Oh I Dont Care

You are given a matrix $C$ that has $N$ rows and $M$ columns where each entry is $1$ or $0$ or $\texttt{x}$. Here $\texttt{x}$ denotes a `don't care` value. You can perform the following operation on the matrix: - Pick any column $j$ such that $1 \le j \le M$. - Assign $C_{i, j} \to C_{i, j} \oplus 1$ for all $1 \le i \le N$ You are given that: - $0 \oplus 1 = 1$ - $1 \oplus 1 = 0$ - $\texttt{x