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Exact analysis of insertion sort:
Let us assume the following pseudocode to analyse the exact runtime complexity of insertion sort.
Tj is the time taken to execute the statement through jth iteration.
The statement at line 4 will execute Tj number of times.
The statements at lines 5 & 6 will execute Tj - 1 number of times (one step less) each
Line 7 will execute for (n-1) times
Thus, total time is the sum of time taken for every line multiplied through their cost factor.
Three cases can emerge based on the initial configuration of the input list. First case is where the list was sorted already; second case is the case in which the list is sorted in reverse order and third case is the case where in the list is in random order (unsorted). The best case scenario will emerge while the list is sorted already.
A binary tree in which if all its levels except possibly the last, have the maximum number of nodes and all the nodes at the last level appear as far left as possible, is called as
The worst case of quick sort has order O(n 2 )
N = number of rows of the graph D[i[j] = C[i][j] For k from 1 to n Do for i = 1 to n Do for j = 1 to n D[i[j]= minimum( d ij (k-1) ,d ik (k-1) +d kj (k-1)
2. Write a note on i) devising ii) validating and iii) testing of algorithms.
Technique for direct search is Hashing is the used for direct search.
what is folding method?
Write an algorithm for multiplication of two sparse matrices using Linked Lists.
Colouring The use of colours in CAD/CAM has two main objectives : facilitate creating geometry and display images. Colours can be used in geometric construction. In this case,
CMY Model The cyan, magenta, yellow (CMY) colour model is a subtractive model based on the colour absorption properties of paints and inks. As such it has become the standard
Compare zero-address, one-address, two-address, and three-address machines by writing programs to compute: Y = (A – B X C) / (D + E X F) for each of the four machines. The inst
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