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Consider the problem of combining two heaps together into a single heap.
a. Write an efficient algorithm for combining two heaps, one with size n and the other with size 1. What is the Big Oh performance of your algorithm?
b. Write an efficient algorithm for combining two heaps of equal size n. What is the Big Oh performance of your algorithm?
c. Write an efficient algorithm for combining two arbitrary sized heaps into one heap. What is the Big Oh performance of your algorithm?
d. Implement the algorithm that you wrote in Part c.
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Show information gain computations that you used to induce a complete decision tree and draw the tree. Give the class labels for the following new examples base on your decision tree.
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Analyze the data from this experiment (use α = 0.05).
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