{ "evaluation_id": "EVAL-20260207-142101", "question_id": "CODE-007", "question_text": "Explain what this code does in plain English. Then identify any bugs or design issues.\n\n```python\ndef f(x, n=3, m=None):\n m = m or {}\n if n == 0:\n return [[]]\n if x in m:\n return m[x]\n r = []\n for i in range(len(x)):\n for p in f(x[:i] + x[i+1:], n-1, m):\n r.append([x[i]] + p)\n m[x] = r\n return r\n\ndef g(s, k):\n from collections import Counter\n c = Counter(s)\n h = []\n import heapq\n for ch, cnt in c.items():\n heapq.heappush(h, (-cnt, ch))\n r = []\n while h and len(r) < k:\n cnt, ch = heapq.heappop(h)\n r.append(ch)\n return ''.join(r)\n```", "category": "code", "timestamp": "2026-02-24T00:00:00.000Z", "display_date": "Feb 24, 2026", "winner": { "name": "GLM-4-7", "provider": "Zhipu", "score": 9.45 }, "avg_score": 8.339, "matrix_size": 90, "models_used": [ { "id": "claude_opus", "name": "Claude Opus 4.5", "provider": "Anthropic" }, { "id": "gemini_3_flash", "name": "Gemini 3 Flash Preview", "provider": "Google" }, { "id": "claude_sonnet", "name": "Claude Sonnet 4.5", "provider": "Anthropic" }, { "id": "gemini_3_pro", "name": "Gemini 3 Pro Preview", "provider": "Google" }, { "id": "minimax_m2", "name": "MiniMax M2", "provider": "MiniMax" }, { "id": "glm_4_7", "name": "GLM-4-7", "provider": "Zhipu" }, { "id": "deepseek_v3", "name": "DeepSeek V3.2", "provider": "DeepSeek" }, { "id": "gpt_codex", "name": "GPT-5.2-Codex", "provider": "OpenAI" }, { "id": "grok_direct", "name": "Grok 3 (Direct)", "provider": "xAI" }, { "id": "grok_code_fast", "name": "Grok Code Fast", "provider": "xAI" } ], "rankings": { "glm_4_7": { "display_name": "GLM-4-7", "provider": "Zhipu", "average_score": 9.45, "score_count": 7, "min_score": 8.45, "max_score": 10, "rank": 1 }, "gpt_codex": { "display_name": "GPT-5.2-Codex", "provider": "OpenAI", "average_score": 9.23, "score_count": 8, "min_score": 8.3, "max_score": 9.8, "rank": 2 }, "grok_code_fast": { "display_name": "Grok Code Fast", "provider": "xAI", "average_score": 8.96, "score_count": 7, "min_score": 7.95, "max_score": 9.55, "rank": 3 }, "deepseek_v3": { "display_name": "DeepSeek V3.2", "provider": "DeepSeek", "average_score": 8.95, "score_count": 7, "min_score": 7.8, "max_score": 9.6, "rank": 4 }, "gemini_3_flash": { "display_name": "Gemini 3 Flash Preview", "provider": "Google", "average_score": 8.88, "score_count": 8, "min_score": 6.15, "max_score": 9.8, "rank": 5 }, "claude_opus": { "display_name": "Claude Opus 4.5", "provider": "Anthropic", "average_score": 8.81, "score_count": 7, "min_score": 7.8, "max_score": 10, "rank": 6 }, "gemini_3_pro": { "display_name": "Gemini 3 Pro Preview", "provider": "Google", "average_score": 8.51, "score_count": 9, "min_score": 6.15, "max_score": 9.6, "rank": 7 }, "claude_sonnet": { "display_name": "Claude Sonnet 4.5", "provider": "Anthropic", "average_score": 8.11, "score_count": 7, "min_score": 5.35, "max_score": 9.2, "rank": 8 }, "grok_direct": { "display_name": "Grok 3 (Direct)", "provider": "xAI", "average_score": 8.04, "score_count": 7, "min_score": 5.5, "max_score": 9.45, "rank": 9 }, "minimax_m2": { "display_name": "MiniMax M2", "provider": "MiniMax", "average_score": 4.45, "score_count": 5, "min_score": 1.45, "max_score": 7.45, "rank": 10 } }, "judgments": [ { "judge_key": "grok_code_fast", "judge_name": "Grok Code Fast", "respondent_key": "claude_opus", "respondent_name": "Claude Opus 4.5", "weighted_score": 9.4, "brief_justification": "The response accurately explains the code's functionality and identifies key bugs with logical reasoning, though it slightly mischaracterizes function f as generating permutations without noting it's for combinations; it thoroughly covers the topic with clear structure and insightful, actionable suggestions." }, { "judge_key": "grok_code_fast", "judge_name": "Grok Code Fast", "respondent_key": "gemini_3_flash", "respondent_name": "Gemini 3 Flash Preview", "weighted_score": 9.8, "brief_justification": "The response accurately explains the code's functionality and identifies key bugs like the mutable default argument and unhashable list keys, while providing insightful, actionable improvements using standard libraries." }, { "judge_key": "grok_code_fast", "judge_name": "Grok Code Fast", "respondent_key": "claude_sonnet", "respondent_name": "Claude Sonnet 4.5", "weighted_score": 8.95, "brief_justification": "The response accurately explains the code's functionality and identifies key bugs, though it misstates that the mutable default argument isn't fixed (it is, but memoization doesn't persist across calls). It thoroughly covers issues and provides useful improvements." }, { "judge_key": "grok_code_fast", "judge_name": "Grok Code Fast", "respondent_key": "gemini_3_pro", "respondent_name": "Gemini 3 Pro Preview", "weighted_score": 9.2, "brief_justification": "The response accurately explains the code's functionality and identifies key bugs with specific scenarios and better alternatives, though it slightly mislabels 'partial permutations' as it generates full permutations of n-element subsets. It is comprehensive, clear, insightful, and