Insert the keys <13, 19, 35, 71, 31, 6, 23, 4> into hash table of size m=11 using linear probing hashing. Here, h(k, i) =((k mod m) + i) mod m, i=0,1,2,…. How many times you have to increment i to resolve collisions?

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
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Insert the keys <13, 19, 35, 71, 31, 6, 23, 4> into hash table of size m=11 using linear probing hashing. Here, h(k, i) =((k mod m) + i) mod m, i=0,1,2,….

How many times you have to increment i to resolve collisions?

Expert Solution
Step 1

Inserting 13
13 mod 11 = 2
13 is inserted at position 2

Inserting 19
19 mod 11 = 8
19 is inserted at position 8

Inserting 35
35 mod 11 = 2
There is already an item in 2
So, checking at index 3
35 is inserted at position 3

Inserting 71
71 mod 11 = 5
71 is inserted at position 5

Inserting 31
31 mod 11 = 9
31 is inserted at position 9

Inserting 6
6 mod 11 = 6
6 is inserted at position 6

Inserting 23
23 mod 11 = 1
23 is inserted at position 1

 

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