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Huffman Coding Explained: Binary Trees and Priority Queues for Data Compression
1. Huffman Coding: An Application of Binary Trees and Priority Queues CS 102
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14. Building a Tree CS 102 E 1 i 1 y 1 l 1 k 1 . 1 r 2 s 2 n 2 a 2 sp 4 e 8
15. Building a Tree CS 102 E 1 i 1 y 1 l 1 k 1 . 1 r 2 s 2 n 2 a 2 sp 4 e 8 2
16. Building a Tree CS 102 E 1 i 1 y 1 l 1 k 1 . 1 r 2 s 2 n 2 a 2 sp 4 e 8 2
17. Building a Tree CS 102 E 1 i 1 k 1 . 1 r 2 s 2 n 2 a 2 sp 4 e 8 2 y 1 l 1 2
18. Building a Tree CS 102 E 1 i 1 k 1 . 1 r 2 s 2 n 2 a 2 sp 4 e 8 2 y 1 l 1 2
19. Building a Tree CS 102 E 1 i 1 r 2 s 2 n 2 a 2 sp 4 e 8 2 y 1 l 1 2 k 1 . 1 2
20. Building a Tree CS 102 E 1 i 1 r 2 s 2 n 2 a 2 sp 4 e 8 2 y 1 l 1 2 k 1 . 1 2
21. Building a Tree CS 102 E 1 i 1 n 2 a 2 sp 4 e 8 2 y 1 l 1 2 k 1 . 1 2 r 2 s 2 4
22. Building a Tree CS 102 E 1 i 1 n 2 a 2 sp 4 e 8 2 y 1 l 1 2 k 1 . 1 2 r 2 s 2 4
23. Building a Tree CS 102 E 1 i 1 sp 4 e 8 2 y 1 l 1 2 k 1 . 1 2 r 2 s 2 4 n 2 a 2 4
24. Building a Tree CS 102 E 1 i 1 sp 4 e 8 2 y 1 l 1 2 k 1 . 1 2 r 2 s 2 4 n 2 a 2 4
25. Building a Tree CS 102 E 1 i 1 sp 4 e 8 2 y 1 l 1 2 k 1 . 1 2 r 2 s 2 4 n 2 a 2 4 4
26. Building a Tree CS 102 E 1 i 1 sp 4 e 8 2 y 1 l 1 2 k 1 . 1 2 r 2 s 2 4 n 2 a 2 4 4
27. Building a Tree CS 102 E 1 i 1 sp 4 e 8 2 y 1 l 1 2 k 1 . 1 2 r 2 s 2 4 n 2 a 2 4 4 6
28. Building a Tree CS 102 E 1 i 1 sp 4 e 8 2 y 1 l 1 2 k 1 . 1 2 r 2 s 2 4 n 2 a 2 4 4 6 What is happening to the characters with a low number of occurrences?
29. Building a Tree CS 102 E 1 i 1 sp 4 e 8 2 y 1 l 1 2 k 1 . 1 2 r 2 s 2 4 n 2 a 2 4 4 6 8
30. Building a Tree CS 102 E 1 i 1 sp 4 e 8 2 y 1 l 1 2 k 1 . 1 2 r 2 s 2 4 n 2 a 2 4 4 6 8
31. Building a Tree CS 102 E 1 i 1 sp 4 e 8 2 y 1 l 1 2 k 1 . 1 2 r 2 s 2 4 n 2 a 2 4 4 6 8 10
32. Building a Tree CS 102 E 1 i 1 sp 4 e 8 2 y 1 l 1 2 k 1 . 1 2 r 2 s 2 4 n 2 a 2 4 4 6 8 10
33. Building a Tree CS 102 E 1 i 1 sp 4 e 8 2 y 1 l 1 2 k 1 . 1 2 r 2 s 2 4 n 2 a 2 4 4 6 8 10 16
34. Building a Tree CS 102 E 1 i 1 sp 4 e 8 2 y 1 l 1 2 k 1 . 1 2 r 2 s 2 4 n 2 a 2 4 4 6 8 10 16
35. Building a Tree CS 102 E 1 i 1 sp 4 e 8 2 y 1 l 1 2 k 1 . 1 2 r 2 s 2 4 n 2 a 2 4 4 6 8 10 16 26
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37. Building a Tree CS 102 Dequeue the single node left in the queue. This tree contains the new code words for each character. Frequency of root node should equal number of characters in text. Eerie eyes seen near lake. 26 characters E 1 i 1 sp 4 e 8 2 y 1 l 1 2 k 1 . 1 2 r 2 s 2 4 n 2 a 2 4 4 6 8 10 16 26
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Notas del editor
An Introduction to Huffman Coding March 21, 2000 Mike Scott
An Introduction to Huffman Coding March 21, 2000 Mike Scott
An Introduction to Huffman Coding March 21, 2000 Mike Scott
An Introduction to Huffman Coding March 21, 2000 Mike Scott
An Introduction to Huffman Coding March 21, 2000 Mike Scott
An Introduction to Huffman Coding March 21, 2000 Mike Scott
An Introduction to Huffman Coding March 21, 2000 Mike Scott
An Introduction to Huffman Coding March 21, 2000 Mike Scott
An Introduction to Huffman Coding March 21, 2000 Mike Scott
An Introduction to Huffman Coding March 21, 2000 Mike Scott
An Introduction to Huffman Coding March 21, 2000 Mike Scott
An Introduction to Huffman Coding March 21, 2000 Mike Scott
An Introduction to Huffman Coding March 21, 2000 Mike Scott
An Introduction to Huffman Coding March 21, 2000 Mike Scott
An Introduction to Huffman Coding March 21, 2000 Mike Scott
An Introduction to Huffman Coding March 21, 2000 Mike Scott
An Introduction to Huffman Coding March 21, 2000 Mike Scott
An Introduction to Huffman Coding March 21, 2000 Mike Scott
An Introduction to Huffman Coding March 21, 2000 Mike Scott
An Introduction to Huffman Coding March 21, 2000 Mike Scott
An Introduction to Huffman Coding March 21, 2000 Mike Scott
An Introduction to Huffman Coding March 21, 2000 Mike Scott
An Introduction to Huffman Coding March 21, 2000 Mike Scott
An Introduction to Huffman Coding March 21, 2000 Mike Scott
An Introduction to Huffman Coding March 21, 2000 Mike Scott
An Introduction to Huffman Coding March 21, 2000 Mike Scott
An Introduction to Huffman Coding March 21, 2000 Mike Scott
An Introduction to Huffman Coding March 21, 2000 Mike Scott
An Introduction to Huffman Coding March 21, 2000 Mike Scott
An Introduction to Huffman Coding March 21, 2000 Mike Scott
An Introduction to Huffman Coding March 21, 2000 Mike Scott
An Introduction to Huffman Coding March 21, 2000 Mike Scott
An Introduction to Huffman Coding March 21, 2000 Mike Scott
An Introduction to Huffman Coding March 21, 2000 Mike Scott
An Introduction to Huffman Coding March 21, 2000 Mike Scott
An Introduction to Huffman Coding March 21, 2000 Mike Scott
An Introduction to Huffman Coding March 21, 2000 Mike Scott
An Introduction to Huffman Coding March 21, 2000 Mike Scott
An Introduction to Huffman Coding March 21, 2000 Mike Scott
An Introduction to Huffman Coding March 21, 2000 Mike Scott