{"id":199316,"date":"2024-05-10T00:58:07","date_gmt":"2024-05-09T16:58:07","guid":{"rendered":"https:\/\/docs.pingcode.com\/ask\/ask-ask\/199316.html"},"modified":"2024-05-10T00:58:12","modified_gmt":"2024-05-09T16:58:12","slug":"%e5%8f%af%e8%be%be%e7%9f%a9%e9%98%b5%e7%ae%97%e6%b3%95%e7%9a%84%e5%8e%9f%e7%90%86%e6%98%af%e4%bb%80%e4%b9%88","status":"publish","type":"post","link":"https:\/\/docs.pingcode.com\/ask\/ask-ask\/199316.html","title":{"rendered":"\u53ef\u8fbe\u77e9\u9635\u7b97\u6cd5\u7684\u539f\u7406\u662f\u4ec0\u4e48"},"content":{"rendered":"<p style=\"text-align:center\"><img decoding=\"async\" src=\"https:\/\/cdn-kb.worktile.com\/kb\/wp-content\/uploads\/2024\/04\/24140705\/558ce60f-5cf1-4283-965d-9d3748e1ead3.webp\" alt=\"\u53ef\u8fbe\u77e9\u9635\u7b97\u6cd5\u7684\u539f\u7406\u662f\u4ec0\u4e48\" \/><\/p>\n<p><p>\u53ef\u8fbe\u77e9\u9635\u7b97\u6cd5\u7684\u539f\u7406\u5305\u62ec\u8bc4\u4f30\u7f51\u7edc\u4e2d\u5404\u9876\u70b9\u4e4b\u95f4\u7684\u53ef\u8fbe\u6027\u3001\u8fed\u4ee3\u66f4\u65b0\u53ef\u8fbe\u8def\u5f84\u3001\u4e0e\u56fe\u7684\u4f20\u9012\u95ed\u5305\u76f4\u63a5\u76f8\u5173\u7b49\u3002\u5177\u4f53\u6765\u8bf4\uff0c<strong>\u7b97\u6cd5\u901a\u8fc7\u8ba1\u7b97\u4e00\u4e2a\u8868\u793a\u9876\u70b9\u95f4\u53ef\u8fbe\u6027\u7684\u77e9\u9635\u6765\u5b9e\u73b0\u3001\u4f9d\u8d56\u4e8e\u52a8\u6001\u89c4\u5212\u6280\u672f\u8fdb\u884c\u6709\u6548\u8ba1\u7b97<\/strong>\u3002\u8be5\u77e9\u9635\u521d\u59cb\u586b\u5145\u57fa\u4e8e\u56fe\u4e2d\u7684\u76f4\u63a5\u8fde\u63a5\uff0c\u6bcf\u6b21\u8fed\u4ee3\u8003\u8651\u65b0\u589e\u52a0\u7684\u8def\u5f84\uff0c\u6700\u7ec8\u83b7\u5f97\u4e00\u4e2a\u6240\u6709\u9876\u70b9\u5bf9\u662f\u5426\u53ef\u8fbe\u7684\u5b8c\u6574\u4fe1\u606f\u3002<strong>\u5176\u6838\u5fc3\u5728\u4e8e\uff0c\u901a\u8fc7\u6709\u9650\u6b21\u7684\u77e9\u9635\u66f4\u65b0\u8fed\u4ee3\uff0c\u6765\u786e\u5b9a\u4efb\u610f\u4e24\u4e2a\u9876\u70b9\u95f4\u662f\u5426\u5b58\u5728\u8def\u5f84<\/strong>\u3002<\/p>\n<\/p>\n<p><p>\u8fd9\u53ef\u8fdb\u4e00\u6b65\u5212\u5206\u4e3a\uff1a<\/p>\n<\/p>\n<ol>\n<li>\u521d\u59cb\u5316\u9636\u6bb5\uff1a\u5728\u6b64\u9636\u6bb5\u6784\u9020\u4e00\u4e2a\u77e9\u9635\uff0c\u5176\u4e2d\u77e9\u9635\u7684\u5143\