Question: A sorting algorithm is stable if the algorithm preserves the order of duplicate values. For example if there are two 3 s in the array

A sorting algorithm is stable if the algorithm preserves the order of duplicate values. For example if there are two 3s in the array (e.g.,3a and 3b), then their order is preserved in the output (e.g.,3a will be to the left of 3b in the output).(a) Prove that counting sort is a stable sorting algorithm.

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