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4. (20 points) Consider the find maximum problem: Input: A sequence of n numbers A- (an) Output: The number m in A that is the

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4. (20 points) Consider the find maximum problem: Input: A sequence of n numbers A- (an) Output: The number m in A that is the maximum value of all the values in A. Write pseudocode for an algorithm to solve this problem by scanning through the se- quence to find the maximum value. Devise a loop invariant and prove your algorithm is correct. Make sure that your loop invariant fulfills the three necessary properties initialization, maintenance and termination

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