{"id":794681,"date":"2021-11-10T12:49:31","date_gmt":"2021-11-10T20:49:31","guid":{"rendered":"https:\/\/www.microsoft.com\/en-us\/research\/?post_type=msr-research-item&p=794681"},"modified":"2021-11-10T12:49:31","modified_gmt":"2021-11-10T20:49:31","slug":"programming-puzzles","status":"publish","type":"msr-research-item","link":"https:\/\/www.microsoft.com\/en-us\/research\/publication\/programming-puzzles\/","title":{"rendered":"Programming Puzzles"},"content":{"rendered":"

We introduce a new type of programming challenge called programming puzzles<\/em>, as an objective and comprehensive evaluation of program synthesis, and release an open-source dataset of Python Programming Puzzles (opens in new tab)<\/span><\/a> (P3). Each puzzle is defined by a short Python program f<\/em>, and the goal is to find an input which makes f<\/em> return True. The puzzles are objective in that each one is specified entirely by the source code of its verifier f<\/em>, so evaluating f<\/em> is all that is needed to test a candidate solution. They do not require an answer key or input\/output examples, nor do they depend on natural language understanding. The dataset is comprehensive in that it spans problems of a range of difficulties and domains, ranging from trivial string manipulation problems, to classic programming puzzles (e.g., Tower of Hanoi), to interview\/competitive-programming problems (e.g., dynamic programming), to longstanding open problems in algorithms and mathematics (e.g., factoring). We develop baseline enumerative program synthesis, GPT-3 and Codex solvers that are capable of solving puzzles—even without access to any reference solutions—by learning from their own past solutions. Codex performs best, solving up to 18% of 397 test problems with a single try and 80\\% of the problems with 1,000 tries per problem. In a small user study, we find a positive correlation between puzzle-solving performance and coding experience, and between the puzzle difficulty for humans and AI solvers. Therefore, further improvements on P3 could have a significant impact on many program synthesis areas.<\/p>\n","protected":false},"excerpt":{"rendered":"

We introduce a new type of programming challenge called programming puzzles, as an objective and comprehensive evaluation of program synthesis, and release an open-source dataset of Python Programming Puzzles (P3). Each puzzle is defined by a short Python program f, and the goal is to find an input which makes f return True. The puzzles 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