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computer notes - Data Structures - 36

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The document discusses different methods for handling collisions in hash tables, which occur when two keys hash to the same slot. It describes linear probing, where the next empty slot is used to store the colliding key; quadratic probing which uses a quadratic function to determine subsequent slots; and chaining, where each slot contains a linked list of colliding keys. It notes the advantages and disadvantages of each approach.

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Class No.36 Data Structures http://ecomputernotes.com
Example Hash Functions ,[object Object],[object Object],[object Object],http://ecomputernotes.com
Collision ,[object Object],[object Object],kiwi banana watermelon apple mango cantaloupe grapes strawberry 0 1 2 3 4 5 6 7 8 9 • Now what? hash("honeydew") = 6 http://ecomputernotes.com
Collision ,[object Object],[object Object],[object Object],http://ecomputernotes.com
Solution for Handling collisions ,[object Object],[object Object],[object Object],http://ecomputernotes.com
Solution for Handling collisions ,[object Object],[object Object],http://ecomputernotes.com
Solution for Handling collisions ,[object Object],http://ecomputernotes.com
Solution 1: Open Addressing ,[object Object],[object Object],[object Object],http://ecomputernotes.com
Linear Probing ,[object Object],[object Object],http://ecomputernotes.com
Linear Probing: insert ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],robin sparrow hawk bluejay owl . . . 141 142 143 144 145 146 147 148 . . . seagull http://ecomputernotes.com
Linear Probing: insert ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],robin sparrow hawk seagull bluejay owl . . . 141 142 143 144 145 146 147 148 . . . http://ecomputernotes.com
Linear Probing: insert ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],robin sparrow hawk seagull bluejay owl . . . 141 142 143 144 145 146 147 148 http://ecomputernotes.com
Linear Probing: find ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],robin sparrow hawk seagull bluejay owl . . . 141 142 143 144 145 146 147 148 . . . http://ecomputernotes.com
Linear Probing and Deletion ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],http://ecomputernotes.com
Clustering ,[object Object],[object Object],[object Object],[object Object],http://ecomputernotes.com
Quadratic Probing ,[object Object],[object Object],[object Object],[object Object],[object Object],http://ecomputernotes.com
Collision resolution: chaining ,[object Object],[object Object],4 10 123 key entry key entry key entry key entry key entry No need to change position! http://ecomputernotes.com
Collision resolution: chaining ,[object Object],[object Object],[object Object],[object Object],[object Object],4 10 123 key entry key entry key entry key entry key entry http://ecomputernotes.com

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computer notes - Data Structures - 36

  • 1. Class No.36 Data Structures http://ecomputernotes.com
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Editor's Notes

  1. End of lecture 41. Start of lecture 42.
  2. End of Lecture 42.