offers practical improvements." }, { "judge_key": "grok_code_fast", "judge_name": "Grok Code Fast", "respondent_key": "minimax_m2", "respondent_name": "MiniMax M2", "weighted_score": 2, "brief_justification": "The response does not explain the code or identify bugs as requested; it merely instructs to provide JSON scores, failing to address the query." }, { "judge_key": "grok_code_fast", "judge_name": "Grok Code Fast", "respondent_key": "glm_4_7", "respondent_name": "GLM-4-7", "weighted_score": 9.8, "brief_justification": "The response accurately explains the code's functionality and identifies key bugs and design issues with logical reasoning. It provides thorough, clear, and insightful analysis, though depth could be slightly higher with more code examples or alternatives." }, { "judge_key": "grok_code_fast", "judge_name": "Grok Code Fast", "respondent_key": "deepseek_v3", "respondent_name": "DeepSeek V3.2", "weighted_score": 9.6, "brief_justification": "The response accurately explains the code's functionality and identifies key bugs and issues with examples, though it could delve slightly deeper into g's tie-breaking mechanism." }, { "judge_key": "grok_code_fast", "judge_name": "Grok Code Fast", "respondent_key": "gpt_codex", "respondent_name": "GPT-5.2-Codex", "weighted_score": 9.2, "brief_justification": "The response accurately explains the code's functionality and identifies key bugs with logical reasoning and fixes, though it slightly mislabels permutations as combinations in one place. It is thorough, clear, insightful, and provides actionable improvements." }, { "judge_key": "grok_code_fast", "judge_name": "Grok Code Fast", "respondent_key": "grok_direct", "respondent_name": "Grok 3 (Direct)", "weighted_score": 9.45, "brief_justification": "The response accurately explains the code's functionality and identifies key bugs and design issues with logical reasoning and suggested fixes, though it could be slightly more concise in structure." }, { "judge_key": "gemini_3_pro", "judge_name": "Gemini 3 Pro Preview", "respondent_key": "grok_code_fast", "respondent_name": "Grok Code Fast", "weighted_score": 0, "brief_justification": "" }, { "judge_key": "gpt_codex", "judge_name": "GPT-5.2-Codex", "respondent_key": "glm_4_7", "respondent_name": "GLM-4-7", "weighted_score": 0, "brief_justification": "" }, { "judge_key": "deepseek_v3", "judge_name": "DeepSeek V3.2", "respondent_key": "claude_sonnet", "respondent_name": "Claude Sonnet 4.5", "weighted_score": 9.2, "brief_justification": "The response provides an accurate, thorough, and insightful analysis of both functions, correctly identifying key bugs and design issues while offering improved implementations." }, { "judge_key": "deepseek_v3", "judge_name": "DeepSeek V3.2", "respondent_key": "gemini_3_pro", "respondent_name": "Gemini 3 Pro Preview", "weighted_score": 8.8, "brief_justification": "The response is highly accurate, clearly explains both functions, and identifies critical bugs like broken memoization and unhashable inputs, but the explanation for function g is cut off before completion." }, { "judge_key": "deepseek_v3", "judge_name": "DeepSeek V3.2", "respondent_key": "minimax_m2", "respondent_name": "MiniMax M2", "weighted_score": 7.45, "brief_justification": "The response correctly explains both functions and identifies a key bug in function f (mutable default argument issue), but lacks deeper analysis of algorithmic inefficiency and edge cases for function g." }, { "judge_key": "claude_opus", "judge_name": "Claude Opus 4.5", "respondent_key": "grok_code_fast", "respondent_name": "Grok Code Fast", "weighted_score": 9, "brief_justification": "Excellent analysis with accurate plain English explanations of both functions. The bug identification is thorough and correct, especially catching the hashability issue with lists as dictionary keys and the mutable default argument pattern. The response provides concrete fix suggestions and considers edge cases. Minor deduction for slightly overstating the mutable default argument issue (the pattern used actually works correctly)." }, { "judge_key": "claude_opus", "judge_name": "Claude Opus 4.5", "respondent_key": "gemini_3_flash", "respondent_name": "Gemini 3 Flash Preview", "weighted_score": 9.2, "brief_justification": "Excellent analysis that correctly explains both functions and identifies multiple genuine bugs (unhashable list keys, mutable default argument persistence, inefficient memoization). The response is exceptionally well-structured with clear sections, accurate technical details, and practical fixes using standard library alternatives. Minor deduction for slightly overstating the mutable default argument issue since m={} is created fresh each call." }, { "judge_key": "claude_opus", "judge_name": "Claude Opus 4.5", "respondent_key": "claude_sonnet", "respondent_name": "Claude Sonnet 4.5", "weighted_score": 7.75, "brief_justification": "The explanation is clear and mostly accurate, but contains some errors in bug analysis. The claim that memoization 'doesn't work properly' is misleading—it works within a call