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In the amortized analysis, the time needed to perform a set of operations is the average of all operations performed. Amortized analysis considers as a long sequence of operations rather than just one and then gives a worst-case estimate. There are three different methods by which the amortized cost can be calculated and can be differentiated from the actual cost. The three methods are following:
Aggregate analysis: It determines the average cost of each operation. i.e., T(n)/n.
The amortized cost is similar for all operations. Accounting method: The amortized cost is distinct for all operations & charges a credit as prepaid credit on some of the operations.
Potential method: It also has distinct amortized cost for each of operation and charges a credit as the potential energy to other operations.
There are special operations like stack operations (push, pop, multipop) and an increment that can be considered as instance to verify the above three methods.
Every operation over a splay tree and all splay tree operations take O(log n) amortized time.
SPARSE MATRICES Matrices along with good number of zero entries are called sparse matrices. Refer the following matrices of Figure (a)
Determine the number of character comparisons made by the brute-force algorithm in searching for the pattern GANDHI in the text
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what is far and near procedures in system programming?
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What are circular queues? Circular queue: Static queues have a very large drawback that once the queue is FULL, even though we erase few elements from the "front" and relieve
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implement multiple stacks ina single dimensional array. write algorithams for various stack operation for them.
Linked lists are among the most common and easiest data structures. They may be used to implement various other common abstract data types, including queues, stacks, symbolic expre
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