\ucd5c\uc18c \uc2e0\uc7a5 \ud2b8\ub9ac(Minimum Spanning Tree, MST)\ub294 \uc5f0\uacb0 \uadf8\ub798\ud504\uc5d0\uc11c \ubaa8\ub4e0 \uc815\uc810\uc744 \ud3ec\ud568\ud558\uba74\uc11c
\n \uac04\uc120\uc758 \uac00\uc911\uce58\uc758 \ud569\uc774 \ucd5c\uc18c\uac00 \ub418\ub294 \ubd80\ubd84 \uadf8\ub798\ud504\uc785\ub2c8\ub2e4. \uc989, \ucd5c\uc18c \uc2e0\uc7a5 \ud2b8\ub9ac\ub294 \uc8fc\uc5b4\uc9c4 \uadf8\ub798\ud504\uc5d0\uc11c
\n \uc0ac\uc774\ud074\uc744 \ud615\uc131\ud558\uc9c0 \uc54a\uc73c\uba74\uc11c \uc804\uccb4 \ucd5c\uc18c \ube44\uc6a9\uc73c\ub85c \uc5f0\uacb0\ub418\ub294 \ud2b8\ub9ac\ub97c \ucc3e\ub294 \uacfc\uc815\uc785\ub2c8\ub2e4.<\/p>\n
\ub2e4\uc74c\uc740 \ucd5c\uc18c \uc2e0\uc7a5 \ud2b8\ub9ac \ubb38\uc81c\uc785\ub2c8\ub2e4:<\/p>\n
\n\uc8fc\uc5b4\uc9c4 n<\/code>\uac1c\uc758 \ub3c4\uc2dc\uc640 m<\/code>\uac1c\uc758 \ub3c4\ub85c\uc5d0 \ub300\ud55c \uc815\ubcf4\uac00 \uc8fc\uc5b4\uc9c8
\n \ub54c, \ubaa8\ub4e0 \ub3c4\uc2dc\ub97c \ucd5c\uc18c\ud55c\uc758 \ube44\uc6a9\uc73c\ub85c \uc5f0\uacb0\ud558\ub294 \ub3c4\ub85c\uc758 \ube44\uc6a9\uc758 \ucd5c\uc19f\uac12\uc744 \uad6c\ud558\uc138\uc694.<\/p>\n\uc785\ub825 \ud615\uc2dd: \uccab \ubc88\uc9f8 \uc904\uc5d0 \ub450 \uc815\uc218 n<\/code> (\ub3c4\uc2dc\uc758 \uc218)\uc640 m<\/code> (\ub3c4\ub85c\uc758 \uc218)\uc774 \uc8fc\uc5b4\uc9d1\ub2c8\ub2e4.
\n \ub2e4\uc74c m<\/code>\uac1c\uc758 \uc904\uc5d0\ub294 \uac01 \ub3c4\ub85c\uc5d0 \ub300\ud55c \uc815\ubcf4\ub97c \ub098\ud0c0\ub0b4\ub294 \uc138 \uc815\uc218 a<\/code>, b<\/code>, c<\/code>\uac00 \uc8fc\uc5b4\uc9c0\uba70,
\n \uc774\ub294 \ub3c4\uc2dc a<\/code>\uc640 \ub3c4\uc2dc b<\/code>\ub97c \uc5f0\uacb0\ud558\ub294 \ub3c4\ub85c\uc758 \ube44\uc6a9\uc774 c<\/code>\uc784\uc744 \uc758\ubbf8\ud569\ub2c8\ub2e4.<\/p>\n<\/blockquote>\n3. \uc811\uadfc\ubc95<\/h2>\n
\ucd5c\uc18c \uc2e0\uc7a5 \ud2b8\ub9ac \ubb38\uc81c\ub97c \ud574\uacb0\ud558\uae30 \uc704\ud574\uc11c\ub294 \uc77c\ubc18\uc801\uc73c\ub85c \ub450 \uac00\uc9c0 \uc54c\uace0\ub9ac\uc998\uc744 \ub9ce\uc774 \uc0ac\uc6a9\ud569\ub2c8\ub2e4:<\/p>\n
\n- \ud504\ub9bc(Prim) \uc54c\uace0\ub9ac\uc998<\/li>\n
- \ud06c\ub8e8\uc2a4\uce7c(Kruskal) \uc54c\uace0\ub9ac\uc998<\/li>\n<\/ul>\n
\uc774\ubc88 \uae00\uc5d0\uc11c\ub294 \ud06c\ub8e8\uc2a4\uce7c \uc54c\uace0\ub9ac\uc998\uc744 \uc0ac\uc6a9\ud558\uc5ec \ubb38\uc81c\ub97c \ud574\uacb0\ud574 \ubcf4\uaca0\uc2b5\ub2c8\ub2e4.<\/p>\n
3.1 \ud06c\ub8e8\uc2a4\uce7c \uc54c\uace0\ub9ac\uc998<\/h3>\n
