\u00a0<\/p>\n
\u00a0<\/p>\n
\u4e00\u3001\u7eea\u8bba<\/p>\n
\u00a0<\/p>\n
– \u6570\u636e\u7ed3\u6784\u4e09\u8981\u7d20：\u903b\u8f91\u7ed3\u6784\u3001\u5b58\u50a8\u7ed3\u6784\u3001\u8fd0\u7b97<\/p>\n
– \u903b\u8f91\u7ed3\u6784<\/p>\n
\u00a0 \u00a0– \u7ebf\u6027：\u7ebf\u6027\u8868\u3001\u6808\u3001\u961f\u5217\u3001\u4e32<\/p>\n
\u00a0 \u00a0– \u975e\u7ebf\u6027：\u6811\u3001\u56fe\u3001\u96c6\u5408<\/p>\n
– \u5b58\u50a8\u7ed3\u6784<\/p>\n
\u00a0 \u00a0– \u987a\u5e8f\u5b58\u50a8：\u6570\u7ec4，\u968f\u673a\u8bbf\u95ee，\u8fde\u7eed\u7a7a\u95f4<\/p>\n
\u00a0 \u00a0– \u94fe\u5f0f\u5b58\u50a8：\u6307\u9488\/\u5f15\u7528，\u7075\u6d3b，\u975e\u8fde\u7eed<\/p>\n
\u00a0 \u00a0– \u7d22\u5f15\u5b58\u50a8\u3001\u6563\u5217\u5b58\u50a8<\/p>\n
– \u65f6\u95f4\u590d\u6742\u5ea6 & \u7a7a\u95f4\u590d\u6742\u5ea6<\/p>\n
\u00a0 \u00a0– \u5927O\u8868\u793a\u6cd5：O(1)\u3001O(log n)\u3001O(n)\u3001O(n log n)\u3001O(n\u00b2)<\/p>\n
\u00a0 \u00a0– \u5e38\u89c1\u590d\u6742\u5ea6\u6392\u5e8f：O(1) < O(log n) < O(n) < O(n log n) < O(n\u00b2) < O(2\u207f)<\/p>\n
\u00a0<\/p>\n
\u4e8c\u3001\u7ebf\u6027\u8868<\/p>\n
\u00a0<\/p>\n
1. \u987a\u5e8f\u8868（\u6570\u7ec4）<\/p>\n
\u00a0<\/p>\n
– \u7279\u70b9：\u903b\u8f91\u76f8\u90bb = \u7269\u7406\u76f8\u90bb<\/p>\n
– \u64cd\u4f5c：\u63d2\u5165 O(n)\u3001\u5220\u9664 O(n)\u3001\u6309\u4f4d\u67e5\u627e O(1)<\/p>\n
– \u4f18\u7f3a\u70b9：\u652f\u6301\u968f\u673a\u8bbf\u95ee，\u63d2\u5165\u5220\u9664\u6162，\u6269\u5bb9\u6210\u672c\u9ad8<\/p>\n
\u00a0<\/p>\n
2. \u94fe\u8868<\/p>\n
\u00a0<\/p>\n
– \u5355\u94fe\u8868<\/p>\n
\u00a0 \u00a0– \u5934\u7ed3\u70b9\u4f5c\u7528：\u7edf\u4e00\u63d2\u5165\u5220\u9664\u64cd\u4f5c<\/p>\n
\u00a0 \u00a0– \u6309\u503c\u67e5\u627e O(n)，\u63d2\u5165\u5220\u9664 O(1)（\u5df2\u77e5\u4f4d\u7f6e）<\/p>\n
– \u53cc\u94fe\u8868：\u524d\u9a71 + \u540e\u7ee7，\u65b9\u4fbf\u53cd\u5411\u904d\u5386<\/p>\n
– \u5faa\u73af\u94fe\u8868：\u5c3e\u6307\u9488\u6307\u5411\u5934<\/p>\n
– \u9759\u6001\u94fe\u8868：\u7528\u6570\u7ec4\u6a21\u62df\u94fe\u8868（\u65e0\u6307\u9488\u8bed\u8a00）<\/p>\n
\u00a0<\/p>\n
3. \u5bf9\u6bd4<\/p>\n
\u00a0<\/p>\n
