diff --git a/.gitattributes b/.gitattributes
index 9351e0047d833b45cc4c505461d9c08768aea337..751800584e848bab367d58c211b5958d5264f769 100644
--- a/.gitattributes
+++ b/.gitattributes
@@ -62,3 +62,4 @@ checkpoints/knowledge/atomic_full_then_2step_full_sft_t20260305/checkpoint-710/t
 checkpoints/knowledge/lora_sft_atomic_50ep_t20260305/checkpoint-1248/tokenizer.json filter=lfs diff=lfs merge=lfs -text
 checkpoints/knowledge/lora_sft_atomic_50ep_t20260305/checkpoint-1274/tokenizer.json filter=lfs diff=lfs merge=lfs -text
 checkpoints/knowledge/lora_sft_atomic_50ep_t20260305/checkpoint-1300/tokenizer.json filter=lfs diff=lfs merge=lfs -text
+checkpoints/math_operations/base_model_eval/eval_results_easy_ops/balanced_test_alpaca_results.jsonl filter=lfs diff=lfs merge=lfs -text
diff --git a/checkpoints/math_operations/base_model_eval/eval_results_easy_ops/balanced_test_alpaca_converted.jsonl b/checkpoints/math_operations/base_model_eval/eval_results_easy_ops/balanced_test_alpaca_converted.jsonl
new file mode 100644
index 0000000000000000000000000000000000000000..b546bba22f3554fd681ef8e4d771c3c9a89102bb
--- /dev/null
+++ b/checkpoints/math_operations/base_model_eval/eval_results_easy_ops/balanced_test_alpaca_converted.jsonl
@@ -0,0 +1,500 @@
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "8", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "55889", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "2430", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "3", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "5", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "4", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "4", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "9232", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "5", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "8", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "88653", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "85220", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "6", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "2285", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "15", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "4", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "139", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "9", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "35431", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "1", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "1", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "3", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "2", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "25588", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "21", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "36", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "11", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "16", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "15", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "45127", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "5", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "4", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "82694", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "192", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "2", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "12", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "0", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "5", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "10", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "6", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "23", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "64045", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "3", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "2", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "4669", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "5", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "4", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "7", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "8", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "9", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "9", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "8", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "0", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "4", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "5", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "7", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "1", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "6", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "5", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "259", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "7", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "223", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "168", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "3", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "26", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "8", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "4", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "3", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "78", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "60", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "3", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "42", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "1", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "8", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "99210", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "98855", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "7", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "7", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "97679", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "6", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "19", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "20", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "1", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "4", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "138", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "0", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "2", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "8", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "0", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "90", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "6", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "7", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "3", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "9192", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "9", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "9", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "1", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "33210", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "1233", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "9", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "14", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "102", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "10", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "198", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "5", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "5", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "1", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "1578", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "8", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "3", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "23814", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "4456", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "5", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "3", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "2", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "40", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "0", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "8", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "810", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "3", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "35", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "4", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "3", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "13", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "2", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "65311", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "1", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "7", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "2", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "5", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "3", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "24", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "21", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "81", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "1", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "6", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "3", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "3", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "72", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "24", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "7", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "1", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "5", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "5", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "5", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "1", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "65333", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "3", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "2", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "34", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "89585", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "6", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "1", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "0", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "8", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "34", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "4", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "19", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "0", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "29", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "5", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "18", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "2", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "3", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "1", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "3", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "7", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "83658", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "1467", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "24689", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "8", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "63511", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "87510", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "28", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "5", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "9", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "2", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "3200", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "12446", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "32", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "2", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "5", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "47106", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "50", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "9965", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "5", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "7", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "6", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "9", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "8", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "1", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "4", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "5", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "42", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "0", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "11", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "480", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "5", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "6", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "9664", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "4", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "1", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "2239", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "24", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "7", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "54", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "6", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "9", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "80157", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "0", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "182", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "13345", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "1", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "3", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "56", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "35688", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "10", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "2", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "0", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "2304", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "9956", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "18", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "7", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "95", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "3", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "18", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "1125", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "4", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "6", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "50", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "9", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "54331", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "10803", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "64421", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "2", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "74", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "8", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "48", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "8", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "5", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "66444", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "3456", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "3", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "33356", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "10", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "95551", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "5", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "24", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "4", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "3", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "10", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "83100", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "18", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "24", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "32", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "2", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "3", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "1", