Question: The language is java. Answer the following 2 parts (a and b) Make sure to complete the codes and that the output is correct and

The language is java.

Answer the following 2 parts (a and b)

Make sure to complete the codes and that the output is correct and what is asked is done. Make sure to complete both parts

a. Use Proof by Induction to prove: Merge sort worst case time complexity is O (n log n)

b. Use proof by induction to prove 1 + 2 + 3 + 4 + ... + (n - 1) + n = n (n + 1) / 2

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