{"kind":"task","effective_mode":"full","benchmark":{"kind":"benchmark","effective_mode":"full","slug":"longbench-v2","formal_name":"LongBench v2","introduction":"LongBench v2 evaluates deep understanding and reasoning over long contexts through multiple-choice questions. Its official description lists 503 questions spanning tasks such as single-document and multi-document QA and code-repository understanding.","introduction_ja":"","introduction_en":"","category":"Category not supplied","task_count":null,"acquisition_status":"Acquisition status not supplied","official_url":"https://huggingface.co/datasets/zai-org/LongBench-v2","indexing_mode":"noindex","profile":{"resources":[],"task_format":"","scoring":"","metric":"","size":"","answer_access":"","license":"","citation":"","maintainer":"","released":"","why_hard":"","related":[]}},"task_id":"6a35bd6e-6fb2-5e75-b54c-a31d7b4c4b45","task_key":"train--671b1335bb02136c067d4e88","task_revision_id":"3","upstream_id":"671b1335bb02136c067d4e88","short_description":"Which player won the most times in the game?","config":"","split":"train","body":"{\"choice_A\":\"player_2\",\"choice_B\":\"player_4\",\"choice_C\":\"player_6\",\"choice_D\":\"player_8\",\"context\":\"{\\n \\\"meta\\\": {\\n \\\"name_exp\\\": \\\"qwen2-72b_guessing_game_v1_1\\\",\\n \\\"player_num\\\": 10,\\n \\\"min\\\": 0,\\n \\\"max\\\": 100,\\n \\\"ratio\\\": 0.6666666666666666,\\n \\\"ratio_str\\\": \\\"2/3\\\",\\n \\\"round_id\\\": 20,\\n \\\"version\\\": \\\"v1\\\"\\n },\\n \\\"round_records\\\": [\\n {\\n \\\"responses\\\": [\\n 33,\\n 50,\\n 50,\\n 33,\\n 66,\\n 33,\\n 50,\\n 66,\\n 66,\\n 33\\n ],\\n \\\"mean\\\": 48,\\n \\\"mean_ratio\\\": 32.0,\\n \\\"winner\\\": 33,\\n \\\"winner_num\\\": 4\\n },\\n {\\n \\\"responses\\\": [\\n 22,\\n 30,\\n 30,\\n 33,\\n 40,\\n 21,\\n 40,\\n 40,\\n 33,\\n 22\\n ],\\n \\\"mean\\\": 31.1,\\n \\\"mean_ratio\\\": 20.733333333333334,\\n \\\"winner\\\": 21,\\n \\\"winner_num\\\": 1\\n },\\n {\\n \\\"responses\\\": [\\n 22,\\n 25,\\n 20,\\n 15,\\n 27,\\n 25,\\n 20,\\n 25,\\n 16,\\n 15\\n ],\\n \\\"mean\\\": 21,\\n \\\"mean_ratio\\\": 14.0,\\n \\\"winner\\\": 15,\\n \\\"winner_num\\\": 2\\n },\\n {\\n \\\"responses\\\": [\\n 13,\\n 13,\\n 16,\\n 18,\\n 12,\\n 20,\\n 20,\\n 18,\\n 13,\\n 12\\n ],\\n \\\"mean\\\": 15.5,\\n \\\"mean_ratio\\\": 10.333333333333332,\\n \\\"winner\\\": 12,\\n \\\"winner_num\\\": 2\\n },\\n {\\n \\\"responses\\\": [\\n 15,\\n 10,\\n 10,\\n 16,\\n 9,\\n 10,\\n 9,\\n 13,\\n 10,\\n 14\\n ],\\n \\\"mean\\\": 11.6,\\n \\\"mean_ratio\\\": 7.7333333333333325,\\n \\\"winner\\\": 9,\\n \\\"winner_num\\\": 2\\n },\\n {\\n \\\"responses\\\": [\\n 10,\\n 10,\\n 10,\\n 8,\\n 12,\\n 7,\\n 8,\\n 7,\\n 8,\\n 7\\n ],\\n \\\"mean\\\": 8.7,\\n \\\"mean_ratio\\\": 5.799999999999999,\\n \\\"winner\\\": 7,\\n \\\"winner_num\\\": 3\\n },\\n {\\n \\\"responses\\\": [\\n 6,\\n 7,\\n 6,\\n 6,\\n 8,\\n 6,\\n 6,\\n 8,\\n 9,\\n 6\\n ],\\n \\\"mean\\\": 6.8,\\n \\\"mean_ratio\\\": 4.533333333333333,\\n \\\"winner\\\": 6,\\n \\\"winner_num\\\": 6\\n },\\n {\\n \\\"responses\\\": [\\n 5,\\n 6,\\n 6,\\n 5,\\n 8,\\n 5,\\n 5,\\n 4,\\n 5,\\n 6\\n ],\\n \\\"mean\\\": 5.5,\\n \\\"mean_ratio\\\": 3.6666666666666665,\\n \\\"winner\\\": 4,\\n \\\"winner_num\\\": 1\\n },\\n {\\n \\\"responses\\\": [\\n 3,\\n 6,\\n 4,\\n 4,\\n 4,\\n 4,\\n 4,\\n 5,\\n 4,\\n 4\\n ],\\n \\\"mean\\\": 4.2,\\n \\\"mean_ratio\\\": 2.8,\\n \\\"winner\\\": 3,\\n \\\"winner_num\\\": 1\\n },\\n {\\n \\\"responses\\\": [\\n 3,\\n 3,\\n 4,\\n 2,\\n 5,\\n 3,\\n 3,\\n 3,\\n 3,\\n 3\\n ],\\n \\\"mean\\\": 3.2,\\n \\\"mean_ratio\\\": 2.1333333333333333,\\n \\\"winner\\\": 2,\\n \\\"winner_num\\\": 1\\n },\\n {\\n \\\"responses\\\": [\\n 4,\\n 2,\\n 2,\\n 2,\\n 2,\\n 2,\\n 2,\\n 2,\\n 3,\\n 2\\n ],\\n \\\"mean\\\": 2.3,\\n \\\"mean_ratio\\\": 1.5333333333333332,\\n \\\"winner\\\": 2,\\n \\\"winner_num\\\": 8\\n },\\n {\\n \\\"responses\\\": [\\n 2,\\n 2,\\n 2,\\n 2,\\n 2,\\n 2,\\n 2,\\n 2,\\n 3,\\n 2\\n ],\\n \\\"mean\\\": 2.1,\\n \\\"mean_ratio\\\": 1.4,\\n \\\"winner\\\": 2,\\n \\\"winner_num\\\": 9\\n },\\n {\\n \\\"responses\\\": [\\n 2,\\n 2,\\n 2,\\n 2,\\n 2,\\n 2,\\n 2,\\n 2,\\n 2,\\n 2\\n ],\\n \\\"mean\\\": 2,\\n \\\"mean_ratio\\\": 1.3333333333333333,\\n \\\"winner\\\": 2,\\n \\\"winner_num\\\": 10\\n },\\n {\\n \\\"responses\\\": [\\n 2,\\n 2,\\n 2,\\n 2,\\n 2,\\n 2,\\n 2,\\n 2,\\n 2,\\n 2\\n ],\\n \\\"mean\\\": 2,\\n \\\"mean_ratio\\\": 1.3333333333333333,\\n \\\"winner\\\": 2,\\n \\\"winner_num\\\": 10\\n },\\n {\\n \\\"responses\\\": [\\n 2,\\n 2,\\n 2,\\n 2,\\n 2,\\n 2,\\n 2,\\n 2,\\n 2,\\n 2\\n ],\\n \\\"mean\\\": 2,\\n \\\"mean_ratio\\\": 1.3333333333333333,\\n \\\"winner\\\": 2,\\n \\\"winner_num\\\": 10\\n },\\n {\\n \\\"responses\\\": [\\n 2,\\n 2,\\n 2,\\n 2,\\n 2,\\n 2,\\n 2,\\n 2,\\n 2,\\n 2\\n ],\\n \\\"mean\\\": 2,\\n \\\"mean_ratio\\\": 1.3333333333333333,\\n \\\"winner\\\": 2,\\n \\\"winner_num\\\": 10\\n },\\n {\\n \\\"responses\\\": [\\n 2,\\n 2,\\n 2,\\n 2,\\n 2,\\n 2,\\n 2,\\n 2,\\n 2,\\n 2\\n ],\\n \\\"mean\\\": 2,\\n \\\"mean_ratio\\\": 1.3333333333333333,\\n \\\"winner\\\": 2,\\n \\\"winner_num\\\": 10\\n },\\n {\\n \\\"responses\\\": [\\n 2,\\n 2,\\n 2,\\n 2,\\n 2,\\n 2,\\n 2,\\n 2,\\n 2,\\n 2\\n ],\\n \\\"mean\\\": 2,\\n \\\"mean_ratio\\\": 1.3333333333333333,\\n \\\"winner\\\": 2,\\n \\\"winner_num\\\": 10\\n },\\n {\\n \\\"responses\\\": [\\n 2,\\n 2,\\n 2,\\n 2,\\n 2,\\n 2,\\n 2,\\n 2,\\n 2,\\n 2\\n ],\\n \\\"mean\\\": 2,\\n \\\"mean_ratio\\\": 1.3333333333333333,\\n \\\"winner\\\": 2,\\n \\\"winner_num\\\": 10\\n },\\n {\\n \\\"responses\\\": [\\n 2,\\n 2,\\n 2,\\n 2,\\n 2,\\n 2,\\n 2,\\n 2,\\n 2,\\n 2\\n ],\\n \\\"mean\\\": 2,\\n \\\"mean_ratio\\\": 1.3333333333333333,\\n \\\"winner\\\": 2,\\n \\\"winner_num\\\": 10\\n }\\n ],\\n \\\"player_data\\\": [\\n {\\n \\\"model\\\": \\\"Qwen/Qwen2-72B-Instruct\\\",\\n \\\"id\\\": \\\"player_0\\\",\\n \\\"prompt\\\": [\\n {\\n \\\"role\\\": \\\"system\\\",\\n \\\"content\\\": \\\"\\\\n\\\\nYou are participating in a game played by 10 players over 20 rounds.\\\\n\\\\nGame Rules:\\\\n\\\\n1. Each player selects an integer number between 0 and 100, inclusive.\\\\n2. After all selections are made, the average of all chosen numbers is calculated.\\\\n3. The target number is 2/3 of this average.\\\\n4. The winner is the player(s) who selected a number closest to the target number.\\\"\\n },\\n {\\n \\\"role\\\": \\\"user\\\",\\n \\\"content\\\": \\\"Game Results for Round 1:\\\\n\\\\nAverage Number Chosen: 48\\\\nTarget Number (2/3 of Average): 32.00\\\\nWinning Number: 33.\\\\n\\\\nYou chose:\\\"\\n },\\n {\\n \\\"role\\\": \\\"assistant\\\",\\n \\\"content\\\": \\\"{\\\\\\\"chosen_number\\\\\\\": \\\\\\\"66\\\\\\\"}\\\"\\n },\\n {\\n \\\"role\\\": \\\"user\\\",\\n \\\"content\\\": \\\"Unfortunately you lost.\\\"\\n },\\n {\\n \\\"role\\\": \\\"user\\\",\\n \\\"content\\\": \\\"Game Results for Round 2:\\\\n\\\\nAverage Number Chosen: 31.1\\\\nTarget Number (2/3 of Average): 20.73\\\\nWinning Number: 21.\\\\n\\\\nYou chose:\\\"\\n },\\n {\\n \\\"role\\\": \\\"assistant\\\",\\n \\\"content\\\": \\\"{\\\\\\\"chosen_number\\\\\\\": \\\\\\\"40\\\\\\\"}\\\"\\n },\\n {\\n \\\"role\\\": \\\"user\\\",\\n \\\"content\\\": \\\"Unfortunately you lost.\\\"\\n },\\n {\\n \\\"role\\\": \\\"user\\\",\\n \\\"content\\\": \\\"Game Results for Round 3:\\\\n\\\\nAverage Number Chosen: 21\\\\nTarget Number (2/3 of Average): 14.00\\\\nWinning Number: 15.\\\\n\\\\nYou chose:\\\"\\n },\\n {\\n \\\"role\\\": \\\"assistant\\\",\\n \\\"content\\\": \\\"{\\\\\\\"chosen_number\\\\\\\": \\\\\\\"25\\\\\\\"}\\\"\\n },\\n {\\n \\\"role\\\": \\\"user\\\",\\n \\\"content\\\": \\\"Unfortunately you lost.\\\"\\n },\\n {\\n \\\"role\\\": \\\"user\\\",\\n \\\"content\\\": \\\"Game Results for Round 4:\\\\n\\\\nAverage Number Chosen: 15.5\\\\nTarget Number (2/3 of Average): 10.33\\\\nWinning Number: 12.\\\\n\\\\nYou chose:\\\"\\n },\\n {\\n \\\"role\\\": \\\"assistant\\\",\\n \\\"content\\\": \\\"{\\\\\\\"chosen_number\\\\\\\": \\\\\\\"16\\\\\\\"}\\\"\\n },\\n {\\n \\\"role\\\": \\\"user\\\",\\n \\\"content\\\": \\\"Unfortunately you lost.\\\"\\n },\\n {\\n \\\"role\\\": \\\"user\\\",\\n \\\"content\\\": \\\"Game Results for Round 5:\\\\n\\\\nAverage Number Chosen: 11.6\\\\nTarget Number (2/3 of Average): 7.73\\\\nWinning Number: 9.\\\\n\\\\nYou chose:\\\"\\n },\\n {\\n \\\"role\\\": \\\"assistant\\\",\\n \\\"content\\\": \\\"{\\\\\\\"chosen_number\\\\\\\": \\\\\\\"10\\\\\\\"}\\\"\\n },\\n {\\n \\\"role\\\": \\\"user\\\",\\n \\\"content\\\": \\\"Unfortunately you lost.\\\"\\n },\\n {\\n \\\"role\\\": \\\"user\\\",\\n \\\"content\\\": \\\"Game Results for Round 6:\\\\n\\\\nAverage Number Chosen: 8.7\\\\nTarget Number (2/3 of Average): 5.80\\\\nWinning Number: 7.\\\\n\\\\nYou chose:\\\"\\n },\\n {\\n \\\"role\\\": \\\"assistant\\\",\\n \\\"content\\\": \\\"{\\\\\\\"chosen_number\\\\\\\": \\\\\\\"8\\\\\\\"}\\\"\\n },\\n {\\n \\\"role\\\": \\\"user\\\",\\n \\\"content\\\": \\\"Unfortunately you lost.\\\"\\n },\\n {\\n \\\"role\\\": \\\"user\\\",\\n \\\"content\\\": \\\"Game Results for Round 7:\\\\n\\\\nAverage Number Chosen: 6.8\\\\nTarget Number (2/3 of Average): 4.53\\\\nWinning Number: 6.\\\\n\\\\nYou chose:\\\"\\n },\\n {\\n \\\"role\\\": \\\"assistant\\\",\\n \\\"content\\\": \\\"{\\\\\\\"chosen_number\\\\\\\": \\\\\\\"6\\\\\\\"}\\\"\\n },\\n {\\n \\\"role\\\": \\\"user\\\",\\n \\\"content\\\": \\\"Congratulation you won.\\\"\\n },\\n {\\n \\\"role\\\": \\\"user\\\",\\n \\\"content\\\": \\\"Game Results for Round 8:\\\\n\\\\nAverage Number Chosen: 5.5\\\\nTarget Number (2/3 of Average): 3.67\\\\nWinning Number: 4.\\\\n\\\\nYou chose:\\\"\\n },\\n {\\n \\\"role\\\": \\\"assistant\\\",\\n \\\"content\\\": \\\"{\\\\\\\"chosen_number\\\\\\\": \\\\\\\"5\\\\\\\"}\\\"\\n },\\n {\\n \\\"role\\\": \\\"user\\\",\\n \\\"content\\\": \\\"Unfortunately you lost.\\\"\\n },\\n {\\n \\\"role\\\": \\\"user\\\",\\n \\\"content\\\": \\\"Game Results for Round 9:\\\\n\\\\nAverage Number Chosen: 4.2\\\\nTarget Number (2/3 of Average): 2.80\\\\nWinning Number: 3.\\\\n\\\\nYou chose:\\\"\\n },\\n {\\n \\\"role\\\": \\\"assistant\\\",\\n \\\"content\\\": \\\"{\\\\\\\"chosen_number\\\\\\\": \\\\\\\"4\\\\\\\"}\\\"\\n },\\n {\\n \\\"role\\\": \\\"user\\\",\\n \\\"content\\\": \\\"Unfortunately you lost.\\\"\\n },\\n {\\n \\\"role\\\": \\\"user\\\",\\n \\\"content\\\": \\\"Game Results for Round 10:\\\\n\\\\nAverage Number Chosen: 3.2\\\\nTarget Number (2/3 of Average): 2.13\\\\nWinning Number: 2.\\\\n\\\\nYou chose:\\\"\\n },\\n {\\n \\\"role\\\": \\\"assistant\\\",\\n \\\"content\\\": \\\"{\\\\\\\"chosen_number\\\\\\\": \\\\\\\"3\\\\\\\"}\\\"\\n },\\n {\\n \\\"role\\\": \\\"user\\\",\\n \\\"content\\\": \\\"Unfortunately you lost.\\\"\\n },\\n {\\n \\\"role\\\": \\\"user\\\",\\n \\\"content\\\": \\\"Game Results for Round 11:\\\\n\\\\nAverage Number Chosen: 2.3\\\\nTarget Number (2/3 of Average): 1.53\\\\nWinning Number: 2.\\\\n\\\\nYou chose:\\\"\\n },\\n {\\n \\\"role\\\": \\\"assistant\\\",\\n \\\"content\\\": \\\"{\\\\\\\"chosen_number\\\\\\\": \\\\\\\"2\\\\\\\"}\\\"\\n },\\n {\\n \\\"role\\\": \\\"user\\\",\\n \\\"content\\\": \\\"Congratulation you won.\\\"\\n },\\n {\\n \\\"role\\\": \\\"user\\\",\\n \\\"content\\\": \\\"Game Results for Round 12:\\\\n\\\\nAverage Number Chosen: 2.1\\\\nTarget Number (2/3 of Average): 1.40\\\\nWinning Number: 2.\\\\n\\\\nYou chose:\\\"\\n },\\n {\\n \\\"role\\\": \\\"assistant\\\",\\n \\\"content\\\": \\\"{\\\\\\\"chosen_number\\\\\\\": \\\\\\\"2\\\\\\\"}\\\"\\n },\\n {\\n \\\"role\\\": \\\"user\\\",\\n \\\"content\\\": \\\"Congratulation you won.\\\"\\n },\\n {\\n \\\"role\\\": \\\"user\\\",\\n \\\"content\\\": \\\"Game Results for Round 13:\\\\n\\\\nAverage Number Chosen: 2\\\\nTarget Number (2/3 of Average): 1.33\\\\nWinning Number: 2.\\\\n\\\\nYou chose:\\\"\\n },\\n {\\n \\\"role\\\": \\\"assistant\\\",\\n \\\"content\\\": \\\"{\\\\\\\"chosen_number\\\\\\\": \\\\\\\"2\\\\\\\"}\\\"\\n },\\n {\\n \\\"role\\\": \\\"user\\\",\\n \\\"content\\\": \\\"Congratulation you won.\\\"\\n },\\n {\\n \\\"role\\\": \\\"user\\\",\\n \\\"content\\\": \\\"Game Results for Round 14:\\\\n\\\\nAverage Number Chosen: 2\\\\nTarget Number (2/3 of Average): 1.33\\\\nWinning Number: 2.\\\\n\\\\nYou chose:\\\"\\n },\\n {\\n \\\"role\\\": \\\"assistant\\\",\\n \\\"content\\\": \\\"{\\\\\\\"chosen_number\\\\\\\": \\\\\\\"2\\\\\\\"}\\\"\\n },\\n {\\n \\\"role\\\": \\\"user\\\",\\n \\\"content\\\": \\\"Congratulation you won.\\\"\\n },\\n {\\n \\\"role\\\": \\\"user\\\",\\n \\\"content\\\": \\\"Game Results for Round 15:\\\\n\\\\nAverage Number Chosen: 2\\\\nTarget Number (2/3 of Average): 1.33\\\\nWinning Number: 2.