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Consider the 3×3 matrix {{2,1,-3},{6,3,4},{-2,3,0}}. What is the sum of the elements of the maximum sum rectangle?

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Consider the 3×3 matrix {{2,1,-3},{6,3,4},{-2,3,0}}. What is the sum of the elements of the maximum sum rectangle?

(a) 13

(b) 16

(c) 14

(d) 19

This question was addressed to me in an online quiz.

This is a very interesting question from Maximum Sum Rectangle in a 2D Matrix topic in section Dynamic Programming of Data Structures & Algorithms II

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The correct choice is (c) 14

Easy explanation - The complete matrix represents the maximum sum rectangle and it’s sum is 14.

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