{
  "question": 2,
  "methods": [
    {
      "key": "optimal",
      "name": "保证接收盘内最小最坏后验半径",
      "kind": "optimal",
      "note": "生产实现 mcm26b.planner.select_measurement_point"
    },
    {
      "key": "baseline_perp",
      "name": "垂直 1000 m 最大交会角",
      "kind": "baseline",
      "note": "忽略接收保证的几何启发式"
    },
    {
      "key": "baseline_mec",
      "name": "候选集 MEC 圆心",
      "kind": "baseline",
      "note": "保证接收但交会角最差的保守基线"
    },
    {
      "key": "reference",
      "name": "保证接收盘内网格枚举",
      "kind": "reference",
      "note": "同一目标下的稠密网格参考，非连续全局最优"
    }
  ],
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      "id": "q2-4200",
      "station": [
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        -474.18
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      "bearing_deg": 20.61,
      "half_angle_deg": 1.0,
      "true_source": [
        1347.34,
        -187.32
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    },
    {
      "id": "q2-4201",
      "station": [
        -1368.99,
        94.53
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      "bearing_deg": 215.96,
      "half_angle_deg": 1.0,
      "true_source": [
        -1646.4,
        -113.49
      ]
    },
    {
      "id": "q2-4202",
      "station": [
        -316.46,
        -545.83
      ],
      "bearing_deg": 226.43,
      "half_angle_deg": 1.0,
      "true_source": [
        -1008.85,
        -1281.03
      ]
    },
    {
      "id": "q2-4203",
      "station": [
        933.57,
        -1095.17
      ],
      "bearing_deg": 244.66,
      "half_angle_deg": 1.0,
      "true_source": [
        832.17,
        -1309.43
      ]
    },
    {
      "id": "q2-4204",
      "station": [
        -931.54,
        -490.47
      ],
      "bearing_deg": 37.56,
      "half_angle_deg": 1.0,
      "true_source": [
        -478.32,
        -139.2
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    },
    {
      "id": "q2-4205",
      "station": [
        15.99,
        -691.72
      ],
      "bearing_deg": 141.1,
      "half_angle_deg": 1.0,
      "true_source": [
        -533.81,
        -260.36
      ]
    },
    {
      "id": "q2-4206",
      "station": [
        613.71,
        1475.11
      ],
      "bearing_deg": 257.93,
      "half_angle_deg": 1.0,
      "true_source": [
        463.25,
        797.25
      ]
    },
    {
      "id": "q2-4207",
      "station": [
        306.3,
        502.4
      ],
      "bearing_deg": 344.25,
      "half_angle_deg": 1.0,
      "true_source": [
        984.81,
        308.26
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    },
    {
      "id": "q2-4208",
      "station": [
        -974.02,
        495.52
      ],
      "bearing_deg": 255.13,
      "half_angle_deg": 1.0,
      "true_source": [
        -1084.91,
        85.1
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    },
    {
      "id": "q2-4209",
      "station": [
        -122.73,
        232.72
      ],
      "bearing_deg": 29.91,
      "half_angle_deg": 1.0,
      "true_source": [
        1174.14,
        957.27
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    },
    {
      "id": "q2-4210",
      "station": [
        415.63,
        798.23
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      "bearing_deg": 141.6,
      "half_angle_deg": 1.0,
      "true_source": [
        -57.58,
        1168.92
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    },
    {
      "id": "q2-4211",
      "station": [
        -1084.66,
        328.56
      ],
      "bearing_deg": 315.09,
      "half_angle_deg": 1.0,
      "true_source": [
        -532.3,
        -238.32
      ]
    },
    {
      "id": "q2-4212",
      "station": [
        1248.44,
        -9.02
      ],
      "bearing_deg": 193.75,
      "half_angle_deg": 1.0,
      "true_source": [
        252.02,
        -254.88
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    },
    {
      "id": "q2-4213",
      "station": [
        -1190.0,
        -963.11
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      "bearing_deg": 27.36,
      "half_angle_deg": 1.0,
      "true_source": [
        -844.79,
        -783.47
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    },
    {
      "id": "q2-4214",
      "station": [
        -160.49,
        -1597.36
      ],
      "bearing_deg": 16.53,
      "half_angle_deg": 1.0,
      "true_source": [
        734.05,
        -1327.49
      ]
    },
    {
      "id": "q2-4215",
      "station": [
        -666.58,
        -351.66
      ],
      "bearing_deg": 176.29,
      "half_angle_deg": 1.0,
      "true_source": [
        -811.68,
        -339.99
      ]
    },
    {
      "id": "q2-4216",
      "station": [
        -1468.89,
        -560.41
      ],
      "bearing_deg": 306.91,
      "half_angle_deg": 1.0,
      "true_source": [
        -1270.03,
        -831.62
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    },
    {
      "id": "q2-4217",
      "station": [
        -858.55,
        1314.12
      ],
      "bearing_deg": 240.3,
      "half_angle_deg": 1.0,
      "true_source": [
        -1553.59,
        84.63
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    },
    {
      "id": "q2-4218",
      "station": [
        -991.36,
        -857.97
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      "bearing_deg": 56.04,
      "half_angle_deg": 1.0,
      "true_source": [
        -837.77,
        -623.18
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    },
    {
      "id": "q2-4219",
      "station": [
        473.91,
        113.4
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      "bearing_deg": 144.97,
      "half_angle_deg": 1.0,
      "true_source": [
        -548.94,
        808.35
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    },
    {
      "id": "q2-4220",
      "station": [
        -289.71,
        -616.25
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      "bearing_deg": 64.36,
      "half_angle_deg": 1.0,
      "true_source": [
        213.2,
        443.43
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    },
    {
      "id": "q2-4221",
      "station": [
        -277.2,
        -361.13
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      "bearing_deg": 357.43,
      "half_angle_deg": 1.0,
      "true_source": [
        1185.68,
        -441.64
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    },
    {
      "id": "q2-4222",
      "station": [
        1437.56,
        -741.29
      ],
      "bearing_deg": 77.54,
      "half_angle_deg": 1.0,
      "true_source": [
        1653.48,
        166.74
      ]
    },
    {
      "id": "q2-4223",
      "station": [
        -1056.59,
        -633.05
      ],
      "bearing_deg": 156.16,
      "half_angle_deg": 1.0,
      "true_source": [
        -1628.93,
        -369.26
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    },
    {
      "id": "q2-4224",
      "station": [
        -514.36,
        1470.58
      ],
      "bearing_deg": 259.06,
      "half_angle_deg": 1.0,
      "true_source": [
        -772.21,
        122.14
      ]
    },
    {
      "id": "q2-4225",
      "station": [
        -160.22,
        -1147.83
      ],
      "bearing_deg": 115.4,
      "half_angle_deg": 1.0,
      "true_source": [
        -686.67,
        -55.06
      ]
    },
    {
      "id": "q2-4226",
      "station": [
        1062.03,
        1151.45
      ],
      "bearing_deg": 224.04,
      "half_angle_deg": 1.0,
      "true_source": [
        203.78,
        313.8
      ]
    },
    {
      "id": "q2-4227",
      "station": [
        557.83,