\\\\n\\\\nYou chose:\\\"\\n },\\n {\\n \\\"role\\\": \\\"assistant\\\",\\n \\\"content\\\": \\\"{\\\\\\\"chosen_number\\\\\\\": \\\\\\\"2\\\\\\\"}\\\"\\n },\\n {\\n \\\"role\\\": \\\"user\\\",\\n \\\"content\\\": \\\"Congratulation you won.\\\"\\n },\\n {\\n \\\"role\\\": \\\"user\\\",\\n \\\"content\\\": \\\"Game Results for Round 16:\\\\n\\\\nAverage Number Chosen: 2\\\\nTarget Number (2/3 of Average): 1.33\\\\nWinning Number: 2.\\\\n\\\\nYou chose:\\\"\\n },\\n {\\n \\\"role\\\": \\\"assistant\\\",\\n \\\"content\\\": \\\"{\\\\\\\"chosen_number\\\\\\\": \\\\\\\"2\\\\\\\"}\\\"\\n },\\n {\\n \\\"role\\\": \\\"user\\\",\\n \\\"content\\\": \\\"Congratulation you won.\\\"\\n },\\n {\\n \\\"role\\\": \\\"user\\\",\\n \\\"content\\\": \\\"Game Results for Round 17:\\\\n\\\\nAverage Number Chosen: 2\\\\nTarget Number (2/3 of Average): 1.33\\\\nWinning Number: 2.\\\\n\\\\nYou chose:\\\"\\n },\\n {\\n \\\"role\\\": \\\"assistant\\\",\\n \\\"content\\\": \\\"{\\\\\\\"chosen_number\\\\\\\": \\\\\\\"2\\\\\\\"}\\\"\\n },\\n {\\n \\\"role\\\": \\\"user\\\",\\n \\\"content\\\": \\\"Congratulation you won.\\\"\\n },\\n {\\n \\\"role\\\": \\\"user\\\",\\n \\\"content\\\": \\\"Game Results for Round 18:\\\\n\\\\nAverage Number Chosen: 2\\\\nTarget Number (2/3 of Average): 1.33\\\\nWinning Number: 2.\\\\n\\\\nYou chose:\\\"\\n },\\n {\\n \\\"role\\\": \\\"assistant\\\",\\n \\\"content\\\": \\\"{\\\\\\\"chosen_number\\\\\\\": \\\\\\\"2\\\\\\\"}\\\"\\n },\\n {\\n \\\"role\\\": \\\"user\\\",\\n \\\"content\\\": \\\"Congratulation you won.\\\"\\n },\\n {\\n \\\"role\\\": \\\"user\\\",\\n \\\"content\\\": \\\"Game Results for Round 19:\\\\n\\\\nAverage Number Chosen: 2\\\\nTarget Number (2/3 of Average): 1.33\\\\nWinning Number: 2.\\\\n\\\\nYou chose:\\\"\\n },\\n {\\n \\\"role\\\": \\\"assistant\\\",\\n \\\"content\\\": \\\"{\\\\\\\"chosen_number\\\\\\\": \\\\\\\"2\\\\\\\"}\\\"\\n },\\n {\\n \\\"role\\\": \\\"user\\\",\\n \\\"content\\\": \\\"Congratulation you won.\\\"\\n },\\n {\\n \\\"role\\\": \\\"user\\\",\\n \\\"content\\\": \\\"Game Results for Round 20:\\\\n\\\\nAverage Number Chosen: 2\\\\nTarget Number (2/3 of Average): 1.33\\\\nWinning Number: 2.\\\\n\\\\nYou chose:\\\"\\n },\\n {\\n \\\"role\\\": \\\"assistant\\\",\\n \\\"content\\\": \\\"{\\\\\\\"chosen_number\\\\\\\": \\\\\\\"2\\\\\\\"}\\\"\\n },\\n {\\n \\\"role\\\": \\\"user\\\",\\n \\\"content\\\": \\\"Congratulation you won.\\\"\\n }\\n ],\\n \\\"records\\\": [\\n 66,\\n 40,\\n 25,\\n 16,\\n 10,\\n 8,\\n 6,\\n 5,\\n 4,\\n 3,\\n 2,\\n 2,\\n 2,\\n 2,\\n 2,\\n 2,\\n 2,\\n 2,\\n 2,\\n 2\\n ],\\n \\\"utility\\\": []\\n },\\n {\\n \\\"model\\\": \\\"Qwen/Qwen2-72B-Instruct\\\",\\n \\\"id\\\": \\\"player_1\\\",\\n \\\"prompt\\\": [\\n {\\n \\\"role\\\": \\\"system\\\",\\n \\\"content\\\": \\\"\\\\n\\\\nYou are participating in a game played by 10 players over 20 rounds.\\\\n\\\\nGame Rules:\\\\n\\\\n1. Each player selects an integer number between 0 and 100, inclusive.\\\\n2. After all selections are made, the average of all chosen numbers is calculated.\\\\n3. The target number is 2/3 of this average.\\\\n4. The winner is the player(s) who selected a number closest to the target number.\\\"\\n },\\n {\\n \\\"role\\\": \\\"user\\\",\\n \\\"content\\\": \\\"Game Results for Round 1:\\\\n\\\\nAverage Number Chosen: 48\\\\nTarget Number (2/3 of Average): 32.00\\\\nWinning Number: 33.\\\\n\\\\nYou chose:\\\"\\n },\\n {\\n \\\"role\\\": \\\"assistant\\\",\\n \\\"content\\\": \\\"{\\\\\\\"chosen_number\\\\\\\": \\\\\\\"50\\\\\\\"}\\\"\\n },\\n {\\n \\\"role\\\": \\\"user\\\",\\n \\\"content\\\": \\\"Unfortunately you lost.\\\"\\n },\\n {\\n \\\"role\\\": \\\"user\\\",\\n \\\"content\\\": \\\"Game Results for Round 2:\\\\n\\\\nAverage Number Chosen: 31.1\\\\nTarget Number (2/3 of Average): 20.73\\\\nWinning Number: 21.\\\\n\\\\nYou chose:\\\"\\n },\\n {\\n \\\"role\\\": \\\"assistant\\\",\\n \\\"content\\\": \\\"{\\\\\\\"chosen_number\\\\\\\": \\\\\\\"33\\\\\\\"}\\\"\\n },\\n {\\n \\\"role\\\": \\\"user\\\",\\n \\\"content\\\": \\\"Unfortunately you lost.\\\"\\n },\\n {\\n \\\"role\\\": \\\"user\\\",\\n \\\"content\\\": \\\"Game Results for Round 3:\\\\n\\\\nAverage Number Chosen: 21\\\\nTarget Number (2/3 of Average): 14.00\\\\nWinning Number: 15.\\\\n\\\\nYou chose:\\\"\\n },\\n {\\n \\\"role\\\": \\\"assistant\\\",\\n \\\"content\\\": \\\"{\\\\\\\"chosen_number\\\\\\\": \\\\\\\"20\\\\\\\"}\\\"\\n },\\n {\\n \\\"role\\\": \\\"user\\\",\\n \\\"content\\\": \\\"Unfortunately you lost.\\\"\\n },\\n {\\n \\\"role\\\": \\\"user\\\",\\n \\\"content\\\": \\\"Game Results for Round 4:\\\\n\\\\nAverage Number Chosen: 15.5\\\\nTarget Number (2/3 of Average): 10.33\\\\nWinning Number: 12.\\\\n\\\\nYou chose:\\\"\\n },\\n {\\n \\\"role\\\": \\\"assistant\\\",\\n \\\"content\\\": \\\"{\\\\\\\"chosen_number\\\\\\\": \\\\\\\"13\\\\\\\"}\\\"\\n },\\n {\\n \\\"role\\\": \\\"user\\\",\\n \\\"content\\\": \\\"Unfortunately you lost.\\\"\\n },\\n {\\n \\\"role\\\": \\\"user\\\",\\n \\\"content\\\": \\\"Game Results for Round 5:\\\\n\\\\nAverage Number Chosen: 11.6\\\\nTarget Number (2/3 of Average): 7.73\\\\nWinning Number: 9.\\\\n\\\\nYou chose:\\\"\\n },\\n {\\n \\\"role\\\": \\\"assistant\\\",\\n \\\"content\\\": \\\"{\\\\\\\"chosen_number\\\\\\\": \\\\\\\"9\\\\\\\"}\\\"\\n },\\n {\\n \\\"role\\\": \\\"user\\\",\\n \\\"content\\\": \\\"Congratulation you won.\\\"\\n },\\n {\\n \\\"role\\\": \\\"user\\\",\\n \\\"content\\\": \\\"Game Results for Round 6:\\\\n\\\\nAverage Number Chosen: 8.7\\\\nTarget Number (2/3 of Average): 5.80\\\\nWinning Number: 7.\\\\n\\\\nYou chose:\\\"\\n },\\n {\\n \\\"role\\\": \\\"assistant\\\",\\n \\\"content\\\": \\\"{\\\\\\\"chosen_number\\\\\\\": \\\\\\\"7\\\\\\\"}\\\"\\n },\\n {\\n \\\"role\\\": \\\"user\\\",\\n \\\"content\\\": \\\"Congratulation you won.\\\"\\n },\\n {\\n \\\"role\\\": \\\"user\\\",\\n \\\"content\\\": \\\"Game Results for Round 7:\\\\n\\\\nAverage Number Chosen: 6.8\\\\nTarget Number (2/3 of Average): 4.53\\\\nWinning Number: 6.\\\\n\\\\nYou chose:\\\"\\n },\\n {\\n \\\"role\\\": \\\"assistant\\\",\\n \\\"content\\\": \\\"{\\\\\\\"chosen_number\\\\\\\": \\\\\\\"6\\\\\\\"}\\\"\\n },\\n {\\n \\\"role\\\": \\\"user\\\",\\n \\\"content\\\": \\\"Congratulation you won.\\\"\\n },\\n {\\n \\\"role\\\": \\\"user\\\",\\n \\\"content\\\": \\\"Game Results for Round 8:\\\\n\\\\nAverage Number Chosen: 5.5\\\\nTarget Number (2/3 of Average): 3.67\\\\nWinning Number: 4.\\\\n\\\\nYou chose:\\\"\\n },\\n {\\n \\\"role\\\": \\\"assistant\\\",\\n \\\"content\\\": \\\"{\\\\\\\"chosen_number\\\\\\\": \\\\\\\"5\\\\\\\"}\\\"\\n },\\n {\\n \\\"role\\\": \\\"user\\\",\\n \\\"content\\\": \\\"Unfortunately you lost.\\\"\\n },\\n {\\n \\\"role\\\": \\\"user\\\",\\n \\\"content\\\": \\\"Game Results for Round 9:\\\\n\\\\nAverage Number Chosen: 4.2\\\\nTarget Number (2/3 of Average): 2.80\\\\nWinning Number: 3.\\\\n\\\\nYou chose:\\\"\\n },\\n {\\n \\\"role\\\": \\\"assistant\\\",\\n \\\"content\\\": \\\"{\\\\\\\"chosen_number\\\\\\\": \\\\\\\"4\\\\\\\"}\\\"\\n },\\n {\\n \\\"role\\\": \\\"user\\\",\\n \\\"content\\\": \\\"Unfortunately you lost.\\\"\\n },\\n {\\n \\\"role\\\": \\\"user\\\",\\n \\\"content\\\": \\\"Game Results for Round 10:\\\\n\\\\nAverage Number Chosen: 3.2\\\\nTarget Number (2/3 of Average): 2.13\\\\nWinning Number: 2.\\\\n\\\\nYou chose:\\\"\\n },\\n {\\n \\\"role\\\": \\\"assistant\\\",\\n \\\"content\\\": \\\"{\\\\\\\"chosen_number\\\\\\\": \\\\\\\"3\\\\\\\"}\\\"\\n },\\n {\\n \\\"role\\\": \\\"user\\\",\\n \\\"content\\\": \\\"Unfortunately you lost.\\\"\\n },\\n {\\n \\\"role\\\": \\\"user\\\",\\n \\\"content\\\": \\\"Game Results for Round 11:\\\\n\\\\nAverage Number Chosen: 2.3\\\\nTarget Number (2/3 of Average): 1.53\\\\nWinning Number: 2.\\\\n\\\\nYou chose:\\\"\\n },\\n {\\n \\\"role\\\": \\\"assistant\\\",\\n \\\"content\\\": \\\"{\\\\\\\"chosen_number\\\\\\\": \\\\\\\"2\\\\\\\"}\\\"\\n },\\n {\\n \\\"role\\\": \\\"user\\\",\\n \\\"content\\\": \\\"Congratulation you won.\\\"\\n },\\n {\\n \\\"role\\\": \\\"user\\\",\\n \\\"content\\\": \\\"Game Results for Round 12:\\\\n\\\\nAverage Number Chosen: 2.1\\\\nTarget Number (2/3 of Average): 1.40\\\\nWinning Number: 2.\\\\n\\\\nYou chose:\\\"\\n },\\n {\\n \\\"role\\\": \\\"assistant\\\",\\n \\\"content\\\": \\\"{\\\\\\\"chosen_number\\\\\\\": \\\\\\\"2\\\\\\\"}\\\"\\n },\\n {\\n \\\"role\\\": \\\"user\\\",\\n \\\"content\\\": \\\"Congratulation you won.\\\"\\n },\\n {\\n \\\"role\\\": \\\"user\\\",\\n \\\"content\\\": \\\"Game Results for Round 13:\\\\n\\\\nAverage Number Chosen: 2\\\\nTarget Number (2/3 of Average): 1.33\\\\nWinning Number: 2.\\\\n\\\\nYou chose:\\\"\\n },\\n {\\n \\\"role\\\": \\\"assistant\\\",\\n \\\"content\\\": \\\"{\\\\\\\"chosen_number\\\\\\\": \\\\\\\"2\\\\\\\"}\\\"\\n },\\n {\\n \\\"role\\\": \\\"user\\\",\\n \\\"content\\\": \\\"Congratulation you won.\\\"\\n },\\n {\\n \\\"role\\\": \\\"user\\\",\\n \\\"content\\\": \\\"Game Results for Round 14:\\\\n\\\\nAverage Number Chosen: 2\\\\nTarget Number (2/3 of Average): 1.33\\\\nWinning Number: 2.\\\\n\\\\nYou chose:\\\"\\n },\\n {\\n \\\"role\\\": \\\"assistant\\\",\\n \\\"content\\\": \\\"{\\\\\\\"chosen_number\\\\\\\": \\\\\\\"2\\\\\\\"}\\\"\\n },\\n {\\n \\\"role\\\": \\\"user\\\",\\n \\\"content\\\": \\\"Congratulation you won.\\\"\\n },\\n {\\n \\\"role\\\": \\\"user\\\",\\n \\\"content\\\": \\\"Game Results for Round 15:\\\\n\\\\nAverage Number Chosen: 2\\\\nTarget Number (2/3 of Average): 1.33\\\\nWinning Number: 2.\\\\n\\\\nYou chose:\\\"\\n },\\n {\\n \\\"role\\\": \\\"assistant\\\",\\n \\\"content\\\": \\\"{\\\\\\\"chosen_number\\\\\\\": \\\\\\\"2\\\\\\\"}\\\"\\n },\\n {\\n \\\"role\\\": \\\"user\\\",\\n \\\"content\\\": \\\"Congratulation you won.\\\"\\n },\\n {\\n \\\"role\\\": \\\"user\\\",\\n \\\"content\\\": \\\"Game Results for Round 16:\\\\n\\\\nAverage Number Chosen: 2\\\\nTarget Number (2/3 of Average): 1.33\\\\nWinning Number: 2.\\\\n\\\\nYou chose:\\\"\\n },\\n {\\n \\\"role\\\": \\\"assistant\\\",\\n \\\"content\\\": \\\"{\\\\\\\"chosen_number\\\\\\\": \\\\\\\"2\\\\\\\"}\\\"\\n },\\n {\\n \\\"role\\\": \\\"user\\\",\\n \\\"content\\\": \\\"Congratulation you won.\\\"\\n },\\n {\\n \\\"role\\\": \\\"user\\\",\\n \\\"content\\\": \\\"Game Results for Round 17:\\\\n\\\\nAverage Number Chosen: 2\\\\nTarget Number (2/3 of Average): 1.33\\\\nWinning Number: 2.\\\\n\\\\nYou chose:\\\"\\n },\\n {\\n \\\"role\\\": \\\"assistant\\\",\\n \\\"content\\\": \\\"{\\\\\\\"chosen_number\\\\\\\": \\\\\\\"2\\\\\\\"}\\\"\\n },\\n {\\n \\\"role\\\": \\\"user\\\",\\n \\\"content\\\": \\\"Congratulation you won.\\\"\\n },\\n {\\n \\\"role\\\": \\\"user\\\",\\n \\\"content\\\": \\\"Game Results for Round 18:\\\\n\\\\nAverage Number Chosen: 2\\\\nTarget Number (2/3 of Average): 1.33\\\\nWinning Number: 2.\\\\n\\\\nYou chose:\\\"\\n },\\n {\\n \\\"role\\\": \\\"assistant\\\",\\n \\\"content\\\": \\\"{\\\\\\\"chosen_number\\\\\\\": \\\\\\\"2\\\\\\\"}\\\"\\n },\\n {\\n \\\"role\\\": \\\"user\\\",\\n \\\"content\\\": \\\"Congratulation you won.\\\"\\n },\\n {\\n \\\"role\\\": \\\"user\\\",\\n \\\"content\\\": \\\"Game Results for Round 19:\\\\n\\\\nAverage Number Chosen: 2\\\\nTarget Number (2/3 of Average): 1.33\\\\nWinning Number: 2.\\\\n\\\\nYou chose:\\\"\\n },\\n {\\n \\\"role\\\": \\\"assistant\\\",\\n \\\"content\\\": \\\"{\\\\\\\"chosen_number\\\\\\\": \\\\\\\"2\\\\\\\"}\\\"\\n },\\n {\\n \\\"role\\\": \\\"user\\\",\\n \\\"content\\\": \\\"Congratulation you won.\\\"\\n },\\n {\\n \\\"role\\\": \\\"user\\\",\\n \\\"content\\\": \\\"Game Results for Round 20:\\\\n\\\\nAverage Number Chosen: 2\\\\nTarget Number (2/3 of Average): 1.33\\\\nWinning Number: 2.\\\\n\\\\nYou chose:\\\"\\n },\\n {\\n \\\"role\\\": \\\"assistant\\\",\\n \\\"content\\\": \\\"{\\\\\\\"chosen_number\\\\\\\": \\\\\\\"2\\\\\\\"}\\\"\\n },\\n {\\n \\\"role\\\": \\\"user\\\",\\n \\\"content\\\": \\\"Congratulation you won.\\\"\\n }\\n ],\\n \\\"records\\\": [\\n 50,\\n 33,\\n 20,\\n 13,\\n 9,\\n 7,\\n 6,\\n 5,\\n 4,\\n 3,\\n 2,\\n 2,\\n 2,\\n 2,\\n 2,\\n 2,\\n 2,\\n 2,\\n 2,\\n 2\\n ],\\n \\\"utility\\\": []\\n },\\n {\\n \\\"model\\\": \\\"Qwen/Qwen2-72B-Instruct\\\",\\n \\\"id\\\": \\\"player_2\\\",\\n \\\"prompt\\\": [\\n {\\n \\\"role\\\": \\\"system\\\",\\n \\\"content\\\": \\\"\\\\n\\\\nYou are participating in a game played by 10 players over 20 rounds.\\\\n\\\\nGame Rules:\\\\n\\\\n1. Each player selects an integer number between 0 and 100, inclusive.\\\\n2. After all selections are made, the average of all chosen numbers is calculated.\\\\n3. The target number is 2/3 of this average.