{"id":28482,"date":"2024-10-27T16:11:35","date_gmt":"2024-10-27T16:11:35","guid":{"rendered":"http:\/\/atmokpo.com\/w\/?p=28482"},"modified":"2024-11-26T07:02:12","modified_gmt":"2024-11-26T07:02:12","slug":"%ec%bd%94%ed%8b%80%eb%a6%b0-%ec%bd%94%eb%94%a9%ed%85%8c%ec%8a%a4%ed%8a%b8-%ea%b0%95%ec%a2%8c-%ec%84%b8%ec%9d%bc%ec%a6%88%eb%a7%a8%ec%9d%98-%ea%b3%a0%eb%af%bc","status":"publish","type":"post","link":"https:\/\/atmokpo.com\/w\/28482\/","title":{"rendered":"\ucf54\ud2c0\ub9b0 \ucf54\ub529\ud14c\uc2a4\ud2b8 \uac15\uc88c, \uc138\uc77c\uc988\ub9e8\uc758 \uace0\ubbfc"},"content":{"rendered":"<p><body><\/p>\n<h2>\ubb38\uc81c \uc124\uba85<\/h2>\n<p>\n        \uc138\uc77c\uc988\ub9e8\uc774 \uc5ec\ub7ec \ub3c4\uc2dc\ub97c \ub3cc\uba70 \uace0\uac1d\uc744 \ubc29\ubb38\ud574\uc57c \ud569\ub2c8\ub2e4. \uc138\uc77c\uc988\ub9e8\uc740 \uac01 \ub3c4\uc2dc\uc5d0\uc11c \uc0c1\ud488\uc744 \ud310\ub9e4\ud560 \uc218 \uc788\uc73c\uba70, \uac01 \ub3c4\uc2dc\ub294 \uc11c\ub85c \ub2e4\ub978 \uac70\ub9ac\uc5d0 \uc704\uce58\ud558\uace0 \uc788\uc2b5\ub2c8\ub2e4. \uc138\uc77c\uc988\ub9e8\uc758 \ubaa9\ud45c\ub294 \ubaa8\ub4e0 \ub3c4\uc2dc\ub97c \uc21c\ud68c\ud558\uc5ec \ucc98\uc74c \ucd9c\ubc1c\ud55c \ub3c4\uc2dc\ub85c \ub3cc\uc544\uc624\ub294 \ucd5c\uc18c\uc758 \ube44\uc6a9\uc744 \uacc4\uc0b0\ud558\ub294 \uac83\uc785\ub2c8\ub2e4. \uc774 \ubb38\uc81c\ub294 \uc720\uba85\ud55c &#8220;\uc678\ud310\uc6d0 \ubb38\uc81c(Traveling Salesman Problem, TSP)&#8221;\ub85c \uc54c\ub824\uc838 \uc788\uc73c\uba70, NP-\uc644\uc804 \ubb38\uc81c \uc911 \ud558\ub098\uc785\ub2c8\ub2e4.\n    <\/p>\n<h3>\ubb38\uc81c \uc124\uba85\uc744 \uc704\ud55c \uc608\uc2dc<\/h3>\n<p>\n        \ub2e4\uc74c\uacfc \uac19\uc774 4\uac1c\uc758 \ub3c4\uc2dc\uac00 \uc788\ub2e4\uace0 \uac00\uc815\ud574 \ubcf4\uaca0\uc2b5\ub2c8\ub2e4:\n    <\/p>\n<ul>\n<li>\ub3c4\uc2dc A &#8211; (0, 0)<\/li>\n<li>\ub3c4\uc2dc B &#8211; (1, 2)<\/li>\n<li>\ub3c4\uc2dc C &#8211; (4, 3)<\/li>\n<li>\ub3c4\uc2dc D &#8211; (7, 7)<\/li>\n<\/ul>\n<p>\n        \uc774 \uacbd\uc6b0 \uc138\uc77c\uc988\ub9e8\uc740 A, B, C, D \ub3c4\uc2dc\ub97c \ubaa8\ub450 \ubc29\ubb38\ud558\uace0 \ub2e4\uc2dc A\ub85c \ub3cc\uc544\uc624\ub294 \ucd5c\uc18c \uacbd\ub85c\uc758 \uac70\ub9ac\ub97c \ucc3e\uc544\uc57c \ud569\ub2c8\ub2e4.