{"id":999,"date":"2024-07-31T09:00:00","date_gmt":"2024-07-31T01:00:00","guid":{"rendered":"https:\/\/seanxd.com\/?p=999"},"modified":"2024-06-26T17:31:17","modified_gmt":"2024-06-26T09:31:17","slug":"zerojudge-g309","status":"publish","type":"post","link":"https:\/\/seanxd.com\/zh\/zerojudge-g309\/","title":{"rendered":"ZeroJudge G309: \u50b3\u905e\u676f\u5b50\u86cb\u7cd5(Cupcake)"},"content":{"rendered":"\n\n\n<p>\u5728\u52d5\u7269\u738b\u570b\u4e2d\uff0c\u70ba\u4e86\u5efa\u7acb\u826f\u597d\u7684\u50b3\u905e\u7db2\u8def\uff0c\u6bcf\u500b\u52d5\u7269\u90fd\u6703\u6709\u5de6\u53f3\u9700\u8981\u50b3\u6771\u897f\u7684\u4eba\uff0c\u6211\u5011\u7a31\u4e4b\u70ba\u300c\u5de6\u7bc0\u9ede\u300d\u548c\u300c\u53f3\u7bc0\u9ede\u300d\u3002<\/p>\n\n\n\n<p>\u5176\u4e2d\u6839\u7bc0\u9ede\u70ba\u52d5\u7269\u738b\u570b\u7684\u570b\u738b\uff0c\u5373\u52d5\u7269<sub>0<\/sub>\u3002\u7576\u52d5\u7269<sub>i\u00a0<\/sub>\u62ff\u5230 K \u500b\u6771\u897f\u5f8c\uff0c\u6703\u5c07\u6240\u62ff\u5230\u7684\u6771\u897f\u4ee5 (\u81ea\u5df1 + \u5b50\u7bc0\u9ede\u6578\u91cf) \u505a\u5747\u5206\uff0c\u5747\u5206\u5b8c\u7684\u7b49\u4efd\uff0c\u5206\u5225\u50b3\u905e\u7d66\u5176\u5de6\u7bc0\u9ede\u3001\u53f3\u7bc0\u9ede\u548c\u81ea\u5df1\u505a\u4fdd\u7559\uff1b\u82e5\u7121\u6cd5\u5747\u5206\u6642\uff0c\u5247\u6703\u5c07\u5269\u4e0b\u7684\u500b\u6578\u512a\u5148\u4fdd\u7559\u7d66\u81ea\u5df1\u3002<\/p>\n\n\n\n<p>\u5176\u5b50\u7bc0\u9ede\u5247\u7e7c\u7e8c\u9019\u500b\u904e\u7a0b\uff0c\u76f4\u5230\u6c92\u6709\u4efb\u4f55\u5b50\u7bc0\u9ede\u70ba\u6b62\u3002<\/p>\n\n\n\n<figure class=\"wp-block-image aligncenter size-full is-resized\"><img decoding=\"async\" width=\"484\" height=\"425\" loading=\"lazy\" src=\"https:\/\/seanxd.com\/wp-content\/uploads\/2024\/06\/image-4.png\" alt=\"ZeroJudge G309 \u984c\u76ee\u89e3\u8aaa\" class=\"wp-image-1000\" style=\"width:484px;height:auto\" srcset=\"https:\/\/seanxd.com\/wp-content\/uploads\/2024\/06\/image-4.png 484w, https:\/\/seanxd.com\/wp-content\/uploads\/2024\/06\/image-4-300x263.png 300w, https:\/\/seanxd.com\/wp-content\/uploads\/2024\/06\/image-4-14x12.png 14w, https:\/\/seanxd.com\/wp-content\/uploads\/2024\/06\/image-4-50x44.png 50w, https:\/\/seanxd.com\/wp-content\/uploads\/2024\/06\/image-4-100x88.png 100w\" sizes=\"auto, (max-width: 484px) 100vw, 484px\" \/><\/figure>\n\n\n\n<p>\u4ee5\u4e0a\u5716\u70ba\u4f8b\uff0c\u5047\u8a2d\u52d5\u7269<sub>0<\/sub>\u00a0\u62ff\u5230 9 \u500b\u6771\u897f\uff0c\u5247\u6703\u5176\u5747\u5206\u70ba\u4e09\u7b49\u4efd\u5f8c\uff0c<mark style=\"background-color:rgba(0, 