{"id":27825,"date":"2024-10-27T15:19:37","date_gmt":"2024-10-27T15:19:37","guid":{"rendered":"http:\/\/atmokpo.com\/w\/?p=27825"},"modified":"2024-11-26T07:14:41","modified_gmt":"2024-11-26T07:14:41","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-%ed%94%8c%eb%a1%9c%ec%9d%b4%eb%93%9c-%ec%9b%8c%ec%85%9c","status":"publish","type":"post","link":"https:\/\/atmokpo.com\/w\/27825\/","title":{"rendered":"\uc790\ubc14\uc2a4\ud06c\ub9bd\ud2b8 \ucf54\ub529\ud14c\uc2a4\ud2b8 \uac15\uc88c, \ud50c\ub85c\uc774\ub4dc-\uc6cc\uc15c"},"content":{"rendered":"<article>\n<header>\n<p>\uc791\uc131\uc790: \uc870\uad11\ud615<\/p>\n<p>\uc791\uc131\uc77c: 2024\ub144 11\uc6d4 26\uc77c<\/p>\n<\/header>\n<section>\n<h2>\ubaa9\ucc28<\/h2>\n<ol>\n<li><a href=\"#intro\">1. \uc18c\uac1c<\/a><\/li>\n<li><a href=\"#problem\">2. \ubb38\uc81c \uc124\uba85<\/a><\/li>\n<li><a href=\"#floyd\">3. \ud50c\ub85c\uc774\ub4dc-\uc6cc\uc15c \uc54c\uace0\ub9ac\uc998 \uc774\ud574<\/a><\/li>\n<li><a href=\"#implementation\">4. \uc790\ubc14\uc2a4\ud06c\ub9bd\ud2b8 \uad6c\ud604<\/a><\/li>\n<li><a href=\"#complexity\">5. \uc2dc\uac04 \ubcf5\uc7a1\ub3c4<\/a><\/li>\n<li><a href=\"#conclusion\">6. \uacb0\ub860<\/a><\/li>\n<\/ol>\n<\/section>\n<section id=\"intro\">\n<h2>1. \uc18c\uac1c<\/h2>\n<p>\ucf54\ub529\ud14c\uc2a4\ud2b8\uc5d0\uc11c \uc54c\uace0\ub9ac\uc998 \ubb38\uc81c\ub294 \ube48\ubc88\ud558\uac8c \ucd9c\uc81c\ub418\uba70, \ub2e4\uc591\ud55c \uc54c\uace0\ub9ac\uc998\uc744 \uc774\ud574\ud558\uace0 \uad6c\ud604\ud560 \uc218 \uc788\ub294 \ub2a5\ub825\uc774 \uc911\uc694\ud569\ub2c8\ub2e4. \uc774 \uac15\uc88c\uc5d0\uc11c\ub294 \ud50c\ub85c\uc774\ub4dc-\uc6cc\uc15c(Floyd-Warshall) \uc54c\uace0\ub9ac\uc998\uc5d0 \ub300\ud574 \ub2e4\ub8e8\uace0, \uc774\ub97c \uc790\ubc14\uc2a4\ud06c\ub9bd\ud2b8\ub85c \uad6c\ud604\ud558\ub294 \ubc29\ubc95\uc744 \ubc30\uc6c1\ub2c8\ub2e4. \ud50c\ub85c\uc774\ub4dc-\uc6cc\uc15c \uc54c\uace0\ub9ac\uc998\uc740 \uadf8\ub798\ud504\uc5d0\uc11c \ubaa8\ub4e0 \uc815\uc810 \uc30d \uac04\uc758 \ucd5c\ub2e8 \uacbd\ub85c\ub97c \ucc3e\ub294 \ub370 \uc720\uc6a9\ud558\uba70, \ud2b9\ud788 \ub300\uaddc\ubaa8 \uadf8\ub798\ud504\uc5d0 \uc801\ud569\ud569\ub2c8\ub2e4.