Virtual contest is a way to take part in past contest, as close as possible to participation on time. It is supported only ACM-ICPC mode for virtual contests.
If you've seen these problems, a virtual contest is not for you - solve these problems in the archive.
If you just want to solve some problem from a contest, a virtual contest is not for you - solve this problem in the archive.
Never use someone else's code, read the tutorials or communicate with other person during a virtual contest.

No tag edit access

A. Display Size

time limit per test

1 secondmemory limit per test

256 megabytesinput

standard inputoutput

standard outputA 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* ≤ 10^{6}) — 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.

Codeforces (c) Copyright 2010-2017 Mike Mirzayanov

The only programming contests Web 2.0 platform

Server time: Jun/29/2017 19:07:04 (c4).

Desktop version, switch to mobile version.

User lists

Name |
---|