diff --git "a/data/math_operations/primitive_atomic_balanced_sft_50k/balanced_test_alpaca.jsonl" "b/data/math_operations/primitive_atomic_balanced_sft_50k/balanced_test_alpaca.jsonl"
deleted file mode 100644--- "a/data/math_operations/primitive_atomic_balanced_sft_50k/balanced_test_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(15559)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "The digits of 15559 are [1, 5, 5, 5, 9].\nAlternating sum of squares = 1^2 - 5^2 + 5^2 - 5^2 + 9^2 = 1 - 25 + 25 - 25 + 81 = 57\nC(15559) = |57| = 57\n\n\\boxed{57}"}
-{"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(11536)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "The digit string of 11536 is \"11536\".\nRotations: 11536, 15361, 53611, 36115, 61153\nH(11536) = min(11536, 15361, 53611, 36115, 61153) = 11536\n\n\\boxed{11536}"}
-{"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(66444)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "The digits of 66444 are [6, 6, 4, 4, 4].\nReversed: [4, 4, 4, 6, 6]\n6*4 + 6*4 + 4*4 + 4*6 + 4*6 = 24 + 24 + 16 + 24 + 24 = 112\nE(66444) = 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(85638)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "The digit string of 85638 is \"85638\".\nRotations: 85638, 56388, 63885, 38856, 88563\nH(85638) = min(85638, 56388, 63885, 38856, 88563) = 38856\n\n\\boxed{38856}"}
-{"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(58733)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "The digits of 58733 are [5, 8, 7, 3, 3].\nReversed: [3, 3, 7, 8, 5]\n5*3 + 8*3 + 7*7 + 3*8 + 3*5 = 15 + 24 + 49 + 24 + 15 = 127\nE(58733) = 127\n\n\\boxed{127}"}
-{"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(52879)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "The digits of 52879 are [5, 2, 8, 7, 9].\nReversed: [9, 7, 8, 2, 5]\n5*9 + 2*7 + 8*8 + 7*2 + 9*5 = 45 + 14 + 64 + 14 + 45 = 182\nE(52879) = 182\n\n\\boxed{182}"}
-{"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(65333)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "The digits of 65333 are [6, 5, 3, 3, 3].\nSum of digits = 6 + 5 + 3 + 3 + 3 = 20\nMax digit = 6\nA(65333) = 20 * 6 = 120\n\n\\boxed{120}"}
-{"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(29190)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "The digits of 29190 are [2, 9, 1, 9, 0].\nSum of digits = 2 + 9 + 1 + 9 + 0 = 21\nMax digit = 9\nA(29190) = 21 * 9 = 189\n\n\\boxed{189}"}
-{"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(58598)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "The digits of 58598 are [5, 8, 5, 9, 8].\nAlternating sum of squares = 5^2 - 8^2 + 5^2 - 9^2 + 8^2 = 25 - 64 + 25 - 81 + 64 = -31\nC(58598) = |-31| = 31\n\n\\boxed{31}"}
-{"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(2329)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "The digits of 2329 are [2, 3, 2, 9].\nMin digit = 2\n(2 - 2)^2 = 0\n(3 - 2)^2 = 1\n(2 - 2)^2 = 0\n(9 - 2)^2 = 49\nB(2329) = 0 + 1 + 0 + 49 = 50\n\n\\boxed{50}"}
-{"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(58733)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "The digits of 58733 are [5, 8, 7, 3, 3].\nRunning max: 5, 8, 8, 8, 8\nF(58733) = 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(13453)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "The digits of 13453 are [1, 3, 4, 5, 3].\nT(1) = 1*2/2 = 1\nT(3) = 3*4/2 = 6\nT(4) = 4*5/2 = 10\nT(5) = 5*6/2 = 15\nT(3) = 3*4/2 = 6\nG(13453) = 1 + 6 + 10 + 15 + 6 = 38\n\n\\boxed{38}"}
-{"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(72154)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "The digits of 72154 are [7, 2, 1, 5, 4].\nRunning max: 7, 7, 7, 7, 7\nF(72154) = 7 + 7 + 7 + 7 + 7 = 35\n\n\\boxed{35}"}
-{"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(66444)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "The digits of 66444 are [6, 6, 4, 4, 4].\n6 is not prime: 6\n6 is not prime: 6\n4 is not prime: 4\n4 is not prime: 4\n4 is not prime: 4\nD(66444) = 6 + 6 + 4 + 4 + 4 = 24\n\n\\boxed{24}"}
-{"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(60174)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "The digits of 60174 are [6, 0, 1, 7, 4].\nT(6) = 6*7/2 = 21\nT(0) = 0*1/2 = 0\nT(1) = 1*2/2 = 1\nT(7) = 7*8/2 = 28\nT(4) = 4*5/2 = 10\nG(60174) = 21 + 0 + 1 + 28 + 10 = 60\n\n\\boxed{60}"}
-{"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(97679)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "The digits of 97679 are [9, 7, 6, 7, 9].\nT(9) = 9*10/2 = 45\nT(7) = 7*8/2 = 28\nT(6) = 6*7/2 = 21\nT(7) = 7*8/2 = 28\nT(9) = 9*10/2 = 45\nG(97679) = 45 + 28 + 21 + 28 + 45 = 167\n\n\\boxed{167}"}
-{"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(13453)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "The digits of 13453 are [1, 3, 4, 5, 3].\nMin digit = 1\n(1 - 1)^2 = 0\n(3 - 1)^2 = 4\n(4 - 1)^2 = 9\n(5 - 1)^2 = 16\n(3 - 1)^2 = 4\nB(13453) = 0 + 4 + 9 + 16 + 4 = 33\n\n\\boxed{33}"}
-{"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(52858)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "The digits of 52858 are [5, 2, 8, 5, 8].\nRunning max: 5, 5, 8, 8, 8\nF(52858) = 5 + 5 + 8 + 8 + 8 = 34\n\n\\boxed{34}"}
-{"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(52858)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "The digits of 52858 are [5, 2, 8, 5, 8].\nMin digit = 2\n(5 - 2)^2 = 9\n(2 - 2)^2 = 0\n(8 - 2)^2 = 36\n(5 - 2)^2 = 9\n(8 - 2)^2 = 36\nB(52858) = 9 + 0 + 36 + 9 + 36 = 90\n\n\\boxed{90}"}
-{"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(72154)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "The digits of 72154 are [7, 2, 1, 5, 4].\nSum of digits = 7 + 2 + 1 + 5 + 4 = 19\nMax digit = 7\nA(72154) = 19 * 7 = 133\n\n\\boxed{133}"}
-{"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(58220)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "The digits of 58220 are [5, 8, 2, 2, 0].\nT(5) = 5*6/2 = 15\nT(8) = 8*9/2 = 36\nT(2) = 2*3/2 = 3\nT(2) = 2*3/2 = 3\nT(0) = 0*1/2 = 0\nG(58220) = 15 + 36 + 3 + 3 + 0 = 57\n\n\\boxed{57}"}
-{"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(41426)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "The digits of 41426 are [4, 1, 4, 2, 6].\nSum of digits = 4 + 1 + 4 + 2 + 6 = 17\nMax digit = 6\nA(41426) = 17 * 6 = 102\n\n\\boxed{102}"}
-{"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(97679)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "The digits of 97679 are [9, 7, 6, 7, 9].\nMin digit = 6\n(9 - 6)^2 = 9\n(7 - 6)^2 = 1\n(6 - 6)^2 = 0\n(7 - 6)^2 = 1\n(9 - 6)^2 = 9\nB(97679) = 9 + 1 + 0 + 1 + 9 = 20\n\n\\boxed{20}"}
-{"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(66444)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "The digits of 66444 are [6, 6, 4, 4, 4].\nRunning max: 6, 6, 6, 6, 6\nF(66444) = 6 + 6 + 6 + 6 + 6 = 30\n\n\\boxed{30}"}
