Let A[1...n,1...n] be a 2D array of positive integers with n rows and n columns. Let  ArraySum(a,b,c,d) be the sum of all the elements of A[a...b, c...d] (i.e., the submatrix of A with rows a to b and columns c to d).  Write down a recursive formula for ArraySum(a,b,c,d) and analyze the time complexity of the corresponding recursive algorithm. You must write a formal recursive formula including the base case and general recursive step.

Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
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Let A[1...n,1...n] be a 2D array of positive integers with n rows and n columns. Let  ArraySum(a,b,c,d) be the sum of all the elements of A[a...b, c...d] (i.e., the submatrix of A with rows a to b and columns c to d) Write down a recursive formula for ArraySum(a,b,c,d) and analyze the time complexity of the corresponding recursive algorithm. You must write a formal recursive formula including the base case and general recursive step.

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