### Linear Probing and Hash Functions in Hash Tables**Hash Table Configuration:**- **Hash Table Name:** valsTable- **Hash Function:** key % 10 (modulo operation)- **Collision Handling Method:** Linear Probing**Hash Table Representation:**- **Total Buckets:** 10- **Bucket States Explanation:** - ![empty-since-start](https://via.placeholder.com/15/000000/000000?text=+) Empty-since-start - ![empty-after-removal](https://via.placeholder.com/15/808080/808080?text=+) Empty-after-removal - ![occupied](https://via.placeholder.com/15/FF0000/FF0000?text=+) Occupied**valsTable Contents:**- `valsTable[0] = 70` (Occupied)- `valsTable[1] = NULL` (Empty-since-start)- `valsTable[2] = 30` (Occupied)- `valsTable[3] = NULL` (Empty-since-start)- `valsTable[4] = 14` (Occupied)- `valsTable[5] = NULL` (Empty-since-start)- `valsTable[6] = 46` (Occupied)- `valsTable[7] = 37` (Occupied)- `valsTable[8] = 18` (Occupied)- `valsTable[9] = NULL` (Empty-since-start)**Operations and Questions:**1. **Operation:** `HashRemove(valsTable, 18)` 2. **Questions:** - **Question 1:** What is the specific sequence of buckets probed by `HashSearch(valsTable, 18)`? - **Answer Placeholder:** [ ] Ex: 1, 2, 3 (commas between values) - **Question 2:** What is the specific sequence of buckets probed by `HashSearch(valsTable, 30)`? - **Answer Placeholder:** [ ] (commas between values)**Interpretation:**- When a hash table uses linear probing, it handles collisions by checking the next bucket in the sequence until it finds an open slot or the item being searched for. This ensures efficient handling of collisions.**Instructions for Students:**- Use the hash function (`key % 10

Jump to level 1 valsTable: o 70 1 2 30 3 14 5 6 46 7 37 8 18 4 S Empty-since-start Empty-after-removal Occupied Hash table vals Table uses linear probing, a hash function of key % 10. The operation HashRemove(valsTable, 18) is performed. Ex: 1, 2, 3 What is the specific sequence of buckets probed by HashSearch(valTable, 18)? (commas between values) What is the specific sequence of buckets probed by HashSearch(valTable, 30)? (commas between values)

Jump to level 1 valsTable: o 70 1 2 30 3 14 5 6 46 7 37 8 18 4 S Empty-since-start Empty-after-removal Occupied Hash table vals Table uses linear probing, a hash function of key % 10. The operation HashRemove(valsTable, 18) is performed. Ex: 1, 2, 3 What is the specific sequence of buckets probed by HashSearch(valTable, 18)? (commas between values) What is the specific sequence of buckets probed by HashSearch(valTable, 30)? (commas between values)

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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Insert the following sequence of keys in the hash table.Keys = {4, 2, 1, 3, 5, 6, 8}Use linear probing technique for collision resolution: h(k, i) = [h(k) + i] mod mHash function, h(k) = 3k + 1Table size, M = 10 Draw the hash table, compute the index where the hashvalue will be inserted for each key, and show how you would use the technique when a collisionoccurs.
valsTable: o Empty-since-start 1 Empty-after-removal Occupied Hash table valsTable uses double probing with the hash functions hash1(key): key % 11 hash2(key): 5 - key % 5 and a table size of 11. 15 5 27 6. 7 HashInsert(valsTable, item 70) inserts item 70 into bucket Ex: 10 8 9 Hashlnsert(valsTable, item 62) inserts item 62 into bucket 10 Hashlnsert(valsTable, item 59) inserts item 59 into bucket 2. 3.
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2. Consider the Linear Hashing index. Linear Hashing | h1 000 001 010 011 ho ठ 00 01 10 11 Mod 8 (%68) Mod 4 (%4) 16* 21* 40* 37* 14* 18* 6* Primary Page 13* A. Show the resulting index after inserting the entry 9* C. Show the resulting index after inserting entry 7* 31* 19* 11* 23* B. Show the resulting index after inserting the entry 3* 30* D. Show the resulting index after inserting the entry 22* Overflow Page
vals Table: o 1 2 3 4 5 6 7 8 9 10 30 21 Empty-since-start Empty-after-removal Occupied Hash table valsTable uses double probing with the hash functions hash1(key): key % 11 hash2(key): 5-key % 5 and a table size of 11. HashInsert(vals Table, item 63) inserts item 63 into bucket Ex: 10 HashInsert(vals Table, item 62) inserts item 62 into bucket HashInsert(vals Table, item 32) inserts item 32 into bucket
A linear probing hash table of length 10 uses the hash function h(x) = x mod 10 + 1. mod is the reminder operator. For example the h(42) = 42 mod 10 + 1 = 2 + 1 = 3 so we insert 42 in the position 3 in the array. After inserting 6 integer keys into an initially empty hash table, the array of keys is…
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