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basic_sort
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Hiroki Kumamoto
June 23, 2015
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basic_sort
ミニ勉強会でアルゴリズムについて話したスライド
Hiroki Kumamoto
June 23, 2015
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Transcript
Basic Sort Hiroki Kumamoto
Selection Sort • Ұ൪খ͍͞Λ୳͢ͱ͍͏ͷΛNճ܁Γฦ͢ • Ұ൪খ͍͞ͷΛa[i]ʹ࣋ͬͯ͘Δ • 1/2N^2 ͷൺֱ •
(N-1) + (N-2)+ …. + 1 + 0 • Nճͷަ • O(N^2)
• Visualize demo • http://kumabook.github.io/playground/ index.html#selection-sort
Insertion sort • i-1൪·Ͱ͕ྻ͍ͯ͠Δͱͯ͠ɺi൪ͷཁૉ Λ0..i൪ͷதͰਖ਼͍͠Ґஔʹૠೖ͢Δ • best case: ྻࡁΈ: N
-1 ͷൺֱ + 0ަ • worst case: ٯॱ: 1/2 N^2ͷൺֱ+ 1/2N^2ͷަ • O(N) ~ O(N^2)
• Visualize demo • http://kumabook.github.io/playground/ index.html#insertion-sort
Shell Sort • Insertion sort ٯॱʹฒΜͰ͍Δͱ͖ʹ͍ • → ͱͼͱͼͷinsertion sortԿճ͔ʹ͚ͯΔ
• Best sequence of increments? • 1, 3, 7, 15, 31, 63 … Powers of two minus one. • 1, 4, 13, 40, 121, 364…3x + 1 • ฏۉɿO (N ^ 3/2)
Shell Sort • αΠζͷখ͍͞ྻʹରͯ͠༗ޮ • bzip2, /linux/kernel/groups.c • ίʔυͷfoot print
͕খ͍͞ • uClibc
• Visualize demo • http://kumabook.github.io/playground/ index.html#shell-sort
Reference • Coursera: Algorithms, Part 1 • https://www.coursera.org/course/algs4partI • http://algs4.cs.princeton.edu/home/