Decomposition#5260

Decomposition

0.3 seconds
64 megabytes
Medium

Petya has a collection of cards, each displaying a natural number: , , , and so on. Each card features exactly one number. Petya's goal is to select some of these cards so that the product of their numbers equals a specific natural number . Your task is to assist him in achieving this.

Input

The input consists of a single line containing two natural numbers and , both of which are no greater than 10^9.

Output

Output distinct natural numbers in a single line such that their product equals . If multiple solutions exist, any valid set of numbers can be provided. If it is impossible to express in this manner, output the single number .

Examples

Example 1

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