"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/11729", children: "문제 링크" }) }), "\n", _jsx(_components.h2, { children: "문제" }), "\n", _jsx(_components.p, { children: "세 개의 장대가 있고 첫 번째 장대에는 반경이 서로 다른 n개의 원판이 쌓여 있다. 각 원판은 반경이 큰 순서대로 쌓여있다. 이제 수도승들이 다음 규칙에 따라 첫 번째 장대에서 세 번째 장대로 옮기려 한다." }), "\n", _jsxs(_components.ul, { children: ["\n", _jsx(_components.li, { children: "한 번에 한 개의 원판만을 다른 탑으로 옮길 수 있다." }), "\n", _jsx(_components.li, { children: "쌓아 놓은 원판은 항상 위의 것이 아래의 것보다 작아야 한다." }), "\n"] }), "\n", _jsx(_components.p, { children: "이 작업을 수행하는데 필요한 이동 순서를 출력하는 프로그램을 작성하라. 단, 이동 횟수는 최소가 되어야 한다." }), "\n", _jsx(_components.p, { children: "아래 그림은 원판이 5개인 경우의 예시이다." }), "\n", _jsx(_components.p, { children: _jsx(_components.img, { src: "/generated/posts/algorithm/boj-11729/assets/img1.png", alt: "" }) }), "\n", _jsx(_components.h2, { children: "입력" }), "\n", _jsx(_components.p, { children: "첫째 줄에 첫 번째 장대에 쌓인 원판의 개수 N (1 ≤ N ≤ 20)이 주어진다." }), "\n", _jsx(_components.h2, { children: "출력" }), "\n", _jsx(_components.p, { children: "첫째 줄에 옮긴 횟수 K를 출력한다." }), "\n", _jsx(_components.p, { children: "두 번째 줄부터 수행 과정을 출력한다. 두 번째 줄부터 K개의 줄에 걸쳐 두 정수 A B를 빈칸을 사이에 두고 출력하는데, 이는 A번째 탑의 가장 위에 있는 원판을 B번째 탑의 가장 위로 옮긴다는 뜻이다." }), "\n", _jsx(_components.h2, { children: "풀이" }), "\n", _jsx(_components.p, { children: "원반 n개를 옮기려면 먼저 n-1개를 보조 기둥으로 옮기고, 가장 큰 원반 하나를 목적지로 보낸 뒤, 다시 n-1개를 목적지로 옮겨야 한다. 이 구조가 그대로 재귀 정의가 된다." }), "\n", _jsx(_components.p, { children: "즉 solve(n, from, via, to)는 solve(n-1, from, to, via) -> 큰 원반 이동 -> solve(n-1, via, from, to) 순서로 이루어진다. 이동 횟수는 2^n - 1이다." }), "\n", _jsx(_components.p, { children: "큰 원반은 언제나 한 번만 움직이고, 나머지는 같은 문제가 반복된다." }), "\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", children: _jsxs(_components.code, { "data-language": "cpp", "data-theme": "nord", style: { display: "grid" }, children: [_jsxs(_components.span, { "data-line": "", children: [_jsx(_components.span, { style: { color: "#5E81AC", fontWeight: "bold" }, children: "#" }), _jsx(_components.span, { style: { color: "#81A1C1" }, children: "include" }), _jsx(_components.span, { style: { color: "#ECEFF4" }, children: " <" }), _jsx(_components.span, { style: { color: "#A3BE8C" }, children: "iostream" }), _jsx(_components.span, { style: { color: "#ECEFF4" }, children: ">" })] }), "\n", _jsxs(_components.span, { "data-line": "", children: [_jsx(_components.span, { style: { color: "#81A1C1" }, children: "using" }), _jsx(_components.span, { style: { color: "#81A1C1" }, children: " namespace" }), _jsx(_components.span, { style: { color: "#D8DEE9FF" }, children: " std" }), _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: "// 기둥을 각각 1, 2, 3으로 지정, ex) x = 1, y = 3, 남은 기둥: 2" }) }), "\n", _jsx(_components.span, { "data-line": "", children: _jsx(_components.span, { style: { color: "#616E88" }, children: "// x : 원반이 있는 기둥, y : 원반을 옮길 기둥, 6-x-y : 남은 기둥" }) }), "\n", _jsx(_components.span, { "data-line": "", children: _jsx(_components.span, { style: { color: "#616E88" }, children: "// n : 원반 번호 ex) 1, 2, ..., n-1, n" }) }), "\n", _jsxs(_components.span, { "data-line": "", children: [_jsx(_components.span, 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}), "\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: "n " }), _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: "#616E88" }, children: " // 가장 위에 있는 원반을 옮기는 경우" })] }), "\n", _jsxs(_components.span, { "data-line": "", children: [_jsx(_components.span, { style: { color: "#D8DEE9FF" }, children: "\t\tcout " }), _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: "#ECEFF4" }, children: " \"" }), _jsx(_components.span, { style: { color: "#ECEFF4" }, children: " \"" }), _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: "#ECEFF4" }, children: " '" }), _jsx(_components.span, { style: { color: "#EBCB8B" }, children: "\\n" }), _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: "#81A1C1" }, children: "\telse" }), _jsx(_components.span, { style: { color: "#ECEFF4" }, children: " {" }), _jsx(_components.span, { style: { color: "#616E88" }, children: " // 가장 아래의 원반을 제외한 나머지 원반을 옮기는 경우" })] }), "\n", _jsxs(_components.span, { "data-line": "", children: [_jsx(_components.span, { style: { color: "#88C0D0" }, children: "\t\thanoi" }), _jsx(_components.span, { style: { color: "#ECEFF4" }, children: "(" }), _jsx(_components.span, { style: { color: "#D8DEE9FF" }, children: "n " }), _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: " x" }), _jsx(_components.span, { style: { color: "#ECEFF4" }, children: "," }), _jsx(_components.span, { style: { color: "#B48EAD" }, children: " 6" }), _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: "y" }), _jsx(_components.span, { style: { 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하나를 기준으로 앞뒤가 대칭이다." }), "\n", _jsx(_components.p, { children: _jsx(_components.img, { src: "/generated/posts/algorithm/boj-11729/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 11729 - 하노이 탑 이동 순서