请看 2021年AMO题,就是典型的 counting 题

来源: 兄贵 2022-12-01 16:25:11 [] [博客] [旧帖] [给我悄悄话] 本文已被阅读: 次 (2078 bytes)
回答: 这些算法完全不需要USAMO, LOL阿拉拉2022-12-01 12:40:37

Carina has three pins, labeled $A, B$, and $C$, respectively, located at the origin of the coordinate plane. In a move, Carina may move a pin to an adjacent lattice point at distance $1$ away. What is the least number of moves that Carina can make in order for triangle $ABC$ to have area 2021?

(A lattice point is a point $(x, y)$ in the coordinate plane where $x$ and $y$ are both integers, not necessarily positive.)

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