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Hashing
Preview ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Searching ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Hashing ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Example (ideal) hash function ,[object Object],[object Object],kiwi banana watermelon apple mango cantaloupe grapes strawberry 0 1 2 3 4 5 6 7 8 9
Sets and tables ,[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 robin info sparrow info hawk info seagull info bluejay info owl info key value
Finding the hash function ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Example imperfect hash function ,[object Object],[object Object],• Now what? kiwi banana watermelon apple mango cantaloupe grapes strawberry 0 1 2 3 4 5 6 7 8 9
Collisions ,[object Object],[object Object],[object Object]
Handling collisions ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Insertion, I ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],seagull robin sparrow hawk bluejay owl . . . 141 142 143 144 145 146 147 148 . . .
Searching, I ,[object Object],[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
Searching, II ,[object Object],[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
Insertion, II ,[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 . . .
Insertion, III ,[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
Clustering ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Efficiency ,[object Object],[object Object],[object Object],[object Object]
Solution #2: Rehashing ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Solution #3: Bucket hashing ,[object Object],[object Object],robin sparrow hawk bluejay owl . . . 141 142 143 144 145 146 147 148 . . . seagull
The hashCode function ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Why do you care? ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Writing your own hashCode () ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Other considerations ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Hash tables in Java ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Hash table operations ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Bottom line ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
The End

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