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Suppose that a client performs an intermixed sequence of Stack push and pop operations. The push...

Suppose that a client performs an intermixed sequence of Stack push and pop operations. The push operations put the integers 0 through 9 in order onto the Stack. That is, the following operations must appear in this order with any number of pop operations in between: push(0), push(1), …, push(8), push(9). Each pop operation pops the top item off the Stack and prints the return value. Determine if each of the following sequences can or cannot be a result of some sequence of the operations described above. If the sequence is possible, give a sequence of operations that will give that result. If the sequence is not possible, explain why not.

(a) 0 1 2 3 4 9 8 7 6 5

(b) 7 6 9 8 5 4 1 0 3 2

(c) 5 4 7 6 3 2 9 8 1 0

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