P15632 [2019 KAIST RUN Spring] A Plus Equals B

$A+B$ is a problem used to test one's basic knowledge for 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.

Two integers $A, B$ are given. ($1 \le A, B \le 10^{18}$).

In the first line, print a single integer $n$ ($0 \le n \le 5000$) denoting the number of steps. In next $n$ lines, print one of the following strings to denote your desired operation: $A$+=$A$, $A$+=$B$, $B$+=$A$, or $B$+=$B$. Any sequence of steps that yields the desired result will be judged correct.