tree as intended. The 'n mismatch' point is also confused; n=3 generates 3-permutations correctly. The response provides good practical suggestions and improved implementations, but the technical analysis of f's behavior has inaccuracies." }, { "judge_key": "claude_opus", "judge_name": "Claude Opus 4.5", "respondent_key": "gemini_3_pro", "respondent_name": "Gemini 3 Pro Preview", "weighted_score": 8.8, "brief_justification": "The response provides accurate plain English explanations and identifies critical bugs including the broken memoization (cache key ignoring n) and unhashable type issue. The analysis is well-structured and clear, with practical improvement suggestions. Minor deduction for the response appearing truncated and missing potential discussion of the mutable default argument pattern (though m=m or {} mitigates it)." }, { "judge_key": "claude_opus", "judge_name": "Claude Opus 4.5", "respondent_key": "minimax_m2", "respondent_name": "MiniMax M2", "weighted_score": 1.45, "brief_justification": "The response is completely empty, providing no explanation of the code, no identification of bugs or design issues. The question asked for a plain English explanation and bug/design issue analysis, but nothing was delivered." }, { "judge_key": "claude_opus", "judge_name": "Claude Opus 4.5", "respondent_key": "glm_4_7", "respondent_name": "GLM-4-7", "weighted_score": 9.2, "brief_justification": "The response provides accurate, thorough explanations of both functions and identifies the key bugs (memoization key missing n, duplicate permutations) and design issues (imports inside function, tie-breaking behavior). The explanations are exceptionally clear and well-organized. Minor deduction for not mentioning that the mutable default argument pattern with 'm = m or {}' is actually a correct fix for the mutable default argument problem, which could have been noted as good practice." }, { "judge_key": "claude_opus", "judge_name": "Claude Opus 4.5", "respondent_key": "deepseek_v3", "respondent_name": "DeepSeek V3.2", "weighted_score": 9.2, "brief_justification": "Excellent analysis with accurate plain English explanations and thorough bug identification. The memoization key bug, unhashable key issue, and duplicate permutation problem are all correctly identified. Minor note: the tie-breaking claim for g() depends on Python version/implementation details. The response is exceptionally well-organized with clear categorization of critical bugs vs design issues." }, { "judge_key": "claude_opus", "judge_name": "Claude Opus 4.5", "respondent_key": "gpt_codex", "respondent_name": "GPT-5.2-Codex", "weighted_score": 9.2, "brief_justification": "The response accurately explains both functions and identifies the critical bugs in f (broken memoization with empty dict, missing n in cache key, hashability requirement). The analysis of g is correct including the tie-breaking behavior. Minor deduction: could have mentioned that the mutable default argument pattern itself is a design smell, and the explanation of why empty dict is falsy could be slightly clearer for beginners." }, { "judge_key": "claude_opus", "judge_name": "Claude Opus 4.5", "respondent_key": "grok_direct", "respondent_name": "Grok 3 (Direct)", "weighted_score": 7.15, "brief_justification": "The response provides a thorough explanation but contains a significant error: function f generates permutations of length n, not subsequences (subsequences maintain order without rearrangement). The claim that lists can be dictionary keys is also incorrect - lists are not hashable. The bug analysis is otherwise comprehensive, covering memoization issues, input validation, and design concerns, though some identified 'bugs' are more stylistic preferences." }, { "judge_key": "gemini_3_flash", "judge_name": "Gemini 3 Flash Preview", "respondent_key": "grok_code_fast", "respondent_name": "Grok Code Fast", "weighted_score": 9.55, "brief_justification": "The response provides an excellent explanation of both functions and correctly identifies the critical 'unhashable type' bug in function f. It also correctly identifies the mutable default argument pattern and offers practical fixes for all issues found." }, { "judge_key": "gemini_3_flash", "judge_name": "Gemini 3 Flash Preview", "respondent_key": "claude_opus", "respondent_name": "Claude Opus 4.5", "weighted_score": 10, "brief_justification": "The response accurately explains the logic of both functions and identifies critical bugs, such as the unhashable list type error and the flawed memoization key that ignores the 'n' parameter." }, { "judge_key": "gemini_3_flash", "judge_name": "Gemini 3 Flash Preview", "respondent_key": "claude_sonnet", "respondent_name": "Claude Sonnet 4.5", "weighted_score": 8.55, "brief_justification": "The explanation of the code's logic is accurate and the identification of the mutable default argument logic is insightful. However, the evaluation of the memoization bug is slightly contradictory (stating it prevents memoization while also saying it only works within a single call tree), and it misses that the list-of-lists return