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In this problem, we are given a binary tree with each node containing a value. Our task is to create a program to find the maximum path sum between two leaves of a binary tree.Here, we have to find the path form one leaf node to another leaf node that will provide the maximum sum of values. This maximum sum path can/cannot include the root node.Binary Tree is a tree data structure in which each node can have a maximum of two child nodes. These are called a left child and right child.Example −Let’s take an example to understand the ... Read More
In this problem, we are given numbers that are in the form of a triangle. Our task is to create a program that will find the maximum path sum in a triangle.The elements are arranged starting from the 1st row with 1 one element and then next rows with an increasing number of elements till there are elements in the nth row.So, the program will find the path that will provide the maximum sum of elements in the triangle. So, we have to find the path that will provide the maximum sum.Let’s take an example to understand the problem −Input ... Read More
In this problem, we are given numbers in the form of an inverted triangle. Our task is to create a program that will find the maximum path sum in an inverted triangle.Inverted triangle form of number is an arrangement when the first row contains n elements, second n-1, and so on.Here, we have to find the maximum sum that can 3 be obtained by adding one element from each row.Let’s take an example to understand the problem −Input −5 1 9 3 6 2Output − 17Explanation − Here, I have found the path from the last row to the ... Read More
In this problem, we are given a 2D matrix of size M*N. Our task is to create a program that will find the maximum path sum in the matrix.Here, the maximum path sum in the matrix is defined as the sum of all elements for one row to the last row. The allowed moves for traversing the path are downward move and diagonal move. The start and endpoints can be any element of the first and last row of the matrix respectively.Let's take an example to understand the problemInput −matrix [][] = 3 5 9 1 7 2 ... Read More
In this problem, we are given two arrays A and B of n elements each. Our task is to create a program to find the maximum possible XOR of every element in an array with another array.We have to compute the maximum XOR for each element of array A with array B i.e. for each element of array A we will select an element in array B which will have the maximum XOR value.Let's take an example to understand the problem −Input −array A = {3, 6 ,11, 9} array B = {8, 2, 4, 1}Output −11 14 15 13Explanation−Let’s ... Read More
In this problem, we are given a number n. Our task is to find the maximum count of primes whose sum is equal to given N.Here, we will find the maximum number of prime numbers that when added will be equal to the number.The prime number are those number which can be divide by either themselves or one.let's take an example to understand the problem −Input − N = 9Output − 4Explanation −9 can be repressed as the sum of prime numbers in the following ways: 2, 2, 2, 3 3, 3, 3 2, 2, 5 2, 7 Out of ... Read More
In this problem, we are given an array of N elements. Our task is to find the maximum removal from the array when removal time >= waiting time.So, here we will be removing the elements of the array. The value of the element of the array denotes the removal time(time taken to remove the element from the array).The element has a waiting time which is the time it will have to wait till it will get removed.The element can be removed from the only if the removal time is greater than the time it has to wait.We have to find ... Read More
In this problem, we are given a string that denotes a large number and an integer k roar denotes the number of breakpoints. Our task is to create a program that will find the maximum segment value after putting L breakpoints in a number.Here, we have to find the maximum number that can be generated after putting k breakpoint in the number given by the string.Let's take an example to understand the problemInput − string = “45972”, k = 3Output − 97Explanation −All possible number is: 45 9 7 2 4 59 7 2 ... Read More
In this problem, we are given a binary tree. Our task is to create a program that will find the maximum spiral sum in a binary tree in C++.Spiral sum of a binary tree is the sum of nodes that are encountered in the spiral traversal of the binary tree.In the spiral traversal of a tree, the nodes are traversed from the root to the leaf node. The traversal takes place from left to right then for the next level from right to left and so on for the further levels.Example −Output −5Explanation −We will consider the spiral traversal until the ... Read More
In this problem, we are given an integer X. Our task is to find the total number of steps that are taken to transform from 0 to X.Valid transformation − One step is counted when one transformation takes place from A to B. The condition for the transform to take place is A != B and A & B = A (& is bitwise AND). So, 1 step is transforming from A to B and we have to create a program that will count the maximum number of steps to transform 0 to X.Let’s take an example to understand the ... Read More