        -797.07
      ],
      "bearing_deg": 251.02,
      "half_angle_deg": 1.0,
      "true_source": [
        472.13,
        -1048.13
      ]
    },
    {
      "id": "q2-4228",
      "station": [
        -651.57,
        1278.91
      ],
      "bearing_deg": 317.82,
      "half_angle_deg": 1.0,
      "true_source": [
        138.3,
        543.89
      ]
    },
    {
      "id": "q2-4229",
      "station": [
        -76.01,
        -1580.92
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      "bearing_deg": 37.47,
      "half_angle_deg": 1.0,
      "true_source": [
        313.38,
        -1290.33
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    }
  ],
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    {
      "case_id": "q2-4200",
      "method": "optimal",
      "initial_radius_m": 674.5869,
      "q": [
        1257.07,
        88.64
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      "guaranteed_reception": true,
      "guarantee_distance_m": 907.093,
      "worst_posterior_radius_m": 54.4545,
      "improvement_m": 620.1324,
      "final_ratio": 0.0807,
      "move_cost_s": 181.4186,
      "reason": "安全盘 B(centre,325m) 内 37 候选；粗采样最坏后验 54.5m，1/4 间距加密复核 54.5m"
    },
    {
      "case_id": "q2-4200",
      "method": "baseline_perp",
      "initial_radius_m": 674.5869,
      "q": [
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        461.82
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      "guaranteed_reception": false,
      "guarantee_distance_m": 1679.158,
      "worst_posterior_radius_m": 76.2247,
      "improvement_m": 598.3622,
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      "move_cost_s": 200.0,
      "reason": "沿首次示向度法向 1000 m 取 90° 交会点"
    },
    {
      "case_id": "q2-4200",
      "method": "baseline_mec",
      "initial_radius_m": 674.5869,
      "q": [
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        -225.68
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      "guaranteed_reception": true,
      "guarantee_distance_m": 674.587,
      "worst_posterior_radius_m": 337.2934,
      "improvement_m": 337.2935,
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      "move_cost_s": 134.9174,
      "reason": "取候选集最小包围圆圆心，保证接收但交会角可能最差"
    },
    {
      "case_id": "q2-4200",
      "method": "reference",
      "initial_radius_m": 674.5869,
      "q": [
        1172.85,
        99.73
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      "guaranteed_reception": true,
      "guarantee_distance_m": 850.11,
      "worst_posterior_radius_m": 57.7006,
      "improvement_m": 616.8863,
      "final_ratio": 0.0855,
      "move_cost_s": 170.0221,
      "reason": "安全盘网格 9×9 取最坏后验最小"
    },
    {
      "case_id": "q2-4201",
      "method": "optimal",
      "initial_radius_m": 261.3319,
      "q": [
        -1501.32,
        -348.01
      ],
      "guaranteed_reception": true,
      "guarantee_distance_m": 461.907,
      "worst_posterior_radius_m": 13.554,
      "improvement_m": 247.7779,
      "final_ratio": 0.0519,
      "move_cost_s": 92.3814,
      "reason": "安全盘 B(centre,739m) 内 37 候选；粗采样最坏后验 13.6m，1/4 间距加密复核 13.6m"
    },
    {
      "case_id": "q2-4201",
      "method": "baseline_perp",
      "initial_radius_m": 261.3319,
      "q": [
        -781.77,
        -714.9
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      "guaranteed_reception": false,
      "guarantee_distance_m": 1131.685,
      "worst_posterior_radius_m": 27.2223,
      "improvement_m": 234.1096,
      "final_ratio": 0.1042,
      "move_cost_s": 200.0,
      "reason": "沿首次示向度法向 1000 m 取 90° 交会点"
    },
    {
      "case_id": "q2-4201",
      "method": "baseline_mec",
      "initial_radius_m": 261.3319,
      "q": [
        -1577.8,
        -62.62
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      "guaranteed_reception": true,
      "guarantee_distance_m": 261.332,
      "worst_posterior_radius_m": 130.666,
      "improvement_m": 130.6659,
      "final_ratio": 0.5,
      "move_cost_s": 52.2664,
      "reason": "取候选集最小包围圆圆心，保证接收但交会角可能最差"
    },
    {
      "case_id": "q2-4201",
      "method": "reference",
      "initial_radius_m": 261.3319,
      "q": [
        -1393.13,
        -431.95
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      "guaranteed_reception": true,
      "guarantee_distance_m": 527.033,
      "worst_posterior_radius_m": 14.9755,
      "improvement_m": 246.3564,
      "final_ratio": 0.0573,
      "move_cost_s": 105.4065,
      "reason": "安全盘网格 9×9 取最坏后验最小"
    },
    {
      "case_id": "q2-4202",
      "method": "optimal",
      "initial_radius_m": 591.0865,
      "q": [
        -1126.29,
        -861.05
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      "guaranteed_reception": true,
      "guarantee_distance_m": 869.013,
      "worst_posterior_radius_m": 37.9172,
      "improvement_m": 553.1693,
      "final_ratio": 0.0641,
      "move_cost_s": 173.8026,
      "reason": "安全盘 B(centre,409m) 内 37 候选；粗采样最坏后验 37.9m，1/4 间距加密复核 37.9m"
    },
    {
      "case_id": "q2-4202",
      "method": "baseline_perp",
      "initial_radius_m": 591.0865,
      "q": [
        408.07,
        -1235.07
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      "guaranteed_reception": false,
      "guarantee_distance_m": 1561.731,
      "worst_posterior_radius_m": 64.5663,
      "improvement_m": 526.5201,
      "final_ratio": 0.1092,
      "move_cost_s": 200.0,
      "reason": "沿首次示向度法向 1000 m 取 90° 交会点"
    },
    {
      "case_id": "q2-4202",
      "method": "baseline_mec",
      "initial_radius_m": 591.0865,
      "q": [
        -731.31,
        -966.88
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      "guaranteed_reception": true,
      "guarantee_distance_m": 591.086,
      "worst_posterior_radius_m": 295.543,
      "improvement_m": 295.5435,
      "final_ratio": 0.5,
      "move_cost_s": 118.2173,
      "reason": "取候选集最小包围圆圆心，保证接收但交会角可能最差"
    },
    {
      "case_id": "q2-4202",
      "method": "reference",
      "initial_radius_m": 591.0865,
      "q": [
        -1037.99,
        -864.65
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      "guaranteed_reception": true,
      "guarantee_distance_m": 788.834,
      "worst_posterior_radius_m": 46.2224,
      "improvement_m": 544.8641,
      "final_ratio": 0.0782,
      "move_cost_s": 157.7667,
      "reason": "安全盘网格 9×9 取最坏后验最小"
    },
    {
      "case_id": "q2-4203",
      "method": "optimal",
      "initial_radius_m": 326.9242,
      "q": [
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        -1745.09
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      "guaranteed_reception": true,
      "guarantee_distance_m": 683.584,
      "worst_posterior_radius_m": 17.1337,
      "improvement_m": 309.7905,
      "final_ratio": 0.0524,
      "move_cost_s": 136.7168,
      "reason": "安全盘 B(centre,673m) 内 37 候选；粗采样最坏后验 17.1m，1/4 间距加密复核 17.1m"
    },
    {
      "case_id": "q2-4203",
      "method": "baseline_perp",
      "initial_radius_m": 326.9242,
      "q": [
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        -1523.16
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      "guaranteed_reception": false,
      "guarantee_distance_m": 1204.348,
      "worst_posterior_radius_m": 32.9937,
      "improvement_m": 293.9305,
      "final_ratio": 0.1009,
      "move_cost_s": 200.0,
      "reason": "沿首次示向度法向 1000 m 取 90° 交会点"
    },
    {
      "case_id": "q2-4203",
      "method": "baseline_mec",
      "initial_radius_m": 326.9242,
      "q": [
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        -1388.14
