A) Consider the procedure SUM-ARRAY on the facing page. It computes the sum of the n numbers in array A[1:n]. State a loop invariant for this procedure, and use its initialization, maintenance, and termination properties to show that the SUMARRAY procedure returns the sum of the numbers in A[1:n].  SUM-ARRAY(A, n) 1 sum = 0 2 for i = 1 to n 3      sum = sum + A[i] 4 return sum B) Rewrite the INSERTION-SORT procedure to sort into monotonically decreasing instead of monotonically increasing order.

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
Chapter1: Introduction
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A) Consider the procedure SUM-ARRAY on the facing page. It computes the sum of the n numbers in array A[1:n]. State a loop invariant for this procedure, and use its initialization, maintenance, and termination properties to show that the SUMARRAY procedure returns the sum of the numbers in A[1:n]. 

SUM-ARRAY(A, n)
1 sum = 0
2 for i = 1 to n
3      sum = sum + A[i]
4 return sum

B) Rewrite the INSERTION-SORT procedure to sort into monotonically decreasing instead of monotonically increasing order.

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