{"id":26956,"date":"2024-10-27T11:54:00","date_gmt":"2024-10-27T11:54:00","guid":{"rendered":"http:\/\/atmokpo.com\/w\/?p=26956"},"modified":"2024-11-26T07:25:22","modified_gmt":"2024-11-26T07:25:22","slug":"%ec%9e%90%eb%b0%94-%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\/26956\/","title":{"rendered":"\uc790\ubc14 \ucf54\ub529\ud14c\uc2a4\ud2b8 \uac15\uc88c, \ud50c\ub85c\uc774\ub4dc-\uc6cc\uc15c"},"content":{"rendered":"

<\/p>\n

\uc548\ub155\ud558\uc138\uc694! \uc774\ubc88 \uac15\uc88c\uc5d0\uc11c\ub294 \uc790\ubc14 \ucf54\ub529\ud14c\uc2a4\ud2b8\uc5d0\uc11c \uc790\uc8fc \ucd9c\uc81c\ub418\ub294 \ud50c\ub85c\uc774\ub4dc-\uc6cc\uc15c \uc54c\uace0\ub9ac\uc998<\/strong>\uc5d0 \ub300\ud574 \ubc30\uc6cc\ubcf4\ub3c4\ub85d \ud558\uaca0\uc2b5\ub2c8\ub2e4. \ud50c\ub85c\uc774\ub4dc-\uc6cc\uc15c \uc54c\uace0\ub9ac\uc998\uc740 \ubaa8\ub4e0 \uc9c0\uc810\uc5d0\uc11c \ub2e4\ub978 \ubaa8\ub4e0 \uc9c0\uc810\uae4c\uc9c0\uc758 \ucd5c\ub2e8 \uacbd\ub85c\ub97c \ucc3e\ub294 \ub370 \ud6a8\uc728\uc801\uc778 \ubc29\ubc95\uc785\ub2c8\ub2e4. \ud2b9\ud788, \uadf8\ub798\ud504\uc758 \uc815\uc810 \uc218\uac00 \uc801\uc740 \uacbd\uc6b0 \uc720\uc6a9\ud558\uac8c \uc0ac\uc6a9\ub429\ub2c8\ub2e4. \uc774\ubc88 \uae00\uc5d0\uc11c\ub294 \ud50c\ub85c\uc774\ub4dc-\uc6cc\uc15c \uc54c\uace0\ub9ac\uc998\uc744 \uc801\uc6a9\ud55c \ubb38\uc81c\ub97c \ud480\uc5b4\ubcf4\uba70, \uadf8 \uacfc\uc815\uc744 \uc790\uc138\ud788 \uc124\uba85\ud558\uaca0\uc2b5\ub2c8\ub2e4.<\/p>\n

\ubb38\uc81c \uc124\uba85<\/h2>\n

\ub2e4\uc74c\uc740 \ud50c\ub85c\uc774\ub4dc-\uc6cc\uc15c \uc54c\uace0\ub9ac\uc998\uc744 \ud65c\uc6a9\ud55c \ubb38\uc81c\uc785\ub2c8\ub2e4.<\/p>\n

\n\ubb38\uc81c:<\/strong> \uc8fc\uc5b4\uc9c4 N\uac1c\uc758 \ub3c4\uc2dc\uc640 \ub3c4\uc2dc \uac04\uc758 \ub3c4\ub85c \uc815\ubcf4\ub97c \uc774\uc6a9\ud558\uc5ec, \ubaa8\ub4e0 \ub3c4\uc2dc \uac04\uc758 \ucd5c\ub2e8 \uacbd\ub85c\ub97c \uad6c\ud558\uc2dc\uc624. \n\uac01 \ub3c4\uc2dc\ub294 1\ubd80\ud130 N\uae4c\uc9c0 \ubc88\ud638\uac00 \ubd99\uc5b4 \uc788\uc73c\uba70, \ub3c4\ub85c\ub294 \uc591\ubc29\ud5a5\uc73c\ub85c \uc5f0\uacb0\ub418\uc5b4 \uc788\uc2b5\ub2c8\ub2e4. \n\ub3c4\ub85c \uc815\ubcf4\ub294 \ub2e4\uc74c\uacfc \uac19\uc740 \ud615\uc2dd\uc73c\ub85c \uc8fc\uc5b4\uc9d1\ub2c8\ub2e4: \n\nN  M\nx y z \n\n\uc5ec\uae30\uc11c N\uc740 \ub3c4\uc2dc\uc758 \uc218, M\uc740 \ub3c4\ub85c\uc758 \uc218, x\ub294 \ub3c4\ub85c\uc758 \ud55c \ucabd \ub3c4\uc2dc, y\ub294 \ub3c4\ub85c\uc758 \ub2e4\ub978 \ucabd \ub3c4\uc2dc, z\ub294 \ub450 \ub3c4\uc2dc \uac04\uc758 \uac70\ub9ac\uc785\ub2c8\ub2e4. \n\uc790\uc2e0\uacfc\uc758 \uac70\ub9ac(\uc608: 