G. City Blocks @ NEERC, Central subregion, Rybinsk, October 2001 @ Timus Online Judge

G. City Blocks

Time limit: 1.0 second
Memory limit: 64 MB

The blocks in the city of Fishburg are of square form. N avenues running south to north and M streets running east to west bound them. A helicopter took off in the most southwestern crossroads and flew along the straight line to the most northeastern crossroads. How many blocks did it fly above?

Note. A block is a square of minimum area (without its borders).

Input

The input contains N and M separated by one or more spaces. 1 < N, M < 32000.

Output

The number of blocks the helicopter flew above.

Samples

input	output
4 3	4
3 3	2

Notes

The figures for samples:

Problem Source: Quarterfinal, Central region of Russia, Rybinsk, October 17-18 2001