0, 0, 0);color:#ff0000\" class=\"has-inline-color\">\u5c07\u5176\u4e2d 3 \u500b\u50b3\u7d66\u5de6\u908a\u7684\u52d5\u7269<sub>1<\/sub>\uff08\u5982\u7d05\u5b57\u6240\u793a\uff09<\/mark>\uff0c\u53e6\u5916 3 \u500b\u50b3\u7d66\u53f3\u908a\u7684\u52d5\u7269<sub>2<\/sub>\uff0c<mark style=\"background-color:#fffc00\" class=\"has-inline-color\">\u5269\u4e0b 3 \u500b\u5247\u81ea\u5df1\u4fdd\u7559<strong>\uff08\u87a2\u5149\u9ec3\u6240\u793a\uff09<\/strong><\/mark>\u3002<\/p>\n\n\n\n<p>\u4f9d\u5e8f\u540c\u7406\uff0c\u6700\u5f8c\u6bcf\u500b\u52d5\u7269\u6240\u80fd\u5920\u5f97\u5230\u7684\u7269\u54c1\u6578\u91cf\u5982\u87a2\u5149\u9ec3\u6240\u793a\u3002<\/p>\n\n\n\n<p>\u73fe\u5728\u5df2\u77e5\u6709 N \u500b\u52d5\u7269\uff0c\u4ee5\u53ca\u52d5\u7269\u9593\u7684\u5de6\u53f3\u7bc0\u9ede\u95dc\u4fc2\uff0c\u5047\u8a2d\u52d5\u7269\u570b\u7684\u570b\u738b\u52d5\u7269<sub>0\u00a0<\/sub>\u5f97\u5230\u4e86 K \u500b\u676f\u5b50\u86cb\u7cd5\uff0c\u8acb\u554f\u4f9d\u7167\u4e0a\u8ff0\u50b3\u905e\u898f\u5247\uff0c\u6bcf\u500b\u52d5\u7269\u6700\u5f8c\u5206\u5225\u53ef\u4ee5\u5f97\u5230\u5e7e\u500b\u676f\u5b50\u86cb\u7cd5\uff1f<\/p>\n\n\n\n<h2 class=\"wp-block-heading\">\u7bc4\u4f8b\u6e2c\u8cc7<\/h2>\n\n\n\n<figure class=\"wp-block-table\"><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\u884c\u6709\u5169\u500b\u6b63\u6574\u6578 N \u548c K\uff0c\u4ee3\u8868\u7e3d\u5171\u6709 N \u500b\u52d5\u7269 (1\u00a0\u2264 N\u00a0\u2264 10)\uff0c\u52d5\u7269\u7de8\u865f\u4f9d\u5e8f\u70ba 0\u30011\u3001&#8230;\u3001N-1\uff0c\u4e26\u4e14\u6709 K \u500b\u676f\u5b50\u86cb\u7cd5\u8981\u7531\u52d5\u7269<sub>0\u00a0<\/sub>\u958b\u59cb\u5f80\u4e0b\u50b3\u9001\u3002<br>\u00a0\u63a5\u8457\u4f9d\u5e8f\u6709 N \u884c\uff0c\u6bcf\u884c\u6709\u4e09\u500b\u6574\u6578 a (0 \u2264 a \u2264 N-1)\u3001L \u548c R<sub>\u00a0<\/sub>(-1 \u2264 L\u3001R\u00a0\u2264 N-1)\uff0c\u4ee3\u8868\u52d5\u7269<sub>a<\/sub>\u00a0\u7684\u5de6\u5b50\u7bc0\u9ede\u70ba L\uff0c\u53f3\u5b50\u7bc0\u9ede\u70ba R\uff0c\u5982\u679c\u6c92\u6709\u8a72\u5b50\u7bc0\u9ede\uff0c\u5247\u4ee5 -1 \u8868\u793a\uff1b\u4e26\u4e14\u52d5\u7269<sub>0<\/sub>\u00a0\u5fc5\u5b9a\u70ba\u6839\u7bc0\u9ede\u3002<\/td><td>\u7531\u5de6\u81f3\u53f3\uff0c\u5206\u5225\u5370\u51fa \u52d5\u7269<sub>0<\/sub>\u3001\u52d5\u7269<sub>1<\/sub>\u3001&#8230;\u3001\u52d5\u7269<sub>N-1<\/sub>\uff0c\u6700\u5f8c\u53ef\u5f97\u7684\u676f\u5b50\u86cb\u7cd5\u6578\u91cf\u3002<\/td><\/tr><tr><td>6 9<br>0 1 2<br>1 3 4<br>2 5 -1<br>3 -1 -1<br>4 -1 -1<br>5 -1 -1<\/td><td>3 1 2 1 1 1<\/td><\/tr><\/tbody><\/table><figcaption