In this problem, we are given an array arr[] of size m representing the lengths of line segments.The line segments are from 0 to arr[0] , arr[0] to arr[1] and so on. Our task is to find the segment which is at the middle of all segments.Let’s take an example to understand the problem, Inputarr[] = {5, 7, 13}Output3ExplanationSegments are : (0, 5) , (5, 12), (12, 25)Solution ApproachTo solve the problem, we will find the middle point of the line by (arrSum/2). If this middle point is a starting or ending point of a line segment then print -1. ... Read More

In this problem, we are given a 2D array mat[r][c] whose elements are sorted row-wise. Our task is to Find median in a row-wise sorted matrix.Description − we need to find the median of elements of the matrix.Let’s take an example to understand the problem, Inputmat = {    {2, 4, 7},    {5, 6, 8},    {4, 8, 9} }Output6ExplanationThe elements of the matrix stored in array are &minus{2, 4, 4, 5, 6, 7, 8, 8, 9} The median is 6.Solution ApproachA simple solution to the problem is by storing all elements of the array. Then finding the median ... Read More

In this problem, we are given an array arr[] of size n and an integer m. Our task is to Find mean of subarray means in a given array.Code Description − Here, we need to find the mean of array as the mean of means of subarray of size m.Let’s take an example to understand the problem, Inputarr[] = {2, 5, 3, 6, 1}, m = 3Output3.78ExplanationAll subarrays of size m are {2, 5, 3}, {5, 3, 6}, {3, 6, 1} Means of means of subarray of size m, $$(\left(\frac{2+5+3}{3}\right)+\left(\frac{5+3+6}{3}\right)+\left(\frac{3+6+1}{3}\right))/3=\left(\frac{10}{3}\right)+\left(\frac{14}{3}\right)+\left(\frac{10}{3}\right)/3=34/3/3=3.78$$Solution ApproachA simple solution to the problem is by finding all ... Read More

In this problem, we are given an array arr[] consisting of n elements and an integer k. Our task is to find the Maximum XOR value of a sub-array of size k.Let’s take an example to understand the problem, Inputarr[] = {3, 1, 6, 2 ,7, 9} k = 3Output12ExplanationAll subarray and the xor of all element of size k, {3, 1, 6} = 4 {1, 6, 2} = 5 {6, 2, 7} = 3 {2, 7, 9} = 12Solution ApproachA simple solution to the problem is by using two loops. One to iterate over the array and other to ... Read More

In this problem, we are given Q queries each of which is one of the following type, Type 1 − insertion (1, i) to add the element with value i, in your data structure.Type 2 − findXOR (2, i), to find the XOR of all elements of the data structure with the element i.The data structure should contain only 1 element initially which will be 0.Let’s take an example to understand the problem, InputQueries: (1, 9), (1, 3), (1, 7), (2, 8), (1, 5), (2, 12)Output15 15ExplanationSolving each query, (1, 9) => data structure => {9} (1, 3) => data ... Read More

In this problem, we are given an array arr[] consisting of n elements. We need to Find maximum value of Sum( i*arr[i]) with only rotations on a given array allowed. For find the maximum sum of (i*arr[i]), we can perform any number of rotations.Let’s take an example to understand the problem, Inputarr[] = {4, 1, 3, 7, 2}Output43ExplanationWe will rotate the array once to get the maximum value, After rotation array will be {2, 4, 1, 3, 7}Sum = 0*2 + 1*4 + 2*1 + 3*3 + 4*7 = 0 + 4 + 2 + 9 + 28 = 43Solution ... Read More

In this problem, we are given an array arr[] insisting of N integer values.Our task is to Find Maximum value of abs(i – j) * min(arr[i], arr[j]) in an array arr[].Problem description − we need to find the maximum product value of the minimum value of two elements and the absolute differences between their indexes. i.e. for two values i and j, we need to maximise, abs(i - j) * min(arr[i] , arr[j]).Inputarr[] = {5, 7, 3, 6, 4}Output16ExplanationThe maximum value is 16, between index 0 and 4 => abs(0 - 4)*min(arr[0], arr[4]) => 4*min(5, 4) => 4*4 = 16Solution ... Read More

In this problem, we are given an array arr[] and an integer k. Our task is to Find the maximum sum taking every Kth element in the array.Problem description: We need to find the maximum sum of the elements of the array such that they are k indexes apart. i.e. we need to maximize the sum, sum = arr[i] + arr[i+k] + arr[i + 2*k] + …. arr[i + p*k], such that (i + p*k) < nLet’s take an example to understand the problem, Inputarr[] = {5, 3, −1, 2, 4, −5, 6}, k = 4Output9ExplanationAll sums of every kth ... Read More

In the problem, we are given n arrays of different length. Our task is to Find the maximum sum array of length less than or equal to m.We need to find sub-arrays from the arrays to maximise the sum and make the length of all subarrays combined equal to m.Let’s take an example to understand the problem, Inputn = 3, m = 4 arrOfArr[][] = {    {5, 2, -1, 4, -3}    {3, -2, 1, 6}    {-2, 0, 5} }Output20ExplanationSubArrays are {5, 4}, {6}, {5}, length = 2 + 1 + 1 = 4 Sum = 5 + ... Read More

In this problem, we are given a 2-D matrix mat[][] of size n, n being an odd number. Our task is to Find Maximum side length of a square in a Matrix.Problem Description − We need to find the length of the square matrix whose perimeter values are the same and it shares the same center as the matrix.Let’s take an example to understand the problem, Inputmat[][] = {    {2, 4, 6, 6, 5},    {1, 7, 7, 7, 3},    {5, 7, 0, 7, 1},    {3, 7, 7, 7, 1},    {2, 0, 1, 3, 2} }Output3Solution ... Read More