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Consider the following statements and select which of the following statement are true. Statement 1: The maximum sum rectangle can be 1X1 matrix containing the largest element If the matrix size is 1X1 Statement 2: The maximum sum rectangle can be 1X1 matrix containing the largest element If all the elements are zero Statement 3: The maximum sum rectangle can be 1X1 matrix containing the largest element If all the elements are negative
Correct Answer: D — Statement 1, Statement 2 and Statement 3 are correct
Explanation:
If the matrix size is 1×1 then the element itself is the maximum sum of that 1×1 matrix. If all elements are zero, then the sum of any submatrix of the given matrix is zero. If all elements are negative, then the maximum element in that matrix is the highest sum in that matrix which is again 1X1 submatrix of the given matrix. Hence all three statements are correct.