Sorted Squares

You are given a list of integers. Your task is to compute the square of each integer and then sort these squares in non-decreasing order. In other words, for a given list \(nums\), you need to output a list \(squares\) such that \(squares[i] = nums[i]^2\) and \(squares\) is sorted in increasing order.

The input is provided via standard input and the output must be printed to standard output.

Example:

Input:
5
-4 -2 0 1 3
Output:
0 1 4 9 16

</p>

inputFormat

The first line contains an integer \(n\), the number of elements in the list. The second line contains \(n\) space-separated integers representing the elements of the list \(nums\).

outputFormat

Output a single line containing \(n\) integers which are the squares of the input integers sorted in non-decreasing order. The numbers should be separated by a single space.

## sample

5
-4 -2 0 1 3

0 1 4 9 16