{
  "task": {
    "id": "case_110",
    "name": "insert_zeros",
    "summary": "Inserts zeros between each element, removing the latter half of the list.",
    "examples": [
      {
        "input": [
          "BOS",
          2,
          4,
          2,
          6,
          4,
          8,
          6,
          1,
          3
        ],
        "output": [
          "BOS",
          2.0,
          0,
          4.0,
          0,
          2.0,
          0,
          6.0,
          0,
          4.0
        ]
      },
      {
        "input": [
          "BOS",
          4,
          1,
          7,
          5,
          1,
          4,
          0,
          9,
          5
        ],
        "output": [
          "BOS",
          4.0,
          0,
          1.0,
          0,
          7.0,
          0,
          5.0,
          0,
          1.0
        ]
      },
      {
        "input": [
          "BOS",
          10,
          10,
          7,
          4,
          3,
          7,
          7,
          2,
          5
        ],
        "output": [
          "BOS",
          10.0,
          0,
          10.0,
          0,
          7.0,
          0,
          4.0,
          0,
          3.0
        ]
      },
      {
        "input": [
          "BOS",
          8,
          0,
          10,
          10,
          9,
          2,
          6,
          3,
          8
        ],
        "output": [
          "BOS",
          8.0,
          0,
          0.0,
          0,
          10.0,
          0,
          10.0,
          0,
          9.0
        ]
      },
      {
        "input": [
          "BOS",
          6,
          3,
          10,
          7,
          4,
          6,
          9,
          2,
          6
        ],
        "output": [
          "BOS",
          6.0,
          0,
          3.0,
          0,
          10.0,
          0,
          7.0,
          0,
          4.0
        ]
      }
    ],
    "is_categorical": true
  },
  "program": "shifter = rasp.Select(rasp.indices, rasp.indices, lambda x, y: x == int(y / 2))\nshifted = rasp.Aggregate(shifter, rasp.tokens)\nreturn rasp.SequenceMap(lambda x, y: x if y % 2 == 0 else 0, shifted, rasp.indices)",
  "components": [
    {
      "id": "L0H0_ATTN",
      "hook": "blocks.0.attn.hook_result[0]",
      "role": {
        "tag": "ROUTER",
        "note": "Routes each output position to a source input position (floor(i/2)) so the first half gets expanded into even indices."
      },
      "rasp_vars": [
        "shifter",
        "shifted"
      ],
      "labels": [
        "aggregate_2"
      ]
    },
    {
      "id": "L0_MLP",
      "hook": "blocks.0.mlp.hook_post",
      "role": {
        "tag": "COMBINER",
        "note": "Uses the routed value and the position index to emit the value on even positions and 0 on odd positions."
      },
      "rasp_vars": [
        "sequence_map"
      ],
      "labels": [
        "sequence_map_1"
      ]
    }
  ]
}