\n    <\/p>\n<h2>\ubb38\uc81c \uc811\uadfc \ubc29\ubc95<\/h2>\n<p>\n        \uc774 \ubb38\uc81c\ub97c \ud574\uacb0\ud558\uae30 \uc704\ud574 \uc5ec\ub7ec \uc811\uadfc \ubc29\uc2dd\uc774 \uc788\uc9c0\ub9cc, \uc8fc\ub85c \uc0ac\uc6a9\ud558\ub294 \ubc29\ubc95\uc740 \ub3d9\uc801 \ud504\ub85c\uadf8\ub798\ubc0d(Dynamic Programming)\uc785\ub2c8\ub2e4. \ub3d9\uc801 \ud504\ub85c\uadf8\ub798\ubc0d\uc744 \uc0ac\uc6a9\ud558\uc5ec \ubaa8\ub4e0 \ub3c4\uc2dc\ub97c \ud0d0\uc0c9\ud558\ub294 \uac83\uc744 \ucd5c\uc801\ud654\ud560 \uc218 \uc788\uc2b5\ub2c8\ub2e4.\n    <\/p>\n<h3>1. \ube44\ud2b8 \ub9c8\uc2a4\ud0b9\uc744 \uc774\uc6a9\ud55c \ub3d9\uc801 \ud504\ub85c\uadf8\ub798\ubc0d<\/h3>\n<p>\n        \ube44\ud2b8 \ub9c8\uc2a4\ud0b9\uc744 \uc0ac\uc6a9\ud558\uba74 \uac01 \ub3c4\uc2dc\uc758 \ubc29\ubb38 \uc5ec\ubd80\ub97c \ube44\ud2b8\ub85c \ud45c\ud604\ud560 \uc218 \uc788\uc2b5\ub2c8\ub2e4. \uc608\ub97c \ub4e4\uc5b4, 4\uac1c\uc758 \ub3c4\uc2dc\uc5d0 \ub300\ud55c \ube44\ud2b8 \ud45c\ud604\uc740 0000(\uc544\ubb34 \ub3c4\uc2dc\ub3c4 \ubc29\ubb38\ud558\uc9c0 \uc54a\uc74c)\ubd80\ud130 1111(\ubaa8\ub4e0 \ub3c4\uc2dc\ub97c \ubc29\ubb38\ud568)\uae4c\uc9c0\uc758 \uac12\uc73c\ub85c \ud45c\ud604\ub420 \uc218 \uc788\uc2b5\ub2c8\ub2e4. \uac01 \ube44\ud2b8\uc758 1\uc740 \ud574\ub2f9 \ub3c4\uc2dc\uac00 \ubc29\ubb38\ub418\uc5c8\uc74c\uc744 \uc758\ubbf8\ud569\ub2c8\ub2e4.\n    <\/p>\n<h3>2. \ub3d9\uc801 \ud504\ub85c\uadf8\ub798\ubc0d \uc0c1\ud0dc \uc815\uc758<\/h3>\n<p>\n        DP \ud14c\uc774\ube14\uc744 \uc815\uc758\ud569\uc2dc\ub2e4. dp[mask][i]\ub294 \ubc29\ubb38\ud55c \ub3c4\uc2dc\ub97c \ub098\ud0c0\ub0b4\ub294 \ube44\ud2b8 \ub9c8\uc2a4\ud06c\uac00 mask\uc77c \ub54c \ub3c4\uc2dc i\uc5d0 \ub3c4\ucc29\ud558\uae30 \uc704\ud55c \ucd5c\uc18c \ube44\uc6a9\uc744 \uc758\ubbf8\ud569\ub2c8\ub2e4. \ucd08\uae30 \uc0c1\ud0dc\ub294 dp[1&lt;<i][i] (\uac01=\"\" 0\uc785\ub2c8\ub2e4.=\"\" 0\uc785\ub2c8\ub2e4.)=\"\" <=\"\" ==\"\" i\uc5d0=\"\" p=\"\" \ub300\ud574=\"\" \ub3c4\uc2dc=\"\" \ubc29\ubb38\ud558\ub294=\"\" \ube44\uc6a9\uc740=\"\" \uc2a4\uc2a4\ub85c=\"\"><\/p>\n<h3>3. \uc810\ud654\uc2dd \uc815\uc758<\/h3>\n<p>\n        \uc810\ud654\uc2dd\uc740 \ub2e4\uc74c\uacfc \uac19\uc2b5\ub2c8\ub2e4:\n    <\/p>\n<p>\n        dp[mask][i] = min(dp[mask ^ (1 &lt;&lt; i)][j] + dist[j][i]) for all j where j is in mask and j != i\n    <\/p>\n<p>\n        \uc774 \uc810\ud654\uc2dd\uc740 \ud604\uc7ac \ub3c4\uc2dc i\uc5d0\uc11c \ube44\ud2b8 \ub9c8\uc2a4\ud06c\uac00 mask\uc778 \uc0c1\ud0dc\uc5d0\uc11c \uc774\uc804\uc5d0 \ubc29\ubb38\ud55c \ub3c4\uc2dc j\uc5d0\uc11c \uc624\ub294 \ucd5c\uc801 \ube44\uc6a9\uc744 \uacc4\uc0b0\ud558\ub294 \uacfc\uc815\uc785\ub2c8\ub2e4.\n    <\/p>\n<h2>\ucf54\ub4dc \uad6c\ud604<\/h2>\n<p>\n        \uc54c\uace0\ub9ac\uc998\uc744 \ucf54\ud2c0\ub9b0\uc73c\ub85c \uad6c\ud604\ud574 \ubcf4\uaca0\uc2b5\ub2c8\ub2e4.