Hackable String

At the Royal Mint of Spain, to unlock a locker, Rio has to hack the system. The system consists of binary strings, containing $0$s and $1$s. A hackable string has the pattern $011$ in it. A partial pattern ($0$ and $01$) is allowed at the end of the string. For example, $011011$, $01$, $0110$, $01101101$ are hackable strings and $101$, $000$, $0111$, $011010$ are not hackable strings. Rio ca