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Programming Articles
Page 1447 of 2547
Maximize the median of the given array after adding K elements to the same array in C++
Problem statementGiven an array arr[] of N elements and an integer K where K < N. The task is to insert K integer elements to the same array such that the median of the resultant array is maximizedIf input array is {1, 3, 2, 5} and k = 3 then −Sorted array becomes {1, 2, 3, 5}Insert 3 elements that are greater than 5. After this operation array becomes {1, 2, 3, 5, 6, 6, 6}Median of the new array is 5Algorithm1. In order to maximize the median of the resultant array, all the elements that need to be inserted ...
Read MoreMaximum modulo of all the pairs of array where arr[i] >= arr[j] in C++
In this problem, we are given an array, are of n elements. Our task is to create a program to find the maximum modulo of all pairs of array where arr[i] >= arr[j].Here, we have to find the maximum value of arr[i] % arr[j] where arr[i] >= arr[j].Let’s take an example to understand the problem, Input − arr[] = {3, 5, 9}Output − 4Explanation −All possible Pairs arr[i] and arr[j], 5, 3 => 5%3 = 2 9, 3 => 9%3 = 0 9, 5 => 9%5 = 4To solve this problem, a simple and direct approach will be run two ...
Read MoreFind the center of the circle using endpoints of diameter in C++
Suppose we have two endpoints of diameter of a circle. These are (x1, y1) and (x2, y2), we have to find the center of the circle. So if two points are (-9, 3) and (5, -7), then the center is at location (-2, -2).We know that the mid points of two points are −$$(x_{m},y_{m})=\left(\frac{(x_{1}+x_{2})}{2},\frac{(y_{1}+y_{2})}{2}\right)$$Example#include using namespace std; class point{ public: float x, y; point(float x, float y){ this->x = x; this->y = y; } void display(){ cout
Read MorePrint all permutations in sorted (lexicographic) order in C++
In this problem, we are given a string of length n and we have to print all permutations of the characters of the string in sorted order.Let’s take an example to understand the problem :Input: ‘XYZ’Output: XYZ, XZY, YXZ, YZX, ZXY, ZYX.Here we have to print all permutations in lexicographical order (alphabetically increasing order).To solve this problem, we have to first sort the array in alphabetically increasing order, the sorted array is the first element of the permutation. And then generate the next higher order permutation of the string.The below code will make the solution more clear to you :Example#include ...
Read MoreFind the closest and smaller tidy number in C++
Suppose we have a number n, we have to find the closest and smaller tidy number of n. So a number is called tidy number, if all of its digits are sorted in non-decreasing order. So if the number is 45000, then the nearest and smaller tidy number will be 44999.To solve this problem, we will traverse the number from end, when the tidy property is violated, then we reduce digit by 1, and make all subsequent digit as 9.Example#include using namespace std; string tidyNum(string number) { for (int i = number.length()-2; i >= 0; i--) { ...
Read MoreMaximize the number of segments of length p, q and r in C++
Problem statementGiven a rod of length L, the task is to cut the rod in such a way that the total number of segments of length p, q and r is maximized. The segments can only be of length p, q, and rIf l = 15, p = 2, q = 3 and r = 5 then we can make 7 segments as follows −{2, 2, 2, 2, 2, 2, 3}AlgorithmWe can solve this problem using dynamic programming1. Initialize dp[] array to 0 2. Iterate till the length of the rod. For every i, a cut of p, q and ...
Read MoreMaximum number of 3-person teams formed from two groups in C++
In this problem, we are given two integers N and M, N is the number of people in group 1, and M is the number of people in group 2. Our task is to create a program to find the maximum number of 3-person teams formed from two groups.We will be creating teams of 3 people by selecting a person from these groups such that the maximum teams can be made. Each team must have at least one person from each group.Let’s take an example to understand the problem, Input − N = 5, M = 3Output − 2Explanation −The ...
Read MoreDuplicate Zeros in Python
Suppose we have a fixed length array of integers, we have to duplicate each occurrence of zero, shifting the remaining elements to the right side.Note that elements beyond the length of the original array are not written.So suppose the array is like [1, 0, 2, 3, 0, 4, 5, 0], then after modification it will be [1, 0, 0, 2, 3, 0, 0, 4]To solve this, we will follow these steps −copy arr into another array arr2, set i and j as 0while i < size of arr −if arr2[i] is zero, thenarr[i] := 0increase i by 1if i < ...
Read MoreMaximize the sum of arr[i]*i in C++
Problem statementGiven an array of N integers. You are allowed to rearrange the elements of the array. The task is to find the maximum value of Σarr[i]*i, where i = 0, 1, 2, .. n – 1.If input array = {4, 1, 6, 2} then the maximum sum will be 28 if we rearrange elements in sorted order−{1, 2, 4, 6} = (1 * 0) + (2 * 1) + (4 * 2) + (6 * 3) = 28Algorithm1. Sort array in ascending order 2. Iterate over array and multiply each array element by 1 where i = 0, 1, ...
Read MoreMaximum number of edges in Bipartite graph in C++
Problem statementGiven an integer N which represents the number of Vertices. The Task is to find the maximum number of edges possible in a Bipartite graph of N vertices.Bipartite GraphA Bipartite graph is one which is having 2 sets of vertices.The set are such that the vertices in the same set will never share an edge between them.ExampleIf N = 10 then there will be total 25 edges −Both sets will contain 5 vertices and every vertex of first set will have an edge to every other vertex of the second setHence total edges will be 5 * 5 = ...
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