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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Largest area rectangular sub-matrix with equal number of 1’s and 0’s

Problem Statement Given a binary matrix of size n x m. The problem is to find the largest area rectangular sub-matrix with equal number of 1’s and 0’s. Example Dimensions = 4 x 4 Matrix: 1 1 1 1 0 1 0 1 1 0 1 0 1 0 0 …

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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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Printing brackets in Matrix Chain Multiplication Problem

Problem Statement We need to find the order of multiplication of matrices such that the number of operations involved in the multiplication of all the matrices is minimized. Then we need to print this order i.e. printing brackets in matrix chain multiplication problem. Consider you have 3 matrices A, B, …

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