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 $*n*$ ($1 ≤ *n* ≤ 10^{6}$) — the number of pixels display should have.

Output

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

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.