\\\\n4. The winner is the player(s) who selected a number closest to the target number.\\\"\\n },\\n {\\n \\\"role\\\": \\\"user\\\",\\n \\\"content\\\": \\\"Game Results for Round 1:\\\\n\\\\nAverage Number Chosen: 48\\\\nTarget Number (2/3 of Average): 32.00\\\\nWinning Number: 33.\\\\n\\\\nYou chose:\\\"\\n },\\n {\\n \\\"role\\\": \\\"assistant\\\",\\n \\\"content\\\": \\\"{\\\\\\\"chosen_number\\\\\\\": \\\\\\\"33\\\\\\\"}\\\"\\n },\\n {\\n \\\"role\\\": \\\"user\\\",\\n \\\"content\\\": \\\"Congratulation you won.\\\"\\n },\\n {\\n \\\"role\\\": \\\"user\\\",\\n \\\"content\\\": \\\"Game Results for Round 2:\\\\n\\\\nAverage Number Chosen: 31.1\\\\nTarget Number (2/3 of Average): 20.73\\\\nWinning Number: 21.\\\\n\\\\nYou chose:\\\"\\n },\\n {\\n \\\"role\\\": \\\"assistant\\\",\\n \\\"content\\\": \\\"{\\\\\\\"chosen_number\\\\\\\": \\\\\\\"22\\\\\\\"}\\\"\\n },\\n {\\n \\\"role\\\": \\\"user\\\",\\n \\\"content\\\": \\\"Unfortunately you lost.\\\"\\n },\\n {\\n \\\"role\\\": \\\"user\\\",\\n \\\"content\\\": \\\"Game Results for Round 3:\\\\n\\\\nAverage Number Chosen: 21\\\\nTarget Number (2/3 of Average): 14.00\\\\nWinning Number: 15.\\\\n\\\\nYou chose:\\\"\\n },\\n {\\n \\\"role\\\": \\\"assistant\\\",\\n \\\"content\\\": \\\"{\\\\\\\"chosen_number\\\\\\\": \\\\\\\"16\\\\\\\"}\\\"\\n },\\n {\\n \\\"role\\\": \\\"user\\\",\\n \\\"content\\\": \\\"Unfortunately you lost.\\\"\\n },\\n {\\n \\\"role\\\": \\\"user\\\",\\n \\\"content\\\": \\\"Game Results for Round 4:\\\\n\\\\nAverage Number Chosen: 15.5\\\\nTarget Number (2/3 of Average): 10.33\\\\nWinning Number: 12.\\\\n\\\\nYou chose:\\\"\\n },\\n {\\n \\\"role\\\": \\\"assistant\\\",\\n \\\"content\\\": \\\"{\\\\\\\"chosen_number\\\\\\\": \\\\\\\"13\\\\\\\"}\\\"\\n },\\n {\\n \\\"role\\\": \\\"user\\\",\\n \\\"content\\\": \\\"Unfortunately you lost.\\\"\\n },\\n {\\n \\\"role\\\": \\\"user\\\",\\n \\\"content\\\": \\\"Game Results for Round 5:\\\\n\\\\nAverage Number Chosen: 11.6\\\\nTarget Number (2/3 of Average): 7.73\\\\nWinning Number: 9.\\\\n\\\\nYou chose:\\\"\\n },\\n {\\n \\\"role\\\": \\\"assistant\\\",\\n \\\"content\\\": \\\"{\\\\\\\"chosen_number\\\\\\\": \\\\\\\"9\\\\\\\"}\\\"\\n },\\n {\\n \\\"role\\\": \\\"user\\\",\\n \\\"content\\\": \\\"Congratulation you won.\\\"\\n },\\n {\\n \\\"role\\\": \\\"user\\\",\\n \\\"content\\\": \\\"Game Results for Round 6:\\\\n\\\\nAverage Number Chosen: 8.7\\\\nTarget Number (2/3 of Average): 5.80\\\\nWinning Number: 7.\\\\n\\\\nYou chose:\\\"\\n },\\n {\\n \\\"role\\\": \\\"assistant\\\",\\n \\\"content\\\": \\\"{\\\\\\\"chosen_number\\\\\\\": \\\\\\\"7\\\\\\\"}\\\"\\n },\\n {\\n \\\"role\\\": \\\"user\\\",\\n \\\"content\\\": \\\"Congratulation you won.\\\"\\n },\\n {\\n \\\"role\\\": \\\"user\\\",\\n \\\"content\\\": \\\"Game Results for Round 7:\\\\n\\\\nAverage Number Chosen: 6.8\\\\nTarget Number (2/3 of Average): 4.53\\\\nWinning Number: 6.\\\\n\\\\nYou chose:\\\"\\n },\\n {\\n \\\"role\\\": \\\"assistant\\\",\\n \\\"content\\\": \\\"{\\\\\\\"chosen_number\\\\\\\": \\\\\\\"6\\\\\\\"}\\\"\\n },\\n {\\n \\\"role\\\": \\\"user\\\",\\n \\\"content\\\": \\\"Congratulation you won.\\\"\\n },\\n {\\n \\\"role\\\": \\\"user\\\",\\n \\\"content\\\": \\\"Game Results for Round 8:\\\\n\\\\nAverage Number Chosen: 5.5\\\\nTarget Number (2/3 of Average): 3.67\\\\nWinning Number: 4.\\\\n\\\\nYou chose:\\\"\\n },\\n {\\n \\\"role\\\": \\\"assistant\\\",\\n \\\"content\\\": \\\"{\\\\\\\"chosen_number\\\\\\\": \\\\\\\"5\\\\\\\"}\\\"\\n },\\n {\\n \\\"role\\\": \\\"user\\\",\\n \\\"content\\\": \\\"Unfortunately you lost.\\\"\\n },\\n {\\n \\\"role\\\": \\\"user\\\",\\n \\\"content\\\": \\\"Game Results for Round 9:\\\\n\\\\nAverage Number Chosen: 4.2\\\\nTarget Number (2/3 of Average): 2.80\\\\nWinning Number: 3.\\\\n\\\\nYou chose:\\\"\\n },\\n {\\n \\\"role\\\": \\\"assistant\\\",\\n \\\"content\\\": \\\"{\\\\\\\"chosen_number\\\\\\\": \\\\\\\"4\\\\\\\"}\\\"\\n },\\n {\\n \\\"role\\\": \\\"user\\\",\\n \\\"content\\\": \\\"Unfortunately you lost.\\\"\\n },\\n {\\n \\\"role\\\": \\\"user\\\",\\n \\\"content\\\": \\\"Game Results for Round 10:\\\\n\\\\nAverage Number Chosen: 3.2\\\\nTarget Number (2/3 of Average): 2.13\\\\nWinning Number: 2.\\\\n\\\\nYou chose:\\\"\\n },\\n {\\n \\\"role\\\": \\\"assistant\\\",\\n \\\"content\\\": \\\"{\\\\\\\"chosen_number\\\\\\\": \\\\\\\"3\\\\\\\"}\\\"\\n },\\n {\\n \\\"role\\\": \\\"user\\\",\\n \\\"content\\\": \\\"Unfortunately you lost.\\\"\\n },\\n {\\n \\\"role\\\": \\\"user\\\",\\n \\\"content\\\": \\\"Game Results for Round 11:\\\\n\\\\nAverage Number Chosen: 2.3\\\\nTarget Number (2/3 of Average): 1.53\\\\nWinning Number: 2.\\\\n\\\\nYou chose:\\\"\\n },\\n {\\n \\\"role\\\": \\\"assistant\\\",\\n \\\"content\\\": \\\"{\\\\\\\"chosen_number\\\\\\\": \\\\\\\"2\\\\\\\"}\\\"\\n },\\n {\\n \\\"role\\\": \\\"user\\\",\\n \\\"content\\\": \\\"Congratulation you won.\\\"\\n },\\n {\\n \\\"role\\\": \\\"user\\\",\\n \\\"content\\\": \\\"Game Results for Round 12:\\\\n\\\\nAverage Number Chosen: 2.1\\\\nTarget Number (2/3 of Average): 1.40\\\\nWinning Number: 2.\\\\n\\\\nYou chose:\\\"\\n },\\n {\\n \\\"role\\\": \\\"assistant\\\",\\n \\\"content\\\": \\\"{\\\\\\\"chosen_number\\\\\\\": \\\\\\\"2\\\\\\\"}\\\"\\n },\\n {\\n \\\"role\\\": \\\"user\\\",\\n \\\"content\\\": \\\"Congratulation you won.\\\"\\n },\\n {\\n \\\"role\\\": \\\"user\\\",\\n \\\"content\\\": \\\"Game Results for Round 13:\\\\n\\\\nAverage Number Chosen: 2\\\\nTarget Number (2/3 of Average): 1.33\\\\nWinning Number: 2.\\\\n\\\\nYou chose:\\\"\\n },\\n {\\n \\\"role\\\": \\\"assistant\\\",\\n \\\"content\\\": \\\"{\\\\\\\"chosen_number\\\\\\\": \\\\\\\"2\\\\\\\"}\\\"\\n },\\n {\\n \\\"role\\\": \\\"user\\\",\\n \\\"content\\\": \\\"Congratulation you won.\\\"\\n },\\n {\\n \\\"role\\\": \\\"user\\\",\\n \\\"content\\\": \\\"Game Results for Round 14:\\\\n\\\\nAverage Number Chosen: 2\\\\nTarget Number (2/3 of Average): 1.33\\\\nWinning Number: 2.\\\\n\\\\nYou chose:\\\"\\n },\\n {\\n \\\"role\\\": \\\"assistant\\\",\\n \\\"content\\\": \\\"{\\\\\\\"chosen_number\\\\\\\": \\\\\\\"2\\\\\\\"}\\\"\\n },\\n {\\n \\\"role\\\": \\\"user\\\",\\n \\\"content\\\": \\\"Congratulation you won.\\\"\\n },\\n {\\n \\\"role\\\": \\\"user\\\",\\n \\\"content\\\": \\\"Game Results for Round 15:\\\\n\\\\nAverage Number Chosen: 2\\\\nTarget Number (2/3 of Average): 1.33\\\\nWinning Number: 2.\\\\n\\\\nYou chose:\\\"\\n },\\n {\\n \\\"role\\\": \\\"assistant\\\",\\n \\\"content\\\": \\\"{\\\\\\\"chosen_number\\\\\\\": \\\\\\\"2\\\\\\\"}\\\"\\n },\\n {\\n \\\"role\\\": \\\"user\\\",\\n \\\"content\\\": \\\"Congratulation you won.\\\"\\n },\\n {\\n \\\"role\\\": \\\"user\\\",\\n \\\"content\\\": \\\"Game Results for Round 16:\\\\n\\\\nAverage Number Chosen: 2\\\\nTarget Number (2/3 of Average): 1.33\\\\nWinning Number: 2.\\\\n\\\\nYou chose:\\\"\\n },\\n {\\n \\\"role\\\": \\\"assistant\\\",\\n \\\"content\\\": \\\"{\\\\\\\"chosen_number\\\\\\\": \\\\\\\"2\\\\\\\"}\\\"\\n },\\n {\\n \\\"role\\\": \\\"user\\\",\\n \\\"content\\\": \\\"Congratulation you won.\\\"\\n },\\n {\\n \\\"role\\\": \\\"user\\\",\\n \\\"content\\\": \\\"Game Results for Round 17:\\\\n\\\\nAverage Number Chosen: 2\\\\nTarget Number (2/3 of Average): 1.33\\\\nWinning Number: 2.\\\\n\\\\nYou chose:\\\"\\n },\\n {\\n \\\"role\\\": \\\"assistant\\\",\\n \\\"content\\\": \\\"{\\\\\\\"chosen_number\\\\\\\": \\\\\\\"2\\\\\\\"}\\\"\\n },\\n {\\n \\\"role\\\": \\\"user\\\",\\n \\\"content\\\": \\\"Congratulation you won.\\\"\\n },\\n {\\n \\\"role\\\": \\\"user\\\",\\n \\\"content\\\": \\\"Game Results for Round 18:\\\\n\\\\nAverage Number Chosen: 2\\\\nTarget Number (2/3 of Average): 1.33\\\\nWinning Number: 2.\\\\n\\\\nYou chose:\\\"\\n },\\n {\\n \\\"role\\\": \\\"assistant\\\",\\n \\\"content\\\": \\\"{\\\\\\\"chosen_number\\\\\\\": \\\\\\\"2\\\\\\\"}\\\"\\n },\\n {\\n \\\"role\\\": \\\"user\\\",\\n \\\"content\\\": \\\"Congratulation you won.\\\"\\n },\\n {\\n \\\"role\\\": \\\"user\\\",\\n \\\"content\\\": \\\"Game Results for Round 19:\\\\n\\\\nAverage Number Chosen: 2\\\\nTarget Number (2/3 of Average): 1.33\\\\nWinning Number: 2.\\\\n\\\\nYou chose:\\\"\\n },\\n {\\n \\\"role\\\": \\\"assistant\\\",\\n \\\"content\\\": \\\"{\\\\\\\"chosen_number\\\\\\\": \\\\\\\"2\\\\\\\"}\\\"\\n },\\n {\\n \\\"role\\\": \\\"user\\\",\\n \\\"content\\\": \\\"Congratulation you won.\\\"\\n },\\n {\\n \\\"role\\\": \\\"user\\\",\\n \\\"content\\\": \\\"Game Results for Round 20:\\\\n\\\\nAverage Number Chosen: 2\\\\nTarget Number (2/3 of Average): 1.33\\\\nWinning Number: 2.\\\\n\\\\nYou chose:\\\"\\n },\\n {\\n \\\"role\\\": \\\"assistant\\\",\\n \\\"content\\\": \\\"{\\\\\\\"chosen_number\\\\\\\": \\\\\\\"2\\\\\\\"}\\\"\\n },\\n {\\n \\\"role\\\": \\\"user\\\",\\n \\\"content\\\": \\\"Congratulation you won.\\\"\\n }\\n ],\\n \\\"records\\\": [\\n 33,\\n 22,\\n 16,\\n 13,\\n 9,\\n 7,\\n 6,\\n 5,\\n 4,\\n 3,\\n 2,\\n 2,\\n 2,\\n 2,\\n 2,\\n 2,\\n 2,\\n 2,\\n 2,\\n 2\\n ],\\n \\\"utility\\\": []\\n },\\n {\\n \\\"model\\\": \\\"Qwen/Qwen2-72B-Instruct\\\",\\n \\\"id\\\": \\\"player_3\\\",\\n \\\"prompt\\\": [\\n {\\n \\\"role\\\": \\\"system\\\",\\n \\\"content\\\": \\\"\\\\n\\\\nYou are participating in a game played by 10 players over 20 rounds.\\\\n\\\\nGame Rules:\\\\n\\\\n1. Each player selects an integer number between 0 and 100, inclusive.\\\\n2. After all selections are made, the average of all chosen numbers is calculated.\\\\n3. The target number is 2/3 of this average.\\\\n4. The winner is the player(s) who selected a number closest to the target number.\\\"\\n },\\n {\\n \\\"role\\\": \\\"user\\\",\\n \\\"content\\\": \\\"Game Results for Round 1:\\\\n\\\\nAverage Number Chosen: 48\\\\nTarget Number (2/3 of Average): 32.00\\\\nWinning Number: 33.\\\\n\\\\nYou chose:\\\"\\n },\\n {\\n \\\"role\\\": \\\"assistant\\\",\\n \\\"content\\\": \\\"{\\\\\\\"chosen_number\\\\\\\": \\\\\\\"50\\\\\\\"}\\\"\\n },\\n {\\n \\\"role\\\": \\\"user\\\",\\n \\\"content\\\": \\\"Unfortunately you lost.\\\"\\n },\\n {\\n \\\"role\\\": \\\"user\\\",\\n \\\"content\\\": \\\"Game Results for Round 2:\\\\n\\\\nAverage Number Chosen: 31.1\\\\nTarget Number (2/3 of Average): 20.73\\\\nWinning Number: 21.\\\\n\\\\nYou chose:\\\"\\n },\\n {\\n \\\"role\\\": \\\"assistant\\\",\\n \\\"content\\\": \\\"{\\\\\\\"chosen_number\\\\\\\": \\\\\\\"33\\\\\\\"}\\\"\\n },\\n {\\n \\\"role\\\": \\\"user\\\",\\n \\\"content\\\": \\\"Unfortunately you lost.\\\"\\n },\\n {\\n \\\"role\\\": \\\"user\\\",\\n \\\"content\\\": \\\"Game Results for Round 3:\\\\n\\\\nAverage Number Chosen: 21\\\\nTarget Number (2/3 of Average): 14.00\\\\nWinning Number: 15.\\\\n\\\\nYou chose:\\\"\\n },\\n {\\n \\\"role\\\": \\\"assistant\\\",\\n \\\"content\\\": \\\"{\\\\\\\"chosen_number\\\\\\\": \\\\\\\"22\\\\\\\"}\\\"\\n },\\n {\\n \\\"role\\\": \\\"user\\\",\\n \\\"content\\\": \\\"Unfortunately you lost.\\\"\\n },\\n {\\n \\\"role\\\": \\\"user\\\",\\n \\\"content\\\": \\\"Game Results for Round 4:\\\\n\\\\nAverage Number Chosen: 15.5\\\\nTarget Number (2/3 of Average): 10.33\\\\nWinning Number: 12.\\\\n\\\\nYou chose:\\\"\\n },\\n {\\n \\\"role\\\": \\\"assistant\\\",\\n \\\"content\\\": \\\"{\\\\\\\"chosen_number\\\\\\\": \\\\\\\"18\\\\\\\"}\\\"\\n },\\n {\\n \\\"role\\\": \\\"user\\\",\\n \\\"content\\\": \\\"Unfortunately you lost.\\\"\\n },\\n {\\n \\\"role\\\": \\\"user\\\",\\n \\\"content\\\": \\\"Game Results for Round 5:\\\\n\\\\nAverage Number Chosen: 11.6\\\\nTarget Number (2/3 of Average): 7.73\\\\nWinning Number: 9.\\\\n\\\\nYou chose:\\\"\\n },\\n {\\n \\\"role\\\": \\\"assistant\\\",\\n \\\"content\\\": \\\"{\\\\\\\"chosen_number\\\\\\\": \\\\\\\"14\\\\\\\"}\\\"\\n },\\n {\\n \\\"role\\\": \\\"user\\\",\\n \\\"content\\\": \\\"Unfortunately you lost.\\\"\\n },\\n {\\n \\\"role\\\": \\\"user\\\",\\n \\\"content\\\": \\\"Game Results for Round 6:\\\\n\\\\nAverage Number Chosen: 8.7\\\\nTarget Number (2/3 of Average): 5.80\\\\nWinning Number: 7.\\\\n\\\\nYou chose:\\\"\\n },\\n {\\n \\\"role\\\": \\\"assistant\\\",\\n \\\"content\\\": \\\"{\\\\\\\"chosen_number\\\\\\\": \\\\\\\"12\\\\\\\"}\\\"\\n },\\n {\\n \\\"role\\\": \\\"user\\\",\\n \\\"content\\\": \\\"Unfortunately you lost.\\\"\\n },\\n {\\n \\\"role\\\": \\\"user\\\",\\n \\\"content\\\": \\\"Game Results for Round 7:\\\\n\\\\nAverage Number Chosen: 6.8\\\\nTarget Number (2/3 of Average): 4.53\\\\nWinning Number: 6.\\\\n\\\\nYou chose:\\\"\\n },\\n {\\n \\\"role\\\": \\\"assistant\\\",\\n \\\"content\\\": \\\"{\\\\\\\"chosen_number\\\\\\\": \\\\\\\"9\\\\\\\"}\\\"\\n },\\n {\\n \\\"role\\\": \\\"user\\\",\\n \\\"content\\\": \\\"Unfortunately you lost.