{"id":2482,"date":"2019-11-21T19:10:19","date_gmt":"2019-11-21T11:10:19","guid":{"rendered":"http:\/\/www.sniper97.cn\/?p=2482"},"modified":"2019-11-21T19:10:19","modified_gmt":"2019-11-21T11:10:19","slug":"%e3%80%90%e7%ae%97%e6%b3%95%e5%88%86%e6%9e%90%e4%b8%8e%e8%ae%be%e8%ae%a1%e3%80%91%e7%ba%a2%e9%bb%91%e6%a0%91","status":"publish","type":"post","link":"http:\/\/www.sniper97.cn\/index.php\/note\/introduction_to_algorithms\/2482\/","title":{"rendered":"\u3010\u7b97\u6cd5\u5bfc\u8bba\u3011\u7ea2\u9ed1\u6811"},"content":{"rendered":"\n

\u4e0a\u4e00\u7ae0\u7684\u4e8c\u53c9\u641c\u7d22\u6811\uff08\u5e73\u5747\u65f6\u95f4\u590d\u6742\u5ea6O(n)\uff09\uff0c\u5f88\u5bb9\u6613\u5728n\u4e2a\u957f\u5ea6\u4e0b\u5f62\u6210\u9ad8\u5ea6\u4e3an-1\u7684\u4e00\u6761\u94fe\uff0c\u4e3a\u4e86\u907f\u514d\u8fd9\u79cd\u60c5\u51b5\uff0c\u5f15\u5165\u7ea2\u9ed1\u6811\uff0c\u7ea2\u9ed1\u6811\u662f\u8bb8\u591a\u201c\u5e73\u8861\u201d\u641c\u7d22\u6811\u4e2d\u7684\u4e00\u79cd\uff0c\u53ef\u4ee5\u4fdd\u8bc1\u5728\u6700\u574f\u60c5\u51b5\u4e0b\u57fa\u672c\u52a8\u6001\u96c6\u5408\u64cd\u4f5c\u65f6\u95f4\u590d\u6742\u5ea6\u4e3aO(lgn) \u3002<\/p>\n\n\n

1.\u7ea2\u9ed1\u6811\u6027\u8d28<\/h2>\n\n\n

\u7ea2\u9ed1\u6811\u662f\u4e00\u68f5\u4e8c\u53c9\u641c\u7d22\u6811\uff0c\u5b83\u5728\u6bcf\u4e2a\u7ed3\u70b9\u4e0a\u589e\u52a0\u4e86\u4e00\u4e2a\u5b58\u50a8\u4f4d\u6765\u8868\u793a\u7ed3\u70b9\u7684\u989c\u8272<\/strong>\uff0c\u53ef\u4ee5\u4f7fRED\u6216BLACK\u3002\u901a\u8fc7\u5bf9\u4efb\u4f55\u4e00\u6761\u4ece\u6839\u5230\u53f6\u5b50\u7684\u7b80\u5355\u8def\u5f84\u4e0a\u5404\u4e2a\u7ed3\u70b9\u7684\u989c\u8272\u8fdb\u884c\u7ea6\u675f\uff0c\u7ea2\u9ed1\u6811\u786e\u4fdd\u6ca1\u6709\u4e00\u6761\u8def\u5f84\u4f1a\u6bd4\u5176\u4ed6\u8def\u5f84\u957f\u51fa2\u500d\uff0c\u56e0\u800c\u662f\u8fd1\u4f3c\u4e8e\u5e73\u8861\u7684<\/strong>\u3002<\/p>\n\n\n

\u6811\u4e2d\u6bcf\u4e2a\u7ed3\u70b9\u5305\u542b5\u4e2a\u5c5e\u6027\uff1acolor\u3001key\u3001left\u3001right\u3002<\/p>\n\n\n

\"\"<\/figure><\/div>\n\n\n

\u4e00\u68f5\u7ea2\u9ed1\u6811\u9700\u8981\u6ee1\u8db3\u4ee5\u4e0b\u6761\u4ef6\uff1a<\/p>\n\n\n

