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Build a min_heap from an array of n items: CO(1) OO( log n) OO(n) (n log n ) * CO( n? )

Build a min_heap from an array of n items: CO(1) OO( log n) OO(n) (n log n ) * CO( n? )

Database System Concepts
Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
Section: Chapter Questions
Problem 1PE
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### Question: Build a min_heap from an array of n items Options: - \(\Theta(1)\) - \(\Theta(\log n)\) - \(\Theta(n)\) - \(\Theta(n \log n)\) (Marked as incorrect with a red "X") - \(\Theta(n^2)\) The task is to determine the time complexity for building a min-heap from an array of \(n\) elements. The correct time complexity is \(\Theta(n)\).
Transcribed Image Text:### Question: Build a min_heap from an array of n items Options: - \(\Theta(1)\) - \(\Theta(\log n)\) - \(\Theta(n)\) - \(\Theta(n \log n)\) (Marked as incorrect with a red "X") - \(\Theta(n^2)\) The task is to determine the time complexity for building a min-heap from an array of \(n\) elements. The correct time complexity is \(\Theta(n)\).
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Step 1

Find the time complexity of min_heap from an array of n items:

O(1)

O(log n)

O(n)

O(n log n)

O(n^2)

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