Problem F. Grab The Tree HDU - 6324
题意:
给出一棵n个节点的树,每个节点有一个权值,Q和T玩游戏,Q先选一些不相邻的节点,T选剩下的节点,每个人的分数是所选节点的权值的异或和,权值大的胜出,问胜出的是谁。
题解:
话说,这题后面的边跟解的过程半毛钱关系没有,但是自己就是想不到,这博弈。。。
设sum为所有点权的异或和,A为先手得分,B为后手得分。
若sum=0,则A=B,故无论如何都是平局。
否则考虑sum二进制下最高的1所在那位,一定有奇数个点那一位为1。若先手拿走任意一个那一位为1的点,则B该位为0,故先手必胜。
#include<iostream>
#include<cstdio>
#include<cstring>
#include<algorithm>
using namespace std; int main()
{
int t;
scanf("%d",&t);
while(t--){
int n,ans=;
scanf("%d",&n);
for(int i=;i<=n;i++){
int a;
scanf("%d",&a);
ans^=a;
}
for(int i=;i<n-;i++){
int u,v;
scanf("%d%d",&u,&v);
}
if(ans==) cout<<"D"<<endl;
else cout<<"Q"<<endl;
}
}
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