GATE CS 2014 Set 1 — Question 52
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Algorithms → Asymptotic Analysis → Control Flow
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Question
Consider the following pseudo code. What is the total number of multiplications to be performed?
D = 2
for i = 1 to n do
for j = i to n do
for k = j + 1 to n do
D = D * 3
Correct answer
(C) One-sixth of the product of the 3 consecutive integers.
Solution
The number of multiplications corresponds to the number of times the innermost statement executes. The loops are:
- from to
- from to
- from to
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