precomputed/dataset.json

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    "optimal_score": 2.554
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  {
    "id": "s10",
    "description": "Task 10: choose the 3 most useful tools from 8 candidates (small pool).",
    "tier": "small",
    "n_tools": 8,
    "k": 3,
    "tools": [
      {
        "index": 0,
        "name": "tool_00"
      },
      {
        "index": 1,
        "name": "tool_01"
      },
      {
        "index": 2,
        "name": "tool_02"
      },
      {
        "index": 3,
        "name": "tool_03"
      },
      {
        "index": 4,
        "name": "tool_04"
      },
      {
        "index": 5,
        "name": "tool_05"
      },
      {
        "index": 6,
        "name": "tool_06"
      },
      {
        "index": 7,
        "name": "tool_07"
      }
    ],
    "weights": [
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      0.135,
      0.147,
      0.371,
      0.56,
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    "synergy": [
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    "optimal_score": 3.258
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    "id": "s11",
    "description": "Task 11: choose the 3 most useful tools from 8 candidates (small pool).",
    "tier": "small",
    "n_tools": 8,
    "k": 3,
    "tools": [
      {
        "index": 0,
        "name": "tool_00"
      },
      {
        "index": 1,
        "name": "tool_01"
      },
      {
        "index": 2,
        "name": "tool_02"
      },
      {
        "index": 3,
        "name": "tool_03"
      },
      {
        "index": 4,
        "name": "tool_04"
      },
      {
        "index": 5,
        "name": "tool_05"
      },
      {
        "index": 6,
        "name": "tool_06"
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      {
        "index": 7,
        "name": "tool_07"
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    ],
    "weights": [
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      0.501,
      0.519,
      0.507,
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    "synergy": [
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    "optimal_score": 2.323
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  {
    "id": "s12",
    "description": "Task 12: choose the 3 most useful tools from 8 candidates (small pool).",
    "tier": "small",
    "n_tools": 8,
    "k": 3,
    "tools": [
      {
        "index": 0,
        "name": "tool_00"
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      {
        "index": 1,
        "name": "tool_01"
      },
      {
        "index": 2,
        "name": "tool_02"
      },
      {
        "index": 3,
        "name": "tool_03"
      },
      {
        "index": 4,
        "name": "tool_04"
      },
      {
        "index": 5,
        "name": "tool_05"
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      {
        "index": 6,
        "name": "tool_06"
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      {
        "index": 7,
        "name": "tool_07"
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    ],
    "weights": [
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      0.718,
      0.698,
      0.058,
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    "synergy": [
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    "optimal_score": 2.566
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  {
    "id": "s13",
    "description": "Task 13: choose the 3 most useful tools from 8 candidates (small pool).",
    "tier": "small",
    "n_tools": 8,
    "k": 3,
    "tools": [
      {
        "index": 0,
        "name": "tool_00"
      },
      {
        "index": 1,
        "name": "tool_01"
      },
      {
        "index": 2,
        "name": "tool_02"
      },
      {
        "index": 3,
        "name": "tool_03"
      },
      {
        "index": 4,
        "name": "tool_04"
      },
      {
        "index": 5,
        "name": "tool_05"
      },
      {
        "index": 6,
        "name": "tool_06"
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      {
        "index": 7,
        "name": "tool_07"
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    ],
    "weights": [
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      0.323,
      0.248,
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    "synergy": [
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        0.0,
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  {
    "id": "s14",
    "description": "Task 14: choose the 3 most useful tools from 8 candidates (small pool).",
    "tier": "small",
    "n_tools": 8,
    "k": 3,
    "tools": [
      {
        "index": 0,
        "name": "tool_00"
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      {
        "index": 1,
        "name": "tool_01"
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      {
        "index": 2,
        "name": "tool_02"
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      {
        "index": 3,
        "name": "tool_03"
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      {
        "index": 4,
        "name": "tool_04"
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      {
        "index": 5,
        "name": "tool_05"
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      {
        "index": 6,
        "name": "tool_06"
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      {
        "index": 7,
        "name": "tool_07"
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    ],
    "weights": [
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      0.74,
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    "synergy": [
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    "optimal_score": 3.044
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  {
    "id": "s15",
    "description": "Task 15: choose the 3 most useful tools from 8 candidates (small pool).",
    "tier": "small",
    "n_tools": 8,
    "k": 3,
    "tools": [
      {
        "index": 0,
        "name": "tool_00"
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      {
        "index": 1,
        "name": "tool_01"
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      {
        "index": 2,
        "name": "tool_02"
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      {
        "index": 3,
        "name": "tool_03"
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      {
        "index": 4,
        "name": "tool_04"
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      {
        "index": 5,
        "name": "tool_05"
      },
      {
        "index": 6,
        "name": "tool_06"
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      {
        "index": 7,
        "name": "tool_07"
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    ],
    "weights": [
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    "synergy": [
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  {
    "id": "s16",
