In this problem, we are given a 2-D array that contains rational numbers (one in each row). Our task is to create a program to calculate the maximum rational number (or fraction) from an array in C++.Problem Description − The 2-D array is of the form [n][2]. Each row has two integer values that denote the value of a and b in the equation of rational number, a/b. We need to find the greatest number out of all these rational numbers.Let’s take an example to understand the problem, Inputrat[][] = {    {3, 2},    {5, 7},    {1, 9}, ... Read More

In this problem, we are given an array stkprice[] that denotes the price of a certain stock on i-th day. Our task is to create a program to calculate Maximum profit after buying and selling the stocks in C++.Problem Description − Here, we need to check when can be bought and sell the stock to gain profit. To gain profit, we need to buy the stock at a low price and sell it when the price goes up. And repeat the same when the drop is encountered again.Let’s take an example to understand the problem, Inputstkprice[] = {120, 310, 405, ... Read More

In this tutorial, we will be discussing a program to find maximum product subset of an array.For this we will be provided with an array containing positive and negative values. Our task is to find the maximum product for a subset of the array.Example Live Demo#include using namespace std; int maxProductSubset(int a[], int n) {    if (n == 1)       return a[0];       int max_neg = INT_MIN;       int count_neg = 0, count_zero = 0;       int prod = 1;    for (int i = 0; i < n; i++) { ... Read More

In this problem, we are given an array of integers(positive as well as negative). Our task is to create a program to calculate the Maximum Product Subarray in C++.Problem Solution − Here, we have an array that contains positive, negative, and zero numbers. We need to find the product of subarrays created by elements of the array. And maximize the product of the subarray.Let’s take an example to understand the problem, Inputarr[] = {-1, 2, -7, -5, 12, 6}Output5040ExplanationThe subarray with the maximum product is {2, -7, -5, 12, 6}Product = 5040Solution ApproachTo solve this problem, we are given an ... Read More

In this problem, we are given an array arr[] of integers. Our task is to create a program to find the Maximum Product Subarray - Using Two Traversals in C++.Problem description − Here in the array, we will find the maximum product subarray using two traversals one from index 0 and another index (n-1).Let’s take an example to understand the problem, Inputarr[] = {4, -2, 5, -6, 0, 8}Output240ExampleSubarray = {4, -2, 5, -6} Maximum product = 4 * (-2) * 5 * (-6) = 240Solution ApproachTo solve this problem using two traversals. Here, we will find the maximum product ... Read More

In this problem, we are given an array arr[]. Our task is to create a program to find the Maximum product quadruple (sub-sequence of size 4) in array in C++.Code description − Here, we need to find a quadruple (sub-sequence of size 4) such that the product of all elements is maximum.Let’s take an example to understand the problem, Inputarr[] = {4, -2, 5, -6, 8}Output840ExplanationThe quadruple, (-3, 5, -7, 8) with product 840.Solution ApproachThere can be multiple solutions to a given problem.One simple solution is using the direct method by traversing the array. Then finding all possible quadruples in ... Read More

In this problem, we are given an undirected connected tree T with n nodes. Our task is to create a program to find the Maximum product of two nonintersecting paths in a tree in C++.Problem Description − To find the maximum product of two nonintersecting paths in a tree. We will find all the non-interesting paths and then find the product of their lengths.Let’s take an example to understand the problem, InputGraph −Output8ExplanationThe non-intersecting paths that are considered are C-A-B and F-E-D-G-H.The lengths are 2 and 4. Product = 8.Solution ApproachThe solution to this problem is by traversing the tree ... Read More

In this problem, we are given an array arr[] of integers and a number k. Our task is to create a program to find the Maximum product of subsequence of size k in C++.Problem Description − Here, we need to find the subsequence of size k, 1

Suppose we have a 2D matrix M representing the gray scale of an image, we have to design a smoother to make the gray scale of each pixel becomes the average gray scale (rounding down) of all the 8 surrounding pixels and itself. If a cell has less than 8 surrounding cells, convert all possible pixels.So, if the input is like111101111then the output will be000000000To solve this, we will follow these steps −R := row count of MC := column count ofDefine an array d = { -1, 0, 1 }Define one 2D array res of size (R x C)for ... Read More

Suppose there is a robot and its starting position is (0, 0). If we have a sequence of its movements, we have to check whether this robot ends up at (0, 0) after it completes its moves.The move sequence is given as a string, and the character moves[i] represents its ith move. Symbols are R for right, L for left, U for up, and D for down. If the robot returns to the origin after it finishes all of its moves, return true. Otherwise, return false.So, if the input is like "RRULLD", then the output will be true, Right two-unit, ... Read More