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      "guaranteed_reception": true,
      "guarantee_distance_m": 326.924,
      "worst_posterior_radius_m": 163.4621,
      "improvement_m": 163.4621,
      "final_ratio": 0.5,
      "move_cost_s": 65.3848,
      "reason": "取候选集最小包围圆圆心，保证接收但交会角可能最差"
    },
    {
      "case_id": "q2-4203",
      "method": "reference",
      "initial_radius_m": 326.9242,
      "q": [
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        -1724.68
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      "guaranteed_reception": true,
      "guarantee_distance_m": 657.977,
      "worst_posterior_radius_m": 16.9004,
      "improvement_m": 310.0238,
      "final_ratio": 0.0517,
      "move_cost_s": 131.5955,
      "reason": "安全盘网格 9×9 取最坏后验最小"
    },
    {
      "case_id": "q2-4204",
      "method": "optimal",
      "initial_radius_m": 750.2026,
      "q": [
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        207.59
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      "guaranteed_reception": true,
      "guarantee_distance_m": 876.743,
      "worst_posterior_radius_m": 91.6039,
      "improvement_m": 658.5987,
      "final_ratio": 0.1221,
      "move_cost_s": 175.3487,
      "reason": "安全盘 B(centre,250m) 内 37 候选；粗采样最坏后验 91.6m，1/4 间距加密复核 91.6m"
    },
    {
      "case_id": "q2-4204",
      "method": "baseline_perp",
      "initial_radius_m": 750.2026,
      "q": [
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      "guaranteed_reception": false,
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      "move_cost_s": 200.0,
      "reason": "沿首次示向度法向 1000 m 取 90° 交会点"
    },
    {
      "case_id": "q2-4204",
      "method": "baseline_mec",
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      "q": [
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      "guaranteed_reception": true,
      "guarantee_distance_m": 750.203,
      "worst_posterior_radius_m": 375.1022,
      "improvement_m": 375.1004,
      "final_ratio": 0.5,
      "move_cost_s": 150.0405,
      "reason": "取候选集最小包围圆圆心，保证接收但交会角可能最差"
    },
    {
      "case_id": "q2-4204",
      "method": "reference",
      "initial_radius_m": 750.2026,
      "q": [
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      "guaranteed_reception": true,
      "guarantee_distance_m": 923.799,
      "worst_posterior_radius_m": 92.2487,
      "improvement_m": 657.9539,
      "final_ratio": 0.123,
      "move_cost_s": 184.7599,
      "reason": "安全盘网格 9×9 取最坏后验最小"
    },
    {
      "case_id": "q2-4205",
      "method": "optimal",
      "initial_radius_m": 750.1405,
      "q": [
        -502.88,
        21.0
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      "guaranteed_reception": true,
      "guarantee_distance_m": 881.587,
      "worst_posterior_radius_m": 91.0955,
      "improvement_m": 659.045,
      "final_ratio": 0.1214,
      "move_cost_s": 176.3175,
      "reason": "安全盘 B(centre,250m) 内 37 候选；粗采样最坏后验 91.1m，1/4 间距加密复核 91.1m"
    },
    {
      "case_id": "q2-4205",
      "method": "baseline_perp",
      "initial_radius_m": 750.1405,
      "q": [
        -611.97,
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      "guaranteed_reception": false,
      "guarantee_distance_m": 1817.364,
      "worst_posterior_radius_m": 90.7805,
      "improvement_m": 659.3599,
      "final_ratio": 0.121,
      "move_cost_s": 200.0,
      "reason": "沿首次示向度法向 1000 m 取 90° 交会点"
    },
    {
      "case_id": "q2-4205",
      "method": "baseline_mec",
      "initial_radius_m": 750.1405,
      "q": [
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      "guaranteed_reception": true,
      "guarantee_distance_m": 750.14,
      "worst_posterior_radius_m": 375.0849,
      "improvement_m": 375.0556,
      "final_ratio": 0.5,
      "move_cost_s": 150.0281,
      "reason": "取候选集最小包围圆圆心，保证接收但交会角可能最差"
    },
    {
      "case_id": "q2-4205",
      "method": "reference",
      "initial_radius_m": 750.1405,
      "q": [
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      ],
      "guaranteed_reception": true,
      "guarantee_distance_m": 927.736,
      "worst_posterior_radius_m": 92.2506,
      "improvement_m": 657.8898,
      "final_ratio": 0.123,
      "move_cost_s": 185.5473,
      "reason": "安全盘网格 9×9 取最坏后验最小"
    },
    {
      "case_id": "q2-4206",
      "method": "optimal",
      "initial_radius_m": 750.1175,
      "q": [
        215.59,
        676.88
      ],
      "guaranteed_reception": true,
      "guarantee_distance_m": 892.004,
      "worst_posterior_radius_m": 90.9599,
      "improvement_m": 659.1576,
      "final_ratio": 0.1213,
      "move_cost_s": 178.4008,
      "reason": "安全盘 B(centre,250m) 内 37 候选；粗采样最坏后验 91.0m，1/4 间距加密复核 91.0m"
    },
    {
      "case_id": "q2-4206",
      "method": "baseline_perp",
      "initial_radius_m": 750.1175,
      "q": [
        1591.6,
        1266.0
      ],
      "guaranteed_reception": false,
      "guarantee_distance_m": 1817.311,
      "worst_posterior_radius_m": 90.7748,
      "improvement_m": 659.3427,
      "final_ratio": 0.121,
      "move_cost_s": 200.0,
      "reason": "沿首次示向度法向 1000 m 取 90° 交会点"
    },
    {
      "case_id": "q2-4206",
      "method": "baseline_mec",
      "initial_radius_m": 750.1175,
      "q": [
        456.96,
        741.55
      ],
      "guaranteed_reception": true,
      "guarantee_distance_m": 750.118,
      "worst_posterior_radius_m": 375.0979,
      "improvement_m": 375.0196,
      "final_ratio": 0.5001,
      "move_cost_s": 150.0235,
      "reason": "取候选集最小包围圆圆心，保证接收但交会角可能最差"
    },
    {
      "case_id": "q2-4206",
      "method": "reference",
      "initial_radius_m": 750.1175,
      "q": [
        207.07,
        741.55
      ],
      "guaranteed_reception": true,
      "guarantee_distance_m": 838.723,
      "worst_posterior_radius_m": 94.2065,
      "improvement_m": 655.911,
      "final_ratio": 0.1256,
      "move_cost_s": 167.7446,
      "reason": "安全盘网格 9×9 取最坏后验最小"
    },
    {
      "case_id": "q2-4207",
      "method": "optimal",
      "initial_radius_m": 750.1199,
      "q": [
        1204.99,
        475.64
      ],
      "guaranteed_reception": true,
      "guarantee_distance_m": 899.091,
      "worst_posterior_radius_m": 90.8511,
      "improvement_m": 659.2688,
      "final_ratio": 0.1211,
      "move_cost_s": 179.8182,
      "reason": "安全盘 B(centre,250m) 内 37 候选；粗采样最坏后验 90.9m，1/4 间距加密复核 90.9m"
    },
    {
      "case_id": "q2-4207",
      "method": "baseline_perp",
      "initial_radius_m": 750.1199,
      "q": [
        577.74,
        1464.86
      ],
      "guaranteed_reception": false,
      "guarantee_distance_m": 1817.314,
      "worst_posterior_radius_m": 90.775,
      "improvement_m": 659.3449,
      "final_ratio": 0.121,
      "move_cost_s": 200.0,
      "reason": "沿首次示向度法向 1000 m 取 90° 交会点"
    },
    {
      "case_id": "q2-4207",
      "method": "baseline_mec",
      "initial_radius_m": 750.1199,
      "q": [
        1028.3,
        298.95
      ],
      "guaranteed_reception": true,
      "guarantee_distance_m": 750.12,
      "worst_posterior_radius_m": 375.0932,
      "improvement_m": 375.0267,
      "final_ratio": 0.5,
      "move_cost_s": 150.024,
      "reason": "取候选集最小包围圆圆心，保证接收但交会角可能最差"
    },
    {
      "case_id": "q2-4207",
      "method": "reference",
      "initial_radius_m": 750.1199,
      "q": [
        1028.3,
        49.07
      ],
      "guaranteed_reception": true,
      "guarantee_distance_m": 852.524,
      "worst_posterior_radius_m": 92.9717,
      "improvement_m": 657.1483,
      "final_ratio": 0.1239,
      "move_cost_s": 170.5048,
      "reason": "安全盘网格 9×9 取最坏后验最小"
