Answered: Analyze the run time and prove that the…

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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public static BinaryTreeNode buildBST(int[] keys){

Arrays.sort(keys);
return sortedBuildBST(keys,0,keys.length-1);

}
public static BinaryTreeNode sortedBuildBST(int[] keys, int start, int end){

if(start > end){return null;}

int mid = (start+end)/2;
BinaryTreeNode node = new BinaryTreeNode(keys[mid]);

node.left = sortedBuildBST(keys,start,mid-1);

node.right = sortedBuildBST(keys,mid+1, end);

return node;
}

Analyze the run time and prove that the constructed BST is no deeper than 1+log₂ n levels.

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