Problem A. Amnesia

Author:Антон Карабанов   Time limit:1 sec
Input file:Standard input   Memory limit:512 Mb
Output file:Standard output  


Today, in a mathematics lesson, Timofey studied the topic of "Proportions". He was too lazy to write down his homework in his notebook, relying on his memory, and here is the result — Timofey remembers three of the four members of the proportion, but does not remember where they stood! He is also sure that the answer to the problem (an unknown element of proportion) is as a natural number. Help Timofey find all the correct answers for this assignment.

Input format

The first line of the input contains three integers separated by space: a, b and c — known members of the proportion.

Output format

Output natural numbers in ascending order  — all possible different solutions of the proportion. If there are no solutions — output the number -1.


1 ≤ a, b, c ≤ 109

Note on samples

In the first example, it is possible to make this proportion: 24 = 36.

In the second sample, there are no suitable solutions (with an integer answer).

In the third sample, it is possible to make these proportions: 24 = 816, 24 = 48, 12 = 48.

Sample tests

No. Standard input Standard output
2 3 4
2 3 5
2 4 8
1 4 16

0.151s 0.022s 13