{"id":329,"date":"2020-05-02T11:22:03","date_gmt":"2020-05-02T11:22:03","guid":{"rendered":"http:\/\/www.luo666.com\/?p=329"},"modified":"2023-08-27T09:02:30","modified_gmt":"2023-08-27T09:02:30","slug":"%e5%b0%9d%e8%af%95%e8%ae%b2%e6%b8%85%e6%a5%9a%e7%bc%96%e8%be%91%e8%b7%9d%e7%a6%bb%e6%b1%82%e8%a7%a3","status":"publish","type":"post","link":"http:\/\/www.luo666.com\/?p=329","title":{"rendered":"\u5c1d\u8bd5\u8bb2\u6e05\u695a\u7f16\u8f91\u8ddd\u79bb\u6c42\u89e3"},"content":{"rendered":"<p>\u8fd9\u7bc7\u6587\u7ae0\u662f\u5c1d\u8bd5\u7ed9\u50cf\u4f5c\u8005\u4e00\u6837\u7684\u7b97\u6cd5\u7231\u597d\u8005\uff08\u4e1a\u4f59\u7684\u59d4\u5a49\u8bf4\u6cd5\uff09\u89e3\u91ca\u4e00\u4e0b\u7f16\u8f91\u8ddd\u79bb\u6c42\u89e3\u65b9\u6cd5\u7684\u601d\u8003\u8fc7\u7a0b\uff0c\u5176\u5b9e\u4e5f\u662f\u4e3a\u4e86\u5f3a\u8feb\u81ea\u5df1\u771f\u6b63\u7684\u5403\u900f\u7f16\u8f91\u8ddd\u79bb\u6c42\u89e3\u7684\u65b9\u6cd5\u8bba\uff0c\u4ee5\u671f\u80fd\u8fbe\u5230\u4e3e\u4e00\u53cd\u4e09\u7684\u6548\u679c\u3002\u6839\u636e\u4ee5\u4e0a\u53d7\u4f17\u5b9a\u4f4d\uff0c\u6211\u9996\u5148\u8fd8\u662f\u5f15\u5165\u4e00\u6bb5\u5bf9\u7f16\u8f91\u8ddd\u79bb\u7684\u89e3\u91ca\uff0c\u7136\u540e\u518d\u4ece\u9012\u5f52\u5230\u9012\u63a8\uff08\u52a8\u6001\u89c4\u5212\uff09\u8bb2\u8bb2\u5bf9\u8fd9\u4e2a\u95ee\u9898\u6c42\u89e3\u672c\u8eab\u7684\u6b63\u5411\u601d\u8003\u8fc7\u7a0b\uff0c\u800c\u4e0d\u662f\u62ff\u5230\u4e00\u4e2a\u89e3\u6cd5\u6765\u8bf4\u660e\u5b83\u7684\u6b63\u786e\u6027\u3002<\/p>\n<p>\u7f16\u8f91\u8ddd\u79bb\u7684\u5b9a\u4e49\u662f\u7528\u589e\u5220\u6539\u4e09\u79cd\u64cd\u4f5c\u5c06\u4e00\u4e2a\u5b57\u7b26\u4e32\u6f14\u53d8\u4e3a\u4e00\u4e2a\u76ee\u6807\u5b57\u7b26\u4e32\u6240\u9700\u7684\u64cd\u4f5c\u6b21\u6570\u3002\u6bd4\u5982\u5c06horse\u8f6c\u5316\u4e3aros\uff0c\u53ef\u4ee5\u662f\u5982\u4e0b\u6b65\u9aa4\uff1a<br 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class=\"EnlighterJSRAW\" data-enlighter-language=\"python\" data-enlighter-theme=\"minimal\" data-enlighter-linenumbers=\"false\">def lev(a, b):\n    if len(a) == 0 or len(b) == 0:\n        return max(len(a),len(b))\n    if a[0] == b[0]:\n        return lev(a[1:],b[1:]) #\u9996\u5b57\u7b26\u76f8\u7b49\u5219\u8df3\u8fc7\n    ADD = lev(a,b[1:]) # add b[0]\u5230a\u7684\u5f00\u59cb, \u95ee\u9898\u8f6c\u5316\u4e3a\u6c42a,b[1:]\u7684\u7f16\u8f91\u8ddd\u79bb\uff0c\u56e0\u4e3a\u5934\u90e8\u76f8\u540c\u7684\u5b57\u7b26\u4e0d\u589e\u52a0\u7f16\u8f91\u8ddd\u79bb\n    DEL = lev(a[1:],b) # del a[0]\n    REP = lev(a[1:],b[1:]) # set a[0] = b[0], \u95ee\u9898\u8f6c\u4e3a\u6c42a[1:],b[1:]\uff0c\u539f\u56e0\u540c\u8ba1\u7b97a\u7684\u89e3\u91ca\n    return 1 + min(ADD,DEL,REP)<\/pre>\n<p>&nbsp;<\/p>\n<p><!