-{"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(58733)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "The digit string of 58733 is \"58733\".\nRotations: 58733, 87335, 73358, 33587, 35873\nH(58733) = min(58733, 87335, 73358, 33587, 35873) = 33587\n\n\\boxed{33587}"}
-{"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(11536)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "The digits of 11536 are [1, 1, 5, 3, 6].\nT(1) = 1*2/2 = 1\nT(1) = 1*2/2 = 1\nT(5) = 5*6/2 = 15\nT(3) = 3*4/2 = 6\nT(6) = 6*7/2 = 21\nG(11536) = 1 + 1 + 15 + 6 + 21 = 44\n\n\\boxed{44}"}
-{"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(54046)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "The digits of 54046 are [5, 4, 0, 4, 6].\nMin digit = 0\n(5 - 0)^2 = 25\n(4 - 0)^2 = 16\n(0 - 0)^2 = 0\n(4 - 0)^2 = 16\n(6 - 0)^2 = 36\nB(54046) = 25 + 16 + 0 + 16 + 36 = 93\n\n\\boxed{93}"}
-{"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(75108)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "The digits of 75108 are [7, 5, 1, 0, 8].\nReversed: [8, 0, 1, 5, 7]\n7*8 + 5*0 + 1*1 + 0*5 + 8*7 = 56 + 0 + 1 + 0 + 56 = 113\nE(75108) = 113\n\n\\boxed{113}"}
-{"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(52858)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "The digits of 52858 are [5, 2, 8, 5, 8].\nSum of digits = 5 + 2 + 8 + 5 + 8 = 28\nMax digit = 8\nA(52858) = 28 * 8 = 224\n\n\\boxed{224}"}
-{"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(2329)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "The digit string of 2329 is \"2329\".\nRotations: 2329, 3292, 2923, 9232\nH(2329) = min(2329, 3292, 2923, 9232) = 2329\n\n\\boxed{2329}"}
-{"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(11536)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "The digits of 11536 are [1, 1, 5, 3, 6].\nMin digit = 1\n(1 - 1)^2 = 0\n(1 - 1)^2 = 0\n(5 - 1)^2 = 16\n(3 - 1)^2 = 4\n(6 - 1)^2 = 25\nB(11536) = 0 + 0 + 16 + 4 + 25 = 45\n\n\\boxed{45}"}
-{"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(54046)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "The digits of 54046 are [5, 4, 0, 4, 6].\nReversed: [6, 4, 0, 4, 5]\n5*6 + 4*4 + 0*0 + 4*4 + 6*5 = 30 + 16 + 0 + 16 + 30 = 92\nE(54046) = 92\n\n\\boxed{92}"}
-{"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(11536)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "The digits of 11536 are [1, 1, 5, 3, 6].\nSum of digits = 1 + 1 + 5 + 3 + 6 = 16\nMax digit = 6\nA(11536) = 16 * 6 = 96\n\n\\boxed{96}"}
-{"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(58733)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "The digits of 58733 are [5, 8, 7, 3, 3].\nMin digit = 3\n(5 - 3)^2 = 4\n(8 - 3)^2 = 25\n(7 - 3)^2 = 16\n(3 - 3)^2 = 0\n(3 - 3)^2 = 0\nB(58733) = 4 + 25 + 16 + 0 + 0 = 45\n\n\\boxed{45}"}
-{"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(72154)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "The digits of 72154 are [7, 2, 1, 5, 4].\nT(7) = 7*8/2 = 28\nT(2) = 2*3/2 = 3\nT(1) = 1*2/2 = 1\nT(5) = 5*6/2 = 15\nT(4) = 4*5/2 = 10\nG(72154) = 28 + 3 + 1 + 15 + 10 = 57\n\n\\boxed{57}"}
-{"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(2329)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "The digits of 2329 are [2, 3, 2, 9].\nAlternating sum of squares = 2^2 - 3^2 + 2^2 - 9^2 = 4 - 9 + 4 - 81 = -82\nC(2329) = |-82| = 82\n\n\\boxed{82}"}
-{"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(58733)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "The digits of 58733 are [5, 8, 7, 3, 3].\nAlternating sum of squares = 5^2 - 8^2 + 7^2 - 3^2 + 3^2 = 25 - 64 + 49 - 9 + 9 = 10\nC(58733) = |10| = 10\n\n\\boxed{10}"}
-{"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(13453)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "The digit string of 13453 is \"13453\".\nRotations: 13453, 34531, 45313, 53134, 31345\nH(13453) = min(13453, 34531, 45313, 53134, 31345) = 13453\n\n\\boxed{13453}"}
-{"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(10332)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "The digits of 10332 are [1, 0, 3, 3, 2].\nMin digit = 0\n(1 - 0)^2 = 1\n(0 - 0)^2 = 0\n(3 - 0)^2 = 9\n(3 - 0)^2 = 9\n(2 - 0)^2 = 4\nB(10332) = 1 + 0 + 9 + 9 + 4 = 23\n\n\\boxed{23}"}
-{"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(54046)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "The digits of 54046 are [5, 4, 0, 4, 6].\nT(5) = 5*6/2 = 15\nT(4) = 4*5/2 = 10\nT(0) = 0*1/2 = 0\nT(4) = 4*5/2 = 10\nT(6) = 6*7/2 = 21\nG(54046) = 15 + 10 + 0 + 10 + 21 = 56\n\n\\boxed{56}"}
-{"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(52879)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "The digits of 52879 are [5, 2, 8, 7, 9].\nT(5) = 5*6/2 = 15\nT(2) = 2*3/2 = 3\nT(8) = 8*9/2 = 36\nT(7) = 7*8/2 = 28\nT(9) = 9*10/2 = 45\nG(52879) = 15 + 3 + 36 + 28 + 45 = 127\n\n\\boxed{127}"}
-{"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(75108)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "The digits of 75108 are [7, 5, 1, 0, 8].\nAlternating sum of squares = 7^2 - 5^2 + 1^2 - 0^2 + 8^2 = 49 - 25 + 1 - 0 + 64 = 89\nC(75108) = |89| = 89\n\n\\boxed{89}"}
-{"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(75108)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "The digits of 75108 are [7, 5, 1, 0, 8].\nSum of digits = 7 + 5 + 1 + 0 + 8 = 21\nMax digit = 8\nA(75108) = 21 * 8 = 168\n\n\\boxed{168}"}
-{"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(2329)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "The digits of 2329 are [2, 3, 2, 9].\nRunning max: 2, 3, 3, 9\nF(2329) = 2 + 3 + 3 + 9 = 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(75108)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "The digits of 75108 are [7, 5, 1, 0, 8].\nT(7) = 7*8/2 = 28\nT(5) = 5*6/2 = 15\nT(1) = 1*2/2 = 1\nT(0) = 0*1/2 = 0\nT(8) = 8*9/2 = 36\nG(75108) = 28 + 15 + 1 + 0 + 36 = 80\n\n\\boxed{80}"}
-{"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(29190)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "The digits of 29190 are [2, 9, 1, 9, 0].\nAlternating sum of squares = 2^2 - 9^2 + 1^2 - 9^2 + 0^2 = 4 - 81 + 1 - 81 + 0 = -157\nC(29190) = |-157| = 157\n\n\\boxed{157}"}
-{"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(6599)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "The digits of 6599 are [6, 5, 9, 9].\nRunning max: 6, 6, 9, 9\nF(6599) = 6 + 6 + 9 + 9 = 30\n\n\\boxed{30}"}
-{"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(30801)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "The digits of 30801 are [3, 0, 8, 0, 1].\nReversed: [1, 0, 8, 0, 3]\n3*1 + 0*0 + 8*8 + 0*0 + 1*3 = 3 + 0 + 64 + 0 + 3 = 70\nE(30801) = 70\n\n\\boxed{70}"}
-{"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(4696)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "The digits of 4696 are [4, 6, 9, 6].\nAlternating sum of squares = 4^2 - 6^2 + 9^2 - 6^2 = 16 - 36 + 81 - 36 = 25\nC(4696) = |25| = 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(65333)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "The digits of 65333 are [6, 5, 3, 3, 3].\nReversed: [3, 3, 3, 5, 6]\n6*3 + 5*3 + 3*3 + 3*5 + 3*6 = 18 + 15 + 9 + 15 + 18 = 75\nE(65333) = 75\n\n\\boxed{75}"}
