BZOJ 1228: [SDOI2009]E&D(SG定理)

时间:2023-12-31 21:48:56

这道嘛,很容易就看出是个nim和,然后问题就是怎么算子问题的sg函数了

先暴力个表看下规律,很容易就找出来了~~~(百度空间又渣了,图贴不出来= =)

32

0 1 0 2 0 1 0 3 0 1 0 2 0 1 0 4 0 1 0 2 0 1 0 3 0 1 0 2 0 1 0 5

1 1 2 2 1 1 3 3 1 1 2 2 1 1 4 4 1 1 2 2 1 1 3 3 1 1 2 2 1 1 5 5

0 2 0 2 0 3 0 3 0 2 0 2 0 4 0 4 0 2 0 2 0 3 0 3 0 2 0 2 0 5 0 5

2 2 2 2 3 3 3 3 2 2 2 2 4 4 4 4 2 2 2 2 3 3 3 3 2 2 2 2 5 5 5 5

0 1 0 3 0 1 0 3 0 1 0 4 0 1 0 4 0 1 0 3 0 1 0 3 0 1 0 5 0 1 0 5

1 1 3 3 1 1 3 3 1 1 4 4 1 1 4 4 1 1 3 3 1 1 3 3 1 1 5 5 1 1 5 5

0 3 0 3 0 3 0 3 0 4 0 4 0 4 0 4 0 3 0 3 0 3 0 3 0 5 0 5 0 5 0 5

3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 5 5 5 5 5 5 5 5

0 1 0 2 0 1 0 4 0 1 0 2 0 1 0 4 0 1 0 2 0 1 0 5 0 1 0 2 0 1 0 5

1 1 2 2 1 1 4 4 1 1 2 2 1 1 4 4 1 1 2 2 1 1 5 5 1 1 2 2 1 1 5 5

0 2 0 2 0 4 0 4 0 2 0 2 0 4 0 4 0 2 0 2 0 5 0 5 0 2 0 2 0 5 0 5

2 2 2 2 4 4 4 4 2 2 2 2 4 4 4 4 2 2 2 2 5 5 5 5 2 2 2 2 5 5 5 5

0 1 0 4 0 1 0 4 0 1 0 4 0 1 0 4 0 1 0 5 0 1 0 5 0 1 0 5 0 1 0 5

1 1 4 4 1 1 4 4 1 1 4 4 1 1 4 4 1 1 5 5 1 1 5 5 1 1 5 5 1 1 5 5

0 4 0 4 0 4 0 4 0 4 0 4 0 4 0 4 0 5 0 5 0 5 0 5 0 5 0 5 0 5 0 5

4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5

0 1 0 2 0 1 0 3 0 1 0 2 0 1 0 5 0 1 0 2 0 1 0 3 0 1 0 2 0 1 0 5

1 1 2 2 1 1 3 3 1 1 2 2 1 1 5 5 1 1 2 2 1 1 3 3 1 1 2 2 1 1 5 5

0 2 0 2 0 3 0 3 0 2 0 2 0 5 0 5 0 2 0 2 0 3 0 3 0 2 0 2 0 5 0 5

2 2 2 2 3 3 3 3 2 2 2 2 5 5 5 5 2 2 2 2 3 3 3 3 2 2 2 2 5 5 5 5

0 1 0 3 0 1 0 3 0 1 0 5 0 1 0 5 0 1 0 3 0 1 0 3 0 1 0 5 0 1 0 5

1 1 3 3 1 1 3 3 1 1 5 5 1 1 5 5 1 1 3 3 1 1 3 3 1 1 5 5 1 1 5 5

0 3 0 3 0 3 0 3 0 5 0 5 0 5 0 5 0 3 0 3 0 3 0 3 0 5 0 5 0 5 0 5

3 3 3 3 3 3 3 3 5 5 5 5 5 5 5 5 3 3 3 3 3 3 3 3 5 5 5 5 5 5 5 5

0 1 0 2 0 1 0 5 0 1 0 2 0 1 0 5 0 1 0 2 0 1 0 5 0 1 0 2 0 1 0 5

1 1 2 2 1 1 5 5 1 1 2 2 1 1 5 5 1 1 2 2 1 1 5 5 1 1 2 2 1 1 5 5

0 2 0 2 0 5 0 5 0 2 0 2 0 5 0 5 0 2 0 2 0 5 0 5 0 2 0 2 0 5 0 5

2 2 2 2 5 5 5 5 2 2 2 2 5 5 5 5 2 2 2 2 5 5 5 5 2 2 2 2 5 5 5 5

0 1 0 5 0 1 0 5 0 1 0 5 0 1 0 5 0 1 0 5 0 1 0 5 0 1 0 5 0 1 0 5

1 1 5 5 1 1 5 5 1 1 5 5 1 1 5 5 1 1 5 5 1 1 5 5 1 1 5 5 1 1 5 5

0 5 0 5 0 5 0 5 0 5 0 5 0 5 0 5 0 5 0 5 0 5 0 5 0 5 0 5 0 5 0 5

5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5

只能这样了= =

很容易就能写出来了= =

CODE:

#include<cstdio>

#include<iostream>

#include<algorithm>

#include<cstring>

using namespace std;

int solve(int x,int y) {

int n=31;

for (int m=30;m;m--) {

int t=1<<m;

if (x<=t&&y<=t) n=m;

if (x>t) x-=t;

if (y>t) y-=t;

}

return (x==1&&y==1)?0:n;

}

int main(){

int T;

scanf("%d",&T);

while (T--) {

int n,ans=0;

scanf("%d",&n);

for (int i=1;i<=n;i+=2){

int x,y;

scanf("%d%d",&x,&y);

ans^=solve(x,y);

}

printf("%s\n",ans?"YES":"NO");

}

return 0;

}