"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/14500", children: "문제 링크" }) }), "\n", _jsx(_components.h2, { children: "문제" }), "\n", _jsx(_components.p, { children: "폴리오미노란 크기가 1×1인 정사각형을 여러 개 이어서 붙인 도형이며, 다음과 같은 조건을 만족해야 한다." }), "\n", _jsxs(_components.ul, { children: ["\n", _jsx(_components.li, { children: "정사각형은 서로 겹치면 안 된다." }), "\n", _jsx(_components.li, { children: "도형은 모두 연결되어 있어야 한다." }), "\n", _jsx(_components.li, { children: "정사각형의 변끼리 연결되어 있어야 한다. 즉, 꼭짓점과 꼭짓점만 맞닿아 있으면 안 된다." }), "\n"] }), "\n", _jsx(_components.p, { children: "정사각형 4개를 이어 붙인 폴리오미노는 테트로미노라고 하며, 다음과 같은 5가지가 있다." }), "\n", _jsx(_components.p, { children: _jsx(_components.img, { src: "/generated/posts/algorithm/boj-14500/assets/img1.png", alt: "" }) }), "\n", _jsx(_components.p, { children: "아름이는 크기가 N×M인 종이 위에 테트로미노 하나를 놓으려고 한다. 종이는 1×1 크기의 칸으로 나누어져 있으며, 각각의 칸에는 정수가 하나 쓰여 있다." }), "\n", _jsx(_components.p, { children: "테트로미노 하나를 적절히 놓아서 테트로미노가 놓인 칸에 쓰여 있는 수들의 합을 최대로 하는 프로그램을 작성하시오." }), "\n", _jsx(_components.p, { children: "테트로미노는 반드시 한 정사각형이 정확히 하나의 칸을 포함하도록 놓아야 하며, 회전이나 대칭을 시켜도 된다." }), "\n", _jsx(_components.h2, { children: "입력" }), "\n", _jsx(_components.p, { children: "첫째 줄에 종이의 세로 크기 N과 가로 크기 M이 주어진다. (4 ≤ N, M ≤ 500)" }), "\n", _jsx(_components.p, { children: "둘째 줄부터 N개의 줄에 종이에 쓰여 있는 수가 주어진다. i번째 줄의 j번째 수는 위에서부터 i번째 칸, 왼쪽에서부터 j번째 칸에 쓰여 있는 수이다. 입력으로 주어지는 수는 1,000을 넘지 않는 자연수이다." }), "\n", _jsx(_components.h2, { children: "출력" }), "\n", _jsx(_components.p, { children: "첫째 줄에 테트로미노가 놓인 칸에 쓰인 수들의 합의 최댓값을 출력한다." }), "\n", _jsx(_components.h2, { children: "풀이" }), "\n", _jsx(_components.p, { children: "대부분의 테트로미노는 DFS로 4칸을 이어 붙이며 탐색할 수 있다. 하지만 ㅗ 모양은 단순 경로 DFS로 만들 수 없기 때문에 별도로 처리해야 한다는 점이 핵심이다." }), "\n", _jsx(_components.p, { children: "코드에서는 각 칸에서 깊이 4까지 DFS를 돌려 경로형 모양을 모두 확인하고, 동시에 현재 칸을 중심으로 한 ㅗ 계열 모양은 따로 계산한다. 두 결과 중 최댓값이 정답이다." }), "\n", _jsx(_components.p, { children: "DFS 하나로 모든 모양이 커버되지는 않는다는 점이 포인트다." }), "\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", 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_jsx(_components.span, { style: { color: "#D8DEE9FF" }, children: " next_y " }), _jsx(_components.span, { style: { color: "#81A1C1" }, children: "=" }), _jsx(_components.span, { style: { color: "#D8DEE9FF" }, children: " y " }), _jsx(_components.span, { style: { color: "#81A1C1" }, children: "+" }), _jsx(_components.span, { style: { color: "#D8DEE9" }, children: " dy" }), _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: ";" })] }), "\n", _jsx(_components.span, { "data-line": "", children: " " }), "\n", _jsxs(_components.span, { "data-line": "", children: [_jsx(_components.span, { style: { color: "#81A1C1" }, children: "\t\tif" }), _jsx(_components.span, { style: { color: "#ECEFF4" }, children: "(" }), _jsx(_components.span, { style: { color: "#D8DEE9FF" }, children: "next_x " }), _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: " next_x " }), _jsx(_components.span, { style: { color: "#81A1C1" }, children: "<" }), _jsx(_components.span, { style: { color: "#D8DEE9FF" }, children: " n " }), _jsx(_components.span, { style: { color: "#81A1C1" }, children: "&&" }), _jsx(_components.span, { style: { color: "#D8DEE9FF" }, children: " next_y " }), _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: " next_y " }), _jsx(_components.span, { style: { color: "#81A1C1" }, children: "<" }), _jsx(_components.span, { style: { color: "#D8DEE9FF" }, children: " m" }), _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\t\tif" }), _jsx(_components.span, { style: { color: "#ECEFF4" }, children: "(" }), _jsx(_components.span, { style: { color: "#81A1C1" }, children: "!" }), _jsx(_components.span, { style: { color: "#D8DEE9" }, children: "visit" }), _jsx(_components.span, { style: { color: "#ECEFF4" }, children: "[" }), _jsx(_components.span, { style: { color: "#D8DEE9FF" }, children: "next_x" }), _jsx(_components.span, { style: { color: "#ECEFF4" }, children: "][" }), _jsx(_components.span, { style: { color: "#D8DEE9FF" }, children: "next_y" }), _jsx(_components.span, { style: { color: "#ECEFF4" }, 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: "#D8DEE9" }, children: "\t\t\t\tvisit" }), _jsx(_components.span, { style: { color: "#ECEFF4" }, children: "[" }), _jsx(_components.span, { style: { color: "#D8DEE9FF" }, children: "next_x" }), _jsx(_components.span, { style: { color: "#ECEFF4" }, children: "][" }), _jsx(_components.span, { style: { color: "#D8DEE9FF" }, children: "next_y" }), _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: "#88C0D0" }, children: "\t\t\t\tdfs" }), _jsx(_components.span, { style: { color: "#ECEFF4" }, children: "(" }), _jsx(_components.span, { style: { color: "#D8DEE9FF" }, children: "next_x" }), _jsx(_components.span, { style: { color: "#ECEFF4" }, children: "," }), _jsx(_components.span, { style: { color: "#D8DEE9FF" }, children: " next_y" }), _jsx(_components.span, { style: { color: "#ECEFF4" }, children: "," }), _jsx(_components.span, { style: { color: "#D8DEE9FF" }, children: " sum " }), _jsx(_components.span, { style: { color: "#81A1C1" }, children: "+" }), _jsx(_components.span, { style: { color: "#D8DEE9" }, children: " arr" }), _jsx(_components.span, { style: { color: "#ECEFF4" }, children: "[" }), _jsx(_components.span, { style: { color: "#D8DEE9FF" }, children: "next_x" }), _jsx(_components.span, { style: { color: "#ECEFF4" }, children: "][" }), _jsx(_components.span, { style: { color: "#D8DEE9FF" }, children: "next_y" }), _jsx(_components.span, { style: { color: "#ECEFF4" }, children: "]," }), _jsx(_components.span, { style: { color: "#D8DEE9FF" }, children: " length " }), _jsx(_components.span, { style: { color: "#81A1C1" }, children: "+" }), _jsx(_components.span, { style: { color: "#B48EAD" }, children: " 1" }), _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: "#D8DEE9" }, children: "\t\t\t\tvisit" }), _jsx(_components.span, { style: { color: "#ECEFF4" }, children: "[" }), _jsx(_components.span, { style: { color: "#D8DEE9FF" }, children: "next_x" }), _jsx(_components.span, { style: { color: "#ECEFF4" }, children: "][" }), _jsx(_components.span, { style: { color: "#D8DEE9FF" }, children: "next_y" }), _jsx(_components.span, { style: { color: "#ECEFF4" }, children: "]" }), _jsx(_components.span, { style: { color: "#81A1C1" }, children: " =" }), _jsx(_components.span, { style: { color: "#81A1C1" }, children: " false;" })] }), "\n", _jsx(_components.span, { "data-line": "", children: _jsx(_components.span, { style: { color: "#616E88" }, children: "\t\t\t\t//기존의 dfs와 다르게 한 번 탐색했던 곳을 다시 방문하는 경우 발생" }) }), "\n", _jsx(_components.span, { "data-line": "", children: _jsx(_components.span, { style: { color: "#616E88" }, children: "\t\t\t\t//dfs를 다 돌았다면 false로 하여 다른 경우에서 방문할 수 있도록 함" }) }), "\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: "#D8DEE9FF" }, children: "\t\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: _jsx(_components.span, { style: { color: "#ECEFF4" }, children: "}" }) }), "\n", _jsx(_components.span, { "data-line": "", children: " " }), "\n", _jsx(_components.span, { "data-line": "", children: _jsx(_components.span, { style: { color: "#616E88" }, children: "//t모양 테트로미노는 4개를 이어서 그릴 수 없기 때문에(깊이가 4가 안됨) dfs가 아닌 따로 체크" }) }), "\n", _jsxs(_components.span, { "data-line": "", children: [_jsx(_components.span, { style: { color: "#81A1C1" }, children: "void" }), _jsx(_components.span, { style: { color: "#88C0D0" }, children: " check_t" }), _jsx(_components.span, { style: { color: "#ECEFF4" }, children: "(" }), _jsx(_components.span, { style: { color: "#81A1C1" }, children: "int" }), _jsx(_components.span, { style: { color: "#D8DEE9" }, children: " x" }), _jsx(_components.span, { style: { color: "#ECEFF4" }, children: "," }), _jsx(_components.span, { style: { color: "#81A1C1" }, children: " int" }), _jsx(_components.span, { style: { color: "#D8DEE9" }, children: " y" }), _jsx(_components.span, { style: { color: "#ECEFF4" }, children: ")" }), _jsx(_components.span, { style: { color: "#ECEFF4" }, children: " {" })] }), "\n", _jsx(_components.span, { "data-line": "", children: " " }), "\n", _jsx(_components.span, { "data-line": "", children: _jsx(_components.span, { style: { color: "#616E88" }, children: "\t//ㅗ" }) }), "\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: { color: "#D8DEE9FF" }, children: "y " }), _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: " y " }), _jsx(_components.span, { style: { color: "#81A1C1" }, children: "+" }), _jsx(_components.span, { style: { color: "#B48EAD" }, children: " 2" }), _jsx(_components.span, { style: { color: "#81A1C1" }, children: " <" }), _jsx(_components.span, { style: { color: "#D8DEE9FF" }, children: " m " }), _jsx(_components.span, { style: { color: "#81A1C1" }, children: "&&" }), _jsx(_components.span, { style: { color: "#D8DEE9FF" }, children: " x " }), _jsx(_components.span, { style: { color: "#81A1C1" }, children: "-" }), _jsx(_components.span, { style: { color: "#B48EAD" }, children: " 1" }), _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: " x " }), _jsx(_components.span, { style: { color: "#81A1C1" }, children: "<" }), _jsx(_components.span, { style: { color: "#D8DEE9FF" }, children: " n" }), _jsx(_components.span, { style: { color: "#ECEFF4" }, children: ")" })] }), "\n", _jsxs(_components.span, { "data-line": "", children: [_jsx(_components.span, { style: { color: "#D8DEE9FF" }, children: "\t\tresult " }), _jsx(_components.span, { style: { color: "#81A1C1" }, children: "=" }), _jsx(_components.span, { style: { color: "#88C0D0" }, children: " max" }), _jsx(_components.span, { style: { color: "#ECEFF4" }, children: "(" }), _jsx(_components.span, { style: { color: "#D8DEE9FF" }, children: "result" }), _jsx(_components.span, { style: { color: "#ECEFF4" }, children: "," }), _jsx(_components.span, { style: { color: "#ECEFF4" }, children: " (" }), _jsx(_components.span, { style: { color: "#D8DEE9" }, children: "arr" }), _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: "#D8DEE9FF" }, children: "y" }), _jsx(_components.span, { style: { color: "#ECEFF4" }, children: "]" }), _jsx(_components.span, { style: { color: "#81A1C1" }, children: " +" }), _jsx(_components.span, { style: { color: "#D8DEE9" }, children: " arr" }), _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: "#D8DEE9FF" }, children: "y" }), _jsx(_components.span, { style: { color: "#81A1C1" }, children: "+" }), _jsx(_components.span, { style: { color: "#B48EAD" }, children: "1" }), _jsx(_components.span, { style: { color: "#ECEFF4" }, children: "]" }), _jsx(_components.span, { style: { color: "#81A1C1" }, children: " +" }), _jsx(_components.span, { style: { color: "#D8DEE9" }, children: " arr" }), _jsx(_components.span, { style: { color: "#ECEFF4" }, children: "[" }), _jsx(_components.span, { style: { color: "#D8DEE9FF" }, children: "x" }), _jsx(_components.span, { style: { color: "#81A1C1" }, children: "-" }), _jsx(_components.span, { style: { color: "#B48EAD" }, children: "1" }), _jsx(_components.span, { style: { color: "#ECEFF4" }, children: "][" }), _jsx(_components.span, { style: { color: "#D8DEE9FF" }, children: "y" }), _jsx(_components.span, { style: { color: "#81A1C1" }, children: "+" }), _jsx(_components.span, { style: { color: "#B48EAD" }, children: "1" }), _jsx(_components.span, { style: { color: "#ECEFF4" }, children: "]" }), _jsx(_components.span, { style: { color: "#81A1C1" }, children: " +" }), _jsx(_components.span, { style: { color: "#D8DEE9" }, children: " arr" }), _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: "#D8DEE9FF" }, children: "y" }), _jsx(_components.span, { style: { color: "#81A1C1" }, children: "+" }), _jsx(_components.span, { style: { color: "#B48EAD" }, children: "2" }), _jsx(_components.span, { style: { color: "#ECEFF4" }, children: "]))" }), _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: "\t//ㅜ" }) }), "\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: { color: "#D8DEE9FF" }, children: "y " }), _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: " y " }), _jsx(_components.span, { style: { color: "#81A1C1" }, children: "+" }), _jsx(_components.span, { style: { color: "#B48EAD" }, children: " 2" }), _jsx(_components.span, { style: { color: "#81A1C1" }, children: " <" }), _jsx(_components.span, { style: { color: "#D8DEE9FF" }, children: " m " }), _jsx(_components.span, { style: { color: "#81A1C1" }, children: "&&" }), _jsx(_components.span, { style: { color: "#D8DEE9FF" }, children: " x " }), _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: " x " }), _jsx(_components.span, { style: { color: "#81A1C1" }, children: "+" }), _jsx(_components.span, { style: { color: "#B48EAD" }, children: " 1" }), _jsx(_components.span, { style: { color: "#81A1C1" }, children: " <" }), _jsx(_components.span, { style: { color: "#D8DEE9FF" }, children: " n" }), _jsx(_components.span, { style: { color: "#ECEFF4" }, children: ")" })] }), "\n", _jsxs(_components.span, { "data-line": "", children: [_jsx(_components.span, { style: { color: "#D8DEE9FF" }, children: "\t\tresult " }), _jsx(_components.span, { style: { color: "#81A1C1" }, children: "=" }), _jsx(_components.span, { style: { color: "#88C0D0" }, children: " max" }), _jsx(_components.span, { style: { color: "#ECEFF4" }, children: "(" }), _jsx(_components.span, { style: { color: "#D8DEE9FF" }, children: "result" }), _jsx(_components.span, { style: { color: "#ECEFF4" }, children: "," }), _jsx(_components.span, { style: { color: "#ECEFF4" }, children: " (" }), _jsx(_components.span, { style: { color: "#D8DEE9" }, children: "arr" }), _jsx(_components.span, { style: { color: "#ECEFF4" }, children: "[" }), _jsx(_components.span, { style: { color: "#D8DEE9FF" }, children: "x" }), 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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: "#88C0D0" }, children: "\tsolve" }), _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: "\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", _jsx(_components.li, { children: "시간 복잡도: 격자의 모든 칸에서 상수 크기 완전탐색을 수행한다" }), "\n", _jsxs(_components.li, { children: ["공간 복잡도: 방문 배열과 재귀 스택 기준 ", _jsx(_components.code, { children: "O(NM)" })] }), "\n"] }), "\n", _jsx(_components.h2, { children: "마무리" }), "\n", _jsx(_components.p, { children: "테트로미노는 거의 DFS로 끝나지만, ㅗ 계열만은 별도 처리해야 한다. 그 예외를 챙기는 순간 완전탐색이 완성된다." }), "\n", _jsx(_components.p, { children: _jsx(_components.img, { src: "/generated/posts/algorithm/boj-14500/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 14500 - 테트로미노