A sequence detector is designed to detect precisely $3$ digital inputs, with overlapping sequences detectable, For the sequence $(1,0,1)$ and input data $(1,1,0,1,0,0,1,1,0,1,0,1,1,0)$. what is the output of this detector?
1. $1,1,0,0,0,0,1,1,0,1,0,0$
2. $0,1,0,0,0,0,0,1,0,1,0,0$
3. $0,1,0,0,0,0,0,1,0,1,1,0$
4. $0,1,0,0,0,0,0,0,1,0,0,0$