| --- |
| configs: |
| - config_name: references |
| data_files: references/*.parquet |
| - config_name: errata |
| data_files: errata/*.parquet |
| language: |
| - en |
| tags: |
| - code |
| - ocaml |
| - livecodebench |
| --- |
| |
| # OCaml reference solutions for LiveCodeBench |
|
|
| OCaml reference solutions for the multilingual-LiveCodeBench OCaml problem set, together |
| with the list of problems the harness cannot score. |
|
|
| - **436** problems in the universe |
| - **415** are scoreable, and each has a verified reference |
| - **21** are excluded as unscoreable (see the `errata` config) |
|
|
|
|
| ## Configs |
|
|
| `references` is one row per problem. `errata` lists the problems the harness cannot score, |
| with the evidence for each. |
|
|
| ```python |
| from datasets import load_dataset |
| refs = load_dataset("samuki-hf/ocaml-reference-solutions", "references", split="train") |
| errata = load_dataset("samuki-hf/ocaml-reference-solutions", "errata", split="train") |
| ``` |
|
|
| ## What `verification` means |
|
|
| Every solution was compiled with `ocamlopt` and run against the real hidden tests. |
|
|
| | value | meaning | count | |
| |---|---|---| |
| | `exact-match` | passes every official test byte for byte | 410 | |
| | `float-tolerance` | correct; differs only in float formatting | 5 | |
| | `validated-not-exact` | proven correct; the problem accepts several answers | 12 | |
| | `unverified` | from LiveCodeBench's errata list, not independently checked | 8 | |
|
|
| The `float-tolerance` rows are correct solutions. Those problems accept an absolute or |
| relative error of at most 1e-6, and no comparator in the LiveCodeBench lineage implements that |
| rule: the original grades per line under `Decimal` equality, Multi-LCB adds bool aliasing and |
| `math.isclose(abs_tol=1e-5, rel_tol=0)`, and Agnostics compares whole outputs under |
| `rstrip()`. |
|
|
| ## Why problems are excluded |
|
|
| | problem | reason | source | evidence | |
| |---|---|---|---| |
| | `abc337_e` | interactive | livecodebench | documented in LiveCodeBench's own ERRATA.md | |
| | `abc343_a` | multiple-solutions | livecodebench | documented in LiveCodeBench's own ERRATA.md | |
| | `abc343_e` | multiple-solutions | livecodebench | documented in LiveCodeBench's own ERRATA.md | |
| | `abc350_c` | erroneous-tests | livecodebench | documented in LiveCodeBench's own ERRATA.md | |
| | `abc355_e` | interactive | livecodebench | documented in LiveCodeBench's own ERRATA.md | |
| | `abc362_c` | multiple-solutions | livecodebench | documented in LiveCodeBench's own ERRATA.md | |
| | `abc363_f` | multiple-solutions | this-work | palindromic product string; 3000/3000 consistent | |
| | `abc366_g` | multiple-solutions | this-work | XOR labelling; 300/300 valid on random graphs | |
| | `abc373_g` | multiple-solutions | this-work | non-crossing matching; 300/300 valid matchings | |
| | `abc392_f` | erroneous-tests | this-work | 2 of 42 hidden tests violate the stated 1 <= P_i <= i (P_1 = 3 and P_1 = 5) and their expected outputs contain zeros, though the answer is a permutation of 1..N. | |
| | `abc396_e` | multiple-solutions | this-work | ties in the per-bit choice; 400/400 minimum sums | |
| | `abc397_d` | multiple-solutions | this-work | x^3-y^3=N can admit several pairs; 0 wrong over N<=200000 | |
| | `arc181_c` | multiple-solutions | this-work | 0/1 grid; 200/200 valid on random P,Q | |
| | `arc183_d` | multiple-solutions | this-work | asks for any maximum-score removal order, and the two vertices of an operation may be printed in either order, so even the N=4 test with a unique optimal procedure has four correct printings. Exact match accepts one. | |
| | `arc185_c` | multiple-solutions | livecodebench | documented in LiveCodeBench's own ERRATA.md | |
| | `arc188_c` | multiple-solutions | this-work | any valid confused set; 250/250 (170 valid, 80 correct -1) | |
| | `arc189_a` | erroneous-tests | livecodebench | documented in LiveCodeBench's own ERRATA.md | |
| | `arc190_a` | multiple-solutions | this-work | any minimum-cost operation list is accepted; ours is a valid optimum on 43 of 44 hidden tests but byte-identical on only 13. Test 14 is also wrong: it contains the interval [1,10] with N=10, so the minimum cost is 1 not 2. | |
| | `arc191_c` | multiple-solutions | this-work | (A,M) with multiplicative order N; 59/59 verified | |
| | `arc192_b` | erroneous-tests | this-work | 1 of 43 hidden tests is wrong: test 20 (N=10, A=[7,16,3,3,9,8,16,12,8,3]) expects Snuke but the true answer is Fennec. Exhaustive game search agrees with the expected output on all 25 other searchable tests. | |
| | `arc195_c` | multiple-solutions | this-work | asks for any valid cyclic placement. Our construction is valid on every case checked and its Yes/No agrees with exhaustive search for R+B <= 5, yet it fails all 5 hidden tests because it prints a different valid placement. | |
|
|
| `livecodebench` entries are documented in LiveCodeBench's own `ERRATA.md`. The harness does |
| not read that file, so these reach every consumer of the dataset. `this-work` entries were |
| established here by grading a verified reference against the official tests. |
|
|
| Excluded problems still carry a solution, apart from `arc183_d`. The `verification` column |
| records how far each was checked. For the two interactive problems the solution is included |
| for completeness and can only be checked against a live judge. |
|
|
| ## Feeding stdin |
|
|
| Append a trailing newline to each test input if it lacks one, as the vendored Multi-LCB |
| executor does. Otherwise OCaml `Scanf` formats ending in a newline raise `End_of_file` on the |
| last line and a correct program fails every test. |
|
|
| ## Provenance |
|
|
| | provenance | model | solutions | |
| |---|---|---| |
| | model-sample | qwen3-8b-think | 239 | |
| | agent | sonnet | 153 | |
| | agent | opus | 17 | |
| | model-sample | qwen3-14b-think | 17 | |
| | agent | fable | 4 | |
| | model-sample | qwen3-14b-nothink | 3 | |
| | model-sample | llama31-8b-instruct-nothink | 1 | |
| | model-sample | qwen3-8b-nothink | 1 | |
|
|
| Solutions were produced by language models and then verified. The `origin_model` column |
| records which model produced each one. |
|
|
