{
  "model": "qwen2.5:7b",
  "reps": 21,
  "arms": [
    "A",
    "B",
    "C1",
    "C2",
    "D1",
    "D2"
  ],
  "amendment": 1,
  "levels": {
    "n40": {
      "n": 40,
      "optimum": 319,
      "arms": {
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          "pick_sets": [
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              "x00",
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              "x00",
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              "x03"
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              "x00",
              "x03"
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        "C1": {
          "manipulation": [
            {
              "phrasing": 0,
              "ok": true,
              "answer_head": "I will use a dynamic programming approach to solve this problem, iterating through each crate and updating the maximum v"
            },
            {
              "phrasing": 1,
              "ok": true,
              "answer_head": "A selection would be poor if it includes many items with low value-to-cost ratios, as this would result in not maximizin"
            },
            {
              "phrasing": 2,
              "ok": true,
              "answer_head": "I would start by identifying a subset of rations that maximizes nutritional worth while staying under the 257-unit weigh"
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            {
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            {
              "phrasing": 2,
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          "variance": 0.00659800415811349,
          "move": 0.13554261830123898
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        "D1": {
          "manipulation": [
            {
              "phrasing": 0,
              "ok": true,
              "answer_head": "A broad ridge of high pressure brought clear skies and light winds to the plains, with temperatures peaking in the mid s"
            },
            {
              "phrasing": 1,
              "ok": true,
              "answer_head": "The community garden opened early after a mild spring, with volunteers preparing the beds, repairing the fence, and sett"
            },
            {
              "phrasing": 2,
              "ok": true,
              "answer_head": "The morning service departs the central terminus at 7:15 and calls at specific stops before reaching the coast, while an"
            }
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        "D2": {
          "manipulation": [
            {
              "phrasing": 0,
              "ok": true,
              "answer_head": "First, let's perform the addition and subtraction:\n\n\\[4917 + 3086 - 1250 = 7003 - 1250 = 5753\\]\n\nNext, multiply the resu"
            },
            {
              "phrasing": 1,
              "ok": true,
              "answer_head": "GRAND, MILES, CLAST"
            },
            {
              "phrasing": 2,
              "ok": true,
              "answer_head": "To find all the prime numbers between 9000 and 9040, we need to check each number in this range to see if it is divisibl"
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      "eligible_P1": true,
      "perm_p_C1_gt_A": 0.0014998500149985001,
      "perm_p_C1_gt_D2": 0.5554444555544445
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    "n50": {
      "n": 50,
      "optimum": 410,
      "arms": {
        "A": {
          "pick_sets": [
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              "x00",
              "x03"
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              "x03",
              "x29"
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              "x00",
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              "x03",
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              "x00",
              "x09"
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              "x00",
              "x03"
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              "x00",
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              "x00",
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              "x03"
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              "x00",
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              "x03",
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              "x00",
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              "x00",
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              "x03",
              "x29"
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            [
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          "valid": 21,
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            "x00",
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          "mean": 0.05911730545876887,
          "variance": 0.00023336719181029538,
          "move": 0.0
        },
        "B": {
          "manipulation": [
            {
              "phrasing": 0,
              "ok": true,
              "probe_picks": [
                "x39",
                "x45"
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              "modal_A": [
                "x00",
                "x03"
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          ],
          "scores": [
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          "phrasing": [
            0,
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          "valid": 21,
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        "C1": {
          "manipulation": [
            {
              "phrasing": 0,
              "ok": true,
              "answer_head": "I will prioritize crates with the highest value-to-weight ratio while ensuring the total weight does not exceed 333 unit"
            },
            {
              "phrasing": 1,
              "ok": true,
              "answer_head": "A selection would be considered poor if it includes too many expensive items without sufficient value in return, or if i"
            },
            {
              "phrasing": 2,
              "ok": true,
              "answer_head": "To assemble the kit, I would prioritize selecting rations with a high nutritional worth to weight ratio, ensuring the to"
            }
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          "scores": [
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        "C2": {
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            {
              "phrasing": 0,
              "ok": true,
              "probe_picks": [
                "x33",
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                "x00",
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                "x33",
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          "valid": 18,
          "mean": 0.2781842818428184,
          "variance": 0.0439734762523777,
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        "D1": {
          "manipulation": [
            {
              "phrasing": 0,
              "ok": true,
              "answer_head": "A broad ridge of high pressure brought clear skies and light winds to the plains, with temperatures peaking in the mid s"
            },
            {
              "phrasing": 1,
              "ok": true,
              "answer_head": "The community garden opened early after a mild spring, with volunteers preparing the beds, repairing fences and sheds, a"
            },
            {
              "phrasing": 2,
              "ok": true,
              "answer_head": "The morning service departs the central terminus at 7:15 AM and follows a route with stops, while an hourly slower stopp"
            }
          ],
          "scores": [
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          "phrasing": [
            0,
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          "valid": 21,
          "mean": 0.13112659698025553,
          "variance": 0.001678652027933918,
          "move": 0.07200929152148666
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        "D2": {
          "manipulation": [
            {
              "phrasing": 0,
              "ok": true,
              "answer_head": "First, compute the sum and difference: \\(4917 + 3086 - 1250 = 7753 - 1250 = 6503\\).\n\nNext, multiply the result by 2: \\(6"
            },
            {
              "phrasing": 1,
              "ok": true,
              "answer_head": "Here are the unscrambled words: \"GRAND\", \"PIMES\", \"TACLES\".\n\nIt seems \"TACLES\" might be a misspelling or a tricky one, a"
            },
            {
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