{"id":531,"date":"2024-06-03T09:00:00","date_gmt":"2024-06-03T01:00:00","guid":{"rendered":"https:\/\/seanxd.com\/?p=531"},"modified":"2024-06-23T23:19:08","modified_gmt":"2024-06-23T15:19:08","slug":"zerojudge-h084","status":"publish","type":"post","link":"https:\/\/seanxd.com\/zh\/zerojudge-h084\/","title":{"rendered":"ZeroJudge H084: \u7246\u4e0a\u6d77\u5831"},"content":{"rendered":"\n\n\n<p>\u6709\u4e00\u500b\u7531&nbsp;N&nbsp;\u500b\u6728\u677f\u6240\u7d44\u6210\u7684\u67f5\u6b04\uff0c\u6bcf\u500b\u6728\u677f\u7684\u9ad8\u5ea6\u70ba&nbsp;H<sub>1<\/sub>, H<sub>2<\/sub>, &#8230;, H<sub>N<\/sub>\uff0c\u6709&nbsp;K&nbsp;\u5f35\u6d77\u5831\u8981\u5f35\u8cbc\u5728\u67f5\u6b04\u4e0a\uff0c\u6bcf\u5f35\u6d77\u5831\u7684\u5bec\u5ea6\u70ba&nbsp;W<sub>1<\/sub>, W<sub>2<\/sub>, \u22ef, W<sub>N<\/sub>&nbsp;\u4e26\u4e14\u9ad8\u5ea6\u5747\u70ba&nbsp;1\u3002<\/p>\n\n\n\n<p>\u82e5\u8981\u5f35\u8cbc\u6d77\u5831\u5728\u9ad8\u5ea6\u70ba&nbsp;X&nbsp;\u7684\u9ad8\u5ea6\uff0c\u5247\u7b2c&nbsp;\ud835\udc56&nbsp;\u5f35\u6d77\u5831\u9700\u8981\u5f35\u8cbc\u5728\u4e00\u500b\u9577\u5ea6\u70ba&nbsp;W<sub>i<\/sub> \u7684\u9023\u7e8c\u4e26\u4e14\u9ad8\u5ea6\u90fd\u4e0d\u5c0f\u65bc X \u7684\u6728\u677f\u4e0a\uff0c\u4e14\u6bcf\u5f35\u6d77\u5831\u5f35\u8cbc\u7684\u9ad8\u5ea6\u9700\u8981\u4e00\u81f4\u3001\u6309\u7167\u9806\u5e8f\u4e26\u4e0d\u80fd\u91cd\u758a (\u53ef\u4ee5\u76f8\u9023)\u3002\u8a62\u554f\u6700\u9ad8\u53ef\u4ee5\u8cbc\u5230\u591a\u9ad8\u7684\u4f4d\u7f6e\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>\u7b2c\u4e00\u884c\u6709\u5169\u500b\u6b63\u6574\u6578&nbsp;N \u548c K\uff0c\u63a5\u4e0b\u4f86\u4e00\u884c\u6709&nbsp;<br>N \u500b\u6b63\u6574\u6578\u4ee3\u8868\u6bcf\u500b\u6728\u677f\u7684\u9ad8\u5ea6\uff0c\u6700\u5f8c\u4e00\u884c\u6709&nbsp;K \u500b\u6b63\u6574\u6578\u4ee3\u8868\u6bcf\u5f35\u6d77\u5831\u7684\u5bec\u5ea6\u3002<\/td><td>\u8f38\u51fa\u6700\u5927\u53ef\u4ee5\u5f35\u8cbc\u7684\u9ad8\u5ea6\u3002<\/td><\/tr><tr><td>5 1<br>6 3 7 5 1<br>3<\/td><td>3<\/td><\/tr><tr><td>10 3<br>5 3 7 5 1 7 5 3 8 4<br>2 2 1<\/td><td>5<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<h3 class=\"wp-block-heading\">\u7bc4\u4f8b\u6e2c\u8cc7\u5716\u6587\u89e3\u8aaa<\/h3>\n\n\n\n<p>\u7bc4\u4f8b\u6e2c\u8cc7 2\uff1a<\/p>\n\n\n\n<figure class=\"wp-block-image aligncenter size-full is-resized\"><img decoding=\"async\" width=\"695\" height=\"400\" loading=\"lazy\" src=\"https:\/\/seanxd.com\/wp-content\/uploads\/2024\/05\/Wall-Newspaper-Image.png\" alt=\"ZeroJudge H084 \u7bc4\u4f8b\u6e2c\u8cc7\u5716\u6587\u89e3\u8aaa\" class=\"wp-image-532\" style=\"width:497px;height:auto\" srcset=\"https:\/\/seanxd.com\/wp-content\/uploads\/2024\/05\/Wall-Newspaper-Image.png 695w, https:\/\/seanxd.com\/wp-content\/uploads\/2024\/05\/Wall-Newspaper-Image-300x173.png 300w\" sizes=\"auto, (max-width: 