{"id":5,"date":"2025-03-26T20:05:07","date_gmt":"2025-03-26T12:05:07","guid":{"rendered":"http:\/\/120.76.99.214\/?p=5"},"modified":"2025-11-24T16:44:01","modified_gmt":"2025-11-24T08:44:01","slug":"%e8%af%a6%e8%a7%a3%e4%ba%8c%e5%88%86","status":"publish","type":"post","link":"https:\/\/www.tgwttt.xyz\/?p=5","title":{"rendered":"\u8be6\u89e3\u4e8c\u5206"},"content":{"rendered":"\n<p>\u716e\u5575\u6700\u8fd1\u5728\u84dd\u6865\u676f\u5237\u9898\uff0c\u9047\u5230\u4e00\u4e2a\u7b80\u5355\u7684\u9898\u76ee<br><br>\u8fd9\u4e2a\u9898\u76ee\uff0c\u6709\u70b9\u57fa\u7840\u7684\u5144\u5f1f\u90fd\u662f\u77e5\u9053\u662f\u4e8c\u5206\uff0c\u716e\u5575\u867d\u7136\u83dc\u4f46\u4e5f\u662f\u4e00\u773c\u770b\u51fa\u6765\u4e86\uff0c\u5e76\u4e00\u773c\u770b\u51fa\u6765\u4e86\uff0c\u4f46\u662f\u5c31\u662f\u4e0d\u80fdAC\uff0c\u4e8e\u662f\u716e\u5575\u5c31\u8c03\u8bd5\u4e86\u4e00\u8282\u8bfe\uff0c\u7ec8\u4e8e\u4e5f\u662f\u8ba9\u6211\u53d1\u73b0\u4e86\u95ee\u9898\uff0c\u5e76\u4e0a\u7f51\u67e5\u4e86\u4e00\u4e0b\uff0c\u73b0\u5728\u628a\u6211\u8e29\u8fc7\u7684\u5751\u5206\u4eab\u7ed9\u5144\u5f1f\u4eec\uff0c\u9996\u5148\u89c2\u5bdf\u9898\u76ee\uff0c\u5f88\u7b80\u5355\u770b\u51fa\u6765\u7528\u4e24\u4e2a\u4e8c\u5206\u5c31\u6c42\u51fa\u6700\u5927\u503c\u548c\u6700\u5c0f\u503c\u4e86\uff0c\u4f46\u662f\u4e8c\u5206\u7684\u65b9\u5f0f\u6709\u4e24\u79cd\uff0c\u4e00\u79cd\u662f\u6c42\u540e\u7ee7\u8282\u70b9\u548c\u524d\u7ee7\u8282\u70b9\uff0c\u987e\u540d\u601d\u4e49\uff0c\u540e\u7ee7\u7ed3\u70b9\u5c31\u662f\u5f53\u6c42\u4e0d\u5230\u5f53\u524d\u8282\u70b9\u65f6\u8fd4\u56de\u540e\u9762\u7684\u503c\uff0c\u524d\u7ee7\u8282\u70b9\u53cd\u4e4b\uff0c\u4e24\u8005\u7f16\u7801\u4e5f\u6709\u6240\u4e0d\u540c<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>\u540e\u7ee7\uff1awhile (l < r) {\n\t\tmid = l + (r - l) \/ 2;\n\t\tif (!check()) {\n\t\t\tl = mid+1;\n\t\t}\n\t\telse {\n\t\t\tr = mid;\n\t\t}\n\u524d\u7ee7\uff1awhile (l < r) {\n\t\tmid = l + (r - l+1) \/ 2;\n\t\tif (!check1()) {\n\t\t\tr = mid-1;\n\t\t}\n\t\telse {\n\t\t\tl = mid;\n\t\t}\n\t}<\/code><\/pre>\n\n\n\n<p>\u5c0f\u84dd\u6709\u4e00\u4e2a\u795e\u5947\u7684\u7089\u5b50\u7528\u4e8e\u5c06\u666e\u901a\u91d1\u5c5e O \u51b6\u70bc\u6210\u4e3a\u4e00\u79cd\u7279\u6b8a\u91d1\u5c5e X\u3002\u8fd9\u4e2a\u7089\u5b50\u6709\u4e00\u4e2a\u79f0\u4f5c\u8f6c\u6362\u7387\u7684\u5c5e\u6027 V\uff0cV \u662f\u4e00\u4e2a\u6b63\u6574\u6570\uff0c\u8fd9\u610f\u5473\u7740\u6d88\u8017 V \u4e2a\u666e\u901a\u91d1<\/p>\n\n\n\n<p>\u5c5e O \u6070\u597d\u53ef\u4ee5\u51b6\u70bc\u51fa\u4e00\u4e2a\u7279\u6b8a\u91d1\u5c5e X\uff0c\u5f53\u666e\u901a\u91d1\u5c5e O \u7684\u6570\u76ee\u4e0d\u8db3 V 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class=\"wp-block-heading\">\u8f93\u5165\u683c\u5f0f<\/h2>\n\n\n\n<p>\u7b2c\u4e00\u884c\u4e00\u4e2a\u6574\u6570 N\uff0c\u8868\u793a\u51b6\u70bc\u8bb0\u5f55\u7684\u6570\u76ee\u3002<\/p>\n\n\n\n<p>\u63a5\u4e0b\u6765\u8f93\u5165 N \u884c\uff0c\u6bcf\u884c\u4e24\u4e2a\u6574\u6570 A\u3001B\uff0c\u542b\u4e49\u5982\u9898\u76ee\u6240\u8ff0\u3002<\/p>\n\n\n\n<h2 class=\"wp-block-heading\">\u8f93\u51fa\u683c\u5f0f<\/h2>\n\n\n\n<p>\u8f93\u51fa\u4e24\u4e2a\u6574\u6570\uff0c\u5206\u522b\u8868\u793a V \u53ef\u80fd\u7684\u6700\u5c0f\u503c\u548c\u6700\u5927\u503c\uff0c\u4e2d\u95f4\u7528\u7a7a\u683c\u5206\u5f00\u3002<\/p>\n\n\n\n<h2 class=\"wp-block-heading\">\u6837\u4f8b\u8f93\u5165<\/h2>\n\n\n\n<p>\u590d\u5236<\/p>\n\n\n\n<pre class=\"wp-block-preformatted\">3\n75 3\n53 2\n59 2<\/pre>\n\n\n\n<h2 class=\"wp-block-heading\">\u6837\u4f8b\u8f93\u51fa<\/h2>\n\n\n\n<p>\u590d\u5236<\/p>\n\n\n\n<pre class=\"wp-block-preformatted\">20 25<\/pre>\n\n\n\n<h2 class=\"wp-block-heading\">\u63d0\u793a<\/h2>\n\n\n\n<p>\u5f53 V = 20 \u65f6\uff0c\u6709\uff1a\u230a75\/20\u230b = 3\uff0c\u230a 53\/20 \u230b = 2\uff0c\u230a 59\/20 \u230b = 2\uff0c\u53ef\u4ee5\u770b\u5230\u7b26\u5408\u6240\u6709\u51b6\u70bc\u8bb0\u5f55\u3002<\/p>\n\n\n\n<p>\u5f53 V = 25 \u65f6\uff0c\u6709\uff1a\u230a75\/25\u230b = 3\uff0c\u230a 53\/25 \u230b = 2\uff0c\u230a 59\/25 \u230b = 2\uff0c\u53ef\u4ee5\u770b\u5230\u7b26\u5408\u6240\u6709\u51b6\u70bc\u8bb0\u5f55\u3002<\/p>\n\n\n\n<p>\u4e14\u518d\u4e5f\u627e\u4e0d\u5230\u6bd4 20 \u66f4\u5c0f\u6216\u8005\u6bd4 25 \u66f4\u5927\u7684\u7b26\u5408\u6761\u4ef6\u7684 V \u503c\u4e86\u3002<\/p>\n\n\n\n<p>\u5bf9\u4e8e 30% \u7684\u8bc4\u6d4b\u7528\u4f8b\uff0c1 \u2264 N \u2264 10<sup>2<\/sup>\u3002<\/p>\n\n\n\n<p>\u5bf9\u4e8e 60% \u7684\u8bc4\u6d4b\u7528\u4f8b\uff0c1 \u2264 N \u2264 10<sup>3<\/sup>\u3002<\/p>\n\n\n\n<p>\u5bf9\u4e8e 100% \u7684\u8bc4\u6d4b\u7528\u4f8b\uff0c1 \u2264 N \u2264 10<sup>4<\/sup>\uff0c1 \u2264 B \u2264 A \u2264 10<sup>9<\/sup>\u3002<br><br><br><br><br><br><br>       \u4f46\u662f\u716e\u5575\u5c31\u662f\u5728\u524d\u7ee7\u8282\u70b9\u683d\u4e86\u8ddf\u5934\uff0c\u4e00\u76f4\u8fc7\u4e0d\u4e86\u6d4b\u8bd5\u70b9\uff0c\u540e\u8865\u5145\u4e00\u70b9\uff0cmid\u7684\u6c42\u6cd5<br>       \u7b2c\u4e00\u79cd:mid=\uff08left\u2795right)\/2<br>\u9002\u7528\u4e8eleft\u2795right\u65e0\u6ea2\u51fa\u60c5\u51b5\u4e14\u5168\u662f\u6b63\u6570<br>      \u7b2c\u4e8c\u79cd:mid=left-right\u65e0\u6ea2\u51fa\u60c5\u51b5\uff0c\u4e14\u4e00\u6b63\u4e00\u8d1f<br>      \u7b2c\u4e09\u79cd:mid=\uff08left\u2795right)>>1\u9002\u7528\u4e8eleft\u2795right\u65e0\u6ea2\u51fa\uff0c\u65e0\u5176\u4ed6\u9650\u5236\u6761\u4ef6\u3002<br>\u6545\u4ece\u4e0a\u9762\u6765\u770b\uff0c\u7b2c\u4e09\u79cd\u9002\u7528\u4e8e\u5927\u591a\u6570\u60c5\u51b5\uff0c\u5927\u5bb6\u5199\u9898\u7684\u65f6\u5019\u89c6\u60c5\u51b5\u800c\u5b9a\u3002\u6700\u540e\u9644\u4e0a\u9898\u76eec++\u9898\u89e3:<br><br><\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>#include<iostream>\n#include<vector>\nusing namespace std;\nvector<pair<int,int>>vt;\nint N;\n#define MAX  1e9;\n#define MIN  0xc0c0c0c0\nbool check(int num) {\n\tfor (auto t : vt) {\n\t\tif (t.first\/num>t.second)return false;\/\/\u5c0f\u4e86\n\t }\n\treturn true;\n}\nbool check1(int num) {\n\tfor (auto t : vt) {\n\t\tif (t.first\/num < t.second)return false;\/\/\u5927\u4e86\n\t}\n\treturn true;\n}\nvoid solution() {\n\tcin >> N;\n\tint max = MAX;\n\tint Min = MIN;\n\tfor (int i = 0; i < N; i++) {\n\t\tint first, second;\n\t\tcin >> first >> second;\n\t\tif (first \/ second < max)max = first \/ second;\n\t\tvt.push_back({ first,second });\n\t\tif (first \/ second > Min)Min = first \/ second;\n\t}\n\tint mid = 0;\n\tint l = 0, r = max;\n\twhile (l < r) {\n\t\tmid = l + (r - l) \/ 2;\n\t\tif (!check(mid)) {\n\t\t\tl = mid+1;\n\t\t}\n\t\telse {\n\t\t\tr = mid;\n\t\t}\n\t}\n\tint min = l;\n\tl = max;\n\tr = Min;\n\twhile (l < r) {\n\t\tmid = l + (r - l+1) \/ 2;\n\t\tif (!check1(mid)) {\n\t\t\tr = mid-1;\n\t\t}\n\t\telse {\n\t\t\tl = mid;\n\t\t}\n\t}\n\tcout << min <<\" \"<< r;\n}\nint main() {\n\tios::sync_with_stdio(0);\n\tcin.tie(0);\n\tcout.tie(0);\n\tsolution();\n\treturn 0;\n}<\/code><\/pre>\n","protected":false},"excerpt":{"rendered":"<p>\u716e\u5575\u6700\u8fd1\u5728\u84dd\u6865\u676f\u5237\u9898\uff0c\u9047\u5230\u4e00\u4e2a\u7b80\u5355\u7684\u9898\u76ee 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