{"id":218,"date":"2018-06-02T11:15:34","date_gmt":"2018-06-02T11:15:34","guid":{"rendered":"http:\/\/www.luo666.com\/?p=218"},"modified":"2019-02-16T12:05:23","modified_gmt":"2019-02-16T12:05:23","slug":"%e5%8a%a8%e6%80%81%e8%a7%84%e5%88%92%ef%bc%9a%e6%8b%ac%e5%8f%b7%e7%94%9f%e6%88%90","status":"publish","type":"post","link":"http:\/\/www.luo666.com\/?p=218","title":{"rendered":"\u52a8\u6001\u89c4\u5212\uff1a\u62ec\u53f7\u751f\u6210"},"content":{"rendered":"<p><a href=\"https:\/\/leetcode-cn.com\/problems\/generate-parentheses\/description\/\">LeetCode\u4e0a\u4e00\u4e2a\u4e2d\u7b49\u96be\u5ea6\u7684\u9898<\/a>\uff0c\u53ef\u4ee5\u7528\u9012\u5f52\uff0c\u5f53\u7136\u4e5f\u53ef\u4ee5\u7528\u52a8\u6001\u89c4\u5212\uff08\u8fd9\u9053\u9898\u76ee\u7684\u72b6\u6001\u8f6c\u79fb\u65b9\u7a0b\u6709\u70b9\u590d\u6742\uff0c\u5b9a\u4e49\u4e3a\u4e2d\u7b49\u8ba9\u6211\u611f\u89c9\u88ab\u9119\u89c6\u4e86\uff09\uff0c\u4e0b\u9762\u5148\u4e0a\u52a8\u6001\u89c4\u5212\u7684\u4ee3\u7801\uff1a<\/p>\n<p><!--more--><\/p>\n<pre class=\"nums:false lang:python decode:true\">class Solution(object):\n    def generateParenthesis(self, n):\n        \"\"\"\n        :type n: int\n        :rtype: List[str]\n        \"\"\"\n\n        r = [[] for i in range(n+1)]\n        r[0] = [\"\"]\n\n        for i in range(1, n+1):\n            for j in range(i):\n                r[i] += ['('+k+')'+l for k in r[j] for l in r[i-j-1]]\n\n        return r[n]<\/pre>\n<p>\u63a8\u5bfc\u51fadp[n]\u9700\u8981\u524d\u9762\u6240\u6709\u7684\u72b6\u6001\u7ec4\u5408\u8d77\u6765\uff1a<\/p>\n<p>\u901a\u4fd7\u7684\u8bf4\u5f97\u5230n\u4e2a\u62ec\u53f7\u7684\u7ec4\u5408dp[n]\u5c31\u662f\u628a\u4e00\u4e2a\u62ec\u53f7\u52a0\u5165\u5230dp[n-1]\u7684\u6bcf\u4e00\u79cd\u7ec4\u5408\u91cc\u4e14\u5f97\u5230\u7684\u65b0\u7684\u62ec\u53f7\u7ec4\u5408\u8981\u6709\u6548\u3002\u5982\u4f55\u4fdd\u8bc1\u52a0\u5165\u4e00\u4e2a\u62ec\u53f7\u540e\u7684\u65b0\u7ec4\u5408\u6709\u6548\u5462\uff1f\u53ea\u8981\u88ab\u65b0\u52a0\u5165\u62ec\u53f7\u62ec\u8d77\u6765\u7684\u90e8\u5206k=dp[i]\u548c\u5269\u4f59\u90e8\u5206l=dp[n-1-i]\u90fd\u662f\u6709\u6548\u7684\uff0c\u6362\u53e5\u8bdd\u8bf4\u6211\u4eec\u8981\u628adp[n-1]\u4e2d\u7684\u6bcf\u4e00\u79cd\u7ec4\u5408\u62c6\u5206\u6210\u4e24\u90e8\u5206\uff0c\u5e76\u7ed9\u5176\u4e2d\u4e00\u90e8\u5206\u62ec\u4e0a\u4e00\u4e2a\u65b0\u62ec\u53f7\u3002<\/p>\n<p>\u4e3e\u4e2a\u4f8b\u5b50\uff0c\u5982\u679c\u6211\u4eec\u8981\u5f97\u52304\u4e2a\u62ec\u53f7\u7684\u7ec4\u5408\uff0c\u90a3\u4e48\u9700\u8981\u628a3\u4e2a\u62