{"id":1042,"date":"2024-08-06T09:00:00","date_gmt":"2024-08-06T01:00:00","guid":{"rendered":"https:\/\/seanxd.com\/?p=1042"},"modified":"2024-06-30T13:00:09","modified_gmt":"2024-06-30T05:00:09","slug":"zerojudge-b131","status":"publish","type":"post","link":"https:\/\/seanxd.com\/zh\/zerojudge-b131\/","title":{"rendered":"ZeroJudge B131: \u958b\u5fc3\u7684\u91d1\u660e"},"content":{"rendered":"\n\n\n

\u91d1\u660e\u4eca\u5929\u5f88\u958b\u5fc3\uff0c\u5bb6\u88e1\u8cfc\u7f6e\u7684\u65b0\u623f\u5c31\u8981\u9818\u9470\u5319\u4e86\uff0c\u65b0\u623f\u88e1\u6709\u4e00\u9593\u4ed6\u81ea\u5df1\u5c08\u7528\u7684\u5f88\u5bec\u655e\u7684\u623f\u9593\u3002\u66f4\u8b93\u4ed6\u9ad8\u8208\u7684\u662f\uff0c\u5abd\u5abd\u6628\u5929\u5c0d\u4ed6\u8aaa\uff1a\u300c\u4f60\u7684\u623f\u9593\u9700\u8981\u8cfc\u8cb7\u54ea\u4e9b\u7269\u54c1\uff0c\u600e\u9ebc\u4f48\u7f6e\uff0c\u4f60\u8aaa\u4e86\u7b97\uff0c\u53ea\u8981\u4e0d\u8d85\u904e N \u5143\u9322\u5c31\u884c\u300d\u3002\u4eca\u5929\u4e00\u65e9\u91d1\u660e\u5c31\u958b\u59cb\u505a\u9810\u7b97\uff0c\u4f46\u662f\u4ed6\u60f3\u8cb7\u7684\u6771\u897f\u592a\u591a\u4e86\uff0c\u80af\u5b9a\u6703\u8d85\u904e\u5abd\u5abd\u9650\u5b9a\u7684 N \u5143\u3002\u65bc\u662f\uff0c\u4ed6\u628a\u6bcf\u4ef6\u7269\u54c1\u898f\u5b9a\u4e86\u4e00\u500b\u91cd\u8981\u5ea6\uff0c\u5206\u70ba 5 \u7b49\uff1a\u7528\u6574\u6578 1\uff5e5 \u8868\u793a\uff0c\u7b2c 5 \u7b49\u6700\u91cd\u8981\u3002\u4ed6\u9084\u5f9e\u56e0\u7279\u7db2\u4e0a\u67e5\u5230\u4e86\u6bcf\u4ef6\u7269\u54c1\u7684\u50f9\u683c (\u90fd\u662f\u6574\u6578\u5143\uff09\u3002\u4ed6\u5e0c\u671b\u5728\u4e0d\u8d85\u904e N \u5143 (\u53ef\u4ee5\u7b49\u65bc N \u5143) \u7684\u524d\u63d0\u4e0b\uff0c\u4f7f\u6bcf\u4ef6\u7269\u54c1\u7684\u50f9\u683c\u8207\u91cd\u8981\u5ea6\u7684\u4e58\u7a4d\u7684\u7e3d\u548c\u6700\u5927\u3002<\/p>\n\n\n\n

\u8a2d\u7b2c j \u4ef6\u7269\u54c1\u7684\u50f9\u683c\u70ba v[j]\uff0c\u91cd\u8981\u5ea6\u70ba w[j]\uff0c\u5171\u9078\u4e2d\u4e86 k \u4ef6\u7269\u54c1\uff0c\u7de8\u865f\u4f9d\u6b21\u70ba j1<\/sub>\u3001j2<\/sub>\u3001\u2026\u2026\u3001jk<\/sub>\uff0c\u5247\u6240\u6c42\u7684\u7e3d\u548c\u70ba\uff1a<\/p>\n\n\n\n

