\ub2e4\uc775\uc2a4\ud2b8\ub77c \uc54c\uace0\ub9ac\uc998(Dijkstra’s Algorithm)\uc740 \uadf8\ub798\ud504\uc5d0\uc11c \ud55c \uc815\uc810\uc5d0\uc11c \ub2e4\ub978 \uc815\uc810\uae4c\uc9c0\uc758 \ucd5c\ub2e8 \uacbd\ub85c\ub97c \ucc3e\ub294 \ub370 \ub9e4\uc6b0 \uc720\uc6a9\ud55c \uc54c\uace0\ub9ac\uc998\uc785\ub2c8\ub2e4. \ud2b9\ud788 \uac00\uc911\uce58\uac00 \uc788\ub294 \uadf8\ub798\ud504\uc5d0\uc11c \ucd5c\ub2e8 \uacbd\ub85c\ub97c \uad6c\ud558\ub294 \ub370 \uc0ac\uc6a9\ub429\ub2c8\ub2e4. \ubcf8 \uac15\uc88c\uc5d0\uc11c\ub294 \ub2e4\uc775\uc2a4\ud2b8\ub77c \uc54c\uace0\ub9ac\uc998\uc758 \uc6d0\ub9ac\ub97c \uc774\ud574\ud558\uace0, C++\uc744 \uc0ac\uc6a9\ud558\uc5ec \uadf8 \uad6c\ud604 \ubc29\ubc95\uc744 \ubc30\uc6cc\ubcf4\uaca0\uc2b5\ub2c8\ub2e4.<\/p>\n
\uc8fc\uc5b4\uc9c4 N\uac1c\uc758 \ub3c4\uc2dc\uc640 M\uac1c\uc758 \ub3c4\ub85c\uac00 \uc788\uc744 \ub54c, \ud55c \ub3c4\uc2dc\uc5d0\uc11c \ub2e4\ub978 \ub3c4\uc2dc\ub85c \uac00\ub294 \ucd5c\uc18c \ube44\uc6a9\uc744 \uad6c\ud558\uc2dc\uc624. \uac01 \ub3c4\uc2dc\ub294 \uc815\uc810\uc73c\ub85c \ud45c\ud604\ub418\uace0 \ub3c4\ub85c\ub294 \uadf8\ub798\ud504\uc5d0\uc11c \uac04\uc120\uc73c\ub85c \ud45c\ud604\ub429\ub2c8\ub2e4.<\/p>\n
\ub3c4\uc2dc\uc640 \ub3c4\ub85c\uc5d0 \ub300\ud55c \uc815\ubcf4\ub294 \ub2e4\uc74c\uacfc \uac19\uc2b5\ub2c8\ub2e4:<\/p>\n
\uc608\ub97c \ub4e4\uc5b4, 5\uac1c\uc758 \ub3c4\uc2dc\uc640 6\uac1c\uc758 \ub3c4\ub85c\uac00 \uc788\ub294 \uadf8\ub798\ud504\uac00 \uc8fc\uc5b4\uc9c4\ub2e4\uba74, \ub2e4\uc74c\uacfc \uac19\uc740 \ud615\ud0dc\ub85c \uc785\ub825\ub429\ub2c8\ub2e4:<\/p>\n
\n5 6\n1 2 4\n1 3 2\n2 3 5\n1 4 1\n4 3 3\n2 5 7\n <\/pre>\n\uc785\ub825 \ud615\uc2dd<\/h2>\n
\n1\ubc88\uc9f8 \uc904: N M\n2\ubc88\uc9f8 \uc904\ubd80\ud130 M\ubc88\uc9f8 \uc904: A B C (\uac01 \ub3c4\ub85c\uc5d0 \ub300\ud55c \uc815\ubcf4)\n <\/pre>\n\ucd9c\ub825 \ud615\uc2dd<\/h2>\n
\n\uac01 \ub3c4\uc2dc(1~N)\uc5d0 \ub300\ud55c \ucd5c\uc18c \ube44\uc6a9\uc744 \ucd9c\ub825\ud55c\ub2e4. \n\ubd88\uac00\ub2a5\ud55c \uacbd\uc6b0 -1\uc744 \ucd9c\ub825\ud55c\ub2e4.\n <\/pre>\n\uc608\uc81c \uc785\ub825<\/h3>\n
