The Hamming distance between two strings of equal length is defined as the number of positions at which the corresponding symbols are different. It is named after Richard Hamming (1915–1998), a prominent American scientist and engineer, who introduced it in his seminal paper on error-detecting and error-correcting codes.
a. Does the Hamming distance satisfy the three axioms of a distance metric listed in Problem 4?
b. What is the time efficiency class of the brute-force algorithm for the closest pair problem if the points in question are strings of m symbols long and the distance between two of them is measured by the Hamming distance?
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