The following algorithm adds all the entries in the “upper triangular” part of a square n × n array A. Consider n = 5 and the 5 × 5 array below. The work unit is the addition operation, sum = sum + A[k, j]. How many times is the sum = sum + A[k, j] operation done? sum = 0 for k = 1 to n do for j = k to n do sum = sum + A[k, j] end for end for 1 3 1 0 2 3 1 0 3 3 0 0 1 2 0 0 2 3 1 2 2 2 3 0 1

Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
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Chapter1: Introduction
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The following algorithm adds all the entries in the “upper triangular” part of a square n × n array A.

Consider n = 5 and the 5 × 5 array below. The work unit is the addition operation, sum = sum + A[k, j]. How many times is the sum = sum + A[k, j] operation done?

sum = 0

for k = 1 to n do

for j = k to n do

sum = sum + A[k, j]

end for

end for

1 3 1 0 2
3 1 0 3 3
0 0 1 2 0
0 2 3 1 2
2 2 3 0 1
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