\u7ed3\u6784 \u8bbf\u95ee \u63d2\u5165\u5220\u9664 \u7a7a\u95f4<\/p>\n
\u987a\u5e8f\u8868 O(1) O(n) \u7d27\u51d1<\/p>\n
\u94fe\u8868 O(n) O(1) \u6307\u9488\u989d\u5916\u5f00\u9500<\/p>\n
\u00a0<\/p>\n
\u4e09\u3001\u6808\u548c\u961f\u5217<\/p>\n
\u00a0<\/p>\n
1. \u6808（Stack）<\/p>\n
\u00a0<\/p>\n
– \u7279\u70b9：\u540e\u8fdb\u5148\u51fa LIFO<\/p>\n
– \u987a\u5e8f\u6808 \/ \u94fe\u6808<\/p>\n
– \u5e94\u7528：\u51fd\u6570\u8c03\u7528\u3001\u8868\u8fbe\u5f0f\u6c42\u503c\u3001\u62ec\u53f7\u5339\u914d\u3001\u9012\u5f52<\/p>\n
\u00a0<\/p>\n
2. \u961f\u5217（Queue）<\/p>\n
\u00a0<\/p>\n
– \u7279\u70b9：\u5148\u8fdb\u5148\u51fa FIFO<\/p>\n
– \u5faa\u73af\u961f\u5217（\u91cd\u70b9）：<\/p>\n
"front == rear" \u5224\u7a7a，<\/p>\n
"(rear+1)%max == front" \u5224\u6ee1<\/p>\n
– \u53cc\u7aef\u961f\u5217\u3001\u4f18\u5148\u961f\u5217（\u5806\u5b9e\u73b0）<\/p>\n
\u00a0<\/p>\n
\u56db\u3001\u4e32（String）<\/p>\n
\u00a0<\/p>\n
– \u5b58\u50a8：\u5b9a\u957f\u987a\u5e8f\u3001\u5806\u5206\u914d\u3001\u5757\u94fe<\/p>\n
– \u6a21\u5f0f\u5339\u914d<\/p>\n
\u00a0 \u00a0– BF\u7b97\u6cd5：O(nm)，\u7b80\u5355\u4f46\u6162<\/p>\n
\u00a0 \u00a0– KMP\u7b97\u6cd5（\u91cd\u70b9）：O(n+m)，\u6838\u5fc3\u662f next \u6570\u7ec4 \/ nextval \u6570\u7ec4<\/p>\n
\u00a0<\/p>\n
\u4e94\u3001\u6811\u4e0e\u4e8c\u53c9\u6811<\/p>\n
\u00a0<\/p>\n
1. \u4e8c\u53c9\u6811<\/p>\n
\u00a0<\/p>\n
– \u6027\u8d28：<\/p>\n
\u00a0 \u00a0– \u7b2c i \u5c42\u6700\u591a 2\u2071\u207b\u00b9 \u4e2a\u7ed3\u70b9<\/p>\n
\u00a0 \u00a0– \u6df1\u5ea6\u4e3a k \u7684\u4e8c\u53c9\u6811\u6700\u591a 2\u1d4f \u2212 1 \u4e2a\u7ed3\u70b9<\/p>\n
\u00a0 \u00a0– n\u2080 = n\u2082 + 1<\/p>\n
– \u5b58\u50a8：\u987a\u5e8f（\u5b8c\u5168\u4e8c\u53c9\u6811）\u3001\u94fe\u5f0f（\u4e8c\u53c9\u94fe\u8868）<\/p>\n
\u00a0<\/p>\n
2. \u904d\u5386（\u5fc5\u8003）<\/p>\n
\u00a0<\/p>\n
– \u5148\u5e8f \/ \u4e2d\u5e8f \/ \u540e\u5e8f（\u9012\u5f52 + \u975e\u9012\u5f52\u6808\u5b9e\u73b0）<\/p>\n
– \u5c42\u6b21\u904d\u5386（\u961f\u5217）<\/p>\n
– \u7531\u4e2d\u5e8f + \u5148\u5e8f \/ \u540e\u5e8f\u53ef\u552f\u4e00\u786e\u5b9a\u4e8c\u53c9\u6811<\/p>\n
\u00a0<\/p>\n
3. \u7279\u6b8a\u4e8c\u53c9\u6811<\/p>\n
\u00a0<\/p>\n
