Suppose that an intermixed sequence of $($stack$)$ push and pop operations are performed. The pushes push the integers $0$ through $9$ in order; the pops print out the return value. Show when the pop functions come in a sequence of functions in

the following outputs. For those output sequences that are not possible, explain why.

a$.4352167098$

b$.2156439870$

c$.0243671895$