data_source stringclasses 1
value | prompt stringlengths 1.37k 1.43k | ability stringclasses 1
value | reward_model stringlengths 52 75 | extra_info stringlengths 117 170 |
|---|---|---|---|---|
hash_values | [{"role": "system", "content": "You are a helpful assistant that solves sorting problems. You will be given a list of numbers and a sorting rule. Output the sorted array as a JSON list, e.g. [3, 1, 4, 1, 5]. Do not include any other text after the JSON list."}, {"role": "user", "content": "You need to sort the followin... | opaque-tool-sorting | {"style": "rule", "ground_truth": [29, 71, 12, 84, 39, 63]} | {"rule_name": "prime_distance", "elements": [63, 29, 39, 84, 71, 12], "rule_description": "Elements ordered by distance to nearest prime number"} |
hash_values | [{"role": "system", "content": "You are a helpful assistant that solves sorting problems. You will be given a list of numbers and a sorting rule. Output the sorted array as a JSON list, e.g. [3, 1, 4, 1, 5]. Do not include any other text after the JSON list."}, {"role": "user", "content": "You need to sort the followin... | opaque-tool-sorting | {"style": "rule", "ground_truth": [21, 91, 63, 50, 40, 28, 8]} | {"rule_name": "hash_based", "elements": [40, 8, 28, 63, 21, 91, 50], "rule_description": "Elements are ordered by a hidden hash function"} |
hash_values | [{"role": "system", "content": "You are a helpful assistant that solves sorting problems. You will be given a list of numbers and a sorting rule. Output the sorted array as a JSON list, e.g. [3, 1, 4, 1, 5]. Do not include any other text after the JSON list."}, {"role": "user", "content": "You need to sort the followin... | opaque-tool-sorting | {"style": "rule", "ground_truth": [1, 9, 57, 65, 66]} | {"rule_name": "divisor_count", "elements": [1, 66, 57, 9, 65], "rule_description": "Elements ordered by number of divisors"} |
hash_values | [{"role": "system", "content": "You are a helpful assistant that solves sorting problems. You will be given a list of numbers and a sorting rule. Output the sorted array as a JSON list, e.g. [3, 1, 4, 1, 5]. Do not include any other text after the JSON list."}, {"role": "user", "content": "You need to sort the followin... | opaque-tool-sorting | {"style": "rule", "ground_truth": [27, 19, 3, 56, 44, 59]} | {"rule_name": "sum_with_neighbors", "elements": [59, 56, 44, 27, 19, 3], "rule_description": "Elements ordered by hidden pairwise relationships"} |
hash_values | [{"role": "system", "content": "You are a helpful assistant that solves sorting problems. You will be given a list of numbers and a sorting rule. Output the sorted array as a JSON list, e.g. [3, 1, 4, 1, 5]. Do not include any other text after the JSON list."}, {"role": "user", "content": "You need to sort the followin... | opaque-tool-sorting | {"style": "rule", "ground_truth": [69, 80, 91, 73, 81, 27, 83]} | {"rule_name": "palindrome_distance", "elements": [73, 69, 80, 83, 91, 27, 81], "rule_description": "Elements ordered by distance to palindromic numbers"} |
hash_values | [{"role": "system", "content": "You are a helpful assistant that solves sorting problems. You will be given a list of numbers and a sorting rule. Output the sorted array as a JSON list, e.g. [3, 1, 4, 1, 5]. Do not include any other text after the JSON list."}, {"role": "user", "content": "You need to sort the followin... | opaque-tool-sorting | {"style": "rule", "ground_truth": [4, 9, 36, 16, 94, 41, 43, 44]} | {"rule_name": "fibonacci_proximity", "elements": [4, 9, 43, 16, 44, 36, 94, 41], "rule_description": "Elements ordered by proximity to Fibonacci sequence"} |
hash_values | [{"role": "system", "content": "You are a helpful assistant that solves sorting problems. You will be given a list of numbers and a sorting rule. Output the sorted array as a JSON list, e.g. [3, 1, 4, 1, 5]. Do not include any other text after the JSON list."}, {"role": "user", "content": "You need to sort the followin... | opaque-tool-sorting | {"style": "rule", "ground_truth": [9, 16, 13, 19, 90, 79, 25, 71]} | {"rule_name": "sum_with_neighbors", "elements": [19, 90, 9, 79, 13, 16, 71, 25], "rule_description": "Elements ordered by hidden pairwise relationships"} |
hash_values | [{"role": "system", "content": "You are a helpful assistant that solves sorting problems. You will be given a list of numbers and a sorting rule. Output the sorted array as a JSON list, e.g. [3, 1, 4, 1, 5]. Do not include any other text after the JSON list."}, {"role": "user", "content": "You need to sort the followin... | opaque-tool-sorting | {"style": "rule", "ground_truth": [64, 57, 71, 13, 11]} | {"rule_name": "hash_based", "elements": [57, 11, 64, 71, 13], "rule_description": "Elements are ordered by a hidden hash function"} |
hash_values | [{"role": "system", "content": "You are a helpful assistant that solves sorting problems. You will be given a list of numbers and a sorting rule. Output the sorted array as a JSON list, e.g. [3, 1, 4, 1, 5]. Do not include any other text after the JSON list."}, {"role": "user", "content": "You need to sort the followin... | opaque-tool-sorting | {"style": "rule", "ground_truth": [56, 48, 8, 65, 33, 22]} | {"rule_name": "hash_based", "elements": [22, 56, 33, 8, 48, 65], "rule_description": "Elements are ordered by a hidden hash function"} |
hash_values | [{"role": "system", "content": "You are a helpful assistant that solves sorting problems. You will be given a list of numbers and a sorting rule. Output the sorted array as a JSON list, e.g. [3, 1, 4, 1, 5]. Do not include any other text after the JSON list."}, {"role": "user", "content": "You need to sort the followin... | opaque-tool-sorting | {"style": "rule", "ground_truth": [17, 37, 53, 73, 54, 96, 33, 69, 64]} | {"rule_name": "prime_distance", "elements": [73, 37, 64, 69, 33, 17, 53, 96, 54], "rule_description": "Elements ordered by distance to nearest prime number"} |
hash_values | [{"role": "system", "content": "You are a helpful assistant that solves sorting problems. You will be given a list of numbers and a sorting rule. Output the sorted array as a JSON list, e.g. [3, 1, 4, 1, 5]. Do not include any other text after the JSON list."}, {"role": "user", "content": "You need to sort the followin... | opaque-tool-sorting | {"style": "rule", "ground_truth": [47, 65, 3, 15, 69, 18, 27]} | {"rule_name": "digital_root", "elements": [27, 65, 3, 15, 69, 18, 47], "rule_description": "Elements ordered by digital root"} |
hash_values | [{"role": "system", "content": "You are a helpful assistant that solves sorting problems. You will be given a list of numbers and a sorting rule. Output the sorted array as a JSON list, e.g. [3, 1, 4, 1, 5]. Do not include any other text after the JSON list."}, {"role": "user", "content": "You need to sort the followin... | opaque-tool-sorting | {"style": "rule", "ground_truth": [10, 45, 89, 30, 37, 51, 16, 38]} | {"rule_name": "palindrome_distance", "elements": [37, 16, 30, 89, 10, 38, 51, 45], "rule_description": "Elements ordered by distance to palindromic numbers"} |
