Compare the running time of both algorithms for sorted, Basic Computer Science

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Compare the running time of both algorithms for sorted

1. Propose an algorithm to insert M nodes into a binary heap on N elements in O(M + log N log log N) time. Prove your time bound.

2. Write a program to take N elements and do the following:

a. Insert them into a heap one by one.

b. Build a heap in linear time.

Compare the running time of both algorithms for sorted, reverse-ordered, and random inputs.

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Basic Computer Science: Compare the running time of both algorithms for sorted

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