9162: Fair Equation

It's not fair to solve unsolvable problems in the contest, so we would like you to solve a easier one. It's decidable in polynomial time, so it's fair.

Xiao Shi is given an equation of the form A+B=CA + B = CA+B=C, where $A$, $B$ and $C$ are positive integers. However, the equation may not be true at the moment. Xiao Shi can insert a single digit ($0$-$9$) anywhere in the equation, before or after any existing digit, to make it true.

For example, if the equation is $12+34=146$, Xiao Shi can insert $1$ to $12$ (either 1‾12\overline{1}12112 or 11‾21\overline{1}2112) to make it $112+34=146$.

Xiao Fan's task is to determine if there exists a way to insert a digit in the equation to make it true, or it is already true. Can you help him?

The first and only line of input contains an equation of the form A+B=CA + B = CA+B=C, where $A$, $B$ and $C$ are positive integers with no leading zeros. The input satisfies 1≤A,B,C≤1061 \leq A, B, C \leq 10^61≤A,B,C≤106.
It's guaranteed that there are exactly one space before and after $\text{+}$ and $\text{=}$.

If there exists a way to insert a digit in the equation to make it true, or it is already true, output $\text{Yes}$ and the modified equation on two separate lines. Please note that the equation should be presented like input format, i.e., no leading zeros and exactly one space before and after $\text{+}$ and $\text{=}$.
Otherwise, output $\text{No}$ on a single line.

12 + 34 = 146

Yes
112 + 34 = 146