Computer Science Engineering (CSE) Exam  >  Computer Science Engineering (CSE) Questions  >  A 3-ary max heap is like a binary max heap, b... Start Learning for Free
A 3-ary max heap is like a binary max heap, but instead of 2 children, nodes have 3 children. A 3-ary heap can be represented by an array as follows: The root is stored in the first location, a[0], nodes in the next level, from left to right, is stored from a[1] to a[3]. The nodes from the second level of the tree from left to right are stored from a[4] location onward. An item x can be inserted into a 3-ary heap containing n items by placing x in the location a[n] and pushing it up the tree to satisfy the heap property. Which one of the following is a valid sequence of elements in an array representing 3-ary max heap?
  • a)
    1, 3, 5, 6, 8, 9
  • b)
    9, 6, 3, 1, 8, 5
  • c)
    9, 3, 6, 8, 5, 1
  • d)
    9, 5, 6, 8, 3, 1
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
A 3-ary max heap is like a binary max heap, but instead of 2 children,...
Following 3-ary Max Heap can be constructed from sequence given option (D)
View all questions of this test
Most Upvoted Answer
A 3-ary max heap is like a binary max heap, but instead of 2 children,...
Explanation:
A 3-ary max heap is a tree-based data structure where each node has at most 3 children and the value of each node is greater than or equal to its children. This can be represented by an array where the root is stored at index 0 and the children of a node at index i are stored at indices 3i+1, 3i+2, and 3i+3.

To determine if a given sequence of elements is a valid sequence for a 3-ary max heap, we need to check if the sequence satisfies the max heap property, i.e., the value of each node is greater than or equal to its children.

Option D: 9, 5, 6, 8, 3, 1

Let's represent this sequence in a 3-ary max heap:

9
/ | \
5 6 8
/ \
3 1

This satisfies the max heap property, as the value of each node is greater than or equal to its children. Therefore, option D is the correct answer.

Note: We can verify that the other options are not valid sequences for a 3-ary max heap by representing them as trees and checking if they satisfy the max heap property.
Explore Courses for Computer Science Engineering (CSE) exam

Similar Computer Science Engineering (CSE) Doubts

Top Courses for Computer Science Engineering (CSE)