-{"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(52858)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "The digits of 52858 are [5, 2, 8, 5, 8].\nReversed: [8, 5, 8, 2, 5]\n5*8 + 2*5 + 8*8 + 5*2 + 8*5 = 40 + 10 + 64 + 10 + 40 = 164\nE(52858) = 164\n\n\\boxed{164}"}
-{"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(13453)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "The digits of 13453 are [1, 3, 4, 5, 3].\n1 is not prime: 1\n3 is prime: 3^2 = 9\n4 is not prime: 4\n5 is prime: 5^2 = 25\n3 is prime: 3^2 = 9\nD(13453) = 1 + 9 + 4 + 25 + 9 = 48\n\n\\boxed{48}"}
-{"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(72154)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "The digits of 72154 are [7, 2, 1, 5, 4].\nReversed: [4, 5, 1, 2, 7]\n7*4 + 2*5 + 1*1 + 5*2 + 4*7 = 28 + 10 + 1 + 10 + 28 = 77\nE(72154) = 77\n\n\\boxed{77}"}
-{"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(13453)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "The digits of 13453 are [1, 3, 4, 5, 3].\nRunning max: 1, 3, 4, 5, 5\nF(13453) = 1 + 3 + 4 + 5 + 5 = 18\n\n\\boxed{18}"}
-{"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(85638)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "The digits of 85638 are [8, 5, 6, 3, 8].\nMin digit = 3\n(8 - 3)^2 = 25\n(5 - 3)^2 = 4\n(6 - 3)^2 = 9\n(3 - 3)^2 = 0\n(8 - 3)^2 = 25\nB(85638) = 25 + 4 + 9 + 0 + 25 = 63\n\n\\boxed{63}"}
-{"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(6599)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "The digits of 6599 are [6, 5, 9, 9].\nSum of digits = 6 + 5 + 9 + 9 = 29\nMax digit = 9\nA(6599) = 29 * 9 = 261\n\n\\boxed{261}"}
-{"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(58733)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "The digits of 58733 are [5, 8, 7, 3, 3].\nT(5) = 5*6/2 = 15\nT(8) = 8*9/2 = 36\nT(7) = 7*8/2 = 28\nT(3) = 3*4/2 = 6\nT(3) = 3*4/2 = 6\nG(58733) = 15 + 36 + 28 + 6 + 6 = 91\n\n\\boxed{91}"}
-{"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(97679)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "The digit string of 97679 is \"97679\".\nRotations: 97679, 76799, 67997, 79976, 99767\nH(97679) = min(97679, 76799, 67997, 79976, 99767) = 67997\n\n\\boxed{67997}"}
-{"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(15559)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "The digits of 15559 are [1, 5, 5, 5, 9].\nSum of digits = 1 + 5 + 5 + 5 + 9 = 25\nMax digit = 9\nA(15559) = 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(52858)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "The digits of 52858 are [5, 2, 8, 5, 8].\n5 is prime: 5^2 = 25\n2 is prime: 2^2 = 4\n8 is not prime: 8\n5 is prime: 5^2 = 25\n8 is not prime: 8\nD(52858) = 25 + 4 + 8 + 25 + 8 = 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(29190)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "The digits of 29190 are [2, 9, 1, 9, 0].\nReversed: [0, 9, 1, 9, 2]\n2*0 + 9*9 + 1*1 + 9*9 + 0*2 = 0 + 81 + 1 + 81 + 0 = 163\nE(29190) = 163\n\n\\boxed{163}"}
-{"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(65333)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "The digits of 65333 are [6, 5, 3, 3, 3].\nMin digit = 3\n(6 - 3)^2 = 9\n(5 - 3)^2 = 4\n(3 - 3)^2 = 0\n(3 - 3)^2 = 0\n(3 - 3)^2 = 0\nB(65333) = 9 + 4 + 0 + 0 + 0 = 13\n\n\\boxed{13}"}
-{"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(30801)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "The digits of 30801 are [3, 0, 8, 0, 1].\nT(3) = 3*4/2 = 6\nT(0) = 0*1/2 = 0\nT(8) = 8*9/2 = 36\nT(0) = 0*1/2 = 0\nT(1) = 1*2/2 = 1\nG(30801) = 6 + 0 + 36 + 0 + 1 = 43\n\n\\boxed{43}"}
-{"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(66444)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "The digit string of 66444 is \"66444\".\nRotations: 66444, 64446, 44466, 44664, 46644\nH(66444) = min(66444, 64446, 44466, 44664, 46644) = 44466\n\n\\boxed{44466}"}
-{"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(75108)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "The digits of 75108 are [7, 5, 1, 0, 8].\nRunning max: 7, 7, 7, 7, 8\nF(75108) = 7 + 7 + 7 + 7 + 8 = 36\n\n\\boxed{36}"}
-{"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(72154)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "The digits of 72154 are [7, 2, 1, 5, 4].\n7 is prime: 7^2 = 49\n2 is prime: 2^2 = 4\n1 is not prime: 1\n5 is prime: 5^2 = 25\n4 is not prime: 4\nD(72154) = 49 + 4 + 1 + 25 + 4 = 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(41426)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "The digits of 41426 are [4, 1, 4, 2, 6].\nReversed: [6, 2, 4, 1, 4]\n4*6 + 1*2 + 4*4 + 2*1 + 6*4 = 24 + 2 + 16 + 2 + 24 = 68\nE(41426) = 68\n\n\\boxed{68}"}
-{"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(2329)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "The digits of 2329 are [2, 3, 2, 9].\nSum of digits = 2 + 3 + 2 + 9 = 16\nMax digit = 9\nA(2329) = 16 * 9 = 144\n\n\\boxed{144}"}
-{"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(58598)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "The digits of 58598 are [5, 8, 5, 9, 8].\nSum of digits = 5 + 8 + 5 + 9 + 8 = 35\nMax digit = 9\nA(58598) = 35 * 9 = 315\n\n\\boxed{315}"}
-{"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(29190)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "The digit string of 29190 is \"29190\".\nRotations: 29190, 91902, 19029, 90291, 2919\nH(29190) = min(29190, 91902, 19029, 90291, 2919) = 2919\n\n\\boxed{2919}"}
-{"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(52879)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "The digits of 52879 are [5, 2, 8, 7, 9].\nRunning max: 5, 5, 8, 8, 9\nF(52879) = 5 + 5 + 8 + 8 + 9 = 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(49628)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "The digit string of 49628 is \"49628\".\nRotations: 49628, 96284, 62849, 28496, 84962\nH(49628) = min(49628, 96284, 62849, 28496, 84962) = 28496\n\n\\boxed{28496}"}
-{"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(41426)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "The digits of 41426 are [4, 1, 4, 2, 6].\nAlternating sum of squares = 4^2 - 1^2 + 4^2 - 2^2 + 6^2 = 16 - 1 + 16 - 4 + 36 = 63\nC(41426) = |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(58220)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "The digits of 58220 are [5, 8, 2, 2, 0].\n5 is prime: 5^2 = 25\n8 is not prime: 8\n2 is prime: 2^2 = 4\n2 is prime: 2^2 = 4\n0 is not prime: 0\nD(58220) = 25 + 8 + 4 + 4 + 0 = 41\n\n\\boxed{41}"}
