Problem1885--Display Size

1885: Display Size

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Time Limit : 2.000 sec  Memory Limit : 256 MiB

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Description

time limit per test
1 second
memory limit per test
256 megabytes
input
standard input
output
standard output

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

Your task is to determine the size of the rectangular display − the number of lines (rows) of pixels a and the number of columns of pixels b, so that:

  • there are exactly n pixels on the display;
  • the number of rows does not exceed the number of columns, it means a≤b;
  • the difference b-a is as small as possible.
Input

The first line contains the positive integer n (1≤n≤106)− the number of pixels display should have.

Output

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

Examples
Input
8
Output
2 4
Input
64
Output
8 8
Input
5
Output
1 5
Input
999999
Output
999 1001
Note

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.

Source/Category

 
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