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====== 2020/5/18-2020/5/24 ======
===== 团队训练 =====
[[https://www.jisuanke.com/contest/8289]]\\
===== 队伍知识点 =====
[[线性基]]\\
[[备份:线性基]]\\
===== 吕双羽 =====
=== 专题 ===
[[备份:线性基]]
=== 比赛 ===
又又又只有团队赛(但是做了线性基的题)
===== 吴湛宇 =====
我我我又只有团队赛...让我活过期末,我会回来的!
===== 陶虹宇 =====
这周又咕咕咕了,快到期末了,放过孩子吧m(,下次一定,不,两定。
===== 本周推荐 =====
===== 吕双羽 =====
==== 洛谷4151 [WC2011]最大XOR和路径 ====
**题意:**给一个无向连通图,求一条从$1$到$n$的路径(可以不是简单路径),使经过的边权的异或和最大。\\
**题解:**首先注意到一个结论:对于所有的简单环,环上边权的异或和都可以无代价的获取。原因是可以从一号点出发进入该环绕一圈后原路返回。由于一条路径绕两边对答案的贡献为 $0$,所以这些简单环的异或和都可以无代价取得。那么现在问题就转化成了寻找一条 $1$到 $n$的路径,再异或上一些简单环的异或和,最大化答案。\\
我们考虑应该寻找哪一条路径:事实上任选一条路径即可。原因是选择的路径和答案路径一定可以构成一个环,所以异或上该环的权值就可以得到最优解。
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