HDU--1564 -- play a game [博弈]
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Play a game
Total Submission(s): 1126 Accepted Submission(s): 920
Problem Description
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?
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.
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.
No other characters should be inserted in the output.
Sample Input
20
Sample Output
8600
Code:
在一条边上从一个端点到另一个端点,判断其奇偶
另一条边是一样的,这两条边是最短路径,如果绕路,必为偶数,所以不用判断了~
#include<stdio.h>int main(){int n;while(scanf("%d",&n),n){if((n-1)%2) printf("8600\n");else printf("ailyanlu\n"); }return 0;}
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