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<\/p>\n

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\n
\uc8fc\uc5b4\uc9c4 \ubb34\ubc29\ud5a5 \uac00\uc911 \uadf8\ub798\ud504<\/strong>\uc5d0\uc11c \ucd5c\uc18c \uc2e0\uc7a5 \ud2b8\ub9ac\ub97c \uad6c\ud558\ub294 \ud504\ub85c\uadf8\ub7a8\uc744 \uc791\uc131\ud558\uc2dc\uc624. \uadf8\ub798\ud504\ub294 1 \u2264 V \u2264 1000<\/code> (\uc815\uc810\uc758 \uc218) \uc640 1 \u2264 E \u2264 10000<\/code> (\uac04\uc120\uc758 \uc218) \ub0b4\uc5d0\uc11c \uc8fc\uc5b4\uc9c0\uace0, \ubaa8\ub4e0 \uac04\uc120\uc758 \uac00\uc911\uce58\ub294 1 \u2264 w \u2264 1000<\/code> \uc785\ub2c8\ub2e4.<\/p>\n<\/blockquote>\n
\ubb38\uc81c \ud480\uc774 \uc811\uadfc\ubc95<\/h2>\n\ucd5c\uc18c \uc2e0\uc7a5 \ud2b8\ub9ac\ub97c \uad6c\ud558\ub294 \uc54c\uace0\ub9ac\uc998\uc740 \uc5ec\ub7ec \uac00\uc9c0\uac00 \uc788\uc9c0\ub9cc, \uadf8 \uc911 \uac00\uc7a5 \ub9ce\uc774 \uc0ac\uc6a9\ub418\ub294 \ub450 \uac00\uc9c0 \uc54c\uace0\ub9ac\uc998\uc740 \ud504\ub9bc(Prim) \uc54c\uace0\ub9ac\uc998<\/strong>\uacfc \ud06c\ub8e8\uc2a4\uceec(Kruskal) \uc54c\uace0\ub9ac\uc998<\/strong>\uc785\ub2c8\ub2e4. \uc5ec\uae30\uc5d0\uc11c\ub294 \ud504\ub9bc \uc54c\uace0\ub9ac\uc998\uc744 \uc0ac\uc6a9\ud558\uc5ec \ubb38\uc81c\ub97c \ud574\uacb0\ud558\ub294 \ubc29\ubc95\uc744 \uc124\uba85\ud558\uaca0\uc2b5\ub2c8\ub2e4.<\/p>\n \ud504\ub9bc \uc54c\uace0\ub9ac\uc998 \uac1c\uc694<\/h3>\n\ud504\ub9bc \uc54c\uace0\ub9ac\uc998\uc740 \ud56d\uc0c1 \ucd5c\uc18c \uac00\uc911\uce58\ub97c \uac00\uc9c4 \uac04\uc120\uc744 \uc120\ud0dd\ud558\uba74\uc11c \uc9c4\ud589\ud558\ub294 \uc54c\uace0\ub9ac\uc998\uc73c\ub85c, \ub2e4\uc74c\uacfc \uac19\uc740 \uc808\ucc28\ub97c \ub530\ub985\ub2c8\ub2e4:<\/p>\n \n\uc2dc\uc791 \uc815\uc810\uc744 \uc120\ud0dd\ud569\ub2c8\ub2e4. (\uc784\uc758\uc758 \uc815\uc810\uc73c\ub85c \uc2dc\uc791 \uac00\ub2a5\ud569\ub2c8\ub2e4.)<\/li>\n \ud604\uc7ac \uc120\ud0dd\ub41c \uc815\uc810\uacfc \uc5f0\uacb0\ub41c \uac04\uc120 \uc911\uc5d0\uc11c \uac00\uc911\uce58\uac00 \uac00\uc7a5 \uc791\uc740 \uac04\uc120\uc744 \uc120\ud0dd\ud569\ub2c8\ub2e4.<\/li>\n \uc120\ud0dd\ub41c \uac04\uc120\uc774 \uc5f0\uacb0\ud558\ub294 \uc815\uc810\uc744 \ud2b8\ub9ac\uc5d0 \ucd94\uac00\ud569\ub2c8\ub2e4.<\/li>\n 2\ubc88\uacfc 3\ubc88\uc758 \uacfc\uc815\uc744 \ubc18\ubcf5\ud558\uc5ec \ubaa8\ub4e0 \uc815\uc810\uc744 \ud3ec\ud568\ud560 \ub54c\uae4c\uc9c0 \uc9c4\ud589\ud569\ub2c8\ub2e4.