{"id":113,"date":"2024-04-26T12:49:58","date_gmt":"2024-04-26T04:49:58","guid":{"rendered":"https:\/\/seanxd.com\/?p=113"},"modified":"2024-04-26T12:52:48","modified_gmt":"2024-04-26T04:52:48","slug":"zerojudge-k652","status":"publish","type":"post","link":"https:\/\/seanxd.com\/en\/zerojudge-k652\/","title":{"rendered":"ZeroJudge K652: Binary Search Tree Recovery"},"content":{"rendered":"\n\n\n<p class=\"\">\u4e8c\u5143\u6a39\u662f\u4e00\u500b\u6a39\u72c0\u7d50\u69cb\uff0c\u6a39\u4e0a\u6bcf\u500b\u7bc0\u9ede\u6700\u591a\u6709\u5169\u500b\u5206\u652f\uff0c\u5206\u652f\u88ab\u7a31\u70ba\u300c\u5de6\u5b50<br>\u6a39\u300d\u548c\u300c\u53f3\u5b50\u6a39\u300d\u3002\u4e8c\u5143\u6a39\u7684\u5206\u652f\u5177\u6709\u5de6\u53f3\u6b21\u5e8f\uff0c\u4e0d\u80fd\u96a8\u610f\u985b\u5012\u3002\u4e8c\u5143\u641c\u5c0b\u6a39\uff08\u5982<br>\u5716\u4e00\uff09\u662f\u6307\u662f\u6307\u4e00\u9846\u7a7a\u6a39\uff08\u672c\u984c\u4e0d\u6703\u9047\u5230\u6b64\u60c5\u6cc1\uff09\u6216\u662f\u5177\u6709\u4e0b\u5217\u6027\u8cea\u7684\u4e8c\u5143\u6a39\uff1a<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li class=\"\">\u82e5\u4efb\u610f\u7bc0\u9ede\u7684\u5de6\u5b50\u6a39\u4e0d\u7a7a\uff0c\u5247\u5de6\u5b50\u6a39\u4e0a\u6240\u6709\u7bc0\u9ede\u7684\u503c\u5747<strong>\u5c0f\u65bc<\/strong>\u5b83\u6839\u7bc0\u9ede\u7684\u503c<\/li>\n\n\n\n<li class=\"\">\u82e5\u4efb\u610f\u7bc0\u9ede\u7684\u53f3\u5b50\u6a39\u4e0d\u7a7a\uff0c\u5247\u53f3\u5b50\u6a39\u4e0a\u6240\u6709\u7bc0\u9ede\u7684\u503c\u5747<strong>\u5927\u65bc<\/strong>\u5b83\u6839\u7bc0\u9ede\u7684\u503c<\/li>\n\n\n\n<li class=\"\">\u4efb\u610f\u7bc0\u9ede\u7684\u5de6\u3001\u53f3\u5b50\u6a39\u4e5f\u5206\u5225\u70ba<strong>\u4e8c\u5143\u641c\u5c0b\u6a39<\/strong><\/li>\n<\/ul>\n\n\n\n<p class=\"\">\u4ee5\u4e0a\u8cc7\u6599\u53c3\u8003\u81ea\u7dad\u57fa\u767e\u79d1<strong>\u300c\u4e8c\u5143\u6a39\u300d<\/strong>\u8207<strong>\u300c\u4e8c\u5143\u641c\u5c0b\u6a39\u300d<\/strong>\u3002<\/p>\n\n\n\n<p class=\"\">\u4e00\u68f5\u4e8c\u5143\u641c\u5c0b\u6a39\u7684\u5f8c\u5e8f\u8d70\u8a2a\u8f38\u51fa\u7684\u7a0b\u5e8f\u662f\u6307\uff1a<\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li class=\"\">\u5982\u679c\u6839\u7bc0\u9ede\u5b58\u5728\u5de6\u5b50\u6a39\uff0c\u8f38\u51fa\u5b83\u5de6\u5b50\u6a39\u5f8c\u5e8f\u8d70\u8a2a\u7684\u7d50\u679c<\/li>\n\n\n\n<li class=\"\">\u5982\u679c\u6839\u7bc0\u9ede\u5b58\u5728\u53f3\u5b50\u6a39\uff0c\u8f38\u51fa\u5b83\u53f3\u5b50\u6a39\u5f8c\u5e8f\u8d70\u8a2a\u7684\u7d50\u679c<\/li>\n\n\n\n<li class=\"\">\u8f38\u51fa\u6839\u7bc0\u9ede\u7684\u503c<\/li>\n<\/ol>\n\n\n\n<p class=\"\">\u5982\u6b64\u905e\u8ff4\u4e0b\u53bb\u3002\u4f8b\u5982\uff1a\u4e0b\u5716\u7684\u5f8c\u5e8f\u8d70\u8a2a\u7d50\u679c\u70ba &lt;P<sub>1<\/sub>\uff0e\uff0e\uff0eP<sub>8<\/sub>&gt; = &lt;2, 1, 6, 3, 15, 19, 12, 7&gt;\u3002<\/p>\n\n\n\n<p class=\"\">\u672c\u984c\u7684\u4efb\u52d9\u70ba\u5728\u7d66\u5b9a\u4e00\u68f5\u4e8c\u5143\u641c\u5c0b\u6a39\u7684\u5f8c\u5e8f\u8d70\u8a2a\u8f38\u51fa\uff0c\u8acb\u627e\u51fa\u5176\u4ee3\u8868\u7684\u4e8c\u5143\u641c\u5c0b\u6a39\uff0c\u4e26\u4f9d\u7167\u8f38\u51fa\u683c\u5f0f\u8aaa\u660e\u8f38\u51fa\u3002<\/p>\n\n\n\n<figure class=\"wp-block-image aligncenter size-full is-resized nfd-wb-animate nfd-wb-zoom-in\"><img decoding=\"async\" width=\"311\" height=\"222\" loading=\"lazy\" src=\"https:\/\/seanxd.com\/wp-content\/uploads\/2024\/04\/\u622a\u5716-2024-04-26-\u4e2d\u534812.24.38.png\" alt=\"ZeroJudge K652\uff1a\u4e8c\u5143\u641c\u5c0b\u6578\u7bc4\u4f8b\" class=\"wp-image-114\" style=\"width:311px;height:auto\" srcset=\"https:\/\/seanxd.com\/wp-content\/uploads\/2024\/04\/\u622a\u5716-2024-04-26-\u4e2d\u534812.24.38.png 311w, https:\/\/seanxd.com\/wp-content\/uploads\/2024\/04\/\u622a\u5716-2024-04-26-\u4e2d\u534812.24.38-300x214.png 300w\" sizes=\"auto, (max-width: 311px) 100vw, 311px\" \/><\/figure>\n\n\n\n<h2 class=\"wp-block-heading\">\u7bc4\u4f8b\u6e2c\u8cc7<\/h2>\n\n\n\n<figure class=\"wp-block-table nfd-wb-animate nfd-wb-fade-in-bottom-short\"><table class=\"has-fixed-layout\"><thead><tr><th>\u7bc4\u4f8b\u8f38\u5165<\/th><th>\u7bc4\u4f8b\u8f38\u51fa<\/th><\/tr><\/thead><tbody><tr><td>\u7b2c\u4e00\u5217\u6709 1 \u500b\u6b63\u6574\u6578 N (1 \u2264 N \u2264 2\u00d710<sup>5<\/sup>)\uff0c\u8868\u793a\u4e8c\u5143\u641c\u5c0b\u6a39\u6709 N \u500b\u7bc0\u9ede\u3002\u7b2c\u4e8c\u5217\u6709 N \u500b\u4e0d\u91cd\u8907\u7684\u6b63\u6574\u6578 P<sub>1<\/sub> \uff0e\uff0e\uff0e P<sub>N<\/sub> (1 \u2264 P<sub>1<\/sub> \uff0e\uff0e\uff0eP<sub>N<\/sub> \u2264 109)\uff0c\u5f7c\u6b64\u7686\u4ee5\u4e00\u500b\u7a7a\u767d\u9694\u958b\uff0c\u8868\u793a\u5f8c\u5e8f\u8d70\u8a2a\u8f38\u51fa\u7684\u7d50\u679c\u3002<\/td><td>\u8acb\u8f38\u51fa N \u5217\uff0c\u7b2c i \u5217\u6709\u5169\u500b\u6574\u6578 U<sub>i<\/sub> \u548c F<sub>i<\/sub> (1 \u2264 i \u2264 N)\uff0c\u8868\u793a\u503c\u70ba U<sub>i<\/sub> \u7684\u7bc0\u9ede\u5176\u4e0a<br>\u4ee3\u7bc0\u9ede\u662f F\uff0c\u4f46\u5982\u679c i U<sub>i<\/sub>\u662f\u6839\u7bc0\u9ede\uff0c\u4e0a\u4ee3\u7bc0\u9ede\u4ee5 <strong>-1<\/strong> \u8868\u793a\u3002\u5176\u4e2d\u5c0d\u65bc\u6240\u6709\u7684 1 \u2264 i &lt; N\uff0c<br>U<sub>i<\/sub> &lt; U<sub>i<\/sub>+1\u3002<\/td><\/tr><tr><td>8<br>2  1  6  3  15  19  12  7<\/td><td>1  3<br>2  1<br>3  7<br>6  3<br>7  -1<br>12  7<br>15  19<br>19  12<\/td><\/tr><tr><td>7<br>7  3  1  9  15  20  16<\/td><td>1  9<br>3  1<br>7  3 <br>9  