– \u6ee1\u4e8c\u53c9\u6811 \/ \u5b8c\u5168\u4e8c\u53c9\u6811<\/p>\n
– \u4e8c\u53c9\u6392\u5e8f\u6811（BST）：\u5de6 < \u6839 < \u53f3<\/p>\n
– \u5e73\u8861\u4e8c\u53c9\u6811（AVL）：|\u5de6\u9ad8 \u2212 \u53f3\u9ad8| \u2264 1，\u56db\u79cd\u65cb\u8f6c<\/p>\n
– \u54c8\u592b\u66fc\u6811：\u5e26\u6743\u8def\u5f84\u6700\u77ed，\u54c8\u592b\u66fc\u7f16\u7801（\u524d\u7f00\u7f16\u7801，\u65e0\u6b67\u4e49）<\/p>\n
\u00a0<\/p>\n
\u516d\u3001\u56fe<\/p>\n
\u00a0<\/p>\n
1. \u5b58\u50a8\u7ed3\u6784<\/p>\n
\u00a0<\/p>\n
– \u90bb\u63a5\u77e9\u9635：O(|V|\u00b2)，\u9002\u5408\u7a20\u5bc6\u56fe<\/p>\n
– \u90bb\u63a5\u8868：O(|V|+|E|)，\u9002\u5408\u7a00\u758f\u56fe<\/p>\n
– \u5341\u5b57\u94fe\u8868（\u6709\u5411\u56fe）\u3001\u90bb\u63a5\u591a\u91cd\u8868（\u65e0\u5411\u56fe）<\/p>\n
\u00a0<\/p>\n
2. \u904d\u5386<\/p>\n
\u00a0<\/p>\n
– DFS：\u6808 \/ \u9012\u5f52，\u65f6\u95f4 O(V+E)<\/p>\n
– BFS：\u961f\u5217，\u6c42\u6700\u77ed\u8def\u5f84（\u65e0\u6743\u56fe）<\/p>\n
\u00a0<\/p>\n
3. \u6700\u5c0f\u751f\u6210\u6811<\/p>\n
\u00a0<\/p>\n
– Prim：\u9002\u5408\u7a20\u5bc6\u56fe，O(V\u00b2)<\/p>\n
– Kruskal：\u9002\u5408\u7a00\u758f\u56fe，O(E log E)，\u5e76\u67e5\u96c6\u5b9e\u73b0<\/p>\n
\u00a0<\/p>\n
4. \u6700\u77ed\u8def\u5f84<\/p>\n
\u00a0<\/p>\n
– Dijkstra：\u5355\u6e90\u6700\u77ed\u8def\u5f84，\u975e\u8d1f\u6743，O(V\u00b2) \/ O(E + V log V)<\/p>\n
– Floyd：\u591a\u6e90\u6700\u77ed\u8def\u5f84，O(V\u00b3)<\/p>\n
– Bellman-Ford：\u53ef\u5904\u7406\u8d1f\u6743\u8fb9<\/p>\n
\u00a0<\/p>\n
5. \u62d3\u6251\u6392\u5e8f & \u5173\u952e\u8def\u5f84<\/p>\n
\u00a0<\/p>\n
– AOV \u7f51：\u62d3\u6251\u6392\u5e8f（DFS \/ \u5165\u5ea6\u8868）<\/p>\n
– AOE \u7f51：\u5173\u952e\u8def\u5f84（\u6700\u65e9\/\u6700\u665a\u65f6\u95f4）<\/p>\n
\u00a0<\/p>\n
\u4e03\u3001\u67e5\u627e<\/p>\n
\u00a0<\/p>\n
1. \u9759\u6001\u67e5\u627e<\/p>\n
\u00a0<\/p>\n
– \u987a\u5e8f\u67e5\u627e：O(n)<\/p>\n
– \u6298\u534a\u67e5\u627e：O(log n)，\u8981\u6c42\u6709\u5e8f<\/p>\n
– \u5206\u5757\u67e5\u627e：\u5757\u95f4\u6709\u5e8f，\u5757\u5185\u65e0\u5e8f<\/p>\n
\u00a0<\/p>\n
2. \u52a8\u6001\u67e5\u627e<\/p>\n
\u00a0<\/p>\n