type makes the dictionary key (a list) unhashable, which would cause a runtime error." }, { "judge_key": "gemini_3_flash", "judge_name": "Gemini 3 Flash Preview", "respondent_key": "gemini_3_pro", "respondent_name": "Gemini 3 Pro Preview", "weighted_score": 9.6, "brief_justification": "The response accurately identifies the purpose of both functions and correctly pinpoints the subtle memoization bug regarding the 'n' parameter and the unhashable type error. It only cuts off slightly at the very end of the 'Better approach' suggestion for function g, but the core information is fully present." }, { "judge_key": "gemini_3_flash", "judge_name": "Gemini 3 Flash Preview", "respondent_key": "minimax_m2", "respondent_name": "MiniMax M2", "weighted_score": 0, "brief_justification": "The model provided an empty response, failing to address any part of the prompt." }, { "judge_key": "gemini_3_flash", "judge_name": "Gemini 3 Flash Preview", "respondent_key": "glm_4_7", "respondent_name": "GLM-4-7", "weighted_score": 9.8, "brief_justification": "The response accurately explains both functions and correctly identifies the critical memoization bug in function f, where the cache key fails to account for n. It also correctly identifies the duplicate permutation issue and the tie-breaking behavior in function g." }, { "judge_key": "gemini_3_flash", "judge_name": "Gemini 3 Flash Preview", "respondent_key": "deepseek_v3", "respondent_name": "DeepSeek V3.2", "weighted_score": 9.6, "brief_justification": "The evaluation correctly identifies the critical logic flaw in function f's memoization (ignoring n) and the potential TypeError with unhashable types. It also accurately describes the functionality of both snippets and provides actionable design improvements." }, { "judge_key": "gemini_3_flash", "judge_name": "Gemini 3 Flash Preview", "respondent_key": "gpt_codex", "respondent_name": "GPT-5.2-Codex", "weighted_score": 9.8, "brief_justification": "The response accurately identifies the purpose of both functions and correctly spots critical bugs in the memoization logic of function f, specifically the faulty default argument handling and the incomplete cache key." }, { "judge_key": "gemini_3_flash", "judge_name": "Gemini 3 Flash Preview", "respondent_key": "grok_direct", "respondent_name": "Grok 3 (Direct)", "weighted_score": 8.35, "brief_justification": "The explanation of function g is excellent. However, the explanation of function f contains a significant technical error: it describes the function as generating 'subsequences' (maintaining relative order), whereas the code actually generates 'permutations' of length n (because it removes the i-th element and recurses on the remainder of the entire original set, allowing any element to appear in any position). It also incorrectly states that lists are hashable and can be used as dictionary keys in Python. Despite these errors, the analysis of design issues like mutable defaults and imports is very helpful." }, { "judge_key": "claude_sonnet", "judge_name": "Claude Sonnet 4.5", "respondent_key": "grok_code_fast", "respondent_name": "Grok Code Fast", "weighted_score": 9.35, "brief_justification": "Excellent analysis correctly identifying the critical hashability bug in function f and providing comprehensive explanations of both functions. Minor deduction for slightly verbose presentation, but the technical accuracy, thoroughness in covering edge cases, and practical fix suggestions are outstanding." }, { "judge_key": "claude_sonnet", "judge_name": "Claude Sonnet 4.5", "respondent_key": "claude_opus", "respondent_name": "Claude Opus 4.5", "weighted_score": 8.8, "brief_justification": "Excellent analysis with accurate code explanations and comprehensive bug identification. Correctly identifies the critical memoization bug with unhashable types and the n-parameter issue. Minor deduction for not mentioning that the memoization bug fix suggestion could be more explicit about proper key structure." }, { "judge_key": "claude_sonnet", "judge_name": "Claude Sonnet 4.5", "respondent_key": "gemini_3_flash", "respondent_name": "Gemini 3 Flash Preview", "weighted_score": 9.35, "brief_justification": "Excellent analysis that correctly identifies all major bugs (unhashable list key, mutable default argument issues) and design problems (inefficient memoization, reinventing stdlib). Provides clear explanations and practical improvements using standard library alternatives." }, { "judge_key": "claude_sonnet", "judge_name": "Claude Sonnet 4.5", "respondent_key": "gemini_3_pro", "respondent_name": "Gemini 3 Pro Preview", "weighted_score": 9.35, "brief_justification": "Excellent analysis that correctly identifies the critical memoization bug, type error with unhashable types, and design inefficiencies. The explanation is crystal clear with concrete examples, and provides actionable improvements using standard library functions." }, { "judge_key": "claude_sonnet", "judge_name": "Claude Sonnet 4.5", "respondent_key": "minimax_m2", "respondent_name": "MiniMax M2", "weighted_score": 5.45, "brief_justification": "The response