World Champion

A different type of football tournament is being played between Argentina and other teams. We all want to see Argentina in the final of the tournament, don't we? Let's determine whether Argentina will play the final or not!

There will be a total of $N$ matches played in this tournament. Argentina will play the opening match. If Argentina wins the current match, they skip the next match. If not, they play the next match.

Given an array $a$ of size $N,$ where $a_i$ represents the points exactly needed to win the $i^{th}$ match.

In a match, Argentina will score $X$ points for each goal. Argentina can give as many goals as they want in a match. So if it is possible to win a match by scoring $a_i$ points, Argentina will always win that match.

The $N^{th}$ match is the final match. If Argentina plays in the final match, they will win somehow.

So, you have to determine if Argentina can play in the final match or not.

Input

The first line of the test case contains two integers $N$ and $X$ separated by space — indicating the number of matches and points for each goal, respectively.

The second line contains $N$ integers $a_1,a_2,.…,a_n$— indicating the elements of the array.

$1≤N, X≤10^5$

$1 \le a_i \le 10^9$

Output

Output "Yeee! Argentina" (without quotes) if Argentina won the tournament and "Messi missed the penalty!" (without quotes) otherwise.

Check out the samples for clarification.

Samples

Input	Output
5 3 1 2 3 4 5	Yeee! Argentina
First two match is lost by Argentina because if Argentina scores at least one goal their points will be 3 each but they have to get exactly 1 and 2 points respectively. Third match is won by Argentina by scoring one goal. Fourth match will be skipped as they won third match and they will reach to the final.

Input	Output
5 4 1 2 3 4 5	Messi missed the penalty!