-{"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(41426)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "The digits of 41426 are [4, 1, 4, 2, 6].\nT(4) = 4*5/2 = 10\nT(1) = 1*2/2 = 1\nT(4) = 4*5/2 = 10\nT(2) = 2*3/2 = 3\nT(6) = 6*7/2 = 21\nG(41426) = 10 + 1 + 10 + 3 + 21 = 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(52879)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "The digits of 52879 are [5, 2, 8, 7, 9].\nMin digit = 2\n(5 - 2)^2 = 9\n(2 - 2)^2 = 0\n(8 - 2)^2 = 36\n(7 - 2)^2 = 25\n(9 - 2)^2 = 49\nB(52879) = 9 + 0 + 36 + 25 + 49 = 119\n\n\\boxed{119}"}
-{"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(49628)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "The digits of 49628 are [4, 9, 6, 2, 8].\nReversed: [8, 2, 6, 9, 4]\n4*8 + 9*2 + 6*6 + 2*9 + 8*4 = 32 + 18 + 36 + 18 + 32 = 136\nE(49628) = 136\n\n\\boxed{136}"}
-{"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(49628)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "The digits of 49628 are [4, 9, 6, 2, 8].\n4 is not prime: 4\n9 is not prime: 9\n6 is not prime: 6\n2 is prime: 2^2 = 4\n8 is not prime: 8\nD(49628) = 4 + 9 + 6 + 4 + 8 = 31\n\n\\boxed{31}"}
-{"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(49628)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "The digits of 49628 are [4, 9, 6, 2, 8].\nAlternating sum of squares = 4^2 - 9^2 + 6^2 - 2^2 + 8^2 = 16 - 81 + 36 - 4 + 64 = 31\nC(49628) = |31| = 31\n\n\\boxed{31}"}
-{"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(52879)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "The digit string of 52879 is \"52879\".\nRotations: 52879, 28795, 87952, 79528, 95287\nH(52879) = min(52879, 28795, 87952, 79528, 95287) = 28795\n\n\\boxed{28795}"}
-{"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(75108)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "The digits of 75108 are [7, 5, 1, 0, 8].\n7 is prime: 7^2 = 49\n5 is prime: 5^2 = 25\n1 is not prime: 1\n0 is not prime: 0\n8 is not prime: 8\nD(75108) = 49 + 25 + 1 + 0 + 8 = 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(85638)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "The digits of 85638 are [8, 5, 6, 3, 8].\nReversed: [8, 3, 6, 5, 8]\n8*8 + 5*3 + 6*6 + 3*5 + 8*8 = 64 + 15 + 36 + 15 + 64 = 194\nE(85638) = 194\n\n\\boxed{194}"}
-{"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(58220)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "The digits of 58220 are [5, 8, 2, 2, 0].\nReversed: [0, 2, 2, 8, 5]\n5*0 + 8*2 + 2*2 + 2*8 + 0*5 = 0 + 16 + 4 + 16 + 0 = 36\nE(58220) = 36\n\n\\boxed{36}"}
-{"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(60174)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "The digits of 60174 are [6, 0, 1, 7, 4].\nRunning max: 6, 6, 6, 7, 7\nF(60174) = 6 + 6 + 6 + 7 + 7 = 32\n\n\\boxed{32}"}
-{"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(97679)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "The digits of 97679 are [9, 7, 6, 7, 9].\nRunning max: 9, 9, 9, 9, 9\nF(97679) = 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(60174)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "The digits of 60174 are [6, 0, 1, 7, 4].\nMin digit = 0\n(6 - 0)^2 = 36\n(0 - 0)^2 = 0\n(1 - 0)^2 = 1\n(7 - 0)^2 = 49\n(4 - 0)^2 = 16\nB(60174) = 36 + 0 + 1 + 49 + 16 = 102\n\n\\boxed{102}"}
-{"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(85638)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "The digits of 85638 are [8, 5, 6, 3, 8].\nSum of digits = 8 + 5 + 6 + 3 + 8 = 30\nMax digit = 8\nA(85638) = 30 * 8 = 240\n\n\\boxed{240}"}
-{"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(41426)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "The digits of 41426 are [4, 1, 4, 2, 6].\nRunning max: 4, 4, 4, 4, 6\nF(41426) = 4 + 4 + 4 + 4 + 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(4696)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "The digits of 4696 are [4, 6, 9, 6].\nReversed: [6, 9, 6, 4]\n4*6 + 6*9 + 9*6 + 6*4 = 24 + 54 + 54 + 24 = 156\nE(4696) = 156\n\n\\boxed{156}"}
-{"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(6599)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "The digit string of 6599 is \"6599\".\nRotations: 6599, 5996, 9965, 9659\nH(6599) = min(6599, 5996, 9965, 9659) = 5996\n\n\\boxed{5996}"}
-{"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(65333)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "The digits of 65333 are [6, 5, 3, 3, 3].\nAlternating sum of squares = 6^2 - 5^2 + 3^2 - 3^2 + 3^2 = 36 - 25 + 9 - 9 + 9 = 20\nC(65333) = |20| = 20\n\n\\boxed{20}"}
-{"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(60174)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "The digits of 60174 are [6, 0, 1, 7, 4].\n6 is not prime: 6\n0 is not prime: 0\n1 is not prime: 1\n7 is prime: 7^2 = 49\n4 is not prime: 4\nD(60174) = 6 + 0 + 1 + 49 + 4 = 60\n\n\\boxed{60}"}
-{"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(4696)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "The digits of 4696 are [4, 6, 9, 6].\nRunning max: 4, 6, 9, 9\nF(4696) = 4 + 6 + 9 + 9 = 28\n\n\\boxed{28}"}
-{"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(6599)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "The digits of 6599 are [6, 5, 9, 9].\nReversed: [9, 9, 5, 6]\n6*9 + 5*9 + 9*5 + 9*6 = 54 + 45 + 45 + 54 = 198\nE(6599) = 198\n\n\\boxed{198}"}
-{"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(52858)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "The digits of 52858 are [5, 2, 8, 5, 8].\nT(5) = 5*6/2 = 15\nT(2) = 2*3/2 = 3\nT(8) = 8*9/2 = 36\nT(5) = 5*6/2 = 15\nT(8) = 8*9/2 = 36\nG(52858) = 15 + 3 + 36 + 15 + 36 = 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(54046)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "The digits of 54046 are [5, 4, 0, 4, 6].\nAlternating sum of squares = 5^2 - 4^2 + 0^2 - 4^2 + 6^2 = 25 - 16 + 0 - 16 + 36 = 29\nC(54046) = |29| = 29\n\n\\boxed{29}"}
-{"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(29190)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "The digits of 29190 are [2, 9, 1, 9, 0].\nMin digit = 0\n(2 - 0)^2 = 4\n(9 - 0)^2 = 81\n(1 - 0)^2 = 1\n(9 - 0)^2 = 81\n(0 - 0)^2 = 0\nB(29190) = 4 + 81 + 1 + 81 + 0 = 167\n\n\\boxed{167}"}
-{"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(58220)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "The digit string of 58220 is \"58220\".\nRotations: 58220, 82205, 22058, 20582, 5822\nH(58220) = min(58220, 82205, 22058, 20582, 5822) = 5822\n\n\\boxed{5822}"}
-{"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(11536)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "The digits of 11536 are [1, 1, 5, 3, 6].\nReversed: [6, 3, 5, 1, 1]\n1*6 + 1*3 + 5*5 + 3*1 + 6*1 = 6 + 3 + 25 + 3 + 6 = 43\nE(11536) = 43\n\n\\boxed{43}"}
-{"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(66444)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "The digits of 66444 are [6, 6, 4, 4, 4].\nAlternating sum of squares = 6^2 - 6^2 + 4^2 - 4^2 + 4^2 = 36 - 36 + 16 - 16 + 16 = 16\nC(66444) = |16| = 16\n\n\\boxed{16}"}