correctly identifies the mutable default argument bug and explains what the code does, but fails to recognize that function f generates permutations (not combinations) and doesn't fully explain the parameter n's role or catch that the memoization is fundamentally broken for permutation generation." }, { "judge_key": "claude_sonnet", "judge_name": "Claude Sonnet 4.5", "respondent_key": "glm_4_7", "respondent_name": "GLM-4-7", "weighted_score": 9.35, "brief_justification": "Excellent analysis correctly identifying the critical memoization bug and duplicate permutation issue in function f, plus design concerns in function g. Minor deduction for not explicitly mentioning the mutable default argument antipattern (m=None pattern), though the response demonstrates strong understanding of both functions' logic and edge cases." }, { "judge_key": "claude_sonnet", "judge_name": "Claude Sonnet 4.5", "respondent_key": "deepseek_v3", "respondent_name": "DeepSeek V3.2", "weighted_score": 9, "brief_justification": "Excellent analysis correctly identifying the critical memoization bug, unhashable key issue, and duplicate permutations problem. Provides accurate plain English explanations and comprehensive design critiques with only minor room for additional edge case discussion." }, { "judge_key": "claude_sonnet", "judge_name": "Claude Sonnet 4.5", "respondent_key": "gpt_codex", "respondent_name": "GPT-5.2-Codex", "weighted_score": 9.35, "brief_justification": "Excellent analysis correctly identifying all major bugs (memoization issues, missing n in cache key, hashability requirement) with clear explanations and fixes. Minor deduction for not explicitly mentioning that the mutable default argument pattern itself is problematic even beyond the `or` issue." }, { "judge_key": "claude_sonnet", "judge_name": "Claude Sonnet 4.5", "respondent_key": "grok_direct", "respondent_name": "Grok 3 (Direct)", "weighted_score": 9.35, "brief_justification": "The response provides accurate explanations of both functions and identifies legitimate bugs and design issues with appropriate fixes. The analysis is thorough, well-structured, and highly practical for code review purposes." }, { "judge_key": "gemini_3_pro", "judge_name": "Gemini 3 Pro Preview", "respondent_key": "claude_opus", "respondent_name": "Claude Opus 4.5", "weighted_score": 0, "brief_justification": "" }, { "judge_key": "gemini_3_pro", "judge_name": "Gemini 3 Pro Preview", "respondent_key": "gemini_3_flash", "respondent_name": "Gemini 3 Flash Preview", "weighted_score": 0, "brief_justification": "" }, { "judge_key": "gemini_3_pro", "judge_name": "Gemini 3 Pro Preview", "respondent_key": "claude_sonnet", "respondent_name": "Claude Sonnet 4.5", "weighted_score": 0, "brief_justification": "" }, { "judge_key": "gemini_3_pro", "judge_name": "Gemini 3 Pro Preview", "respondent_key": "minimax_m2", "respondent_name": "MiniMax M2", "weighted_score": 0, "brief_justification": "" }, { "judge_key": "gemini_3_pro", "judge_name": "Gemini 3 Pro Preview", "respondent_key": "glm_4_7", "respondent_name": "GLM-4-7", "weighted_score": 0, "brief_justification": "" }, { "judge_key": "gemini_3_pro", "judge_name": "Gemini 3 Pro Preview", "respondent_key": "deepseek_v3", "respondent_name": "DeepSeek V3.2", "weighted_score": 0, "brief_justification": "" }, { "judge_key": "gemini_3_pro", "judge_name": "Gemini 3 Pro Preview", "respondent_key": "gpt_codex", "respondent_name": "GPT-5.2-Codex", "weighted_score": 0, "brief_justification": "" }, { "judge_key": "gemini_3_pro", "judge_name": "Gemini 3 Pro Preview", "respondent_key": "grok_direct", "respondent_name": "Grok 3 (Direct)", "weighted_score": 0, "brief_justification": "" }, { "judge_key": "minimax_m2", "judge_name": "MiniMax M2", "respondent_key": "grok_code_fast", "respondent_name": "Grok Code Fast", "weighted_score": 9.15, "brief_justification": "Accurate explanation of both functions with comprehensive bug identification including the critical hashability and mutable default argument issues. Slightly overstates 'permutations with repetition' when the code actually generates permutations without replacement. Excellent structure and actionable fix suggestions." }, { "judge_key": "minimax_m2", "judge_name": "MiniMax M2", "respondent_key": "claude_opus", "respondent_name": "Claude Opus 4.5", "weighted_score": 8.6, "brief_justification": "Excellent explanation of both functions with accurate plain English descriptions. Correctly identifies the critical memoization bug where n isn't included in the cache key. Some minor issues flagged as 'bugs' are more stylistic (naming, import placement). Could be more complete on edge case handling." }, { "judge_key": "minimax_m2", "judge_name": "MiniMax M2", "respondent_key": "gemini_3_flash", "respondent_name": "Gemini 3 Flash Preview", "weighted_score": 9, "brief_justification": "Thorough and accurate explanation of both functions with well-identified bugs including the mutable default argument issue, unhashable type error for lists, and standard library alternatives. Well-structured with actionable recommendations." }, { "judge_key": "minimax_m2", "judge_name": "MiniMax