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Problem
1. Given an n-element array X, Algorithm D calls Algorithm E on each element X[i]. Algorithm E runs in O(i) time when it is called on element X[i]. What is the worst-case running time of Algorithm D?
2. Describe a recursive algorithm to compute the integer part of the base-two logarithm of n using only addition and integer division.
A stack is used to evaluate the following postfix expression. Show the state of the stack after the minus sign is processed and its state after the multiplication sign is processed.
Given an n-element array X, Algorithm B chooses logn elements in X at random and executes an O(n)-time. What is the worst-case running time of Algorithm B?
conduct time complexity analysis of the algorithm (and also mention best case and worst case analysis if applicable).
Design a recursive O(n) algorithm that checks whether the given sorted array contains two equal elements. Remark. In this module we do not systematically learn how to assess runtime of recursive algorithms.
how many examples do we need to exhaustively enumerate every possible combination of inputs - what is the conditional probability that An item classified as Reject is actually good?
For a message, he computes the hash value H = (VChar 1 x VChar 2 x VChar 3 ...x VChar N) mod(26).
Design a recursive algorithm to implement this specification. That is, the body of FindLast should contain a recursive call FindLast(A,..,..).
The total length of the encoding with the above frequencies and the derived Huffman tree is:
Describe an efficient algorithm for computing A⊕B, which is the set of elements that are in A or B, but not in both.
Write a C/C++ program to implement a stack and a queue as applications of LL.
Write a function to carry out a three-way merge-that is, a procedure that merges three sorted files to form another sorted file.
Draw a hierarchy chart and then plan the logic for a program for the sales manager of The Couch Potato Furniture Company. The manager needs a program to determine the profit on any item sold. Input includes the wholesale price and retail price for..
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