\n    <\/p>\n<pre>\n        <code>\n        fun main() {\n            val cities = arrayOf(\n                Pair(0, 0),\n                Pair(1, 2),\n                Pair(4, 3),\n                Pair(7, 7)\n            )\n            val n = cities.size\n            val dist = Array(n) { IntArray(n) }\n            \n            \/\/ \uac70\ub9ac \uacc4\uc0b0\n            for (i in 0 until n) {\n                for (j in 0 until n) {\n                    dist[i][j] = manhattanDistance(cities[i], cities[j])\n                }\n            }\n\n            \/\/ DP \ubc30\uc5f4 \ucd08\uae30\ud654\n            val dp = Array(1 shl n) { IntArray(n) { Int.MAX_VALUE } }\n\n            for (i in 0 until n) {\n                dp[1 shl i][i] = 0\n            }\n\n            \/\/ DP \ucc98\ub9ac\n            for (mask in 1 until (1 shl n)) {\n                for (i in 0 until n) {\n                    if (mask and (1 shl i) == 0) continue\n                    for (j in 0 until n) {\n                        if (mask and (1 shl j) == 0 || i == j) continue\n                        dp[mask][i] = minOf(dp[mask][i], dp[mask xor (1 shl i)][j] + dist[j][i])\n                    }\n                }\n            }\n\n            \/\/ \ucd5c\uc18c \ube44\uc6a9 \uacc4\uc0b0\n            var minCost = Int.MAX_VALUE\n            \n            for (i in 0 until n) {\n                minCost = minOf(minCost, dp[(1 shl n) - 1][i] + dist[i][0])\n            }\n            println(\"\ucd5c\uc18c \ube44\uc6a9: $minCost\")\n        }\n\n        fun manhattanDistance(city1: Pair<int, int=\"\">, city2: Pair<int, int=\"\">): Int {\n            return Math.abs(city1.first - city2.first) + Math.abs(city1.second - city2.second)\n        }\n        <\/int,><\/int,><\/code>\n    <\/pre>\n<h2>\ucf54\ub4dc \uc124\uba85<\/h2>\n<p>\n        \uc704\uc758 \ucf54\ub4dc\ub294 \ub2e4\uc74c\uacfc \uac19\uc740 \uacfc\uc815\uc744 \uac70\uccd0 \ub3d9\uc801 \ud504\ub85c\uadf8\ub798\ubc0d\uc744 \ud1b5\ud574 \ucd5c\uc801 \uacbd\ub85c\uc758 \ube44\uc6a9\uc744 \uacc4\uc0b0\ud569\ub2c8\ub2e4:\n    <\/p>\n<ol>\n<li><strong>\uac70\ub9ac \uacc4\uc0b0:<\/strong> \ub450 \ub3c4\uc2dc \uac04\uc758 \ub9e8\ud574\ud2bc \uac70\ub9ac\ub97c \uacc4\uc0b0\ud569\ub2c8\ub2e4.<\/li>\n<li><strong>DP \ucd08\uae30\ud654:<\/strong> \ubaa8\ub4e0 \ub3c4\uc2dc\ub97c \ubc29\ubb38\ud558\uc9c0 \uc54a\uc740 \uc0c1\ud0dc\uc5d0\uc11c\uc758 \ucd08\uae30 DP \ubc30\uc5f4\uc744 \uc124\uc815\ud569\ub2c8\ub2e4.