--more--><\/p>\n<p>\u5982\u679c\u5f53\u524d\u6e90\u5b57\u7b26\u4e32a\u548c\u76ee\u6807\u5b57\u7b26\u4e32b\u7684\u9996\u5b57\u7b26\u76f8\u540c\u5219\u76f4\u63a5\u53bb\u5934\u90e8\u5f97\u5230a&#8217;\/b&#8217;\u518d\u9012\u5f52\uff0c\u5982\u679ca\u6216b\u6709\u4e00\u4e2a\u662f\u7a7a\u5b57\u7b26\u4e32\u4e86\uff0c\u90a3\u4e48\u5c31\u505c\u6b62\u8fed\u4ee3\uff0c\u5e76\u628a\u5269\u4e0b\u7684\u90a3\u4e9b\u5b57\u7b26\u4e2a\u6570\u76f4\u63a5\u7b97\u5230\u7f16\u8f91\u8ddd\u79bb\uff08a\u4e3a\u7a7a\uff0c\u8981\u8ba9a==b\uff0c\u9700\u8981\u628ab\u7684\u6240\u6709\u5b57\u7b26\u90fd\u201c\u589e\u52a0\u201d\u5230a\uff0c\u5982\u679cb\u4e3a\u7a7a\uff0c\u90a3\u4e48\u8981\u201c\u5220\u9664\u201d\u6389a\u7684\u6240\u6709\u5b57\u7b26\uff09\u3002<\/p>\n<p>\u5e38\u89c4\u60c5\u51b5\u5206\u4e09\u6761\u8def\u8d70\uff0c\u6bcf\u6761\u8def\u5f84\u5c31\u662f\u7f16\u8f91\u8ddd\u79bb\u5b9a\u4e49\u7684\u4e00\u79cd\u64cd\u4f5c\u65b9\u6cd5\u3002\u6bcf\u4e00\u79cd\u64cd\u4f5c\u90fd\u4f1a\u8ba9\u8f93\u5165\u5b57\u7b26\u4e32\u53d1\u751f\u53d8\u5316\u4ece\u800c\u628a\u95ee\u9898\u8f6c\u5316\u4e3a\u4e00\u4e2a\u66f4\u5c0f\u7684\u5b50\u96c6\uff1a<\/p>\n<ul>\n<li>\u589e\u52a0\uff1a\u76ee\u6807\u5b57\u7b26\u4e32\u51cf\u5c11\u4e00\u4e2a\u5b57\u7b26\uff1b\u65e0\u8bba\u662f\u52a0\u5230\u5934\u90e8\u8fd8\u662f\u52a0\u5230\u5c3e\u90e8\uff0c\u52a0\u7684\u90fd\u662f\u76ee\u6807\u5b57\u7b26\u4e32\u4e2d\u7684\u5b57\u7b26\uff0c\u76f8\u540c\u7684\u90e8\u5206\u5c31\u4e0d\u9700\u8981\u53c2\u4e0e\u5230\u540e\u9762\u7684\u8fed\u4ee3\u4e86\uff0c\u6bd5\u7adf\u6211\u4eec\u8981\u7b97\u7684\u662f\u6700\u5c0f\u64cd\u4f5c\u6570<\/li>\n<li>\u5220\u9664\uff1a\u6e90\u5b57\u7b26\u4e32\u51cf\u5c11\u4e00\u4e2a\u5b57\u7b26\uff1b\u8fd9\u4e2a\u4e0d\u9700\u8981\u89e3\u91ca<\/li>\n<li>\u66ff\u6362\uff1a\u4e24\u4e2a\u5b57\u7b26\u4e32\u90fd\u51cf\u5c11\u4e00\u4e2a\u5b57\u7b26\uff1b\u540c\u589e\u52a0\u7684\u9053\u7406\u4e00\u6837\uff0c\u6b64\u65f6\u6e90\u5b57\u7b26\u4e32\u4e0d\u4ec5\u4e0d\u589e\u52a0\u800c\u4e14\u8fd8\u53ef\u4ee5\u51cf\u5c11\u4e00\u4e2a<\/li>\n<\/ul>\n<p>\u8fd4\u56de\u503c\u5c31\u662f\u7f16\u8f91\u8ddd\u79bb\uff0c\u6211\u4eec\u9700\u8981\u5728\u4e09\u6761\u8def\u4e2d\u9009\u62e9\u6700\u77ed\u7684\u8ddd\u79bb\uff0c\u8fd8\u8981\u52a0\u4e0a1\uff0c\u4e0d\u80fd\u5fd8\u4e86\u5f53\u524d\u8fd9\u6b21\u64cd\u4f5c\u5df2\u7ecf\u53d1\u751f\u3002<\/p>\n<p>\u9012\u5f52\u65b9\u4fbf\u601d\u8003\uff0c\u4f46\u662f\u6709\u5927\u91cf\u91cd\u590d\u8ba1\u7b97\uff0c\u56e0\u4e3a\u8fd9\u79cd\u76f2\u76ee\u7684\u904d\u5386\u5e38\u5e38\u6b8a\u9014\u540c\u5f52\u5230\u76f8\u540c\u7684\u8def\u5f84\uff0c\u5e76\u7ee7\u7eed\u91cd\u590d\u8d70\u4e00\u904d\u3002\u4ece\u4e00\u822c\u65b9\u6cd5\u8bba\u4e0a\u8bb2\uff0c\u6211\u4eec\u8981\u5728\u8d70\u8fd9\u4e09\u6761\u8def\u5f84\u7684\u6bcf\u4e00\u6b21\u8fed\u4ee3\u4e0a\u90fd\u4e92\u76f8\u4fdd\u6301\u4fe1\u606f\u6c9f\u901a\uff0c\u4e0d\u65ad\u7684\u501f\u9274\u5f7c\u6b64\u7684\u5df2\u6709\u7ecf\u9a8c\u3002\u8fd9\u5c31\u662f\u4e3a\u4ec