    },
    {
      "case_id": "q2-4208",
      "method": "optimal",
      "initial_radius_m": 750.1908,
      "q": [
        -1408.52,
        -294.02
      ],
      "guaranteed_reception": true,
      "guarantee_distance_m": 901.202,
      "worst_posterior_radius_m": 90.7476,
      "improvement_m": 659.4432,
      "final_ratio": 0.121,
      "move_cost_s": 180.2404,
      "reason": "安全盘 B(centre,250m) 内 37 候选；粗采样最坏后验 90.7m，1/4 间距加密复核 90.7m"
    },
    {
      "case_id": "q2-4208",
      "method": "baseline_perp",
      "initial_radius_m": 750.1908,
      "q": [
        -7.51,
        238.89
      ],
      "guaranteed_reception": false,
      "guarantee_distance_m": 1817.457,
      "worst_posterior_radius_m": 90.7906,
      "improvement_m": 659.4002,
      "final_ratio": 0.121,
      "move_cost_s": 200.0,
      "reason": "沿首次示向度法向 1000 m 取 90° 交会点"
    },
    {
      "case_id": "q2-4208",
      "method": "baseline_mec",
      "initial_radius_m": 750.1908,
      "q": [
        -1167.23,
        -229.36
      ],
      "guaranteed_reception": true,
      "guarantee_distance_m": 750.191,
      "worst_posterior_radius_m": 375.0973,
      "improvement_m": 375.0934,
      "final_ratio": 0.5,
      "move_cost_s": 150.0381,
      "reason": "取候选集最小包围圆圆心，保证接收但交会角可能最差"
    },
    {
      "case_id": "q2-4208",
      "method": "reference",
      "initial_radius_m": 750.1908,
      "q": [
        -1417.03,
        -229.36
      ],
      "guaranteed_reception": true,
      "guarantee_distance_m": 849.54,
      "worst_posterior_radius_m": 93.0509,
      "improvement_m": 657.1399,
      "final_ratio": 0.124,
      "move_cost_s": 169.9081,
      "reason": "安全盘网格 9×9 取最坏后验最小"
    },
    {
      "case_id": "q2-4209",
      "method": "optimal",
      "initial_radius_m": 750.1984,
      "q": [
        462.52,
        848.73
      ],
      "guaranteed_reception": true,
      "guarantee_distance_m": 849.702,
      "worst_posterior_radius_m": 93.0327,
      "improvement_m": 657.1657,
      "final_ratio": 0.124,
      "move_cost_s": 169.9405,
      "reason": "安全盘 B(centre,250m) 内 37 候选；粗采样最坏后验 93.0m，1/4 间距加密复核 93.0m"
    },
    {
      "case_id": "q2-4209",
      "method": "baseline_perp",
      "initial_radius_m": 750.1984,
      "q": [
        -621.37,
        1099.53
      ],
      "guaranteed_reception": false,
      "guarantee_distance_m": 1817.427,
      "worst_posterior_radius_m": 90.7873,
      "improvement_m": 659.411,
      "final_ratio": 0.121,
      "move_cost_s": 200.0,
      "reason": "沿首次示向度法向 1000 m 取 90° 交会点"
    },
    {
      "case_id": "q2-4209",
      "method": "baseline_mec",
      "initial_radius_m": 750.1984,
      "q": [
        527.18,
        607.44
      ],
      "guaranteed_reception": true,
      "guarantee_distance_m": 750.198,
      "worst_posterior_radius_m": 375.1004,
      "improvement_m": 375.0979,
      "final_ratio": 0.5,
      "move_cost_s": 150.0397,
      "reason": "取候选集最小包围圆圆心，保证接收但交会角可能最差"
    },
    {
      "case_id": "q2-4209",
      "method": "reference",
      "initial_radius_m": 750.1984,
      "q": [
        527.18,
        857.24
      ],
      "guaranteed_reception": true,
      "guarantee_distance_m": 901.338,
      "worst_posterior_radius_m": 90.7428,
      "improvement_m": 659.4555,
      "final_ratio": 0.121,
      "move_cost_s": 180.2676,
      "reason": "安全盘网格 9×9 取最坏后验最小"
    },
    {
      "case_id": "q2-4210",
      "method": "optimal",
      "initial_radius_m": 706.0314,
      "q": [
        -429.24,
        1150.92
      ],
      "guaranteed_reception": true,
      "guarantee_distance_m": 915.531,
      "worst_posterior_radius_m": 63.6889,
      "improvement_m": 642.3425,
      "final_ratio": 0.0902,
      "move_cost_s": 183.1063,
      "reason": "安全盘 B(centre,294m) 内 37 候选；粗采样最坏后验 63.7m，1/4 间距加密复核 63.7m"
    },
    {
      "case_id": "q2-4210",
      "method": "baseline_perp",
      "initial_radius_m": 706.0314,
      "q": [
        -205.52,
        14.54
      ],
      "guaranteed_reception": false,
      "guarantee_distance_m": 1722.001,
      "worst_posterior_radius_m": 80.6406,
      "improvement_m": 625.3908,
      "final_ratio": 0.1142,
      "move_cost_s": 200.0,
      "reason": "沿首次示向度法向 1000 m 取 90° 交会点"
    },
    {
      "case_id": "q2-4210",
      "method": "baseline_mec",
      "initial_radius_m": 706.0314,
      "q": [
        -145.29,
        1227.01
      ],
      "guaranteed_reception": true,
      "guarantee_distance_m": 706.031,
      "worst_posterior_radius_m": 353.0157,
      "improvement_m": 353.0157,
      "final_ratio": 0.5,
      "move_cost_s": 141.2063,
      "reason": "取候选集最小包围圆圆心，保证接收但交会角可能最差"
    },
    {
      "case_id": "q2-4210",
      "method": "reference",
      "initial_radius_m": 706.0314,
      "q": [
        -365.76,
        1080.02
      ],
      "guaranteed_reception": true,
      "guarantee_distance_m": 830.654,
      "worst_posterior_radius_m": 72.3965,
      "improvement_m": 633.635,
      "final_ratio": 0.1025,
      "move_cost_s": 166.1307,
      "reason": "安全盘网格 9×9 取最坏后验最小"
    },
    {
      "case_id": "q2-4211",
      "method": "optimal",
      "initial_radius_m": 750.1984,
      "q": [
        -618.54,
        -442.89
      ],
      "guaranteed_reception": true,
      "guarantee_distance_m": 901.338,
      "worst_posterior_radius_m": 90.7428,
      "improvement_m": 659.4555,
      "final_ratio": 0.121,
      "move_cost_s": 180.2676,
      "reason": "安全盘 B(centre,250m) 内 37 候选；粗采样最坏后验 90.7m，1/4 间距加密复核 90.7m"
    },
    {
      "case_id": "q2-4211",
      "method": "baseline_perp",
      "initial_radius_m": 750.1984,
      "q": [
        -378.66,
        1036.78
      ],
      "guaranteed_reception": false,
      "guarantee_distance_m": 1817.471,
      "worst_posterior_radius_m": 90.7921,
      "improvement_m": 659.4063,
      "final_ratio": 0.121,
      "move_cost_s": 200.0,
      "reason": "沿首次示向度法向 1000 m 取 90° 交会点"
    },
    {
      "case_id": "q2-4211",
      "method": "baseline_mec",
      "initial_radius_m": 750.1984,
      "q": [
        -553.88,
        -201.6
      ],
      "guaranteed_reception": true,
      "guarantee_distance_m": 750.198,
      "worst_posterior_radius_m": 375.1004,
      "improvement_m": 375.0979,
      "final_ratio": 0.5,
      "move_cost_s": 150.0397,
      "reason": "取候选集最小包围圆圆心，保证接收但交会角可能最差"
    },
    {
      "case_id": "q2-4211",
      "method": "reference",
      "initial_radius_m": 750.1984,
      "q": [
        -553.88,
        -451.4
      ],
      "guaranteed_reception": true,
      "guarantee_distance_m": 943.434,
      "worst_posterior_radius_m": 94.7071,
      "improvement_m": 655.4913,
      "final_ratio": 0.1262,
      "move_cost_s": 188.6869,
      "reason": "安全盘网格 9×9 取最坏后验最小"
    },
    {
      "case_id": "q2-4212",
      "method": "optimal",
      "initial_radius_m": 750.1271,
      "q": [
        343.06,
        -10.36
      ],
      "guaranteed_reception": true,
      "guarantee_distance_m": 905.382,
      "worst_posterior_radius_m": 90.9008,
      "improvement_m": 659.2263,
      "final_ratio": 0.1212,
      "move_cost_s": 181.0765,
      "reason": "安全盘 B(centre,250m) 内 37 候选；粗采样最坏后验 90.9m，1/4 间距加密复核 90.9m"
    },
    {
      "case_id": "q2-4212",
      "method": "baseline_perp",
      "initial_radius_m": 750.1271,
      "q": [
        1486.13,
        -980.36
      ],
      "guaranteed_reception": false,
      "guarantee_distance_m": 1817.338,
      "worst_posterior_radius_m": 90.7777,
      "improvement_m": 659.3494,
      "final_ratio": 0.121,
      "move_cost_s": 200.0,
      "reason": "沿首次示向度法向 1000 m 取 90° 交会点"
    },
    {