1\ubc88 \ub3c4\uc2dc\uc5d0\uc11c 1\ubc88 \ub3c4\uc2dc\uae4c\uc9c0\uc758 \uac70\ub9ac)\ub294 \ud56d\uc0c1 0\uc73c\ub85c \uc124\uc815\ub418\uc5b4 \uc788\uc2b5\ub2c8\ub2e4. \n\ub450 \ub3c4\uc2dc \uac04\uc758 \uc9c1\uc811\uc801\uc778 \ub3c4\ub85c\uac00 \uc5ec\ub7ec \uac1c \uc788\uc744 \uacbd\uc6b0, \uac70\ub9ac \uac12\uc774 \uac00\uc7a5 \uc791\uc740 \ub3c4\ub85c \uc815\ubcf4\ub9cc\uc744 \uace0\ub824\ud569\ub2c8\ub2e4.\n\n\uc785\ub825 \uc608\uc2dc:<\/strong>\n4 7\n1 2 4\n1 3 2\n2 3 5\n2 4 10\n3 4 3\n1 4 8\n3 1 3\n\n\ucd9c\ub825 \uc608\uc2dc:<\/strong>\n0 2 3 5\n2 0 5 3\n3 5 0 3\n5 3 3 0\n<\/pre>\n
\ubb38\uc81c \ud480\uc774 \uacfc\uc815<\/h2>\n
\uc774\uc81c \uc774 \ubb38\uc81c\ub97c \ud574\uacb0\ud558\uae30 \uc704\ud574 \ud50c\ub85c\uc774\ub4dc-\uc6cc\uc15c \uc54c\uace0\ub9ac\uc998\uc744 \uad6c\ud604\ud574 \ubcf4\uaca0\uc2b5\ub2c8\ub2e4. \ub2e4\uc74c\uc740 \uc54c\uace0\ub9ac\uc998\uc744 \ub2e8\uacc4\ubcc4\ub85c \uc124\uba85\ud55c \uac83\uc785\ub2c8\ub2e4.<\/p>\n
1. \ub370\uc774\ud130 \uad6c\uc870 \uc124\uc815<\/h3>\n
\uba3c\uc800, \ubaa8\ub4e0 \ub3c4\uc2dc \uac04\uc758 \uac70\ub9ac \uc815\ubcf4\ub97c \uc800\uc7a5\ud560 2\ucc28\uc6d0 \ubc30\uc5f4\uc744 \uc124\uc815\ud569\ub2c8\ub2e4. N\uac1c\uc758 \ub3c4\uc2dc\uac00 \uc788\uc73c\ubbc0\ub85c \ubc30\uc5f4\uc758 \ud06c\uae30\ub294 dist[N + 1][N + 1]<\/code>\uc73c\ub85c \ud569\ub2c8\ub2e4. \ubc30\uc5f4\uc758 \ubaa8\ub4e0 \uc694\uc18c\ub294 \ucd08\uae30\uac12\uc73c\ub85c \ubb34\ud55c\ub300(Integer.MAX_VALUE<\/code>)\ub85c \uc124\uc815\ud569\ub2c8\ub2e4. \uadf8\ub7ec\ub098 \uac01 \ub3c4\uc2dc\uc5d0\uc11c \uc790\uc2e0\uae4c\uc9c0\uc758 \uac70\ub9ac\ub294 0\uc73c\ub85c \uc124\uc815\ud569\ub2c8\ub2e4.<\/p>\n
int[][] dist = new int[N + 1][N + 1];\n\nfor (int i = 1; i <= N; i++) {\n    Arrays.fill(dist[i], Integer.MAX_VALUE);\n    dist[i][i] = 0;\n}<\/code><\/pre>\n
2. \ub3c4\ub85c \uc815\ubcf4\ub97c \uc785\ub825\ubc1b\uc544 \uac70\ub9ac \ubc30\uc5f4 \ucd08\uae30\ud654<\/h3>\n
\uc785\ub825\ubc1b\uc740 \ub3c4\ub85c \uc815\ubcf4\ub97c \ud1b5\ud574 \uac01 \ub3c4\uc2dc \uac04\uc758 \uac70\ub9ac \uc815\ubcf4\ub97c \uc124\uc815\ud569\ub2c8\ub2e4. \ub9cc\uc57d \ub450 \ub3c4\uc2dc \uac04\uc5d0 \uc5ec\ub7ec \uac1c\uc758 \ub3c4\ub85c\uac00 \uc8fc\uc5b4\uc9c4 \uacbd\uc6b0, \uac70\ub9ac \ubc30\uc5f4\uc5d0\ub294 \uac00\uc7a5 \uc9e7\uc740 \uac70\ub9ac\ub9cc \uc800\uc7a5\ud569\ub2c8\ub2e4.<\/p>\n
for (int i = 0; i < M; i++) {\n    int x = sc.nextInt();\n    int y = sc.nextInt();\n    int z = sc.nextInt();\n    dist[x][y] = Math.min(dist[x][y], z);\n    dist[y][x] = Math.min(dist[y][x], z);\n}<\/code><\/pre>\n
