1. As M gets larger, the number of compares increases again from the minimum just derived. How large must M get before the number of compares exceeds the original number (at M = 0)? 2. How many keys in a file of 104 random integers less than 106 are likely to be equal to some other key in the file? Run simulations, or do a mathematical analysis (with the help of a system for mathematical calculations), or do both.
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