      "case_id": "q2-4212",
      "method": "baseline_mec",
      "initial_radius_m": 750.1271,
      "q": [
        519.74,
        -187.05
      ],
      "guaranteed_reception": true,
      "guarantee_distance_m": 750.127,
      "worst_posterior_radius_m": 375.0874,
      "improvement_m": 375.0397,
      "final_ratio": 0.5,
      "move_cost_s": 150.0254,
      "reason": "取候选集最小包围圆圆心，保证接收但交会角可能最差"
    },
    {
      "case_id": "q2-4212",
      "method": "reference",
      "initial_radius_m": 750.1271,
      "q": [
        519.74,
        -436.92
      ],
      "guaranteed_reception": true,
      "guarantee_distance_m": 845.041,
      "worst_posterior_radius_m": 93.6496,
      "improvement_m": 656.4775,
      "final_ratio": 0.1248,
      "move_cost_s": 169.0083,
      "reason": "安全盘网格 9×9 取最坏后验最小"
    },
    {
      "case_id": "q2-4213",
      "method": "optimal",
      "initial_radius_m": 750.1193,
      "q": [
        -347.17,
        -794.93
      ],
      "guaranteed_reception": true,
      "guarantee_distance_m": 859.446,
      "worst_posterior_radius_m": 92.4362,
      "improvement_m": 657.6831,
      "final_ratio": 0.1232,
      "move_cost_s": 171.8893,
      "reason": "安全盘 B(centre,250m) 内 37 候选；粗采样最坏后验 92.4m，1/4 间距加密复核 92.4m"
    },
    {
      "case_id": "q2-4213",
      "method": "baseline_perp",
      "initial_radius_m": 750.1193,
      "q": [
        -1649.58,
        -74.97
      ],
      "guaranteed_reception": false,
      "guarantee_distance_m": 1817.313,
      "worst_posterior_radius_m": 90.7749,
      "improvement_m": 659.3444,
      "final_ratio": 0.121,
      "move_cost_s": 200.0,
      "reason": "沿首次示向度法向 1000 m 取 90° 交会点"
    },
    {
      "case_id": "q2-4213",
      "method": "baseline_mec",
      "initial_radius_m": 750.1193,
      "q": [
        -523.86,
        -618.24
      ],
      "guaranteed_reception": true,
      "guarantee_distance_m": 750.119,
      "worst_posterior_radius_m": 375.0941,
      "improvement_m": 375.0252,
      "final_ratio": 0.5,
      "move_cost_s": 150.0239,
      "reason": "取候选集最小包围圆圆心，保证接收但交会角可能最差"
    },
    {
      "case_id": "q2-4213",
      "method": "reference",
      "initial_radius_m": 750.1193,
      "q": [
        -523.86,
        -368.36
      ],
      "guaranteed_reception": true,
      "guarantee_distance_m": 893.013,
      "worst_posterior_radius_m": 90.8785,
      "improvement_m": 659.2408,
      "final_ratio": 0.1212,
      "move_cost_s": 178.6027,
      "reason": "安全盘网格 9×9 取最坏后验最小"
    },
    {
      "case_id": "q2-4214",
      "method": "optimal",
      "initial_radius_m": 750.1562,
      "q": [
        623.18,
        -1142.1
      ],
      "guaranteed_reception": true,
      "guarantee_distance_m": 906.311,
      "worst_posterior_radius_m": 90.8653,
      "improvement_m": 659.2909,
      "final_ratio": 0.1211,
      "move_cost_s": 181.2622,
      "reason": "安全盘 B(centre,250m) 内 37 候选；粗采样最坏后验 90.9m，1/4 间距加密复核 90.9m"
    },
    {
      "case_id": "q2-4214",
      "method": "baseline_perp",
      "initial_radius_m": 750.1562,
      "q": [
        -445.01,
        -638.69
      ],
      "guaranteed_reception": false,
      "guarantee_distance_m": 1817.363,
      "worst_posterior_radius_m": 90.7804,
      "improvement_m": 659.3758,
      "final_ratio": 0.121,
      "move_cost_s": 200.0,
      "reason": "沿首次示向度法向 1000 m 取 90° 交会点"
    },
    {
      "case_id": "q2-4214",
      "method": "baseline_mec",
      "initial_radius_m": 750.1562,
      "q": [
        558.51,
        -1383.43
      ],
      "guaranteed_reception": true,
      "guarantee_distance_m": 750.156,
      "worst_posterior_radius_m": 375.0866,
      "improvement_m": 375.0696,
      "final_ratio": 0.5,
      "move_cost_s": 150.0312,
      "reason": "取候选集最小包围圆圆心，保证接收但交会角可能最差"
    },
    {
      "case_id": "q2-4214",
      "method": "reference",
      "initial_radius_m": 750.1562,
      "q": [
        558.51,
        -1133.59
      ],
      "guaranteed_reception": true,
      "guarantee_distance_m": 855.602,
      "worst_posterior_radius_m": 92.5807,
      "improvement_m": 657.5755,
      "final_ratio": 0.1234,
      "move_cost_s": 171.1203,
      "reason": "安全盘网格 9×9 取最坏后验最小"
    },
    {
      "case_id": "q2-4215",
      "method": "optimal",
      "initial_radius_m": 559.2726,
      "q": [
        -1338.03,
        120.02
      ],
      "guaranteed_reception": true,
      "guarantee_distance_m": 820.564,
      "worst_posterior_radius_m": 35.5642,
      "improvement_m": 523.7084,
      "final_ratio": 0.0636,
      "move_cost_s": 164.1129,
      "reason": "安全盘 B(centre,441m) 内 37 候选；粗采样最坏后验 35.6m，1/4 间距加密复核 35.6m"
    },
    {
      "case_id": "q2-4215",
      "method": "baseline_perp",
      "initial_radius_m": 559.2726,
      "q": [
        -731.29,
        -1349.56
      ],
      "guaranteed_reception": false,
      "guarantee_distance_m": 1513.4,
      "worst_posterior_radius_m": 59.9571,
      "improvement_m": 499.3155,
      "final_ratio": 0.1072,
      "move_cost_s": 200.0,
      "reason": "沿首次示向度法向 1000 m 取 90° 交会点"
    },
    {
      "case_id": "q2-4215",
      "method": "baseline_mec",
      "initial_radius_m": 559.2726,
      "q": [
        -1223.96,
        -305.69
      ],
      "guaranteed_reception": true,
      "guarantee_distance_m": 559.273,
      "worst_posterior_radius_m": 279.636,
      "improvement_m": 279.6365,
      "final_ratio": 0.5,
      "move_cost_s": 111.8545,
      "reason": "取候选集最小包围圆圆心，保证接收但交会角可能最差"
    },
    {
      "case_id": "q2-4215",
      "method": "reference",
      "initial_radius_m": 559.2726,
      "q": [
        -1444.32,
        -636.23
      ],
      "guaranteed_reception": true,
      "guarantee_distance_m": 828.17,
      "worst_posterior_radius_m": 35.8572,
      "improvement_m": 523.4154,
      "final_ratio": 0.0641,
      "move_cost_s": 165.6341,
      "reason": "安全盘网格 9×9 取最坏后验最小"
    },
    {
      "case_id": "q2-4216",
      "method": "optimal",
      "initial_radius_m": 725.317,
      "q": [
        -757.87,
        -1061.54
      ],
      "guaranteed_reception": true,
      "guarantee_distance_m": 869.875,
      "worst_posterior_radius_m": 65.5855,
      "improvement_m": 659.7315,
      "final_ratio": 0.0904,
      "move_cost_s": 173.975,
      "reason": "安全盘 B(centre,275m) 内 37 候选；粗采样最坏后验 65.6m，1/4 间距加密复核 65.6m"
    },
    {
      "case_id": "q2-4216",
      "method": "baseline_perp",
      "initial_radius_m": 725.317,
      "q": [
        -669.31,
        40.15
      ],
      "guaranteed_reception": false,
      "guarantee_distance_m": 1747.413,
      "worst_posterior_radius_m": 79.8013,
      "improvement_m": 645.5157,
      "final_ratio": 0.11,
      "move_cost_s": 200.0,
      "reason": "沿首次示向度法向 1000 m 取 90° 交会点"
    },
    {
      "case_id": "q2-4216",
      "method": "baseline_mec",
      "initial_radius_m": 725.317,
      "q": [
        -1023.19,
        -1132.63
      ],
      "guaranteed_reception": true,
      "guarantee_distance_m": 725.317,
      "worst_posterior_radius_m": 362.6584,
      "improvement_m": 362.6586,
      "final_ratio": 0.5,
      "move_cost_s": 145.0634,
      "reason": "取候选集最小包围圆圆心，保证接收但交会角可能最差"
    },
    {
      "case_id": "q2-4216",
      "method": "reference",
      "initial_radius_m": 725.317,
      "q": [
        -748.51,
        -1132.63
      ],
      "guaranteed_reception": true,
      "guarantee_distance_m": 919.993,
      "worst_posterior_radius_m": 63.6695,
      "improvement_m": 661.6475,
      "final_ratio": 0.0878,
      "move_cost_s": 183.9986,
      "reason": "安全盘网格 9×9 取最坏后验最小"
    },
    {
      "case_id": "q2-4217",
      "method": "optimal",
