Lambdia

Types of numbers

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One Gold Bar, Two Cuts, Seven Evenings: 1, 2 and 4

Seven pieces cost six cuts and the schedule pays correctly, so the six-cut answer breaks one constraint and nothing else. Because the worker can hand pieces back, the contract is on his holding rather than on the transfer, and the ledger turns out to be a three-bit counter. Brute force finds 1-2-4 is the only three-piece solution.

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