Use the prefix tree below to encode the word "piece".

Prefix tree with a letter at each of the leaves, left edges marked with $0$s$,$ and right edges marked with $1$s$.$ The root vertex has a left edge to e and a right edge to vertex $2.2$ has a left edge to vertex $3$ and a right edge to vertex $4.3$ has a left edge to i and a right edge to r$.4$ has a left edge to t and a right edge to vertex $5.5$ has a left edge to p and a right edge to c$.$

Group of answer choices

$1110100011110$

$11101000011110$

$1110100001110$

$11110100011110$