{"id":967,"date":"2024-07-27T09:00:00","date_gmt":"2024-07-27T01:00:00","guid":{"rendered":"https:\/\/seanxd.com\/?p=967"},"modified":"2024-06-21T11:28:27","modified_gmt":"2024-06-21T03:28:27","slug":"zerojudge-i791","status":"publish","type":"post","link":"https:\/\/seanxd.com\/zh\/zerojudge-i791\/","title":{"rendered":"ZeroJudge I791: \u6c92\u6709\u4eba\u53d7\u50b7\u7684\u4e16\u754c\u5b8c\u6210\u4e86"},"content":{"rendered":"\n\n\n<p>\u4f60\u6709 N \u500b\u79ae\u7269\u548c K \u500b\u597d\u53cb\uff0c<br>\u5c0d\u65bc\u9019 N \u500b\u79ae\u7269\uff0c\u6bcf\u500b\u79ae\u7269\u90fd\u64c1\u6709\u6240\u5c6c\u79ae\u7269\u985e\u5225 C<sub>i<\/sub><\/p>\n\n\n\n<p>\u70ba\u4e86\u907f\u514d\u670b\u53cb\u9593\u56e0\u5206\u914d\u4e0d\u5747\uff0c\u4e92\u76f8\u6bd4\u8f03\u800c\u53d7\u50b7\u5bb3\uff0c<br>\u4f60\u6c7a\u5b9a\u5c07\u9019 N \u500b\u79ae\u7269\u4f9d\u7167\u985e\u5225\uff0c\u5c0d\u65bc\u6bcf\u7a2e\u985e\u5225\u76e1\u53ef\u80fd\u5730\u5e73\u5747\u5206\u914d\u3002<br>\u4e5f\u5c31\u662f\u5c0d\u65bc\u6bcf\u7a2e\u985e\u5225\u7684\u79ae\u7269\uff0c\u90fd\u53ea\u6703\u53d6 K \u7684\u6574\u6578\u500d\u6578\u91cf\u505a\u5206\u914d\u3002<\/p>\n\n\n\n<p>\u8209\u4f8b\u4f86\u8aaa\uff0c\u5047\u8a2d N = 12, K = 3\uff0c<br>N \u500b\u79ae\u7269\u6240\u5c6c\u985e\u5225\u5206\u5225\u70ba {1, 8, 8, 4, 8, 8, 4, 1, 8, 4, 8, 8}<br>\u8a08\u7b97\u5f8c\u5171\u6709 2 \u500b (\u985e\u5225 1) \u7684\u79ae\u7269\u30013 \u500b (\u985e\u5225 4) \u7684\u79ae\u7269\u30017 \u500b (\u985e\u5225 8) \u7684\u79ae\u7269<\/p>\n\n\n\n<p>\u5c0d\u65bc\u4e09\u500b\u4eba\uff0c\u6bcf\u4eba\u6700\u591a\u53ef\u4ee5\u5206\u5230\uff0c<br>0 \u500b (\u985e\u5225 1) \u7684\u79ae\u7269\u30011 \u500b (\u985e\u5225 4) \u7684\u79ae\u7269\u30012 \u500b (\u985e\u5225 8) \u7684\u79ae\u7269<br>\u4e5f\u5c31\u662f\u6bcf\u4eba\u6700\u591a\u53ef\u5206\u5230 0 + 1 + 2 = 3 \u500b\u79ae\u7269<\/p>\n\n\n\n<p>\u7d66\u5b9a N, K \u548c\u79ae\u7269\u985e\u5225\u5e8f\u5217 {C<sub>0<\/sub>, C<sub>1<\/sub>, \u2026, C<sub>N-1<\/sub>}<br>\u5728\u4e0d\u50b7\u5bb3\u4efb\u4f55\u4eba\u7684\u60c5\u6cc1\u4e0b\uff0c\u8acb\u5354\u52a9\u8a08\u7b97\u6bcf\u4eba\u6700\u591a\u53ef\u4ee5\u5206\u5230\u5e7e\u500b\u79ae\u7269?<\/p>\n\n\n\n<p>\u5c31\u9019\u6a23\uff0c\u6c92\u6709\u4eba\u53d7\u50b7 (\u53ea\u6709\u4f60\u7684\u8166\u529b\u53d7\u50b7) \u7684\u4e16\u754c\u5b8c\u6210\u4e86<\/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, K\uff0c\u4ee3\u8868\u79ae\u7269\u7e3d\u6578\u548c\u597d\u53cb\u6578\u91cf\u3002<br>1 \u2264 N \u2264 106<br>1 \u2264 K \u2264 max(2, N\/50)<br>\u7b2c\u4e8c\u884c\u7531\u5de6\u81f3\u53f3\u6709 N \u500b\u6574\u6578 C<sub>i<\/sub>\uff0c\u4ee3\u8868\u79ae\u7269\u6240\u5c6c\u985e\u5225\u3002<br>0 \u2264 C<sub>i<\/sub> \u2264 