Sort by Digit CountEasy

Sort by Digit Count

EasyPractice library · +10 XPsortingcounting sortcustom order

Given a list of N integers, sort them primarily by the number of digits each integer has (ascending). If two integers have the same number of digits, sort them by their value (ascending). Print the sorted list.

Input

The first line contains a single integer N. The second line contains N space-separated integers.

Output

Print the N space-separated integers in the specified sorted order.

Constraints

1 <= N <= 1000. Each integer will be between -10^9 and 10^9.

Time limit 1 s (native code; slower languages get more)Memory 256 MB15 hidden tests

Example 1

Input
5
10 3 -12 100 0
Output
0 3 -12 10 100

Sorted by digit count (1, 2, 2, 3, 3), then value: 0, 3, -12, 10, 100

Example 2

Input
4
55 7 99 10
Output
7 10 55 99

Sorted by digit count (1, 1, 2, 2), then value: 7, 55, 10, 99

Hints