"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", 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/4055", children: "문제 링크" }) }), "\n", _jsx(_components.h2, { children: "문제" }), "\n", _jsx(_components.p, { children: "아람이는 고등학교를 졸업하였다. 아람이네 마을에서는 학교의 모든 졸업생들이 참가할 수 있는 다양한 파티가 관습처럼 열리고 있다. 파티를 좋아하는 아람이는 최대한 많은 파티에 참가하려고 한다." }), "\n", _jsx(_components.p, { children: "평일에 열리는 파티는 저녁에만 두세개가 열리지만 토요일에는 하루종일 많은 파티들이 열린다. 어떤 파티는 아침 8시에 시작하여 자정(24시)에 끝나기도 한다. 아람이는 최대한 많은 파티에 참가하고 싶다." }), "\n", _jsx(_components.p, { children: "각각의 파티는 시작시간과 끝시간이 정해져있다. 파티는 정각에 시작하여 정각에 끝난다. 예를 들어 10시에 파티가 시작한 파티가 오후2시(14시)에 끝날 수도 있고 가장 일찍 시작하는 파티는 아침 8시에 시작하고 이웃들의 항의가 있을 수 있기 때문에 아무리 늦게 끝나도 24시에는 끝나게 된다. 파티에 있을 때는 최소한 30분은 있어야 예의에 어긋나지 않는다. 아람이는 예의를 지키는 사람이다. 아람이는 축지법을 쓰기 때문에 파티간 이동시간은 신경쓰지 않아도 된다. 더 이상 참가할 파티가 없으면 아람이는 집에 돌아간다." }), "\n", _jsx(_components.p, { children: "아람이가 갈 수 있는 최대 파티 수는 몇 개인지 찾는 프로그램을 작성하시오." }), "\n", _jsx(_components.h2, { children: "입력" }), "\n", _jsxs(_components.p, { children: ["여러 개의 테스트케이스가 주어진다. 각 테스트케이스의 첫 번째 줄에 정수 ", _jsx(_components.code, { children: "p" }), "가 주어진다. (", _jsx(_components.code, { children: "p" }), " <= 100) 이 ", _jsx(_components.code, { children: "p" }), "는 그 날에 열리는 파티의 수이다. ", _jsx(_components.code, { children: "p" }), "가 0이면 입력의 끝을 의미한다. 이어지는 ", _jsx(_components.code, { children: "p" }), "개의 줄에는 ", _jsx(_components.code, { children: "s" }), "와 ", _jsx(_components.code, { children: "e" }), "가 주어진다. (8 <= ", _jsx(_components.code, { children: "s" }), " <= ", _jsx(_components.code, { children: "e" }), " <= 24) ", _jsx(_components.code, { children: "s" }), "는 파티의 시작 시간, ", _jsx(_components.code, { children: "e" }), "는 파티의 끝나는 시간을 의미한다. 시작 시간과 끝 시간이 같은 파티가 주어질 수도 있다."] }), "\n", _jsx(_components.p, { children: "n은 최대 갈 수 있는 파티의 수이고 d는 몇 번째 테스트 케이스인지를 가리킨다. 테스트케이스는 1부터 시작한다." }), "\n", _jsx(_components.h2, { children: "풀이" }), "\n", _jsxs(_components.p, { children: ["한 파티에 30분만 있어도 되므로, 시간을 30분 단위의 슬롯으로 나눠 생각하면 된다. 하루 전체는 8시부터 24시까지이므로 총 ", _jsx(_components.code, { children: "32" }), "개의 반시간 구간만 관리하면 충분하다."] }), "\n", _jsx(_components.p, { children: "코드에서는 파티를 종료 시간이 빠른 순으로 정렬한 뒤, 각 파티가 열리는 구간 안에서 아직 사용하지 않은 가장 이른 30분 슬롯 하나를 배정한다. 슬롯 하나만 배정되면 그 파티는 참석 가능하다고 볼 수 있다." }), "\n", _jsx(_components.p, { children: "이 방식은 종료가 빠른 파티부터 먼저 처리하는 전형적인 그리디다. 늦게 끝나는 파티를 먼저 잡아버리면, 짧은 구간 파티들이 들어갈 자리가 사라질 수 있기 때문이다." }), "\n", _jsx(_components.p, { children: "문제를 이렇게 바꾸면 \"각 구간 안에서 슬롯 하나씩만 차지하는 최대 개수 선택\"이 된다. 슬롯 수가 32개로 작아서, 복잡한 자료구조 없이도 각 파티의 가능한 시간 구간을 직접 확인하면서 배정할 수 있다." }), "\n", _jsx(_components.p, { children: "결국 핵심은 긴 시간 참석이 아니라 \"가능한 반시간 하나를 어디에 꽂을 것인가\"다. 관점을 반시간 슬롯 배정 문제로 바꾸면 구현이 훨씬 단순해진다." }), "\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: "grid" }, children: [_jsxs(_components.span, { "data-line": "", children: [_jsx(_components.span, { style: { color: "#81A1C1" }, children: "import" }), _jsx(_components.span, { style: { color: "#8FBCBB" }, children: " java" }), _jsx(_components.span, { style: { color: "#ECEFF4" }, children: "." }), _jsx(_components.span, { style: { color: "#8FBCBB" }, children: "io" }), _jsx(_components.span, { style: { color: 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children: "(" }), _jsx(_components.span, { style: { color: "#D8DEE9FF" }, children: "sb" }), _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: "\t}" }) }), "\n", _jsx(_components.span, { "data-line": "", children: _jsx(_components.span, { style: { color: "#D8DEE9FF" }, children: "\t" }) }), "\n", _jsx(_components.span, { "data-line": "", children: _jsx(_components.span, { style: { color: "#D8DEE9FF" }, children: "\t" }) }), "\n", _jsx(_components.span, { "data-line": "", children: _jsx(_components.span, { style: { color: "#616E88" }, children: "//\tstatic int solve(int N) {" }) }), "\n", _jsx(_components.span, { "data-line": "", children: _jsx(_components.span, { style: { color: "#616E88" }, children: "//\t\tint ans = 0;" }) }), "\n", _jsx(_components.span, { "data-line": "", children: _jsx(_components.span, { style: { color: "#616E88" }, children: "//\t\tfor (int i = 8; i < 24; i++) {" }) }), "\n", _jsx(_components.span, { "data-line": "", children: _jsx(_components.span, { style: { color: "#616E88" }, children: "//\t\t\tfor (int j = 0; j < 2; j++) {" }) }), "\n", _jsx(_components.span, { "data-line": "", children: _jsx(_components.span, { style: { color: "#616E88" }, children: "//\t\t\t\tfor (int k = 0; k < parties.size(); k++) {" }) }), "\n", _jsx(_components.span, { "data-line": "", children: _jsx(_components.span, { style: { color: "#616E88" }, children: "//\t\t\t\t\tParty p = parties.get(k);" }) }), "\n", _jsx(_components.span, { "data-line": "", children: _jsx(_components.span, { style: { color: "#616E88" }, children: "//\t\t\t\t\tif (i >= p.start && i < p.end) {" }) }), "\n", _jsx(_components.span, { "data-line": "", children: _jsx(_components.span, { style: { color: "#616E88" }, children: "//\t\t\t\t\t\tans++;" }) }), "\n", _jsx(_components.span, { "data-line": "", children: _jsx(_components.span, { style: { color: "#616E88" }, children: "//\t\t\t\t\t\tparties.remove(k);" }) }), "\n", _jsx(_components.span, { "data-line": "", children: _jsx(_components.span, { style: { color: "#616E88" }, children: "//\t\t\t\t\t\tbreak;" }) }), "\n", _jsx(_components.span, { "data-line": "", children: _jsx(_components.span, { style: { color: "#616E88" }, children: "//\t\t\t\t\t}" }) }), "\n", _jsx(_components.span, { "data-line": "", children: _jsx(_components.span, { style: { color: "#616E88" }, children: "//\t\t\t\t}" }) }), "\n", _jsx(_components.span, { "data-line": "", children: _jsx(_components.span, { style: { color: "#616E88" }, children: "//\t\t\t\t" }) }), "\n", _jsx(_components.span, { "data-line": "", children: _jsx(_components.span, { style: { color: "#616E88" }, children: "//\t\t\t}" }) }), "\n", _jsx(_components.span, { "data-line": "", children: _jsx(_components.span, { style: { color: "#616E88" }, children: "//\t\t}" }) }), "\n", _jsx(_components.span, { "data-line": "", children: _jsx(_components.span, { style: { color: "#616E88" }, children: "//\t\t" }) }), "\n", _jsx(_components.span, { "data-line": "", children: _jsx(_components.span, { style: { color: "#616E88" }, children: "//\t\treturn ans;" }) }), "\n", _jsx(_components.span, { "data-line": "", children: _jsx(_components.span, { style: { color: "#616E88" }, children: "//\t}" }) }), "\n", _jsx(_components.span, { "data-line": "", children: _jsx(_components.span, { style: { color: "#D8DEE9FF" }, children: "\t" }) }), "\n", _jsxs(_components.span, { "data-line": "", children: [_jsx(_components.span, { style: { color: "#81A1C1" }, children: "\tstatic" }), _jsx(_components.span, { style: { color: "#81A1C1" }, children: " int" }), _jsx(_components.span, { style: { color: "#88C0D0" }, children: " solve" }), _jsx(_components.span, { style: { color: "#ECEFF4" }, children: "(" }), _jsx(_components.span, { style: { color: "#81A1C1" }, children: "int" }), _jsx(_components.span, { style: { color: "#D8DEE9" }, children: " N" }), _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: "#81A1C1" }, children: "\t\tint" }), _jsx(_components.span, { style: { color: "#D8DEE9" }, children: " ans" }), _jsx(_components.span, { style: { color: "#81A1C1" }, children: " =" }), _jsx(_components.span, { style: { color: "#B48EAD" }, children: " 0" }), _jsx(_components.span, { style: { color: "#81A1C1" }, children: ";" })] }), "\n", _jsx(_components.span, { "data-line": "", children: _jsx(_components.span, { style: { color: "#616E88" }, children: "\t\t// 30분 단위로 기록" }) }), "\n", _jsxs(_components.span, { "data-line": "", children: [_jsx(_components.span, { style: { color: "#81A1C1" }, children: "\t\tboolean" }), _jsx(_components.span, { 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_jsx(_components.span, { style: { color: "#D8DEE9" }, children: "end" }), _jsx(_components.span, { style: { color: "#81A1C1" }, children: " -" }), _jsx(_components.span, { style: { color: "#B48EAD" }, children: " 8" }), _jsx(_components.span, { style: { color: "#ECEFF4" }, children: ")" }), _jsx(_components.span, { style: { color: "#81A1C1" }, children: " *" }), _jsx(_components.span, { style: { color: "#B48EAD" }, children: " 2" }), _jsx(_components.span, { style: { color: "#81A1C1" }, children: ";" })] }), "\n", _jsx(_components.span, { "data-line": "", children: _jsx(_components.span, { style: { color: "#D8DEE9FF" }, children: "\t\t\t" }) }), "\n", _jsxs(_components.span, { "data-line": "", children: [_jsx(_components.span, { style: { color: "#81A1C1" }, children: "\t\t\tfor" }), _jsx(_components.span, { style: { color: "#ECEFF4" }, children: " (" }), _jsx(_components.span, { style: { color: "#81A1C1" }, children: "int" }), _jsx(_components.span, { style: { color: "#D8DEE9" }, 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{ style: { color: "#ECEFF4" }, children: " (" }), _jsx(_components.span, { style: { color: "#81A1C1" }, children: "!" }), _jsx(_components.span, { style: { color: "#D8DEE9FF" }, children: "time" }), _jsx(_components.span, { style: { color: "#ECEFF4" }, children: "[" }), _jsx(_components.span, { style: { color: "#D8DEE9FF" }, children: "i" }), _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: "#D8DEE9FF" }, children: "\t\t\t\t\ttime" }), _jsx(_components.span, { style: { color: "#ECEFF4" }, children: "[" }), _jsx(_components.span, { style: { color: "#D8DEE9FF" }, children: "i" }), _jsx(_components.span, { style: { color: "#ECEFF4" }, children: "]" }), _jsx(_components.span, { style: { color: "#81A1C1" }, children: " =" }), _jsx(_components.span, { style: { color: "#81A1C1" }, children: " true;" })] }), "\n", _jsxs(_components.span, { "data-line": "", children: [_jsx(_components.span, { style: { color: "#D8DEE9FF" }, children: "\t\t\t\t\tans" }), _jsx(_components.span, { style: { color: "#81A1C1" }, children: "++;" })] }), "\n", _jsx(_components.span, { "data-line": "", children: _jsx(_components.span, { style: { color: "#81A1C1" }, children: "\t\t\t\t\tbreak;" }) }), "\n", _jsx(_components.span, { "data-line": "", children: _jsx(_components.span, { style: { color: "#ECEFF4" }, children: "\t\t\t\t}" }) }), "\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: "#D8DEE9FF" }, children: "\t\t" }) }), "\n", _jsxs(_components.span, { "data-line": "", children: [_jsx(_components.span, { style: { color: "#81A1C1" }, children: "\t\treturn" }), _jsx(_components.span, { style: { color: "#D8DEE9FF" }, children: " ans" }), _jsx(_components.span, { style: { color: "#81A1C1" }, children: ";" })] }), "\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: "#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: "p" }), _jsx(_components.mi, { children: "log" }), _jsx(_components.mo, { children: "⁡" }), _jsx(_components.mi, { children: "p" }), _jsx(_components.mo, { children: "+" }), _jsx(_components.mn, { children: "32" }), _jsx(_components.mi, { children: "p" }), _jsx(_components.mo, { stretchy: "false", children: ")" })] }), _jsx(_components.annotation, { encoding: "application/x-tex", children: "O(p \\log p + 32p)" })] }) }) }), _jsxs(_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", children: "p" }), _jsx(_components.span, { className: "mspace", style: { marginRight: "0.1667em" } }), _jsxs(_components.span, { className: "mop", children: ["lo", _jsx(_components.span, { style: { marginRight: "0.0139em" }, children: "g" })] }), _jsx(_components.span, { className: "mspace", style: { marginRight: "0.1667em" } }), _jsx(_components.span, { className: "mord mathnormal", children: "p" }), _jsx(_components.span, { className: "mspace", style: { marginRight: "0.2222em" } }), _jsx(_components.span, { className: "mbin", children: "+" }), _jsx(_components.span, { className: "mspace", style: { marginRight: "0.2222em" } })] }), _jsxs(_components.span, { className: "base", children: [_jsx(_components.span, { className: "strut", style: { height: "1em", verticalAlign: "-0.25em" } }), _jsx(_components.span, { className: "mord", children: "32" }), _jsx(_components.span, { className: "mord mathnormal", children: "p" }), _jsx(_components.span, { className: 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}, children: "O" }), _jsx(_components.span, { className: "mopen", children: "(" }), _jsx(_components.span, { className: "mord mathnormal", children: "p" }), _jsx(_components.span, { className: "mclose", children: ")" })] }) })] })] }), "\n"] }), "\n", _jsx(_components.h2, { children: "마무리" }), "\n", _jsx(_components.p, { children: "시간 전체가 길어 보여도 30분 단위로 쪼개면 상태 수는 아주 작다. 종료 시간이 빠른 파티부터 슬롯 하나씩 배정하는 그리디가 잘 맞는 문제다." }), "\n", _jsx(_components.p, { children: _jsx(_components.img, { src: "/generated/posts/algorithm/boj-4055/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 4055 - 파티가 좋아 파티가 좋아