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Page 1392 of 2109
Maximize the maximum subarray sum after removing at most one element in C++
Problem statementGiven an array arr[] of N integers. The task is to first find the maximum sub-array sum and then remove at most one element from the sub-array. Remove at most a single element such that the maximum sum after removal is maximized.If given input array is {1, 2, 3, -2, 3} then maximum sub-array sum is {2, 3, -2, 3}. Then we can remove -2. After removing the remaining array becomes−{1, 2, 3, 3} with sum 9 which is maximum.Algorithm1. Use Kadane’s algorithm to find the maximum subarray sum. 2. Once the sum has beens find, re-apply Kadane’s algorithm ...
Read MoreMaximize the median of an 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 must ...
Read MoreMaximize 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 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 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 MoreMaximize the value of the given expression in C++
Problem statementGiven three non-zero integers a, b and c. The task is to find the maximum value possible by putting addition and multiplication signs between them in any order.Please note that rearrangement of integers is allowed but addition and multiplication sign must be used once.If a = 1, b = 3 and c = 5 then maximum value will be 20 as follows−(1 + 3) * 5 = 20Algorithm1. If all numbers are positive, then add two small numbers and multiply result with larger one 2. If only two numbers are positive, then multiply 2 positive numbers and add remaining ...
Read MoreMaximize value of (arr[i] – i) – (arr[j] – j) in an array in C++
Problem statementGiven an array, arr[] find the maximum value of (arr[i] – i) – (arr[j] – j) where i is not equal to j. Where i and j vary from 0 to n-1 and n is the size of input array arr[].If the input array is {7, 5, 10, 2, 3} then we can obtain 9 maximum value as follows−(element 10 – index 2) - (element 2 – index 3) (10 – 2) – (2 – 3) = 8 – (-1) = 9Algorithm1. Find maximum value of (arr[i] – i) in whole array. 2. Find minimum value of (arr[i] – i) in whole array. 3. Return difference of above two valuesExample#include using namespace std; int getMaxDiff(int *arr, int n){ if (n < 2) { cout
Read MoreFind the closest leaf in a Binary Tree in C++
Suppose, one binary tree is given. It has leaf nodes at different levels. Another pointer is given, that is pointing to a node. We have to find the distance to the nearest leaf node from the pointed node. Consider the tree is like below −Here leaf nodes are 2, -2 and 6. If the pointer is pointing to node -5, The nearest nodes from -5 will be at distance 1.To solve this, we will traverse the subtree rooted with the given node, and find the closest leaf in the subtree, then store the distance. Now traversing tree starting from the ...
Read MoreFind the compatibility difference between two arrays in C++
Consider there are two friends and now they want to test their bonding. So they will check, how much compatible they are. Given the numbers n, numbered from 1..n. And they are asked to rank the numbers. They have to find the compatibility difference between them. The compatibility difference is basically the number of mismatches in the relative ranking of the same movie given by them. So if A = [3, 1, 2, 4, 5], and B = [3, 2, 4, 1, 5], then the output will be 2. The compatibility difference is 2, as first ranks movie 1 before ...
Read MoreMissing even and odd elements from the given arrays in C++
Problem statementGiven two integer arrays even [] and odd [] which contains consecutive even and odd elements respectively with one element missing from each of the arrays. The task is to find the missing elements.ExampleIf even[] = {10, 8, 6, 16, 12} and odd[] = {3, 9, 13, 7, 11} then missing number from even array is 14 and from odd array is 5.AlgorithmStore the minimum and the maximum even elements from the even[] array in variables minEven and maxEvenSum of first N even numbers is N * (N + 1). Calculate sum of even numbers from 2 to minEven ...
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