class=\"wp-element-caption\">ZeroJudge G309 \u7bc4\u4f8b\u6e2c\u8cc7<\/figcaption><\/figure>\n\n\n\n<h2 class=\"wp-block-heading\">\u89e3\u984c\u601d\u8def<\/h2>\n\n\n\n<p>\u53ef\u4ee5\u5ba3\u544a\u4e00\u500b map&lt;int, pair&lt;int, int>> MAP \u4f86\u7d00\u9304\u6bcf\u4e00\u500b\u7bc0\u9ede\u7684\u5de6\u53f3\u7bc0\u9ede\u662f\u4ec0\u9ebc\uff0c\u4e26\u4e14\u5ba3\u544a\u4e00\u500b map&lt;int, int>ans \u4f86\u5b58\u7b54\u6848\u3002<\/p>\n\n\n\n<p>\u8dd1\u4e00\u500b DFS\uff0c\u9700\u8981\u7684\u53c3\u6578\u662f\u76ee\u524d\u8981\u5206\u7684\u86cb\u7cd5\u6578\u91cf cake \u548c\u76ee\u524d\u7684\u7bc0\u9ede\u4f4d\u7f6e pos\u3002\u9810\u8a2d\u4e00\u500b\u8b8a\u6578 split \u70ba 1\uff0c\u4ee3\u8868\u9700\u8981\u5206\u86cb\u7cd5\u7d66\u591a\u5c11\u4eba\uff0c\u5982\u679c MAP[pos].first != -1\uff0c\u4ee3\u8868\u5de6\u908a\u6709\u4eba\uff0c\u6240\u4ee5 split++\uff0c\u540c\u6a23\u5982\u679c MAP[pos].second != -1 \u5c31\u4ee3\u8868\u53f3\u908a\u6709\u4eba\uff0c\u6240\u4ee5\u4e00\u6a23\u8981 split++\u3002\u5982\u679c split == 1 \uff0c\u4ee3\u8868\u5df2\u7d93\u4e0d\u6703\u7e7c\u7e8c\u5f80\u4e0b\u8d70\u4e86\uff0c\u5c07 ans[pos] \u8a2d\u70ba cake \u4e26\u4e14 return\u3002<\/p>\n\n\n\n<p>\u5982\u679c DFS \u8981\u7e7c\u7e8c\u5f80\u4e0b\u8d70\uff0c\u5247\u5ba3\u544a\u4e00\u500b\u8b8a\u6578 divide \u70ba cake\/split\uff0c\u4e26\u4e14\u5148\u5c07 ans[pos] \u8a2d\u70ba divide\u3002\u5982\u679c cake % split != 0\uff0c\u5247\u8981\u5c07\u591a\u9918\u7684\u5206\u7d66\u76ee\u524d\u4f4d\u7f6e\uff0c\u6240\u4ee5\u8981 ans[pos] += cake % split\u3002<\/p>\n\n\n\n<p>\u5982\u679c\u76ee\u524d\u4f4d\u7f6e\u5de6\u908a\u6709\u7bc0\u9ede\u7684\u8a71\u5c31\u547c\u53eb DFS\uff0c\u53ea\u662f\u86cb\u7cd5\u6578\u91cf\u8b8a\u6210 divide\uff0c\u4e26\u4e14\u76ee\u524d\u4f4d\u7f6e\u8b8a\u6210 MAP[pos].first\uff0c\u76f8\u540c\u9053\u7406\u4e5f\u7528\u5728\u53f3\u908a\u3002<\/p>\n\n\n\n<p>\u6700\u5f8c\u8dd1\u4e00\u500b For\u8ff4\u5708\uff0c\u5f9e 1 \u5230 N-1\uff0c\u5c07 ans \u4e2d\u7684\u8cc7\u6599\u8f38\u51fa\u3002<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">\u7bc4\u4f8b\u7a0b\u5f0f\u78bc\uff0d<a href=\"https:\/\/zerojudge.tw\/ShowProblem?problemid=g309\" target=\"_blank\" rel=\"noreferrer noopener\">ZeroJudge G309: \u50b3\u905e\u676f\u5b50\u86cb\u7cd5(Cupcake)<\/a><\/h3>\n\n\n\n<div class=\"hcb_wrap\"><pre class=\"prism line-numbers lang-cpp\" data-lang=\"C++\"><code>#include &lt;iostream&gt;\n#include &lt;map&gt;\nusing namespace std;\n\nmap&lt;int, pair&lt;int, int&gt;&gt;MAP;\nmap&lt;int, int&gt;ans;\n\nvoid DFS(const int