  • \u6bcf\u4e2a\u7ed3\u70b9\u662f\u7ea2\u8272\u6216\u8005\u9ed1\u8272\u7684\u3002<\/li>
  • \u6839\u8282\u70b9\u662f\u9ed1\u8272\u7684\u3002<\/li>
  • \u6bcf\u4e2a\u53f6\u7ed3\u70b9\u662f\u9ed1\u8272\u7684\u3002<\/li>
  • \u5982\u679c\u4e00\u4e2a\u7ed3\u70b9\u662f\u7ea2\u8272\u7684\uff0c\u5219\u5b83\u7684\u4e24\u4e2a\u5b50\u7ed3\u70b9\u90fd\u662f\u9ed1\u8272\u7684\u3002<\/li>
  • \u5bf9\u6bcf\u4e2a\u7ed3\u70b9\uff0c\u4ece\u8be5\u7ed3\u70b9\u5230\u6240\u6709\u540e\u4ee3\u53f6\u7ed3\u70b9\u7684\u7b80\u5355\u8def\u5f84\u4e0a\uff0c\u5747\u5305\u542b\u6570\u76ee\u76f8\u540c\u7684\u9ed1\u8272\u7ed3\u70b9\u3002<\/li><\/ul>\n\n\n

    \u4ece\u67d0\u4e2a\u7ed3\u70b9x\u51fa\u53d1\uff08\u4e0d\u542b\u8be5\u7ed3\u70b9\uff09\uff0c\u5230\u8fbe\u4e00\u4e2a\u53f6\u7ed3\u70b9\u7684\u4efb\u610f\u4e00\u6761\u7b80\u5355\u8def\u5f84\u4e0a\u7684\u9ed1\u8272\u7ed3\u70b9\u4e2a\u6570\u79f0\u4e3a\u8be5\u7ed3\u70b9\u7684\u9ed1\u9ad8<\/strong>\uff0c\u8bb0\u4e3abh(x)\u3002<\/p>\n\n\n

    \u4e00\u68f5\u6709n\u4e2a\u5185\u90e8\u7ed3\u70b9\u7684\u7ea2\u9ed1\u6811\u7684\u9ad8\u5ea6\u81f3\u591a\u4e3a2lg(n+1)<\/strong>\u3002\u5373h<=2lg(n+1)<\/strong>\u3002<\/p>\n\n\n

    \u800c\u6240\u6709\u7684\u641c\u7d22\u3001\u6c42\u6700\u5927\u6700\u5c0f\u503c\u3001\u627e\u524d\u9a71\u540e\u7f6e\u5747\u53ef\u4ee5\u5728O(lgn)\u5185\u5b8c\u6210\u3002<\/strong><\/p>\n\n\n

    \u53ef\u4ee5\u4f7f\u7528\u4e00\u4e2a\u9ed1\u8272\u7684\u54e8\u5175\u4ee3\u66ff\u6240\u6709\u7684NIL\u7ed3\u70b9\uff0c\u8fd9\u6837\u53ef\u4ee5\u8282\u7701\u7a7a\u95f4\u3002<\/p>\n\n\n

    \"\"<\/figure><\/div>\n\n\n

    \u800c\u4e00\u822c\uff0c\u6211\u4eec\u4e3a\u4e86\u7701\u7565\u753b\u56fe\uff0c\u753b\u6210\u8fd9\u6837\uff1a<\/p>\n\n\n

    \"\"<\/figure><\/div>\n\n\n

    2.\u65cb\u8f6c<\/h2>\n\n\n

    \u7531\u4e8e\u63d2\u5165\u548c\u5220\u9664\u53ef\u80fd\u4f1a\u7834\u574f\u7ea2\u9ed1\u6811\u5e73\u8861\u7684\u6027\u8d28\uff0c\u56e0\u6b64\u5728\u63d2\u5165\u548c\u5220\u9664\u4e4b\u540e\uff0c\u53ef\u80fd\u9700\u8981\u901a\u8fc7\u65cb\u8f6c\u6765\u7ee7\u7eed\u6ee1\u8db3\u7ea2\u9ed1\u6811\u7684\u6027\u8d28\u3002<\/p>\n\n\n

