{"id":619,"date":"2020-09-26T11:04:00","date_gmt":"2020-09-26T03:04:00","guid":{"rendered":"http:\/\/39.96.58.60\/?p=619"},"modified":"2022-10-18T16:45:04","modified_gmt":"2022-10-18T08:45:04","slug":"leetcode-10-%e6%ad%a3%e5%88%99%e8%a1%a8%e8%be%be%e5%bc%8f%e5%8c%b9%e9%85%8d","status":"publish","type":"post","link":"http:\/\/www.yatenglg.cn\/blog\/?p=619","title":{"rendered":"Leetcode 10. \u6b63\u5219\u8868\u8fbe\u5f0f\u5339\u914d"},"content":{"rendered":"<p>\u7ed9\u4f60\u4e00\u4e2a\u5b57\u7b26\u4e32&nbsp;<code>s<\/code>&nbsp;\u548c\u4e00\u4e2a\u5b57\u7b26\u89c4\u5f8b&nbsp;<code>p<\/code>\uff0c\u8bf7\u4f60\u6765\u5b9e\u73b0\u4e00\u4e2a\u652f\u6301 <code>'.'<\/code>&nbsp;\u548c&nbsp;<code>'*'<\/code>&nbsp;\u7684\u6b63\u5219\u8868\u8fbe\u5f0f\u5339\u914d\u3002<\/p>\n<pre>'.' \u5339\u914d\u4efb\u610f\u5355\u4e2a\u5b57\u7b26\n\n'*' \u5339\u914d\u96f6\u4e2a\u6216\u591a\u4e2a\u524d\u9762\u7684\u90a3\u4e00\u4e2a\u5143\u7d20\n\n<\/pre>\n<p>\u6240\u8c13\u5339\u914d\uff0c\u662f\u8981\u6db5\u76d6&nbsp;<strong>\u6574\u4e2a&nbsp;<\/strong>\u5b57\u7b26\u4e32&nbsp;<code>s<\/code>\u7684\uff0c\u800c\u4e0d\u662f\u90e8\u5206\u5b57\u7b26\u4e32\u3002<\/p>\n<p><strong>\u8bf4\u660e:<\/strong><\/p>\n<ul>\n<li><code>s<\/code>&nbsp;\u53ef\u80fd\u4e3a\u7a7a\uff0c\u4e14\u53ea\u5305\u542b\u4ece&nbsp;<code>a-z<\/code>&nbsp;\u7684\u5c0f\u5199\u5b57\u6bcd\u3002<\/li>\n<li><code>p<\/code>&nbsp;\u53ef\u80fd\u4e3a\u7a7a\uff0c\u4e14\u53ea\u5305\u542b\u4ece&nbsp;<code>a-z<\/code>&nbsp;\u7684\u5c0f\u5199\u5b57\u6bcd\uff0c\u4ee5\u53ca\u5b57\u7b26&nbsp;<code>.<\/code>&nbsp;\u548c&nbsp;<code>*<\/code>\u3002<\/li>\n<\/ul>\n<p><strong>\u793a\u4f8b 1:<\/strong><\/p>\n<pre><strong>\u8f93\u5165:<\/strong>\n\ns = \"aa\"\n\np = \"a\"\n\n<strong>\u8f93\u51fa:<\/strong> false\n\n<strong>\u89e3\u91ca:<\/strong> \"a\" \u65e0\u6cd5\u5339\u914d \"aa\" \u6574\u4e2a\u5b57\u7b26\u4e32\u3002\n\n<\/pre>\n<p><strong>\u793a\u4f8b 2:<\/strong><\/p>\n<pre><strong>\u8f93\u5165:<\/strong>\n\ns = \"aa\"\n\np = \"a*\"\n\n<strong>\u8f93\u51fa:<\/strong> true\n\n<strong>\u89e3\u91ca:<\/strong>&nbsp;\u56e0\u4e3a '*' \u4ee3\u8868\u53ef\u4ee5\u5339\u914d\u96f6\u4e2a\u6216\u591a\u4e2a\u524d\u9762\u7684\u90a3\u4e00\u4e2a\u5143\u7d20, \u5728\u8fd9\u91cc\u524d\u9762\u7684\u5143\u7d20\u5c31\u662f 'a'\u3002\u56e0\u6b64\uff0c\u5b57\u7b26\u4e32 \"aa\" \u53ef\u88ab\u89c6\u4e3a 'a' \u91cd\u590d\u4e86\u4e00\u6b21\u3002\n\n<\/pre>\n<p><strong>\u793a\u4f8b&nbsp;3:<\/strong><\/p>\n<pre><strong>\u8f93\u5165:<\/strong>\n\ns = \"ab\"\n\np = \".