Jump to level 1 Hash table valsTable is shown below. The hash function is key % 5. Assume items are inserted at the end of a bucket's list. valsTable: o 50 1 2 12 3

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
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**Hash Table Operations**

**Introduction to Hashing:**
A hash table `valsTable` is shown below. The hash function used here is `key % 5`. Assume that items are inserted at the end of a bucket's list.

**Hash Table Diagram:**
```
valsTable:
    -----------
 0 |           |
    -----------
 1 |     50    |
    -----------
 2 |           |
    -----------
 3 |     12    |
    -----------
 4 |     49    |
    -----------
```

**Description of Diagram:** 
- Index 0 has no items.
- Index 1 contains the item 50.
- Index 2 has no items.
- Index 3 contains the item 12.
- Index 4 contains the item 49.

**Operations:**
After performing the following operations:
- `HashInsert(valsTable, item 100)`
- `HashInsert(valsTable, item 26)`

**Task:**
Select the bucket containing the following items:

1. **Item: 26**
   - Use the dropdown to select the correct bucket.

2. **Item: 50**
   - Use the dropdown to select the correct bucket.

3. **Item: 100**
   - Use the dropdown to select the correct bucket.

**User Interface Instructions:**
1. Choose the appropriate index (0-4) from the dropdown for each item:
   - `Select` 0, 1, 2, 3, or 4.
   
2. Click the `Check` button to confirm your selections.
3. Click the `Next` button to proceed.

By understanding the implementation of the hash function and how items are stored, you can effectively determine the correct buckets for the given items.

**Example Calculation:**
- For item 100, the bucket index is `100 % 5 = 0`.
- For item 26, the bucket index is `26 % 5 = 1`.

Therefore, the updated table should look like this:
```
    -----------
 0 |   100     |
    -----------
 1 |  50, 26   |
    -----------
 2 |           |
    -----------
 3 |    12     |
    -----------
 4 |    49     |
    -----------
```

Select the correct buckets based on this computation.
Transcribed Image Text:**Hash Table Operations** **Introduction to Hashing:** A hash table `valsTable` is shown below. The hash function used here is `key % 5`. Assume that items are inserted at the end of a bucket's list. **Hash Table Diagram:** ``` valsTable: ----------- 0 | | ----------- 1 | 50 | ----------- 2 | | ----------- 3 | 12 | ----------- 4 | 49 | ----------- ``` **Description of Diagram:** - Index 0 has no items. - Index 1 contains the item 50. - Index 2 has no items. - Index 3 contains the item 12. - Index 4 contains the item 49. **Operations:** After performing the following operations: - `HashInsert(valsTable, item 100)` - `HashInsert(valsTable, item 26)` **Task:** Select the bucket containing the following items: 1. **Item: 26** - Use the dropdown to select the correct bucket. 2. **Item: 50** - Use the dropdown to select the correct bucket. 3. **Item: 100** - Use the dropdown to select the correct bucket. **User Interface Instructions:** 1. Choose the appropriate index (0-4) from the dropdown for each item: - `Select` 0, 1, 2, 3, or 4. 2. Click the `Check` button to confirm your selections. 3. Click the `Next` button to proceed. By understanding the implementation of the hash function and how items are stored, you can effectively determine the correct buckets for the given items. **Example Calculation:** - For item 100, the bucket index is `100 % 5 = 0`. - For item 26, the bucket index is `26 % 5 = 1`. Therefore, the updated table should look like this: ``` ----------- 0 | 100 | ----------- 1 | 50, 26 | ----------- 2 | | ----------- 3 | 12 | ----------- 4 | 49 | ----------- ``` Select the correct buckets based on this computation.
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