题意:
两个人玩乘法游戏,每个人只能乘以2~9,谁先达到>=n谁胜,先手只能乘以1.
思路:
SG的: 除 任意一步所能转移到的子局面的SG值以外的最小非负整数。
直接打表找到规律。
#include <iostream> #include <cstdio> #include <cstring> #include <set> using namespace std; const int maxn = 10005; int sg[maxn]; void SG() { sg[0] = 0; for(int i = 2;i <= maxn; i++) { set<int>s; for(int j = 2;j <= 9; j++) { int temp = i/j; if(i%j) temp++; s.insert(sg[temp]); } int now = 0; while(s.count(now)) now++; sg[i] = now; } } /** 打表发现:先手1~9,19~162,325~2916必胜 满足前一个区间l,r->r*2+1,(r*2)*9 */ int main() { //SG(); //freopen("in.txt","r",stdin); int n; while(scanf("%d",&n) != EOF) { int l = 1,r = 9; int flag = 1; while(1) { if(l <= n && n <= r) { flag = true; break; } else if(n < l) { flag = false; break; } l = r*2+1; r = r*2*9; } if(flag) printf("Stan wins.\n"); else printf("Ollie wins.\n"); } return 0; }