The following pseudocode is supposed to take an array of numbers as input and return their sum. Prove the correctness via loop invariant. In other words, state the loop invariant and prove it using Initialization (Base case), Maintenance (Inductive Step), and Termination (Conclusion). Input: A[1 n] ... 1. sum = 0 = 1 to A.length A[j] 2. for j 3. sum = sum +

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