"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/7569", children: "문제 링크" }) }), "\n", _jsx(_components.h2, { children: "문제" }), "\n", _jsx(_components.p, { children: "철수의 토마토 농장에서는 토마토를 보관하는 큰 창고를 가지고 있다. 토마토는 아래의 그림과 같이 격자모양 상자의 칸에 하나씩 넣은 다음, 상자들을 수직으로 쌓아 올려서 창고에 보관한다." }), "\n", _jsx(_components.p, { children: _jsx(_components.img, { src: "/generated/posts/algorithm/boj-7569/assets/img1.png", alt: "" }) }), "\n", _jsx(_components.p, { children: "창고에 보관되는 토마토들 중에는 잘 익은 것도 있지만, 아직 익지 않은 토마토들도 있을 수 있다. 보관 후 하루가 지나면, 익은 토마토들의 인접한 곳에 있는 익지 않은 토마토들은 익은 토마토의 영향을 받아 익게 된다. 하나의 토마토에 인접한 곳은 위, 아래, 왼쪽, 오른쪽, 앞, 뒤 여섯 방향에 있는 토마토를 의미한다. 대각선 방향에 있는 토마토들에게는 영향을 주지 못하며, 토마토가 혼자 저절로 익는 경우는 없다고 가정한다. 철수는 창고에 보관된 토마토들이 며칠이 지나면 다 익게 되는지 그 최소 일수를 알고 싶어 한다." }), "\n", _jsx(_components.p, { children: "토마토를 창고에 보관하는 격자모양의 상자들의 크기와 익은 토마토들과 익지 않은 토마토들의 정보가 주어졌을 때, 며칠이 지나면 토마토들이 모두 익는지, 그 최소 일수를 구하는 프로그램을 작성하라. 단, 상자의 일부 칸에는 토마토가 들어있지 않을 수도 있다." }), "\n", _jsx(_components.h2, { children: "입력" }), "\n", _jsx(_components.p, { children: "첫 줄에는 상자의 크기를 나타내는 두 정수 M,N과 쌓아올려지는 상자의 수를 나타내는 H가 주어진다. M은 상자의 가로 칸의 수, N은 상자의 세로 칸의 수를 나타낸다. 단, 2 ≤ M ≤ 100, 2 ≤ N ≤ 100, 1 ≤ H ≤ 100 이다. 둘째 줄부터는 가장 밑의 상자부터 가장 위의 상자까지에 저장된 토마토들의 정보가 주어진다. 즉, 둘째 줄부터 N개의 줄에는 하나의 상자에 담긴 토마토의 정보가 주어진다. 각 줄에는 상자 가로줄에 들어있는 토마토들의 상태가 M개의 정수로 주어진다. 정수 1은 익은 토마토, 정수 0 은 익지 않은 토마토, 정수 -1은 토마토가 들어있지 않은 칸을 나타낸다. 이러한 N개의 줄이 H번 반복하여 주어진다." }), "\n", _jsx(_components.p, { children: "토마토가 하나 이상 있는 경우만 입력으로 주어진다." }), "\n", _jsx(_components.h2, { children: "출력" }), "\n", _jsx(_components.p, { children: "여러분은 토마토가 모두 익을 때까지 최소 며칠이 걸리는지를 계산해서 출력해야 한다. 만약, 저장될 때부터 모든 토마토가 익어있는 상태이면 0을 출력해야 하고, 토마토가 모두 익지는 못하는 상황이면 -1을 출력해야 한다." }), "\n", _jsx(_components.h2, { children: "풀이" }), "\n", _jsx(_components.p, { children: "처음부터 익은 토마토들이 동시에 주변을 익게 만들므로, 멀티 소스 BFS가 자연스럽다. 모든 익은 토마토를 큐에 넣고 한 번에 퍼뜨리면 각 칸이 익는 최소 날짜가 자동으로 계산된다." }), "\n", _jsx(_components.p, { children: "2차원 버전이든 3차원 버전이든 핵심은 같다. 인접한 칸으로 BFS를 확장하면서 아직 익지 않은 토마토를 다음 날짜 상태로 바꾸고, 마지막에 모두 익었는지 검사하면 된다." }), "\n", _jsx(_components.p, { children: "결국 이 문제는 가장 가까운 익은 토마토로부터의 거리 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" }, children: [_jsx(_components.span, { "data-line": "", children: _jsx(_components.span, { style: { color: "#616E88" }, children: "//7576번 문제와 유사" }) }), "\n", _jsxs(_components.span, { "data-line": "", children: [_jsx(_components.span, { style: { color: "#5E81AC", fontWeight: "bold" }, children: "#" }), _jsx(_components.span, { style: { color: "#81A1C1" }, children: "include" }), _jsx(_components.span, { style: { color: "#ECEFF4" }, children: " <" }), _jsx(_components.span, { style: { color: "#A3BE8C" }, children: "iostream" }), _jsx(_components.span, { style: { color: "#ECEFF4" }, children: ">" })] }), "\n", _jsxs(_components.span, { "data-line": "", children: [_jsx(_components.span, { style: { color: "#5E81AC", fontWeight: "bold" }, children: "#" }), _jsx(_components.span, { style: { color: "#81A1C1" }, children: "include" }), _jsx(_components.span, { style: { color: "#ECEFF4" }, children: " <" }), _jsx(_components.span, { style: { color: "#A3BE8C" }, children: "queue" }), _jsx(_components.span, { style: { color: "#ECEFF4" }, children: ">" })] }), "\n", _jsxs(_components.span, { "data-line": "", children: [_jsx(_components.span, { style: { color: "#81A1C1" }, children: "using" }), _jsx(_components.span, { style: { color: "#81A1C1" }, children: " namespace" }), _jsx(_components.span, { style: { color: "#D8DEE9FF" }, children: " std" }), _jsx(_components.span, { style: { color: "#81A1C1" }, children: ";" })] }), "\n", _jsx(_components.span, { "data-line": "", children: " " }), "\n", _jsx(_components.span, { "data-line": "", children: _jsx(_components.span, { style: { color: "#616E88" }, children: "//토마토가 들어가 있는 x, y, z값을 클래스로 생성" }) }), "\n", _jsxs(_components.span, { "data-line": "", children: [_jsx(_components.span, { style: { color: "#81A1C1" }, children: "class" }), _jsx(_components.span, { style: { color: "#8FBCBB" }, children: " tomato" }), _jsx(_components.span, { style: { color: "#ECEFF4" }, children: " {" })] }), "\n", _jsxs(_components.span, { "data-line": "", children: [_jsx(_components.span, { style: { color: "#81A1C1" }, children: "public" }), _jsx(_components.span, { style: { color: "#ECEFF4" }, children: ":" })] }), "\n", _jsxs(_components.span, { "data-line": "", children: [_jsx(_components.span, { style: { color: "#81A1C1" }, children: "\tint" }), _jsx(_components.span, { style: { color: "#D8DEE9FF" }, children: " x" }), _jsx(_components.span, { style: { color: "#ECEFF4" }, children: "," }), _jsx(_components.span, { style: { color: "#D8DEE9FF" }, children: " y" }), _jsx(_components.span, { style: { color: "#ECEFF4" }, children: "," }), 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}, children: ")" }), _jsx(_components.span, { style: { color: "#ECEFF4" }, children: " :" }), _jsx(_components.span, { style: { color: "#88C0D0" }, children: " x" }), _jsx(_components.span, { style: { color: "#ECEFF4" }, children: "(" }), _jsx(_components.span, { style: { color: "#D8DEE9FF" }, children: "x" }), _jsx(_components.span, { style: { color: "#ECEFF4" }, children: ")," }), _jsx(_components.span, { style: { color: "#88C0D0" }, children: " y" }), _jsx(_components.span, { style: { color: "#ECEFF4" }, children: "(" }), _jsx(_components.span, { style: { color: "#D8DEE9FF" }, children: "y" }), _jsx(_components.span, { style: { color: "#ECEFF4" }, children: ")," }), _jsx(_components.span, { style: { color: "#88C0D0" }, children: " z" }), _jsx(_components.span, { style: { color: "#ECEFF4" }, children: "(" }), _jsx(_components.span, { style: { color: "#D8DEE9FF" }, children: "z" }), _jsx(_components.span, { style: { color: "#ECEFF4" }, children: ")" }), _jsx(_components.span, { style: { color: "#ECEFF4" }, children: " {}" })] }), "\n", _jsxs(_components.span, { "data-line": "", children: [_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: "int" }), _jsx(_components.span, { style: { color: "#D8DEE9" }, children: " Box" }), _jsx(_components.span, { style: { color: "#ECEFF4" }, children: "[" }), _jsx(_components.span, { style: { color: "#B48EAD" }, children: "101" }), _jsx(_components.span, { style: { color: "#ECEFF4" }, children: "][" }), _jsx(_components.span, { style: { color: "#B48EAD" }, children: "101" }), _jsx(_components.span, { style: { color: "#ECEFF4" }, children: "][" }), _jsx(_components.span, { style: { color: "#B48EAD" }, children: "101" }), _jsx(_components.span, { style: { color: "#ECEFF4" }, children: "]" }), _jsx(_components.span, { style: { color: "#81A1C1" }, children: ";" })] }), "\n", _jsxs(_components.span, { "data-line": "", children: [_jsx(_components.span, { style: { color: "#D8DEE9FF" }, children: "queue" }), _jsx(_components.span, { style: { color: "#81A1C1" }, children: "<" }), _jsx(_components.span, { style: { color: "#D8DEE9FF" }, children: "tomato" }), _jsx(_components.span, { style: { color: "#81A1C1" }, children: ">" }), _jsx(_components.span, { style: { color: "#D8DEE9FF" }, children: " tq" }), _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: "int" }), _jsx(_components.span, { style: { color: "#D8DEE9FF" }, children: " m" }), _jsx(_components.span, { style: { color: "#ECEFF4" }, children: "," }), _jsx(_components.span, { style: { color: "#D8DEE9FF" }, children: " n" }), _jsx(_components.span, { style: { color: "#ECEFF4" }, children: "," }), _jsx(_components.span, { style: { color: "#D8DEE9FF" }, children: " h" }), _jsx(_components.span, { style: { color: "#81A1C1" }, children: ";" })] }), "\n", _jsx(_components.span, { "data-line": "", children: _jsx(_components.span, { style: { color: "#616E88" }, children: "//ripe: 현재 익은 토마토 개수, total: 토마토 전체 개수" }) }), "\n", _jsxs(_components.span, { "data-line": "", children: [_jsx(_components.span, { style: { color: "#81A1C1" }, children: "int" }), _jsx(_components.span, { style: { color: "#D8DEE9FF" }, children: " ripe" }), _jsx(_components.span, { style: { color: "#ECEFF4" }, children: "," }), _jsx(_components.span, { style: { color: "#D8DEE9FF" }, children: " total" }), _jsx(_components.span, { style: { color: "#81A1C1" }, children: ";" })] }), "\n", _jsx(_components.span, { "data-line": "", children: " " }), "\n", _jsxs(_components.span, { "data-line": "", 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children: "\t\t\t\t\ttotal" }), _jsx(_components.span, { style: { color: "#81A1C1" }, children: "--;" })] }), "\n", _jsx(_components.span, { "data-line": "", children: _jsx(_components.span, { style: { color: "#ECEFF4" }, children: "\t\t\t}" }) }), "\n", _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", _jsx(_components.span, { "data-line": "", children: _jsx(_components.span, { style: { color: "#616E88" }, children: "\t//total과 ripe가 동일하다면 이미 전부 다 익었다는 뜻" }) }), "\n", _jsxs(_components.span, { "data-line": "", children: [_jsx(_components.span, { style: { color: "#81A1C1" }, children: "\tif" }), _jsx(_components.span, { style: { color: "#ECEFF4" }, children: " (" }), _jsx(_components.span, { style: { 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"M" }), _jsx(_components.mo, { stretchy: "false", children: ")" })] }), _jsx(_components.annotation, { encoding: "application/x-tex", children: "O(HNM)" })] }) }) }), _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: "0.109em" }, children: "N" }), _jsx(_components.span, { className: "mord mathnormal", style: { marginRight: "0.109em" }, children: "M" }), _jsx(_components.span, { className: "mclose", children: ")" })] }) })] }), "이다."] }), "\n", _jsxs(_components.li, { children: ["공간 복잡도: 격자와 큐를 사용하므로 ", _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: "N" }), _jsx(_components.mi, { children: "M" }), _jsx(_components.mo, { stretchy: "false", children: ")" })] }), _jsx(_components.annotation, { encoding: "application/x-tex", children: "O(HNM)" })] }) }) }), _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: "0.109em" }, children: "N" }), _jsx(_components.span, { className: "mord mathnormal", style: { marginRight: "0.109em" }, children: "M" }), _jsx(_components.span, { className: "mclose", children: ")" })] }) })] }), "이다."] }), "\n"] }), "\n", _jsx(_components.h2, { children: "마무리" }), "\n", _jsx(_components.p, { children: "익은 토마토가 여러 개라면 시작점도 여러 개다. 멀티 소스 BFS로 보면 날짜 계산이 거리 계산처럼 깔끔해진다." }), "\n", _jsx(_components.p, { children: _jsx(_components.img, { src: "/generated/posts/algorithm/boj-7569/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 7569 - 토마토