20-取石子动态规则(hdu2516 斐波那契博弈)

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

　　　　　　　　　　　　　　取石子游戏

Time Limit: 2000/1000 MS (Java/Others)    Memory Limit: 32768/32768 K (Java/Others)
Total Submission(s): 6603    Accepted Submission(s): 3987

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

 

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思路：此题是动态的规则，对于先手，如果n是斐波那契数则为败局。

#include <iostream>
using namespace std;

int main(){
	int n, m;
	int a[50] = {2, 3};
	for(int i = 2; i < 50; i++){
		a[i] = a[i - 1] + a[i - 2];
	}
	while(cin >> n && n){
		int flag = 0;
		for(int i = 0; i < 50; i++){
			if(a[i] == n){
				flag = 1;
				break;
			}
		}
		if(flag){
			cout << "Second win" << endl;
		}
		else{
			cout << "First win" << endl;
		}
	}
	return 0;
}