-{"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(73024)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "The digits of 73024 are [7, 3, 0, 2, 4].\nT(7) = 7*8/2 = 28\nT(3) = 3*4/2 = 6\nT(0) = 0*1/2 = 0\nT(2) = 2*3/2 = 3\nT(4) = 4*5/2 = 10\nG(73024) = 28 + 6 + 0 + 3 + 10 = 47\n\n\\boxed{47}"}
-{"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(49628)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "The digits of 49628 are [4, 9, 6, 2, 8].\nSum of digits = 4 + 9 + 6 + 2 + 8 = 29\nMax digit = 9\nA(49628) = 29 * 9 = 261\n\n\\boxed{261}"}
-{"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(49628)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "The digits of 49628 are [4, 9, 6, 2, 8].\nMin digit = 2\n(4 - 2)^2 = 4\n(9 - 2)^2 = 49\n(6 - 2)^2 = 16\n(2 - 2)^2 = 0\n(8 - 2)^2 = 36\nB(49628) = 4 + 49 + 16 + 0 + 36 = 105\n\n\\boxed{105}"}
-{"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(60174)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "The digit string of 60174 is \"60174\".\nRotations: 60174, 1746, 17460, 74601, 46017\nH(60174) = min(60174, 1746, 17460, 74601, 46017) = 1746\n\n\\boxed{1746}"}
-{"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(73024)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "The digits of 73024 are [7, 3, 0, 2, 4].\n7 is prime: 7^2 = 49\n3 is prime: 3^2 = 9\n0 is not prime: 0\n2 is prime: 2^2 = 4\n4 is not prime: 4\nD(73024) = 49 + 9 + 0 + 4 + 4 = 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(4696)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "The digits of 4696 are [4, 6, 9, 6].\n4 is not prime: 4\n6 is not prime: 6\n9 is not prime: 9\n6 is not prime: 6\nD(4696) = 4 + 6 + 9 + 6 = 25\n\n\\boxed{25}"}
-{"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(30801)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "The digits of 30801 are [3, 0, 8, 0, 1].\nRunning max: 3, 3, 8, 8, 8\nF(30801) = 3 + 3 + 8 + 8 + 8 = 30\n\n\\boxed{30}"}
-{"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(73024)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "The digits of 73024 are [7, 3, 0, 2, 4].\nReversed: [4, 2, 0, 3, 7]\n7*4 + 3*2 + 0*0 + 2*3 + 4*7 = 28 + 6 + 0 + 6 + 28 = 68\nE(73024) = 68\n\n\\boxed{68}"}
-{"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(4696)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "The digit string of 4696 is \"4696\".\nRotations: 4696, 6964, 9646, 6469\nH(4696) = min(4696, 6964, 9646, 6469) = 4696\n\n\\boxed{4696}"}
-{"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(58220)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "The digits of 58220 are [5, 8, 2, 2, 0].\nRunning max: 5, 8, 8, 8, 8\nF(58220) = 5 + 8 + 8 + 8 + 8 = 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(72154)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "The digit string of 72154 is \"72154\".\nRotations: 72154, 21547, 15472, 54721, 47215\nH(72154) = min(72154, 21547, 15472, 54721, 47215) = 15472\n\n\\boxed{15472}"}
-{"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(13453)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "The digits of 13453 are [1, 3, 4, 5, 3].\nReversed: [3, 5, 4, 3, 1]\n1*3 + 3*5 + 4*4 + 5*3 + 3*1 = 3 + 15 + 16 + 15 + 3 = 52\nE(13453) = 52\n\n\\boxed{52}"}
-{"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(58220)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "The digits of 58220 are [5, 8, 2, 2, 0].\nMin digit = 0\n(5 - 0)^2 = 25\n(8 - 0)^2 = 64\n(2 - 0)^2 = 4\n(2 - 0)^2 = 4\n(0 - 0)^2 = 0\nB(58220) = 25 + 64 + 4 + 4 + 0 = 97\n\n\\boxed{97}"}
-{"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(4696)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "The digits of 4696 are [4, 6, 9, 6].\nMin digit = 4\n(4 - 4)^2 = 0\n(6 - 4)^2 = 4\n(9 - 4)^2 = 25\n(6 - 4)^2 = 4\nB(4696) = 0 + 4 + 25 + 4 = 33\n\n\\boxed{33}"}
-{"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(2329)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "The digits of 2329 are [2, 3, 2, 9].\nT(2) = 2*3/2 = 3\nT(3) = 3*4/2 = 6\nT(2) = 2*3/2 = 3\nT(9) = 9*10/2 = 45\nG(2329) = 3 + 6 + 3 + 45 = 57\n\n\\boxed{57}"}
-{"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(65333)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "The digits of 65333 are [6, 5, 3, 3, 3].\nRunning max: 6, 6, 6, 6, 6\nF(65333) = 6 + 6 + 6 + 6 + 6 = 30\n\n\\boxed{30}"}
-{"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(73024)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "The digits of 73024 are [7, 3, 0, 2, 4].\nRunning max: 7, 7, 7, 7, 7\nF(73024) = 7 + 7 + 7 + 7 + 7 = 35\n\n\\boxed{35}"}
-{"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(10332)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "The digits of 10332 are [1, 0, 3, 3, 2].\nRunning max: 1, 1, 3, 3, 3\nF(10332) = 1 + 1 + 3 + 3 + 3 = 11\n\n\\boxed{11}"}
-{"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(29190)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "The digits of 29190 are [2, 9, 1, 9, 0].\nRunning max: 2, 9, 9, 9, 9\nF(29190) = 2 + 9 + 9 + 9 + 9 = 38\n\n\\boxed{38}"}
-{"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(52879)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "The digits of 52879 are [5, 2, 8, 7, 9].\nSum of digits = 5 + 2 + 8 + 7 + 9 = 31\nMax digit = 9\nA(52879) = 31 * 9 = 279\n\n\\boxed{279}"}
-{"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(30801)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "The digits of 30801 are [3, 0, 8, 0, 1].\n3 is prime: 3^2 = 9\n0 is not prime: 0\n8 is not prime: 8\n0 is not prime: 0\n1 is not prime: 1\nD(30801) = 9 + 0 + 8 + 0 + 1 = 18\n\n\\boxed{18}"}
-{"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(29190)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "The digits of 29190 are [2, 9, 1, 9, 0].\n2 is prime: 2^2 = 4\n9 is not prime: 9\n1 is not prime: 1\n9 is not prime: 9\n0 is not prime: 0\nD(29190) = 4 + 9 + 1 + 9 + 0 = 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(58220)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "The digits of 58220 are [5, 8, 2, 2, 0].\nSum of digits = 5 + 8 + 2 + 2 + 0 = 17\nMax digit = 8\nA(58220) = 17 * 8 = 136\n\n\\boxed{136}"}
-{"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(10332)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "The digits of 10332 are [1, 0, 3, 3, 2].\n1 is not prime: 1\n0 is not prime: 0\n3 is prime: 3^2 = 9\n3 is prime: 3^2 = 9\n2 is prime: 2^2 = 4\nD(10332) = 1 + 0 + 9 + 9 + 4 = 23\n\n\\boxed{23}"}
-{"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(58598)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "The digits of 58598 are [5, 8, 5, 9, 8].\nT(5) = 5*6/2 = 15\nT(8) = 8*9/2 = 36\nT(5) = 5*6/2 = 15\nT(9) = 9*10/2 = 45\nT(8) = 8*9/2 = 36\nG(58598) = 15 + 36 + 15 + 45 + 36 = 147\n\n\\boxed{147}"}
-{"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(2329)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "The digits of 2329 are [2, 3, 2, 9].\nReversed: [9, 2, 3, 2]\n2*9 + 3*2 + 2*3 + 9*2 = 18 + 6 + 6 + 18 = 48\nE(2329) = 48\n\n\\boxed{48}"}
