CF1659A Red Versus Blue

Description

Team Red and Team Blue competed in a competitive FPS. Their match was streamed around the world. They played a series of $ n $ matches. In the end, it turned out Team Red won $ r $ times and Team Blue won $ b $ times. Team Blue was less skilled than Team Red, so $ b $ was strictly less than $ r $ . You missed the stream since you overslept, but you think that the match must have been neck and neck since so many people watched it. So you imagine a string of length $ n $ where the $ i $ -th character denotes who won the $ i $ -th match — it is R if Team Red won or B if Team Blue won. You imagine the string was such that the maximum number of times a team won in a row was as small as possible. For example, in the series of matches RBBRRRB, Team Red won $ 3 $ times in a row, which is the maximum. You must find a string satisfying the above conditions. If there are multiple answers, print any.

Input Format

The first line contains a single integer $ t $ ( $ 1 \le t \le 1000 $ ) — the number of test cases. Each test case has a single line containing three integers $ n $ , $ r $ , and $ b $ ( $ 3 \leq n \leq 100 $ ; $ 1 \leq b < r \leq n $ , $ r+b=n $ ).

Output Format

For each test case, output a single line containing a string satisfying the given conditions. If there are multiple answers, print any.

Explanation/Hint

The first test case of the first example gives the optimal answer for the example in the statement. The maximum number of times a team wins in a row in RBRBRBR is $ 1 $ . We cannot minimize it any further. The answer for the second test case of the second example is RRBRBRBRBR. The maximum number of times a team wins in a row is $ 2 $ , given by RR at the beginning. We cannot minimize the answer any further.