– \u4e8c\u53c9\u6392\u5e8f\u6811：\u5e73\u5747 O(log n)，\u6700\u574f O(n)<\/p>\n
– AVL \u6811：\u4e25\u683c\u5e73\u8861 O(log n)<\/p>\n
– B \u6811 \/ B+ \u6811<\/p>\n
\u00a0 \u00a0– B \u6811：\u591a\u8def\u5e73\u8861\u67e5\u627e\u6811，\u6570\u636e\u5e93\u7d22\u5f15<\/p>\n
\u00a0 \u00a0– B+ \u6811：\u53f6\u5b50\u7ed3\u70b9\u94fe\u8868，\u8303\u56f4\u67e5\u8be2\u53cb\u597d<\/p>\n
\u00a0<\/p>\n
3. \u54c8\u5e0c\u8868（Hash）<\/p>\n
\u00a0<\/p>\n
– \u6784\u9020：\u76f4\u63a5\u5b9a\u5740\u3001\u9664\u7559\u4f59\u6570\u3001\u5e73\u65b9\u53d6\u4e2d\u7b49<\/p>\n
– \u51b2\u7a81\u5904\u7406<\/p>\n
\u00a0 \u00a0– \u5f00\u653e\u5b9a\u5740：\u7ebf\u6027\u63a2\u6d4b\u3001\u4e8c\u6b21\u63a2\u6d4b<\/p>\n
\u00a0 \u00a0– \u94fe\u5730\u5740\u6cd5（\u6700\u5e38\u7528）<\/p>\n
– \u88c5\u586b\u56e0\u5b50 \u03b1 = \u8868\u4e2d\u8bb0\u5f55\u6570 \/ \u54c8\u5e0c\u8868\u957f\u5ea6<\/p>\n
\u00a0<\/p>\n
\u516b\u3001\u6392\u5e8f（\u8d85\u7ea7\u91cd\u70b9）<\/p>\n
\u00a0<\/p>\n
\u6bd4\u8f83\u7c7b\u6392\u5e8f<\/p>\n
\u00a0<\/p>\n
\u6392\u5e8f \u5e73\u5747 \u6700\u574f \u7a33\u5b9a \u5907\u6ce8<\/p>\n
\u5192\u6ce1 O(n\u00b2) O(n\u00b2) \u2705 \u76f8\u90bb\u4ea4\u6362<\/p>\n
\u9009\u62e9 O(n\u00b2) O(n\u00b2) \u274c \u4ea4\u6362\u6b21\u6570\u5c11<\/p>\n
\u63d2\u5165 O(n\u00b2) O(n\u00b2) \u2705 \u57fa\u672c\u6709\u5e8f\u65f6\u5feb<\/p>\n
\u5e0c\u5c14 O(n\u00b9\u00b7\u00b3) \u2014 \u274c \u63d2\u5165\u6392\u5e8f\u6539\u8fdb<\/p>\n
\u5feb\u6392 O(n log n) O(n\u00b2) \u274c pivot \u9009\u62e9\u5173\u952e<\/p>\n
\u5f52\u5e76 O(n log n) O(n log n) \u2705 \u989d\u5916\u7a7a\u95f4 O(n)<\/p>\n
\u5806\u6392 O(n log n) O(n log n) \u274c \u5efa\u5806 O(n)<\/p>\n
\u00a0<\/p>\n
\u975e\u6bd4\u8f83\u7c7b<\/p>\n
\u00a0<\/p>\n
– \u8ba1\u6570\u6392\u5e8f\u3001\u57fa\u6570\u6392\u5e8f\u3001\u6876\u6392\u5e8f：O(n + k)，\u7a33\u5b9a，\u9002\u5408\u7279\u5b9a\u573a\u666f<\/p>\n
\u00a0<\/p>\n
\u4e5d\u3001\u5e38\u89c1\u7efc\u5408\u8003\u70b9<\/p>\n
\u00a0<\/p>\n
– \u9012\u5f52 \u2192 \u6808<\/p>\n
– \u6808 \/ \u961f\u5217 \/ \u6811 \/ \u56fe\u7684\u76f8\u4e92\u8f6c\u6362<\/p>\n
– \u6392\u5e8f\u7b97\u6cd5\u601d\u60f3 + \u624b\u5199\u4ee3\u7801 + \u7a33\u5b9a\u6027\u5224\u65ad<\/p>\n
