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[Foundations of Algorithms (5th): Chapter 12, Question 4] Assuming that one person can add two number...

[Foundations of Algorithms (5th): Chapter 12, Question 4]

Assuming that one person can add two number in ta time, how long will it take that person to add all n numbers of a list, if we consider the operation of addition as the basic operation? Justify your answer

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Answer #1

Given : Addition is a basic operation

Answer : For a list of n numbers the time taken is (n-1)*ta.

The following picture shows the simulation for the answer to justify the above solution. Each addition operation is taking ta  time

and is producing a result which is added to another number in list taking further ta time and this keeps on going.

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