Unique Ascending Array Time Limit: 2 Seconds Memory Limit: 65536 KB Given an array of integers A[N], you are asked to decide the shortest array of integers B[M], such that the following two conditions hold.
For all integers 0 <= i < N, there exists an integer 0 <= j < M, such that A[i] == B[j] For all integers 0 =< i < j < M, we have B[i] < B[j] Notice that for each array A[] a unique array B[] exists.
Input
The input consists of several test cases. For each test case, an integer N (1 <= N <= 100) is given, followed by N integers A[0], A[1], ..., A[N - 1] in a line. A line containing only a zero indicates the end of input.
Output
For each test case in the input, output the array B in one line. There should be exactly one space between the numbers, and there should be no initial or trailing spaces.