CF747A.Display Size

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题目描述

A big company decided to launch a new series of rectangular displays, and decided that the display must have exactly nn pixels.

Your task is to determine the size of the rectangular display — the number of lines (rows) of pixels aa and the number of columns of pixels bb , so that:

  • there are exactly nn pixels on the display;
  • the number of rows does not exceed the number of columns, it means a<=ba<=b ;
  • the difference bab-a is as small as possible.

输入格式

The first line contains the positive integer nn ( 1<=n<=1061<=n<=10^{6} ) — the number of pixels display should have.

输出格式

Print two integers — the number of rows and columns on the display.

输入输出样例

  • 输入#1

    8
    

    输出#1

    2 4
    
  • 输入#2

    64
    

    输出#2

    8 8
    
  • 输入#3

    5
    

    输出#3

    1 5
    
  • 输入#4

    999999
    

    输出#4

    999 1001
    

说明/提示

In the first example the minimum possible difference equals 2, so on the display should be 2 rows of 4 pixels.

In the second example the minimum possible difference equals 0, so on the display should be 8 rows of 8 pixels.

In the third example the minimum possible difference equals 4, so on the display should be 1 row of 5 pixels.

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