36 - 4 + 64 - 36 = 60\nC(6286) = |60| = 60\n\n\\boxed{60}"}
-{"instruction": "Based on the input–output examples below, infer the rule implemented by function H. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 283\n\nInput: 41\nOutput: 14\n\nInput: 45\nOutput: 45\n\nInput: 87397\nOutput: 39787\n\nInput: 242\nOutput: 224\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 3599\n\nInput: 21395\nOutput: 13952\n\nInput: 2\nOutput: 2\n\nInput: 2679\nOutput: 2679\n\nQuestion:\nWhat is the output of H(49840)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "The digit string of 49840 is \"49840\".\nRotations: 49840, 98404, 84049, 40498, 4984\nH(49840) = min(49840, 98404, 84049, 40498, 4984) = 4984\n\n\\boxed{4984}"}
-{"instruction": "Based on the input–output examples below, infer the rule implemented by function B. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 37\n\nInput: 41\nOutput: 9\n\nInput: 45\nOutput: 1\n\nInput: 87397\nOutput: 93\n\nInput: 242\nOutput: 4\n\nInput: 1\nOutput: 0\n\nInput: 9935\nOutput: 76\n\nInput: 21395\nOutput: 85\n\nInput: 2\nOutput: 0\n\nInput: 2679\nOutput: 90\n\nQuestion:\nWhat is the output of B(70088)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "The digits of 70088 are [7, 0, 0, 8, 8].\nMin digit = 0\n(7 - 0)^2 = 49\n(0 - 0)^2 = 0\n(0 - 0)^2 = 0\n(8 - 0)^2 = 64\n(8 - 0)^2 = 64\nB(70088) = 49 + 0 + 0 + 64 + 64 = 177\n\n\\boxed{177}"}
-{"instruction": "Based on the input–output examples below, infer the rule implemented by function G. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 45\n\nInput: 41\nOutput: 11\n\nInput: 45\nOutput: 25\n\nInput: 87397\nOutput: 143\n\nInput: 242\nOutput: 16\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 111\n\nInput: 21395\nOutput: 70\n\nInput: 2\nOutput: 3\n\nInput: 2679\nOutput: 97\n\nQuestion:\nWhat is the output of G(33126)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "The digits of 33126 are [3, 3, 1, 2, 6].\nT(3) = 3*4/2 = 6\nT(3) = 3*4/2 = 6\nT(1) = 1*2/2 = 1\nT(2) = 2*3/2 = 3\nT(6) = 6*7/2 = 21\nG(33126) = 6 + 6 + 1 + 3 + 21 = 37\n\n\\boxed{37}"}
-{"instruction": "Based on the input–output examples below, infer the rule implemented by function G. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 45\n\nInput: 41\nOutput: 11\n\nInput: 45\nOutput: 25\n\nInput: 87397\nOutput: 143\n\nInput: 242\nOutput: 16\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 111\n\nInput: 21395\nOutput: 70\n\nInput: 2\nOutput: 3\n\nInput: 2679\nOutput: 97\n\nQuestion:\nWhat is the output of G(71733)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "The digits of 71733 are [7, 1, 7, 3, 3].\nT(7) = 7*8/2 = 28\nT(1) = 1*2/2 = 1\nT(7) = 7*8/2 = 28\nT(3) = 3*4/2 = 6\nT(3) = 3*4/2 = 6\nG(71733) = 28 + 1 + 28 + 6 + 6 = 69\n\n\\boxed{69}"}
-{"instruction": "Based on the input–output examples below, infer the rule implemented by function C. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 69\n\nInput: 41\nOutput: 15\n\nInput: 45\nOutput: 9\n\nInput: 87397\nOutput: 8\n\nInput: 242\nOutput: 8\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 16\n\nInput: 21395\nOutput: 44\n\nInput: 2\nOutput: 4\n\nInput: 2679\nOutput: 64\n\nQuestion:\nWhat is the output of C(77846)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "The digits of 77846 are [7, 7, 8, 4, 6].\nAlternating sum of squares = 7^2 - 7^2 + 8^2 - 4^2 + 6^2 = 49 - 49 + 64 - 16 + 36 = 84\nC(77846) = |84| = 84\n\n\\boxed{84}"}
-{"instruction": "Based on the input–output examples below, infer the rule implemented by function A. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 104\n\nInput: 41\nOutput: 20\n\nInput: 45\nOutput: 45\n\nInput: 87397\nOutput: 306\n\nInput: 242\nOutput: 32\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 234\n\nInput: 21395\nOutput: 180\n\nInput: 2\nOutput: 4\n\nInput: 2679\nOutput: 216\n\nQuestion:\nWhat is the output of A(77846)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "The digits of 77846 are [7, 7, 8, 4, 6].\nSum of digits = 7 + 7 + 8 + 4 + 6 = 32\nMax digit = 8\nA(77846) = 32 * 8 = 256\n\n\\boxed{256}"}
-{"instruction": "Based on the input–output examples below, infer the rule implemented by function F. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 14\n\nInput: 41\nOutput: 8\n\nInput: 45\nOutput: 9\n\nInput: 87397\nOutput: 42\n\nInput: 242\nOutput: 10\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 36\n\nInput: 21395\nOutput: 25\n\nInput: 2\nOutput: 2\n\nInput: 2679\nOutput: 24\n\nQuestion:\nWhat is the output of F(58237)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "The digits of 58237 are [5, 8, 2, 3, 7].\nRunning max: 5, 8, 8, 8, 8\nF(58237) = 5 + 8 + 8 + 8 + 8 = 37\n\n\\boxed{37}"}
-{"instruction": "Based on the input–output examples below, infer the rule implemented by function G. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 45\n\nInput: 41\nOutput: 11\n\nInput: 45\nOutput: 25\n\nInput: 87397\nOutput: 143\n\nInput: 242\nOutput: 16\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 111\n\nInput: 21395\nOutput: 70\n\nInput: 2\nOutput: 3\n\nInput: 2679\nOutput: 97\n\nQuestion:\nWhat is the output of G(77846)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "The digits of 77846 are [7, 7, 8, 4, 6].\nT(7) = 7*8/2 = 28\nT(7) = 7*8/2 = 28\nT(8) = 8*9/2 = 36\nT(4) = 4*5/2 = 10\nT(6) = 6*7/2 = 21\nG(77846) = 28 + 28 + 36 + 10 + 21 = 123\n\n\\boxed{123}"}
-{"instruction": "Based on the input–output examples below, infer the rule implemented by function C. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 69\n\nInput: 41\nOutput: 15\n\nInput: 45\nOutput: 9\n\nInput: 87397\nOutput: 8\n\nInput: 242\nOutput: 8\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 16\n\nInput: 21395\nOutput: 44\n\nInput: 2\nOutput: 4\n\nInput: 2679\nOutput: 64\n\nQuestion:\nWhat is the output of C(93206)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "The digits of 93206 are [9, 3, 2, 0, 6].\nAlternating sum of squares = 9^2 - 3^2 + 2^2 - 0^2 + 6^2 = 81 - 9 + 4 - 0 + 36 = 112\nC(93206) = |112| = 112\n\n\\boxed{112}"}
-{"instruction": "Based on the input–output examples below, infer the rule implemented by function F. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 14\n\nInput: 41\nOutput: 8\n\nInput: 45\nOutput: 9\n\nInput: 87397\nOutput: 42\n\nInput: 242\nOutput: 10\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 36\n\nInput: 21395\nOutput: 25\n\nInput: 2\nOutput: 2\n\nInput: 2679\nOutput: 24\n\nQuestion:\nWhat is the output of F(16143)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "The digits of 16143 are [1, 6, 1, 4, 3].\nRunning max: 1, 6, 6, 6, 6\nF(16143) = 1 + 6 + 6 + 6 + 6 = 25\n\n\\boxed{25}"}
-{"instruction": "Based on the input–output examples below, infer the rule implemented by function E. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 52\n\nInput: 41\nOutput: 8\n\nInput: 45\nOutput: 40\n\nInput: 87397\nOutput: 247\n\nInput: 242\nOutput: 24\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 144\n\nInput: 21395\nOutput: 47\n\nInput: 2\nOutput: 4\n\nInput: 2679\nOutput: 120\n\nQuestion:\nWhat is the output of E(33526)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "The digits of 33526 are [3, 3, 5, 2, 6].\nReversed: [6, 2, 5, 3, 3]\n3*6 + 3*2 + 5*5 + 2*3 + 6*3 = 18 + 6 + 25 + 6 + 18 = 73\nE(33526) = 73\n\n\\boxed{73}"}
-{"instruction": "Based on the input–output examples below, infer the rule implemented by function C. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 69\n\nInput: 41\nOutput: 15\n\nInput: 45\nOutput: 9\n\nInput: 87397\nOutput: 8\n\nInput: 242\nOutput: 8\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 16\n\nInput: 21395\nOutput: 44\n\nInput: 2\nOutput: 4\n\nInput: 2679\nOutput: 64\n\nQuestion:\nWhat is the output of C(62180)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "The digits of 62180 are [6, 2, 1, 8, 0].\nAlternating sum of squares = 6^2 - 2^2 + 1^2 - 8^2 + 0^2 = 36 - 4 + 1 - 64 + 0 = -31\nC(62180) = |-31| = 31\n\n\\boxed{31}"}
-{"instruction": "Based on the input–output examples below, infer the rule implemented by function E. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 52\n\nInput: 41\nOutput: 8\n\nInput: 45\nOutput: 40\n\nInput: 87397\nOutput: 247\n\nInput: 242\nOutput: 24\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 144\n\nInput: 21395\nOutput: 47\n\nInput: 2\nOutput: 4\n\nInput: 2679\nOutput: 120\n\nQuestion:\nWhat is the output of E(14170)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "The digits of 14170 are [1, 4, 1, 7, 0].\nReversed: [0, 7, 1, 4, 1]\n1*0 + 4*7 + 1*1 + 7*4 + 0*1 = 0 + 28 + 1 + 28 + 0 = 57\nE(14170) = 57\n\n\\boxed{57}"}
-{"instruction": "Based on the input–output examples below, infer the rule implemented by function E. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 52\n\nInput: 41\nOutput: 8\n\nInput: 45\nOutput: 40\n\nInput: 87397\nOutput: 247\n\nInput: 242\nOutput: 24\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 144\n\nInput: 21395\nOutput: 47\n\nInput: 2\nOutput: 4\n\nInput: 2679\nOutput: 120\n\nQuestion:\nWhat is the output of E(83928)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "The digits of 83928 are [8, 3, 9, 2, 8].\nReversed: [8, 2, 9, 3, 8]\n8*8 + 3*2 + 9*9 + 2*3 + 8*8 = 64 + 6 + 81 + 6 + 64 = 221\nE(83928) = 221\n\n\\boxed{221}"}
-{"instruction": "Based on the input–output examples below, infer the rule implemented by function D. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 21\n\nInput: 41\nOutput: 5\n\nInput: 45\nOutput: 29\n\nInput: 87397\nOutput: 124\n\nInput: 242\nOutput: 12\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 52\n\nInput: 21395\nOutput: 48\n\nInput: 2\nOutput: 4\n\nInput: 2679\nOutput: 68\n\nQuestion:\nWhat is the output of D(49840)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "The digits of 49840 are [4, 9, 8, 4, 0].\n4 is not prime: 4\n9 is not prime: 9\n8 is not prime: 8\n4 is not prime: 4\n0 is not prime: 0\nD(49840) = 4 + 9 + 8 + 4 + 0 = 25\n\n\\boxed{25}"}
-{"instruction": "Based on the input–output examples below, infer the rule implemented by function E. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 52\n\nInput: 41\nOutput: 8\n\nInput: 45\nOutput: 40\n\nInput: 87397\nOutput: 247\n\nInput: 242\nOutput: 24\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 144\n\nInput: 21395\nOutput: 47\n\nInput: 2\nOutput: 4\n\nInput: 2679\nOutput: 120\n\nQuestion:\nWhat is the output of E(4897)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "The digits of 4897 are [4, 8, 9, 7].\nReversed: [7, 9, 8, 4]\n4*7 + 8*9 + 9*8 + 7*4 = 28 + 72 + 72 + 28 = 200\nE(4897) = 200\n\n\\boxed{200}"}
-{"instruction": "Based on the input–output examples below, infer the rule implemented by function F. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 14\n\nInput: 41\nOutput: 8\n\nInput: 45\nOutput: 9\n\nInput: 87397\nOutput: 42\n\nInput: 242\nOutput: 10\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 36\n\nInput: 21395\nOutput: 25\n\nInput: 2\nOutput: 2\n\nInput: 2679\nOutput: 24\n\nQuestion:\nWhat is the output of F(49840)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "The digits of 49840 are [4, 9, 8, 4, 0].\nRunning max: 4, 9, 9, 9, 9\nF(49840) = 4 + 9 + 9 + 9 + 9 = 40\n\n\\boxed{40}"}
-{"instruction": "Based on the input–output examples below, infer the rule implemented by function B. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 37\n\nInput: 41\nOutput: 9\n\nInput: 45\nOutput: 1\n\nInput: 87397\nOutput: 93\n\nInput: 242\nOutput: 4\n\nInput: 1\nOutput: 0\n\nInput: 9935\nOutput: 76\n\nInput: 21395\nOutput: 85\n\nInput: 2\nOutput: 0\n\nInput: 2679\nOutput: 90\n\nQuestion:\nWhat is the output of B(15176)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "The digits of 15176 are [1, 5, 1, 7, 6].\nMin digit = 1\n(1 - 1)^2 = 0\n(5 - 1)^2 = 16\n(1 - 1)^2 = 0\n(7 - 1)^2 = 36\n(6 - 1)^2 = 25\nB(15176) = 0 + 16 + 0 + 36 + 25 = 77\n\n\\boxed{77}"}
-{"instruction": "Based on the input–output examples below, infer the rule implemented by function A. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 104\n\nInput: 41\nOutput: 20\n\nInput: 45\nOutput: 45\n\nInput: 87397\nOutput: 306\n\nInput: 242\nOutput: 32\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 234\n\nInput: 21395\nOutput: 180\n\nInput: 2\nOutput: 4\n\nInput: 2679\nOutput: 216\n\nQuestion:\nWhat is the output of A(16143)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "The digits of 16143 are [1, 6, 1, 4, 3].\nSum of digits = 1 + 6 + 1 + 4 + 3 = 15\nMax digit = 6\nA(16143) = 15 * 6 = 90\n\n\\boxed{90}"}
-{"instruction": "Based on the input–output examples below, infer the rule implemented by function G. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 45\n\nInput: 41\nOutput: 11\n\nInput: 45\nOutput: 25\n\nInput: 87397\nOutput: 143\n\nInput: 242\nOutput: 16\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 111\n\nInput: 21395\nOutput: 70\n\nInput: 2\nOutput: 3\n\nInput: 2679\nOutput: 97\n\nQuestion:\nWhat is the output of G(6286)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "The digits of 6286 are [6, 2, 8, 6].\nT(6) = 6*7/2 = 21\nT(2) = 2*3/2 = 3\nT(8) = 8*9/2 = 36\nT(6) = 6*7/2 = 21\nG(6286) = 21 + 3 + 36 + 21 = 81\n\n\\boxed{81}"}
