CF2003C Turtle and Good Pairs

Description

Turtle gives you a string $ s $ , consisting of lowercase Latin letters. Turtle considers a pair of integers $ (i, j) $ ( $ 1 \le i < j \le n $ ) to be a pleasant pair if and only if there exists an integer $ k $ such that $ i \le k < j $ and both of the following two conditions hold: - $ s_k \ne s_{k + 1} $ ; - $ s_k \ne s_i $ or $ s_{k + 1} \ne s_j $ . Besides, Turtle considers a pair of integers $ (i, j) $ ( $ 1 \le i < j \le n $ ) to be a good pair if and only if $ s_i = s_j $ or $ (i, j) $ is a pleasant pair. Turtle wants to reorder the string $ s $ so that the number of good pairs is maximized. Please help him!

Input Format

Each test contains multiple test cases. The first line contains the number of test cases $ t $ ( $ 1 \le t \le 10^4 $ ). The description of the test cases follows. The first line of each test case contains a single integer $ n $ ( $ 2 \le n \le 2 \cdot 10^5 $ ) — the length of the string. The second line of each test case contains a string $ s $ of length $ n $ , consisting of lowercase Latin letters. It is guaranteed that the sum of $ n $ over all test cases does not exceed $ 2 \cdot 10^5 $ .

Output Format

For each test case, output the string $ s $ after reordering so that the number of good pairs is maximized. If there are multiple answers, print any of them.

Explanation/Hint

In the first test case, $ (1, 3) $ is a good pair in the reordered string. It can be seen that we can't reorder the string so that the number of good pairs is greater than $ 1 $ . bac and cab can also be the answer. In the second test case, $ (1, 2) $ , $ (1, 4) $ , $ (1, 5) $ , $ (2, 4) $ , $ (2, 5) $ , $ (3, 5) $ are good pairs in the reordered string. efddd can also be the answer.