695px) 100vw, 695px\" \/><\/figure>\n\n\n\n<p>\u67f5\u6b04\u9577\u76f8\u5982\u4e0a\u5716\uff0c\u4e09\u5f35\u6d77\u5831 (\u5bec\u5ea6\u70ba 2, 2, 1) \u53ef\u4ee5\u8cbc\u5728\u9ad8\u5ea6\u70ba\u00a05\u00a0\u7684\u9ad8\u5ea6\u3002<\/p>\n\n\n\n<h2 class=\"wp-block-heading\">\u89e3\u984c\u601d\u8def<\/h2>\n\n\n\n<p>\u5c07\u6240\u6709\u7684\u9ad8\u5ea6\u90fd\u5b58\u653e\u5230\u4e00\u500b\u9663\u5217\u4e2d\uff0c\u88e1\u9762\u4e0d\u80fd\u6709\u91cd\u8907\u7684\u9ad8\u5ea6\u3002\u9032\u884c\u6392\u5e8f\u5f8c\u4f7f\u7528\u4e8c\u5206\u641c\u5c0b\u6cd5\u53bb\u53d6\u51fa\u73fe\u5728\u8981\u5224\u65b7\u7684\u9ad8\u5ea6\u3002<\/p>\n\n\n\n<p>\u53d6\u5230\u73fe\u5728\u8981\u5224\u65b7\u7684\u9ad8\u5ea6\u5f8c\uff0c\u5148\u5f9e\u7b2c\u4e00\u584a\u6d77\u5831\u958b\u59cb\u5224\u65b7\uff0c\u5982\u679c\u6709\u9023\u7e8c\u4e14\u9ad8\u5ea6 &gt;= \u5224\u65b7\u9ad8\u5ea6\u7684\u6728\u677f\uff0c\u5247\u4ee3\u8868\u9019\u584a\u6d77\u5831\u653e\u5f97\u4e0a\u53bb\uff0c\u5f9e\u4e0b\u4e00\u584a\u6728\u677f\u958b\u59cb\u5224\u65b7\u4e0b\u4e00\u5f35\u6d77\u5831\u3002\u5982\u679c\u653e\u4e0d\u4e0a\u53bb\u7684\u8a71\u5c31\u662f\u5f9e\u4e0b\u4e00\u584a\u6728\u677f\u958b\u59cb\u5224\u65b7\u76ee\u524d\u9019\u5f35\u6d77\u5831\u3002<\/p>\n\n\n\n<p>\u5982\u679c\u6240\u6709\u6d77\u5831\u90fd\u80fd\u653e\u5230\u76ee\u524d\u7684\u9ad8\u5ea6\uff0c\u5c31\u5148\u5c07\u76ee\u524d\u7684\u9ad8\u5ea6\u8a2d\u5b9a\u70ba ans\uff0c\u4e26\u4e14\u4e0b\u4e00\u6b21\u7684\u4e8c\u5206\u641c\u5c0b\u5f80\u53f3\u908a\u627e\uff0c\u53cd\u4e4b\u5c31\u5f80\u5de6\u908a\u627e\u3002\u7576\u4e8c\u5206\u641c\u5c0b\u7d42\u6b62\u6642\u9700\u8981\u518d\u5224\u65b7\u4e00\u6b21\u6700\u9ad8\u9ad8\u5ea6\u7684\u6728\u677f\u662f\u5426\u53ef\u4ee5\u653e\u5f97\u4e0b\u6d77\u5831\u56e0\u70ba\u4e8c\u5206\u641c\u4e0d\u6703\u8dd1\u5230\u6700\u5f8c\u4e00\u500b\u4f4d\u7f6e\u3002<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">\u7bc4\u4f8b\u7a0b\u5f0f\u78bc\uff0d<a href=\"https:\/\/zerojudge.tw\/ShowProblem?problemid=h084\" target=\"_blank\" rel=\"noreferrer noopener\">ZeroJudge H084: \u7246\u4e0a\u6d77\u5831<\/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;\n#include &lt;vector&gt;\n#include &lt;algorithm&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;\n    vector&lt;int&gt;num, height, poster;\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    {\n        int tmp;\n        cin &gt;&gt; tmp;\n        num.push_back(tmp);\n        if (MAP[tmp] == 0) height.push_back(tmp);\n        MAP[tmp]++;\n    }\n    for (int i = 0; i&lt;K; i++)\n    {\n        int tmp;\n        cin &gt;&gt; tmp;\n        poster.push_back(tmp);\n    }\n    sort(height.begin(), height.end());\n    int L = 0, R = int(height.size())-1, count = 0, ans = 1;\n    while (true)\n    {\n        if (L &gt;= R) break;\n        count = 0;\n        