Classwork/Homework:
These assignments are to be developed using the basic elements of object oriented design.
Generating cryptograms. A cryptogram is obtained by scrambling English text by replacing each letter with another letter. Write a program, YI_Crypto1.java to generate a random permutation of the 26 letters and use this to map letters. Give example: Don’t scramble punctuation or whitespace.
Entropy. The Shannon entropy measures the information content of an input string and plays a cornerstone role in information theory and data compression.
Shannon is famous for having founded information theory.
It was proposed by Claude Shannon in 1948, borrowing upon the concept in statistical thermodynamics. Assuming each character i appears with probability p(_{i}), the entropy is defined to be H = – sum p(_{i}) log(_{2})p(_{i}), where the contribution is 0 if p(_{i}) = 0. Compute entropy of DNA sequence.
(a) Write a program, YI_Entropy1.java to read in a ASCII text string from standard input, count the number of times each ASCII character occurs, and compute the entropy, assuming each character appears with the given probabilities.
(b) Repeat part (a) but use Unicode.