-{"instruction": "Based on the input–output examples below, infer the rule implemented by function H. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 283\n\nInput: 41\nOutput: 14\n\nInput: 45\nOutput: 45\n\nInput: 87397\nOutput: 39787\n\nInput: 242\nOutput: 224\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 3599\n\nInput: 21395\nOutput: 13952\n\nInput: 2\nOutput: 2\n\nInput: 2679\nOutput: 2679\n\nQuestion:\nWhat is the output of H(90406)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "The digit string of 90406 is \"90406\".\nRotations: 90406, 4069, 40690, 6904, 69040\nH(90406) = min(90406, 4069, 40690, 6904, 69040) = 4069\n\n\\boxed{4069}"}
-{"instruction": "Based on the input–output examples below, infer the rule implemented by function A. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 104\n\nInput: 41\nOutput: 20\n\nInput: 45\nOutput: 45\n\nInput: 87397\nOutput: 306\n\nInput: 242\nOutput: 32\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 234\n\nInput: 21395\nOutput: 180\n\nInput: 2\nOutput: 4\n\nInput: 2679\nOutput: 216\n\nQuestion:\nWhat is the output of A(6322)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "The digits of 6322 are [6, 3, 2, 2].\nSum of digits = 6 + 3 + 2 + 2 = 13\nMax digit = 6\nA(6322) = 13 * 6 = 78\n\n\\boxed{78}"}
-{"instruction": "Based on the input–output examples below, infer the rule implemented by function D. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 21\n\nInput: 41\nOutput: 5\n\nInput: 45\nOutput: 29\n\nInput: 87397\nOutput: 124\n\nInput: 242\nOutput: 12\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 52\n\nInput: 21395\nOutput: 48\n\nInput: 2\nOutput: 4\n\nInput: 2679\nOutput: 68\n\nQuestion:\nWhat is the output of D(83928)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "The digits of 83928 are [8, 3, 9, 2, 8].\n8 is not prime: 8\n3 is prime: 3^2 = 9\n9 is not prime: 9\n2 is prime: 2^2 = 4\n8 is not prime: 8\nD(83928) = 8 + 9 + 9 + 4 + 8 = 38\n\n\\boxed{38}"}
-{"instruction": "Based on the input–output examples below, infer the rule implemented by function E. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 52\n\nInput: 41\nOutput: 8\n\nInput: 45\nOutput: 40\n\nInput: 87397\nOutput: 247\n\nInput: 242\nOutput: 24\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 144\n\nInput: 21395\nOutput: 47\n\nInput: 2\nOutput: 4\n\nInput: 2679\nOutput: 120\n\nQuestion:\nWhat is the output of E(93206)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "The digits of 93206 are [9, 3, 2, 0, 6].\nReversed: [6, 0, 2, 3, 9]\n9*6 + 3*0 + 2*2 + 0*3 + 6*9 = 54 + 0 + 4 + 0 + 54 = 112\nE(93206) = 112\n\n\\boxed{112}"}
-{"instruction": "Based on the input–output examples below, infer the rule implemented by function B. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 37\n\nInput: 41\nOutput: 9\n\nInput: 45\nOutput: 1\n\nInput: 87397\nOutput: 93\n\nInput: 242\nOutput: 4\n\nInput: 1\nOutput: 0\n\nInput: 9935\nOutput: 76\n\nInput: 21395\nOutput: 85\n\nInput: 2\nOutput: 0\n\nInput: 2679\nOutput: 90\n\nQuestion:\nWhat is the output of B(14170)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "The digits of 14170 are [1, 4, 1, 7, 0].\nMin digit = 0\n(1 - 0)^2 = 1\n(4 - 0)^2 = 16\n(1 - 0)^2 = 1\n(7 - 0)^2 = 49\n(0 - 0)^2 = 0\nB(14170) = 1 + 16 + 1 + 49 + 0 = 67\n\n\\boxed{67}"}
-{"instruction": "Based on the input–output examples below, infer the rule implemented by function G. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 45\n\nInput: 41\nOutput: 11\n\nInput: 45\nOutput: 25\n\nInput: 87397\nOutput: 143\n\nInput: 242\nOutput: 16\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 111\n\nInput: 21395\nOutput: 70\n\nInput: 2\nOutput: 3\n\nInput: 2679\nOutput: 97\n\nQuestion:\nWhat is the output of G(33526)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "The digits of 33526 are [3, 3, 5, 2, 6].\nT(3) = 3*4/2 = 6\nT(3) = 3*4/2 = 6\nT(5) = 5*6/2 = 15\nT(2) = 2*3/2 = 3\nT(6) = 6*7/2 = 21\nG(33526) = 6 + 6 + 15 + 3 + 21 = 51\n\n\\boxed{51}"}
-{"instruction": "Based on the input–output examples below, infer the rule implemented by function H. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 283\n\nInput: 41\nOutput: 14\n\nInput: 45\nOutput: 45\n\nInput: 87397\nOutput: 39787\n\nInput: 242\nOutput: 224\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 3599\n\nInput: 21395\nOutput: 13952\n\nInput: 2\nOutput: 2\n\nInput: 2679\nOutput: 2679\n\nQuestion:\nWhat is the output of H(48049)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "The digit string of 48049 is \"48049\".\nRotations: 48049, 80494, 4948, 49480, 94804\nH(48049) = min(48049, 80494, 4948, 49480, 94804) = 4948\n\n\\boxed{4948}"}
-{"instruction": "Based on the input–output examples below, infer the rule implemented by function F. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 14\n\nInput: 41\nOutput: 8\n\nInput: 45\nOutput: 9\n\nInput: 87397\nOutput: 42\n\nInput: 242\nOutput: 10\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 36\n\nInput: 21395\nOutput: 25\n\nInput: 2\nOutput: 2\n\nInput: 2679\nOutput: 24\n\nQuestion:\nWhat is the output of F(77846)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "The digits of 77846 are [7, 7, 8, 4, 6].\nRunning max: 7, 7, 8, 8, 8\nF(77846) = 7 + 7 + 8 + 8 + 8 = 38\n\n\\boxed{38}"}
-{"instruction": "Based on the input–output examples below, infer the rule implemented by function D. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 21\n\nInput: 41\nOutput: 5\n\nInput: 45\nOutput: 29\n\nInput: 87397\nOutput: 124\n\nInput: 242\nOutput: 12\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 52\n\nInput: 21395\nOutput: 48\n\nInput: 2\nOutput: 4\n\nInput: 2679\nOutput: 68\n\nQuestion:\nWhat is the output of D(4897)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "The digits of 4897 are [4, 8, 9, 7].\n4 is not prime: 4\n8 is not prime: 8\n9 is not prime: 9\n7 is prime: 7^2 = 49\nD(4897) = 4 + 8 + 9 + 49 = 70\n\n\\boxed{70}"}
-{"instruction": "Based on the input–output examples below, infer the rule implemented by function E. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 52\n\nInput: 41\nOutput: 8\n\nInput: 45\nOutput: 40\n\nInput: 87397\nOutput: 247\n\nInput: 242\nOutput: 24\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 144\n\nInput: 21395\nOutput: 47\n\nInput: 2\nOutput: 4\n\nInput: 2679\nOutput: 120\n\nQuestion:\nWhat is the output of E(2587)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "The digits of 2587 are [2, 5, 8, 7].\nReversed: [7, 8, 5, 2]\n2*7 + 5*8 + 8*5 + 7*2 = 14 + 40 + 40 + 14 = 108\nE(2587) = 108\n\n\\boxed{108}"}
-{"instruction": "Based on the input–output examples below, infer the rule implemented by function A. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 104\n\nInput: 41\nOutput: 20\n\nInput: 45\nOutput: 45\n\nInput: 87397\nOutput: 306\n\nInput: 242\nOutput: 32\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 234\n\nInput: 21395\nOutput: 180\n\nInput: 2\nOutput: 4\n\nInput: 2679\nOutput: 216\n\nQuestion:\nWhat is the output of A(58237)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "The digits of 58237 are [5, 8, 2, 3, 7].\nSum of digits = 5 + 8 + 2 + 3 + 7 = 25\nMax digit = 8\nA(58237) = 25 * 8 = 200\n\n\\boxed{200}"}
-{"instruction": "Based on the input–output examples below, infer the rule implemented by function A. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 104\n\nInput: 41\nOutput: 20\n\nInput: 45\nOutput: 45\n\nInput: 87397\nOutput: 306\n\nInput: 242\nOutput: 32\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 234\n\nInput: 21395\nOutput: 180\n\nInput: 2\nOutput: 4\n\nInput: 2679\nOutput: 216\n\nQuestion:\nWhat is the output of A(85664)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "The digits of 85664 are [8, 5, 6, 6, 4].\nSum of digits = 8 + 5 + 6 + 6 + 4 = 29\nMax digit = 8\nA(85664) = 29 * 8 = 232\n\n\\boxed{232}"}
-{"instruction": "Based on the input–output examples below, infer the rule implemented by function H. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 283\n\nInput: 41\nOutput: 14\n\nInput: 45\nOutput: 45\n\nInput: 87397\nOutput: 39787\n\nInput: 242\nOutput: 224\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 3599\n\nInput: 21395\nOutput: 13952\n\nInput: 2\nOutput: 2\n\nInput: 2679\nOutput: 2679\n\nQuestion:\nWhat is the output of H(93206)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "The digit string of 93206 is \"93206\".\nRotations: 93206, 32069, 20693, 6932, 69320\nH(93206) = min(93206, 32069, 20693, 6932, 69320) = 6932\n\n\\boxed{6932}"}
-{"instruction": "Based on the input–output examples below, infer the rule implemented by function F. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 14\n\nInput: 41\nOutput: 8\n\nInput: 45\nOutput: 9\n\nInput: 87397\nOutput: 42\n\nInput: 242\nOutput: 10\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 36\n\nInput: 21395\nOutput: 25\n\nInput: 2\nOutput: 2\n\nInput: 2679\nOutput: 24\n\nQuestion:\nWhat is the output of F(71733)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "The digits of 71733 are [7, 1, 7, 3, 3].\nRunning max: 7, 7, 7, 7, 7\nF(71733) = 7 + 7 + 7 + 7 + 7 = 35\n\n\\boxed{35}"}
-{"instruction": "Based on the input–output examples below, infer the rule implemented by function H. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 283\n\nInput: 41\nOutput: 14\n\nInput: 45\nOutput: 45\n\nInput: 87397\nOutput: 39787\n\nInput: 242\nOutput: 224\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 3599\n\nInput: 21395\nOutput: 13952\n\nInput: 2\nOutput: 2\n\nInput: 2679\nOutput: 2679\n\nQuestion:\nWhat is the output of H(49177)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "The digit string of 49177 is \"49177\".\nRotations: 49177, 91774, 17749, 77491, 74917\nH(49177) = min(49177, 91774, 17749, 77491, 74917) = 17749\n\n\\boxed{17749}"}
-{"instruction": "Based on the input–output examples below, infer the rule implemented by function C. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 69\n\nInput: 41\nOutput: 15\n\nInput: 45\nOutput: 9\n\nInput: 87397\nOutput: 8\n\nInput: 242\nOutput: 8\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 16\n\nInput: 21395\nOutput: 44\n\nInput: 2\nOutput: 4\n\nInput: 2679\nOutput: 64\n\nQuestion:\nWhat is the output of C(2587)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "The digits of 2587 are [2, 5, 8, 7].\nAlternating sum of squares = 2^2 - 5^2 + 8^2 - 7^2 = 4 - 25 + 64 - 49 = -6\nC(2587) = |-6| = 6\n\n\\boxed{6}"}
-{"instruction": "Based on the input–output examples below, infer the rule implemented by function D. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 21\n\nInput: 41\nOutput: 5\n\nInput: 45\nOutput: 29\n\nInput: 87397\nOutput: 124\n\nInput: 242\nOutput: 12\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 52\n\nInput: 21395\nOutput: 48\n\nInput: 2\nOutput: 4\n\nInput: 2679\nOutput: 68\n\nQuestion:\nWhat is the output of D(6368)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "The digits of 6368 are [6, 3, 6, 8].\n6 is not prime: 6\n3 is prime: 3^2 = 9\n6 is not prime: 6\n8 is not prime: 8\nD(6368) = 6 + 9 + 6 + 8 = 29\n\n\\boxed{29}"}
-{"instruction": "Based on the input–output examples below, infer the rule implemented by function G. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 45\n\nInput: 41\nOutput: 11\n\nInput: 45\nOutput: 25\n\nInput: 87397\nOutput: 143\n\nInput: 242\nOutput: 16\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 111\n\nInput: 21395\nOutput: 70\n\nInput: 2\nOutput: 3\n\nInput: 2679\nOutput: 97\n\nQuestion:\nWhat is the output of G(2587)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "The digits of 2587 are [2, 5, 8, 7].\nT(2) = 2*3/2 = 3\nT(5) = 5*6/2 = 15\nT(8) = 8*9/2 = 36\nT(7) = 7*8/2 = 28\nG(2587) = 3 + 15 + 36 + 28 = 82\n\n\\boxed{82}"}
-{"instruction": "Based on the input–output examples below, infer the rule implemented by function B. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 37\n\nInput: 41\nOutput: 9\n\nInput: 45\nOutput: 1\n\nInput: 87397\nOutput: 93\n\nInput: 242\nOutput: 4\n\nInput: 1\nOutput: 0\n\nInput: 9935\nOutput: 76\n\nInput: 21395\nOutput: 85\n\nInput: 2\nOutput: 0\n\nInput: 2679\nOutput: 90\n\nQuestion:\nWhat is the output of B(71733)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "The digits of 71733 are [7, 1, 7, 3, 3].\nMin digit = 1\n(7 - 1)^2 = 36\n(1 - 1)^2 = 0\n(7 - 1)^2 = 36\n(3 - 1)^2 = 4\n(3 - 1)^2 = 4\nB(71733) = 36 + 0 + 36 + 4 + 4 = 80\n\n\\boxed{80}"}
-{"instruction": "Based on the input–output examples below, infer the rule implemented by function E. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 52\n\nInput: 41\nOutput: 8\n\nInput: 45\nOutput: 40\n\nInput: 87397\nOutput: 247\n\nInput: 242\nOutput: 24\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 144\n\nInput: 21395\nOutput: 47\n\nInput: 2\nOutput: 4\n\nInput: 2679\nOutput: 120\n\nQuestion:\nWhat is the output of E(49177)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "The digits of 49177 are [4, 9, 1, 7, 7].\nReversed: [7, 7, 1, 9, 4]\n4*7 + 9*7 + 1*1 + 7*9 + 7*4 = 28 + 63 + 1 + 63 + 28 = 183\nE(49177) = 183\n\n\\boxed{183}"}
-{"instruction": "Based on the input–output examples below, infer the rule implemented by function D. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 21\n\nInput: 41\nOutput: 5\n\nInput: 45\nOutput: 29\n\nInput: 87397\nOutput: 124\n\nInput: 242\nOutput: 12\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 52\n\nInput: 21395\nOutput: 48\n\nInput: 2\nOutput: 4\n\nInput: 2679\nOutput: 68\n\nQuestion:\nWhat is the output of D(49177)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "The digits of 49177 are [4, 9, 1, 7, 7].\n4 is not prime: 4\n9 is not prime: 9\n1 is not prime: 1\n7 is prime: 7^2 = 49\n7 is prime: 7^2 = 49\nD(49177) = 4 + 9 + 1 + 49 + 49 = 112\n\n\\boxed{112}"}
