input input.txt output output.txt There are n boys and m girls studying in the class. They should stand in a line so that boys and girls alternated there as much as possible. Let's assume that positions in the line are indexed from left to right by numbers from 1 to n + m . Then the number of integers i (1 ≤ i n + m ) such that positions with indexes i and i + 1 contain children of different genders (position i has a girl and position i + 1 has a boy or vice versa) must be as large as possible. Help the children and tell them how to form the line.

输入描述:

The single line of the input contains two integers n and m (1 ≤ n, m ≤ 100), separated by a space.

输出描述:

Print a line of n + m characters. Print on the i-th position of the line character "B", if the i-th position of your arrangement should have a boy and "G", if it should have a girl. Of course, the number of characters "B" should equal n and the number of characters "G" should equal m. If there are multiple optimal solutions, print any of them.

备注:

In the first sample another possible answer is BGBGBG. In the second sample answer BBGBGB is also optimal.