\ud06c\ub8e8\uc2a4\uce7c \uc54c\uace0\ub9ac\uc998\uc740 \ub2e4\uc74c\uacfc \uac19\uc740 \ub2e8\uacc4\ub85c \uc9c4\ud589\ub429\ub2c8\ub2e4:<\/p>\n
\n- \ubaa8\ub4e0 \uac04\uc120\uc744 \uac00\uc911\uce58(\ube44\uc6a9)\uc5d0 \ub530\ub77c \uc624\ub984\ucc28\uc21c\uc73c\ub85c \uc815\ub82c\ud55c\ub2e4.<\/li>\n
- \uac00\uc7a5 \uc791\uc740 \uac04\uc120\ubd80\ud130 \uc2dc\uc791\ud574 \uc120\ud0dd\ud55c\ub2e4. \uc120\ud0dd\ud55c \uac04\uc120\uc774 \uc0ac\uc774\ud074\uc744 \ud615\uc131\ud558\uc9c0 \uc54a\ub294\ub2e4\uba74 MST\uc5d0 \ud3ec\ud568\uc2dc\ud0a8\ub2e4.<\/li>\n
- \ubaa8\ub4e0 \uac04\uc120\uc744 \uac80\uc0ac\ud560 \ub54c\uae4c\uc9c0 2\ubc88 \uacfc\uc815\uc744 \ubc18\ubcf5\ud55c\ub2e4.<\/li>\n<\/ol>\n
4. \uc54c\uace0\ub9ac\uc998 \uad6c\ud604<\/h2>\n
\uc774\uc81c \uc704\uc758 \ubb38\uc81c\ub97c \ud574\uacb0\ud558\uae30 \uc704\ud55c \ud06c\ub8e8\uc2a4\uce7c \uc54c\uace0\ub9ac\uc998\uc758 \ud30c\uc774\uc36c \uad6c\ud604\uc744 \uc2dc\uc791\ud558\uaca0\uc2b5\ub2c8\ub2e4.<\/p>\n
\nclass DisjointSet:\n def __init__(self, n):\n self.parent = list(range(n + 1))\n self.rank = [0] * (n + 1)\n\n def find(self, u):\n if self.parent[u] != u:\n self.parent[u] = self.find(self.parent[u])\n return self.parent[u]\n\n def union(self, u, v):\n root_u = self.find(u)\n root_v = self.find(v)\n\n if root_u != root_v:\n if self.rank[root_u] > self.rank[root_v]:\n self.parent[root_v] = root_u\n elif self.rank[root_u] < self.rank[root_v]:\n self.parent[root_u] = root_v\n else:\n self.parent[root_v] = root_u\n self.rank[root_u] += 1\n <\/code><\/pre>\n4.1 \uc785\ub825 \ubc0f \uac04\uc120 \uc815\ub82c<\/h3>\n
\uc785\ub825\uc73c\ub85c \ub3c4\uc2dc\uc758 \uc218\uc640 \ub3c4\ub85c \uc815\ubcf4\ub97c \ubc1b\uc544\uc624\uace0, \uac04\uc120\uc744 \uac00\uc911\uce58\uc5d0 \ub530\ub77c \uc815\ub82c\ud569\ub2c8\ub2e4.<\/p>\n
\nimport sys\n\ndef main():\n input = sys.stdin.readline\n n, m = map(int, input().split())\n edges = []\n\n for _ in range(m):\n a, b, c = map(int, input().split())\n edges.append((c, a, b))\n\n edges.sort() # \uac00\uc911\uce58 \uc624\ub984\ucc28\uc21c \uc815\ub82c\n <\/code><\/pre>\n4.2 \ud06c\ub8e8\uc2a4\uce7c \uc54c\uace0\ub9ac\uc998 \uc801\uc6a9<\/h3>\n
\uc815\ub82c\ub41c \uac04\uc120\ub4e4\uc744 \ud558\ub098\uc529 \ud655\uc778\ud558\uba74\uc11c MST\ub97c \uad6c\uc131\ud569\ub2c8\ub2e4.<\/p>\n