-{"instruction": "Based on the input–output examples below, infer the rule implemented by function C. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 69\n\nInput: 41\nOutput: 15\n\nInput: 45\nOutput: 9\n\nInput: 87397\nOutput: 8\n\nInput: 242\nOutput: 8\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 16\n\nInput: 21395\nOutput: 44\n\nInput: 2\nOutput: 4\n\nInput: 2679\nOutput: 64\n\nQuestion:\nWhat is the output of C(49177)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "The digits of 49177 are [4, 9, 1, 7, 7].\nAlternating sum of squares = 4^2 - 9^2 + 1^2 - 7^2 + 7^2 = 16 - 81 + 1 - 49 + 49 = -64\nC(49177) = |-64| = 64\n\n\\boxed{64}"}
-{"instruction": "Based on the input–output examples below, infer the rule implemented by function H. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 283\n\nInput: 41\nOutput: 14\n\nInput: 45\nOutput: 45\n\nInput: 87397\nOutput: 39787\n\nInput: 242\nOutput: 224\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 3599\n\nInput: 21395\nOutput: 13952\n\nInput: 2\nOutput: 2\n\nInput: 2679\nOutput: 2679\n\nQuestion:\nWhat is the output of H(71733)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "The digit string of 71733 is \"71733\".\nRotations: 71733, 17337, 73371, 33717, 37173\nH(71733) = min(71733, 17337, 73371, 33717, 37173) = 17337\n\n\\boxed{17337}"}
-{"instruction": "Based on the input–output examples below, infer the rule implemented by function D. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 21\n\nInput: 41\nOutput: 5\n\nInput: 45\nOutput: 29\n\nInput: 87397\nOutput: 124\n\nInput: 242\nOutput: 12\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 52\n\nInput: 21395\nOutput: 48\n\nInput: 2\nOutput: 4\n\nInput: 2679\nOutput: 68\n\nQuestion:\nWhat is the output of D(77846)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "The digits of 77846 are [7, 7, 8, 4, 6].\n7 is prime: 7^2 = 49\n7 is prime: 7^2 = 49\n8 is not prime: 8\n4 is not prime: 4\n6 is not prime: 6\nD(77846) = 49 + 49 + 8 + 4 + 6 = 116\n\n\\boxed{116}"}
-{"instruction": "Based on the input–output examples below, infer the rule implemented by function E. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 52\n\nInput: 41\nOutput: 8\n\nInput: 45\nOutput: 40\n\nInput: 87397\nOutput: 247\n\nInput: 242\nOutput: 24\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 144\n\nInput: 21395\nOutput: 47\n\nInput: 2\nOutput: 4\n\nInput: 2679\nOutput: 120\n\nQuestion:\nWhat is the output of E(15176)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "The digits of 15176 are [1, 5, 1, 7, 6].\nReversed: [6, 7, 1, 5, 1]\n1*6 + 5*7 + 1*1 + 7*5 + 6*1 = 6 + 35 + 1 + 35 + 6 = 83\nE(15176) = 83\n\n\\boxed{83}"}
-{"instruction": "Based on the input–output examples below, infer the rule implemented by function E. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 52\n\nInput: 41\nOutput: 8\n\nInput: 45\nOutput: 40\n\nInput: 87397\nOutput: 247\n\nInput: 242\nOutput: 24\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 144\n\nInput: 21395\nOutput: 47\n\nInput: 2\nOutput: 4\n\nInput: 2679\nOutput: 120\n\nQuestion:\nWhat is the output of E(6368)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "The digits of 6368 are [6, 3, 6, 8].\nReversed: [8, 6, 3, 6]\n6*8 + 3*6 + 6*3 + 8*6 = 48 + 18 + 18 + 48 = 132\nE(6368) = 132\n\n\\boxed{132}"}
-{"instruction": "Based on the input–output examples below, infer the rule implemented by function F. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 14\n\nInput: 41\nOutput: 8\n\nInput: 45\nOutput: 9\n\nInput: 87397\nOutput: 42\n\nInput: 242\nOutput: 10\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 36\n\nInput: 21395\nOutput: 25\n\nInput: 2\nOutput: 2\n\nInput: 2679\nOutput: 24\n\nQuestion:\nWhat is the output of F(81675)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "The digits of 81675 are [8, 1, 6, 7, 5].\nRunning max: 8, 8, 8, 8, 8\nF(81675) = 8 + 8 + 8 + 8 + 8 = 40\n\n\\boxed{40}"}
-{"instruction": "Based on the input–output examples below, infer the rule implemented by function F. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 14\n\nInput: 41\nOutput: 8\n\nInput: 45\nOutput: 9\n\nInput: 87397\nOutput: 42\n\nInput: 242\nOutput: 10\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 36\n\nInput: 21395\nOutput: 25\n\nInput: 2\nOutput: 2\n\nInput: 2679\nOutput: 24\n\nQuestion:\nWhat is the output of F(90406)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "The digits of 90406 are [9, 0, 4, 0, 6].\nRunning max: 9, 9, 9, 9, 9\nF(90406) = 9 + 9 + 9 + 9 + 9 = 45\n\n\\boxed{45}"}
-{"instruction": "Based on the input–output examples below, infer the rule implemented by function B. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 37\n\nInput: 41\nOutput: 9\n\nInput: 45\nOutput: 1\n\nInput: 87397\nOutput: 93\n\nInput: 242\nOutput: 4\n\nInput: 1\nOutput: 0\n\nInput: 9935\nOutput: 76\n\nInput: 21395\nOutput: 85\n\nInput: 2\nOutput: 0\n\nInput: 2679\nOutput: 90\n\nQuestion:\nWhat is the output of B(81675)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "The digits of 81675 are [8, 1, 6, 7, 5].\nMin digit = 1\n(8 - 1)^2 = 49\n(1 - 1)^2 = 0\n(6 - 1)^2 = 25\n(7 - 1)^2 = 36\n(5 - 1)^2 = 16\nB(81675) = 49 + 0 + 25 + 36 + 16 = 126\n\n\\boxed{126}"}
-{"instruction": "Based on the input–output examples below, infer the rule implemented by function A. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 104\n\nInput: 41\nOutput: 20\n\nInput: 45\nOutput: 45\n\nInput: 87397\nOutput: 306\n\nInput: 242\nOutput: 32\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 234\n\nInput: 21395\nOutput: 180\n\nInput: 2\nOutput: 4\n\nInput: 2679\nOutput: 216\n\nQuestion:\nWhat is the output of A(15176)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "The digits of 15176 are [1, 5, 1, 7, 6].\nSum of digits = 1 + 5 + 1 + 7 + 6 = 20\nMax digit = 7\nA(15176) = 20 * 7 = 140\n\n\\boxed{140}"}
-{"instruction": "Based on the input–output examples below, infer the rule implemented by function F. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 14\n\nInput: 41\nOutput: 8\n\nInput: 45\nOutput: 9\n\nInput: 87397\nOutput: 42\n\nInput: 242\nOutput: 10\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 36\n\nInput: 21395\nOutput: 25\n\nInput: 2\nOutput: 2\n\nInput: 2679\nOutput: 24\n\nQuestion:\nWhat is the output of F(2587)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "The digits of 2587 are [2, 5, 8, 7].\nRunning max: 2, 5, 8, 8\nF(2587) = 2 + 5 + 8 + 8 = 23\n\n\\boxed{23}"}
-{"instruction": "Based on the input–output examples below, infer the rule implemented by function E. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 52\n\nInput: 41\nOutput: 8\n\nInput: 45\nOutput: 40\n\nInput: 87397\nOutput: 247\n\nInput: 242\nOutput: 24\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 144\n\nInput: 21395\nOutput: 47\n\nInput: 2\nOutput: 4\n\nInput: 2679\nOutput: 120\n\nQuestion:\nWhat is the output of E(62180)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "The digits of 62180 are [6, 2, 1, 8, 0].\nReversed: [0, 8, 1, 2, 6]\n6*0 + 2*8 + 1*1 + 8*2 + 0*6 = 0 + 16 + 1 + 16 + 0 = 33\nE(62180) = 33\n\n\\boxed{33}"}
-{"instruction": "Based on the input–output examples below, infer the rule implemented by function H. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 283\n\nInput: 41\nOutput: 14\n\nInput: 45\nOutput: 45\n\nInput: 87397\nOutput: 39787\n\nInput: 242\nOutput: 224\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 3599\n\nInput: 21395\nOutput: 13952\n\nInput: 2\nOutput: 2\n\nInput: 2679\nOutput: 2679\n\nQuestion:\nWhat is the output of H(16143)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "The digit string of 16143 is \"16143\".\nRotations: 16143, 61431, 14316, 43161, 31614\nH(16143) = min(16143, 61431, 14316, 43161, 31614) = 14316\n\n\\boxed{14316}"}
-{"instruction": "Based on the input–output examples below, infer the rule implemented by function C. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 69\n\nInput: 41\nOutput: 15\n\nInput: 45\nOutput: 9\n\nInput: 87397\nOutput: 8\n\nInput: 242\nOutput: 8\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 16\n\nInput: 21395\nOutput: 44\n\nInput: 2\nOutput: 4\n\nInput: 2679\nOutput: 64\n\nQuestion:\nWhat is the output of C(14170)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "The digits of 14170 are [1, 4, 1, 7, 0].\nAlternating sum of squares = 1^2 - 4^2 + 1^2 - 7^2 + 0^2 = 1 - 16 + 1 - 49 + 0 = -63\nC(14170) = |-63| = 63\n\n\\boxed{63}"}
-{"instruction": "Based on the input–output examples below, infer the rule implemented by function D. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 21\n\nInput: 41\nOutput: 5\n\nInput: 45\nOutput: 29\n\nInput: 87397\nOutput: 124\n\nInput: 242\nOutput: 12\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 52\n\nInput: 21395\nOutput: 48\n\nInput: 2\nOutput: 4\n\nInput: 2679\nOutput: 68\n\nQuestion:\nWhat is the output of D(81675)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "The digits of 81675 are [8, 1, 6, 7, 5].\n8 is not prime: 8\n1 is not prime: 1\n6 is not prime: 6\n7 is prime: 7^2 = 49\n5 is prime: 5^2 = 25\nD(81675) = 8 + 1 + 6 + 49 + 25 = 89\n\n\\boxed{89}"}
-{"instruction": "Based on the input–output examples below, infer the rule implemented by function F. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 14\n\nInput: 41\nOutput: 8\n\nInput: 45\nOutput: 9\n\nInput: 87397\nOutput: 42\n\nInput: 242\nOutput: 10\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 36\n\nInput: 21395\nOutput: 25\n\nInput: 2\nOutput: 2\n\nInput: 2679\nOutput: 24\n\nQuestion:\nWhat is the output of F(62180)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "The digits of 62180 are [6, 2, 1, 8, 0].\nRunning max: 6, 6, 6, 8, 8\nF(62180) = 6 + 6 + 6 + 8 + 8 = 34\n\n\\boxed{34}"}
-{"instruction": "Based on the input–output examples below, infer the rule implemented by function E. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 52\n\nInput: 41\nOutput: 8\n\nInput: 45\nOutput: 40\n\nInput: 87397\nOutput: 247\n\nInput: 242\nOutput: 24\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 144\n\nInput: 21395\nOutput: 47\n\nInput: 2\nOutput: 4\n\nInput: 2679\nOutput: 120\n\nQuestion:\nWhat is the output of E(16143)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "The digits of 16143 are [1, 6, 1, 4, 3].\nReversed: [3, 4, 1, 6, 1]\n1*3 + 6*4 + 1*1 + 4*6 + 3*1 = 3 + 24 + 1 + 24 + 3 = 55\nE(16143) = 55\n\n\\boxed{55}"}
-{"instruction": "Based on the input–output examples below, infer the rule implemented by function G. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 45\n\nInput: 41\nOutput: 11\n\nInput: 45\nOutput: 25\n\nInput: 87397\nOutput: 143\n\nInput: 242\nOutput: 16\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 111\n\nInput: 21395\nOutput: 70\n\nInput: 2\nOutput: 3\n\nInput: 2679\nOutput: 97\n\nQuestion:\nWhat is the output of G(83928)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "The digits of 83928 are [8, 3, 9, 2, 8].\nT(8) = 8*9/2 = 36\nT(3) = 3*4/2 = 6\nT(9) = 9*10/2 = 45\nT(2) = 2*3/2 = 3\nT(8) = 8*9/2 = 36\nG(83928) = 36 + 6 + 45 + 3 + 36 = 126\n\n\\boxed{126}"}
-{"instruction": "Based on the input–output examples below, infer the rule implemented by function C. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 69\n\nInput: 41\nOutput: 15\n\nInput: 45\nOutput: 9\n\nInput: 87397\nOutput: 8\n\nInput: 242\nOutput: 8\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 16\n\nInput: 21395\nOutput: 44\n\nInput: 2\nOutput: 4\n\nInput: 2679\nOutput: 64\n\nQuestion:\nWhat is the output of C(33126)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "The digits of 33126 are [3, 3, 1, 2, 6].\nAlternating sum of squares = 3^2 - 3^2 + 1^2 - 2^2 + 6^2 = 9 - 9 + 1 - 4 + 36 = 33\nC(33126) = |33| = 33\n\n\\boxed{33}"}
-{"instruction": "Based on the input–output examples below, infer the rule implemented by function B. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 37\n\nInput: 41\nOutput: 9\n\nInput: 45\nOutput: 1\n\nInput: 87397\nOutput: 93\n\nInput: 242\nOutput: 4\n\nInput: 1\nOutput: 0\n\nInput: 9935\nOutput: 76\n\nInput: 21395\nOutput: 85\n\nInput: 2\nOutput: 0\n\nInput: 2679\nOutput: 90\n\nQuestion:\nWhat is the output of B(93206)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "The digits of 93206 are [9, 3, 2, 0, 6].\nMin digit = 0\n(9 - 0)^2 = 81\n(3 - 0)^2 = 9\n(2 - 0)^2 = 4\n(0 - 0)^2 = 0\n(6 - 0)^2 = 36\nB(93206) = 81 + 9 + 4 + 0 + 36 = 130\n\n\\boxed{130}"}
-{"instruction": "Based on the input–output examples below, infer the rule implemented by function H. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 283\n\nInput: 41\nOutput: 14\n\nInput: 45\nOutput: 45\n\nInput: 87397\nOutput: 39787\n\nInput: 242\nOutput: 224\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 3599\n\nInput: 21395\nOutput: 13952\n\nInput: 2\nOutput: 2\n\nInput: 2679\nOutput: 2679\n\nQuestion:\nWhat is the output of H(6368)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "The digit string of 6368 is \"6368\".\nRotations: 6368, 3686, 6863, 8636\nH(6368) = min(6368, 3686, 6863, 8636) = 3686\n\n\\boxed{3686}"}