– \u65f6\u95f4\u7a7a\u95f4\u590d\u6742\u5ea6\u5bf9\u6bd4<\/p>\n
– \u7b97\u6cd5\u8bbe\u8ba1\u9898：\u5982\u7528\u6808\u5b9e\u73b0\u961f\u5217\u3001\u7528\u961f\u5217\u5b9e\u73b0\u6808\u3001LRU \u7f13\u5b58\u7b49<\/p>\n
\u00a0<\/p>\n
\u5341\u3001\u901f\u8bb0\u53e3\u8bc0<\/p>\n
\u00a0<\/p>\n
– \u6808：\u540e\u8fdb\u5148\u51fa<\/p>\n
– \u961f\u5217：\u5148\u8fdb\u5148\u51fa<\/p>\n
– \u4e2d\u5e8f + \u5148\/\u540e\u5e8f \u2192 \u552f\u4e00\u4e8c\u53c9\u6811<\/p>\n
– \u5e73\u8861\u4e8c\u53c9\u6811：\u5de6\u65cb\u53f3\u65cb<\/p>\n
– \u6700\u5c0f\u751f\u6210\u6811：Prim \u7a20\u5bc6，Kruskal \u7a00\u758f<\/p>\n
– \u6392\u5e8f\u7a33\u5b9a\u6027：\u5192\u63d2\u5f52\u57fa\u8ba1\u6876\u7a33，\u5176\u4f59\u4e0d\u7a33<\/p>\n
\u00a0<\/p>\n
\u5982\u679c\u4f60\u544a\u8bc9\u6211\u7528\u9014（\u6bd4\u5982：\u671f\u672b\u590d\u4e60 \/ \u8003\u7814 \/ \u9762\u8bd5 \/ \u8f6c\u7801\u5237\u9898），\u6211\u53ef\u4ee5\u5e2e\u4f60\u518d\u7f29\u6210\u4e00\u4efd\u201c\u6781\u7b80\u5fc5\u80cc\u7248\u201d\u6216\u201c\u6613\u9519\u70b9\u6e05\u5355\u201d，\u66f4\u9002\u5408\u51b2\u523a\u3002\u9700\u8981\u5417？<\/p>\n","protected":false},"excerpt":{"rendered":"
\u4e00\u3001\u7eea\u8bba- \u6570\u636e\u7ed3\u6784\u4e09\u8981\u7d20：\u903b\u8f91\u7ed3\u6784\u3001\u5b58\u50a8\u7ed3\u6784\u3001\u8fd0\u7b97- \u903b\u8f91\u7ed3\u6784- \u7ebf\u6027：\u7ebf\u6027\u8868\u3001\u6808\u3001\u961f\u5217\u3001\u4e32- \u975e\u7ebf\u6027：\u6811\u3001\u56fe\u3001\u96c6\u5408- \u5b58\u50a8\u7ed3\u6784- \u987a\u5e8f\u5b58\u50a8：\u6570\u7ec4，\u968f\u673a\u8bbf\u95ee，\u8fde\u7eed\u7a7a\u95f4- \u94fe\u5f0f\u5b58\u50a8：\u6307\u9488\/\u5f15\u7528，\u7075\u6d3b，\u975e\u8fde\u7eed- \u7d22\u5f15\u5b58\u50a8\u3001\u6563\u5217\u5b58\u50a8- \u65f6\u95f4\u590d\u6742\u5ea6 & \u7a7a\u95f4\u590d\u6742\u5ea6- \u5927O\u8868\u793a\u6cd5：O(1)\u3001O(log n)\u3001O(n)\u3001O(n log n)\u3001O(n<\/p>\n","protected":false},"author":2,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1],"tags":[1813],"topic":[],"class_list":["post-95939","post","type-post","status-publish","format-standard","hentry","category-server","tag-1813"],"yoast_head":"\n