3. \ud50c\ub85c\uc774\ub4dc-\uc6cc\uc15c \uc54c\uace0\ub9ac\uc998 \uad6c\ud604<\/h3>\n
\ud50c\ub85c\uc774\ub4dc-\uc6cc\uc15c \uc54c\uace0\ub9ac\uc998\uc758 \ud575\uc2ec\uc740 \uc0bc\uc911 \ub8e8\ud504\ub97c \ud1b5\ud574 \ubaa8\ub4e0 \uc9dd\uc758 \ucd5c\ub2e8 \uac70\ub9ac\ub97c \ubc18\ubcf5\uc801\uc73c\ub85c \uc5c5\ub370\uc774\ud2b8\ud558\ub294 \uac83\uc785\ub2c8\ub2e4. \uc544\ub798\ub294 \ud50c\ub85c\uc774\ub4dc-\uc6cc\uc15c \uc54c\uace0\ub9ac\uc998\uc758 \uad6c\ud604 \ucf54\ub4dc\uc785\ub2c8\ub2e4.<\/p>\n
for (int k = 1; k <= N; k++) {\n    for (int i = 1; i <= N; i++) {\n        for (int j = 1; j <= N; j++) {\n            if (dist[i][j] > dist[i][k] + dist[k][j]) {\n                dist[i][j] = dist[i][k] + dist[k][j];\n            }\n        }\n    }\n}<\/code><\/pre>\n
4. \uacb0\uacfc \ucd9c\ub825<\/h3>\n
\ub9c8\uc9c0\ub9c9\uc73c\ub85c \ubaa8\ub4e0 \ub3c4\uc2dc \uac04\uc758 \ucd5c\ub2e8 \uacbd\ub85c\ub97c \ucd9c\ub825\ud569\ub2c8\ub2e4. 1\ubc88 \ub3c4\uc2dc\ubd80\ud130 N\ubc88 \ub3c4\uc2dc\uae4c\uc9c0\uc758 \uac70\ub9ac\ub97c \ucc28\ub840\ub300\ub85c \ucd9c\ub825\ud569\ub2c8\ub2e4.<\/p>\n
for (int i = 1; i <= N; i++) {\n    for (int j = 1; j <= N; j++) {\n        if (dist[i][j] == Integer.MAX_VALUE) {\n            System.out.print(\"INF \");\n        } else {\n            System.out.print(dist[i][j] + \" \");\n        }\n    }\n    System.out.println();\n}<\/code><\/pre>\n
\uc804\uccb4 \ucf54\ub4dc<\/h2>\n
\uc774\uc81c \uc704\uc758 \ubaa8\ub4e0 \uacfc\uc815\uc744 \ud558\ub098\uc758 \uc790\ubc14 \ud504\ub85c\uadf8\ub7a8\uc73c\ub85c \ud1b5\ud569\ud574 \ubcf4\uaca0\uc2b5\ub2c8\ub2e4. \uc544\ub798\ub294 \ubb38\uc81c\ub97c \ud574\uacb0\ud558\uae30 \uc704\ud55c \uc804\uccb4 \uc790\ubc14 \ucf54\ub4dc\uc785\ub2c8\ub2e4.<\/p>\n
import java.util.Arrays;\nimport java.util.Scanner;\n\npublic class FloydWarshall {\n    public static void main(String[] args) {\n        Scanner sc = new Scanner(System.in);\n        int N = sc.nextInt(); \/\/ \ub3c4\uc2dc\uc758 \uc218\n        int M = sc.nextInt(); \/\/ \ub3c4\ub85c\uc758 \uc218\n\n        int[][] dist = new int[N + 1][N + 1];\n\n        \/\/ \ucd08\uae30\ud654\n        for (int i = 1; i <= N; i++) {\n            Arrays.fill(dist[i], Integer.MAX_VALUE);\n            dist[i][i] = 0; \/\/ \uc790\uae30 \uc790\uc2e0\uacfc\uc758 \uac70\ub9ac\ub294 0\n        }\n\n        \/\/ \ub3c4\ub85c \uc815\ubcf4 \uc785\ub825\n        for (int i = 0; i < M; i++) {\n            int x = sc.nextInt();\n            int y = sc.nextInt();\n            int z = sc.nextInt();\n            dist[x][y] = Math.min(dist[x][y], z);\n            