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Questions and Answers
What is the result of $89 % 10$?
What is the result of $89 % 10$?
Which value corresponds to $58 % 10$?
Which value corresponds to $58 % 10$?
Identify the value that is not a remainder when divided by 10 from the given options.
Identify the value that is not a remainder when divided by 10 from the given options.
Which of the following values represents the remainder of $49 % 10$?
Which of the following values represents the remainder of $49 % 10$?
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What remainder is obtained when $79$ is divided by $10$?
What remainder is obtained when $79$ is divided by $10$?
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What formula is used for collision resolution in linear probing?
What formula is used for collision resolution in linear probing?
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When using quadratic probing, how is the collision resolution calculated?
When using quadratic probing, how is the collision resolution calculated?
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In the example given for linear probing, what is the computed index for the key 79 when using the provided method?
In the example given for linear probing, what is the computed index for the key 79 when using the provided method?
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Which of the following statements about open addressing is true?
Which of the following statements about open addressing is true?
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What is the size of the table used in the examples provided for the probing techniques?
What is the size of the table used in the examples provided for the probing techniques?
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Study Notes
Open Addressing, Closed Hashing
- Linear Probing: Used in closed hashing. Calculates the next hash index by incrementing the original index.
- Collision Handling: If a key's hash index is already occupied, the next available slot along the index array is used.
- Example: For a hash table size of 10, if key 38 maps to index 8 and it's taken, probing moves to index 9, and so on.
- Collision Formula: (key + i) % length, where 'i' is the probe number. This formula shows how to calculate a new index when collision occurs.
Quadratic Probing
- Collision Resolution: Calculates the next hash index by incrementing the original index. If occupied, it tries the next index using a quadratic formula instead of a linear one.
- Formula: (key + i * i) % size of table.
- Example Application: Handles collisions more efficiently in hash tables compared to linear probing.
Double Hashing
- Collision Resolution: Uses a secondary hash function to calculate the step size between collision probes.
- Formula: h(key) = key % tableSize, g(key) = 1 + [(key/tableSize) % (tableSize - 1)]
- Key Functions: It uses two independent hashing functions: one calculates the initial index and one determines the step size for probing.
- Example Usage: Handles collisions by using sequences determined by a step size formula.
General Hashing
- Hash Function: Computes an index from a key.
- Hash Table: A data structure used to store data efficiently.
- Collision: The situation when multiple keys generate the same index in a hash table.
- Load Factor: The ratio of the number of keys in a hash table to the size of the table (number of slots).
- Types: Closed and open addressing.
- Possible Order Keys: Can check if an order of keys in a hash table is feasible after insertion.
- Hash Types: Linear, Quadratic, Double Hashing (techniques for managing collisions in a hash table).
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Description
This quiz explores various hashing techniques used in data structures, including open addressing methods such as linear probing, quadratic probing, and double hashing. Understand how these methods handle collisions and their respective formulas for index calculations.
