"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", mn: "mn", mo: "mo", mrow: "mrow", msup: "msup", 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/16236", children: "문제 링크" }) }), "\n", _jsx(_components.h2, { children: "문제" }), "\n", _jsx(_components.p, { children: "N×N 크기의 공간에 물고기 M마리와 아기 상어 1마리가 있다. 공간은 1×1 크기의 정사각형 칸으로 나누어져 있다. 한 칸에는 물고기가 최대 1마리 존재한다." }), "\n", _jsx(_components.p, { children: "아기 상어와 물고기는 모두 크기를 가지고 있고, 이 크기는 자연수이다. 가장 처음에 아기 상어의 크기는 2이고, 아기 상어는 1초에 상하좌우로 인접한 한 칸씩 이동한다." }), "\n", _jsx(_components.p, { children: "아기 상어는 자신의 크기보다 큰 물고기가 있는 칸은 지나갈 수 없고, 나머지 칸은 모두 지나갈 수 있다. 아기 상어는 자신의 크기보다 작은 물고기만 먹을 수 있다. 따라서, 크기가 같은 물고기는 먹을 수 없지만, 그 물고기가 있는 칸은 지나갈 수 있다." }), "\n", _jsx(_components.p, { children: "아기 상어가 어디로 이동할지 결정하는 방법은 아래와 같다." }), "\n", _jsxs(_components.ul, { children: ["\n", _jsxs(_components.li, { children: ["\n", _jsx(_components.p, { children: "더 이상 먹을 수 있는 물고기가 공간에 없다면 아기 상어는 엄마 상어에게 도움을 요청한다." }), "\n"] }), "\n", _jsxs(_components.li, { children: ["\n", _jsx(_components.p, { children: "먹을 수 있는 물고기가 1마리라면, 그 물고기를 먹으러 간다." }), "\n"] }), "\n", _jsxs(_components.li, { children: ["\n", _jsx(_components.p, { children: "먹을 수 있는 물고기가 1마리보다 많다면, 거리가 가장 가까운 물고기를 먹으러 간다." }), "\n"] }), "\n", _jsxs(_components.li, { children: ["\n", _jsx(_components.p, { children: "거리는 아기 상어가 있는 칸에서 물고기가 있는 칸으로 이동할 때, 지나야하는 칸의 개수의 최솟값이다." }), "\n"] }), "\n", _jsxs(_components.li, { children: ["\n", _jsx(_components.p, { children: "거리가 가까운 물고기가 많다면, 가장 위에 있는 물고기, 그러한 물고기가 여러마리라면, 가장 왼쪽에 있는 물고기를 먹는다." }), "\n"] }), "\n"] }), "\n", _jsx(_components.p, { children: "아기 상어의 이동은 1초 걸리고, 물고기를 먹는데 걸리는 시간은 없다고 가정한다. 즉, 아기 상어가 먹을 수 있는 물고기가 있는 칸으로 이동했다면, 이동과 동시에 물고기를 먹는다. 물고기를 먹으면, 그 칸은 빈 칸이 된다." }), "\n", _jsx(_components.p, { children: "아기 상어는 자신의 크기와 같은 수의 물고기를 먹을 때 마다 크기가 1 증가한다. 예를 들어, 크기가 2인 아기 상어는 물고기를 2마리 먹으면 크기가 3이 된다." }), "\n", _jsx(_components.p, { children: "공간의 상태가 주어졌을 때, 아기 상어가 몇 초 동안 엄마 상어에게 도움을 요청하지 않고 물고기를 잡아먹을 수 있는지 구하는 프로그램을 작성하시오." }), "\n", _jsx(_components.h2, { children: "입력" }), "\n", _jsx(_components.p, { children: "첫째 줄에 공간의 크기 N(2 ≤ N ≤ 20)이 주어진다." }), "\n", _jsx(_components.p, { children: "둘째 줄부터 N개의 줄에 공간의 상태가 주어진다. 공간의 상태는 0, 1, 2, 3, 4, 5, 6, 9로 이루어져 있고, 아래와 같은 의미를 가진다." }), "\n", _jsxs(_components.ul, { children: ["\n", _jsx(_components.li, { children: "0: 빈 칸" }), "\n", _jsx(_components.li, { children: "1, 2, 3, 4, 5, 6: 칸에 있는 물고기의 크기" }), "\n", _jsx(_components.li, { children: "9: 아기 상어의 위치" }), "\n"] }), "\n", _jsx(_components.p, { children: "아기 상어는 공간에 한 마리 있다." }), "\n", _jsx(_components.h2, { children: "출력" }), "\n", _jsx(_components.p, { children: "첫째 줄에 아기 상어가 엄마 상어에게 도움을 요청하지 않고 물고기를 잡아먹을 수 있는 시간을 출력한다." }), "\n", _jsx(_components.h2, { children: "풀이" }), "\n", _jsx(_components.p, { children: "매 순간 먹을 수 있는 물고기 중 가장 가까운 것, 거리가 같다면 가장 위쪽과 왼쪽을 골라야 한다. 그래서 현재 상어 위치에서 BFS를 돌려 먹을 수 있는 물고기 후보를 찾고, 우선순위 규칙으로 하나를 선택하는 과정을 반복하면 된다." }), "\n", _jsx(_components.p, { children: "물고기를 하나 먹을 때마다 상어 위치와 시간, 먹은 수를 갱신하고, 상어 크기만큼 먹으면 크기가 증가한다. 