hash_values | [{"role": "system", "content": "You are a helpful assistant that solves sorting problems. You will be given a list of numbers and a sorting rule. Output the sorted array as a JSON list, e.g. [3, 1, 4, 1, 5]. Do not include any other text after the JSON list."}, {"role": "user", "content": "You need to sort the followin... | opaque-tool-sorting | {"style": "rule", "ground_truth": [64, 69, 11, 82, 25, 27, 67, 70, 34]} | {"rule_name": "hash_based", "elements": [34, 64, 25, 70, 11, 27, 82, 67, 69], "rule_description": "Elements are ordered by a hidden hash function"} |
hash_values | [{"role": "system", "content": "You are a helpful assistant that solves sorting problems. You will be given a list of numbers and a sorting rule. Output the sorted array as a JSON list, e.g. [3, 1, 4, 1, 5]. Do not include any other text after the JSON list."}, {"role": "user", "content": "You need to sort the followin... | opaque-tool-sorting | {"style": "rule", "ground_truth": [9, 10, 93, 16, 28, 80]} | {"rule_name": "divisor_count", "elements": [16, 10, 28, 80, 9, 93], "rule_description": "Elements ordered by number of divisors"} |
hash_values | [{"role": "system", "content": "You are a helpful assistant that solves sorting problems. You will be given a list of numbers and a sorting rule. Output the sorted array as a JSON list, e.g. [3, 1, 4, 1, 5]. Do not include any other text after the JSON list."}, {"role": "user", "content": "You need to sort the followin... | opaque-tool-sorting | {"style": "rule", "ground_truth": [30, 60, 41, 13, 43, 94, 46, 47, 58, 68]} | {"rule_name": "reverse_digits", "elements": [43, 41, 13, 58, 46, 60, 94, 47, 30, 68], "rule_description": "Elements ordered by their digit-reversed values"} |
hash_values | [{"role": "system", "content": "You are a helpful assistant that solves sorting problems. You will be given a list of numbers and a sorting rule. Output the sorted array as a JSON list, e.g. [3, 1, 4, 1, 5]. Do not include any other text after the JSON list."}, {"role": "user", "content": "You need to sort the followin... | opaque-tool-sorting | {"style": "rule", "ground_truth": [78, 45, 1, 77, 9]} | {"rule_name": "weighted_modulo", "elements": [77, 78, 45, 9, 1], "rule_description": "Elements ordered by weighted modular arithmetic"} |
hash_values | [{"role": "system", "content": "You are a helpful assistant that solves sorting problems. You will be given a list of numbers and a sorting rule. Output the sorted array as a JSON list, e.g. [3, 1, 4, 1, 5]. Do not include any other text after the JSON list."}, {"role": "user", "content": "You need to sort the followin... | opaque-tool-sorting | {"style": "rule", "ground_truth": [97, 10, 41, 48, 63, 80]} | {"rule_name": "modulo_chain", "elements": [97, 80, 10, 41, 48, 63], "rule_description": "Elements ordered by cascading modulo operations (hidden moduli)"} |
hash_values | [{"role": "system", "content": "You are a helpful assistant that solves sorting problems. You will be given a list of numbers and a sorting rule. Output the sorted array as a JSON list, e.g. [3, 1, 4, 1, 5]. Do not include any other text after the JSON list."}, {"role": "user", "content": "You need to sort the followin... | opaque-tool-sorting | {"style": "rule", "ground_truth": [81, 42, 23, 75, 47, 58]} | {"rule_name": "reverse_digits", "elements": [75, 42, 47, 81, 58, 23], "rule_description": "Elements ordered by their digit-reversed values"} |
hash_values | [{"role": "system", "content": "You are a helpful assistant that solves sorting problems. You will be given a list of numbers and a sorting rule. Output the sorted array as a JSON list, e.g. [3, 1, 4, 1, 5]. Do not include any other text after the JSON list."}, {"role": "user", "content": "You need to sort the followin... | opaque-tool-sorting | {"style": "rule", "ground_truth": [20, 36, 88, 37, 78, 63]} | {"rule_name": "lcm_with_constant", "elements": [78, 63, 37, 36, 88, 20], "rule_description": "Elements ordered by LCM with a hidden constant"} |
hash_values | [{"role": "system", "content": "You are a helpful assistant that solves sorting problems. You will be given a list of numbers and a sorting rule. Output the sorted array as a JSON list, e.g. [3, 1, 4, 1, 5]. Do not include any other text after the JSON list."}, {"role": "user", "content": "You need to sort the followin... | opaque-tool-sorting | {"style": "rule", "ground_truth": [18, 26, 89, 43, 49, 83, 51, 91]} | {"rule_name": "sum_with_neighbors", "elements": [49, 91, 26, 18, 89, 43, 51, 83], "rule_description": "Elements ordered by hidden pairwise relationships"} |
hash_values | [{"role": "system", "content": "You are a helpful assistant that solves sorting problems. You will be given a list of numbers and a sorting rule. Output the sorted array as a JSON list, e.g. [3, 1, 4, 1, 5]. Do not include any other text after the JSON list."}, {"role": "user", "content": "You need to sort the followin... | opaque-tool-sorting | {"style": "rule", "ground_truth": [45, 50, 64, 75, 53, 83]} | {"rule_name": "sum_with_neighbors", "elements": [64, 50, 83, 53, 45, 75], "rule_description": "Elements ordered by hidden pairwise relationships"} |
hash_values | [{"role": "system", "content": "You are a helpful assistant that solves sorting problems. You will be given a list of numbers and a sorting rule. Output the sorted array as a JSON list, e.g. [3, 1, 4, 1, 5]. Do not include any other text after the JSON list."}, {"role": "user", "content": "You need to sort the followin... | opaque-tool-sorting | {"style": "rule", "ground_truth": [14, 54, 68, 66, 37, 2, 89, 51, 16]} | {"rule_name": "hash_based", "elements": [54, 37, 68, 89, 66, 16, 2, 14, 51], "rule_description": "Elements are ordered by a hidden hash function"} |
hash_values | [{"role": "system", "content": "You are a helpful assistant that solves sorting problems. You will be given a list of numbers and a sorting rule. Output the sorted array as a JSON list, e.g. [3, 1, 4, 1, 5]. Do not include any other text after the JSON list."}, {"role": "user", "content": "You need to sort the followin... | opaque-tool-sorting | {"style": "rule", "ground_truth": [10, 11, 36, 16, 62, 65, 70]} | {"rule_name": "fibonacci_proximity", "elements": [65, 70, 36, 16, 11, 62, 10], "rule_description": "Elements ordered by proximity to Fibonacci sequence"} |
hash_values | [{"role": "system", "content": "You are a helpful assistant that solves sorting problems. You will be given a list of numbers and a sorting rule. Output the sorted array as a JSON list, e.g. [3, 1, 4, 1, 5]. Do not include any other text after the JSON list."}, {"role": "user", "content": "You need to sort the followin... | opaque-tool-sorting | {"style": "rule", "ground_truth": [23, 47, 97, 18, 32]} | {"rule_name": "divisor_count", "elements": [23, 47, 18, 32, 97], "rule_description": "Elements ordered by number of divisors"} |
