Already have an account? Get multiple benefits of using own account!
Login in your account..!
Remember me
Don't have an account? Create your account in less than a minutes,
Forgot password? how can I recover my password now!
Enter right registered email to receive password!
The complexity Ladder:
In computer science, Exponential growth is the most-danger growth pattern. Algorithms which grow this way are fundamentally useless for anything except for very small input size.
Table 1 compares several algorithms in terms of their complexities.
Table 2 compares the typical running time of algorithms of distinct orders.
The growth patterns above have been tabulated in order of enhancing size. That is,
O(1) < O(log(n)) < O(n log(n)) < O(n2) < O(n3), ... , O(2n).
Notation
Name
Example
O(1)
Constant
Constant growth. Does
not grow as a function
of n. For example, accessing array for one element A[i]
O(log n)
Logarithmic
Binary search
O(n)
Linear
Looping over n
elements, of an array of size n (normally).
O(n log n)
Sometimes called
"linearithmic"
Merge sort
O(n2)
Quadratic
Worst time case for
insertion sort, matrix multiplication
O(nc)
Polynomial,
sometimes
O(cn)
Exponential
O(n!)
Factorial
Table 1: Comparison of several algorithms & their complexities
Array size
Logarithmic:
log2N
Linear: N
Quadratic: N2
Exponential:
2N
8
128
256
1000
100,000
3
7
10
17
64
16,384
65,536
1 million
10 billion
3.4*1038
1.15*1077
1.07*10301
........
Define container in terms of object-oriented terms A Container is a broad category whose instances are all more specific things; there is never anything which is just a Contai
A company is carrying out a survey by observing traffic at a road junction. Every time a car, bus or lorry passed by road junction it was noted down. 10 000 vehicles were counted d
Adjacency list representation An Adjacency list representation of Graph G = {V, E} contains an array of adjacency lists mentioned by adj of V list. For each of the vertex u?V,
How can we convert a graph into a tree ? Do we have any standardized algorithm for doing this?
A Red-Black Tree (RBT) is a type of Binary Search tree with one extra bit of storage per node, i.e. its color that can either be red or black. Now the nodes can have any of the col
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
Graphs are data structures which consist of a set of vertices & a set of edges which connect the vertices. A graph where the edges are directed is called directed graph. Or else, i
a. In worst case the order of linear search is O (n/2) b. Linear search is more competent than Binary search. c. For Binary search, the array must be sorted in ascending orde
What is an unreachable code assertion An unreachable code assertion can be placed at the default case; if it's every executed, then program is in an erroneous state. A loop in
1. Define the following terms in a rule-based expert system? a) Knowledge base b) Inference engine 2. What is a fuzzy rule? Explain the difference between classical and fuzzy
Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!
whatsapp: +91-977-207-8620
Phone: +91-977-207-8620
Email: [email protected]
All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd