๐Ÿ“’ CS/๐Ÿ“ Data Structure

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๐Ÿ“’ CS/๐Ÿ“ Data Structure

[Data Structure] AVL ํŠธ๋ฆฌ

AVL ํŠธ๋ฆฌ AVL ํŠธ๋ฆฌ (Adelson-Velsky and Landis tree)๋Š” ์ด์ง„ ํƒ์ƒ‰ ํŠธ๋ฆฌ๊ฐ€ ๋ฐ์ดํ„ฐ ์‚ฝ์ž… ์ˆœ์„œ๋กœ ์ธํ•ด ์„ ํ˜•์ ์ธ ํ˜•ํƒœ์˜ ํŠธ๋ฆฌ๊ฐ€ ๋˜๋Š” ๊ฒƒ์„ ๋ฐฉ์ง€ํ•˜๊ณ ์ž ์Šค์Šค๋กœ ๊ท ํ˜•์„ ์žก๋Š” ์ด์ง„ ํƒ์ƒ‰ ํŠธ๋ฆฌ๋ฅผ ๋งํ•œ๋‹ค. ๋‘ ์ž์‹ ์„œ๋ธŒ ํŠธ๋ฆฌ์˜ ๋†’์ด๋Š” ํ•ญ์ƒ ์ตœ๋Œ€ 1๋งŒํผ ์ฐจ์ด ๋‚œ๋‹ค๋Š” ํŠน์ง•์ด ์žˆ๋‹ค. (๊ท ํ˜• ์ด์ง„ ํŠธ๋ฆฌ์˜ ์ผ์ข…) ๋ฐ์ดํ„ฐ ์‚ฝ์ž…, ์‚ญ์ œ์‹œ ๊ท ํ˜•์ด ํ•ญ์ƒ ๋งž๋„๋ก ํŠธ๋ฆฌ ์ผ๋ถ€๋ฅผ ์™ผ์ชฝ ํ˜น์€ ์˜ค๋ฅธ์ชฝ์œผ๋กœ ํšŒ์ „์‹œํ‚จ๋‹ค (๋ฆฌ๋ฐธ๋Ÿฐ์‹ฑ). ๐Ÿ”น๊ฐ€์žฅ ์ฒ˜์Œ ๋‚˜์˜จ ์ž๊ฐ€ ๊ท ํ˜• ์ด์ง„ ํŠธ๋ฆฌ ๐Ÿ”นred-black tree๋ณด๋‹ค ๊ท ํ˜•์€ ํ›จ์”ฌ ์ž˜ ์žกํž˜ ๐Ÿ”นred-black tree๋ณด๋‹ค ์‚ฝ์ž…, ์‚ญ์ œ๊ฐ€ ๋Š๋ฆผ ๐Ÿ”น์„œ๋ธŒ ํŠธ๋ฆฌ ๋†’์ด ์ฐจ์ด๊ฐ€ 1๋ณด๋‹ค ์ปค์ง€๋ฉด ํšŒ์ „(๋ฆฌ๋ฐธ๋Ÿฐ์‹ฑ) ํ†ตํ•ด ์ฐจ์ด ์ค„์ž„ ๐Ÿ’กํƒ์ƒ‰, ์‚ฝ์ž…, ์‚ญ์ œ ์‹œ๊ฐ„ ๋ณต์žก๋„: O(logN) Balance Factor..

๐Ÿ“’ CS/๐Ÿ“ Data Structure

[Data Structure] ๊ทธ๋ž˜ํ”„ - ์ธ์ ‘ํ–‰๋ ฌ๊ณผ ์ธ์ ‘๋ฆฌ์ŠคํŠธ

๊ทธ๋ž˜ํ”„ (Graph) ๊ทธ๋ž˜ํ”„๋Š” ์ •์ ๊ณผ ๊ฐ„์„ ์œผ๋กœ ์ด๋ฃจ์–ด์ง„ ๋น„์„ ํ˜• ์ž๋ฃŒ ๊ตฌ์กฐ๋ฅผ ๋งํ•œ๋‹ค. ๐Ÿ”น์ •์ (V) (vertex) - ๊ทธ๋ž˜ํ”„ ๋‚ด์˜ ํ•˜๋‚˜์˜ ๊ฐœ๋ณ„์  ์š”์†Œ ๐Ÿ”น๊ฐ„์„ (E) (edge) - ์ •์ ๊ณผ ์ •์  ์‚ฌ์ด๋ฅผ ์—ฐ๊ฒฐํ•˜๋Š” ์„  (ํ๋ฆ„, ๊ด€๊ณ„ ํ‘œํ˜„) ๐Ÿ”น๊ฐ€์ค‘์น˜(W) (weight) - ๊ฐ„์„ ๊ณผ ์ •์  ์‚ฌ์ด์— ๋“œ๋Š” ๋น„์šฉ ๐Ÿ”น์ฐจ์ˆ˜ (degree) - ์ • ์ •์ ์— ์—ฐ๊ฒฐ๋œ ๊ฐ„์„ ์˜ ์ˆ˜ โ—ฝout-degree: ๋‹ค๋ฅธ ์ •์ ์œผ๋กœ ๋‚˜๊ฐ€๋Š” ๊ฐ„์„  (์ˆ˜) โ—ฝin-degree: ํŠน์ • ์ •์ ์œผ๋กœ ๋“ค์–ด์˜ค๋Š” ๊ฐ„์„  (์ˆ˜) โ—ฝ๋ฌด๋ฐฉํ–ฅ ๊ทธ๋ž˜ํ”„์—์„  ํ•˜๋‚˜์˜ ๊ฐ„์„ ์ด ๋‘ ์ •์ ์— ์ธ์ ‘ํ•˜๋ฏ€๋กœ ๊ฐ„์„  ์ˆ˜์˜ ๋‘ ๋ฐฐ ๐Ÿ’ก ๋น„์„ ํ˜• ์ž๋ฃŒ ๊ตฌ์กฐ ๋น„์„ ํ˜• ์ž๋ฃŒ ๊ตฌ์กฐ๋ž€ ์ผ๋ ฌ๋กœ ๋‚˜์—ดํ•˜์ง€ ์•Š๊ณ  ์ž๋ฃŒ ์ˆœ์„œ๋‚˜ ๊ด€๊ณ„๊ฐ€ ๋ณต์žกํ•œ ๊ตฌ์กฐ๋ฅผ ๋งํ•œ๋‹ค. ์ผ๋ฐ˜์ ์œผ๋กœ ํŠธ๋ฆฌ๋‚˜ ๊ทธ๋ž˜ํ”„๋ฅผ ๋งํ•œ๋‹ค. ๋ฐฉํ–ฅ ๊ทธ๋ž˜ํ”„(Diredted Gr..

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'๐Ÿ“’ CS/๐Ÿ“ Data Structure' ์นดํ…Œ๊ณ ๋ฆฌ์˜ ๊ธ€ ๋ชฉ๋ก