{"id":27861,"date":"2024-10-27T15:20:01","date_gmt":"2024-10-27T15:20:01","guid":{"rendered":"http:\/\/atmokpo.com\/w\/?p=27861"},"modified":"2024-11-26T07:14:22","modified_gmt":"2024-11-26T07:14:22","slug":"%ec%9e%90%eb%b0%94%ec%8a%a4%ed%81%ac%eb%a6%bd%ed%8a%b8-%ec%bd%94%eb%94%a9%ed%85%8c%ec%8a%a4%ed%8a%b8-%ea%b0%95%ec%a2%8c-%ec%b5%9c%ec%86%8c-%ec%8b%a0%ec%9e%a5-%ed%8a%b8%eb%a6%ac-%ea%b5%ac%ed%95%98","status":"publish","type":"post","link":"https:\/\/atmokpo.com\/w\/27861\/","title":{"rendered":"\uc790\ubc14\uc2a4\ud06c\ub9bd\ud2b8 \ucf54\ub529\ud14c\uc2a4\ud2b8 \uac15\uc88c, \ucd5c\uc18c \uc2e0\uc7a5 \ud2b8\ub9ac \uad6c\ud558\uae30"},"content":{"rendered":"<p><body><\/p>\n<p>\uc624\ub298\uc740 \uc54c\uace0\ub9ac\uc998 \ud14c\uc2a4\ud2b8\uc5d0\uc11c \uc790\uc8fc \ub4f1\uc7a5\ud558\ub294 \ubb38\uc81c \uc911 \ud558\ub098\uc778 &#8216;\ucd5c\uc18c \uc2e0\uc7a5 \ud2b8\ub9ac(MST, Minimum Spanning Tree)&#8217;\ub97c \uad6c\ud558\ub294 \ubc29\ubc95\uc5d0 \ub300\ud574 \uc54c\uc544\ubcf4\uaca0\uc2b5\ub2c8\ub2e4. \ud2b9\ud788, \uc790\ubc14\uc2a4\ud06c\ub9bd\ud2b8\ub97c \uc0ac\uc6a9\ud558\uc5ec \uc774 \ubb38\uc81c\ub97c \ud574\uacb0\ud558\ub294 \ubc29\ubc95\uc744 \ub2e8\uacc4\ubcc4\ub85c \uc124\uba85\ud558\ub3c4\ub85d \ud558\uaca0\uc2b5\ub2c8\ub2e4. \uc774 \uac15\uc88c\ub97c \ud1b5\ud574 \uc5ec\ub7ec\ubd84\uc740 \ubaa8\ub4e0 \uac1c\ub150\uc744 \uc774\ud574\ud558\uace0, \uc2e4\uc81c \ucf54\ub529\ud14c\uc2a4\ud2b8\uc5d0\uc11c\ub3c4 \uc790\uc2e0\uc788\uac8c \uc774 \ubb38\uc81c\ub97c \ud574\uacb0\ud560 \uc218 \uc788\ub294 \ub2a5\ub825\uc744 \uae30\ub974\uac8c \ub420 \uac83\uc785\ub2c8\ub2e4.<\/p>\n<h2>1. \ucd5c\uc18c \uc2e0\uc7a5 \ud2b8\ub9ac\ub780?<\/h2>\n<p> \ucd5c\uc18c \uc2e0\uc7a5 \ud2b8\ub9ac\ub294 \uc5f0\uacb0 \uadf8\ub798\ud504\uc5d0\uc11c \uc815\uc810\ub4e4\uc744 \ubaa8\ub450 \ud3ec\ud568\ud558\ub294 \ubd80\ubd84 \uadf8\ub798\ud504\uc774\uba70, \uadf8 \ubd80\ubd84 \uadf8\ub798\ud504\uc758 \uac04\uc120 \ube44\uc6a9\uc758 \ud569\uc774 \ucd5c\uc18c\uac00 \ub418\ub294 \uadf8\ub798\ud504\uc785\ub2c8\ub2e4. \uc989, \ubaa8\ub4e0 \uc815\uc810\uc774 \uc5f0\uacb0\ub418\uc5b4 \uc788\uc73c\uba74\uc11c \ucd5c\uc18c\ud55c\uc758 \ube44\uc6a9\uc73c\ub85c \uc5f0\uacb0\ub41c \ud2b8\ub9ac\ub97c \uc758\ubbf8\ud569\ub2c8\ub2e4. MST\ub294 \ub124\ud2b8\uc6cc\ud06c \uc124\uacc4, \uad50\ud1b5 \uc2dc\uc2a4\ud15c, \ud074\ub7ec\uc2a4\ud130\ub9c1 \ub4f1 \ub2e4\uc591\ud55c \ubd84\uc57c\uc5d0\uc11c \ud65c\uc6a9\ub429\ub2c8\ub2e4.