{"id":423375,"date":"2021-04-02T06:38:59","date_gmt":"2021-04-01T22:38:59","guid":{"rendered":"http:\/\/4563.org\/?p=423375"},"modified":"2021-04-02T06:38:59","modified_gmt":"2021-04-01T22:38:59","slug":"%e5%85%b3%e4%ba%8e%e5%86%85%e5%ad%98%e5%af%b9%e8%b1%a1%e4%b8%8e%e5%85%b3%e7%b3%bb%e5%9e%8b%e6%95%b0%e6%8d%ae%e5%ba%93%e7%9a%84%e6%80%9d%e8%80%83","status":"publish","type":"post","link":"http:\/\/4563.org\/?p=423375","title":{"rendered":"\u5173\u4e8e\u5185\u5b58\u5bf9\u8c61\u4e0e\u5173\u7cfb\u578b\u6570\u636e\u5e93\u7684\u601d\u8003"},"content":{"rendered":"
\n
\n
\n

\u5173\u4e8e\u5185\u5b58\u5bf9\u8c61\u4e0e\u5173\u7cfb\u578b\u6570\u636e\u5e93\u7684\u601d\u8003 <\/h1>\n

<\/p>\n

\n
\u8cc7\u6df1\u5927\u4f6c : sillydaddy <\/span> <\/i> 3<\/span> <\/div>\n
<\/div>\n<\/p><\/div>\n<\/p><\/div>\n<\/p><\/div>\n
<\/p>\n

\u867d\u7136\u81ea\u5df1\u5bf9\u6570\u636e\u5e93\u5e76\u6ca1\u6709\u6df1\u5165\u4e86\u89e3\uff0c\u4f46\u770b\u5230\u5e16\u5b50 \u201c\u4e00\u4e2a\u975e\u5e38\u590d\u6742\u7684\u9700\u6c42\uff0c\u5982\u4f55\u8bbe\u8ba1\u8868\u7ed3\u6784\u201d \uff0c\u611f\u89c9\u6570\u636e\u5e93\u8fd8\u662f\u633a\u6709\u610f\u601d\u7684\u3002\u60f3\u804a\u804a\u81ea\u5df1\u7684\u601d\u8003\uff0c\u629b\u7816\u5f15\u7389\u3002<\/p>\n

\u4e0a\u9762\u8fd9\u4e2a\u5e16\u5b50\uff0c\u63d0\u5230\u7684\u95ee\u9898\u662f\u6bd4\u8f83\u7ecf\u5178\u7684\u6811\u72b6\u8282\u70b9\u7684\u67e5\u627e\u3001\u4fee\u6539\u3002\u4ece\u4e2d\u53ef\u4ee5\u660e\u663e\u5730\u611f\u53d7\u5230\u64cd\u4f5c\u201c\u5185\u5b58\u5bf9\u8c61\u201d\u548c\u64cd\u4f5c\u201c\u5173\u7cfb\u578b\u6570\u636e\u5e93\u6570\u636e\u201d\u7684\u5dee\u5f02\u2014\u2014\u5185\u5b58\u4e2d\uff0c\u5bf9\u8c61\u4e4b\u95f4\u53ef\u4ee5\u4e92\u76f8\u6307\u5411\uff0c\u50cf\u662f\u4fee\u6539\u5b50\u8282\u70b9\u7ed3\u6784\u3001\u67e5\u627e\u5b50\u8282\u70b9\uff0c\u8fd9\u4e9b\u64cd\u4f5c\u90fd\u53ef\u4ee5\u5f88\u76f4\u63a5\uff0c\u987a\u7740\u8282\u70b9\u7684\u6307\u5411\uff0c\u53ef\u4ee5\u5f88\u81ea\u7136\u5f88\u5feb\u5730\u5b8c\u6210\u60f3\u8981\u7684\u64cd\u4f5c\uff0c\u6570\u636e\u7684\u4e00\u81f4\u6027\u4e5f\u5f88\u5bb9\u6613\u4fdd\u8bc1\u3002\u800c\u5173\u7cfb\u578b\u6570\u636e\u5e93\u5b58\u50a8\u5219\u53ea\u80fd\u901a\u8fc7\u201c\u67e5\u8868\u201d\u8fd9\u79cd\u95f4\u63a5\u65b9\u5f0f\uff0c\u8fdc\u8fdc\u6ca1\u6709\u64cd\u4f5c\u5185\u5b58\u5bf9\u8c61\u90a3\u6837\u76f4\u63a5\u5feb\u901f\uff0c\u8fd8\u8981\u8003\u8651\u5404\u4e2a\u8868\u4e2d\u7684\u6570\u636e\u4e00\u81f4\u6027\u3002<\/p>\n

