Suppose we have two arrays of positive integers of size m and n. The m > n. We have to maximize the dot product by inserting zeros in the second array. One thing we have to keep in mind that we will not change the ordering of the elements in the given arrays. Suppose the arrays are A = [2, 3, 1, 7, 8], and another array B = [3, 6, 7]. The output will be 107. We can maximize the dot product after inserting 0s at first and third position of the second array. So the product will be ... Read More

Suppose we have set of lines in the form y = mx + c. There are sections made by this line and the vertical section. We have to find the intersection point present in the given section or not. Suppose the lines are like −L1 = y = x + 2L2 = y = -x + 7L3 = y = -3L4 = y = 2x - 7And the vertical section is given from x = 2 to x = 4.Here intersection points of L1 and L2 are present inside this section, so the answer will be true.To solve this problem, ... Read More

Ib this problem, we are given a set of words and an array of character and we have to check if the words are possible using the characters of the array.Let’s take an example to understand the problem better −Input : words[] : {‘go’ , ‘hi’ , ‘run’ , ‘on’ , ‘hog’ , ‘gone’}    Char[] : {‘a’ , ‘o’ , ‘h’ , ‘g’} Output : go , hog.Explanation − Out of the words, the words that contain the given characters are - go, hog and rest don’t include characters in the char array.To solve this problem, we will use ... Read More

Suppose we have a binary matrix. We have to find if there is any rectangle or sequence in the given matrix whose all four corners are equal to 1. The matrix is like10010001010001010101The result will be yes. Here one rectangle is present, whose corners are with 1s.101010101To solve this we will use one efficient approach. We will follow these steps −Scan the matrix from top to bottom line by lineFor each line remember each combination of two 1’s and push that into a hash-set.If we ever find that combination again in the later line, we will get our rectangle.Example Live ... Read More

In this problem, we are given a string and we have to break it into substrings and print them enclosing brackets.Let’s take a few examples to understand the problem better, Input : wxyz Output :    (w) (x) (y) (z)    (w) (x) (yz)    (w) (xy) (z)    (w) (xyz)    (wx) (y) (z)    (wx) (yz)    (wxy) (z)    (wxyz)Explanation − We will break the string into all possible substrings. And enclose each substring with brackets.Now, since we have understood the problem, let’s create a solution to the problem.Here, we will use recursion to solve the problem. ... Read More

In this problem, we are given an array of string in camelcase and a pattern. We have to print all those string of the array that match the given pattern.The array of string is an array in which elements are of the string data type.camelCase is a common method for naming in programming, in this way the first letter of the new word starts with an uppercase, rest all are lower case.Example − iLoveProgrammingProblem − find all strings that match a given pattern.Example −Input : “TutorialsPoint” , “ProgrammersPoint” , “ProgrammingLover” , “Tutorials”. Pattern : ‘P’ Output : “TutorialsPoint” , “ProgrammersPoint” ... Read More

A linked list is a linear data structure that stores the element in non-contiguous memory locations. Every element contains a pointer to the next element of the linked list.Example −In this problem, we are given a linked list and we need to print the elements of this linked list but only alternate elements are to be printed. Let’s take an example to understand the problem better, Input : 2 -> 4 -> 1 -> 67 -> 48 -> 90 Output : 2 -> 1 -> 48Explanation − We will print alternate elements on the linked list. So first, third and ... Read More

Suppose we have an integer N. The task is to find all factors of N and display the product of four factors of N, such that −Sum of their four factors are equal to NThe product of four factors is maximumSuppose the number is 24, then the product is 1296. As we know all of the factors are 1, 2, 3, 4, 6, 8, 12, 24. We have to choose the factors 6 four times. So 6 + 6 + 6 + 6 = 24. Here the product is maximum.To solve this, we have to find all factors from 1 ... Read More

In this problem, we have to create a 2D matrix of size n X m. And in this matrix, we have to place only vowels in such a way that each row and column has all vowels in it.All vowels mean all a, e, i, o, u are present in each row and each column of the matrix. This makes the minimum number of rows and columns required is 5 i.e. the smallest matrix is of the size 5X5.Let’s take an example to understand the topic betterExample 1 −Input : N = 5 and M = 5. Output :    a ... Read More

Suppose we a binary matrix. Here we will see how to find the duplicate rows in that matrix. Suppose the matrix is like −110101001001101100110101001001001001There are duplicate rows at position 3, 4, 5.To solve this, we will use the Trie. The Trie is an efficient data structure used for strong and retrieval of data where character set is small. The search complexity is optimal as the key length. So at first we will insert the binary trie. If the newly added row is already present, then that is duplicate.Example Live Demo#include using namespace std; const int MAX = 100; class Trie { ... Read More