Article Categories
- All Categories
-
Data Structure
-
Networking
-
RDBMS
-
Operating System
-
Java
-
MS Excel
-
iOS
-
HTML
-
CSS
-
Android
-
Python
-
C Programming
-
C++
-
C#
-
MongoDB
-
MySQL
-
Javascript
-
PHP
-
Economics & Finance
Articles on Trending Technologies
Technical articles with clear explanations and examples
Minimum flips required to maximize a number with k set bits in C++.
Problem statementGiven two numbers n and k, we need to find the minimum number of flips required to maximize given number by flipping its bits such that the resulting number has exactly k set bits. Please note input must satify condition that k < number of bits in n.ExampleLet us suppose n = 9 and k = 2Binary representation of 9 is − 1001. It contains 4 bits.Largest 4 digit binary number with 2 set bits is − 1100 i.e. 12To convert 1001 to 1100 we have to flip highlighed 2 bitsAlgorithm1. Count the number of bits in n. Let ...
Read MoreMinimum flips in two binary arrays so that their XOR is equal to another array in C++.
Problem statementGiven three arrays with 0’s and 1’s of size n, the task is to find minimum flip of bits in the first and second array such that the XOR of i’th index bit of first and second array is equal to i’th index bit of the third array.Please note that we can only flip at most p bits of array 1 and at most q bits of array 2. Also rearranging array elements is not allowed.Let us suppose p = 2 and q = 5arr1[] = {1, 0, 1, 1, 0, 1, 0} arr2[] = {0, 1, 0, 1, ...
Read MoreProgram to check if a matrix is symmetric in C++
In linear algebra a matrix M[][] is said to be a symmetric matrix if and only if transpose of the matrix is equal to the matrix itself. A transpose of a matrix is when we flip the matrix over its diagonal, which resultant switches its row and columns indices of the matrix. Below the example of Symmetric matrix − $$\begin{bmatrix} 1 & 4 & 7 \ 4 & 5 & 6 \ 7 & 6 & 9 \ \end {bmatrix} \Rightarrow \begin{bmatrix} 1 & 4 & 7 \ 4 & 5 & 6 \ 7 & 6 & ...
Read MoreMinimum element in a max heap in C++.
Problem statementFind the element with the least value in max heap.Let us consider below max heap.In max heap value of the root node is always greater than its childer. Because of this property, we can conclude that value will be present in one of the leaf nodes. If heap contains n nodes then there will be ceil(n/2) leaves.Max heap is a complete binary tree hence it can be represented in an array. In such heap the first leaf will be present after floor(n/2) index. So in our example, the first leave will be present at index 5.AlgorithmWe can use the ...
Read MoreMinimum delete operations to make all elements of array same in C++.
Problem statementGiven an array of n elements such that elements may repeat. We can delete any number of elements from array. The task is to find a minimum number of elements to be deleted from array to make it equal.arr[] = {10, 8, 10, 7, 10, -1, -4, 12}We have to delete highlighted 5 elements to make all array elements the same.Algorithm1. Count frequency of each element 2. Find maximum frequecy among the frequencies. Let us call this as maxFrequncy 3. Elements to be deleted: n – maxFrequecy where n is size of an arrayExample#include #include #include ...
Read MoreMinimum and Maximum Prime Numbers of a Singly Linked List in C++.
Problem statementGiven a linked list of n positive integers. We have to find the prime number with minimum and maximum value.If the given list is −10 -> 4 -> 1 -> 12 -> 13 -> 7 -> 6 -> 2 -> 27 -> 33 then minimum prime number is 2 and maximum prime number is 13Algorithm1. Find maximum number from given number. Let us call it maxNumber 2. Generate prime numbers from 1 to maxNumber and store them in a dynamic array 3. Iterate linked list and use dynamic array to find prime number with minimum and maximum valueExample#include ...
Read MoreProgram to check if a matrix is Binary matrix or not in C++
A binary matrix is a matrix whose all elements are binary values i.e., 0 or 1. Binary matrix can be also called Boolean matrix, Relational Matrix, Logical matrix. Given below the example $$\begin{bmatrix} 0 & 1 & 0\ 1 & 1 & 0\ 1 & 0 & 1\ \end {bmatrix}\:\:\:\:\:\:\:\:\:\begin{bmatrix}0 & 3 & 0\ 1 & 1 & 0\ 1 & 0 & 2\ \end{bmatrix}\\tiny This\:is\:a\:Binary\:Matrix\:\:\:\:\:\:\:This\:is\:not\:a\:binary\:matrix$$ In Above figure first matrix on the left is a Binary matrix, the other matrix there are some values which are not Binary(0 or 1) are highlighted in red i.e., 3 ...
Read MoreProgram for Markov matrix in C++
Given a matrix M[r][c] with 'r' number of rows and 'c' number of columns, we have to check that the given matrix is Markov matrix or not. If the input matrix is Markov matrix then print the output "It is a Markov matrix" and "it's not an Markov matrix" if it is not a Markov matrix. Markov Matrix Now, what is Markov Matrix? A matrix M is a Markov matrix if and only if its sum of each row is equal to only 1. Like in the given example below − $$\begin{bmatrix}0.2 & 0.3 & 0.5 ...
Read MoreProgram to check if matrix is upper triangular in C++
Given a square matrix M[r][c] where 'r' is some number of rows and 'c' are columns such that r = c, we have to check that 'M' is upper triangular matrix or not. Upper Triangular Matrix Upper triangular matrix is a matrix in which the elements above the main diagonal(including the main diagonal) are not zero and below elements are zero only. Like in the given Example below − In above figure the red highlighted elements are lower elements from the main diagonal which are zero and rest elements are non-zero. Example ...
Read MoreProgram to check if matrix is lower triangular in C++
Given a square matrix M[r][c] where 'r' is some number of rows and 'c' are columns such that r = c, we have to check that 'M' is lower triangular matrix or not. Lower Triangular Matrix − Lower triangular matrix is a matrix in which the elements below the main diagonal(including the main diagonal) are not zero and above elements are zero only. Like in the given Example below − In above figure the red highlighted elements are upper elements from the main diagonal which are zero and rest elements are non-zero. Example ...
Read More