File size: 4,168 Bytes
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"task": {
"id": "case_124",
"name": "check_all_equal",
"summary": "Check if all elements in a list are equal.",
"examples": [
{
"input": [
"BOS",
3,
3,
3,
3,
3,
3,
3,
3,
3
],
"output": [
"BOS",
1,
1,
1,
1,
1,
1,
1,
1,
1
]
},
{
"input": [
"BOS",
9,
4,
0,
2,
5,
3,
7,
10,
8
],
"output": [
"BOS",
0,
0,
0,
0,
0,
0,
0,
0,
0
]
},
{
"input": [
"BOS",
2,
1,
8,
9,
4,
3,
0,
6,
5
],
"output": [
"BOS",
0,
0,
0,
0,
0,
0,
0,
0,
0
]
},
{
"input": [
"BOS",
0,
0,
0,
0,
0,
0,
0,
0,
0
],
"output": [
"BOS",
1,
1,
1,
1,
1,
1,
1,
1,
1
]
},
{
"input": [
"BOS",
3,
8,
0,
10,
5,
6,
4,
7,
9
],
"output": [
"BOS",
0,
0,
0,
0,
0,
0,
0,
0,
0
]
}
],
"is_categorical": true
},
"program": "unequal_selector = rasp.Select(rasp.tokens, rasp.tokens, lambda x, y: x != y)\nchecks = rasp.SelectorWidth(unequal_selector)\nzero_selector = rasp.Select(checks, rasp.Map(lambda x: 0, rasp.indices), rasp.Comparison.EQ)\nreturn rasp.Map(lambda x: 1 if x > 0 else 0, rasp.SelectorWidth(zero_selector))",
"components": [
{
"id": "L0H0_ATTN",
"hook": "blocks.0.attn.hook_result[0]",
"role": {
"tag": "AGGREGATOR",
"note": "Aggregates positions holding tokens unequal to the current token into a per-position mismatch count."
},
"rasp_vars": [
"unequal_selector"
],
"labels": [
"selector_width_4_selector_width_attn_output"
]
},
{
"id": "L0_MLP",
"hook": "blocks.0.mlp.hook_post",
"role": {
"tag": "MAPPER",
"note": "Turns the mismatch signal into a per-position mismatch count and prepares it for the global decision."
},
"rasp_vars": [
"checks"
],
"labels": [
"selector_width_4",
"map_5",
"selector_width_4_selector_width_attn_output"
]
},
{
"id": "L1H0_ATTN",
"hook": "blocks.1.attn.hook_result[0]",
"role": {
"tag": "AGGREGATOR",
"note": "Aggregates positions where the mismatch count is zero, producing a per-position count of zero-mismatch occurrences."
},
"rasp_vars": [
"zero_selector"
],
"labels": [
"selector_width_2_selector_width_attn_output"
]
},
{
"id": "L1_MLP",
"hook": "blocks.1.mlp.hook_post",
"role": {
"tag": "MAPPER",
"note": "Converts the zero-mismatch mask into a scalar-like summary signal that can be read out."
},
"rasp_vars": [
"all_equal_signal"
],
"labels": [
"selector_width_2",
"selector_width_2_selector_width_attn_output"
]
},
{
"id": "L2_MLP",
"hook": "blocks.2.mlp.hook_post",
"role": {
"tag": "INDICATOR",
"note": "Outputs the final binary decision: 1 if all elements are equal, otherwise 0."
},
"rasp_vars": [
"all_equal"
],
"labels": [
"map_1"
]
}
]
}
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