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "0", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "4", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "2", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "33356", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "108", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "2", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "5040", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "95551", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "38", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "156", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "1299", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "16", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "8", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "1", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "0", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "296", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "5", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "9", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "3", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "42037", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "5", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "88", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "9", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "4", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "4", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "169", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "9", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "9", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "97", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "9", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "4", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "15", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "5", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "5", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "3", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "98642", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "12", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "280", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "65440", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "15559", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "2", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "2520", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "4", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "0", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "223", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "4", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "16", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "0", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "0", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "3", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "25", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "3", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "4", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "9", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "5", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "7", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "58", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "2347", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "4", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "4", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "5", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "2", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "6", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "1", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "0", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "16", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "32", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "9", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "6964", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "0", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "32", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "62", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "3", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "87533", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "0", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "5", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "31", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "3", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "8", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "1", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "13", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "98752", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "4", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "5", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "162", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "5", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "24", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "70", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "0", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "8", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "5", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "16", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "24", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "5", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "1", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "4", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "12457", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "0", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "33785", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "1", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "23301", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "2", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "2", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "5", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "32", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "1", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "30", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "0", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "5", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "11", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "8", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "44466", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "2", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "7", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "11356", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "25789", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "93", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "1", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "5", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "14400", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "6", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "97825", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "4", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "0", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "0", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "5760", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "6", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "157", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "38", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "4", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "120", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "28", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "9", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "76", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "11", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "9322", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "2", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "0", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "4", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "7", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "75421", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "5", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "280", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "2", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "7", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "58", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "7", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "3", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "0", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "3", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "6", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "9", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "6", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "7", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "2", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "52", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "0", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "5", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "64", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "1", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "4", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "5699", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "1", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "2", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "29", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "180", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "60", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "9", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "3", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "4", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "4", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "4", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "74320", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "9", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "3", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "160", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "8", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "5", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "3", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "4", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "201", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "25", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "99776", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "1", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "3", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "5", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "0", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "4", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "168", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "3", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "45", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "0", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "6", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "2258", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "1", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "8", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "56", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "4", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "40", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "167", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "6", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "76410", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "67799", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "30", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "0", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "88552", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "5", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "4", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "8", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "0", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "85825", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "28", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "98", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "3", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "73", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "1", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "2", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "38", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "3", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "2", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "0", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "1", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "1296", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "17", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "17", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "62414", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "2", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "18", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "4", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "40", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "3", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "3", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "5", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "44466", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "5", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "2", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "1", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "5", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "33578", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "18", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "5", "instruction": "Based on the input\u2013output 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{}."}
+{"prompt": "Based on the input\u2013output 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{}.", "ground_truth_answer": "6", "instruction": "Based on the input\u2013output 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{}."}
diff --git a/checkpoints/math_operations/base_model_eval/eval_results_easy_ops/balanced_test_alpaca_results.jsonl b/checkpoints/math_operations/base_model_eval/eval_results_easy_ops/balanced_test_alpaca_results.jsonl
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index 0000000000000000000000000000000000000000..b56981dea75da942936e493c3c6af0aa470e8df4
--- /dev/null
+++ b/checkpoints/math_operations/base_model_eval/eval_results_easy_ops/balanced_test_alpaca_results.jsonl
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:4fa82938ac18adb04d956ffed23da0b3f07a79e3692c2989432a310eab98ab4c
+size 11059849
diff --git a/checkpoints/math_operations/base_model_eval/eval_results_easy_ops/eval_results.csv b/checkpoints/math_operations/base_model_eval/eval_results_easy_ops/eval_results.csv
new file mode 100644
index 0000000000000000000000000000000000000000..c6f9c48d189fab0cd911e31386f0f108a117c83d
--- /dev/null
+++ b/checkpoints/math_operations/base_model_eval/eval_results_easy_ops/eval_results.csv
@@ -0,0 +1,2 @@
+category,filename,total,correct,accuracy,format_found,format_accuracy,errors_count
+math_operations,balanced_test_alpaca_results,500,413,82.60,425,85.00,87
diff --git a/checkpoints/math_operations/base_model_eval/eval_results_easy_ops/eval_summary.json b/checkpoints/math_operations/base_model_eval/eval_results_easy_ops/eval_summary.json
new file mode 100644
index 0000000000000000000000000000000000000000..273a502a34ae4ea0283b35495f63e0b9dfda8d89
--- /dev/null
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@@ -0,0 +1,133 @@
+{
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+    "accuracy": 82.6,
+    "format_found": 425,
+    "format_accuracy": 85.0
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+  "results_file": "/home/jiaruil5/math_rl/mix_teachers/r3lit_rl/mix_teachers/checkpoints/math_operations/base_model_eval/eval_results_easy_ops/balanced_test_alpaca_results.jsonl"
+}
\ No newline at end of file