-{"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(58598)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "The digits of 58598 are [5, 8, 5, 9, 8].\n5 is prime: 5^2 = 25\n8 is not prime: 8\n5 is prime: 5^2 = 25\n9 is not prime: 9\n8 is not prime: 8\nD(58598) = 25 + 8 + 25 + 9 + 8 = 75\n\n\\boxed{75}"}
-{"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(85638)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "The digits of 85638 are [8, 5, 6, 3, 8].\nAlternating sum of squares = 8^2 - 5^2 + 6^2 - 3^2 + 8^2 = 64 - 25 + 36 - 9 + 64 = 130\nC(85638) = |130| = 130\n\n\\boxed{130}"}
-{"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(72154)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "The digits of 72154 are [7, 2, 1, 5, 4].\nAlternating sum of squares = 7^2 - 2^2 + 1^2 - 5^2 + 4^2 = 49 - 4 + 1 - 25 + 16 = 37\nC(72154) = |37| = 37\n\n\\boxed{37}"}
-{"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(41426)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "The digits of 41426 are [4, 1, 4, 2, 6].\n4 is not prime: 4\n1 is not prime: 1\n4 is not prime: 4\n2 is prime: 2^2 = 4\n6 is not prime: 6\nD(41426) = 4 + 1 + 4 + 4 + 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(2329)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "The digits of 2329 are [2, 3, 2, 9].\n2 is prime: 2^2 = 4\n3 is prime: 3^2 = 9\n2 is prime: 2^2 = 4\n9 is not prime: 9\nD(2329) = 4 + 9 + 4 + 9 = 26\n\n\\boxed{26}"}
-{"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(15559)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "The digits of 15559 are [1, 5, 5, 5, 9].\nMin digit = 1\n(1 - 1)^2 = 0\n(5 - 1)^2 = 16\n(5 - 1)^2 = 16\n(5 - 1)^2 = 16\n(9 - 1)^2 = 64\nB(15559) = 0 + 16 + 16 + 16 + 64 = 112\n\n\\boxed{112}"}
-{"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(85638)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "The digits of 85638 are [8, 5, 6, 3, 8].\n8 is not prime: 8\n5 is prime: 5^2 = 25\n6 is not prime: 6\n3 is prime: 3^2 = 9\n8 is not prime: 8\nD(85638) = 8 + 25 + 6 + 9 + 8 = 56\n\n\\boxed{56}"}
-{"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(15559)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "The digits of 15559 are [1, 5, 5, 5, 9].\nReversed: [9, 5, 5, 5, 1]\n1*9 + 5*5 + 5*5 + 5*5 + 9*1 = 9 + 25 + 25 + 25 + 9 = 93\nE(15559) = 93\n\n\\boxed{93}"}
-{"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(73024)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "The digit string of 73024 is \"73024\".\nRotations: 73024, 30247, 2473, 24730, 47302\nH(73024) = min(73024, 30247, 2473, 24730, 47302) = 2473\n\n\\boxed{2473}"}
-{"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(10332)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "The digits of 10332 are [1, 0, 3, 3, 2].\nT(1) = 1*2/2 = 1\nT(0) = 0*1/2 = 0\nT(3) = 3*4/2 = 6\nT(3) = 3*4/2 = 6\nT(2) = 2*3/2 = 3\nG(10332) = 1 + 0 + 6 + 6 + 3 = 16\n\n\\boxed{16}"}
-{"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(6599)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "The digits of 6599 are [6, 5, 9, 9].\nMin digit = 5\n(6 - 5)^2 = 1\n(5 - 5)^2 = 0\n(9 - 5)^2 = 16\n(9 - 5)^2 = 16\nB(6599) = 1 + 0 + 16 + 16 = 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(52858)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "The digit string of 52858 is \"52858\".\nRotations: 52858, 28585, 85852, 58528, 85285\nH(52858) = min(52858, 28585, 85852, 58528, 85285) = 28585\n\n\\boxed{28585}"}
-{"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(54046)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "The digits of 54046 are [5, 4, 0, 4, 6].\nRunning max: 5, 5, 5, 5, 6\nF(54046) = 5 + 5 + 5 + 5 + 6 = 26\n\n\\boxed{26}"}
-{"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(73024)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "The digits of 73024 are [7, 3, 0, 2, 4].\nAlternating sum of squares = 7^2 - 3^2 + 0^2 - 2^2 + 4^2 = 49 - 9 + 0 - 4 + 16 = 52\nC(73024) = |52| = 52\n\n\\boxed{52}"}
-{"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(60174)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "The digits of 60174 are [6, 0, 1, 7, 4].\nAlternating sum of squares = 6^2 - 0^2 + 1^2 - 7^2 + 4^2 = 36 - 0 + 1 - 49 + 16 = 4\nC(60174) = |4| = 4\n\n\\boxed{4}"}
-{"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(29190)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "The digits of 29190 are [2, 9, 1, 9, 0].\nT(2) = 2*3/2 = 3\nT(9) = 9*10/2 = 45\nT(1) = 1*2/2 = 1\nT(9) = 9*10/2 = 45\nT(0) = 0*1/2 = 0\nG(29190) = 3 + 45 + 1 + 45 + 0 = 94\n\n\\boxed{94}"}
-{"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(97679)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "The digits of 97679 are [9, 7, 6, 7, 9].\nSum of digits = 9 + 7 + 6 + 7 + 9 = 38\nMax digit = 9\nA(97679) = 38 * 9 = 342\n\n\\boxed{342}"}
-{"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(73024)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "The digits of 73024 are [7, 3, 0, 2, 4].\nMin digit = 0\n(7 - 0)^2 = 49\n(3 - 0)^2 = 9\n(0 - 0)^2 = 0\n(2 - 0)^2 = 4\n(4 - 0)^2 = 16\nB(73024) = 49 + 9 + 0 + 4 + 16 = 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(97679)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "The digits of 97679 are [9, 7, 6, 7, 9].\n9 is not prime: 9\n7 is prime: 7^2 = 49\n6 is not prime: 6\n7 is prime: 7^2 = 49\n9 is not prime: 9\nD(97679) = 9 + 49 + 6 + 49 + 9 = 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(6599)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "The digits of 6599 are [6, 5, 9, 9].\n6 is not prime: 6\n5 is prime: 5^2 = 25\n9 is not prime: 9\n9 is not prime: 9\nD(6599) = 6 + 25 + 9 + 9 = 49\n\n\\boxed{49}"}
-{"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(15559)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "The digits of 15559 are [1, 5, 5, 5, 9].\nRunning max: 1, 5, 5, 5, 9\nF(15559) = 1 + 5 + 5 + 5 + 9 = 25\n\n\\boxed{25}"}
-{"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(13453)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "The digits of 13453 are [1, 3, 4, 5, 3].\nSum of digits = 1 + 3 + 4 + 5 + 3 = 16\nMax digit = 5\nA(13453) = 16 * 5 = 80\n\n\\boxed{80}"}
-{"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(52879)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "The digits of 52879 are [5, 2, 8, 7, 9].\n5 is prime: 5^2 = 25\n2 is prime: 2^2 = 4\n8 is not prime: 8\n7 is prime: 7^2 = 49\n9 is not prime: 9\nD(52879) = 25 + 4 + 8 + 49 + 9 = 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(30801)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "The digits of 30801 are [3, 0, 8, 0, 1].\nMin digit = 0\n(3 - 0)^2 = 9\n(0 - 0)^2 = 0\n(8 - 0)^2 = 64\n(0 - 0)^2 = 0\n(1 - 0)^2 = 1\nB(30801) = 9 + 0 + 64 + 0 + 1 = 74\n\n\\boxed{74}"}