0\u4e48\u5927\u822a\u6d77\u4ee5\u53ca\u5168\u7403\u5316\u4ee5\u6765\uff0c\u4eba\u7c7b\u79d1\u6280\u6c34\u5e73\u4ee5\u6307\u6570\u7ea7\u901f\u5ea6\u63d0\u5347\uff0c\u56e0\u4e3a\u6211\u4eec\u4e92\u901a\u6709\u65e0\uff0c\u5927\u91cf\u51cf\u5c11\u4e86\u91cd\u590d\u9020\u8f6e\u5b50\u5bf9\u4eba\u529b\u7269\u529b\u7684\u5f00\u9500\u3002\u626f\u7684\u6709\u70b9\u8fdc\uff0c\u6240\u8c13\u501f\u9274\u5df2\u6709\u7ecf\u9a8c\uff0c\u5728\u903b\u8f91\u4e0a\u53ef\u4ee5\u53eb\u505a\u201c\u9012\u63a8\u201d\uff0c\u90a3\u4e48\u5982\u4f55\u628a\u4e0a\u8ff0\u9012\u5f52\u8f6c\u5316\u4e3a\u9012\u63a8\u5462\uff1f<\/p>\n<p>\u9012\u5f52\u662f\u904d\u5386\u95ee\u9898\u7684\u53ef\u80fd\u5904\u7406\u65b9\u6cd5\uff0c\u628a\u539f\u59cb\u95ee\u9898\u5c42\u5c42\u5206\u5305\uff0c\u76f4\u5230\u4e0d\u53ef\u5206\u5272\u7684\u6700\u5c0f\u539f\u5b50\u95ee\u9898\uff0c\u7136\u540e\u518d\u987a\u7740\u8c03\u7528\u6808\u5c42\u5c42\u56de\u6eaf\uff0c\u5bf9\u6bd4\u6240\u6709\u5206\u652f\u7684\u7ed3\u679c\u6765\u627e\u5230\u95ee\u9898\u7684\u89e3\u3002<\/p>\n<p>\u9012\u63a8\u4ecd\u7136\u662f\u641c\u7d22\uff0c\u4e0d\u8fc7\u5b83\u662f\u66f4\u9ad8\u6548\u7684\u641c\u7d22\uff0c\u662f\u52a8\u6001\u6709\u5e8f\u7684\uff0c\u6bcf\u4e00\u8f6e\u7684\u9012\u63a8\u90fd\u662f\u5728\u524d\u63d0\u6761\u4ef6\u5b8c\u5907\u7684\u60c5\u51b5\u4e0b\u505a\u51fa\u7684\u6709\u6548\u63a2\u7d22\uff0c\u662f\u6709\u89c4\u5212\u7684\u3002\u6bcf\u6b21\u4e0d\u4e00\u5b9a\u662f\u6700\u7ec8\u8def\u5f84\u4e0a\u7684\u63a2\u7d22\uff0c\u4f46\u7edd\u5bf9\u4e0d\u662f\u91cd\u590d\u7684\u65e0\u6548\u63a2\u7d22\u3002\u5b50\u95ee\u9898\u7684\u89c4\u6a21\u662f\u9010\u6e10\u6269\u5927\u7684\uff0c\u6700\u7ec8\u628a\u95ee\u9898\u6269\u5c55\u5230\u539f\u59cb\u8f93\u5165\uff0c\u800c\u6bcf\u4e00\u6b21\u63a2\u7d22\u5f97\u5230\u7684\u90fd\u662f\u5f53\u524d\u5b50\u95ee\u9898\u7684\u89e3\u3002\u5b9e\u9645\u4e0a\u5c31\u662f\u628a\u9012\u5f52\u7684\u8fc7\u7a0b\u5012\u8fc7\u6765\uff0c\u628a\u6700\u539f\u5b50\u7684\u516c\u5171\u64cd\u4f5c\u62bd\u8c61\u51fa\u6765\u7edf\u4e00\u8ba1\u7b97\u4e00\u6b21\uff08\u8fd9\u4e9b\u539f\u5b50\u95ee\u9898\u7684\u6c42\u89e3\u5f80\u5f80\u662f\u975e\u5e38\u7b80\u5355\u6613\u61c2\u7684\uff09\uff0c\u7136\u540e\u4ece\u6700\u539f\u5b50\u95ee\u9898\u7ed3\u679c\u51fa\u53d1\uff0c\u4e00\u6b65\u6b65\u7684\u63a8\u5bfc\u51fa\u6700\u540e\u7ed3\u679c\uff0c\u8fc7\u7a0b\u4e2d\u6bcf\u6b21\u5b50\u95ee\u9898\u7684\u6269\u5927\u90fd\u76f4\u63a5\u501f\u9274\u4e0a\u4e00\u5c42\u7684\u7ed3\u679c\u3002\u6bcf\u4e00\u5c42\u90fd\u662f\u6e10\u8fdb\u6709\u5e8f\u7684\u6269\u5927\u95ee\u9898\uff0c\u4e0d\u4f1a\u91cd\u590d\u8ba1\u7b97\u3002<\/p>\n<p>\u9488\u5bf9\u7f16\u8f91\u8ddd\u79bb\u7684\u95ee\u9898\uff0c\u9012\u63a8\u7684\u7ec8\u70b9\u5c31\u662f\u95ee\u9898\u6269\u5927\u4e3aa\u3001b\u7684\u7f16\u8f91\u8ddd\u79bb\uff0c\u800c\u6700\u540e\u4e00\u6b21\u63a2\u7d22\u5