hdu 2516 取石子游戏

题目链接：http://acm.hdu.edu.cn/showproblem.php?pid=2516

题意分析：乍一看是巴什博弈，后来发现博弈只是个噱头，关键还是找规律。

/*取石子游戏

Time Limit: 2000/1000 MS (Java/Others)    Memory Limit: 32768/32768 K (Java/Others)
Total Submission(s): 3080    Accepted Submission(s): 1790


Problem Description
1堆石子有n个,两人轮流取.先取者第1次可以取任意多个，但不能全部取完.以后每次取的石子数不能超过上次取子数的2倍。取完者胜.先取者负输出"Second win".先取者胜输出"First win".
 

Input
输入有多组.每组第1行是2<=n<2^31. n=0退出.
 

Output
先取者负输出"Second win". 先取者胜输出"First win". 
参看Sample Output.
 

Sample Input
2
13
10000
0
 

Sample Output
Second win
Second win
First win
 

Source
ECJTU 2008 Autumn Contest
*/
//Fibonacci+博弈
#include <cstdio>
#include <cstring>
const int maxn = 50 + 10;
int a[maxn];
void init()
{
    a[1] = 1; a[2] = 2;
    for(int i = 3; i < maxn; i++) a[i] = a[i-1] + a[i-2];
}
int main()
{
    int m;
    init();
    while(~scanf("%d", &m) && m){
        int flag = 0;
        for(int i = 1; i < maxn; i++){
            if(a[i] == m){
                flag = 1;
                break;
            }
        }
        if(flag) printf("Second win\n");
        else printf("First win\n");
    }
    return 0;
}