ec\u53f7\u6240\u6709\u53ef\u80fd\u7ec4\u5408\u7684\u6bcf\u4e00\u79cd\u62c6\u5206\u6210\u6709\u6548\u7684\u4e24\u90e8\u5206\uff0c\u62c6\u5206\u5b8c\u540e\u53ef\u80fd\u662f0+3,1+2,2+1,3+0\u8fd9\u56db\u79cd\u5f62\u5f0f\uff080\u4ee3\u8868\u7a7a\u5b57\u7b26\u4e32\uff0c\u5373\u5728dp[3]\u7684\u5de6\u8fb9\u6216\u53f3\u8fb9\u52a0\u4e00\u4e2a\u65b0\u7684\u62ec\u53f7\uff0c\u5b83\u62ec\u4f4f\u7684\u5185\u5bb9\u662f\u7a7a\uff09\u3002\u9700\u8981\u6ce8\u610f\u7684\u662f\uff0c\u5e76\u4e0d\u662fdp[3]\u4e2d\u7684\u6bcf\u4e00\u79cd\u7ec4\u5408\u90fd\u53ef\u4ee5\u62c6\u6210\u8fd94\u79cd\uff0c\u6bd4\u5982((()))\u8fd9\u4e2a\u5c31\u53ea\u80fd\u62c6\u62103+0\u548c0+3\u3002\u6b63\u5411\u601d\u7ef4\u7684\u62c6\u5206\u770b\u8d77\u6765\u662f\u975e\u5e38\u590d\u6742\u7684\uff0c\u56e0\u4e3a\u8981\u533a\u522b\u5bf9\u5f85\u5404\u79cd\u60c5\u51b5\uff0c\u6b64\u65f6\u91c7\u7528\u53cd\u5411\u601d\u7ef4\uff0c\u6211\u4eec\u4e0d\u53bb\u62c6\u800c\u662f\u53bb\u6784\u5efa\uff0c\u7528\u6765\u6784\u5efa\u7684\u6750\u6599\u5219\u662fdp\u6570\u7ec4\u4e2d\u73b0\u6210\u7684\u3002\u6309\u7167\u524d\u9762\u76844\u79cd\u62c6\u5206\u5f62\u5f0f\u6211\u4eec\u5bf9\u53f7\u5165\u5ea7\uff0c\u505a\u4e2a\u6392\u5217\u7ec4\u5408\u5c31\u53ef\u4ee5\u4e86\u3002<\/p>\n<p>\u6bcf\u4e00\u79cd\u62c6\u5206\u5f62\u5f0f\u7684\u4e24\u90e8\u5206dp[i]\u548cdp[n-1-i]\u505a\u6392\u5217\u7ec4\u5408\uff0c\u5e76\u4e14\u53ea\u7ed9dp[i]\u90e8\u5206\u52a0\u62ec\u53f7\uff0c\u53ef\u4ee5\u4fdd\u8bc1\u6211\u4eec\u5f97\u5230\u6240\u6709\u7684\u7ec4\u5408\u662f\u4e0d\u91cd\u590d\u7684\u3002\u6211\u4eec\u79f0i\u90e8\u5206\u4e3a\u201c\u62ec\u53f7\u5185\u201d\uff0c\u957f\u5ea6\u4e3a2i\uff0cn-1-i\u90e8\u5206\u4e3a\u201c\u5269\u4f59\u90e8\u5206\u201d\u3002\u6211\u4eec\u662f\u7ed9\u62ec\u53f7\u5185\u90e8\u5206\u6574\u4e2a\u62ec\u4e0a\u4e00\u4e2a\u62ec\u53f7\uff0c\u957f\u5ea6\u53d8\u6210\u4e862i+2\uff0c\u4e0d\u540c\u7684\u62c6\u5206\u5f62\u5f0f\u4e4b\u95f4\u4e00\u5b9a\u4e0d\u4f1a\u91cd\u590d\uff0c\u56e0\u4e3a\u5bf9i,n-1-i\u8fd9\u79cd\u62c6\u5206\uff0c\u52a0\u5b8c\u62ec\u53f7\u540e\uff0c\u7b2c2i+2\u548c2i+3\u5b57\u7b26\u4e2d\u95f4\u4e00\u5b9a\u662f\u53ef\u4ee5\u62c6\u5206\u7684\uff0c\u800ci+1,n-i\u4ee5\u53ca\u4e4b\u540e\u7684\u6240\u6709\u62c6\u5206\u5f62\u5f0f\u57282i+2\u548c2i+3\u4e4b\u95f4\u662f\u7edd\u4e0d\u53ef\u80fd\u6709\u6548\u62c6\u5206\u7684\u3002\u4e3e\u4f8b\u6765\u8bf4\uff1a<\/p>\n<p><em>()()() \u62c6\u5206\u6210 () | ()()\u548c()() | ()\uff0c\u52a0\u5b8c\u62ec\u53f7\u540e\u53d8\u6210\uff1a(()) | ()()\u548c(()( | )) ()<\/em><\/p>\n<p><em>\u540c\u6837\u7684\u4f4d\u7f6e\u52a0\u5165\u5206\u9694\u7b26\uff0c\u4e00\u4e2a\u4e00\u5b9a\u662f\u6709\u6548\u5206\u5272\uff0c\u4e00\u4e2a\u4e00\u5b9a\u662f\u65e0\u6548\u7684\uff08\u52a0\u62ec\u53f7\u524d\u62ec\u53f7\u5185\u90e8\u5206\u4e5f\u662f\u4e24\u4e24\u6210\u5bf9\u7684\uff0c\u603b\u957f2i\uff0c\u6700\u5916\u5c42\u52a0\u62ec\u53f7\uff0c\u53ea\u80fd\u662f\u6700\u5916\u5c42\u81ea\u5df1\u914d\u5bf9\uff0c\u6240\u4ee5\u5728\u7b2c2i+2\u4e2a\u5b57\u7b26\u524d\u52a0\u5165\u5206\u9694\u7b26\u4e00\u5b9a\u4f1a\u7834\u574f\u6700\u5916\u5c42\u7684\u62ec\u53f7\uff09<\/em><\/p>\n<p>\u52a0\u62ec\u53f7\u540e\uff0c\u4e0d\u540c\u62c6\u5206\u4e4b\u95f4\u4e0d\u4f1a\u51fa\u73b0\u91cd\u590d\uff1b\u90a3\u4e48\u540c\u79cd\u62c6\u5206\u5185\u90e8\u4f1a\u4e0d\u4f1a\u51fa\u73b0\u91cd\u590d\uff0c\u8fd9\u4e2a\u5f88\u7b80\u5355\uff0c\u56e0\u4e3a\u662f\u6392\u5217\u7ec4\u5408\uff0c\u62ec\u53f7\u5185\u90e8\u5206\u76f8\u540c\u7684\uff0c\u5269\u4f59\u90e8\u5206\u5c31\u4e0d\u540c\uff0c\u800c\u5269\u4f59\u76f8\u540c\u7684\u62ec\u53f7\u5185\u4e5f\u4e00\u5b9a\u4e0d\u540c\u3002<\/p>\n<p>\u603b\u7684\u6765\u8bf4\uff0c\u4e0a\u9762\u4ee3\u7801\u4f53\u73b0\u7684\u72b6\u6001\u8f6c\u79fb\u65b9\u7a0b\uff0c\u4e00\u5b9a\u662f\u7ed3\u679c\u6709\u6548\u4e14\u5168\u8986\u76d6\u7684\uff0c\u6ee1\u8db3\u4e86\u8fd9\u4e24\u4e2a\u6761\u4ef6\uff0c\u6211\u4eec\u7684\u72b6\u6001\u8f6c\u79fb\u65b9\u7a0b\u5c31\u80fd\u63a8\u5bfc\u51fa\u6240\u6709\u6b63\u786e\u7ed3\u679c\u4e86\u3002<\/p>\n<p>\u9644\u4e0a\u9012\u5f52\u7b97\u6cd5\uff0c\u7b14\u8005\u6ca1\u6709\u4f18\u5316\u9012\u5f52\u7b97\u6cd5\u7684\u4ee3\u7801\uff0c\u9012\u5f52\u7b97\u6cd5\u6267\u884c\u8017\u8d39\u4e86876ms\uff0c\u800c\u4e0a\u8ff0\u52a8\u6001\u89c4\u5212\u7b97\u6cd5\u53ea\u82b1\u8d39\u4e8636ms\u3002\u6211\u60f3\u8fd9\u6837\u7684\u5dee\u8ddd\u4e0d\u662f\u4e00\u70b9\u4f18\u5316\u53ef\u4ee5\u5f25\u8865\u7684\uff0c\u4e24\u70b9\u4e5f\u4e0d\u884c\u3002\u3002<\/p>\n<pre class=\"nums:false lang:python decode:true \">class Solution(object):\n    def generateParenthesis(self, n):\n        \"\"\"\n        :type n: int\n        :rtype: List[str]\n        \"\"\"\n\n        r = [\"()\"]\n        if n == 1:\n            return r\n\n        for i in range(n-1):\n            t = []\n            for j in r:\n                jl = list(j)\n                for k in range(len(j)):\n                    jl.insert(k, \"(\")\n                    for l in range(k+1, len(jl)+1):\n                        jl.insert(l,\")\")\n                        j = ''.join(jl)\n                        