{"id":348,"date":"2024-04-28T11:33:24","date_gmt":"2024-04-28T03:33:24","guid":{"rendered":"https:\/\/seanxd.com\/?p=348"},"modified":"2024-04-28T11:33:26","modified_gmt":"2024-04-28T03:33:26","slug":"zerojudge-a249","status":"publish","type":"post","link":"https:\/\/seanxd.com\/zh\/zerojudge-a249\/","title":{"rendered":"ZeroJudge A249: Dropping Balls"},"content":{"rendered":"\n\n\n<h4 class=\"wp-block-heading\">\u540c\u984c\uff1aUVa 00679 &#8211; Dropping Balls<\/h4>\n\n\n\n<p class=\"\">\u6709 K \u500b\u7403\u5f9e\u4e00\u5b8c\u6574\u4e8c\u5143\u6a39 (Fully Binary Tree\uff0cFBT) \u7684\u6a39\u6839 (Root) \u4e00\u500b\u4e00\u500b\u5f80\u4e0b\u6389\u3002\u7576\u9019\u500b\u7403\u9047\u5230\u975e\u7d42\u7aef\u7bc0\u9ede\u6642\uff0c\u53ef\u80fd\u5f80\u5de6\u5b50\u6a39\u8dd1\uff0c\u4e5f\u53ef\u80fd\u5f80\u53f3\u5b50\u6a39\u8dd1\uff0c\u5982\u6b64\u76f4\u5230\u9019\u9846\u7403\u5230\u9054\u7d42\u7aef\u7bc0\u9ede (\u4e5f\u5c31\u662f\u6a39\u8449) \u70ba\u6b62\u3002\u81f3\u65bc\u5728\u975e\u7d42\u7aef\u7bc0\u9ede\u6642\u7403\u8a72\u5f80\u5de6\u6216\u5f80\u53f3\u7684\u6c7a\u5b9a\u4e43\u662f\u75312\u500b\u503c true, false \u4f86\u63a7\u5236\u7684\u3002<\/p>\n\n\n\n<p class=\"\">\u5982\u679c\u9019\u975e\u7d42\u7aef\u7bc0\u9ede\u7684\u73fe\u5728\u7684\u503c\u70ba false\uff0c\u5247\u7403\u4f86\u7684\u6642\u5019\u6703\u5f80\u5de6\u5b50\u6a39\u8d70\uff0c\u4f46\u662f\u9019\u500b\u503c\u6703\u8b8a\u70ba true\u3002\u5982\u679c\u9019\u975e\u7d42\u7aef\u7bc0\u9ede\u7684\u73fe\u5728\u7684\u503c\u70ba true\uff0c\u5247\u7403\u4f86\u7684\u6642\u5019\u6703\u5f80\u53f3\u5b50\u6a39\u8d70\uff0c\u4f46\u662f\u9019\u500b\u503c\u6703\u8b8a\u70ba false\u3002<\/p>\n\n\n\n<p class=\"\">\u8acb\u6ce8\u610f\uff1a<strong>\u4e00\u958b\u59cb\u6642\u6240\u6709\u975e\u7d42\u7aef\u7bc0\u9ede\u7684\u503c\u5747\u70ba false<\/strong>\u3002\u53e6\u5916\uff0c\u5728\u5b8c\u6574\u4e8c\u5143\u6a39\u4e2d\u6240\u6709\u7684\u7bc0\u9ede\u88ab\u4f9d\u5e8f\u7de8\u865f\uff0c\u5f9e\u4e0a\uff08\u6df1\u5ea6 = 1\uff09\u5230\u4e0b\uff0c\u7531\u5de6\u5230\u53f3\u3002\u8acb\u53c3\u8003\u4e0b\u5716\u3002<\/p>\n\n\n\n<figure class=\"wp-block-image aligncenter size-full nfd-wb-animate nfd-wb-zoom-in-short\"><img decoding=\"async\" width=\"516\" height=\"207\" loading=\"lazy\" src=\"https:\/\/seanxd.com\/wp-content\/uploads\/2024\/04\/Dropping-Balls.gif\" alt=\"ZeroJudge A249\n\u984c\u76ee\u89e3\u8aaa\u7528\u5716\" class=\"wp-image-349\"\/><\/figure>\n\n\n\n<p class=\"\">\u8209\u4f8b\u4f86\u8aaa\uff0c\u4e0a\u9762\u7684\u5716\u70ba\u6df1\u5ea6\u70ba 4 \u7684\u5b8c\u6574\u4e8c\u5143\u6a39\u3002\u7b2c\u4e00\u9846\u7403\u5f80\u4e0b\u6389\u6703\u7d93\u904e\u7bc0\u9ede 1\u30012\u30014 \u6700\u5f8c\u843d\u5728\u7bc0\u9ede 8 \u4e2d\u3002\u7b2c\u4e8c\u9846\u7403\u5f80\u4e0b\u6389\u5247\u6703\u7d93\u904e\u7bc0\u9ede 1\u30013\u30016 \u6700\u5f8c\u843d\u5728\u7bc0\u9ede 12 \u4e2d\u3002\u7b2c\u4e09\u9846\u7403\u5f80\u4e0b\u6389\u6703\u7d93\u904e\u7bc0\u9ede 1\u30012\u30015 \u6700\u5f8c\u843d\u5728\u7bc0\u9ede 10 \u4e2d\u3002<\/p>\n\n\n\n<p class=\"\">\u7d66\u4f60\u5b8c\u6574\u4e8c\u5143\u6a39\u7684\u6df1\u5ea6 D \u4ee5\u53ca\u843d\u4e0b\u7684\u7b2c I \u500b\u7403\uff0c\u8acb\u4f60\u5beb\u4e00\u500b\u7a0b\u5f0f\u7b97\u51fa\u7b2cI\u500b\u7403\u843d\u5728\u7d42\u7aef\u7bc0\u9ede\u7684\u7de8\u865f\u3002<\/p>\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>\u8f38\u5165\u7684\u7b2c\u4e00\u5217\u6709\u4e00\u500b\u6574\u6578\uff0c\u4ee3\u8868\u4ee5\u4e0b\u6709\u5e7e\u7d44\u6e2c\u8a66\u8cc7\u6599\u3002<br>\u6bcf\u7d44\u6e2c\u8a66\u8cc7\u6599\u4e00\u5217\u67092\u500b\u6574\u6578 D \u548c I (2 &lt;= D &lt;= 20, 1 &lt;= I &lt;= 524288\uff09\u3002<\/td><td>\u5c0d\u6bcf\u7d44\u6e2c\u8a66\u8cc7\u6599\u8f38\u51fa\u4e00\u5217\uff0c\u7b2c I \u500b\u7403\u843d\u5728\u7d42\u7aef\u7bc0\u9ede\u7684\u7de8\u865f\u3002<\/td><\/tr><tr><td>5<br>4  2<br>3  4<br>10  1<br>2  2<br>8  128<\/td><td>12<br>7<br>512<br>3<br>255<\/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=\"\">\u8dd1\u4e00\u500b D \u7684 For\u8ff4\u5708\uff0c\u7576 L \u662f\u5076\u6578\u6642\u5c31\u662f\u5f80\u53f3\u8d70 (\u76ee\u524d\u4f4d\u7f6e*2+1)\uff0c\u7136\u5f8c L\/=2\u3002\u5982\u679c L \u662f\u5947\u6578\u7684\u8a71\u5c31\u662f\u5f80\u5de6\u8d70 (\u76ee\u524d\u4f4d\u7f6e*2)\uff0c\u7136\u5f8c L = L\/2+1\u3002\u8f38\u51fa\u6700\u5f8c\u7684\u4f4d\u7f6e\u5373\u53ef\u3002<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">\u7bc4\u4f8b\u7a0b\u5f0f\u78bc\uff0d<a href=\"https:\/\/zerojudge.tw\/ShowProblem?problemid=a249\" target=\"_blank\" rel=\"noopener\">ZeroJudge A249: Dropping Balls<\/a><\/h3>\n\n\n\n<div class=\"hcb_wrap nfd-wb-animate nfd-wb-reveal-right nfd-delay-50\"><pre class=\"prism line-numbers lang-cpp\" data-lang=\"C++\"><code>#include &lt;iostream&gt;\nusing namespace std;\n\nint main() {\n    cin.sync_with_stdio(0);\n    cin.tie(0);\n    int N;\n    cin &gt;&gt; N;\n    for (int i = 0; i&lt;N; i++)\n    {\n        int D, L;\n        cin &gt;&gt; D &gt;&gt; L;\n        int pos = 1;\n        for (int j = 0; j&lt;D; j++)\n        {\n            if (L % 2 == 0)\n            {\n                L \/= 2;\n                pos = (pos*2)+1;\n            }\n            else\n            {\n                L = (L\/2)+1;\n                pos *= 2;\n            }\n        }\n        cout &lt;&lt; pos\/2 &lt;&lt; &quot;\\n&quot;;\n    }\n}\n\n\/\/ZeroJudge A249\n\/\/Dr. SeanXD<\/code><\/pre><\/div>\n","protected":false},"excerpt":{"rendered":"<p>\u540c\u984c\uff1aUVa 00679 &#8211; Dropping Balls \u6709 K \u500b\u7403\u5f9e\u4e00\u5b8c\u6574\u4e8c\u5143\u6a39 (Full [&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":[18],"tags":[8,13,9],"class_list":["post-348","post","type-post","status-publish","format-standard","hentry","category-uva","tag-8","tag-13","tag-9"],"blocksy_meta":[],"_links":{"self":[{"href":"https:\/\/seanxd.com\/zh\/wp-json\/wp\/v2\/posts\/348","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=348"}],"version-history":[{"count":1,"href":"https:\/\/seanxd.com\/zh\/wp-json\/wp\/v2\/posts\/348\/revisions"}],"predecessor-version":[{"id":350,"href":"https:\/\/seanxd.com\/zh\/wp-json\/wp\/v2\/posts\/348\/revisions\/350"}],"wp:attachment":[{"href":"https:\/\/seanxd.com\/zh\/wp-json\/wp\/v2\/media?parent=348"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/seanxd.com\/zh\/wp-json\/wp\/v2\/categories?post=348"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/seanxd.com\/zh\/wp-json\/wp\/v2\/tags?post=348"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}