Nguồn: http://codeforces.com
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.
Sample
Input
|
Input
|
Output
|
|
Input
|
Output
|
|
Input
|
Output
|
|
2 2
|
Malvika
|
|
2 3
|
Malvika
|
|
3 3
|
Akshat
|
Hint
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.
Tóm tắt đề
Akshat và Malvika chơi trò rút que. N que đặt ngang và M que đặt dọc
tạo thành một lưới ô vuông gồm ác điểm. Mỗi đợt chơi, mỗi người sẽ chọn một điểm
và họ sẽ rút những que đi qua điểm đó. Trò chơi kết thúc khi không còn điểm nào
và người không chọn được điểm đó là người thua. Akshat đi đầu tiên.