15<br>15  16<br>16  -1<br>20  16<\/td><\/tr><tr><td>1<br>2<\/td><td>2  -1<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<h2 class=\"wp-block-heading\">\u89e3\u984c\u601d\u8def<\/h2>\n\n\n\n<p class=\"\">\u672c\u984c\u53ef\u4ee5\u53c3\u7167<strong><a href=\"https:\/\/zerojudge.tw\/ShowProblem?problemid=d526\" target=\"_blank\" rel=\"noreferrer noopener\">D526<\/a><\/strong>\u7684\u89e3\u984c\u65b9\u5f0f\uff0c\u53ea\u662f\u5f9e\u6700\u53f3\u908a\u5230\u6700\u5de6\u908a\u5efa\u7acb\u4e8c\u5143\u641c\u5c0b\u6a39\uff0c\u7576\u628a\u8cc7\u6599\u585e\u5230<strong>Struct<\/strong>\u88e1\u6642\uff0c\u56e0\u70ba\u4e8c\u5143\u641c\u5c0b\u6a39\u7684\u8cc7\u6599\u4e0d\u662f\u9023\u7e8c\u7684\u6574\u6578\uff0c\u6240\u4ee5\u53ef\u4ee5\u4f7f\u7528Map\u628a\u76ee\u524d\u6578\u5b57\u7684\u4e0a\u4e00\u500b\u7bc0\u9ede\u5b58\u8d77\u4f86\u3002\u7576\u8981\u8f38\u51fa\u6642\uff0c\u53ea\u9700\u4f7f\u7528<strong>For<\/strong>\u8ff4\u5708\u4e26\u4f7f\u7528 <strong>(auto it:MAP)<\/strong> \u4f86\u505a\u8f38\u51fa\uff0c\u7576\u4f7f\u7528<strong>auto it:MAP<\/strong>\u7684\u6642\u5019it\u6703\u8b8a\u6210\u4e00\u500bpair\u7684\u578b\u614b\uff0c\u6240\u4ee5\u53ea\u9700\u8f38\u51fa <strong>it.first<\/strong> \u548c <strong>it.second<\/strong> \u5373\u53ef\u3002\u672c\u984c\u5982\u679c\u4f7f\u7528<strong>endl<\/strong>\u4f86\u8f38\u51fa\u7684\u6642\u5019\u53ef\u80fd\u6703\u9047\u5230<strong>TLE<\/strong>\u7684\u60c5\u6cc1\u51fa\u73fe\uff0c\u6240\u4ee5\u53ef\u4ee5\u4f7f\u7528 <strong>cout &lt;&lt; &#8220;\\n&#8221;<\/strong> \u6216\u662f <strong>scanf\/printf<\/strong> \u4f86\u52a0\u901f\u3002<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">\u7bc4\u4f8b\u7a0b\u5f0f\u78bc\uff0d<a href=\"https:\/\/zerojudge.tw\/ShowProblem?problemid=k652\" target=\"_blank\" rel=\"noreferrer noopener\">ZeroJudge K652: \u4e8c\u5143\u641c\u5c0b\u6a39\u5fa9\u539f (BST)<\/a><\/h3>\n\n\n\n<div class=\"hcb_wrap nfd-wb-animate nfd-wb-reveal-right\"><pre class=\"prism line-numbers lang-cpp\" data-lang=\"C++\"><code>#include &lt;vector&gt;\n#include &lt;map&gt;\n#include &lt;stdio.h&gt;\nusing namespace std;\n\nstruct Node {\n    int value;\n    struct Node *left;\n    struct Node *right;\n};\n\nint main() {\n    int N;\n    while (scanf(&quot;%d&quot;, &N) != EOF)\n    {\n        map&lt;int, int&gt;MAP;\n        vector&lt;int&gt;a;\n        for (int i = 0; i&lt;N; i++)\n        {\n            int tmp;\n            scanf(&quot;%d&quot;, &tmp);\n            a.push_back(tmp);\n        }\n        Node* sean = new Node();\n        sean-&gt;value = a[a.size()-1];\n        Node* root;\n        for(int i = N-2; i &gt;= 0; i--) {\n            root = sean;\n            Node* p = new