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valsTable: o 44 1 2 3 4 5 6 7 8 6 10 Empty-since-start Empty-after-removal Occupied Hash table vals Table uses quadratic probing, a hash function of key % 11, c1 = 1, and c2 = 1. How many buckets does HashSearch(vals Table, 64) probe? How many buckets does HashInsert(valsTable, item 64) probe? Ex: 9

valsTable: o 44 1 2 3 4 5 6 7 8 6 10 Empty-since-start Empty-after-removal Occupied Hash table vals Table uses quadratic probing, a hash function of key % 11, c1 = 1, and c2 = 1. How many buckets does HashSearch(vals Table, 64) probe? How many buckets does HashInsert(valsTable, item 64) probe? Ex: 9

Computer Networking: A Top-Down Approach (7th Edition)
Computer Networking: A Top-Down Approach (7th Edition)
7th Edition
ISBN:9780133594140
Author:James Kurose, Keith Ross
Publisher:James Kurose, Keith Ross
Chapter1: Computer Networks And The Internet
Section: Chapter Questions
Problem R1RQ: What is the difference between a host and an end system? List several different types of end...
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### Quadratic Probing Hash Table Illustration #### Hash Table (valsTable) **Explanation:** The hash table `valsTable` uses quadratic probing and a specific hash function. Below is a visual representation of the hash table and the key parameters for its operation: - **Hash Function:** `key % 11` - **Probing Parameters:** `c1 = 1` and `c2 = 1` **valsTable Structure:** - **Index 0:** `44` (Occupied) - **Index 1:** (Empty-since-start) - **Index 2:** (Empty-since-start) - **Index 3:** (Empty-since-start) - **Index 4:** (Empty-since-start) - **Index 5:** (Empty-since-start) - **Index 6:** (Empty-since-start) - **Index 7:** (Empty-since-start) - **Index 8:** (Empty-since-start) - **Index 9:** (Empty-after-removal) - **Index 10:** (Empty-since-start) **Color Legend:** - **Empty-since-start:** ![#ffffff](https://via.placeholder.com/15/FFFFFF/FFFFFF?text=+) Blue border - **Empty-after-removal:** ![#d3d3d3](https://via.placeholder.com/15/D3D3D3/D3D3D3?text=+) Grey background - **Occupied:** ![#ffa07a](https://via.placeholder.com/15/FFA07A/FFA07A?text=+) Orange background #### Questions 1. **How many buckets does `HashSearch(valsTable, 64)` probe?** 2. **How many buckets does `HashInsert(valsTable, item 64)` probe?** Here is an example input field for answers: - Ex: 9 - (Input Field for a new probe) #### Note: - The hash table probing uses quadratic probing, which means the ith probe will be calculated as `(hash + c1*i + c2* i^2) % table_size`. - The example provided should guide you in understanding the probing sequence and the pattern in use. This hash table is a fundamental part of understanding how data structures and algorithms function, especially in terms of handling collisions using methods like quadratic probing.
Transcribed Image Text:### Quadratic Probing Hash Table Illustration #### Hash Table (valsTable) **Explanation:** The hash table `valsTable` uses quadratic probing and a specific hash function. Below is a visual representation of the hash table and the key parameters for its operation: - **Hash Function:** `key % 11` - **Probing Parameters:** `c1 = 1` and `c2 = 1` **valsTable Structure:** - **Index 0:** `44` (Occupied) - **Index 1:** (Empty-since-start) - **Index 2:** (Empty-since-start) - **Index 3:** (Empty-since-start) - **Index 4:** (Empty-since-start) - **Index 5:** (Empty-since-start) - **Index 6:** (Empty-since-start) - **Index 7:** (Empty-since-start) - **Index 8:** (Empty-since-start) - **Index 9:** (Empty-after-removal) - **Index 10:** (Empty-since-start) **Color Legend:** - **Empty-since-start:** ![#ffffff](https://via.placeholder.com/15/FFFFFF/FFFFFF?text=+) Blue border - **Empty-after-removal:** ![#d3d3d3](https://via.placeholder.com/15/D3D3D3/D3D3D3?text=+) Grey background - **Occupied:** ![#ffa07a](https://via.placeholder.com/15/FFA07A/FFA07A?text=+) Orange background #### Questions 1. **How many buckets does `HashSearch(valsTable, 64)` probe?** 2. **How many buckets does `HashInsert(valsTable, item 64)` probe?** Here is an example input field for answers: - Ex: 9 - (Input Field for a new probe) #### Note: - The hash table probing uses quadratic probing, which means the ith probe will be calculated as `(hash + c1*i + c2* i^2) % table_size`. - The example provided should guide you in understanding the probing sequence and the pattern in use. This hash table is a fundamental part of understanding how data structures and algorithms function, especially in terms of handling collisions using methods like quadratic probing.
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