Score : $200$ points

Problem Statement

There were $N$ contestants in the qualification round of a programming contest. All contestants got distinct ranks. You are given a length-$N$ string $S$, which represents whether the contestants want to participate in the final round or not. Specifically,

• if the $i$-th character of $S$ is o, the contestant ranked $i$-th in the qualification wants to participate in the final;
• if the $i$-th character of $S$ is x, the contestant ranked $i$-th in the qualification does not want to participate in the final.

Among those who want to participate in the final, $K$ contestants with the smallest ranks advance to the final.

Print a string $T$ of length $N$ that satisfies the following conditions:

• if the contestant ranked $i$-th in the qualification advances to the final, the $i$-th character of $T$ is o;
• if the contestant ranked $i$-th in the qualification does not advance to the final, the $i$-th character of $T$ is x.

Constraints

• $N$ and $K$ are integers.
• $1 \le K \le N \le 100$
• $S$ is a string of length $N$ consisting of o and x.
• $S$ has at least $K$ o's.

Input

The input is given from Standard Input in the following format:

$N$ $K$

$S$

Output

Print the answer.

10 3
oxxoxooxox

oxxoxoxxxx

In this input, $N=10$ people took part in the qualification round, and $K=3$ of them advance to the final.

• The participant who ranked $1$-st in the qualification wants to participate in the final, so the participant advances to the final. $1$ participant has advanced so far.
• The participants who ranked $2$-nd and $3$-rd in the qualification do not want to participate in the final, so the participants do not advance to the final.
• The participant who ranked $4$-th in the qualification wants to participate in the final, so the participant advances to the final. $2$ participants have advanced so far.
• The participants who ranked $5$-th in the qualification does not want to participate in the final, so the participant does not advance to the final.
• The participant who ranked $6$-th in the qualification wants to participate in the final, so the participant advances to the final. $3$ participants have advanced so far.
• Now that $3$ people have advanced to the final, no participants ranked $7$-th or lower advance to the final.