Two natural numbers in the decimal number system, consisting of ones, are given. The first number has exactly N units, and the second has exactly M. It is required to find the GCD of these numbers.
Input
In a single line two integers N and M (\(1 <= N,\ M <= 2000\)).
Output
Print your answer without leading zeros.
Examples
| # |
Input |
Output |
| 1 |
1 1 |
1 |
| 2 |
1 2 |
1 |