"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/14442", children: "문제 링크" }) }), "\n", _jsx(_components.h2, { children: "문제" }), "\n", _jsx(_components.p, { children: "N×M의 행렬로 표현되는 맵이 있다. 맵에서 0은 이동할 수 있는 곳을 나타내고, 1은 이동할 수 없는 벽이 있는 곳을 나타낸다. 당신은 (1, 1)에서 (N, M)의 위치까지 이동하려 하는데, 이때 최단 경로로 이동하려 한다. 최단경로는 맵에서 가장 적은 개수의 칸을 지나는 경로를 말하는데, 이때 시작하는 칸과 끝나는 칸도 포함해서 센다." }), "\n", _jsx(_components.p, { children: "만약에 이동하는 도중에 벽을 부수고 이동하는 것이 좀 더 경로가 짧아진다면, 벽을 K개 까지 부수고 이동하여도 된다." }), "\n", _jsx(_components.p, { children: "한 칸에서 이동할 수 있는 칸은 상하좌우로 인접한 칸이다." }), "\n", _jsx(_components.p, { children: "맵이 주어졌을 때, 최단 경로를 구해 내는 프로그램을 작성하시오." }), "\n", _jsx(_components.h2, { children: "입력" }), "\n", _jsx(_components.p, { children: "첫째 줄에 N(1 ≤ N ≤ 1,000), M(1 ≤ M ≤ 1,000), K(1 ≤ K ≤ 10)이 주어진다. 다음 N개의 줄에 M개의 숫자로 맵이 주어진다. (1, 1)과 (N, M)은 항상 0이라고 가정하자." }), "\n", _jsx(_components.h2, { children: "출력" }), "\n", _jsx(_components.p, { children: "첫째 줄에 최단 거리를 출력한다. 불가능할 때는 -1을 출력한다." }), "\n", _jsx(_components.h2, { children: "풀이" }), "\n", _jsx(_components.p, { children: "같은 칸에 도착해도 지금까지 몇 번 벽을 부쉈는지에 따라 이후 가능 여부가 달라진다. 그래서 상태를 (x, y, broken)처럼 두고 BFS를 해야 한다." }), "\n", _jsx(_components.p, { children: "빈 칸으로 이동할 때는 broken 값이 유지되고, 벽을 만났을 때 아직 부술 수 있는 횟수가 남아 있으면 broken + 1 상태로 이동한다. 각 상태를 처음 방문한 순간이 그 상태의 최단 거리이므로 BFS와 잘 맞는다." }), "\n", _jsx(_components.p, { children: "단순 격자 BFS가 아니라 벽을 몇 번 부쉈는가라는 자원을 함께 들고 가는 상태 그래프 문제다." }), "\n", _jsx(_components.h2, { children: "코드" }), "\n", _jsx(_components.figure, { "data-rehype-pretty-code-figure": "", children: _jsx(_components.pre, { style: { backgroundColor: "#2e3440ff", color: "#d8dee9ff" }, tabIndex: "0", "data-language": "cpp", "data-theme": "nord", children: _jsxs(_components.code, { "data-language": "cpp", "data-theme": "nord", style: { display: "grid" }, 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_jsx(_components.span, { "data-line": "", children: _jsx(_components.span, { style: { color: "#ECEFF4" }, children: "\t\t}" }) }), "\n", _jsx(_components.span, { "data-line": "", children: _jsx(_components.span, { style: { color: "#ECEFF4" }, children: "\t}" }) }), "\n", _jsx(_components.span, { "data-line": "", children: " " }), "\n", _jsxs(_components.span, { "data-line": "", children: [_jsx(_components.span, { style: { color: "#D8DEE9FF" }, children: "\tcout " }), _jsx(_components.span, { style: { color: "#81A1C1" }, children: "<<" }), _jsx(_components.span, { style: { color: "#88C0D0" }, children: " solve" }), _jsx(_components.span, { style: { color: "#ECEFF4" }, children: "()" }), _jsx(_components.span, { style: { color: "#81A1C1" }, children: " <<" }), _jsx(_components.span, { style: { color: "#ECEFF4" }, children: " '" }), _jsx(_components.span, { style: { color: "#EBCB8B" }, children: "\\n" }), _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: "#ECEFF4" }, children: "}" }) })] }) }) }), "\n", _jsx(_components.h2, { children: "복잡도" }), "\n", _jsxs(_components.ul, { children: ["\n", _jsxs(_components.li, { children: ["시간 복잡도: 상태 수 기준 ", _jsx(_components.code, { children: "O(NM * K)" })] }), "\n", _jsxs(_components.li, { children: ["공간 복잡도: 방문 배열 기준 ", _jsx(_components.code, { children: "O(NM * K)" })] }), "\n"] }), "\n", _jsx(_components.h2, { children: "마무리" }), "\n", _jsx(_components.p, { children: "벽을 부술 수 있는 횟수가 좌표와 함께 상태를 만든다. 같은 칸이라도 남은 기회가 다르면 완전히 다른 상태라는 점이 핵심이다." }), "\n", _jsx(_components.p, { children: _jsx(_components.img, { src: "/generated/posts/algorithm/boj-14442/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 14442 - 벽 부수고 이동하기 2