f53\u7136\u8fd8\u662f\u4ece\u4e09\u79cd\u64cd\u4f5c\u4e2d\u6765\u9009\u62e9\uff08\u672b\u5c3e\u5b57\u7b26\u76f8\u540c\u76f4\u63a5\u53ef\u4ee5\u4e0d\u8003\u8651\uff0c\u76f4\u63a5\u53bb\u6389\u4e5f\u4e0d\u5f71\u54cd\u95ee\u9898\u7684\u6700\u7ec8\u7ed3\u679c\uff09\uff1a<\/p>\n<ul>\n<li>\u589e\u52a0\uff1aa.append(b[-1])<\/li>\n<li>\u5220\u9664\uff1aa.pop()<\/li>\n<li>\u66ff\u6362\uff1aa[-1] = b[-1]<\/li>\n<\/ul>\n<p>\u6839\u636e\u524d\u9762\u7684\u9012\u5f52\u7b97\u6cd5\uff0c\u56de\u6eaf\u5230\u6700\u9876\u5c42\u8c03\u7528\u65f6\uff0c\u4e5f\u5c31\u662f\u6211\u4eec\u7684\u6700\u540e\u4e00\u6b65\u63a8\u7406\u7684\u524d\u63d0\u6761\u4ef6\u662f\u5df2\u77e5\u5982\u4e0b\u4e09\u4e2a\u5b50\u95ee\u9898\u7ed3\u679c\uff1a<\/p>\n<p>lev(a, b[0:-1]); lev(a[0:-1],b);lev(a[0:-1],b[0:-1])<\/p>\n<p>\u63a8\u7406\u8fc7\u7a0b\u662f\uff1a<\/p>\n<ul>\n<li>if a[-1]==b[-1]: lev(a,b)\u00a0 = lev(a[0:-1],b[0:-1])<\/li>\n<li>else: lev(a,b) = min(lev(a, b[0:-1])+1, lev(a[0:-1],b)+1, lev(a[0:-1],b[0:-1])+1)<\/li>\n<\/ul>\n<p>\u5728\u5f53\u524d\u4e24\u4e2a\u5b50\u4e32\u90fd\u975e\u7a7a\u65f6\uff0c\u63a8\u7406\u8fc7\u7a0b\u662f\u5b8c\u5907\u7684\uff0c\u6ca1\u6709\u6f0f\u6389\u4efb\u4f55\u64cd\u4f5c\u53ef\u80fd\u3002\u5177\u4f53\u7684\u8fc7\u7a0b\u53ef\u4ee5\u662f\u5148\u56fa\u5b9aa\uff0c\u6bcf\u6b21\u5c06b\u6269\u5c55\u4e00\u4e2a\u5b57\u7b26\uff0cb\u6269\u5c55\u5230\u539f\u59cb\u95ee\u9898\u5b57\u7b26\u4e32\u65f6\uff0ca\u6269\u5c55\u4e00\u4e2a\u5b57\u7b26\uff0c\u6bcf\u6b21\u6269\u5c55\u90fd\u8003\u8651\u4e86\u4e09\u79cd\u5b9a\u4e49\u7684\u64cd\u4f5c\u3002\u867d\u7136\u6269\u5c55\u672c\u8eab\u770b\u8d77\u6765\u662f\u589e\u52a0\u64cd\u4f5c\uff0c\u4f46\u662f\u8fd9\u91cc\u662f\u5b50\u95ee\u9898\u7684\u6269\u5c55\uff0c\u5e76\u4e0d\u662f\u7f16\u8f91\u5b57\u7b26\u4e32\uff0c\u800c\u65e0\u8bba\u662fa\u8fd8\u662fb\u6269\u5c55\u4e86\u4e00\u4e2a\u5b57\u7b26\u540e\uff0c\u90fd\u4f1a\u5e26\u6765\u6574\u4e2a\u95ee\u9898\u7684\u53d8\u5316\uff0c\u4e0d\u80fd\u53ea\u9488\u5bf9\u6269\u5c55\u51fa\u7684\u8fd9\u4e2a\u5b57\u7b26\u8003\u8651\u95ee\u9898\uff0c\u8981\u4ece\u8fd9\u4e2a\u65b0\u95ee\u9898\u6c42\u89e3\u7684\u89d2\u5ea6\u6765\u91cd\u65b0\u5ba1\u89c6\uff0c\u800c\u5b9a\u4e49\u7684\u4e09\u79cd\u64cd\u4f5c\u90fd\u662f\u9488\u5bf9\u4e00\u4e2a\u5b57\u7b26\u7684\uff0c\u6240\u4ee5\u4e5f\u53ea\u9700\u8981\u501f\u9274\u4e0a\u8ff0\u4e09\u79cd\u5b50\u4e32\u7ec4\u5408\uff08lev(a, b[0:-1]); lev(a[0:-1],b);lev(a[0:-1],b[0:-1])\uff09\u3002\u540c\u65f6\uff0c\u6bcf\u4e00\u6b65\u7684\u95ee\u9898\u6269\u5927\u5e76\u4e0d\u4f1a\u5f71\u54cd\u63a8\u7406\u7684\u6b63\u786e\u6027\uff0c\u8fd9\u4e2a\u95ee\u9898\u6ca1\u6709\u540e\u6548\u6027\uff0c\u6bcf\u6b21\u6269\u5927a\u6216b\u90fd\u53ea\u53d6\u51b3\u4e8e\u524d\u4e00\u6b21\u7684\u72b6\u6001\uff0c\u800c\u4e0e\u8fbe\u5230\u4e4b\u524d\u72b6\u6001\u6240\u8d70\u7684\u8def\u5f84\u65e0\u5173