Score : $400$ points

Problem Statement

You are given positive integers $A$ and $B$.

You will repeat the following operation until $A=B$:

• compare $A$ and $B$ to perform one of the following two:- if $A > B$, replace $A$ with $A-B$;
  • if $A < B$, replace $B$ with $B-A$.
• if $A > B$, replace $A$ with $A-B$;
• if $A < B$, replace $B$ with $B-A$.

How many times will you repeat it until $A=B$? It is guaranteed that a finite repetition makes $A=B$.

Constraints

• $1 \le A,B \le 10^{18}$
• All values in the input are integers.

Input

The input is given from Standard Input in the following format:

$A$ $B$

Output

Print the answer.

3 8

4

Initially, $A=3$ and $B=8$. You repeat the operation as follows:

• $A, so replace$B$with$B-A=5$, making$A=3$and$B=5$.
• $A, so replace$B$with$B-A=2$, making$A=3$and$B=2$.
• $A>B$, so replace $A$ with $A-B=1$, making $A=1$ and $B=2$.
• $A, so replace$B$with$B-A=1$, making$A=1$and$B=1$.

Thus, you repeat it four times.

1234567890 1234567890

0

Note that the input may not fit into a 32-bit integer type.

1597 987

15