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Consider the following code fragment: 1 Do-Math (x, p) result = 1 factor = x pLeft - P while pLeft > 0 result = result

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Consider the following code fragment: 1 Do-Math (x, p) result = 1 factor = x pLeft - P while pLeft > 0 result = result * factor pLeft - pLeft-1 return result Provide clear, concise answers to each of the following related questions. (2 points). What does Do-Math(2,4) return? 2 (12 points). Prove the following loop invariant for Do-Math(): (pLeft> 0) and (result * factorplast = 2). Be sure to argue both the initializa- tion and maintenance conditions. . (3 points). Using the invariant, prove the correctness of Do-Math(). Rely on the invariant and the one other fact guaranteed to be true upon loop termination

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