<\/li>\n<li><strong>DP \ucc98\ub9ac:<\/strong> \ube44\ud2b8 \ub9c8\uc2a4\ud06c\uc640 \ud604\uc7ac \ub3c4\uc2dc\ub97c \uae30\ubc18\uc73c\ub85c \ucd5c\uc801 \ube44\uc6a9\uc744 \uacc4\uc0b0\ud569\ub2c8\ub2e4.<\/li>\n<li><strong>\ucd5c\uc18c \ube44\uc6a9 \uacc4\uc0b0:<\/strong> \ubaa8\ub4e0 \ub3c4\uc2dc\ub97c \ubc29\ubb38\ud55c \ud6c4 \ub3cc\uc544\uc62c \ub54c\uc758 \ucd5c\uc18c \ube44\uc6a9\uc744 \uacc4\uc0b0\ud569\ub2c8\ub2e4.<\/li>\n<\/ol>\n<h2>\ubcf5\uc7a1\ub3c4 \ubd84\uc11d<\/h2>\n<p>\n        \uc774 \uc54c\uace0\ub9ac\uc998\uc758 \uc2dc\uac04 \ubcf5\uc7a1\ub3c4\ub294 O(n^2 * 2^n)\uc785\ub2c8\ub2e4. \uc774\ub294 n\uc774 \uc791\uc744 \ub54c \uc720\ud6a8\ud558\uac8c \uc791\ub3d9\ud558\uc9c0\ub9cc, n\uc774 \ucee4\uc9c8\uc218\ub85d \uc131\ub2a5 \uc800\ud558\uac00 \uae09\uaca9\ud788 \ubc1c\uc0dd\ud569\ub2c8\ub2e4. \ub530\ub77c\uc11c, \uc774 \ubb38\uc81c\ub294 \ub300\uaddc\ubaa8 \uc785\ub825\uc5d0\uc11c\ub294 \ube44\ud6a8\uc728\uc801\uc77c \uc218 \uc788\uc5b4, \ub2e4\uc591\ud55c \ucd5c\uc801\ud654 \uae30\ubc95\uc774 \ud544\uc694\ud560 \uc218 \uc788\uc2b5\ub2c8\ub2e4.\n    <\/p>\n<h2>\uacb0\ub860<\/h2>\n<p>\n        &#8220;\uc138\uc77c\uc988\ub9e8\uc758 \uace0\ubbfc&#8221; \ubb38\uc81c\ub294 \ucf54\ub529 \ud14c\uc2a4\ud2b8\uc5d0\uc11c \uc790\uc8fc \ub4f1\uc7a5\ud558\ub294 \uc54c\uace0\ub9ac\uc998 \ubb38\uc81c \uc911 \ud558\ub098\uc785\ub2c8\ub2e4. \uc774 \ubb38\uc81c\ub97c \ud1b5\ud574 \ub3d9\uc801 \ud504\ub85c\uadf8\ub798\ubc0d \ubc0f \ube44\ud2b8 \ub9c8\uc2a4\ud0b9\uc758 \uc911\uc694\uc131\uc744 \uc774\ud574\ud558\uace0 \uc2e4\uc81c\ub85c \ucf54\ud2c0\ub9b0\uc744 \uc0ac\uc6a9\ud558\uc5ec \ud574\uacb0\ud558\ub294 \ubc29\ubc95\uc744 \ubc30\uc6b8 \uc218 \uc788\uc2b5\ub2c8\ub2e4. \ucd5c\uc801\ud654 \ubc0f \uae30\ud0c0 \uae30\ubc95\uc5d0 \ub300\ud574 \uae4a\uc774 \uc788\ub294 \ucd94\uac00 \ud559\uc2b5\uc744 \ud1b5\ud574 \ub354 \ubcf5\uc7a1\ud55c \ubb38\uc81c\ub97c \ud574\uacb0\ud560 \uc218 \uc788\ub294 \ub2a5\ub825\uc744 \ud0a4\uc6b0\ub294 \uac83\uc774 \uc88b\uc2b5\ub2c8\ub2e4.\n    <\/p>\n<p><\/i][i]><\/p>\n<p><\/body><\/p>\n","protected":false},"excerpt":{"rendered":"<p>\ubb38\uc81c \uc124\uba85 \uc138\uc77c\uc988\ub9e8\uc774 \uc5ec\ub7ec \ub3c4\uc2dc\ub97c \ub3cc\uba70 \uace0\uac1d\uc744 \ubc29\ubb38\ud574\uc57c \ud569\ub2c8\ub2e4. \uc138\uc77c\uc988\ub9e8\uc740 \uac01 \ub3c4\uc2dc\uc5d0\uc11c \uc0c1\ud488\uc744 \ud310\ub9e4\ud560 \uc218 \uc788\uc73c\uba70, \uac01 \ub3c4\uc2dc\ub294 \uc11c\ub85c \ub2e4\ub978 \uac70\ub9ac\uc5d0 \uc704\uce58\ud558\uace0 \uc788\uc2b5\ub2c8\ub2e4. \uc138\uc77c\uc988\ub9e8\uc758 \ubaa9\ud45c\ub294 \ubaa8\ub4e0 \ub3c4\uc2dc\ub97c \uc21c\ud68c\ud558\uc5ec \ucc98\uc74c \ucd9c\ubc1c\ud55c \ub3c4\uc2dc\ub85c \ub3cc\uc544\uc624\ub294 \ucd5c\uc18c\uc758 \ube44\uc6a9\uc744 \uacc4\uc0b0\ud558\ub294 \uac83\uc785\ub2c8\ub2e4. \uc774 \ubb38\uc81c\ub294 \uc720\uba85\ud55c &#8220;\uc678\ud310\uc6d0 \ubb38\uc81c(Traveling Salesman Problem, TSP)&#8221;\ub85c \uc54c\ub824\uc838 \uc788\uc73c\uba70, NP-\uc644\uc804 \ubb38\uc81c \uc911 \ud558\ub098\uc785\ub2c8\ub2e4. \ubb38\uc81c \uc124\uba85\uc744 \uc704\ud55c \uc608\uc2dc \ub2e4\uc74c\uacfc &hellip; <a href=\"https:\/\/atmokpo.com\/w\/28482\/\" class=\"more-link\">\ub354 \ubcf4\uae30<span class=\"screen-reader-text\"> &#8220;\ucf54\ud2c0\ub9b0 \ucf54\ub529\ud14c\uc2a4\ud2b8 \uac15\uc88c, \uc138\uc77c\uc988\ub9e8\uc758 \uace0\ubbfc&#8221;<\/span><\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_jetpack_memberships_contains_paid_content":false,"footnotes":""},"categories":[28],"tags":[],"class_list":["post-28482","post","type-post","status-publish","format-standard","hentry","category-28"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v26.2 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>\ucf54\ud2c0\ub9b0 \ucf54\ub529\ud14c\uc2a4\ud2b8 \uac15\uc88c, \uc138\uc77c\uc988\ub9e8\uc758 \uace0\ubbfc - \ub77c\uc774\ube0c\uc2a4\ub9c8\ud2b8<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/atmokpo.com\/w\/28482\/\" \/>\n<meta property=\"og:locale\" content=\"ko_KR\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"\ucf54\ud2c0\ub9b0 \ucf54\ub529\ud14c\uc2a4\ud2b8 \uac15\uc88c, \uc138\uc77c\uc988\ub9e8\uc758 \uace0\ubbfc - \ub77c\uc774\ube0c\uc2a4\ub9c8\ud2b8\" \/>\n<meta property=\"og:description\" content=\"\ubb38\uc81c \uc124\uba85 \uc138\uc77c\uc988\ub9e8\uc774 \uc5ec\ub7ec \ub3c4\uc2dc\ub97c \ub3cc\uba70 \uace0\uac1d\uc744 \ubc29\ubb38\ud574\uc57c \ud569\ub2c8\ub2e4. \uc138\uc77c\uc988\ub9e8\uc740 \uac01 \ub3c4\uc2dc\uc5d0\uc11c \uc0c1\ud488\uc744 \ud310\ub9e4\ud560 \uc218 \uc788\uc73c\uba70, \uac01 \ub3c4\uc2dc\ub294 \uc11c\ub85c \ub2e4\ub978 \uac70\ub9ac\uc5d0 \uc704\uce58\ud558\uace0 \uc788\uc2b5\ub2c8\ub2e4. \uc138\uc77c\uc988\ub9e8\uc758 \ubaa9\ud45c\ub294 \ubaa8\ub4e0 \ub3c4\uc2dc\ub97c \uc21c\ud68c\ud558\uc5ec \ucc98\uc74c \ucd9c\ubc1c\ud55c \ub3c4\uc2dc\ub85c \ub3cc\uc544\uc624\ub294 \ucd5c\uc18c\uc758 \ube44\uc6a9\uc744 \uacc4\uc0b0\ud558\ub294 \uac83\uc785\ub2c8\ub2e4. \uc774 \ubb38\uc81c\ub294 \uc720\uba85\ud55c &#8220;\uc678\ud310\uc6d0 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