u7d20\u8868\u793a\u56fe\u4e2d\u5bf9\u5e94\u7684\u4e24\u4e2a\u9876\u70b9\u662f\u5426\u76f4\u63a5\u76f8\u8fde\uff1b<\/li>\n<li>\u8fed\u4ee3\u66f4\u65b0\u9636\u6bb5\uff1a\u5728\u8fd9\u4e2a\u9636\u6bb5\uff0c\u7b97\u6cd5\u9010\u6e10\u66f4\u65b0\u77e9\u9635\u4e2d\u7684\u5143\u7d20\uff0c\u5c06\u95f4\u63a5\u8def\u5f84\u4e5f\u8003\u8651\u8fdb\u6765\uff0c\u6700\u7ec8\u83b7\u5f97\u5b8c\u6574\u7684\u53ef\u8fbe\u6027\u4fe1\u606f\u3002<\/li>\n<\/ol>\n<p><h3>\u4e00\u3001\u521d\u59cb\u5316\u9636\u6bb5<\/h3>\n<\/p>\n<p><p>\u5728\u521d\u59cb\u5316\u9636\u6bb5\uff0c\u6211\u4eec\u6784\u5efa\u4e86\u4e00\u4e2a\u79f0\u4e3a\u53ef\u8fbe\u77e9\u9635\u6216\u90bb\u63a5\u77e9\u9635\u7684\u57fa\u7840\u4e8c\u7ef4\u6570\u7ec4\u3002\u5047\u8bbe\u6709\u4e00\u4e2a\u6709\u5411\u56fe G\uff0c\u8be5\u56fe\u7531\u4e00\u7ec4\u9876\u70b9\u4ee5\u53ca\u8fde\u63a5\u8fd9\u4e9b\u9876\u70b9\u7684\u8fb9\u7ec4\u6210\u3002\u56fe G \u7684\u53ef\u8fbe\u77e9\u9635 A \u7684\u5927\u5c0f\u4e3a n\u00d7n\uff0c\u5176\u4e2d n \u662f\u9876\u70b9\u7684\u6570\u91cf\uff0c\u77e9\u9635\u4e2d\u7684\u5143\u7d20 A[i][j] \u8868\u793a\u662f\u5426\u5b58\u5728\u4e00\u6761\u76f4\u63a5\u4ece\u9876\u70b9 i \u5230\u9876\u70b9 j \u7684\u8fb9\u3002<\/p>\n<\/p>\n<p><p>\u7b2c\u4e8c\u6b65\uff0c\u662f\u8bbe\u7f6e\u77e9\u9635\u4e2d\u7684\u521d\u59cb\u503c\u3002\u5982\u679c\u5728\u56fe G \u4e2d\u9876\u70b9 i \u4e0e\u9876\u70b9 j \u4e4b\u95f4\u6709\u4e00\u6761\u76f4\u63a5\u7684\u8fb9\uff0c\u90a3\u4e48\u77e9\u9635 A \u4e2d\u76f8\u5e94\u7684\u5143\u7d20 A[i][j] \u88ab\u8bbe\u4e3a 1\uff08\u6216\u8005\u662f\u8fb9\u7684\u6743\u91cd\uff0c\u5982\u679c\u6211\u4eec\u8003\u8651\u5e26\u6743\u56fe\u7684\u60c5\u51b5\uff09\u3002\u5982\u679c\u6ca1\u6709\u76f4\u63a5\u8fb9\u8fde\u63a5\uff0c\u90a3\u4e48 A[i][j] \u5c31\u88ab\u8bbe\u4e3a 0\u3002\u5bf9\u4e8e\u6240\u6709\u7684\u9876\u70b9 i\uff0cA[i][i] \u603b\u662f\u8bbe\u4e3a 1\uff0c\u56e0\u4e3a\u6bcf\u4e2a\u9876\u70b9\u90fd\u4e0e\u81ea\u8eab\u53ef\u8fbe\u3002<\/p>\n<\/p>\n<p><h3>\u4e8c\u3001\u8fed\u4ee3\u66f4\u65b0\u9636\u6bb5<\/h3>\n<\/p>\n<p><p>\u5728\u8fed\u4ee3\u66f4\u65b0\u9636\u6bb5\uff0c\u7b97\u6cd5\u9010\u6b65\u66f4\u65b0\u77e9\u9635\u4e2d\u7684\u503c\uff0c\u8003\u8651\u901a\u8fc7\u4e2d\u95f4\u9876\u70b9\u95f4\u63a5\u8fbe\u5230\u5176\u4ed6\u9876\u70b9\u7684\u60c5\u51b5\u3002\u8fd9\u4e2a\u9636\u6bb5\u662f\u57fa\u4e8e\u52a8\u6001\u89c4\u5212\u601d\u60f3\u7684\uff1a<\/p>\n<\/p>\n<p><p>\u6211\u4eec\u5df2\u7ecf\u77e5\u9053 