    \u5de6\u53f3\u65cb\u5982\u4e0b\u56fe\u6240\u793a\uff1a<\/p>\n\n\n

    \"\"<\/figure><\/div>\n\n\n

    \u5de6\u53f3\u65cb\u51fd\u6570\uff1a<\/p>\n\n\n

    def left_rotate(self, node, pre):
        \"\"\"
    <\/em>    <\/em>\u5de6\u65cb<\/em>(node<\/em>\u7684\u5de6\u8282\u70b9\u65cb\u8f6c\u5230<\/em>node<\/em>\u5f53\u524d\u4f4d\u7f6e
    <\/em>    <\/em>:param<\/em><\/strong> node:
    <\/em>    <\/em>:param<\/em><\/strong> pre:
    <\/em>    <\/em>:return<\/em><\/strong>:
    <\/em>    \"\"\"
    <\/em>    <\/em>next = node.right
        # \u5982\u679c\u4ea4\u6362\u7684\u70b9\u662f\u7236\u8282\u70b9\u7684\u5de6\u5b69\u5b50
        if pre.right == node:
            pre.right = next
            node.right = next.left
            next.left = node
        # \u5982\u679c\u4ea4\u6362\u7684\u70b9\u662f\u7236\u8282\u70b9\u7684\u53f3\u5b69\u5b50
        if pre.left == node:
            pre.left = next
            node.right = next.left
            next.left = node