<\/p>\n<h2>2. \ubb38\uc81c \uc124\uba85<\/h2>\n<p>\uc8fc\uc5b4\uc9c4 \uadf8\ub798\ud504\uc758 \uc815\uc810\uacfc \uac04\uc120 \uc815\ubcf4\uac00 \uc788\uc744 \ub54c, \ucd5c\uc18c \uc2e0\uc7a5 \ud2b8\ub9ac\ub97c \uad6c\ud558\uace0 \uadf8 \ucd1d \uac00\uc911\uce58\ub97c \ubc18\ud658\ud558\ub294 \ud568\uc218\ub97c \uc791\uc131\ud558\uc138\uc694.<\/p>\n<h3>\uc785\ub825 \ud615\uc2dd<\/h3>\n<ul>\n<li>\uc815\uc810\uc758 \uac1c\uc218 n (1 \u2264 n \u2264 1000)<\/li>\n<li>\uac04\uc120\uc758 \uac1c\uc218 m (1 \u2264 m \u2264 10000)<\/li>\n<li>\uac01 \uac04\uc120\uc740 (a, b, c)\uc758 \ud615\ud0dc\ub85c \uc8fc\uc5b4\uc9c0\uba70, a\uc640 b\ub294 \uc815\uc810, c\ub294 \uac04\uc120\uc758 \uac00\uc911\uce58\uc785\ub2c8\ub2e4.<\/li>\n<\/ul>\n<h3>\ucd9c\ub825 \ud615\uc2dd<\/h3>\n<p>\ucd5c\uc18c \uc2e0\uc7a5 \ud2b8\ub9ac\uc758 \ucd1d \uac00\uc911\uce58\ub97c \ucd9c\ub825\ud569\ub2c8\ub2e4.<\/p>\n<h3>\uc608\uc2dc<\/h3>\n<pre>\n    \uc785\ub825:\n    4 5\n    1 2 1\n    1 3 4\n    2 3 2\n    1 4 3\n    3 4 5\n\n    \ucd9c\ub825:\n    6\n    <\/pre>\n<h2>3. \uc54c\uace0\ub9ac\uc998 \uc120\ud0dd<\/h2>\n<p>\ucd5c\uc18c \uc2e0\uc7a5 \ud2b8\ub9ac\ub97c \uad6c\ud558\ub294 \ubc29\ubc95\uc5d0\ub294 \uc5ec\ub7ec \uac00\uc9c0\uac00 \uc788\uc2b5\ub2c8\ub2e4. \uadf8 \uc911\uc5d0\uc11c\ub3c4 <strong>\ud06c\ub8e8\uc2a4\uce7c \uc54c\uace0\ub9ac\uc998(Kruskal&#8217;s Algorithm)<\/strong>\uacfc <strong>\ud504\ub9bc \uc54c\uace0\ub9ac\uc998(Prim&#8217;s Algorithm)<\/strong>\uc774 \ub110\ub9ac \uc0ac\uc6a9\ub429\ub2c8\ub2e4. \uc5ec\uae30\uc11c\ub294 \ud06c\ub8e8\uc2a4\uce7c \uc54c\uace0\ub9ac\uc998\uc744 \uc0ac\uc6a9\ud560 \uac83\uc785\ub2c8\ub2e4.