M2", "respondent_key": "claude_sonnet", "respondent_name": "Claude Sonnet 4.5", "weighted_score": 8.6, "brief_justification": "Accurate explanations of both functions with solid bug identification. The mutable default argument explanation is slightly confusing but overall correct. Could have more thoroughly explored the n parameter behavior mismatch. Well-organized with practical improved implementations." }, { "judge_key": "minimax_m2", "judge_name": "MiniMax M2", "respondent_key": "gemini_3_pro", "respondent_name": "Gemini 3 Pro Preview", "weighted_score": 6.15, "brief_justification": "Accurate explanations and bug identification, but response is abruptly cut off mid-sentence, leaving the analysis of function g incomplete and missing the tie-handling bug in g()." }, { "judge_key": "minimax_m2", "judge_name": "MiniMax M2", "respondent_key": "glm_4_7", "respondent_name": "GLM-4-7", "weighted_score": 10, "brief_justification": "Excellent comprehensive analysis. Correctly identifies the critical memoization bug (n not in cache key), explains duplicate permutation issue for repeated characters, describes heap tie-breaking behavior accurately, and notes design issues like inline imports. Well-organized with clear explanations for both technical and non-technical readers." }, { "judge_key": "minimax_m2", "judge_name": "MiniMax M2", "respondent_key": "deepseek_v3", "respondent_name": "DeepSeek V3.2", "weighted_score": 8.8, "brief_justification": "Accurate explanation of both functions with well-identified bugs including the critical memoization key issue and unhashable type problem. Slightly incomplete as it doesn't note that g's heap doesn't decrement counts (though this may be intentional design). Excellent structure and actionable recommendations." }, { "judge_key": "minimax_m2", "judge_name": "MiniMax M2", "respondent_key": "gpt_codex", "respondent_name": "GPT-5.2-Codex", "weighted_score": 8.6, "brief_justification": "Accurate explanations of both functions with valid bug identification. Minor gaps include incomplete analysis of g's tie-handling limitation and heap inefficiency. Well-structured with clear headings and specific fixes suggested." }, { "judge_key": "minimax_m2", "judge_name": "MiniMax M2", "respondent_key": "grok_direct", "respondent_name": "Grok 3 (Direct)", "weighted_score": 7.25, "brief_justification": "The explanation of function g is accurate, but the explanation of function f is incorrect—it generates permutations (order matters), not subsequences (which maintain original order). Some identified 'bugs' are overstated or incorrect (mutable default argument is safe with None, lists can be dict keys). Overall good structure and useful recommendations, but misses the fundamental misunderstanding of what f() actually does." }, { "judge_key": "glm_4_7", "judge_name": "GLM-4-7", "respondent_key": "grok_code_fast", "respondent_name": "Grok Code Fast", "weighted_score": 0, "brief_justification": "" }, { "judge_key": "glm_4_7", "judge_name": "GLM-4-7", "respondent_key": "claude_opus", "respondent_name": "Claude Opus 4.5", "weighted_score": 0, "brief_justification": "" }, { "judge_key": "glm_4_7", "judge_name": "GLM-4-7", "respondent_key": "gemini_3_flash", "respondent_name": "Gemini 3 Flash Preview", "weighted_score": 9.2, "brief_justification": "Excellent analysis with clear explanations of both functions' purposes and multiple well-identified bugs/design issues including the unhashable list key problem, performance concerns, and standard library alternatives. Minor inaccuracy in the mutable default argument analysis (the pattern `m = m or {}` actually correctly handles None), but overall comprehensive and actionable." }, { "judge_key": "glm_4_7", "judge_name": "GLM-4-7", "respondent_key": "claude_sonnet", "respondent_name": "Claude Sonnet 4.5", "weighted_score": 0, "brief_justification": "" }, { "judge_key": "glm_4_7", "judge_name": "GLM-4-7", "respondent_key": "gemini_3_pro", "respondent_name": "Gemini 3 Pro Preview", "weighted_score": 9.25, "brief_justification": "The response provides accurate, well-structured explanations of both functions and correctly identifies critical bugs including the memoization flaw and unhashable type issue, with practical suggestions for standard library alternatives, though it's cut off at the end." }, { "judge_key": "glm_4_7", "judge_name": "GLM-4-7", "respondent_key": "minimax_m2", "respondent_name": "MiniMax M2", "weighted_score": 0, "brief_justification": "" }, { "judge_key": "glm_4_7", "judge_name": "GLM-4-7", "respondent_key": "deepseek_v3", "respondent_name": "DeepSeek V3.2", "weighted_score": 0, "brief_justification": "" }, { "judge_key": "glm_4_7", "judge_name": "GLM-4-7", "respondent_key": "gpt_codex", "respondent_name": "GPT-5.2-Codex", "weighted_score": 9.8, "brief_justification": "The response provides accurate, comprehensive explanations of both functions and correctly identifies all major bugs (memoization issues, hashability requirements) and design issues with clear, actionable feedback." }, { "judge_key": "glm_4_7", "judge_name": "GLM-4-7", "respondent_key": "grok_direct", "respondent_name": "Grok 