hash_values | [{"role": "system", "content": "You are a helpful assistant that solves sorting problems. You will be given a list of numbers and a sorting rule. Output the sorted array as a JSON list, e.g. [3, 1, 4, 1, 5]. Do not include any other text after the JSON list."}, {"role": "user", "content": "You need to sort the followin... | opaque-tool-sorting | {"style": "rule", "ground_truth": [3, 45, 36, 28, 49, 64, 92, 89]} | {"rule_name": "alternating_zones", "elements": [36, 49, 3, 89, 92, 28, 45, 64], "rule_description": "Elements ordered by hidden zone-based rules"} |
hash_values | [{"role": "system", "content": "You are a helpful assistant that solves sorting problems. You will be given a list of numbers and a sorting rule. Output the sorted array as a JSON list, e.g. [3, 1, 4, 1, 5]. Do not include any other text after the JSON list."}, {"role": "user", "content": "You need to sort the followin... | opaque-tool-sorting | {"style": "rule", "ground_truth": [5, 50, 46, 66, 48]} | {"rule_name": "digit_operations", "elements": [50, 46, 66, 48, 5], "rule_description": "Elements ordered by a hidden digit-based calculation"} |
hash_values | [{"role": "system", "content": "You are a helpful assistant that solves sorting problems. You will be given a list of numbers and a sorting rule. Output the sorted array as a JSON list, e.g. [3, 1, 4, 1, 5]. Do not include any other text after the JSON list."}, {"role": "user", "content": "You need to sort the followin... | opaque-tool-sorting | {"style": "rule", "ground_truth": [52, 64, 16, 65, 66, 47, 71]} | {"rule_name": "digit_operations", "elements": [65, 71, 16, 64, 47, 66, 52], "rule_description": "Elements ordered by a hidden digit-based calculation"} |
hash_values | [{"role": "system", "content": "You are a helpful assistant that solves sorting problems. You will be given a list of numbers and a sorting rule. Output the sorted array as a JSON list, e.g. [3, 1, 4, 1, 5]. Do not include any other text after the JSON list."}, {"role": "user", "content": "You need to sort the followin... | opaque-tool-sorting | {"style": "rule", "ground_truth": [61, 4, 20, 32, 68, 72, 39]} | {"rule_name": "prime_distance", "elements": [68, 4, 72, 39, 20, 61, 32], "rule_description": "Elements ordered by distance to nearest prime number"} |
hash_values | [{"role": "system", "content": "You are a helpful assistant that solves sorting problems. You will be given a list of numbers and a sorting rule. Output the sorted array as a JSON list, e.g. [3, 1, 4, 1, 5]. Do not include any other text after the JSON list."}, {"role": "user", "content": "You need to sort the followin... | opaque-tool-sorting | {"style": "rule", "ground_truth": [9, 90, 15, 24, 31, 25, 51, 94, 99, 78]} | {"rule_name": "fibonacci_proximity", "elements": [51, 15, 78, 94, 90, 31, 9, 99, 24, 25], "rule_description": "Elements ordered by proximity to Fibonacci sequence"} |
hash_values | [{"role": "system", "content": "You are a helpful assistant that solves sorting problems. You will be given a list of numbers and a sorting rule. Output the sorted array as a JSON list, e.g. [3, 1, 4, 1, 5]. Do not include any other text after the JSON list."}, {"role": "user", "content": "You need to sort the followin... | opaque-tool-sorting | {"style": "rule", "ground_truth": [51, 74, 95, 28, 50, 54]} | {"rule_name": "divisor_count", "elements": [50, 51, 95, 28, 54, 74], "rule_description": "Elements ordered by number of divisors"} |
hash_values | [{"role": "system", "content": "You are a helpful assistant that solves sorting problems. You will be given a list of numbers and a sorting rule. Output the sorted array as a JSON list, e.g. [3, 1, 4, 1, 5]. Do not include any other text after the JSON list."}, {"role": "user", "content": "You need to sort the followin... | opaque-tool-sorting | {"style": "rule", "ground_truth": [14, 27, 39, 73, 72, 64, 59]} | {"rule_name": "alternating_zones", "elements": [59, 64, 27, 39, 72, 14, 73], "rule_description": "Elements ordered by hidden zone-based rules"} |
hash_values | [{"role": "system", "content": "You are a helpful assistant that solves sorting problems. You will be given a list of numbers and a sorting rule. Output the sorted array as a JSON list, e.g. [3, 1, 4, 1, 5]. Do not include any other text after the JSON list."}, {"role": "user", "content": "You need to sort the followin... | opaque-tool-sorting | {"style": "rule", "ground_truth": [55, 7, 11, 17, 74, 30, 37, 94, 48]} | {"rule_name": "modulo_chain", "elements": [55, 30, 48, 11, 37, 7, 74, 94, 17], "rule_description": "Elements ordered by cascading modulo operations (hidden moduli)"} |
hash_values | [{"role": "system", "content": "You are a helpful assistant that solves sorting problems. You will be given a list of numbers and a sorting rule. Output the sorted array as a JSON list, e.g. [3, 1, 4, 1, 5]. Do not include any other text after the JSON list."}, {"role": "user", "content": "You need to sort the followin... | opaque-tool-sorting | {"style": "rule", "ground_truth": [43, 47, 27, 77, 8, 98, 90]} | {"rule_name": "digit_operations", "elements": [90, 98, 77, 27, 8, 43, 47], "rule_description": "Elements ordered by a hidden digit-based calculation"} |
hash_values | [{"role": "system", "content": "You are a helpful assistant that solves sorting problems. You will be given a list of numbers and a sorting rule. Output the sorted array as a JSON list, e.g. [3, 1, 4, 1, 5]. Do not include any other text after the JSON list."}, {"role": "user", "content": "You need to sort the followin... | opaque-tool-sorting | {"style": "rule", "ground_truth": [60, 63, 4, 1, 87, 97, 80]} | {"rule_name": "sum_with_neighbors", "elements": [97, 4, 63, 60, 1, 80, 87], "rule_description": "Elements ordered by hidden pairwise relationships"} |
hash_values | [{"role": "system", "content": "You are a helpful assistant that solves sorting problems. You will be given a list of numbers and a sorting rule. Output the sorted array as a JSON list, e.g. [3, 1, 4, 1, 5]. Do not include any other text after the JSON list."}, {"role": "user", "content": "You need to sort the followin... | opaque-tool-sorting | {"style": "rule", "ground_truth": [57, 85, 66, 46, 54, 48]} | {"rule_name": "weighted_modulo", "elements": [57, 48, 54, 46, 85, 66], "rule_description": "Elements ordered by weighted modular arithmetic"} |
hash_values | [{"role": "system", "content": "You are a helpful assistant that solves sorting problems. You will be given a list of numbers and a sorting rule. Output the sorted array as a JSON list, e.g. [3, 1, 4, 1, 5]. Do not include any other text after the JSON list."}, {"role": "user", "content": "You need to sort the followin... | opaque-tool-sorting | {"style": "rule", "ground_truth": [70, 76, 77, 1, 14, 18, 30, 36]} | {"rule_name": "circular_shift", "elements": [77, 30, 76, 36, 18, 14, 1, 70], "rule_description": "Elements ordered by a hidden circular permutation"} |