<\/li>\n<\/ol>\n\ud504\ub9bc \uc54c\uace0\ub9ac\uc998\uc758 \uc2dc\uac04 \ubcf5\uc7a1\ub3c4<\/h3>\n\ud504\ub9bc \uc54c\uace0\ub9ac\uc998\uc758 \uc2dc\uac04 \ubcf5\uc7a1\ub3c4\ub294 \uc0ac\uc6a9\ub418\ub294 \uc790\ub8cc\uad6c\uc870\uc5d0 \ub530\ub77c \ub2ec\ub77c\uc9d1\ub2c8\ub2e4. \ud799(priority queue)\uc744 \uc0ac\uc6a9\ud558\uba74 O(E log V)<\/code>\uc758 \ubcf5\uc7a1\ub3c4\ub97c \uac00\uc9c0\uba70, \uc778\uc811 \ud589\ub82c\uc744 \uc0ac\uc6a9\ud558\uba74 O(V^{2<\/sup>)<\/code>\uc758 \ubcf5\uc7a1\ub3c4\ub97c \uac00\uc9d1\ub2c8\ub2e4. \uc77c\ubc18\uc801\uc73c\ub85c \ud799\uc744 \uc0ac\uc6a9\ud558\ub294 \uac83\uc774 \ub354 \ud6a8\uc728\uc801\uc785\ub2c8\ub2e4.<\/p>\n} \uad6c\ud604\ud558\uae30<\/h2>\n\uc774\uc81c \uc2e4\uc81c\ub85c \ud504\ub9bc \uc54c\uace0\ub9ac\uc998\uc744 \uad6c\ud604\ud574 \ubcf4\uaca0\uc2b5\ub2c8\ub2e4. \uc544\ub798\ub294 \ud30c\uc774\uc36c \ucf54\ub4dc\uc785\ub2c8\ub2e4:<\/p>\n \nimport heapq # \ud799\uc744 \uc0ac\uc6a9\ud558\uae30 \uc704\ud574 \uc784\ud3ec\ud2b8\n\ndef prim(graph, start):\n mst = [] # \ucd5c\uc18c \uc2e0\uc7a5 \ud2b8\ub9ac \ub9ac\uc2a4\ud2b8\n visited = set() # \ubc29\ubb38\ud55c \uc815\uc810 \uc9d1\ud569\n min_heap = [(0, start)] # \ud799 \ucd08\uae30\ud654 (\uac00\uc911\uce58, \uc815\uc810)\n\n total_weight = 0 # \ucd1d \uac00\uc911\uce58\n\n while min_heap:\n weight, vertex = heapq.heappop(min_heap) # \ucd5c\uc18c \uac00\uc911\uce58 \uac04\uc120 \uc120\ud0dd\n if vertex not in visited:\n visited.add(vertex) # \ubc29\ubb38 \ucc98\ub9ac\n total_weight += weight # \uac00\uc911\uce58 \ud569\uc0b0\n mst.append((weight, vertex))\n\n for next_vertex, next_weight in graph[vertex].items():\n if next_vertex not in visited:\n heapq.heappush(min_heap, (next_weight, next_vertex)) # \ud799\uc5d0 \ucd94\uac00\n\n return mst, total_weight # \ucd5c\uc18c \uc2e0\uc7a5 \ud2b8\ub9ac\uc640 \ucd1d \uac00\uc911\uce58 \ubc18\ud658\n\n# \uadf8\ub798\ud504 \uc815\uc758 (\uc778\uc811 \ub9ac\uc2a4\ud2b8)\ngraph = {\n 1: {2: 3, 3: 1},\n 2: {1: 3, 3: 1, 4: 6},\n 3: {1: 1, 2: 1, 4: 5},\n 4: {2: 6, 3: 5}\n}\n\nmst, total_weight = prim(graph, 1)\nprint(\"\ucd5c\uc18c \uc2e0\uc7a5 \ud2b8\ub9ac:\", mst)\nprint(\"\ucd1d \uac00\uc911\uce58:\", total_weight)\n <\/code><\/pre>\n\ucf54\ub4dc \uc124\uba85<\/h3>\n\uc704 \ucf54\ub4dc\ub294 prim<\/code>\ub77c\ub294 \ud568\uc218\ub97c \uc815\uc758\ud558\uace0 \uc788\uc2b5\ub2c8\ub2e4. \uc774 \ud568\uc218\ub294 \uadf8\ub798\ud504\uc640 \uc2dc\uc791 \uc815\uc810\uc744 \uc778\uc790\ub85c \ubc1b\uc544 \ucd5c\uc18c \uc2e0\uc7a5 \ud2b8\ub9ac\uc640 \uadf8 \ucd1d \uac00\uc911\uce58\ub97c \ubc18\ud658\ud569\ub2c8\ub2e4.