*\"\n\n<strong>\u8f93\u51fa:<\/strong> true\n\n<strong>\u89e3\u91ca:<\/strong>&nbsp;\".*\" \u8868\u793a\u53ef\u5339\u914d\u96f6\u4e2a\u6216\u591a\u4e2a\uff08'*'\uff09\u4efb\u610f\u5b57\u7b26\uff08'.'\uff09\u3002\n\n<\/pre>\n<p><strong>\u793a\u4f8b 4:<\/strong><\/p>\n<pre><strong>\u8f93\u5165:<\/strong>\n\ns = \"aab\"\n\np = \"c*a*b\"\n\n<strong>\u8f93\u51fa:<\/strong> true\n\n<strong>\u89e3\u91ca:<\/strong>&nbsp;\u56e0\u4e3a '*' \u8868\u793a\u96f6\u4e2a\u6216\u591a\u4e2a\uff0c\u8fd9\u91cc 'c' \u4e3a 0 \u4e2a, 'a' \u88ab\u91cd\u590d\u4e00\u6b21\u3002\u56e0\u6b64\u53ef\u4ee5\u5339\u914d\u5b57\u7b26\u4e32 \"aab\"\u3002\n\n<\/pre>\n<p><strong>\u793a\u4f8b 5:<\/strong><\/p>\n<pre><strong>\u8f93\u5165:<\/strong>\n\ns = \"mississippi\"\n\np = \"mis*is*p*.\"\n\n<strong>\u8f93\u51fa:<\/strong> false<\/pre>\n<p>**\u96be\u5ea6**: Hard<\/p>\n<p>**\u6807\u7b7e**: \u5b57\u7b26\u4e32\u3001 \u52a8\u6001\u89c4\u5212\u3001 \u56de\u6eaf\u7b97\u6cd5\u3001<\/p>\n<div class=\"hcb_wrap\">\n<pre class=\"prism undefined-numbers lang-python\" data-lang=\"Python\"><code>\n# -*- coding: utf-8 -*-\n# @Author  : LG\n\n\"\"\"\n\u6267\u884c\u7528\u65f6\uff1a1164 ms, \u5728\u6240\u6709 Python3 \u63d0\u4ea4\u4e2d\u51fb\u8d25\u4e8629.38% \u7684\u7528\u6237\n\u5185\u5b58\u6d88\u8017\uff1a13.7 MB, \u5728\u6240\u6709 Python3 \u63d0\u4ea4\u4e2d\u51fb\u8d25\u4e8660.35% \u7684\u7528\u6237\n\n\u89e3\u9898\u601d\u8def\uff1a\n    \u5206\u6790\u60c5\u51b5\uff1a\n        1. p \u4e3a'', \u5219\uff0cTrue if s=='' else False\n        2. s \u4e3a\u7a7a False\n        3. \u9996\u5b57\u7b26\u662f\u5426\u5339\u914d\uff0c \u82e5p[0]==s[0] or p[0]=='.'\n            \u9996\u5b57\u7b26\u5339\u914d\u7684\u60c5\u51b5\u4e0b\uff1a\n                \u5982\u679cp\u957f\u5ea6\u5927\u4e8e1\uff1a\n                    \u82e5 p[1] == '*'\n                        \u8fd9\u91cc\u9700\u8981\u5224\u65ad\u4e24\u79cd\u60c5\u51b5\uff1a \u8fd9\u4fe9\u79cd\u60c5\u51b5\uff0c\u53ea\u8981\u6709\u4e00\u4e2a\u6ee1\u8db3\u5373\u53ef\u8fd4\u56detrue\n                            s = aaa, p = a*a    p \u8fd8\u4ece\u7b2c1\u4e2a\u5b57\u7b26\u5339\u914d\u3002s\u4ece\u7b2c2\u4e2a\u5b57\u7b26\u5339\u914d\n                            s = a, p=a*a        p \u8fd8\u4ece\u7b2c3\u4e2a\u5b57\u7b26\u5339\u914d\u3002s\u4ece\u7b2c1\u4e2a\u5b57\u7b26\u5339\u914d\n                    \u82e5 p[1] != '*', \u5219 p\u3001s\u5747\u4ece\u7b2c2\u4e2a\u5b57\u7b26\u5f00\u59cb\u5339\u914d\u3002\n                \u5982\u679c\u957f\u5ea6\u4e0d\u5927\u4e8e1\uff1a\n                    \u9996\u5b57\u6bcd\u662f\u5426\u5339\u914d\n\n            \u9996\u5b57\u7b26\u4e0d\u5339\u914d\u7684\u60c5\u51b5\u4e0b\uff1a\n                \u82e5 p[1] == '*', \u5219 p \u4ece\u7b2c3\u4e2a\u5b57\u7b26\u5339\u914d\u3002s\u4ece\u7b2c2\u4e2a\u5b57\u7b26\u5339\u914d\n\n\"\"\"\nclass Solution:\n    def isMatch(self, s: str, p: str) -&gt; bool:\n        if not p:\n            return not s\n        if s:\n            first_c = (p[0]==s[0]) or (p[0]=='.')\n\n            if first_c:\n                if len(p)&gt;1 and p[1] == '*':\n                    return self.isMatch(s[1:], p) or  self.isMatch(s, p[2:])\n                else:\n                    return self.isMatch(s[1:], p[1:])\n            else:\n                if len(p)&gt;1 and p[1] == '*':\n                    return self.isMatch(s, p[2:])\n                else:\n                    return False\n        else:\n            if len(p)&gt;1 and p[1] == '*':\n                return self.isMatch(s, p[2:])\n            return False\n\n\"\"\"\n\u6267\u884c\u7528\u65f6\uff1a68 ms, \u5728\u6240\u6709 Python3 \u63d0\u4ea4\u4e2d\u51fb\u8d25\u4e8664.13% \u7684\u7528\u6237\n\u5185\u5b58\u6d88\u8017\uff1a13.7 MB, \u5728\u6240\u6709 Python3 \u63d0\u4ea4\u4e2d\u51fb\u8d25\u4e8653.28%\n\n\u89e3\u9898\u601d\u60f3\uff1a\n    \u52a8\u6001\u89c4\u5212\n    \u5b57\u7b26\u4e32\u5339\u914d\uff0c s[\uff1ai] \u4e0e p[:j] \u662f\u5426\u5339\u914d\uff0c\u9700\u8981\u770b s[i]\u4e0ep[j]\u662f\u5426 \u5339\u914d\uff0c \u4ee5\u53ca s[:i-1]\u4e0ep[:j-1] \u7684\u5339\u914d\u60c5\u51b5\n    \n    \u82e5 p[j] == s[i] or p[j] == '.', \u5219 s[i] \u4e0ep[j] \u5339\u914d\uff0c\u770b s[:i-1]\u4e0ep[:j-1]\u7684\u5339\u914d\u60c5\u51b5\n    \u82e5 p[j] == '*':\n        p[j-1] == s[i] or p[j-1] == '.' \u65f6\uff0c*\u53f7\u524d\u9762\u5b57\u7b26\u5339\u914d\uff0c\u6b64\u65f6\u6709\u4e24\u79cd\u60c5\u51b5\uff1a\n            *\u53f7\u524d\u9762\u5b57\u7b26\u5339\u914d0\u6b21\uff0c\u6b64\u65f6 \u9700\u770b s[:i]\u4e0ep[:j-2]\u7684\u5339\u914d\u60c5\u51b5     c ca* \u5339\u914d\uff0c c va*  \u4e0d\u5339\u914d\n            *\u53f7\u524d\u9762\u5b57\u7b26\u5339\u914d\u591a\u6b21,\u6b64\u65f6 \u9700\u770b s[:i-1] \u4e0e