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1. Refer to page 12 of your text to respond to the

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1. Refer to page 12 of your text to respond to the following: Show the contents of the id array after each union operation when you use the quick find algorithm (Program I.I) to solve the connectivity problem for the sequence 0-2, 1-4, 2-5, 3-6, 0-4, 6-0, and 1-3. Also give the number of times the program accesses the id array for each input pair. 2. Refer to page 12 of your text to respond to the following: Show the contents of the id array after each union operation when you use the quick union algorithm (Program I.I) to solve the connectivity problem for the sequence 0-2, 1-4, 2-5, 3-6, 0-4, 6-0, and 1-3. Also give the number of times the program accesses the id array for each input pair. 3. Refer to figures 1.7 and 1.8 on pages 16 and 17 of the text. Give the contents of the id array after each union operation for the weighted quick union algorithm running on the examples corresponding to figures 1.7 and 1.8 4. For what value is N is 10N lg N>2N2? 5. Prove that O(1) is the same as O(2) 6. You are given the information that the time complexity of one problem is N log N and that the time complexity of another problem is N3. What does this statement imply about the relative performance of specific algorithms that solve the problems?