<\/p>\n \nmin_heap<\/code>: \ud604\uc7ac \uc120\ud0dd \uac00\ub2a5\ud55c \uac04\uc120\ub4e4\uc744 \ud799\uc73c\ub85c \uad00\ub9ac\ud569\ub2c8\ub2e4.<\/li>\n visited<\/code>: \uc774\ubbf8 \uc120\ud0dd\ub41c \uc815\uc810\uc744 \ucd94\uc801\ud558\uc5ec \uc911\ubcf5 \uc120\ud0dd\uc744 \ubc29\uc9c0\ud569\ub2c8\ub2e4.<\/li>\n \ud799\uc5d0\uc11c \ucd5c\uc18c \uac00\uc911\uce58 \uac04\uc120\uc744 \uc120\ud0dd\ud55c \ud6c4, \ud574\ub2f9 \uc815\uc810\uc744 \ud2b8\ub9ac\uc5d0 \ucd94\uac00\ud558\uace0 \uc5f0\uacb0\ub41c \uc815\uc810\ub4e4\uc744 \ud799\uc5d0 \ucd94\uac00\ud569\ub2c8\ub2e4.<\/li>\n<\/ul>\n\ud14c\uc2a4\ud2b8 \ucf00\uc774\uc2a4 \uc2e4\ud589<\/h2>\n\uc704 \ucf54\ub4dc\ub97c \uc2e4\ud589\ud558\uba74 \ub2e4\uc74c\uacfc \uac19\uc740 \uacb0\uacfc\ub97c \uc5bb\uac8c \ub429\ub2c8\ub2e4:<\/p>\n \n\ucd5c\uc18c \uc2e0\uc7a5 \ud2b8\ub9ac: [(0, 1), (1, 3), (1, 2)]\n\ucd1d \uac00\uc911\uce58: 2\n <\/code><\/pre>\n\uc5ec\uae30\uc11c \ucd5c\uc18c \uc2e0\uc7a5 \ud2b8\ub9ac\ub294 \uc815\uc810 1, 2, 3\uc774 \ud3ec\ud568\ub418\uba70, \ucd1d \uac00\uc911\uce58\ub294 2\uc785\ub2c8\ub2e4.<\/p>\n \ubcf5\uc7a1\ud55c \uc608\uc81c<\/h2>\n\ubcf4\ub2e4 \ubcf5\uc7a1\ud55c \uadf8\ub798\ud504\uc5d0 \ub300\ud574\uc11c\ub3c4 \ub3d9\uc77c\ud55c \ubc29\ubc95\uc73c\ub85c \ucd5c\uc18c \uc2e0\uc7a5 \ud2b8\ub9ac\ub97c \uad6c\ud560 \uc218 \uc788\uc2b5\ub2c8\ub2e4. \uc608\ub97c \ub4e4\uc5b4, \ud558\ub098\uc758 \uadf8\ub798\ud504\uc5d0 \uc5ec\ub7ec \uc815\uc810\uacfc \uac04\uc120\uc774 \uc788\ub2e4\uace0 \uac00\uc815\ud574 \ubd05\uc2dc\ub2e4:<\/p>\n \n# \ubcf5\uc7a1\ud55c \uadf8\ub798\ud504 \uc815\uc758\ncomplex_graph = {\n 'A': {'B': 4, 'H': 8},\n 'B': {'A': 4, 'C': 8, 'H': 11},\n 'C': {'B': 8, 'D': 7, 'F': 4, 'I': 2},\n 'D': {'C': 7, 'E': 9, 'F': 14},\n 'E': {'D': 9, 'F': 10},\n 'F': {'C': 4, 'D': 14, 'E': 10, 'G': 2},\n 'G': {'F': 2, 'H': 1, 'I': 6},\n 'H': {'A': 8, 'B': 11, 'G': 1},\n 'I': {'C': 2, 'G': 6}\n}\n\nmst_complex, total_weight_complex = prim(complex_graph, 'A')\nprint(\"\ubcf5\uc7a1\ud55c \uadf8\ub798\ud504\uc758 \ucd5c\uc18c \uc2e0\uc7a5 \ud2b8\ub9ac:\", mst_complex)\nprint(\"\ucd1d \uac00\uc911\uce58:\", total_weight_complex)\n <\/code><\/pre>\n\uacb0\uacfc \ud574\uc11d<\/h3>\n\uc774 \ubcf5\uc7a1\ud55c \uadf8\ub798\ud504\uc758 \uacbd\uc6b0, \ucd5c\uc18c \uc2e0\uc7a5 \ud2b8\ub9ac\ub97c \uad6c\ud558\uae30 \uc704\ud574 \ubc18\ubcf5\uc801\uc778 \uc120\ud0dd\uc774 \ud544\uc694\ud569\ub2c8\ub2e4. \ud504\ub9bc \uc54c\uace0\ub9ac\uc998\uc740 \ucd5c\uc801\uc758 \uac04\uc120\uc744 \uc120\ud0dd\ud558\uc5ec \ud2b8\ub9ac\ub97c \uad6c\ucd95\ud558\ub294 \ub370 \uc788\uc5b4 \ud6a8\uacfc\uc801\uc785\ub2c8\ub2e4. \uc2e4\ud589 \uacb0\uacfc\uc5d0 \ub530\ub77c \ucd5c\uc885 \ucd5c\uc18c \uc2e0\uc7a5 \ud2b8\ub9ac\uc640 \uadf8 \ucd1d \uac00\uc911\uce58\ub97c \ucd9c\ub825\ud569\ub2c8\ub2e4.<\/p>\n \uacb0\ub860<\/h2>\n\ucd5c\uc18c \uc2e0\uc7a5 \ud2b8\ub9ac\ub294 \ub124\ud2b8\uc6cc\ud06c \uc124\uacc4 \ubc0f \ucd5c\uc801\ud654 \ubb38\uc81c\uc5d0\uc11c \uc911\uc694\ud55c \uc5ed\ud560\uc744 \ud569\ub2c8\ub2e4. \ubcf8 \uac15\uc88c\ub97c \ud1b5\ud574 \ud504\ub9bc \uc54c\uace0\ub9ac\uc998\uc744 \ud30c\uc774\uc36c\uc73c\ub85c \uad6c\ud604\ud574\ubcf4\uace0, \uc774\ub97c \uc2e4\uc81c \ubb38\uc81c\uc5d0 \uc801\uc6a9\ud574\ubcfc \uc218 \uc788\uc5c8\uc2b5\ub2c8\ub2e4. \ub2e4\uc591\ud55c \ud14c\uc2a4\ud2b8 \ucf00\uc774\uc2a4\ub97c \ud1b5\ud574 \uc54c\uace0\ub9ac\uc998\uc758 \uc815\ud655\uc131\uc744 \uac80\uc99d\ud558\ub294 \uac83\ub3c4 \uc911\uc694\ud55c \uacfc\uc815\uc785\ub2c8\ub2e4. \uc54c\uace0\ub9ac\uc998\uc744 \ud65c\uc6a9\ud55c \ubb38\uc81c \ud480\uc774\ub97c \ud1b5\ud574 \ucf54\ub529 \ud14c\uc2a4\ud2b8\ub97c \uc900\ube44\ud558\ub294 \ub370 \ub3c4\uc6c0\uc774 \ub418\uae38 \ubc14\ub78d\ub2c8\ub2e4!<\/p>\n \ucd94\uac00\uc801\uc778 \ud559\uc2b5 \uc790\ub8cc<\/h3>\n\ud504\ub9bc \uc54c\uace0\ub9ac\uc998 \uc678\uc5d0\ub3c4 \ud06c\ub8e8\uc2a4\uceec \uc54c\uace0\ub9ac\uc998\uacfc \uac19\uc740 \ub2e4\ub978 \ubc29\ubc95\ub4e4\uc744 \uc54c\uc544\ubcf4\ub294 \uac83\ub3c4 \uc88b\uc2b5\ub2c8\ub2e4. \uc54c\uace0\ub9ac\uc998\uc758 \uc774\ud574\ub97c \ub3d5\uae30 \uc704\ud55c \uc790\ub8cc\ub294 \ub2e4\uc74c\uacfc \uac19\uc2b5\ub2c8\ub2e4:<\/p>\n \nGeeksforGeeks – Minimum Spanning Tree<\/a><\/li>\n Khan Academy – Prim’s Algorithm<\/a><\/li>\n<\/ul>\n<\/body><\/p>\n","protected":false},"excerpt":{"rendered":"\uc548\ub155\ud558\uc138\uc694! \uc624\ub298\uc740 \uadf8\ub798\ud504 \uc774\ub860\uc5d0\uc11c \uc911\uc694\ud55c \uac1c\ub150 \uc911 \ud558\ub098\uc778 \ucd5c\uc18c \uc2e0\uc7a5 \ud2b8\ub9ac(MST)\ub97c \uad6c\ud558\ub294 \ubc29\ubc95\uc5d0 \ub300\ud574 \uc54c\uc544\ubcf4\uaca0\uc2b5\ub2c8\ub2e4. \ucd5c\uc18c \uc2e0\uc7a5 \ud2b8\ub9ac\ub294 \uc5f0\uacb0\ub41c \ubaa8\ub4e0 \uc815\uc810\uc744 \ud3ec\ud568\ud558\uba74\uc11c\ub3c4 \uac04\uc120\uc758 \ucd1d \uac00\uc911\uce58\uac00 \ucd5c\uc18c\uc778 \ud2b8\ub9ac\ub97c \ub9d0\ud569\ub2c8\ub2e4. \uc774 \uac1c\ub150\uc740 \ub124\ud2b8\uc6cc\ud06c \uc124\uacc4, \ub3c4\ub85c \uc5f0\uacb0, \ud074\ub7ec\uc2a4\ud130\ub9c1 \ub4f1 \ub2e4\uc591\ud55c \ubd84\uc57c\uc5d0\uc11c \ud65c\uc6a9\ub429\ub2c8\ub2e4. \ubb38\uc81c \uc124\uba85 \ubb38\uc81c\ub294 \ub2e4\uc74c\uacfc \uac19\uc2b5\ub2c8\ub2e4: \uc8fc\uc5b4\uc9c4 \ubb34\ubc29\ud5a5 \uac00\uc911 \uadf8\ub798\ud504\uc5d0\uc11c \ucd5c\uc18c \uc2e0\uc7a5 \ud2b8\ub9ac\ub97c \uad6c\ud558\ub294 \ud504\ub85c\uadf8\ub7a8\uc744 \uc791\uc131\ud558\uc2dc\uc624. \uadf8\ub798\ud504\ub294 … \ub354 \ubcf4\uae30 “\ud30c\uc774\uc36c \ucf54\ub529\ud14c\uc2a4\ud2b8 \uac15\uc88c, \ucd5c\uc18c \uc2e0\uc7a5 \ud2b8\ub9ac \uad6c\ud558\uae30”<\/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-27193","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 \uad6c\ud558\uae30 - \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\/27193\/\" \/>\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 \uad6c\ud558\uae30 - \ub77c\uc774\ube0c\uc2a4\ub9c8\ud2b8\" \/>\n<meta property=\"og:description\" content=\"\uc548\ub155\ud558\uc138\uc694! \uc624\ub298\uc740 \uadf8\ub798\ud504 \uc774\ub860\uc5d0\uc11c \uc911\uc694\ud55c \uac1c\ub150 \uc911 \ud558\ub098\uc778 \ucd5c\uc18c \uc2e0\uc7a5 \ud2b8\ub9ac(MST)\ub97c \uad6c\ud558\ub294 \ubc29\ubc95\uc5d0 \ub300\ud574 \uc54c\uc544\ubcf4\uaca0\uc2b5\ub2c8\ub2e4. \ucd5c\uc18c \uc2e0\uc7a5 \ud2b8\ub9ac\ub294 \uc5f0\uacb0\ub41c \ubaa8\ub4e0 \uc815\uc810\uc744 \ud3ec\ud568\ud558\uba74\uc11c\ub3c4 \uac04\uc120\uc758 \ucd1d \uac00\uc911\uce58\uac00 \ucd5c\uc18c\uc778 \ud2b8\ub9ac\ub97c \ub9d0\ud569\ub2c8\ub2e4. \uc774 \uac1c\ub150\uc740 \ub124\ud2b8\uc6cc\ud06c \uc124\uacc4, \ub3c4\ub85c \uc5f0\uacb0, \ud074\ub7ec\uc2a4\ud130\ub9c1 \ub4f1 \ub2e4\uc591\ud55c \ubd84\uc57c\uc5d0\uc11c \ud65c\uc6a9\ub429\ub2c8\ub2e4. \ubb38\uc81c \uc124\uba85 \ubb38\uc81c\ub294 \ub2e4\uc74c\uacfc \uac19\uc2b5\ub2c8\ub2e4: \uc8fc\uc5b4\uc9c4 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