<\/p>\n<\/section>\n<section id=\"problem\">\n<h2>2. \ubb38\uc81c \uc124\uba85<\/h2>\n<p>\ubb38\uc81c: \uc8fc\uc5b4\uc9c4 \ubc29\ud5a5 \uadf8\ub798\ud504\uc5d0\uc11c \ubaa8\ub4e0 \uc815\uc810 \uc0ac\uc774\uc758 \ucd5c\ub2e8 \uacbd\ub85c\ub97c \uad6c\ud558\ub294 \uc54c\uace0\ub9ac\uc998\uc744 \uc791\uc131\ud558\uc2dc\uc624. \uc8fc\uc5b4\uc9c4 \uadf8\ub798\ud504\ub294 \uac00\uc911\uce58\uac00 \uc788\ub294 \uac04\uc120\uc73c\ub85c \uad6c\uc131\ub418\uc5b4 \uc788\uc2b5\ub2c8\ub2e4. \ub9cc\uc57d \uc5b4\ub5a4 \ub450 \uc815\uc810 \uc0ac\uc774\uc5d0 \uacbd\ub85c\uac00 \uc5c6\ub2e4\uba74, \ucd5c\ub2e8 \uacbd\ub85c\uc758 \uac12\uc740 \ubb34\ud55c\ub300\ub85c \ucc98\ub9ac\ud569\ub2c8\ub2e4.<\/p>\n<pre><code>\n\uc785\ub825:\n- \uc815\uc810\uc758 \uc218 N (1 \u2264 N \u2264 100)\n- \uac04\uc120\uc758 \uc218 M (1 \u2264 M \u2264 10000)\n- M\uac1c\uc758 \uac04\uc120 \uc815\ubcf4 (A, B, C): A\uc5d0\uc11c B\ub85c \uac00\ub294 \uac00\uc911\uce58 C\n\n\ucd9c\ub825:\n- \ubaa9\uc801\uc9c0 \uc815\uc810 \uac04\uc758 \ucd5c\ub2e8 \uacbd\ub85c \uae38\uc774\ub97c \ub098\ud0c0\ub0b4\ub294 N x N \ud589\ub82c\uc744 \ucd9c\ub825\ud558\uc2dc\uc624.\n        <\/code><\/pre>\n<\/section>\n<section id=\"floyd\">\n<h2>3. \ud50c\ub85c\uc774\ub4dc-\uc6cc\uc15c \uc54c\uace0\ub9ac\uc998 \uc774\ud574<\/h2>\n<p>\ud50c\ub85c\uc774\ub4dc-\uc6cc\uc15c \uc54c\uace0\ub9ac\uc998\uc740 \ub3d9\uc801 \ud504\ub85c\uadf8\ub798\ubc0d(dynamic programming) \uae30\ubc95\uc744 \ud65c\uc6a9\ud558\uc5ec \ubaa8\ub4e0 \uc30d\uc758 \ucd5c\ub2e8 \uacbd\ub85c\ub97c \uacc4\uc0b0\ud569\ub2c8\ub2e4. \ud574\ub2f9 \uc54c\uace0\ub9ac\uc998\uc740 \ub2e4\uc74c\uacfc \uac19\uc740 \ub2e8\uacc4\ub97c \ud3ec\ud568\ud569\ub2c8\ub2e4:<\/p>\n<ol>\n<li>\ubaa8\ub4e0 \uc815\uc810 \uc30d (i, j) \uac04\uc758 \ucd08\uae30 \uac70\ub9ac \uac12\uc744 \uc124\uc815\ud569\ub2c8\ub2e4. \uc9c1\uc811 \uc5f0\uacb0\ub41c \uc815\uc810 \uac04\uc740 \uac00\uc911\uce58\ub97c, \uc5f0\uacb0\ub418\uc9c0 \uc54a\uc740 \uacbd\uc6b0\ub294 \ubb34\ud55c\ub300(INFINITY)\ub97c \uc124\uc815\ud569\ub2c8\ub2e4.<\/li>\n<li>\uac01 \uc815\uc810\uc744 \uc911\uac04 \uc815\uc810\uc73c\ub85c \uc124\uc815\ud558\uc5ec, i\uc5d0\uc11c j\ub85c \uac00\ub294 \ucd5c\ub2e8 \uacbd\ub85c\ub97c \uccb4\ud06c\ud569\ub2c8\ub2e4. \uc911\uac04 \uc815\uc810\uc744 k\ub85c \ub450\uace0 i -&gt; k -&gt; j \uacbd\ub85c\uac00 i -&gt; j \uacbd\ub85c\ubcf4\ub2e4 \uc9e7\uc740\uc9c0 \ud655\uc778\ud569\ub2c8\ub2e4.<\/li>\n<li>\uc774 \uacfc\uc815\uc744 \ubaa8\ub4e0 \uc815\uc810\uc5d0 \ub300\ud574 \ubc18\ubcf5\ud569\ub2c8\ub2e4.<\/li>\n<\/ol>\n<p>\uc774\ub807\uac8c \ud568\uc73c\ub85c\uc368 \ucd5c\uc885\uc801\uc73c\ub85c \ubaa8\ub4e0 \uc815\uc810 \uc30d \uac04\uc758 \ucd5c\ub2e8 \uacbd\ub85c\ub97c \uad6c\ud560 \uc218 \uc788\uc2b5\ub2c8\ub2e4.