diff --git "a/math_operations/primitive_atomic_balanced_new_operations/balanced_test_alpaca.jsonl" "b/math_operations/primitive_atomic_balanced_new_operations/balanced_test_alpaca.jsonl" new file mode 100644--- /dev/null +++ "b/math_operations/primitive_atomic_balanced_new_operations/balanced_test_alpaca.jsonl" @@ -0,0 +1,500 @@ +{"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: 8\n\nInput: 41\nOutput: 1\n\nInput: 45\nOutput: 5\n\nInput: 87397\nOutput: 7\n\nInput: 242\nOutput: 2\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 5\n\nInput: 21395\nOutput: 5\n\nInput: 2\nOutput: 2\n\nInput: 2679\nOutput: 9\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": "8"} +{"instruction": "Based on the input–output examples below, infer the rule implemented by function p. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 238\n\nInput: 41\nOutput: 14\n\nInput: 45\nOutput: 45\n\nInput: 87397\nOutput: 37789\n\nInput: 242\nOutput: 224\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 3599\n\nInput: 21395\nOutput: 12359\n\nInput: 2\nOutput: 2\n\nInput: 2679\nOutput: 2679\n\nQuestion:\nWhat is the output of p(58598)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "55889"} +{"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: 48\n\nInput: 41\nOutput: 4\n\nInput: 45\nOutput: 20\n\nInput: 87397\nOutput: 10584\n\nInput: 242\nOutput: 16\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 1215\n\nInput: 21395\nOutput: 270\n\nInput: 2\nOutput: 2\n\nInput: 2679\nOutput: 756\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": "2430"} +{"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: 8\n\nInput: 41\nOutput: 1\n\nInput: 45\nOutput: 5\n\nInput: 87397\nOutput: 7\n\nInput: 242\nOutput: 2\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 5\n\nInput: 21395\nOutput: 5\n\nInput: 2\nOutput: 2\n\nInput: 2679\nOutput: 9\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": "3"} +{"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: 3\n\nInput: 41\nOutput: 2\n\nInput: 45\nOutput: 2\n\nInput: 87397\nOutput: 5\n\nInput: 242\nOutput: 3\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 4\n\nInput: 21395\nOutput: 5\n\nInput: 2\nOutput: 1\n\nInput: 2679\nOutput: 4\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": "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: 3\n\nInput: 41\nOutput: 2\n\nInput: 45\nOutput: 2\n\nInput: 87397\nOutput: 5\n\nInput: 242\nOutput: 3\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 4\n\nInput: 21395\nOutput: 5\n\nInput: 2\nOutput: 1\n\nInput: 2679\nOutput: 4\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": "4"} +{"instruction": "Based on the input–output examples below, infer the rule implemented by function m. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 3\n\nInput: 41\nOutput: 2\n\nInput: 45\nOutput: 2\n\nInput: 87397\nOutput: 4\n\nInput: 242\nOutput: 2\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 3\n\nInput: 21395\nOutput: 5\n\nInput: 2\nOutput: 1\n\nInput: 2679\nOutput: 4\n\nQuestion:\nWhat is the output of m(58220)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "4"} +{"instruction": "Based on the input–output examples below, infer the rule implemented by function i. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 823\n\nInput: 41\nOutput: 14\n\nInput: 45\nOutput: 54\n\nInput: 87397\nOutput: 79378\n\nInput: 242\nOutput: 242\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 5399\n\nInput: 21395\nOutput: 59312\n\nInput: 2\nOutput: 2\n\nInput: 2679\nOutput: 9762\n\nQuestion:\nWhat is the output of i(2329)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "9232"} +{"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: 3\n\nInput: 41\nOutput: 2\n\nInput: 45\nOutput: 2\n\nInput: 87397\nOutput: 5\n\nInput: 242\nOutput: 3\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 4\n\nInput: 21395\nOutput: 5\n\nInput: 2\nOutput: 1\n\nInput: 2679\nOutput: 4\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": "5"} +{"instruction": "Based on the input–output examples below, infer the rule implemented by function n. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 4\n\nInput: 41\nOutput: 5\n\nInput: 45\nOutput: 9\n\nInput: 87397\nOutput: 7\n\nInput: 242\nOutput: 8\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 8\n\nInput: 21395\nOutput: 2\n\nInput: 2\nOutput: 2\n\nInput: 2679\nOutput: 6\n\nQuestion:\nWhat is the output of n(58598)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "8"} +{"instruction": "Based on the input–output examples below, infer the rule implemented by function q. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 832\n\nInput: 41\nOutput: 41\n\nInput: 45\nOutput: 54\n\nInput: 87397\nOutput: 98773\n\nInput: 242\nOutput: 422\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 9953\n\nInput: 21395\nOutput: 95321\n\nInput: 2\nOutput: 2\n\nInput: 2679\nOutput: 9762\n\nQuestion:\nWhat is the output of q(85638)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "88653"} +{"instruction": "Based on the input–output examples below, infer the rule implemented by function q. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 832\n\nInput: 41\nOutput: 41\n\nInput: 45\nOutput: 54\n\nInput: 87397\nOutput: 98773\n\nInput: 242\nOutput: 422\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 9953\n\nInput: 21395\nOutput: 95321\n\nInput: 2\nOutput: 2\n\nInput: 2679\nOutput: 9762\n\nQuestion:\nWhat is the output of q(58220)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "85220"} +{"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: 8\n\nInput: 41\nOutput: 4\n\nInput: 45\nOutput: 5\n\nInput: 87397\nOutput: 9\n\nInput: 242\nOutput: 4\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 9\n\nInput: 21395\nOutput: 9\n\nInput: 2\nOutput: 2\n\nInput: 2679\nOutput: 9\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": "6"} +{"instruction": "Based on the input–output examples below, infer the rule implemented by function i. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 823\n\nInput: 41\nOutput: 14\n\nInput: 45\nOutput: 54\n\nInput: 87397\nOutput: 79378\n\nInput: 242\nOutput: 242\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 5399\n\nInput: 21395\nOutput: 59312\n\nInput: 2\nOutput: 2\n\nInput: 2679\nOutput: 9762\n\nQuestion:\nWhat is the output of i(58220)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "2285"} +{"instruction": "Based on the input–output examples below, infer the rule implemented by function t. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 24\n\nInput: 41\nOutput: 4\n\nInput: 45\nOutput: 20\n\nInput: 87397\nOutput: 56\n\nInput: 242\nOutput: 4\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 45\n\nInput: 21395\nOutput: 10\n\nInput: 2\nOutput: 4\n\nInput: 2679\nOutput: 18\n\nQuestion:\nWhat is the output of t(58733)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "15"} +{"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: 3\n\nInput: 41\nOutput: 2\n\nInput: 45\nOutput: 2\n\nInput: 87397\nOutput: 5\n\nInput: 242\nOutput: 3\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 4\n\nInput: 21395\nOutput: 5\n\nInput: 2\nOutput: 1\n\nInput: 2679\nOutput: 4\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": "4"} +{"instruction": "Based on the input–output examples below, infer the rule implemented by function o. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 77\n\nInput: 41\nOutput: 17\n\nInput: 45\nOutput: 41\n\nInput: 87397\nOutput: 252\n\nInput: 242\nOutput: 24\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 196\n\nInput: 21395\nOutput: 120\n\nInput: 2\nOutput: 4\n\nInput: 2679\nOutput: 170\n\nQuestion:\nWhat is the output of o(75108)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "139"} +{"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: 8\n\nInput: 41\nOutput: 1\n\nInput: 45\nOutput: 5\n\nInput: 87397\nOutput: 7\n\nInput: 242\nOutput: 2\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 5\n\nInput: 21395\nOutput: 5\n\nInput: 2\nOutput: 2\n\nInput: 2679\nOutput: 9\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": "9"} +{"instruction": "Based on the input–output examples below, infer the rule implemented by function i. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 823\n\nInput: 41\nOutput: 14\n\nInput: 45\nOutput: 54\n\nInput: 87397\nOutput: 79378\n\nInput: 242\nOutput: 242\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 5399\n\nInput: 21395\nOutput: 59312\n\nInput: 2\nOutput: 2\n\nInput: 2679\nOutput: 9762\n\nQuestion:\nWhat is the output of i(13453)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "35431"} +{"instruction": "Based on the input–output examples below, infer the rule implemented by function k. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 2\n\nInput: 41\nOutput: 1\n\nInput: 45\nOutput: 1\n\nInput: 87397\nOutput: 1\n\nInput: 242\nOutput: 3\n\nInput: 1\nOutput: 0\n\nInput: 9935\nOutput: 0\n\nInput: 21395\nOutput: 1\n\nInput: 2\nOutput: 1\n\nInput: 2679\nOutput: 2\n\nQuestion:\nWhat is the output of k(11536)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "1"} +{"instruction": "Based on the input–output examples below, infer the rule implemented by function r. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 0\n\nInput: 41\nOutput: 0\n\nInput: 45\nOutput: 0\n\nInput: 87397\nOutput: 0\n\nInput: 242\nOutput: 0\n\nInput: 1\nOutput: 0\n\nInput: 9935\nOutput: 0\n\nInput: 21395\nOutput: 0\n\nInput: 2\nOutput: 0\n\nInput: 2679\nOutput: 0\n\nQuestion:\nWhat is the output of r(75108)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "1"} +{"instruction": "Based on the input–output examples below, infer the rule implemented by function m. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 3\n\nInput: 41\nOutput: 2\n\nInput: 45\nOutput: 2\n\nInput: 87397\nOutput: 4\n\nInput: 242\nOutput: 2\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 3\n\nInput: 21395\nOutput: 5\n\nInput: 2\nOutput: 1\n\nInput: 2679\nOutput: 4\n\nQuestion:\nWhat is the output of m(6599)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "3"} +{"instruction": "Based on the input–output examples below, infer the rule implemented by function l. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 1\n\nInput: 41\nOutput: 1\n\nInput: 45\nOutput: 1\n\nInput: 87397\nOutput: 4\n\nInput: 242\nOutput: 0\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 4\n\nInput: 21395\nOutput: 4\n\nInput: 2\nOutput: 0\n\nInput: 2679\nOutput: 2\n\nQuestion:\nWhat is the output of l(52858)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "2"} +{"instruction": "Based on the input–output examples below, infer the rule implemented by function p. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 238\n\nInput: 41\nOutput: 14\n\nInput: 45\nOutput: 45\n\nInput: 87397\nOutput: 37789\n\nInput: 242\nOutput: 224\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 3599\n\nInput: 21395\nOutput: 12359\n\nInput: 2\nOutput: 2\n\nInput: 2679\nOutput: 2679\n\nQuestion:\nWhat is the output of p(52858)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "25588"} +{"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: 13\n\nInput: 41\nOutput: 5\n\nInput: 45\nOutput: 9\n\nInput: 87397\nOutput: 34\n\nInput: 242\nOutput: 8\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 26\n\nInput: 21395\nOutput: 20\n\nInput: 2\nOutput: 2\n\nInput: 2679\nOutput: 24\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": "21"} +{"instruction": "Based on the input–output examples below, infer the rule implemented by function s. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 26\n\nInput: 41\nOutput: 10\n\nInput: 45\nOutput: 18\n\nInput: 87397\nOutput: 68\n\nInput: 242\nOutput: 16\n\nInput: 1\nOutput: 2\n\nInput: 9935\nOutput: 52\n\nInput: 21395\nOutput: 40\n\nInput: 2\nOutput: 4\n\nInput: 2679\nOutput: 48\n\nQuestion:\nWhat is the output of s(60174)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "36"} +{"instruction": "Based on the input–output examples below, infer the rule implemented by function j. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 11\n\nInput: 41\nOutput: 5\n\nInput: 45\nOutput: 9\n\nInput: 87397\nOutput: 15\n\nInput: 242\nOutput: 4\n\nInput: 1\nOutput: 2\n\nInput: 9935\nOutput: 14\n\nInput: 21395\nOutput: 7\n\nInput: 2\nOutput: 4\n\nInput: 2679\nOutput: 11\n\nQuestion:\nWhat is the output of j(73024)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "11"} +{"instruction": "Based on the input–output examples below, infer the rule implemented by function j. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 11\n\nInput: 41\nOutput: 5\n\nInput: 45\nOutput: 9\n\nInput: 87397\nOutput: 15\n\nInput: 242\nOutput: 4\n\nInput: 1\nOutput: 2\n\nInput: 9935\nOutput: 14\n\nInput: 21395\nOutput: 7\n\nInput: 2\nOutput: 4\n\nInput: 2679\nOutput: 11\n\nQuestion:\nWhat is the output of j(85638)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "16"} +{"instruction": "Based on the input–output examples below, infer the rule implemented by function j. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 11\n\nInput: 41\nOutput: 5\n\nInput: 45\nOutput: 9\n\nInput: 87397\nOutput: 15\n\nInput: 242\nOutput: 4\n\nInput: 1\nOutput: 2\n\nInput: 9935\nOutput: 14\n\nInput: 21395\nOutput: 7\n\nInput: 2\nOutput: 4\n\nInput: 2679\nOutput: 11\n\nQuestion:\nWhat is the output of j(6599)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "15"} +{"instruction": "Based on the input–output examples below, infer the rule implemented by function i. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 823\n\nInput: 41\nOutput: 14\n\nInput: 45\nOutput: 54\n\nInput: 87397\nOutput: 79378\n\nInput: 242\nOutput: 242\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 5399\n\nInput: 21395\nOutput: 59312\n\nInput: 2\nOutput: 2\n\nInput: 2679\nOutput: 9762\n\nQuestion:\nWhat is the output of i(72154)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "45127"} +{"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: 3\n\nInput: 41\nOutput: 4\n\nInput: 45\nOutput: 4\n\nInput: 87397\nOutput: 8\n\nInput: 242\nOutput: 2\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 9\n\nInput: 21395\nOutput: 2\n\nInput: 2\nOutput: 2\n\nInput: 2679\nOutput: 2\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": "5"} +{"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: 8\n\nInput: 41\nOutput: 1\n\nInput: 45\nOutput: 5\n\nInput: 87397\nOutput: 7\n\nInput: 242\nOutput: 2\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 5\n\nInput: 21395\nOutput: 5\n\nInput: 2\nOutput: 2\n\nInput: 2679\nOutput: 9\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": "4"} +{"instruction": "Based on the input–output examples below, infer the rule implemented by function i. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 823\n\nInput: 41\nOutput: 14\n\nInput: 45\nOutput: 54\n\nInput: 87397\nOutput: 79378\n\nInput: 242\nOutput: 242\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 5399\n\nInput: 21395\nOutput: 59312\n\nInput: 2\nOutput: 2\n\nInput: 2679\nOutput: 9762\n\nQuestion:\nWhat is the output of i(49628)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "82694"} +{"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: 48\n\nInput: 41\nOutput: 4\n\nInput: 45\nOutput: 20\n\nInput: 87397\nOutput: 10584\n\nInput: 242\nOutput: 16\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 1215\n\nInput: 21395\nOutput: 270\n\nInput: 2\nOutput: 2\n\nInput: 2679\nOutput: 756\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": "192"} +{"instruction": "Based on the input–output examples below, infer the rule implemented by function l. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 1\n\nInput: 41\nOutput: 1\n\nInput: 45\nOutput: 1\n\nInput: 87397\nOutput: 4\n\nInput: 242\nOutput: 0\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 4\n\nInput: 21395\nOutput: 4\n\nInput: 2\nOutput: 0\n\nInput: 2679\nOutput: 2\n\nQuestion:\nWhat is the output of l(85638)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "2"} +{"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: 13\n\nInput: 41\nOutput: 5\n\nInput: 45\nOutput: 9\n\nInput: 87397\nOutput: 34\n\nInput: 242\nOutput: 8\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 26\n\nInput: 21395\nOutput: 20\n\nInput: 2\nOutput: 2\n\nInput: 2679\nOutput: 24\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": "12"} +{"instruction": "Based on the input–output examples below, infer the rule implemented by function r. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 0\n\nInput: 41\nOutput: 0\n\nInput: 45\nOutput: 0\n\nInput: 87397\nOutput: 0\n\nInput: 242\nOutput: 0\n\nInput: 1\nOutput: 0\n\nInput: 9935\nOutput: 0\n\nInput: 21395\nOutput: 0\n\nInput: 2\nOutput: 0\n\nInput: 2679\nOutput: 0\n\nQuestion:\nWhat is the output of r(2329)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "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: 3\n\nInput: 41\nOutput: 2\n\nInput: 45\nOutput: 2\n\nInput: 87397\nOutput: 5\n\nInput: 242\nOutput: 3\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 4\n\nInput: 21395\nOutput: 5\n\nInput: 2\nOutput: 1\n\nInput: 2679\nOutput: 4\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": "5"} +{"instruction": "Based on the input–output examples below, infer the rule implemented by function j. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 11\n\nInput: 41\nOutput: 5\n\nInput: 45\nOutput: 9\n\nInput: 87397\nOutput: 15\n\nInput: 242\nOutput: 4\n\nInput: 1\nOutput: 2\n\nInput: 9935\nOutput: 14\n\nInput: 21395\nOutput: 7\n\nInput: 2\nOutput: 4\n\nInput: 2679\nOutput: 11\n\nQuestion:\nWhat is the output of j(66444)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "10"} +{"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: 8\n\nInput: 41\nOutput: 1\n\nInput: 45\nOutput: 5\n\nInput: 87397\nOutput: 7\n\nInput: 242\nOutput: 2\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 5\n\nInput: 21395\nOutput: 5\n\nInput: 2\nOutput: 2\n\nInput: 2679\nOutput: 9\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": "6"} +{"instruction": "Based on the input–output examples below, infer the rule implemented by function o. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 77\n\nInput: 41\nOutput: 17\n\nInput: 45\nOutput: 41\n\nInput: 87397\nOutput: 252\n\nInput: 242\nOutput: 24\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 196\n\nInput: 21395\nOutput: 120\n\nInput: 2\nOutput: 4\n\nInput: 2679\nOutput: 170\n\nQuestion:\nWhat is the output of o(10332)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "23"} +{"instruction": "Based on the input–output examples below, infer the rule implemented by function i. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 823\n\nInput: 41\nOutput: 14\n\nInput: 45\nOutput: 54\n\nInput: 87397\nOutput: 79378\n\nInput: 242\nOutput: 242\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 5399\n\nInput: 21395\nOutput: 59312\n\nInput: 2\nOutput: 2\n\nInput: 2679\nOutput: 9762\n\nQuestion:\nWhat is the output of i(54046)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "64045"} +{"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: 8\n\nInput: 41\nOutput: 1\n\nInput: 45\nOutput: 5\n\nInput: 87397\nOutput: 7\n\nInput: 242\nOutput: 2\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 5\n\nInput: 21395\nOutput: 5\n\nInput: 2\nOutput: 2\n\nInput: 2679\nOutput: 9\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": "3"} +{"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: 6\n\nInput: 41\nOutput: 3\n\nInput: 45\nOutput: 1\n\nInput: 87397\nOutput: 6\n\nInput: 242\nOutput: 2\n\nInput: 1\nOutput: 0\n\nInput: 9935\nOutput: 6\n\nInput: 21395\nOutput: 8\n\nInput: 2\nOutput: 0\n\nInput: 2679\nOutput: 7\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": "2"} +{"instruction": "Based on the input–output examples below, infer the rule implemented by function p. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 238\n\nInput: 41\nOutput: 14\n\nInput: 45\nOutput: 45\n\nInput: 87397\nOutput: 37789\n\nInput: 242\nOutput: 224\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 3599\n\nInput: 21395\nOutput: 12359\n\nInput: 2\nOutput: 2\n\nInput: 2679\nOutput: 2679\n\nQuestion:\nWhat is the output of p(4696)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "4669"} +{"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: 3\n\nInput: 41\nOutput: 4\n\nInput: 45\nOutput: 4\n\nInput: 87397\nOutput: 8\n\nInput: 242\nOutput: 2\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 9\n\nInput: 21395\nOutput: 2\n\nInput: 2\nOutput: 2\n\nInput: 2679\nOutput: 2\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": "5"} +{"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: 3\n\nInput: 41\nOutput: 4\n\nInput: 45\nOutput: 4\n\nInput: 87397\nOutput: 8\n\nInput: 242\nOutput: 2\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 9\n\nInput: 21395\nOutput: 2\n\nInput: 2\nOutput: 2\n\nInput: 2679\nOutput: 2\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": "4"} +{"instruction": "Based on the input–output examples below, infer the rule implemented by function n. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 4\n\nInput: 41\nOutput: 5\n\nInput: 45\nOutput: 9\n\nInput: 87397\nOutput: 7\n\nInput: 242\nOutput: 8\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 8\n\nInput: 21395\nOutput: 2\n\nInput: 2\nOutput: 2\n\nInput: 2679\nOutput: 6\n\nQuestion:\nWhat is the output of n(11536)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "7"} +{"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: 6\n\nInput: 41\nOutput: 3\n\nInput: 45\nOutput: 1\n\nInput: 87397\nOutput: 6\n\nInput: 242\nOutput: 2\n\nInput: 1\nOutput: 0\n\nInput: 9935\nOutput: 6\n\nInput: 21395\nOutput: 8\n\nInput: 2\nOutput: 0\n\nInput: 2679\nOutput: 7\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": "8"} +{"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: 8\n\nInput: 41\nOutput: 1\n\nInput: 45\nOutput: 5\n\nInput: 87397\nOutput: 7\n\nInput: 242\nOutput: 2\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 5\n\nInput: 21395\nOutput: 5\n\nInput: 2\nOutput: 2\n\nInput: 2679\nOutput: 9\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": "9"} +{"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: 8\n\nInput: 41\nOutput: 4\n\nInput: 45\nOutput: 5\n\nInput: 87397\nOutput: 9\n\nInput: 242\nOutput: 4\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 9\n\nInput: 21395\nOutput: 9\n\nInput: 2\nOutput: 2\n\nInput: 2679\nOutput: 9\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": "9"} +{"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: 8\n\nInput: 41\nOutput: 4\n\nInput: 45\nOutput: 5\n\nInput: 87397\nOutput: 9\n\nInput: 242\nOutput: 4\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 9\n\nInput: 21395\nOutput: 9\n\nInput: 2\nOutput: 2\n\nInput: 2679\nOutput: 9\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": "8"} +{"instruction": "Based on the input–output examples below, infer the rule implemented by function r. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 0\n\nInput: 41\nOutput: 0\n\nInput: 45\nOutput: 0\n\nInput: 87397\nOutput: 0\n\nInput: 242\nOutput: 0\n\nInput: 1\nOutput: 0\n\nInput: 9935\nOutput: 0\n\nInput: 21395\nOutput: 0\n\nInput: 2\nOutput: 0\n\nInput: 2679\nOutput: 0\n\nQuestion:\nWhat is the output of r(52858)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "0"} +{"instruction": "Based on the input–output examples below, infer the rule implemented by function m. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 3\n\nInput: 41\nOutput: 2\n\nInput: 45\nOutput: 2\n\nInput: 87397\nOutput: 4\n\nInput: 242\nOutput: 2\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 3\n\nInput: 21395\nOutput: 5\n\nInput: 2\nOutput: 1\n\nInput: 2679\nOutput: 4\n\nQuestion:\nWhat is the output of m(85638)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "4"} +{"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: 3\n\nInput: 41\nOutput: 2\n\nInput: 45\nOutput: 2\n\nInput: 87397\nOutput: 5\n\nInput: 242\nOutput: 3\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 4\n\nInput: 21395\nOutput: 5\n\nInput: 2\nOutput: 1\n\nInput: 2679\nOutput: 4\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": "5"} +{"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: 6\n\nInput: 41\nOutput: 3\n\nInput: 45\nOutput: 1\n\nInput: 87397\nOutput: 6\n\nInput: 242\nOutput: 2\n\nInput: 1\nOutput: 0\n\nInput: 9935\nOutput: 6\n\nInput: 21395\nOutput: 8\n\nInput: 2\nOutput: 0\n\nInput: 2679\nOutput: 7\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": "7"} +{"instruction": "Based on the input–output examples below, infer the rule implemented by function l. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 1\n\nInput: 41\nOutput: 1\n\nInput: 45\nOutput: 1\n\nInput: 87397\nOutput: 4\n\nInput: 242\nOutput: 0\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 4\n\nInput: 21395\nOutput: 4\n\nInput: 2\nOutput: 0\n\nInput: 2679\nOutput: 2\n\nQuestion:\nWhat is the output of l(4696)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "1"} +{"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: 3\n\nInput: 41\nOutput: 4\n\nInput: 45\nOutput: 4\n\nInput: 87397\nOutput: 8\n\nInput: 242\nOutput: 2\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 9\n\nInput: 21395\nOutput: 2\n\nInput: 2\nOutput: 2\n\nInput: 2679\nOutput: 2\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": "6"} +{"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: 2\n\nInput: 41\nOutput: 1\n\nInput: 45\nOutput: 4\n\nInput: 87397\nOutput: 3\n\nInput: 242\nOutput: 2\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 3\n\nInput: 21395\nOutput: 1\n\nInput: 2\nOutput: 2\n\nInput: 2679\nOutput: 2\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": "5"} +{"instruction": "Based on the input–output examples below, infer the rule implemented by function o. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 77\n\nInput: 41\nOutput: 17\n\nInput: 45\nOutput: 41\n\nInput: 87397\nOutput: 252\n\nInput: 242\nOutput: 24\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 196\n\nInput: 21395\nOutput: 120\n\nInput: 2\nOutput: 4\n\nInput: 2679\nOutput: 170\n\nQuestion:\nWhat is the output of o(58598)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "259"} +{"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: 6\n\nInput: 41\nOutput: 3\n\nInput: 45\nOutput: 1\n\nInput: 87397\nOutput: 6\n\nInput: 242\nOutput: 2\n\nInput: 1\nOutput: 0\n\nInput: 9935\nOutput: 6\n\nInput: 21395\nOutput: 8\n\nInput: 2\nOutput: 0\n\nInput: 2679\nOutput: 7\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": "7"} +{"instruction": "Based on the input–output examples below, infer the rule implemented by function o. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 77\n\nInput: 41\nOutput: 17\n\nInput: 45\nOutput: 41\n\nInput: 87397\nOutput: 252\n\nInput: 242\nOutput: 24\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 196\n\nInput: 21395\nOutput: 120\n\nInput: 2\nOutput: 4\n\nInput: 2679\nOutput: 170\n\nQuestion:\nWhat is the output of o(6599)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "223"} +{"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: 48\n\nInput: 41\nOutput: 4\n\nInput: 45\nOutput: 20\n\nInput: 87397\nOutput: 10584\n\nInput: 242\nOutput: 16\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 1215\n\nInput: 21395\nOutput: 270\n\nInput: 2\nOutput: 2\n\nInput: 2679\nOutput: 756\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": "168"} +{"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: 8\n\nInput: 41\nOutput: 1\n\nInput: 45\nOutput: 5\n\nInput: 87397\nOutput: 7\n\nInput: 242\nOutput: 2\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 5\n\nInput: 21395\nOutput: 5\n\nInput: 2\nOutput: 2\n\nInput: 2679\nOutput: 9\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": "3"} +{"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: 13\n\nInput: 41\nOutput: 5\n\nInput: 45\nOutput: 9\n\nInput: 87397\nOutput: 34\n\nInput: 242\nOutput: 8\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 26\n\nInput: 21395\nOutput: 20\n\nInput: 2\nOutput: 2\n\nInput: 2679\nOutput: 24\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": "26"} +{"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: 8\n\nInput: 41\nOutput: 4\n\nInput: 45\nOutput: 5\n\nInput: 87397\nOutput: 9\n\nInput: 242\nOutput: 4\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 9\n\nInput: 21395\nOutput: 9\n\nInput: 2\nOutput: 2\n\nInput: 2679\nOutput: 9\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": "8"} +{"instruction": "Based on the input–output examples below, infer the rule implemented by function m. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 3\n\nInput: 41\nOutput: 2\n\nInput: 45\nOutput: 2\n\nInput: 87397\nOutput: 4\n\nInput: 242\nOutput: 2\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 3\n\nInput: 21395\nOutput: 5\n\nInput: 2\nOutput: 1\n\nInput: 2679\nOutput: 4\n\nQuestion:\nWhat is the output of m(58733)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "4"} +{"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: 6\n\nInput: 41\nOutput: 3\n\nInput: 45\nOutput: 1\n\nInput: 87397\nOutput: 6\n\nInput: 242\nOutput: 2\n\nInput: 1\nOutput: 0\n\nInput: 9935\nOutput: 6\n\nInput: 21395\nOutput: 8\n\nInput: 2\nOutput: 0\n\nInput: 2679\nOutput: 7\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": "3"} +{"instruction": "Based on the input–output examples below, infer the rule implemented by function o. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 77\n\nInput: 41\nOutput: 17\n\nInput: 45\nOutput: 41\n\nInput: 87397\nOutput: 252\n\nInput: 242\nOutput: 24\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 196\n\nInput: 21395\nOutput: 120\n\nInput: 2\nOutput: 4\n\nInput: 2679\nOutput: 170\n\nQuestion:\nWhat is the output of o(73024)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "78"} +{"instruction": "Based on the input–output examples below, infer the rule implemented by function s. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 26\n\nInput: 41\nOutput: 10\n\nInput: 45\nOutput: 18\n\nInput: 87397\nOutput: 68\n\nInput: 242\nOutput: 16\n\nInput: 1\nOutput: 2\n\nInput: 9935\nOutput: 52\n\nInput: 21395\nOutput: 40\n\nInput: 2\nOutput: 4\n\nInput: 2679\nOutput: 48\n\nQuestion:\nWhat is the output of s(85638)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "60"} +{"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: 8\n\nInput: 41\nOutput: 4\n\nInput: 45\nOutput: 5\n\nInput: 87397\nOutput: 9\n\nInput: 242\nOutput: 4\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 9\n\nInput: 21395\nOutput: 9\n\nInput: 2\nOutput: 2\n\nInput: 2679\nOutput: 9\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": "3"} +{"instruction": "Based on the input–output examples below, infer the rule implemented by function s. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 26\n\nInput: 41\nOutput: 10\n\nInput: 45\nOutput: 18\n\nInput: 87397\nOutput: 68\n\nInput: 242\nOutput: 16\n\nInput: 1\nOutput: 2\n\nInput: 9935\nOutput: 52\n\nInput: 21395\nOutput: 40\n\nInput: 2\nOutput: 4\n\nInput: 2679\nOutput: 48\n\nQuestion:\nWhat is the output of s(75108)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "42"} +{"instruction": "Based on the input–output examples below, infer the rule implemented by function l. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 1\n\nInput: 41\nOutput: 1\n\nInput: 45\nOutput: 1\n\nInput: 87397\nOutput: 4\n\nInput: 242\nOutput: 0\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 4\n\nInput: 21395\nOutput: 4\n\nInput: 2\nOutput: 0\n\nInput: 2679\nOutput: 2\n\nQuestion:\nWhat is the output of l(54046)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "1"} +{"instruction": "Based on the input–output examples below, infer the rule implemented by function n. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 4\n\nInput: 41\nOutput: 5\n\nInput: 45\nOutput: 9\n\nInput: 87397\nOutput: 7\n\nInput: 242\nOutput: 8\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 8\n\nInput: 21395\nOutput: 2\n\nInput: 2\nOutput: 2\n\nInput: 2679\nOutput: 6\n\nQuestion:\nWhat is the output of n(58220)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "8"} +{"instruction": "Based on the input–output examples below, infer the rule implemented by function q. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 832\n\nInput: 41\nOutput: 41\n\nInput: 45\nOutput: 54\n\nInput: 87397\nOutput: 98773\n\nInput: 242\nOutput: 422\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 9953\n\nInput: 21395\nOutput: 95321\n\nInput: 2\nOutput: 2\n\nInput: 2679\nOutput: 9762\n\nQuestion:\nWhat is the output of q(29190)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "99210"} +{"instruction": "Based on the input–output examples below, infer the rule implemented by function q. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 832\n\nInput: 41\nOutput: 41\n\nInput: 45\nOutput: 54\n\nInput: 87397\nOutput: 98773\n\nInput: 242\nOutput: 422\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 9953\n\nInput: 21395\nOutput: 95321\n\nInput: 2\nOutput: 2\n\nInput: 2679\nOutput: 9762\n\nQuestion:\nWhat is the output of q(58598)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "98855"} +{"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: 6\n\nInput: 41\nOutput: 3\n\nInput: 45\nOutput: 1\n\nInput: 87397\nOutput: 6\n\nInput: 242\nOutput: 2\n\nInput: 1\nOutput: 0\n\nInput: 9935\nOutput: 6\n\nInput: 21395\nOutput: 8\n\nInput: 2\nOutput: 0\n\nInput: 2679\nOutput: 7\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": "7"} +{"instruction": "Based on the input–output examples below, infer the rule implemented by function n. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 4\n\nInput: 41\nOutput: 5\n\nInput: 45\nOutput: 9\n\nInput: 87397\nOutput: 7\n\nInput: 242\nOutput: 8\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 8\n\nInput: 21395\nOutput: 2\n\nInput: 2\nOutput: 2\n\nInput: 2679\nOutput: 6\n\nQuestion:\nWhat is the output of n(2329)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "7"} +{"instruction": "Based on the input–output examples below, infer the rule implemented by function i. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 823\n\nInput: 41\nOutput: 14\n\nInput: 45\nOutput: 54\n\nInput: 87397\nOutput: 79378\n\nInput: 242\nOutput: 242\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 5399\n\nInput: 21395\nOutput: 59312\n\nInput: 2\nOutput: 2\n\nInput: 2679\nOutput: 9762\n\nQuestion:\nWhat is the output of i(97679)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "97679"} +{"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: 3\n\nInput: 41\nOutput: 4\n\nInput: 45\nOutput: 4\n\nInput: 87397\nOutput: 8\n\nInput: 242\nOutput: 2\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 9\n\nInput: 21395\nOutput: 2\n\nInput: 2\nOutput: 2\n\nInput: 2679\nOutput: 2\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": "6"} +{"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: 13\n\nInput: 41\nOutput: 5\n\nInput: 45\nOutput: 9\n\nInput: 87397\nOutput: 34\n\nInput: 242\nOutput: 8\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 26\n\nInput: 21395\nOutput: 20\n\nInput: 2\nOutput: 2\n\nInput: 2679\nOutput: 24\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": "19"} +{"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: 13\n\nInput: 41\nOutput: 5\n\nInput: 45\nOutput: 9\n\nInput: 87397\nOutput: 34\n\nInput: 242\nOutput: 8\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 26\n\nInput: 21395\nOutput: 20\n\nInput: 2\nOutput: 2\n\nInput: 2679\nOutput: 24\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": "20"} +{"instruction": "Based on the input–output examples below, infer the rule implemented by function r. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 0\n\nInput: 41\nOutput: 0\n\nInput: 45\nOutput: 0\n\nInput: 87397\nOutput: 0\n\nInput: 242\nOutput: 0\n\nInput: 1\nOutput: 0\n\nInput: 9935\nOutput: 0\n\nInput: 21395\nOutput: 0\n\nInput: 2\nOutput: 0\n\nInput: 2679\nOutput: 0\n\nQuestion:\nWhat is the output of r(54046)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "1"} +{"instruction": "Based on the input–output examples below, infer the rule implemented by function j. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 11\n\nInput: 41\nOutput: 5\n\nInput: 45\nOutput: 9\n\nInput: 87397\nOutput: 15\n\nInput: 242\nOutput: 4\n\nInput: 1\nOutput: 2\n\nInput: 9935\nOutput: 14\n\nInput: 21395\nOutput: 7\n\nInput: 2\nOutput: 4\n\nInput: 2679\nOutput: 11\n\nQuestion:\nWhat is the output of j(30801)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "4"} +{"instruction": "Based on the input–output examples below, infer the rule implemented by function p. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 238\n\nInput: 41\nOutput: 14\n\nInput: 45\nOutput: 45\n\nInput: 87397\nOutput: 37789\n\nInput: 242\nOutput: 224\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 3599\n\nInput: 21395\nOutput: 12359\n\nInput: 2\nOutput: 2\n\nInput: 2679\nOutput: 2679\n\nQuestion:\nWhat is the output of p(30801)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "138"} +{"instruction": "Based on the input–output examples below, infer the rule implemented by function r. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 0\n\nInput: 41\nOutput: 0\n\nInput: 45\nOutput: 0\n\nInput: 87397\nOutput: 0\n\nInput: 242\nOutput: 0\n\nInput: 1\nOutput: 0\n\nInput: 9935\nOutput: 0\n\nInput: 21395\nOutput: 0\n\nInput: 2\nOutput: 0\n\nInput: 2679\nOutput: 0\n\nQuestion:\nWhat is the output of r(15559)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "0"} +{"instruction": "Based on the input–output examples below, infer the rule implemented by function n. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 4\n\nInput: 41\nOutput: 5\n\nInput: 45\nOutput: 9\n\nInput: 87397\nOutput: 7\n\nInput: 242\nOutput: 8\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 8\n\nInput: 21395\nOutput: 2\n\nInput: 2\nOutput: 2\n\nInput: 2679\nOutput: 6\n\nQuestion:\nWhat is the output of n(6599)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "2"} +{"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: 8\n\nInput: 41\nOutput: 4\n\nInput: 45\nOutput: 5\n\nInput: 87397\nOutput: 9\n\nInput: 242\nOutput: 4\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 9\n\nInput: 21395\nOutput: 9\n\nInput: 2\nOutput: 2\n\nInput: 2679\nOutput: 9\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": "8"} +{"instruction": "Based on the input–output examples below, infer the rule implemented by function r. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 0\n\nInput: 41\nOutput: 0\n\nInput: 45\nOutput: 0\n\nInput: 87397\nOutput: 0\n\nInput: 242\nOutput: 0\n\nInput: 1\nOutput: 0\n\nInput: 9935\nOutput: 0\n\nInput: 21395\nOutput: 0\n\nInput: 2\nOutput: 0\n\nInput: 2679\nOutput: 0\n\nQuestion:\nWhat is the output of r(11536)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "0"} +{"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: 48\n\nInput: 41\nOutput: 4\n\nInput: 45\nOutput: 20\n\nInput: 87397\nOutput: 10584\n\nInput: 242\nOutput: 16\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 1215\n\nInput: 21395\nOutput: 270\n\nInput: 2\nOutput: 2\n\nInput: 2679\nOutput: 756\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": "90"} +{"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: 8\n\nInput: 41\nOutput: 4\n\nInput: 45\nOutput: 5\n\nInput: 87397\nOutput: 9\n\nInput: 242\nOutput: 4\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 9\n\nInput: 21395\nOutput: 9\n\nInput: 2\nOutput: 2\n\nInput: 2679\nOutput: 9\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": "6"} +{"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: 6\n\nInput: 41\nOutput: 3\n\nInput: 45\nOutput: 1\n\nInput: 87397\nOutput: 6\n\nInput: 242\nOutput: 2\n\nInput: 1\nOutput: 0\n\nInput: 9935\nOutput: 6\n\nInput: 21395\nOutput: 8\n\nInput: 2\nOutput: 0\n\nInput: 2679\nOutput: 7\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": "7"} +{"instruction": "Based on the input–output examples below, infer the rule implemented by function k. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 2\n\nInput: 41\nOutput: 1\n\nInput: 45\nOutput: 1\n\nInput: 87397\nOutput: 1\n\nInput: 242\nOutput: 3\n\nInput: 1\nOutput: 0\n\nInput: 9935\nOutput: 0\n\nInput: 21395\nOutput: 1\n\nInput: 2\nOutput: 1\n\nInput: 2679\nOutput: 2\n\nQuestion:\nWhat is the output of k(60174)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "3"} +{"instruction": "Based on the input–output examples below, infer the rule implemented by function i. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 823\n\nInput: 41\nOutput: 14\n\nInput: 45\nOutput: 54\n\nInput: 87397\nOutput: 79378\n\nInput: 242\nOutput: 242\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 5399\n\nInput: 21395\nOutput: 59312\n\nInput: 2\nOutput: 2\n\nInput: 2679\nOutput: 9762\n\nQuestion:\nWhat is the output of i(29190)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "9192"} +{"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: 6\n\nInput: 41\nOutput: 3\n\nInput: 45\nOutput: 1\n\nInput: 87397\nOutput: 6\n\nInput: 242\nOutput: 2\n\nInput: 1\nOutput: 0\n\nInput: 9935\nOutput: 6\n\nInput: 21395\nOutput: 8\n\nInput: 2\nOutput: 0\n\nInput: 2679\nOutput: 7\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": "9"} +{"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: 8\n\nInput: 41\nOutput: 4\n\nInput: 45\nOutput: 5\n\nInput: 87397\nOutput: 9\n\nInput: 242\nOutput: 4\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 9\n\nInput: 21395\nOutput: 9\n\nInput: 2\nOutput: 2\n\nInput: 2679\nOutput: 9\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": "9"} +{"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: 2\n\nInput: 41\nOutput: 1\n\nInput: 45\nOutput: 4\n\nInput: 87397\nOutput: 3\n\nInput: 242\nOutput: 2\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 3\n\nInput: 21395\nOutput: 1\n\nInput: 2\nOutput: 2\n\nInput: 2679\nOutput: 2\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": "1"} +{"instruction": "Based on the input–output examples below, infer the rule implemented by function q. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 832\n\nInput: 41\nOutput: 41\n\nInput: 45\nOutput: 54\n\nInput: 87397\nOutput: 98773\n\nInput: 242\nOutput: 422\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 9953\n\nInput: 21395\nOutput: 95321\n\nInput: 2\nOutput: 2\n\nInput: 2679\nOutput: 9762\n\nQuestion:\nWhat is the output of q(10332)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "33210"} +{"instruction": "Based on the input–output examples below, infer the rule implemented by function p. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 238\n\nInput: 41\nOutput: 14\n\nInput: 45\nOutput: 45\n\nInput: 87397\nOutput: 37789\n\nInput: 242\nOutput: 224\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 3599\n\nInput: 21395\nOutput: 12359\n\nInput: 2\nOutput: 2\n\nInput: 2679\nOutput: 2679\n\nQuestion:\nWhat is the output of p(10332)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "1233"} +{"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: 8\n\nInput: 41\nOutput: 1\n\nInput: 45\nOutput: 5\n\nInput: 87397\nOutput: 7\n\nInput: 242\nOutput: 2\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 5\n\nInput: 21395\nOutput: 5\n\nInput: 2\nOutput: 2\n\nInput: 2679\nOutput: 9\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": "9"} +{"instruction": "Based on the input–output examples below, infer the rule implemented by function j. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 11\n\nInput: 41\nOutput: 5\n\nInput: 45\nOutput: 9\n\nInput: 87397\nOutput: 15\n\nInput: 242\nOutput: 4\n\nInput: 1\nOutput: 2\n\nInput: 9935\nOutput: 14\n\nInput: 21395\nOutput: 7\n\nInput: 2\nOutput: 4\n\nInput: 2679\nOutput: 11\n\nQuestion:\nWhat is the output of j(52879)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "14"} +{"instruction": "Based on the input–output examples below, infer the rule implemented by function o. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 77\n\nInput: 41\nOutput: 17\n\nInput: 45\nOutput: 41\n\nInput: 87397\nOutput: 252\n\nInput: 242\nOutput: 24\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 196\n\nInput: 21395\nOutput: 120\n\nInput: 2\nOutput: 4\n\nInput: 2679\nOutput: 170\n\nQuestion:\nWhat is the output of o(60174)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "102"} +{"instruction": "Based on the input–output examples below, infer the rule implemented by function j. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 11\n\nInput: 41\nOutput: 5\n\nInput: 45\nOutput: 9\n\nInput: 87397\nOutput: 15\n\nInput: 242\nOutput: 4\n\nInput: 1\nOutput: 2\n\nInput: 9935\nOutput: 14\n\nInput: 21395\nOutput: 7\n\nInput: 2\nOutput: 4\n\nInput: 2679\nOutput: 11\n\nQuestion:\nWhat is the output of j(60174)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "10"} +{"instruction": "Based on the input–output examples below, infer the rule implemented by function o. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 77\n\nInput: 41\nOutput: 17\n\nInput: 45\nOutput: 41\n\nInput: 87397\nOutput: 252\n\nInput: 242\nOutput: 24\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 196\n\nInput: 21395\nOutput: 120\n\nInput: 2\nOutput: 4\n\nInput: 2679\nOutput: 170\n\nQuestion:\nWhat is the output of o(85638)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "198"} +{"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: 8\n\nInput: 41\nOutput: 4\n\nInput: 45\nOutput: 5\n\nInput: 87397\nOutput: 9\n\nInput: 242\nOutput: 4\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 9\n\nInput: 21395\nOutput: 9\n\nInput: 2\nOutput: 2\n\nInput: 2679\nOutput: 9\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": "5"} +{"instruction": "Based on the input–output examples below, infer the rule implemented by function m. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 3\n\nInput: 41\nOutput: 2\n\nInput: 45\nOutput: 2\n\nInput: 87397\nOutput: 4\n\nInput: 242\nOutput: 2\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 3\n\nInput: 21395\nOutput: 5\n\nInput: 2\nOutput: 1\n\nInput: 2679\nOutput: 4\n\nQuestion:\nWhat is the output of m(49628)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "5"} +{"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: 8\n\nInput: 41\nOutput: 1\n\nInput: 45\nOutput: 5\n\nInput: 87397\nOutput: 7\n\nInput: 242\nOutput: 2\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 5\n\nInput: 21395\nOutput: 5\n\nInput: 2\nOutput: 2\n\nInput: 2679\nOutput: 9\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": "1"} +{"instruction": "Based on the input–output examples below, infer the rule implemented by function p. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 238\n\nInput: 41\nOutput: 14\n\nInput: 45\nOutput: 45\n\nInput: 87397\nOutput: 37789\n\nInput: 242\nOutput: 224\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 3599\n\nInput: 21395\nOutput: 12359\n\nInput: 2\nOutput: 2\n\nInput: 2679\nOutput: 2679\n\nQuestion:\nWhat is the output of p(75108)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "1578"} +{"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: 8\n\nInput: 41\nOutput: 1\n\nInput: 45\nOutput: 5\n\nInput: 87397\nOutput: 7\n\nInput: 242\nOutput: 2\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 5\n\nInput: 21395\nOutput: 5\n\nInput: 2\nOutput: 2\n\nInput: 2679\nOutput: 9\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": "8"} +{"instruction": "Based on the input–output examples below, infer the rule implemented by function m. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 3\n\nInput: 41\nOutput: 2\n\nInput: 45\nOutput: 2\n\nInput: 87397\nOutput: 4\n\nInput: 242\nOutput: 2\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 3\n\nInput: 21395\nOutput: 5\n\nInput: 2\nOutput: 1\n\nInput: 2679\nOutput: 4\n\nQuestion:\nWhat is the output of m(97679)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "3"} +{"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: 48\n\nInput: 41\nOutput: 4\n\nInput: 45\nOutput: 20\n\nInput: 87397\nOutput: 10584\n\nInput: 242\nOutput: 16\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 1215\n\nInput: 21395\nOutput: 270\n\nInput: 2\nOutput: 2\n\nInput: 2679\nOutput: 756\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": "23814"} +{"instruction": "Based on the input–output examples below, infer the rule implemented by function p. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 238\n\nInput: 41\nOutput: 14\n\nInput: 45\nOutput: 45\n\nInput: 87397\nOutput: 37789\n\nInput: 242\nOutput: 224\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 3599\n\nInput: 21395\nOutput: 12359\n\nInput: 2\nOutput: 2\n\nInput: 2679\nOutput: 2679\n\nQuestion:\nWhat is the output of p(54046)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "4456"} +{"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: 3\n\nInput: 41\nOutput: 2\n\nInput: 45\nOutput: 2\n\nInput: 87397\nOutput: 5\n\nInput: 242\nOutput: 3\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 4\n\nInput: 21395\nOutput: 5\n\nInput: 2\nOutput: 1\n\nInput: 2679\nOutput: 4\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": "5"} +{"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: 2\n\nInput: 41\nOutput: 1\n\nInput: 45\nOutput: 4\n\nInput: 87397\nOutput: 3\n\nInput: 242\nOutput: 2\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 3\n\nInput: 21395\nOutput: 1\n\nInput: 2\nOutput: 2\n\nInput: 2679\nOutput: 2\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": "3"} +{"instruction": "Based on the input–output examples below, infer the rule implemented by function n. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 4\n\nInput: 41\nOutput: 5\n\nInput: 45\nOutput: 9\n\nInput: 87397\nOutput: 7\n\nInput: 242\nOutput: 8\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 8\n\nInput: 21395\nOutput: 2\n\nInput: 2\nOutput: 2\n\nInput: 2679\nOutput: 6\n\nQuestion:\nWhat is the output of n(49628)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "2"} +{"instruction": "Based on the input–output examples below, infer the rule implemented by function t. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 24\n\nInput: 41\nOutput: 4\n\nInput: 45\nOutput: 20\n\nInput: 87397\nOutput: 56\n\nInput: 242\nOutput: 4\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 45\n\nInput: 21395\nOutput: 10\n\nInput: 2\nOutput: 4\n\nInput: 2679\nOutput: 18\n\nQuestion:\nWhat is the output of t(52858)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "40"} +{"instruction": "Based on the input–output examples below, infer the rule implemented by function r. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 0\n\nInput: 41\nOutput: 0\n\nInput: 45\nOutput: 0\n\nInput: 87397\nOutput: 0\n\nInput: 242\nOutput: 0\n\nInput: 1\nOutput: 0\n\nInput: 9935\nOutput: 0\n\nInput: 21395\nOutput: 0\n\nInput: 2\nOutput: 0\n\nInput: 2679\nOutput: 0\n\nQuestion:\nWhat is the output of r(85638)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "0"} +{"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: 8\n\nInput: 41\nOutput: 1\n\nInput: 45\nOutput: 5\n\nInput: 87397\nOutput: 7\n\nInput: 242\nOutput: 2\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 5\n\nInput: 21395\nOutput: 5\n\nInput: 2\nOutput: 2\n\nInput: 2679\nOutput: 9\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": "8"} +{"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: 48\n\nInput: 41\nOutput: 4\n\nInput: 45\nOutput: 20\n\nInput: 87397\nOutput: 10584\n\nInput: 242\nOutput: 16\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 1215\n\nInput: 21395\nOutput: 270\n\nInput: 2\nOutput: 2\n\nInput: 2679\nOutput: 756\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": "810"} +{"instruction": "Based on the input–output examples below, infer the rule implemented by function j. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 11\n\nInput: 41\nOutput: 5\n\nInput: 45\nOutput: 9\n\nInput: 87397\nOutput: 15\n\nInput: 242\nOutput: 4\n\nInput: 1\nOutput: 2\n\nInput: 9935\nOutput: 14\n\nInput: 21395\nOutput: 7\n\nInput: 2\nOutput: 4\n\nInput: 2679\nOutput: 11\n\nQuestion:\nWhat is the output of j(10332)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "3"} +{"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: 13\n\nInput: 41\nOutput: 5\n\nInput: 45\nOutput: 9\n\nInput: 87397\nOutput: 34\n\nInput: 242\nOutput: 8\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 26\n\nInput: 21395\nOutput: 20\n\nInput: 2\nOutput: 2\n\nInput: 2679\nOutput: 24\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": "35"} +{"instruction": "Based on the input–output examples below, infer the rule implemented by function k. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 2\n\nInput: 41\nOutput: 1\n\nInput: 45\nOutput: 1\n\nInput: 87397\nOutput: 1\n\nInput: 242\nOutput: 3\n\nInput: 1\nOutput: 0\n\nInput: 9935\nOutput: 0\n\nInput: 21395\nOutput: 1\n\nInput: 2\nOutput: 1\n\nInput: 2679\nOutput: 2\n\nQuestion:\nWhat is the output of k(54046)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "4"} +{"instruction": "Based on the input–output examples below, infer the rule implemented by function t. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 24\n\nInput: 41\nOutput: 4\n\nInput: 45\nOutput: 20\n\nInput: 87397\nOutput: 56\n\nInput: 242\nOutput: 4\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 45\n\nInput: 21395\nOutput: 10\n\nInput: 2\nOutput: 4\n\nInput: 2679\nOutput: 18\n\nQuestion:\nWhat is the output of t(13453)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "3"} +{"instruction": "Based on the input–output examples below, infer the rule implemented by function j. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 11\n\nInput: 41\nOutput: 5\n\nInput: 45\nOutput: 9\n\nInput: 87397\nOutput: 15\n\nInput: 242\nOutput: 4\n\nInput: 1\nOutput: 2\n\nInput: 9935\nOutput: 14\n\nInput: 21395\nOutput: 7\n\nInput: 2\nOutput: 4\n\nInput: 2679\nOutput: 11\n\nQuestion:\nWhat is the output of j(58598)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "13"} +{"instruction": "Based on the input–output examples below, infer the rule implemented by function k. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 2\n\nInput: 41\nOutput: 1\n\nInput: 45\nOutput: 1\n\nInput: 87397\nOutput: 1\n\nInput: 242\nOutput: 3\n\nInput: 1\nOutput: 0\n\nInput: 9935\nOutput: 0\n\nInput: 21395\nOutput: 1\n\nInput: 2\nOutput: 1\n\nInput: 2679\nOutput: 2\n\nQuestion:\nWhat is the output of k(72154)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "2"} +{"instruction": "Based on the input–output examples below, infer the rule implemented by function q. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 832\n\nInput: 41\nOutput: 41\n\nInput: 45\nOutput: 54\n\nInput: 87397\nOutput: 98773\n\nInput: 242\nOutput: 422\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 9953\n\nInput: 21395\nOutput: 95321\n\nInput: 2\nOutput: 2\n\nInput: 2679\nOutput: 9762\n\nQuestion:\nWhat is the output of q(11536)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "65311"} +{"instruction": "Based on the input–output examples below, infer the rule implemented by function l. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 1\n\nInput: 41\nOutput: 1\n\nInput: 45\nOutput: 1\n\nInput: 87397\nOutput: 4\n\nInput: 242\nOutput: 0\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 4\n\nInput: 21395\nOutput: 4\n\nInput: 2\nOutput: 0\n\nInput: 2679\nOutput: 2\n\nQuestion:\nWhat is the output of l(41426)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "1"} +{"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: 6\n\nInput: 41\nOutput: 3\n\nInput: 45\nOutput: 1\n\nInput: 87397\nOutput: 6\n\nInput: 242\nOutput: 2\n\nInput: 1\nOutput: 0\n\nInput: 9935\nOutput: 6\n\nInput: 21395\nOutput: 8\n\nInput: 2\nOutput: 0\n\nInput: 2679\nOutput: 7\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": "7"} +{"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: 3\n\nInput: 41\nOutput: 4\n\nInput: 45\nOutput: 4\n\nInput: 87397\nOutput: 8\n\nInput: 242\nOutput: 2\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 9\n\nInput: 21395\nOutput: 2\n\nInput: 2\nOutput: 2\n\nInput: 2679\nOutput: 2\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": "2"} +{"instruction": "Based on the input–output examples below, infer the rule implemented by function m. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 3\n\nInput: 41\nOutput: 2\n\nInput: 45\nOutput: 2\n\nInput: 87397\nOutput: 4\n\nInput: 242\nOutput: 2\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 3\n\nInput: 21395\nOutput: 5\n\nInput: 2\nOutput: 1\n\nInput: 2679\nOutput: 4\n\nQuestion:\nWhat is the output of m(73024)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "5"} +{"instruction": "Based on the input–output examples below, infer the rule implemented by function m. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 3\n\nInput: 41\nOutput: 2\n\nInput: 45\nOutput: 2\n\nInput: 87397\nOutput: 4\n\nInput: 242\nOutput: 2\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 3\n\nInput: 21395\nOutput: 5\n\nInput: 2\nOutput: 1\n\nInput: 2679\nOutput: 4\n\nQuestion:\nWhat is the output of m(4696)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "3"} +{"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: 13\n\nInput: 41\nOutput: 5\n\nInput: 45\nOutput: 9\n\nInput: 87397\nOutput: 34\n\nInput: 242\nOutput: 8\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 26\n\nInput: 21395\nOutput: 20\n\nInput: 2\nOutput: 2\n\nInput: 2679\nOutput: 24\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": "24"} +{"instruction": "Based on the input–output examples below, infer the rule implemented by function a. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 13\n\nInput: 41\nOutput: 5\n\nInput: 45\nOutput: 9\n\nInput: 87397\nOutput: 34\n\nInput: 242\nOutput: 8\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 26\n\nInput: 21395\nOutput: 20\n\nInput: 2\nOutput: 2\n\nInput: 2679\nOutput: 24\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": "21"} +{"instruction": "Based on the input–output examples below, infer the rule implemented by function t. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 24\n\nInput: 41\nOutput: 4\n\nInput: 45\nOutput: 20\n\nInput: 87397\nOutput: 56\n\nInput: 242\nOutput: 4\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 45\n\nInput: 21395\nOutput: 10\n\nInput: 2\nOutput: 4\n\nInput: 2679\nOutput: 18\n\nQuestion:\nWhat is the output of t(97679)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "81"} +{"instruction": "Based on the input–output examples below, infer the rule implemented by function k. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 2\n\nInput: 41\nOutput: 1\n\nInput: 45\nOutput: 1\n\nInput: 87397\nOutput: 1\n\nInput: 242\nOutput: 3\n\nInput: 1\nOutput: 0\n\nInput: 9935\nOutput: 0\n\nInput: 21395\nOutput: 1\n\nInput: 2\nOutput: 1\n\nInput: 2679\nOutput: 2\n\nQuestion:\nWhat is the output of k(97679)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "1"} +{"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: 8\n\nInput: 41\nOutput: 4\n\nInput: 45\nOutput: 5\n\nInput: 87397\nOutput: 9\n\nInput: 242\nOutput: 4\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 9\n\nInput: 21395\nOutput: 9\n\nInput: 2\nOutput: 2\n\nInput: 2679\nOutput: 9\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": "6"} +{"instruction": "Based on the input–output examples below, infer the rule implemented by function k. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 2\n\nInput: 41\nOutput: 1\n\nInput: 45\nOutput: 1\n\nInput: 87397\nOutput: 1\n\nInput: 242\nOutput: 3\n\nInput: 1\nOutput: 0\n\nInput: 9935\nOutput: 0\n\nInput: 21395\nOutput: 1\n\nInput: 2\nOutput: 1\n\nInput: 2679\nOutput: 2\n\nQuestion:\nWhat is the output of k(85638)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "3"} +{"instruction": "Based on the input–output examples below, infer the rule implemented by function m. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 3\n\nInput: 41\nOutput: 2\n\nInput: 45\nOutput: 2\n\nInput: 87397\nOutput: 4\n\nInput: 242\nOutput: 2\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 3\n\nInput: 21395\nOutput: 5\n\nInput: 2\nOutput: 1\n\nInput: 2679\nOutput: 4\n\nQuestion:\nWhat is the output of m(52858)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "3"} +{"instruction": "Based on the input–output examples below, infer the rule implemented by function o. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 77\n\nInput: 41\nOutput: 17\n\nInput: 45\nOutput: 41\n\nInput: 87397\nOutput: 252\n\nInput: 242\nOutput: 24\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 196\n\nInput: 21395\nOutput: 120\n\nInput: 2\nOutput: 4\n\nInput: 2679\nOutput: 170\n\nQuestion:\nWhat is the output of o(11536)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "72"} +{"instruction": "Based on the input–output examples below, infer the rule implemented by function s. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 26\n\nInput: 41\nOutput: 10\n\nInput: 45\nOutput: 18\n\nInput: 87397\nOutput: 68\n\nInput: 242\nOutput: 16\n\nInput: 1\nOutput: 2\n\nInput: 9935\nOutput: 52\n\nInput: 21395\nOutput: 40\n\nInput: 2\nOutput: 4\n\nInput: 2679\nOutput: 48\n\nQuestion:\nWhat is the output of s(30801)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "24"} +{"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: 3\n\nInput: 41\nOutput: 4\n\nInput: 45\nOutput: 4\n\nInput: 87397\nOutput: 8\n\nInput: 242\nOutput: 2\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 9\n\nInput: 21395\nOutput: 2\n\nInput: 2\nOutput: 2\n\nInput: 2679\nOutput: 2\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": "7"} +{"instruction": "Based on the input–output examples below, infer the rule implemented by function r. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 0\n\nInput: 41\nOutput: 0\n\nInput: 45\nOutput: 0\n\nInput: 87397\nOutput: 0\n\nInput: 242\nOutput: 0\n\nInput: 1\nOutput: 0\n\nInput: 9935\nOutput: 0\n\nInput: 21395\nOutput: 0\n\nInput: 2\nOutput: 0\n\nInput: 2679\nOutput: 0\n\nQuestion:\nWhat is the output of r(73024)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "1"} +{"instruction": "Based on the input–output examples below, infer the rule implemented by function c. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 3\n\nInput: 41\nOutput: 2\n\nInput: 45\nOutput: 2\n\nInput: 87397\nOutput: 5\n\nInput: 242\nOutput: 3\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 4\n\nInput: 21395\nOutput: 5\n\nInput: 2\nOutput: 1\n\nInput: 2679\nOutput: 4\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": "5"} +{"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: 6\n\nInput: 41\nOutput: 3\n\nInput: 45\nOutput: 1\n\nInput: 87397\nOutput: 6\n\nInput: 242\nOutput: 2\n\nInput: 1\nOutput: 0\n\nInput: 9935\nOutput: 6\n\nInput: 21395\nOutput: 8\n\nInput: 2\nOutput: 0\n\nInput: 2679\nOutput: 7\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": "5"} +{"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: 3\n\nInput: 41\nOutput: 4\n\nInput: 45\nOutput: 4\n\nInput: 87397\nOutput: 8\n\nInput: 242\nOutput: 2\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 9\n\nInput: 21395\nOutput: 2\n\nInput: 2\nOutput: 2\n\nInput: 2679\nOutput: 2\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": "5"} +{"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: 3\n\nInput: 41\nOutput: 4\n\nInput: 45\nOutput: 4\n\nInput: 87397\nOutput: 8\n\nInput: 242\nOutput: 2\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 9\n\nInput: 21395\nOutput: 2\n\nInput: 2\nOutput: 2\n\nInput: 2679\nOutput: 2\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": "1"} +{"instruction": "Based on the input–output examples below, infer the rule implemented by function q. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 832\n\nInput: 41\nOutput: 41\n\nInput: 45\nOutput: 54\n\nInput: 87397\nOutput: 98773\n\nInput: 242\nOutput: 422\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 9953\n\nInput: 21395\nOutput: 95321\n\nInput: 2\nOutput: 2\n\nInput: 2679\nOutput: 9762\n\nQuestion:\nWhat is the output of q(65333)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "65333"} +{"instruction": "Based on the input–output examples below, infer the rule implemented by function l. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 1\n\nInput: 41\nOutput: 1\n\nInput: 45\nOutput: 1\n\nInput: 87397\nOutput: 4\n\nInput: 242\nOutput: 0\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 4\n\nInput: 21395\nOutput: 4\n\nInput: 2\nOutput: 0\n\nInput: 2679\nOutput: 2\n\nQuestion:\nWhat is the output of l(52879)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "3"} +{"instruction": "Based on the input–output examples below, infer the rule implemented by function k. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 2\n\nInput: 41\nOutput: 1\n\nInput: 45\nOutput: 1\n\nInput: 87397\nOutput: 1\n\nInput: 242\nOutput: 3\n\nInput: 1\nOutput: 0\n\nInput: 9935\nOutput: 0\n\nInput: 21395\nOutput: 1\n\nInput: 2\nOutput: 1\n\nInput: 2679\nOutput: 2\n\nQuestion:\nWhat is the output of k(10332)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "2"} +{"instruction": "Based on the input–output examples below, infer the rule implemented by function s. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 26\n\nInput: 41\nOutput: 10\n\nInput: 45\nOutput: 18\n\nInput: 87397\nOutput: 68\n\nInput: 242\nOutput: 16\n\nInput: 1\nOutput: 2\n\nInput: 9935\nOutput: 52\n\nInput: 21395\nOutput: 40\n\nInput: 2\nOutput: 4\n\nInput: 2679\nOutput: 48\n\nQuestion:\nWhat is the output of s(41426)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "34"} +{"instruction": "Based on the input–output examples below, infer the rule implemented by function i. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 823\n\nInput: 41\nOutput: 14\n\nInput: 45\nOutput: 54\n\nInput: 87397\nOutput: 79378\n\nInput: 242\nOutput: 242\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 5399\n\nInput: 21395\nOutput: 59312\n\nInput: 2\nOutput: 2\n\nInput: 2679\nOutput: 9762\n\nQuestion:\nWhat is the output of i(58598)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "89585"} +{"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: 3\n\nInput: 41\nOutput: 4\n\nInput: 45\nOutput: 4\n\nInput: 87397\nOutput: 8\n\nInput: 242\nOutput: 2\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 9\n\nInput: 21395\nOutput: 2\n\nInput: 2\nOutput: 2\n\nInput: 2679\nOutput: 2\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": "6"} +{"instruction": "Based on the input–output examples below, infer the rule implemented by function r. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 0\n\nInput: 41\nOutput: 0\n\nInput: 45\nOutput: 0\n\nInput: 87397\nOutput: 0\n\nInput: 242\nOutput: 0\n\nInput: 1\nOutput: 0\n\nInput: 9935\nOutput: 0\n\nInput: 21395\nOutput: 0\n\nInput: 2\nOutput: 0\n\nInput: 2679\nOutput: 0\n\nQuestion:\nWhat is the output of r(29190)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "1"} +{"instruction": "Based on the input–output examples below, infer the rule implemented by function l. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 1\n\nInput: 41\nOutput: 1\n\nInput: 45\nOutput: 1\n\nInput: 87397\nOutput: 4\n\nInput: 242\nOutput: 0\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 4\n\nInput: 21395\nOutput: 4\n\nInput: 2\nOutput: 0\n\nInput: 2679\nOutput: 2\n\nQuestion:\nWhat is the output of l(66444)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "0"} +{"instruction": "Based on the input–output examples below, infer the rule implemented by function n. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 4\n\nInput: 41\nOutput: 5\n\nInput: 45\nOutput: 9\n\nInput: 87397\nOutput: 7\n\nInput: 242\nOutput: 8\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 8\n\nInput: 21395\nOutput: 2\n\nInput: 2\nOutput: 2\n\nInput: 2679\nOutput: 6\n\nQuestion:\nWhat is the output of n(41426)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "8"} +{"instruction": "Based on the input–output examples below, infer the rule implemented by function s. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 26\n\nInput: 41\nOutput: 10\n\nInput: 45\nOutput: 18\n\nInput: 87397\nOutput: 68\n\nInput: 242\nOutput: 16\n\nInput: 1\nOutput: 2\n\nInput: 9935\nOutput: 52\n\nInput: 21395\nOutput: 40\n\nInput: 2\nOutput: 4\n\nInput: 2679\nOutput: 48\n\nQuestion:\nWhat is the output of s(58220)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "34"} +{"instruction": "Based on the input–output examples below, infer the rule implemented by function m. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 3\n\nInput: 41\nOutput: 2\n\nInput: 45\nOutput: 2\n\nInput: 87397\nOutput: 4\n\nInput: 242\nOutput: 2\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 3\n\nInput: 21395\nOutput: 5\n\nInput: 2\nOutput: 1\n\nInput: 2679\nOutput: 4\n\nQuestion:\nWhat is the output of m(54046)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "4"} +{"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: 13\n\nInput: 41\nOutput: 5\n\nInput: 45\nOutput: 9\n\nInput: 87397\nOutput: 34\n\nInput: 242\nOutput: 8\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 26\n\nInput: 21395\nOutput: 20\n\nInput: 2\nOutput: 2\n\nInput: 2679\nOutput: 24\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": "19"} +{"instruction": "Based on the input–output examples below, infer the rule implemented by function r. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 0\n\nInput: 41\nOutput: 0\n\nInput: 45\nOutput: 0\n\nInput: 87397\nOutput: 0\n\nInput: 242\nOutput: 0\n\nInput: 1\nOutput: 0\n\nInput: 9935\nOutput: 0\n\nInput: 21395\nOutput: 0\n\nInput: 2\nOutput: 0\n\nInput: 2679\nOutput: 0\n\nQuestion:\nWhat is the output of r(49628)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "0"} +{"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: 13\n\nInput: 41\nOutput: 5\n\nInput: 45\nOutput: 9\n\nInput: 87397\nOutput: 34\n\nInput: 242\nOutput: 8\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 26\n\nInput: 21395\nOutput: 20\n\nInput: 2\nOutput: 2\n\nInput: 2679\nOutput: 24\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": "29"} +{"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: 3\n\nInput: 41\nOutput: 4\n\nInput: 45\nOutput: 4\n\nInput: 87397\nOutput: 8\n\nInput: 242\nOutput: 2\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 9\n\nInput: 21395\nOutput: 2\n\nInput: 2\nOutput: 2\n\nInput: 2679\nOutput: 2\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": "5"} +{"instruction": "Based on the input–output examples below, infer the rule implemented by function j. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 11\n\nInput: 41\nOutput: 5\n\nInput: 45\nOutput: 9\n\nInput: 87397\nOutput: 15\n\nInput: 242\nOutput: 4\n\nInput: 1\nOutput: 2\n\nInput: 9935\nOutput: 14\n\nInput: 21395\nOutput: 7\n\nInput: 2\nOutput: 4\n\nInput: 2679\nOutput: 11\n\nQuestion:\nWhat is the output of j(97679)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "18"} +{"instruction": "Based on the input–output examples below, infer the rule implemented by function l. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 1\n\nInput: 41\nOutput: 1\n\nInput: 45\nOutput: 1\n\nInput: 87397\nOutput: 4\n\nInput: 242\nOutput: 0\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 4\n\nInput: 21395\nOutput: 4\n\nInput: 2\nOutput: 0\n\nInput: 2679\nOutput: 2\n\nQuestion:\nWhat is the output of l(30801)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "2"} +{"instruction": "Based on the input–output examples below, infer the rule implemented by function l. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 1\n\nInput: 41\nOutput: 1\n\nInput: 45\nOutput: 1\n\nInput: 87397\nOutput: 4\n\nInput: 242\nOutput: 0\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 4\n\nInput: 21395\nOutput: 4\n\nInput: 2\nOutput: 0\n\nInput: 2679\nOutput: 2\n\nQuestion:\nWhat is the output of l(72154)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "3"} +{"instruction": "Based on the input–output examples below, infer the rule implemented by function n. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 4\n\nInput: 41\nOutput: 5\n\nInput: 45\nOutput: 9\n\nInput: 87397\nOutput: 7\n\nInput: 242\nOutput: 8\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 8\n\nInput: 21395\nOutput: 2\n\nInput: 2\nOutput: 2\n\nInput: 2679\nOutput: 6\n\nQuestion:\nWhat is the output of n(72154)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "1"} +{"instruction": "Based on the input–output examples below, infer the rule implemented by function m. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 3\n\nInput: 41\nOutput: 2\n\nInput: 45\nOutput: 2\n\nInput: 87397\nOutput: 4\n\nInput: 242\nOutput: 2\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 3\n\nInput: 21395\nOutput: 5\n\nInput: 2\nOutput: 1\n\nInput: 2679\nOutput: 4\n\nQuestion:\nWhat is the output of m(15559)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "3"} +{"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: 3\n\nInput: 41\nOutput: 4\n\nInput: 45\nOutput: 4\n\nInput: 87397\nOutput: 8\n\nInput: 242\nOutput: 2\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 9\n\nInput: 21395\nOutput: 2\n\nInput: 2\nOutput: 2\n\nInput: 2679\nOutput: 2\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": "7"} +{"instruction": "Based on the input–output examples below, infer the rule implemented by function i. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 823\n\nInput: 41\nOutput: 14\n\nInput: 45\nOutput: 54\n\nInput: 87397\nOutput: 79378\n\nInput: 242\nOutput: 242\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 5399\n\nInput: 21395\nOutput: 59312\n\nInput: 2\nOutput: 2\n\nInput: 2679\nOutput: 9762\n\nQuestion:\nWhat is the output of i(85638)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "83658"} +{"instruction": "Based on the input–output examples below, infer the rule implemented by function p. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 238\n\nInput: 41\nOutput: 14\n\nInput: 45\nOutput: 45\n\nInput: 87397\nOutput: 37789\n\nInput: 242\nOutput: 224\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 3599\n\nInput: 21395\nOutput: 12359\n\nInput: 2\nOutput: 2\n\nInput: 2679\nOutput: 2679\n\nQuestion:\nWhat is the output of p(60174)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "1467"} +{"instruction": "Based on the input–output examples below, infer the rule implemented by function p. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 238\n\nInput: 41\nOutput: 14\n\nInput: 45\nOutput: 45\n\nInput: 87397\nOutput: 37789\n\nInput: 242\nOutput: 224\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 3599\n\nInput: 21395\nOutput: 12359\n\nInput: 2\nOutput: 2\n\nInput: 2679\nOutput: 2679\n\nQuestion:\nWhat is the output of p(49628)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "24689"} +{"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: 6\n\nInput: 41\nOutput: 3\n\nInput: 45\nOutput: 1\n\nInput: 87397\nOutput: 6\n\nInput: 242\nOutput: 2\n\nInput: 1\nOutput: 0\n\nInput: 9935\nOutput: 6\n\nInput: 21395\nOutput: 8\n\nInput: 2\nOutput: 0\n\nInput: 2679\nOutput: 7\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": "8"} +{"instruction": "Based on the input–output examples below, infer the rule implemented by function i. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 823\n\nInput: 41\nOutput: 14\n\nInput: 45\nOutput: 54\n\nInput: 87397\nOutput: 79378\n\nInput: 242\nOutput: 242\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 5399\n\nInput: 21395\nOutput: 59312\n\nInput: 2\nOutput: 2\n\nInput: 2679\nOutput: 9762\n\nQuestion:\nWhat is the output of i(11536)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "63511"} +{"instruction": "Based on the input–output examples below, infer the rule implemented by function q. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 832\n\nInput: 41\nOutput: 41\n\nInput: 45\nOutput: 54\n\nInput: 87397\nOutput: 98773\n\nInput: 242\nOutput: 422\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 9953\n\nInput: 21395\nOutput: 95321\n\nInput: 2\nOutput: 2\n\nInput: 2679\nOutput: 9762\n\nQuestion:\nWhat is the output of q(75108)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "87510"} +{"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: 13\n\nInput: 41\nOutput: 5\n\nInput: 45\nOutput: 9\n\nInput: 87397\nOutput: 34\n\nInput: 242\nOutput: 8\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 26\n\nInput: 21395\nOutput: 20\n\nInput: 2\nOutput: 2\n\nInput: 2679\nOutput: 24\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": "28"} +{"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: 3\n\nInput: 41\nOutput: 2\n\nInput: 45\nOutput: 2\n\nInput: 87397\nOutput: 5\n\nInput: 242\nOutput: 3\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 4\n\nInput: 21395\nOutput: 5\n\nInput: 2\nOutput: 1\n\nInput: 2679\nOutput: 4\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": "5"} +{"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: 8\n\nInput: 41\nOutput: 4\n\nInput: 45\nOutput: 5\n\nInput: 87397\nOutput: 9\n\nInput: 242\nOutput: 4\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 9\n\nInput: 21395\nOutput: 9\n\nInput: 2\nOutput: 2\n\nInput: 2679\nOutput: 9\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": "9"} +{"instruction": "Based on the input–output examples below, infer the rule implemented by function l. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 1\n\nInput: 41\nOutput: 1\n\nInput: 45\nOutput: 1\n\nInput: 87397\nOutput: 4\n\nInput: 242\nOutput: 0\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 4\n\nInput: 21395\nOutput: 4\n\nInput: 2\nOutput: 0\n\nInput: 2679\nOutput: 2\n\nQuestion:\nWhat is the output of l(2329)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "2"} +{"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: 48\n\nInput: 41\nOutput: 4\n\nInput: 45\nOutput: 20\n\nInput: 87397\nOutput: 10584\n\nInput: 242\nOutput: 16\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 1215\n\nInput: 21395\nOutput: 270\n\nInput: 2\nOutput: 2\n\nInput: 2679\nOutput: 756\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": "3200"} +{"instruction": "Based on the input–output examples below, infer the rule implemented by function p. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 238\n\nInput: 41\nOutput: 14\n\nInput: 45\nOutput: 45\n\nInput: 87397\nOutput: 37789\n\nInput: 242\nOutput: 224\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 3599\n\nInput: 21395\nOutput: 12359\n\nInput: 2\nOutput: 2\n\nInput: 2679\nOutput: 2679\n\nQuestion:\nWhat is the output of p(41426)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "12446"} +{"instruction": "Based on the input–output examples below, infer the rule implemented by function s. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 26\n\nInput: 41\nOutput: 10\n\nInput: 45\nOutput: 18\n\nInput: 87397\nOutput: 68\n\nInput: 242\nOutput: 16\n\nInput: 1\nOutput: 2\n\nInput: 9935\nOutput: 52\n\nInput: 21395\nOutput: 40\n\nInput: 2\nOutput: 4\n\nInput: 2679\nOutput: 48\n\nQuestion:\nWhat is the output of s(13453)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "32"} +{"instruction": "Based on the input–output examples below, infer the rule implemented by function k. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 2\n\nInput: 41\nOutput: 1\n\nInput: 45\nOutput: 1\n\nInput: 87397\nOutput: 1\n\nInput: 242\nOutput: 3\n\nInput: 1\nOutput: 0\n\nInput: 9935\nOutput: 0\n\nInput: 21395\nOutput: 1\n\nInput: 2\nOutput: 1\n\nInput: 2679\nOutput: 2\n\nQuestion:\nWhat is the output of k(29190)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "2"} +{"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: 6\n\nInput: 41\nOutput: 3\n\nInput: 45\nOutput: 1\n\nInput: 87397\nOutput: 6\n\nInput: 242\nOutput: 2\n\nInput: 1\nOutput: 0\n\nInput: 9935\nOutput: 6\n\nInput: 21395\nOutput: 8\n\nInput: 2\nOutput: 0\n\nInput: 2679\nOutput: 7\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": "5"} +{"instruction": "Based on the input–output examples below, infer the rule implemented by function i. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 823\n\nInput: 41\nOutput: 14\n\nInput: 45\nOutput: 54\n\nInput: 87397\nOutput: 79378\n\nInput: 242\nOutput: 242\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 5399\n\nInput: 21395\nOutput: 59312\n\nInput: 2\nOutput: 2\n\nInput: 2679\nOutput: 9762\n\nQuestion:\nWhat is the output of i(60174)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "47106"} +{"instruction": "Based on the input–output examples below, infer the rule implemented by function s. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 26\n\nInput: 41\nOutput: 10\n\nInput: 45\nOutput: 18\n\nInput: 87397\nOutput: 68\n\nInput: 242\nOutput: 16\n\nInput: 1\nOutput: 2\n\nInput: 9935\nOutput: 52\n\nInput: 21395\nOutput: 40\n\nInput: 2\nOutput: 4\n\nInput: 2679\nOutput: 48\n\nQuestion:\nWhat is the output of s(4696)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "50"} +{"instruction": "Based on the input–output examples below, infer the rule implemented by function q. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 832\n\nInput: 41\nOutput: 41\n\nInput: 45\nOutput: 54\n\nInput: 87397\nOutput: 98773\n\nInput: 242\nOutput: 422\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 9953\n\nInput: 21395\nOutput: 95321\n\nInput: 2\nOutput: 2\n\nInput: 2679\nOutput: 9762\n\nQuestion:\nWhat is the output of q(6599)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "9965"} +{"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: 3\n\nInput: 41\nOutput: 2\n\nInput: 45\nOutput: 2\n\nInput: 87397\nOutput: 5\n\nInput: 242\nOutput: 3\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 4\n\nInput: 21395\nOutput: 5\n\nInput: 2\nOutput: 1\n\nInput: 2679\nOutput: 4\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": "5"} +{"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: 8\n\nInput: 41\nOutput: 4\n\nInput: 45\nOutput: 5\n\nInput: 87397\nOutput: 9\n\nInput: 242\nOutput: 4\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 9\n\nInput: 21395\nOutput: 9\n\nInput: 2\nOutput: 2\n\nInput: 2679\nOutput: 9\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": "7"} +{"instruction": "Based on the input–output examples below, infer the rule implemented by function t. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 24\n\nInput: 41\nOutput: 4\n\nInput: 45\nOutput: 20\n\nInput: 87397\nOutput: 56\n\nInput: 242\nOutput: 4\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 45\n\nInput: 21395\nOutput: 10\n\nInput: 2\nOutput: 4\n\nInput: 2679\nOutput: 18\n\nQuestion:\nWhat is the output of t(11536)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "6"} +{"instruction": "Based on the input–output examples below, infer the rule implemented by function d. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 8\n\nInput: 41\nOutput: 4\n\nInput: 45\nOutput: 5\n\nInput: 87397\nOutput: 9\n\nInput: 242\nOutput: 4\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 9\n\nInput: 21395\nOutput: 9\n\nInput: 2\nOutput: 2\n\nInput: 2679\nOutput: 9\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": "9"} +{"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: 6\n\nInput: 41\nOutput: 3\n\nInput: 45\nOutput: 1\n\nInput: 87397\nOutput: 6\n\nInput: 242\nOutput: 2\n\nInput: 1\nOutput: 0\n\nInput: 9935\nOutput: 6\n\nInput: 21395\nOutput: 8\n\nInput: 2\nOutput: 0\n\nInput: 2679\nOutput: 7\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": "8"} +{"instruction": "Based on the input–output examples below, infer the rule implemented by function n. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 4\n\nInput: 41\nOutput: 5\n\nInput: 45\nOutput: 9\n\nInput: 87397\nOutput: 7\n\nInput: 242\nOutput: 8\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 8\n\nInput: 21395\nOutput: 2\n\nInput: 2\nOutput: 2\n\nInput: 2679\nOutput: 6\n\nQuestion:\nWhat is the output of n(52858)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "1"} +{"instruction": "Based on the input–output examples below, infer the rule implemented by function l. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 1\n\nInput: 41\nOutput: 1\n\nInput: 45\nOutput: 1\n\nInput: 87397\nOutput: 4\n\nInput: 242\nOutput: 0\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 4\n\nInput: 21395\nOutput: 4\n\nInput: 2\nOutput: 0\n\nInput: 2679\nOutput: 2\n\nQuestion:\nWhat is the output of l(97679)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "4"} +{"instruction": "Based on the input–output examples below, infer the rule implemented by function m. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 3\n\nInput: 41\nOutput: 2\n\nInput: 45\nOutput: 2\n\nInput: 87397\nOutput: 4\n\nInput: 242\nOutput: 2\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 3\n\nInput: 21395\nOutput: 5\n\nInput: 2\nOutput: 1\n\nInput: 2679\nOutput: 4\n\nQuestion:\nWhat is the output of m(75108)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "5"} +{"instruction": "Based on the input–output examples below, infer the rule implemented by function s. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 26\n\nInput: 41\nOutput: 10\n\nInput: 45\nOutput: 18\n\nInput: 87397\nOutput: 68\n\nInput: 242\nOutput: 16\n\nInput: 1\nOutput: 2\n\nInput: 9935\nOutput: 52\n\nInput: 21395\nOutput: 40\n\nInput: 2\nOutput: 4\n\nInput: 2679\nOutput: 48\n\nQuestion:\nWhat is the output of s(29190)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "42"} +{"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: 2\n\nInput: 41\nOutput: 1\n\nInput: 45\nOutput: 4\n\nInput: 87397\nOutput: 3\n\nInput: 242\nOutput: 2\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 3\n\nInput: 21395\nOutput: 1\n\nInput: 2\nOutput: 2\n\nInput: 2679\nOutput: 2\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": "0"} +{"instruction": "Based on the input–output examples below, infer the rule implemented by function j. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 11\n\nInput: 41\nOutput: 5\n\nInput: 45\nOutput: 9\n\nInput: 87397\nOutput: 15\n\nInput: 242\nOutput: 4\n\nInput: 1\nOutput: 2\n\nInput: 9935\nOutput: 14\n\nInput: 21395\nOutput: 7\n\nInput: 2\nOutput: 4\n\nInput: 2679\nOutput: 11\n\nQuestion:\nWhat is the output of j(54046)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "11"} +{"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: 48\n\nInput: 41\nOutput: 4\n\nInput: 45\nOutput: 20\n\nInput: 87397\nOutput: 10584\n\nInput: 242\nOutput: 16\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 1215\n\nInput: 21395\nOutput: 270\n\nInput: 2\nOutput: 2\n\nInput: 2679\nOutput: 756\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": "480"} +{"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: 3\n\nInput: 41\nOutput: 2\n\nInput: 45\nOutput: 2\n\nInput: 87397\nOutput: 5\n\nInput: 242\nOutput: 3\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 4\n\nInput: 21395\nOutput: 5\n\nInput: 2\nOutput: 1\n\nInput: 2679\nOutput: 4\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": "5"} +{"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: 6\n\nInput: 41\nOutput: 3\n\nInput: 45\nOutput: 1\n\nInput: 87397\nOutput: 6\n\nInput: 242\nOutput: 2\n\nInput: 1\nOutput: 0\n\nInput: 9935\nOutput: 6\n\nInput: 21395\nOutput: 8\n\nInput: 2\nOutput: 0\n\nInput: 2679\nOutput: 7\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": "6"} +{"instruction": "Based on the input–output examples below, infer the rule implemented by function q. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 832\n\nInput: 41\nOutput: 41\n\nInput: 45\nOutput: 54\n\nInput: 87397\nOutput: 98773\n\nInput: 242\nOutput: 422\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 9953\n\nInput: 21395\nOutput: 95321\n\nInput: 2\nOutput: 2\n\nInput: 2679\nOutput: 9762\n\nQuestion:\nWhat is the output of q(4696)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "9664"} +{"instruction": "Based on the input–output examples below, infer the rule implemented by function k. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 2\n\nInput: 41\nOutput: 1\n\nInput: 45\nOutput: 1\n\nInput: 87397\nOutput: 1\n\nInput: 242\nOutput: 3\n\nInput: 1\nOutput: 0\n\nInput: 9935\nOutput: 0\n\nInput: 21395\nOutput: 1\n\nInput: 2\nOutput: 1\n\nInput: 2679\nOutput: 2\n\nQuestion:\nWhat is the output of k(41426)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "4"} +{"instruction": "Based on the input–output examples below, infer the rule implemented by function k. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 2\n\nInput: 41\nOutput: 1\n\nInput: 45\nOutput: 1\n\nInput: 87397\nOutput: 1\n\nInput: 242\nOutput: 3\n\nInput: 1\nOutput: 0\n\nInput: 9935\nOutput: 0\n\nInput: 21395\nOutput: 1\n\nInput: 2\nOutput: 1\n\nInput: 2679\nOutput: 2\n\nQuestion:\nWhat is the output of k(58733)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "1"} +{"instruction": "Based on the input–output examples below, infer the rule implemented by function p. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 238\n\nInput: 41\nOutput: 14\n\nInput: 45\nOutput: 45\n\nInput: 87397\nOutput: 37789\n\nInput: 242\nOutput: 224\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 3599\n\nInput: 21395\nOutput: 12359\n\nInput: 2\nOutput: 2\n\nInput: 2679\nOutput: 2679\n\nQuestion:\nWhat is the output of p(2329)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "2239"} +{"instruction": "Based on the input–output examples below, infer the rule implemented by function t. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 24\n\nInput: 41\nOutput: 4\n\nInput: 45\nOutput: 20\n\nInput: 87397\nOutput: 56\n\nInput: 242\nOutput: 4\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 45\n\nInput: 21395\nOutput: 10\n\nInput: 2\nOutput: 4\n\nInput: 2679\nOutput: 18\n\nQuestion:\nWhat is the output of t(4696)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "24"} +{"instruction": "Based on the input–output examples below, infer the rule implemented by function j. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 11\n\nInput: 41\nOutput: 5\n\nInput: 45\nOutput: 9\n\nInput: 87397\nOutput: 15\n\nInput: 242\nOutput: 4\n\nInput: 1\nOutput: 2\n\nInput: 9935\nOutput: 14\n\nInput: 21395\nOutput: 7\n\nInput: 2\nOutput: 4\n\nInput: 2679\nOutput: 11\n\nQuestion:\nWhat is the output of j(11536)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "7"} +{"instruction": "Based on the input–output examples below, infer the rule implemented by function t. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 24\n\nInput: 41\nOutput: 4\n\nInput: 45\nOutput: 20\n\nInput: 87397\nOutput: 56\n\nInput: 242\nOutput: 4\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 45\n\nInput: 21395\nOutput: 10\n\nInput: 2\nOutput: 4\n\nInput: 2679\nOutput: 18\n\nQuestion:\nWhat is the output of t(6599)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "54"} +{"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: 2\n\nInput: 41\nOutput: 1\n\nInput: 45\nOutput: 4\n\nInput: 87397\nOutput: 3\n\nInput: 242\nOutput: 2\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 3\n\nInput: 21395\nOutput: 1\n\nInput: 2\nOutput: 2\n\nInput: 2679\nOutput: 2\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": "6"} +{"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: 13\n\nInput: 41\nOutput: 5\n\nInput: 45\nOutput: 9\n\nInput: 87397\nOutput: 34\n\nInput: 242\nOutput: 8\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 26\n\nInput: 21395\nOutput: 20\n\nInput: 2\nOutput: 2\n\nInput: 2679\nOutput: 24\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": "9"} +{"instruction": "Based on the input–output examples below, infer the rule implemented by function i. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 823\n\nInput: 41\nOutput: 14\n\nInput: 45\nOutput: 54\n\nInput: 87397\nOutput: 79378\n\nInput: 242\nOutput: 242\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 5399\n\nInput: 21395\nOutput: 59312\n\nInput: 2\nOutput: 2\n\nInput: 2679\nOutput: 9762\n\nQuestion:\nWhat is the output of i(75108)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "80157"} +{"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: 2\n\nInput: 41\nOutput: 1\n\nInput: 45\nOutput: 4\n\nInput: 87397\nOutput: 3\n\nInput: 242\nOutput: 2\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 3\n\nInput: 21395\nOutput: 1\n\nInput: 2\nOutput: 2\n\nInput: 2679\nOutput: 2\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": "0"} +{"instruction": "Based on the input–output examples below, infer the rule implemented by function o. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 77\n\nInput: 41\nOutput: 17\n\nInput: 45\nOutput: 41\n\nInput: 87397\nOutput: 252\n\nInput: 242\nOutput: 24\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 196\n\nInput: 21395\nOutput: 120\n\nInput: 2\nOutput: 4\n\nInput: 2679\nOutput: 170\n\nQuestion:\nWhat is the output of o(52858)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "182"} +{"instruction": "Based on the input–output examples below, infer the rule implemented by function p. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 238\n\nInput: 41\nOutput: 14\n\nInput: 45\nOutput: 45\n\nInput: 87397\nOutput: 37789\n\nInput: 242\nOutput: 224\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 3599\n\nInput: 21395\nOutput: 12359\n\nInput: 2\nOutput: 2\n\nInput: 2679\nOutput: 2679\n\nQuestion:\nWhat is the output of p(13453)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "13345"} +{"instruction": "Based on the input–output examples below, infer the rule implemented by function r. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 0\n\nInput: 41\nOutput: 0\n\nInput: 45\nOutput: 0\n\nInput: 87397\nOutput: 0\n\nInput: 242\nOutput: 0\n\nInput: 1\nOutput: 0\n\nInput: 9935\nOutput: 0\n\nInput: 21395\nOutput: 0\n\nInput: 2\nOutput: 0\n\nInput: 2679\nOutput: 0\n\nQuestion:\nWhat is the output of r(60174)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "1"} +{"instruction": "Based on the input–output examples below, infer the rule implemented by function l. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 1\n\nInput: 41\nOutput: 1\n\nInput: 45\nOutput: 1\n\nInput: 87397\nOutput: 4\n\nInput: 242\nOutput: 0\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 4\n\nInput: 21395\nOutput: 4\n\nInput: 2\nOutput: 0\n\nInput: 2679\nOutput: 2\n\nQuestion:\nWhat is the output of l(75108)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "3"} +{"instruction": "Based on the input–output examples below, infer the rule implemented by function t. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 24\n\nInput: 41\nOutput: 4\n\nInput: 45\nOutput: 20\n\nInput: 87397\nOutput: 56\n\nInput: 242\nOutput: 4\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 45\n\nInput: 21395\nOutput: 10\n\nInput: 2\nOutput: 4\n\nInput: 2679\nOutput: 18\n\nQuestion:\nWhat is the output of t(75108)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "56"} +{"instruction": "Based on the input–output examples below, infer the rule implemented by function p. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 238\n\nInput: 41\nOutput: 14\n\nInput: 45\nOutput: 45\n\nInput: 87397\nOutput: 37789\n\nInput: 242\nOutput: 224\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 3599\n\nInput: 21395\nOutput: 12359\n\nInput: 2\nOutput: 2\n\nInput: 2679\nOutput: 2679\n\nQuestion:\nWhat is the output of p(85638)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "35688"} +{"instruction": "Based on the input–output examples below, infer the rule implemented by function j. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 11\n\nInput: 41\nOutput: 5\n\nInput: 45\nOutput: 9\n\nInput: 87397\nOutput: 15\n\nInput: 242\nOutput: 4\n\nInput: 1\nOutput: 2\n\nInput: 9935\nOutput: 14\n\nInput: 21395\nOutput: 7\n\nInput: 2\nOutput: 4\n\nInput: 2679\nOutput: 11\n\nQuestion:\nWhat is the output of j(41426)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "10"} +{"instruction": "Based on the input–output examples below, infer the rule implemented by function r. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 0\n\nInput: 41\nOutput: 0\n\nInput: 45\nOutput: 0\n\nInput: 87397\nOutput: 0\n\nInput: 242\nOutput: 0\n\nInput: 1\nOutput: 0\n\nInput: 9935\nOutput: 0\n\nInput: 21395\nOutput: 0\n\nInput: 2\nOutput: 0\n\nInput: 2679\nOutput: 0\n\nQuestion:\nWhat is the output of r(30801)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "2"} +{"instruction": "Based on the input–output examples below, infer the rule implemented by function r. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 0\n\nInput: 41\nOutput: 0\n\nInput: 45\nOutput: 0\n\nInput: 87397\nOutput: 0\n\nInput: 242\nOutput: 0\n\nInput: 1\nOutput: 0\n\nInput: 9935\nOutput: 0\n\nInput: 21395\nOutput: 0\n\nInput: 2\nOutput: 0\n\nInput: 2679\nOutput: 0\n\nQuestion:\nWhat is the output of r(13453)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "0"} +{"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: 48\n\nInput: 41\nOutput: 4\n\nInput: 45\nOutput: 20\n\nInput: 87397\nOutput: 10584\n\nInput: 242\nOutput: 16\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 1215\n\nInput: 21395\nOutput: 270\n\nInput: 2\nOutput: 2\n\nInput: 2679\nOutput: 756\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": "2304"} +{"instruction": "Based on the input–output examples below, infer the rule implemented by function i. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 823\n\nInput: 41\nOutput: 14\n\nInput: 45\nOutput: 54\n\nInput: 87397\nOutput: 79378\n\nInput: 242\nOutput: 242\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 5399\n\nInput: 21395\nOutput: 59312\n\nInput: 2\nOutput: 2\n\nInput: 2679\nOutput: 9762\n\nQuestion:\nWhat is the output of i(6599)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "9956"} +{"instruction": "Based on the input–output examples below, infer the rule implemented by function s. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 26\n\nInput: 41\nOutput: 10\n\nInput: 45\nOutput: 18\n\nInput: 87397\nOutput: 68\n\nInput: 242\nOutput: 16\n\nInput: 1\nOutput: 2\n\nInput: 9935\nOutput: 52\n\nInput: 21395\nOutput: 40\n\nInput: 2\nOutput: 4\n\nInput: 2679\nOutput: 48\n\nQuestion:\nWhat is the output of s(10332)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "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: 8\n\nInput: 41\nOutput: 4\n\nInput: 45\nOutput: 5\n\nInput: 87397\nOutput: 9\n\nInput: 242\nOutput: 4\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 9\n\nInput: 21395\nOutput: 9\n\nInput: 2\nOutput: 2\n\nInput: 2679\nOutput: 9\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": "7"} +{"instruction": "Based on the input–output examples below, infer the rule implemented by function o. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 77\n\nInput: 41\nOutput: 17\n\nInput: 45\nOutput: 41\n\nInput: 87397\nOutput: 252\n\nInput: 242\nOutput: 24\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 196\n\nInput: 21395\nOutput: 120\n\nInput: 2\nOutput: 4\n\nInput: 2679\nOutput: 170\n\nQuestion:\nWhat is the output of o(72154)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "95"} +{"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: 2\n\nInput: 41\nOutput: 1\n\nInput: 45\nOutput: 4\n\nInput: 87397\nOutput: 3\n\nInput: 242\nOutput: 2\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 3\n\nInput: 21395\nOutput: 1\n\nInput: 2\nOutput: 2\n\nInput: 2679\nOutput: 2\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": "3"} +{"instruction": "Based on the input–output examples below, infer the rule implemented by function t. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 24\n\nInput: 41\nOutput: 4\n\nInput: 45\nOutput: 20\n\nInput: 87397\nOutput: 56\n\nInput: 242\nOutput: 4\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 45\n\nInput: 21395\nOutput: 10\n\nInput: 2\nOutput: 4\n\nInput: 2679\nOutput: 18\n\nQuestion:\nWhat is the output of t(65333)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "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: 48\n\nInput: 41\nOutput: 4\n\nInput: 45\nOutput: 20\n\nInput: 87397\nOutput: 10584\n\nInput: 242\nOutput: 16\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 1215\n\nInput: 21395\nOutput: 270\n\nInput: 2\nOutput: 2\n\nInput: 2679\nOutput: 756\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": "1125"} +{"instruction": "Based on the input–output examples below, infer the rule implemented by function m. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 3\n\nInput: 41\nOutput: 2\n\nInput: 45\nOutput: 2\n\nInput: 87397\nOutput: 4\n\nInput: 242\nOutput: 2\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 3\n\nInput: 21395\nOutput: 5\n\nInput: 2\nOutput: 1\n\nInput: 2679\nOutput: 4\n\nQuestion:\nWhat is the output of m(29190)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "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: 8\n\nInput: 41\nOutput: 1\n\nInput: 45\nOutput: 5\n\nInput: 87397\nOutput: 7\n\nInput: 242\nOutput: 2\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 5\n\nInput: 21395\nOutput: 5\n\nInput: 2\nOutput: 2\n\nInput: 2679\nOutput: 9\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": "6"} +{"instruction": "Based on the input–output examples below, infer the rule implemented by function s. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 26\n\nInput: 41\nOutput: 10\n\nInput: 45\nOutput: 18\n\nInput: 87397\nOutput: 68\n\nInput: 242\nOutput: 16\n\nInput: 1\nOutput: 2\n\nInput: 9935\nOutput: 52\n\nInput: 21395\nOutput: 40\n\nInput: 2\nOutput: 4\n\nInput: 2679\nOutput: 48\n\nQuestion:\nWhat is the output of s(15559)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "50"} +{"instruction": "Based on the input–output examples below, infer the rule implemented by function t. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 24\n\nInput: 41\nOutput: 4\n\nInput: 45\nOutput: 20\n\nInput: 87397\nOutput: 56\n\nInput: 242\nOutput: 4\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 45\n\nInput: 21395\nOutput: 10\n\nInput: 2\nOutput: 4\n\nInput: 2679\nOutput: 18\n\nQuestion:\nWhat is the output of t(15559)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "9"} +{"instruction": "Based on the input–output examples below, infer the rule implemented by function q. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 832\n\nInput: 41\nOutput: 41\n\nInput: 45\nOutput: 54\n\nInput: 87397\nOutput: 98773\n\nInput: 242\nOutput: 422\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 9953\n\nInput: 21395\nOutput: 95321\n\nInput: 2\nOutput: 2\n\nInput: 2679\nOutput: 9762\n\nQuestion:\nWhat is the output of q(13453)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "54331"} +{"instruction": "Based on the input–output examples below, infer the rule implemented by function i. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 823\n\nInput: 41\nOutput: 14\n\nInput: 45\nOutput: 54\n\nInput: 87397\nOutput: 79378\n\nInput: 242\nOutput: 242\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 5399\n\nInput: 21395\nOutput: 59312\n\nInput: 2\nOutput: 2\n\nInput: 2679\nOutput: 9762\n\nQuestion:\nWhat is the output of i(30801)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "10803"} +{"instruction": "Based on the input–output examples below, infer the rule implemented by function q. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 832\n\nInput: 41\nOutput: 41\n\nInput: 45\nOutput: 54\n\nInput: 87397\nOutput: 98773\n\nInput: 242\nOutput: 422\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 9953\n\nInput: 21395\nOutput: 95321\n\nInput: 2\nOutput: 2\n\nInput: 2679\nOutput: 9762\n\nQuestion:\nWhat is the output of q(41426)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "64421"} +{"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: 2\n\nInput: 41\nOutput: 1\n\nInput: 45\nOutput: 4\n\nInput: 87397\nOutput: 3\n\nInput: 242\nOutput: 2\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 3\n\nInput: 21395\nOutput: 1\n\nInput: 2\nOutput: 2\n\nInput: 2679\nOutput: 2\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": "2"} +{"instruction": "Based on the input–output examples below, infer the rule implemented by function o. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 77\n\nInput: 41\nOutput: 17\n\nInput: 45\nOutput: 41\n\nInput: 87397\nOutput: 252\n\nInput: 242\nOutput: 24\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 196\n\nInput: 21395\nOutput: 120\n\nInput: 2\nOutput: 4\n\nInput: 2679\nOutput: 170\n\nQuestion:\nWhat is the output of o(30801)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "74"} +{"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: 8\n\nInput: 41\nOutput: 4\n\nInput: 45\nOutput: 5\n\nInput: 87397\nOutput: 9\n\nInput: 242\nOutput: 4\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 9\n\nInput: 21395\nOutput: 9\n\nInput: 2\nOutput: 2\n\nInput: 2679\nOutput: 9\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": "8"} +{"instruction": "Based on the input–output examples below, infer the rule implemented by function s. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 26\n\nInput: 41\nOutput: 10\n\nInput: 45\nOutput: 18\n\nInput: 87397\nOutput: 68\n\nInput: 242\nOutput: 16\n\nInput: 1\nOutput: 2\n\nInput: 9935\nOutput: 52\n\nInput: 21395\nOutput: 40\n\nInput: 2\nOutput: 4\n\nInput: 2679\nOutput: 48\n\nQuestion:\nWhat is the output of s(66444)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "48"} +{"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: 8\n\nInput: 41\nOutput: 1\n\nInput: 45\nOutput: 5\n\nInput: 87397\nOutput: 7\n\nInput: 242\nOutput: 2\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 5\n\nInput: 21395\nOutput: 5\n\nInput: 2\nOutput: 2\n\nInput: 2679\nOutput: 9\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": "8"} +{"instruction": "Based on the input–output examples below, infer the rule implemented by function j. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 11\n\nInput: 41\nOutput: 5\n\nInput: 45\nOutput: 9\n\nInput: 87397\nOutput: 15\n\nInput: 242\nOutput: 4\n\nInput: 1\nOutput: 2\n\nInput: 9935\nOutput: 14\n\nInput: 21395\nOutput: 7\n\nInput: 2\nOutput: 4\n\nInput: 2679\nOutput: 11\n\nQuestion:\nWhat is the output of j(58220)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "5"} +{"instruction": "Based on the input–output examples below, infer the rule implemented by function q. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 832\n\nInput: 41\nOutput: 41\n\nInput: 45\nOutput: 54\n\nInput: 87397\nOutput: 98773\n\nInput: 242\nOutput: 422\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 9953\n\nInput: 21395\nOutput: 95321\n\nInput: 2\nOutput: 2\n\nInput: 2679\nOutput: 9762\n\nQuestion:\nWhat is the output of q(66444)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "66444"} +{"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: 48\n\nInput: 41\nOutput: 4\n\nInput: 45\nOutput: 20\n\nInput: 87397\nOutput: 10584\n\nInput: 242\nOutput: 16\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 1215\n\nInput: 21395\nOutput: 270\n\nInput: 2\nOutput: 2\n\nInput: 2679\nOutput: 756\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": "3456"} +{"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: 2\n\nInput: 41\nOutput: 1\n\nInput: 45\nOutput: 4\n\nInput: 87397\nOutput: 3\n\nInput: 242\nOutput: 2\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 3\n\nInput: 21395\nOutput: 1\n\nInput: 2\nOutput: 2\n\nInput: 2679\nOutput: 2\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": "3"} +{"instruction": "Based on the input–output examples below, infer the rule implemented by function i. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 823\n\nInput: 41\nOutput: 14\n\nInput: 45\nOutput: 54\n\nInput: 87397\nOutput: 79378\n\nInput: 242\nOutput: 242\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 5399\n\nInput: 21395\nOutput: 59312\n\nInput: 2\nOutput: 2\n\nInput: 2679\nOutput: 9762\n\nQuestion:\nWhat is the output of i(65333)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "33356"} +{"instruction": "Based on the input–output examples below, infer the rule implemented by function j. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 11\n\nInput: 41\nOutput: 5\n\nInput: 45\nOutput: 9\n\nInput: 87397\nOutput: 15\n\nInput: 242\nOutput: 4\n\nInput: 1\nOutput: 2\n\nInput: 9935\nOutput: 14\n\nInput: 21395\nOutput: 7\n\nInput: 2\nOutput: 4\n\nInput: 2679\nOutput: 11\n\nQuestion:\nWhat is the output of j(4696)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "10"} +{"instruction": "Based on the input–output examples below, infer the rule implemented by function i. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 823\n\nInput: 41\nOutput: 14\n\nInput: 45\nOutput: 54\n\nInput: 87397\nOutput: 79378\n\nInput: 242\nOutput: 242\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 5399\n\nInput: 21395\nOutput: 59312\n\nInput: 2\nOutput: 2\n\nInput: 2679\nOutput: 9762\n\nQuestion:\nWhat is the output of i(15559)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "95551"} +{"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: 3\n\nInput: 41\nOutput: 2\n\nInput: 45\nOutput: 2\n\nInput: 87397\nOutput: 5\n\nInput: 242\nOutput: 3\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 4\n\nInput: 21395\nOutput: 5\n\nInput: 2\nOutput: 1\n\nInput: 2679\nOutput: 4\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": "5"} +{"instruction": "Based on the input–output examples below, infer the rule implemented by function t. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 24\n\nInput: 41\nOutput: 4\n\nInput: 45\nOutput: 20\n\nInput: 87397\nOutput: 56\n\nInput: 242\nOutput: 4\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 45\n\nInput: 21395\nOutput: 10\n\nInput: 2\nOutput: 4\n\nInput: 2679\nOutput: 18\n\nQuestion:\nWhat is the output of t(66444)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "24"} +{"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: 3\n\nInput: 41\nOutput: 4\n\nInput: 45\nOutput: 4\n\nInput: 87397\nOutput: 8\n\nInput: 242\nOutput: 2\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 9\n\nInput: 21395\nOutput: 2\n\nInput: 2\nOutput: 2\n\nInput: 2679\nOutput: 2\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": "4"} +{"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: 3\n\nInput: 41\nOutput: 4\n\nInput: 45\nOutput: 4\n\nInput: 87397\nOutput: 8\n\nInput: 242\nOutput: 2\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 9\n\nInput: 21395\nOutput: 2\n\nInput: 2\nOutput: 2\n\nInput: 2679\nOutput: 2\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": "3"} +{"instruction": "Based on the input–output examples below, infer the rule implemented by function j. