๋ณธ๋ฌธ ๋ฐ”๋กœ๊ฐ€๊ธฐ

Algorithm3

[Java] Graph (Adjacency Matrix, Adjacency List) ์ •์ (Vertex)๊ณผ ๊ฐ„์„ (Edge)๋กœ ๊ตฌ์„ฑ๋œ ๊ฒƒ, Graph(G) = (Vertex(V), Edge(E)) Graph ์šฉ์–ด ์ •์ (Vertex) - ๋…ธ๋“œ, ํŠน์ •ํ•  ์ˆ˜ ์žˆ๋Š” ์‹ค์ฒด๊ฐ„์„ (Edge) - ์ •์  ๊ฐ„ ์ด์–ด์ ธ ์žˆ๋Š” ์„ ๊ฐ€์ค‘์น˜(Weight) - ์ •์  ๊ฐ„์— ๊ฑฐ๋ฆฌ, ๋น„์šฉ (๊ฐ„์„ ์˜ ๊ธธ์ด๋ผ๊ณ  ์ƒ๊ฐํ•ด๋„ ์ข‹์Œ)๊ฒฝ๋กœ(Path) - ์ถœ๋ฐœ ์ •์ ์—์„œ ๋„์ฐฉ ์ •์ ๊นŒ์ง€์˜ ๊ฑฐ์ณ ๊ฐ„ ์ˆœ์„œ์ˆœํ™˜(Cycle) - ๊ฒฝ๋กœ์˜ ์ถœ๋ฐœ ์ •์ ๊ณผ ๋„์ฐฉ ์ •์ ์ด ๊ฐ™์€ ๊ฒฝ์šฐ์ฐจ์ˆ˜(Degree) - ์ •์ ์— ๋ถ™์€ ๊ฐ„์„  ์ˆ˜์ง„์ž… ์ฐจ์ˆ˜(In-Degree) - ์ •์ ์œผ๋กœ ๋“ค์–ด์˜ค๋Š” ๊ฐ„์„  ์ˆ˜์ง„์ถœ ์ฐจ์ˆ˜(Out-Degree) - ์ •์ ์—์„œ ๋‚˜๊ฐ€๋Š” ๊ฐ„์„  ์ˆ˜Graph ์ข…๋ฅ˜ ์œ ํ–ฅ ๊ทธ๋ž˜ํ”„(Directed Graph) - ํŠน์ • ์ •์ ์—์„œ ํŠน์ • ์ •์ ์œผ๋กœ ์ด๋™ํ•˜๋Š” ๊ทธ๋ž˜ํ”„๋ฌดํ–ฅ ๊ทธ๋ž˜ํ”„(UnDire.. 2024. 7. 9.
๋ฐฑ์ค€ - [BOJ 22856] ํŠธ๋ฆฌ ์ˆœํšŒ ๋ฌธ์ œ๋…ธ๋“œ๊ฐ€ N๊ฐœ์ธ ์ด์ง„ ํŠธ๋ฆฌ๊ฐ€ ์žˆ๋‹ค. ํŠธ๋ฆฌ๋ฅผ ์ค‘์œ„ ์ˆœํšŒ์™€ ์œ ์‚ฌํ•˜๊ฒŒ ์ˆœํšŒํ•˜๋ ค๊ณ  ํ•œ๋‹ค. ์ด๋ฅผ ์œ ์‚ฌ ์ค‘์œ„ ์ˆœํšŒ๋ผ๊ณ  ํ•˜์ž.์ˆœํšŒ์˜ ์‹œ์ž‘์€ ํŠธ๋ฆฌ์˜ ๋ฃจํŠธ์ด๊ณ  ์ˆœํšŒ์˜ ๋์€ ์ค‘์œ„ ์ˆœํšŒํ•  ๋•Œ ๋งˆ์ง€๋ง‰ ๋…ธ๋“œ์ด๋‹ค. ์ด๋•Œ ๋ฃจํŠธ ๋…ธ๋“œ๋Š” ํ•ญ์ƒ 1๋ฒˆ ๋…ธ๋“œ์ด๋‹ค.์œ ์‚ฌ ์ค‘์œ„ ์ˆœํšŒ๋Š” ๋ฃจํŠธ ๋…ธ๋“œ์—์„œ ์‹œ์ž‘ํ•˜๋ฉฐ, ๋‹ค์Œ๊ณผ ๊ฐ™์ด ์ง„ํ–‰๋œ๋‹ค.ํ˜„์žฌ ์œ„์น˜ํ•œ ๋…ธ๋“œ์˜ ์™ผ์ชฝ ์ž์‹ ๋…ธ๋“œ๊ฐ€ ์กด์žฌํ•˜๊ณ  ์•„์ง ๋ฐฉ๋ฌธํ•˜์ง€ ์•Š์•˜๋‹ค๋ฉด, ์™ผ์ชฝ ์ž์‹ ๋…ธ๋“œ๋กœ ์ด๋™ํ•œ๋‹ค.๊ทธ๋ ‡์ง€ ์•Š๊ณ  ํ˜„์žฌ ์œ„์น˜ํ•œ ๋…ธ๋“œ์˜ ์˜ค๋ฅธ์ชฝ ์ž์‹ ๋…ธ๋“œ๊ฐ€ ์กด์žฌํ•˜๊ณ  ์•„์ง ๋ฐฉ๋ฌธํ•˜์ง€ ์•Š์•˜๋‹ค๋ฉด, ์˜ค๋ฅธ์ชฝ ์ž์‹ ๋…ธ๋“œ๋กœ ์ด๋™ํ•œ๋‹ค.๊ทธ๋ ‡์ง€ ์•Š๊ณ  ํ˜„์žฌ ๋…ธ๋“œ๊ฐ€ ์œ ์‚ฌ ์ค‘์œ„ ์ˆœํšŒ์˜ ๋์ด๋ผ๋ฉด, ์œ ์‚ฌ ์ค‘์œ„ ์ˆœํšŒ๋ฅผ ์ข…๋ฃŒํ•œ๋‹ค.๊ทธ๋ ‡์ง€ ์•Š๊ณ  ๋ถ€๋ชจ ๋…ธ๋“œ๊ฐ€ ์กด์žฌํ•œ๋‹ค๋ฉด, ๋ถ€๋ชจ ๋…ธ๋“œ๋กœ ์ด๋™ํ•œ๋‹ค.์œ ์‚ฌ ์ค‘์œ„ ์ˆœํšŒ๋ฅผ ์ข…๋ฃŒํ•  ๋•Œ๊นŒ์ง€ 1 ~ 4๋ฅผ ๋ฐ˜๋ณตํ•œ๋‹ค.์œ„ ๊ทธ๋ฆผ์— ์žˆ.. 2024. 7. 8.
[์ตœ๋‹จ๊ฒฝ๋กœ] Bellman-Ford Algorithm ์ตœ๋‹จ๊ฒฝ๋กœ ์•Œ๊ณ ๋ฆฌ์ฆ˜package com.study.datastructrue.mst;import java.util.ArrayList;import java.util.Arrays;class Pair { T node; V cost; public Pair(T node, V cost) { this.node = node; this.cost = cost; }}public class BellmanFord { static long[] dist = new long[6]; public static void main(String[] args) { // ์ง‘ 1, ํ•™๊ต 2, ๋ฐ•๋ฌผ๊ด€ 3, ์˜ํ™”๊ด€ 4, ๋งˆํŠธ 5 ArrayList>> graph = inpu.. 2024. 7. 6.