100<\/td><td>\u5728\u5e73\u5747\u5206\u914d\u4e0b\uff0c\u6bcf\u4eba\u6700\u591a\u53ef\u4ee5\u5206\u5230\u7684\u79ae\u7269\u6578\u91cf\u3002<\/td><\/tr><tr><td>12 3<br>1 8 8 4 8 8 4 1 8 4 8 8<\/td><td>3<\/td><\/tr><tr><td>8 2<br>99 7 7 7 99 50 50 7<\/td><td>4<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<h2 class=\"wp-block-heading\">\u89e3\u984c\u601d\u8def<\/h2>\n\n\n\n<p>\u4f7f\u7528 map&lt;int, int> \u4f86\u7d00\u9304\u6bcf\u4e00\u7a2e\u79ae\u7269\u51fa\u73fe\u7684\u6b21\u6578\uff0c\u9019\u908a\u547d\u540d\u70ba MAP\u3002\u4e4b\u5f8c\u8dd1\u4e00\u500b for (auto it:MAP)\uff0c\u4e26\u5ba3\u544a\u4e00\u500b\u8b8a\u6578 ans \u9810\u8a2d\u70ba 0\uff0c\u4e26\u4e14\u6bcf\u4e00\u6b21\u5c07 ans += it.second\uff0fK\u3002<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">\u7bc4\u4f8b\u7a0b\u5f0f\u78bc\uff0d<a href=\"https:\/\/zerojudge.tw\/ShowProblem?problemid=i791\" target=\"_blank\" rel=\"noreferrer noopener\">ZeroJudge I791: \u6c92\u6709\u4eba\u53d7\u50b7\u7684\u4e16\u754c\u5b8c\u6210\u4e86<\/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\nint main() {\n    cin.sync_with_stdio(0);\n    cin.tie(0);\n    int N, K, ans = 0;\n    cin &gt;&gt; N &gt;&gt; K;\n    map&lt;int, int&gt;MAP;\n    for (int i = 0; i&lt;N; i++) {\n        int tmp;\n        cin &gt;&gt; tmp;\n        MAP[tmp]++;\n    }\n    for (auto it:MAP) {\n        ans += it.second \/ K;\n    }\n    cout &lt;&lt; ans &lt;&lt; &quot;\\n&quot;;\n}\n\n\/\/ZeroJudge I791\n\/\/Dr. SeanXD<\/code><\/pre><\/div>\n","protected":false},"excerpt":{"rendered":"<p>\u4f60\u6709 N \u500b\u79ae\u7269\u548c K \u500b\u597d\u53cb\uff0c\u5c0d\u65bc\u9019 N \u500b\u79ae\u7269\uff0c\u6bcf\u500b\u79ae\u7269\u90fd\u64c1\u6709\u6240\u5c6c\u79ae\u7269\u985e\u5225 Ci \u70ba\u4e86\u907f\u514d\u670b\u53cb\u9593\u56e0\u5206\u914d\u4e0d\u5747 [&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":[29],"tags":[14,23,9],"class_list":["post-967","post","type-post","status-publish","format-standard","hentry","category-zerojudge-","tag-map","tag-pair","tag-9"],"blocksy_meta":[],"_links":{"self":[{"href":"https:\/\/seanxd.com\/zh\/wp-json\/wp\/v2\/posts\/967","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=967"}],"version-history":[{"count":1,"href":"https:\/\/seanxd.com\/zh\/wp-json\/wp\/v2\/posts\/967\/revisions"}],"predecessor-version":[{"id":968,"href":"https:\/\/seanxd.com\/zh\/wp-json\/wp\/v2\/posts\/967\/revisions\/968"}],"wp:attachment":[{"href":"https:\/\/seanxd.com\/zh\/wp-json\/wp\/v2\/media?parent=967"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/seanxd.com\/zh\/wp-json\/wp\/v2\/categories?post=967"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/seanxd.com\/zh\/wp-json\/wp\/v2\/tags?post=967"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}