hash_values | [{"role": "system", "content": "You are a helpful assistant that solves sorting problems. You will be given a list of numbers and a sorting rule. Output the sorted array as a JSON list, e.g. [3, 1, 4, 1, 5]. Do not include any other text after the JSON list."}, {"role": "user", "content": "You need to sort the followin... | opaque-tool-sorting | {"style": "rule", "ground_truth": [33, 88, 15, 58, 50, 86, 10]} | {"rule_name": "weighted_modulo", "elements": [10, 33, 50, 15, 86, 58, 88], "rule_description": "Elements ordered by weighted modular arithmetic"} |
hash_values | [{"role": "system", "content": "You are a helpful assistant that solves sorting problems. You will be given a list of numbers and a sorting rule. Output the sorted array as a JSON list, e.g. [3, 1, 4, 1, 5]. Do not include any other text after the JSON list."}, {"role": "user", "content": "You need to sort the followin... | opaque-tool-sorting | {"style": "rule", "ground_truth": [14, 26, 12, 34, 67, 82, 91, 17, 52]} | {"rule_name": "bit_operations", "elements": [12, 14, 52, 34, 91, 17, 67, 26, 82], "rule_description": "Elements ordered by a hidden bitwise operation"} |
hash_values | [{"role": "system", "content": "You are a helpful assistant that solves sorting problems. You will be given a list of numbers and a sorting rule. Output the sorted array as a JSON list, e.g. [3, 1, 4, 1, 5]. Do not include any other text after the JSON list."}, {"role": "user", "content": "You need to sort the followin... | opaque-tool-sorting | {"style": "rule", "ground_truth": [34, 85, 26, 40, 95]} | {"rule_name": "palindrome_distance", "elements": [95, 26, 85, 34, 40], "rule_description": "Elements ordered by distance to palindromic numbers"} |
hash_values | [{"role": "system", "content": "You are a helpful assistant that solves sorting problems. You will be given a list of numbers and a sorting rule. Output the sorted array as a JSON list, e.g. [3, 1, 4, 1, 5]. Do not include any other text after the JSON list."}, {"role": "user", "content": "You need to sort the followin... | opaque-tool-sorting | {"style": "rule", "ground_truth": [30, 90, 14, 84, 28]} | {"rule_name": "reverse_digits", "elements": [30, 28, 84, 90, 14], "rule_description": "Elements ordered by their digit-reversed values"} |
hash_values | [{"role": "system", "content": "You are a helpful assistant that solves sorting problems. You will be given a list of numbers and a sorting rule. Output the sorted array as a JSON list, e.g. [3, 1, 4, 1, 5]. Do not include any other text after the JSON list."}, {"role": "user", "content": "You need to sort the followin... | opaque-tool-sorting | {"style": "rule", "ground_truth": [54, 24, 36, 74, 80, 48, 38, 71]} | {"rule_name": "palindrome_distance", "elements": [80, 24, 54, 71, 48, 74, 36, 38], "rule_description": "Elements ordered by distance to palindromic numbers"} |
hash_values | [{"role": "system", "content": "You are a helpful assistant that solves sorting problems. You will be given a list of numbers and a sorting rule. Output the sorted array as a JSON list, e.g. [3, 1, 4, 1, 5]. Do not include any other text after the JSON list."}, {"role": "user", "content": "You need to sort the followin... | opaque-tool-sorting | {"style": "rule", "ground_truth": [88, 95, 16, 19, 45, 59, 81, 83]} | {"rule_name": "modulo_chain", "elements": [88, 95, 16, 83, 45, 19, 59, 81], "rule_description": "Elements ordered by cascading modulo operations (hidden moduli)"} |
hash_values | [{"role": "system", "content": "You are a helpful assistant that solves sorting problems. You will be given a list of numbers and a sorting rule. Output the sorted array as a JSON list, e.g. [3, 1, 4, 1, 5]. Do not include any other text after the JSON list."}, {"role": "user", "content": "You need to sort the followin... | opaque-tool-sorting | {"style": "rule", "ground_truth": [59, 22, 51, 88, 80, 72, 90]} | {"rule_name": "divisor_count", "elements": [59, 88, 22, 80, 72, 51, 90], "rule_description": "Elements ordered by number of divisors"} |
hash_values | [{"role": "system", "content": "You are a helpful assistant that solves sorting problems. You will be given a list of numbers and a sorting rule. Output the sorted array as a JSON list, e.g. [3, 1, 4, 1, 5]. Do not include any other text after the JSON list."}, {"role": "user", "content": "You need to sort the followin... | opaque-tool-sorting | {"style": "rule", "ground_truth": [9, 23, 45, 24, 31, 30, 85, 62, 38, 60]} | {"rule_name": "palindrome_distance", "elements": [62, 9, 24, 45, 30, 31, 85, 23, 38, 60], "rule_description": "Elements ordered by distance to palindromic numbers"} |
hash_values | [{"role": "system", "content": "You are a helpful assistant that solves sorting problems. You will be given a list of numbers and a sorting rule. Output the sorted array as a JSON list, e.g. [3, 1, 4, 1, 5]. Do not include any other text after the JSON list."}, {"role": "user", "content": "You need to sort the followin... | opaque-tool-sorting | {"style": "rule", "ground_truth": [19, 46, 21, 41, 87]} | {"rule_name": "digital_root", "elements": [21, 87, 41, 19, 46], "rule_description": "Elements ordered by digital root"} |
hash_values | [{"role": "system", "content": "You are a helpful assistant that solves sorting problems. You will be given a list of numbers and a sorting rule. Output the sorted array as a JSON list, e.g. [3, 1, 4, 1, 5]. Do not include any other text after the JSON list."}, {"role": "user", "content": "You need to sort the followin... | opaque-tool-sorting | {"style": "rule", "ground_truth": [60, 64, 74, 29, 37, 40, 48, 54]} | {"rule_name": "circular_shift", "elements": [54, 29, 37, 64, 60, 48, 40, 74], "rule_description": "Elements ordered by a hidden circular permutation"} |
hash_values | [{"role": "system", "content": "You are a helpful assistant that solves sorting problems. You will be given a list of numbers and a sorting rule. Output the sorted array as a JSON list, e.g. [3, 1, 4, 1, 5]. Do not include any other text after the JSON list."}, {"role": "user", "content": "You need to sort the followin... | opaque-tool-sorting | {"style": "rule", "ground_truth": [8, 34, 13, 86, 52, 94]} | {"rule_name": "palindrome_distance", "elements": [94, 86, 13, 34, 52, 8], "rule_description": "Elements ordered by distance to palindromic numbers"} |
hash_values | [{"role": "system", "content": "You are a helpful assistant that solves sorting problems. You will be given a list of numbers and a sorting rule. Output the sorted array as a JSON list, e.g. [3, 1, 4, 1, 5]. Do not include any other text after the JSON list."}, {"role": "user", "content": "You need to sort the followin... | opaque-tool-sorting | {"style": "rule", "ground_truth": [3, 34, 7, 42, 48, 26, 6, 96]} | {"rule_name": "weighted_modulo", "elements": [7, 3, 96, 48, 42, 34, 26, 6], "rule_description": "Elements ordered by weighted modular arithmetic"} |