p[:j]\u7684\u5339\u914d\u60c5\u51b5   aa a*\n        p[j-1] != s[i], \u4e5f\u5c31\u662f*\u53f7\u524d\u9762\u5b57\u7b26\u5339\u914d\u4e860\u6b21\uff0c\u6b64\u65f6 \u9700\u770b p[:j-2] \u4e0e s[:i] \u7684\u5339\u914d\u60c5\u51b5\n    \u5176\u4ed6\u60c5\u51b5\u5747\u4e0d\u5339\u914d\u3002\n\n    i\/j     0           1           2           3        4\n    0                   i-1,j-1     i-1,j\n    1       i,j-2                   i,j\n    2       \n    \n    \u7531\u4e8ep\u4e0d\u4f1a\u7531*\u5f00\u5934\uff0c\u4e3a\u4e86\u7edf\u4e00\u5904\u7406\u903b\u8f91\uff0c\u5728\u8868\u683c\u5de6\u4e0a\u4fa7\u591a\u6dfb\u52a0\u4e00\u5217\n    \n    \u5177\u4f53\u5b9e\u73b0\u89c1\u4ee3\u7801\u6ce8\u91ca\n\"\"\"\n\nclass Solution:\n    def isMatch(self, s: str, p: str) -&gt; bool:\n        if not p:           # p == '' and s == '' return True\n            return not s    # p == '' and s \uff01= '' return False\n\n        if len(p) &lt; 2 and not s:    # len(p) == 1 and s == '' return False\n            return False\n\n        len_s, len_p = len(s), len(p)\n\n        # \u52a8\u6001\u89c4\u5212\u77e9\u9635\n        dp = [[False for _ in range(len_p+1)] for _ in range(len_s+1)]\n\n        # 0,0 \u5bf9\u5e94 ''  '' \u6240\u4ee5\u4e3aTrue\n        dp[0][0] = True\n        for j in range(1, len_p):   # '' \u5bf9\u5e94\u7684 a*   a*b* \u7b49\u4e3aTrue\n            if p[j] == '*':\n                dp[0][j +1] = dp[0][j-2 +1]\n\n        # \u5f00\u59cb\u586b\u8868\uff0c\u8fd9\u91cc\u9700\u8981\u6ce8\u610f\u7684\u662f\uff0c\u56e0\u4e3a\u8868\u4e2d\u591a\u6dfb\u52a0\u4e86\u4e00\u884c\u4e00\u5217, \u8fd9\u91cci,j\u7d22\u5f15 \u8fd8\u662f\u4ece0\u5f00\u59cb\u7684\uff0c\u6240\u4ee5\u5728\u67e5\u8868\u4ee5\u53ca\u586b\u8868\u65f6\uff0c\u5747\u505a\u4e86+1 \u64cd\u4f5c\n        for i in range(len_s):\n            for j in range(len_p):\n                if s[i] == p[j] or p[j] == '.': # \u5b57\u7b26\u5339\u914d\u65f6\uff0c\u770b\u4e4b\u524d\u5b57\u7b26\u662f\u5426\u5339\u914d\u5373\u53ef\n                    dp[i +1][j +1] = dp[i-1 +1][j-1 +1] # \u67e5\u8868 \u4ee5\u53ca \u586b\u8868\uff0c\u8fd9\u4e48\u5199\u662f\u4e3a\u4e86\u597d\u7406\u89e3 dp[i-1 +1][j-1 +1] \u5bf9\u5e94\u5b57\u7b26\u4e32\u7d22\u5f15(i-1,j-1)\uff0c\u5bf9\u5e94\u8868\u4e2d\u4f4d\u7f6e\u4e3a(i-1+1,j-1+1)\n                if p[j] == '*': # \u5982\u5339\u914d\u9879\u4e3a*\uff0c\u5206\u4fe9\u79cd\u60c5\u51b5\n                    