A[i][j] \u8868\u793a\u4ece\u9876\u70b9 i \u5230\u9876\u70b9 j \u7684\u76f4\u63a5\u53ef\u8fbe\u6027\u3002\u5728\u8fed\u4ee3\u8fc7\u7a0b\u4e2d\uff0c\u5982\u679c\u6211\u4eec\u5df2\u7ecf\u77e5\u9053\u53ef\u4ee5\u901a\u8fc7\u67d0\u4e2a\u4e2d\u95f4\u9876\u70b9 k \u4ece\u9876\u70b9 i \u5230\u8fbe\u9876\u70b9 j\uff0c\u90a3\u4e48\u5982\u679c A[i][k] \u548c A[k][j] \u90fd\u4e3a 1\uff0c\u5373\u8868\u793a\u9876\u70b9 i \u53ef\u4ee5\u901a\u8fc7\u9876\u70b9 k \u5230\u8fbe\u9876\u70b9 j\uff0c\u90a3\u4e48\u53ef\u4ee5\u63a8\u65ad\u51fa A[i][j] = 1\u3002<\/p>\n<\/p>\n<p><p>\u56e0\u6b64\uff0c\u5728\u6bcf\u6b21\u8fed\u4ee3\u4e2d\uff0c\u6211\u4eec\u5faa\u73af\u904d\u5386\u6240\u6709\u53ef\u80fd\u7684\u4e2d\u95f4\u9876\u70b9 k\uff0c\u5e76\u5bf9\u6bcf\u5bf9\u9876\u70b9 (i, j) \u8fdb\u884c\u66f4\u65b0\uff1a\u5982\u679c A[i][k] \u548c A[k][j] \u90fd\u4e3a 1\uff0c\u5219 A[i][j] \u4e5f\u5e94\u8be5\u662f 1\u3002<\/p>\n<p>\u8fd9\u4e2a\u8fc7\u7a0b\u9700\u8981\u91cd\u590d n \u6b21\uff0c\u5176\u4e2d n \u662f\u56fe\u4e2d\u9876\u70b9\u7684\u6570\u91cf\u3002\u7ecf\u8fc7\u8fd9\u4e9b\u8fed\u4ee3\u540e\uff0c\u5982\u679c A[i][j] \u7684\u503c\u4e3a 1\uff0c\u5219\u8868\u793a\u5b58\u5728\u4ece\u9876\u70b9 i \u5230\u9876\u70b9 j \u7684\u8def\u5f84\uff1b\u5982\u679c\u503c\u4e3a 0\uff0c\u5219\u8868\u793a\u6ca1\u6709\u8def\u5f84\u3002<\/p>\n<\/p>\n<p><p>\u8be5\u7b97\u6cd5\u7684\u6838\u5fc3\u601d\u60f3\u88ab\u5e7f\u6cdb\u5e94\u7528\u4e8e\u8bb8\u591a\u9886\u57df\uff0c\u5305\u62ec\u7f51\u7edc\u8def\u7531\u3001\u793e\u4ea4\u7f51\u7edc\u5206\u6790\u3001\u6570\u636e\u5e93\u67e5\u8be2\u4f18\u5316\u7b49\u3002\u5728\u5b8c\u6210\u8fd9\u4e9b\u8fed\u4ee3\u540e\uff0c\u53ef\u8fbe\u77e9\u9635\u4e3a\u6211\u4eec\u63d0\u4f9b\u4e86\u6709\u5173\u56fe\u4e2d\u9876\u70b9\u95f4\u53ef\u8fbe\u6027\u7684\u5b8c\u6574\u4fe1\u606f\u3002\u8fd9\u4e2a\u7ed3\u679c\u88ab\u79f0\u4e3a\u56fe\u7684\u4f20\u9012\u95ed\u5305\u3002<\/p>\n<\/p>\n<p><h3>\u4e09\u3001\u5e94\u7528\u5b9e\u4f8b\u4e0e\u4f18\