hash_values | [{"role": "system", "content": "You are a helpful assistant that solves sorting problems. You will be given a list of numbers and a sorting rule. Output the sorted array as a JSON list, e.g. [3, 1, 4, 1, 5]. Do not include any other text after the JSON list."}, {"role": "user", "content": "You need to sort the followin... | opaque-tool-sorting | {"style": "rule", "ground_truth": [14, 35, 32, 57, 87, 41]} | {"rule_name": "fibonacci_proximity", "elements": [14, 87, 57, 35, 32, 41], "rule_description": "Elements ordered by proximity to Fibonacci sequence"} |
hash_values | [{"role": "system", "content": "You are a helpful assistant that solves sorting problems. You will be given a list of numbers and a sorting rule. Output the sorted array as a JSON list, e.g. [3, 1, 4, 1, 5]. Do not include any other text after the JSON list."}, {"role": "user", "content": "You need to sort the followin... | opaque-tool-sorting | {"style": "rule", "ground_truth": [29, 79, 4, 51, 94, 64, 56, 66, 48]} | {"rule_name": "divisor_count", "elements": [56, 4, 66, 29, 94, 64, 51, 48, 79], "rule_description": "Elements ordered by number of divisors"} |
hash_values | [{"role": "system", "content": "You are a helpful assistant that solves sorting problems. You will be given a list of numbers and a sorting rule. Output the sorted array as a JSON list, e.g. [3, 1, 4, 1, 5]. Do not include any other text after the JSON list."}, {"role": "user", "content": "You need to sort the followin... | opaque-tool-sorting | {"style": "rule", "ground_truth": [43, 20, 95, 46, 57, 81, 92, 6, 65, 93]} | {"rule_name": "hash_based", "elements": [93, 43, 81, 65, 95, 92, 57, 20, 6, 46], "rule_description": "Elements are ordered by a hidden hash function"} |
hash_values | [{"role": "system", "content": "You are a helpful assistant that solves sorting problems. You will be given a list of numbers and a sorting rule. Output the sorted array as a JSON list, e.g. [3, 1, 4, 1, 5]. Do not include any other text after the JSON list."}, {"role": "user", "content": "You need to sort the followin... | opaque-tool-sorting | {"style": "rule", "ground_truth": [3, 42, 23, 28, 69]} | {"rule_name": "reverse_digits", "elements": [3, 42, 23, 69, 28], "rule_description": "Elements ordered by their digit-reversed values"} |
hash_values | [{"role": "system", "content": "You are a helpful assistant that solves sorting problems. You will be given a list of numbers and a sorting rule. Output the sorted array as a JSON list, e.g. [3, 1, 4, 1, 5]. Do not include any other text after the JSON list."}, {"role": "user", "content": "You need to sort the followin... | opaque-tool-sorting | {"style": "rule", "ground_truth": [20, 24, 98, 45, 34]} | {"rule_name": "prime_distance", "elements": [34, 20, 24, 98, 45], "rule_description": "Elements ordered by distance to nearest prime number"} |
hash_values | [{"role": "system", "content": "You are a helpful assistant that solves sorting problems. You will be given a list of numbers and a sorting rule. Output the sorted array as a JSON list, e.g. [3, 1, 4, 1, 5]. Do not include any other text after the JSON list."}, {"role": "user", "content": "You need to sort the followin... | opaque-tool-sorting | {"style": "rule", "ground_truth": [45, 62, 66, 72, 83, 18, 98]} | {"rule_name": "digit_operations", "elements": [83, 18, 45, 72, 66, 98, 62], "rule_description": "Elements ordered by a hidden digit-based calculation"} |
hash_values | [{"role": "system", "content": "You are a helpful assistant that solves sorting problems. You will be given a list of numbers and a sorting rule. Output the sorted array as a JSON list, e.g. [3, 1, 4, 1, 5]. Do not include any other text after the JSON list."}, {"role": "user", "content": "You need to sort the followin... | opaque-tool-sorting | {"style": "rule", "ground_truth": [7, 16, 48, 72, 90, 97, 5]} | {"rule_name": "circular_shift", "elements": [90, 16, 97, 72, 48, 7, 5], "rule_description": "Elements ordered by a hidden circular permutation"} |
hash_values | [{"role": "system", "content": "You are a helpful assistant that solves sorting problems. You will be given a list of numbers and a sorting rule. Output the sorted array as a JSON list, e.g. [3, 1, 4, 1, 5]. Do not include any other text after the JSON list."}, {"role": "user", "content": "You need to sort the followin... | opaque-tool-sorting | {"style": "rule", "ground_truth": [14, 55, 62, 76, 48, 77, 28, 78, 88]} | {"rule_name": "digit_operations", "elements": [48, 77, 28, 14, 88, 78, 62, 55, 76], "rule_description": "Elements ordered by a hidden digit-based calculation"} |
hash_values | [{"role": "system", "content": "You are a helpful assistant that solves sorting problems. You will be given a list of numbers and a sorting rule. Output the sorted array as a JSON list, e.g. [3, 1, 4, 1, 5]. Do not include any other text after the JSON list."}, {"role": "user", "content": "You need to sort the followin... | opaque-tool-sorting | {"style": "rule", "ground_truth": [60, 91, 62, 34, 35, 26]} | {"rule_name": "reverse_digits", "elements": [34, 35, 60, 91, 62, 26], "rule_description": "Elements ordered by their digit-reversed values"} |
hash_values | [{"role": "system", "content": "You are a helpful assistant that solves sorting problems. You will be given a list of numbers and a sorting rule. Output the sorted array as a JSON list, e.g. [3, 1, 4, 1, 5]. Do not include any other text after the JSON list."}, {"role": "user", "content": "You need to sort the followin... | opaque-tool-sorting | {"style": "rule", "ground_truth": [2, 3, 33, 98, 91, 71]} | {"rule_name": "palindrome_distance", "elements": [3, 2, 33, 98, 71, 91], "rule_description": "Elements ordered by distance to palindromic numbers"} |
hash_values | [{"role": "system", "content": "You are a helpful assistant that solves sorting problems. You will be given a list of numbers and a sorting rule. Output the sorted array as a JSON list, e.g. [3, 1, 4, 1, 5]. Do not include any other text after the JSON list."}, {"role": "user", "content": "You need to sort the followin... | opaque-tool-sorting | {"style": "rule", "ground_truth": [38, 12, 21, 90, 60]} | {"rule_name": "sum_with_neighbors", "elements": [12, 38, 90, 60, 21], "rule_description": "Elements ordered by hidden pairwise relationships"} |
hash_values | [{"role": "system", "content": "You are a helpful assistant that solves sorting problems. You will be given a list of numbers and a sorting rule. Output the sorted array as a JSON list, e.g. [3, 1, 4, 1, 5]. Do not include any other text after the JSON list."}, {"role": "user", "content": "You need to sort the followin... | opaque-tool-sorting | {"style": "rule", "ground_truth": [19, 41, 84, 96, 98, 91, 99, 26, 56]} | {"rule_name": "prime_distance", "elements": [41, 91, 19, 98, 56, 84, 96, 99, 26], "rule_description": "Elements ordered by distance to nearest prime number"} |