if p[j-1] == s[i] or p[j-1]=='.':   # \u524d\u4e00\u9879\u5b57\u7b26\u76f8\u914d\u65f6\uff0c\u5b58\u5728\u5339\u914d0\u6b21 \u6216\u591a\u6b21\u60c5\u51b5\n                        dp[i +1][j +1] = dp[i +1][j-2 +1] or dp[i-1 +1][j +1]   # dp[i-1 +1][j +1] \u5339\u914d\u591a\u6b21\u60c5\u51b5\uff1b dp[i +1][j-2 +1] \u5339\u914d0\u6b21\u60c5\u51b5\n                    else:\n                        dp[i +1][j +1] = dp[i +1][j-2 +1]   # \u524d\u4e00\u9879\u5b57\u7b26\u5339\u914d\uff0c\u9ed8\u8ba4*\u5339\u914d0\u6b21\n        return dp[len_s][len_p]\n\n\"\"\"\n\u5176\u5b9e\uff0c\u5339\u914d\u9879\u4e3a*\u65f6\uff0c\u4e0d\u9700\u8981\u5224\u65ad\u524d\u4e00\u9879\u662f\u5426\u5339\u914d\uff0c\u53ea\u9700\u786e\u8ba4\u5339\u914d0\u6b21\u53ca\u591a\u6b21\u5373\u53ef\u3002\n\"\"\"<\/code><\/pre>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>\u7ed9\u4f60\u4e00\u4e2a\u5b57\u7b26\u4e32&nbsp;s&nbsp;\u548c\u4e00\u4e2a\u5b57\u7b26\u89c4\u5f8b&nbsp;p\uff0c\u8bf7\u4f60\u6765\u5b9e\u73b0\u4e00\u4e2a\u652f\u6301 &#8216;.&#8217;&nbsp;\u548c&#8230;<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"","sticky":false,"template":"","format":"standard","meta":[],"categories":[11,1],"tags":[],"_links":{"self":[{"href":"http:\/\/www.yatenglg.cn\/blog\/index.php?rest_route=\/wp\/v2\/posts\/619"}],"collection":[{"href":"http:\/\/www.yatenglg.cn\/blog\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"http:\/\/www.yatenglg.cn\/blog\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"http:\/\/www.yatenglg.cn\/blog\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"http:\/\/www.yatenglg.cn\/blog\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=619"}],"version-history":[{"count":1,"href":"http:\/\/www.yatenglg.cn\/blog\/index.php?rest_route=\/wp\/v2\/posts\/619\/revisions"}],"predecessor-version":[{"id":620,"href":"http:\/\/www.yatenglg.cn\/blog\/index.php?rest_route=\/wp\/v2\/posts\/619\/revisions\/620"}],"wp:attachment":[{"href":"http:\/\/www.yatenglg.cn\/blog\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=619"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"http:\/\/www.yatenglg.cn\/blog\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=619"},{"taxonomy":"post_tag","embeddable":true,"href":"http:\/\/www.yatenglg.cn\/blog\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=619"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}