{
  "task": {
    "id": "case_44",
    "name": "count_greater_than",
    "summary": "Replaces each element with the number of elements greater than it in the sequence",
    "examples": [
      {
        "input": [
          "BOS",
          2,
          4,
          2,
          6,
          4,
          8,
          6,
          1,
          3
        ],
        "output": [
          "BOS",
          6,
          3,
          6,
          1,
          3,
          0,
          1,
          8,
          5
        ]
      },
      {
        "input": [
          "BOS",
          4,
          1,
          7,
          5,
          1,
          4,
          0,
          9,
          5
        ],
        "output": [
          "BOS",
          4,
          6,
          1,
          2,
          6,
          4,
          8,
          0,
          2
        ]
      },
      {
        "input": [
          "BOS",
          10,
          10,
          7,
          4,
          3,
          7,
          7,
          2,
          5
        ],
        "output": [
          "BOS",
          0,
          0,
          2,
          6,
          7,
          2,
          2,
          8,
          5
        ]
      },
      {
        "input": [
          "BOS",
          8,
          0,
          10,
          10,
          9,
          2,
          6,
          3,
          8
        ],
        "output": [
          "BOS",
          3,
          8,
          0,
          0,
          2,
          7,
          5,
          6,
          3
        ]
      },
      {
        "input": [
          "BOS",
          6,
          3,
          10,
          7,
          4,
          6,
          9,
          2,
          6
        ],
        "output": [
          "BOS",
          3,
          7,
          0,
          2,
          6,
          3,
          1,
          8,
          3
        ]
      }
    ],
    "is_categorical": true
  },
  "program": "greater_than_selector = rasp.Select(rasp.tokens, rasp.tokens, rasp.Comparison.GT).named(\"greater_than_selector\")\ncount_greater_than = rasp.SelectorWidth(greater_than_selector).named(\"count_greater_than\")\nreturn count_greater_than",
  "components": [
    {
      "id": "L0H0_ATTN",
      "hook": "blocks.0.attn.hook_result[0]",
      "role": {
        "tag": "AGGREGATOR",
        "note": "Attends to all positions whose token value is greater than the current position's token and produces a count of those matches"
      },
      "rasp_vars": [
        "greater_than_selector"
      ],
      "labels": [
        "count_greater_than_1_selector_width_attn_output"
      ]
    },
    {
      "id": "L0_MLP",
      "hook": "blocks.0.mlp.hook_post",
      "role": {
        "tag": "MAPPER",
        "note": "Converts the aggregated attention signal into per-position counts of how many elements are greater."
      },
      "rasp_vars": [
        "count_greater_than"
      ],
      "labels": [
        "count_greater_than_1",
        "count_greater_than_1_selector_width_attn_output"
      ]
    }
  ]
}