(b) Suppose you are studying the computational complexity of agiven problem X. It is known that the boolean satisfiabilityproblem can be reduced to X in polynomial time. In addition, it isknown that problem X is in class PSPACE, as somebody have alreadydeveloped an algorithm for X that is guaranteed to provide asolution using a polynomial amount of space with the size of theinput. Can it be the case that X is an NP-COMPLETE problem? Justifyyour answer and, if your answer is “yes,” state what would you needto do to show that X is NP-COMPLETE.
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