    "description": "Task 16: choose the 3 most useful tools from 8 candidates (small pool).",
    "tier": "small",
    "n_tools": 8,
    "k": 3,
    "tools": [
      {
        "index": 0,
        "name": "tool_00"
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      {
        "index": 1,
        "name": "tool_01"
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      {
        "index": 2,
        "name": "tool_02"
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      {
        "index": 3,
        "name": "tool_03"
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      {
        "index": 4,
        "name": "tool_04"
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      {
        "index": 5,
        "name": "tool_05"
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      {
        "index": 6,
        "name": "tool_06"
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      {
        "index": 7,
        "name": "tool_07"
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    ],
    "weights": [
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    "synergy": [
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  {
    "id": "s17",
    "description": "Task 17: choose the 3 most useful tools from 8 candidates (small pool).",
    "tier": "small",
    "n_tools": 8,
    "k": 3,
    "tools": [
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        "index": 0,
        "name": "tool_00"
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      {
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      {
        "index": 4,
        "name": "tool_04"
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        "index": 5,
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      {
        "index": 6,
        "name": "tool_06"
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        "name": "tool_07"
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    "weights": [
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  {
    "id": "s18",
    "description": "Task 18: choose the 3 most useful tools from 8 candidates (small pool).",
    "tier": "small",
    "n_tools": 8,
    "k": 3,
    "tools": [
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        0.0
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      4,
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    "optimal_score": 2.528
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  {
    "id": "s19",
    "description": "Task 19: choose the 3 most useful tools from 8 candidates (small pool).",
    "tier": "small",
    "n_tools": 8,
    "k": 3,
    "tools": [
      {
        "index": 0,
        "name": "tool_00"
      },
      {
        "index": 1,
        "name": "tool_01"
      },
      {
        "index": 2,
        "name": "tool_02"
      },
      {
        "index": 3,
        "name": "tool_03"
      },
      {
        "index": 4,
        "name": "tool_04"
      },
      {
        "index": 5,
        "name": "tool_05"
      },
      {
        "index": 6,
        "name": "tool_06"
      },
      {
        "index": 7,
        "name": "tool_07"
      }
    ],
    "weights": [
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      0.738,
      0.286,
      0.887,
      0.559,
      0.622,
      0.285,
      0.607
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    "synergy": [
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        0.0,
        -0.328,
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    "optimal_score": 3.585
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  {
    "id": "s20",
    "description": "Task 20: choose the 3 most useful tools from 8 candidates (small pool).",
    "tier": "small",
    "n_tools": 8,
    "k": 3,
    "tools": [
      {
        "index": 0,
        "name": "tool_00"
      },
      {
        "index": 1,
        "name": "tool_01"
      },
      {
        "index": 2,
        "name": "tool_02"
      },
      {
        "index": 3,
        "name": "tool_03"
      },
      {
        "index": 4,
        "name": "tool_04"
      },
      {
        "index": 5,
        "name": "tool_05"
      },
      {
        "index": 6,
        "name": "tool_06"
      },
      {
        "index": 7,
        "name": "tool_07"
      }
    ],
    "weights": [
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      0.816,
      0.472,
      0.715,
      0.646,
      0.315,
      0.077,
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    "synergy": [
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        0.0,
        0.0,
        0.0,
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    "optimal_score": 2.473
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  {
    "id": "s21",
    "description": "Task 21: choose the 3 most useful tools from 8 candidates (small pool).",
    "tier": "small",
    "n_tools": 8,
    "k": 3,
    "tools": [
      {
        "index": 0,
        "name": "tool_00"
      },
      {
        "index": 1,
        "name": "tool_01"
      },
      {
        "index": 2,
        "name": "tool_02"
      },
      {
        "index": 3,
        "name": "tool_03"
      },
      {
        "index": 4,
        "name": "tool_04"
      },
      {
        "index": 5,
        "name": "tool_05"
      },
      {
        "index": 6,
        "name": "tool_06"
      },
      {
        "index": 7,
        "name": "tool_07"
      }
    ],
    "weights": [
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      0.379,
      0.631,
      0.435,
      0.587,
      0.292,
      0.067
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    "synergy": [
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        0.0,
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    "optimal_score": 2.795
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  {
    "id": "s22",
    "description": "Task 22: choose the 3 most useful tools from 8 candidates (small pool).",
    "tier": "small",
    "n_tools": 8,
    "k": 3,
    "tools": [
      {
        "index": 0,
        "name": "tool_00"
      },
      {
        "index": 1,
        "name": "tool_01"
      },
      {
        "index": 2,
        "name": "tool_02"
      },
      {
        "index": 3,
        "name": "tool_03"
      },
      {
        "index": 4,
        "name": "tool_04"
      },
      {
        "index": 5,
        "name": "tool_05"
      },
      {
        "index": 6,
        "name": "tool_06"
      },
      {
        "index": 7,
        "name": "tool_07"
      }
    ],
    "weights": [
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      0.376,
      0.949,
      0.287,
      0.174,
      0.128,
      0.247,
      0.171
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    "synergy": [
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    "optimal_score": 2.871
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  {
    "id": "s23",
    "description": "Task 23: choose the 3 most useful tools from 8 candidates (small pool).",
