LogiQuest

406. Squares of a Sorted Array

EasyTwo Pointers

The array is sorted (it may contain negatives). Print the squares of its elements in non-decreasing order.

Input format

Line 1: n Line 2: n sorted integers

Output format

The sorted squares.

Example 1

Input

5
-4 -1 0 3 10

Output

0 1 9 16 100

Example 2

Input

5
-7 -3 2 3 11

Output

4 9 9 49 121

Constraints

1 ≤ n ≤ 10⁵

Read input from standard input and print the answer to standard output. Your code is judged against 5 test cases, most of them hidden.

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