이후 다시 같은 과정을 반복하다 더 이상 먹을 수 있는 물고기가 없으면 종료한다." }), "\n", _jsx(_components.p, { children: "한 번의 BFS가 아니라 먹고 이동한 뒤 다시 BFS를 반복하는 시뮬레이션이다." }), "\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": "java", "data-theme": "nord", children: _jsxs(_components.code, { "data-language": "java", "data-theme": "nord", style: { display: 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{ children: "4" })] }), _jsx(_components.mo, { stretchy: "false", children: ")" })] }), _jsx(_components.annotation, { encoding: "application/x-tex", children: "O(N^4)" })] }) }) }), _jsx(_components.span, { className: "katex-html", "aria-hidden": "true", children: _jsxs(_components.span, { className: "base", children: [_jsx(_components.span, { className: "strut", style: { height: "1.0641em", verticalAlign: "-0.25em" } }), _jsx(_components.span, { className: "mord mathnormal", style: { marginRight: "0.0278em" }, children: "O" }), _jsx(_components.span, { className: "mopen", children: "(" }), _jsxs(_components.span, { className: "mord", children: [_jsx(_components.span, { className: "mord mathnormal", style: { marginRight: "0.109em" }, children: "N" }), _jsx(_components.span, { className: "msupsub", children: _jsx(_components.span, { className: "vlist-t", children: _jsx(_components.span, { className: "vlist-r", children: _jsx(_components.span, { className: "vlist", style: { height: "0.8141em" }, children: _jsxs(_components.span, { style: { top: "-3.063em", marginRight: "0.05em" }, children: [_jsx(_components.span, { className: "pstrut", style: { height: "2.7em" } }), _jsx(_components.span, { className: "sizing reset-size6 size3 mtight", children: _jsx(_components.span, { className: "mord mtight", children: "4" }) })] }) }) }) }) })] }), _jsx(_components.span, { className: "mclose", children: ")" })] }) })] }), "이다."] }), "\n", _jsxs(_components.li, { children: ["공간 복잡도: 격자와 방문 배열, 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: "(" }), _jsxs(_components.msup, { children: [_jsx(_components.mi, { children: "N" }), _jsx(_components.mn, { children: "2" })] }), _jsx(_components.mo, { stretchy: "false", children: ")" })] }), _jsx(_components.annotation, { encoding: "application/x-tex", children: "O(N^2)" })] }) }) }), _jsx(_components.span, { className: "katex-html", "aria-hidden": "true", children: _jsxs(_components.span, { className: "base", children: [_jsx(_components.span, { className: "strut", style: { height: "1.0641em", verticalAlign: "-0.25em" } }), _jsx(_components.span, { className: "mord mathnormal", style: { marginRight: "0.0278em" }, children: "O" }), _jsx(_components.span, { className: "mopen", children: "(" }), _jsxs(_components.span, { className: "mord", children: [_jsx(_components.span, { className: "mord mathnormal", style: { marginRight: "0.109em" }, children: "N" }), _jsx(_components.span, { className: "msupsub", children: _jsx(_components.span, { className: "vlist-t", children: _jsx(_components.span, { className: "vlist-r", children: _jsx(_components.span, { className: "vlist", style: { height: "0.8141em" }, children: _jsxs(_components.span, { style: { top: "-3.063em", marginRight: "0.05em" }, children: [_jsx(_components.span, { className: "pstrut", style: { height: "2.7em" } }), _jsx(_components.span, { className: "sizing reset-size6 size3 mtight", children: _jsx(_components.span, { className: "mord mtight", children: "2" }) })] }) }) }) }) })] }), _jsx(_components.span, { className: "mclose", children: ")" })] }) })] }), "이다."] }), "\n"] }), "\n", _jsx(_components.h2, { children: "마무리" }), "\n", _jsx(_components.p, { children: "아기 상어 문제는 BFS 하나로 끝나지 않는다. 현재 상태에서 가장 좋은 먹이를 찾는 BFS를 계속 다시 돌리는 시뮬레이션이라고 보는 편이 맞다." }), "\n", _jsx(_components.p, { children: _jsx(_components.img, { src: "/generated/posts/algorithm/boj-16236/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 16236 - 아기 상어