\\\"\\n },\\n {\\n \\\"role\\\": \\\"user\\\",\\n \\\"content\\\": \\\"Game Results for Round 8:\\\\n\\\\nAverage Number Chosen: 5.5\\\\nTarget Number (2/3 of Average): 3.67\\\\nWinning Number: 4.\\\\n\\\\nYou chose:\\\"\\n },\\n {\\n \\\"role\\\": \\\"assistant\\\",\\n \\\"content\\\": \\\"{\\\\\\\"chosen_number\\\\\\\": \\\\\\\"8\\\\\\\"}\\\"\\n },\\n {\\n \\\"role\\\": \\\"user\\\",\\n \\\"content\\\": \\\"Unfortunately you lost.\\\"\\n },\\n {\\n \\\"role\\\": \\\"user\\\",\\n \\\"content\\\": \\\"Game Results for Round 9:\\\\n\\\\nAverage Number Chosen: 4.2\\\\nTarget Number (2/3 of Average): 2.80\\\\nWinning Number: 3.\\\\n\\\\nYou chose:\\\"\\n },\\n {\\n \\\"role\\\": \\\"assistant\\\",\\n \\\"content\\\": \\\"{\\\\\\\"chosen_number\\\\\\\": \\\\\\\"6\\\\\\\"}\\\"\\n },\\n {\\n \\\"role\\\": \\\"user\\\",\\n \\\"content\\\": \\\"Unfortunately you lost.\\\"\\n },\\n {\\n \\\"role\\\": \\\"user\\\",\\n \\\"content\\\": \\\"Game Results for Round 10:\\\\n\\\\nAverage Number Chosen: 3.2\\\\nTarget Number (2/3 of Average): 2.13\\\\nWinning Number: 2.\\\\n\\\\nYou chose:\\\"\\n },\\n {\\n \\\"role\\\": \\\"assistant\\\",\\n \\\"content\\\": \\\"{\\\\\\\"chosen_number\\\\\\\": \\\\\\\"5\\\\\\\"}\\\"\\n },\\n {\\n \\\"role\\\": \\\"user\\\",\\n \\\"content\\\": \\\"Unfortunately you lost.\\\"\\n },\\n {\\n \\\"role\\\": \\\"user\\\",\\n \\\"content\\\": \\\"Game Results for Round 11:\\\\n\\\\nAverage Number Chosen: 2.3\\\\nTarget Number (2/3 of Average): 1.53\\\\nWinning Number: 2.\\\\n\\\\nYou chose:\\\"\\n },\\n {\\n \\\"role\\\": \\\"assistant\\\",\\n \\\"content\\\": \\\"{\\\\\\\"chosen_number\\\\\\\": \\\\\\\"4\\\\\\\"}\\\"\\n },\\n {\\n \\\"role\\\": \\\"user\\\",\\n \\\"content\\\": \\\"Unfortunately you lost.\\\"\\n },\\n {\\n \\\"role\\\": \\\"user\\\",\\n \\\"content\\\": \\\"Game Results for Round 12:\\\\n\\\\nAverage Number Chosen: 2.1\\\\nTarget Number (2/3 of Average): 1.40\\\\nWinning Number: 2.\\\\n\\\\nYou chose:\\\"\\n },\\n {\\n \\\"role\\\": \\\"assistant\\\",\\n \\\"content\\\": \\\"{\\\\\\\"chosen_number\\\\\\\": \\\\\\\"3\\\\\\\"}\\\"\\n },\\n {\\n \\\"role\\\": \\\"user\\\",\\n \\\"content\\\": \\\"Unfortunately you lost.\\\"\\n },\\n {\\n \\\"role\\\": \\\"user\\\",\\n \\\"content\\\": \\\"Game Results for Round 13:\\\\n\\\\nAverage Number Chosen: 2\\\\nTarget Number (2/3 of Average): 1.33\\\\nWinning Number: 2.\\\\n\\\\nYou chose:\\\"\\n },\\n {\\n \\\"role\\\": \\\"assistant\\\",\\n \\\"content\\\": \\\"{\\\\\\\"chosen_number\\\\\\\": \\\\\\\"2\\\\\\\"}\\\"\\n },\\n {\\n \\\"role\\\": \\\"user\\\",\\n \\\"content\\\": \\\"Congratulation you won.\\\"\\n },\\n {\\n \\\"role\\\": \\\"user\\\",\\n \\\"content\\\": \\\"Game Results for Round 14:\\\\n\\\\nAverage Number Chosen: 2\\\\nTarget Number (2/3 of Average): 1.33\\\\nWinning Number: 2.\\\\n\\\\nYou chose:\\\"\\n },\\n {\\n \\\"role\\\": \\\"assistant\\\",\\n \\\"content\\\": \\\"{\\\\\\\"chosen_number\\\\\\\": \\\\\\\"2\\\\\\\"}\\\"\\n },\\n {\\n \\\"role\\\": \\\"user\\\",\\n \\\"content\\\": \\\"Congratulation you won.\\\"\\n },\\n {\\n \\\"role\\\": \\\"user\\\",\\n \\\"content\\\": \\\"Game Results for Round 15:\\\\n\\\\nAverage Number Chosen: 2\\\\nTarget Number (2/3 of Average): 1.33\\\\nWinning Number: 2.\\\\n\\\\nYou chose:\\\"\\n },\\n {\\n \\\"role\\\": \\\"assistant\\\",\\n \\\"content\\\": \\\"{\\\\\\\"chosen_number\\\\\\\": \\\\\\\"2\\\\\\\"}\\\"\\n },\\n {\\n \\\"role\\\": \\\"user\\\",\\n \\\"content\\\": \\\"Congratulation you won.\\\"\\n },\\n {\\n \\\"role\\\": \\\"user\\\",\\n \\\"content\\\": \\\"Game Results for Round 16:\\\\n\\\\nAverage Number Chosen: 2\\\\nTarget Number (2/3 of Average): 1.33\\\\nWinning Number: 2.\\\\n\\\\nYou chose:\\\"\\n },\\n {\\n \\\"role\\\": \\\"assistant\\\",\\n \\\"content\\\": \\\"{\\\\\\\"chosen_number\\\\\\\": \\\\\\\"2\\\\\\\"}\\\"\\n },\\n {\\n \\\"role\\\": \\\"user\\\",\\n \\\"content\\\": \\\"Congratulation you won.\\\"\\n },\\n {\\n \\\"role\\\": \\\"user\\\",\\n \\\"content\\\": \\\"Game Results for Round 17:\\\\n\\\\nAverage Number Chosen: 2\\\\nTarget Number (2/3 of Average): 1.33\\\\nWinning Number: 2.\\\\n\\\\nYou chose:\\\"\\n },\\n {\\n \\\"role\\\": \\\"assistant\\\",\\n \\\"content\\\": \\\"{\\\\\\\"chosen_number\\\\\\\": \\\\\\\"2\\\\\\\"}\\\"\\n },\\n {\\n \\\"role\\\": \\\"user\\\",\\n \\\"content\\\": \\\"Congratulation you won.\\\"\\n },\\n {\\n \\\"role\\\": \\\"user\\\",\\n \\\"content\\\": \\\"Game Results for Round 18:\\\\n\\\\nAverage Number Chosen: 2\\\\nTarget Number (2/3 of Average): 1.33\\\\nWinning Number: 2.\\\\n\\\\nYou chose:\\\"\\n },\\n {\\n \\\"role\\\": \\\"assistant\\\",\\n \\\"content\\\": \\\"{\\\\\\\"chosen_number\\\\\\\": \\\\\\\"2\\\\\\\"}\\\"\\n },\\n {\\n \\\"role\\\": \\\"user\\\",\\n \\\"content\\\": \\\"Congratulation you won.\\\"\\n },\\n {\\n \\\"role\\\": \\\"user\\\",\\n \\\"content\\\": \\\"Game Results for Round 19:\\\\n\\\\nAverage Number Chosen: 2\\\\nTarget Number (2/3 of Average): 1.33\\\\nWinning Number: 2.\\\\n\\\\nYou chose:\\\"\\n },\\n {\\n \\\"role\\\": \\\"assistant\\\",\\n \\\"content\\\": \\\"{\\\\\\\"chosen_number\\\\\\\": \\\\\\\"2\\\\\\\"}\\\"\\n },\\n {\\n \\\"role\\\": \\\"user\\\",\\n \\\"content\\\": \\\"Congratulation you won.\\\"\\n },\\n {\\n \\\"role\\\": \\\"user\\\",\\n \\\"content\\\": \\\"Game Results for Round 20:\\\\n\\\\nAverage Number Chosen: 2\\\\nTarget Number (2/3 of Average): 1.33\\\\nWinning Number: 2.\\\\n\\\\nYou chose:\\\"\\n },\\n {\\n \\\"role\\\": \\\"assistant\\\",\\n \\\"content\\\": \\\"{\\\\\\\"chosen_number\\\\\\\": \\\\\\\"2\\\\\\\"}\\\"\\n },\\n {\\n \\\"role\\\": \\\"user\\\",\\n \\\"content\\\": \\\"Congratulation you won.\\\"\\n }\\n ],\\n \\\"records\\\": [\\n 50,\\n 33,\\n 22,\\n 18,\\n 14,\\n 12,\\n 9,\\n 8,\\n 6,\\n 5,\\n 4,\\n 3,\\n 2,\\n 2,\\n 2,\\n 2,\\n 2,\\n 2,\\n 2,\\n 2\\n ],\\n \\\"utility\\\": []\\n },\\n {\\n \\\"model\\\": \\\"Qwen/Qwen2-72B-Instruct\\\",\\n \\\"id\\\": \\\"player_4\\\",\\n \\\"prompt\\\": [\\n {\\n \\\"role\\\": \\\"system\\\",\\n \\\"content\\\": \\\"\\\\n\\\\nYou are participating in a game played by 10 players over 20 rounds.\\\\n\\\\nGame Rules:\\\\n\\\\n1. Each player selects an integer number between 0 and 100, inclusive.\\\\n2. After all selections are made, the average of all chosen numbers is calculated.\\\\n3. The target number is 2/3 of this average.\\\\n4. The winner is the player(s) who selected a number closest to the target number.\\\"\\n },\\n {\\n \\\"role\\\": \\\"user\\\",\\n \\\"content\\\": \\\"Game Results for Round 1:\\\\n\\\\nAverage Number Chosen: 48\\\\nTarget Number (2/3 of Average): 32.00\\\\nWinning Number: 33.\\\\n\\\\nYou chose:\\\"\\n },\\n {\\n \\\"role\\\": \\\"assistant\\\",\\n \\\"content\\\": \\\"{\\\\\\\"chosen_number\\\\\\\": \\\\\\\"66\\\\\\\"}\\\"\\n },\\n {\\n \\\"role\\\": \\\"user\\\",\\n \\\"content\\\": \\\"Unfortunately you lost.\\\"\\n },\\n {\\n \\\"role\\\": \\\"user\\\",\\n \\\"content\\\": \\\"Game Results for Round 2:\\\\n\\\\nAverage Number Chosen: 31.1\\\\nTarget Number (2/3 of Average): 20.73\\\\nWinning Number: 21.\\\\n\\\\nYou chose:\\\"\\n },\\n {\\n \\\"role\\\": \\\"assistant\\\",\\n \\\"content\\\": \\\"{\\\\\\\"chosen_number\\\\\\\": \\\\\\\"40\\\\\\\"}\\\"\\n },\\n {\\n \\\"role\\\": \\\"user\\\",\\n \\\"content\\\": \\\"Unfortunately you lost.\\\"\\n },\\n {\\n \\\"role\\\": \\\"user\\\",\\n \\\"content\\\": \\\"Game Results for Round 3:\\\\n\\\\nAverage Number Chosen: 21\\\\nTarget Number (2/3 of Average): 14.00\\\\nWinning Number: 15.\\\\n\\\\nYou chose:\\\"\\n },\\n {\\n \\\"role\\\": \\\"assistant\\\",\\n \\\"content\\\": \\\"{\\\\\\\"chosen_number\\\\\\\": \\\\\\\"25\\\\\\\"}\\\"\\n },\\n {\\n \\\"role\\\": \\\"user\\\",\\n \\\"content\\\": \\\"Unfortunately you lost.\\\"\\n },\\n {\\n \\\"role\\\": \\\"user\\\",\\n \\\"content\\\": \\\"Game Results for Round 4:\\\\n\\\\nAverage Number Chosen: 15.5\\\\nTarget Number (2/3 of Average): 10.33\\\\nWinning Number: 12.\\\\n\\\\nYou chose:\\\"\\n },\\n {\\n \\\"role\\\": \\\"assistant\\\",\\n \\\"content\\\": \\\"{\\\\\\\"chosen_number\\\\\\\": \\\\\\\"18\\\\\\\"}\\\"\\n },\\n {\\n \\\"role\\\": \\\"user\\\",\\n \\\"content\\\": \\\"Unfortunately you lost.\\\"\\n },\\n {\\n \\\"role\\\": \\\"user\\\",\\n \\\"content\\\": \\\"Game Results for Round 5:\\\\n\\\\nAverage Number Chosen: 11.6\\\\nTarget Number (2/3 of Average): 7.73\\\\nWinning Number: 9.\\\\n\\\\nYou chose:\\\"\\n },\\n {\\n \\\"role\\\": \\\"assistant\\\",\\n \\\"content\\\": \\\"{\\\\\\\"chosen_number\\\\\\\": \\\\\\\"13\\\\\\\"}\\\"\\n },\\n {\\n \\\"role\\\": \\\"user\\\",\\n \\\"content\\\": \\\"Unfortunately you lost.\\\"\\n },\\n {\\n \\\"role\\\": \\\"user\\\",\\n \\\"content\\\": \\\"Game Results for Round 6:\\\\n\\\\nAverage Number Chosen: 8.7\\\\nTarget Number (2/3 of Average): 5.80\\\\nWinning Number: 7.\\\\n\\\\nYou chose:\\\"\\n },\\n {\\n \\\"role\\\": \\\"assistant\\\",\\n \\\"content\\\": \\\"{\\\\\\\"chosen_number\\\\\\\": \\\\\\\"10\\\\\\\"}\\\"\\n },\\n {\\n \\\"role\\\": \\\"user\\\",\\n \\\"content\\\": \\\"Unfortunately you lost.\\\"\\n },\\n {\\n \\\"role\\\": \\\"user\\\",\\n \\\"content\\\": \\\"Game Results for Round 7:\\\\n\\\\nAverage Number Chosen: 6.8\\\\nTarget Number (2/3 of Average): 4.53\\\\nWinning Number: 6.\\\\n\\\\nYou chose:\\\"\\n },\\n {\\n \\\"role\\\": \\\"assistant\\\",\\n \\\"content\\\": \\\"{\\\\\\\"chosen_number\\\\\\\": \\\\\\\"7\\\\\\\"}\\\"\\n },\\n {\\n \\\"role\\\": \\\"user\\\",\\n \\\"content\\\": \\\"Unfortunately you lost.\\\"\\n },\\n {\\n \\\"role\\\": \\\"user\\\",\\n \\\"content\\\": \\\"Game Results for Round 8:\\\\n\\\\nAverage Number Chosen: 5.5\\\\nTarget Number (2/3 of Average): 3.67\\\\nWinning Number: 4.\\\\n\\\\nYou chose:\\\"\\n },\\n {\\n \\\"role\\\": \\\"assistant\\\",\\n \\\"content\\\": \\\"{\\\\\\\"chosen_number\\\\\\\": \\\\\\\"5\\\\\\\"}\\\"\\n },\\n {\\n \\\"role\\\": \\\"user\\\",\\n \\\"content\\\": \\\"Unfortunately you lost.\\\"\\n },\\n {\\n \\\"role\\\": \\\"user\\\",\\n \\\"content\\\": \\\"Game Results for Round 9:\\\\n\\\\nAverage Number Chosen: 4.2\\\\nTarget Number (2/3 of Average): 2.80\\\\nWinning Number: 3.\\\\n\\\\nYou chose:\\\"\\n },\\n {\\n \\\"role\\\": \\\"assistant\\\",\\n \\\"content\\\": \\\"{\\\\\\\"chosen_number\\\\\\\": \\\\\\\"4\\\\\\\"}\\\"\\n },\\n {\\n \\\"role\\\": \\\"user\\\",\\n \\\"content\\\": \\\"Unfortunately you lost.\\\"\\n },\\n {\\n \\\"role\\\": \\\"user\\\",\\n \\\"content\\\": \\\"Game Results for Round 10:\\\\n\\\\nAverage Number Chosen: 3.2\\\\nTarget Number (2/3 of Average): 2.13\\\\nWinning Number: 2.\\\\n\\\\nYou chose:\\\"\\n },\\n {\\n \\\"role\\\": \\\"assistant\\\",\\n \\\"content\\\": \\\"{\\\\\\\"chosen_number\\\\\\\": \\\\\\\"3\\\\\\\"}\\\"\\n },\\n {\\n \\\"role\\\": \\\"user\\\",\\n \\\"content\\\": \\\"Unfortunately you lost.\\\"\\n },\\n {\\n \\\"role\\\": \\\"user\\\",\\n \\\"content\\\": \\\"Game Results for Round 11:\\\\n\\\\nAverage Number Chosen: 2.3\\\\nTarget Number (2/3 of Average): 1.53\\\\nWinning Number: 2.\\\\n\\\\nYou chose:\\\"\\n },\\n {\\n \\\"role\\\": \\\"assistant\\\",\\n \\\"content\\\": \\\"{\\\\\\\"chosen_number\\\\\\\": \\\\\\\"2\\\\\\\"}\\\"\\n },\\n {\\n \\\"role\\\": \\\"user\\\",\\n \\\"content\\\": \\\"Congratulation you won.\\\"\\n },\\n {\\n \\\"role\\\": \\\"user\\\",\\n \\\"content\\\": \\\"Game Results for Round 12:\\\\n\\\\nAverage Number Chosen: 2.1\\\\nTarget Number (2/3 of Average): 1.40\\\\nWinning Number: 2.\\\\n\\\\nYou chose:\\\"\\n },\\n {\\n \\\"role\\\": \\\"assistant\\\",\\n \\\"content\\\": \\\"{\\\\\\\"chosen_number\\\\\\\": \\\\\\\"2\\\\\\\"}\\\"\\n },\\n {\\n \\\"role\\\": \\\"user\\\",\\n \\\"content\\\": \\\"Congratulation you won.\\\"\\n },\\n {\\n \\\"role\\\": \\\"user\\\",\\n \\\"content\\\": \\\"Game Results for Round 13:\\\\n\\\\nAverage Number Chosen: 2\\\\nTarget Number (2/3 of Average): 1.33\\\\nWinning Number: 2.\\\\n\\\\nYou chose:\\\"\\n },\\n {\\n \\\"role\\\": \\\"assistant\\\",\\n \\\"content\\\": \\\"{\\\\\\\"chosen_number\\\\\\\": \\\\\\\"2\\\\\\\"}\\\"\\n },\\n {\\n \\\"role\\\": \\\"user\\\",\\n \\\"content\\\": \\\"Congratulation you won.\\\"\\n },\\n {\\n \\\"role\\\": \\\"user\\\",\\n \\\"content\\\": \\\"Game Results for Round 14:\\\\n\\\\nAverage Number Chosen: 2\\\\nTarget Number (2/3 of Average): 1.33\\\\nWinning Number: 2.\\\\n\\\\nYou chose:\\\"\\n },\\n {\\n \\\"role\\\": \\\"assistant\\\",\\n \\\"content\\\": \\\"{\\\\\\\"chosen_number\\\\\\\": \\\\\\\"2\\\\\\\"}\\\"\\n },\\n {\\n \\\"role\\\": \\\"user\\\",\\n \\\"content\\\": \\\"Congratulation you won.\\\"\\n },\\n {\\n \\\"role\\\": \\\"user\\\",\\n \\\"content\\\": \\\"Game Results for Round 15:\\\\n\\\\nAverage Number Chosen: 2\\\\nTarget Number (2/3 of Average): 1.33\\\\nWinning Number: 2.