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Let A[1, n] be an array of real numbers. Design an algorithm to perform any sequence of the following two operations:
Add(i, x): add the value x to A[i].PartialSum(k): return the sum of the ?rst k numbers,
k∑ A[i]i=1
Notice that the number of elements remains ?xed (there are no insertions or deletions); the only changes are to the values. Each operation should take O(log n) time. You can use an extra work space of size n.
Your goal is to solve the following simple programming exercise. You have been asked by your accounting department to design an algorithm determining the annual profit for your company.
You should build enough new roads such that if City A was reachable from City B via some old roads, City A must be reachable from City B via some new roads.
Explain the process of insertion into a heap-implemented priority queue, and informally explain its complexity and the process of removal from a heap-implemented priority queue, and informally explain its complexity.
If Encrypt-It-Rite would like to increase average cracking time to at least 100 years, determine the minimal length of the key?
For instance, the constraints x1 = x2, x2 = x3, x3 = x4, and x1 6= x4 cannot be satis fied. Give an efficient algorithm that takes as input m constraints over n variables and decides whether the constraints can be satis fied.
Assume a flash storage device is used instead of disk, and it has seek time of 1 microsecond and transfer rate of 40 MB per second. Recompute the cost of sorting the relation in seconds.
Explain the following sorting techniques using appropriate algorithms- (i) selection sort (ii) bubble sort
These numbers should be stored in an array. Use the sequential search algortithm to locate the number entered by the user. If the number is in the array, the program should display a message.
Operation code field, a mode field, to specify one of seven addressing modes, a register address field to specify one of 60 processor registers, and memory address. Specify instruction format and number of bits in each field if the instruction ..
Creating a Binary Search Tree program - Finding the largest and smallest values in the tree Add two class methods
Certain points along the road, so that every house is within four miles of one of the base stations. Give an efficient algorithm that achieves this goal using as few base stations as possible.
Describe the distinction between an ambiguity in a proposed algorithm and an ambiguity in the representation of an algorithm. Describe how the use of primitives helps remove ambiguities in an algorithm's representation.
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