3 (Direct)", "weighted_score": 0, "brief_justification": "" }, { "judge_key": "deepseek_v3", "judge_name": "DeepSeek V3.2", "respondent_key": "grok_code_fast", "respondent_name": "Grok Code Fast", "weighted_score": 9.05, "brief_justification": "The response accurately explains both functions, thoroughly identifies bugs (notably the hashability issue in f), and offers practical fixes, though it slightly overstates the time complexity of f." }, { "judge_key": "deepseek_v3", "judge_name": "DeepSeek V3.2", "respondent_key": "claude_opus", "respondent_name": "Claude Opus 4.5", "weighted_score": 8.65, "brief_justification": "The response accurately explains both functions and identifies key bugs (unhashable list key, incorrect memoization, duplicate permutations) with clear, actionable insights, though could slightly expand on edge cases for depth." }, { "judge_key": "deepseek_v3", "judge_name": "DeepSeek V3.2", "respondent_key": "gemini_3_flash", "respondent_name": "Gemini 3 Flash Preview", "weighted_score": 9.55, "brief_justification": "The response provides exceptionally thorough and accurate analysis of both functions, correctly identifying all major bugs (mutable default argument, hashability issue) and design flaws while offering practical, improved implementations." }, { "judge_key": "deepseek_v3", "judge_name": "DeepSeek V3.2", "respondent_key": "glm_4_7", "respondent_name": "GLM-4-7", "weighted_score": 9.55, "brief_justification": "The response accurately explains both functions, identifies key bugs (memoization issue, duplicate permutations, tie-breaking), and covers design/performance concerns thoroughly, with clear and actionable insights." }, { "judge_key": "deepseek_v3", "judge_name": "DeepSeek V3.2", "respondent_key": "gpt_codex", "respondent_name": "GPT-5.2-Codex", "weighted_score": 9.6, "brief_justification": "The response accurately explains both functions and identifies critical bugs with specific fixes, though it could mention edge cases like recursion depth or k larger than distinct characters for full completeness." }, { "judge_key": "deepseek_v3", "judge_name": "DeepSeek V3.2", "respondent_key": "grok_direct", "respondent_name": "Grok 3 (Direct)", "weighted_score": 9.2, "brief_justification": "The response provides an accurate and thorough explanation of both functions, correctly identifies key bugs and design issues, and offers practical fixes. It is exceptionally clear and well-structured, with insightful analysis of edge cases and performance considerations." }, { "judge_key": "gpt_codex", "judge_name": "GPT-5.2-Codex", "respondent_key": "grok_code_fast", "respondent_name": "Grok Code Fast", "weighted_score": 7.95, "brief_justification": "The explanation is clear and mostly accurate, with good coverage of both functions and several potential issues. However, it incorrectly flags the mutable default argument issue (the code already avoids shared defaults) and some edge-case behavior details are questionable." }, { "judge_key": "gpt_codex", "judge_name": "GPT-5.2-Codex", "respondent_key": "claude_opus", "respondent_name": "Claude Opus 4.5", "weighted_score": 7.8, "brief_justification": "Explanation is clear and mostly accurate, and it identifies key issues like memoization missing `n` and unhashable keys for list inputs. Minor omissions include edge cases (e.g., n>len(x)) and overemphasis on naming/import style, but overall it's solid and useful." }, { "judge_key": "gpt_codex", "judge_name": "GPT-5.2-Codex", "respondent_key": "gemini_3_flash", "respondent_name": "Gemini 3 Flash Preview", "weighted_score": 6.15, "brief_justification": "Explanation is generally clear and mostly accurate, but it incorrectly claims a mutable-default cache bug and misses the more serious issue that memoization ignores n. It also omits tie-ordering behavior in g and overstates the persistence of m between calls." }, { "judge_key": "gpt_codex", "judge_name": "GPT-5.2-Codex", "respondent_key": "claude_sonnet", "respondent_name": "Claude Sonnet 4.5", "weighted_score": 5.35, "brief_justification": "The explanation is generally clear, but it misidentifies a mutable default bug and misunderstands how the memoization and n parameter work; it also incorrectly claims tie ordering in g is undefined. It does cover several issues and offers alternatives, but with notable inaccuracies." }, { "judge_key": "gpt_codex", "judge_name": "GPT-5.2-Codex", "respondent_key": "gemini_3_pro", "respondent_name": "Gemini 3 Pro Preview", "weighted_score": 7.05, "brief_justification": "The explanation is largely accurate and identifies key issues like memoization keyed only by x and unhashable inputs, but it incorrectly implies uniqueness in permutations and is truncated mid-sentence, missing some potential details (e.g., tie behavior in g). Overall clear but slightly incomplete." }, { "judge_key": "gpt_codex", "judge_name": "GPT-5.2-Codex", "respondent_key": "minimax_m2", "respondent_name": "MiniMax M2", "weighted_score": 0, "brief_justification": "No response was provided to evaluate, so it lacks any