\\\\n\\\\nYou chose:\\\"\\n },\\n {\\n \\\"role\\\": \\\"assistant\\\",\\n \\\"content\\\": \\\"{\\\\\\\"chosen_number\\\\\\\": \\\\\\\"2\\\\\\\"}\\\"\\n },\\n {\\n \\\"role\\\": \\\"user\\\",\\n \\\"content\\\": \\\"Congratulation you won.\\\"\\n },\\n {\\n \\\"role\\\": \\\"user\\\",\\n \\\"content\\\": \\\"Game Results for Round 16:\\\\n\\\\nAverage Number Chosen: 2\\\\nTarget Number (2/3 of Average): 1.33\\\\nWinning Number: 2.\\\\n\\\\nYou chose:\\\"\\n },\\n {\\n \\\"role\\\": \\\"assistant\\\",\\n \\\"content\\\": \\\"{\\\\\\\"chosen_number\\\\\\\": \\\\\\\"2\\\\\\\"}\\\"\\n },\\n {\\n \\\"role\\\": \\\"user\\\",\\n \\\"content\\\": \\\"Congratulation you won.\\\"\\n },\\n {\\n \\\"role\\\": \\\"user\\\",\\n \\\"content\\\": \\\"Game Results for Round 17:\\\\n\\\\nAverage Number Chosen: 2\\\\nTarget Number (2/3 of Average): 1.33\\\\nWinning Number: 2.\\\\n\\\\nYou chose:\\\"\\n },\\n {\\n \\\"role\\\": \\\"assistant\\\",\\n \\\"content\\\": \\\"{\\\\\\\"chosen_number\\\\\\\": \\\\\\\"2\\\\\\\"}\\\"\\n },\\n {\\n \\\"role\\\": \\\"user\\\",\\n \\\"content\\\": \\\"Congratulation you won.\\\"\\n },\\n {\\n \\\"role\\\": \\\"user\\\",\\n \\\"content\\\": \\\"Game Results for Round 18:\\\\n\\\\nAverage Number Chosen: 2\\\\nTarget Number (2/3 of Average): 1.33\\\\nWinning Number: 2.\\\\n\\\\nYou chose:\\\"\\n },\\n {\\n \\\"role\\\": \\\"assistant\\\",\\n \\\"content\\\": \\\"{\\\\\\\"chosen_number\\\\\\\": \\\\\\\"2\\\\\\\"}\\\"\\n },\\n {\\n \\\"role\\\": \\\"user\\\",\\n \\\"content\\\": \\\"Congratulation you won.\\\"\\n },\\n {\\n \\\"role\\\": \\\"user\\\",\\n \\\"content\\\": \\\"Game Results for Round 19:\\\\n\\\\nAverage Number Chosen: 2\\\\nTarget Number (2/3 of Average): 1.33\\\\nWinning Number: 2.\\\\n\\\\nYou chose:\\\"\\n },\\n {\\n \\\"role\\\": \\\"assistant\\\",\\n \\\"content\\\": \\\"{\\\\\\\"chosen_number\\\\\\\": \\\\\\\"2\\\\\\\"}\\\"\\n },\\n {\\n \\\"role\\\": \\\"user\\\",\\n \\\"content\\\": \\\"Congratulation you won.\\\"\\n },\\n {\\n \\\"role\\\": \\\"user\\\",\\n \\\"content\\\": \\\"Game Results for Round 20:\\\\n\\\\nAverage Number Chosen: 2\\\\nTarget Number (2/3 of Average): 1.33\\\\nWinning Number: 2.\\\\n\\\\nYou chose:\\\"\\n },\\n {\\n \\\"role\\\": \\\"assistant\\\",\\n \\\"content\\\": \\\"{\\\\\\\"chosen_number\\\\\\\": \\\\\\\"2\\\\\\\"}\\\"\\n },\\n {\\n \\\"role\\\": \\\"user\\\",\\n \\\"content\\\": \\\"Congratulation you won.\\\"\\n }\\n ],\\n \\\"records\\\": [\\n 66,\\n 40,\\n 25,\\n 18,\\n 13,\\n 10,\\n 7,\\n 5,\\n 4,\\n 3,\\n 2,\\n 2,\\n 2,\\n 2,\\n 2,\\n 2,\\n 2,\\n 2,\\n 2,\\n 2\\n ],\\n \\\"utility\\\": []\\n },\\n {\\n \\\"model\\\": \\\"Qwen/Qwen2-72B-Instruct\\\",\\n \\\"id\\\": \\\"player_5\\\",\\n \\\"prompt\\\": [\\n {\\n \\\"role\\\": \\\"system\\\",\\n \\\"content\\\": \\\"\\\\n\\\\nYou are participating in a game played by 10 players over 20 rounds.\\\\n\\\\nGame Rules:\\\\n\\\\n1. Each player selects an integer number between 0 and 100, inclusive.\\\\n2. After all selections are made, the average of all chosen numbers is calculated.\\\\n3. The target number is 2/3 of this average.\\\\n4. The winner is the player(s) who selected a number closest to the target number.\\\"\\n },\\n {\\n \\\"role\\\": \\\"user\\\",\\n \\\"content\\\": \\\"Game Results for Round 1:\\\\n\\\\nAverage Number Chosen: 48\\\\nTarget Number (2/3 of Average): 32.00\\\\nWinning Number: 33.\\\\n\\\\nYou chose:\\\"\\n },\\n {\\n \\\"role\\\": \\\"assistant\\\",\\n \\\"content\\\": \\\"{\\\\\\\"chosen_number\\\\\\\": \\\\\\\"66\\\\\\\"}\\\"\\n },\\n {\\n \\\"role\\\": \\\"user\\\",\\n \\\"content\\\": \\\"Unfortunately you lost.\\\"\\n },\\n {\\n \\\"role\\\": \\\"user\\\",\\n \\\"content\\\": \\\"Game Results for Round 2:\\\\n\\\\nAverage Number Chosen: 31.1\\\\nTarget Number (2/3 of Average): 20.73\\\\nWinning Number: 21.\\\\n\\\\nYou chose:\\\"\\n },\\n {\\n \\\"role\\\": \\\"assistant\\\",\\n \\\"content\\\": \\\"{\\\\\\\"chosen_number\\\\\\\": \\\\\\\"40\\\\\\\"}\\\"\\n },\\n {\\n \\\"role\\\": \\\"user\\\",\\n \\\"content\\\": \\\"Unfortunately you lost.\\\"\\n },\\n {\\n \\\"role\\\": \\\"user\\\",\\n \\\"content\\\": \\\"Game Results for Round 3:\\\\n\\\\nAverage Number Chosen: 21\\\\nTarget Number (2/3 of Average): 14.00\\\\nWinning Number: 15.\\\\n\\\\nYou chose:\\\"\\n },\\n {\\n \\\"role\\\": \\\"assistant\\\",\\n \\\"content\\\": \\\"{\\\\\\\"chosen_number\\\\\\\": \\\\\\\"27\\\\\\\"}\\\"\\n },\\n {\\n \\\"role\\\": \\\"user\\\",\\n \\\"content\\\": \\\"Unfortunately you lost.\\\"\\n },\\n {\\n \\\"role\\\": \\\"user\\\",\\n \\\"content\\\": \\\"Game Results for Round 4:\\\\n\\\\nAverage Number Chosen: 15.5\\\\nTarget Number (2/3 of Average): 10.33\\\\nWinning Number: 12.\\\\n\\\\nYou chose:\\\"\\n },\\n {\\n \\\"role\\\": \\\"assistant\\\",\\n \\\"content\\\": \\\"{\\\\\\\"chosen_number\\\\\\\": \\\\\\\"20\\\\\\\"}\\\"\\n },\\n {\\n \\\"role\\\": \\\"user\\\",\\n \\\"content\\\": \\\"Unfortunately you lost.\\\"\\n },\\n {\\n \\\"role\\\": \\\"user\\\",\\n \\\"content\\\": \\\"Game Results for Round 5:\\\\n\\\\nAverage Number Chosen: 11.6\\\\nTarget Number (2/3 of Average): 7.73\\\\nWinning Number: 9.\\\\n\\\\nYou chose:\\\"\\n },\\n {\\n \\\"role\\\": \\\"assistant\\\",\\n \\\"content\\\": \\\"{\\\\\\\"chosen_number\\\\\\\": \\\\\\\"16\\\\\\\"}\\\"\\n },\\n {\\n \\\"role\\\": \\\"user\\\",\\n \\\"content\\\": \\\"Unfortunately you lost.\\\"\\n },\\n {\\n \\\"role\\\": \\\"user\\\",\\n \\\"content\\\": \\\"Game Results for Round 6:\\\\n\\\\nAverage Number Chosen: 8.7\\\\nTarget Number (2/3 of Average): 5.80\\\\nWinning Number: 7.\\\\n\\\\nYou chose:\\\"\\n },\\n {\\n \\\"role\\\": \\\"assistant\\\",\\n \\\"content\\\": \\\"{\\\\\\\"chosen_number\\\\\\\": \\\\\\\"10\\\\\\\"}\\\"\\n },\\n {\\n \\\"role\\\": \\\"user\\\",\\n \\\"content\\\": \\\"Unfortunately you lost.\\\"\\n },\\n {\\n \\\"role\\\": \\\"user\\\",\\n \\\"content\\\": \\\"Game Results for Round 7:\\\\n\\\\nAverage Number Chosen: 6.8\\\\nTarget Number (2/3 of Average): 4.53\\\\nWinning Number: 6.\\\\n\\\\nYou chose:\\\"\\n },\\n {\\n \\\"role\\\": \\\"assistant\\\",\\n \\\"content\\\": \\\"{\\\\\\\"chosen_number\\\\\\\": \\\\\\\"8\\\\\\\"}\\\"\\n },\\n {\\n \\\"role\\\": \\\"user\\\",\\n \\\"content\\\": \\\"Unfortunately you lost.\\\"\\n },\\n {\\n \\\"role\\\": \\\"user\\\",\\n \\\"content\\\": \\\"Game Results for Round 8:\\\\n\\\\nAverage Number Chosen: 5.5\\\\nTarget Number (2/3 of Average): 3.67\\\\nWinning Number: 4.\\\\n\\\\nYou chose:\\\"\\n },\\n {\\n \\\"role\\\": \\\"assistant\\\",\\n \\\"content\\\": \\\"{\\\\\\\"chosen_number\\\\\\\": \\\\\\\"6\\\\\\\"}\\\"\\n },\\n {\\n \\\"role\\\": \\\"user\\\",\\n \\\"content\\\": \\\"Unfortunately you lost.\\\"\\n },\\n {\\n \\\"role\\\": \\\"user\\\",\\n \\\"content\\\": \\\"Game Results for Round 9:\\\\n\\\\nAverage Number Chosen: 4.2\\\\nTarget Number (2/3 of Average): 2.80\\\\nWinning Number: 3.\\\\n\\\\nYou chose:\\\"\\n },\\n {\\n \\\"role\\\": \\\"assistant\\\",\\n \\\"content\\\": \\\"{\\\\\\\"chosen_number\\\\\\\": \\\\\\\"4\\\\\\\"}\\\"\\n },\\n {\\n \\\"role\\\": \\\"user\\\",\\n \\\"content\\\": \\\"Unfortunately you lost.\\\"\\n },\\n {\\n \\\"role\\\": \\\"user\\\",\\n \\\"content\\\": \\\"Game Results for Round 10:\\\\n\\\\nAverage Number Chosen: 3.2\\\\nTarget Number (2/3 of Average): 2.13\\\\nWinning Number: 2.\\\\n\\\\nYou chose:\\\"\\n },\\n {\\n \\\"role\\\": \\\"assistant\\\",\\n \\\"content\\\": \\\"{\\\\\\\"chosen_number\\\\\\\": \\\\\\\"3\\\\\\\"}\\\"\\n },\\n {\\n \\\"role\\\": \\\"user\\\",\\n \\\"content\\\": \\\"Unfortunately you lost.\\\"\\n },\\n {\\n \\\"role\\\": \\\"user\\\",\\n \\\"content\\\": \\\"Game Results for Round 11:\\\\n\\\\nAverage Number Chosen: 2.3\\\\nTarget Number (2/3 of Average): 1.53\\\\nWinning Number: 2.\\\\n\\\\nYou chose:\\\"\\n },\\n {\\n \\\"role\\\": \\\"assistant\\\",\\n \\\"content\\\": \\\"{\\\\\\\"chosen_number\\\\\\\": \\\\\\\"2\\\\\\\"}\\\"\\n },\\n {\\n \\\"role\\\": \\\"user\\\",\\n \\\"content\\\": \\\"Congratulation you won.\\\"\\n },\\n {\\n \\\"role\\\": \\\"user\\\",\\n \\\"content\\\": \\\"Game Results for Round 12:\\\\n\\\\nAverage Number Chosen: 2.1\\\\nTarget Number (2/3 of Average): 1.40\\\\nWinning Number: 2.\\\\n\\\\nYou chose:\\\"\\n },\\n {\\n \\\"role\\\": \\\"assistant\\\",\\n \\\"content\\\": \\\"{\\\\\\\"chosen_number\\\\\\\": \\\\\\\"2\\\\\\\"}\\\"\\n },\\n {\\n \\\"role\\\": \\\"user\\\",\\n \\\"content\\\": \\\"Congratulation you won.\\\"\\n },\\n {\\n \\\"role\\\": \\\"user\\\",\\n \\\"content\\\": \\\"Game Results for Round 13:\\\\n\\\\nAverage Number Chosen: 2\\\\nTarget Number (2/3 of Average): 1.33\\\\nWinning Number: 2.\\\\n\\\\nYou chose:\\\"\\n },\\n {\\n \\\"role\\\": \\\"assistant\\\",\\n \\\"content\\\": \\\"{\\\\\\\"chosen_number\\\\\\\": \\\\\\\"2\\\\\\\"}\\\"\\n },\\n {\\n \\\"role\\\": \\\"user\\\",\\n \\\"content\\\": \\\"Congratulation you won.\\\"\\n },\\n {\\n \\\"role\\\": \\\"user\\\",\\n \\\"content\\\": \\\"Game Results for Round 14:\\\\n\\\\nAverage Number Chosen: 2\\\\nTarget Number (2/3 of Average): 1.33\\\\nWinning Number: 2.\\\\n\\\\nYou chose:\\\"\\n },\\n {\\n \\\"role\\\": \\\"assistant\\\",\\n \\\"content\\\": \\\"{\\\\\\\"chosen_number\\\\\\\": \\\\\\\"2\\\\\\\"}\\\"\\n },\\n {\\n \\\"role\\\": \\\"user\\\",\\n \\\"content\\\": \\\"Congratulation you won.\\\"\\n },\\n {\\n \\\"role\\\": \\\"user\\\",\\n \\\"content\\\": \\\"Game Results for Round 15:\\\\n\\\\nAverage Number Chosen: 2\\\\nTarget Number (2/3 of Average): 1.33\\\\nWinning Number: 2.\\\\n\\\\nYou chose:\\\"\\n },\\n {\\n \\\"role\\\": \\\"assistant\\\",\\n \\\"content\\\": \\\"{\\\\\\\"chosen_number\\\\\\\": \\\\\\\"2\\\\\\\"}\\\"\\n },\\n {\\n \\\"role\\\": \\\"user\\\",\\n \\\"content\\\": \\\"Congratulation you won.\\\"\\n },\\n {\\n \\\"role\\\": \\\"user\\\",\\n \\\"content\\\": \\\"Game Results for Round 16:\\\\n\\\\nAverage Number Chosen: 2\\\\nTarget Number (2/3 of Average): 1.33\\\\nWinning Number: 2.\\\\n\\\\nYou chose:\\\"\\n },\\n {\\n \\\"role\\\": \\\"assistant\\\",\\n \\\"content\\\": \\\"{\\\\\\\"chosen_number\\\\\\\": \\\\\\\"2\\\\\\\"}\\\"\\n },\\n {\\n \\\"role\\\": \\\"user\\\",\\n \\\"content\\\": \\\"Congratulation you won.\\\"\\n },\\n {\\n \\\"role\\\": \\\"user\\\",\\n \\\"content\\\": \\\"Game Results for Round 17:\\\\n\\\\nAverage Number Chosen: 2\\\\nTarget Number (2/3 of Average): 1.33\\\\nWinning Number: 2.\\\\n\\\\nYou chose:\\\"\\n },\\n {\\n \\\"role\\\": \\\"assistant\\\",\\n \\\"content\\\": \\\"{\\\\\\\"chosen_number\\\\\\\": \\\\\\\"2\\\\\\\"}\\\"\\n },\\n {\\n \\\"role\\\": \\\"user\\\",\\n \\\"content\\\": \\\"Congratulation you won.\\\"\\n },\\n {\\n \\\"role\\\": \\\"user\\\",\\n \\\"content\\\": \\\"Game Results for Round 18:\\\\n\\\\nAverage Number Chosen: 2\\\\nTarget Number (2/3 of Average): 1.33\\\\nWinning Number: 2.\\\\n\\\\nYou chose:\\\"\\n },\\n {\\n \\\"role\\\": \\\"assistant\\\",\\n \\\"content\\\": \\\"{\\\\\\\"chosen_number\\\\\\\": \\\\\\\"2\\\\\\\"}\\\"\\n },\\n {\\n \\\"role\\\": \\\"user\\\",\\n \\\"content\\\": \\\"Congratulation you won.\\\"\\n },\\n {\\n \\\"role\\\": \\\"user\\\",\\n \\\"content\\\": \\\"Game Results for Round 19:\\\\n\\\\nAverage Number Chosen: 2\\\\nTarget Number (2/3 of Average): 1.33\\\\nWinning Number: 2.\\\\n\\\\nYou chose:\\\"\\n },\\n {\\n \\\"role\\\": \\\"assistant\\\",\\n \\\"content\\\": \\\"{\\\\\\\"chosen_number\\\\\\\": \\\\\\\"2\\\\\\\"}\\\"\\n },\\n {\\n \\\"role\\\": \\\"user\\\",\\n \\\"content\\\": \\\"Congratulation you won.\\\"\\n },\\n {\\n \\\"role\\\": \\\"user\\\",\\n \\\"content\\\": \\\"Game Results for Round 20:\\\\n\\\\nAverage Number Chosen: 2\\\\nTarget Number (2/3 of Average): 1.33\\\\nWinning Number: 2.\\\\n\\\\nYou chose:\\\"\\n },\\n {\\n \\\"role\\\": \\\"assistant\\\",\\n \\\"content\\\": \\\"{\\\\\\\"chosen_number\\\\\\\": \\\\\\\"2\\\\\\\"}\\\"\\n },\\n {\\n \\\"role\\\": \\\"user\\\",\\n \\\"content\\\": \\\"Congratulation you won.\\\"\\n }\\n ],\\n \\\"records\\\": [\\n 66,\\n 40,\\n 27,\\n 20,\\n 16,\\n 10,\\n 8,\\n 6,\\n 4,\\n 3,\\n 2,\\n 2,\\n 2,\\n 2,\\n 2,\\n 2,\\n 2,\\n 2,\\n 2,\\n 2\\n ],\\n \\\"utility\\\": []\\n },\\n {\\n \\\"model\\\": \\\"Qwen/Qwen2-72B-Instruct\\\",\\n \\\"id\\\": \\\"player_6\\\",\\n \\\"prompt\\\": [\\n {\\n \\\"role\\\": \\\"system\\\",\\n \\\"content\\\": \\\"\\\\n\\\\nYou are participating in a game played by 10 players over 20 rounds.\\\\n\\\\nGame Rules:\\\\n\\\\n1. Each player selects an integer number between 0 and 100, inclusive.\\\\n2. After all selections are made, the average of all chosen numbers is calculated.\\\\n3. The target number is 2/3 of this average.