Codeforces Round #623 (Div. 2, based on VK Cup 2019-2020 - Elimination Round, Engine) C. Restoring
C. Restoring Permutation
time limit per test1 second
memory limit per test256 megabytes
inputstandard input
outputstandard output
You are given a sequence b1,b2,…,bn. Find the lexicographically minimal permutation a1,a2,…,a2n such that bi=min(a2i?1,a2i), or determine that it is impossible.
Input
Each test contains one or more test cases. The first line contains the number of test cases t (1≤t≤100).
The first line of each test case consists of one integer n — the number of elements in the sequence b (1≤n≤100).
The second line of each test case consists of n different integers b1,…,bn — elements of the sequence b (1≤bi≤2n).
It is guaranteed that the sum of n by all test cases doesn’t exceed 100.
Output
For each test case, if there is no appropriate permutation, print one number ?1.
Otherwise, print 2n integers a1,…,a2n — required lexicographically minimal permutation of numbers from 1 to 2n.
Example
inputCopy
5
1
1
2
4 1
3
4 1 3
4
2 3 4 5
5
1 5 7 2 8
outputCopy
1 2
-1
4 5 1 2 3 6
-1
1 3 5 6 7 9 2 4 8 10
暴力暴力,
總結
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