Game With 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.

$\text{[math]}$

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


Solution

#include <bits/stdc++.h>

#define lli long long int

#define endl "\n"

using namespace std;

int main()

{

int p,q;

cin>>p>>q;

if(min(p,q)%2 == 1)

cout<<"Akshat";

else

cout<<"Malvika";

return 0;

}

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