\\\\n4. The winner is the player(s) who selected a number closest to the target number.\\\"\\n },\\n {\\n \\\"role\\\": \\\"user\\\",\\n \\\"content\\\": \\\"Game Results for Round 1:\\\\n\\\\nAverage Number Chosen: 48\\\\nTarget Number (2/3 of Average): 32.00\\\\nWinning Number: 33.\\\\n\\\\nYou chose:\\\"\\n },\\n {\\n \\\"role\\\": \\\"assistant\\\",\\n \\\"content\\\": \\\"{\\\\\\\"chosen_number\\\\\\\": \\\\\\\"33\\\\\\\"}\\\"\\n },\\n {\\n \\\"role\\\": \\\"user\\\",\\n \\\"content\\\": \\\"Congratulation you won.\\\"\\n },\\n {\\n \\\"role\\\": \\\"user\\\",\\n \\\"content\\\": \\\"Game Results for Round 2:\\\\n\\\\nAverage Number Chosen: 31.1\\\\nTarget Number (2/3 of Average): 20.73\\\\nWinning Number: 21.\\\\n\\\\nYou chose:\\\"\\n },\\n {\\n \\\"role\\\": \\\"assistant\\\",\\n \\\"content\\\": \\\"{\\\\\\\"chosen_number\\\\\\\": \\\\\\\"21\\\\\\\"}\\\"\\n },\\n {\\n \\\"role\\\": \\\"user\\\",\\n \\\"content\\\": \\\"Congratulation you won.\\\"\\n },\\n {\\n \\\"role\\\": \\\"user\\\",\\n \\\"content\\\": \\\"Game Results for Round 3:\\\\n\\\\nAverage Number Chosen: 21\\\\nTarget Number (2/3 of Average): 14.00\\\\nWinning Number: 15.\\\\n\\\\nYou chose:\\\"\\n },\\n {\\n \\\"role\\\": \\\"assistant\\\",\\n \\\"content\\\": \\\"{\\\\\\\"chosen_number\\\\\\\": \\\\\\\"15\\\\\\\"}\\\"\\n },\\n {\\n \\\"role\\\": \\\"user\\\",\\n \\\"content\\\": \\\"Congratulation you won.\\\"\\n },\\n {\\n \\\"role\\\": \\\"user\\\",\\n \\\"content\\\": \\\"Game Results for Round 4:\\\\n\\\\nAverage Number Chosen: 15.5\\\\nTarget Number (2/3 of Average): 10.33\\\\nWinning Number: 12.\\\\n\\\\nYou chose:\\\"\\n },\\n {\\n \\\"role\\\": \\\"assistant\\\",\\n \\\"content\\\": \\\"{\\\\\\\"chosen_number\\\\\\\": \\\\\\\"12\\\\\\\"}\\\"\\n },\\n {\\n \\\"role\\\": \\\"user\\\",\\n \\\"content\\\": \\\"Congratulation you won.\\\"\\n },\\n {\\n \\\"role\\\": \\\"user\\\",\\n \\\"content\\\": \\\"Game Results for Round 5:\\\\n\\\\nAverage Number Chosen: 11.6\\\\nTarget Number (2/3 of Average): 7.73\\\\nWinning Number: 9.\\\\n\\\\nYou chose:\\\"\\n },\\n {\\n \\\"role\\\": \\\"assistant\\\",\\n \\\"content\\\": \\\"{\\\\\\\"chosen_number\\\\\\\": \\\\\\\"10\\\\\\\"}\\\"\\n },\\n {\\n \\\"role\\\": \\\"user\\\",\\n \\\"content\\\": \\\"Unfortunately you lost.\\\"\\n },\\n {\\n \\\"role\\\": \\\"user\\\",\\n \\\"content\\\": \\\"Game Results for Round 6:\\\\n\\\\nAverage Number Chosen: 8.7\\\\nTarget Number (2/3 of Average): 5.80\\\\nWinning Number: 7.\\\\n\\\\nYou chose:\\\"\\n },\\n {\\n \\\"role\\\": \\\"assistant\\\",\\n \\\"content\\\": \\\"{\\\\\\\"chosen_number\\\\\\\": \\\\\\\"7\\\\\\\"}\\\"\\n },\\n {\\n \\\"role\\\": \\\"user\\\",\\n \\\"content\\\": \\\"Congratulation you won.\\\"\\n },\\n {\\n \\\"role\\\": \\\"user\\\",\\n \\\"content\\\": \\\"Game Results for Round 7:\\\\n\\\\nAverage Number Chosen: 6.8\\\\nTarget Number (2/3 of Average): 4.53\\\\nWinning Number: 6.\\\\n\\\\nYou chose:\\\"\\n },\\n {\\n \\\"role\\\": \\\"assistant\\\",\\n \\\"content\\\": \\\"{\\\\\\\"chosen_number\\\\\\\": \\\\\\\"6\\\\\\\"}\\\"\\n },\\n {\\n \\\"role\\\": \\\"user\\\",\\n \\\"content\\\": \\\"Congratulation you won.\\\"\\n },\\n {\\n \\\"role\\\": \\\"user\\\",\\n \\\"content\\\": \\\"Game Results for Round 8:\\\\n\\\\nAverage Number Chosen: 5.5\\\\nTarget Number (2/3 of Average): 3.67\\\\nWinning Number: 4.\\\\n\\\\nYou chose:\\\"\\n },\\n {\\n \\\"role\\\": \\\"assistant\\\",\\n \\\"content\\\": \\\"{\\\\\\\"chosen_number\\\\\\\": \\\\\\\"6\\\\\\\"}\\\"\\n },\\n {\\n \\\"role\\\": \\\"user\\\",\\n \\\"content\\\": \\\"Unfortunately you lost.\\\"\\n },\\n {\\n \\\"role\\\": \\\"user\\\",\\n \\\"content\\\": \\\"Game Results for Round 9:\\\\n\\\\nAverage Number Chosen: 4.2\\\\nTarget Number (2/3 of Average): 2.80\\\\nWinning Number: 3.\\\\n\\\\nYou chose:\\\"\\n },\\n {\\n \\\"role\\\": \\\"assistant\\\",\\n \\\"content\\\": \\\"{\\\\\\\"chosen_number\\\\\\\": \\\\\\\"4\\\\\\\"}\\\"\\n },\\n {\\n \\\"role\\\": \\\"user\\\",\\n \\\"content\\\": \\\"Unfortunately you lost.\\\"\\n },\\n {\\n \\\"role\\\": \\\"user\\\",\\n \\\"content\\\": \\\"Game Results for Round 10:\\\\n\\\\nAverage Number Chosen: 3.2\\\\nTarget Number (2/3 of Average): 2.13\\\\nWinning Number: 2.\\\\n\\\\nYou chose:\\\"\\n },\\n {\\n \\\"role\\\": \\\"assistant\\\",\\n \\\"content\\\": \\\"{\\\\\\\"chosen_number\\\\\\\": \\\\\\\"3\\\\\\\"}\\\"\\n },\\n {\\n \\\"role\\\": \\\"user\\\",\\n \\\"content\\\": \\\"Unfortunately you lost.\\\"\\n },\\n {\\n \\\"role\\\": \\\"user\\\",\\n \\\"content\\\": \\\"Game Results for Round 11:\\\\n\\\\nAverage Number Chosen: 2.3\\\\nTarget Number (2/3 of Average): 1.53\\\\nWinning Number: 2.\\\\n\\\\nYou chose:\\\"\\n },\\n {\\n \\\"role\\\": \\\"assistant\\\",\\n \\\"content\\\": \\\"{\\\\\\\"chosen_number\\\\\\\": \\\\\\\"2\\\\\\\"}\\\"\\n },\\n {\\n \\\"role\\\": \\\"user\\\",\\n \\\"content\\\": \\\"Congratulation you won.\\\"\\n },\\n {\\n \\\"role\\\": \\\"user\\\",\\n \\\"content\\\": \\\"Game Results for Round 12:\\\\n\\\\nAverage Number Chosen: 2.1\\\\nTarget Number (2/3 of Average): 1.40\\\\nWinning Number: 2.\\\\n\\\\nYou chose:\\\"\\n },\\n {\\n \\\"role\\\": \\\"assistant\\\",\\n \\\"content\\\": \\\"{\\\\\\\"chosen_number\\\\\\\": \\\\\\\"2\\\\\\\"}\\\"\\n },\\n {\\n \\\"role\\\": \\\"user\\\",\\n \\\"content\\\": \\\"Congratulation you won.\\\"\\n },\\n {\\n \\\"role\\\": \\\"user\\\",\\n \\\"content\\\": \\\"Game Results for Round 13:\\\\n\\\\nAverage Number Chosen: 2\\\\nTarget Number (2/3 of Average): 1.33\\\\nWinning Number: 2.\\\\n\\\\nYou chose:\\\"\\n },\\n {\\n \\\"role\\\": \\\"assistant\\\",\\n \\\"content\\\": \\\"{\\\\\\\"chosen_number\\\\\\\": \\\\\\\"2\\\\\\\"}\\\"\\n },\\n {\\n \\\"role\\\": \\\"user\\\",\\n \\\"content\\\": \\\"Congratulation you won.\\\"\\n },\\n {\\n \\\"role\\\": \\\"user\\\",\\n \\\"content\\\": \\\"Game Results for Round 14:\\\\n\\\\nAverage Number Chosen: 2\\\\nTarget Number (2/3 of Average): 1.33\\\\nWinning Number: 2.\\\\n\\\\nYou chose:\\\"\\n },\\n {\\n \\\"role\\\": \\\"assistant\\\",\\n \\\"content\\\": \\\"{\\\\\\\"chosen_number\\\\\\\": \\\\\\\"2\\\\\\\"}\\\"\\n },\\n {\\n \\\"role\\\": \\\"user\\\",\\n \\\"content\\\": \\\"Congratulation you won.\\\"\\n },\\n {\\n \\\"role\\\": \\\"user\\\",\\n \\\"content\\\": \\\"Game Results for Round 15:\\\\n\\\\nAverage Number Chosen: 2\\\\nTarget Number (2/3 of Average): 1.33\\\\nWinning Number: 2.\\\\n\\\\nYou chose:\\\"\\n },\\n {\\n \\\"role\\\": \\\"assistant\\\",\\n \\\"content\\\": \\\"{\\\\\\\"chosen_number\\\\\\\": \\\\\\\"2\\\\\\\"}\\\"\\n },\\n {\\n \\\"role\\\": \\\"user\\\",\\n \\\"content\\\": \\\"Congratulation you won.\\\"\\n },\\n {\\n \\\"role\\\": \\\"user\\\",\\n \\\"content\\\": \\\"Game Results for Round 16:\\\\n\\\\nAverage Number Chosen: 2\\\\nTarget Number (2/3 of Average): 1.33\\\\nWinning Number: 2.\\\\n\\\\nYou chose:\\\"\\n },\\n {\\n \\\"role\\\": \\\"assistant\\\",\\n \\\"content\\\": \\\"{\\\\\\\"chosen_number\\\\\\\": \\\\\\\"2\\\\\\\"}\\\"\\n },\\n {\\n \\\"role\\\": \\\"user\\\",\\n \\\"content\\\": \\\"Congratulation you won.\\\"\\n },\\n {\\n \\\"role\\\": \\\"user\\\",\\n \\\"content\\\": \\\"Game Results for Round 17:\\\\n\\\\nAverage Number Chosen: 2\\\\nTarget Number (2/3 of Average): 1.33\\\\nWinning Number: 2.\\\\n\\\\nYou chose:\\\"\\n },\\n {\\n \\\"role\\\": \\\"assistant\\\",\\n \\\"content\\\": \\\"{\\\\\\\"chosen_number\\\\\\\": \\\\\\\"2\\\\\\\"}\\\"\\n },\\n {\\n \\\"role\\\": \\\"user\\\",\\n \\\"content\\\": \\\"Congratulation you won.\\\"\\n },\\n {\\n \\\"role\\\": \\\"user\\\",\\n \\\"content\\\": \\\"Game Results for Round 18:\\\\n\\\\nAverage Number Chosen: 2\\\\nTarget Number (2/3 of Average): 1.33\\\\nWinning Number: 2.\\\\n\\\\nYou chose:\\\"\\n },\\n {\\n \\\"role\\\": \\\"assistant\\\",\\n \\\"content\\\": \\\"{\\\\\\\"chosen_number\\\\\\\": \\\\\\\"2\\\\\\\"}\\\"\\n },\\n {\\n \\\"role\\\": \\\"user\\\",\\n \\\"content\\\": \\\"Congratulation you won.\\\"\\n },\\n {\\n \\\"role\\\": \\\"user\\\",\\n \\\"content\\\": \\\"Game Results for Round 19:\\\\n\\\\nAverage Number Chosen: 2\\\\nTarget Number (2/3 of Average): 1.33\\\\nWinning Number: 2.\\\\n\\\\nYou chose:\\\"\\n },\\n {\\n \\\"role\\\": \\\"assistant\\\",\\n \\\"content\\\": \\\"{\\\\\\\"chosen_number\\\\\\\": \\\\\\\"2\\\\\\\"}\\\"\\n },\\n {\\n \\\"role\\\": \\\"user\\\",\\n \\\"content\\\": \\\"Congratulation you won.\\\"\\n },\\n {\\n \\\"role\\\": \\\"user\\\",\\n \\\"content\\\": \\\"Game Results for Round 20:\\\\n\\\\nAverage Number Chosen: 2\\\\nTarget Number (2/3 of Average): 1.33\\\\nWinning Number: 2.\\\\n\\\\nYou chose:\\\"\\n },\\n {\\n \\\"role\\\": \\\"assistant\\\",\\n \\\"content\\\": \\\"{\\\\\\\"chosen_number\\\\\\\": \\\\\\\"2\\\\\\\"}\\\"\\n },\\n {\\n \\\"role\\\": \\\"user\\\",\\n \\\"content\\\": \\\"Congratulation you won.\\\"\\n }\\n ],\\n \\\"records\\\": [\\n 33,\\n 21,\\n 15,\\n 12,\\n 10,\\n 7,\\n 6,\\n 6,\\n 4,\\n 3,\\n 2,\\n 2,\\n 2,\\n 2,\\n 2,\\n 2,\\n 2,\\n 2,\\n 2,\\n 2\\n ],\\n \\\"utility\\\": []\\n },\\n {\\n \\\"model\\\": \\\"Qwen/Qwen2-72B-Instruct\\\",\\n \\\"id\\\": \\\"player_7\\\",\\n \\\"prompt\\\": [\\n {\\n \\\"role\\\": \\\"system\\\",\\n \\\"content\\\": \\\"\\\\n\\\\nYou are participating in a game played by 10 players over 20 rounds.\\\\n\\\\nGame Rules:\\\\n\\\\n1. Each player selects an integer number between 0 and 100, inclusive.\\\\n2. After all selections are made, the average of all chosen numbers is calculated.\\\\n3. The target number is 2/3 of this average.\\\\n4. The winner is the player(s) who selected a number closest to the target number.\\\"\\n },\\n {\\n \\\"role\\\": \\\"user\\\",\\n \\\"content\\\": \\\"Game Results for Round 1:\\\\n\\\\nAverage Number Chosen: 48\\\\nTarget Number (2/3 of Average): 32.00\\\\nWinning Number: 33.\\\\n\\\\nYou chose:\\\"\\n },\\n {\\n \\\"role\\\": \\\"assistant\\\",\\n \\\"content\\\": \\\"{\\\\\\\"chosen_number\\\\\\\": \\\\\\\"33\\\\\\\"}\\\"\\n },\\n {\\n \\\"role\\\": \\\"user\\\",\\n \\\"content\\\": \\\"Congratulation you won.\\\"\\n },\\n {\\n \\\"role\\\": \\\"user\\\",\\n \\\"content\\\": \\\"Game Results for Round 2:\\\\n\\\\nAverage Number Chosen: 31.1\\\\nTarget Number (2/3 of Average): 20.73\\\\nWinning Number: 21.\\\\n\\\\nYou chose:\\\"\\n },\\n {\\n \\\"role\\\": \\\"assistant\\\",\\n \\\"content\\\": \\\"{\\\\\\\"chosen_number\\\\\\\": \\\\\\\"30\\\\\\\"}\\\"\\n },\\n {\\n \\\"role\\\": \\\"user\\\",\\n \\\"content\\\": \\\"Unfortunately you lost.\\\"\\n },\\n {\\n \\\"role\\\": \\\"user\\\",\\n \\\"content\\\": \\\"Game Results for Round 3:\\\\n\\\\nAverage Number Chosen: 21\\\\nTarget Number (2/3 of Average): 14.00\\\\nWinning Number: 15.\\\\n\\\\nYou chose:\\\"\\n },\\n {\\n \\\"role\\\": \\\"assistant\\\",\\n \\\"content\\\": \\\"{\\\\\\\"chosen_number\\\\\\\": \\\\\\\"20\\\\\\\"}\\\"\\n },\\n {\\n \\\"role\\\": \\\"user\\\",\\n \\\"content\\\": \\\"Unfortunately you lost.\\\"\\n },\\n {\\n \\\"role\\\": \\\"user\\\",\\n \\\"content\\\": \\\"Game Results for Round 4:\\\\n\\\\nAverage Number Chosen: 15.5\\\\nTarget Number (2/3 of Average): 10.33\\\\nWinning Number: 12.\\\\n\\\\nYou chose:\\\"\\n },\\n {\\n \\\"role\\\": \\\"assistant\\\",\\n \\\"content\\\": \\\"{\\\\\\\"chosen_number\\\\\\\": \\\\\\\"13\\\\\\\"}\\\"\\n },\\n {\\n \\\"role\\\": \\\"user\\\",\\n \\\"content\\\": \\\"Unfortunately you lost.\\\"\\n },\\n {\\n \\\"role\\\": \\\"user\\\",\\n \\\"content\\\": \\\"Game Results for Round 5:\\\\n\\\\nAverage Number Chosen: 11.6\\\\nTarget Number (2/3 of Average): 7.73\\\\nWinning Number: 9.\\\\n\\\\nYou chose:\\\"\\n },\\n {\\n \\\"role\\\": \\\"assistant\\\",\\n \\\"content\\\": \\\"{\\\\\\\"chosen_number\\\\\\\": \\\\\\\"10\\\\\\\"}\\\"\\n },\\n {\\n \\\"role\\\": \\\"user\\\",\\n \\\"content\\\": \\\"Unfortunately you lost.\\\"\\n },\\n {\\n \\\"role\\\": \\\"user\\\",\\n \\\"content\\\": \\\"Game Results for Round 6:\\\\n\\\\nAverage Number Chosen: 8.7\\\\nTarget Number (2/3 of Average): 5.80\\\\nWinning Number: 7.\\\\n\\\\nYou chose:\\\"\\n },\\n {\\n \\\"role\\\": \\\"assistant\\\",\\n \\\"content\\\": \\\"{\\\\\\\"chosen_number\\\\\\\": \\\\\\\"8\\\\\\\"}\\\"\\n },\\n {\\n \\\"role\\\": \\\"user\\\",\\n \\\"content\\\": \\\"Unfortunately you lost.\\\"\\n },\\n {\\n \\\"role\\\": \\\"user\\\",\\n \\\"content\\\": \\\"Game Results for Round 7:\\\\n\\\\nAverage Number Chosen: 6.8\\\\nTarget Number (2/3 of Average): 4.53\\\\nWinning Number: 6.\\\\n\\\\nYou chose:\\\"\\n },\\n {\\n \\\"role\\\": \\\"assistant\\\",\\n \\\"content\\\": \\\"{\\\\\\\"chosen_number\\\\\\\": \\\\\\\"6\\\\\\\"}\\\"\\n },\\n {\\n \\\"role\\\": \\\"user\\\",\\n \\\"content\\\": \\\"Congratulation you won.