cake, const int pos) {\n    int split = 1;\n    if (MAP[pos].first != -1) split++;\n    if (MAP[pos].second != -1) split++;\n    if (split == 1) {\n        ans[pos] = cake;\n        return;\n    }\n    const int divide = cake\/split;\n    ans[pos] = divide;\n    if (cake % split != 0) ans[pos] += cake % split;\n    if (MAP[pos].first != -1) DFS(divide, MAP[pos].first);\n    if (MAP[pos].second != -1) DFS(divide, MAP[pos].second);\n}\n\nint main() {\n    cin.sync_with_stdio(0);\n    cin.tie(0);\n    int N, K;\n    cin &gt;&gt; N &gt;&gt; K;\n    for (int i = 0; i&lt;N; i++) {\n        int a, l ,r;\n        cin &gt;&gt; a &gt;&gt; l &gt;&gt; r;\n        pair&lt;int, int&gt;tmp;\n        tmp.first = l;\n        tmp.second = r;\n        MAP[a] = tmp;\n    }\n    DFS(K, 0);\n    for (int i = 0; i&lt;N; i++) cout &lt;&lt; ans[i] &lt;&lt; &quot; &quot;;\n    cout &lt;&lt; &quot;\\n&quot;;\n}\n\n\/\/ZeroJudge G309\n\/\/Dr. SeanXD<\/code><\/pre><\/div>\n","protected":false},"excerpt":{"rendered":"<p>\u5728\u52d5\u7269\u738b\u570b\u4e2d\uff0c\u70ba\u4e86\u5efa\u7acb\u826f\u597d\u7684\u50b3\u905e\u7db2\u8def\uff0c\u6bcf\u500b\u52d5\u7269\u90fd\u6703\u6709\u5de6\u53f3\u9700\u8981\u50b3\u6771\u897f\u7684\u4eba\uff0c\u6211\u5011\u7a31\u4e4b\u70ba\u300c\u5de6\u7bc0\u9ede\u300d\u548c\u300c\u53f3\u7bc0\u9ede\u300d\u3002 \u5176 [&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":[6],"tags":[21,14,23,8,9],"class_list":["post-999","post","type-post","status-publish","format-standard","hentry","category-6","tag-dfs","tag-map","tag-pair","tag-8","tag-9"],"blocksy_meta":[],"_links":{"self":[{"href":"https:\/\/seanxd.com\/zh\/wp-json\/wp\/v2\/posts\/999","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/seanxd.com\/zh\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/seanxd.com\/zh\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/seanxd.com\/zh\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/seanxd.com\/zh\/wp-json\/wp\/v2\/comments?post=999"}],"version-history":[{"count":2,"href":"https:\/\/seanxd.com\/zh\/wp-json\/wp\/v2\/posts\/999\/revisions"}],"predecessor-version":[{"id":1002,"href":"https:\/\/seanxd.com\/zh\/wp-json\/wp\/v2\/posts\/999\/revisions\/1002"}],"wp:attachment":[{"href":"https:\/\/seanxd.com\/zh\/wp-json\/wp\/v2\/media?parent=999"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/seanxd.com\/zh\/wp-json\/wp\/v2\/categories?post=999"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/seanxd.com\/zh\/wp-json\/wp\/v2\/tags?post=999"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}