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Find if a number is divisible by every number in a list in C++

sudhir sharma
sudhir sharma
Updated on 11-Mar-2026 350 Views

In this problem, we are given a list of n numbers and a number. Our task is to find if a number is divisible by every number in a list. We need to check if the given number divides all elements of the list or not.Let’s take an example to understand the problem, Input: list[] = [4, 10 ,6, 5, 9] num = 5Output: NoExplanation:Elements 4, 6, 9 are not divisible by 5.Solution Approach: To solve the problem, we need to check if any element of the list is divisible by num. If every number of lists is divisible by num, return true else ...

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Count ways to divide circle using N non-intersecting chords in C++

Sunidhi Bansal
Sunidhi Bansal
Updated on 11-Mar-2026 538 Views

Given an integer N as input for a number of chords in a circle with 2*N end points. The goal is to count the ways in which we can divide that circle using such chords so that no chord intersects with each other.For N=3, points will be 6, 1 way of getting 3 chords is between 1−2, 3−4, 5−6Other ways −1−6, 2−5, 3−4 1−2, 3−6, 4−5 1−4, 2−3, 5−6 1−6, 2−3, 4−5Total 5 ways.For ExampleInputN=4OutputCount of ways to divide circle using N non-intersecting chords are: 14ExplanationThere will be a total 8 points between which we can draw chords. After drawing ...

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Find if a string starts and ends with another given string in C++

sudhir sharma
sudhir sharma
Updated on 11-Mar-2026 612 Views

In this problem, we are given two strings str and corStr. Our task is to find if a string starts and ends with another given string. Let’s take an example to understand the problem, Input: str = “abcprogrammingabc” conStr = “abc”Output: TrueSolution Approach: To solve the problem, we need to check if the string starts and ends with the conStr. For this, we will find the length of string and corStr. Then we will check if len(String) > len(conStr), if not return false.Check if prefix and suffix of size corStr are equal and check they contain corStr or not.Program to illustrate the working of ...

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How to remove names from a named vector in R?

Nizamuddin Siddiqui
Nizamuddin Siddiqui
Updated on 11-Mar-2026 7K+ Views

To assign names to the values of vector, we can use names function and the removal of names can be done by using unname function. For example, if we have a vector x that has elements with names and we want to remove the names of those elements then we can use the command unname(x).Example1> x1 names(x1) x1OutputG K N V P F F A P D L N K J V H S L F C M F H T I V 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 ...

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Find if array has an element whose value is half of array sum in C++

sudhir sharma
sudhir sharma
Updated on 11-Mar-2026 256 Views

In this problem, we are given an array arr of sorted unique values. Our task is to find if array has an element whose value is half of array sum. Problem Description: For the array arr[], we need to find element x in the array such that the sum of all elements of array is equal to 2*X.Let’s take an example to understand the problem, Input: arr[] = {2, 4, 5, 6, 7}Output: NoExplanation: Sum = 2 + 4 + 5 + 6 + 7 = 24No element found.Solution Approach: To solve the problem, we simply need to find the elements which is half of the ...

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Count ways to express 'n' as sum of odd integers in C++

Sunidhi Bansal
Sunidhi Bansal
Updated on 11-Mar-2026 444 Views

Given an integer n as input. The goal is to find the number of ways in which we can represent ‘n’ as the sum of odd integers. For example, if n is 3 it can be represented as sum ( 1+1+1 ) and (3) so total 2 ways.For ExampleInputn=6OutputCount of ways to express ‘n’ as sum of odd integers are: 8ExplanationThe ways in which we can express ‘n’ as sum of odd integers − 1. 1+1+1+1+1+1 2. 3+1+1+1 3. 1+3+1+1 4. 1+1+3+1 5. 1+1+1+3 6. 3+3 7. 1+5 8. 5+1Inputn=9OutputCount of ways to express ‘n’ as sum of odd integers ...

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Find if given matrix is Toeplitz or not in C++

sudhir sharma
sudhir sharma
Updated on 11-Mar-2026 322 Views

In this problem, we are given a 2D square matrix mat[][] of size n*n. Our task is to find if the given matrix is Toeplitz or not.Toeplitz matrix also known as diagonal matrix is a matrix in which the elements at the diagonal start from top-left corner to bottom-right corner.Let’s take an example to understand the problem, Input:          Mat[][] = {{3, 5, 1},                            {4, 3 ,2},                            {1, 2, 3}}Output: YesExplanation:  Diagonal : ...

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Program to find minimum number of roads we have to make to reach any city from first one in C++

Arnab Chakraborty
Arnab Chakraborty
Updated on 11-Mar-2026 819 Views

Suppose we have two lists costs_from and costs_to of same size where each index i represents a city. It is making a one-way road from city i to j and their costs are costs_from[i] + costs_to[j]. We also have a list of edges where each edge contains [x, y] indicates there is already a one-way road from city x to y. If we want to go to any city from city 0, we have to find the minimum cost to build the necessary roads.So, if the input is like costs_from = [6, 2, 2, 12] costs_to = [2, 2, 3, ...

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How to create horizontal legend using ggplot2 in R?

Nizamuddin Siddiqui
Nizamuddin Siddiqui
Updated on 11-Mar-2026 7K+ Views

The default legend direction is vertical but it can be changed to horizontal as well and for this purpose we can use legend.direction argument of theme function of ggplot2 package. For example, if we want to create a bar chart with x as categories and y as frequencies tjat are contained in a data frame df then the bar chart with horizontal legends for categories in x can be created as −ggplot(df, aes(x, y, fill=x))+geom_bar(stat="identity")+theme(legend.direction="horizontal")ExampleConsider the below data frame −> x y df dfOutputx y 1 A 27 2 B 25 3 C 28Loading ggplot2 package and creating the bar ...

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Find if given number is sum of first n natural numbers in C++

sudhir sharma
sudhir sharma
Updated on 11-Mar-2026 448 Views

In this problem, we are given a number num. Our task is to find if the given number is the sum of first n natural numbers.  Problem Description: Here, we need to check whether the given number is the sum of first n natural numbers.Let’s take an example to understand the problem, Input: num = 55Output: yes, 10Explanation:55 is the sum of the first 10 natural numbers, 1+2+3+4+5+6+7+8+9+10.Solution Approach: A simple approach to solving the problem is finding the sum of n natural numbers until it becomes equal to or greater than num.If the sum is equal to num, return n.If at any value of ...

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