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
博弈 一次选择一个交点删除交点的边,直到没得删就输
递推找规律
代码:
#include <cstdio>
#include <algorithm>
using namespace std;
//设f(a,b)为a横b竖时先手的胜负情况,1为胜,0为负
//由题意可知f(a,b)=~f(a-1,b-1) 且f(0,b)=f(a,0)=0
//简单打表可知判断min(n,m)奇偶即可
int main(void){
int n,m;
scanf("%d%d",&n,&m);
if(min(n,m)%2){
printf("Akshat\n");
}
else{
printf("Malvika\n");
}
return 0;
}