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Computer notes - Example Hash Functions

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If the keys are integers then key%T is generally a good hash function, unless the data has some undesirable features.For example, if T = 10 and all keys end in zeros, then key%T = 0 for all keys. In general, to avoid situations like this, T should be a prime number

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

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Computer notes - Example Hash Functions

  • 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.