dist[y][x] = Math.min(dist[y][x], z);\n        }\n\n        \/\/ \ud50c\ub85c\uc774\ub4dc-\uc6cc\uc15c \uc54c\uace0\ub9ac\uc998\n        for (int k = 1; k <= N; k++) {\n            for (int i = 1; i <= N; i++) {\n                for (int j = 1; j <= N; j++) {\n                    if (dist[i][j] > dist[i][k] + dist[k][j]) {\n                        dist[i][j] = dist[i][k] + dist[k][j];\n                    }\n                }\n            }\n        }\n\n        \/\/ \uacb0\uacfc \ucd9c\ub825\n        for (int i = 1; i <= N; i++) {\n            for (int j = 1; j <= N; j++) {\n                if (dist[i][j] == Integer.MAX_VALUE) {\n                    System.out.print(\"INF \");\n                } else {\n                    System.out.print(dist[i][j] + \" \");\n                }\n            }\n            System.out.println();\n        }\n    }\n}<\/code><\/pre>\n
\uc815\ub9ac<\/h2>\n
\uc774\ubc88 \uac15\uc88c\uc5d0\uc11c\ub294 \ud50c\ub85c\uc774\ub4dc-\uc6cc\uc15c \uc54c\uace0\ub9ac\uc998\uc744 \uc774\uc6a9\ud558\uc5ec \ub3c4\uc2dc \uac04\uc758 \ucd5c\ub2e8 \uacbd\ub85c\ub97c \uad6c\ud558\ub294 \ubb38\uc81c\ub97c \ud574\uacb0\ud574 \ubcf4\uc558\uc2b5\ub2c8\ub2e4. \uc774 \uc54c\uace0\ub9ac\uc998\uc740 \ubaa8\ub4e0 \uc30d\uc758 \ucd5c\ub2e8 \uacbd\ub85c\ub97c \uad6c\ud558\ub294 \ub370 \uc720\uc6a9\ud558\uac8c \uc0ac\uc6a9\ud560 \uc218 \uc788\uc73c\uba70, \ucf54\ub4dc\uc758 \uad6c\uc870\uc640 \ub85c\uc9c1\uc744 \uc774\ud574\ud558\ub294 \ub370 \ud070 \ub3c4\uc6c0\uc774 \ub418\uc5c8\uc744 \uac83\uc785\ub2c8\ub2e4. \uc2e4\uc81c \ucf54\ub529\ud14c\uc2a4\ud2b8\uc5d0\uc11c\ub294 \uc774\ub7ec\ud55c \uc54c\uace0\ub9ac\uc998\uc744 \ud65c\uc6a9\ud558\uc5ec \ud6a8\uc728\uc801\uc778 \ubb38\uc81c \ud574\uacb0 \ub2a5\ub825\uc744 \ud0a4\uc6b0\ub294 \uac83\uc774 \uc911\uc694\ud569\ub2c8\ub2e4.<\/p>\n
\n\ucc38\uace0:<\/strong> \ud50c\ub85c\uc774\ub4dc-\uc6cc\uc15c \uc54c\uace0\ub9ac\uc998\uc758 \uc2dc\uac04 \ubcf5\uc7a1\ub3c4\ub294 O(N^3)<\/code>\uc774\ubbc0\ub85c, \uadf8\ub798\ud504\uc758 \uc815\uc810 \uc218\uac00 \ub9ce\uc744 \uacbd\uc6b0 \ub2e4\ub978 \ucd5c\ub2e8 \uacbd\ub85c \uc54c\uace0\ub9ac\uc998(\uc608: \ub2e4\uc775\uc2a4\ud2b8\ub77c \uc54c\uace0\ub9ac\uc998)\uc744 \uace0\ub824\ud558\ub294 \uac83\uc774 \uc88b\uc2b5\ub2c8\ub2e4.\n<\/div>\n
\uc55e\uc73c\ub85c\ub3c4 \uc54c\ub9b4\ub8e8\uc57c \ucf54\ub529\ud14c\uc2a4\ud2b8 \uac15\uc88c\uc5d0\uc11c \ub2e4\uc591\ud55c \uc54c\uace0\ub9ac\uc998\uc744 \uc18c\uac1c\ud558\uaca0\uc2b5\ub2c8\ub2e4. \uac10\uc0ac\ud569\ub2c8\ub2e4!<\/p>\n
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