{"id":2471,"date":"2019-11-19T16:25:43","date_gmt":"2019-11-19T08:25:43","guid":{"rendered":"http:\/\/www.sniper97.cn\/?p=2471"},"modified":"2019-11-19T16:25:43","modified_gmt":"2019-11-19T08:25:43","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%e4%ba%8c%e5%8f%89%e6%90%9c%e7%b4%a2%e6%a0%91","status":"publish","type":"post","link":"http:\/\/www.sniper97.cn\/index.php\/note\/introduction_to_algorithms\/2471\/","title":{"rendered":"\u3010\u7b97\u6cd5\u5bfc\u8bba\u3011\u4e8c\u53c9\u641c\u7d22\u6811"},"content":{"rendered":"\n<h2 class=\"wp-block-heading\">1.\u4ec0\u4e48\u662f\u4e8c\u53c9\u641c\u7d22\u6811<\/h2>\n\n\n<div class=\"wp-block-image\"><figure class=\"aligncenter\"><img loading=\"lazy\" decoding=\"async\" width=\"615\" height=\"236\" src=\"\/wp-content\/uploads\/2019\/11\/\u56fe\u7247-132.png\" alt=\"\" class=\"wp-image-2472\" srcset=\"http:\/\/www.sniper97.cn\/wp-content\/uploads\/2019\/11\/\u56fe\u7247-132.png 615w, http:\/\/www.sniper97.cn\/wp-content\/uploads\/2019\/11\/\u56fe\u7247-132-300x115.png 300w\" sizes=\"(max-width: 615px) 100vw, 615px\" \/><\/figure><\/div>\n\n\n<p>\u4e8c\u53c9\u641c\u7d22\u6811\uff1a\u5bf9\u4efb\u4f55\u7ed3\u70b9x\uff0c\u5176\u5de6\u5b50\u6811\u4e2d\u7684\u5173\u952e\u5b57\u6700\u5927\u4e0d\u8d85\u8fc7x.key\uff0c\u5176\u53f3\u5b50\u6811\u7684\u5173\u952e\u5b57\u6700\u5c0f\u4e0d\u4f4e\u4e8ex.key\uff0c\u4e0d\u540c\u7684\u4e8c\u53c9\u641c\u7d22\u6811\u53ef\u4ee5\u4ee3\u8868\u540c\u4e00\u7ec4\u503c\u7684\u96c6\u5408\u3002<\/p>\n\n\n<p>\u4e8c\u53c9\u641c\u7d22\u6811\u7684\u6027\u8d28\u5141\u8bb8\u6211\u4eec\u901a\u8fc7\u4e00\u4e2a\u7b80\u5355\u7684\u9012\u5f52\u7b97\u6cd5\u6765\u6309\u5e8f\u8f93\u51fa\u4e8c\u53c9\u6811\u4e2d\u7684\u6240\u6709\u5173\u952e\u5b57\uff0c\u8fd9\u79cd\u7b97\u6cd5\u79f0\u4e3a<strong>\u4e2d\u5e8f\u904d\u5386<\/strong>\u7b97\u6cd5\uff08\u5de6\u6839\u53f3\uff09\uff0c\u7c7b\u4f3c\u7684\u8fd8\u6709<strong>\u5148\u5e8f\u904d\u5386<\/strong>\uff08\u6839\u5de6\u53f3\uff09\u548c<strong>\u540e\u5e8f\u904d\u5386<\/strong>\uff08\u5de6\u53f3\u6839\uff09\u3002<\/p>\n\n\n<h2 class=\"wp-block-heading\">2.\u67e5\u8be2\u4e8c\u53c9\u641c\u7d22\u6811<\/h2>\n\n\n<h3 class=\"wp-block-heading\">\u67e5\u627e<\/h3>\n\n\n<p>\u6211\u4eec\u4f7f\u7528\u6807\u51c6\u7684\u94fe\u8868\u5b58\u50a8\u6811\u7684\u65b9\u5f0f\uff0c\u5373left\u5b58\u50a8\u5de6\u5b69\u5b50\uff0cright\u5b58\u50a8\u53c8\u5b69\u5b50\u3002<\/p>\n\n\n<pre class=\"wp-block-preformatted\">    def tree_search(self, root, k):\n        <em>\"\"\"\n        \u4e8c\u53c9\u6811\u641c\u7d22\n        <\/em><strong><em>:param<\/em><\/strong><em> k:\u641c\u7d22\u662f\u5426\u6709k\n        <\/em><strong><em>:return<\/em><\/strong><em>:\n        \"\"\"\n       <\/em>if root is None:\n           return None\n       if root.value == k:\n           return root.value\n       if k &lt; root.value:\n           return self.tree_search(root.left, k)\n       else:\n           return self.tree_search(root.right, k)\nclass Node():\n    def __init__(self, value, left=None, right=None):\n        self.value = value\n        self.left = left\n        self.right = right\n    def getter_value(self):\n        