\u867d\u7136\u770b\u8d77\u6765\u5185\u5b58\u5bf9\u8c61\u548c\u6570\u636e\u5e93\u6570\u636e\u7684\u5f62\u5f0f\u5dee\u5f02\u592a\u5927\u4e86\uff0c\u4f46\u8ffd\u6839\u6eaf\u6e90\uff0c\u6700\u6839\u672c\u7684\u5dee\u5f02\u53ef\u80fd\u5c31\u53ea\u6709\u4e00\u4e2a\uff1a<\/p>\n

    \n
  • \u5185\u5b58\u5bf9\u8c61\u56e0\u4e3a\u5728\u5185\u5b58\u4e2d\uff0c\u56e0\u6b64\u662f\u53ef\u4ee5\u968f\u673a\u8bbf\u95ee\u7684\uff0c\u53ef\u4ee5\u7528\u6307\u9488(\u5b9e\u4f53)\uff0c\u4ee5 O(1)\u7684\u901f\u5ea6\u76f4\u63a5\u8bbf\u95ee\u5bf9\u8c61\u3001\u4fee\u6539\u5bf9\u8c61\u7684\u6570\u636e\uff1b<\/li>\n
  • \u800c\u5173\u7cfb\u578b\u6570\u636e\u5e93\uff0c\u662f\u4e0d\u80fd\u63d0\u4f9b\u968f\u673a\u8bbf\u95ee\u7684(\u4e3a\u4ec0\u4e48\u4e0d\u80fd\u6709\u968f\u673a\u8bbf\u95ee\u7684\u7279\u6027\u5462\uff1f)\u3002\u8981\u627e\u5230\u67d0\u6761\u6570\u636e\uff0c\u81f3\u5c11\u9700\u8981\u4ee5\u5173\u952e\u5b57\u4f5c O(lgN)\u7684\u67e5\u8868\u8fd0\u7b97\uff1b<\/li>\n<\/ul>\n

    \u53ef\u4ee5\u60f3\u8c61\u4e00\u4e0b\uff0c\u5728\u4e0a\u9762\u7684\u5e16\u5b50\u4e2d\uff0c\u5982\u679c\u5c06\u5185\u5b58\u5bf9\u8c61\u8282\u70b9\u6811\uff0c\u7167\u642c\u5230\u5173\u7cfb\u578b\u6570\u636e\u5e93\u4e2d\uff0c\u8868\u7ed3\u6784\u5e94\u8be5\u662f\u8fd9\u6837\u7684\uff1a<\/p>\n

    id, parent_id, children_ids<\/p>\n

    \u4e0a\u9762\u7684\u8868\u7ed3\u6784\uff0c\u5728\u5185\u5b58\u5bf9\u8c61\u4e0e\u6570\u636e\u5e93\u8bb0\u5f55\u4e4b\u95f4\u5efa\u7acb\u4e86\u4e00\u79cd\u5bf9\u5e94\u3002\u5bf9\u5185\u5b58\u5bf9\u8c61\u7684\u64cd\u4f5c\uff0c\u53ef\u4ee5\u7b80\u5355\u7684\u6620\u5c04\u5230\u5bf9\u6570\u636e\u5e93\u8bb0\u5f55\u7684\u64cd\u4f5c\uff0c\u53ea\u4e0d\u8fc7\u590d\u6742\u5ea6\u500d\u589e\u4e86 O(lgT)\u3002<\/p>\n

    \u4f8b\u5982\u5bf9\u4e8e\u67e5\u627e\u67d0\u4e2a\u8282\u70b9\u7684\u6240\u6709\u5b50\u8282\u70b9\u8fd9\u4e2a\u64cd\u4f5c\uff0c<\/p>\n