\u3002\u5f53\u5b50\u4e32a[0:i]\u3001b[0:j]\u6709\u4e00\u4e2a\u4e3a\u7a7a\u65f6\uff0c\u53e6\u4e00\u4e2a\u5b50\u4e32\u7684\u5b57\u7b26\u6570\u5c31\u662f\u5f53\u524d\u4e24\u4e2a\u5b50\u4e32\u7684\u7f16\u8f91\u8ddd\u79bb\uff0c\u56e0\u4e3a\u4e0d\u662f\u5168\u90e8\u5220\u9664\u5c31\u662f\u5168\u90e8\u589e\u52a0\uff0c\u8fd9\u5c31\u662f\u6700\u521d\u7684\u539f\u5b50\u95ee\u9898\u4e86\u3002<\/p>\n<p>\u6839\u636e\u8fd9\u4e2a\u516c\u5f0f\uff0c\u53ea\u8981\u6211\u4eec\u627e\u5230\u6700\u5c0f\u5b50\u95ee\u9898\uff0c\u4ece\u4ed6\u4eec\u5f00\u59cb\uff0c\u4e00\u6b65\u4e00\u6b65\u4e3a\u540e\u9762\u66f4\u5927\u7684\u95ee\u9898\u63d0\u4f9b\u524d\u63d0\u6761\u4ef6\uff0c\u5c31\u80fd\u6c42\u5f97\u95ee\u9898\u7684\u89e3\uff0c\u800c\u4e14\u4e0d\u4f1a\u91cd\u590d\u8ba1\u7b97\u3002\u8fd9\u91cc\u7684\u6700\u5c0f\u5b50\u95ee\u9898\u5c31\u662f\u628a\u7a7a\u8f6c\u5316\u4e3a\u4e00\u4e2a\u5b57\u7b26\uff08\u7a7a =&gt; x\uff09\uff0c\u4e00\u4e2a\u5b57\u7b26\u8f6c\u6362\u4e3a\u7a7a\uff08x =&gt; \u7a7a\uff09\uff0c\u4e00\u4e2a\u5b57\u7b26\u8f6c\u5316\u4e3a\u53e6\u4e00\u4e2a\u5b57\u7b26\uff08x =&gt; y\uff09\u7b49\u3002\u6bd4\u5982\u5148\u628a\u7a7a\u4e32\u7f16\u8f91\u4e3a\u7a7a\uff0cx\uff0cxy\uff0c\u518d\u5230xyz\uff1b\u7f16\u8f91\u8ddd\u79bb\u5206\u522b\u4e3a0,1,2,3\uff0c\u56e0\u4e3a\u7a7a\u4e32\u5df2\u7ecf\u4e0d\u80fd\u5212\u5206\u5b50\u4e32\uff0c\u8fd9\u5c31\u5df2\u7ecf\u662f\u6700\u5c0f\u5b50\u95ee\u9898\u4e86\uff0c\u800c\u8fd9\u4e2a\u95ee\u9898\u7684\u6c42\u89e3\u5219\u975e\u5e38\u7b80\u5355\uff0c\u4e0d\u9700\u8981\u590d\u6742\u7684\u63a2\u7d22\uff0c\u56e0\u4e3a\u4ece\u7a7a\u5230\u6240\u6709\u5b57\u7b26\u4e32\uff0c\u4e00\u4e2a\u4e2a\u7684\u589e\u52a0\u5c31\u662f\u6700\u7b80\u5355\u7684\u7f16\u8f91\u65b9\u5f0f\u3002\u800c\u8fd9\u4e9b\u5b50\u95ee\u9898\u7684\u7ed3\u679c\u5c31\u4e3a\u4e0b\u4e00\u6b65\u628ax\u7f16\u8f91\u4e3a\u7a7a\uff0cx\uff0cxy\uff0cxyz\u63d0\u4f9b\u4e86\u9012\u63a8\u6761\u4ef6\u3002<\/p>\n<p>\u603b\u7ed3\u4e3a\u9012\u63a8\u516c\u5f0f\u5c31\u662f\uff1a<br \/>\n<img decoding=\"async\" src=\"https:\/\/i0.wp.com\/upload-images.jianshu.io\/upload_images\/244848-e66264ce2243ddfb.png?w=840&#038;ssl=1\" alt=\"\u7f16\u8f91\u8ddd\u79bb\u9012\u63a8\u516c\u5f0f\" data-recalc-dims=\"1\" \/><\/p>\n<p>\u8fd9\u91cc\u501f\u52a9\u4e00\u5f20\u4e8c\u7ef4\u8868\u683c\u6765\u63a8\u6f14\u51fa\u6700\u540e\u7ed3\u679c\uff08\u6709\u65f6\u9700\u8981\u4e09\u7ef4\u751a\u81f3\u4ee5\u4e0a\u7684\u6570\u7ec4\u5b58\u50a8\u4e2d\u95f4\u72b6\u6001\uff09<\/p>\n<p><img decoding=\"async\" src=\"https:\/\/i0.wp.com\/upload-images.jianshu.io\/upload_images\/244848-dccc1e4fa00d5b1a.png?w=840&#038;ssl=1\" data-recalc-dims=\"1\" \/><img