{"id":2715,"date":"2023-05-03T02:30:51","date_gmt":"2023-05-02T18:30:51","guid":{"rendered":"https:\/\/www.shuizilong.com\/house\/?p=2715"},"modified":"2023-05-03T17:09:45","modified_gmt":"2023-05-03T09:09:45","slug":"on-on-o1-rmq","status":"publish","type":"post","link":"https:\/\/www.shuizilong.com\/house\/archives\/on-on-o1-rmq\/","title":{"rendered":"On O(n) &#8211; O(1) RMQ"},"content":{"rendered":"<p>RMQ \u8f6c LCA \u518d\u8f6c +-1 RMQ \u7684\u7ecf\u5178\u7b97\u6cd5\u867d\u7136\u5c0f\u65f6\u5019\u5c31\u542c\u8bf4\u8fc7\uff08\u6307 lrj \u7684\u9ed1\u4e66\uff09\uff0c\u4f46\u662f\u5927\u6982\u547d\u8fd0\u4e5f\u8ddf\u4ec0\u4e48 <a href=\"https:\/\/en.wikipedia.org\/wiki\/Fibonacci_heap\">\u6590\u6ce2\u90a3\u5951\u5806<\/a> \u5440\u3001<a href=\"https:\/\/en.wikipedia.org\/wiki\/Strassen_algorithm\">Strassen Algorithm<\/a> \u5440\u4ec0\u4e48\u7684\u4e00\u6837\uff0c\u5c5e\u4e8e\u7406\u8bba\u66f4\u4f18\u4f46\u662f\u56e0\u4e3a\u5e38\u6570\u592a\u5927\u800c\u4ece\u6765\u6ca1\u5199\u8fc7\u7684\u4e1c\u897f\uff0c<br \/>\n\u4f46\u662f\u6700\u8fd1\u770b\u5230\u7684\u4e00\u4e2a\u5341\u5206 practical \u7684\u57fa\u4e8e\u5206\u5757\u5927\u6cd5\u3001\u5355\u8c03\u6808\u548c\u4f4d\u8fd0\u7b97\u7684\u7248\u672c\uff0c\u4e0d\u9700\u8981\u8003\u8651 LCA\uff0c\u4ee3\u7801\u8d85\u77ed\uff0c\u800c\u4e14\u5e38\u6570\u5f88\u4f4e\uff01<\/p>\n<ul>\n<li><a href=\"https:\/\/zhuanlan.zhihu.com\/p\/79423299\">\u4e00\u4e2aRMQ\u95ee\u9898\u7684\u5feb\u901f\u7b97\u6cd5\uff0c\u4ee5\u53ca\u533a\u95f4\u4f17\u6570<\/a><\/li>\n<li><a href=\"https:\/\/zhuanlan.zhihu.com\/p\/86891529\">On O(n) &#8211; O(1) RMQ<\/a><\/li>\n<li><a href=\"https:\/\/codeforces.com\/blog\/entry\/78931\">[Tutorial] Range minimum query in O(1) with linear time construction<\/a><\/li>\n<li><a href=\"https:\/\/ljt12138.blog.uoj.ac\/blog\/4874\">RMQ \u6807\u51c6\u7b97\u6cd5\u548c\u7ebf\u6027\u6811\u4e0a\u5e76\u67e5\u96c6<\/a><\/li>\n<\/ul>\n<div id=\"ez-toc-container\" class=\"ez-toc-v2_0_65 counter-hierarchy ez-toc-counter ez-toc-grey ez-toc-container-direction\">\n<p class=\"ez-toc-title\">Table of Contents<\/p>\n<label for=\"ez-toc-cssicon-toggle-item-69d4641791113\" class=\"ez-toc-cssicon-toggle-label\"><span class=\"\"><span class=\"eztoc-hide\" style=\"display:none;\">Toggle<\/span><span class=\"ez-toc-icon-toggle-span\"><svg style=\"fill: #999;color:#999\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" class=\"list-377408\" width=\"20px\" height=\"20px\" viewBox=\"0 