      \n
    • \u5982\u679c\u5728\u5185\u5b58\u4e2d\u64cd\u4f5c\uff0c\u9012\u5f52\u67e5\u627e\u51fa\u6240\u6709\u7684\u5b50\u8282\u70b9\uff0c\u662f O(N)\u7684\u590d\u6742\u5ea6\uff0cN \u662f\u6240\u6709\u5b50\u8282\u70b9\u7684\u6570\u91cf\u3002<\/li>\n
    • \u800c\u5982\u679c\u5728\u6570\u636e\u5e93\u4e2d\uff0c\u9012\u5f52\u67e5\u627e\u51fa\u6240\u6709\u7684\u5b50\u8282\u70b9\uff0c\u5c31\u53d8\u6210\u4e86 O(N)*O(lgT)\uff0c\u5176\u4e2d T \u662f\u8868\u4e2d\u7684\u8bb0\u5f55\u603b\u6570\u91cf\uff0c\u56e0\u4e3a\u6bcf\u4e2a\u5b50\u8282\u70b9\uff0c\u90fd\u9700\u8981\u641c\u7d22 id \u4e3a\u5173\u952e\u5b57\u7684\u6574\u4e2a\u8868\uff0c\u6bcf\u6b21\u67e5\u627e\u90fd\u9700\u8981 O(lgT)\u7684\u65f6\u95f4\u3002<\/li>\n<\/ul>\n

      \u4f46 O(N)*O(lgT)\u7684\u65f6\u95f4\u590d\u6742\u5ea6\u5e94\u8be5\u662f\u53ef\u4ee5\u4f18\u5316\u7684\u3002\u8fd9\u5f15\u51fa\u4e86\u4e00\u4e2a\u95ee\u9898\uff0c\u600e\u4e48\u901a\u8fc7\u6539\u8fdb\u8868\u7ed3\u6784\uff0c\u6765\u4f18\u5316\u6570\u636e\u5e93\u7684\u6027\u80fd\u5462\uff0c\u800c\u8fd9\u79cd\u4f18\u5316\u6709\u6ca1\u6709\u89c4\u5f8b\u53ef\u5faa\u5462\uff1f<\/p>\n<\/p><\/div>\n

      \u5927\u4f6c\u6709\u8a71\u8aaa<\/b> (9<\/span>) <\/div>\n
      <\/div>\n<\/p><\/div>\n<\/p><\/div>\n
        \n
      • \n
        \n
        \n
        \u8cc7\u6df1\u5927\u4f6c : darksword21 <\/span> <\/div>\n
        <\/i> <\/span> <\/div>\n<\/p><\/div>\n
        \u4e00\u8e72\uff0c\u4e00\u8e72\u5b8c\u4e86 <\/div>\n<\/p><\/div>\n<\/li>\n
      • \n
        \n
        \n
        \u8cc7\u6df1\u5927\u4f6c : Hieast <\/span> <\/div>\n
        <\/i> <\/span> <\/div>\n<\/p><\/div>\n
        \u53ef\u4ee5\u4e86\u89e3\u4e00\u4e0b\u56fe\u6570\u636e\u5e93 <\/div>\n<\/p><\/div>\n<\/li>\n
      • \n
        \n
        \n
        \u8cc7\u6df1\u5927\u4f6c : nulIptr <\/span> <\/div>\n
        <\/i> <\/span> <\/div>\n<\/p><\/div>\n
        \u601d\u8003\u95ee\u9898\u7684\u65f6\u5019\u4e00\u5b9a\u8981\u8003\u8651\u573a\u666f
        \u53e4\u65f6\u5019\u5185\u5b58\u6ca1\u90a3\u4e48\u5927\uff0c\u786c\u76d8\u8bbf\u95ee\u901f\u5ea6\u4e5f\u5f88\u6162\u3002\u73b0\u5728\u770b\u8d77\u6765\u6ca1\u90a3\u4e48\u5927\u7684\u6570\u636e\u91cf\u90a3\u65f6\u5019\u5904\u7406\u8d77\u6765\u4e5f\u6bd4\u8f83\u9ebb\u70e6\u3002
        \u629b\u5f00\u7269\u7406\u673a\u6027\u80fd\u4e0d\u8c08\u5173\u7cfb\u578b\u6570\u636e\u5e93\u8fd8\u8981\u6709 acid \u7279\u6027\u3002<\/p>\n

        \u5927\u5b66\u91cc\u6559\u6570\u636e\u7ed3\u6784\u7684\u8001\u5e08\u4e00\u822c\u90fd\u4f1a\u8bf4\u4e00\u53e5\uff0c\u81ea\u5df1\u5b9e\u73b0\u662f\u6570\u636e\u7ed3\u6784\u6bd4 stl \u5feb\u5f88\u6b63\u5e38\uff0c\u56e0\u4e3a stl \u8981\u5904\u7406\u5404\u79cd\u60c5\u51b5\u4ee5\u9002\u5e94\u5404\u79cd\u5404\u6837\u7684\u573a\u666f\uff0c\u800c\u4f60\u53ea\u9700\u8981\u5904\u7406\u4f60\u8fd9\u5757\u7684\u95ee\u9898\u3002<\/p>\n