int query = height[(L+R)\/2];\n        for (int i = 0; i&lt;N; i++)\n        {\n            if (num[i] &gt;= query)\n            {\n                bool ok = true;\n                if (i+poster[count] &gt; N) continue;\n                int j = i;\n                for (j = i; j&lt;i+poster[count]; j++)\n                {\n                    if (num[j] &lt; query)\n                    {\n                        ok = false;\n                        i = j;\n                        break;\n                    }\n                }\n                if (ok)\n                {\n                    count++;\n                    i = j-1;\n                }\n            }\n        }\n        if (count &gt;= K)\n        {\n            L = ((L+R)\/2)+1;\n            ans = query;\n        }\n        else R = ((L+R)\/2);\n    }\n    int query = height[int(height.size())-1];\n    count = 0;\n    for (int i = 0; i&lt;N; i++)\n    {\n        if (num[i] &gt;= query)\n        {\n            bool ok = true;\n            if (i+poster[count] &gt; N) continue;\n            int j = i;\n            for (j = i; j&lt;i+poster[count]; j++)\n            {\n                if (num[j] &lt; query)\n                {\n                    ok = false;\n                    i = j;\n                    break;\n                }\n            }\n            if (ok)\n            {\n                count++;\n                i = j;\n            }\n        }\n    }\n    if (count &gt;= K) ans = query;\n    cout &lt;&lt; ans &lt;&lt; &quot;\\n&quot;;\n    \n}\n\n\/\/ZeroJudge H084\n\/\/Dr. SeanXD<\/code><\/pre><\/div>\n","protected":false},"excerpt":{"rendered":"<p>\u6709\u4e00\u500b\u7531&nbsp;N&nbsp;\u500b\u6728\u677f\u6240\u7d44\u6210\u7684\u67f5\u6b04\uff0c\u6bcf\u500b\u6728\u677f\u7684\u9ad8\u5ea6\u70ba&nbsp;H1, H2, &#038;#8230 [&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":[14,20,8,34,19,13,9],"class_list":["post-531","post","type-post","status-publish","format-standard","hentry","category-ioi-apcs","tag-map","tag-20","tag-8","tag-34","tag-19","tag-13","tag-9"],"blocksy_meta":[],"_links":{"self":[{"href":"https:\/\/seanxd.com\/zh\/wp-json\/wp\/v2\/posts\/531","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=531"}],"version-history":[{"count":2,"href":"https:\/\/seanxd.com\/zh\/wp-json\/wp\/v2\/posts\/531\/revisions"}],"predecessor-version":[{"id":980,"href":"https:\/\/seanxd.com\/zh\/wp-json\/wp\/v2\/posts\/531\/revisions\/980"}],"wp:attachment":[{"href":"https:\/\/seanxd.com\/zh\/wp-json\/wp\/v2\/media?parent=531"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/seanxd.com\/zh\/wp-json\/wp\/v2\/categories?post=531"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/seanxd.com\/zh\/wp-json\/wp\/v2\/tags?post=531"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}