Prove that insertion sort will always produce a sorted array

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1. Using induction, prove that Insertion Sort will always produce a sorted array

2. Write an Insertion Sort algorithm for integer key values. However, here's the catch: The input is a stack (not an array), and the only variables that your algorithm may use are a fixed number of integers and a fixed number of stacks. The algorithm should return a stack containing the records in sorted order (with the least value being at the top of the stack). Your algorithm should be Θ(n 2 ) in the worst case.

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