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COSC242 - Assignment 1

Group members

  • Connor Dobson - dobco402
  • Hayden Knox - hnoha805
  • Eddie Finlayson - fined080

Findings

Throughout our testing with different data double hashing has consistently provided better hashing results than linear probing.

Using double hashing compared to linear probing has resulted in less collisions, especially when the hash table is above 60% full

Evidence

The following tables were using the war-and-peace-20.txt file located in the coursework folder.

The following tables below have a hash table capacity of 113

Linear Probing - Hash Table Capacity 113

Percent Full Current Entries Percent At Home Average Collisions Maximum Collisions
10 11 90.9 0.09 1
20 22 86.4 0.14 1
30 33 75.8 0.36 4
40 45 71.1 0.40 4
50 56 69.6 0.46 4
60 67 65.7 0.60 4
70 79 57.0 1.20 14
80 90 53.3 1.68 17
90 101 49.5 3.03 42
100 113 46.0 6.60 107

Double Hashing - Hash Table Capacity 113

Percent Full Current Entries Percent At Home Average Collisions Maximum Collisions
10 11 81.8 0.18 1
20 22 81.8 0.18 1
30 33 69.7 0.36 3
40 45 66.7 0.42 3
50 56 62.5 0.45 3
60 67 62.7 0.49 3
70 79 57.0 0.67 4
80 90 53.3 0.82 9
90 101 49.5 1.12 9
100 113 46.0 2.99 58

The following tables below have a hash table capacity of 1109

Linear Probing - Hash Table Capacity 1109

Percent Full Current Entries Percent At Home Average Collisions Maximum Collisions
10 100 90.0 0.12 2
20 201 89.6 0.14 3
30 302 85.1 0.20 3
40 403 79.2 0.32 5
50 504 73.6 0.46 8
60 605 69.8 0.69 24
70 706 65.0 1.02 25
80 807 59.5 1.76 46
90 908 54.7 3.59 135
100 1009 49.8 14.22 954

Double Hashing - Hash Table Capacity 1109

Percent Full Current Entries Percent At Home Average Collisions Maximum Collisions
10 100 92.0 0.08 1
20 201 90.5 0.10 2
30 302 86.1 0.17 2
40 403 80.4 0.27 4
50 504 74.4 0.37 4
60 605 71.4 0.50 11
70 706 66.7 0.71 14
80 807 61.0 1.06 14
90 908 56.6 1.52 48
100 1009 51.2 5.91 744