A Plus Equals B

$A+B$ is a problem used to test basic knowledge in competitive programming. Here is yet another boring variation of it.

You have two integers, $A$ and $B$. You want to make them equal. To do so, you can perform several steps, where each step is one of the following:

• $A$ += $A$
• $A$ += $B$
• $B$ += $A$
• $B$ += $B$

Unfortunately, $A+B$ is a hard problem for us, so you are allowed to make at most 5000 steps.

The first line contains two space-separated integers $A$ and $B$. These are the initial values of the variables $A$ and $B$.

In the first line, print a single integer $n$ ($0 \le n \le 5\,000$), the number of steps.

In the next $n$ lines, print one of the following strings to denote the operation: A+=A, A+=B, B+=A, B+=B.

Any sequence of steps that yields the desired result is judged correct.

$1 \le A,\ B \le 10^{18}$