-{"instruction": "Based on the input–output examples below, infer the rule implemented by function E. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 52\n\nInput: 41\nOutput: 8\n\nInput: 45\nOutput: 40\n\nInput: 87397\nOutput: 247\n\nInput: 242\nOutput: 24\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 144\n\nInput: 21395\nOutput: 47\n\nInput: 2\nOutput: 4\n\nInput: 2679\nOutput: 120\n\nQuestion:\nWhat is the output of E(86765)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "The digits of 86765 are [8, 6, 7, 6, 5].\nReversed: [5, 6, 7, 6, 8]\n8*5 + 6*6 + 7*7 + 6*6 + 5*8 = 40 + 36 + 49 + 36 + 40 = 201\nE(86765) = 201\n\n\\boxed{201}"}
-{"instruction": "Based on the input–output examples below, infer the rule implemented by function C. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 69\n\nInput: 41\nOutput: 15\n\nInput: 45\nOutput: 9\n\nInput: 87397\nOutput: 8\n\nInput: 242\nOutput: 8\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 16\n\nInput: 21395\nOutput: 44\n\nInput: 2\nOutput: 4\n\nInput: 2679\nOutput: 64\n\nQuestion:\nWhat is the output of C(48049)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "The digits of 48049 are [4, 8, 0, 4, 9].\nAlternating sum of squares = 4^2 - 8^2 + 0^2 - 4^2 + 9^2 = 16 - 64 + 0 - 16 + 81 = 17\nC(48049) = |17| = 17\n\n\\boxed{17}"}
-{"instruction": "Based on the input–output examples below, infer the rule implemented by function G. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 45\n\nInput: 41\nOutput: 11\n\nInput: 45\nOutput: 25\n\nInput: 87397\nOutput: 143\n\nInput: 242\nOutput: 16\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 111\n\nInput: 21395\nOutput: 70\n\nInput: 2\nOutput: 3\n\nInput: 2679\nOutput: 97\n\nQuestion:\nWhat is the output of G(91995)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "The digits of 91995 are [9, 1, 9, 9, 5].\nT(9) = 9*10/2 = 45\nT(1) = 1*2/2 = 1\nT(9) = 9*10/2 = 45\nT(9) = 9*10/2 = 45\nT(5) = 5*6/2 = 15\nG(91995) = 45 + 1 + 45 + 45 + 15 = 151\n\n\\boxed{151}"}
-{"instruction": "Based on the input–output examples below, infer the rule implemented by function A. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 104\n\nInput: 41\nOutput: 20\n\nInput: 45\nOutput: 45\n\nInput: 87397\nOutput: 306\n\nInput: 242\nOutput: 32\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 234\n\nInput: 21395\nOutput: 180\n\nInput: 2\nOutput: 4\n\nInput: 2679\nOutput: 216\n\nQuestion:\nWhat is the output of A(49177)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "The digits of 49177 are [4, 9, 1, 7, 7].\nSum of digits = 4 + 9 + 1 + 7 + 7 = 28\nMax digit = 9\nA(49177) = 28 * 9 = 252\n\n\\boxed{252}"}
-{"instruction": "Based on the input–output examples below, infer the rule implemented by function B. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 37\n\nInput: 41\nOutput: 9\n\nInput: 45\nOutput: 1\n\nInput: 87397\nOutput: 93\n\nInput: 242\nOutput: 4\n\nInput: 1\nOutput: 0\n\nInput: 9935\nOutput: 76\n\nInput: 21395\nOutput: 85\n\nInput: 2\nOutput: 0\n\nInput: 2679\nOutput: 90\n\nQuestion:\nWhat is the output of B(49177)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "The digits of 49177 are [4, 9, 1, 7, 7].\nMin digit = 1\n(4 - 1)^2 = 9\n(9 - 1)^2 = 64\n(1 - 1)^2 = 0\n(7 - 1)^2 = 36\n(7 - 1)^2 = 36\nB(49177) = 9 + 64 + 0 + 36 + 36 = 145\n\n\\boxed{145}"}
-{"instruction": "Based on the input–output examples below, infer the rule implemented by function H. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 283\n\nInput: 41\nOutput: 14\n\nInput: 45\nOutput: 45\n\nInput: 87397\nOutput: 39787\n\nInput: 242\nOutput: 224\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 3599\n\nInput: 21395\nOutput: 13952\n\nInput: 2\nOutput: 2\n\nInput: 2679\nOutput: 2679\n\nQuestion:\nWhat is the output of H(81675)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "The digit string of 81675 is \"81675\".\nRotations: 81675, 16758, 67581, 75816, 58167\nH(81675) = min(81675, 16758, 67581, 75816, 58167) = 16758\n\n\\boxed{16758}"}
-{"instruction": "Based on the input–output examples below, infer the rule implemented by function D. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 21\n\nInput: 41\nOutput: 5\n\nInput: 45\nOutput: 29\n\nInput: 87397\nOutput: 124\n\nInput: 242\nOutput: 12\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 52\n\nInput: 21395\nOutput: 48\n\nInput: 2\nOutput: 4\n\nInput: 2679\nOutput: 68\n\nQuestion:\nWhat is the output of D(91995)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "The digits of 91995 are [9, 1, 9, 9, 5].\n9 is not prime: 9\n1 is not prime: 1\n9 is not prime: 9\n9 is not prime: 9\n5 is prime: 5^2 = 25\nD(91995) = 9 + 1 + 9 + 9 + 25 = 53\n\n\\boxed{53}"}
-{"instruction": "Based on the input–output examples below, infer the rule implemented by function D. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 21\n\nInput: 41\nOutput: 5\n\nInput: 45\nOutput: 29\n\nInput: 87397\nOutput: 124\n\nInput: 242\nOutput: 12\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 52\n\nInput: 21395\nOutput: 48\n\nInput: 2\nOutput: 4\n\nInput: 2679\nOutput: 68\n\nQuestion:\nWhat is the output of D(62180)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "The digits of 62180 are [6, 2, 1, 8, 0].\n6 is not prime: 6\n2 is prime: 2^2 = 4\n1 is not prime: 1\n8 is not prime: 8\n0 is not prime: 0\nD(62180) = 6 + 4 + 1 + 8 + 0 = 19\n\n\\boxed{19}"}
-{"instruction": "Based on the input–output examples below, infer the rule implemented by function F. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 14\n\nInput: 41\nOutput: 8\n\nInput: 45\nOutput: 9\n\nInput: 87397\nOutput: 42\n\nInput: 242\nOutput: 10\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 36\n\nInput: 21395\nOutput: 25\n\nInput: 2\nOutput: 2\n\nInput: 2679\nOutput: 24\n\nQuestion:\nWhat is the output of F(33526)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "The digits of 33526 are [3, 3, 5, 2, 6].\nRunning max: 3, 3, 5, 5, 6\nF(33526) = 3 + 3 + 5 + 5 + 6 = 22\n\n\\boxed{22}"}
-{"instruction": "Based on the input–output examples below, infer the rule implemented by function E. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 52\n\nInput: 41\nOutput: 8\n\nInput: 45\nOutput: 40\n\nInput: 87397\nOutput: 247\n\nInput: 242\nOutput: 24\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 144\n\nInput: 21395\nOutput: 47\n\nInput: 2\nOutput: 4\n\nInput: 2679\nOutput: 120\n\nQuestion:\nWhat is the output of E(91995)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "The digits of 91995 are [9, 1, 9, 9, 5].\nReversed: [5, 9, 9, 1, 9]\n9*5 + 1*9 + 9*9 + 9*1 + 5*9 = 45 + 9 + 81 + 9 + 45 = 189\nE(91995) = 189\n\n\\boxed{189}"}
-{"instruction": "Based on the input–output examples below, infer the rule implemented by function H. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 283\n\nInput: 41\nOutput: 14\n\nInput: 45\nOutput: 45\n\nInput: 87397\nOutput: 39787\n\nInput: 242\nOutput: 224\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 3599\n\nInput: 21395\nOutput: 13952\n\nInput: 2\nOutput: 2\n\nInput: 2679\nOutput: 2679\n\nQuestion:\nWhat is the output of H(62180)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "The digit string of 62180 is \"62180\".\nRotations: 62180, 21806, 18062, 80621, 6218\nH(62180) = min(62180, 21806, 18062, 80621, 6218) = 6218\n\n\\boxed{6218}"}
-{"instruction": "Based on the input–output examples below, infer the rule implemented by function F. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 14\n\nInput: 41\nOutput: 8\n\nInput: 45\nOutput: 9\n\nInput: 87397\nOutput: 42\n\nInput: 242\nOutput: 10\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 36\n\nInput: 21395\nOutput: 25\n\nInput: 2\nOutput: 2\n\nInput: 2679\nOutput: 24\n\nQuestion:\nWhat is the output of F(6368)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "The digits of 6368 are [6, 3, 6, 8].\nRunning max: 6, 6, 6, 8\nF(6368) = 6 + 6 + 6 + 8 = 26\n\n\\boxed{26}"}
-{"instruction": "Based on the input–output examples below, infer the rule implemented by function H. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 283\n\nInput: 41\nOutput: 14\n\nInput: 45\nOutput: 45\n\nInput: 87397\nOutput: 39787\n\nInput: 242\nOutput: 224\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 3599\n\nInput: 21395\nOutput: 13952\n\nInput: 2\nOutput: 2\n\nInput: 2679\nOutput: 2679\n\nQuestion:\nWhat is the output of H(4897)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "The digit string of 4897 is \"4897\".\nRotations: 4897, 8974, 9748, 7489\nH(4897) = min(4897, 8974, 9748, 7489) = 4897\n\n\\boxed{4897}"}
-{"instruction": "Based on the input–output examples below, infer the rule implemented by function E. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 52\n\nInput: 41\nOutput: 8\n\nInput: 45\nOutput: 40\n\nInput: 87397\nOutput: 247\n\nInput: 242\nOutput: 24\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 144\n\nInput: 21395\nOutput: 47\n\nInput: 2\nOutput: 4\n\nInput: 2679\nOutput: 120\n\nQuestion:\nWhat is the output of E(49840)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "The digits of 49840 are [4, 9, 8, 4, 0].\nReversed: [0, 4, 8, 9, 4]\n4*0 + 9*4 + 8*8 + 4*9 + 0*4 = 0 + 36 + 64 + 36 + 0 = 136\nE(49840) = 136\n\n\\boxed{136}"}
-{"instruction": "Based on the input–output examples below, infer the rule implemented by function B. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 37\n\nInput: 41\nOutput: 9\n\nInput: 45\nOutput: 1\n\nInput: 87397\nOutput: 93\n\nInput: 242\nOutput: 4\n\nInput: 1\nOutput: 0\n\nInput: 9935\nOutput: 76\n\nInput: 21395\nOutput: 85\n\nInput: 2\nOutput: 0\n\nInput: 2679\nOutput: 90\n\nQuestion:\nWhat is the output of B(6368)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "The digits of 6368 are [6, 3, 6, 8].\nMin digit = 3\n(6 - 3)^2 = 9\n(3 - 3)^2 = 0\n(6 - 3)^2 = 9\n(8 - 3)^2 = 25\nB(6368) = 9 + 0 + 9 + 25 = 43\n\n\\boxed{43}"}
-{"instruction": "Based on the input–output examples below, infer the rule implemented by function B. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 37\n\nInput: 41\nOutput: 9\n\nInput: 45\nOutput: 1\n\nInput: 87397\nOutput: 93\n\nInput: 242\nOutput: 4\n\nInput: 1\nOutput: 0\n\nInput: 9935\nOutput: 76\n\nInput: 21395\nOutput: 85\n\nInput: 2\nOutput: 0\n\nInput: 2679\nOutput: 90\n\nQuestion:\nWhat is the output of B(62180)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "The digits of 62180 are [6, 2, 1, 8, 0].\nMin digit = 0\n(6 - 0)^2 = 36\n(2 - 0)^2 = 4\n(1 - 0)^2 = 1\n(8 - 0)^2 = 64\n(0 - 0)^2 = 0\nB(62180) = 36 + 4 + 1 + 64 + 0 = 105\n\n\\boxed{105}"}
-{"instruction": "Based on the input–output examples below, infer the rule implemented by function G. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 45\n\nInput: 41\nOutput: 11\n\nInput: 45\nOutput: 25\n\nInput: 87397\nOutput: 143\n\nInput: 242\nOutput: 16\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 111\n\nInput: 21395\nOutput: 70\n\nInput: 2\nOutput: 3\n\nInput: 2679\nOutput: 97\n\nQuestion:\nWhat is the output of G(58237)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "The digits of 58237 are [5, 8, 2, 3, 7].\nT(5) = 5*6/2 = 15\nT(8) = 8*9/2 = 36\nT(2) = 2*3/2 = 3\nT(3) = 3*4/2 = 6\nT(7) = 7*8/2 = 28\nG(58237) = 15 + 36 + 3 + 6 + 28 = 88\n\n\\boxed{88}"}
-{"instruction": "Based on the input–output examples below, infer the rule implemented by function F. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 14\n\nInput: 41\nOutput: 8\n\nInput: 45\nOutput: 9\n\nInput: 87397\nOutput: 42\n\nInput: 242\nOutput: 10\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 36\n\nInput: 21395\nOutput: 25\n\nInput: 2\nOutput: 2\n\nInput: 2679\nOutput: 24\n\nQuestion:\nWhat is the output of F(14170)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "The digits of 14170 are [1, 4, 1, 7, 0].\nRunning max: 1, 4, 4, 7, 7\nF(14170) = 1 + 4 + 4 + 7 + 7 = 23\n\n\\boxed{23}"}
-{"instruction": "Based on the input–output examples below, infer the rule implemented by function F. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 14\n\nInput: 41\nOutput: 8\n\nInput: 45\nOutput: 9\n\nInput: 87397\nOutput: 42\n\nInput: 242\nOutput: 10\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 36\n\nInput: 21395\nOutput: 25\n\nInput: 2\nOutput: 2\n\nInput: 2679\nOutput: 24\n\nQuestion:\nWhat is the output of F(91995)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "The digits of 91995 are [9, 1, 9, 9, 5].\nRunning max: 9, 9, 9, 9, 9\nF(91995) = 9 + 9 + 9 + 9 + 9 = 45\n\n\\boxed{45}"}
-{"instruction": "Based on the input–output examples below, infer the rule implemented by function F. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 14\n\nInput: 41\nOutput: 8\n\nInput: 45\nOutput: 9\n\nInput: 87397\nOutput: 42\n\nInput: 242\nOutput: 10\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 36\n\nInput: 21395\nOutput: 25\n\nInput: 2\nOutput: 2\n\nInput: 2679\nOutput: 24\n\nQuestion:\nWhat is the output of F(70088)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "The digits of 70088 are [7, 0, 0, 8, 8].\nRunning max: 7, 7, 7, 8, 8\nF(70088) = 7 + 7 + 7 + 8 + 8 = 37\n\n\\boxed{37}"}
-{"instruction": "Based on the input–output examples below, infer the rule implemented by function F. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 14\n\nInput: 41\nOutput: 8\n\nInput: 45\nOutput: 9\n\nInput: 87397\nOutput: 42\n\nInput: 242\nOutput: 10\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 36\n\nInput: 21395\nOutput: 25\n\nInput: 2\nOutput: 2\n\nInput: 2679\nOutput: 24\n\nQuestion:\nWhat is the output of F(93206)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "The digits of 93206 are [9, 3, 2, 0, 6].\nRunning max: 9, 9, 9, 9, 9\nF(93206) = 9 + 9 + 9 + 9 + 9 = 45\n\n\\boxed{45}"}
