K maximum sums of overlapping contiguous sub-arrays

Problem Statement The problem “K maximum sums of overlapping contiguous sub-arrays” states that you are given an array of integers. Find the maximum sum of k-subarrays such that their sum is maximum. These k-subarrays might be overlapping. So, we need to find k-subarrays such that their sum is maximum among …

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Maximum weight transformation of a given string

Problem Statement The maximum weight transformation of a given string problem states that given a string consisting only of two characters ‘A’ and ‘B’. We have an operation where we can transform string to another string by toggling any character. Thus many transformations are possible. Out of all the possible …

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Maximum Subarray Sum Excluding Certain Elements

Problem Statement We are given an array, and we need to find maximum subarray sum excluding certain elements. That is, we need to find the max sum of subarray such that the subarray we are considering does not contain the elements which are told to be excluded. Example of maximum …

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A Space Optimized DP solution for 0-1 Knapsack Problem

Problem Statement We are given a knapsack which can hold some weight, we need to pick some of the items out of given items with some value. The items should be picked such that the value of the knapsack ( total value of picked up items ) should be maximized. …

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