\\\"\\n },\\n {\\n \\\"role\\\": \\\"user\\\",\\n \\\"content\\\": \\\"Game Results for Round 8:\\\\n\\\\nAverage Number Chosen: 5.5\\\\nTarget Number (2/3 of Average): 3.67\\\\nWinning Number: 4.\\\\n\\\\nYou chose:\\\"\\n },\\n {\\n \\\"role\\\": \\\"assistant\\\",\\n \\\"content\\\": \\\"{\\\\\\\"chosen_number\\\\\\\": \\\\\\\"4\\\\\\\"}\\\"\\n },\\n {\\n \\\"role\\\": \\\"user\\\",\\n \\\"content\\\": \\\"Congratulation you won.\\\"\\n },\\n {\\n \\\"role\\\": \\\"user\\\",\\n \\\"content\\\": \\\"Game Results for Round 9:\\\\n\\\\nAverage Number Chosen: 4.2\\\\nTarget Number (2/3 of Average): 2.80\\\\nWinning Number: 3.\\\\n\\\\nYou chose:\\\"\\n },\\n {\\n \\\"role\\\": \\\"assistant\\\",\\n \\\"content\\\": \\\"{\\\\\\\"chosen_number\\\\\\\": \\\\\\\"3\\\\\\\"}\\\"\\n },\\n {\\n \\\"role\\\": \\\"user\\\",\\n \\\"content\\\": \\\"Congratulation you won.\\\"\\n },\\n {\\n \\\"role\\\": \\\"user\\\",\\n \\\"content\\\": \\\"Game Results for Round 10:\\\\n\\\\nAverage Number Chosen: 3.2\\\\nTarget Number (2/3 of Average): 2.13\\\\nWinning Number: 2.\\\\n\\\\nYou chose:\\\"\\n },\\n {\\n \\\"role\\\": \\\"assistant\\\",\\n \\\"content\\\": \\\"{\\\\\\\"chosen_number\\\\\\\": \\\\\\\"2\\\\\\\"}\\\"\\n },\\n {\\n \\\"role\\\": \\\"user\\\",\\n \\\"content\\\": \\\"Congratulation you won.\\\"\\n },\\n {\\n \\\"role\\\": \\\"user\\\",\\n \\\"content\\\": \\\"Game Results for Round 11:\\\\n\\\\nAverage Number Chosen: 2.3\\\\nTarget Number (2/3 of Average): 1.53\\\\nWinning Number: 2.\\\\n\\\\nYou chose:\\\"\\n },\\n {\\n \\\"role\\\": \\\"assistant\\\",\\n \\\"content\\\": \\\"{\\\\\\\"chosen_number\\\\\\\": \\\\\\\"2\\\\\\\"}\\\"\\n },\\n {\\n \\\"role\\\": \\\"user\\\",\\n \\\"content\\\": \\\"Congratulation you won.\\\"\\n },\\n {\\n \\\"role\\\": \\\"user\\\",\\n \\\"content\\\": \\\"Game Results for Round 12:\\\\n\\\\nAverage Number Chosen: 2.1\\\\nTarget Number (2/3 of Average): 1.40\\\\nWinning Number: 2.\\\\n\\\\nYou chose:\\\"\\n },\\n {\\n \\\"role\\\": \\\"assistant\\\",\\n \\\"content\\\": \\\"{\\\\\\\"chosen_number\\\\\\\": \\\\\\\"2\\\\\\\"}\\\"\\n },\\n {\\n \\\"role\\\": \\\"user\\\",\\n \\\"content\\\": \\\"Congratulation you won.\\\"\\n },\\n {\\n \\\"role\\\": \\\"user\\\",\\n \\\"content\\\": \\\"Game Results for Round 13:\\\\n\\\\nAverage Number Chosen: 2\\\\nTarget Number (2/3 of Average): 1.33\\\\nWinning Number: 2.\\\\n\\\\nYou chose:\\\"\\n },\\n {\\n \\\"role\\\": \\\"assistant\\\",\\n \\\"content\\\": \\\"{\\\\\\\"chosen_number\\\\\\\": \\\\\\\"2\\\\\\\"}\\\"\\n },\\n {\\n \\\"role\\\": \\\"user\\\",\\n \\\"content\\\": \\\"Congratulation you won.\\\"\\n },\\n {\\n \\\"role\\\": \\\"user\\\",\\n \\\"content\\\": \\\"Game Results for Round 14:\\\\n\\\\nAverage Number Chosen: 2\\\\nTarget Number (2/3 of Average): 1.33\\\\nWinning Number: 2.\\\\n\\\\nYou chose:\\\"\\n },\\n {\\n \\\"role\\\": \\\"assistant\\\",\\n \\\"content\\\": \\\"{\\\\\\\"chosen_number\\\\\\\": \\\\\\\"2\\\\\\\"}\\\"\\n },\\n {\\n \\\"role\\\": \\\"user\\\",\\n \\\"content\\\": \\\"Congratulation you won.\\\"\\n },\\n {\\n \\\"role\\\": \\\"user\\\",\\n \\\"content\\\": \\\"Game Results for Round 15:\\\\n\\\\nAverage Number Chosen: 2\\\\nTarget Number (2/3 of Average): 1.33\\\\nWinning Number: 2.\\\\n\\\\nYou chose:\\\"\\n },\\n {\\n \\\"role\\\": \\\"assistant\\\",\\n \\\"content\\\": \\\"{\\\\\\\"chosen_number\\\\\\\": \\\\\\\"2\\\\\\\"}\\\"\\n },\\n {\\n \\\"role\\\": \\\"user\\\",\\n \\\"content\\\": \\\"Congratulation you won.\\\"\\n },\\n {\\n \\\"role\\\": \\\"user\\\",\\n \\\"content\\\": \\\"Game Results for Round 16:\\\\n\\\\nAverage Number Chosen: 2\\\\nTarget Number (2/3 of Average): 1.33\\\\nWinning Number: 2.\\\\n\\\\nYou chose:\\\"\\n },\\n {\\n \\\"role\\\": \\\"assistant\\\",\\n \\\"content\\\": \\\"{\\\\\\\"chosen_number\\\\\\\": \\\\\\\"2\\\\\\\"}\\\"\\n },\\n {\\n \\\"role\\\": \\\"user\\\",\\n \\\"content\\\": \\\"Congratulation you won.\\\"\\n },\\n {\\n \\\"role\\\": \\\"user\\\",\\n \\\"content\\\": \\\"Game Results for Round 17:\\\\n\\\\nAverage Number Chosen: 2\\\\nTarget Number (2/3 of Average): 1.33\\\\nWinning Number: 2.\\\\n\\\\nYou chose:\\\"\\n },\\n {\\n \\\"role\\\": \\\"assistant\\\",\\n \\\"content\\\": \\\"{\\\\\\\"chosen_number\\\\\\\": \\\\\\\"2\\\\\\\"}\\\"\\n },\\n {\\n \\\"role\\\": \\\"user\\\",\\n \\\"content\\\": \\\"Congratulation you won.\\\"\\n },\\n {\\n \\\"role\\\": \\\"user\\\",\\n \\\"content\\\": \\\"Game Results for Round 18:\\\\n\\\\nAverage Number Chosen: 2\\\\nTarget Number (2/3 of Average): 1.33\\\\nWinning Number: 2.\\\\n\\\\nYou chose:\\\"\\n },\\n {\\n \\\"role\\\": \\\"assistant\\\",\\n \\\"content\\\": \\\"{\\\\\\\"chosen_number\\\\\\\": \\\\\\\"2\\\\\\\"}\\\"\\n },\\n {\\n \\\"role\\\": \\\"user\\\",\\n \\\"content\\\": \\\"Congratulation you won.\\\"\\n },\\n {\\n \\\"role\\\": \\\"user\\\",\\n \\\"content\\\": \\\"Game Results for Round 19:\\\\n\\\\nAverage Number Chosen: 2\\\\nTarget Number (2/3 of Average): 1.33\\\\nWinning Number: 2.\\\\n\\\\nYou chose:\\\"\\n },\\n {\\n \\\"role\\\": \\\"assistant\\\",\\n \\\"content\\\": \\\"{\\\\\\\"chosen_number\\\\\\\": \\\\\\\"2\\\\\\\"}\\\"\\n },\\n {\\n \\\"role\\\": \\\"user\\\",\\n \\\"content\\\": \\\"Congratulation you won.\\\"\\n },\\n {\\n \\\"role\\\": \\\"user\\\",\\n \\\"content\\\": \\\"Game Results for Round 20:\\\\n\\\\nAverage Number Chosen: 2\\\\nTarget Number (2/3 of Average): 1.33\\\\nWinning Number: 2.\\\\n\\\\nYou chose:\\\"\\n },\\n {\\n \\\"role\\\": \\\"assistant\\\",\\n \\\"content\\\": \\\"{\\\\\\\"chosen_number\\\\\\\": \\\\\\\"2\\\\\\\"}\\\"\\n },\\n {\\n \\\"role\\\": \\\"user\\\",\\n \\\"content\\\": \\\"Congratulation you won.\\\"\\n }\\n ],\\n \\\"records\\\": [\\n 33,\\n 30,\\n 20,\\n 13,\\n 10,\\n 8,\\n 6,\\n 4,\\n 3,\\n 2,\\n 2,\\n 2,\\n 2,\\n 2,\\n 2,\\n 2,\\n 2,\\n 2,\\n 2,\\n 2\\n ],\\n \\\"utility\\\": []\\n },\\n {\\n \\\"model\\\": \\\"Qwen/Qwen2-72B-Instruct\\\",\\n \\\"id\\\": \\\"player_8\\\",\\n \\\"prompt\\\": [\\n {\\n \\\"role\\\": \\\"system\\\",\\n \\\"content\\\": \\\"\\\\n\\\\nYou are participating in a game played by 10 players over 20 rounds.\\\\n\\\\nGame Rules:\\\\n\\\\n1. Each player selects an integer number between 0 and 100, inclusive.\\\\n2. After all selections are made, the average of all chosen numbers is calculated.\\\\n3. The target number is 2/3 of this average.\\\\n4. The winner is the player(s) who selected a number closest to the target number.\\\"\\n },\\n {\\n \\\"role\\\": \\\"user\\\",\\n \\\"content\\\": \\\"Game Results for Round 1:\\\\n\\\\nAverage Number Chosen: 48\\\\nTarget Number (2/3 of Average): 32.00\\\\nWinning Number: 33.\\\\n\\\\nYou chose:\\\"\\n },\\n {\\n \\\"role\\\": \\\"assistant\\\",\\n \\\"content\\\": \\\"{\\\\\\\"chosen_number\\\\\\\": \\\\\\\"50\\\\\\\"}\\\"\\n },\\n {\\n \\\"role\\\": \\\"user\\\",\\n \\\"content\\\": \\\"Unfortunately you lost.\\\"\\n },\\n {\\n \\\"role\\\": \\\"user\\\",\\n \\\"content\\\": \\\"Game Results for Round 2:\\\\n\\\\nAverage Number Chosen: 31.1\\\\nTarget Number (2/3 of Average): 20.73\\\\nWinning Number: 21.\\\\n\\\\nYou chose:\\\"\\n },\\n {\\n \\\"role\\\": \\\"assistant\\\",\\n \\\"content\\\": \\\"{\\\\\\\"chosen_number\\\\\\\": \\\\\\\"30\\\\\\\"}\\\"\\n },\\n {\\n \\\"role\\\": \\\"user\\\",\\n \\\"content\\\": \\\"Unfortunately you lost.\\\"\\n },\\n {\\n \\\"role\\\": \\\"user\\\",\\n \\\"content\\\": \\\"Game Results for Round 3:\\\\n\\\\nAverage Number Chosen: 21\\\\nTarget Number (2/3 of Average): 14.00\\\\nWinning Number: 15.\\\\n\\\\nYou chose:\\\"\\n },\\n {\\n \\\"role\\\": \\\"assistant\\\",\\n \\\"content\\\": \\\"{\\\\\\\"chosen_number\\\\\\\": \\\\\\\"25\\\\\\\"}\\\"\\n },\\n {\\n \\\"role\\\": \\\"user\\\",\\n \\\"content\\\": \\\"Unfortunately you lost.\\\"\\n },\\n {\\n \\\"role\\\": \\\"user\\\",\\n \\\"content\\\": \\\"Game Results for Round 4:\\\\n\\\\nAverage Number Chosen: 15.5\\\\nTarget Number (2/3 of Average): 10.33\\\\nWinning Number: 12.\\\\n\\\\nYou chose:\\\"\\n },\\n {\\n \\\"role\\\": \\\"assistant\\\",\\n \\\"content\\\": \\\"{\\\\\\\"chosen_number\\\\\\\": \\\\\\\"20\\\\\\\"}\\\"\\n },\\n {\\n \\\"role\\\": \\\"user\\\",\\n \\\"content\\\": \\\"Unfortunately you lost.\\\"\\n },\\n {\\n \\\"role\\\": \\\"user\\\",\\n \\\"content\\\": \\\"Game Results for Round 5:\\\\n\\\\nAverage Number Chosen: 11.6\\\\nTarget Number (2/3 of Average): 7.73\\\\nWinning Number: 9.\\\\n\\\\nYou chose:\\\"\\n },\\n {\\n \\\"role\\\": \\\"assistant\\\",\\n \\\"content\\\": \\\"{\\\\\\\"chosen_number\\\\\\\": \\\\\\\"15\\\\\\\"}\\\"\\n },\\n {\\n \\\"role\\\": \\\"user\\\",\\n \\\"content\\\": \\\"Unfortunately you lost.\\\"\\n },\\n {\\n \\\"role\\\": \\\"user\\\",\\n \\\"content\\\": \\\"Game Results for Round 6:\\\\n\\\\nAverage Number Chosen: 8.7\\\\nTarget Number (2/3 of Average): 5.80\\\\nWinning Number: 7.\\\\n\\\\nYou chose:\\\"\\n },\\n {\\n \\\"role\\\": \\\"assistant\\\",\\n \\\"content\\\": \\\"{\\\\\\\"chosen_number\\\\\\\": \\\\\\\"10\\\\\\\"}\\\"\\n },\\n {\\n \\\"role\\\": \\\"user\\\",\\n \\\"content\\\": \\\"Unfortunately you lost.\\\"\\n },\\n {\\n \\\"role\\\": \\\"user\\\",\\n \\\"content\\\": \\\"Game Results for Round 7:\\\\n\\\\nAverage Number Chosen: 6.8\\\\nTarget Number (2/3 of Average): 4.53\\\\nWinning Number: 6.\\\\n\\\\nYou chose:\\\"\\n },\\n {\\n \\\"role\\\": \\\"assistant\\\",\\n \\\"content\\\": \\\"{\\\\\\\"chosen_number\\\\\\\": \\\\\\\"8\\\\\\\"}\\\"\\n },\\n {\\n \\\"role\\\": \\\"user\\\",\\n \\\"content\\\": \\\"Unfortunately you lost.\\\"\\n },\\n {\\n \\\"role\\\": \\\"user\\\",\\n \\\"content\\\": \\\"Game Results for Round 8:\\\\n\\\\nAverage Number Chosen: 5.5\\\\nTarget Number (2/3 of Average): 3.67\\\\nWinning Number: 4.\\\\n\\\\nYou chose:\\\"\\n },\\n {\\n \\\"role\\\": \\\"assistant\\\",\\n \\\"content\\\": \\\"{\\\\\\\"chosen_number\\\\\\\": \\\\\\\"6\\\\\\\"}\\\"\\n },\\n {\\n \\\"role\\\": \\\"user\\\",\\n \\\"content\\\": \\\"Unfortunately you lost.\\\"\\n },\\n {\\n \\\"role\\\": \\\"user\\\",\\n \\\"content\\\": \\\"Game Results for Round 9:\\\\n\\\\nAverage Number Chosen: 4.2\\\\nTarget Number (2/3 of Average): 2.80\\\\nWinning Number: 3.\\\\n\\\\nYou chose:\\\"\\n },\\n {\\n \\\"role\\\": \\\"assistant\\\",\\n \\\"content\\\": \\\"{\\\\\\\"chosen_number\\\\\\\": \\\\\\\"5\\\\\\\"}\\\"\\n },\\n {\\n \\\"role\\\": \\\"user\\\",\\n \\\"content\\\": \\\"Unfortunately you lost.\\\"\\n },\\n {\\n \\\"role\\\": \\\"user\\\",\\n \\\"content\\\": \\\"Game Results for Round 10:\\\\n\\\\nAverage Number Chosen: 3.2\\\\nTarget Number (2/3 of Average): 2.13\\\\nWinning Number: 2.\\\\n\\\\nYou chose:\\\"\\n },\\n {\\n \\\"role\\\": \\\"assistant\\\",\\n \\\"content\\\": \\\"{\\\\\\\"chosen_number\\\\\\\": \\\\\\\"4\\\\\\\"}\\\"\\n },\\n {\\n \\\"role\\\": \\\"user\\\",\\n \\\"content\\\": \\\"Unfortunately you lost.\\\"\\n },\\n {\\n \\\"role\\\": \\\"user\\\",\\n \\\"content\\\": \\\"Game Results for Round 11:\\\\n\\\\nAverage Number Chosen: 2.3\\\\nTarget Number (2/3 of Average): 1.53\\\\nWinning Number: 2.\\\\n\\\\nYou chose:\\\"\\n },\\n {\\n \\\"role\\\": \\\"assistant\\\",\\n \\\"content\\\": \\\"{\\\\\\\"chosen_number\\\\\\\": \\\\\\\"3\\\\\\\"}\\\"\\n },\\n {\\n \\\"role\\\": \\\"user\\\",\\n \\\"content\\\": \\\"Unfortunately you lost.\\\"\\n },\\n {\\n \\\"role\\\": \\\"user\\\",\\n \\\"content\\\": \\\"Game Results for Round 12:\\\\n\\\\nAverage Number Chosen: 2.1\\\\nTarget Number (2/3 of Average): 1.40\\\\nWinning Number: 2.\\\\n\\\\nYou chose:\\\"\\n },\\n {\\n \\\"role\\\": \\\"assistant\\\",\\n \\\"content\\\": \\\"{\\\\\\\"chosen_number\\\\\\\": \\\\\\\"2\\\\\\\"}\\\"\\n },\\n {\\n \\\"role\\\": \\\"user\\\",\\n \\\"content\\\": \\\"Congratulation you won.\\\"\\n },\\n {\\n \\\"role\\\": \\\"user\\\",\\n \\\"content\\\": \\\"Game Results for Round 13:\\\\n\\\\nAverage Number Chosen: 2\\\\nTarget Number (2/3 of Average): 1.33\\\\nWinning Number: 2.\\\\n\\\\nYou chose:\\\"\\n },\\n {\\n \\\"role\\\": \\\"assistant\\\",\\n \\\"content\\\": \\\"{\\\\\\\"chosen_number\\\\\\\": \\\\\\\"2\\\\\\\"}\\\"\\n },\\n {\\n \\\"role\\\": \\\"user\\\",\\n \\\"content\\\": \\\"Congratulation you won.\\\"\\n },\\n {\\n \\\"role\\\": \\\"user\\\",\\n \\\"content\\\": \\\"Game Results for Round 14:\\\\n\\\\nAverage Number Chosen: 2\\\\nTarget Number (2/3 of Average): 1.33\\\\nWinning Number: 2.\\\\n\\\\nYou chose:\\\"\\n },\\n {\\n \\\"role\\\": \\\"assistant\\\",\\n \\\"content\\\": \\\"{\\\\\\\"chosen_number\\\\\\\": \\\\\\\"2\\\\\\\"}\\\"\\n },\\n {\\n \\\"role\\\": \\\"user\\\",\\n \\\"content\\\": \\\"Congratulation you won.