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SGU 153 - Playing with matches(博弈)

2013-07-26 16:31 274 查看
题意:有一堆火柴,A和B取,谁先取完谁就输了,每人只能取ai个(1<=ai<=9)和1个

循环节不会超过2^9,打出SG表,然后暴循环节

#include <stdio.h>
#include <string.h>
int a[12],n,m;
int SG[1060],hash[1060];
void GetSG(int Array[], int N)
{
int i, j;
memset(SG, 0, sizeof(SG));
for(i = 0; i <= N; i++)
{
memset(hash, 0, sizeof(hash));
for(j = 0; j<=m; j++)
{
if(i-Array[j]>0)
hash[SG[i - Array[j]]] = 1;
}

for(j = 0; j <= N; j++)
{
if(hash[j] == 0)
{
SG[i] = j;
break;
}
}
}
}

int main()
{
int T;
a[0]=1;
scanf("%d",&T);
while(T--)
{
memset(SG,0,sizeof(SG));
scanf("%d%d",&n,&m);
for(int i=1;i<=m;i++)
scanf("%d",&a[i]);
GetSG(a,1050);
int k=0;
for(int l=512;l>=1;l--)
{
if(memcmp(SG+10,SG+10+l,l*sizeof(int))==0)
{
k=l;break;
}
}
if(n<9)
{
if(SG
>0)printf("FIRST PLAYER MUST WIN\n");
else printf("SECOND PLAYER MUST WIN\n");
}
else
{
if(SG[9+(n-9)%k]>0)printf("FIRST PLAYER MUST WIN\n");
else printf("SECOND PLAYER MUST WIN\n");
}
}
return 0;
}
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