u5316<\/h3>\n<\/p>\n<p><p>\u53ef\u8fbe\u77e9\u9635\u7b97\u6cd5\u9664\u4e86\u80fd\u5224\u65ad\u56fe\u4e2d\u9876\u70b9\u4e4b\u95f4\u7684\u76f4\u63a5\u53ef\u8fbe\u6027\u4e4b\u5916\uff0c\u8fd8\u53ef\u4ee5\u88ab\u7528\u6765\u89e3\u51b3\u4e0d\u540c\u7684\u95ee\u9898\uff0c\u4f8b\u5982\u67e5\u627e\u56fe\u4e2d\u6240\u6709\u7684\u8fde\u901a\u5206\u91cf\u3001\u8ba1\u7b97\u4f20\u9012\u4f9d\u8d56\u5173\u7cfb\u3001\u6216\u8005\u662f\u5b9e\u73b0\u56fe\u7684\u6548\u7387\u5206\u6790\u7b49\u3002\u6b64\u5916\uff0c\u53ef\u4ee5\u91c7\u53d6\u4e0d\u540c\u7684\u6280\u672f\u6765\u4f18\u5316\u8fd9\u4e00\u7b97\u6cd5\uff0c\u8bf8\u5982\u5e94\u7528\u7a00\u758f\u77e9\u9635\u5b58\u50a8\u548c\u5904\u7406\u6280\u672f\u9488\u5bf9\u7a00\u758f\u56fe\u8fdb\u884c\u4f18\u5316\u7b49\u3002<\/p>\n<\/p>\n<p><p>\u5728\u5904\u7406\u5b9e\u9645\u95ee\u9898\u65f6\uff0c\u7ecf\u5e38\u4f1a\u9047\u5230\u9700\u8981\u5904\u7406\u975e\u5e38\u5927\u7684\u56fe\uff0c\u8fd9\u5c31\u9700\u8981\u7b97\u6cd5\u7684\u6269\u5c55\u548c\u4f18\u5316\u3002\u4f8b\u5982\uff0c\u4f7f\u7528\u5206\u5e03\u5f0f\u8ba1\u7b97\u6846\u67b6\u5982Hadoop\u6216Spark\u53ef\u4ee5\u5e2e\u52a9\u5904\u7406\u5927\u89c4\u6a21\u6570\u636e\u3002\u6b64\u5916\uff0c\u7b97\u6cd5\u7684\u5e76\u884c\u5316\u4e5f\u975e\u5e38\u91cd\u8981\uff0c\u901a\u8fc7\u5e76\u884c\u5316\u53ef\u4ee5\u663e\u8457\u63d0\u9ad8\u7b97\u6cd5\u5904\u7406\u5927\u89c4\u6a21\u56fe\u6570\u636e\u7684\u901f\u5ea6\u3002<\/p>\n<\/p>\n<h2><strong>\u76f8\u5173\u95ee\u7b54FAQs\uff1a<\/strong><\/h2>\n<p><strong>\u4ec0\u4e48\u662f\u53ef\u8fbe\u77e9\u9635\u7b97\u6cd5\uff1f<\/strong><\/p>\n<p>\u53ef\u8fbe\u77e9\u9635\u7b97\u6cd5\u662f\u4e00\u79cd\u7528\u4e8e\u5224\u65ad\u56fe\u4e2d\u8282\u70b9\u4e4b\u95f4\u662f\u5426\u5b58\u5728\u8def\u5f84\u7684\u7b97\u6cd5\u3002\u5b83\u57fa\u4e8e\u56fe\u7684\u90bb\u63a5\u77e9\u9635\u8868\u793a\uff0c\u901a\u8fc7\u4e0d\u65ad\u66f4\u65b0\u77e9\u9635\u4e2d\u7684\u5143\u7d20\u6765\u8bb0\u5f55\u8282\u70b9\u4e4b\u95f4\u7684\u53ef\u8fbe\u5173\u7cfb\u3002<\/p>\n<p><strong>\u53ef\u8fbe\u77e9\u9635\u7b97\u6cd5\u7684\u539f\u7406\u662f\u600e\u6837\u7684\uff1f<\/strong><\/p>\n<p>\u53ef\u8fbe\u77e9\u9635\u7b97\u6cd5\u7684\u539f\u7406\u662f\u901a\u8fc7\u52a8\u6001\u89