<\/p>\n<pre><code>\nfunction floydWarshall(graph) {\n  const dist = JSON.parse(JSON.stringify(graph)); \/\/ \uadf8\ub798\ud504\ub97c \ubcf5\uc0ac\ud558\uc5ec \uac70\ub9ac \ud589\ub82c \ucd08\uae30\ud654\n\n  const n = graph.length; \/\/ \uc815\uc810 \uc218\n  for (let k = 0; k &lt; n; k++) {\n    for (let i = 0; i &lt; n; i++) {\n      for (let j = 0; j &lt; n; j++) {\n        if (dist[i][j] &gt; dist[i][k] + dist[k][j]) {\n          dist[i][j] = dist[i][k] + dist[k][j];\n        }\n      }\n    }\n  }\n  return dist;\n}\n        <\/code><\/pre>\n<\/section>\n<section id=\"implementation\">\n<h2>4. \uc790\ubc14\uc2a4\ud06c\ub9bd\ud2b8 \uad6c\ud604<\/h2>\n<p>\uc774\uc81c \ud50c\ub85c\uc774\ub4dc-\uc6cc\uc15c \uc54c\uace0\ub9ac\uc998\uc744 \uc790\ubc14\uc2a4\ud06c\ub9bd\ud2b8\ub85c \uad6c\ud604\ud574\ubcf4\uaca0\uc2b5\ub2c8\ub2e4. \uba3c\uc800 \uc785\ub825\uc744 \ucc98\ub9ac\ud558\uace0, \uadf8\ub798\ud504\ub97c \ucd08\uae30\ud654\ud55c \ub2e4\uc74c, \ucd5c\ub2e8 \uacbd\ub85c\ub97c \uacc4\uc0b0\ud558\ub294 \ud568\uc218\ub97c \uc791\uc131\ud569\ub2c8\ub2e4:<\/p>\n<pre><code>\nfunction initializeGraph(N, edges) {\n  const graph = Array.from({ length: N }, () =&gt; Array(N).fill(Infinity));\n  for (let i = 0; i &lt; N; i++) {\n    graph[i][i] = 0; \/\/ \uc790\uae30 \uc790\uc2e0\uc73c\ub85c \uac00\ub294 \uacbd\uc6b0\ub294 0\n  }\n\n  edges.forEach(([A, B, C]) =&gt; {\n    graph[A][B] = Math.min(graph[A][B], C); \/\/ \uc5ec\ub7ec \uac04\uc120\uc774 \uc788\uc744 \uacbd\uc6b0 \ucd5c\uc18c \uac00\uc911\uce58\ub85c \uc5c5\ub370\uc774\ud2b8\n  });\n\n  return graph;\n}\n\n\/\/ \ubb38\uc81c\ub97c \ud574\uacb0\ud558\ub294 \uba54\uc778 \ud568\uc218\nfunction solve(N, M, edges) {\n  const graph = initializeGraph(N, edges);\n  const shortestPaths = floydWarshall(graph);\n\n  console.log(\"\ucd5c\ub2e8 \uacbd\ub85c \ud589\ub82c:\");\n  shortestPaths.forEach(row =&gt; console.log(row.join(\" \")));\n}\n        <\/code><\/pre>\n<\/section>\n<section id=\"complexity\">\n<h2>5. \uc2dc\uac04 \ubcf5\uc7a1\ub3c4<\/h2>\n<p>\ud50c\ub85c\uc774\ub4dc-\uc6cc\uc15c \uc54c\uace0\ub9ac\uc998\uc758 \uc2dc\uac04 \ubcf5\uc7a1\ub3c4\ub294 O(N^3)\uc785\ub2c8\ub2e4. \uc774\ub294 N\uc774 \uc815\uc810\uc758 \uc218\uc77c \ub54c \uac01 \uc815\uc810 \uc30d\uc744 \ud655\uc778\ud558\uae30 \uc704\ud574 3\uc911 \ub8e8\ud504\ub97c \uc0ac\uc6a9\ud558\uae30 \ub54c\ubb38\uc785\ub2c8\ub2e4. \ub530\ub77c\uc11c \uc815\uc810 \uc218\uac00 \uc801\ub2f9\ud788 \uc791\uc740 \uacbd\uc6b0 (100 \uc774\ud558) \ud6a8\uc728\uc801\uc73c\ub85c \uc0ac\uc6a9\ub420 \uc218 \uc788\uc9c0\ub9cc, \uc218\ubc31 \uc774\uc0c1\uc758 \uc815\uc810\uc774 \uc788\ub294 \uacbd\uc6b0\uc5d0\ub294 \ub2e4\ub978 \uc54c\uace0\ub9ac\uc998\uc744 \uace0\ub824\ud574\uc57c \ud569\ub2c8\ub2e4.