取石子游戏_hdu_2516(博弈规律).java

取石子游戏

Time Limit: 2000/1000 MS (Java/Others)    Memory Limit: 32768/32768 K (Java/Others)
Total Submission(s): 2228    Accepted Submission(s): 1277

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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import java.io.InputStreamReader;
import java.util.Scanner;

public class Main{
	public static void main(String[] args) {
		Scanner input=new Scanner(new InputStreamReader(System.in));
		int n;
		while((n=input.nextInt())!=0){
			if(n<4){
				System.out.println("Second win");
				continue;
			}
			long a=2;
			long b=3;
			long c=0;
			for(int i=1;;i++){
				c=a+b;
				a=b;
				b=c;
				if(c>=n)
					break;
			}
			if(c==n){
				System.out.println("Second win");
			}
			else
				System.out.println("First win");
		}
	}
}