"use strict"; const {Fragment: _Fragment, jsx: _jsx, jsxs: _jsxs} = arguments[0]; const {useMDXComponents: _provideComponents} = arguments[0]; function _createMdxContent(props) { const _components = { a: "a", code: "code", figure: "figure", h2: "h2", img: "img", li: "li", p: "p", pre: "pre", span: "span", ul: "ul", ..._provideComponents(), ...props.components }; return _jsxs(_Fragment, { children: [_jsx(_components.p, { children: _jsx(_components.a, { href: "https://www.acmicpc.net/problem/1238", children: "문제 링크" }) }), "\n", _jsx(_components.h2, { children: "문제" }), "\n", _jsx(_components.p, { children: "N개의 숫자로 구분된 각각의 마을에 한 명의 학생이 살고 있다." }), "\n", _jsx(_components.p, { children: "어느 날 이 N명의 학생이 X (1 ≤ X ≤ N)번 마을에 모여서 파티를 벌이기로 했다. 이 마을 사이에는 총 M개의 단방향 도로들이 있고 i번째 길을 지나는데 Ti(1 ≤ Ti ≤ 100)의 시간을 소비한다." }), "\n", _jsx(_components.p, { children: "각각의 학생들은 파티에 참석하기 위해 걸어가서 다시 그들의 마을로 돌아와야 한다. 하지만 이 학생들은 워낙 게을러서 최단 시간에 오고 가기를 원한다." }), "\n", _jsx(_components.p, { children: "이 도로들은 단방향이기 때문에 아마 그들이 오고 가는 길이 다를지도 모른다. N명의 학생들 중 오고 가는데 가장 많은 시간을 소비하는 학생은 누구일지 구하여라." }), "\n", _jsx(_components.h2, { children: "입력" }), "\n", _jsx(_components.p, { children: "첫째 줄에 N(1 ≤ N ≤ 1,000), M(1 ≤ M ≤ 10,000), X가 공백으로 구분되어 입력된다. 두 번째 줄부터 M+1번째 줄까지 i번째 도로의 시작점, 끝점, 그리고 이 도로를 지나는데 필요한 소요시간 Ti가 들어온다. 시작점과 끝점이 같은 도로는 없으며, 시작점과 한 도시 A에서 다른 도시 B로 가는 도로의 개수는 최대 1개이다." }), "\n", _jsx(_components.p, { children: "모든 학생들은 집에서 X에 갈수 있고, X에서 집으로 돌아올 수 있는 데이터만 입력으로 주어진다." }), "\n", _jsx(_components.h2, { children: "출력" }), "\n", _jsx(_components.p, { children: "첫 번째 줄에 N명의 학생들 중 오고 가는데 가장 오래 걸리는 학생의 소요시간을 출력한다." }), "\n", _jsx(_components.h2, { children: "풀이" }), "\n", _jsxs(_components.p, { children: ["각 학생의 왕복 시간은 ", _jsx(_components.code, { children: "집 -> X" }), " 최단 거리와 ", _jsx(_components.code, { children: "X -> 집" }), " 최단 거리의 합이다. 이를 학생마다 따로 다익스트라로 구하면 비효율적이므로, 그래프를 정방향과 역방향으로 나눠 두 번만 다익스트라를 돌리면 된다."] }), "\n", _jsxs(_components.p, { children: ["코드에서는 ", _jsx(_components.code, { children: "vec[0]" }), "에 원래 방향 그래프를 저장해 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_jsxs(_components.span, { "data-line": "", children: [_jsx(_components.span, { style: { color: "#D8DEE9" }, children: "\tcout" }), _jsx(_components.span, { style: { color: "#ECEFF4" }, children: "." }), _jsx(_components.span, { style: { color: "#88C0D0" }, children: "tie" }), _jsx(_components.span, { style: { color: "#ECEFF4" }, children: "(" }), _jsx(_components.span, { style: { color: "#81A1C1" }, children: "NULL" }), _jsx(_components.span, { style: { color: "#ECEFF4" }, children: ")" }), _jsx(_components.span, { style: { color: "#81A1C1" }, children: ";" })] }), "\n", _jsx(_components.span, { "data-line": "", children: _jsx(_components.span, { style: { color: "#D8DEE9FF" }, children: " " }) }), "\n", _jsxs(_components.span, { "data-line": "", children: [_jsx(_components.span, { style: { color: "#88C0D0" }, children: "\tsolve" }), _jsx(_components.span, { style: { color: "#ECEFF4" }, children: "()" }), _jsx(_components.span, { style: { color: "#81A1C1" }, children: ";" })] }), "\n", _jsx(_components.span, { "data-line": "", children: " " }), "\n", _jsxs(_components.span, { "data-line": "", children: [_jsx(_components.span, { style: { color: "#81A1C1" }, children: " return" }), _jsx(_components.span, { style: { color: "#B48EAD" }, children: " 0" }), _jsx(_components.span, { style: { color: "#81A1C1" }, children: ";" })] }), "\n", _jsx(_components.span, { "data-line": "", children: _jsx(_components.span, { style: { color: "#ECEFF4" }, children: "}" }) })] }) }) }), "\n", _jsx(_components.h2, { children: "복잡도" }), "\n", _jsxs(_components.ul, { children: ["\n", _jsxs(_components.li, { children: ["시간 복잡도: 두 번의 다익스트라로 ", _jsx(_components.code, { children: "O((N + M) log N)" })] }), "\n", _jsxs(_components.li, { children: ["공간 복잡도: ", _jsx(_components.code, { children: "O(N + M)" })] }), "\n"] }), "\n", _jsx(_components.h2, { children: "마무리" }), "\n", _jsx(_components.p, { children: "왕복 최단 거리 문제는 정방향과 역방향 그래프를 같이 보면 훨씬 쉬워진다. 다익스트라를 두 번만 돌려도 모든 학생의 왕복 시간을 한꺼번에 계산할 수 있다." }), "\n", _jsx(_components.p, { children: _jsx(_components.img, { src: "/generated/posts/algorithm/boj-1238/assets/1.png", alt: "" }) })] }); } function MDXContent(props = {}) { const {wrapper: MDXLayout} = { ..._provideComponents(), ...props.components }; return MDXLayout ? _jsx(MDXLayout, { ...props, children: _jsx(_createMdxContent, { ...props }) }) : _createMdxContent(props); } return { default: MDXContent };

BOJ 1238 - 파티