0 24 24\" fill=\"none\"><path d=\"M6 6H4v2h2V6zm14 0H8v2h12V6zM4 11h2v2H4v-2zm16 0H8v2h12v-2zM4 16h2v2H4v-2zm16 0H8v2h12v-2z\" fill=\"currentColor\"><\/path><\/svg><svg style=\"fill: #999;color:#999\" class=\"arrow-unsorted-368013\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" width=\"10px\" height=\"10px\" viewBox=\"0 0 24 24\" version=\"1.2\" baseProfile=\"tiny\"><path d=\"M18.2 9.3l-6.2-6.3-6.2 6.3c-.2.2-.3.4-.3.7s.1.5.3.7c.2.2.4.3.7.3h11c.3 0 .5-.1.7-.3.2-.2.3-.5.3-.7s-.1-.5-.3-.7zM5.8 14.7l6.2 6.3 6.2-6.3c.2-.2.3-.5.3-.7s-.1-.5-.3-.7c-.2-.2-.4-.3-.7-.3h-11c-.3 0-.5.1-.7.3-.2.2-.3.5-.3.7s.1.5.3.7z\"\/><\/svg><\/span><\/span><\/label><input type=\"checkbox\"  id=\"ez-toc-cssicon-toggle-item-69d4641791113\"  aria-label=\"Toggle\" \/><nav><ul class='ez-toc-list ez-toc-list-level-1 ' ><li class='ez-toc-page-1 ez-toc-heading-level-1'><a class=\"ez-toc-link ez-toc-heading-1\" href=\"https:\/\/www.shuizilong.com\/house\/archives\/on-on-o1-rmq\/#RMQ_%E4%B8%80%E8%88%AC%E5%81%9A%E6%B3%95%E5%9B%9E%E9%A1%BE\" title=\"RMQ \u4e00\u822c\u505a\u6cd5\u56de\u987e\">RMQ \u4e00\u822c\u505a\u6cd5\u56de\u987e<\/a><ul class='ez-toc-list-level-2' ><li class='ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-2\" href=\"https:\/\/www.shuizilong.com\/house\/archives\/on-on-o1-rmq\/#%E7%BA%BF%E6%AE%B5%E6%A0%91\" title=\"\u7ebf\u6bb5\u6811\">\u7ebf\u6bb5\u6811<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-3\" href=\"https:\/\/www.shuizilong.com\/house\/archives\/on-on-o1-rmq\/#Sparse_Table\" title=\"Sparse Table\">Sparse Table<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-4\" href=\"https:\/\/www.shuizilong.com\/house\/archives\/on-on-o1-rmq\/#%E5%8D%95%E8%B0%83%E6%A0%88\" title=\"\u5355\u8c03\u6808\">\u5355\u8c03\u6808<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-5\" href=\"https:\/\/www.shuizilong.com\/house\/archives\/on-on-o1-rmq\/#%E8%BD%AC_LCA\" title=\"\u8f6c LCA\">\u8f6c LCA<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-6\" href=\"https:\/\/www.shuizilong.com\/house\/archives\/on-on-o1-rmq\/#Sqrt_Tree\" title=\"Sqrt Tree\">Sqrt Tree<\/a><\/li><\/ul><\/li><li class='ez-toc-page-1 ez-toc-heading-level-1'><a class=\"ez-toc-link ez-toc-heading-7\" href=\"https:\/\/www.shuizilong.com\/house\/archives\/on-on-o1-rmq\/#hqz_%E7%AE%97%E6%B3%95\" title=\"hqz \u7b97\u6cd5\">hqz \u7b97\u6cd5<\/a><\/li><\/ul><\/nav><\/div>\n\n<h1><span