Node();\n            p-&gt;value = a[i];\n            while(true) {\n                if(root-&gt;value &lt; a[i]) {\n                    if(root-&gt;right == nullptr) {\n                        MAP[a[i]] = root-&gt;value;\n                        root-&gt;right = p;\n                        break;\n                    } else {\n                        root = root-&gt;right;\n                    }\n                }\n                else if(root-&gt;value &gt; a[i]) {\n                    if(root-&gt;left == nullptr) {\n                        MAP[a[i]] = root-&gt;value;\n                        root-&gt;left = p;\n                        break;\n                    } \n                    else {\n                        root = root-&gt;left;\n                    }\n                }\n            }\n        }\n        MAP[a[a.size()-1]] = -1;\n        for (auto it:MAP)\n        {\n            printf(&quot;%d %d\\n&quot;, it.first, it.second);\n        }\n    }\n}\n\n\/\/ZeroJudge K652\n\/\/Dr. SeanXD<\/code><\/pre><\/div>\n","protected":false},"excerpt":{"rendered":"<p>\u4e8c\u5143\u6a39\u662f\u4e00\u500b\u6a39\u72c0\u7d50\u69cb\uff0c\u6a39\u4e0a\u6bcf\u500b\u7bc0\u9ede\u6700\u591a\u6709\u5169\u500b\u5206\u652f\uff0c\u5206\u652f\u88ab\u7a31\u70ba\u300c\u5de6\u5b50\u6a39\u300d\u548c\u300c\u53f3\u5b50\u6a39\u300d\u3002\u4e8c\u5143\u6a39\u7684\u5206\u652f\u5177\u6709\u5de6\u53f3\u6b21\u5e8f\uff0c [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"nf_dc_page":"","footnotes":""},"categories":[25],"tags":[14,27,20,26,9],"class_list":["post-113","post","type-post","status-publish","format-standard","hentry","category-ioi-apcs","tag-map","tag-struct","tag-20","tag-26","tag-9"],"blocksy_meta":[],"_links":{"self":[{"href":"https:\/\/seanxd.com\/en\/wp-json\/wp\/v2\/posts\/113","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/seanxd.com\/en\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/seanxd.com\/en\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/seanxd.com\/en\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/seanxd.com\/en\/wp-json\/wp\/v2\/comments?post=113"}],"version-history":[{"count":3,"href":"https:\/\/seanxd.com\/en\/wp-json\/wp\/v2\/posts\/113\/revisions"}],"predecessor-version":[{"id":122,"href":"https:\/\/seanxd.com\/en\/wp-json\/wp\/v2\/posts\/113\/revisions\/122"}],"wp:attachment":[{"href":"https:\/\/seanxd.com\/en\/wp-json\/wp\/v2\/media?parent=113"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/seanxd.com\/en\/wp-json\/wp\/v2\/categories?post=113"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/seanxd.com\/en\/wp-json\/wp\/v2\/tags?post=113"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}