求出最大匹配后,首先判断是否 $C=M$,这其实是一个 2-SAT 问题,即一条边两端点至少选一个,不选未匹配点,一对匹配点不能都选。接着判断 $C=M+1$,这也可以通过枚举多选的未匹配点或是两端点都选的匹配边之后 2-SAT 解决。时间复杂度 $O(n^3)$。
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Discussion #321 for Problem #961. Smol Vertex Cover
Type: Editorial
Status: Open
Posted by: jiangly
Posted at: 2025-12-14 07:04:43
Last updated: 2025-12-14 07:04:45
题解
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