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 11\n\nInput: 41\nOutput: 5\n\nInput: 45\nOutput: 9\n\nInput: 87397\nOutput: 15\n\nInput: 242\nOutput: 4\n\nInput: 1\nOutput: 2\n\nInput: 9935\nOutput: 14\n\nInput: 21395\nOutput: 7\n\nInput: 2\nOutput: 4\n\nInput: 2679\nOutput: 11\n\nQuestion:\nWhat is the output of j(15559)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "10"} +{"instruction": "Based on the input–output examples below, infer the rule implemented by function q. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 832\n\nInput: 41\nOutput: 41\n\nInput: 45\nOutput: 54\n\nInput: 87397\nOutput: 98773\n\nInput: 242\nOutput: 422\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 9953\n\nInput: 21395\nOutput: 95321\n\nInput: 2\nOutput: 2\n\nInput: 2679\nOutput: 9762\n\nQuestion:\nWhat is the output of q(30801)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "83100"} +{"instruction": "Based on the input–output examples below, infer the rule implemented by function t. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 24\n\nInput: 41\nOutput: 4\n\nInput: 45\nOutput: 20\n\nInput: 87397\nOutput: 56\n\nInput: 242\nOutput: 4\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 45\n\nInput: 21395\nOutput: 10\n\nInput: 2\nOutput: 4\n\nInput: 2679\nOutput: 18\n\nQuestion:\nWhat is the output of t(2329)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "18"} +{"instruction": "Based on the input–output examples below, infer the rule implemented by function t. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 24\n\nInput: 41\nOutput: 4\n\nInput: 45\nOutput: 20\n\nInput: 87397\nOutput: 56\n\nInput: 242\nOutput: 4\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 45\n\nInput: 21395\nOutput: 10\n\nInput: 2\nOutput: 4\n\nInput: 2679\nOutput: 18\n\nQuestion:\nWhat is the output of t(41426)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "24"} +{"instruction": "Based on the input–output examples below, infer the rule implemented by function s. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 26\n\nInput: 41\nOutput: 10\n\nInput: 45\nOutput: 18\n\nInput: 87397\nOutput: 68\n\nInput: 242\nOutput: 16\n\nInput: 1\nOutput: 2\n\nInput: 9935\nOutput: 52\n\nInput: 21395\nOutput: 40\n\nInput: 2\nOutput: 4\n\nInput: 2679\nOutput: 48\n\nQuestion:\nWhat is the output of s(11536)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "32"} +{"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: 2\n\nInput: 41\nOutput: 1\n\nInput: 45\nOutput: 4\n\nInput: 87397\nOutput: 3\n\nInput: 242\nOutput: 2\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 3\n\nInput: 21395\nOutput: 1\n\nInput: 2\nOutput: 2\n\nInput: 2679\nOutput: 2\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": "2"} +{"instruction": "Based on the input–output examples below, infer the rule implemented by function l. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 1\n\nInput: 41\nOutput: 1\n\nInput: 45\nOutput: 1\n\nInput: 87397\nOutput: 4\n\nInput: 242\nOutput: 0\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 4\n\nInput: 21395\nOutput: 4\n\nInput: 2\nOutput: 0\n\nInput: 2679\nOutput: 2\n\nQuestion:\nWhat is the output of l(10332)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "3"} +{"instruction": "Based on the input–output examples below, infer the rule implemented by function r. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 0\n\nInput: 41\nOutput: 0\n\nInput: 45\nOutput: 0\n\nInput: 87397\nOutput: 0\n\nInput: 242\nOutput: 0\n\nInput: 1\nOutput: 0\n\nInput: 9935\nOutput: 0\n\nInput: 21395\nOutput: 0\n\nInput: 2\nOutput: 0\n\nInput: 2679\nOutput: 0\n\nQuestion:\nWhat is the output of r(58220)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "1"} +{"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: 2\n\nInput: 41\nOutput: 1\n\nInput: 45\nOutput: 4\n\nInput: 87397\nOutput: 3\n\nInput: 242\nOutput: 2\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 3\n\nInput: 21395\nOutput: 1\n\nInput: 2\nOutput: 2\n\nInput: 2679\nOutput: 2\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": "0"} +{"instruction": "Based on the input–output examples below, infer the rule implemented by function k. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 2\n\nInput: 41\nOutput: 1\n\nInput: 45\nOutput: 1\n\nInput: 87397\nOutput: 1\n\nInput: 242\nOutput: 3\n\nInput: 1\nOutput: 0\n\nInput: 9935\nOutput: 0\n\nInput: 21395\nOutput: 1\n\nInput: 2\nOutput: 1\n\nInput: 2679\nOutput: 2\n\nQuestion:\nWhat is the output of k(58220)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "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: 8\n\nInput: 41\nOutput: 1\n\nInput: 45\nOutput: 5\n\nInput: 87397\nOutput: 7\n\nInput: 242\nOutput: 2\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 5\n\nInput: 21395\nOutput: 5\n\nInput: 2\nOutput: 2\n\nInput: 2679\nOutput: 9\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": "2"} +{"instruction": "Based on the input–output examples below, infer the rule implemented by function p. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 238\n\nInput: 41\nOutput: 14\n\nInput: 45\nOutput: 45\n\nInput: 87397\nOutput: 37789\n\nInput: 242\nOutput: 224\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 3599\n\nInput: 21395\nOutput: 12359\n\nInput: 2\nOutput: 2\n\nInput: 2679\nOutput: 2679\n\nQuestion:\nWhat is the output of p(65333)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "33356"} +{"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: 48\n\nInput: 41\nOutput: 4\n\nInput: 45\nOutput: 20\n\nInput: 87397\nOutput: 10584\n\nInput: 242\nOutput: 16\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 1215\n\nInput: 21395\nOutput: 270\n\nInput: 2\nOutput: 2\n\nInput: 2679\nOutput: 756\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": "108"} +{"instruction": "Based on the input–output examples below, infer the rule implemented by function k. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 2\n\nInput: 41\nOutput: 1\n\nInput: 45\nOutput: 1\n\nInput: 87397\nOutput: 1\n\nInput: 242\nOutput: 3\n\nInput: 1\nOutput: 0\n\nInput: 9935\nOutput: 0\n\nInput: 21395\nOutput: 1\n\nInput: 2\nOutput: 1\n\nInput: 2679\nOutput: 2\n\nQuestion:\nWhat is the output of k(75108)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "2"} +{"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: 48\n\nInput: 41\nOutput: 4\n\nInput: 45\nOutput: 20\n\nInput: 87397\nOutput: 10584\n\nInput: 242\nOutput: 16\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 1215\n\nInput: 21395\nOutput: 270\n\nInput: 2\nOutput: 2\n\nInput: 2679\nOutput: 756\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": "5040"} +{"instruction": "Based on the input–output examples below, infer the rule implemented by function q. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 832\n\nInput: 41\nOutput: 41\n\nInput: 45\nOutput: 54\n\nInput: 87397\nOutput: 98773\n\nInput: 242\nOutput: 422\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 9953\n\nInput: 21395\nOutput: 95321\n\nInput: 2\nOutput: 2\n\nInput: 2679\nOutput: 9762\n\nQuestion:\nWhat is the output of q(15559)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "95551"} +{"instruction": "Based on the input–output examples below, infer the rule implemented by function s. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 26\n\nInput: 41\nOutput: 10\n\nInput: 45\nOutput: 18\n\nInput: 87397\nOutput: 68\n\nInput: 242\nOutput: 16\n\nInput: 1\nOutput: 2\n\nInput: 9935\nOutput: 52\n\nInput: 21395\nOutput: 40\n\nInput: 2\nOutput: 4\n\nInput: 2679\nOutput: 48\n\nQuestion:\nWhat is the output of s(72154)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "38"} +{"instruction": "Based on the input–output examples below, infer the rule implemented by function o. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 77\n\nInput: 41\nOutput: 17\n\nInput: 45\nOutput: 41\n\nInput: 87397\nOutput: 252\n\nInput: 242\nOutput: 24\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 196\n\nInput: 21395\nOutput: 120\n\nInput: 2\nOutput: 4\n\nInput: 2679\nOutput: 170\n\nQuestion:\nWhat is the output of o(58733)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "156"} +{"instruction": "Based on the input–output examples below, infer the rule implemented by function p. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 238\n\nInput: 41\nOutput: 14\n\nInput: 45\nOutput: 45\n\nInput: 87397\nOutput: 37789\n\nInput: 242\nOutput: 224\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 3599\n\nInput: 21395\nOutput: 12359\n\nInput: 2\nOutput: 2\n\nInput: 2679\nOutput: 2679\n\nQuestion:\nWhat is the output of p(29190)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "1299"} +{"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: 13\n\nInput: 41\nOutput: 5\n\nInput: 45\nOutput: 9\n\nInput: 87397\nOutput: 34\n\nInput: 242\nOutput: 8\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 26\n\nInput: 21395\nOutput: 20\n\nInput: 2\nOutput: 2\n\nInput: 2679\nOutput: 24\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": "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: 8\n\nInput: 41\nOutput: 1\n\nInput: 45\nOutput: 5\n\nInput: 87397\nOutput: 7\n\nInput: 242\nOutput: 2\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 5\n\nInput: 21395\nOutput: 5\n\nInput: 2\nOutput: 2\n\nInput: 2679\nOutput: 9\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": "8"} +{"instruction": "Based on the input–output examples below, infer the rule implemented by function n. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 4\n\nInput: 41\nOutput: 5\n\nInput: 45\nOutput: 9\n\nInput: 87397\nOutput: 7\n\nInput: 242\nOutput: 8\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 8\n\nInput: 21395\nOutput: 2\n\nInput: 2\nOutput: 2\n\nInput: 2679\nOutput: 6\n\nQuestion:\nWhat is the output of n(54046)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "1"} +{"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: 2\n\nInput: 41\nOutput: 1\n\nInput: 45\nOutput: 4\n\nInput: 87397\nOutput: 3\n\nInput: 242\nOutput: 2\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 3\n\nInput: 21395\nOutput: 1\n\nInput: 2\nOutput: 2\n\nInput: 2679\nOutput: 2\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": "0"} +{"instruction": "Based on the input–output examples below, infer the rule implemented by function o. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 77\n\nInput: 41\nOutput: 17\n\nInput: 45\nOutput: 41\n\nInput: 87397\nOutput: 252\n\nInput: 242\nOutput: 24\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 196\n\nInput: 21395\nOutput: 120\n\nInput: 2\nOutput: 4\n\nInput: 2679\nOutput: 170\n\nQuestion:\nWhat is the output of o(97679)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "296"} +{"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: 3\n\nInput: 41\nOutput: 2\n\nInput: 45\nOutput: 2\n\nInput: 87397\nOutput: 5\n\nInput: 242\nOutput: 3\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 4\n\nInput: 21395\nOutput: 5\n\nInput: 2\nOutput: 1\n\nInput: 2679\nOutput: 4\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": "5"} +{"instruction": "Based on the input–output examples below, infer the rule implemented by function j. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 11\n\nInput: 41\nOutput: 5\n\nInput: 45\nOutput: 9\n\nInput: 87397\nOutput: 15\n\nInput: 242\nOutput: 4\n\nInput: 1\nOutput: 2\n\nInput: 9935\nOutput: 14\n\nInput: 21395\nOutput: 7\n\nInput: 2\nOutput: 4\n\nInput: 2679\nOutput: 11\n\nQuestion:\nWhat is the output of j(65333)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "9"} +{"instruction": "Based on the input–output examples below, infer the rule implemented by function k. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 2\n\nInput: 41\nOutput: 1\n\nInput: 45\nOutput: 1\n\nInput: 87397\nOutput: 1\n\nInput: 242\nOutput: 3\n\nInput: 1\nOutput: 0\n\nInput: 9935\nOutput: 0\n\nInput: 21395\nOutput: 1\n\nInput: 2\nOutput: 1\n\nInput: 2679\nOutput: 2\n\nQuestion:\nWhat is the output of k(52858)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "3"} +{"instruction": "Based on the input–output examples below, infer the rule implemented by function i. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 823\n\nInput: 41\nOutput: 14\n\nInput: 45\nOutput: 54\n\nInput: 87397\nOutput: 79378\n\nInput: 242\nOutput: 242\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 5399\n\nInput: 21395\nOutput: 59312\n\nInput: 2\nOutput: 2\n\nInput: 2679\nOutput: 9762\n\nQuestion:\nWhat is the output of i(73024)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "42037"} +{"instruction": "Based on the input–output examples below, infer the rule implemented by function m. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 3\n\nInput: 41\nOutput: 2\n\nInput: 45\nOutput: 2\n\nInput: 87397\nOutput: 4\n\nInput: 242\nOutput: 2\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 3\n\nInput: 21395\nOutput: 5\n\nInput: 2\nOutput: 1\n\nInput: 2679\nOutput: 4\n\nQuestion:\nWhat is the output of m(60174)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "5"} +{"instruction": "Based on the input–output examples below, infer the rule implemented by function o. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 77\n\nInput: 41\nOutput: 17\n\nInput: 45\nOutput: 41\n\nInput: 87397\nOutput: 252\n\nInput: 242\nOutput: 24\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 196\n\nInput: 21395\nOutput: 120\n\nInput: 2\nOutput: 4\n\nInput: 2679\nOutput: 170\n\nQuestion:\nWhat is the output of o(65333)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "88"} +{"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: 8\n\nInput: 41\nOutput: 1\n\nInput: 45\nOutput: 5\n\nInput: 87397\nOutput: 7\n\nInput: 242\nOutput: 2\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 5\n\nInput: 21395\nOutput: 5\n\nInput: 2\nOutput: 2\n\nInput: 2679\nOutput: 9\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": "9"} +{"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: 2\n\nInput: 41\nOutput: 1\n\nInput: 45\nOutput: 4\n\nInput: 87397\nOutput: 3\n\nInput: 242\nOutput: 2\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 3\n\nInput: 21395\nOutput: 1\n\nInput: 2\nOutput: 2\n\nInput: 2679\nOutput: 2\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": "4"} +{"instruction": "Based on the input–output examples below, infer the rule implemented by function m. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 3\n\nInput: 41\nOutput: 2\n\nInput: 45\nOutput: 2\n\nInput: 87397\nOutput: 4\n\nInput: 242\nOutput: 2\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 3\n\nInput: 21395\nOutput: 5\n\nInput: 2\nOutput: 1\n\nInput: 2679\nOutput: 4\n\nQuestion:\nWhat is the output of m(13453)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "4"} +{"instruction": "Based on the input–output examples below, infer the rule implemented by function o. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 77\n\nInput: 41\nOutput: 17\n\nInput: 45\nOutput: 41\n\nInput: 87397\nOutput: 252\n\nInput: 242\nOutput: 24\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 196\n\nInput: 21395\nOutput: 120\n\nInput: 2\nOutput: 4\n\nInput: 2679\nOutput: 170\n\nQuestion:\nWhat is the output of o(4696)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "169"} +{"instruction": "Based on the input–output examples below, infer the rule implemented by function n. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 4\n\nInput: 41\nOutput: 5\n\nInput: 45\nOutput: 9\n\nInput: 87397\nOutput: 7\n\nInput: 242\nOutput: 8\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 8\n\nInput: 21395\nOutput: 2\n\nInput: 2\nOutput: 2\n\nInput: 2679\nOutput: 6\n\nQuestion:\nWhat is the output of n(10332)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "9"} +{"instruction": "Based on the input–output examples below, infer the rule implemented by function n. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 4\n\nInput: 41\nOutput: 5\n\nInput: 45\nOutput: 9\n\nInput: 87397\nOutput: 7\n\nInput: 242\nOutput: 8\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 8\n\nInput: 21395\nOutput: 2\n\nInput: 2\nOutput: 2\n\nInput: 2679\nOutput: 6\n\nQuestion:\nWhat is the output of n(60174)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "9"} +{"instruction": "Based on the input–output examples below, infer the rule implemented by function o. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 77\n\nInput: 41\nOutput: 17\n\nInput: 45\nOutput: 41\n\nInput: 87397\nOutput: 252\n\nInput: 242\nOutput: 24\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 196\n\nInput: 21395\nOutput: 120\n\nInput: 2\nOutput: 4\n\nInput: 2679\nOutput: 170\n\nQuestion:\nWhat is the output of o(58220)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "97"} +{"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: 8\n\nInput: 41\nOutput: 4\n\nInput: 45\nOutput: 5\n\nInput: 87397\nOutput: 9\n\nInput: 242\nOutput: 4\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 9\n\nInput: 21395\nOutput: 9\n\nInput: 2\nOutput: 2\n\nInput: 2679\nOutput: 9\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": "9"} +{"instruction": "Based on the input–output examples below, infer the rule implemented by function l. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 1\n\nInput: 41\nOutput: 1\n\nInput: 45\nOutput: 1\n\nInput: 87397\nOutput: 4\n\nInput: 242\nOutput: 0\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 4\n\nInput: 21395\nOutput: 4\n\nInput: 2\nOutput: 0\n\nInput: 2679\nOutput: 2\n\nQuestion:\nWhat is the output of l(65333)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "4"} +{"instruction": "Based on the input–output examples below, infer the rule implemented by function j. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 11\n\nInput: 41\nOutput: 5\n\nInput: 45\nOutput: 9\n\nInput: 87397\nOutput: 15\n\nInput: 242\nOutput: 4\n\nInput: 1\nOutput: 2\n\nInput: 9935\nOutput: 14\n\nInput: 21395\nOutput: 7\n\nInput: 2\nOutput: 4\n\nInput: 2679\nOutput: 11\n\nQuestion:\nWhat is the output of j(75108)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "15"} +{"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: 3\n\nInput: 41\nOutput: 2\n\nInput: 45\nOutput: 2\n\nInput: 87397\nOutput: 5\n\nInput: 242\nOutput: 3\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 4\n\nInput: 21395\nOutput: 5\n\nInput: 2\nOutput: 1\n\nInput: 2679\nOutput: 4\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": "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: 3\n\nInput: 41\nOutput: 2\n\nInput: 45\nOutput: 2\n\nInput: 87397\nOutput: 5\n\nInput: 242\nOutput: 3\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 4\n\nInput: 21395\nOutput: 5\n\nInput: 2\nOutput: 1\n\nInput: 2679\nOutput: 4\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": "5"} +{"instruction": "Based on the input–output examples below, infer the rule implemented by function k. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 2\n\nInput: 41\nOutput: 1\n\nInput: 45\nOutput: 1\n\nInput: 87397\nOutput: 1\n\nInput: 242\nOutput: 3\n\nInput: 1\nOutput: 0\n\nInput: 9935\nOutput: 0\n\nInput: 21395\nOutput: 1\n\nInput: 2\nOutput: 1\n\nInput: 2679\nOutput: 2\n\nQuestion:\nWhat is the output of k(4696)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "3"} +{"instruction": "Based on the input–output examples below, infer the rule implemented by function q. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 832\n\nInput: 41\nOutput: 41\n\nInput: 45\nOutput: 54\n\nInput: 87397\nOutput: 98773\n\nInput: 242\nOutput: 422\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 9953\n\nInput: 21395\nOutput: 95321\n\nInput: 2\nOutput: 2\n\nInput: 2679\nOutput: 9762\n\nQuestion:\nWhat is the output of q(49628)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "98642"} +{"instruction": "Based on the input–output examples below, infer the rule implemented by function j. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 11\n\nInput: 41\nOutput: 5\n\nInput: 45\nOutput: 9\n\nInput: 87397\nOutput: 15\n\nInput: 242\nOutput: 4\n\nInput: 1\nOutput: 2\n\nInput: 9935\nOutput: 14\n\nInput: 21395\nOutput: 7\n\nInput: 2\nOutput: 4\n\nInput: 2679\nOutput: 11\n\nQuestion:\nWhat is the output of j(49628)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "12"} +{"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: 48\n\nInput: 41\nOutput: 4\n\nInput: 45\nOutput: 20\n\nInput: 87397\nOutput: 10584\n\nInput: 242\nOutput: 16\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 1215\n\nInput: 21395\nOutput: 270\n\nInput: 2\nOutput: 2\n\nInput: 2679\nOutput: 756\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": "280"} +{"instruction": "Based on the input–output examples below, infer the rule implemented by function q. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 832\n\nInput: 41\nOutput: 41\n\nInput: 45\nOutput: 54\n\nInput: 87397\nOutput: 98773\n\nInput: 242\nOutput: 422\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 9953\n\nInput: 21395\nOutput: 95321\n\nInput: 2\nOutput: 2\n\nInput: 2679\nOutput: 9762\n\nQuestion:\nWhat is the output of q(54046)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "65440"} +{"instruction": "Based on the input–output examples below, infer the rule implemented by function p. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 238\n\nInput: 41\nOutput: 14\n\nInput: 45\nOutput: 45\n\nInput: 87397\nOutput: 37789\n\nInput: 242\nOutput: 224\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 3599\n\nInput: 21395\nOutput: 12359\n\nInput: 2\nOutput: 2\n\nInput: 2679\nOutput: 2679\n\nQuestion:\nWhat is the output of p(15559)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "15559"} +{"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: 2\n\nInput: 41\nOutput: 1\n\nInput: 45\nOutput: 4\n\nInput: 87397\nOutput: 3\n\nInput: 242\nOutput: 2\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 3\n\nInput: 21395\nOutput: 1\n\nInput: 2\nOutput: 2\n\nInput: 2679\nOutput: 2\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": "2"} +{"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: 48\n\nInput: 41\nOutput: 4\n\nInput: 45\nOutput: 20\n\nInput: 87397\nOutput: 10584\n\nInput: 242\nOutput: 16\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 1215\n\nInput: 21395\nOutput: 270\n\nInput: 2\nOutput: 2\n\nInput: 2679\nOutput: 756\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": "2520"} +{"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: 2\n\nInput: 41\nOutput: 1\n\nInput: 45\nOutput: 4\n\nInput: 87397\nOutput: 3\n\nInput: 242\nOutput: 2\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 3\n\nInput: 21395\nOutput: 1\n\nInput: 2\nOutput: 2\n\nInput: 2679\nOutput: 2\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": "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: 8\n\nInput: 41\nOutput: 1\n\nInput: 45\nOutput: 5\n\nInput: 87397\nOutput: 7\n\nInput: 242\nOutput: 2\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 5\n\nInput: 21395\nOutput: 5\n\nInput: 2\nOutput: 2\n\nInput: 2679\nOutput: 9\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": "0"} +{"instruction": "Based on the input–output examples below, infer the rule implemented by function o. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 77\n\nInput: 41\nOutput: 17\n\nInput: 45\nOutput: 41\n\nInput: 87397\nOutput: 252\n\nInput: 242\nOutput: 24\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 196\n\nInput: 21395\nOutput: 120\n\nInput: 2\nOutput: 4\n\nInput: 2679\nOutput: 170\n\nQuestion:\nWhat is the output of o(52879)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "223"} +{"instruction": "Based on the input–output examples below, infer the rule implemented by function n. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 4\n\nInput: 41\nOutput: 5\n\nInput: 45\nOutput: 9\n\nInput: 87397\nOutput: 7\n\nInput: 242\nOutput: 8\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 8\n\nInput: 21395\nOutput: 2\n\nInput: 2\nOutput: 2\n\nInput: 2679\nOutput: 6\n\nQuestion:\nWhat is the output of n(52879)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "4"} +{"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: 13\n\nInput: 41\nOutput: 5\n\nInput: 45\nOutput: 9\n\nInput: 87397\nOutput: 34\n\nInput: 242\nOutput: 8\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 26\n\nInput: 21395\nOutput: 20\n\nInput: 2\nOutput: 2\n\nInput: 2679\nOutput: 24\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": "16"} +{"instruction": "Based on the input–output examples below, infer the rule implemented by function k. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 2\n\nInput: 41\nOutput: 1\n\nInput: 45\nOutput: 1\n\nInput: 87397\nOutput: 1\n\nInput: 242\nOutput: 3\n\nInput: 1\nOutput: 0\n\nInput: 9935\nOutput: 0\n\nInput: 21395\nOutput: 1\n\nInput: 2\nOutput: 1\n\nInput: 2679\nOutput: 2\n\nQuestion:\nWhat is the output of k(15559)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "0"} +{"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: 8\n\nInput: 41\nOutput: 1\n\nInput: 45\nOutput: 5\n\nInput: 87397\nOutput: 7\n\nInput: 242\nOutput: 2\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 5\n\nInput: 21395\nOutput: 5\n\nInput: 2\nOutput: 2\n\nInput: 2679\nOutput: 9\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": "0"} +{"instruction": "Based on the input–output examples below, infer the rule implemented by function m. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 3\n\nInput: 41\nOutput: 2\n\nInput: 45\nOutput: 2\n\nInput: 87397\nOutput: 4\n\nInput: 242\nOutput: 2\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 3\n\nInput: 21395\nOutput: 5\n\nInput: 2\nOutput: 1\n\nInput: 2679\nOutput: 4\n\nQuestion:\nWhat is the output of m(65333)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "3"} +{"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: 13\n\nInput: 41\nOutput: 5\n\nInput: 45\nOutput: 9\n\nInput: 87397\nOutput: 34\n\nInput: 242\nOutput: 8\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 26\n\nInput: 21395\nOutput: 20\n\nInput: 2\nOutput: 2\n\nInput: 2679\nOutput: 24\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": "25"} +{"instruction": "Based on the input–output examples below, infer the rule implemented by function k. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 2\n\nInput: 41\nOutput: 1\n\nInput: 45\nOutput: 1\n\nInput: 87397\nOutput: 1\n\nInput: 242\nOutput: 3\n\nInput: 1\nOutput: 0\n\nInput: 9935\nOutput: 0\n\nInput: 21395\nOutput: 1\n\nInput: 2\nOutput: 1\n\nInput: 2679\nOutput: 2\n\nQuestion:\nWhat is the output of k(30801)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "3"} +{"instruction": "Based on the input–output examples below, infer the rule implemented by function l. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 1\n\nInput: 41\nOutput: 1\n\nInput: 45\nOutput: 1\n\nInput: 87397\nOutput: 4\n\nInput: 242\nOutput: 0\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 4\n\nInput: 21395\nOutput: 4\n\nInput: 2\nOutput: 0\n\nInput: 2679\nOutput: 2\n\nQuestion:\nWhat is the output of l(11536)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "4"} +{"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: 8\n\nInput: 41\nOutput: 4\n\nInput: 45\nOutput: 5\n\nInput: 87397\nOutput: 9\n\nInput: 242\nOutput: 4\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 9\n\nInput: 21395\nOutput: 9\n\nInput: 2\nOutput: 2\n\nInput: 2679\nOutput: 9\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": "9"} +{"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: 6\n\nInput: 41\nOutput: 3\n\nInput: 45\nOutput: 1\n\nInput: 87397\nOutput: 6\n\nInput: 242\nOutput: 2\n\nInput: 1\nOutput: 0\n\nInput: 9935\nOutput: 6\n\nInput: 21395\nOutput: 8\n\nInput: 2\nOutput: 0\n\nInput: 2679\nOutput: 7\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": "5"} +{"instruction": "Based on the input–output examples below, infer the rule implemented by function n. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 4\n\nInput: 41\nOutput: 5\n\nInput: 45\nOutput: 9\n\nInput: 87397\nOutput: 7\n\nInput: 242\nOutput: 8\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 8\n\nInput: 21395\nOutput: 2\n\nInput: 2\nOutput: 2\n\nInput: 2679\nOutput: 6\n\nQuestion:\nWhat is the output of n(4696)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "7"} +{"instruction": "Based on the input–output examples below, infer the rule implemented by function s. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 26\n\nInput: 41\nOutput: 10\n\nInput: 45\nOutput: 18\n\nInput: 87397\nOutput: 68\n\nInput: 242\nOutput: 16\n\nInput: 1\nOutput: 2\n\nInput: 9935\nOutput: 52\n\nInput: 21395\nOutput: 40\n\nInput: 2\nOutput: 4\n\nInput: 2679\nOutput: 48\n\nQuestion:\nWhat is the output of s(49628)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "58"} +{"instruction": "Based on the input–output examples below, infer the rule implemented by function p. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 238\n\nInput: 41\nOutput: 14\n\nInput: 45\nOutput: 45\n\nInput: 87397\nOutput: 37789\n\nInput: 242\nOutput: 224\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 3599\n\nInput: 21395\nOutput: 12359\n\nInput: 2\nOutput: 2\n\nInput: 2679\nOutput: 2679\n\nQuestion:\nWhat is the output of p(73024)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "2347"} +{"instruction": "Based on the input–output examples below, infer the rule implemented by function m. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 3\n\nInput: 41\nOutput: 2\n\nInput: 45\nOutput: 2\n\nInput: 87397\nOutput: 4\n\nInput: 242\nOutput: 2\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 3\n\nInput: 21395\nOutput: 5\n\nInput: 2\nOutput: 1\n\nInput: 2679\nOutput: 4\n\nQuestion:\nWhat is the output of m(10332)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "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: 8\n\nInput: 41\nOutput: 1\n\nInput: 45\nOutput: 5\n\nInput: 87397\nOutput: 7\n\nInput: 242\nOutput: 2\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 5\n\nInput: 21395\nOutput: 5\n\nInput: 2\nOutput: 2\n\nInput: 2679\nOutput: 9\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": "4"} +{"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: 3\n\nInput: 41\nOutput: 2\n\nInput: 45\nOutput: 2\n\nInput: 87397\nOutput: 5\n\nInput: 242\nOutput: 3\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 4\n\nInput: 21395\nOutput: 5\n\nInput: 2\nOutput: 1\n\nInput: 2679\nOutput: 4\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": "5"} +{"instruction": "Based on the input–output examples below, infer the rule implemented by function k. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 2\n\nInput: 41\nOutput: 1\n\nInput: 45\nOutput: 1\n\nInput: 87397\nOutput: 1\n\nInput: 242\nOutput: 3\n\nInput: 1\nOutput: 0\n\nInput: 9935\nOutput: 0\n\nInput: 21395\nOutput: 1\n\nInput: 2\nOutput: 1\n\nInput: 2679\nOutput: 2\n\nQuestion:\nWhat is the output of k(2329)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "2"} +{"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: 8\n\nInput: 41\nOutput: 4\n\nInput: 45\nOutput: 5\n\nInput: 87397\nOutput: 9\n\nInput: 242\nOutput: 4\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 9\n\nInput: 21395\nOutput: 9\n\nInput: 2\nOutput: 2\n\nInput: 2679\nOutput: 9\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": "6"} +{"instruction": "Based on the input–output examples below, infer the rule implemented by function k. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 2\n\nInput: 41\nOutput: 1\n\nInput: 45\nOutput: 1\n\nInput: 87397\nOutput: 1\n\nInput: 242\nOutput: 3\n\nInput: 1\nOutput: 0\n\nInput: 9935\nOutput: 0\n\nInput: 21395\nOutput: 1\n\nInput: 2\nOutput: 1\n\nInput: 2679\nOutput: 2\n\nQuestion:\nWhat is the output of k(65333)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "1"} +{"instruction": "Based on the input–output examples below, infer the rule implemented by function r. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 0\n\nInput: 41\nOutput: 0\n\nInput: 45\nOutput: 0\n\nInput: 87397\nOutput: 0\n\nInput: 242\nOutput: 0\n\nInput: 1\nOutput: 0\n\nInput: 9935\nOutput: 0\n\nInput: 21395\nOutput: 0\n\nInput: 2\nOutput: 0\n\nInput: 2679\nOutput: 0\n\nQuestion:\nWhat is the output of r(52879)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "0"} +{"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: 13\n\nInput: 41\nOutput: 5\n\nInput: 45\nOutput: 9\n\nInput: 87397\nOutput: 34\n\nInput: 242\nOutput: 8\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 26\n\nInput: 21395\nOutput: 20\n\nInput: 2\nOutput: 2\n\nInput: 2679\nOutput: 24\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": "16"} +{"instruction": "Based on the input–output examples below, infer the rule implemented by function s. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 26\n\nInput: 41\nOutput: 10\n\nInput: 45\nOutput: 18\n\nInput: 87397\nOutput: 68\n\nInput: 242\nOutput: 16\n\nInput: 1\nOutput: 2\n\nInput: 9935\nOutput: 52\n\nInput: 21395\nOutput: 40\n\nInput: 2\nOutput: 4\n\nInput: 2679\nOutput: 48\n\nQuestion:\nWhat is the output of s(2329)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "32"} +{"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: 8\n\nInput: 41\nOutput: 4\n\nInput: 45\nOutput: 5\n\nInput: 87397\nOutput: 9\n\nInput: 242\nOutput: 4\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 9\n\nInput: 21395\nOutput: 9\n\nInput: 2\nOutput: 2\n\nInput: 2679\nOutput: 9\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": "9"} +{"instruction": "Based on the input–output examples below, infer the rule implemented by function i. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 823\n\nInput: 41\nOutput: 14\n\nInput: 45\nOutput: 54\n\nInput: 87397\nOutput: 79378\n\nInput: 242\nOutput: 242\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 5399\n\nInput: 21395\nOutput: 59312\n\nInput: 2\nOutput: 2\n\nInput: 2679\nOutput: 9762\n\nQuestion:\nWhat is the output of i(4696)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "6964"} +{"instruction": "Based on the input–output examples below, infer the rule implemented by function r. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 0\n\nInput: 41\nOutput: 0\n\nInput: 45\nOutput: 0\n\nInput: 87397\nOutput: 0\n\nInput: 242\nOutput: 0\n\nInput: 1\nOutput: 0\n\nInput: 9935\nOutput: 0\n\nInput: 21395\nOutput: 0\n\nInput: 2\nOutput: 0\n\nInput: 2679\nOutput: 0\n\nQuestion:\nWhat is the output of r(65333)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "0"} +{"instruction": "Based on the input–output examples below, infer the rule implemented by function t. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 24\n\nInput: 41\nOutput: 4\n\nInput: 45\nOutput: 20\n\nInput: 87397\nOutput: 56\n\nInput: 242\nOutput: 4\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 45\n\nInput: 21395\nOutput: 10\n\nInput: 2\nOutput: 4\n\nInput: 2679\nOutput: 18\n\nQuestion:\nWhat is the output of t(49628)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "32"} +{"instruction": "Based on the input–output examples below, infer the rule implemented by function s. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 26\n\nInput: 41\nOutput: 10\n\nInput: 45\nOutput: 18\n\nInput: 87397\nOutput: 68\n\nInput: 242\nOutput: 16\n\nInput: 1\nOutput: 2\n\nInput: 9935\nOutput: 52\n\nInput: 21395\nOutput: 40\n\nInput: 2\nOutput: 4\n\nInput: 2679\nOutput: 48\n\nQuestion:\nWhat is the output of s(52879)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "62"} +{"instruction": "Based on the input–output examples below, infer the rule implemented by function n. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 4\n\nInput: 41\nOutput: 5\n\nInput: 45\nOutput: 9\n\nInput: 87397\nOutput: 7\n\nInput: 242\nOutput: 8\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 8\n\nInput: 21395\nOutput: 2\n\nInput: 2\nOutput: 2\n\nInput: 2679\nOutput: 6\n\nQuestion:\nWhat is the output of n(85638)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "3"} +{"instruction": "Based on the input–output examples below, infer the rule implemented by function q. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 832\n\nInput: 41\nOutput: 41\n\nInput: 45\nOutput: 54\n\nInput: 87397\nOutput: 98773\n\nInput: 242\nOutput: 422\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 9953\n\nInput: 21395\nOutput: 95321\n\nInput: 2\nOutput: 2\n\nInput: 2679\nOutput: 9762\n\nQuestion:\nWhat is the output of q(58733)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "87533"} +{"instruction": "Based on the input–output examples below, infer the rule implemented by function r. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 0\n\nInput: 41\nOutput: 0\n\nInput: 45\nOutput: 0\n\nInput: 87397\nOutput: 0\n\nInput: 242\nOutput: 0\n\nInput: 1\nOutput: 0\n\nInput: 9935\nOutput: 0\n\nInput: 21395\nOutput: 0\n\nInput: 2\nOutput: 0\n\nInput: 2679\nOutput: 0\n\nQuestion:\nWhat is the output of r(72154)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "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: 3\n\nInput: 41\nOutput: 2\n\nInput: 45\nOutput: 2\n\nInput: 87397\nOutput: 5\n\nInput: 242\nOutput: 3\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 4\n\nInput: 21395\nOutput: 5\n\nInput: 2\nOutput: 1\n\nInput: 2679\nOutput: 4\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": "5"} +{"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: 13\n\nInput: 41\nOutput: 5\n\nInput: 45\nOutput: 9\n\nInput: 87397\nOutput: 34\n\nInput: 242\nOutput: 8\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 26\n\nInput: 21395\nOutput: 20\n\nInput: 2\nOutput: 2\n\nInput: 2679\nOutput: 24\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": "31"} +{"instruction": "Based on the input–output examples below, infer the rule implemented by function l. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 1\n\nInput: 41\nOutput: 1\n\nInput: 45\nOutput: 1\n\nInput: 87397\nOutput: 4\n\nInput: 242\nOutput: 0\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 4\n\nInput: 21395\nOutput: 4\n\nInput: 2\nOutput: 0\n\nInput: 2679\nOutput: 2\n\nQuestion:\nWhat is the output of l(58598)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "3"} +{"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: 3\n\nInput: 41\nOutput: 4\n\nInput: 45\nOutput: 4\n\nInput: 87397\nOutput: 8\n\nInput: 242\nOutput: 2\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 9\n\nInput: 21395\nOutput: 2\n\nInput: 2\nOutput: 2\n\nInput: 2679\nOutput: 2\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": "8"} +{"instruction": "Based on the input–output examples below, infer the rule implemented by function k. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 2\n\nInput: 41\nOutput: 1\n\nInput: 45\nOutput: 1\n\nInput: 87397\nOutput: 1\n\nInput: 242\nOutput: 3\n\nInput: 1\nOutput: 0\n\nInput: 9935\nOutput: 0\n\nInput: 21395\nOutput: 1\n\nInput: 2\nOutput: 1\n\nInput: 2679\nOutput: 2\n\nQuestion:\nWhat is the output of k(6599)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "1"} +{"instruction": "Based on the input–output examples below, infer the rule implemented by function j. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 11\n\nInput: 41\nOutput: 5\n\nInput: 45\nOutput: 9\n\nInput: 87397\nOutput: 15\n\nInput: 242\nOutput: 4\n\nInput: 1\nOutput: 2\n\nInput: 9935\nOutput: 14\n\nInput: 21395\nOutput: 7\n\nInput: 2\nOutput: 4\n\nInput: 2679\nOutput: 11\n\nQuestion:\nWhat is the output of j(52858)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "13"} +{"instruction": "Based on the input–output examples below, infer the rule implemented by function q. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 832\n\nInput: 41\nOutput: 41\n\nInput: 45\nOutput: 54\n\nInput: 87397\nOutput: 98773\n\nInput: 242\nOutput: 422\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 9953\n\nInput: 21395\nOutput: 95321\n\nInput: 2\nOutput: 2\n\nInput: 2679\nOutput: 9762\n\nQuestion:\nWhat is the output of q(52879)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "98752"} +{"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: 6\n\nInput: 41\nOutput: 3\n\nInput: 45\nOutput: 1\n\nInput: 87397\nOutput: 6\n\nInput: 242\nOutput: 2\n\nInput: 1\nOutput: 0\n\nInput: 9935\nOutput: 6\n\nInput: 21395\nOutput: 8\n\nInput: 2\nOutput: 0\n\nInput: 2679\nOutput: 7\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": "4"} +{"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: 6\n\nInput: 41\nOutput: 3\n\nInput: 45\nOutput: 1\n\nInput: 87397\nOutput: 6\n\nInput: 242\nOutput: 2\n\nInput: 1\nOutput: 0\n\nInput: 9935\nOutput: 6\n\nInput: 21395\nOutput: 8\n\nInput: 2\nOutput: 0\n\nInput: 2679\nOutput: 7\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": "5"} +{"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: 48\n\nInput: 41\nOutput: 4\n\nInput: 45\nOutput: 20\n\nInput: 87397\nOutput: 10584\n\nInput: 242\nOutput: 16\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 1215\n\nInput: 21395\nOutput: 270\n\nInput: 2\nOutput: 2\n\nInput: 2679\nOutput: 756\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": "162"} +{"instruction": "Based on the input–output examples below, infer the rule implemented by function m. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 3\n\nInput: 41\nOutput: 2\n\nInput: 45\nOutput: 2\n\nInput: 87397\nOutput: 4\n\nInput: 242\nOutput: 2\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 3\n\nInput: 21395\nOutput: 5\n\nInput: 2\nOutput: 1\n\nInput: 2679\nOutput: 4\n\nQuestion:\nWhat is the output of m(52879)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "5"} +{"instruction": "Based on the input–output examples below, infer the rule implemented by function t. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 24\n\nInput: 41\nOutput: 4\n\nInput: 45\nOutput: 20\n\nInput: 87397\nOutput: 56\n\nInput: 242\nOutput: 4\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 45\n\nInput: 21395\nOutput: 10\n\nInput: 2\nOutput: 4\n\nInput: 2679\nOutput: 18\n\nQuestion:\nWhat is the output of t(60174)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "24"} +{"instruction": "Based on the input–output examples below, infer the rule implemented by function s. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 26\n\nInput: 41\nOutput: 10\n\nInput: 45\nOutput: 18\n\nInput: 87397\nOutput: 68\n\nInput: 242\nOutput: 16\n\nInput: 1\nOutput: 2\n\nInput: 9935\nOutput: 52\n\nInput: 21395\nOutput: 40\n\nInput: 2\nOutput: 4\n\nInput: 2679\nOutput: 48\n\nQuestion:\nWhat is the output of s(58598)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "70"} +{"instruction": "Based on the input–output examples below, infer the rule implemented by function r. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 0\n\nInput: 41\nOutput: 0\n\nInput: 45\nOutput: 0\n\nInput: 87397\nOutput: 0\n\nInput: 242\nOutput: 0\n\nInput: 1\nOutput: 0\n\nInput: 9935\nOutput: 0\n\nInput: 21395\nOutput: 0\n\nInput: 2\nOutput: 0\n\nInput: 2679\nOutput: 0\n\nQuestion:\nWhat is the output of r(58733)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "0"} +{"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: 8\n\nInput: 41\nOutput: 4\n\nInput: 45\nOutput: 5\n\nInput: 87397\nOutput: 9\n\nInput: 242\nOutput: 4\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 9\n\nInput: 21395\nOutput: 9\n\nInput: 2\nOutput: 2\n\nInput: 2679\nOutput: 9\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": "8"} +{"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: 3\n\nInput: 41\nOutput: 2\n\nInput: 45\nOutput: 2\n\nInput: 87397\nOutput: 5\n\nInput: 242\nOutput: 3\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 4\n\nInput: 21395\nOutput: 5\n\nInput: 2\nOutput: 1\n\nInput: 2679\nOutput: 4\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": "5"} +{"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: 13\n\nInput: 41\nOutput: 5\n\nInput: 45\nOutput: 9\n\nInput: 87397\nOutput: 34\n\nInput: 242\nOutput: 8\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 26\n\nInput: 21395\nOutput: 20\n\nInput: 2\nOutput: 2\n\nInput: 2679\nOutput: 24\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": "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: 48\n\nInput: 41\nOutput: 4\n\nInput: 45\nOutput: 20\n\nInput: 87397\nOutput: 10584\n\nInput: 242\nOutput: 16\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 1215\n\nInput: 21395\nOutput: 270\n\nInput: 2\nOutput: 2\n\nInput: 2679\nOutput: 756\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": "24"} +{"instruction": "Based on the input–output examples below, infer the rule implemented by function k. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 2\n\nInput: 41\nOutput: 1\n\nInput: 45\nOutput: 1\n\nInput: 87397\nOutput: 1\n\nInput: 242\nOutput: 3\n\nInput: 1\nOutput: 0\n\nInput: 9935\nOutput: 0\n\nInput: 21395\nOutput: 1\n\nInput: 2\nOutput: 1\n\nInput: 2679\nOutput: 2\n\nQuestion:\nWhat is the output of k(66444)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "5"} +{"instruction": "Based on the input–output examples below, infer the rule implemented by function k. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 2\n\nInput: 41\nOutput: 1\n\nInput: 45\nOutput: 1\n\nInput: 87397\nOutput: 1\n\nInput: 242\nOutput: 3\n\nInput: 1\nOutput: 0\n\nInput: 9935\nOutput: 0\n\nInput: 21395\nOutput: 1\n\nInput: 2\nOutput: 1\n\nInput: 2679\nOutput: 2\n\nQuestion:\nWhat is the output of k(13453)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "1"} +{"instruction": "Based on the input–output examples below, infer the rule implemented by function c. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 3\n\nInput: 41\nOutput: 2\n\nInput: 45\nOutput: 2\n\nInput: 87397\nOutput: 5\n\nInput: 242\nOutput: 3\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 4\n\nInput: 21395\nOutput: 5\n\nInput: 2\nOutput: 1\n\nInput: 2679\nOutput: 4\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": "4"} +{"instruction": "Based on the input–output examples below, infer the rule implemented by function p. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 238\n\nInput: 41\nOutput: 14\n\nInput: 45\nOutput: 45\n\nInput: 87397\nOutput: 37789\n\nInput: 242\nOutput: 224\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 3599\n\nInput: 21395\nOutput: 12359\n\nInput: 2\nOutput: 2\n\nInput: 2679\nOutput: 2679\n\nQuestion:\nWhat is the output of p(72154)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "12457"} +{"instruction": "Based on the input–output examples below, infer the rule implemented by function r. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 0\n\nInput: 41\nOutput: 0\n\nInput: 45\nOutput: 0\n\nInput: 87397\nOutput: 0\n\nInput: 242\nOutput: 0\n\nInput: 1\nOutput: 0\n\nInput: 9935\nOutput: 0\n\nInput: 21395\nOutput: 0\n\nInput: 2\nOutput: 0\n\nInput: 2679\nOutput: 0\n\nQuestion:\nWhat is the output of r(66444)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "0"} +{"instruction": "Based on the input–output examples below, infer the rule implemented by function i. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 823\n\nInput: 41\nOutput: 14\n\nInput: 45\nOutput: 54\n\nInput: 87397\nOutput: 79378\n\nInput: 242\nOutput: 242\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 5399\n\nInput: 21395\nOutput: 59312\n\nInput: 2\nOutput: 2\n\nInput: 2679\nOutput: 9762\n\nQuestion:\nWhat is the output of i(58733)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "33785"} +{"instruction": "Based on the input–output examples below, infer the rule implemented by function l. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 1\n\nInput: 41\nOutput: 1\n\nInput: 45\nOutput: 1\n\nInput: 87397\nOutput: 4\n\nInput: 242\nOutput: 0\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 4\n\nInput: 21395\nOutput: 4\n\nInput: 2\nOutput: 0\n\nInput: 2679\nOutput: 2\n\nQuestion:\nWhat is the output of l(49628)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "1"} +{"instruction": "Based on the input–output examples below, infer the rule implemented by function i. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 823\n\nInput: 41\nOutput: 14\n\nInput: 45\nOutput: 54\n\nInput: 87397\nOutput: 79378\n\nInput: 242\nOutput: 242\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 5399\n\nInput: 21395\nOutput: 59312\n\nInput: 2\nOutput: 2\n\nInput: 2679\nOutput: 9762\n\nQuestion:\nWhat is the output of i(10332)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "23301"} +{"instruction": "Based on the input–output examples below, infer the rule implemented by function l. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 1\n\nInput: 41\nOutput: 1\n\nInput: 45\nOutput: 1\n\nInput: 87397\nOutput: 4\n\nInput: 242\nOutput: 0\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 4\n\nInput: 21395\nOutput: 4\n\nInput: 2\nOutput: 0\n\nInput: 2679\nOutput: 2\n\nQuestion:\nWhat is the output of l(73024)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "2"} +{"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: 3\n\nInput: 41\nOutput: 4\n\nInput: 45\nOutput: 4\n\nInput: 87397\nOutput: 8\n\nInput: 242\nOutput: 2\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 9\n\nInput: 21395\nOutput: 2\n\nInput: 2\nOutput: 2\n\nInput: 2679\nOutput: 2\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": "2"} +{"instruction": "Based on the input–output examples below, infer the rule implemented by function l. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 1\n\nInput: 41\nOutput: 1\n\nInput: 45\nOutput: 1\n\nInput: 87397\nOutput: 4\n\nInput: 242\nOutput: 0\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 4\n\nInput: 21395\nOutput: 4\n\nInput: 2\nOutput: 0\n\nInput: 2679\nOutput: 2\n\nQuestion:\nWhat is the output of l(15559)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "5"} +{"instruction": "Based on the input–output examples below, infer the rule implemented by function s. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 26\n\nInput: 41\nOutput: 10\n\nInput: 45\nOutput: 18\n\nInput: 87397\nOutput: 68\n\nInput: 242\nOutput: 16\n\nInput: 1\nOutput: 2\n\nInput: 9935\nOutput: 52\n\nInput: 21395\nOutput: 40\n\nInput: 2\nOutput: 4\n\nInput: 2679\nOutput: 48\n\nQuestion:\nWhat is the output of s(73024)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "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: 3\n\nInput: 41\nOutput: 4\n\nInput: 45\nOutput: 4\n\nInput: 87397\nOutput: 8\n\nInput: 242\nOutput: 2\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 9\n\nInput: 21395\nOutput: 2\n\nInput: 2\nOutput: 2\n\nInput: 2679\nOutput: 2\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": "1"} +{"instruction": "Based on the input–output examples below, infer the rule implemented by function t. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 24\n\nInput: 41\nOutput: 4\n\nInput: 45\nOutput: 20\n\nInput: 87397\nOutput: 56\n\nInput: 242\nOutput: 4\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 45\n\nInput: 21395\nOutput: 10\n\nInput: 2\nOutput: 4\n\nInput: 2679\nOutput: 18\n\nQuestion:\nWhat is the output of t(54046)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "30"} +{"instruction": "Based on the input–output examples below, infer the rule implemented by function r. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 0\n\nInput: 41\nOutput: 0\n\nInput: 45\nOutput: 0\n\nInput: 87397\nOutput: 0\n\nInput: 242\nOutput: 0\n\nInput: 1\nOutput: 0\n\nInput: 9935\nOutput: 0\n\nInput: 21395\nOutput: 0\n\nInput: 2\nOutput: 0\n\nInput: 2679\nOutput: 0\n\nQuestion:\nWhat is the output of r(41426)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "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: 3\n\nInput: 41\nOutput: 2\n\nInput: 45\nOutput: 2\n\nInput: 87397\nOutput: 5\n\nInput: 242\nOutput: 3\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 4\n\nInput: 21395\nOutput: 5\n\nInput: 2\nOutput: 1\n\nInput: 2679\nOutput: 4\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": "5"} +{"instruction": "Based on the input–output examples below, infer the rule implemented by function j. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 11\n\nInput: 41\nOutput: 5\n\nInput: 45\nOutput: 9\n\nInput: 87397\nOutput: 15\n\nInput: 242\nOutput: 4\n\nInput: 1\nOutput: 2\n\nInput: 9935\nOutput: 14\n\nInput: 21395\nOutput: 7\n\nInput: 2\nOutput: 4\n\nInput: 2679\nOutput: 11\n\nQuestion:\nWhat is the output of j(2329)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "11"} +{"instruction": "Based on the input–output examples below, infer the rule implemented by function n. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 4\n\nInput: 41\nOutput: 5\n\nInput: 45\nOutput: 9\n\nInput: 87397\nOutput: 7\n\nInput: 242\nOutput: 8\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 8\n\nInput: 21395\nOutput: 2\n\nInput: 2\nOutput: 2\n\nInput: 2679\nOutput: 6\n\nQuestion:\nWhat is the output of n(58733)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "8"} +{"instruction": "Based on the input–output examples below, infer the rule implemented by function i. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 823\n\nInput: 41\nOutput: 14\n\nInput: 45\nOutput: 54\n\nInput: 87397\nOutput: 79378\n\nInput: 242\nOutput: 242\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 5399\n\nInput: 21395\nOutput: 59312\n\nInput: 2\nOutput: 2\n\nInput: 2679\nOutput: 9762\n\nQuestion:\nWhat is the output of i(66444)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "44466"} +{"instruction": "Based on the input–output examples below, infer the rule implemented by function k. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 2\n\nInput: 41\nOutput: 1\n\nInput: 45\nOutput: 1\n\nInput: 87397\nOutput: 1\n\nInput: 242\nOutput: 3\n\nInput: 1\nOutput: 0\n\nInput: 9935\nOutput: 0\n\nInput: 21395\nOutput: 1\n\nInput: 2\nOutput: 1\n\nInput: 2679\nOutput: 2\n\nQuestion:\nWhat is the output of k(52879)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "2"} +{"instruction": "Based on the input–output examples below, infer the rule implemented by function n. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 4\n\nInput: 41\nOutput: 5\n\nInput: 45\nOutput: 9\n\nInput: 87397\nOutput: 7\n\nInput: 242\nOutput: 8\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 8\n\nInput: 21395\nOutput: 2\n\nInput: 2\nOutput: 2\n\nInput: 2679\nOutput: 6\n\nQuestion:\nWhat is the output of n(13453)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "7"} +{"instruction": "Based on the input–output examples below, infer the rule implemented by function p. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 238\n\nInput: 41\nOutput: 14\n\nInput: 45\nOutput: 45\n\nInput: 87397\nOutput: 37789\n\nInput: 242\nOutput: 224\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 3599\n\nInput: 21395\nOutput: 12359\n\nInput: 2\nOutput: 2\n\nInput: 2679\nOutput: 2679\n\nQuestion:\nWhat is the output of p(11536)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "11356"} +{"instruction": "Based on the input–output examples below, infer the rule implemented by function p. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 238\n\nInput: 41\nOutput: 14\n\nInput: 45\nOutput: 45\n\nInput: 87397\nOutput: 37789\n\nInput: 242\nOutput: 224\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 3599\n\nInput: 21395\nOutput: 12359\n\nInput: 2\nOutput: 2\n\nInput: 2679\nOutput: 2679\n\nQuestion:\nWhat is the output of p(52879)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "25789"} +{"instruction": "Based on the input–output examples below, infer the rule implemented by function o. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 77\n\nInput: 41\nOutput: 17\n\nInput: 45\nOutput: 41\n\nInput: 87397\nOutput: 252\n\nInput: 242\nOutput: 24\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 196\n\nInput: 21395\nOutput: 120\n\nInput: 2\nOutput: 4\n\nInput: 2679\nOutput: 170\n\nQuestion:\nWhat is the output of o(54046)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "93"} +{"instruction": "Based on the input–output examples below, infer the rule implemented by function l. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 1\n\nInput: 41\nOutput: 1\n\nInput: 45\nOutput: 1\n\nInput: 87397\nOutput: 4\n\nInput: 242\nOutput: 0\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 4\n\nInput: 21395\nOutput: 4\n\nInput: 2\nOutput: 0\n\nInput: 2679\nOutput: 2\n\nQuestion:\nWhat is the output of l(58220)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "1"} +{"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: 2\n\nInput: 41\nOutput: 1\n\nInput: 45\nOutput: 4\n\nInput: 87397\nOutput: 3\n\nInput: 242\nOutput: 2\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 3\n\nInput: 21395\nOutput: 1\n\nInput: 2\nOutput: 2\n\nInput: 2679\nOutput: 2\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": "5"} +{"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: 48\n\nInput: 41\nOutput: 4\n\nInput: 45\nOutput: 20\n\nInput: 87397\nOutput: 10584\n\nInput: 242\nOutput: 16\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 1215\n\nInput: 21395\nOutput: 270\n\nInput: 2\nOutput: 2\n\nInput: 2679\nOutput: 756\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": "14400"} +{"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: 3\n\nInput: 41\nOutput: 4\n\nInput: 45\nOutput: 4\n\nInput: 87397\nOutput: 8\n\nInput: 242\nOutput: 2\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 9\n\nInput: 21395\nOutput: 2\n\nInput: 2\nOutput: 2\n\nInput: 2679\nOutput: 2\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": "6"} +{"instruction": "Based on the input–output examples below, infer the rule implemented by function i. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 823\n\nInput: 41\nOutput: 14\n\nInput: 45\nOutput: 54\n\nInput: 87397\nOutput: 79378\n\nInput: 242\nOutput: 242\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 5399\n\nInput: 21395\nOutput: 59312\n\nInput: 2\nOutput: 2\n\nInput: 2679\nOutput: 9762\n\nQuestion:\nWhat is the output of i(52879)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "97825"} +{"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: 8\n\nInput: 41\nOutput: 1\n\nInput: 45\nOutput: 5\n\nInput: 87397\nOutput: 7\n\nInput: 242\nOutput: 2\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 5\n\nInput: 21395\nOutput: 5\n\nInput: 2\nOutput: 2\n\nInput: 2679\nOutput: 9\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": "4"} +{"instruction": "Based on the input–output examples below, infer the rule implemented by function t. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 24\n\nInput: 41\nOutput: 4\n\nInput: 45\nOutput: 20\n\nInput: 87397\nOutput: 56\n\nInput: 242\nOutput: 4\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 45\n\nInput: 21395\nOutput: 10\n\nInput: 2\nOutput: 4\n\nInput: 2679\nOutput: 18\n\nQuestion:\nWhat is the output of t(29190)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "0"} +{"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: 2\n\nInput: 41\nOutput: 1\n\nInput: 45\nOutput: 4\n\nInput: 87397\nOutput: 3\n\nInput: 242\nOutput: 2\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 3\n\nInput: 21395\nOutput: 1\n\nInput: 2\nOutput: 2\n\nInput: 2679\nOutput: 2\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": "0"} +{"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: 48\n\nInput: 41\nOutput: 4\n\nInput: 45\nOutput: 20\n\nInput: 87397\nOutput: 10584\n\nInput: 242\nOutput: 16\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 1215\n\nInput: 21395\nOutput: 270\n\nInput: 2\nOutput: 2\n\nInput: 2679\nOutput: 756\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": "5760"} +{"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: 8\n\nInput: 41\nOutput: 1\n\nInput: 45\nOutput: 5\n\nInput: 87397\nOutput: 7\n\nInput: 242\nOutput: 2\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 5\n\nInput: 21395\nOutput: 5\n\nInput: 2\nOutput: 2\n\nInput: 2679\nOutput: 9\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": "6"} +{"instruction": "Based on the input–output examples below, infer the rule implemented by function o. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 77\n\nInput: 41\nOutput: 17\n\nInput: 45\nOutput: 41\n\nInput: 87397\nOutput: 252\n\nInput: 242\nOutput: 24\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 196\n\nInput: 21395\nOutput: 120\n\nInput: 2\nOutput: 4\n\nInput: 2679\nOutput: 170\n\nQuestion:\nWhat is the output of o(15559)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "157"} +{"instruction": "Based on the input–output examples below, infer the rule implemented by function s. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 26\n\nInput: 41\nOutput: 10\n\nInput: 45\nOutput: 18\n\nInput: 87397\nOutput: 68\n\nInput: 242\nOutput: 16\n\nInput: 1\nOutput: 2\n\nInput: 9935\nOutput: 52\n\nInput: 21395\nOutput: 40\n\nInput: 2\nOutput: 4\n\nInput: 2679\nOutput: 48\n\nQuestion:\nWhat is the output of s(54046)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "38"} +{"instruction": "Based on the input–output examples below, infer the rule implemented by function l. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 1\n\nInput: 41\nOutput: 1\n\nInput: 45\nOutput: 1\n\nInput: 87397\nOutput: 4\n\nInput: 242\nOutput: 0\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 4\n\nInput: 21395\nOutput: 4\n\nInput: 2\nOutput: 0\n\nInput: 2679\nOutput: 2\n\nQuestion:\nWhat is the output of l(13453)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "4"} +{"instruction": "Based on the input–output examples below, infer the rule implemented by function o. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 77\n\nInput: 41\nOutput: 17\n\nInput: 45\nOutput: 41\n\nInput: 87397\nOutput: 252\n\nInput: 242\nOutput: 24\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 196\n\nInput: 21395\nOutput: 120\n\nInput: 2\nOutput: 4\n\nInput: 2679\nOutput: 170\n\nQuestion:\nWhat is the output of o(66444)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "120"} +{"instruction": "Based on the input–output examples below, infer the rule implemented by function t. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 24\n\nInput: 41\nOutput: 4\n\nInput: 45\nOutput: 20\n\nInput: 87397\nOutput: 56\n\nInput: 242\nOutput: 4\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 45\n\nInput: 21395\nOutput: 10\n\nInput: 2\nOutput: 4\n\nInput: 2679\nOutput: 18\n\nQuestion:\nWhat is the output of t(73024)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "28"} +{"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: 3\n\nInput: 41\nOutput: 4\n\nInput: 45\nOutput: 4\n\nInput: 87397\nOutput: 8\n\nInput: 242\nOutput: 2\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 9\n\nInput: 21395\nOutput: 2\n\nInput: 2\nOutput: 2\n\nInput: 2679\nOutput: 2\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": "9"} +{"instruction": "Based on the input–output examples below, infer the rule implemented by function s. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 26\n\nInput: 41\nOutput: 10\n\nInput: 45\nOutput: 18\n\nInput: 87397\nOutput: 68\n\nInput: 242\nOutput: 16\n\nInput: 1\nOutput: 2\n\nInput: 9935\nOutput: 52\n\nInput: 21395\nOutput: 40\n\nInput: 2\nOutput: 4\n\nInput: 2679\nOutput: 48\n\nQuestion:\nWhat is the output of s(97679)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "76"} +{"instruction": "Based on the input–output examples below, infer the rule implemented by function j. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 11\n\nInput: 41\nOutput: 5\n\nInput: 45\nOutput: 9\n\nInput: 87397\nOutput: 15\n\nInput: 242\nOutput: 4\n\nInput: 1\nOutput: 2\n\nInput: 9935\nOutput: 14\n\nInput: 21395\nOutput: 7\n\nInput: 2\nOutput: 4\n\nInput: 2679\nOutput: 11\n\nQuestion:\nWhat is the output of j(72154)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "11"} +{"instruction": "Based on the input–output examples below, infer the rule implemented by function q. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 832\n\nInput: 41\nOutput: 41\n\nInput: 45\nOutput: 54\n\nInput: 87397\nOutput: 98773\n\nInput: 242\nOutput: 422\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 9953\n\nInput: 21395\nOutput: 95321\n\nInput: 2\nOutput: 2\n\nInput: 2679\nOutput: 9762\n\nQuestion:\nWhat is the output of q(2329)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "9322"} +{"instruction": "Based on the input–output examples below, infer the rule implemented by function t. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 24\n\nInput: 41\nOutput: 4\n\nInput: 45\nOutput: 20\n\nInput: 87397\nOutput: 56\n\nInput: 242\nOutput: 4\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 45\n\nInput: 21395\nOutput: 10\n\nInput: 2\nOutput: 4\n\nInput: 2679\nOutput: 18\n\nQuestion:\nWhat is the output of t(10332)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "2"} +{"instruction": "Based on the input–output examples below, infer the rule implemented by function r. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 0\n\nInput: 41\nOutput: 0\n\nInput: 45\nOutput: 0\n\nInput: 87397\nOutput: 0\n\nInput: 242\nOutput: 0\n\nInput: 1\nOutput: 0\n\nInput: 9935\nOutput: 0\n\nInput: 21395\nOutput: 0\n\nInput: 2\nOutput: 0\n\nInput: 2679\nOutput: 0\n\nQuestion:\nWhat is the output of r(97679)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "0"} +{"instruction": "Based on the input–output examples below, infer the rule implemented by function k. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 2\n\nInput: 41\nOutput: 1\n\nInput: 45\nOutput: 1\n\nInput: 87397\nOutput: 1\n\nInput: 242\nOutput: 3\n\nInput: 1\nOutput: 0\n\nInput: 9935\nOutput: 0\n\nInput: 21395\nOutput: 1\n\nInput: 2\nOutput: 1\n\nInput: 2679\nOutput: 2\n\nQuestion:\nWhat is the output of k(49628)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "4"} +{"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: 8\n\nInput: 41\nOutput: 4\n\nInput: 45\nOutput: 5\n\nInput: 87397\nOutput: 9\n\nInput: 242\nOutput: 4\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 9\n\nInput: 21395\nOutput: 9\n\nInput: 2\nOutput: 2\n\nInput: 2679\nOutput: 9\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": "7"} +{"instruction": "Based on the input–output examples below, infer the rule implemented by function q. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 832\n\nInput: 41\nOutput: 41\n\nInput: 45\nOutput: 54\n\nInput: 87397\nOutput: 98773\n\nInput: 242\nOutput: 422\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 9953\n\nInput: 21395\nOutput: 95321\n\nInput: 2\nOutput: 2\n\nInput: 2679\nOutput: 9762\n\nQuestion:\nWhat is the output of q(72154)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "75421"} +{"instruction": "Based on the input–output examples below, infer the rule implemented by function m. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 3\n\nInput: 41\nOutput: 2\n\nInput: 45\nOutput: 2\n\nInput: 87397\nOutput: 4\n\nInput: 242\nOutput: 2\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 3\n\nInput: 21395\nOutput: 5\n\nInput: 2\nOutput: 1\n\nInput: 2679\nOutput: 4\n\nQuestion:\nWhat is the output of m(72154)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "5"} +{"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: 48\n\nInput: 41\nOutput: 4\n\nInput: 45\nOutput: 20\n\nInput: 87397\nOutput: 10584\n\nInput: 242\nOutput: 16\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 1215\n\nInput: 21395\nOutput: 270\n\nInput: 2\nOutput: 2\n\nInput: 2679\nOutput: 756\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": "280"} +{"instruction": "Based on the input–output examples below, infer the rule implemented by function n. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 4\n\nInput: 41\nOutput: 5\n\nInput: 45\nOutput: 9\n\nInput: 87397\nOutput: 7\n\nInput: 242\nOutput: 8\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 8\n\nInput: 21395\nOutput: 2\n\nInput: 2\nOutput: 2\n\nInput: 2679\nOutput: 6\n\nQuestion:\nWhat is the output of n(65333)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "2"} +{"instruction": "Based on the input–output examples below, infer the rule implemented by function n. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 4\n\nInput: 41\nOutput: 5\n\nInput: 45\nOutput: 9\n\nInput: 87397\nOutput: 7\n\nInput: 242\nOutput: 8\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 8\n\nInput: 21395\nOutput: 2\n\nInput: 2\nOutput: 2\n\nInput: 2679\nOutput: 6\n\nQuestion:\nWhat is the output of n(73024)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "7"} +{"instruction": "Based on the input–output examples below, infer the rule implemented by function s. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 26\n\nInput: 41\nOutput: 10\n\nInput: 45\nOutput: 18\n\nInput: 87397\nOutput: 68\n\nInput: 242\nOutput: 16\n\nInput: 1\nOutput: 2\n\nInput: 9935\nOutput: 52\n\nInput: 21395\nOutput: 40\n\nInput: 2\nOutput: 4\n\nInput: 2679\nOutput: 48\n\nQuestion:\nWhat is the output of s(6599)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "58"} +{"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: 3\n\nInput: 41\nOutput: 4\n\nInput: 45\nOutput: 4\n\nInput: 87397\nOutput: 8\n\nInput: 242\nOutput: 2\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 9\n\nInput: 21395\nOutput: 2\n\nInput: 2\nOutput: 2\n\nInput: 2679\nOutput: 2\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": "7"} +{"instruction": "Based on the input–output examples below, infer the rule implemented by function n. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 4\n\nInput: 41\nOutput: 5\n\nInput: 45\nOutput: 9\n\nInput: 87397\nOutput: 7\n\nInput: 242\nOutput: 8\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 8\n\nInput: 21395\nOutput: 2\n\nInput: 2\nOutput: 2\n\nInput: 2679\nOutput: 6\n\nQuestion:\nWhat is the output of n(75108)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "3"} +{"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: 2\n\nInput: 41\nOutput: 1\n\nInput: 45\nOutput: 4\n\nInput: 87397\nOutput: 3\n\nInput: 242\nOutput: 2\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 3\n\nInput: 21395\nOutput: 1\n\nInput: 2\nOutput: 2\n\nInput: 2679\nOutput: 2\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": "0"} +{"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: 6\n\nInput: 41\nOutput: 3\n\nInput: 45\nOutput: 1\n\nInput: 87397\nOutput: 6\n\nInput: 242\nOutput: 2\n\nInput: 1\nOutput: 0\n\nInput: 9935\nOutput: 6\n\nInput: 21395\nOutput: 8\n\nInput: 2\nOutput: 0\n\nInput: 2679\nOutput: 7\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": "3"} +{"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: 6\n\nInput: 41\nOutput: 3\n\nInput: 45\nOutput: 1\n\nInput: 87397\nOutput: 6\n\nInput: 242\nOutput: 2\n\nInput: 1\nOutput: 0\n\nInput: 9935\nOutput: 6\n\nInput: 21395\nOutput: 8\n\nInput: 2\nOutput: 0\n\nInput: 2679\nOutput: 7\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": "6"} +{"instruction": "Based on the input–output examples below, infer the rule implemented by function d. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 8\n\nInput: 41\nOutput: 4\n\nInput: 45\nOutput: 5\n\nInput: 87397\nOutput: 9\n\nInput: 242\nOutput: 4\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 9\n\nInput: 21395\nOutput: 9\n\nInput: 2\nOutput: 2\n\nInput: 2679\nOutput: 9\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": "9"} +{"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: 6\n\nInput: 41\nOutput: 3\n\nInput: 45\nOutput: 1\n\nInput: 87397\nOutput: 6\n\nInput: 242\nOutput: 2\n\nInput: 1\nOutput: 0\n\nInput: 9935\nOutput: 6\n\nInput: 21395\nOutput: 8\n\nInput: 2\nOutput: 0\n\nInput: 2679\nOutput: 7\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": "6"} +{"instruction": "Based on the input–output examples below, infer the rule implemented by function n. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 4\n\nInput: 41\nOutput: 5\n\nInput: 45\nOutput: 9\n\nInput: 87397\nOutput: 7\n\nInput: 242\nOutput: 8\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 8\n\nInput: 21395\nOutput: 2\n\nInput: 2\nOutput: 2\n\nInput: 2679\nOutput: 6\n\nQuestion:\nWhat is the output of n(15559)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "7"} +{"instruction": "Based on the input–output examples below, infer the rule implemented by function j. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 11\n\nInput: 41\nOutput: 5\n\nInput: 45\nOutput: 9\n\nInput: 87397\nOutput: 15\n\nInput: 242\nOutput: 4\n\nInput: 1\nOutput: 2\n\nInput: 9935\nOutput: 14\n\nInput: 21395\nOutput: 7\n\nInput: 2\nOutput: 4\n\nInput: 2679\nOutput: 11\n\nQuestion:\nWhat is the output of j(29190)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "2"} +{"instruction": "Based on the input–output examples below, infer the rule implemented by function s. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 26\n\nInput: 41\nOutput: 10\n\nInput: 45\nOutput: 18\n\nInput: 87397\nOutput: 68\n\nInput: 242\nOutput: 16\n\nInput: 1\nOutput: 2\n\nInput: 9935\nOutput: 52\n\nInput: 21395\nOutput: 40\n\nInput: 2\nOutput: 4\n\nInput: 2679\nOutput: 48\n\nQuestion:\nWhat is the output of s(58733)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "52"} +{"instruction": "Based on the input–output examples below, infer the rule implemented by function r. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 0\n\nInput: 41\nOutput: 0\n\nInput: 45\nOutput: 0\n\nInput: 87397\nOutput: 0\n\nInput: 242\nOutput: 0\n\nInput: 1\nOutput: 0\n\nInput: 9935\nOutput: 0\n\nInput: 21395\nOutput: 0\n\nInput: 2\nOutput: 0\n\nInput: 2679\nOutput: 0\n\nQuestion:\nWhat is the output of r(4696)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "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: 3\n\nInput: 41\nOutput: 2\n\nInput: 45\nOutput: 2\n\nInput: 87397\nOutput: 5\n\nInput: 242\nOutput: 3\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 4\n\nInput: 21395\nOutput: 5\n\nInput: 2\nOutput: 1\n\nInput: 2679\nOutput: 4\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": "5"} +{"instruction": "Based on the input–output examples below, infer the rule implemented by function t. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 24\n\nInput: 41\nOutput: 4\n\nInput: 45\nOutput: 20\n\nInput: 87397\nOutput: 56\n\nInput: 242\nOutput: 4\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 45\n\nInput: 21395\nOutput: 10\n\nInput: 2\nOutput: 4\n\nInput: 2679\nOutput: 18\n\nQuestion:\nWhat is the output of t(85638)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "64"} +{"instruction": "Based on the input–output examples below, infer the rule implemented by function r. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 0\n\nInput: 41\nOutput: 0\n\nInput: 45\nOutput: 0\n\nInput: 87397\nOutput: 0\n\nInput: 242\nOutput: 0\n\nInput: 1\nOutput: 0\n\nInput: 9935\nOutput: 0\n\nInput: 21395\nOutput: 0\n\nInput: 2\nOutput: 0\n\nInput: 2679\nOutput: 0\n\nQuestion:\nWhat is the output of r(10332)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "1"} +{"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: 3\n\nInput: 41\nOutput: 4\n\nInput: 45\nOutput: 4\n\nInput: 87397\nOutput: 8\n\nInput: 242\nOutput: 2\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 9\n\nInput: 21395\nOutput: 2\n\nInput: 2\nOutput: 2\n\nInput: 2679\nOutput: 2\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": "4"} +{"instruction": "Based on the input–output examples below, infer the rule implemented by function p. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 238\n\nInput: 41\nOutput: 14\n\nInput: 45\nOutput: 45\n\nInput: 87397\nOutput: 37789\n\nInput: 242\nOutput: 224\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 3599\n\nInput: 21395\nOutput: 12359\n\nInput: 2\nOutput: 2\n\nInput: 2679\nOutput: 2679\n\nQuestion:\nWhat is the output of p(6599)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "5699"} +{"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: 2\n\nInput: 41\nOutput: 1\n\nInput: 45\nOutput: 4\n\nInput: 87397\nOutput: 3\n\nInput: 242\nOutput: 2\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 3\n\nInput: 21395\nOutput: 1\n\nInput: 2\nOutput: 2\n\nInput: 2679\nOutput: 2\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": "1"} +{"instruction": "Based on the input–output examples below, infer the rule implemented by function n. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 4\n\nInput: 41\nOutput: 5\n\nInput: 45\nOutput: 9\n\nInput: 87397\nOutput: 7\n\nInput: 242\nOutput: 8\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 8\n\nInput: 21395\nOutput: 2\n\nInput: 2\nOutput: 2\n\nInput: 2679\nOutput: 6\n\nQuestion:\nWhat is the output of n(97679)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "2"} +{"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: 13\n\nInput: 41\nOutput: 5\n\nInput: 45\nOutput: 9\n\nInput: 87397\nOutput: 34\n\nInput: 242\nOutput: 8\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 26\n\nInput: 21395\nOutput: 20\n\nInput: 2\nOutput: 2\n\nInput: 2679\nOutput: 24\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": "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: 48\n\nInput: 41\nOutput: 4\n\nInput: 45\nOutput: 20\n\nInput: 87397\nOutput: 10584\n\nInput: 242\nOutput: 16\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 1215\n\nInput: 21395\nOutput: 270\n\nInput: 2\nOutput: 2\n\nInput: 2679\nOutput: 756\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": "180"} +{"instruction": "Based on the input–output examples below, infer the rule implemented by function o. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 77\n\nInput: 41\nOutput: 17\n\nInput: 45\nOutput: 41\n\nInput: 87397\nOutput: 252\n\nInput: 242\nOutput: 24\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 196\n\nInput: 21395\nOutput: 120\n\nInput: 2\nOutput: 4\n\nInput: 2679\nOutput: 170\n\nQuestion:\nWhat is the output of o(13453)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "60"} +{"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: 8\n\nInput: 41\nOutput: 4\n\nInput: 45\nOutput: 5\n\nInput: 87397\nOutput: 9\n\nInput: 242\nOutput: 4\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 9\n\nInput: 21395\nOutput: 9\n\nInput: 2\nOutput: 2\n\nInput: 2679\nOutput: 9\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": "9"} +{"instruction": "Based on the input–output examples below, infer the rule implemented by function l. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 1\n\nInput: 41\nOutput: 1\n\nInput: 45\nOutput: 1\n\nInput: 87397\nOutput: 4\n\nInput: 242\nOutput: 0\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 4\n\nInput: 21395\nOutput: 4\n\nInput: 2\nOutput: 0\n\nInput: 2679\nOutput: 2\n\nQuestion:\nWhat is the output of l(6599)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "3"} +{"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: 6\n\nInput: 41\nOutput: 3\n\nInput: 45\nOutput: 1\n\nInput: 87397\nOutput: 6\n\nInput: 242\nOutput: 2\n\nInput: 1\nOutput: 0\n\nInput: 9935\nOutput: 6\n\nInput: 21395\nOutput: 8\n\nInput: 2\nOutput: 0\n\nInput: 2679\nOutput: 7\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": "4"} +{"instruction": "Based on the input–output examples below, infer the rule implemented by function m. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 3\n\nInput: 41\nOutput: 2\n\nInput: 45\nOutput: 2\n\nInput: 87397\nOutput: 4\n\nInput: 242\nOutput: 2\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 3\n\nInput: 21395\nOutput: 5\n\nInput: 2\nOutput: 1\n\nInput: 2679\nOutput: 4\n\nQuestion:\nWhat is the output of m(41426)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "4"} +{"instruction": "Based on the input–output examples below, infer the rule implemented by function m. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 3\n\nInput: 41\nOutput: 2\n\nInput: 45\nOutput: 2\n\nInput: 87397\nOutput: 4\n\nInput: 242\nOutput: 2\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 3\n\nInput: 21395\nOutput: 5\n\nInput: 2\nOutput: 1\n\nInput: 2679\nOutput: 4\n\nQuestion:\nWhat is the output of m(30801)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "4"} +{"instruction": "Based on the input–output examples below, infer the rule implemented by function q. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 832\n\nInput: 41\nOutput: 41\n\nInput: 45\nOutput: 54\n\nInput: 87397\nOutput: 98773\n\nInput: 242\nOutput: 422\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 9953\n\nInput: 21395\nOutput: 95321\n\nInput: 2\nOutput: 2\n\nInput: 2679\nOutput: 9762\n\nQuestion:\nWhat is the output of q(73024)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "74320"} +{"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: 8\n\nInput: 41\nOutput: 1\n\nInput: 45\nOutput: 5\n\nInput: 87397\nOutput: 7\n\nInput: 242\nOutput: 2\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 5\n\nInput: 21395\nOutput: 5\n\nInput: 2\nOutput: 2\n\nInput: 2679\nOutput: 9\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": "9"} +{"instruction": "Based on the input–output examples below, infer the rule implemented by function l. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 1\n\nInput: 41\nOutput: 1\n\nInput: 45\nOutput: 1\n\nInput: 87397\nOutput: 4\n\nInput: 242\nOutput: 0\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 4\n\nInput: 21395\nOutput: 4\n\nInput: 2\nOutput: 0\n\nInput: 2679\nOutput: 2\n\nQuestion:\nWhat is the output of l(29190)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "3"} +{"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: 48\n\nInput: 41\nOutput: 4\n\nInput: 45\nOutput: 20\n\nInput: 87397\nOutput: 10584\n\nInput: 242\nOutput: 16\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 1215\n\nInput: 21395\nOutput: 270\n\nInput: 2\nOutput: 2\n\nInput: 2679\nOutput: 756\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": "160"} +{"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: 6\n\nInput: 41\nOutput: 3\n\nInput: 45\nOutput: 1\n\nInput: 87397\nOutput: 6\n\nInput: 242\nOutput: 2\n\nInput: 1\nOutput: 0\n\nInput: 9935\nOutput: 6\n\nInput: 21395\nOutput: 8\n\nInput: 2\nOutput: 0\n\nInput: 2679\nOutput: 7\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": "8"} +{"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: 3\n\nInput: 41\nOutput: 2\n\nInput: 45\nOutput: 2\n\nInput: 87397\nOutput: 5\n\nInput: 242\nOutput: 3\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 4\n\nInput: 21395\nOutput: 5\n\nInput: 2\nOutput: 1\n\nInput: 2679\nOutput: 4\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": "5"} +{"instruction": "Based on the input–output examples below, infer the rule implemented by function k. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 2\n\nInput: 41\nOutput: 1\n\nInput: 45\nOutput: 1\n\nInput: 87397\nOutput: 1\n\nInput: 242\nOutput: 3\n\nInput: 1\nOutput: 0\n\nInput: 9935\nOutput: 0\n\nInput: 21395\nOutput: 1\n\nInput: 2\nOutput: 1\n\nInput: 2679\nOutput: 2\n\nQuestion:\nWhat is the output of k(73024)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "3"} +{"instruction": "Based on the input–output examples below, infer the rule implemented by function j. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 11\n\nInput: 41\nOutput: 5\n\nInput: 45\nOutput: 9\n\nInput: 87397\nOutput: 15\n\nInput: 242\nOutput: 4\n\nInput: 1\nOutput: 2\n\nInput: 9935\nOutput: 14\n\nInput: 21395\nOutput: 7\n\nInput: 2\nOutput: 4\n\nInput: 2679\nOutput: 11\n\nQuestion:\nWhat is the output of j(13453)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "4"} +{"instruction": "Based on the input–output examples below, infer the rule implemented by function o. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 77\n\nInput: 41\nOutput: 17\n\nInput: 45\nOutput: 41\n\nInput: 87397\nOutput: 252\n\nInput: 242\nOutput: 24\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 196\n\nInput: 21395\nOutput: 120\n\nInput: 2\nOutput: 4\n\nInput: 2679\nOutput: 170\n\nQuestion:\nWhat is the output of o(49628)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "201"} +{"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: 13\n\nInput: 41\nOutput: 5\n\nInput: 45\nOutput: 9\n\nInput: 87397\nOutput: 34\n\nInput: 242\nOutput: 8\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 26\n\nInput: 21395\nOutput: 20\n\nInput: 2\nOutput: 2\n\nInput: 2679\nOutput: 24\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": "25"} +{"instruction": "Based on the input–output examples below, infer the rule implemented by function q. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 832\n\nInput: 41\nOutput: 41\n\nInput: 45\nOutput: 54\n\nInput: 87397\nOutput: 98773\n\nInput: 242\nOutput: 422\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 9953\n\nInput: 21395\nOutput: 95321\n\nInput: 2\nOutput: 2\n\nInput: 2679\nOutput: 9762\n\nQuestion:\nWhat is the output of q(97679)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "99776"} +{"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: 3\n\nInput: 41\nOutput: 4\n\nInput: 45\nOutput: 4\n\nInput: 87397\nOutput: 8\n\nInput: 242\nOutput: 2\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 9\n\nInput: 21395\nOutput: 2\n\nInput: 2\nOutput: 2\n\nInput: 2679\nOutput: 2\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": "1"} +{"instruction": "Based on the input–output examples below, infer the rule implemented by function m. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 3\n\nInput: 41\nOutput: 2\n\nInput: 45\nOutput: 2\n\nInput: 87397\nOutput: 4\n\nInput: 242\nOutput: 2\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 3\n\nInput: 21395\nOutput: 5\n\nInput: 2\nOutput: 1\n\nInput: 2679\nOutput: 4\n\nQuestion:\nWhat is the output of m(2329)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "3"} +{"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: 6\n\nInput: 41\nOutput: 3\n\nInput: 45\nOutput: 1\n\nInput: 87397\nOutput: 6\n\nInput: 242\nOutput: 2\n\nInput: 1\nOutput: 0\n\nInput: 9935\nOutput: 6\n\nInput: 21395\nOutput: 8\n\nInput: 2\nOutput: 0\n\nInput: 2679\nOutput: 7\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": "5"} +{"instruction": "Based on the input–output examples below, infer the rule implemented by function r. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 0\n\nInput: 41\nOutput: 0\n\nInput: 45\nOutput: 0\n\nInput: 87397\nOutput: 0\n\nInput: 242\nOutput: 0\n\nInput: 1\nOutput: 0\n\nInput: 9935\nOutput: 0\n\nInput: 21395\nOutput: 0\n\nInput: 2\nOutput: 0\n\nInput: 2679\nOutput: 0\n\nQuestion:\nWhat is the output of r(58598)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "0"} +{"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: 6\n\nInput: 41\nOutput: 3\n\nInput: 45\nOutput: 1\n\nInput: 87397\nOutput: 6\n\nInput: 242\nOutput: 2\n\nInput: 1\nOutput: 0\n\nInput: 9935\nOutput: 6\n\nInput: 21395\nOutput: 8\n\nInput: 2\nOutput: 0\n\nInput: 2679\nOutput: 7\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": "4"} +{"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: 48\n\nInput: 41\nOutput: 4\n\nInput: 45\nOutput: 20\n\nInput: 87397\nOutput: 10584\n\nInput: 242\nOutput: 16\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 1215\n\nInput: 21395\nOutput: 270\n\nInput: 2\nOutput: 2\n\nInput: 2679\nOutput: 756\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": "168"} +{"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: 6\n\nInput: 41\nOutput: 3\n\nInput: 45\nOutput: 1\n\nInput: 87397\nOutput: 6\n\nInput: 242\nOutput: 2\n\nInput: 1\nOutput: 0\n\nInput: 9935\nOutput: 6\n\nInput: 21395\nOutput: 8\n\nInput: 2\nOutput: 0\n\nInput: 2679\nOutput: 7\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": "3"} +{"instruction": "Based on the input–output examples below, infer the rule implemented by function t. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 24\n\nInput: 41\nOutput: 4\n\nInput: 45\nOutput: 20\n\nInput: 87397\nOutput: 56\n\nInput: 242\nOutput: 4\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 45\n\nInput: 21395\nOutput: 10\n\nInput: 2\nOutput: 4\n\nInput: 2679\nOutput: 18\n\nQuestion:\nWhat is the output of t(52879)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "45"} +{"instruction": "Based on the input–output examples below, infer the rule implemented by function t. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 24\n\nInput: 41\nOutput: 4\n\nInput: 45\nOutput: 20\n\nInput: 87397\nOutput: 56\n\nInput: 242\nOutput: 4\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 45\n\nInput: 21395\nOutput: 10\n\nInput: 2\nOutput: 4\n\nInput: 2679\nOutput: 18\n\nQuestion:\nWhat is the output of t(58220)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "0"} +{"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: 8\n\nInput: 41\nOutput: 1\n\nInput: 45\nOutput: 5\n\nInput: 87397\nOutput: 7\n\nInput: 242\nOutput: 2\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 5\n\nInput: 21395\nOutput: 5\n\nInput: 2\nOutput: 2\n\nInput: 2679\nOutput: 9\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": "6"} +{"instruction": "Based on the input–output examples below, infer the rule implemented by function p. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 238\n\nInput: 41\nOutput: 14\n\nInput: 45\nOutput: 45\n\nInput: 87397\nOutput: 37789\n\nInput: 242\nOutput: 224\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 3599\n\nInput: 21395\nOutput: 12359\n\nInput: 2\nOutput: 2\n\nInput: 2679\nOutput: 2679\n\nQuestion:\nWhat is the output of p(58220)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "2258"} +{"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: 2\n\nInput: 41\nOutput: 1\n\nInput: 45\nOutput: 4\n\nInput: 87397\nOutput: 3\n\nInput: 242\nOutput: 2\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 3\n\nInput: 21395\nOutput: 1\n\nInput: 2\nOutput: 2\n\nInput: 2679\nOutput: 2\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": "1"} +{"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: 8\n\nInput: 41\nOutput: 4\n\nInput: 45\nOutput: 5\n\nInput: 87397\nOutput: 9\n\nInput: 242\nOutput: 4\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 9\n\nInput: 21395\nOutput: 9\n\nInput: 2\nOutput: 2\n\nInput: 2679\nOutput: 9\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": "8"} +{"instruction": "Based on the input–output examples below, infer the rule implemented by function s. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 26\n\nInput: 41\nOutput: 10\n\nInput: 45\nOutput: 18\n\nInput: 87397\nOutput: 68\n\nInput: 242\nOutput: 16\n\nInput: 1\nOutput: 2\n\nInput: 9935\nOutput: 52\n\nInput: 21395\nOutput: 40\n\nInput: 2\nOutput: 4\n\nInput: 2679\nOutput: 48\n\nQuestion:\nWhat is the output of s(52858)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "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: 8\n\nInput: 41\nOutput: 1\n\nInput: 45\nOutput: 5\n\nInput: 87397\nOutput: 7\n\nInput: 242\nOutput: 2\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 5\n\nInput: 21395\nOutput: 5\n\nInput: 2\nOutput: 2\n\nInput: 2679\nOutput: 9\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": "4"} +{"instruction": "Based on the input–output examples below, infer the rule implemented by function t. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 24\n\nInput: 41\nOutput: 4\n\nInput: 45\nOutput: 20\n\nInput: 87397\nOutput: 56\n\nInput: 242\nOutput: 4\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 45\n\nInput: 21395\nOutput: 10\n\nInput: 2\nOutput: 4\n\nInput: 2679\nOutput: 18\n\nQuestion:\nWhat is the output of t(58598)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "40"} +{"instruction": "Based on the input–output examples below, infer the rule implemented by function o. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 77\n\nInput: 41\nOutput: 17\n\nInput: 45\nOutput: 41\n\nInput: 87397\nOutput: 252\n\nInput: 242\nOutput: 24\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 196\n\nInput: 21395\nOutput: 120\n\nInput: 2\nOutput: 4\n\nInput: 2679\nOutput: 170\n\nQuestion:\nWhat is the output of o(29190)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "167"} +{"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: 8\n\nInput: 41\nOutput: 4\n\nInput: 45\nOutput: 5\n\nInput: 87397\nOutput: 9\n\nInput: 242\nOutput: 4\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 9\n\nInput: 21395\nOutput: 9\n\nInput: 2\nOutput: 2\n\nInput: 2679\nOutput: 9\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": "6"} +{"instruction": "Based on the input–output examples below, infer the rule implemented by function q. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 832\n\nInput: 41\nOutput: 41\n\nInput: 45\nOutput: 54\n\nInput: 87397\nOutput: 98773\n\nInput: 242\nOutput: 422\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 9953\n\nInput: 21395\nOutput: 95321\n\nInput: 2\nOutput: 2\n\nInput: 2679\nOutput: 9762\n\nQuestion:\nWhat is the output of q(60174)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "76410"} +{"instruction": "Based on the input–output examples below, infer the rule implemented by function p. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 238\n\nInput: 41\nOutput: 14\n\nInput: 45\nOutput: 45\n\nInput: 87397\nOutput: 37789\n\nInput: 242\nOutput: 224\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 3599\n\nInput: 21395\nOutput: 12359\n\nInput: 2\nOutput: 2\n\nInput: 2679\nOutput: 2679\n\nQuestion:\nWhat is the output of p(97679)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "67799"} +{"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: 13\n\nInput: 41\nOutput: 5\n\nInput: 45\nOutput: 9\n\nInput: 87397\nOutput: 34\n\nInput: 242\nOutput: 8\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 26\n\nInput: 21395\nOutput: 20\n\nInput: 2\nOutput: 2\n\nInput: 2679\nOutput: 24\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": "30"} +{"instruction": "Based on the input–output examples below, infer the rule implemented by function r. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 0\n\nInput: 41\nOutput: 0\n\nInput: 45\nOutput: 0\n\nInput: 87397\nOutput: 0\n\nInput: 242\nOutput: 0\n\nInput: 1\nOutput: 0\n\nInput: 9935\nOutput: 0\n\nInput: 21395\nOutput: 0\n\nInput: 2\nOutput: 0\n\nInput: 2679\nOutput: 0\n\nQuestion:\nWhat is the output of r(6599)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "0"} +{"instruction": "Based on the input–output examples below, infer the rule implemented by function q. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 832\n\nInput: 41\nOutput: 41\n\nInput: 45\nOutput: 54\n\nInput: 87397\nOutput: 98773\n\nInput: 242\nOutput: 422\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 9953\n\nInput: 21395\nOutput: 95321\n\nInput: 2\nOutput: 2\n\nInput: 2679\nOutput: 9762\n\nQuestion:\nWhat is the output of q(52858)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "88552"} +{"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: 3\n\nInput: 41\nOutput: 4\n\nInput: 45\nOutput: 4\n\nInput: 87397\nOutput: 8\n\nInput: 242\nOutput: 2\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 9\n\nInput: 21395\nOutput: 2\n\nInput: 2\nOutput: 2\n\nInput: 2679\nOutput: 2\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": "5"} +{"instruction": "Based on the input–output examples below, infer the rule implemented by function m. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 3\n\nInput: 41\nOutput: 2\n\nInput: 45\nOutput: 2\n\nInput: 87397\nOutput: 4\n\nInput: 242\nOutput: 2\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 3\n\nInput: 21395\nOutput: 5\n\nInput: 2\nOutput: 1\n\nInput: 2679\nOutput: 4\n\nQuestion:\nWhat is the output of m(11536)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "4"} +{"instruction": "Based on the input–output examples below, infer the rule implemented by function j. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 11\n\nInput: 41\nOutput: 5\n\nInput: 45\nOutput: 9\n\nInput: 87397\nOutput: 15\n\nInput: 242\nOutput: 4\n\nInput: 1\nOutput: 2\n\nInput: 9935\nOutput: 14\n\nInput: 21395\nOutput: 7\n\nInput: 2\nOutput: 4\n\nInput: 2679\nOutput: 11\n\nQuestion:\nWhat is the output of j(58733)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "8"} +{"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: 2\n\nInput: 41\nOutput: 1\n\nInput: 45\nOutput: 4\n\nInput: 87397\nOutput: 3\n\nInput: 242\nOutput: 2\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 3\n\nInput: 21395\nOutput: 1\n\nInput: 2\nOutput: 2\n\nInput: 2679\nOutput: 2\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": "0"} +{"instruction": "Based on the input–output examples below, infer the rule implemented by function i. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 823\n\nInput: 41\nOutput: 14\n\nInput: 45\nOutput: 54\n\nInput: 87397\nOutput: 79378\n\nInput: 242\nOutput: 242\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 5399\n\nInput: 21395\nOutput: 59312\n\nInput: 2\nOutput: 2\n\nInput: 2679\nOutput: 9762\n\nQuestion:\nWhat is the output of i(52858)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "85825"} +{"instruction": "Based on the input–output examples below, infer the rule implemented by function t. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 24\n\nInput: 41\nOutput: 4\n\nInput: 45\nOutput: 20\n\nInput: 87397\nOutput: 56\n\nInput: 242\nOutput: 4\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 45\n\nInput: 21395\nOutput: 10\n\nInput: 2\nOutput: 4\n\nInput: 2679\nOutput: 18\n\nQuestion:\nWhat is the output of t(72154)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "28"} +{"instruction": "Based on the input–output examples below, infer the rule implemented by function o. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 77\n\nInput: 41\nOutput: 17\n\nInput: 45\nOutput: 41\n\nInput: 87397\nOutput: 252\n\nInput: 242\nOutput: 24\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 196\n\nInput: 21395\nOutput: 120\n\nInput: 2\nOutput: 4\n\nInput: 2679\nOutput: 170\n\nQuestion:\nWhat is the output of o(2329)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "98"} +{"instruction": "Based on the input–output examples below, infer the rule implemented by function n. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 4\n\nInput: 41\nOutput: 5\n\nInput: 45\nOutput: 9\n\nInput: 87397\nOutput: 7\n\nInput: 242\nOutput: 8\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 8\n\nInput: 21395\nOutput: 2\n\nInput: 2\nOutput: 2\n\nInput: 2679\nOutput: 6\n\nQuestion:\nWhat is the output of n(29190)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "3"} +{"instruction": "Based on the input–output examples below, infer the rule implemented by function o. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 77\n\nInput: 41\nOutput: 17\n\nInput: 45\nOutput: 41\n\nInput: 87397\nOutput: 252\n\nInput: 242\nOutput: 24\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 196\n\nInput: 21395\nOutput: 120\n\nInput: 2\nOutput: 4\n\nInput: 2679\nOutput: 170\n\nQuestion:\nWhat is the output of o(41426)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "73"} +{"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: 2\n\nInput: 41\nOutput: 1\n\nInput: 45\nOutput: 4\n\nInput: 87397\nOutput: 3\n\nInput: 242\nOutput: 2\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 3\n\nInput: 21395\nOutput: 1\n\nInput: 2\nOutput: 2\n\nInput: 2679\nOutput: 2\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": "1"} +{"instruction": "Based on the input–output examples below, infer the rule implemented by function l. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 1\n\nInput: 41\nOutput: 1\n\nInput: 45\nOutput: 1\n\nInput: 87397\nOutput: 4\n\nInput: 242\nOutput: 0\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 4\n\nInput: 21395\nOutput: 4\n\nInput: 2\nOutput: 0\n\nInput: 2679\nOutput: 2\n\nQuestion:\nWhat is the output of l(60174)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "2"} +{"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: 13\n\nInput: 41\nOutput: 5\n\nInput: 45\nOutput: 9\n\nInput: 87397\nOutput: 34\n\nInput: 242\nOutput: 8\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 26\n\nInput: 21395\nOutput: 20\n\nInput: 2\nOutput: 2\n\nInput: 2679\nOutput: 24\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": "38"} +{"instruction": "Based on the input–output examples below, infer the rule implemented by function m. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 3\n\nInput: 41\nOutput: 2\n\nInput: 45\nOutput: 2\n\nInput: 87397\nOutput: 4\n\nInput: 242\nOutput: 2\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 3\n\nInput: 21395\nOutput: 5\n\nInput: 2\nOutput: 1\n\nInput: 2679\nOutput: 4\n\nQuestion:\nWhat is the output of m(58598)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "3"} +{"instruction": "Based on the input–output examples below, infer the rule implemented by function k. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 2\n\nInput: 41\nOutput: 1\n\nInput: 45\nOutput: 1\n\nInput: 87397\nOutput: 1\n\nInput: 242\nOutput: 3\n\nInput: 1\nOutput: 0\n\nInput: 9935\nOutput: 0\n\nInput: 21395\nOutput: 1\n\nInput: 2\nOutput: 1\n\nInput: 2679\nOutput: 2\n\nQuestion:\nWhat is the output of k(58598)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "2"} +{"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: 2\n\nInput: 41\nOutput: 1\n\nInput: 45\nOutput: 4\n\nInput: 87397\nOutput: 3\n\nInput: 242\nOutput: 2\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 3\n\nInput: 21395\nOutput: 1\n\nInput: 2\nOutput: 2\n\nInput: 2679\nOutput: 2\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": "0"} +{"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: 2\n\nInput: 41\nOutput: 1\n\nInput: 45\nOutput: 4\n\nInput: 87397\nOutput: 3\n\nInput: 242\nOutput: 2\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 3\n\nInput: 21395\nOutput: 1\n\nInput: 2\nOutput: 2\n\nInput: 2679\nOutput: 2\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": "1"} +{"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: 48\n\nInput: 41\nOutput: 4\n\nInput: 45\nOutput: 20\n\nInput: 87397\nOutput: 10584\n\nInput: 242\nOutput: 16\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 1215\n\nInput: 21395\nOutput: 270\n\nInput: 2\nOutput: 2\n\nInput: 2679\nOutput: 756\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": "1296"} +{"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: 13\n\nInput: 41\nOutput: 5\n\nInput: 45\nOutput: 9\n\nInput: 87397\nOutput: 34\n\nInput: 242\nOutput: 8\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 26\n\nInput: 21395\nOutput: 20\n\nInput: 2\nOutput: 2\n\nInput: 2679\nOutput: 24\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": "17"} +{"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: 13\n\nInput: 41\nOutput: 5\n\nInput: 45\nOutput: 9\n\nInput: 87397\nOutput: 34\n\nInput: 242\nOutput: 8\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 26\n\nInput: 21395\nOutput: 20\n\nInput: 2\nOutput: 2\n\nInput: 2679\nOutput: 24\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": "17"} +{"instruction": "Based on the input–output examples below, infer the rule implemented by function i. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 823\n\nInput: 41\nOutput: 14\n\nInput: 45\nOutput: 54\n\nInput: 87397\nOutput: 79378\n\nInput: 242\nOutput: 242\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 5399\n\nInput: 21395\nOutput: 59312\n\nInput: 2\nOutput: 2\n\nInput: 2679\nOutput: 9762\n\nQuestion:\nWhat is the output of i(41426)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "62414"} +{"instruction": "Based on the input–output examples below, infer the rule implemented by function m. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 3\n\nInput: 41\nOutput: 2\n\nInput: 45\nOutput: 2\n\nInput: 87397\nOutput: 4\n\nInput: 242\nOutput: 2\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 3\n\nInput: 21395\nOutput: 5\n\nInput: 2\nOutput: 1\n\nInput: 2679\nOutput: 4\n\nQuestion:\nWhat is the output of m(66444)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "2"} +{"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: 48\n\nInput: 41\nOutput: 4\n\nInput: 45\nOutput: 20\n\nInput: 87397\nOutput: 10584\n\nInput: 242\nOutput: 16\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 1215\n\nInput: 21395\nOutput: 270\n\nInput: 2\nOutput: 2\n\nInput: 2679\nOutput: 756\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": "18"} +{"instruction": "Based on the input–output examples below, infer the rule implemented by function l. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 1\n\nInput: 41\nOutput: 1\n\nInput: 45\nOutput: 1\n\nInput: 87397\nOutput: 4\n\nInput: 242\nOutput: 0\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 4\n\nInput: 21395\nOutput: 4\n\nInput: 2\nOutput: 0\n\nInput: 2679\nOutput: 2\n\nQuestion:\nWhat is the output of l(58733)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "4"} +{"instruction": "Based on the input–output examples below, infer the rule implemented by function s. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 26\n\nInput: 41\nOutput: 10\n\nInput: 45\nOutput: 18\n\nInput: 87397\nOutput: 68\n\nInput: 242\nOutput: 16\n\nInput: 1\nOutput: 2\n\nInput: 9935\nOutput: 52\n\nInput: 21395\nOutput: 40\n\nInput: 2\nOutput: 4\n\nInput: 2679\nOutput: 48\n\nQuestion:\nWhat is the output of s(65333)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "40"} +{"instruction": "Based on the input–output examples below, infer the rule implemented by function t. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 24\n\nInput: 41\nOutput: 4\n\nInput: 45\nOutput: 20\n\nInput: 87397\nOutput: 56\n\nInput: 242\nOutput: 4\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 45\n\nInput: 21395\nOutput: 10\n\nInput: 2\nOutput: 4\n\nInput: 2679\nOutput: 18\n\nQuestion:\nWhat is the output of t(30801)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "3"} +{"instruction": "Based on the input–output examples below, infer the rule implemented by function n. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 4\n\nInput: 41\nOutput: 5\n\nInput: 45\nOutput: 9\n\nInput: 87397\nOutput: 7\n\nInput: 242\nOutput: 8\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 8\n\nInput: 21395\nOutput: 2\n\nInput: 2\nOutput: 2\n\nInput: 2679\nOutput: 6\n\nQuestion:\nWhat is the output of n(30801)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "3"} +{"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: 3\n\nInput: 41\nOutput: 2\n\nInput: 45\nOutput: 2\n\nInput: 87397\nOutput: 5\n\nInput: 242\nOutput: 3\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 4\n\nInput: 21395\nOutput: 5\n\nInput: 2\nOutput: 1\n\nInput: 2679\nOutput: 4\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": "5"} +{"instruction": "Based on the input–output examples below, infer the rule implemented by function p. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 238\n\nInput: 41\nOutput: 14\n\nInput: 45\nOutput: 45\n\nInput: 87397\nOutput: 37789\n\nInput: 242\nOutput: 224\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 3599\n\nInput: 21395\nOutput: 12359\n\nInput: 2\nOutput: 2\n\nInput: 2679\nOutput: 2679\n\nQuestion:\nWhat is the output of p(66444)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "44466"} +{"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: 3\n\nInput: 41\nOutput: 2\n\nInput: 45\nOutput: 2\n\nInput: 87397\nOutput: 5\n\nInput: 242\nOutput: 3\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 4\n\nInput: 21395\nOutput: 5\n\nInput: 2\nOutput: 1\n\nInput: 2679\nOutput: 4\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": "5"} +{"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: 2\n\nInput: 41\nOutput: 1\n\nInput: 45\nOutput: 4\n\nInput: 87397\nOutput: 3\n\nInput: 242\nOutput: 2\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 3\n\nInput: 21395\nOutput: 1\n\nInput: 2\nOutput: 2\n\nInput: 2679\nOutput: 2\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": "2"} +{"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: 3\n\nInput: 41\nOutput: 4\n\nInput: 45\nOutput: 4\n\nInput: 87397\nOutput: 8\n\nInput: 242\nOutput: 2\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 9\n\nInput: 21395\nOutput: 2\n\nInput: 2\nOutput: 2\n\nInput: 2679\nOutput: 2\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": "1"} +{"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: 3\n\nInput: 41\nOutput: 4\n\nInput: 45\nOutput: 4\n\nInput: 87397\nOutput: 8\n\nInput: 242\nOutput: 2\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 9\n\nInput: 21395\nOutput: 2\n\nInput: 2\nOutput: 2\n\nInput: 2679\nOutput: 2\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": "5"} +{"instruction": "Based on the input–output examples below, infer the rule implemented by function p. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 238\n\nInput: 41\nOutput: 14\n\nInput: 45\nOutput: 45\n\nInput: 87397\nOutput: 37789\n\nInput: 242\nOutput: 224\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 3599\n\nInput: 21395\nOutput: 12359\n\nInput: 2\nOutput: 2\n\nInput: 2679\nOutput: 2679\n\nQuestion:\nWhat is the output of p(58733)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "33578"} +{"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: 13\n\nInput: 41\nOutput: 5\n\nInput: 45\nOutput: 9\n\nInput: 87397\nOutput: 34\n\nInput: 242\nOutput: 8\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 26\n\nInput: 21395\nOutput: 20\n\nInput: 2\nOutput: 2\n\nInput: 2679\nOutput: 24\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": "18"} +{"instruction": "Based on the input–output examples below, infer the rule implemented by function c. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 3\n\nInput: 41\nOutput: 2\n\nInput: 45\nOutput: 2\n\nInput: 87397\nOutput: 5\n\nInput: 242\nOutput: 3\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 4\n\nInput: 21395\nOutput: 5\n\nInput: 2\nOutput: 1\n\nInput: 2679\nOutput: 4\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": "5"} +{"instruction": "Based on the input–output examples below, infer the rule implemented by function n. Then apply the same rule to determine the output for the given input.\n\nExamples:\nInput: 328\nOutput: 4\n\nInput: 41\nOutput: 5\n\nInput: 45\nOutput: 9\n\nInput: 87397\nOutput: 7\n\nInput: 242\nOutput: 8\n\nInput: 1\nOutput: 1\n\nInput: 9935\nOutput: 8\n\nInput: 21395\nOutput: 2\n\nInput: 2\nOutput: 2\n\nInput: 2679\nOutput: 6\n\nQuestion:\nWhat is the output of n(66444)?\n\n\n\nPlease reason step by step, and put your final answer within \\boxed{}.", "input": "", "output": "6"}