a) Show the results of inserting the keys
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c) Compute the values that the call
-
(10117,11591) returns.
a) With the help of an example, explain the following:
i) Algorithm.
ii) Input and output for an algorithm.
iii) Running time of an algorithm.
b) Using Fig. 7.1 in page 147 of the book as the model, illustrate the operation of Partition on the array
a) The maximum subsequence sum problem is defined as follows: If are in Z, find the maximum value
for all
We assume that the answer is 0 if all the
are negative or if the sum is empty. The following algorithm finds a solution to the problem. Here, we assume that
s are stored in the array A.
Maximum-Subsequence
1
2
3
4
5
6
7
8
State precisely a loop invariant for the for loop in line 2–8. Prove that your loop invariant holds and hence conclude that the algorithm works.
b) Analyse the algorithm and find an upper bound for the run time of the above algorithm.
Show how mergesort sorts the array
Show the
Use Kruskal’s algorithm to find a minimal spanning tree in the graph given in Fig. 2.