Question: Given an mxn matrix in which every element is a positive integer, you need to select a subset of the elements in the matrix so

Given an mxn matrix in which every element is a positive

Given an mxn matrix in which every element is a positive integer, you need to select a subset of the elements in the matrix so that these selected elements are not adjacent. We define that element (i,j) is adjacent to elements (i, j1) and (i 1,j) but is not adjacent to elements (i +1, j 1). Design an efficient algorithm that maximizes the sum of the selected elements

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