{
  "task": {
    "id": "case_43",
    "name": "nth_fibonacci",
    "summary": "Returns the corresponding Fibonacci number for each element in the input sequence.",
    "examples": [
      {
        "input": [
          "BOS",
          17,
          8,
          1,
          19,
          14,
          6,
          11,
          7,
          14
        ],
        "output": [
          "BOS",
          1597,
          21,
          1,
          4181,
          377,
          8,
          89,
          13,
          377
        ]
      },
      {
        "input": [
          "BOS",
          2,
          4,
          18,
          6,
          8,
          6,
          17,
          3,
          13
        ],
        "output": [
          "BOS",
          1,
          3,
          2584,
          8,
          21,
          8,
          1597,
          2,
          233
        ]
      },
      {
        "input": [
          "BOS",
          6,
          19,
          14,
          10,
          7,
          6,
          18,
          10,
          10
        ],
        "output": [
          "BOS",
          8,
          4181,
          377,
          55,
          13,
          8,
          2584,
          55,
          55
        ]
      },
      {
        "input": [
          "BOS",
          3,
          7,
          2,
          1,
          11,
          5,
          1,
          0,
          11
        ],
        "output": [
          "BOS",
          2,
          13,
          1,
          1,
          89,
          5,
          1,
          0,
          89
        ]
      },
      {
        "input": [
          "BOS",
          11,
          16,
          9,
          15,
          14,
          14,
          18,
          11,
          19
        ],
        "output": [
          "BOS",
          89,
          987,
          34,
          610,
          377,
          377,
          2584,
          89,
          4181
        ]
      }
    ],
    "is_categorical": true
  },
  "program": "fib_sequence = [0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, 233, 377, 610, 987, 1597, 2584, 4181, 6765]\nnth_fib = rasp.Map(lambda x: fib_sequence[x] if x < len(fib_sequence) else 0, rasp.tokens).named(\"nth_fib\")\nreturn nth_fib",
  "components": [
    {
      "id": "L0_MLP",
      "hook": "blocks.0.mlp.hook_post",
      "role": {
        "tag": "MAPPER",
        "note": "Maps each input index to its corresponding Fibonacci value using a fixed lookup table."
      },
      "rasp_vars": [
        "nth_fib"
      ],
      "labels": [
        "nth_fib_1"
      ]
    }
  ]
}