class=\"ez-toc-section\" id=\"RMQ_%E4%B8%80%E8%88%AC%E5%81%9A%E6%B3%95%E5%9B%9E%E9%A1%BE\"><\/span>RMQ \u4e00\u822c\u505a\u6cd5\u56de\u987e<span class=\"ez-toc-section-end\"><\/span><\/h1>\n<p>\u5148\u56de\u987e\u4e00\u4e0b RMQ \u95ee\u9898\u7684\u4e00\u822c\u505a\u6cd5\uff0c<\/p>\n<h2><span class=\"ez-toc-section\" id=\"%E7%BA%BF%E6%AE%B5%E6%A0%91\"><\/span>\u7ebf\u6bb5\u6811<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u53ef\u4ee5\u8bf4\u662f\u5b9e\u8df5\u4e2d\u6700 practical \u7684\u505a\u6cd5\uff0c\u652f\u6301\u4fee\u6539\u8fd9\u4e2a\u6027\u8d28\u592a\u597d\u4e86\uff0c\u7ef4\u62a4\u5176\u5b83\u76f8\u5173\u4fe1\u606f\u4e5f\u5f88\u65b9\u4fbf\uff0c\u800c\u4e14\u73b0\u5728\u8fd8\u6709\u5404\u79cd\u65e0\u8d23\u4efb zkw \u6811\uff0c\u8dd1\u7684\u4e5f\u98de\u8d77\uff0c\u5c31\u8fde atcoder library \u7684\u6a21\u677f\u91cc\u5199\u7684\u90fd\u662f zkw \u6811\uff0c\u8fd8\u53ef\u4ee5\u7528\u6811\u94fe\u5256\u5206\uff0c\u52a8\u6001\u6811\u63a8\u5e7f\u5230\u5404\u79cd\u6811\u4e0a RMQ \u7684\u60c5\u51b5\uff0c\u5982\u679c\u4f60\u53ea\u5b66\u4e00\u4e2a\u7b97\u6cd5\u90a3\u80af\u5b9a\u9009\u8fd9\u4e2a\u3002<\/p>\n<h2><span class=\"ez-toc-section\" id=\"Sparse_Table\"><\/span>Sparse Table<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u5f97\u76ca\u4e8e O(1) \u590d\u6742\u5ea6\u7684\u8be2\u95ee\uff0c\u662f\u5b9e\u8df5\u4e2d\u4f7f\u7528\u4ec5\u6b21\u4e8e\u7ebf\u6bb5\u6811\u7684\u505a\u6cd5\u3002\u53d7\u5230\u8fd9\u4e2a\u7b97\u6cd5\u7684\u542f\u53d1\u4e5f\u6709\u4eba\u4f1a\u60f3\u7528\u5176\u5b83\u7684\u5e8f\u5217\u5206\u5272\u65b9\u6cd5\u6765\u505a RMQ\uff0c\u6bd4\u5982\u5f3a\u884c\u7528\u6811\u72b6\u6570\u7ec4\uff0c\u4f46\u662f\u6709\u70b9\u7f18\u6728\u6c42\u9c7c\u56e7\u3002<\/p>\n<h2><span class=\"ez-toc-section\" id=\"%E5%8D%95%E8%B0%83%E6%A0%88\"><\/span>\u5355\u8c03\u6808<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u79bb\u7ebf\u7684\u65f6\u5019\u6211\u4eec\u4e5f\u53ef\u4ee5\u9009\u62e9\u5355\u8c03\u6808\uff0c\u4ee3\u7801\u91cf\u66f4\u77ed\u3002\u4e0d\u8fc7\u4e0d\u662f\u4ec0\u4e48\u4e0d\u53ef\u66ff\u4ee3\u7684\u6027\u8d28\uff0c\u6240\u4ee5\u5728\u6bd4\u8d5b\u4e2d\u51fa\u573a\u673a\u4f1a\u4e0d\u591a\uff0c\u4f46\u662f\u8fd9\u4e00\u6b21\u5728\u65b0\u7b97\u6cd5\u91cc\u5927\u653e\u5f02\u5f69\uff01<\/p>\n<h2><span class=\"ez-toc-section\" id=\"%E8%BD%AC_LCA\"><\/span>\u8f6c LCA<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<ul>\n<li>RMQ &#8211;\u7b1b\u5361\u5c14\u6811&#8211;> LCA<\/li>\n<li>LCA &#8211;\u5404\u79cd\u5e8f&#8211;> RMQ<\/li>\n<\/ul>\n<p>\u770b\u8d77\u6765\u867d\u7136\u6709\u70b9\u591a\u6b64\u4e00\u4e3e\uff0c\u4f46\u662f RMQ \u6700\u65e9 O(n)-O(1) \u7684\u505a\u6cd5\uff0c\u90fd\u662f\u4ece\u8f6c LCA \u5f00\u59cb\u7684\u3002<br \/>\n\u4ee5\u524d\u6211\u4ee5\u4e3a RMQ \u5e94\u8be5\u6bd4 LCA \u66f4<strong>\u7b80\u5355<\/strong>\u4e00\u4e9b\uff0c\u6bd5\u7adf\u524d\u8005\u662f\u5e8f\u5217\u4e0a\u7684\u95ee\u9898\uff0c\u4f46\u8fd9\u662f\u9519\u7684\u3002<br \/>\n\u5b83\u4eec\u4e4b\u95f4\u7684\u5173\u7cfb\u4e5f\u8bb8\u66f4\u50cf\u662f FFT \u91cc\u5bf9\u591a\u9879\u5f0f\u7684\u70b9\u96c6\u8868\u793a\u548c\u7cfb\u6570\u8868\u793a\u3002<\/p>\n<h2><span class=\"ez-toc-section\" id=\"Sqrt_Tree\"><\/span>Sqrt Tree<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<ul>\n<li><a href=\"https:\/\/oi-wiki.org\/ds\/sqrt-tree\/\">https:\/\/oi-wiki.org\/ds\/sqrt-tree\/<\/a><\/li>\n<\/ul>\n<p>Sqrt Tree \u662f\u4e00\u79cd\u7ebf\u6bb5\u6811\u7684 Alternative\uff0c\u53ef\u4ee5\u89e3\u51b3\u6240\u6709\u7ebf\u6bb5\u6811\u80fd\u7ef4\u62a4\u7684\u4fe1\u606f\uff08\u534a\u7fa4\uff09\uff0c\u800c\u4e14\u4e5f\u50cf\u7ebf\u6bb5\u6811\u90a3\u6837\u53ef\u4ee5\u652f\u6301\u4fee\u6539\uff0c\u5e76\u4e14\u5177\u6709\u548c Sparse Table \u4e00\u6837\u7684 O(1) \u8be2\u95ee\u590d\u6742\u5ea6\uff0c\u7f3a\u70b9\u662f\u4fee\u6539\u64cd\u4f5c\u7684\u590d\u6742\u5ea6\u4e3a O(sqrt(n))\u3002<\/p>\n<p>\u601d\u60f3\u4e5f\u975e\u5e38\u7b80\u5355\u5c31\u662f\u9012\u5f52\u7684\u8fdb\u884c\u5206\u5757\uff0c\u7136\u540e\u5de7\u5999\u7684\u4f7f\u7528\u4f4d\u8fd0\u7b97\uff0c\u548c\u6211\u4eec\u4e0b\u9762\u8981\u63d0\u5230\u7684\u8fd9\u79cd\u5206\u5757\u7b97\u6cd5\u6709\u5f88\u591a\u76f8\u4f3c\u4e4b\u5904\u3002<\/p>\n<h1><span class=\"ez-toc-section\" id=\"hqz_%E7%AE%97%E6%B3%95\"><\/span>hqz \u7b97\u6cd5<span class=\"ez-toc-section-end\"><\/span><\/h1>\n<p>\u5206\u5757\u5355\u8c03\u6808\u4f4d\u8fd0\u7b97 O(n) &#8211; O(1) RMQ \u540d\u5b57\u4e5f\u592a\u957f\u4e86\uff0c\u4e0d\u5982\u5c31\u53eb hqz \u7b97\u6cd5\u597d\u5566\uff01<\/p>\n<p>Sparse Table \u662f\u9759\u6001 RMQ \u975e\u5e38\u6709\u7ade\u4e89\u529b\u7684\u4e00\u4e2a\u7b97\u6cd5\uff0c\u56e0\u4e3a\u8be2\u95ee\u65f6\u95f4\u53ea\u9700\u8981 O(1)\uff0c<br \/>\n\u8fd9\u91cc\u6211\u4eec\u8003\u8651\u4f7f\u7528\u5206\u5757\u5927\u6cd5\u6765\u964d\u4f4e\u9884\u5904\u7406\u7684\u590d\u6742\u5ea6\uff0c\u901a\u5e38\u5206\u5757\u4e00\u822c\u662f b = sqrt(n)\uff0c\u4f46\u8fd9\u91cc\u6211\u4eec\u53ef\u4ee5\u66f4\u5c0f\uff0c\u8ba9 b = log(n)\uff08\u56e0\u4e3a ST \u7b97\u6cd5\u7684\u9884\u5904\u7406\u590d\u6742\u5ea6\u662f O(nlogn))\u3002<\/p>\n<p>\u90a3\u4e48\u552f\u4e00\u6709\u95ee\u9898\u7684\u5c31\u662f\u5bf9\u4e8e\u6bcf\u4e2a\u5757\u5185\uff0c\u5982\u4f55\u4e5f\u505a\u5230 O(1)\u3002<br \/>\n\u6700\u7b80\u5355\u7684\u60f3\u6cd5\uff0c\u53ef\u80fd\u662f\u5bf9\u6bcf\u4e00\u4e2a\u5757\u90fd\u8dd1\u4e00\u4e2a\u5c0f\u53f7\u7684 Sparse Table\u3002\u3002\u3002<br \/>\n\u4f46\u662f\u8fd9\u6837\u4f1a\u7834\u574f\u6211\u4eec\u9884\u5904\u7406\u590d\u6742\u5ea6\u7684\u8981\u6c42\uff0c\u4f46\u662f overall \u7684\u590d\u6742\u5ea6\u662f\u66f4\u4f18\u7684\uff0cO(n\/b*blogb)\u3002\u3002\uff08\u90a3\u6211\u4eec\u662f\u4e0d\u662f\u80fd\u9012\u5f52\u641e\uff1f\uff09<\/p>\n<p>\u4e0d\u8fc7\u6709\u4e00\u79cd\u66f4\u597d\u7684\u65b9\u6cd5\uff0c\u5c31\u662f\u57fa\u4e8e\u5355\u8c03\u6808\u9884\u5904\u7406\u51fa\u6bcf\u4e2a\u4f4d\u7f6e\u5206\u522b\u518d\u8be2\u95ee\u5bbd\u5ea6\u591a\u5927\u7684\u65f6\u5019\uff0c\u7ed3\u679c\u4f1a\u53d1\u751f\u53d8\u5316\u3002<br \/>\n\u800c\u8fd9\u4e2a\u4e1c\u897f\u518d query \u7684\u65f6\u5019\u5c45\u7136\u662f\u53ef\u4ee5\u76f4\u63a5\u4f4d\u8fd0\u7b97 O(1) \u5f97\u5230\u76ee\u6807\u4f4d\u7f6e\u7684\u3002\u3002\u3002\u4e8e\u662f\u95ee\u9898\u5c31\u89e3\u51b3\u4e86\u3002<\/p>\n<p>\u4e60\u9898<br \/>\n&#8211; <a href=\"https:\/\/darkbzoj.cc\/problem\/1699\">BZOJ #1699. [Usaco2007 Jan]Balanced Lineup\u6392\u961f<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>RMQ \u8f6c LCA \u518d\u8f6c +-1 RMQ \u7684\u7ecf\u5178\u7b97\u6cd5\u867d\u7136\u5c0f\u65f6\u5019\u5c31\u542c\u8bf4\u8fc7\uff08\u6307 lrj \u7684\u9ed1\u4e66\uff09\uff0c\u4f46\u662f\u5927\u6982\u547d\u8fd0\u4e5f\u8ddf\u4ec0\u4e48 \u6590\u6ce2\u90a3\u5951\u5806 \u5440\u3001Strassen Algorithm \u5440\u4ec0\u4e48\u7684\u4e00\u6837\uff0c\u5c5e\u4e8e\u7406\u8bba\u66f4\u4f18\u4f46\u662f\u56e0\u4e3a\u5e38\u6570\u592a\u5927\u800c\u4ece\u6765\u6ca1\u5199\u8fc7\u7684\u4e1c\u897f\uff0c \u4f46\u662f\u6700\u8fd1\u770b\u5230\u7684\u4e00\u4e2a\u5341\u5206 practical \u7684\u57fa\u4e8e\u5206\u5757\u5927\u6cd5\u3001\u5355\u8c03\u6808\u548c\u4f4d\u8fd0\u7b97\u7684\u7248\u672c\uff0c\u4e0d\u9700\u8981\u8003\u8651 LCA\uff0c\u4ee3\u7801\u8d85\u77ed\uff0c\u800c\u4e14\u5e38\u6570\u5f88\u4f4e\uff01 \u4e00\u4e2aRMQ\u95ee\u9898\u7684\u5feb\u901f\u7b97\u6cd5\uff0c\u4ee5\u53ca\u533a\u95f4\u4f17\u6570 On O(n) &#8211; O(1) RMQ [Tutorial] Range minimum query in O(1) with linear time construction