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【HDU - 1564 】Play a game (博弈问题,找规律,奇偶博弈)

發(fā)布時間:2023/12/10 编程问答 24 豆豆
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題干:

New Year is Coming!?
ailyanlu is very happy today! and he is playing a chessboard game with 8600.?
The size of the chessboard is n*n. A stone is placed in a corner square. They play alternatively with 8600 having the first move. Each time, player is allowed to move the stone to an unvisited neighbor square horizontally or vertically. The one who can't make a move will lose the game. If both play perfectly, who will win the game?

Input

The input is a sequence of positive integers each in a separate line.?
The integers are between 1 and 10000, inclusive,(means 1 <= n <= 10000) indicating the size of the chessboard. The end of the input is indicated by a zero.

Output

Output the winner ("8600" or "ailyanlu") for each input line except the last zero.?
No other characters should be inserted in the output.

Sample Input

2 0

Sample Output

8600

解題報告:

找規(guī)律得偶數(shù)則先手勝,奇數(shù)則后手勝

貼兩篇證明:

http://www.cnblogs.com/kuangbin/archive/2013/07/22/3204654.html

https://blog.csdn.net/topc0o0der/article/details/5928391

AC代碼:

#include<bits/stdc++.h>using namespace std;int main() {int n;while(~scanf("%d",&n) && n) {if((n&1) == 1) puts("ailyanlu");else puts("8600");}return 0 ; }

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