<\/p>\n<h3>\ud06c\ub8e8\uc2a4\uce7c \uc54c\uace0\ub9ac\uc998<\/h3>\n<p>\ud06c\ub8e8\uc2a4\uce7c \uc54c\uace0\ub9ac\uc998\uc740 \uac04\uc120\uc744 \uae30\uc900\uc73c\ub85c \uc815\ub82c\ud55c \ud6c4, \uac00\uc7a5 \ub0ae\uc740 \uac00\uc911\uce58\uc758 \uac04\uc120\ubd80\ud130 \uc120\ud0dd\ud558\uc5ec \uc0ac\uc774\ud074\uc744\u5f62\u6210\ud558\uc9c0 \uc54a\ub294 \ud55c\uc5d0\uc11c \ucd5c\uc18c \uc2e0\uc7a5 \ud2b8\ub9ac\ub97c \ub9cc\ub4e4 \uc218 \uc788\ub3c4\ub85d\ud558\ub294 \ubc29\uc2dd\uc785\ub2c8\ub2e4. \uc774 \ubc29\ubc95\uc740 \uc8fc\uc5b4\uc9c4 \uac04\uc120 \ubaa9\ub85d\uc744 \uba3c\uc800 \uc815\ub82c\ud55c \ub4a4, \uac00\uc7a5 \uac00\ubcbc\uc6b4 \uac04\uc120\ubd80\ud130 \ucd94\uac00\ud574 \ub098\uac00\ub294 \ubc29\uc2dd\uc785\ub2c8\ub2e4.<\/p>\n<h2>4. \uc54c\uace0\ub9ac\uc998 \uad6c\ud604<\/h2>\n<p>\uc774\uc81c \ud06c\ub8e8\uc2a4\uce7c \uc54c\uace0\ub9ac\uc998\uc744 \uc774\uc6a9\ud558\uc5ec \ubb38\uc81c\ub97c \ud574\uacb0\ud558\ub294 \uc790\ubc14\uc2a4\ud06c\ub9bd\ud2b8 \ucf54\ub4dc\ub97c \uc791\uc131\ud574 \ubcf4\uaca0\uc2b5\ub2c8\ub2e4. \uc804\uccb4 \ub2e8\uacc4\ub294 \ub2e4\uc74c\uacfc \uac19\uc2b5\ub2c8\ub2e4:<\/p>\n<ol>\n<li>\uac04\uc120 \uc815\ubcf4\ub97c \uc785\ub825\ubc1b\uc740 \ud6c4, \uac00\uc911\uce58 \uae30\uc900\uc73c\ub85c \uc815\ub82c\ud569\ub2c8\ub2e4.<\/li>\n<li>\uc720\ub2c8\uc628-\ud30c\uc778\ub4dc(Union-Find) \uc790\ub8cc\uad6c\uc870\ub97c \ud65c\uc6a9\ud558\uc5ec \uc0ac\uc774\ud074\uc774 \ud615\uc131\ub418\uc9c0 \uc54a\ub3c4\ub85d \uac04\uc120\uc744 \ud3ec\ud568\ud569\ub2c8\ub2e4.<\/li>\n<li>\ubaa8\ub4e0 \uac04\uc120\uc744 \ucc98\ub9ac\ud55c \ud6c4, \ucd5c\uc18c \uc2e0\uc7a5 \ud2b8\ub9ac\uc758 \ucd1d \uac00\uc911\uce58\ub97c \uacc4\uc0b0\ud558\uc5ec \ubc18\ud658\ud569\ub2c8\ub2e4.<\/li>\n<\/ol>\n<h3>\ucf54\ub4dc \uad6c\ud604<\/h3>\n<pre>\n    <code>\n    function find(parent, i) {\n        if (parent[i] === -1) {\n            return i;\n        }\n        return find(parent, parent[i]);\n    }\n\n    function union(parent, x, y) {\n        const xset = find(parent, x);\n        const yset = find(parent, y);\n        parent[xset] = yset;\n    }\n\n    function kruskal(n, edges) {\n        edges.sort((a, b) =&gt; a[2] - b[2]); \/\/ \uac04\uc120 \uac00\uc911\uce58 \uae30\uc900\uc73c\ub85c \uc815\ub82c\n        let parent = Array(n + 1).fill(-1);\n        let minWeight = 0;\n        const mst = [];\n\n        for (let i = 0; i &lt; edges.length; i++) {\n            const [u, v, weight] = edges[i];\n\n            if (find(parent, u) !