      "initial_radius_m": 750.1626,
      "q": [
        -1472.03,
        727.45
      ],
      "guaranteed_reception": true,
      "guarantee_distance_m": 848.853,
      "worst_posterior_radius_m": 93.1306,
      "improvement_m": 657.0319,
      "final_ratio": 0.1241,
      "move_cost_s": 169.7705,
      "reason": "安全盘 B(centre,250m) 内 37 候选；粗采样最坏后验 93.1m，1/4 间距加密复核 93.1m"
    },
    {
      "case_id": "q2-4217",
      "method": "baseline_perp",
      "initial_radius_m": 750.1626,
      "q": [
        10.08,
        818.66
      ],
      "guaranteed_reception": false,
      "guarantee_distance_m": 1817.406,
      "worst_posterior_radius_m": 90.785,
      "improvement_m": 659.3776,
      "final_ratio": 0.121,
      "move_cost_s": 200.0,
      "reason": "沿首次示向度法向 1000 m 取 90° 交会点"
    },
    {
      "case_id": "q2-4217",
      "method": "baseline_mec",
      "initial_radius_m": 750.1626,
      "q": [
        -1230.71,
        662.78
      ],
      "guaranteed_reception": true,
      "guarantee_distance_m": 750.163,
      "worst_posterior_radius_m": 375.088,
      "improvement_m": 375.0746,
      "final_ratio": 0.5,
      "move_cost_s": 150.0325,
      "reason": "取候选集最小包围圆圆心，保证接收但交会角可能最差"
    },
    {
      "case_id": "q2-4217",
      "method": "reference",
      "initial_radius_m": 750.1626,
      "q": [
        -1480.55,
        662.78
      ],
      "guaranteed_reception": true,
      "guarantee_distance_m": 900.623,
      "worst_posterior_radius_m": 90.7703,
      "improvement_m": 659.3922,
      "final_ratio": 0.121,
      "move_cost_s": 180.1245,
      "reason": "安全盘网格 9×9 取最坏后验最小"
    },
    {
      "case_id": "q2-4218",
      "method": "optimal",
      "initial_radius_m": 750.1767,
      "q": [
        -331.52,
        -300.05
      ],
      "guaranteed_reception": true,
      "guarantee_distance_m": 864.093,
      "worst_posterior_radius_m": 92.2696,
      "improvement_m": 657.907,
      "final_ratio": 0.123,
      "move_cost_s": 172.8186,
      "reason": "安全盘 B(centre,250m) 内 37 候选；粗采样最坏后验 92.3m，1/4 间距加密复核 92.3m"
    },
    {
      "case_id": "q2-4218",
      "method": "baseline_perp",
      "initial_radius_m": 750.1767,
      "q": [
        -1820.79,
        -299.36
      ],
      "guaranteed_reception": false,
      "guarantee_distance_m": 1817.394,
      "worst_posterior_radius_m": 90.7837,
      "improvement_m": 659.3929,
      "final_ratio": 0.121,
      "move_cost_s": 200.0,
      "reason": "沿首次示向度法向 1000 m 取 90° 交会点"
    },
    {
      "case_id": "q2-4218",
      "method": "baseline_mec",
      "initial_radius_m": 750.1767,
      "q": [
        -572.83,
        -235.4
      ],
      "guaranteed_reception": true,
      "guarantee_distance_m": 750.177,
      "worst_posterior_radius_m": 375.0922,
      "improvement_m": 375.0845,
      "final_ratio": 0.5,
      "move_cost_s": 150.0353,
      "reason": "取候选集最小包围圆圆心，保证接收但交会角可能最差"
    },
    {
      "case_id": "q2-4218",
      "method": "reference",
      "initial_radius_m": 750.1767,
      "q": [
        -323.01,
        -235.4
      ],
      "guaranteed_reception": true,
      "guarantee_distance_m": 913.396,
      "worst_posterior_radius_m": 91.4835,
      "improvement_m": 658.6932,
      "final_ratio": 0.1219,
      "move_cost_s": 182.6792,
      "reason": "安全盘网格 9×9 取最坏后验最小"
    },
    {
      "case_id": "q2-4219",
      "method": "optimal",
      "initial_radius_m": 750.1294,
      "q": [
        -75.49,
        785.58
      ],
      "guaranteed_reception": true,
      "guarantee_distance_m": 868.14,
      "worst_posterior_radius_m": 91.7592,
      "improvement_m": 658.3702,
      "final_ratio": 0.1223,
      "move_cost_s": 173.628,
      "reason": "安全盘 B(centre,250m) 内 37 候选；粗采样最坏后验 91.8m，1/4 间距加密复核 91.8m"
    },
    {
      "case_id": "q2-4219",
      "method": "baseline_perp",
      "initial_radius_m": 750.1294,
      "q": [
        -100.1,
        -705.45
      ],
      "guaranteed_reception": false,
      "guarantee_distance_m": 1817.343,
      "worst_posterior_radius_m": 90.7782,
      "improvement_m": 659.3512,
      "final_ratio": 0.121,
      "move_cost_s": 200.0,
      "reason": "沿首次示向度法向 1000 m 取 90° 交会点"
    },
    {
      "case_id": "q2-4219",
      "method": "baseline_mec",
      "initial_radius_m": 750.1294,
      "q": [
        -140.16,
        544.22
      ],
      "guaranteed_reception": true,
      "guarantee_distance_m": 750.129,
      "worst_posterior_radius_m": 375.0865,
      "improvement_m": 375.0429,
      "final_ratio": 0.5,
      "move_cost_s": 150.0259,
      "reason": "取候选集最小包围圆圆心，保证接收但交会角可能最差"
    },
    {
      "case_id": "q2-4219",
      "method": "reference",
      "initial_radius_m": 750.1294,
      "q": [
        -140.16,
        794.09
      ],
      "guaranteed_reception": true,
      "guarantee_distance_m": 916.749,
      "worst_posterior_radius_m": 91.3486,
      "improvement_m": 658.7807,
      "final_ratio": 0.1218,
      "move_cost_s": 183.3498,
      "reason": "安全盘网格 9×9 取最坏后验最小"
    },
    {
      "case_id": "q2-4220",
      "method": "optimal",
      "initial_radius_m": 750.1282,
      "q": [
        -141.54,
        236.57
      ],
      "guaranteed_reception": true,
      "guarantee_distance_m": 865.6,
      "worst_posterior_radius_m": 92.0601,
      "improvement_m": 658.0681,
      "final_ratio": 0.1227,
      "move_cost_s": 173.1199,
      "reason": "安全盘 B(centre,250m) 内 37 候选；粗采样最坏后验 92.1m，1/4 间距加密复核 92.1m"
    },
    {
      "case_id": "q2-4220",
      "method": "baseline_perp",
      "initial_radius_m": 750.1282,
      "q": [
        -1191.24,
        -183.53
      ],
      "guaranteed_reception": false,
      "guarantee_distance_m": 1817.341,
      "worst_posterior_radius_m": 90.7779,
      "improvement_m": 659.3503,
      "final_ratio": 0.121,
      "move_cost_s": 200.0,
      "reason": "沿首次示向度法向 1000 m 取 90° 交会点"
    },
    {
      "case_id": "q2-4220",
      "method": "baseline_mec",
      "initial_radius_m": 750.1282,
      "q": [
        35.14,
        59.89
      ],
      "guaranteed_reception": true,
      "guarantee_distance_m": 750.128,
      "worst_posterior_radius_m": 375.0869,
      "improvement_m": 375.0413,
      "final_ratio": 0.5,
      "move_cost_s": 150.0256,
      "reason": "取候选集最小包围圆圆心，保证接收但交会角可能最差"
    },
    {
      "case_id": "q2-4220",
      "method": "reference",
      "initial_radius_m": 750.1282,
      "q": [
        285.01,
        59.89
      ],
      "guaranteed_reception": true,
      "guarantee_distance_m": 887.395,
      "worst_posterior_radius_m": 90.9462,
      "improvement_m": 659.182,
      "final_ratio": 0.1212,
      "move_cost_s": 177.479,
      "reason": "安全盘网格 9×9 取最坏后验最小"
    },
    {
      "case_id": "q2-4221",
      "method": "optimal",
      "initial_radius_m": 750.1227,
      "q": [
        536.85,
        -635.91
      ],
      "guaranteed_reception": true,
      "guarantee_distance_m": 859.177,
      "worst_posterior_radius_m": 92.4725,
      "improvement_m": 657.6502,
      "final_ratio": 0.1233,
      "move_cost_s": 171.8353,
      "reason": "安全盘 B(centre,250m) 内 37 候选；粗采样最坏后验 92.5m，1/4 间距加密复核 92.5m"
    },
    {
      "case_id": "q2-4221",
      "method": "baseline_perp",
      "initial_radius_m": 750.1227,
      "q": [
        -232.36,
        637.86
      ],
      "guaranteed_reception": false,
      "guarantee_distance_m": 1817.317,
      "worst_posterior_radius_m": 90.7753,
      "improvement_m": 659.3473,
      "final_ratio": 0.121,
      "move_cost_s": 200.0,
      "reason": "沿首次示向度法向 1000 m 取 90° 交会点"
    },
    {
      "case_id": "q2-4221",
      "method": "baseline_mec",
      "initial_radius_m": 750.1227,
      "q": [