        \u6211\u6562\u8bf4\u4efb\u4f55\u952e\u503c\u578b\u6570\u636e\u5e93\u67e5\u8be2\u901f\u5ea6\u90fd\u4e0d\u5982\u5404\u79cd\u8bed\u8a00\u5185\u7f6e\u7684 Map \u7ed3\u6784\u3002\u90a3\u53c8\u5982\u4f55\u5462\uff0c\u8fd9\u4fe9\u6839\u672c\u4e0d\u662f\u4e00\u4e2a\u7b49\u7ea7\u7684\u4e1c\u897f\u554a\u3002\u4f60\u6b63\u6587\u4e3e\u4f8b\u7684\u5185\u5b58\u5bf9\u8c61\u548c\u6570\u636e\u5e93\u600e\u4e48\u6bd4\uff1f\u5173\u7cfb\u578b\u6570\u636e\u5e93\u67e5\u8be2\u6700\u7ec8\u4e0d\u4e5f\u662f\u843d\u5728\u6570\u636e\u7ed3\u6784\u7684\u67e5\u8be2\u4e0a\u9762\uff1f <\/p><\/div>\n<\/p><\/div>\n<\/li>\n

      • \n
        \n
        \n
        \u8cc7\u6df1\u5927\u4f6c : xupefei <\/span> <\/div>\n
        <\/i> <\/span> <\/div>\n<\/p><\/div>\n
        \u770b\u4e86\u51e0\u904d\u6ca1\u770b\u61c2\u5728\u8bf4\u5565\u2026\u6211\u89c9\u5f97\u4e3b\u628a\u6570\u636e\u5e93\u7d22\u5f15\u548c\u771f\u6b63\u7684\u6570\u636e\u641e\u6df7\u4e86 <\/div>\n<\/p><\/div>\n<\/li>\n
      • \n
        \n
        \n
        \u8cc7\u6df1\u5927\u4f6c : tabris17 <\/span> <\/div>\n
        <\/i> <\/span> <\/div>\n<\/p><\/div>\n
        \u6ca1\u9519\u5bf9\u8c61\u6301\u4e45\u5316\u50a8\u5b58\u4e0d\u4e00\u5b9a\u8981\u7528\u5230\u5173\u7cfb\u6570\u636e\u5e93 <\/div>\n<\/p><\/div>\n<\/li>\n
      • \n
        \n
        \n
        \u8cc7\u6df1\u5927\u4f6c : auxox <\/span> <\/div>\n
        <\/i> <\/span> <\/div>\n<\/p><\/div>\n
        \u6240\u4ee5\u6587\u6863\u6570\u636e\u5e93\u4e0d\u80fd\u89e3\u51b3\u8fd9\u4e2a\u95ee\u9898\u5417\u3002 <\/div>\n<\/p><\/div>\n<\/li>\n
      • \n
        \n
        \n
        \u8cc7\u6df1\u5927\u4f6c : hxndg <\/span> <\/div>\n
        <\/i> <\/span> <\/div>\n<\/p><\/div>\n
        \uff1f\uff1f\uff1f\uff1f\uff1f\uff1f\uff1f\uff1f\uff1f\u5766\u767d\u8bf4\u6211\u6ca1\u770b\u61c2\u4f60\u5728\u8bf4\u5565\uff1f<\/p>\n

        \u4f60\u518d\u8bf4\u7d22\u5f15\uff1f\u8fd8\u662f\u6587\u6863\u6a21\u578b\u548c\u5173\u7cfb\u6a21\u578b\uff1f\u6291\u6216\u8bf4\u56fe\u6570\u636e\u5e93\uff1f<\/p>\n

        \u800c\u4e14\u8868\u7684\u7ed3\u6784\u548c\u7d22\u5f15\u4e5f\u4e0d\u662f\u5fc5\u7136\u8054\u7cfb\uff1f<\/p>\n