(v[j1]\uff0aw[j1]) + (v[j2]\uff0aw[j2]) + \u2026 + (v[jk]\uff0aw[jk])\u3002<\/p>\n\n\n\n

\u8acb\u4f60\u5e6b\u52a9\u91d1\u660e\u8a2d\u8a08\u4e00\u500b\u6eff\u8db3\u8981\u6c42\u7684\u8cfc\u7269\u55ae\u3002<\/p>\n\n\n\n

\u7bc4\u4f8b\u6e2c\u8cc7<\/h2>\n\n\n\n
\u7bc4\u4f8b\u8f38\u5165<\/th>\u7bc4\u4f8b\u8f38\u51fa<\/th><\/tr><\/thead>
\u6bcf\u7d44\u8f38\u5165\u7684\u7b2c 1 \u884c\uff0c\u70ba\u5169\u500b\u6b63\u6574\u6578 N \u548c M\uff0c\u7528\u4e00\u500b\u7a7a\u683c\u9694\u958b\uff1a
(\u5176\u4e2d N < 30000 \u8868\u793a\u7e3d\u9322\u6578\uff0cM < 25 \u70ba\u5e0c\u671b\u8cfc\u8cb7\u7269\u54c1\u7684\u500b\u6578)

\u5f9e\u7b2c 2 \u884c\u5230\u7b2c M+1 \u884c\uff0c\u7b2c j \u884c\u7d66\u51fa\u4e86\u7de8\u865f\u70ba j-1 \u7684\u7269\u54c1\u7684\u57fa\u672c\u6578\u64da\uff0c\u6bcf\u884c\u6709 2 \u500b\u975e\u8ca0\u6574\u6578 V \u548c P\u3002
(\u5176\u4e2d V \u8868\u793a\u8a72\u7269\u54c1\u7684\u50f9\u683c V <= 10000\uff0cP \u8868\u793a\u8a72\u7269\u54c1\u7684\u91cd\u8981\u5ea6 1\uff5e5)<\/td>		\u6bcf\u7d44\u8f38\u51fa\u53ea\u6709\u4e00\u500b\u6b63\u6574\u6578\uff0c\u70ba\u4e0d\u8d85\u904e\u7e3d\u9322\u6578\u7684\u7269\u54c1\u7684\u50f9\u683c\u8207\u91cd\u8981\u5ea6\u4e58\u7a4d\u7684\u7e3d\u548c\u7684\u6700\u5927\u503c (< 100000000\uff09\u3002<\/td><\/tr>
1000 5
800 2
400 5
300 5
400 3
200 2<\/td>		3900<\/td><\/tr><\/tbody><\/table>
ZeroJudge B131 \u7bc4\u4f8b\u6e2c\u8cc7<\/figcaption><\/figure>\n\n\n\n

\u89e3\u984c\u601d\u8def<\/h2>\n\n\n\n

\u5ba3\u544a\u4e00\u500b Map \u4ee3\u8868\u4e0d\u540c\u50f9\u9322\u53ef\u4ee5\u7372\u5f97\u7684\u6700\u5927\u503c\uff0c\u7136\u5f8c\u5ba3\u544a\u53e6\u5916\u4e00\u500b Map (\u9019\u908a\u53eb Map1) \u4f86\u505a\u65b0\u8cc7\u6599\u7684\u8a08\u7b97\uff0c\u7b97\u5b8c\u518d\u628a\u8cc7\u6599\u5b58\u5230 Map \u4e2d\u3002<\/p>\n\n\n\n