\n5 7\n1 2 2\n1 3 3\n2 3 1\n2 4 4\n3 4 2\n3 5 5\n4 5 1\n <\/pre>\n\uc608\uc81c \ucd9c\ub825<\/h3>\n
\n1\n2\n3\n3\n4\n <\/pre>\n\uc54c\uace0\ub9ac\uc998 \uc124\uba85<\/h2>\n
\ub2e4\uc775\uc2a4\ud2b8\ub77c \uc54c\uace0\ub9ac\uc998\uc740 \ud55c \uc815\uc810\uc5d0\uc11c \ucd9c\ubc1c\ud558\uc5ec \ub2e4\ub978 \uc815\uc810\uae4c\uc9c0\uc758 \ucd5c\ub2e8 \uacbd\ub85c\ub97c \ucc3e\uae30 \uc704\ud574 \uadf8\ub9ac\ub514 \ubc29\uc2dd\uc73c\ub85c \uc791\ub3d9\ud569\ub2c8\ub2e4. \uae30\ubcf8\uc801\uc778 \uad6c\uc0c1\uc740 \ub2e4\uc74c\uacfc \uac19\uc2b5\ub2c8\ub2e4:<\/p>\n
\n
- \ubaa8\ub4e0 \uc815\uc810\uae4c\uc9c0\uc758 \ucd08\uae30 \uac70\ub9ac\ub97c \ubb34\ud55c\ub300\ub85c \uc124\uc815\ud558\uace0, \uc2dc\uc791 \uc815\uc810\uc758 \uac70\ub9ac\ub294 0\uc73c\ub85c \uc124\uc815\ud569\ub2c8\ub2e4.<\/li>\n
- \uac00\uc7a5 \uc9e7\uc740 \uac70\ub9ac\ub97c \uac00\uc9c4 \uc815\uc810\uc744 \uc120\ud0dd\ud558\uace0, \uadf8 \uc815\uc810\uc5d0 \uc778\uc811\ud55c \ubaa8\ub4e0 \uc815\uc810\uc758 \uac70\ub9ac\ub97c \uc5c5\ub370\uc774\ud2b8\ud569\ub2c8\ub2e4.<\/li>\n
- \ubaa8\ub4e0 \uc815\uc810\uc5d0 \ub300\ud55c \uac70\ub9ac\uac00 \uc5c5\ub370\uc774\ud2b8\ub420 \ub54c\uae4c\uc9c0 \uc774 \uacfc\uc815\uc744 \ubc18\ubcf5\ud569\ub2c8\ub2e4.<\/li>\n<\/ol>\n
\uad6c\ud604 \ub2e8\uacc4<\/h3>\n
\n
- \uadf8\ub798\ud504 \uc0dd\uc131: \uc778\uc811 \ub9ac\uc2a4\ud2b8\ub97c \uc0ac\uc6a9\ud558\uc5ec \uadf8\ub798\ud504\ub97c \ud45c\ud604\ud569\ub2c8\ub2e4.<\/li>\n
- \uc6b0\uc120\uc21c\uc704 \ud050 \ud65c\uc6a9: \uac00\uc7a5 \uc9e7\uc740 \uacbd\ub85c\ub97c \ucc3e\uae30 \uc704\ud574 \uc6b0\uc120\uc21c\uc704 \ud050(\ud799)\ub97c \uc0ac\uc6a9\ud569\ub2c8\ub2e4.<\/li>\n
- \uac70\ub9ac \ubc30\uc5f4 \ucd08\uae30\ud654: \uac01 \uc815\uc810\uc5d0 \ub300\ud55c \uac70\ub9ac\ub97c \ucd08\uae30\ud654\ud569\ub2c8\ub2e4.<\/li>\n
- \ucd5c\ub2e8 \uacbd\ub85c \uacc4\uc0b0: \ucd5c\uc18c \uac70\ub9ac \uac31\uc2e0 \uacfc\uc815\uc744 \ubc18\ubcf5\ud569\ub2c8\ub2e4.<\/li>\n<\/ol>\n
C++ \ucf54\ub4dc \uad6c\ud604<\/h2>\n
