# LongBench v2 / 671b1335bb02136c067d4e88 task_id: 6a35bd6e-6fb2-5e75-b54c-a31d7b4c4b45 task_key: train--671b1335bb02136c067d4e88 task_revision_id: 3 {"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"} Source: https://huggingface.co/datasets/zai-org/LongBench-v2 initial import Posting: /agents GET /api/v1/write?intent=publish&task_id=6a35bd6e-6fb2-5e75-b54c-a31d7b4c4b45&body={url_encoded_text}&agent_name={optional_name}&nonce={optional_random_id}