第七届 山东省ACM Triple Nim（找规律 待整理）

Triple Nim

Time Limit: 2000MS Memory Limit: 65536KB

Submit Statistic

Problem Description

Alice and Bob are always playing all kinds of Nim games and Alice always goes first. Here is the rule of Nim game:

    There are some distinct heaps of stones. On each turn, two players should remove at least one stone from just one heap. Two player will remove stone one after another. The player who remove the last stone of the last heap will win.

    Alice always wins and Bob is very unhappy. So he decides to make a game which Alice will never win. He begins a game called “Triple Nim”, which is the Nim game with three heaps of stones. He’s good at Nim game but bad as math. With exactly N stones, how many ways can he finish his target? Both Alice and Bob will play optimally.

Input

 Multiple test cases. The first line contains an integer T (T <= 100000), indicating the number of test case. Each case contains one line, an integer N (3 <= N <= 1000000000) indicating the number of stones Bob have.

Output

 One line per case. The number of ways Bob can make Alice never win.

Example Input

33614

Example Output

014

Hint

 In the third case, Bob can make three heaps (1,6,7), (2,5,7), (3,4,7) or (3,5,6).

Author

  “浪潮杯”山东省第七届ACM大学生程序设计竞赛

题意:给你n个石子，分成三堆，计算通过Nim博弈的规则使得对方不能获胜的方案数。

思路：打表找规律题，不解释。

参考网址：http://blog.csdn.net/huayunhualuo/article/details/51626212

#include <bits/stdc++.h>

using namespace std;

typedef long long LL;

int main()
{
    int T;

    LL n;

    scanf("%d",&T);

    while(T--)
    {
        scanf("%lld",&n);

        if(n%2) printf("0
");
        else 
        {
            int s = 0 ;
            while(n)
            {
                if(n%2) s++;

                n/=2;
            }

            LL ans = (LL(pow(3,s))-3)/6;

            printf("%lld
",ans);
        }
    }
    return 0;
}