\n#include <iostream>\n#include <vector>\n#include <queue>\n#include <utility>\n#include <limits>\n\nusing namespace std;\n\nvector<pair<int, int>> graph[100001];\nvector<int> dist;\n\nvoid dijkstra(int start) {\n priority_queue<pair<int, int>, vector<pair<int, int>>, greater<pair<int, int>>> pq;\n dist[start] = 0;\n pq.push(make_pair(0, start));\n\n while (!pq.empty()) {\n int currentDist = pq.top().first;\n int currentNode = pq.top().second;\n pq.pop();\n\n if (currentDist > dist[currentNode]) continue;\n\n for (auto edge : graph[currentNode]) {\n int next = edge.first;\n int weight = edge.second;\n\n if (dist[currentNode] + weight < dist[next]) {\n dist[next] = dist[currentNode] + weight;\n pq.push(make_pair(dist[next], next));\n }\n }\n }\n}\n\nint main() {\n int N, M;\n cin >> N >> M;\n dist.resize(N + 1, numeric_limits<int>::max());\n\n for (int i = 0; i < M; i++) {\n int A, B, C;\n cin >> A >> B >> C;\n graph[A].push_back(make_pair(B, C));\n graph[B].push_back(make_pair(A, C)); \/\/ \ubb34\ud5a5 \uadf8\ub798\ud504\uc77c \uacbd\uc6b0\n }\n\n dijkstra(1); \/\/ 1\ubc88 \ub3c4\uc2dc\uc5d0\uc11c \uc2dc\uc791\n\n for (int i = 1; i <= N; i++) {\n if (dist[i] == numeric_limits<int>::max()) {\n cout << -1 << &endl\n } else {\n cout << dist[i] << &endl\n }\n }\n\n return 0;\n}\n <\/pre>\n\ucf54\ub4dc \uc124\uba85<\/h2>\n
\uc704\uc758 \ucf54\ub4dc\uc5d0\uc11c\ub294 \ub2e4\uc74c\uacfc \uac19\uc740 \ubc29\uc2dd\uc73c\ub85c \ub2e4\uc775\uc2a4\ud2b8\ub77c \uc54c\uace0\ub9ac\uc998\uc744 \uad6c\ud604\ud569\ub2c8\ub2e4:<\/p>\n
\n
- \uc778\uc811 \ub9ac\uc2a4\ud2b8 \uc0dd\uc131:<\/strong> \uc8fc\uc5b4\uc9c4 \ub3c4\uc2dc\uc640 \ub3c4\ub85c \uc815\ubcf4\ub97c \uc77d\uace0, \uadf8\ub798\ud504\ub97c \uc778\uc811 \ub9ac\uc2a4\ud2b8 \ud615\ud0dc\ub85c \ud45c\ud604\ud569\ub2c8\ub2e4.<\/li>\n
- \uc6b0\uc120\uc21c\uc704 \ud050:<\/strong> \ucd5c\uc18c \uac70\ub9ac\ub97c \ucc3e\uae30 \uc704\ud574 \uc6b0\uc120\uc21c\uc704 \ud050\ub97c \uc0ac\uc6a9\ud558\uc5ec \uac00\uc7a5 \uc9e7\uc740 \uac70\ub9ac\ub97c \uacc4\uc18d\ud574\uc11c \ucd94\ucd9c\ud569\ub2c8\ub2e4.<\/li>\n
