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Generally, Computational complexity of algorithms are referred to through space complexity (space needed for running program) and time complexity (time needed for running the program). In computer of science, the concept of runtime complexity has been studied vigorously. Sufficient research is being carried out to determine more efficient algorithms for present problems. We studied several asymptotic notations, to define the time complexity and space complexity of algorithms, say the big-O, Omega & Theta notations. These asymptotic orders of time & space complexity define how best or worst an algorithm is for an adequately large input.
We studied regarding the process of calculation of runtime complexity of several algorithms. The exact analysis of insertion sort was discussed to define the best case, worst case & average case scenario.
Merge sort: Merge sort is a sorting algorithm that uses the idea of split and conquers. This algorithm splits the array into two halves, sorts them separately and then merges t
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Thus far, we have been considering sorting depend on single keys. However, in real life applications, we may desire to sort the data on several keys. The simplest instance is that
A graph G might be defined as a finite set V of vertices & a set E of edges (pair of connected vertices). The notation utilized is as follows: Graph G = (V, E) Consider the g
How can the third dimension be displayed on the screen The main problem in visualization is the display of three-dimensional objects and scenes on two-dimensional screens. How
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QUESTION (a) Construct a binary tree for the following numbers assuming that a number greater than the node (starting from the root) goes to the left else it goes to the right.
Write down the algorithm of quick sort. An algorithm for quick sort: void quicksort ( int a[ ], int lower, int upper ) { int i ; if ( upper > lower ) { i = split ( a,
What is a Spanning tree of a graph? A Spanning Tree is any tree having of vertices of graph tree and some edges of graph is known as a spanning tree.
Define tractable and intractable problems Problems that can be solved in polynomial time are known as tractable problems, problems that cannot be solved in polynomial time are
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