== find(parent, v)) {\n                union(parent, u, v);\n                minWeight += weight;\n                mst.push([u, v, weight]);\n            }\n        }\n\n        return { minWeight, mst };\n    }\n\n    \/\/ \uc608\uc2dc \uc785\ub825 \ub370\uc774\ud130\n    const n = 4;\n    const edges = [\n        [1, 2, 1],\n        [1, 3, 4],\n        [2, 3, 2],\n        [1, 4, 3],\n        [3, 4, 5]\n    ];\n\n    const result = kruskal(n, edges);\n    console.log(\"\ucd5c\uc18c \uc2e0\uc7a5 \ud2b8\ub9ac\uc758 \ucd1d \uac00\uc911\uce58:\", result.minWeight);\n    <\/code>\n    <\/pre>\n<h2>5. \ucf54\ub4dc \ud574\uc124<\/h2>\n<p>\uc704 \ucf54\ub4dc\ub294 \ud06c\ub8e8\uc2a4\uce7c \uc54c\uace0\ub9ac\uc998\uc744 \uc0ac\uc6a9\ud558\uc5ec \uc8fc\uc5b4\uc9c4 \uadf8\ub798\ud504\uc758 \ucd5c\uc18c \uc2e0\uc7a5 \ud2b8\ub9ac\ub97c \uad6c\ud558\ub294 \ud568\uc218\uc785\ub2c8\ub2e4. \ub2e4\uc74c\uacfc \uac19\uc740 \uc8fc\uc694 \ubd80\ubd84\uc73c\ub85c \ub098\ub269\ub2c8\ub2e4:<\/p>\n<h3>5.1. \uc720\ub2c8\uc628-\ud30c\uc778\ub4dc \ud568\uc218<\/h3>\n<p>\uc720\ub2c8\uc628-\ud30c\uc778\ub4dc(Union-Find) \uc790\ub8cc\uad6c\uc870\ub294 \uadf8\ub798\ud504\uc758 \uc5f0\uacb0 \uc131\ubd84\uc744 \ucd94\uc801\ud558\ub294 \ub370 \uc0ac\uc6a9\ub429\ub2c8\ub2e4. \uac01 \ub178\ub4dc\ub294 \uc790\uc2e0\uc758 \ubd80\ubaa8\ub97c \uac00\uc9c0\uace0 \uc788\uc2b5\ub2c8\ub2e4. <code>find<\/code> \ud568\uc218\ub294 \ub178\ub4dc\uac00 \uc18d\ud55c \uc9d1\ud569\uc758 \ub300\ud45c\uc790\ub97c \ucc3e\uace0, <code>union<\/code> \ud568\uc218\ub294 \ub450 \uc9d1\ud569\uc744 \ud569\uce69\ub2c8\ub2e4.<\/p>\n<h3>5.2. \uac04\uc120 \uc815\ub82c<\/h3>\n<p>\uac04\uc120 \ubaa9\ub85d\uc744 \uac00\uc911\uce58 \uae30\uc900\uc73c\ub85c \uc815\ub82c\ud558\uc5ec \ucd5c\uc18c \uac00\uc911\uce58\uc758 \uac04\uc120\ubd80\ud130 \uc120\ud0dd\ud560 \uc218 \uc788\ub3c4\ub85d \ud569\ub2c8\ub2e4. \uc790\ubc14\uc2a4\ud06c\ub9bd\ud2b8\uc758 <code>sort<\/code> \uba54\uc11c\ub4dc\ub97c \uc0ac\uc6a9\ud558\uc5ec \uac04\ub2e8\ud788 \uc815\ub82c\ud560 \uc218 \uc788\uc2b5\ub2c8\ub2e4.