"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/1202", children: "문제 링크" }) }), "\n", _jsx(_components.h2, { children: "문제" }), "\n", _jsx(_components.p, { children: "세계적인 도둑 상덕이는 보석점을 털기로 결심했다." }), "\n", _jsx(_components.p, { children: "상덕이가 털 보석점에는 보석이 총 N개 있다. 각 보석은 무게 Mi와 가격 Vi를 가지고 있다. 상덕이는 가방을 K개 가지고 있고, 각 가방에 담을 수 있는 최대 무게는 Ci이다. 가방에는 최대 한 개의 보석만 넣을 수 있다." }), "\n", _jsx(_components.p, { children: "상덕이가 훔칠 수 있는 보석의 최대 가격을 구하는 프로그램을 작성하시오." }), "\n", _jsx(_components.h2, { children: "입력" }), "\n", _jsx(_components.p, { children: "첫째 줄에 N과 K가 주어진다. (1 ≤ N, K ≤ 300,000)" }), "\n", _jsx(_components.p, { children: "다음 N개 줄에는 각 보석의 정보 Mi와 Vi가 주어진다. (0 ≤ Mi, Vi ≤ 1,000,000)" }), "\n", _jsx(_components.p, { children: "다음 K개 줄에는 가방에 담을 수 있는 최대 무게 Ci가 주어진다. (1 ≤ Ci ≤ 100,000,000)" }), "\n", _jsx(_components.p, { children: "모든 숫자는 양의 정수이다." }), "\n", _jsx(_components.h2, { children: "출력" }), "\n", _jsx(_components.p, { children: "첫째 줄에 상덕이가 훔칠 수 있는 보석 가격의 합의 최댓값을 출력한다." }), "\n", _jsx(_components.h2, { children: "풀이" }), "\n", _jsx(_components.p, { children: "가방을 아무 순서로 보는 대신, 담을 수 있는 무게가 작은 가방부터 차례대로 처리하면 구조가 단순해진다. 현재 가방에 들어갈 수 있는 보석들만 모아 두고, 그중 가장 비싼 것을 하나 꺼내면 항상 최선이다." }), "\n", _jsx(_components.p, { children: "코드에서는 보석을 무게 오름차순으로, 가방도 최대 허용 무게 오름차순으로 정렬한다. 가방 하나를 볼 때마다 아직 처리하지 않은 보석 중에서 현재 가방에 들어갈 수 있는 모든 보석의 가격을 최대 힙에 넣는다. 그리고 힙의 맨 위, 즉 가장 비싼 보석 하나를 꺼내 현재 가방에 담는다." }), "\n", _jsx(_components.p, { children: "한 번 힙에 들어간 보석은 이후 더 큰 가방에도 들어갈 수 있으므로, 작은 가방부터 순서대로 처리하는 전략이 자연스럽다. 이렇게 하면 각 가방에 대해 '지금까지 들어갈 수 있었던 후보 중 최고가'를 빠르게 고를 수 있다." }), "\n", _jsx(_components.h2, { children: "코드" }), "\n", _jsx(_components.figure, { "data-rehype-pretty-code-figure": "", children: _jsx(_components.pre, { style: { backgroundColor: "#2e3440ff", color: 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"#D8DEE9FF" }, children: " idx" }), _jsx(_components.span, { style: { color: "#81A1C1" }, children: "++;" })] }), "\n", _jsx(_components.span, { "data-line": "", children: _jsx(_components.span, { style: { color: "#ECEFF4" }, children: " }" }) }), "\n", _jsx(_components.span, { "data-line": "", children: " " }), "\n", _jsxs(_components.span, { "data-line": "", children: [_jsx(_components.span, { style: { color: "#81A1C1" }, children: " if" }), _jsx(_components.span, { style: { color: "#ECEFF4" }, children: " (" }), _jsx(_components.span, { style: { color: "#81A1C1" }, children: "!" }), _jsx(_components.span, { style: { color: "#D8DEE9" }, children: "pq" }), _jsx(_components.span, { style: { color: "#ECEFF4" }, children: "." }), _jsx(_components.span, { style: { color: "#88C0D0" }, children: "isEmpty" }), _jsx(_components.span, { style: { color: "#ECEFF4" }, children: "())" })] }), "\n", _jsxs(_components.span, { "data-line": "", children: [_jsx(_components.span, { style: { color: "#D8DEE9FF" }, children: " ans " }), _jsx(_components.span, { style: { color: "#81A1C1" }, children: "+=" }), _jsx(_components.span, { style: { color: "#D8DEE9" }, children: " pq" }), _jsx(_components.span, { style: { color: "#ECEFF4" }, children: "." }), _jsx(_components.span, { style: { color: "#88C0D0" }, children: "poll" }), _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.span, { "data-line": "", children: " " }), "\n", _jsxs(_components.span, { "data-line": "", children: [_jsx(_components.span, { style: { color: "#81A1C1" }, children: " return" }), _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: " }" }) }), "\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: ", _jsx(_components.code, { children: "O((N + K) log N)" })] }), "\n", _jsxs(_components.li, { children: ["공간 복잡도: ", _jsx(_components.code, { children: "O(N)" })] }), "\n"] }), "\n", _jsx(_components.h2, { children: "마무리" }), "\n", _jsx(_components.p, { children: "보석을 무게순으로 밀어 넣고, 가방마다 그 순간 담을 수 있는 최고가만 고르면 된다. 정렬과 최대 힙 조합이 아주 정석적으로 들어맞는 문제다." }), "\n", _jsx(_components.p, { children: _jsx(_components.img, { src: "/generated/posts/algorithm/boj-1202/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 1202 - 보석 도둑