A 3-ary max heap is like a binary max heap, but instead of 2 children, nodes have 3 children. A 3-ary heap can be represented by an array as follows: The root is stored in the first location, a[0], nodes in the next level, from left to right, is stored from a[1] to a[3]. The nodes from the second level of the tree from left to right are stored from a[4] location onward. An item x can be inserted into a 3-ary heap containing n items by placing x in the location a[n] and pushing it up the tree to satisfy the heap property. Which one of the following is a valid sequence of elements in an array representing 3-ary max heap?a)1, 3, 5, 6, 8, 9b)9, 6, 3, 1, 8, 5c)9, 3, 6, 8, 5, 1d)9, 5, 6, 8, 3, 1Correct answer is option 'D'. Can you explain this answer?
Question Description
A 3-ary max heap is like a binary max heap, but instead of 2 children, nodes have 3 children. A 3-ary heap can be represented by an array as follows: The root is stored in the first location, a[0], nodes in the next level, from left to right, is stored from a[1] to a[3]. The nodes from the second level of the tree from left to right are stored from a[4] location onward. An item x can be inserted into a 3-ary heap containing n items by placing x in the location a[n] and pushing it up the tree to satisfy the heap property. Which one of the following is a valid sequence of elements in an array representing 3-ary max heap?a)1, 3, 5, 6, 8, 9b)9, 6, 3, 1, 8, 5c)9, 3, 6, 8, 5, 1d)9, 5, 6, 8, 3, 1Correct answer is option 'D'. Can you explain this answer? for Computer Science Engineering (CSE) 2024 is part of Computer Science Engineering (CSE) preparation. The Question and answers have been prepared according to the Computer Science Engineering (CSE) exam syllabus. Information about A 3-ary max heap is like a binary max heap, but instead of 2 children, nodes have 3 children. A 3-ary heap can be represented by an array as follows: The root is stored in the first location, a[0], nodes in the next level, from left to right, is stored from a[1] to a[3]. The nodes from the second level of the tree from left to right are stored from a[4] location onward. An item x can be inserted into a 3-ary heap containing n items by placing x in the location a[n] and pushing it up the tree to satisfy the heap property. Which one of the following is a valid sequence of elements in an array representing 3-ary max heap?a)1, 3, 5, 6, 8, 9b)9, 6, 3, 1, 8, 5c)9, 3, 6, 8, 5, 1d)9, 5, 6, 8, 3, 1Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for Computer Science Engineering (CSE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A 3-ary max heap is like a binary max heap, but instead of 2 children, nodes have 3 children. A 3-ary heap can be represented by an array as follows: The root is stored in the first location, a[0], nodes in the next level, from left to right, is stored from a[1] to a[3]. The nodes from the second level of the tree from left to right are stored from a[4] location onward. An item x can be inserted into a 3-ary heap containing n items by placing x in the location a[n] and pushing it up the tree to satisfy the heap property. Which one of the following is a valid sequence of elements in an array representing 3-ary max heap?a)1, 3, 5, 6, 8, 9b)9, 6, 3, 1, 8, 5c)9, 3, 6, 8, 5, 1d)9, 5, 6, 8, 3, 1Correct answer is option 'D'. Can you explain this answer?.
Solutions for A 3-ary max heap is like a binary max heap, but instead of 2 children, nodes have 3 children. A 3-ary heap can be represented by an array as follows: The root is stored in the first location, a[0], nodes in the next level, from left to right, is stored from a[1] to a[3]. The nodes from the second level of the tree from left to right are stored from a[4] location onward. An item x can be inserted into a 3-ary heap containing n items by placing x in the location a[n] and pushing it up the tree to satisfy the heap property. Which one of the following is a valid sequence of elements in an array representing 3-ary max heap?a)1, 3, 5, 6, 8, 9b)9, 6, 3, 1, 8, 5c)9, 3, 6, 8, 5, 1d)9, 5, 6, 8, 3, 1Correct answer is option 'D'. Can you explain this answer? in English & in Hindi are available as part of our courses for Computer Science Engineering (CSE). Download more important topics, notes, lectures and mock test series for Computer Science Engineering (CSE) Exam by signing up for free.
Here you can find the meaning of A 3-ary max heap is like a binary max heap, but instead of 2 children, nodes have 3 children. A 3-ary heap can be represented by an array as follows: The root is stored in the first location, a[0], nodes in the next level, from left to right, is stored from a[1] to a[3]. The nodes from the second level of the tree from left to right are stored from a[4] location onward. An item x can be inserted into a 3-ary heap containing n items by placing x in the location a[n] and pushing it up the tree to satisfy the heap property. Which one of the following is a valid sequence of elements in an array representing 3-ary max heap?a)1, 3, 5, 6, 8, 9b)9, 6, 3, 1, 8, 5c)9, 3, 6, 8, 5, 1d)9, 5, 6, 8, 3, 1Correct answer is option 'D'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of A 3-ary max heap is like a binary max heap, but instead of 2 children, nodes have 3 children. A 3-ary heap can be represented by an array as follows: The root is stored in the first location, a[0], nodes in the next level, from left to right, is stored from a[1] to a[3]. The nodes from the second level of the tree from left to right are stored from a[4] location onward. An item x can be inserted into a 3-ary heap containing n items by placing x in the location a[n] and pushing it up the tree to satisfy the heap property. Which one of the following is a valid sequence of elements in an array representing 3-ary max heap?a)1, 3, 5, 6, 8, 9b)9, 6, 3, 1, 8, 5c)9, 3, 6, 8, 5, 1d)9, 5, 6, 8, 3, 1Correct answer is option 'D'. Can you explain this answer?, a detailed solution for A 3-ary max heap is like a binary max heap, but instead of 2 children, nodes have 3 children. A 3-ary heap can be represented by an array as follows: The root is stored in the first location, a[0], nodes in the next level, from left to right, is stored from a[1] to a[3]. The nodes from the second level of the tree from left to right are stored from a[4] location onward. An item x can be inserted into a 3-ary heap containing n items by placing x in the location a[n] and pushing it up the tree to satisfy the heap property. Which one of the following is a valid sequence of elements in an array representing 3-ary max heap?a)1, 3, 5, 6, 8, 9b)9, 6, 3, 1, 8, 5c)9, 3, 6, 8, 5, 1d)9, 5, 6, 8, 3, 1Correct answer is option 'D'. Can you explain this answer? has been provided alongside types of A 3-ary max heap is like a binary max heap, but instead of 2 children, nodes have 3 children. A 3-ary heap can be represented by an array as follows: The root is stored in the first location, a[0], nodes in the next level, from left to right, is stored from a[1] to a[3]. The nodes from the second level of the tree from left to right are stored from a[4] location onward. An item x can be inserted into a 3-ary heap containing n items by placing x in the location a[n] and pushing it up the tree to satisfy the heap property. Which one of the following is a valid sequence of elements in an array representing 3-ary max heap?a)1, 3, 5, 6, 8, 9b)9, 6, 3, 1, 8, 5c)9, 3, 6, 8, 5, 1d)9, 5, 6, 8, 3, 1Correct answer is option 'D'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice A 3-ary max heap is like a binary max heap, but instead of 2 children, nodes have 3 children. A 3-ary heap can be represented by an array as follows: The root is stored in the first location, a[0], nodes in the next level, from left to right, is stored from a[1] to a[3]. The nodes from the second level of the tree from left to right are stored from a[4] location onward. An item x can be inserted into a 3-ary heap containing n items by placing x in the location a[n] and pushing it up the tree to satisfy the heap property. Which one of the following is a valid sequence of elements in an array representing 3-ary max heap?a)1, 3, 5, 6, 8, 9b)9, 6, 3, 1, 8, 5c)9, 3, 6, 8, 5, 1d)9, 5, 6, 8, 3, 1Correct answer is option 'D'. Can you explain this answer? tests, examples and also practice Computer Science Engineering (CSE) tests.
Explore Courses for Computer Science Engineering (CSE) exam

Top Courses for Computer Science Engineering (CSE)

Explore Courses
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
10M+ students study on EduRev