-{"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(11536)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "The digits of 11536 are [1, 1, 5, 3, 6].\nRunning max: 1, 1, 5, 5, 6\nF(11536) = 1 + 1 + 5 + 5 + 6 = 18\n\n\\boxed{18}"}
-{"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(97679)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "The digits of 97679 are [9, 7, 6, 7, 9].\nReversed: [9, 7, 6, 7, 9]\n9*9 + 7*7 + 6*6 + 7*7 + 9*9 = 81 + 49 + 36 + 49 + 81 = 296\nE(97679) = 296\n\n\\boxed{296}"}
-{"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(58733)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "The digits of 58733 are [5, 8, 7, 3, 3].\nSum of digits = 5 + 8 + 7 + 3 + 3 = 26\nMax digit = 8\nA(58733) = 26 * 8 = 208\n\n\\boxed{208}"}
-{"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(97679)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "The digits of 97679 are [9, 7, 6, 7, 9].\nAlternating sum of squares = 9^2 - 7^2 + 6^2 - 7^2 + 9^2 = 81 - 49 + 36 - 49 + 81 = 100\nC(97679) = |100| = 100\n\n\\boxed{100}"}
-{"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(65333)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "The digits of 65333 are [6, 5, 3, 3, 3].\n6 is not prime: 6\n5 is prime: 5^2 = 25\n3 is prime: 3^2 = 9\n3 is prime: 3^2 = 9\n3 is prime: 3^2 = 9\nD(65333) = 6 + 25 + 9 + 9 + 9 = 58\n\n\\boxed{58}"}
-{"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(15559)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "The digits of 15559 are [1, 5, 5, 5, 9].\n1 is not prime: 1\n5 is prime: 5^2 = 25\n5 is prime: 5^2 = 25\n5 is prime: 5^2 = 25\n9 is not prime: 9\nD(15559) = 1 + 25 + 25 + 25 + 9 = 85\n\n\\boxed{85}"}
-{"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(73024)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "The digits of 73024 are [7, 3, 0, 2, 4].\nSum of digits = 7 + 3 + 0 + 2 + 4 = 16\nMax digit = 7\nA(73024) = 16 * 7 = 112\n\n\\boxed{112}"}
-{"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(54046)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "The digits of 54046 are [5, 4, 0, 4, 6].\n5 is prime: 5^2 = 25\n4 is not prime: 4\n0 is not prime: 0\n4 is not prime: 4\n6 is not prime: 6\nD(54046) = 25 + 4 + 0 + 4 + 6 = 39\n\n\\boxed{39}"}
-{"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(10332)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "The digit string of 10332 is \"10332\".\nRotations: 10332, 3321, 33210, 32103, 21033\nH(10332) = min(10332, 3321, 33210, 32103, 21033) = 3321\n\n\\boxed{3321}"}
-{"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(41426)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "The digit string of 41426 is \"41426\".\nRotations: 41426, 14264, 42641, 26414, 64142\nH(41426) = min(41426, 14264, 42641, 26414, 64142) = 14264\n\n\\boxed{14264}"}
-{"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(58733)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "The digits of 58733 are [5, 8, 7, 3, 3].\n5 is prime: 5^2 = 25\n8 is not prime: 8\n7 is prime: 7^2 = 49\n3 is prime: 3^2 = 9\n3 is prime: 3^2 = 9\nD(58733) = 25 + 8 + 49 + 9 + 9 = 100\n\n\\boxed{100}"}
-{"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(30801)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "The digit string of 30801 is \"30801\".\nRotations: 30801, 8013, 80130, 1308, 13080\nH(30801) = min(30801, 8013, 80130, 1308, 13080) = 1308\n\n\\boxed{1308}"}
-{"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(58598)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "The digits of 58598 are [5, 8, 5, 9, 8].\nMin digit = 5\n(5 - 5)^2 = 0\n(8 - 5)^2 = 9\n(5 - 5)^2 = 0\n(9 - 5)^2 = 16\n(8 - 5)^2 = 9\nB(58598) = 0 + 9 + 0 + 16 + 9 = 34\n\n\\boxed{34}"}
-{"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(85638)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "The digits of 85638 are [8, 5, 6, 3, 8].\nT(8) = 8*9/2 = 36\nT(5) = 5*6/2 = 15\nT(6) = 6*7/2 = 21\nT(3) = 3*4/2 = 6\nT(8) = 8*9/2 = 36\nG(85638) = 36 + 15 + 21 + 6 + 36 = 114\n\n\\boxed{114}"}
-{"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(11536)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "The digits of 11536 are [1, 1, 5, 3, 6].\n1 is not prime: 1\n1 is not prime: 1\n5 is prime: 5^2 = 25\n3 is prime: 3^2 = 9\n6 is not prime: 6\nD(11536) = 1 + 1 + 25 + 9 + 6 = 42\n\n\\boxed{42}"}
-{"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(75108)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "The digit string of 75108 is \"75108\".\nRotations: 75108, 51087, 10875, 8751, 87510\nH(75108) = min(75108, 51087, 10875, 8751, 87510) = 8751\n\n\\boxed{8751}"}
-{"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(41426)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "The digits of 41426 are [4, 1, 4, 2, 6].\nMin digit = 1\n(4 - 1)^2 = 9\n(1 - 1)^2 = 0\n(4 - 1)^2 = 9\n(2 - 1)^2 = 1\n(6 - 1)^2 = 25\nB(41426) = 9 + 0 + 9 + 1 + 25 = 44\n\n\\boxed{44}"}
-{"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(66444)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "The digits of 66444 are [6, 6, 4, 4, 4].\nSum of digits = 6 + 6 + 4 + 4 + 4 = 24\nMax digit = 6\nA(66444) = 24 * 6 = 144\n\n\\boxed{144}"}
-{"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(52879)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "The digits of 52879 are [5, 2, 8, 7, 9].\nAlternating sum of squares = 5^2 - 2^2 + 8^2 - 7^2 + 9^2 = 25 - 4 + 64 - 49 + 81 = 117\nC(52879) = |117| = 117\n\n\\boxed{117}"}
-{"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(6599)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "The digits of 6599 are [6, 5, 9, 9].\nT(6) = 6*7/2 = 21\nT(5) = 5*6/2 = 15\nT(9) = 9*10/2 = 45\nT(9) = 9*10/2 = 45\nG(6599) = 21 + 15 + 45 + 45 = 126\n\n\\boxed{126}"}
-{"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(58598)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "The digits of 58598 are [5, 8, 5, 9, 8].\nReversed: [8, 9, 5, 8, 5]\n5*8 + 8*9 + 5*5 + 9*8 + 8*5 = 40 + 72 + 25 + 72 + 40 = 249\nE(58598) = 249\n\n\\boxed{249}"}
-{"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(30801)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "The digits of 30801 are [3, 0, 8, 0, 1].\nAlternating sum of squares = 3^2 - 0^2 + 8^2 - 0^2 + 1^2 = 9 - 0 + 64 - 0 + 1 = 74\nC(30801) = |74| = 74\n\n\\boxed{74}"}
-{"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(10332)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "The digits of 10332 are [1, 0, 3, 3, 2].\nReversed: [2, 3, 3, 0, 1]\n1*2 + 0*3 + 3*3 + 3*0 + 2*1 = 2 + 0 + 9 + 0 + 2 = 13\nE(10332) = 13\n\n\\boxed{13}"}
-{"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(15559)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "The digit string of 15559 is \"15559\".\nRotations: 15559, 55591, 55915, 59155, 91555\nH(15559) = min(15559, 55591, 55915, 59155, 91555) = 15559\n\n\\boxed{15559}"}
-{"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(15559)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "The digits of 15559 are [1, 5, 5, 5, 9].\nT(1) = 1*2/2 = 1\nT(5) = 5*6/2 = 15\nT(5) = 5*6/2 = 15\nT(5) = 5*6/2 = 15\nT(9) = 9*10/2 = 45\nG(15559) = 1 + 15 + 15 + 15 + 45 = 91\n\n\\boxed{91}"}
