Looking at the following algorithm, please give an analysis of it in terms of time complexity using mathematics and put it in big O notation!   Algorithm A:   k := 0   For i = 1 to n:         For j = (i + 1) to n:               k = k + j + i   Return k

Database System Concepts
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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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Looking at the following algorithm, please give an analysis of it in terms of time complexity using mathematics and put it in big O notation!

 

Algorithm A:

 

k := 0

 

For i = 1 to n:

 

      For j = (i + 1) to n:

 

            k = k + j + i

 

Return k

 

 

 

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Can you try to go more in detail about why the inner loop runs n-1 times? I'm still not quite getting how the loops work

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