if j not in t:\n                            t.append(j)\n                        jl.pop(l)\n                    jl.pop(k)\n            r = t\n        return r\n<\/pre>\n<p>&nbsp;<\/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>LeetCode\u4e0a\u4e00\u4e2a\u4e2d\u7b49\u96be\u5ea6\u7684\u9898\uff0c\u53ef\u4ee5\u7528\u9012\u5f52\uff0c\u5f53\u7136\u4e5f\u53ef\u4ee5\u7528\u52a8\u6001\u89c4\u5212\uff08\u8fd9\u9053\u9898\u76ee\u7684\u72b6\u6001\u8f6c\u79fb\u65b9\u7a0b\u6709\u70b9\u590d\u6742\uff0c\u5b9a\u4e49\u4e3a\u4e2d\u7b49\u8ba9\u6211\u611f\u89c9\u88ab\u9119\u89c6\u4e86\uff09\uff0c\u4e0b\u9762\u5148\u4e0a\u52a8\u6001\u89c4\u5212\u7684\u4ee3\u7801\uff1a<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"jetpack_post_was_ever_published":false,"_jetpack_newsletter_access":"","_jetpack_dont_email_post_to_subs":false,"_jetpack_newsletter_tier_id":0,"_jetpack_memberships_contains_paywalled_content":false,"footnotes":"","_jetpack_memberships_contains_paid_content":false,"jetpack_publicize_message":"","jetpack_publicize_feature_enabled":true,"jetpack_social_post_already_shared":true,"jetpack_social_options":{"image_generator_settings":{"template":"highway","enabled":false}}},"categories":[2],"tags":[],"jetpack_publicize_connections":[],"jetpack_featured_media_url":"","jetpack_sharing_enabled":true,"jetpack_shortlink":"https:\/\/wp.me\/p7Dhki-3w","jetpack-related-posts":[],"_links":{"self":[{"href":"http:\/\/www.luo666.com\/index.php?rest_route=\/wp\/v2\/posts\/218"}],"collection":[{"href":"http:\/\/www.luo666.com\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"http:\/\/www.luo666.com\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"http:\/\/www.luo666.com\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"http:\/\/www.luo666.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=218"}],"version-history":[{"count":8,"href":"http:\/\/www.luo666.com\/index.php?rest_route=\/wp\/v2\/posts\/218\/revisions"}],"predecessor-version":[{"id":402,"href":"http:\/\/www.luo666.com\/index.php?rest_route=\/wp\/v2\/posts\/218\/revisions\/402"}],"wp:attachment":[{"href":"http:\/\/www.luo666.com\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=218"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"http:\/\/www.luo666.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=218"},{"taxonomy":"post_tag","embeddable":true,"href":"http:\/\/www.luo666.com\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=218"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}