The series of squares of first n odd numbers takes squares of of first n odd numbers in series.The series is: 1, 9, 25, 49, 81, 121…The series can also be written as − 12, 32, 52, 72, 92, 112….The sum of this series has a mathematical formula −n(2n+1)(2n-1)/ 3= ... Read More

A Set is a collection of data elements. Subset of a set is a set formed by only the elements after parent set. for example, B is A subset of a if all elements of B exist in A.Here we need to find the sum of all subsets of a ... Read More

An arithmetic progression (AP) is a series of numbers in which the difference between two consecutive terms in the same. The difference is calculated by subtracting the second term from the first.Let's take a sample sequence to know about AP, 5, 7, 9, 11, 13, 15, . . . The ... Read More

A series is a sequence of numbers that have some common traits that each number follows. There are various series defined in mathematics with sum mathematical logic or mathematical formula. In this problem we are given a series of numbers 2/3 , -4/5 , 6/7 , -8/9 , …..The general ... Read More

A series is a sequence of numbers that have some common traits that each number follows. These mathematical series are defined based on some mathematical logic like every number increases by the same interval( arithmetic progression), every number is increased by the same multiple( geometric progression), and many other patterns.To ... Read More

A bidirectional search is a searching technique that runs two way. It works with two who searches that run simultaneously, first one from source too goal and the other one from goal to source in a backward direction. In in an optimal state, both the searches will meet in the ... Read More

The iterators that have the privilege to access the sequence of elements of a range from both the directions that are from the end and from the beginning are known as bidirectional iterators. iterators can work on data types like list map and sets.Bidirectional iterators have the same properties as ... Read More

Pigeonhole Sort is an example of the non-comparison sorting technique. It is used where the number of items and the range of possible key values is approximately the same.To perform this sort, we need to make some holes. The number of holes needed is decided by the range of numbers. ... Read More

Prime Factor− In number theory, the prime factors of a positive integer are the prime numbers that divide that integer exactly. The process of finding these numbers is called integer factorization, or prime factorization.Example− Prime factors of 288 are: 288 = 2 x 2 x 2 x 2 x 2 ... Read More

Vector is a template class and is C++ only construct whereas arrays are built-in language construct and present in both C and C++.Vector are implemented as dynamic arrays with list interface whereas arrays can be implemented as statically or dynamically with primitive data type interface.Differences between a Vector and an ... Read More