Computer Science Engineering (CSE) Exam > Computer Science Engineering (CSE) Questions > Which of the following is not O(n^2)?a)(15^10...
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Which of the following is not O(n^2)?
- a)(15^10) * n + 12099
- b)n^1.98
- c)n^3 / (sqrt(n))
- d)(2^20) * n
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
Which of the following is not O(n^2)?a)(15^10) * n + 12099b)n^1.98c)n^...
Explanation:
O(n^2) denotes that the time complexity of an algorithm is proportional to the square of the size of the input data.
a) (15^10) * n - This is O(n^2) because the n term dominates the constant term.
b) n^1.98 - This is not O(n^2) because the power of n is less than 2.
c) n^3 / (sqrt(n)) - This is not O(n^2) because the square root term is less than the n^2 term.
d) (2^20) * n - This is O(n^2) because the n term dominates the constant term.
Therefore, option C is not O(n^2).
O(n^2) denotes that the time complexity of an algorithm is proportional to the square of the size of the input data.
a) (15^10) * n - This is O(n^2) because the n term dominates the constant term.
b) n^1.98 - This is not O(n^2) because the power of n is less than 2.
c) n^3 / (sqrt(n)) - This is not O(n^2) because the square root term is less than the n^2 term.
d) (2^20) * n - This is O(n^2) because the n term dominates the constant term.
Therefore, option C is not O(n^2).
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Which of the following is not O(n^2)?a)(15^10) * n + 12099b)n^1.98c)n^...
The order of growth of option c is n2.5 which is higher than n2.
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