You are given two natural numbers A and B. Determine the positive natural number N such that the least common multiple of the numbers A + N and B + N is minimal.
Input
The only line of the input contains two natural numbers: A and B. None of them is exceeding 109.
Output
Output the positive natural number N such that LCM(A + N, B + N) is minimal. If there are several values of N which yield the minimum, output the smallest one.
Sample
| Input | Output |
|---|---|
| 4 10 | 2 |
