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merges sort

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Avatar for Hiroki Kumamoto Hiroki Kumamoto
July 21, 2015
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merges sort

ミニ勉強会でmerge sortについて話したスライド

Avatar for Hiroki Kumamoto

Hiroki Kumamoto

July 21, 2015

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Transcript

  1. Merge Sort Hiroki Kumamoto

  2. Merge sort • ഑ྻΛ̎ͭʹ෼͚Δ • ͦΕͧΕΛιʔτʢ࠶ؼతʣ • ̎ͭΛϚʔδ͢Δ • ιʔτࡁΈͷ̎ͭͷ഑ྻΛϚʔδͯ͠ιʔτ

    ࡁΈͷ΋ͷΛ࡞Δͷ͸؆୯ʂ

  3. Merge sort • NݸͷཁૉΛ࣋ͭ഑ྻΛιʔτ͢Δͱ͖ͷ • ൺֱͷճ਺ C (N) • C(N)

    <= C([N/2]) + C([N/2]) + N for N > 1 • C(1) = 0 • -> N log N • ഑ྻ΁ͷΞΫηε • A(N) <= A([N/2]) + A([N/2]) + 6N for N > 1 • A(1) = 0 • -> 6 N log N • memory࢖༻ྔ: N

  4. Merge sort • Improvements • ༨෼ͳ഑ྻΛ࢖Θͣʹin-place Ϛʔδ • ࠷ॳ͸insertion sort

    Λ࢖͏ (7 ݸ·Ͱ) • ͢ͰʹιʔτࡁΈͳΒ్தͰεΩοϓ

  5. • Visualize Demo • http://kumabook.github.io/playground/ index.html#merge-sort