"use strict"; const {Fragment: _Fragment, jsx: _jsx, jsxs: _jsxs} = arguments[0]; const {useMDXComponents: _provideComponents} = arguments[0]; function _createMdxContent(props) { const _components = { a: "a", annotation: "annotation", code: "code", figure: "figure", h2: "h2", img: "img", li: "li", math: "math", mi: "mi", mo: "mo", mrow: "mrow", p: "p", pre: "pre", semantics: "semantics", span: "span", ul: "ul", ..._provideComponents(), ...props.components }; return _jsxs(_Fragment, { children: [_jsx(_components.p, { children: _jsx(_components.a, { href: "https://www.acmicpc.net/problem/6087", children: "문제 링크" }) }), "\n", _jsx(_components.h2, { children: "문제" }), "\n", _jsx(_components.p, { children: "크기가 1x1인 정사각형으로 나누어진 WxH 크기의 지도가 있다. 지도의 각 칸은 빈 칸이거나 벽이며, 두 칸은 'C'로 표시되어 있는 칸이다." }), "\n", _jsx(_components.p, { children: "'C'로 표시되어 있는 두 칸을 레이저로 통신하기 위해서 설치해야 하는 거울 개수의 최솟값을 구하는 프로그램을 작성하시오. 레이저로 통신한다는 것은 두 칸을 레이저로 연결할 수 있음을 의미한다." }), "\n", _jsx(_components.p, { children: "레이저는 C에서만 발사할 수 있고, 빈 칸에 거울('/', '')을 설치해서 방향을 90도 회전시킬 수 있다." }), "\n", _jsx(_components.p, { children: "아래 그림은 H = 8, W = 7인 경우이고, 빈 칸은 '.', 벽은 '*'로 나타냈다. 왼쪽은 초기 상태, 오른쪽은 최소 개수의 거울을 사용해서 두 'C'를 연결한 것이다." }), "\n", _jsx(_components.p, { children: "7 . . . . . . . 7 . . . . . . .\n6 . . . . . . C 6 . . . . . /-C\n5 . . . . . . * 5 . . . . . | *\n4 * * * * * . * 4 * * * * * | *\n3 . . . . * . . 3 . . . . * | .\n2 . . . . * . . 2 . . . . * | .\n1 . C . . * . . 1 . C . . * | .\n0 . . . . . . . 0 . -------/ .\n0 1 2 3 4 5 6 0 1 2 3 4 5 6" }), "\n", _jsx(_components.h2, { children: "입력" }), "\n", _jsx(_components.p, { children: "첫째 줄에 W와 H가 주어진다. (1 <= W, H <= 100)" }), "\n", _jsx(_components.p, { children: "둘째 줄부터 H개의 줄에 지도가 주어진다. 지도의 각 문자가 의미하는 것은 다음과 같다." }), "\n", _jsxs(_components.ul, { children: ["\n", _jsx(_components.li, { children: ".: 빈 칸" }), "\n", _jsx(_components.li, { children: "*: 벽" }), "\n", _jsx(_components.li, { children: "C: 레이저로 연결해야 하는 칸" }), "\n"] }), "\n", _jsx(_components.p, { children: "'C'는 항상 두 개이고, 레이저로 연결할 수 있는 입력만 주어진다." }), "\n", _jsx(_components.h2, { children: "출력" }), "\n", _jsx(_components.p, { children: "첫째 줄에 C를 연결하기 위해 설치해야 하는 거울 개수의 최솟값을 출력한다." }), "\n", _jsx(_components.h2, { children: "풀이" }), "\n", _jsxs(_components.p, { children: ["이 문제는 ", _jsx(_components.a, { href: "https://www.acmicpc.net/problem/2151", children: _jsx(_components.code, { children: "거울 설치" }) }), "와 거의 같은 유형이다. 핵심은 한 칸에 도착했는지만 보는 것이 아니라 어떤 방향으로 그 칸에 도착했는지도 함께 상태로 관리해야 한다는 점이다."] }), "\n", _jsxs(_components.p, { children: ["하지만 차이점은 모든 칸에서 거울 설치를 고려해야 한다는 점이다. 그래서 상태를 ", _jsx(_components.code, { children: "(x, y, direction)" }), "으로 두고 각 상태까지 도달할 때 사용한 거울 수의 최솟값을 기록해야 한다. 직진은 비용이 그대로이고 좌회전이나 우회전은 거울 하나를 설치한 것과 같으므로 비용이 1 증가한다."] }), "\n", _jsxs(_components.p, { children: ["현재 코드에서는 ", _jsx(_components.code, { children: "dist[x][y][d]" }), "에 해당 방향으로 그 칸에 도착했을 때의 최소 거울 수를 저장하고 ", _jsx(_components.code, { children: "queue" }), "를 사용해 상태를 전파한다. 현재 방향으로 한 칸 전진한 뒤, 그대로 가는 경우는 비용 증가 없이 넣고 좌우로 꺾는 경우는 비용을 1 늘려서 함께 갱신한다."] }), "\n", _jsxs(_components.p, { children: ["참고로 ", _jsx(_components.code, { children: "PriorityQueue" }), "를 사용해서도 제출해볼 수 있지만 오히려 메모리를 더 먹을 수 있다. 