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Invention of chess According to a well-known legend, the game of chess was invented many centuries ago in northwestern India by a sage named Shashi. When he took his invention to his king, the king liked the game so much that he offered the inventor any reward he wanted. Sashi asked for some grain to be obtained as follows: just a single grain of wheat was to be placed on the first square of the chess board, two on the second, four on the third, eight on the fourth, and so on, until all 64 squares had been filled. What would the ultimate result of this algorithm have been?
Give a linear-time algorithm to find an odd-length cycle in a directed graph. You may not suppose that graph is strongly connected.
Assume two binary trees, T 1 and T 2 , hold entries satisfying heap-order property. Explain method for combining T 1 and T 2 into a tree T whose internal nodes hold union of entries
Communication A significant distinction between online and face-to-face classes lies in the area of communication.
Write an algorithm in pseudo code to settle following question: A bank account starts out with $10,000. Interest is compounded monthly at 6% per year(0.5% per month).
What are the different applications of Data Structure
Write a C program which initially presents menu of choices for the user. Menu must consist of the following choices: Prepare the initial linked list of students and grades.
"Consensus algorithm": A group of ten people need to decide which one flavor of ice cream they will all order, out of three options.
Provide the adjacency-list representation for complete binary tree on 7 vertices. Provide the equivalent adjacency - matrix representation. Suppose that vertices are numbered from 1 to 7 as in binary heap?
WSDL service that receives a request for a stock market quote and returns the quote
Look up each test item in array of member items, by using sequential search. What is the worst-case running time of it. (asymptotically, in terms of n and k)?
Running time of quicksort can be enhanced in practice by taking advantage of fast running time of insertion sort when its input is "nearly" sorted.
Sort the scheduling algorithms (FCFS, SPF, RR, MLFB) according to each of High throughput (if we take averages of time intervals smaller than the sum of all processes' time)
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