Problem7554--[CSES Problem Set] Rectangle Cutting

7554: [CSES Problem Set] Rectangle Cutting

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Time Limit : 1.000 sec  Memory Limit : 256 MiB

Description

Given an $a \times b$ rectangle, your task is to cut it into squares. 
On each move you can select a rectangle and cut it into two rectangles in such a way that all side lengths remain integers. 
What is the minimum possible number of moves?

Input

The only input line has two integers $a$ and $b$.

Output

Print one integer: the minimum number of moves.

Constraints

1≤a,b≤500

Sample 1 Input

3 5

Sample 1 Output

3

HINT

相同题目:CSES 1744

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