    "tier": "small",
    "n_tools": 8,
    "k": 3,
    "tools": [
      {
        "index": 0,
        "name": "tool_00"
      },
      {
        "index": 1,
        "name": "tool_01"
      },
      {
        "index": 2,
        "name": "tool_02"
      },
      {
        "index": 3,
        "name": "tool_03"
      },
      {
        "index": 4,
        "name": "tool_04"
      },
      {
        "index": 5,
        "name": "tool_05"
      },
      {
        "index": 6,
        "name": "tool_06"
      },
      {
        "index": 7,
        "name": "tool_07"
      }
    ],
    "weights": [
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      0.128,
      0.378,
      0.532,
      0.959,
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    "synergy": [
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        0.0,
        0.0,
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        0.0,
        0.0,
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    "optimal_score": 3.169
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  {
    "id": "s24",
    "description": "Task 24: choose the 3 most useful tools from 8 candidates (small pool).",
    "tier": "small",
    "n_tools": 8,
    "k": 3,
    "tools": [
      {
        "index": 0,
        "name": "tool_00"
      },
      {
        "index": 1,
        "name": "tool_01"
      },
      {
        "index": 2,
        "name": "tool_02"
      },
      {
        "index": 3,
        "name": "tool_03"
      },
      {
        "index": 4,
        "name": "tool_04"
      },
      {
        "index": 5,
        "name": "tool_05"
      },
      {
        "index": 6,
        "name": "tool_06"
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      {
        "index": 7,
        "name": "tool_07"
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    ],
    "weights": [
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      0.615,
      0.688,
      0.687,
      0.588,
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    "synergy": [
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  {
    "id": "s25",
    "description": "Task 25: choose the 3 most useful tools from 8 candidates (small pool).",
    "tier": "small",
    "n_tools": 8,
    "k": 3,
    "tools": [
      {
        "index": 0,
        "name": "tool_00"
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      {
        "index": 1,
        "name": "tool_01"
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      {
        "index": 2,
        "name": "tool_02"
      },
      {
        "index": 3,
        "name": "tool_03"
      },
      {
        "index": 4,
        "name": "tool_04"
      },
      {
        "index": 5,
        "name": "tool_05"
      },
      {
        "index": 6,
        "name": "tool_06"
      },
      {
        "index": 7,
        "name": "tool_07"
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    ],
    "weights": [
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    "synergy": [
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  {
    "id": "f01",
    "description": "Task 26: choose the 5 most useful tools from 16 candidates (full pool).",
    "tier": "full",
    "n_tools": 16,
    "k": 5,
    "tools": [
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        "name": "tool_00"
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      {
        "index": 7,
        "name": "tool_07"
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      {
        "index": 8,
        "name": "tool_08"
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      {
        "index": 9,
        "name": "tool_09"
      },
      {
        "index": 10,
        "name": "tool_10"
      },
      {
        "index": 11,
        "name": "tool_11"
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      {
        "index": 12,
        "name": "tool_12"
      },
      {
        "index": 13,
        "name": "tool_13"
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      {
        "index": 14,
        "name": "tool_14"
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        "name": "tool_15"
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    "description": "Task 27: choose the 5 most useful tools from 16 candidates (full pool).",
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    "n_tools": 16,
    "k": 5,
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    "description": "Task 28: choose the 5 most useful tools from 16 candidates (full pool).",
    "tier": "full",
    "n_tools": 16,
    "k": 5,
    "tools": [
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    "description": "Task 29: choose the 5 most useful tools from 16 candidates (full pool).",
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    "description": "Task 30: choose the 5 most useful tools from 16 candidates (full pool).",
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    "n_tools": 16,
    "k": 5,
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    "description": "Task 31: choose the 5 most useful tools from 16 candidates (full pool).",
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    "n_tools": 16,
    "k": 5,
    "tools": [
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    "description": "Task 33: choose the 5 most useful tools from 16 candidates (full pool).",
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    "n_tools": 16,
    "k": 5,
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    "description": "Task 34: choose the 5 most useful tools from 16 candidates (full pool).",
    "tier": "full",
    "n_tools": 16,
    "k": 5,
    "tools": [
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    "description": "Task 35: choose the 5 most useful tools from 16 candidates (full pool).",
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    "k": 5,
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    "description": "Task 37: choose the 5 most useful tools from 16 candidates (full pool).",
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    "k": 5,
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    "k": 5,
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      {
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        "name": "tool_12"
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    "description": "Task 43: choose the 5 most useful tools from 16 candidates (full pool).",
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    "n_tools": 16,
    "k": 5,
    "tools": [
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    "description": "Task 44: choose the 5 most useful tools from 16 candidates (full pool).",
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    "n_tools": 16,
    "k": 5,
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    "description": "Task 45: choose the 5 most useful tools from 16 candidates (full pool).",
    "tier": "full",
    "n_tools": 16,
    "k": 5,
    "tools": [
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