9011번 - 순서 다국어

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1 초 128 MB123561153352.358%

문제

n개의 정수로 된 순서 S= (s1, s2, ..., sn)가 있다. 여기서 si ≠ sj이고, 1 ≤ si ≤ n이다. S로부터 새로운 순서 R = (r1, r2, ..., rn)을 얻을 수 있는데, 여기서 ri는 S의 부분 순서 {s1, s2, ..., si-2, si-1} 중에서 si보다 작은 수의 개수이다.

n = 10인 경우의 예를 보자. S = (6, 4, 3, 5, 1, 2, 7, 8, 9, 10)이라면 R = (0, 0, 0, 2, 0, 1, 6, 7, 8, 9)이 된다. 어떤 순서 R이 주어질 때, 여러분은 R을 이용하여 S를 찾는 프로그램을 작성하어야 한다. 경우에 따라서는 R로부터 S를 찾는 것이 불가능할 수 있다. 예를 들어, 만약 n = 5이고, R = (0, 2, 2, 0, 1)이라면 이런 R에 대응하는 S는 존재하지 않는다.

입력

입력 데이터는 표준입력을 사용한다. 입력은 T개의 테스트 데이터로 구성된다. 입력의 첫 번째 줄에는 입력 데이터의 수를 나타내는 정수 T가 주어진다. 각 테스트 데이터의 첫째 줄에는 S에 있는 정수의 개수 n (1 ≤ n ≤ 100)이 주어진다. 그 다음 줄에는 n개의 정수로 된 R이 주어진다. 

출력

출력은 표준출력을 사용한다. 주어진 각 순서 R 에 대해, 대응하는 순서 S 를 찾아 한 줄에 출력하여야 한다. 만약 R로부터 S를 찾는 것이 불가능할 경우에 “IMPOSSIBLE”을 출력한다.

예제 입력 1 

3
10
0 0 0 2 0 1 6 7 6 9
10
0 0 0 0 0 0 0 0 0 0
12
0 3 4 5 0 1 2 3 4 5 6 7

예제 출력 1 

6 4 3 5 1 2 8 9 7 10
10 9 8 7 6 5 4 3 2 1
IMPOSSIBLE
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