이 문제에서는 방향별 최소 거울 개수만 잘 관리하면 일반 큐 기반 전개로도 충분했고, 핵심은 “모든 칸에서 꺾을 수 있다”는 점을 상태 전이로 빠짐없이 반영하는 것이다."] }), "\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", 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_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: ", _jsxs(_components.span, { className: "katex", children: [_jsx(_components.span, { className: "katex-mathml", children: _jsx(_components.math, { xmlns: "http://www.w3.org/1998/Math/MathML", children: _jsxs(_components.semantics, { children: [_jsxs(_components.mrow, { children: [_jsx(_components.mi, { children: "O" }), _jsx(_components.mo, { stretchy: "false", children: "(" }), _jsx(_components.mi, { children: "H" }), _jsx(_components.mi, { children: "W" }), _jsx(_components.mo, { stretchy: "false", children: ")" })] }), _jsx(_components.annotation, { encoding: "application/x-tex", children: "O(HW)" })] }) }) }), _jsx(_components.span, { className: "katex-html", "aria-hidden": "true", children: _jsxs(_components.span, { className: "base", children: [_jsx(_components.span, { className: "strut", style: { height: "1em", verticalAlign: "-0.25em" } }), _jsx(_components.span, { className: "mord mathnormal", style: { marginRight: "0.0278em" }, children: "O" }), _jsx(_components.span, { className: "mopen", children: "(" }), _jsx(_components.span, { className: "mord mathnormal", style: { marginRight: "0.0813em" }, children: "H" }), _jsx(_components.span, { className: "mord mathnormal", style: { marginRight: "0.1389em" }, children: "W" }), _jsx(_components.span, { className: "mclose", children: ")" })] }) })] })] }), "\n", _jsxs(_components.li, { children: ["공간 복잡도: ", _jsxs(_components.span, { className: "katex", children: [_jsx(_components.span, { className: "katex-mathml", children: _jsx(_components.math, { xmlns: "http://www.w3.org/1998/Math/MathML", children: _jsxs(_components.semantics, { children: [_jsxs(_components.mrow, { children: [_jsx(_components.mi, { children: "O" }), _jsx(_components.mo, { stretchy: "false", children: "(" }), _jsx(_components.mi, { children: "H" }), _jsx(_components.mi, { children: "W" }), _jsx(_components.mo, { stretchy: "false", children: ")" })] }), _jsx(_components.annotation, { encoding: "application/x-tex", children: "O(HW)" })] }) }) }), _jsx(_components.span, { className: "katex-html", "aria-hidden": "true", children: _jsxs(_components.span, { className: "base", children: [_jsx(_components.span, { className: "strut", style: { height: "1em", verticalAlign: "-0.25em" } }), _jsx(_components.span, { className: "mord mathnormal", style: { marginRight: "0.0278em" }, children: "O" }), _jsx(_components.span, { className: "mopen", children: "(" }), _jsx(_components.span, { className: "mord mathnormal", style: { marginRight: "0.0813em" }, children: "H" }), _jsx(_components.span, { className: "mord mathnormal", style: { marginRight: "0.1389em" }, children: "W" }), _jsx(_components.span, { className: "mclose", children: ")" })] }) })] })] }), "\n"] }), "\n", _jsx(_components.h2, { children: "마무리" }), "\n", _jsxs(_components.p, { children: ["겉보기에는 단순한 BFS처럼 보여도 실제로는 방향 상태를 함께 갖고 가야 하는 문제다. ", _jsx(_components.code, { children: "거울 설치" }), "와 같은 감각으로 접근하되 모든 칸에서 꺾는 선택지를 열어두고 비용을 갱신한다는 점만 정확히 잡으면 된다."] }), "\n", _jsx(_components.p, { children: _jsx(_components.img, { src: "/generated/posts/algorithm/boj-6087/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 6087 - 레이저 통신