-{"instruction": "Based on the input–output examples below, infer the rule implemented by function A. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 104\n\nInput: 41\nOutput: 20\n\nInput: 45\nOutput: 45\n\nInput: 87397\nOutput: 306\n\nInput: 242\nOutput: 32\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 234\n\nInput: 21395\nOutput: 180\n\nInput: 2\nOutput: 4\n\nInput: 2679\nOutput: 216\n\nQuestion:\nWhat is the output of A(71733)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "The digits of 71733 are [7, 1, 7, 3, 3].\nSum of digits = 7 + 1 + 7 + 3 + 3 = 21\nMax digit = 7\nA(71733) = 21 * 7 = 147\n\n\\boxed{147}"}
-{"instruction": "Based on the input–output examples below, infer the rule implemented by function D. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 21\n\nInput: 41\nOutput: 5\n\nInput: 45\nOutput: 29\n\nInput: 87397\nOutput: 124\n\nInput: 242\nOutput: 12\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 52\n\nInput: 21395\nOutput: 48\n\nInput: 2\nOutput: 4\n\nInput: 2679\nOutput: 68\n\nQuestion:\nWhat is the output of D(33526)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "The digits of 33526 are [3, 3, 5, 2, 6].\n3 is prime: 3^2 = 9\n3 is prime: 3^2 = 9\n5 is prime: 5^2 = 25\n2 is prime: 2^2 = 4\n6 is not prime: 6\nD(33526) = 9 + 9 + 25 + 4 + 6 = 53\n\n\\boxed{53}"}
-{"instruction": "Based on the input–output examples below, infer the rule implemented by function D. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 21\n\nInput: 41\nOutput: 5\n\nInput: 45\nOutput: 29\n\nInput: 87397\nOutput: 124\n\nInput: 242\nOutput: 12\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 52\n\nInput: 21395\nOutput: 48\n\nInput: 2\nOutput: 4\n\nInput: 2679\nOutput: 68\n\nQuestion:\nWhat is the output of D(93206)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "The digits of 93206 are [9, 3, 2, 0, 6].\n9 is not prime: 9\n3 is prime: 3^2 = 9\n2 is prime: 2^2 = 4\n0 is not prime: 0\n6 is not prime: 6\nD(93206) = 9 + 9 + 4 + 0 + 6 = 28\n\n\\boxed{28}"}
-{"instruction": "Based on the input–output examples below, infer the rule implemented by function A. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 104\n\nInput: 41\nOutput: 20\n\nInput: 45\nOutput: 45\n\nInput: 87397\nOutput: 306\n\nInput: 242\nOutput: 32\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 234\n\nInput: 21395\nOutput: 180\n\nInput: 2\nOutput: 4\n\nInput: 2679\nOutput: 216\n\nQuestion:\nWhat is the output of A(6368)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "The digits of 6368 are [6, 3, 6, 8].\nSum of digits = 6 + 3 + 6 + 8 = 23\nMax digit = 8\nA(6368) = 23 * 8 = 184\n\n\\boxed{184}"}
-{"instruction": "Based on the input–output examples below, infer the rule implemented by function D. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 21\n\nInput: 41\nOutput: 5\n\nInput: 45\nOutput: 29\n\nInput: 87397\nOutput: 124\n\nInput: 242\nOutput: 12\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 52\n\nInput: 21395\nOutput: 48\n\nInput: 2\nOutput: 4\n\nInput: 2679\nOutput: 68\n\nQuestion:\nWhat is the output of D(70088)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "The digits of 70088 are [7, 0, 0, 8, 8].\n7 is prime: 7^2 = 49\n0 is not prime: 0\n0 is not prime: 0\n8 is not prime: 8\n8 is not prime: 8\nD(70088) = 49 + 0 + 0 + 8 + 8 = 65\n\n\\boxed{65}"}
-{"instruction": "Based on the input–output examples below, infer the rule implemented by function G. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 45\n\nInput: 41\nOutput: 11\n\nInput: 45\nOutput: 25\n\nInput: 87397\nOutput: 143\n\nInput: 242\nOutput: 16\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 111\n\nInput: 21395\nOutput: 70\n\nInput: 2\nOutput: 3\n\nInput: 2679\nOutput: 97\n\nQuestion:\nWhat is the output of G(85664)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "The digits of 85664 are [8, 5, 6, 6, 4].\nT(8) = 8*9/2 = 36\nT(5) = 5*6/2 = 15\nT(6) = 6*7/2 = 21\nT(6) = 6*7/2 = 21\nT(4) = 4*5/2 = 10\nG(85664) = 36 + 15 + 21 + 21 + 10 = 103\n\n\\boxed{103}"}
-{"instruction": "Based on the input–output examples below, infer the rule implemented by function E. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 52\n\nInput: 41\nOutput: 8\n\nInput: 45\nOutput: 40\n\nInput: 87397\nOutput: 247\n\nInput: 242\nOutput: 24\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 144\n\nInput: 21395\nOutput: 47\n\nInput: 2\nOutput: 4\n\nInput: 2679\nOutput: 120\n\nQuestion:\nWhat is the output of E(58237)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "The digits of 58237 are [5, 8, 2, 3, 7].\nReversed: [7, 3, 2, 8, 5]\n5*7 + 8*3 + 2*2 + 3*8 + 7*5 = 35 + 24 + 4 + 24 + 35 = 122\nE(58237) = 122\n\n\\boxed{122}"}
-{"instruction": "Based on the input–output examples below, infer the rule implemented by function D. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 21\n\nInput: 41\nOutput: 5\n\nInput: 45\nOutput: 29\n\nInput: 87397\nOutput: 124\n\nInput: 242\nOutput: 12\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 52\n\nInput: 21395\nOutput: 48\n\nInput: 2\nOutput: 4\n\nInput: 2679\nOutput: 68\n\nQuestion:\nWhat is the output of D(85664)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "The digits of 85664 are [8, 5, 6, 6, 4].\n8 is not prime: 8\n5 is prime: 5^2 = 25\n6 is not prime: 6\n6 is not prime: 6\n4 is not prime: 4\nD(85664) = 8 + 25 + 6 + 6 + 4 = 49\n\n\\boxed{49}"}
-{"instruction": "Based on the input–output examples below, infer the rule implemented by function C. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 69\n\nInput: 41\nOutput: 15\n\nInput: 45\nOutput: 9\n\nInput: 87397\nOutput: 8\n\nInput: 242\nOutput: 8\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 16\n\nInput: 21395\nOutput: 44\n\nInput: 2\nOutput: 4\n\nInput: 2679\nOutput: 64\n\nQuestion:\nWhat is the output of C(15176)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "The digits of 15176 are [1, 5, 1, 7, 6].\nAlternating sum of squares = 1^2 - 5^2 + 1^2 - 7^2 + 6^2 = 1 - 25 + 1 - 49 + 36 = -36\nC(15176) = |-36| = 36\n\n\\boxed{36}"}
-{"instruction": "Based on the input–output examples below, infer the rule implemented by function C. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 69\n\nInput: 41\nOutput: 15\n\nInput: 45\nOutput: 9\n\nInput: 87397\nOutput: 8\n\nInput: 242\nOutput: 8\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 16\n\nInput: 21395\nOutput: 44\n\nInput: 2\nOutput: 4\n\nInput: 2679\nOutput: 64\n\nQuestion:\nWhat is the output of C(4897)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "The digits of 4897 are [4, 8, 9, 7].\nAlternating sum of squares = 4^2 - 8^2 + 9^2 - 7^2 = 16 - 64 + 81 - 49 = -16\nC(4897) = |-16| = 16\n\n\\boxed{16}"}
-{"instruction": "Based on the input–output examples below, infer the rule implemented by function D. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 21\n\nInput: 41\nOutput: 5\n\nInput: 45\nOutput: 29\n\nInput: 87397\nOutput: 124\n\nInput: 242\nOutput: 12\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 52\n\nInput: 21395\nOutput: 48\n\nInput: 2\nOutput: 4\n\nInput: 2679\nOutput: 68\n\nQuestion:\nWhat is the output of D(2587)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "The digits of 2587 are [2, 5, 8, 7].\n2 is prime: 2^2 = 4\n5 is prime: 5^2 = 25\n8 is not prime: 8\n7 is prime: 7^2 = 49\nD(2587) = 4 + 25 + 8 + 49 = 86\n\n\\boxed{86}"}
-{"instruction": "Based on the input–output examples below, infer the rule implemented by function D. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 21\n\nInput: 41\nOutput: 5\n\nInput: 45\nOutput: 29\n\nInput: 87397\nOutput: 124\n\nInput: 242\nOutput: 12\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 52\n\nInput: 21395\nOutput: 48\n\nInput: 2\nOutput: 4\n\nInput: 2679\nOutput: 68\n\nQuestion:\nWhat is the output of D(58237)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "The digits of 58237 are [5, 8, 2, 3, 7].\n5 is prime: 5^2 = 25\n8 is not prime: 8\n2 is prime: 2^2 = 4\n3 is prime: 3^2 = 9\n7 is prime: 7^2 = 49\nD(58237) = 25 + 8 + 4 + 9 + 49 = 95\n\n\\boxed{95}"}
-{"instruction": "Based on the input–output examples below, infer the rule implemented by function B. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 37\n\nInput: 41\nOutput: 9\n\nInput: 45\nOutput: 1\n\nInput: 87397\nOutput: 93\n\nInput: 242\nOutput: 4\n\nInput: 1\nOutput: 0\n\nInput: 9935\nOutput: 76\n\nInput: 21395\nOutput: 85\n\nInput: 2\nOutput: 0\n\nInput: 2679\nOutput: 90\n\nQuestion:\nWhat is the output of B(6322)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "The digits of 6322 are [6, 3, 2, 2].\nMin digit = 2\n(6 - 2)^2 = 16\n(3 - 2)^2 = 1\n(2 - 2)^2 = 0\n(2 - 2)^2 = 0\nB(6322) = 16 + 1 + 0 + 0 = 17\n\n\\boxed{17}"}
-{"instruction": "Based on the input–output examples below, infer the rule implemented by function D. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 21\n\nInput: 41\nOutput: 5\n\nInput: 45\nOutput: 29\n\nInput: 87397\nOutput: 124\n\nInput: 242\nOutput: 12\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 52\n\nInput: 21395\nOutput: 48\n\nInput: 2\nOutput: 4\n\nInput: 2679\nOutput: 68\n\nQuestion:\nWhat is the output of D(15176)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "The digits of 15176 are [1, 5, 1, 7, 6].\n1 is not prime: 1\n5 is prime: 5^2 = 25\n1 is not prime: 1\n7 is prime: 7^2 = 49\n6 is not prime: 6\nD(15176) = 1 + 25 + 1 + 49 + 6 = 82\n\n\\boxed{82}"}
-{"instruction": "Based on the input–output examples below, infer the rule implemented by function E. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 52\n\nInput: 41\nOutput: 8\n\nInput: 45\nOutput: 40\n\nInput: 87397\nOutput: 247\n\nInput: 242\nOutput: 24\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 144\n\nInput: 21395\nOutput: 47\n\nInput: 2\nOutput: 4\n\nInput: 2679\nOutput: 120\n\nQuestion:\nWhat is the output of E(6322)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "The digits of 6322 are [6, 3, 2, 2].\nReversed: [2, 2, 3, 6]\n6*2 + 3*2 + 2*3 + 2*6 = 12 + 6 + 6 + 12 = 36\nE(6322) = 36\n\n\\boxed{36}"}
-{"instruction": "Based on the input–output examples below, infer the rule implemented by function H. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 283\n\nInput: 41\nOutput: 14\n\nInput: 45\nOutput: 45\n\nInput: 87397\nOutput: 39787\n\nInput: 242\nOutput: 224\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 3599\n\nInput: 21395\nOutput: 13952\n\nInput: 2\nOutput: 2\n\nInput: 2679\nOutput: 2679\n\nQuestion:\nWhat is the output of H(91995)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "The digit string of 91995 is \"91995\".\nRotations: 91995, 19959, 99591, 95919, 59199\nH(91995) = min(91995, 19959, 99591, 95919, 59199) = 19959\n\n\\boxed{19959}"}
-{"instruction": "Based on the input–output examples below, infer the rule implemented by function G. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 45\n\nInput: 41\nOutput: 11\n\nInput: 45\nOutput: 25\n\nInput: 87397\nOutput: 143\n\nInput: 242\nOutput: 16\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 111\n\nInput: 21395\nOutput: 70\n\nInput: 2\nOutput: 3\n\nInput: 2679\nOutput: 97\n\nQuestion:\nWhat is the output of G(70088)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "The digits of 70088 are [7, 0, 0, 8, 8].\nT(7) = 7*8/2 = 28\nT(0) = 0*1/2 = 0\nT(0) = 0*1/2 = 0\nT(8) = 8*9/2 = 36\nT(8) = 8*9/2 = 36\nG(70088) = 28 + 0 + 0 + 36 + 36 = 100\n\n\\boxed{100}"}
-{"instruction": "Based on the input–output examples below, infer the rule implemented by function B. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 37\n\nInput: 41\nOutput: 9\n\nInput: 45\nOutput: 1\n\nInput: 87397\nOutput: 93\n\nInput: 242\nOutput: 4\n\nInput: 1\nOutput: 0\n\nInput: 9935\nOutput: 76\n\nInput: 21395\nOutput: 85\n\nInput: 2\nOutput: 0\n\nInput: 2679\nOutput: 90\n\nQuestion:\nWhat is the output of B(16143)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "The digits of 16143 are [1, 6, 1, 4, 3].\nMin digit = 1\n(1 - 1)^2 = 0\n(6 - 1)^2 = 25\n(1 - 1)^2 = 0\n(4 - 1)^2 = 9\n(3 - 1)^2 = 4\nB(16143) = 0 + 25 + 0 + 9 + 4 = 38\n\n\\boxed{38}"}
-{"instruction": "Based on the input–output examples below, infer the rule implemented by function H. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 283\n\nInput: 41\nOutput: 14\n\nInput: 45\nOutput: 45\n\nInput: 87397\nOutput: 39787\n\nInput: 242\nOutput: 224\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 3599\n\nInput: 21395\nOutput: 13952\n\nInput: 2\nOutput: 2\n\nInput: 2679\nOutput: 2679\n\nQuestion:\nWhat is the output of H(83928)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "The digit string of 83928 is \"83928\".\nRotations: 83928, 39288, 92883, 28839, 88392\nH(83928) = min(83928, 39288, 92883, 28839, 88392) = 28839\n\n\\boxed{28839}"}
-{"instruction": "Based on the input–output examples below, infer the rule implemented by function F. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 14\n\nInput: 41\nOutput: 8\n\nInput: 45\nOutput: 9\n\nInput: 87397\nOutput: 42\n\nInput: 242\nOutput: 10\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 36\n\nInput: 21395\nOutput: 25\n\nInput: 2\nOutput: 2\n\nInput: 2679\nOutput: 24\n\nQuestion:\nWhat is the output of F(33126)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "The digits of 33126 are [3, 3, 1, 2, 6].\nRunning max: 3, 3, 3, 3, 6\nF(33126) = 3 + 3 + 3 + 3 + 6 = 18\n\n\\boxed{18}"}
