{"id":177,"date":"2025-01-29T23:46:40","date_gmt":"2025-01-29T15:46:40","guid":{"rendered":"http:\/\/blog.seekrealthing.net\/blog\/?p=177"},"modified":"2025-02-04T16:49:10","modified_gmt":"2025-02-04T08:49:10","slug":"codeforce-1600-e-array-game-%e8%a7%a3%e6%9e%90%e6%80%9d%e7%b6%ad%e3%80%81%e5%8d%9a%e5%bc%88%e3%80%81%e9%9b%99%e6%8c%87%e6%a8%99","status":"publish","type":"post","link":"https:\/\/blog.seekrealthing.net\/blog\/?p=177","title":{"rendered":"E. Array Game \u89e3\u6790(\u601d\u7dad\u3001\u535a\u5f08\u3001\u96d9\u6307\u6a19)"},"content":{"rendered":"\n<div class=\"wp-block-jetpack-markdown\"><p>\u4eca\u5929\u6211\u5011\u4f86\u770b\u770bCF1600E\n<a href=\"https:\/\/codeforces.com\/contest\/1600\/problem\/E\">\u984c\u76ee\u9023\u7d50<\/a><\/p>\n<h3>\u984c\u76ee\u63cf\u8ff0<\/h3>\n<p>Alice \u548c Bob \u73a9\u4e00\u500b\u904a\u6232\u3002\u4ed6\u5011\u6709\u4e00\u500b\u9577\u5ea6\u70ba $N$ \u7684\u6578\u7d44 $A$\uff0c\u4e26\u9700\u8981\u5171\u540c\u5efa\u7acb\u4e00\u500b<strong>\u56b4\u683c\u905e\u589e<\/strong>\u7684\u5e8f\u5217\u3002<br>\n\u6bcf\u56de\u5408\uff0c\u73a9\u5bb6\u53ef\u4ee5\u5f9e\u6578\u7d44\u7684\u5de6\u7aef\u6216\u53f3\u7aef\u79fb\u9664\u4e00\u500b\u6578\uff0c\u7136\u5f8c\u5c07\u5176\u6dfb\u52a0\u5230\u5e8f\u5217\u4e2d\u3002<br>\n<strong>Alice \u5148\u624b<\/strong>\uff0c\u6700\u5f8c\u80fd\u5920\u6210\u529f\u79fb\u9664\u4e26\u52a0\u5165\u6578\u5217\u7684\u4eba\u7372\u52dd\u3002<br>\n\u5047\u8a2d\u5169\u4eba\u90fd\u63a1\u53d6<strong>\u6700\u512a\u7b56\u7565<\/strong>\uff0c\u8acb\u5224\u65b7\u8ab0\u6703\u8d0f\u5f97\u6bd4\u8cfd\u3002<\/p>\n<hr>\n<h3><strong>\u8f38\u5165\u683c\u5f0f<\/strong><\/h3>\n<ul>\n<li>\u7b2c\u4e00\u884c\uff1a\u6574\u6578 $N$\uff08$1 \\leq N \\leq 2 \\times 10^5$\uff09\uff0c\u8868\u793a\u6578\u7d44\u7684\u9577\u5ea6\u3002<\/li>\n<li>\u7b2c\u4e8c\u884c\uff1a$N$ \u500b\u6574\u6578 $A_1, A_2, \u2026, A_N$\uff08$0 \\leq A_i \\leq 10^9$\uff09\u3002<\/li>\n<\/ul>\n<hr>\n<h3><strong>\u8f38\u51fa\u683c\u5f0f<\/strong><\/h3>\n<ul>\n<li>\u8f38\u51fa\u4e00\u884c\uff0c\u82e5 <strong>Alice<\/strong> \u7372\u52dd\u5247\u8f38\u51fa <code>&quot;Alice&quot;<\/code>\uff0c\u5426\u5247\u8f38\u51fa <code>&quot;Bob&quot;<\/code>\u3002<\/li>\n<\/ul>\n<h2>\u524d\u8a00<\/h2>\n<p>\u539f\u672c\u6211\u9084\u4ee5\u70ba\u53ea\u8981\u7c21\u55ae\u5224\u65b7\u4e00\u6b21\u6216\u5169\u6b21\u54ea\u4e00\u500b\u905e\u589e\u5e8f\u5217\u6bd4\u8f03\u9577\u5c31\u597d\uff0c\u6c92\u60f3\u5230\u8981\u7528\u5230\u96d9\u6307\u6a19<\/p>\n<h3>\u60f3\u6cd5<\/h3>\n<p>\u9996\u5148\u4e00\u958b\u59cb\u53ef\u4ee5\u6ce8\u610f\u5230\uff0c\u982d\u548c\u5c3e\u90fd\u53ea\u6703\u6709\u4e00\u500b\u56b4\u683c\u905e\u589e\u5e8f\u5217\uff0c\u4e0d\u7ba1\u4e2d\u9593\u9084\u6709\u591a\u5c11\u500b\u905e\u589e\u5e8f\u5217\uff0c\u6211\u5011\u90fd\u5b8c\u5168\u4e0d\u53ef\u80fd\u4f7f\u7528\u5230\uff0c\u56e0\u70ba\u8981\u4f7f\u7528\u4e2d\u9593\u7684\u5e8f\u5217\uff0c\u5fc5\u5b9a\u8981\u5148\u7528\u6389\u982d\u6216\u8005\u5c3e\u7684\u3002<br>\n\u63a5\u8457\u6211\u5011\u53ef\u4ee5\u6ce8\u610f\u5230\uff0c\u5982\u679c\u6211\u73fe\u5728\u662f\u5148\u624b\uff0c\u5982\u679c\u6709\u4e00\u500b\u6578\u5b57\u958b\u982d\u6bd4\u8f03\u5927\u7684\u5e8f\u5217(\u4f8b\u5982\u5de6\u908a\u7684\u5e8f\u5217\u662f[1,3,5]\uff0c\u53f3\u908a\u7684\u5e8f\u5217\u53cd\u904e\u4f86\u770b\u662f[2,4,6]\uff