Create Binary String

You want to make a binary string $S$ of length $N$. You will be paid according to the following rules: - For each occurrence of the subsequence $0$ in $S$, you are paid $A$ coins. - For each occurrence of the subsequence $1$ in $S$, you are paid $B$ coins. - For each occurrence of the subsequence $01$ in $S$, you are paid $C$ coins. - For each occurrence of the subsequence $10$ in $S$, you are pa