This should be in C++

This is a homework you must complete individually. You should submit a pdf for the first two problems and a program named as hw4.cpp. Your program should be tested before submitting; make sure it actually compiles and works! Problem 1 Assume that we have an initially empty stack, S, of integers. Fill in the follow- ing table (we have completed the first two rows), showing the output returned by each method call and the internal state of the stack after that point in time. Return Value S (bottom, .., top) (7) (7,5) Operation S.push(7) S.push(5) S.pop() S.push(9) S.top() S.empty() S.push(1) S.size() S.pop() S.pop()