If we use a hash table, there must be a slot/bucket that has at least a keysassigned to it, where a is the load factor of the current hash table.TrueFalseA binary search tree of n nodes may have a depth/height as large as 2(n).FalseTrueIf A[1...n] is sorted, we can find the k th smallest element in A[1..n] in O(1)time.TrueFalse

Answered: If we use a hash table, there must be a…

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

If we use a hash table, there must be a slot/bucket that has at least a keys
assigned to it, where a is the load factor of the current hash table.
True
False
A binary search tree of n nodes may have a depth/height as large as 2(n).
False
True
If A[1...n] is sorted, we can find the k th smallest element in A[1..n] in O(1)
time.
True
False

Expert Solution

Step 1

In hash table, it contains keys and in that keys the values are inserted.

The load factor in the hash table= number of elements/number of slots.

That means load factor defines the average number of elements per slot. So, given statement is True. Because to get the average as $α$ , some slots are less than load factor, to balance it definitely some slots contain at least $α$ keys.

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