CodeForces - 451A Game With Sticks

After winning gold and silver in IOI 2014, Akshat and Malvika want to have some fun. Now they are playing a game on a grid made of n horizontal and m vertical sticks.
An intersection point is any point on the grid which is formed by the intersection of one horizontal stick and one vertical stick.
In the grid shown below, n = 3 and m = 3. There are n + m = 6 sticks in total (horizontal sticks are shown in red and vertical sticks are shown in green). There are n·m = 9 intersection points, numbered from 1 to 9.

The rules of the game are very simple. The players move in turns. Akshat won gold, so he makes the first move. During his/her move, a player must choose any remaining intersection point and remove from the grid all sticks which pass through this point. A player will lose the game if he/she cannot make a move (i.e. there are no intersection points remaining on the grid at his/her move).
Assume that both players play optimally. Who will win the game?
Input
The first line of input contains two space-separated integers, n and m (1 ≤ n, m ≤ 100).
Output
Print a single line containing “Akshat” or “Malvika” (without the quotes), depending on the winner of the game.
Examples
Input
2 2
Output
Malvika
Input
2 3
Output
Malvika
Input
3 3
Output
Akshat
Note
Explanation of the first sample:
The grid has four intersection points, numbered from 1 to 4.

If Akshat chooses intersection point 1, then he will remove two sticks (1 - 2 and 1 - 3). The resulting grid will look like this.

Now there is only one remaining intersection point (i.e. 4). Malvika must choose it and remove both remaining sticks. After her move the grid will be empty.
In the empty grid, Akshat cannot make any move, hence he will lose.
Since all 4 intersection points of the grid are equivalent, Akshat will lose no matter which one he picks.
(有图懒得上传,可在原址查看)
问题链接http://codeforces.com/problemset/problem/451/A
问题简述:火柴游戏,给定n,m,交点由n*m编号,由Akshat先开始,两个人轮流选择一个点,取走经过这个点的火柴,没有交点选的人为输者
问题分析:选择交点取走两根线的话,与这两根线的所有交点都没有了。所以实际求min(n,m)%2,可模拟过程
AC通过的C++语言程序如下:

#include <iostream>
using namespace std;
int main()
{
	int n, m, t;
	cin >> n >> m;
	if (n >= m) 
	{
		t = m % 2;
	}
	else
	{
		t = n % 2;
	}
	if (t == 0)cout << "Malvika";
	else cout << "Akshat";
	return 0;
}

猜你喜欢

转载自blog.csdn.net/weixin_44012745/article/details/86618972