decoding=\"async\" src=\"https:\/\/i0.wp.com\/upload-images.jianshu.io\/upload_images\/244848-66cb771b8a61d8d0.png?w=840&#038;ssl=1\" alt=\"\u7f16\u8f91\u8ddd\u79bb\u63a8\u6f14\u8868\" data-recalc-dims=\"1\" \/><\/p>\n<p>\u8868\u683c\uff08\u6309\u4e8c\u7ef4\u6570\u7ec4\u5b58\u50a8\uff0c\u8bb0\u4f5cdp\uff09\u7684\u6bcf\u4e00\u683c\u586b\u7684\u6570\u636edp[i][j]\u662f\u5bf9\u5e94\u5750\u6807\u8868\u793a\u7684\u4e24\u4e2a\u5b50\u4e32a[0:j]\u548cb[0:i]\u7684\u7f16\u8f91\u8ddd\u79bb\uff0c\u8ba1\u7b97\u65b9\u6cd5\u5f88\u7b80\u5355\uff1a<br \/>\n1\uff09\u770b\u4e0b\u7eb5\u5750\u6807i\u548c\u6a2a\u5750\u6807j\u5bf9\u5e94\u7684\u4e24\u4e2a\u5b57\u7b26a[j-1]\u548cb[i-1]\u662f\u5426\u76f8\u540c\uff0c\u5982\u679c\u76f8\u540c\u8f6c\u5230\u7b2c3\u6b65<br \/>\n2\uff09\u8ba1\u7b97ADD = dp[i][j-1]+1; DEL = dp[i-1][j]+1; REP = dp[i-1][j-1]+1\uff0c\u8f6c\u5230\u7b2c4\u6b65<br \/>\n3\uff09\u8ba1\u7b97ADD = dp[i][j-1]+1; DEL = dp[i-1][j]+1; REP = dp[i-1][j-1]<br \/>\n4\uff09dp[i][j] = min(ADD,DEL,REP) \uff0c\u5982\u679c\u8868\u683c\u672a\u586b\u6ee1\uff0c\u8fd4\u56de1\uff09\u5426\u5219\u6700\u540e\u4e00\u4e2a\u586b\u5165\u7684\u503c\u5c31\u662fa\u548cb\u7684\u7f16\u8f91\u8ddd\u79bb<\/p>\n<p>\u8fd9\u4e2a\u8ba1\u7b97\u6cd5\u662f\u5b8c\u5168\u9075\u5faa\u4e0a\u8ff0\u9012\u63a8\u516c\u5f0f\u7684\uff0c\u53ea\u662f\u4e3a\u4e86\u4fbf\u4e8e\u7406\u89e3\u548c\u63a8\u7b97\uff0c\u7528\u4e86\u8868\u683c\u5f62\u5f0f\u8bb0\u5f55\u7ed3\u679c\uff1b\u636e\u6b64\u5b9e\u73b0\u4ee3\u7801\u4e5f\u975e\u5e38\u7b80\u5355\uff1a<\/p>\n<pre class=\"EnlighterJSRAW\" data-enlighter-language=\"python\" data-enlighter-theme=\"rowhammer\" data-enlighter-linenumbers=\"false\">def minDistance(self, word1, word2):\n    l1 = len(word1)\n    l2 = len(word2)\n\n    if l1 == 0 or l2 == 0:\n        return max(l1, l2)\n\n    stat = [ [0] * (l1+1) for i in xrange(l2+1) ]\n\n    # \u76f4\u63a5\u7ed9\u51fa\u6240\u6709\u539f\u5b50\u95ee\u9898\u7684\u89e3\n    for i in xrange(l1+1):\n        stat[0][i] = i\n    for i in xrange(l2+1):\n        stat[i][0] = i\n\n    for i in range(1,l2+1):\n        for j in range(1,l1+1):\n            a = 0\n            if word1[j-1] == word2[i-1]:\n                a = stat[i-1][j-1]\n            else:\n                a = stat[i-1][j-1] + 1\n            # \u6bcf\u6b21\u6269\u5c55\u51fa\u7684\u65b0\u95ee\u9898\u90fd\u8981\u628a\u4e09\u79cd\u53ef\u80fd\u5230\u8fbe\u7684\u64cd\u4f5c\u8003\u8651\u4e00\u904d\n            stat[i][j] = min(a,stat[i-1][j] + 1,stat[i][j-1] + 1)\n\n    return stat[l2][l1]\n<\/pre>\n<p>&nbsp;<\/p>\n<p>\u5f53\u7136\uff0c\u4e0a\u8ff0\u7b97\u6cd5\u8fd8\u662f\u6709\u4f18\u5316\u7a7a\u95f4\u7684\uff0c\u6bd4\u5982\u4e0d\u9700\u8981\u4e00\u4e2a\u5b8c\u6574\u7684\u8868\u683c\uff0c\u53ea\u9700\u8981\u5f53\u524d\u8ba1\u7b97\u7684\u90a3\u4e00\u884c\u53ca\u5176\u4e0a\u4e00\u884c\u5c31\u53ef\u4ee5\u4e86\uff0c\u8fd9\u6837\u53ef\u4ee5\u4f18\u5316\u7a7a\u95f4\u590d\u6742\u5ea6\uff1b\u8fd8\u53ef\u4ee5\u505a\u4e00\u4e9b\u9884\u5904\u7406\uff0c\u628a\u4e24\u4e2a\u5b57\u7b26\u4e32\u76f8\u540c\u7684\u5927\u6bb5\u90e8\u5206\u8df3\u8fc7\uff0c\u53ea\u9488\u5bf9\u5269\u4e0b\u7684\u4e0d\u540c\u90e8\u5206\u6765\u6c42\u89e3\uff0c\u8fd9\u6837\u5bf9\u65f6\u95f4\u590d\u6742\u5ea6\u4e5f\u6709\u4f18\u5316\u6548\u679c\u3002<\/p>\n<p>\u53c2\u8003\u6587\u732e\uff1ahttps:\/\/en.wikipedia.org\/wiki\/Levenshtein_distance<\/p>\n<p><audio