        472.18,
        -394.55
      ],
      "guaranteed_reception": true,
      "guarantee_distance_m": 750.123,
      "worst_posterior_radius_m": 375.0902,
      "improvement_m": 375.0324,
      "final_ratio": 0.5,
      "move_cost_s": 150.0245,
      "reason": "取候选集最小包围圆圆心，保证接收但交会角可能最差"
    },
    {
      "case_id": "q2-4221",
      "method": "reference",
      "initial_radius_m": 750.1227,
      "q": [
        472.18,
        -644.43
      ],
      "guaranteed_reception": true,
      "guarantee_distance_m": 801.14,
      "worst_posterior_radius_m": 98.7801,
      "improvement_m": 651.3425,
      "final_ratio": 0.1317,
      "move_cost_s": 160.228,
      "reason": "安全盘网格 9×9 取最坏后验最小"
    },
    {
      "case_id": "q2-4222",
      "method": "optimal",
      "initial_radius_m": 672.8456,
      "q": [
        1339.85,
        149.49
      ],
      "guaranteed_reception": true,
      "guarantee_distance_m": 896.118,
      "worst_posterior_radius_m": 46.6908,
      "improvement_m": 626.1547,
      "final_ratio": 0.0694,
      "move_cost_s": 179.2236,
      "reason": "安全盘 B(centre,327m) 内 37 候选；粗采样最坏后验 46.7m，1/4 间距加密复核 46.7m"
    },
    {
      "case_id": "q2-4222",
      "method": "baseline_perp",
      "initial_radius_m": 672.8456,
      "q": [
        461.11,
        -525.53
      ],
      "guaranteed_reception": false,
      "guarantee_distance_m": 1662.432,
      "worst_posterior_radius_m": 70.9473,
      "improvement_m": 601.8982,
      "final_ratio": 0.1054,
      "move_cost_s": 200.0,
      "reason": "沿首次示向度法向 1000 m 取 90° 交会点"
    },
    {
      "case_id": "q2-4222",
      "method": "baseline_mec",
      "initial_radius_m": 672.8456,
      "q": [
        1571.19,
        -81.85
      ],
      "guaranteed_reception": true,
      "guarantee_distance_m": 672.846,
      "worst_posterior_radius_m": 336.422,
      "improvement_m": 336.4236,
      "final_ratio": 0.5,
      "move_cost_s": 134.5691,
      "reason": "取候选集最小包围圆圆心，保证接收但交会角可能最差"
    },
    {
      "case_id": "q2-4222",
      "method": "reference",
      "initial_radius_m": 672.8456,
      "q": [
        1325.82,
        81.73
      ],
      "guaranteed_reception": true,
      "guarantee_distance_m": 830.571,
      "worst_posterior_radius_m": 53.4171,
      "improvement_m": 619.4285,
      "final_ratio": 0.0794,
      "move_cost_s": 166.1141,
      "reason": "安全盘网格 9×9 取最坏后验最小"
    },
    {
      "case_id": "q2-4223",
      "method": "optimal",
      "initial_radius_m": 395.7032,
      "q": [
        -1736.15,
        -787.27
      ],
      "guaranteed_reception": true,
      "guarantee_distance_m": 696.835,
      "worst_posterior_radius_m": 21.2216,
      "improvement_m": 374.4816,
      "final_ratio": 0.0536,
      "move_cost_s": 139.367,
      "reason": "安全盘 B(centre,604m) 内 37 候选；粗采样最坏后验 21.2m，1/4 间距加密复核 21.2m"
    },
    {
      "case_id": "q2-4223",
      "method": "baseline_perp",
      "initial_radius_m": 395.7032,
      "q": [
        -1460.77,
        -1547.73
      ],
      "guaranteed_reception": false,
      "guarantee_distance_m": 1286.113,
      "worst_posterior_radius_m": 39.7243,
      "improvement_m": 355.9789,
      "final_ratio": 0.1004,
      "move_cost_s": 200.0,
      "reason": "沿首次示向度法向 1000 m 取 90° 交会点"
    },
    {
      "case_id": "q2-4223",
      "method": "baseline_mec",
      "initial_radius_m": 395.7032,
      "q": [
        -1415.67,
        -466.79
      ],
      "guaranteed_reception": true,
      "guarantee_distance_m": 395.703,
      "worst_posterior_radius_m": 197.8516,
      "improvement_m": 197.8516,
      "final_ratio": 0.5,
      "move_cost_s": 79.1406,
      "reason": "取候选集最小包围圆圆心，保证接收但交会角可能最差"
    },
    {
      "case_id": "q2-4223",
      "method": "reference",
      "initial_radius_m": 395.7032,
      "q": [
        -1415.67,
        -13.57
      ],
      "guaranteed_reception": true,
      "guarantee_distance_m": 716.029,
      "worst_posterior_radius_m": 20.8331,
      "improvement_m": 374.8701,
      "final_ratio": 0.0526,
      "move_cost_s": 143.2057,
      "reason": "安全盘网格 9×9 取最坏后验最小"
    },
    {
      "case_id": "q2-4224",
      "method": "optimal",
      "initial_radius_m": 750.1611,
      "q": [
        -898.59,
        669.49
      ],
      "guaranteed_reception": true,
      "guarantee_distance_m": 888.467,
      "worst_posterior_radius_m": 90.8686,
      "improvement_m": 659.2925,
      "final_ratio": 0.1211,
      "move_cost_s": 177.6934,
      "reason": "安全盘 B(centre,250m) 内 37 候选；粗采样最坏后验 90.9m，1/4 间距加密复核 90.9m"
    },
    {
      "case_id": "q2-4224",
      "method": "baseline_perp",
      "initial_radius_m": 750.1611,
      "q": [
        467.47,
        1280.8
      ],
      "guaranteed_reception": false,
      "guarantee_distance_m": 1817.403,
      "worst_posterior_radius_m": 90.7847,
      "improvement_m": 659.3764,
      "final_ratio": 0.121,
      "move_cost_s": 200.0,
      "reason": "沿首次示向度法向 1000 m 取 90° 交会点"
    },
    {
      "case_id": "q2-4224",
      "method": "baseline_mec",
      "initial_radius_m": 750.1611,
      "q": [
        -657.27,
        734.16
      ],
      "guaranteed_reception": true,
      "guarantee_distance_m": 750.161,
      "worst_posterior_radius_m": 375.0876,
      "improvement_m": 375.0735,
      "final_ratio": 0.5,
      "move_cost_s": 150.0322,
      "reason": "取候选集最小包围圆圆心，保证接收但交会角可能最差"
    },
    {
      "case_id": "q2-4224",
      "method": "reference",
      "initial_radius_m": 750.1611,
      "q": [
        -907.11,
        734.16
      ],
      "guaranteed_reception": true,
      "guarantee_distance_m": 834.607,
      "worst_posterior_radius_m": 94.497,
      "improvement_m": 655.6641,
      "final_ratio": 0.126,
      "move_cost_s": 166.9213,
      "reason": "安全盘网格 9×9 取最坏后验最小"
    },
    {
      "case_id": "q2-4225",
      "method": "optimal",
      "initial_radius_m": 750.1168,
      "q": [
        -305.35,
        -293.56
      ],
      "guaranteed_reception": true,
      "guarantee_distance_m": 866.507,
      "worst_posterior_radius_m": 91.9451,
      "improvement_m": 658.1717,
      "final_ratio": 0.1226,
      "move_cost_s": 173.3014,
      "reason": "安全盘 B(centre,250m) 内 37 候选；粗采样最坏后验 91.9m，1/4 间距加密复核 91.9m"
    },
    {
      "case_id": "q2-4225",
      "method": "baseline_perp",
      "initial_radius_m": 750.1168,
      "q": [
        -1063.56,
        -1576.77
      ],
      "guaranteed_reception": false,
      "guarantee_distance_m": 1817.311,
      "worst_posterior_radius_m": 90.7747,
      "improvement_m": 659.3421,
      "final_ratio": 0.121,
      "move_cost_s": 200.0,
      "reason": "沿首次示向度法向 1000 m 取 90° 交会点"
    },
    {
      "case_id": "q2-4225",
      "method": "baseline_mec",
      "initial_radius_m": 750.1168,
      "q": [
        -482.04,
        -470.26
      ],
      "guaranteed_reception": true,
      "guarantee_distance_m": 750.117,
      "worst_posterior_radius_m": 375.1002,
      "improvement_m": 375.0166,
      "final_ratio": 0.5001,
      "move_cost_s": 150.0234,
      "reason": "取候选集最小包围圆圆心，保证接收但交会角可能最差"
    },
    {
      "case_id": "q2-4225",
      "method": "reference",
      "initial_radius_m": 750.1168,
      "q": [
        -731.92,
        -470.26
      ],
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      "reason": "安全盘网格 9×9 取最坏后验最小"
    },
    {
      "case_id": "q2-4226",
      "method": "optimal",
      "initial_radius_m": 750.116,
      "q": [
        587.47,
        388.64
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      "guarantee_distance_m": 898.378,
      "worst_posterior_radius_m": 90.899,
      "improvement_m": 659.2169,