RMQ \u6807\u51c6\u7b97\u6cd5\u548c\u7ebf\u6027\u6811\u4e0a\u5e76\u67e5\u96c6 RMQ \u4e00\u822c\u505a\u6cd5\u56de\u987e \u5148\u56de\u987e\u4e00\u4e0b RMQ \u95ee\u9898\u7684\u4e00\u822c\u505a\u6cd5\uff0c \u7ebf\u6bb5\u6811 \u53ef\u4ee5\u8bf4\u662f\u5b9e\u8df5\u4e2d\u6700 practical \u7684\u505a\u6cd5\uff0c\u652f\u6301\u4fee\u6539\u8fd9\u4e2a\u6027\u8d28\u592a\u597d\u4e86\uff0c\u7ef4\u62a4\u5176\u5b83\u76f8\u5173\u4fe1\u606f\u4e5f\u5f88\u65b9\u4fbf\uff0c\u800c\u4e14\u73b0\u5728\u8fd8\u6709\u5404\u79cd\u65e0\u8d23\u4efb zkw \u6811\uff0c\u8dd1\u7684\u4e5f\u98de\u8d77\uff0c\u5c31\u8fde atcoder library \u7684\u6a21\u677f\u91cc\u5199\u7684\u90fd\u662f zkw \u6811\uff0c\u8fd8\u53ef\u4ee5\u7528\u6811\u94fe\u5256\u5206\uff0c\u52a8\u6001\u6811\u63a8\u5e7f\u5230\u5404\u79cd\u6811\u4e0a RMQ \u7684\u60c5\u51b5\uff0c\u5982\u679c\u4f60\u53ea\u5b66\u4e00\u4e2a\u7b97\u6cd5\u90a3\u80af\u5b9a\u9009\u8fd9\u4e2a\u3002 Sparse Table [&hellip;]<\/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,"_jetpack_memberships_contains_paid_content":false,"footnotes":"","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":[1],"tags":[],"class_list":["post-2715","post","type-post","status-publish","format-standard","hentry","category-uncategorized"],"jetpack_publicize_connections":[],"jetpack_featured_media_url":"","jetpack_shortlink":"https:\/\/wp.me\/p2tdP7-HN","jetpack_sharing_enabled":true,"_links":{"self":[{"href":"https:\/\/www.shuizilong.com\/house\/wp-json\/wp\/v2\/posts\/2715","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.shuizilong.com\/house\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.shuizilong.com\/house\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.shuizilong.com\/house\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.shuizilong.com\/house\/wp-json\/wp\/v2\/comments?post=2715"}],"version-history":[{"count":22,"href":"https:\/\/www.shuizilong.com\/house\/wp-json\/wp\/v2\/posts\/2715\/revisions"}],"predecessor-version":[{"id":2737,"href":"https:\/\/www.shuizilong.com\/house\/wp-json\/wp\/v2\/posts\/2715\/revisions\/2737"}],"wp:attachment":[{"href":"https:\/\/www.shuizilong.com\/house\/wp-json\/wp\/v2\/media?parent=2715"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.shuizilong.com\/house\/wp-json\/wp\/v2\/categories?post=2715"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.shuizilong.com\/house\/wp-json\/wp\/v2\/tags?post=2715"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}