style=\"display: none;\" controls=\"controls\"><\/audio><\/p>\n<p><audio style=\"display: none;\" controls=\"controls\"><\/audio><\/p>\n<p><audio style=\"display: none;\" controls=\"controls\"><\/audio><\/p>\n<p><audio style=\"display: none;\" controls=\"controls\"><\/audio><\/p>\n<p><audio style=\"display: none;\" controls=\"controls\"><\/audio><\/p>\n<p><audio style=\"display: none;\" controls=\"controls\"><\/audio><\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u8fd9\u7bc7\u6587\u7ae0\u662f\u5c1d\u8bd5\u7ed9\u50cf\u4f5c\u8005\u4e00\u6837\u7684\u7b97\u6cd5\u7231\u597d\u8005\uff08\u4e1a\u4f59\u7684\u59d4\u5a49\u8bf4\u6cd5\uff09\u89e3\u91ca\u4e00\u4e0b\u7f16\u8f91\u8ddd\u79bb\u6c42\u89e3\u65b9\u6cd5\u7684\u601d\u8003\u8fc7\u7a0b\uff0c\u5176\u5b9e\u4e5f\u662f\u4e3a\u4e86\u5f3a\u8feb\u81ea\u5df1\u771f\u6b63\u7684\u5403\u900f\u7f16\u8f91\u8ddd\u79bb\u6c42\u89e3\u7684\u65b9\u6cd5\u8bba\uff0c\u4ee5\u671f\u80fd\u8fbe\u5230\u4e3e\u4e00\u53cd\u4e09\u7684\u6548\u679c\u3002\u6839\u636e\u4ee5\u4e0a\u53d7\u4f17\u5b9a\u4f4d\uff0c\u6211\u9996\u5148\u8fd8\u662f\u5f15\u5165\u4e00\u6bb5\u5bf9\u7f16\u8f91\u8ddd\u79bb\u7684\u89e3\u91ca\uff0c\u7136\u540e\u518d\u4ece\u9012\u5f52\u5230\u9012\u63a8\uff08\u52a8\u6001\u89c4\u5212\uff09\u8bb2\u8bb2\u5bf9\u8fd9\u4e2a\u95ee\u9898\u6c42\u89e3\u672c\u8eab\u7684\u6b63\u5411\u601d\u8003\u8fc7\u7a0b\uff0c\u800c\u4e0d\u662f\u62ff\u5230\u4e00\u4e2a\u89e3\u6cd5\u6765\u8bf4\u660e\u5b83\u7684\u6b63\u786e\u6027\u3002 \u7f16\u8f91\u8ddd\u79bb\u7684\u5b9a\u4e49\u662f\u7528\u589e\u5220\u6539\u4e09\u79cd\u64cd\u4f5c\u5c06\u4e00\u4e2a\u5b57\u7b26\u4e32\u6f14\u53d8\u4e3a\u4e00\u4e2a\u76ee\u6807\u5b57\u7b26\u4e32\u6240\u9700\u7684\u64cd\u4f5c\u6b21\u6570\u3002\u6bd4\u5982\u5c06horse\u8f6c\u5316\u4e3aros\uff0c\u53ef\u4ee5\u662f\u5982\u4e0b\u6b65\u9aa4\uff1a 1\uff09\u5220\u9664h\u53d8\u6210orse\uff1b 2\uff09\u5220\u9664o\u53d8\u6210rse\uff1b 3\uff09\u589e\u52a0o\u53d8\u6210rose\uff1b 4\uff09\u5220\u9664e\u53d8\u6210ros \u4e5f\u53ef\u4ee5\u662f\u5982\u4e0b\u6b65\u9aa4\uff1a 1\uff09\u6539h\u4e3ar\u53d8\u6210rorse\uff1b 2\uff09\u5220r\u53d8\u6210rose\uff1b 3\uff09\u5220e\u53d8\u6210ros \u663e\u7136\u7b2c\u4e8c\u79cd\u7b56\u7565\u8981\u4f18\u4e8e\u7b2c\u4e00\u79cd\uff0c\u4f46\u662f\u8fd9\u79cd\u6f14\u53d8\u7b56\u7565\u7684\u6392\u5217\u7ec4\u5408\u968f\u7740\u6e90\u4e32a\u548c\u76ee\u7684\u4e32b\u7684\u957f\u5ea6\u589e\u957f\u4f1a\u51e0\u4f55\u7ea7\u6570\u7684\u589e\u957f\u3002\u6211\u4eec\u9700\u8981\u7528\u7a0b\u5e8f\u6765\u6c42\u89e3\u3002 \u8fd9\u662f\u4e00\u4e2a\u5178\u578b\u7684\u8003\u52a8\u6001\u89c4\u5212\u7684\u7f16\u7a0b\u9898\uff0c\u5f88\u591a\u6587\u7ae0\u90fd\u4f1a\u7ed9\u51fa\u4e00\u4e2a\u9012\u63a8\u516c\u5f0f\uff0c\u4f46\u662f\u8fd9\u4e2a\u9012\u63a8\u516c\u5f0f\u4e3a\u4f55\u6b63\u786e\uff0c\u5f97\u5230\u8fd9\u4e2a\u516c\u5f0f\u7684\u601d\u8003\u8fc7\u7a0b\u662f\u5565\uff0c\u4e3a\u4ec0\u4e48\u8fd9\u4e48\u601d\u8003\uff1f\u56de\u7b54\u4e86\u8fd9\u51e0\u4e2a\u95ee\u9898\u624d\u7b97\u7406\u89e3\u4e86\u7f16\u8f91\u8ddd\u79bb\u7684\u7cbe\u9ad3\uff0c\u800c\u4e14\u624d\u80fd\u6709\u4e3e\u4e00\u53cd\u4e09\u7684\u53ef\u80fd\u6027\u3002\u770b\u4e86\u5f88\u591a\u89e3\u91ca\u7684\u6587\u7ae0\uff0c\u611f\u89c9\u90fd\u662f\u4ece\u7ed3\u679c\u6765\u7406\u89e3\u548c\u89e3\u91ca\u9012\u63a8\u8fc7\u7a0b\u53cd\u8bc1\u8fc7\u7a0b\u7684\u6709\u6548\u6027\uff0c\u9694\u9774\u6414\u75d2\uff0c\u6ca1\u6709\u8bb2\u5230\u8fd9\u4e2a\u516c\u5f0f\u662f\u600e\u4e48\u5f97\u6765\u7684\uff0c\u600e\u4e48\u4e00\u4e0b\u5b50\u5c31\u80fd\u5f97\u51fa\u8fd9\u4e48\u7cbe\u5999\u7684\u8ba1\u7b97\u65b9\u6cd5\uff0c\u611f\u89c9\u5c31\u50cf\u73b0\u5728\u89e3\u91ca\u673a\u5668\u5b66\u4e60\u6a21\u578b\u7684\u539f\u7406\u90a3\u6837\uff0c\u8bad\u7ec3\u51fa\u6765\u4e00\u4e2a\u6709\u6548\u7684\u795e\u7ecf\u7f51\u7edc\u7ed3\u6784\uff0c\u7136\u540e\u518d\u8bd5\u56fe\u89e3\u91ca\u6bcf\u4e00\u5c42\u662f\u5728\u5e72\u561b\uff0c\u7136\u800c\u5e76\u4e0d\u662f\u4e00\u5f00\u59cb\u8bbe\u8ba1\u7684\u65f6\u5019\u5c31\u77e5\u9053\u4f1a\u662f\u8fd9\u6837\u3002\u4f46\u7f16\u8f91\u8ddd\u79bb\u8fd9\u4e2a\u7b97\u6cd5\u662f\u5b8c\u5168\u7531\u4eba\u60f3\u51fa\u6765\u7684\uff0c\u5fc5\u7136\u662f\u6709\u8bbe\u8ba1\u8005\u7684\u5fc3\u8def\u5386\u7a0b\u53ef\u5faa\u3002\u4e0b\u9762\u8bb2\u4e0b\u6211\u5bf9\u8fd9\u4e2a\u95ee\u9898\u7684\u7406\u89e3\u601d\u8def\u3002 \u6700\u5bb9\u6613\u60f3\u5230\u7684\u65b9\u6cd5\u662f\u9012\u5f52\uff0c\u9012\u5f52\u51fd\u6570\u4ee5\u76ee\u6807\u5b57\u7b26\u4e32\u548c\u6e90\u5b57\u7b26\u4e32\u4e3a\u8f93\u5165\u53c2\u6570\uff0c\u4ee3\u7801\u5982\u4e0b\uff1a def lev(a, b): if len(a) == 0 or len(b) == 0: return max(len(a),len(b)) if a[0] == b[0]: return lev(a[1:],b[1:]) #\u9996\u5b57\u7b26\u76f8\u7b49\u5219\u8df3\u8fc7 ADD = lev(a,b[1:]) # add b[0]\u5230a\u7684\u5f00\u59cb, \u95ee\u9898\u8f6c\u5316\u4e3a\u6c42a,b[1:]\u7684\u7f16\u8f91\u8ddd\u79bb\uff0c\u56e0\u4e3a\u5934\u90e8\u76f8\u540c\u7684\u5b57\u7b26\u4e0d\u589e\u52a0\u7f16\u8f91\u8ddd\u79bb DEL = lev(a[1:],b) # del a[0] REP = lev(a[1:],b[1:]) # set a[0] = b[0], \u95ee\u9898\u8f6c\u4e3a\u6c42a[1:],b[1:]\uff0c\u539f\u56e0\u540c\u8ba1\u7b97a\u7684\u89e3\u91ca &hellip; <a href=\"http:\/\/www.luo666.com\/?p=329\" class=\"more-link\">Continue reading<span class=\"screen-reader-text\"> 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