| { |
| "task": { |
| "id": "case_129", |
| "name": "check_multiple_of_n", |
| "summary": "Checks if all elements are a multiple of n (default n=2).", |
| "examples": [ |
| { |
| "input": [ |
| "BOS", |
| 0, |
| 28, |
| 2, |
| 6, |
| 22, |
| 16, |
| 26, |
| 20, |
| 10 |
| ], |
| "output": [ |
| "BOS", |
| 1, |
| 1, |
| 1, |
| 1, |
| 1, |
| 1, |
| 1, |
| 1, |
| 1 |
| ] |
| }, |
| { |
| "input": [ |
| "BOS", |
| 0, |
| 8, |
| 2, |
| 26, |
| 9, |
| 6, |
| 20, |
| 24, |
| 12 |
| ], |
| "output": [ |
| "BOS", |
| 0, |
| 0, |
| 0, |
| 0, |
| 0, |
| 0, |
| 0, |
| 0, |
| 0 |
| ] |
| }, |
| { |
| "input": [ |
| "BOS", |
| 4, |
| 10, |
| 14, |
| 0, |
| 6, |
| 9, |
| 12, |
| 8, |
| 18 |
| ], |
| "output": [ |
| "BOS", |
| 0, |
| 0, |
| 0, |
| 0, |
| 0, |
| 0, |
| 0, |
| 0, |
| 0 |
| ] |
| }, |
| { |
| "input": [ |
| "BOS", |
| 0, |
| 22, |
| 8, |
| 6, |
| 26, |
| 4, |
| 2, |
| 16, |
| 24 |
| ], |
| "output": [ |
| "BOS", |
| 1, |
| 1, |
| 1, |
| 1, |
| 1, |
| 1, |
| 1, |
| 1, |
| 1 |
| ] |
| }, |
| { |
| "input": [ |
| "BOS", |
| 2, |
| 26, |
| 8, |
| 14, |
| 29, |
| 18, |
| 0, |
| 10, |
| 16 |
| ], |
| "output": [ |
| "BOS", |
| 0, |
| 0, |
| 0, |
| 0, |
| 0, |
| 0, |
| 0, |
| 0, |
| 0 |
| ] |
| } |
| ], |
| "is_categorical": true |
| }, |
| "program": "checks = rasp.Map(lambda x: 1 if x % n == 0 else 0, rasp.tokens).named(f\"check_multiple_of_{n}\")\nzero_selector = rasp.Select(checks, rasp.Map(lambda x: 0, rasp.indices), rasp.Comparison.EQ)\nreturn rasp.Map(lambda x: 0 if x > 0 else 1, rasp.SelectorWidth(zero_selector))", |
| "components": [ |
| { |
| "id": "L0_MLP", |
| "hook": "blocks.0.mlp.hook_post", |
| "role": { |
| "tag": "INDICATOR", |
| "note": "Computes a per-element pass/fail flag indicating whether each value is divisible by n." |
| }, |
| "rasp_vars": [ |
| "checks" |
| ], |
| "labels": [ |
| "check_multiple_of_2_4", |
| "map_5" |
| ] |
| }, |
| { |
| "id": "L1H0_ATTN", |
| "hook": "blocks.1.attn.hook_result[0]", |
| "role": { |
| "tag": "AGGREGATOR", |
| "note": "Aggregates positions where the divisibility flag is zero, producing a per-position count of non-multiple 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": "Summarizes the mismatch count signal into a single global indicator shared across positions." |
| }, |
| "rasp_vars": [ |
| "mismatch_count" |
| ], |
| "labels": [ |
| "selector_width_2" |
| ] |
| }, |
| { |
| "id": "L2_MLP", |
| "hook": "blocks.2.mlp.hook_post", |
| "role": { |
| "tag": "INDICATOR", |
| "note": "Converts the global mismatch indicator into the final decision: all-multiples vs not-all-multiples." |
| }, |
| "rasp_vars": [ |
| "all_multiples" |
| ], |
| "labels": [ |
| "map_1" |
| ] |
| } |
| ] |
| } |
|
|
