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.
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.
C++ Programming: From Problem Analysis to Program Design
8th Edition
ISBN:9781337102087
Author:D. S. Malik
Publisher:D. S. Malik
Chapter15: Recursion
Section: Chapter Questions
Problem 7SA
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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
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