c4\u5212\u6765\u66f4\u65b0\u90bb\u63a5\u77e9\u9635\u4e2d\u7684\u5143\u7d20\u3002\u7b97\u6cd5\u9996\u5148\u521d\u59cb\u5316\u77e9\u9635\uff0c\u4f7f\u5f97\u77e9\u9635\u7684\u5bf9\u89d2\u7ebf\u4e3a1\uff08\u8868\u793a\u8282\u70b9\u5230\u81ea\u8eab\u7684\u8def\u5f84\u5b58\u5728\uff09\uff0c\u5176\u4f59\u7684\u5143\u7d20\u4e3a0\u3002\u7136\u540e\uff0c\u901a\u8fc7\u8fed\u4ee3\u7684\u65b9\u5f0f\uff0c\u9010\u6b65\u66f4\u65b0\u77e9\u9635\u4e2d\u7684\u5143\u7d20\uff0c\u76f4\u5230\u6240\u6709\u7684\u8282\u70b9\u4e4b\u95f4\u7684\u53ef\u8fbe\u5173\u7cfb\u88ab\u5b8c\u5168\u786e\u5b9a\u3002<\/p>\n<p>\u5177\u4f53\u7684\u66f4\u65b0\u65b9\u6cd5\u662f\u5229\u7528\u5df2\u77e5\u7684\u8282\u70b9\u4e4b\u95f4\u7684\u8def\u5f84\u5173\u7cfb\u6765\u63a8\u5bfc\u5176\u4ed6\u8282\u70b9\u4e4b\u95f4\u7684\u8def\u5f84\u5173\u7cfb\u3002\u5bf9\u4e8e\u4e24\u4e2a\u8282\u70b9i\u548cj\uff0c\u5982\u679c\u5b58\u5728\u4e00\u4e2a\u8282\u70b9k\uff0c\u4f7f\u5f97\u8282\u70b9i\u53ef\u4ee5\u901a\u8fc7k\u5230\u8fbe\u8282\u70b9j\uff0c\u90a3\u4e48\u5c31\u53ef\u4ee5\u786e\u5b9a\u8282\u70b9i\u548c\u8282\u70b9j\u4e4b\u95f4\u5b58\u5728\u8def\u5f84\u3002\u4ee5\u6b64\u7c7b\u63a8\uff0c\u901a\u8fc7\u4e0d\u65ad\u8fed\u4ee3\uff0c\u5c31\u53ef\u4ee5\u9010\u6b65\u786e\u5b9a\u6240\u6709\u8282\u70b9\u4e4b\u95f4\u7684\u53ef\u8fbe\u5173\u7cfb\u3002<\/p>\n<p><strong>\u53ef\u8fbe\u77e9\u9635\u7b97\u6cd5\u7684\u5e94\u7528\u573a\u666f\u6709\u54ea\u4e9b\uff1f<\/strong><\/p>\n<p>\u53ef\u8fbe\u77e9\u9635\u7b97\u6cd5\u5728\u8bb8\u591a\u5b9e\u9645\u95ee\u9898\u4e2d\u90fd\u6709\u5e7f\u6cdb\u7684\u5e94\u7528\u3002\u4f8b\u5982\uff0c\u5b83\u53ef\u4ee5\u7528\u4e8e\u793e\u4ea4\u7f51\u7edc\u4e2d\u5224\u65ad\u4e24\u4e2a\u7528\u6237\u4e4b\u95f4\u662f\u5426\u5b58\u5728\u8054\u7cfb\uff1b\u5728\u4ea4\u901a\u7f51\u7edc\u4e2d\u5224\u65ad\u4e24\u4e2a\u5730\u70b9\u4e4b\u95f4\u662f\u5426\u6709\u53ef\u884c\u7684\u8def\u7ebf\uff1b\u5728\u7269\u6d41\u7cfb\u7edf\u4e2d\u786e\u5b9a\u8d27\u7269\u4ece\u4e00\u4e2a\u5730\u70b9\u5230\u53e6\u4e00\u4e2a\u5730\u70b9\u662f\u5426\u53ef\u8fbe\u7b49\u7b49\u3002\u901a\u8fc7\u5e94\u7528\u53ef\u8fbe\u77e9\u9635\u7b97\u6cd5\uff0c\u53ef\u4ee5\u5e2e\u52a9\u6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