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时间限制:C/C++ 1秒,其他语言2秒
空间限制:C/C++ 262144K,其他语言524288K
64bit IO Format: %lld
题目描述
kiki和bob在玩一个游戏,他们收集了一些石子,约定两人轮流从这些石子中取出一部分,但是每次只能取1、2或3颗石子,无法继续取的人输了,kiki和bob都非常聪明,他们总是按照最有利于自己的方式进行游戏,请你预测最后谁会赢得游戏,如果先手胜利输出kiki,否则输出bob。
输入描述:
输入一个整数n(1<=n<=10^9)代表一共有多少颗石子。
输出描述:
如果先手胜利输出kiki,否则输出bob。
示例1
输入
10
输出
kiki
示例2
输入
8
输出
bob
思路:
可以先列举几个数试一下:
1、若只有1 、2、3个石子,先手必赢;
2、若有4个石子,先手必输;
3、若有5、6、7个石子,先手可让石子的状态变成4个,则后手面对4个石子的局面必输;
4.若有8个石子,先手会让后手面对第三种情况,则自己必输,后面以此类推;
综上可以得出结论:若有((3 + 1)* n)个石子,先手必输;
代码:
#include<bits/stdc++.h>
#include<iostream>
#include<cstdio>
#include<cstdlib>
#include<cmath>
#include<cstring>
using namespace std;
int main()
{
int n;
cin >> n;
if(n % 4 == 0)
{
cout << "bob" << endl;
}
else
{
cout << "kiki" << endl;
}
return 0;
}