-{"instruction": "Based on the input–output examples below, infer the rule implemented by function C. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 69\n\nInput: 41\nOutput: 15\n\nInput: 45\nOutput: 9\n\nInput: 87397\nOutput: 8\n\nInput: 242\nOutput: 8\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 16\n\nInput: 21395\nOutput: 44\n\nInput: 2\nOutput: 4\n\nInput: 2679\nOutput: 64\n\nQuestion:\nWhat is the output of C(91995)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "The digits of 91995 are [9, 1, 9, 9, 5].\nAlternating sum of squares = 9^2 - 1^2 + 9^2 - 9^2 + 5^2 = 81 - 1 + 81 - 81 + 25 = 105\nC(91995) = |105| = 105\n\n\\boxed{105}"}
-{"instruction": "Based on the input–output examples below, infer the rule implemented by function C. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 69\n\nInput: 41\nOutput: 15\n\nInput: 45\nOutput: 9\n\nInput: 87397\nOutput: 8\n\nInput: 242\nOutput: 8\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 16\n\nInput: 21395\nOutput: 44\n\nInput: 2\nOutput: 4\n\nInput: 2679\nOutput: 64\n\nQuestion:\nWhat is the output of C(81675)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "The digits of 81675 are [8, 1, 6, 7, 5].\nAlternating sum of squares = 8^2 - 1^2 + 6^2 - 7^2 + 5^2 = 64 - 1 + 36 - 49 + 25 = 75\nC(81675) = |75| = 75\n\n\\boxed{75}"}
-{"instruction": "Based on the input–output examples below, infer the rule implemented by function G. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 45\n\nInput: 41\nOutput: 11\n\nInput: 45\nOutput: 25\n\nInput: 87397\nOutput: 143\n\nInput: 242\nOutput: 16\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 111\n\nInput: 21395\nOutput: 70\n\nInput: 2\nOutput: 3\n\nInput: 2679\nOutput: 97\n\nQuestion:\nWhat is the output of G(93206)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "The digits of 93206 are [9, 3, 2, 0, 6].\nT(9) = 9*10/2 = 45\nT(3) = 3*4/2 = 6\nT(2) = 2*3/2 = 3\nT(0) = 0*1/2 = 0\nT(6) = 6*7/2 = 21\nG(93206) = 45 + 6 + 3 + 0 + 21 = 75\n\n\\boxed{75}"}
-{"instruction": "Based on the input–output examples below, infer the rule implemented by function A. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 104\n\nInput: 41\nOutput: 20\n\nInput: 45\nOutput: 45\n\nInput: 87397\nOutput: 306\n\nInput: 242\nOutput: 32\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 234\n\nInput: 21395\nOutput: 180\n\nInput: 2\nOutput: 4\n\nInput: 2679\nOutput: 216\n\nQuestion:\nWhat is the output of A(90406)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "The digits of 90406 are [9, 0, 4, 0, 6].\nSum of digits = 9 + 0 + 4 + 0 + 6 = 19\nMax digit = 9\nA(90406) = 19 * 9 = 171\n\n\\boxed{171}"}
-{"instruction": "Based on the input–output examples below, infer the rule implemented by function B. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 37\n\nInput: 41\nOutput: 9\n\nInput: 45\nOutput: 1\n\nInput: 87397\nOutput: 93\n\nInput: 242\nOutput: 4\n\nInput: 1\nOutput: 0\n\nInput: 9935\nOutput: 76\n\nInput: 21395\nOutput: 85\n\nInput: 2\nOutput: 0\n\nInput: 2679\nOutput: 90\n\nQuestion:\nWhat is the output of B(91995)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "The digits of 91995 are [9, 1, 9, 9, 5].\nMin digit = 1\n(9 - 1)^2 = 64\n(1 - 1)^2 = 0\n(9 - 1)^2 = 64\n(9 - 1)^2 = 64\n(5 - 1)^2 = 16\nB(91995) = 64 + 0 + 64 + 64 + 16 = 208\n\n\\boxed{208}"}
-{"instruction": "Based on the input–output examples below, infer the rule implemented by function D. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 21\n\nInput: 41\nOutput: 5\n\nInput: 45\nOutput: 29\n\nInput: 87397\nOutput: 124\n\nInput: 242\nOutput: 12\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 52\n\nInput: 21395\nOutput: 48\n\nInput: 2\nOutput: 4\n\nInput: 2679\nOutput: 68\n\nQuestion:\nWhat is the output of D(90406)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "The digits of 90406 are [9, 0, 4, 0, 6].\n9 is not prime: 9\n0 is not prime: 0\n4 is not prime: 4\n0 is not prime: 0\n6 is not prime: 6\nD(90406) = 9 + 0 + 4 + 0 + 6 = 19\n\n\\boxed{19}"}
-{"instruction": "Based on the input–output examples below, infer the rule implemented by function D. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 21\n\nInput: 41\nOutput: 5\n\nInput: 45\nOutput: 29\n\nInput: 87397\nOutput: 124\n\nInput: 242\nOutput: 12\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 52\n\nInput: 21395\nOutput: 48\n\nInput: 2\nOutput: 4\n\nInput: 2679\nOutput: 68\n\nQuestion:\nWhat is the output of D(16143)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "The digits of 16143 are [1, 6, 1, 4, 3].\n1 is not prime: 1\n6 is not prime: 6\n1 is not prime: 1\n4 is not prime: 4\n3 is prime: 3^2 = 9\nD(16143) = 1 + 6 + 1 + 4 + 9 = 21\n\n\\boxed{21}"}
-{"instruction": "Based on the input–output examples below, infer the rule implemented by function F. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 14\n\nInput: 41\nOutput: 8\n\nInput: 45\nOutput: 9\n\nInput: 87397\nOutput: 42\n\nInput: 242\nOutput: 10\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 36\n\nInput: 21395\nOutput: 25\n\nInput: 2\nOutput: 2\n\nInput: 2679\nOutput: 24\n\nQuestion:\nWhat is the output of F(6322)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "The digits of 6322 are [6, 3, 2, 2].\nRunning max: 6, 6, 6, 6\nF(6322) = 6 + 6 + 6 + 6 = 24\n\n\\boxed{24}"}
-{"instruction": "Based on the input–output examples below, infer the rule implemented by function A. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 104\n\nInput: 41\nOutput: 20\n\nInput: 45\nOutput: 45\n\nInput: 87397\nOutput: 306\n\nInput: 242\nOutput: 32\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 234\n\nInput: 21395\nOutput: 180\n\nInput: 2\nOutput: 4\n\nInput: 2679\nOutput: 216\n\nQuestion:\nWhat is the output of A(49840)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "The digits of 49840 are [4, 9, 8, 4, 0].\nSum of digits = 4 + 9 + 8 + 4 + 0 = 25\nMax digit = 9\nA(49840) = 25 * 9 = 225\n\n\\boxed{225}"}
-{"instruction": "Based on the input–output examples below, infer the rule implemented by function D. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 21\n\nInput: 41\nOutput: 5\n\nInput: 45\nOutput: 29\n\nInput: 87397\nOutput: 124\n\nInput: 242\nOutput: 12\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 52\n\nInput: 21395\nOutput: 48\n\nInput: 2\nOutput: 4\n\nInput: 2679\nOutput: 68\n\nQuestion:\nWhat is the output of D(71733)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "The digits of 71733 are [7, 1, 7, 3, 3].\n7 is prime: 7^2 = 49\n1 is not prime: 1\n7 is prime: 7^2 = 49\n3 is prime: 3^2 = 9\n3 is prime: 3^2 = 9\nD(71733) = 49 + 1 + 49 + 9 + 9 = 117\n\n\\boxed{117}"}
-{"instruction": "Based on the input–output examples below, infer the rule implemented by function B. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 37\n\nInput: 41\nOutput: 9\n\nInput: 45\nOutput: 1\n\nInput: 87397\nOutput: 93\n\nInput: 242\nOutput: 4\n\nInput: 1\nOutput: 0\n\nInput: 9935\nOutput: 76\n\nInput: 21395\nOutput: 85\n\nInput: 2\nOutput: 0\n\nInput: 2679\nOutput: 90\n\nQuestion:\nWhat is the output of B(33526)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "The digits of 33526 are [3, 3, 5, 2, 6].\nMin digit = 2\n(3 - 2)^2 = 1\n(3 - 2)^2 = 1\n(5 - 2)^2 = 9\n(2 - 2)^2 = 0\n(6 - 2)^2 = 16\nB(33526) = 1 + 1 + 9 + 0 + 16 = 27\n\n\\boxed{27}"}
-{"instruction": "Based on the input–output examples below, infer the rule implemented by function F. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 14\n\nInput: 41\nOutput: 8\n\nInput: 45\nOutput: 9\n\nInput: 87397\nOutput: 42\n\nInput: 242\nOutput: 10\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 36\n\nInput: 21395\nOutput: 25\n\nInput: 2\nOutput: 2\n\nInput: 2679\nOutput: 24\n\nQuestion:\nWhat is the output of F(86765)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "The digits of 86765 are [8, 6, 7, 6, 5].\nRunning max: 8, 8, 8, 8, 8\nF(86765) = 8 + 8 + 8 + 8 + 8 = 40\n\n\\boxed{40}"}
-{"instruction": "Based on the input–output examples below, infer the rule implemented by function E. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 52\n\nInput: 41\nOutput: 8\n\nInput: 45\nOutput: 40\n\nInput: 87397\nOutput: 247\n\nInput: 242\nOutput: 24\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 144\n\nInput: 21395\nOutput: 47\n\nInput: 2\nOutput: 4\n\nInput: 2679\nOutput: 120\n\nQuestion:\nWhat is the output of E(90406)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "The digits of 90406 are [9, 0, 4, 0, 6].\nReversed: [6, 0, 4, 0, 9]\n9*6 + 0*0 + 4*4 + 0*0 + 6*9 = 54 + 0 + 16 + 0 + 54 = 124\nE(90406) = 124\n\n\\boxed{124}"}
-{"instruction": "Based on the input–output examples below, infer the rule implemented by function A. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 104\n\nInput: 41\nOutput: 20\n\nInput: 45\nOutput: 45\n\nInput: 87397\nOutput: 306\n\nInput: 242\nOutput: 32\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 234\n\nInput: 21395\nOutput: 180\n\nInput: 2\nOutput: 4\n\nInput: 2679\nOutput: 216\n\nQuestion:\nWhat is the output of A(6286)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "The digits of 6286 are [6, 2, 8, 6].\nSum of digits = 6 + 2 + 8 + 6 = 22\nMax digit = 8\nA(6286) = 22 * 8 = 176\n\n\\boxed{176}"}
-{"instruction": "Based on the input–output examples below, infer the rule implemented by function C. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 69\n\nInput: 41\nOutput: 15\n\nInput: 45\nOutput: 9\n\nInput: 87397\nOutput: 8\n\nInput: 242\nOutput: 8\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 16\n\nInput: 21395\nOutput: 44\n\nInput: 2\nOutput: 4\n\nInput: 2679\nOutput: 64\n\nQuestion:\nWhat is the output of C(90406)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "The digits of 90406 are [9, 0, 4, 0, 6].\nAlternating sum of squares = 9^2 - 0^2 + 4^2 - 0^2 + 6^2 = 81 - 0 + 16 - 0 + 36 = 133\nC(90406) = |133| = 133\n\n\\boxed{133}"}
-{"instruction": "Based on the input–output examples below, infer the rule implemented by function D. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 21\n\nInput: 41\nOutput: 5\n\nInput: 45\nOutput: 29\n\nInput: 87397\nOutput: 124\n\nInput: 242\nOutput: 12\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 52\n\nInput: 21395\nOutput: 48\n\nInput: 2\nOutput: 4\n\nInput: 2679\nOutput: 68\n\nQuestion:\nWhat is the output of D(14170)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "The digits of 14170 are [1, 4, 1, 7, 0].\n1 is not prime: 1\n4 is not prime: 4\n1 is not prime: 1\n7 is prime: 7^2 = 49\n0 is not prime: 0\nD(14170) = 1 + 4 + 1 + 49 + 0 = 55\n\n\\boxed{55}"}
-{"instruction": "Based on the input–output examples below, infer the rule implemented by function D. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 21\n\nInput: 41\nOutput: 5\n\nInput: 45\nOutput: 29\n\nInput: 87397\nOutput: 124\n\nInput: 242\nOutput: 12\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 52\n\nInput: 21395\nOutput: 48\n\nInput: 2\nOutput: 4\n\nInput: 2679\nOutput: 68\n\nQuestion:\nWhat is the output of D(6322)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "The digits of 6322 are [6, 3, 2, 2].\n6 is not prime: 6\n3 is prime: 3^2 = 9\n2 is prime: 2^2 = 4\n2 is prime: 2^2 = 4\nD(6322) = 6 + 9 + 4 + 4 = 23\n\n\\boxed{23}"}
-{"instruction": "Based on the input–output examples below, infer the rule implemented by function A. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 104\n\nInput: 41\nOutput: 20\n\nInput: 45\nOutput: 45\n\nInput: 87397\nOutput: 306\n\nInput: 242\nOutput: 32\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 234\n\nInput: 21395\nOutput: 180\n\nInput: 2\nOutput: 4\n\nInput: 2679\nOutput: 216\n\nQuestion:\nWhat is the output of A(91995)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "The digits of 91995 are [9, 1, 9, 9, 5].\nSum of digits = 9 + 1 + 9 + 9 + 5 = 33\nMax digit = 9\nA(91995) = 33 * 9 = 297\n\n\\boxed{297}"}
-{"instruction": "Based on the input–output examples below, infer the rule implemented by function D. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 21\n\nInput: 41\nOutput: 5\n\nInput: 45\nOutput: 29\n\nInput: 87397\nOutput: 124\n\nInput: 242\nOutput: 12\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 52\n\nInput: 21395\nOutput: 48\n\nInput: 2\nOutput: 4\n\nInput: 2679\nOutput: 68\n\nQuestion:\nWhat is the output of D(33126)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "The digits of 33126 are [3, 3, 1, 2, 6].\n3 is prime: 3^2 = 9\n3 is prime: 3^2 = 9\n1 is not prime: 1\n2 is prime: 2^2 = 4\n6 is not prime: 6\nD(33126) = 9 + 9 + 1 + 4 + 6 = 29\n\n\\boxed{29}"}
-{"instruction": "Based on the input–output examples below, infer the rule implemented by function H. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 283\n\nInput: 41\nOutput: 14\n\nInput: 45\nOutput: 45\n\nInput: 87397\nOutput: 39787\n\nInput: 242\nOutput: 224\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 3599\n\nInput: 21395\nOutput: 13952\n\nInput: 2\nOutput: 2\n\nInput: 2679\nOutput: 2679\n\nQuestion:\nWhat is the output of H(70088)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "The digit string of 70088 is \"70088\".\nRotations: 70088, 887, 8870, 88700, 87008\nH(70088) = min(70088, 887, 8870, 88700, 87008) = 887\n\n\\boxed{887}"}