return self.value\n    def getter_left(self):\n        return self.left\n    def getter_right(self):\n        return self.right\n    def setter_value(self, value):\n        self.value = value\n    def setter_left(self, left):\n        self.left = left\n    def setter_right(self, right):\n        self.right = right<\/pre>\n\n\n<p>\u521d\u59cb\u5316\u6811\uff1a<\/p>\n\n\n<div class=\"wp-block-image\"><figure class=\"aligncenter\"><img loading=\"lazy\" decoding=\"async\" width=\"375\" height=\"217\" src=\"\/wp-content\/uploads\/2019\/11\/\u56fe\u7247-133.png\" alt=\"\" class=\"wp-image-2474\" srcset=\"http:\/\/www.sniper97.cn\/wp-content\/uploads\/2019\/11\/\u56fe\u7247-133.png 375w, http:\/\/www.sniper97.cn\/wp-content\/uploads\/2019\/11\/\u56fe\u7247-133-300x174.png 300w\" sizes=\"(max-width: 375px) 100vw, 375px\" \/><\/figure><\/div>\n\n\n<pre class=\"wp-block-preformatted\">n11 = Node(9)<br \/>n10 = Node(13, n11)<br \/>n9 = Node(4)<br \/>n8 = Node(2)<br \/>n7 = Node(20)<br \/>n6 = Node(17)<br \/>n5 = Node(7, None, n10)<br \/>n4 = Node(3, n8, n9)<br \/>n3 = Node(18, n6, n7)<br \/>n2 = Node(6, n4, n5)<br \/>root = Node(15, n2, n3)<br \/>b = BinaryTree(root)<\/pre>\n\n\n<h3 class=\"wp-block-heading\">\u6700\u5927\u5173\u952e\u5b57\u5143\u7d20\u548c\u6700\u5c0f\u5173\u952e\u5b57\u5143\u7d20<\/h3>\n\n\n<p>\u901a\u8fc7\u6839\u8282\u70b9\uff0c\u5411\u5de6\uff08\u53f3\uff09\u5bfb\u627e\u6700\u5de6\uff08\u53f3\uff09\u7684\u53f6\u5b50\u8282\u70b9\uff0c\u5373\u4e3a\u6700\u5c0f\uff08\u5927\uff09\u5173\u952e\u5b57\u5143\u7d20\u3002<\/p>\n\n\n<pre class=\"wp-block-preformatted\">def tree_max(self):<br \/>    <em>\"\"\"<br \/><\/em><em>    <\/em><em>\u641c\u7d22\u6700\u5927\u5143\u7d20<br \/><\/em><em>    <\/em><strong><em>:return<\/em><\/strong><em>:<br \/><\/em><em>    \"\"\"<br \/><\/em><em>    <\/em>node = self.root<br \/>    while node.right is not None:<br \/>        node = node.right<br \/>    return node.value<br \/><br \/>def tree_min(self):<br \/>    <em>\"\"\"<br \/><\/em><em>    <\/em><em>\u641c\u7d22\u6700\u5c0f\u5143\u7d20<br \/><\/em><em>    <\/em><strong><em>:return<\/em><\/strong><em>:<br \/><\/em><em>    \"\"\"<br \/><\/em><em>    <\/em>node = self.root<br \/>    while node.left is not None:<br \/>        node = node.left<br \/>    return node.value<\/pre>\n\n\n<h2 class=\"wp-block-heading\">3.\u63d2\u5165\u548c\u5220\u9664<\/h2>\n\n\n<p>\u63d2\u5165\u548c\u5220\u9664\u64cd\u4f5c\u4f1a\u5f15\u8d77\u4e8c\u53c9\u641c\u7d22\u6811\u8868\u793a\u7684\u52a8\u6001\u96c6\u5408\u53d8\u5316\u3002\u56e0\u6b64\u4e00\u5b9a\u8981\u4fee\u6539\u6570\u636e\u7ed3\u6784\u6765\u53cd\u6620\u8fd9\u4e2a\u53d8\u5316\uff0c\u5e76\u4e14\u4fdd\u6301\u4e8c\u53c9\u641c\u7d22\u6811\u7684\u6027\u8d28\u6210\u7acb\u3002<\/p>\n\n\n<h3 