hash_values | [{"role": "system", "content": "You are a helpful assistant that solves sorting problems. You will be given a list of numbers and a sorting rule. Output the sorted array as a JSON list, e.g. [3, 1, 4, 1, 5]. Do not include any other text after the JSON list."}, {"role": "user", "content": "You need to sort the followin... | opaque-tool-sorting | {"style": "rule", "ground_truth": [32, 43, 53, 52, 47, 45, 59, 64, 83]} | {"rule_name": "alternating_zones", "elements": [59, 47, 53, 83, 32, 43, 52, 45, 64], "rule_description": "Elements ordered by hidden zone-based rules"} |
hash_values | [{"role": "system", "content": "You are a helpful assistant that solves sorting problems. You will be given a list of numbers and a sorting rule. Output the sorted array as a JSON list, e.g. [3, 1, 4, 1, 5]. Do not include any other text after the JSON list."}, {"role": "user", "content": "You need to sort the followin... | opaque-tool-sorting | {"style": "rule", "ground_truth": [11, 2, 61, 6, 74, 97, 91]} | {"rule_name": "digit_operations", "elements": [91, 11, 74, 61, 97, 6, 2], "rule_description": "Elements ordered by a hidden digit-based calculation"} |
hash_values | [{"role": "system", "content": "You are a helpful assistant that solves sorting problems. You will be given a list of numbers and a sorting rule. Output the sorted array as a JSON list, e.g. [3, 1, 4, 1, 5]. Do not include any other text after the JSON list."}, {"role": "user", "content": "You need to sort the followin... | opaque-tool-sorting | {"style": "rule", "ground_truth": [1, 65, 12, 77, 24, 69, 43, 26]} | {"rule_name": "digital_root", "elements": [1, 43, 77, 65, 69, 24, 12, 26], "rule_description": "Elements ordered by digital root"} |
hash_values | [{"role": "system", "content": "You are a helpful assistant that solves sorting problems. You will be given a list of numbers and a sorting rule. Output the sorted array as a JSON list, e.g. [3, 1, 4, 1, 5]. Do not include any other text after the JSON list."}, {"role": "user", "content": "You need to sort the followin... | opaque-tool-sorting | {"style": "rule", "ground_truth": [94, 73, 61, 79, 38, 78, 39]} | {"rule_name": "hash_based", "elements": [61, 38, 79, 73, 39, 94, 78], "rule_description": "Elements are ordered by a hidden hash function"} |
hash_values | [{"role": "system", "content": "You are a helpful assistant that solves sorting problems. You will be given a list of numbers and a sorting rule. Output the sorted array as a JSON list, e.g. [3, 1, 4, 1, 5]. Do not include any other text after the JSON list."}, {"role": "user", "content": "You need to sort the followin... | opaque-tool-sorting | {"style": "rule", "ground_truth": [37, 47, 67, 82, 59, 90]} | {"rule_name": "digit_operations", "elements": [67, 37, 59, 90, 82, 47], "rule_description": "Elements ordered by a hidden digit-based calculation"} |
hash_values | [{"role": "system", "content": "You are a helpful assistant that solves sorting problems. You will be given a list of numbers and a sorting rule. Output the sorted array as a JSON list, e.g. [3, 1, 4, 1, 5]. Do not include any other text after the JSON list."}, {"role": "user", "content": "You need to sort the followin... | opaque-tool-sorting | {"style": "rule", "ground_truth": [55, 20, 22, 35, 56, 85, 27, 83, 66]} | {"rule_name": "fibonacci_proximity", "elements": [22, 85, 20, 35, 56, 66, 55, 83, 27], "rule_description": "Elements ordered by proximity to Fibonacci sequence"} |
hash_values | [{"role": "system", "content": "You are a helpful assistant that solves sorting problems. You will be given a list of numbers and a sorting rule. Output the sorted array as a JSON list, e.g. [3, 1, 4, 1, 5]. Do not include any other text after the JSON list."}, {"role": "user", "content": "You need to sort the followin... | opaque-tool-sorting | {"style": "rule", "ground_truth": [7, 47, 40, 99, 75, 79]} | {"rule_name": "sum_with_neighbors", "elements": [7, 75, 99, 47, 79, 40], "rule_description": "Elements ordered by hidden pairwise relationships"} |
hash_values | [{"role": "system", "content": "You are a helpful assistant that solves sorting problems. You will be given a list of numbers and a sorting rule. Output the sorted array as a JSON list, e.g. [3, 1, 4, 1, 5]. Do not include any other text after the JSON list."}, {"role": "user", "content": "You need to sort the followin... | opaque-tool-sorting | {"style": "rule", "ground_truth": [1, 44, 42, 74, 26, 40, 93]} | {"rule_name": "palindrome_distance", "elements": [1, 42, 40, 74, 93, 26, 44], "rule_description": "Elements ordered by distance to palindromic numbers"} |
hash_values | [{"role": "system", "content": "You are a helpful assistant that solves sorting problems. You will be given a list of numbers and a sorting rule. Output the sorted array as a JSON list, e.g. [3, 1, 4, 1, 5]. Do not include any other text after the JSON list."}, {"role": "user", "content": "You need to sort the followin... | opaque-tool-sorting | {"style": "rule", "ground_truth": [10, 45, 65, 41, 85, 95]} | {"rule_name": "palindrome_distance", "elements": [10, 95, 45, 85, 65, 41], "rule_description": "Elements ordered by distance to palindromic numbers"} |
hash_values | [{"role": "system", "content": "You are a helpful assistant that solves sorting problems. You will be given a list of numbers and a sorting rule. Output the sorted array as a JSON list, e.g. [3, 1, 4, 1, 5]. Do not include any other text after the JSON list."}, {"role": "user", "content": "You need to sort the followin... | opaque-tool-sorting | {"style": "rule", "ground_truth": [3, 37, 16, 62, 57, 69, 56, 92, 94]} | {"rule_name": "prime_distance", "elements": [62, 16, 3, 94, 56, 92, 37, 69, 57], "rule_description": "Elements ordered by distance to nearest prime number"} |
hash_values | [{"role": "system", "content": "You are a helpful assistant that solves sorting problems. You will be given a list of numbers and a sorting rule. Output the sorted array as a JSON list, e.g. [3, 1, 4, 1, 5]. Do not include any other text after the JSON list."}, {"role": "user", "content": "You need to sort the followin... | opaque-tool-sorting | {"style": "rule", "ground_truth": [14, 17, 46, 69, 95, 13]} | {"rule_name": "circular_shift", "elements": [17, 69, 14, 46, 95, 13], "rule_description": "Elements ordered by a hidden circular permutation"} |
hash_values | [{"role": "system", "content": "You are a helpful assistant that solves sorting problems. You will be given a list of numbers and a sorting rule. Output the sorted array as a JSON list, e.g. [3, 1, 4, 1, 5]. Do not include any other text after the JSON list."}, {"role": "user", "content": "You need to sort the followin... | opaque-tool-sorting | {"style": "rule", "ground_truth": [46, 53, 55, 57, 22, 71, 73]} | {"rule_name": "modulo_chain", "elements": [46, 53, 22, 55, 73, 57, 71], "rule_description": "Elements ordered by cascading modulo operations (hidden moduli)"} |