<\/p>\n<\/section>\n<section id=\"conclusion\">\n<h2>6. \uacb0\ub860<\/h2>\n<p>\ubcf8 \uac15\uc88c\uc5d0\uc11c\ub294 \ud50c\ub85c\uc774\ub4dc-\uc6cc\uc15c \uc54c\uace0\ub9ac\uc998\uc758 \uc774\ub860\uacfc \uc790\ubc14\uc2a4\ud06c\ub9bd\ud2b8 \uad6c\ud604 \ubc29\ubc95\uc744 \uc0b4\ud3b4\ubcf4\uc558\uc2b5\ub2c8\ub2e4. \uc54c\uace0\ub9ac\uc998\uc758 \uc774\ud574 \ubc0f \ucf54\ub4dc \uad6c\ud604 \uc5f0\uc2b5\uc744 \ud1b5\ud574 \ucf54\ub529 \ud14c\uc2a4\ud2b8\uc5d0\uc11c\uc758 \ubb38\uc81c \ud574\uacb0 \ub2a5\ub825\uc744 \ud0a4\uc6b8 \uc218 \uc788\uc2b5\ub2c8\ub2e4. \ub2e4\uc74c \ubc88\uc5d0\ub294 \ub354\uc6b1 \ub2e4\uc591\ud55c \uc54c\uace0\ub9ac\uc998\uc744 \ub2e4\ub8e8\uc5b4 \ubcf4\ub3c4\ub85d \ud558\uaca0\uc2b5\ub2c8\ub2e4.<\/p>\n<\/section>\n<\/article>\n","protected":false},"excerpt":{"rendered":"<p>\uc791\uc131\uc790: \uc870\uad11\ud615 \uc791\uc131\uc77c: 2024\ub144 11\uc6d4 26\uc77c \ubaa9\ucc28 1. \uc18c\uac1c 2. \ubb38\uc81c \uc124\uba85 3. \ud50c\ub85c\uc774\ub4dc-\uc6cc\uc15c \uc54c\uace0\ub9ac\uc998 \uc774\ud574 4. \uc790\ubc14\uc2a4\ud06c\ub9bd\ud2b8 \uad6c\ud604 5. \uc2dc\uac04 \ubcf5\uc7a1\ub3c4 6. \uacb0\ub860 1. \uc18c\uac1c \ucf54\ub529\ud14c\uc2a4\ud2b8\uc5d0\uc11c \uc54c\uace0\ub9ac\uc998 \ubb38\uc81c\ub294 \ube48\ubc88\ud558\uac8c \ucd9c\uc81c\ub418\uba70, \ub2e4\uc591\ud55c \uc54c\uace0\ub9ac\uc998\uc744 \uc774\ud574\ud558\uace0 \uad6c\ud604\ud560 \uc218 \uc788\ub294 \ub2a5\ub825\uc774 \uc911\uc694\ud569\ub2c8\ub2e4. \uc774 \uac15\uc88c\uc5d0\uc11c\ub294 \ud50c\ub85c\uc774\ub4dc-\uc6cc\uc15c(Floyd-Warshall) \uc54c\uace0\ub9ac\uc998\uc5d0 \ub300\ud574 \ub2e4\ub8e8\uace0, \uc774\ub97c \uc790\ubc14\uc2a4\ud06c\ub9bd\ud2b8\ub85c \uad6c\ud604\ud558\ub294 \ubc29\ubc95\uc744 \ubc30\uc6c1\ub2c8\ub2e4. \ud50c\ub85c\uc774\ub4dc-\uc6cc\uc15c \uc54c\uace0\ub9ac\uc998\uc740 \uadf8\ub798\ud504\uc5d0\uc11c \ubaa8\ub4e0 \uc815\uc810 &hellip; <a href=\"https:\/\/atmokpo.com\/w\/27825\/\" class=\"more-link\">\ub354 \ubcf4\uae30<span class=\"screen-reader-text\"> &#8220;\uc790\ubc14\uc2a4\ud06c\ub9bd\ud2b8 \ucf54\ub529\ud14c\uc2a4\ud2b8 \uac15\uc88c, \ud50c\ub85c\uc774\ub4dc-\uc6cc\uc15c&#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":[26],"tags":[],"class_list":["post-27825","post","type-post","status-publish","format-standard","hentry","category-26"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v26.2 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>\uc790\ubc14\uc2a4\ud06c\ub9bd\ud2b8 \ucf54\ub529\ud14c\uc2a4\ud2b8 \uac15\uc88c, \ud50c\ub85c\uc774\ub4dc-\uc6cc\uc15c - \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\/27825\/\" \/>\n<meta property=\"og:locale\" content=\"ko_KR\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"\uc790\ubc14\uc2a4\ud06c\ub9bd\ud2b8 \ucf54\ub529\ud14c\uc2a4\ud2b8 \uac15\uc88c, \ud50c\ub85c\uc774\ub4dc-\uc6cc\uc15c - \ub77c\uc774\ube0c\uc2a4\ub9c8\ud2b8\" \/>\n<meta property=\"og:description\" content=\"\uc791\uc131\uc790: \uc870\uad11\ud615 \uc791\uc131\uc77c: 2024\ub144 11\uc6d4 26\uc77c \ubaa9\ucc28 1. \uc18c\uac1c 2. \ubb38\uc81c \uc124\uba85 3. \ud50c\ub85c\uc774\ub4dc-\uc6cc\uc15c \uc54c\uace0\ub9ac\uc998 \uc774\ud574 4. \uc790\ubc14\uc2a4\ud06c\ub9bd\ud2b8 \uad6c\ud604 5. \uc2dc\uac04 \ubcf5\uc7a1\ub3c4 6. \uacb0\ub860 1. \uc18c\uac1c \ucf54\ub529\ud14c\uc2a4\ud2b8\uc5d0\uc11c \uc54c\uace0\ub9ac\uc998 \ubb38\uc81c\ub294 \ube48\ubc88\ud558\uac8c \ucd9c\uc81c\ub418\uba70, \ub2e4\uc591\ud55c \uc54c\uace0\ub9ac\uc998\uc744 \uc774\ud574\ud558\uace0 \uad6c\ud604\ud560 \uc218 \uc788\ub294 \ub2a5\ub825\uc774 \uc911\uc694\ud569\ub2c8\ub2e4. \uc774 \uac15\uc88c\uc5d0\uc11c\ub294 \ud50c\ub85c\uc774\ub4dc-\uc6cc\uc15c(Floyd-Warshall) \uc54c\uace0\ub9ac\uc998\uc5d0 \ub300\ud574 \ub2e4\ub8e8\uace0, \uc774\ub97c \uc790\ubc14\uc2a4\ud06c\ub9bd\ud2b8\ub85c \uad6c\ud604\ud558\ub294 \ubc29\ubc95\uc744 \ubc30\uc6c1\ub2c8\ub2e4. \ud50c\ub85c\uc774\ub4dc-\uc6cc\uc15c \uc54c\uace0\ub9ac\uc998\uc740 \uadf8\ub798\ud504\uc5d0\uc11c \ubaa8\ub4e0 \uc815\uc810 &hellip; \ub354 \ubcf4\uae30 &quot;\uc790\ubc14\uc2a4\ud06c\ub9bd\ud2b8 \ucf54\ub529\ud14c\uc2a4\ud2b8 \uac15\uc88c, \ud50c\ub85c\uc774\ub4dc-\uc6cc\uc15c&quot;\" \/>\n<meta property=\"og:url\" content=\"https:\/\/atmokpo.com\/w\/27825\/\" \/>\n<meta property=\"og:site_name\" content=\"\ub77c\uc774\ube0c\uc2a4\ub9c8\ud2b8\" \/>\n<meta property=\"article:published_time\" content=\"2024-10-27T15:19:37+00:00\" \/>\n<meta property=\"article:modified_time\" content=\"2024-11-26T07:14:41+00:00\" \/>\n<meta name=\"author\" content=\"root\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta 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