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Paper · 1305.1010 · 2013

An Optimal Mastermind (4,7) Strategy and More Results in the Expected Case

arXiv · PDF · Open in the Atlas

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Abstract

This paper presents an optimal strategy for solving the 4 peg-7 color Mastermind MM(4,7) in the expected case (4.676) along with optimal strategies or upper bounds for other values. The program developed is using a depth-first branch and bound algorithm relying on tight upper bound, dynamic lower bound evaluation and guess equivalence to prune symmetric tree branches.

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