-{"instruction": "Based on the input–output examples below, infer the rule implemented by function H. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 283\n\nInput: 41\nOutput: 14\n\nInput: 45\nOutput: 45\n\nInput: 87397\nOutput: 39787\n\nInput: 242\nOutput: 224\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 3599\n\nInput: 21395\nOutput: 13952\n\nInput: 2\nOutput: 2\n\nInput: 2679\nOutput: 2679\n\nQuestion:\nWhat is the output of H(2587)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "The digit string of 2587 is \"2587\".\nRotations: 2587, 5872, 8725, 7258\nH(2587) = min(2587, 5872, 8725, 7258) = 2587\n\n\\boxed{2587}"}
-{"instruction": "Based on the input–output examples below, infer the rule implemented by function D. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 21\n\nInput: 41\nOutput: 5\n\nInput: 45\nOutput: 29\n\nInput: 87397\nOutput: 124\n\nInput: 242\nOutput: 12\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 52\n\nInput: 21395\nOutput: 48\n\nInput: 2\nOutput: 4\n\nInput: 2679\nOutput: 68\n\nQuestion:\nWhat is the output of D(6286)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "The digits of 6286 are [6, 2, 8, 6].\n6 is not prime: 6\n2 is prime: 2^2 = 4\n8 is not prime: 8\n6 is not prime: 6\nD(6286) = 6 + 4 + 8 + 6 = 24\n\n\\boxed{24}"}
-{"instruction": "Based on the input–output examples below, infer the rule implemented by function H. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 283\n\nInput: 41\nOutput: 14\n\nInput: 45\nOutput: 45\n\nInput: 87397\nOutput: 39787\n\nInput: 242\nOutput: 224\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 3599\n\nInput: 21395\nOutput: 13952\n\nInput: 2\nOutput: 2\n\nInput: 2679\nOutput: 2679\n\nQuestion:\nWhat is the output of H(33526)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "The digit string of 33526 is \"33526\".\nRotations: 33526, 35263, 52633, 26335, 63352\nH(33526) = min(33526, 35263, 52633, 26335, 63352) = 26335\n\n\\boxed{26335}"}
-{"instruction": "Based on the input–output examples below, infer the rule implemented by function B. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 37\n\nInput: 41\nOutput: 9\n\nInput: 45\nOutput: 1\n\nInput: 87397\nOutput: 93\n\nInput: 242\nOutput: 4\n\nInput: 1\nOutput: 0\n\nInput: 9935\nOutput: 76\n\nInput: 21395\nOutput: 85\n\nInput: 2\nOutput: 0\n\nInput: 2679\nOutput: 90\n\nQuestion:\nWhat is the output of B(85664)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "The digits of 85664 are [8, 5, 6, 6, 4].\nMin digit = 4\n(8 - 4)^2 = 16\n(5 - 4)^2 = 1\n(6 - 4)^2 = 4\n(6 - 4)^2 = 4\n(4 - 4)^2 = 0\nB(85664) = 16 + 1 + 4 + 4 + 0 = 25\n\n\\boxed{25}"}
-{"instruction": "Based on the input–output examples below, infer the rule implemented by function G. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 45\n\nInput: 41\nOutput: 11\n\nInput: 45\nOutput: 25\n\nInput: 87397\nOutput: 143\n\nInput: 242\nOutput: 16\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 111\n\nInput: 21395\nOutput: 70\n\nInput: 2\nOutput: 3\n\nInput: 2679\nOutput: 97\n\nQuestion:\nWhat is the output of G(15176)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "The digits of 15176 are [1, 5, 1, 7, 6].\nT(1) = 1*2/2 = 1\nT(5) = 5*6/2 = 15\nT(1) = 1*2/2 = 1\nT(7) = 7*8/2 = 28\nT(6) = 6*7/2 = 21\nG(15176) = 1 + 15 + 1 + 28 + 21 = 66\n\n\\boxed{66}"}
-{"instruction": "Based on the input–output examples below, infer the rule implemented by function D. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 21\n\nInput: 41\nOutput: 5\n\nInput: 45\nOutput: 29\n\nInput: 87397\nOutput: 124\n\nInput: 242\nOutput: 12\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 52\n\nInput: 21395\nOutput: 48\n\nInput: 2\nOutput: 4\n\nInput: 2679\nOutput: 68\n\nQuestion:\nWhat is the output of D(86765)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "The digits of 86765 are [8, 6, 7, 6, 5].\n8 is not prime: 8\n6 is not prime: 6\n7 is prime: 7^2 = 49\n6 is not prime: 6\n5 is prime: 5^2 = 25\nD(86765) = 8 + 6 + 49 + 6 + 25 = 94\n\n\\boxed{94}"}
-{"instruction": "Based on the input–output examples below, infer the rule implemented by function H. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 283\n\nInput: 41\nOutput: 14\n\nInput: 45\nOutput: 45\n\nInput: 87397\nOutput: 39787\n\nInput: 242\nOutput: 224\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 3599\n\nInput: 21395\nOutput: 13952\n\nInput: 2\nOutput: 2\n\nInput: 2679\nOutput: 2679\n\nQuestion:\nWhat is the output of H(77846)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "The digit string of 77846 is \"77846\".\nRotations: 77846, 78467, 84677, 46778, 67784\nH(77846) = min(77846, 78467, 84677, 46778, 67784) = 46778\n\n\\boxed{46778}"}
-{"instruction": "Based on the input–output examples below, infer the rule implemented by function B. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 37\n\nInput: 41\nOutput: 9\n\nInput: 45\nOutput: 1\n\nInput: 87397\nOutput: 93\n\nInput: 242\nOutput: 4\n\nInput: 1\nOutput: 0\n\nInput: 9935\nOutput: 76\n\nInput: 21395\nOutput: 85\n\nInput: 2\nOutput: 0\n\nInput: 2679\nOutput: 90\n\nQuestion:\nWhat is the output of B(2587)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "The digits of 2587 are [2, 5, 8, 7].\nMin digit = 2\n(2 - 2)^2 = 0\n(5 - 2)^2 = 9\n(8 - 2)^2 = 36\n(7 - 2)^2 = 25\nB(2587) = 0 + 9 + 36 + 25 = 70\n\n\\boxed{70}"}
-{"instruction": "Based on the input–output examples below, infer the rule implemented by function A. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 104\n\nInput: 41\nOutput: 20\n\nInput: 45\nOutput: 45\n\nInput: 87397\nOutput: 306\n\nInput: 242\nOutput: 32\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 234\n\nInput: 21395\nOutput: 180\n\nInput: 2\nOutput: 4\n\nInput: 2679\nOutput: 216\n\nQuestion:\nWhat is the output of A(48049)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "The digits of 48049 are [4, 8, 0, 4, 9].\nSum of digits = 4 + 8 + 0 + 4 + 9 = 25\nMax digit = 9\nA(48049) = 25 * 9 = 225\n\n\\boxed{225}"}
-{"instruction": "Based on the input–output examples below, infer the rule implemented by function C. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 69\n\nInput: 41\nOutput: 15\n\nInput: 45\nOutput: 9\n\nInput: 87397\nOutput: 8\n\nInput: 242\nOutput: 8\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 16\n\nInput: 21395\nOutput: 44\n\nInput: 2\nOutput: 4\n\nInput: 2679\nOutput: 64\n\nQuestion:\nWhat is the output of C(71733)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "The digits of 71733 are [7, 1, 7, 3, 3].\nAlternating sum of squares = 7^2 - 1^2 + 7^2 - 3^2 + 3^2 = 49 - 1 + 49 - 9 + 9 = 97\nC(71733) = |97| = 97\n\n\\boxed{97}"}
-{"instruction": "Based on the input–output examples below, infer the rule implemented by function G. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 45\n\nInput: 41\nOutput: 11\n\nInput: 45\nOutput: 25\n\nInput: 87397\nOutput: 143\n\nInput: 242\nOutput: 16\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 111\n\nInput: 21395\nOutput: 70\n\nInput: 2\nOutput: 3\n\nInput: 2679\nOutput: 97\n\nQuestion:\nWhat is the output of G(16143)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "The digits of 16143 are [1, 6, 1, 4, 3].\nT(1) = 1*2/2 = 1\nT(6) = 6*7/2 = 21\nT(1) = 1*2/2 = 1\nT(4) = 4*5/2 = 10\nT(3) = 3*4/2 = 6\nG(16143) = 1 + 21 + 1 + 10 + 6 = 39\n\n\\boxed{39}"}
-{"instruction": "Based on the input–output examples below, infer the rule implemented by function E. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 52\n\nInput: 41\nOutput: 8\n\nInput: 45\nOutput: 40\n\nInput: 87397\nOutput: 247\n\nInput: 242\nOutput: 24\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 144\n\nInput: 21395\nOutput: 47\n\nInput: 2\nOutput: 4\n\nInput: 2679\nOutput: 120\n\nQuestion:\nWhat is the output of E(85664)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "The digits of 85664 are [8, 5, 6, 6, 4].\nReversed: [4, 6, 6, 5, 8]\n8*4 + 5*6 + 6*6 + 6*5 + 4*8 = 32 + 30 + 36 + 30 + 32 = 160\nE(85664) = 160\n\n\\boxed{160}"}
-{"instruction": "Based on the input–output examples below, infer the rule implemented by function C. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 69\n\nInput: 41\nOutput: 15\n\nInput: 45\nOutput: 9\n\nInput: 87397\nOutput: 8\n\nInput: 242\nOutput: 8\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 16\n\nInput: 21395\nOutput: 44\n\nInput: 2\nOutput: 4\n\nInput: 2679\nOutput: 64\n\nQuestion:\nWhat is the output of C(33526)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "The digits of 33526 are [3, 3, 5, 2, 6].\nAlternating sum of squares = 3^2 - 3^2 + 5^2 - 2^2 + 6^2 = 9 - 9 + 25 - 4 + 36 = 57\nC(33526) = |57| = 57\n\n\\boxed{57}"}
-{"instruction": "Based on the input–output examples below, infer the rule implemented by function E. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 52\n\nInput: 41\nOutput: 8\n\nInput: 45\nOutput: 40\n\nInput: 87397\nOutput: 247\n\nInput: 242\nOutput: 24\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 144\n\nInput: 21395\nOutput: 47\n\nInput: 2\nOutput: 4\n\nInput: 2679\nOutput: 120\n\nQuestion:\nWhat is the output of E(70088)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "The digits of 70088 are [7, 0, 0, 8, 8].\nReversed: [8, 8, 0, 0, 7]\n7*8 + 0*8 + 0*0 + 8*0 + 8*7 = 56 + 0 + 0 + 0 + 56 = 112\nE(70088) = 112\n\n\\boxed{112}"}
-{"instruction": "Based on the input–output examples below, infer the rule implemented by function H. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 283\n\nInput: 41\nOutput: 14\n\nInput: 45\nOutput: 45\n\nInput: 87397\nOutput: 39787\n\nInput: 242\nOutput: 224\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 3599\n\nInput: 21395\nOutput: 13952\n\nInput: 2\nOutput: 2\n\nInput: 2679\nOutput: 2679\n\nQuestion:\nWhat is the output of H(6322)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "The digit string of 6322 is \"6322\".\nRotations: 6322, 3226, 2263, 2632\nH(6322) = min(6322, 3226, 2263, 2632) = 2263\n\n\\boxed{2263}"}
-{"instruction": "Based on the input–output examples below, infer the rule implemented by function G. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 45\n\nInput: 41\nOutput: 11\n\nInput: 45\nOutput: 25\n\nInput: 87397\nOutput: 143\n\nInput: 242\nOutput: 16\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 111\n\nInput: 21395\nOutput: 70\n\nInput: 2\nOutput: 3\n\nInput: 2679\nOutput: 97\n\nQuestion:\nWhat is the output of G(6322)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "The digits of 6322 are [6, 3, 2, 2].\nT(6) = 6*7/2 = 21\nT(3) = 3*4/2 = 6\nT(2) = 2*3/2 = 3\nT(2) = 2*3/2 = 3\nG(6322) = 21 + 6 + 3 + 3 = 33\n\n\\boxed{33}"}
-{"instruction": "Based on the input–output examples below, infer the rule implemented by function C. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 69\n\nInput: 41\nOutput: 15\n\nInput: 45\nOutput: 9\n\nInput: 87397\nOutput: 8\n\nInput: 242\nOutput: 8\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 16\n\nInput: 21395\nOutput: 44\n\nInput: 2\nOutput: 4\n\nInput: 2679\nOutput: 64\n\nQuestion:\nWhat is the output of C(16143)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "The digits of 16143 are [1, 6, 1, 4, 3].\nAlternating sum of squares = 1^2 - 6^2 + 1^2 - 4^2 + 3^2 = 1 - 36 + 1 - 16 + 9 = -41\nC(16143) = |-41| = 41\n\n\\boxed{41}"}
-{"instruction": "Based on the input–output examples below, infer the rule implemented by function F. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 14\n\nInput: 41\nOutput: 8\n\nInput: 45\nOutput: 9\n\nInput: 87397\nOutput: 42\n\nInput: 242\nOutput: 10\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 36\n\nInput: 21395\nOutput: 25\n\nInput: 2\nOutput: 2\n\nInput: 2679\nOutput: 24\n\nQuestion:\nWhat is the output of F(15176)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "The digits of 15176 are [1, 5, 1, 7, 6].\nRunning max: 1, 5, 5, 7, 7\nF(15176) = 1 + 5 + 5 + 7 + 7 = 25\n\n\\boxed{25}"}
-{"instruction": "Based on the input–output examples below, infer the rule implemented by function H. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 283\n\nInput: 41\nOutput: 14\n\nInput: 45\nOutput: 45\n\nInput: 87397\nOutput: 39787\n\nInput: 242\nOutput: 224\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 3599\n\nInput: 21395\nOutput: 13952\n\nInput: 2\nOutput: 2\n\nInput: 2679\nOutput: 2679\n\nQuestion:\nWhat is the output of H(33126)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "The digit string of 33126 is \"33126\".\nRotations: 33126, 31263, 12633, 26331, 63312\nH(33126) = min(33126, 31263, 12633, 26331, 63312) = 12633\n\n\\boxed{12633}"}
-{"instruction": "Based on the input–output examples below, infer the rule implemented by function G. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 45\n\nInput: 41\nOutput: 11\n\nInput: 45\nOutput: 25\n\nInput: 87397\nOutput: 143\n\nInput: 242\nOutput: 16\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 111\n\nInput: 21395\nOutput: 70\n\nInput: 2\nOutput: 3\n\nInput: 2679\nOutput: 97\n\nQuestion:\nWhat is the output of G(49177)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "The digits of 49177 are [4, 9, 1, 7, 7].\nT(4) = 4*5/2 = 10\nT(9) = 9*10/2 = 45\nT(1) = 1*2/2 = 1\nT(7) = 7*8/2 = 28\nT(7) = 7*8/2 = 28\nG(49177) = 10 + 45 + 1 + 28 + 28 = 112\n\n\\boxed{112}"}
-{"instruction": "Based on the input–output examples below, infer the rule implemented by function F. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 14\n\nInput: 41\nOutput: 8\n\nInput: 45\nOutput: 9\n\nInput: 87397\nOutput: 42\n\nInput: 242\nOutput: 10\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 36\n\nInput: 21395\nOutput: 25\n\nInput: 2\nOutput: 2\n\nInput: 2679\nOutput: 24\n\nQuestion:\nWhat is the output of F(49177)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "The digits of 49177 are [4, 9, 1, 7, 7].\nRunning max: 4, 9, 9, 9, 9\nF(49177) = 4 + 9 + 9 + 9 + 9 = 40\n\n\\boxed{40}"}
