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problemconsider a version of deterministic quick-sort where we pick as our pivot the median of the d last elements in
problemconsider sets whose elements are integers in the range 0n - 1 a popular scheme for representing a set a of this
problem1 suppose that we represent sets with balanced search trees describe and analyze algorithms for each of the
problemlinda claims to have an algorithm that takes an input sequence s and produces an output sequence t that is a
problem1 describe an in-place version of the quick-select algorithm in pseudo-code2 show that the worst-case running
problem1 give an example input list that requires merge-sort and heapsort to take onlogn time to sort but
problemdescribe a radix-sort method for lexicographically sorting a sequence s of triplets klm where k l and m are
problem1 show that the probability that any given input element x belongs to more than 2logn subproblems in size group
problem1 show that the best-case running time of quick-sort on a sequence of size n with distinct elements is onlogn2
problemsuppose we modify the deterministic version of the quick-sort algorithm so that instead of selecting the last
problem1 show that x - a x - b x - a cap b for any three sets x a and b2 consider again the modification of the
problem1 give a complete pseudo-code description of the recursive merge-sort algorithm that takes an array as its input
problem1 suppose s is a list of n bits that is n 0s and 1s how long will it take to sort s with the merge-sort
problem1 write a function that takes a picture as input and make the top half of the picture black2 the function copy
problemwrite a function to create a lightened gray scale image by use make lighter first lighten the image by using the
problem1 write a function to mirror an image vertically2 write a function to create a lightened gray scale image first
problem1 write a general blue-ify function write a function that accepts a picture as input then doubles the blue value
problemif you keep increasing the red value and wrapping is on eventually some pixels become bright green and blue if
problemsuppose you buy 100 shares of a stock at 12 per share then another 100 at 10 per share and then sell 150 shares
probleman airport has only one runway when it is busy planes wishing to take off or land have to wait implement a
problem1 insert all words from a large file such as the novel war and peace which is available on the internet into a
problemwrite a program that keeps a map in which both keys and values are strings-the names of students and their
problemimplement the sieve of eratosthenes a method for computing prime numbers known to the ancient greeks this method
problemwrite a program that reads text from a file and breaks it up into individual words insert the words into a tree
problema homeowner rents out parking spaces in a driveway during special events the driveway is a last-in first-out