\n ds = DisjointSet(n)\n mst_cost = 0\n\n for cost, a, b in edges:\n if ds.find(a) != ds.find(b): # \uc0ac\uc774\ud074 \ud655\uc778\n ds.union(a, b)\n mst_cost += cost\n\n print(mst_cost) # \ucd5c\uc18c \uc2e0\uc7a5 \ud2b8\ub9ac \ube44\uc6a9 \ucd9c\ub825\nif __name__ == \"__main__\":\n main()\n <\/code><\/pre>\n5. \uacb0\ub860<\/h2>\n
\uc774\ubc88 \uae00\uc5d0\uc11c\ub294 \ucd5c\uc18c \uc2e0\uc7a5 \ud2b8\ub9ac\uc758 \uac1c\ub150\uacfc \ud06c\ub8e8\uc2a4\uce7c \uc54c\uace0\ub9ac\uc998\uc744 \ud1b5\ud574 \ubb38\uc81c\ub97c \ud574\uacb0\ud558\ub294 \ubc29\ubc95\uc744
\n \uc54c\uc544\ubcf4\uc558\uc2b5\ub2c8\ub2e4. \uc5ec\ub7ec\ubd84\ub3c4 \uc8fc\uc5b4\uc9c4 \ubb38\uc81c\ub97c \uc790\uc2e0\ub9cc\uc758 \ubc29\uc2dd\uc73c\ub85c \ubd84\uc11d\ud558\uace0 \ud574\uacb0\ud560 \uc218 \uc788\ub294 \ub2a5\ub825\uc744
\n \ud0a4\uc6b0\uae38 \ubc14\ub78d\ub2c8\ub2e4.<\/p>\n
\n
\ucc38\uace0:<\/strong> \uc774 \uae00\uc5d0\uc11c \uc81c\uc2dc\ud55c \ucf54\ub4dc\ub294 \uae30\ubcf8\uc801\uc778 \uad6c\uc870\ub85c, \ucd94\uac00\uc801\uc778 \uc5d0\ub7ec \ucc98\ub9ac \ubc0f
\n \ucd5c\uc801\ud654\ub97c \ud544\uc694\ub85c \ud560 \uc218\ub3c4 \uc788\uc2b5\ub2c8\ub2e4.\n <\/div>\n<\/body><\/p>\n","protected":false},"excerpt":{"rendered":"
1. \ucd5c\uc18c \uc2e0\uc7a5 \ud2b8\ub9ac\ub780? \ucd5c\uc18c \uc2e0\uc7a5 \ud2b8\ub9ac(Minimum Spanning Tree, MST)\ub294 \uc5f0\uacb0 \uadf8\ub798\ud504\uc5d0\uc11c \ubaa8\ub4e0 \uc815\uc810\uc744 \ud3ec\ud568\ud558\uba74\uc11c \uac04\uc120\uc758 \uac00\uc911\uce58\uc758 \ud569\uc774 \ucd5c\uc18c\uac00 \ub418\ub294 \ubd80\ubd84 \uadf8\ub798\ud504\uc785\ub2c8\ub2e4. \uc989, \ucd5c\uc18c \uc2e0\uc7a5 \ud2b8\ub9ac\ub294 \uc8fc\uc5b4\uc9c4 \uadf8\ub798\ud504\uc5d0\uc11c \uc0ac\uc774\ud074\uc744 \ud615\uc131\ud558\uc9c0 \uc54a\uc73c\uba74\uc11c \uc804\uccb4 \ucd5c\uc18c \ube44\uc6a9\uc73c\ub85c \uc5f0\uacb0\ub418\ub294 \ud2b8\ub9ac\ub97c \ucc3e\ub294 \uacfc\uc815\uc785\ub2c8\ub2e4. 2. \ubb38\uc81c \uc124\uba85 \ub2e4\uc74c\uc740 \ucd5c\uc18c \uc2e0\uc7a5 \ud2b8\ub9ac \ubb38\uc81c\uc785\ub2c8\ub2e4: \uc8fc\uc5b4\uc9c4 n\uac1c\uc758 \ub3c4\uc2dc\uc640 m\uac1c\uc758 \ub3c4\ub85c\uc5d0 \ub300\ud55c \uc815\ubcf4\uac00 \uc8fc\uc5b4\uc9c8 \ub54c, … \ub354 \ubcf4\uae30 “\ud30c\uc774\uc36c \ucf54\ub529\ud14c\uc2a4\ud2b8 \uac15\uc88c, \ucd5c\uc18c \uc2e0\uc7a5 \ud2b8\ub9ac”<\/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":[23],"tags":[],"class_list":["post-27190","post","type-post","status-publish","format-standard","hentry","category-23"],"yoast_head":"\n\ud30c\uc774\uc36c \ucf54\ub529\ud14c\uc2a4\ud2b8 \uac15\uc88c, \ucd5c\uc18c \uc2e0\uc7a5 \ud2b8\ub9ac - \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\/27190\/\" \/>\n<meta property=\"og:locale\" content=\"ko_KR\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"\ud30c\uc774\uc36c \ucf54\ub529\ud14c\uc2a4\ud2b8 \uac15\uc88c, \ucd5c\uc18c \uc2e0\uc7a5 \ud2b8\ub9ac - \ub77c\uc774\ube0c\uc2a4\ub9c8\ud2b8\" \/>\n<meta property=\"og:description\" content=\"1. \ucd5c\uc18c \uc2e0\uc7a5 \ud2b8\ub9ac\ub780? \ucd5c\uc18c \uc2e0\uc7a5 \ud2b8\ub9ac(Minimum Spanning Tree, MST)\ub294 \uc5f0\uacb0 \uadf8\ub798\ud504\uc5d0\uc11c \ubaa8\ub4e0 \uc815\uc810\uc744 \ud3ec\ud568\ud558\uba74\uc11c \uac04\uc120\uc758 \uac00\uc911\uce58\uc758 \ud569\uc774 \ucd5c\uc18c\uac00 \ub418\ub294 \ubd80\ubd84 \uadf8\ub798\ud504\uc785\ub2c8\ub2e4. \uc989, \ucd5c\uc18c \uc2e0\uc7a5 \ud2b8\ub9ac\ub294 \uc8fc\uc5b4\uc9c4 \uadf8\ub798\ud504\uc5d0\uc11c \uc0ac\uc774\ud074\uc744 \ud615\uc131\ud558\uc9c0 \uc54a\uc73c\uba74\uc11c \uc804\uccb4 \ucd5c\uc18c \ube44\uc6a9\uc73c\ub85c \uc5f0\uacb0\ub418\ub294 \ud2b8\ub9ac\ub97c \ucc3e\ub294 \uacfc\uc815\uc785\ub2c8\ub2e4. 2. \ubb38\uc81c \uc124\uba85 \ub2e4\uc74c\uc740 \ucd5c\uc18c \uc2e0\uc7a5 \ud2b8\ub9ac \ubb38\uc81c\uc785\ub2c8\ub2e4: \uc8fc\uc5b4\uc9c4 n\uac1c\uc758 \ub3c4\uc2dc\uc640 m\uac1c\uc758 \ub3c4\ub85c\uc5d0 \ub300\ud55c \uc815\ubcf4\uac00 \uc8fc\uc5b4\uc9c8 \ub54c, … \ub354 \ubcf4\uae30 "\ud30c\uc774\uc36c \ucf54\ub529\ud14c\uc2a4\ud2b8 \uac15\uc88c, \ucd5c\uc18c \uc2e0\uc7a5 \ud2b8\ub9ac"\" \/>\n<meta property=\"og:url\" content=\"https:\/\/atmokpo.com\/w\/27190\/\" \/>\n<meta property=\"og:site_name\" content=\"\ub77c\uc774\ube0c\uc2a4\ub9c8\ud2b8\" \/>\n<meta property=\"article:published_time\" content=\"2024-10-27T13:44:24+00:00\" \/>\n<meta property=\"article:modified_time\" content=\"2024-11-26T07:20:47+00:00\" \/>\n<meta name=\"author\" content=\"root\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:creator\" content=\"@bebubo4\" \/>\n<meta name=\"twitter:site\" content=\"@bebubo4\" \/>\n<meta name=\"twitter:label1\" content=\"\uae00\uc4f4\uc774\" \/>\n\t<meta name=\"twitter:data1\" content=\"root\" \/>\n\t<meta name=\"twitter:label2\" content=\"\uc608\uc0c1 \ub418\ub294 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