A11418. Gluttony

You are given an array $a$ with $n$ distinct integers. Construct an array $b$ by permuting $a$ such that for every non-empty subset of indices $S={x_{1},x_{2},...,x_{k}}$ ( $1<=x_{i}<=n$ , $0<k<n$ ) the sums of elements on that positions in $a$ and $b$ are different, i. e.


The first line contains one integer $n$ ( $1<=n<=22$ ) — the size of the array.

The second line contains $n$ space-separated distinct integers $a_{1},a_{2},...,a_{n}$ ( $0<=a_{i}<=10^{9}$ ) — the elements of the array.

If there is no such array $b$ , print -1.

Otherwise in the only line print $n$ space-separated integers $b_{1},b_{2},...,b_{n}$ . Note that $b$ must be a permutation of $a$ .

If there are multiple answers, print any of them.

An array $x$ is a permutation of $y$ , if we can shuffle elements of $y$ such that it will coincide with $x$ .

Note that the empty subset and the subset containing all indices are not counted.