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If you convert a node from a (2,4)-tree into a little Red-black subtree, how many black nodes will it have? If the height of a (2,4)-tree containing n items is h, and you convert it to a Red-black tree, what will its height be? On Oh O2*n O2*h OBetween n and 2*n OBetween h and 2*h If the height of a (2,4)-tree containing n items is h, and you convert it to a Red-black tree, what will its black-height be? 1. On Oh O2*n O2*h OBetween n and 2*n OBetween h and 2*h

If you convert a node from a (2,4)-tree into a little Red-black subtree, how many black nodes will it have? If the height of a (2,4)-tree containing n items is h, and you convert it to a Red-black tree, what will its height be? On Oh O2*n O2*h OBetween n and 2*n OBetween h and 2*h If the height of a (2,4)-tree containing n items is h, and you convert it to a Red-black tree, what will its black-height be? 1. On Oh O2*n O2*h OBetween n and 2*n OBetween h and 2*h

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
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### Converting a (2,4)-Tree to a Red-Black Tree #### Problem Statement 1. **Node Conversion:** - When you convert a node from a (2,4)-tree into a small Red-black subtree, how many black nodes will it have? - (Answer this by filling in the blank provided). 2. **Height Conversion:** - If the height of a (2,4)-tree containing \( n \) items is \( h \), and you convert it to a Red-black tree, what will its height be? - Choose one of the following options: - \( n \) - \( h \) - \( 2 \times n \) - \( 2 \times h \) - Between \( n \) and \( 2 \times n \) - Between \( h \) and \( 2 \times h \) 3. **Black-height Calculation:** - If the height of a (2,4)-tree containing \( n \) items is \( h \), and you convert it to a Red-black tree, what will its black-height be? - Choose one of the following options: - \( n \) - \( h \) - \( 2 \times n \) - \( 2 \times h \) - Between \( n \) and \( 2 \times n \) - Between \( h \) and \( 2 \times h \) These questions are designed to help understand the relationship between (2,4)-trees and Red-black trees, specifically focusing on node conversion, tree height, and black-height after conversion.
Transcribed Image Text:### Converting a (2,4)-Tree to a Red-Black Tree #### Problem Statement 1. **Node Conversion:** - When you convert a node from a (2,4)-tree into a small Red-black subtree, how many black nodes will it have? - (Answer this by filling in the blank provided). 2. **Height Conversion:** - If the height of a (2,4)-tree containing \( n \) items is \( h \), and you convert it to a Red-black tree, what will its height be? - Choose one of the following options: - \( n \) - \( h \) - \( 2 \times n \) - \( 2 \times h \) - Between \( n \) and \( 2 \times n \) - Between \( h \) and \( 2 \times h \) 3. **Black-height Calculation:** - If the height of a (2,4)-tree containing \( n \) items is \( h \), and you convert it to a Red-black tree, what will its black-height be? - Choose one of the following options: - \( n \) - \( h \) - \( 2 \times n \) - \( 2 \times h \) - Between \( n \) and \( 2 \times n \) - Between \( h \) and \( 2 \times h \) These questions are designed to help understand the relationship between (2,4)-trees and Red-black trees, specifically focusing on node conversion, tree height, and black-height after conversion.
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  1. Converting (2,4) tree into red -black tree how many black node it will have 
  2. Converting (2,4) tree into red -black tree , height of the resulting tree
  3. Converting (2,4) tree into red -black tree ,height of black tree.
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