0c\u90a3\u53f3\u908a\u7684\u5e8f\u5217\u7684\u7b2c\u4e00\u500b\u6578\u5b572\u6bd4\u5de6\u908a\u7684\u5e8f\u5217\u7684\u7b2c\u4e00\u500b\u6578\u5b571\u5927)\uff0c\u90a3\u6211\u53ea\u8981\u5148\u624b\u53bb\u62ff\u90a3\u500b\u6578\u5b57\uff0c\u5c0d\u65b9\u5c31\u4e0d\u53ef\u80fd\u62ff\u53e6\u5916\u4e00\u908a\u7684\u5e8f\u5217\u7684\u6578\u5b57\uff0c\u800c\u5fc5\u5b9a\u88ab\u9396\u6b7b\u5728\u76ee\u524d\u9019\u500b\u5e8f\u5217\u4e2d\uff0c\u53ea\u8981\u6211\u80fd\u78ba\u8a8d\u9019\u500b\u5e8f\u5217\u7684\u9577\u5ea6\u662f\u5947\u6578\uff0c\u6211\u5148\u624b\u62ff\u5c31\u4e00\u5b9a\u6703\u8d0f\u3002<br>\n\u4f46\u662f\u5982\u679c\u9019\u500b\u5e8f\u5217\u7684\u9577\u5ea6\u662f\u5076\u6578\uff0c\u6211\u5148\u624b\u62ff\u4e86\u5c31\u4e00\u5b9a\u6703\u8f38\uff0c\u90a3\u9ebc\u6211\u5011\u5c31\u53ea\u80fd\u5148\u53bb\u62ff\u53e6\u5916\u4e00\u500b\u6578\u5b57\u6bd4\u8f03\u5c0f\u7684\u5e8f\u5217\uff0c\u7136\u5f8c\u5c07\u5148\u5f8c\u624b<code>swap<\/code>\u4e00\u4e0b\uff0c\u518d\u505a\u4e00\u6b21\u4e0a\u9762\u7684\u5224\u65b7\u5373\u53ef\u3002<\/p>\n<h3>\u7a0b\u5f0f\u78bc:<\/h3>\n<pre><code class=\"language-cpp\">const int _n = 2e5 + 10;\nint t, n, a[_n];\nVI seqL, seqR;\nmain(void) {\n  ios_base::sync_with_stdio(0);\n  cin.tie(0);\n  cout.tie(0);\n  cin &gt;&gt; n;\n  rep(i, 0, n) {\n    cin &gt;&gt; a[i];\n  }\n  seqL.pb(a[0]);\n  rep(i, 1, n) {\n    if (a[i] &lt;= a[i - 1]) break;\n    seqL.pb(a[i]);\n  }\n  seqR.pb(a[n - 1]);\n  per(i, 0, n - 1) {\n    if (a[i] &lt;= a[i + 1]) break;\n    seqR.pb(a[i]);\n  }\n  string first = &quot;Alice&quot;, second = &quot;Bob&quot;;\n  int lenL = SZ(seqL), lenR = SZ(seqR);\n  int idxL = 0, idxR = 0;\n  while (1) {\n    if (idxR == SZ(seqR)) {\n      if (lenL % 2 == 1) {\n        cout &lt;&lt; first &lt;&lt; '\\n';\n        return 0;\n      } else {\n        cout &lt;&lt; second &lt;&lt; '\\n';\n        return 0;\n      }\n    }\n \n    if (seqL[idxL] &lt; seqR[idxR]) {\n      swap(seqL, seqR);\n      swap(lenL, lenR);\n      swap(idxL, idxR);\n    }\n    if (lenL % 2 == 1) {\n      cout &lt;&lt; first &lt;&lt; '\\n';\n      return 0;\n    }\n    if (seqL[idxL] == seqR[idxR] and (lenL % 2 == 1 or lenR % 2 == 1)) {\n      cout &lt;&lt; first &lt;&lt; '\\n';\n      return 0;\n    }\n \n    idxR++;\n    lenR--;\n    swap(first, second);\n  }\n \n  return 0;\n}\n<\/code><\/pre>\n<p>\u6a19\u982d\u3001\u6a21\u677f\u8acb\u9edeSubmission\u770b\n<a href=\"https:\/\/codeforces.com\/contest\/1600\/submission\/303514213\">Submission<\/a><\/p>\n<\/div>\n","protected":false},"excerpt":{"rendered":"","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_jetpack_memberships_contains_paid_content":false,"footnotes":"","jetpack_publicize_message":"","jetpack_publicize_feature_enabled":true,"jetpack_social_post_already_shared":false,"jetpack_social_options":{"image_generator_settings":{"template":"highway","enabled":false},"version":2}},"categories":[3],"tags":[10,9,18,8,46],"class_list":["post-177","post","type-post","status-publish","format-standard","hentry","category-ojcode","tag-codeforce","tag-ojcode","tag-18","tag-8","tag-46"],"jetpack_publicize_connections":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v24.4 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>E. 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