"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/11779", children: "문제 링크" }) }), "\n", _jsx(_components.h2, { children: "문제" }), "\n", _jsx(_components.p, { children: "n(1≤n≤1,000)개의 도시가 있다. 그리고 한 도시에서 출발하여 다른 도시에 도착하는 m(1≤m≤100,000)개의 버스가 있다. 우리는 A번째 도시에서 B번째 도시까지 가는데 드는 버스 비용을 최소화 시키려고 한다. 그러면 A번째 도시에서 B번째 도시 까지 가는데 드는 최소비용과 경로를 출력하여라. 항상 시작점에서 도착점으로의 경로가 존재한다." }), "\n", _jsx(_components.h2, { children: "입력" }), "\n", _jsx(_components.p, { children: "첫째 줄에 도시의 개수 n(1≤n≤1,000)이 주어지고 둘째 줄에는 버스의 개수 m(1≤m≤100,000)이 주어진다. 그리고 셋째 줄부터 m+2줄까지 다음과 같은 버스의 정보가 주어진다. 먼저 처음에는 그 버스의 출발 도시의 번호가 주어진다. 그리고 그 다음에는 도착지의 도시 번호가 주어지고 또 그 버스 비용이 주어진다. 버스 비용은 0보다 크거나 같고, 100,000보다 작은 정수이다." }), "\n", _jsx(_components.p, { children: "그리고 m+3째 줄에는 우리가 구하고자 하는 구간 출발점의 도시번호와 도착점의 도시번호가 주어진다." }), "\n", _jsx(_components.h2, { children: "출력" }), "\n", _jsx(_components.p, { children: "첫째 줄에 출발 도시에서 도착 도시까지 가는데 드는 최소 비용을 출력한다." }), "\n", _jsx(_components.p, { children: "둘째 줄에는 그러한 최소 비용을 갖는 경로에 포함되어있는 도시의 개수를 출력한다. 출발 도시와 도착 도시도 포함한다." }), "\n", _jsx(_components.p, { children: "셋째 줄에는 최소 비용을 갖는 경로를 방문하는 도시 순서대로 출력한다. 경로가 여러가지인 경우 아무거나 하나 출력한다." }), "\n", _jsx(_components.h2, { children: "풀이" }), "\n", _jsx(_components.p, { children: "최소 비용 자체는 다익스트라로 구할 수 있지만, 이 문제는 실제 경로도 함께 출력해야 한다. 그래서 거리 갱신이 일어날 때 어떤 정점을 통해 왔는지 부모 정보도 같이 저장해야 한다." }), "\n", _jsx(_components.p, { children: "코드에서는 dist가 더 좋아질 때마다 parent를 기록한다. 최단 거리 계산이 끝난 뒤에는 도착점에서 시작점까지 부모를 따라 거꾸로 올라가면 경로를 복원할 수 있다." }), "\n", _jsx(_components.p, { children: "즉 최단 거리 문제에 역추적 하나가 더 붙은 형태다." }), "\n", 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_jsx(_components.span, { "data-line": "", children: _jsx(_components.span, { style: { color: "#ECEFF4" }, children: " }" }) }), "\n", _jsx(_components.span, { "data-line": "", children: _jsx(_components.span, { style: { color: "#ECEFF4" }, children: " }" }) }), "\n", _jsx(_components.span, { "data-line": "", 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: ", _jsx(_components.code, { children: "O((V + E) log V)" })] }), "\n", _jsxs(_components.li, { children: ["공간 복잡도: ", _jsx(_components.code, { children: "O(V + E)" })] }), "\n"] }), "\n", _jsx(_components.h2, { children: "마무리" }), "\n", _jsx(_components.p, { children: "최단 거리만 구하는 문제와 다르게, 이번에는 어디서 왔는지도 같이 기록해야 한다. 부모 배열 하나를 더 두면 경로 복원까지 자연스럽게 이어진다." }), "\n", _jsx(_components.p, { children: _jsx(_components.img, { src: "/generated/posts/algorithm/boj-11779/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 11779 - 최소비용 구하기 2