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IL-GROSSMAN 1995 Problem 3

    Two thieves stole an open chain with 2k2k white beads and 2m2m black beads. They want to share the loot equally, by cutting the chain to pieces in such a way that each one gets kk white beads and mm black beads. What is the minimal number of cuts that is always sufficient?

    Dataset text AI-MO AoPS. Quoted with source.

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