\\\"\\n },\\n {\\n \\\"role\\\": \\\"user\\\",\\n \\\"content\\\": \\\"Game Results for Round 15:\\\\n\\\\nAverage Number Chosen: 2\\\\nTarget Number (2/3 of Average): 1.33\\\\nWinning Number: 2.\\\\n\\\\nYou chose:\\\"\\n },\\n {\\n \\\"role\\\": \\\"assistant\\\",\\n \\\"content\\\": \\\"{\\\\\\\"chosen_number\\\\\\\": \\\\\\\"2\\\\\\\"}\\\"\\n },\\n {\\n \\\"role\\\": \\\"user\\\",\\n \\\"content\\\": \\\"Congratulation you won.\\\"\\n },\\n {\\n \\\"role\\\": \\\"user\\\",\\n \\\"content\\\": \\\"Game Results for Round 16:\\\\n\\\\nAverage Number Chosen: 2\\\\nTarget Number (2/3 of Average): 1.33\\\\nWinning Number: 2.\\\\n\\\\nYou chose:\\\"\\n },\\n {\\n \\\"role\\\": \\\"assistant\\\",\\n \\\"content\\\": \\\"{\\\\\\\"chosen_number\\\\\\\": \\\\\\\"2\\\\\\\"}\\\"\\n },\\n {\\n \\\"role\\\": \\\"user\\\",\\n \\\"content\\\": \\\"Congratulation you won.\\\"\\n },\\n {\\n \\\"role\\\": \\\"user\\\",\\n \\\"content\\\": \\\"Game Results for Round 17:\\\\n\\\\nAverage Number Chosen: 2\\\\nTarget Number (2/3 of Average): 1.33\\\\nWinning Number: 2.\\\\n\\\\nYou chose:\\\"\\n },\\n {\\n \\\"role\\\": \\\"assistant\\\",\\n \\\"content\\\": \\\"{\\\\\\\"chosen_number\\\\\\\": \\\\\\\"2\\\\\\\"}\\\"\\n },\\n {\\n \\\"role\\\": \\\"user\\\",\\n \\\"content\\\": \\\"Congratulation you won.\\\"\\n },\\n {\\n \\\"role\\\": \\\"user\\\",\\n \\\"content\\\": \\\"Game Results for Round 18:\\\\n\\\\nAverage Number Chosen: 2\\\\nTarget Number (2/3 of Average): 1.33\\\\nWinning Number: 2.\\\\n\\\\nYou chose:\\\"\\n },\\n {\\n \\\"role\\\": \\\"assistant\\\",\\n \\\"content\\\": \\\"{\\\\\\\"chosen_number\\\\\\\": \\\\\\\"2\\\\\\\"}\\\"\\n },\\n {\\n \\\"role\\\": \\\"user\\\",\\n \\\"content\\\": \\\"Congratulation you won.\\\"\\n },\\n {\\n \\\"role\\\": \\\"user\\\",\\n \\\"content\\\": \\\"Game Results for Round 19:\\\\n\\\\nAverage Number Chosen: 2\\\\nTarget Number (2/3 of Average): 1.33\\\\nWinning Number: 2.\\\\n\\\\nYou chose:\\\"\\n },\\n {\\n \\\"role\\\": \\\"assistant\\\",\\n \\\"content\\\": \\\"{\\\\\\\"chosen_number\\\\\\\": \\\\\\\"2\\\\\\\"}\\\"\\n },\\n {\\n \\\"role\\\": \\\"user\\\",\\n \\\"content\\\": \\\"Congratulation you won.\\\"\\n },\\n {\\n \\\"role\\\": \\\"user\\\",\\n \\\"content\\\": \\\"Game Results for Round 20:\\\\n\\\\nAverage Number Chosen: 2\\\\nTarget Number (2/3 of Average): 1.33\\\\nWinning Number: 2.\\\\n\\\\nYou chose:\\\"\\n },\\n {\\n \\\"role\\\": \\\"assistant\\\",\\n \\\"content\\\": \\\"{\\\\\\\"chosen_number\\\\\\\": \\\\\\\"2\\\\\\\"}\\\"\\n },\\n {\\n \\\"role\\\": \\\"user\\\",\\n \\\"content\\\": \\\"Congratulation you won.\\\"\\n }\\n ],\\n \\\"records\\\": [\\n 50,\\n 30,\\n 25,\\n 20,\\n 15,\\n 10,\\n 8,\\n 6,\\n 5,\\n 4,\\n 3,\\n 2,\\n 2,\\n 2,\\n 2,\\n 2,\\n 2,\\n 2,\\n 2,\\n 2\\n ],\\n \\\"utility\\\": []\\n },\\n {\\n \\\"model\\\": \\\"Qwen/Qwen2-72B-Instruct\\\",\\n \\\"id\\\": \\\"player_9\\\",\\n \\\"prompt\\\": [\\n {\\n \\\"role\\\": \\\"system\\\",\\n \\\"content\\\": \\\"\\\\n\\\\nYou are participating in a game played by 10 players over 20 rounds.\\\\n\\\\nGame Rules:\\\\n\\\\n1. Each player selects an integer number between 0 and 100, inclusive.\\\\n2. After all selections are made, the average of all chosen numbers is calculated.\\\\n3. The target number is 2/3 of this average.\\\\n4. The winner is the player(s) who selected a number closest to the target number.\\\"\\n },\\n {\\n \\\"role\\\": \\\"user\\\",\\n \\\"content\\\": \\\"Game Results for Round 1:\\\\n\\\\nAverage Number Chosen: 48\\\\nTarget Number (2/3 of Average): 32.00\\\\nWinning Number: 33.\\\\n\\\\nYou chose:\\\"\\n },\\n {\\n \\\"role\\\": \\\"assistant\\\",\\n \\\"content\\\": \\\"{\\\\\\\"chosen_number\\\\\\\": \\\\\\\"33\\\\\\\"}\\\"\\n },\\n {\\n \\\"role\\\": \\\"user\\\",\\n \\\"content\\\": \\\"Congratulation you won.\\\"\\n },\\n {\\n \\\"role\\\": \\\"user\\\",\\n \\\"content\\\": \\\"Game Results for Round 2:\\\\n\\\\nAverage Number Chosen: 31.1\\\\nTarget Number (2/3 of Average): 20.73\\\\nWinning Number: 21.\\\\n\\\\nYou chose:\\\"\\n },\\n {\\n \\\"role\\\": \\\"assistant\\\",\\n \\\"content\\\": \\\"{\\\\\\\"chosen_number\\\\\\\": \\\\\\\"22\\\\\\\"}\\\"\\n },\\n {\\n \\\"role\\\": \\\"user\\\",\\n \\\"content\\\": \\\"Unfortunately you lost.\\\"\\n },\\n {\\n \\\"role\\\": \\\"user\\\",\\n \\\"content\\\": \\\"Game Results for Round 3:\\\\n\\\\nAverage Number Chosen: 21\\\\nTarget Number (2/3 of Average): 14.00\\\\nWinning Number: 15.\\\\n\\\\nYou chose:\\\"\\n },\\n {\\n \\\"role\\\": \\\"assistant\\\",\\n \\\"content\\\": \\\"{\\\\\\\"chosen_number\\\\\\\": \\\\\\\"15\\\\\\\"}\\\"\\n },\\n {\\n \\\"role\\\": \\\"user\\\",\\n \\\"content\\\": \\\"Congratulation you won.\\\"\\n },\\n {\\n \\\"role\\\": \\\"user\\\",\\n \\\"content\\\": \\\"Game Results for Round 4:\\\\n\\\\nAverage Number Chosen: 15.5\\\\nTarget Number (2/3 of Average): 10.33\\\\nWinning Number: 12.\\\\n\\\\nYou chose:\\\"\\n },\\n {\\n \\\"role\\\": \\\"assistant\\\",\\n \\\"content\\\": \\\"{\\\\\\\"chosen_number\\\\\\\": \\\\\\\"12\\\\\\\"}\\\"\\n },\\n {\\n \\\"role\\\": \\\"user\\\",\\n \\\"content\\\": \\\"Congratulation you won.\\\"\\n },\\n {\\n \\\"role\\\": \\\"user\\\",\\n \\\"content\\\": \\\"Game Results for Round 5:\\\\n\\\\nAverage Number Chosen: 11.6\\\\nTarget Number (2/3 of Average): 7.73\\\\nWinning Number: 9.\\\\n\\\\nYou chose:\\\"\\n },\\n {\\n \\\"role\\\": \\\"assistant\\\",\\n \\\"content\\\": \\\"{\\\\\\\"chosen_number\\\\\\\": \\\\\\\"10\\\\\\\"}\\\"\\n },\\n {\\n \\\"role\\\": \\\"user\\\",\\n \\\"content\\\": \\\"Unfortunately you lost.\\\"\\n },\\n {\\n \\\"role\\\": \\\"user\\\",\\n \\\"content\\\": \\\"Game Results for Round 6:\\\\n\\\\nAverage Number Chosen: 8.7\\\\nTarget Number (2/3 of Average): 5.80\\\\nWinning Number: 7.\\\\n\\\\nYou chose:\\\"\\n },\\n {\\n \\\"role\\\": \\\"assistant\\\",\\n \\\"content\\\": \\\"{\\\\\\\"chosen_number\\\\\\\": \\\\\\\"8\\\\\\\"}\\\"\\n },\\n {\\n \\\"role\\\": \\\"user\\\",\\n \\\"content\\\": \\\"Unfortunately you lost.\\\"\\n },\\n {\\n \\\"role\\\": \\\"user\\\",\\n \\\"content\\\": \\\"Game Results for Round 7:\\\\n\\\\nAverage Number Chosen: 6.8\\\\nTarget Number (2/3 of Average): 4.53\\\\nWinning Number: 6.\\\\n\\\\nYou chose:\\\"\\n },\\n {\\n \\\"role\\\": \\\"assistant\\\",\\n \\\"content\\\": \\\"{\\\\\\\"chosen_number\\\\\\\": \\\\\\\"6\\\\\\\"}\\\"\\n },\\n {\\n \\\"role\\\": \\\"user\\\",\\n \\\"content\\\": \\\"Congratulation you won.\\\"\\n },\\n {\\n \\\"role\\\": \\\"user\\\",\\n \\\"content\\\": \\\"Game Results for Round 8:\\\\n\\\\nAverage Number Chosen: 5.5\\\\nTarget Number (2/3 of Average): 3.67\\\\nWinning Number: 4.\\\\n\\\\nYou chose:\\\"\\n },\\n {\\n \\\"role\\\": \\\"assistant\\\",\\n \\\"content\\\": \\\"{\\\\\\\"chosen_number\\\\\\\": \\\\\\\"5\\\\\\\"}\\\"\\n },\\n {\\n \\\"role\\\": \\\"user\\\",\\n \\\"content\\\": \\\"Unfortunately you lost.\\\"\\n },\\n {\\n \\\"role\\\": \\\"user\\\",\\n \\\"content\\\": \\\"Game Results for Round 9:\\\\n\\\\nAverage Number Chosen: 4.2\\\\nTarget Number (2/3 of Average): 2.80\\\\nWinning Number: 3.\\\\n\\\\nYou chose:\\\"\\n },\\n {\\n \\\"role\\\": \\\"assistant\\\",\\n \\\"content\\\": \\\"{\\\\\\\"chosen_number\\\\\\\": \\\\\\\"4\\\\\\\"}\\\"\\n },\\n {\\n \\\"role\\\": \\\"user\\\",\\n \\\"content\\\": \\\"Unfortunately you lost.\\\"\\n },\\n {\\n \\\"role\\\": \\\"user\\\",\\n \\\"content\\\": \\\"Game Results for Round 10:\\\\n\\\\nAverage Number Chosen: 3.2\\\\nTarget Number (2/3 of Average): 2.13\\\\nWinning Number: 2.\\\\n\\\\nYou chose:\\\"\\n },\\n {\\n \\\"role\\\": \\\"assistant\\\",\\n \\\"content\\\": \\\"{\\\\\\\"chosen_number\\\\\\\": \\\\\\\"3\\\\\\\"}\\\"\\n },\\n {\\n \\\"role\\\": \\\"user\\\",\\n \\\"content\\\": \\\"Unfortunately you lost.\\\"\\n },\\n {\\n \\\"role\\\": \\\"user\\\",\\n \\\"content\\\": \\\"Game Results for Round 11:\\\\n\\\\nAverage Number Chosen: 2.3\\\\nTarget Number (2/3 of Average): 1.53\\\\nWinning Number: 2.\\\\n\\\\nYou chose:\\\"\\n },\\n {\\n \\\"role\\\": \\\"assistant\\\",\\n \\\"content\\\": \\\"{\\\\\\\"chosen_number\\\\\\\": \\\\\\\"2\\\\\\\"}\\\"\\n },\\n {\\n \\\"role\\\": \\\"user\\\",\\n \\\"content\\\": \\\"Congratulation you won.\\\"\\n },\\n {\\n \\\"role\\\": \\\"user\\\",\\n \\\"content\\\": \\\"Game Results for Round 12:\\\\n\\\\nAverage Number Chosen: 2.1\\\\nTarget Number (2/3 of Average): 1.40\\\\nWinning Number: 2.\\\\n\\\\nYou chose:\\\"\\n },\\n {\\n \\\"role\\\": \\\"assistant\\\",\\n \\\"content\\\": \\\"{\\\\\\\"chosen_number\\\\\\\": \\\\\\\"2\\\\\\\"}\\\"\\n },\\n {\\n \\\"role\\\": \\\"user\\\",\\n \\\"content\\\": \\\"Congratulation you won.\\\"\\n },\\n {\\n \\\"role\\\": \\\"user\\\",\\n \\\"content\\\": \\\"Game Results for Round 13:\\\\n\\\\nAverage Number Chosen: 2\\\\nTarget Number (2/3 of Average): 1.33\\\\nWinning Number: 2.\\\\n\\\\nYou chose:\\\"\\n },\\n {\\n \\\"role\\\": \\\"assistant\\\",\\n \\\"content\\\": \\\"{\\\\\\\"chosen_number\\\\\\\": \\\\\\\"2\\\\\\\"}\\\"\\n },\\n {\\n \\\"role\\\": \\\"user\\\",\\n \\\"content\\\": \\\"Congratulation you won.\\\"\\n },\\n {\\n \\\"role\\\": \\\"user\\\",\\n \\\"content\\\": \\\"Game Results for Round 14:\\\\n\\\\nAverage Number Chosen: 2\\\\nTarget Number (2/3 of Average): 1.33\\\\nWinning Number: 2.\\\\n\\\\nYou chose:\\\"\\n },\\n {\\n \\\"role\\\": \\\"assistant\\\",\\n \\\"content\\\": \\\"{\\\\\\\"chosen_number\\\\\\\": \\\\\\\"2\\\\\\\"}\\\"\\n },\\n {\\n \\\"role\\\": \\\"user\\\",\\n \\\"content\\\": \\\"Congratulation you won.\\\"\\n },\\n {\\n \\\"role\\\": \\\"user\\\",\\n \\\"content\\\": \\\"Game Results for Round 15:\\\\n\\\\nAverage Number Chosen: 2\\\\nTarget Number (2/3 of Average): 1.33\\\\nWinning Number: 2.\\\\n\\\\nYou chose:\\\"\\n },\\n {\\n \\\"role\\\": \\\"assistant\\\",\\n \\\"content\\\": \\\"{\\\\\\\"chosen_number\\\\\\\": \\\\\\\"2\\\\\\\"}\\\"\\n },\\n {\\n \\\"role\\\": \\\"user\\\",\\n \\\"content\\\": \\\"Congratulation you won.\\\"\\n },\\n {\\n \\\"role\\\": \\\"user\\\",\\n \\\"content\\\": \\\"Game Results for Round 16:\\\\n\\\\nAverage Number Chosen: 2\\\\nTarget Number (2/3 of Average): 1.33\\\\nWinning Number: 2.\\\\n\\\\nYou chose:\\\"\\n },\\n {\\n \\\"role\\\": \\\"assistant\\\",\\n \\\"content\\\": \\\"{\\\\\\\"chosen_number\\\\\\\": \\\\\\\"2\\\\\\\"}\\\"\\n },\\n {\\n \\\"role\\\": \\\"user\\\",\\n \\\"content\\\": \\\"Congratulation you won.\\\"\\n },\\n {\\n \\\"role\\\": \\\"user\\\",\\n \\\"content\\\": \\\"Game Results for Round 17:\\\\n\\\\nAverage Number Chosen: 2\\\\nTarget Number (2/3 of Average): 1.33\\\\nWinning Number: 2.\\\\n\\\\nYou chose:\\\"\\n },\\n {\\n \\\"role\\\": \\\"assistant\\\",\\n \\\"content\\\": \\\"{\\\\\\\"chosen_number\\\\\\\": \\\\\\\"2\\\\\\\"}\\\"\\n },\\n {\\n \\\"role\\\": \\\"user\\\",\\n \\\"content\\\": \\\"Congratulation you won.\\\"\\n },\\n {\\n \\\"role\\\": \\\"user\\\",\\n \\\"content\\\": \\\"Game Results for Round 18:\\\\n\\\\nAverage Number Chosen: 2\\\\nTarget Number (2/3 of Average): 1.33\\\\nWinning Number: 2.\\\\n\\\\nYou chose:\\\"\\n },\\n {\\n \\\"role\\\": \\\"assistant\\\",\\n \\\"content\\\": \\\"{\\\\\\\"chosen_number\\\\\\\": \\\\\\\"2\\\\\\\"}\\\"\\n },\\n {\\n \\\"role\\\": \\\"user\\\",\\n \\\"content\\\": \\\"Congratulation you won.\\\"\\n },\\n {\\n \\\"role\\\": \\\"user\\\",\\n \\\"content\\\": \\\"Game Results for Round 19:\\\\n\\\\nAverage Number Chosen: 2\\\\nTarget Number (2/3 of Average): 1.33\\\\nWinning Number: 2.\\\\n\\\\nYou chose:\\\"\\n },\\n {\\n \\\"role\\\": \\\"assistant\\\",\\n \\\"content\\\": \\\"{\\\\\\\"chosen_number\\\\\\\": \\\\\\\"2\\\\\\\"}\\\"\\n },\\n {\\n \\\"role\\\": \\\"user\\\",\\n \\\"content\\\": \\\"Congratulation you won.\\\"\\n },\\n {\\n \\\"role\\\": \\\"user\\\",\\n \\\"content\\\": \\\"Game Results for Round 20:\\\\n\\\\nAverage Number Chosen: 2\\\\nTarget Number (2/3 of Average): 1.33\\\\nWinning Number: 2.\\\\n\\\\nYou chose:\\\"\\n },\\n {\\n \\\"role\\\": \\\"assistant\\\",\\n \\\"content\\\": \\\"{\\\\\\\"chosen_number\\\\\\\": \\\\\\\"2\\\\\\\"}\\\"\\n },\\n {\\n \\\"role\\\": \\\"user\\\",\\n \\\"content\\\": \\\"Congratulation you won.\\\"\\n }\\n ],\\n \\\"records\\\": [\\n 33,\\n 22,\\n 15,\\n 12,\\n 10,\\n 8,\\n 6,\\n 5,\\n 4,\\n 3,\\n 2,\\n 2,\\n 2,\\n 2,\\n 2,\\n 2,\\n 2,\\n 2,\\n 2,\\n 2\\n ],\\n \\\"utility\\\": []\\n }\\n ]\\n}\",\"difficulty\":\"easy\",\"domain\":\"Long-dialogue History Understanding\",\"length\":\"short\",\"question\":\"Which player won the most times in the game?\",\"sub_domain\":\"Agent history QA\"}","display_format":"text","language":"","answer_status":"published","assets":[],"source_url":"https://huggingface.co/datasets/zai-org/LongBench-v2","history":"initial import","indexing_mode":"noindex","subproblems":[],"grids":[]}