CF405A.Gravity Flip

普及/提高-

通过率:0%

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题目描述

Little Chris is bored during his physics lessons (too easy), so he has built a toy box to keep himself occupied. The box is special, since it has the ability to change gravity.

There are nn columns of toy cubes in the box arranged in a line. The ii -th column contains aia_{i} cubes. At first, the gravity in the box is pulling the cubes downwards. When Chris switches the gravity, it begins to pull all the cubes to the right side of the box. The figure shows the initial and final configurations of the cubes in the box: the cubes that have changed their position are highlighted with orange.

Given the initial configuration of the toy cubes in the box, find the amounts of cubes in each of the nn columns after the gravity switch!

输入格式

The first line of input contains an integer nn ( 1<=n<=1001<=n<=100 ), the number of the columns in the box. The next line contains nn space-separated integer numbers. The ii -th number aia_{i} ( 1<=ai<=1001<=a_{i}<=100 ) denotes the number of cubes in the ii -th column.

输出格式

Output nn integer numbers separated by spaces, where the ii -th number is the amount of cubes in the ii -th column after the gravity switch.

输入输出样例

  • 输入#1

    4
    3 2 1 2
    

    输出#1

    1 2 2 3 
    
  • 输入#2

    3
    2 3 8
    

    输出#2

    2 3 8 
    

说明/提示

The first example case is shown on the figure. The top cube of the first column falls to the top of the last column; the top cube of the second column falls to the top of the third column; the middle cube of the first column falls to the top of the second column.

In the second example case the gravity switch does not change the heights of the columns.

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