-{"instruction": "Based on the input–output examples below, infer the rule implemented by function C. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 69\n\nInput: 41\nOutput: 15\n\nInput: 45\nOutput: 9\n\nInput: 87397\nOutput: 8\n\nInput: 242\nOutput: 8\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 16\n\nInput: 21395\nOutput: 44\n\nInput: 2\nOutput: 4\n\nInput: 2679\nOutput: 64\n\nQuestion:\nWhat is the output of C(6368)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "The digits of 6368 are [6, 3, 6, 8].\nAlternating sum of squares = 6^2 - 3^2 + 6^2 - 8^2 = 36 - 9 + 36 - 64 = -1\nC(6368) = |-1| = 1\n\n\\boxed{1}"}
-{"instruction": "Based on the input–output examples below, infer the rule implemented by function C. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 69\n\nInput: 41\nOutput: 15\n\nInput: 45\nOutput: 9\n\nInput: 87397\nOutput: 8\n\nInput: 242\nOutput: 8\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 16\n\nInput: 21395\nOutput: 44\n\nInput: 2\nOutput: 4\n\nInput: 2679\nOutput: 64\n\nQuestion:\nWhat is the output of C(83928)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "The digits of 83928 are [8, 3, 9, 2, 8].\nAlternating sum of squares = 8^2 - 3^2 + 9^2 - 2^2 + 8^2 = 64 - 9 + 81 - 4 + 64 = 196\nC(83928) = |196| = 196\n\n\\boxed{196}"}
-{"instruction": "Based on the input–output examples below, infer the rule implemented by function A. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 104\n\nInput: 41\nOutput: 20\n\nInput: 45\nOutput: 45\n\nInput: 87397\nOutput: 306\n\nInput: 242\nOutput: 32\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 234\n\nInput: 21395\nOutput: 180\n\nInput: 2\nOutput: 4\n\nInput: 2679\nOutput: 216\n\nQuestion:\nWhat is the output of A(62180)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "The digits of 62180 are [6, 2, 1, 8, 0].\nSum of digits = 6 + 2 + 1 + 8 + 0 = 17\nMax digit = 8\nA(62180) = 17 * 8 = 136\n\n\\boxed{136}"}
-{"instruction": "Based on the input–output examples below, infer the rule implemented by function A. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 104\n\nInput: 41\nOutput: 20\n\nInput: 45\nOutput: 45\n\nInput: 87397\nOutput: 306\n\nInput: 242\nOutput: 32\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 234\n\nInput: 21395\nOutput: 180\n\nInput: 2\nOutput: 4\n\nInput: 2679\nOutput: 216\n\nQuestion:\nWhat is the output of A(70088)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "The digits of 70088 are [7, 0, 0, 8, 8].\nSum of digits = 7 + 0 + 0 + 8 + 8 = 23\nMax digit = 8\nA(70088) = 23 * 8 = 184\n\n\\boxed{184}"}
-{"instruction": "Based on the input–output examples below, infer the rule implemented by function A. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 104\n\nInput: 41\nOutput: 20\n\nInput: 45\nOutput: 45\n\nInput: 87397\nOutput: 306\n\nInput: 242\nOutput: 32\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 234\n\nInput: 21395\nOutput: 180\n\nInput: 2\nOutput: 4\n\nInput: 2679\nOutput: 216\n\nQuestion:\nWhat is the output of A(81675)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "The digits of 81675 are [8, 1, 6, 7, 5].\nSum of digits = 8 + 1 + 6 + 7 + 5 = 27\nMax digit = 8\nA(81675) = 27 * 8 = 216\n\n\\boxed{216}"}
-{"instruction": "Based on the input–output examples below, infer the rule implemented by function E. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 52\n\nInput: 41\nOutput: 8\n\nInput: 45\nOutput: 40\n\nInput: 87397\nOutput: 247\n\nInput: 242\nOutput: 24\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 144\n\nInput: 21395\nOutput: 47\n\nInput: 2\nOutput: 4\n\nInput: 2679\nOutput: 120\n\nQuestion:\nWhat is the output of E(81675)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "The digits of 81675 are [8, 1, 6, 7, 5].\nReversed: [5, 7, 6, 1, 8]\n8*5 + 1*7 + 6*6 + 7*1 + 5*8 = 40 + 7 + 36 + 7 + 40 = 130\nE(81675) = 130\n\n\\boxed{130}"}
-{"instruction": "Based on the input–output examples below, infer the rule implemented by function G. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 45\n\nInput: 41\nOutput: 11\n\nInput: 45\nOutput: 25\n\nInput: 87397\nOutput: 143\n\nInput: 242\nOutput: 16\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 111\n\nInput: 21395\nOutput: 70\n\nInput: 2\nOutput: 3\n\nInput: 2679\nOutput: 97\n\nQuestion:\nWhat is the output of G(48049)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "The digits of 48049 are [4, 8, 0, 4, 9].\nT(4) = 4*5/2 = 10\nT(8) = 8*9/2 = 36\nT(0) = 0*1/2 = 0\nT(4) = 4*5/2 = 10\nT(9) = 9*10/2 = 45\nG(48049) = 10 + 36 + 0 + 10 + 45 = 101\n\n\\boxed{101}"}
-{"instruction": "Based on the input–output examples below, infer the rule implemented by function A. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 104\n\nInput: 41\nOutput: 20\n\nInput: 45\nOutput: 45\n\nInput: 87397\nOutput: 306\n\nInput: 242\nOutput: 32\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 234\n\nInput: 21395\nOutput: 180\n\nInput: 2\nOutput: 4\n\nInput: 2679\nOutput: 216\n\nQuestion:\nWhat is the output of A(33126)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "The digits of 33126 are [3, 3, 1, 2, 6].\nSum of digits = 3 + 3 + 1 + 2 + 6 = 15\nMax digit = 6\nA(33126) = 15 * 6 = 90\n\n\\boxed{90}"}
-{"instruction": "Based on the input–output examples below, infer the rule implemented by function F. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 14\n\nInput: 41\nOutput: 8\n\nInput: 45\nOutput: 9\n\nInput: 87397\nOutput: 42\n\nInput: 242\nOutput: 10\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 36\n\nInput: 21395\nOutput: 25\n\nInput: 2\nOutput: 2\n\nInput: 2679\nOutput: 24\n\nQuestion:\nWhat is the output of F(85664)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "The digits of 85664 are [8, 5, 6, 6, 4].\nRunning max: 8, 8, 8, 8, 8\nF(85664) = 8 + 8 + 8 + 8 + 8 = 40\n\n\\boxed{40}"}
-{"instruction": "Based on the input–output examples below, infer the rule implemented by function G. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 45\n\nInput: 41\nOutput: 11\n\nInput: 45\nOutput: 25\n\nInput: 87397\nOutput: 143\n\nInput: 242\nOutput: 16\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 111\n\nInput: 21395\nOutput: 70\n\nInput: 2\nOutput: 3\n\nInput: 2679\nOutput: 97\n\nQuestion:\nWhat is the output of G(62180)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "The digits of 62180 are [6, 2, 1, 8, 0].\nT(6) = 6*7/2 = 21\nT(2) = 2*3/2 = 3\nT(1) = 1*2/2 = 1\nT(8) = 8*9/2 = 36\nT(0) = 0*1/2 = 0\nG(62180) = 21 + 3 + 1 + 36 + 0 = 61\n\n\\boxed{61}"}
-{"instruction": "Based on the input–output examples below, infer the rule implemented by function B. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 37\n\nInput: 41\nOutput: 9\n\nInput: 45\nOutput: 1\n\nInput: 87397\nOutput: 93\n\nInput: 242\nOutput: 4\n\nInput: 1\nOutput: 0\n\nInput: 9935\nOutput: 76\n\nInput: 21395\nOutput: 85\n\nInput: 2\nOutput: 0\n\nInput: 2679\nOutput: 90\n\nQuestion:\nWhat is the output of B(48049)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "The digits of 48049 are [4, 8, 0, 4, 9].\nMin digit = 0\n(4 - 0)^2 = 16\n(8 - 0)^2 = 64\n(0 - 0)^2 = 0\n(4 - 0)^2 = 16\n(9 - 0)^2 = 81\nB(48049) = 16 + 64 + 0 + 16 + 81 = 177\n\n\\boxed{177}"}
-{"instruction": "Based on the input–output examples below, infer the rule implemented by function H. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 283\n\nInput: 41\nOutput: 14\n\nInput: 45\nOutput: 45\n\nInput: 87397\nOutput: 39787\n\nInput: 242\nOutput: 224\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 3599\n\nInput: 21395\nOutput: 13952\n\nInput: 2\nOutput: 2\n\nInput: 2679\nOutput: 2679\n\nQuestion:\nWhat is the output of H(14170)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "The digit string of 14170 is \"14170\".\nRotations: 14170, 41701, 17014, 70141, 1417\nH(14170) = min(14170, 41701, 17014, 70141, 1417) = 1417\n\n\\boxed{1417}"}
-{"instruction": "Based on the input–output examples below, infer the rule implemented by function B. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 37\n\nInput: 41\nOutput: 9\n\nInput: 45\nOutput: 1\n\nInput: 87397\nOutput: 93\n\nInput: 242\nOutput: 4\n\nInput: 1\nOutput: 0\n\nInput: 9935\nOutput: 76\n\nInput: 21395\nOutput: 85\n\nInput: 2\nOutput: 0\n\nInput: 2679\nOutput: 90\n\nQuestion:\nWhat is the output of B(77846)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "The digits of 77846 are [7, 7, 8, 4, 6].\nMin digit = 4\n(7 - 4)^2 = 9\n(7 - 4)^2 = 9\n(8 - 4)^2 = 16\n(4 - 4)^2 = 0\n(6 - 4)^2 = 4\nB(77846) = 9 + 9 + 16 + 0 + 4 = 38\n\n\\boxed{38}"}
-{"instruction": "Based on the input–output examples below, infer the rule implemented by function C. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 69\n\nInput: 41\nOutput: 15\n\nInput: 45\nOutput: 9\n\nInput: 87397\nOutput: 8\n\nInput: 242\nOutput: 8\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 16\n\nInput: 21395\nOutput: 44\n\nInput: 2\nOutput: 4\n\nInput: 2679\nOutput: 64\n\nQuestion:\nWhat is the output of C(70088)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "The digits of 70088 are [7, 0, 0, 8, 8].\nAlternating sum of squares = 7^2 - 0^2 + 0^2 - 8^2 + 8^2 = 49 - 0 + 0 - 64 + 64 = 49\nC(70088) = |49| = 49\n\n\\boxed{49}"}
-{"instruction": "Based on the input–output examples below, infer the rule implemented by function C. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 69\n\nInput: 41\nOutput: 15\n\nInput: 45\nOutput: 9\n\nInput: 87397\nOutput: 8\n\nInput: 242\nOutput: 8\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 16\n\nInput: 21395\nOutput: 44\n\nInput: 2\nOutput: 4\n\nInput: 2679\nOutput: 64\n\nQuestion:\nWhat is the output of C(86765)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "The digits of 86765 are [8, 6, 7, 6, 5].\nAlternating sum of squares = 8^2 - 6^2 + 7^2 - 6^2 + 5^2 = 64 - 36 + 49 - 36 + 25 = 66\nC(86765) = |66| = 66\n\n\\boxed{66}"}
-{"instruction": "Based on the input–output examples below, infer the rule implemented by function C. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 69\n\nInput: 41\nOutput: 15\n\nInput: 45\nOutput: 9\n\nInput: 87397\nOutput: 8\n\nInput: 242\nOutput: 8\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 16\n\nInput: 21395\nOutput: 44\n\nInput: 2\nOutput: 4\n\nInput: 2679\nOutput: 64\n\nQuestion:\nWhat is the output of C(49840)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "The digits of 49840 are [4, 9, 8, 4, 0].\nAlternating sum of squares = 4^2 - 9^2 + 8^2 - 4^2 + 0^2 = 16 - 81 + 64 - 16 + 0 = -17\nC(49840) = |-17| = 17\n\n\\boxed{17}"}
-{"instruction": "Based on the input–output examples below, infer the rule implemented by function H. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 283\n\nInput: 41\nOutput: 14\n\nInput: 45\nOutput: 45\n\nInput: 87397\nOutput: 39787\n\nInput: 242\nOutput: 224\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 3599\n\nInput: 21395\nOutput: 13952\n\nInput: 2\nOutput: 2\n\nInput: 2679\nOutput: 2679\n\nQuestion:\nWhat is the output of H(85664)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "The digit string of 85664 is \"85664\".\nRotations: 85664, 56648, 66485, 64856, 48566\nH(85664) = min(85664, 56648, 66485, 64856, 48566) = 48566\n\n\\boxed{48566}"}
-{"instruction": "Based on the input–output examples below, infer the rule implemented by function A. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 104\n\nInput: 41\nOutput: 20\n\nInput: 45\nOutput: 45\n\nInput: 87397\nOutput: 306\n\nInput: 242\nOutput: 32\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 234\n\nInput: 21395\nOutput: 180\n\nInput: 2\nOutput: 4\n\nInput: 2679\nOutput: 216\n\nQuestion:\nWhat is the output of A(33526)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "The digits of 33526 are [3, 3, 5, 2, 6].\nSum of digits = 3 + 3 + 5 + 2 + 6 = 19\nMax digit = 6\nA(33526) = 19 * 6 = 114\n\n\\boxed{114}"}
-{"instruction": "Based on the input–output examples below, infer the rule implemented by function B. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 37\n\nInput: 41\nOutput: 9\n\nInput: 45\nOutput: 1\n\nInput: 87397\nOutput: 93\n\nInput: 242\nOutput: 4\n\nInput: 1\nOutput: 0\n\nInput: 9935\nOutput: 76\n\nInput: 21395\nOutput: 85\n\nInput: 2\nOutput: 0\n\nInput: 2679\nOutput: 90\n\nQuestion:\nWhat is the output of B(4897)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "The digits of 4897 are [4, 8, 9, 7].\nMin digit = 4\n(4 - 4)^2 = 0\n(8 - 4)^2 = 16\n(9 - 4)^2 = 25\n(7 - 4)^2 = 9\nB(4897) = 0 + 16 + 25 + 9 = 50\n\n\\boxed{50}"}
-{"instruction": "Based on the input–output examples below, infer the rule implemented by function G. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 45\n\nInput: 41\nOutput: 11\n\nInput: 45\nOutput: 25\n\nInput: 87397\nOutput: 143\n\nInput: 242\nOutput: 16\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 111\n\nInput: 21395\nOutput: 70\n\nInput: 2\nOutput: 3\n\nInput: 2679\nOutput: 97\n\nQuestion:\nWhat is the output of G(14170)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "The digits of 14170 are [1, 4, 1, 7, 0].\nT(1) = 1*2/2 = 1\nT(4) = 4*5/2 = 10\nT(1) = 1*2/2 = 1\nT(7) = 7*8/2 = 28\nT(0) = 0*1/2 = 0\nG(14170) = 1 + 10 + 1 + 28 + 0 = 40\n\n\\boxed{40}"}