        \u800c\u4e14\u5185\u5b58\u5bf9\u8c61\u53ef\u4ee5\u968f\u673a\u8bbf\u95ee\uff0c\u5173\u7cfb\u6570\u636e\u5e93\u4e0d\u80fd\u968f\u673a\u8bbf\u95ee\u8fd9\u4e2a\u4e8b\u60c5\uff08\u4f60\u8bf4\u7684\u8be5\u662f\u786c\u76d8\u5427\uff0c\u5173\u7cfb\u6570\u636e\u5e93\u4e0d\u662f\u5b8c\u5168\u4e0d\u80fd\u968f\u673a\u8bbf\u95ee\u7684\uff09<\/p>\n

        \u5efa\u8bae\u5148\u770b\u770b\u300a\u6570\u636e\u5bc6\u96c6\u578b\u7cfb\u7edf\u8bbe\u8ba1\u300b\u524d\u4e09\u7ae0\uff1f <\/p><\/div>\n<\/p><\/div>\n<\/li>\n

      • \n
        \n
        \n
        \u4e3b<\/span> \u8cc7\u6df1\u5927\u4f6c : sillydaddy <\/span> <\/div>\n
        <\/i> <\/span> <\/div>\n<\/p><\/div>\n
        @Hieast
        @hxndg
        @auxox
        \u56fe\u6570\u636e\u5e93\uff1f\u6587\u6863\u6570\u636e\u5e93\uff1f \u597d\u7684\uff0c\u6211\u53bb\u4e86\u89e3\u4e00\u4e0b\u3002<\/p>\n

        @tabris17 #4 > \u201c\u6211\u89c9\u5f97\u4e3b\u628a\u6570\u636e\u5e93\u7d22\u5f15\u548c\u771f\u6b63\u7684\u6570\u636e\u641e\u6df7\u4e86\u201d
        \u6ca1\u6709\u5427\uff0c\u4f60\u53ef\u4ee5\u770b\u4e00\u4e0b\u4e3b\u9898\u91cc\u63d0\u5230\u7684\u90a3\u4e2a\u5e16\u5b50\u3002\u4e00\u4e2a\u6811\u5f62\u7ed3\u6784\uff0c\u5982\u679c\u4f7f\u7528\u5185\u5b58\u5bf9\u8c61\uff0c\u90a3\u4e48\u67e5\u627e\u548c\u4fee\u6539\u7684\u7b97\u6cd5\u5206\u522b\u53ef\u4ee5\u5728 O(N)\u548c O(1)\u7684\u65f6\u95f4\u590d\u6742\u5ea6\u5b8c\u6210\u3002\u800c\u4f7f\u7528\u5173\u7cfb\u578b\u6570\u636e\u5e93\uff0c\u5e94\u8be5\u662f\u8fbe\u4e0d\u5230\u8fd9\u4e2a\u65f6\u95f4\u590d\u6742\u5ea6\u7684\uff0c\u81f3\u5c11\u4e0d\u80fd\u540c\u65f6\u8fbe\u5230\u3002<\/p>\n

        @hxdng #7 > \u201c\u4f60\u8bf4\u7684\u8be5\u662f\u786c\u76d8\u5427\uff0c\u5173\u7cfb\u6570\u636e\u5e93\u4e0d\u662f\u5b8c\u5168\u4e0d\u80fd\u968f\u673a\u8bbf\u95ee\u7684\u201d
        \u6709\u53ef\u4ee5\u968f\u673a\u8bbf\u95ee\u7684\u5173\u7cfb\u578b\u6570\u636e\u5e93\u5417\uff1f\u8fd9\u5757\u4e0d\u4e86\u89e3\uff0c\u53ef\u4ee5\u4e3e\u4e2a\u4f8b\u5b50\u5417\uff1f <\/div>\n<\/p><\/div>\n<\/li>\n

      • \n
        \n
        \n
        \u8cc7\u6df1\u5927\u4f6c : hxndg <\/span> <\/div>\n
        <\/i> <\/span> <\/div>\n<\/p><\/div>\n
        @sillydaddy <\/p>\n

        \u9996\u5148\uff0c\u6570\u636e\u7ed3\u6784\u548c\u5173\u7cfb\u578b\u6570\u636e\u5e93\u6ca1\u6709\u5fc5\u7136\u8054\u7cfb\uff0c
        \u5176\u6b21\uff0c\u5173\u7cfb\u578b\u6570\u636e\u5e93\u662f\u53ef\u4ee5\u653e\u4e00\u90e8\u5206\u5728\u5185\u5b58\u91cc\u7684\uff0c
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