<\/p>\n<h3>5.3. \ucd5c\uc18c \uc2e0\uc7a5 \ud2b8\ub9ac \uad6c\uc131<\/h3>\n<p>\uac01 \uac04\uc120\uc5d0 \ub300\ud574 \ub450 \ub178\ub4dc\uc758 \ubd80\ubaa8\ub97c \ud655\uc778\ud558\uc5ec \uc0ac\uc774\ud074\uc774 \uc0dd\uae30\uc9c0 \uc54a\ub294 \uacbd\uc6b0\uc5d0\ub9cc \uadf8 \uac04\uc120\uc744 \uc120\ud0dd\ud569\ub2c8\ub2e4. \uc120\ud0dd\ub41c \uac04\uc120\uc740 <code>mst<\/code> \ubc30\uc5f4\uc5d0 \uc800\uc7a5\ub418\uba70, \uac00\uc911\uce58\uc758 \ud569\uc740 <code>minWeight<\/code> \ubcc0\uc218\uc5d0 \uc99d\uac00\ud569\ub2c8\ub2e4.<\/p>\n<h2>6. \uc131\ub2a5 \ubd84\uc11d<\/h2>\n<p>\ud06c\ub8e8\uc2a4\uce7c \uc54c\uace0\ub9ac\uc998\uc758 \uc2dc\uac04 \ubcf5\uc7a1\ub3c4\ub294 O(E log E)\uc785\ub2c8\ub2e4. \uc5ec\uae30\uc11c E\ub294 \uac04\uc120\uc758 \uc218\uc785\ub2c8\ub2e4. \uc8fc\uc5b4\uc9c4 \ubb38\uc81c\uc758 \uc81c\uc57d \uc0ac\ud56d \ud558\uc5d0\uc11c \uc774 \uc54c\uace0\ub9ac\uc998\uc740 \ud6a8\uc728\uc801\uc785\ub2c8\ub2e4. \uc720\ub2c8\uc628-\ud30c\uc778\ub4dc\uc758 \uacbd\ub85c \uc555\ucd95 \uae30\ubc95\uc744 \uc0ac\uc6a9\ud560 \uacbd\uc6b0 \ucd94\uac00\uc801\uc778 \uc131\ub2a5 \ud5a5\uc0c1\uc744 \uae30\ub300\ud560 \uc218 \uc788\uc2b5\ub2c8\ub2e4.<\/p>\n<h2>7. \ub9c8\ubb34\ub9ac<\/h2>\n<p>\uc774\ubc88 \uac15\uc88c\uc5d0\uc11c\ub294 \uc790\ubc14\uc2a4\ud06c\ub9bd\ud2b8\ub97c \uc0ac\uc6a9\ud558\uc5ec \ucd5c\uc18c \uc2e0\uc7a5 \ud2b8\ub9ac\ub97c \uad6c\ud558\ub294 \ud06c\ub8e8\uc2a4\uce7c \uc54c\uace0\ub9ac\uc998\uc5d0 \ub300\ud574 \uc54c\uc544\ubcf4\uace0, \ubb38\uc81c\ub97c \ud574\uacb0\ud558\ub294 \ubc29\ubc95\uc5d0 \ub300\ud574 \uc0c1\uc138\ud788 \uc124\uba85\ud558\uc600\uc2b5\ub2c8\ub2e4. \uadf8\ub798\ud504 \ubb38\uc81c\ub4e4\uc740 \uc54c\uace0\ub9ac\uc998 \uacbd\uc9c4\ub300\ud68c \ubc0f \uc5ec\ub7ec \ucf54\ub529 \ud14c\uc2a4\ud2b8\uc5d0\uc11c \ube48\ubc88\ud788 \ucd9c\uc81c\ub418\ubbc0\ub85c, \uc5ec\ub7ec\ubd84\uc774 \uc775\ud600\ub450\uba74 \ub9ce\uc740 \ub3c4\uc6c0\uc774 \ub420 \uac83\uc785\ub2c8\ub2e4. \ub2e4\uc74c\uc5d0\ub294 \ub2e4\ub978 \uc54c\uace0\ub9ac\uc998\uc774\ub098 \ub370\uc774\ud130 \uad6c\uc870\ub97c \ud65c\uc6a9\ud558\uc5ec \ub2e4\uc591\ud55c \ubb38\uc81c\ub97c \ud568\uaed8 \ud480\uc5b4\ubcf4\ub3c4\ub85d \ud558\uaca0\uc2b5\ub2c8\ub2e4.<\/p>\n<h2>8. \uc5f0\uc2b5 \ubb38\uc81c<\/h2>\n<p>\uc544\ub798\uc758 \ubb38\uc81c\ub97c \ud480\uc5b4\ubcf4\uc138\uc694. \ubb38\uc81c\ub97c \ud574\uacb0\ud55c \ud6c4\uc5d0 \uc790\uc2e0\uc758 \ucf54\ub4dc\ub97c \ub9ac\ubdf0\ud558\uc5ec \ucd5c\uc801\ud654\ud560 \uc218 \uc788\ub294 \ubd80\ubd84\uc774 \uc788\ub294\uc9c0 \uc810\uac80\ud574 \ubcf4\uc138\uc694.