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Complexity: How do the resource needs of a program or algorithm scale (the growth of resource requirements as a function of input). In other words, what happens with the performance of an algorithm, as the size of the difficulty being solved gets larger & larger? For instance, the time & memory requirement of an algorithm that computes the sum of 1000 numbers is larger than the algorithm that computes the sum of 2 numbers.
Time Complexity: The maximum time needed through a Turing machine to execute on any input of length n.
Space Complexity: The amount of storage space needed by an algorithm varies along the size of the problem being solved out. Normally the space complexity is expressed as an order of magnitude of the size of the problem, for example (n2) means that if the size of the problem (n) doubles then the working storage (memory) needs will become four times.
What is binary search? Binary search is most useful when list is sorted. In binary search, element present in middle of the list is determined. If key (the number to search)
a) Given a digraph G = (V,E), prove that if we add a constant k to the length of every arc coming out from the root node r, the shortest path tree remains the same. Do this by usin
A linear collection of data elements where the linear node is given by means of pointer is known as Linked list
Q. Explain the complexity of an algorithm? What are the worst case analysis and best case analysis explain with an example.
List various problem solving techniques. There are two techniques:- 1. Top down 2. Bottom- up
When writing a code for a program that basically answers Relative Velocity questions how do you go at it? How many conditions should you go through?
[(a+b)/(c+d)^(e+f)]+(g+h)/i
Explain Floyd's algorithm It is convenient to record the lengths of shortest paths in an n by n matrix D known as the distance matrix: the element d ij in the i th row an
Example of Back Face Detection Method To illustrate the method, we shall start with the tetrahedron (pyramid) PQRS of Figure with vertices P (1, 1, 2), Q (3, 2, 3), R (1,
compare and contrast the bubble sort,quick sort,merge sort and radix sort
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