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    },
    {
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        432.6
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    {
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      "method": "baseline_mec",
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      "q": [
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      "guaranteed_reception": true,
      "guarantee_distance_m": 750.116,
      "worst_posterior_radius_m": 375.106,
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      "final_ratio": 0.5001,
      "move_cost_s": 150.0232,
      "reason": "取候选集最小包围圆圆心，保证接收但交会角可能最差"
    },
    {
      "case_id": "q2-4226",
      "method": "reference",
      "initial_radius_m": 750.116,
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      "guaranteed_reception": true,
      "guarantee_distance_m": 941.123,
      "worst_posterior_radius_m": 94.4658,
      "improvement_m": 655.6502,
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      "move_cost_s": 188.2245,
      "reason": "安全盘网格 9×9 取最坏后验最小"
    },
    {
      "case_id": "q2-4227",
      "method": "optimal",
      "initial_radius_m": 527.9089,
      "q": [
        711.22,
        -1627.01
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      "guaranteed_reception": true,
      "guarantee_distance_m": 843.994,
      "worst_posterior_radius_m": 29.9847,
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      "move_cost_s": 168.7988,
      "reason": "安全盘 B(centre,472m) 内 37 候选；粗采样最坏后验 30.0m，1/4 间距加密复核 30.0m"
    },
    {
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      "method": "baseline_perp",
      "initial_radius_m": 527.9089,
      "q": [
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        -1122.31
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      "guaranteed_reception": false,
      "guarantee_distance_m": 1466.898,
      "worst_posterior_radius_m": 55.6254,
      "improvement_m": 472.2835,
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      "move_cost_s": 200.0,
      "reason": "沿首次示向度法向 1000 m 取 90° 交会点"
    },
    {
      "case_id": "q2-4227",
      "method": "baseline_mec",
      "initial_radius_m": 527.9089,
      "q": [
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        -1293.19
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      "guaranteed_reception": true,
      "guarantee_distance_m": 527.909,
      "worst_posterior_radius_m": 263.9545,
      "improvement_m": 263.9544,
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      "reason": "取候选集最小包围圆圆心，保证接收但交会角可能最差"
    },
    {
      "case_id": "q2-4227",
      "method": "reference",
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      "guaranteed_reception": true,
      "guarantee_distance_m": 819.702,
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      "move_cost_s": 163.9404,
      "reason": "安全盘网格 9×9 取最坏后验最小"
    },
    {
      "case_id": "q2-4228",
      "method": "optimal",
      "initial_radius_m": 750.1159,
      "q": [
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      "guaranteed_reception": true,
      "guarantee_distance_m": 892.387,
      "worst_posterior_radius_m": 90.9276,
      "improvement_m": 659.1883,
      "final_ratio": 0.1212,
      "move_cost_s": 178.4773,
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    },
    {
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      "method": "baseline_perp",
      "initial_radius_m": 750.1159,
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      "guaranteed_reception": false,
      "guarantee_distance_m": 1817.312,
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      "reason": "沿首次示向度法向 1000 m 取 90° 交会点"
    },
    {
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      "method": "baseline_mec",
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      "q": [
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      "guaranteed_reception": true,
      "guarantee_distance_m": 750.116,
      "worst_posterior_radius_m": 375.1074,
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      "final_ratio": 0.5001,
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      "reason": "取候选集最小包围圆圆心，保证接收但交会角可能最差"
    },
    {
      "case_id": "q2-4228",
      "method": "reference",
      "initial_radius_m": 750.1159,
      "q": [
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      "guaranteed_reception": true,
      "guarantee_distance_m": 936.393,
      "worst_posterior_radius_m": 93.5804,
      "improvement_m": 656.5355,
      "final_ratio": 0.1248,
      "move_cost_s": 187.2787,
      "reason": "安全盘网格 9×9 取最坏后验最小"
    },
    {
      "case_id": "q2-4229",
      "method": "optimal",
      "initial_radius_m": 750.2021,
      "q": [
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        -882.98
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      "guaranteed_reception": true,
      "guarantee_distance_m": 876.702,
      "worst_posterior_radius_m": 91.3426,
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      "reason": "安全盘 B(centre,250m) 内 37 候选；粗采样最坏后验 91.3m，1/4 间距加密复核 91.3m"
    },
    {
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      "method": "baseline_perp",
      "initial_radius_m": 750.2021,
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      "guaranteed_reception": false,
      "guarantee_distance_m": 1817.445,
      "worst_posterior_radius_m": 90.7893,
      "improvement_m": 659.4127,
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      "move_cost_s": 200.0,
      "reason": "沿首次示向度法向 1000 m 取 90° 交会点"
    },
    {
      "case_id": "q2-4229",
      "method": "baseline_mec",
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      "guaranteed_reception": true,
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      "worst_posterior_radius_m": 375.1019,
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      "move_cost_s": 150.0404,
      "reason": "取候选集最小包围圆圆心，保证接收但交会角可能最差"
    },
    {
      "case_id": "q2-4229",
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      "guaranteed_reception": true,
      "guarantee_distance_m": 923.765,
      "worst_posterior_radius_m": 91.9054,
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      "move_cost_s": 184.7531,
      "reason": "安全盘网格 9×9 取最坏后验最小"
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    "optimal": {
      "cases": 30,
      "guaranteed_rate": 1.0,
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      "improvement_mean_m": 607.5768,
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      "move_cost_mean_s": 170.4375
    },
    "baseline_perp": {
      "cases": 30,
      "guaranteed_rate": 0.0,
      "worst_posterior_mean_m": 80.1109,
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      "move_cost_mean_s": 200.0
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    "baseline_mec": {
      "cases": 30,
      "guaranteed_rate": 1.0,
      "worst_posterior_mean_m": 340.7465,
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      "improvement_mean_m": 340.7205,
      "final_ratio_mean": 0.5,
      "move_cost_mean_s": 136.2934
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    "reference": {
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      "guaranteed_rate": 1.0,
      "worst_posterior_mean_m": 75.6265,
      "worst_posterior_median_m": 91.3486,
      "improvement_mean_m": 605.8405,
      "final_ratio_mean": 0.1064,
      "move_cost_mean_s": 170.277
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    "_initial_radius_mean_m": 681.467
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}