<\/p>\n<blockquote><p>\uc8fc\uc5b4\uc9c4 \uadf8\ub798\ud504\uc5d0\uc11c \ucd5c\uc18c \uc2e0\uc7a5 \ud2b8\ub9ac\uc758 \uac04\uc120\uc744 \ucd94\ucd9c\ud55c \ud6c4, \uc774 \uac04\uc120\uc758 \uac00\uc911\uce58 \ubaa9\ub85d\uacfc \ud568\uaed8 \ucd9c\ub825\ud558\ub294 \uc54c\uace0\ub9ac\uc998\uc744 \uc791\uc131\ud558\uc138\uc694.<\/p><\/blockquote>\n<h2>9. \ucc38\uace0 \uc790\ub8cc<\/h2>\n<ul>\n<li><a href=\"https:\/\/en.wikipedia.org\/wiki\/Minimum_spanning_tree\">\ucd5c\uc18c \uc2e0\uc7a5 \ud2b8\ub9ac &#8211; \uc704\ud0a4\ubc31\uacfc<\/a><\/li>\n<li><a href=\"https:\/\/www.geeksforgeeks.org\/minimum-spanning-tree-greedy-2\/\">GeeksforGeeks: Minimum Spanning Tree<\/a><\/li>\n<li><a href=\"https:\/\/visualgo.net\/en\/mst\">Visualgo: Minimum Spanning Tree<\/a><\/li>\n<\/ul>\n<p><\/body><\/p>\n","protected":false},"excerpt":{"rendered":"<p>\uc624\ub298\uc740 \uc54c\uace0\ub9ac\uc998 \ud14c\uc2a4\ud2b8\uc5d0\uc11c \uc790\uc8fc \ub4f1\uc7a5\ud558\ub294 \ubb38\uc81c \uc911 \ud558\ub098\uc778 &#8216;\ucd5c\uc18c \uc2e0\uc7a5 \ud2b8\ub9ac(MST, Minimum Spanning Tree)&#8217;\ub97c \uad6c\ud558\ub294 \ubc29\ubc95\uc5d0 \ub300\ud574 \uc54c\uc544\ubcf4\uaca0\uc2b5\ub2c8\ub2e4. \ud2b9\ud788, \uc790\ubc14\uc2a4\ud06c\ub9bd\ud2b8\ub97c \uc0ac\uc6a9\ud558\uc5ec \uc774 \ubb38\uc81c\ub97c \ud574\uacb0\ud558\ub294 \ubc29\ubc95\uc744 \ub2e8\uacc4\ubcc4\ub85c \uc124\uba85\ud558\ub3c4\ub85d \ud558\uaca0\uc2b5\ub2c8\ub2e4. \uc774 \uac15\uc88c\ub97c \ud1b5\ud574 \uc5ec\ub7ec\ubd84\uc740 \ubaa8\ub4e0 \uac1c\ub150\uc744 \uc774\ud574\ud558\uace0, \uc2e4\uc81c \ucf54\ub529\ud14c\uc2a4\ud2b8\uc5d0\uc11c\ub3c4 \uc790\uc2e0\uc788\uac8c \uc774 \ubb38\uc81c\ub97c \ud574\uacb0\ud560 \uc218 \uc788\ub294 \ub2a5\ub825\uc744 \uae30\ub974\uac8c \ub420 \uac83\uc785\ub2c8\ub2e4. 1. \ucd5c\uc18c \uc2e0\uc7a5 \ud2b8\ub9ac\ub780? \ucd5c\uc18c \uc2e0\uc7a5 \ud2b8\ub9ac\ub294 \uc5f0\uacb0 &hellip; <a href=\"https:\/\/atmokpo.com\/w\/27861\/\" class=\"more-link\">\ub354 \ubcf4\uae30<span 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