"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/27114", children: "문제 링크" }) }), "\n", _jsx(_components.h2, { children: "문제" }), "\n", _jsx(_components.p, { children: "공군 훈련소의 훈육조교는 훌륭한 조교가 되기 위해 오늘도 피나는 제식 연습을 진행한다. 오늘 연습하려고 하는 제식은 총 세 가지로, 현재 바라보는 방향을 기준으로 각각 왼쪽으로 $90^\\circ$ 회전하는 좌로 돌아, 오른쪽으로 $90\\circ$ 회전하는 우로 돌아, 뒤로 $180^\\circ$ 회전하는 뒤로 돌아이다." }), "\n", _jsx(_components.p, { children: "좌로 돌아, 우로 돌아, 뒤로 돌아를 $1$회 수행하는 데에는 각각 $A, B, C$만큼의 에너지가 든다. 오늘 조교의 총 에너지는 $K$만큼 남아있으며, 최고의 훈련을 위해 모든 $K$만큼의 에너지를 전부 소진하려고 한다." }), "\n", _jsx(_components.p, { children: "조교는 본인의 에너지를 모두 소모하여 연습을 끝냈을 때 처음 바라보던 방향과 완벽히 동일한 방향을 바라보고자 한다. 또한, 어지러움으로 인한 흐트러짐을 막기 위해 제식의 수행 횟수를 최소화하고자 한다." }), "\n", _jsx(_components.p, { children: "조교가 정확히 $K$만큼의 에너지를 소모하며 처음 바라보고 있던 방향을 바라보며 연습을 끝내고자 할 때 제식 수행 횟수의 최솟값을 구하여라." }), "\n", _jsx(_components.h2, { children: "입력" }), "\n", _jsx(_components.p, { children: "첫 번째 줄에 각각 좌로 돌아, 우로 돌아, 뒤로 돌아에 들어가는 에너지를 나타내는 세 정수 $A, B, C$와 사용하고자 하는 총 에너지양을 나타내는 정수 $K$가 공백으로 구분되어 주어진다. $(1\\leq A,B,C,K\\leq 1,000,000)$" }), "\n", _jsx(_components.h2, { children: "출력" }), "\n", _jsx(_components.p, { children: "정확히 $K$만큼의 에너지를 소모하며 처음 바라보고 있던 방향을 바라보며 연습을 끝내고자 할 때 제식 수행 횟수의 최솟값을 출력한다." }), "\n", _jsx(_components.p, { children: "만약 정확히 $K$만큼의 에너지를 소모하며 처음 바라보고 있던 방향을 보는 것이 불가능하다면, $-1$을 출력한다." }), "\n", _jsx(_components.h2, { children: "풀이" }), "\n", _jsxs(_components.p, { children: ["단순히 에너지 합만 맞추면 되는 게 아니라, 마지막 방향까지 원래 위치로 돌아와야 한다. 그래서 상태를 ", _jsx(_components.code, { children: "dp[사용한 에너지][현재 방향]" }), "으로 두는 DP가 필요하다."] }), "\n", _jsxs(_components.p, { children: ["초기 상태는 ", _jsx(_components.code, { children: "dp[0][0] = 0" }), "이고, 각 상태에서 세 가지 회전을 시도하며 다음 에너지와 다음 방향을 갱신한다. 같은 에너지와 방향에 도달하는 더 짧은 방법이 있으면 그 값으로 갱신하면 된다."] }), "\n", _jsx(_components.p, { children: "회전마다 방향 변화량이 서로 다르기 때문에, 단순히 에너지만 맞춘다고 끝나지 않는다. 예를 들어 총 에너지가 같아도 어느 회전을 몇 번 썼는지에 따라 최종 방향이 달라질 수 있으므로, 방향 차원을 함께 들고 가야 한다." }), "\n", _jsxs(_components.p, { children: ["코드에서도 현재 방향을 ", _jsx(_components.code, { children: "0~3" }), "으로 두고, 세 가지 회전에 대해 ", _jsx(_components.code, { children: "(현재 방향 + 회전량) % 4" }), "로 다음 방향을 만든다. 그렇게 해서 정확히 에너지 ", _jsx(_components.code, { children: "K" }), "를 썼을 때 방향이 다시 ", _jsx(_components.code, { children: "0" }), "인 상태 중 최소 동작 횟수를 답으로 사용한다. 마지막에 ", _jsx(_components.code, { children: "dp[K][0]" }), "이 갱신되지 않았다면 불가능하므로 ", _jsx(_components.code, { children: "-1" }), "이다."] }), "\n", _jsx(_components.h2, { children: "코드" }), "\n", _jsx(_components.figure, { "data-rehype-pretty-code-figure": "", children: 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color: "#ECEFF4" }, children: "(" }), _jsx(_components.span, { style: { color: "#81A1C1" }, children: "NULL" }), _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: "#D8DEE9" }, children: "\tcout" }), _jsx(_components.span, { style: { color: "#ECEFF4" }, children: "." }), _jsx(_components.span, { style: { color: "#88C0D0" }, children: "tie" }), _jsx(_components.span, { style: { color: "#ECEFF4" }, children: "(" }), _jsx(_components.span, { style: { color: "#81A1C1" }, children: "NULL" }), _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: "\tint" }), _jsx(_components.span, { style: { color: "#D8DEE9FF" }, children: " K " }), _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// 우 -> 뒤 -> 좌" }) }), "\n", _jsxs(_components.span, { "data-line": "", children: [_jsx(_components.span, { style: { color: "#D8DEE9FF" }, children: "\tcin " }), _jsx(_components.span, { style: { color: "#81A1C1" }, children: ">>" }), _jsx(_components.span, { style: { color: "#D8DEE9" }, children: " energy" }), _jsx(_components.span, { style: { color: "#ECEFF4" }, children: "[" }), _jsx(_components.span, { style: { color: "#B48EAD" }, children: "3" }), _jsx(_components.span, { style: { color: "#ECEFF4" }, children: "]" }), 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"data-line": "", children: " " }), "\n", _jsxs(_components.span, { "data-line": "", children: [_jsx(_components.span, { style: { color: "#81A1C1" }, children: "\tfor" }), _jsx(_components.span, { style: { color: "#ECEFF4" }, children: " (" }), _jsx(_components.span, { style: { color: "#81A1C1" }, children: "int" }), _jsx(_components.span, { style: { color: "#D8DEE9FF" }, children: " i " }), _jsx(_components.span, { style: { color: "#81A1C1" }, children: "=" }), _jsx(_components.span, { style: { color: "#B48EAD" }, children: " 0" }), _jsx(_components.span, { style: { color: "#81A1C1" }, children: ";" }), _jsx(_components.span, { style: { color: "#D8DEE9FF" }, children: " i " }), _jsx(_components.span, { style: { color: "#81A1C1" }, children: "<=" }), _jsx(_components.span, { style: { color: "#D8DEE9FF" }, children: " K" }), _jsx(_components.span, { style: { color: "#81A1C1" }, children: ";" }), _jsx(_components.span, { style: { color: "#D8DEE9FF" }, children: " i" }), _jsx(_components.span, { style: { color: "#81A1C1" }, children: "++" }), _jsx(_components.span, { style: { color: "#ECEFF4" }, children: ")" }), _jsx(_components.span, { style: { color: "#D8DEE9FF" }, children: " " })] }), "\n", _jsxs(_components.span, { "data-line": "", children: [_jsx(_components.span, { style: { color: "#81A1C1" }, children: "\t\tfor" }), _jsx(_components.span, { style: { color: "#ECEFF4" }, children: " (" }), _jsx(_components.span, { style: { color: "#81A1C1" }, children: "int" }), _jsx(_components.span, { style: { color: "#D8DEE9FF" }, children: " j " }), _jsx(_components.span, { style: { color: "#81A1C1" }, children: "=" }), _jsx(_components.span, { style: { color: "#B48EAD" }, children: " 0" }), _jsx(_components.span, { style: { color: "#81A1C1" }, children: ";" }), _jsx(_components.span, { style: { color: "#D8DEE9FF" }, children: " j " }), _jsx(_components.span, { style: { color: "#81A1C1" }, children: "<" }), _jsx(_components.span, { style: { color: "#B48EAD" 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_jsx(_components.span, { "data-line": "", children: " " }), "\n", _jsxs(_components.span, { "data-line": "", children: [_jsx(_components.span, { style: { color: "#81A1C1" }, children: "\treturn" }), _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: "#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(K)" })] }), "\n", _jsxs(_components.li, { children: ["공간 복잡도: ", _jsx(_components.code, { children: "O(K)" })] }), "\n"] }), "\n", _jsx(_components.h2, { children: "마무리" }), "\n", _jsx(_components.p, { children: "에너지 총합만 맞추는 배낭처럼 보이지만, 방향 상태 하나가 더 들어간다. 이 방향 차원까지 함께 관리해야 정답이 된다." }), "\n", _jsx(_components.p, { children: _jsx(_components.img, { src: "/generated/posts/algorithm/boj-27114/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 27114 - 조교의 맹연습