    def right_rotate(self, node, pre):
        \"\"\"
    <\/em>    <\/em>\u53f3\u65cb<\/em>(node<\/em>\u7684\u53f3\u8282\u70b9\u65cb\u8f6c\u5230<\/em>node<\/em>\u5f53\u524d\u4f4d\u7f6e
    <\/em>    <\/em>:param<\/em><\/strong> node:
    <\/em>    <\/em>:param<\/em><\/strong> pre:
    <\/em>    <\/em>:return<\/em><\/strong>:
    <\/em>    \"\"\"
    <\/em>    <\/em>next = node.right
        # \u5982\u679c\u4ea4\u6362\u7684\u70b9\u662f\u7236\u8282\u70b9\u7684\u5de6\u5b69\u5b50
        if pre.right == node:
            pre.right = next
            node.left = next.right
            next.right = node
        # \u5982\u679c\u4ea4\u6362\u7684\u70b9\u662f\u7236\u8282\u70b9\u7684\u53f3\u5b69\u5b50
        if pre.left == node:
            pre.left = next
            node.left = next.right
            next.right = node<\/pre>\n\n\n
    \u5982\u56fe\uff0c\u6211\u4eec\u53ef\u4ee5\u901a\u8fc7\u4e00\u4e2a\u5b9e\u4f8b\uff1a\u5148\u6253\u5370\u5f53\u524d\u56fe\u7684\u524d\u5e8f\u4ee5\u53ca\u4e2d\u5e8f\u904d\u5386\u6765\u786e\u5b9a\u5f53\u524d\u6811\uff1a<\/p>\n\n\n
    \"\"<\/figure><\/div>\n\n\n
    \"\"<\/figure><\/div>\n\n\n
    \u8c03\u7528\u5de6\u65cb\u4e4b\u540e\u518d\u6b21\u8f93\u51fa\u5f53\u524d\u6811\uff1a<\/p>\n\n\n
    \"\"<\/figure><\/div>\n\n\n
    \"\"<\/figure><\/div>\n\n\n
    3.\u63d2\u5165<\/h2>\n\n\n
    \u63d2\u5165\u5206\u51e0\u79cd\u60c5\u51b5\uff0c\u9664\u4e86\u50cf\u4e8c\u53c9\u6811\u4e00\u6837\u63d2\u5165\uff0c\u8fd8\u8981\u505a\u4e00\u4e9b\u64cd\u4f5c\u4fdd\u6301\u7ea2\u9ed1\u6811\u6027\u8d28\u3002\u5206\u4ee5\u4e0b\u56db\u79cd\u60c5\u51b5\uff1a<\/p>\n\n\n
    \u7b2c\u4e00\u79cd\u60c5\u51b5\uff0c\u5982\u679c\u63d2\u5165\u7684\u7ed3\u70b9\u662f\u6839\u8282\u70b9\uff0c\u5219\u76f4\u63a5\u53d8\u6210\u9ed1\u8272\u3002<\/p>\n\n\n
    \"\"<\/figure><\/div>\n\n\n
    \u7b2c\u4e8c\u79cd\u60c5\u51b5\u662f\u63d2\u5165\u70b9\u7684\u53d4\u53d4\u7ed3\u70b9\u4e3a\u7ea2\u8272\uff0c\u89e3\u51b3\u529e\u6cd5\u662f\u91cd\u65b0\u67d3\u8272\uff1a<\/p>\n\n\n
    \"\"<\/figure><\/div>\n\n\n
    \"\"<\/figure><\/div>\n\n\n
    \u7b2c\u4e09\u79cd\u60c5\u51b5\u662f\u63d2\u5165\u7ed3\u70b9\u7684\u53d4\u53d4\u662f\u9ed1\u8272\uff08\u4e09\u89d2\u5f62\uff09\uff0c\u89e3\u51b3\u65b9\u6cd5\u662f\u65cb\u8f6c\uff1a<\/p>\n\n\n
    \"\"<\/figure><\/div>\n\n\n
    \"\"<\/figure><\/div>\n\n\n
    \"\"<\/figure><\/div>\n\n\n
    \u6700\u540e\u4e00\u79cd\u60c5\u51b5\u662f\u63d2\u5165\u7ed3\u70b9\u7684\u53d4\u53d4\u662f\u9ed1\u8272\uff08\u7ebf\u6027\uff09\uff0c\u89e3\u51b3\u65b9\u6cd5\u4f9d\u7136\u662f\u65cb\u8f6c\uff1a<\/p>\n\n\n
    \"\"<\/figure><\/div>\n\n\n
    \"\"<\/figure><\/div>\n\n\n
    4.\u5220\u9664<\/h2>\n\n\n
    \u5220\u9664\u7ed3\u70b9\u7684\u65f6\u95f4\u590d\u6742\u5ea6\u4e0e\u63d2\u5165\u4e00\u6837\uff0c\u4f9d\u7136\u662fO(lgn)\u3002<\/p>\n\n\n
    \u6709\u4ee5\u4e0b\u51e0\u79cd\u60c5\u51b5\uff1a<\/p>\n\n\n
    \"\"<\/figure><\/div>\n","protected":false},"excerpt":{"rendered":"
    \u4e0a\u4e00\u7ae0\u7684\u4e8c\u53c9\u641c\u7d22\u6811\uff08\u5e73\u5747\u65f6\u95f4\u590d\u6742\u5ea6O(n)\uff09\uff0c\u5f88\u5bb9\u6613\u5728n\u4e2a\u957f\u5ea6\u4e0b\u5f62\u6210\u9ad8\u5ea6\u4e3an-1\u7684\u4e00\u6761\u94fe\uff0c\u4e3a\u4e86\u907f\u514d\u8fd9 […]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"om_disable_all_campaigns":false,"_mi_skip_tracking":false,"_monsterinsights_sitenote_active":false,"_monsterinsights_sitenote_note":"","_monsterinsights_sitenote_category":0,"footnotes":""},"categories":[11],"tags":[],"views":5837,"_links":{"self":[{"href":"http:\/\/www.sniper97.cn\/index.php\/wp-json\/wp\/v2\/posts\/2482"}],"collection":[{"href":"http:\/\/www.sniper97.cn\/index.php\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"http:\/\/www.sniper97.cn\/index.php\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"http:\/\/www.sniper97.cn\/index.php\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"http:\/\/www.sniper97.cn\/index.php\/wp-json\/wp\/v2\/comments?post=2482"}],"version-history":[{"count":0,"href":"http:\/\/www.sniper97.cn\/index.php\/wp-json\/wp\/v2\/posts\/2482\/revisions"}],"wp:attachment":[{"href":"http:\/\/www.sniper97.cn\/index.php\/wp-json\/wp\/v2\/media?parent=2482"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"http:\/\/www.sniper97.cn\/index.php\/wp-json\/wp\/v2\/categories?post=2482"},{"taxonomy":"post_tag","embeddable":true,"href":"http:\/\/www.sniper97.cn\/index.php\/wp-json\/wp\/v2\/tags?post=2482"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}