Given:• a hash function: h(x) = | 3x + 1 | mod M• bucket array of capacity 'N'• set of objects with the folloeing keys: 12, 44, 13, 88, 23, 94, 11, 39, 20, 16, 5 (to input from left to right) 1. What would be the hash table where M=N=11 and collisions are taken care of using linear probing? 2. What would be the hash table where M=N=11 and collisions are taken care of using separate chaining? 3. Would a size N for the bucket array be able to exist, so that no collisions happen with thehash function h(x) = | 2x + 5 | mod 11 and the keys above?

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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Given:
• a hash function: h(x) = | 3x + 1 | mod M
• bucket array of capacity 'N'
• set of objects with the folloeing keys: 12, 44, 13, 88, 23, 94, 11, 39, 20, 16, 5 (to input from left to right)

1. What would be the hash table where M=N=11 and collisions are taken care of using linear probing?

2. What would be the hash table where M=N=11 and collisions are taken care of using separate chaining?

3. Would a size N for the bucket array be able to exist, so that no collisions happen with the
hash function h(x) = | 2x + 5 | mod 11 and the keys above?

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