Number Game#6190

Number Game

1 second
64 megabytes
Very easy

Vasya, a school whiz kid, feels bored during math classes, so he occasionally plays different games with Petya, a non-achiever who shares a desk with him.

Once, Vasya proposed to play the following game. Petya picks two successive prime numbers, multiplies them and tells the product to Vasya, who is to find out the numbers. First, Vasya had to explain that two primes are successive if there are no other primes between them.

Petya was surprised to see how quickly Vasya figured out the numbers. Then Vasya proposed that they switch roles. Please help Petya to find the chosen numbers.

Write a program to find two successive prime numbers and given their product.

Input

The input file contains a single integer, the arithmetical product of and (2 \leq x < y \leq 10^6, , are successive prime numbers).

Output

The output file should contain two space-delimited integers and , the least of them going first.

Examples

Example 1

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