class=\"wp-block-heading\">\u63d2\u5165<\/h3>\n\n\n<p>\u7ed3\u70b9\u63d2\u5165\u8981\u63d2\u5165\u5230\u4e00\u4e2a\u63d2\u5165\u540e\u4f9d\u7136\u4fdd\u6301\u4e8c\u53c9\u641c\u7d22\u6811\u6027\u8d28\u7684\u4f4d\u7f6e\uff0c\u627e\u5230\u540e\u5bb9\u7136\u540e\u4ea4\u6362\u3002<\/p>\n\n\n<p>\u8fd9\u4e2a\u60f3\u7b80\u5355\u4e86\u54c8\u54c8\u54c8\u54c8\u540e\u9762\u7ea2\u9ed1\u6811\u63d2\u5165\u7684\u65f6\u5019\u53d1\u73b0\u6709\u60c5\u51b5\u6ca1\u8003\u8651\u5230\uff0c\u8fd9\u4e2a\u6709\u4e9b\u60c5\u51b5\u4f1a\u51fa\u73b0\u5f02\u5e38\uff0c\u6211\u628a\u540e\u9762\u7ea2\u9ed1\u6811\u7684\u63d2\u5165\u653e\u8fc7\u6765\uff0c\u4e0d\u6d89\u53ca\u7ea2\u9ed1\u6811\u53d8\u6362\uff0c\u9664\u4e86\u591a\u4e86\u4e2a\u6307\u9488\u6ca1\u533a\u522b\u3002<\/p>\n\n\n<p>\u8fd9\u662f\u9519\u8bef\u4ee3\u7801\uff1a<\/p>\n\n\n<pre class=\"wp-block-preformatted\">def tree_insert(self, node, k, pre=None, left=True):\n    <em>\"\"\"\n    \u63d2\u5165\u6811\n    <\/em><strong><em>:param<\/em><\/strong><em> node: \u6839\u8282\u70b9\n    <\/em><strong><em>:param<\/em><\/strong><em> k: \u63d2\u5165\u503c\n    <\/em><strong><em>:param<\/em><\/strong><em> pre: \u5f53\u524d\u8282\u70b9\u7684\u7236\u8282\u70b9\n    <\/em><strong><em>:param<\/em><\/strong><em> left: \u662f\u5426\u4e3a\u5411\u5de6\u5bfb\u627e\uff08\u5224\u65ad\u5927\u5c0f\u7684\u4f9d\u636e\uff09\n    <\/em><strong><em>:return<\/em><\/strong><em>:\n    \"\"\"\n    <\/em># \u8bf4\u660e\u9700\u8981\u65b0\u589e\u53f6\u5b50\u8282\u70b9\n    if node is None:\n        n = Node(k)\n        if left:\n            pre.left = n\n        else:\n            pre.right = n\n        return\n    # \u5411\u5de6\u6bd4\u8f83\n    if node.value &gt; k and left:\n        self.tree_insert(node.left, k, node, True)\n    # \u5411\u53f3\u6bd4\u8f83\n    elif node.value &lt; k and not left:\n        self.tree_insert(node.right, k, node, False)\n    # \u63d2\u5165\u7ed3\u70b9\n    else:\n        n = Node(k)\n        if left:\n            pre.left = n\n            n.left = node\n        else:\n            pre.right = n\n            n.right = node<\/pre>\n\n\n<p>\u7ea2\u9ed1\u6811\u90e8\u5206\u7684\u63d2\u5165\uff08\u4e0d\u6d89\u53ca\u65cb\u8f6c\u53d8\u5316\uff09\uff1a<\/p>\n\n\n<pre class=\"wp-block-preformatted\">def rb_insert(self, node, k, pre=None, left=True):\n    <em>\"\"\"\n    \u63d2\u5165\u6811\n    <\/em><strong><em>:param<\/em><\/strong><em> node: \u6839\u8282\u70b9\n    <\/em><strong><em>:param<\/em><\/strong><em> k: \u63d2\u5165\u503c\n    <\/em><strong><em>:param<\/em><\/strong><em> pre: \u5f53\u524d\u8282\u70b9\u7684\u7236\u8282\u70b9\n    <\/em><strong><em>:param<\/em><\/strong><em> left: \u662f\u5426\u4e3a\u5411\u5de6\u5bfb\u627e\uff08\u5224\u65ad\u5927\u5c0f\u7684\u4f9d\u636e\uff09\n    <\/em><strong><em>:return<\/em><\/strong><em>:\n    \"\"\"\n    <\/em>print(node.key)\n    # \u8bf4\u660e\u9700\u8981\u65b0\u589e\u53f6\u5b50\u8282\u70b9\n    if node.left.key == None or node.right.key == None:\n        print('leave')\n        n = Node(k, 'red')\n        if node.key > k:\n            node.left = n\n            n.pre = node\n            n.left = n.right = self.root.pre\n        else:\n            node.right = n\n            n.pre = node\n            n.right = n.left = self.root.pre\n        # self.rb_fixup(n)\n        return\n    # \u5411\u5de6\u6bd4\u8f83\n    if node.key > k and left:\n        self.rb_insert(node.left, k, node)\n    # \u5411\u53f3\u6bd4\u8f83\n    elif node.key &lt; k:\n        self.rb_insert(node.right, k, node)\n    # \u63d2\u5165\u7ed3\u70b9\n    else:\n        n = Node(k, 'red')\n        if left:\n            pre.left = n\n            n.pre = pre\n            n.left = node\n            node.pre = n\n            n.right = node.right\n            node.right.pre = n\n            node.right = self.root.pre\n        else:\n            pre.right = n\n            n.pre = pre\n            n.right = node\n            node.pre = n\n            n.left = node.left\n            node.left.pre = n\n            node.left = self.root.pre<\/pre>\n\n\n<h3 class=\"wp-block-heading\">\u5220\u9664<\/h3>\n\n\n<p>\u5220\u9664\u5206\u4e3a\u4e09\u79cd\uff0c\u76f4\u63a5\u5220\u9664\u53f6\u5b50\u8282\u70b9\uff1b\u53ea\u6709\u4e00\u4e2a\u5b69\u5b50\uff0c\u4e0e\u5b69\u5b50\u4ea4\u6362\u540e\u5220\u9664\u5373\u53ef\uff1b\u6709\u4e24\u4e2a\u5b69\u5b50\uff0c\u5219\u9700\u8981\u627e\u4e0b\u4e00\u4e2a\u6bd4\u4ed6\u5927\u7684\u6570\u66ff\u6362\u8be5\u6570\uff08\u4e2d\u5e8f\u904d\u5386\u53ef\u4ee5\u5f97\u5230\u6811\u7684\u5e8f\u5217\uff09<\/p>\n\n\n<p>\u7b2c\u4e00\u79cd:<\/p>\n\n\n<div class=\"wp-block-image\"><figure class=\"aligncenter\"><img loading=\"lazy\" decoding=\"async\" width=\"419\" height=\"316\" src=\"\/wp-content\/uploads\/2019\/11\/\u56fe\u7247-134.png\" alt=\"\" class=\"wp-image-2476\" srcset=\"http:\/\/www.sniper97.cn\/wp-content\/uploads\/2019\/11\/\u56fe\u7247-134.png 419w, http:\/\/www.sniper97.cn\/wp-content\/uploads\/2019\/11\/\u56fe\u7247-134-300x226.png 300w\" sizes=\"(max-width: 419px) 100vw, 419px\" \/><\/figure><\/div>\n\n\n<p>\u7b2c\u4e8c\u79cd\uff1a<\/p>\n\n\n<div class=\"wp-block-image\"><figure class=\"aligncenter\"><img loading=\"lazy\" decoding=\"async\" width=\"420\" height=\"324\" src=\"\/wp-content\/uploads\/2019\/11\/\u56fe\u7247-135.png\" alt=\"\" class=\"wp-image-2477\" srcset=\"http:\/\/www.sniper97.cn\/wp-content\/uploads\/2019\/11\/\u56fe\u7247-135.png 420w, http:\/\/www.sniper97.cn\/wp-content\/uploads\/2019\/11\/\u56fe\u7247-135-300x231.png 300w\" sizes=\"(max-width: 420px) 100vw, 420px\" \/><\/figure><\/div>\n\n\n<p>\u7b2c\u4e09\u79cd\uff1a<\/p>\n","protected":false},"excerpt":{"rendered":"<p>1.\u4ec0\u4e48\u662f\u4e8c\u53c9\u641c\u7d22\u6811 \u4e8c\u53c9\u641c\u7d22\u6811\uff1a\u5bf9\u4efb\u4f55\u7ed3\u70b9x\uff0c\u5176\u5de6\u5b50\u6811\u4e2d\u7684\u5173\u952e\u5b57\u6700\u5927\u4e0d\u8d85\u8fc7x.key\uff0c\u5176\u53f3\u5b50\u6811\u7684\u5173 [&hellip;]<\/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":6029,"_links":{"self":[{"href":"http:\/\/www.sniper97.cn\/index.php\/wp-json\/wp\/v2\/posts\/2471"}],"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=2471"}],"version-history":[{"count":0,"href":"http:\/\/www.sniper97.cn\/index.php\/wp-json\/wp\/v2\/posts\/2471\/revisions"}],"wp:attachment":[{"href":"http:\/\/www.sniper97.cn\/index.php\/wp-json\/wp\/v2\/media?parent=2471"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"http:\/\/www.sniper97.cn\/index.php\/wp-json\/wp\/v2\/categories?post=2471"},{"taxonomy":"post_tag","embeddable":true,"href":"http:\/\/www.sniper97.cn\/index.php\/wp-json\/wp\/v2\/tags?post=2471"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}