- \uac70\ub9ac \uac31\uc2e0:<\/strong> \ud604\uc7ac \uc815\uc810\uc5d0\uc11c \uc778\uc811\ud55c \uc815\uc810\uc73c\ub85c \uc774\ub3d9\ud560 \ub54c \uc0c8\ub85c\uc6b4 \uac70\ub9ac\uac00 \ub354 \uc9e7\uc73c\uba74 \uac70\ub9ac\ub97c \uac31\uc2e0\ud569\ub2c8\ub2e4.<\/li>\n
- \ucd5c\uc885 \uacb0\uacfc \ucd9c\ub825:<\/strong> \uac01 \ub3c4\uc2dc\uae4c\uc9c0\uc758 \ucd5c\ub2e8 \uac70\ub9ac\ub97c \ucd9c\ub825\ud569\ub2c8\ub2e4. \ub3c4\ub2ec\ud560 \uc218 \uc5c6\ub294 \ub3c4\uc2dc\uc758 \uacbd\uc6b0 -1\uc744 \ucd9c\ub825\ud569\ub2c8\ub2e4.<\/li>\n<\/ul>\n
\ubcf5\uc2b5 \ubc0f \ub9c8\ubb34\ub9ac<\/h2>\n
\uc774\ubc88 \uac15\uc88c\ub97c \ud1b5\ud574 \ub2e4\uc775\uc2a4\ud2b8\ub77c \uc54c\uace0\ub9ac\uc998\uc758 \uc791\ub3d9 \uc6d0\ub9ac\ub97c \uc774\ud574\ud558\uace0, C++\ub85c \uad6c\ud604\ud558\ub294 \ubc29\ubc95\uc744 \ubc30\uc6e0\uc2b5\ub2c8\ub2e4. \uc54c\uace0\ub9ac\uc998\uacfc \uc790\ub8cc\uad6c\uc870\ub294 \ucf54\ub529 \ud14c\uc2a4\ud2b8\uc5d0\uc11c \ub9e4\uc6b0 \uc911\uc694\ud55c \uc8fc\uc81c\uc774\uba70, \ub2e4\uc775\uc2a4\ud2b8\ub77c \uc54c\uace0\ub9ac\uc998\uc740 \ud2b9\ud788 \uadf8\ub798\ud504 \uad00\ub828 \ubb38\uc81c\uc5d0\uc11c \ub9ce\uc774 \ud65c\uc6a9\ub429\ub2c8\ub2e4. \ucd94\uac00\uc801\uc73c\ub85c BFS, DFS\uc640 \uac19\uc740 \uadf8\ub798\ud504 \ud0d0\uc0c9 \uc54c\uace0\ub9ac\uc998\ub3c4 \uc5f0\uc2b5\ud574\ubcf4\uc2dc\uae30 \ubc14\ub78d\ub2c8\ub2e4.<\/p>\n
\ub2e4\uc775\uc2a4\ud2b8\ub77c \uc54c\uace0\ub9ac\uc998\uc744 \uc2ec\ud654 \ud559\uc2b5\ud558\uae30 \uc704\ud574\uc11c\ub294 \ub2e4\uc591\ud55c \ubb38\uc81c\ub97c \ud480\uc5b4\ubcf4\uace0, \ub2e4\ub978 \uc54c\uace0\ub9ac\uc998\uacfc \ube44\uad50\ud574\ubcf4\ub294 \uac83\uc774 \ub3c4\uc6c0\uc774 \ub429\ub2c8\ub2e4. \ub2e4\uc74c \ubc88\uc5d0\ub294 \ubca8\ub9cc-\ud3ec\ub4dc \uc54c\uace0\ub9ac\uc998\uc774\ub098 \ud50c\ub85c\uc774\ub4dc-\uc6cc\uc15c \uc54c\uace0\ub9ac\uc998\uc5d0 \ub300\ud574\uc11c\ub3c4 \uc54c\uc544\ubcf4\ub3c4\ub85d \ud558\uaca0\uc2b5\ub2c8\ub2e4. \uac10\uc0ac\ud569\ub2c8\ub2e4!<\/p>\n<\/div>\n
<\/body><\/p>\n","protected":false},"excerpt":{"rendered":"