Data Structures and Algorithms in Java
Data Structures and Algorithms in Java
6th Edition
ISBN: 9781118771334
Author: Michael T. Goodrich
Publisher: WILEY
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Chapter 3, Problem 20C

Give examples of values for a and b in the pseudorandom generator given on page 113 of this chapter such that the result is not very random looking, for n = 1000.

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A particular random number generator is able to give a bunch of random integers from 0 to 65535. How many numbers do you need from this generator to guarantee that there existst two subsets of integers that sum to the same number?
What is Benford’s Law? Benford’s Law involves looking at the first digit of a series of numbers. For example, suppose that you were to use a random number generator to generate integers in the range of 100 to 999 and you looked at how often the number begins with 1, how often it begins with 2, and so on. Any decent random number generator would spread the answers out evenly among the 9 regions, so we’d expect to see each digit about one-ninth of the time (11.1%). But with a lot of real-world data, we see a very different distribution. The expected distribution under Benford’s Law is shown below:1: 30.1%, 2: 17.6%, 3: 12.5%, 4: 9.7%, 5: 7.9%, 6: 6.7%, 7: 5.8%, 8: 5.1%, 9: 4.6% You should use this distribution in your program. You are being provided with a text file giving population data for 247 countries and territories. Your program should read in the data in this file and extract the information needed to keep count of how often each first digit is found. It may be useful to know…
Prove that: The sum of an even integer and an odd integer is odd, where both numbers are > 0. Write out all steps of your proof.

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