Description

During the break the schoolchildren, boys and girls, formed a queue of n people in the canteen. Initially the children stood in the order they entered the canteen. However, after a while the boys started feeling awkward for standing in front of the girls in the queue and they started letting the girls move forward each second.

Let's describe the process more precisely. Let's say that the positions in the queue are sequentially numbered by integers from 1 to n, at that the person in the position number 1 is served first. Then, if at time x a boy stands on the i-th position and a girl stands on the(i + 1)-th position, then at time x + 1 the i-th position will have a girl and the (i + 1)-th position will have a boy. The time is given in seconds.

You've got the initial position of the children, at the initial moment of time. Determine the way the queue is going to look after t seconds.

Format

Input

The first line contains two integersnandt(1 ≤n,t≤ 50), which represent the number of children in the queue and the time after which the queue will transform into the arrangement you need to find.

The next line contains strings, which represents the schoolchildren's initial arrangement. If thei-th position in the queue contains a boy, then thei-th character of stringsequals "B", otherwise thei-th character equals "G".

Output

Print stringa, which describes the arrangement aftertseconds. If thei-th position has a boy after the needed time, then thei-th characteramust equal "B", otherwise it must equal "G".

Samples

5 1
BGGBG

GBGGB

Hint