-{"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(6599)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "The digits of 6599 are [6, 5, 9, 9].\nAlternating sum of squares = 6^2 - 5^2 + 9^2 - 9^2 = 36 - 25 + 81 - 81 = 11\nC(6599) = |11| = 11\n\n\\boxed{11}"}
-{"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(85638)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "The digits of 85638 are [8, 5, 6, 3, 8].\nRunning max: 8, 8, 8, 8, 8\nF(85638) = 8 + 8 + 8 + 8 + 8 = 40\n\n\\boxed{40}"}
-{"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(54046)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "The digit string of 54046 is \"54046\".\nRotations: 54046, 40465, 4654, 46540, 65404\nH(54046) = min(54046, 40465, 4654, 46540, 65404) = 4654\n\n\\boxed{4654}"}
-{"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(49628)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "The digits of 49628 are [4, 9, 6, 2, 8].\nT(4) = 4*5/2 = 10\nT(9) = 9*10/2 = 45\nT(6) = 6*7/2 = 21\nT(2) = 2*3/2 = 3\nT(8) = 8*9/2 = 36\nG(49628) = 10 + 45 + 21 + 3 + 36 = 115\n\n\\boxed{115}"}
-{"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(49628)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "The digits of 49628 are [4, 9, 6, 2, 8].\nRunning max: 4, 9, 9, 9, 9\nF(49628) = 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(58220)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "The digits of 58220 are [5, 8, 2, 2, 0].\nAlternating sum of squares = 5^2 - 8^2 + 2^2 - 2^2 + 0^2 = 25 - 64 + 4 - 4 + 0 = -39\nC(58220) = |-39| = 39\n\n\\boxed{39}"}
-{"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(52858)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "The digits of 52858 are [5, 2, 8, 5, 8].\nAlternating sum of squares = 5^2 - 2^2 + 8^2 - 5^2 + 8^2 = 25 - 4 + 64 - 25 + 64 = 124\nC(52858) = |124| = 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(4696)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "The digits of 4696 are [4, 6, 9, 6].\nSum of digits = 4 + 6 + 9 + 6 = 25\nMax digit = 9\nA(4696) = 25 * 9 = 225\n\n\\boxed{225}"}
-{"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(10332)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "The digits of 10332 are [1, 0, 3, 3, 2].\nSum of digits = 1 + 0 + 3 + 3 + 2 = 9\nMax digit = 3\nA(10332) = 9 * 3 = 27\n\n\\boxed{27}"}
-{"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(60174)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "The digits of 60174 are [6, 0, 1, 7, 4].\nSum of digits = 6 + 0 + 1 + 7 + 4 = 18\nMax digit = 7\nA(60174) = 18 * 7 = 126\n\n\\boxed{126}"}
-{"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(60174)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "The digits of 60174 are [6, 0, 1, 7, 4].\nReversed: [4, 7, 1, 0, 6]\n6*4 + 0*7 + 1*1 + 7*0 + 4*6 = 24 + 0 + 1 + 0 + 24 = 49\nE(60174) = 49\n\n\\boxed{49}"}
-{"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(66444)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "The digits of 66444 are [6, 6, 4, 4, 4].\nT(6) = 6*7/2 = 21\nT(6) = 6*7/2 = 21\nT(4) = 4*5/2 = 10\nT(4) = 4*5/2 = 10\nT(4) = 4*5/2 = 10\nG(66444) = 21 + 21 + 10 + 10 + 10 = 72\n\n\\boxed{72}"}
-{"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(54046)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "The digits of 54046 are [5, 4, 0, 4, 6].\nSum of digits = 5 + 4 + 0 + 4 + 6 = 19\nMax digit = 6\nA(54046) = 19 * 6 = 114\n\n\\boxed{114}"}
-{"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(58598)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "The digits of 58598 are [5, 8, 5, 9, 8].\nRunning max: 5, 8, 8, 9, 9\nF(58598) = 5 + 8 + 8 + 9 + 9 = 39\n\n\\boxed{39}"}
-{"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(4696)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "The digits of 4696 are [4, 6, 9, 6].\nT(4) = 4*5/2 = 10\nT(6) = 6*7/2 = 21\nT(9) = 9*10/2 = 45\nT(6) = 6*7/2 = 21\nG(4696) = 10 + 21 + 45 + 21 = 97\n\n\\boxed{97}"}
-{"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(66444)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "The digits of 66444 are [6, 6, 4, 4, 4].\nMin digit = 4\n(6 - 4)^2 = 4\n(6 - 4)^2 = 4\n(4 - 4)^2 = 0\n(4 - 4)^2 = 0\n(4 - 4)^2 = 0\nB(66444) = 4 + 4 + 0 + 0 + 0 = 8\n\n\\boxed{8}"}
-{"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(65333)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "The digit string of 65333 is \"65333\".\nRotations: 65333, 53336, 33365, 33653, 36533\nH(65333) = min(65333, 53336, 33365, 33653, 36533) = 33365\n\n\\boxed{33365}"}
-{"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(75108)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "The digits of 75108 are [7, 5, 1, 0, 8].\nMin digit = 0\n(7 - 0)^2 = 49\n(5 - 0)^2 = 25\n(1 - 0)^2 = 1\n(0 - 0)^2 = 0\n(8 - 0)^2 = 64\nB(75108) = 49 + 25 + 1 + 0 + 64 = 139\n\n\\boxed{139}"}
-{"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(10332)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "The digits of 10332 are [1, 0, 3, 3, 2].\nAlternating sum of squares = 1^2 - 0^2 + 3^2 - 3^2 + 2^2 = 1 - 0 + 9 - 9 + 4 = 5\nC(10332) = |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(11536)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "The digits of 11536 are [1, 1, 5, 3, 6].\nAlternating sum of squares = 1^2 - 1^2 + 5^2 - 3^2 + 6^2 = 1 - 1 + 25 - 9 + 36 = 52\nC(11536) = |52| = 52\n\n\\boxed{52}"}
-{"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(13453)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "The digits of 13453 are [1, 3, 4, 5, 3].\nAlternating sum of squares = 1^2 - 3^2 + 4^2 - 5^2 + 3^2 = 1 - 9 + 16 - 25 + 9 = -8\nC(13453) = |-8| = 8\n\n\\boxed{8}"}
-{"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(58598)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "The digit string of 58598 is \"58598\".\nRotations: 58598, 85985, 59858, 98585, 85859\nH(58598) = min(58598, 85985, 59858, 98585, 85859) = 58598\n\n\\boxed{58598}"}
-{"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(30801)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "The digits of 30801 are [3, 0, 8, 0, 1].\nSum of digits = 3 + 0 + 8 + 0 + 1 = 12\nMax digit = 8\nA(30801) = 12 * 8 = 96\n\n\\boxed{96}"}
-{"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(72154)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "The digits of 72154 are [7, 2, 1, 5, 4].\nMin digit = 1\n(7 - 1)^2 = 36\n(2 - 1)^2 = 1\n(1 - 1)^2 = 0\n(5 - 1)^2 = 16\n(4 - 1)^2 = 9\nB(72154) = 36 + 1 + 0 + 16 + 9 = 62\n\n\\boxed{62}"}
-{"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(65333)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "The digits of 65333 are [6, 5, 3, 3, 3].\nT(6) = 6*7/2 = 21\nT(5) = 5*6/2 = 15\nT(3) = 3*4/2 = 6\nT(3) = 3*4/2 = 6\nT(3) = 3*4/2 = 6\nG(65333) = 21 + 15 + 6 + 6 + 6 = 54\n\n\\boxed{54}"}