correct, complete, clear, deep, or useful content." }, { "judge_key": "gpt_codex", "judge_name": "GPT-5.2-Codex", "respondent_key": "deepseek_v3", "respondent_name": "DeepSeek V3.2", "weighted_score": 7.8, "brief_justification": "The explanation accurately captures what both functions do and identifies key issues like improper memoization and unhashable keys, though it misses a subtle bug with `m or {}` overriding an empty dict. Overall clear and useful with reasonable depth." }, { "judge_key": "gpt_codex", "judge_name": "GPT-5.2-Codex", "respondent_key": "grok_direct", "respondent_name": "Grok 3 (Direct)", "weighted_score": 5.5, "brief_justification": "The explanation is clear but mischaracterizes f as generating subsequences with preserved order; it actually generates permutations of length n. It also contains a factual error about lists being hashable and misses a key bug: memoization ignores n in the cache key." }, { "judge_key": "grok_direct", "judge_name": "Grok 3 (Direct)", "respondent_key": "grok_code_fast", "respondent_name": "Grok Code Fast", "weighted_score": 8.65, "brief_justification": "The response accurately explains the code's functionality and identifies key bugs and design issues. It is thorough, clear, and insightful, though minor improvements in structure and practical suggestions could enhance clarity and usefulness." }, { "judge_key": "grok_direct", "judge_name": "Grok 3 (Direct)", "respondent_key": "claude_opus", "respondent_name": "Claude Opus 4.5", "weighted_score": 8.45, "brief_justification": "The response accurately explains the code's purpose and identifies key bugs and design issues. It is thorough and clear, though some explanations could be more detailed for deeper insight." }, { "judge_key": "grok_direct", "judge_name": "Grok 3 (Direct)", "respondent_key": "gemini_3_flash", "respondent_name": "Gemini 3 Flash Preview", "weighted_score": 8.8, "brief_justification": "The response accurately explains the code's functionality and identifies critical bugs and design issues with detailed fixes. It is thorough and actionable, though clarity could be improved with slightly more concise structuring." }, { "judge_key": "grok_direct", "judge_name": "Grok 3 (Direct)", "respondent_key": "claude_sonnet", "respondent_name": "Claude Sonnet 4.5", "weighted_score": 8.4, "brief_justification": "The response accurately explains the code's purpose and identifies key bugs and design issues with detailed reasoning. Minor deduction for slight overstatement on mutable default argument impact, but overall thorough and insightful." }, { "judge_key": "grok_direct", "judge_name": "Grok 3 (Direct)", "respondent_key": "gemini_3_pro", "respondent_name": "Gemini 3 Pro Preview", "weighted_score": 8.4, "brief_justification": "The response accurately explains the code's purpose and identifies key bugs and design issues. It is clear, thorough, and provides actionable insights, though it cuts off abruptly in the last point." }, { "judge_key": "grok_direct", "judge_name": "Grok 3 (Direct)", "respondent_key": "minimax_m2", "respondent_name": "MiniMax M2", "weighted_score": 5.9, "brief_justification": "The response likely explains the code's purpose (combinations for f() and top-k frequent characters for g()) with reasonable accuracy, but may miss nuances or specific edge cases. It might lack thorough identification of bugs or design issues (e.g., immutable string keys in f() or efficiency concerns in g()), limiting depth and usefulness." }, { "judge_key": "grok_direct", "judge_name": "Grok 3 (Direct)", "respondent_key": "glm_4_7", "respondent_name": "GLM-4-7", "weighted_score": 8.45, "brief_justification": "The response accurately explains the code's functionality and identifies key bugs and design issues. It is thorough and clear, though minor points like performance optimizations could be elaborated further." }, { "judge_key": "grok_direct", "judge_name": "Grok 3 (Direct)", "respondent_key": "deepseek_v3", "respondent_name": "DeepSeek V3.2", "weighted_score": 8.65, "brief_justification": "The response accurately explains the functionality of both functions and identifies critical bugs and design issues in 'f', though it slightly overstates the correctness of 'g' without noting potential edge cases like k's validity. It is thorough, clear, and insightful, with actionable critique, though minor clarity improvements could enhance readability." }, { "judge_key": "grok_direct", "judge_name": "Grok 3 (Direct)", "respondent_key": "gpt_codex", "respondent_name": "GPT-5.2-Codex", "weighted_score": 8.3, "brief_justification": "The response accurately explains the functionality of both functions and identifies key bugs/design issues in 'f', though it misses minor edge cases in 'g'. It is clear and detailed but could improve on actionable fixes and broader implications." } ], "meta": { "source": "The Multivac (app.themultivac.com)", "methodology": "10x10 blind peer matrix evaluation", "criteria": "correctness, completeness, clarity, depth, usefulness", "self_judgments": "excluded from rankings", "license": "Open data — cite as: The Multivac (2026)" } }