\u6bcf\u6b21\u6536\u5230\u4e00\u500b\u8cc7\u6599\u6642\u90fd\u5ba3\u544a Map1\uff0c\u7136\u5f8c\u8dd1 for(auto mm:Map1) \u7684\u8ff4\u5708\uff0c\u4e26\u4e14\u5ba3\u544a\u5169\u500b\u8b8a\u6578\u5206\u5225\u70ba newMoney \u548c newPrice\uff0c\u5169\u500b\u8b8a\u6578\u7684\u503c\u5206\u5225\u70ba\u300cmm.first + \u6536\u5230\u7684\u9322\u300d\u4ee5\u53ca\u300cmm.second + (\u6536\u5230\u7684\u9322\uff0a\u91cd\u8981\u5ea6)\u300d\u3002\u5982\u679c newMoney > N\uff0c\u4ee3\u8868\u5df2\u7d93\u8d85\u904e\u9810\u7b97\uff0c\u76f4\u63a5 continue\uff0c\u5426\u5247\u5c31\u5224\u65b7\u820a\u7684 Map[newMoney] \u662f\u5426 < newPrice\uff0c\u5982\u679c newPrice \u8f03\u5927\u5247\u5c07 Map[newMoney] \u8a2d\u70ba newPrice\uff0c\u7136\u5f8c\u6bcf\u6b21\u5224\u65b7 newPrice \u6700\u5927\u503c\uff0c\u7b54\u6848\u5c31\u662f\u5176\u6700\u5927\u503c\u3002<\/p>\n\n\n\n

\u7bc4\u4f8b\u7a0b\u5f0f\u78bc\uff0dZeroJudge B131: \u958b\u5fc3\u7684\u91d1\u660e<\/a><\/h3>\n\n\n\n
#include <iostream>\n#include <map>\nusing namespace std;\n\nint main() {\n    cin.sync_with_stdio(0);\n    cin.tie(0);\n    int N, M;\n    cin >> N >> M;\n    map<int, int>MAP;\n    MAP[0] = 0;\n    int ans = -1;\n    for (int i = 0; i<M; i++) {\n        int money, vital;\n        cin >> money >> vital;\n        map<int,int> MAP1 = MAP;\n        const int calc = money * vital;\n        for(auto mm:MAP1) {\n            int newMoney = mm.first + money;\n            int newPrice = mm.second + calc;\n            if(newMoney > N) continue;\n            if(MAP1[newMoney] < newPrice) {\n                MAP[newMoney] = newPrice;\n                ans = max(ans, newPrice);\n            }\n        }\n    }\n    cout << ans << "\\n";\n}<\/code><\/pre><\/div>\n","protected":false},"excerpt":{"rendered":"
\u91d1\u660e\u4eca\u5929\u5f88\u958b\u5fc3\uff0c\u5bb6\u88e1\u8cfc\u7f6e\u7684\u65b0\u623f\u5c31\u8981\u9818\u9470\u5319\u4e86\uff0c\u65b0\u623f\u88e1\u6709\u4e00\u9593\u4ed6\u81ea\u5df1\u5c08\u7528\u7684\u5f88\u5bec\u655e\u7684\u623f\u9593\u3002\u66f4\u8b93\u4ed6\u9ad8\u8208\u7684\u662f\uff0c\u5abd\u5abd\u6628\u5929\u5c0d\u4ed6 […]<\/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":[14,8,9],"class_list":["post-1042","post","type-post","status-publish","format-standard","hentry","category-ioi-apcs","tag-map","tag-8","tag-9"],"blocksy_meta":[],"_links":{"self":[{"href":"https:\/\/seanxd.com\/zh\/wp-json\/wp\/v2\/posts\/1042","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=1042"}],"version-history":[{"count":2,"href":"https:\/\/seanxd.com\/zh\/wp-json\/wp\/v2\/posts\/1042\/revisions"}],"predecessor-version":[{"id":1044,"href":"https:\/\/seanxd.com\/zh\/wp-json\/wp\/v2\/posts\/1042\/revisions\/1044"}],"wp:attachment":[{"href":"https:\/\/seanxd.com\/zh\/wp-json\/wp\/v2\/media?parent=1042"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/seanxd.com\/zh\/wp-json\/wp\/v2\/categories?post=1042"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/seanxd.com\/zh\/wp-json\/wp\/v2\/tags?post=1042"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}