Permutation By Sum

medium
Question Solve Solutions 
https://codeforces.com/problemset/problem/1512/E

Input Format

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Output Format

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Constraints

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Example

Input
5
5 2 3 5
5 3 4 1
3 1 2 4
2 2 2 2
2 1 1 3
Output
1 2 3 4 5 
-1
1 3 2 
1 2 
-1
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