Implementing a custom sorting algorithm

We can try to implement a very simple sorting algorithm ourselves:

  • On each iteration select the smallest element from the array

  • Add that to the result

  • Remove that element from the initial array

Repeat this process as many times as the number of elements in the initial array, and we’ll obtain a perfectly sorted array.

Input

The first line of the input contains a single integer n (1 ≤ n ≤ 1000) the number of elements in the array.

The next line contains n space-separated integers ().

Output

The program should print the array in the input sorted in increasing order.

Examples

Input

Output

5
5 5 3 2 3

2 3 3 5 5

Constraints

Time limit: 2 seconds

Memory limit: 512 MB

Output limit: 1 MB

To check your solution you need to sign in
Sign in to continue