Play Apple(博弈)

Problem 1604 - Play Apple

Time Limit: 1000MS   Memory Limit: 65536KB    Total Submit: 434  Accepted: 174  Special Judge: No

Description

There are N apples. Two people take turns to either:  1. Divide the apple into two piles with different numbers. 2. The other people selects a pile of apples as the beginning of the next turn. If someone can not meet the requirements, he is lost. Will the first one win the game if both use the best strategy?

Input

There are multiple test cases. The first line of each case contains a integer N. ( 1 <= N <= 1000000000 )

Output

If the first person will win, output “Yes”. Otherwise, output “No”.

Sample Input

2 3 4

Sample Output

No Yes No

题解：题意是把一个数分两半，数字不能相同，一个人不能分就输了；挺好找的规律，一下就找到了，从开始找，两个必败对应必胜；否则必败；

代码：

#include<iostream>
#include<cstdio>
#include<cstring>
#include<cmath>
#include<algorithm>
using namespace std;
const int INF = 0x3f3f3f3f;
typedef long long LL;
int main(){
    LL N;
    while(~scanf("%lld",&N)){
        if(N == 1 || N == 2){
            puts("No");
        }
        else if(N == 3){
            puts("Yes");
        }
        else{
            if((N - 1) % 3 == 0){
                puts("No");
            }
            else puts("Yes");
        }
    }
    return 0;
}