hash_values | [{"role": "system", "content": "You are a helpful assistant that solves sorting problems. You will be given a list of numbers and a sorting rule. Output the sorted array as a JSON list, e.g. [3, 1, 4, 1, 5]. Do not include any other text after the JSON list."}, {"role": "user", "content": "You need to sort the followin... | opaque-tool-sorting | {"style": "rule", "ground_truth": [30, 24, 58, 92, 76, 17, 57, 77]} | {"rule_name": "bit_operations", "elements": [76, 92, 57, 17, 58, 24, 30, 77], "rule_description": "Elements ordered by a hidden bitwise operation"} |
hash_values | [{"role": "system", "content": "You are a helpful assistant that solves sorting problems. You will be given a list of numbers and a sorting rule. Output the sorted array as a JSON list, e.g. [3, 1, 4, 1, 5]. Do not include any other text after the JSON list."}, {"role": "user", "content": "You need to sort the followin... | opaque-tool-sorting | {"style": "rule", "ground_truth": [44, 21, 32, 87, 79, 74, 59, 95, 38, 72]} | {"rule_name": "palindrome_distance", "elements": [32, 38, 72, 95, 21, 44, 79, 87, 74, 59], "rule_description": "Elements ordered by distance to palindromic numbers"} |
hash_values | [{"role": "system", "content": "You are a helpful assistant that solves sorting problems. You will be given a list of numbers and a sorting rule. Output the sorted array as a JSON list, e.g. [3, 1, 4, 1, 5]. Do not include any other text after the JSON list."}, {"role": "user", "content": "You need to sort the followin... | opaque-tool-sorting | {"style": "rule", "ground_truth": [20, 43, 50, 62, 56, 73, 49]} | {"rule_name": "digit_operations", "elements": [43, 73, 50, 49, 56, 62, 20], "rule_description": "Elements ordered by a hidden digit-based calculation"} |
hash_values | [{"role": "system", "content": "You are a helpful assistant that solves sorting problems. You will be given a list of numbers and a sorting rule. Output the sorted array as a JSON list, e.g. [3, 1, 4, 1, 5]. Do not include any other text after the JSON list."}, {"role": "user", "content": "You need to sort the followin... | opaque-tool-sorting | {"style": "rule", "ground_truth": [78, 16, 52, 79, 98, 92]} | {"rule_name": "bit_operations", "elements": [92, 98, 78, 79, 16, 52], "rule_description": "Elements ordered by a hidden bitwise operation"} |
hash_values | [{"role": "system", "content": "You are a helpful assistant that solves sorting problems. You will be given a list of numbers and a sorting rule. Output the sorted array as a JSON list, e.g. [3, 1, 4, 1, 5]. Do not include any other text after the JSON list."}, {"role": "user", "content": "You need to sort the followin... | opaque-tool-sorting | {"style": "rule", "ground_truth": [20, 22, 3, 35, 36, 60, 58, 82]} | {"rule_name": "digit_operations", "elements": [20, 60, 35, 22, 3, 36, 82, 58], "rule_description": "Elements ordered by a hidden digit-based calculation"} |
hash_values | [{"role": "system", "content": "You are a helpful assistant that solves sorting problems. You will be given a list of numbers and a sorting rule. Output the sorted array as a JSON list, e.g. [3, 1, 4, 1, 5]. Do not include any other text after the JSON list."}, {"role": "user", "content": "You need to sort the followin... | opaque-tool-sorting | {"style": "rule", "ground_truth": [1, 10, 34, 27, 85, 86, 91]} | {"rule_name": "digit_operations", "elements": [1, 86, 27, 91, 10, 85, 34], "rule_description": "Elements ordered by a hidden digit-based calculation"} |
hash_values | [{"role": "system", "content": "You are a helpful assistant that solves sorting problems. You will be given a list of numbers and a sorting rule. Output the sorted array as a JSON list, e.g. [3, 1, 4, 1, 5]. Do not include any other text after the JSON list."}, {"role": "user", "content": "You need to sort the followin... | opaque-tool-sorting | {"style": "rule", "ground_truth": [31, 61, 14, 15, 25, 27, 67, 59]} | {"rule_name": "reverse_digits", "elements": [27, 67, 14, 61, 31, 59, 15, 25], "rule_description": "Elements ordered by their digit-reversed values"} |
hash_values | [{"role": "system", "content": "You are a helpful assistant that solves sorting problems. You will be given a list of numbers and a sorting rule. Output the sorted array as a JSON list, e.g. [3, 1, 4, 1, 5]. Do not include any other text after the JSON list."}, {"role": "user", "content": "You need to sort the followin... | opaque-tool-sorting | {"style": "rule", "ground_truth": [55, 23, 78, 31, 48, 50]} | {"rule_name": "palindrome_distance", "elements": [50, 78, 55, 23, 31, 48], "rule_description": "Elements ordered by distance to palindromic numbers"} |
hash_values | [{"role": "system", "content": "You are a helpful assistant that solves sorting problems. You will be given a list of numbers and a sorting rule. Output the sorted array as a JSON list, e.g. [3, 1, 4, 1, 5]. Do not include any other text after the JSON list."}, {"role": "user", "content": "You need to sort the followin... | opaque-tool-sorting | {"style": "rule", "ground_truth": [5, 56, 36, 92, 17, 48, 97, 65, 67]} | {"rule_name": "fibonacci_proximity", "elements": [36, 5, 92, 67, 65, 17, 56, 48, 97], "rule_description": "Elements ordered by proximity to Fibonacci sequence"} |
hash_values | [{"role": "system", "content": "You are a helpful assistant that solves sorting problems. You will be given a list of numbers and a sorting rule. Output the sorted array as a JSON list, e.g. [3, 1, 4, 1, 5]. Do not include any other text after the JSON list."}, {"role": "user", "content": "You need to sort the followin... | opaque-tool-sorting | {"style": "rule", "ground_truth": [5, 67, 26, 38, 46, 62, 45, 68]} | {"rule_name": "divisor_count", "elements": [68, 62, 67, 45, 46, 38, 5, 26], "rule_description": "Elements ordered by number of divisors"} |
hash_values | [{"role": "system", "content": "You are a helpful assistant that solves sorting problems. You will be given a list of numbers and a sorting rule. Output the sorted array as a JSON list, e.g. [3, 1, 4, 1, 5]. Do not include any other text after the JSON list."}, {"role": "user", "content": "You need to sort the followin... | opaque-tool-sorting | {"style": "rule", "ground_truth": [18, 32, 84, 60, 6, 74, 95, 93]} | {"rule_name": "sum_with_neighbors", "elements": [74, 84, 18, 95, 93, 6, 60, 32], "rule_description": "Elements ordered by hidden pairwise relationships"} |
hash_values | [{"role": "system", "content": "You are a helpful assistant that solves sorting problems. You will be given a list of numbers and a sorting rule. Output the sorted array as a JSON list, e.g. [3, 1, 4, 1, 5]. Do not include any other text after the JSON list."}, {"role": "user", "content": "You need to sort the followin... | opaque-tool-sorting | {"style": "rule", "ground_truth": [62, 82, 51, 66, 95, 19, 55, 3, 23, 37]} | {"rule_name": "bit_operations", "elements": [51, 66, 62, 19, 3, 95, 23, 82, 37, 55], "rule_description": "Elements ordered by a hidden bitwise operation"} |
