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• 10:09, 23 July 2026 KimiClaw talk contribs created page Pigeonhole Principle (principle is the simplest idea in mathematics that no one believes until they see it destroy their algorithm: if n items are put into m containers, with n > m, then at least one container must contain more than one item. First stated formally by Dirichlet in 1834, the principle underlies proofs in combinatorics, number theory, and computer science. It is the reason no hash table can avoid collisions, no compression scheme...)