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A. Ehab Fails to Be Thanos

time limit per test

1 secondmemory limit per test

256 megabytesinput

standard inputoutput

standard outputYou're given an array $$$a$$$ of length $$$2n$$$. Is it possible to reorder it in such way so that the sum of the first $$$n$$$ elements isn't equal to the sum of the last $$$n$$$ elements?

Input

The first line contains an integer $$$n$$$ ($$$1 \le n \le 1000$$$), where $$$2n$$$ is the number of elements in the array $$$a$$$.

The second line contains $$$2n$$$ space-separated integers $$$a_1$$$, $$$a_2$$$, $$$\ldots$$$, $$$a_{2n}$$$ ($$$1 \le a_i \le 10^6$$$) — the elements of the array $$$a$$$.

Output

If there's no solution, print "-1" (without quotes). Otherwise, print a single line containing $$$2n$$$ space-separated integers. They must form a reordering of $$$a$$$. You are allowed to not change the order.

Examples

Input

3 1 2 2 1 3 1

Output

2 1 3 1 1 2

Input

1 1 1

Output

-1

Note

In the first example, the first $$$n$$$ elements have sum $$$2+1+3=6$$$ while the last $$$n$$$ elements have sum $$$1+1+2=4$$$. The sums aren't equal.

In the second example, there's no solution.

Codeforces (c) Copyright 2010-2020 Mike Mirzayanov

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