hash_values | [{"role": "system", "content": "You are a helpful assistant that solves sorting problems. You will be given a list of numbers and a sorting rule. Output the sorted array as a JSON list, e.g. [3, 1, 4, 1, 5]. Do not include any other text after the JSON list."}, {"role": "user", "content": "You need to sort the followin... | opaque-tool-sorting | {"style": "rule", "ground_truth": [25, 74, 17, 68, 77, 83, 4, 44, 3, 6]} | {"rule_name": "bit_operations", "elements": [4, 77, 17, 74, 44, 25, 83, 3, 68, 6], "rule_description": "Elements ordered by a hidden bitwise operation"} |
hash_values | [{"role": "system", "content": "You are a helpful assistant that solves sorting problems. You will be given a list of numbers and a sorting rule. Output the sorted array as a JSON list, e.g. [3, 1, 4, 1, 5]. Do not include any other text after the JSON list."}, {"role": "user", "content": "You need to sort the followin... | opaque-tool-sorting | {"style": "rule", "ground_truth": [10, 2, 42, 55, 82, 9]} | {"rule_name": "digit_operations", "elements": [42, 2, 82, 9, 55, 10], "rule_description": "Elements ordered by a hidden digit-based calculation"} |
hash_values | [{"role": "system", "content": "You are a helpful assistant that solves sorting problems. You will be given a list of numbers and a sorting rule. Output the sorted array as a JSON list, e.g. [3, 1, 4, 1, 5]. Do not include any other text after the JSON list."}, {"role": "user", "content": "You need to sort the followin... | opaque-tool-sorting | {"style": "rule", "ground_truth": [75, 82, 7, 21, 62, 68, 70]} | {"rule_name": "circular_shift", "elements": [82, 7, 75, 62, 70, 68, 21], "rule_description": "Elements ordered by a hidden circular permutation"} |
hash_values | [{"role": "system", "content": "You are a helpful assistant that solves sorting problems. You will be given a list of numbers and a sorting rule. Output the sorted array as a JSON list, e.g. [3, 1, 4, 1, 5]. Do not include any other text after the JSON list."}, {"role": "user", "content": "You need to sort the followin... | opaque-tool-sorting | {"style": "rule", "ground_truth": [3, 11, 49, 70, 57, 63, 93, 45]} | {"rule_name": "hash_based", "elements": [93, 70, 63, 3, 45, 11, 57, 49], "rule_description": "Elements are ordered by a hidden hash function"} |
hash_values | [{"role": "system", "content": "You are a helpful assistant that solves sorting problems. You will be given a list of numbers and a sorting rule. Output the sorted array as a JSON list, e.g. [3, 1, 4, 1, 5]. Do not include any other text after the JSON list."}, {"role": "user", "content": "You need to sort the followin... | opaque-tool-sorting | {"style": "rule", "ground_truth": [1, 71, 62, 69, 93, 52]} | {"rule_name": "divisor_count", "elements": [69, 1, 62, 52, 93, 71], "rule_description": "Elements ordered by number of divisors"} |
hash_values | [{"role": "system", "content": "You are a helpful assistant that solves sorting problems. You will be given a list of numbers and a sorting rule. Output the sorted array as a JSON list, e.g. [3, 1, 4, 1, 5]. Do not include any other text after the JSON list."}, {"role": "user", "content": "You need to sort the followin... | opaque-tool-sorting | {"style": "rule", "ground_truth": [21, 51, 12, 13, 44, 86, 39]} | {"rule_name": "reverse_digits", "elements": [13, 51, 44, 86, 12, 21, 39], "rule_description": "Elements ordered by their digit-reversed values"} |
hash_values | [{"role": "system", "content": "You are a helpful assistant that solves sorting problems. You will be given a list of numbers and a sorting rule. Output the sorted array as a JSON list, e.g. [3, 1, 4, 1, 5]. Do not include any other text after the JSON list."}, {"role": "user", "content": "You need to sort the followin... | opaque-tool-sorting | {"style": "rule", "ground_truth": [88, 1, 27, 46, 60, 71, 73]} | {"rule_name": "circular_shift", "elements": [46, 71, 73, 1, 88, 27, 60], "rule_description": "Elements ordered by a hidden circular permutation"} |
hash_values | [{"role": "system", "content": "You are a helpful assistant that solves sorting problems. You will be given a list of numbers and a sorting rule. Output the sorted array as a JSON list, e.g. [3, 1, 4, 1, 5]. Do not include any other text after the JSON list."}, {"role": "user", "content": "You need to sort the followin... | opaque-tool-sorting | {"style": "rule", "ground_truth": [64, 78, 85, 94, 2, 13, 17, 27, 43]} | {"rule_name": "circular_shift", "elements": [17, 13, 85, 94, 43, 78, 2, 27, 64], "rule_description": "Elements ordered by a hidden circular permutation"} |
hash_values | [{"role": "system", "content": "You are a helpful assistant that solves sorting problems. You will be given a list of numbers and a sorting rule. Output the sorted array as a JSON list, e.g. [3, 1, 4, 1, 5]. Do not include any other text after the JSON list."}, {"role": "user", "content": "You need to sort the followin... | opaque-tool-sorting | {"style": "rule", "ground_truth": [34, 45, 5, 74, 83]} | {"rule_name": "digit_operations", "elements": [74, 34, 83, 45, 5], "rule_description": "Elements ordered by a hidden digit-based calculation"} |
hash_values | [{"role": "system", "content": "You are a helpful assistant that solves sorting problems. You will be given a list of numbers and a sorting rule. Output the sorted array as a JSON list, e.g. [3, 1, 4, 1, 5]. Do not include any other text after the JSON list."}, {"role": "user", "content": "You need to sort the followin... | opaque-tool-sorting | {"style": "rule", "ground_truth": [22, 69, 84, 83, 81, 77, 74]} | {"rule_name": "alternating_zones", "elements": [84, 69, 77, 74, 22, 83, 81], "rule_description": "Elements ordered by hidden zone-based rules"} |
hash_values | [{"role": "system", "content": "You are a helpful assistant that solves sorting problems. You will be given a list of numbers and a sorting rule. Output the sorted array as a JSON list, e.g. [3, 1, 4, 1, 5]. Do not include any other text after the JSON list."}, {"role": "user", "content": "You need to sort the followin... | opaque-tool-sorting | {"style": "rule", "ground_truth": [24, 43, 62, 56, 27, 68, 78, 88, 98]} | {"rule_name": "digit_operations", "elements": [43, 78, 62, 56, 98, 68, 27, 24, 88], "rule_description": "Elements ordered by a hidden digit-based calculation"} |
hash_values | [{"role": "system", "content": "You are a helpful assistant that solves sorting problems. You will be given a list of numbers and a sorting rule. Output the sorted array as a JSON list, e.g. [3, 1, 4, 1, 5]. Do not include any other text after the JSON list."}, {"role": "user", "content": "You need to sort the followin... | opaque-tool-sorting | {"style": "rule", "ground_truth": [46, 64, 31, 67, 94, 68, 45]} | {"rule_name": "digital_root", "elements": [31, 67, 64, 68, 94, 46, 45], "rule_description": "Elements ordered by digital root"} |
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