{"id":39793,"date":"2025-05-25T22:08:55","date_gmt":"2025-05-25T14:08:55","guid":{"rendered":"https:\/\/www.wsisp.com\/helps\/39793.html"},"modified":"2025-05-25T22:08:55","modified_gmt":"2025-05-25T14:08:55","slug":"%e8%85%be%e8%ae%af2025%e5%b9%b4%e6%a0%a1%e6%8b%9b%e7%ac%94%e8%af%95%e7%9c%9f%e9%a2%98%e6%89%8b%e6%92%95%ef%bc%88%e4%ba%8c%ef%bc%89","status":"publish","type":"post","link":"https:\/\/www.wsisp.com\/helps\/39793.html","title":{"rendered":"\u817e\u8baf2025\u5e74\u6821\u62db\u7b14\u8bd5\u771f\u9898\u624b\u6495\uff08\u4e8c\uff09"},"content":{"rendered":"<h2>\u4e00\u3001\u9898\u76ee<\/h2>\n<p>\u6700\u8fd1\u4ee5\u6bd4\u7279\u5e01\u4e3a\u4ee3\u8868\u7684\u6570\u5b57\u8d27\u5e01\u5e02\u573a\u975e\u5e38\u52a8\u8361&#xff0c;\u806a\u660e\u7684\u5c0f\u660e\u6253\u7b97\u7528\u9a6c\u5c14\u79d1\u592b\u94fe\u6765\u5efa\u6a21\u80a1\u5e02\u3002\u5982\u56fe\u6240\u793a&#xff0c;\u8be5\u6a21\u578b\u6709\u4e09\u79cd\u72b6\u6001&#xff1a;\u201c\u884c\u60c5\u7a33\u5b9a\u201d&#xff0c;\u201c\u884c\u60c5\u5927\u8dcc\u201d\u4ee5\u53ca\u201c\u884c\u60c5\u5927\u6da8\u201d\u3002\u6bcf\u4e00\u4e2a\u72b6\u6001\u90fd\u4ee5\u4e00\u5b9a\u7684\u6982\u7387\u8f6c\u5316\u5230\u4e0b\u4e00\u4e2a\u72b6\u6001\u3002\u6bd4\u5982&#xff0c;\u201c\u884c\u60c5\u7a33\u5b9a\u201d\u4ee50.4\u7684\u6982\u7387\u8f6c\u5316\u5230\u201c\u884c\u60c5\u5927\u8dcc\u201d\u7684\u72b6\u6001\u3002<\/p>\n<p>\u6709\u4e86\u6982\u7387\u8f6c\u79fb\u77e9\u9635P&#xff0c;\u6211\u4eec\u53ea\u8981\u77e5\u9053\u4e00\u4e2a\u521d\u59cb\u72b6\u6001 &#xff0c;\u6211\u4eec\u5c31\u5bb9\u6613\u53ef\u4ee5\u77e5\u9053\u7b2c t \u6b65\u4e09\u79cd\u72b6\u6001\u7684\u6982\u7387\u4e86\u3002\u7531\u6b64\u53ef\u4ee5\u77e5\u9053\u884c\u60c5\u4ec0\u4e48\u65f6\u5019\u5927\u6da8\u5927\u8dcc&#xff0c;\u4ece\u800c\u53d1\u5bb6\u81f4\u5bcc&#xff0c;\u8d62\u53d6\u767d\u5bcc\u7f8e&#xff0c;\u8d70\u5411\u4eba\u751f\u5dc5\u5cf0\u3002\u6bd4\u5982\u6211\u4eec\u60f3\u77e5\u9053\u7b2c1\u6b65\u4e4b\u540e\u201c\u884c\u60c5\u5927\u8dcc\u201d\u7684\u6982\u7387&#xff0c;\u90a3\u4e48\u7531\u5168\u6982\u7387\u516c\u5f0f\u548c\u9a6c\u5c14\u79d1\u592b\u94fe\u7684\u6027\u8d28(\u7b2ct\u6b65\u7684\u6982\u7387\u53ea\u548c\u7b2ct-1\u6b65\u6709\u5173)&#xff1a;<\/p>\n<\/p>\n<p class=\"img-center\"><img loading=\"lazy\" decoding=\"async\" alt=\"\" height=\"326\" src=\"https:\/\/www.wsisp.com\/helps\/wp-content\/uploads\/2025\/05\/20250525140854-6833247616ef1.jpg\" width=\"1174\" \/><\/p>\n<p>\u53ef\u4ee5\u901a\u8fc7\u8be5\u6a21\u578b&#xff0c;\u8ba1\u7b97\u51fa\u7b2ct\u6b65\u7684\u201c\u884c\u60c5\u5927\u6da8\u201d\u7684\u6982\u7387\u5417&#xff1f;\u5982\u679c\u8fd9\u4e2a\u6982\u7387\u5927\u4e8e0.5\u90a3\u4e48\u8f93\u51fa1&#xff0c;\u5426\u5219\u8f93\u51fa0\u3002<\/p>\n<p>\u8f93\u5165\u63cf\u8ff0\u00a0\u7b2c1\u884c\u8f93\u5165\u4e3a\u6d4b\u8bd5\u6570\u636e\u7ec4\u6570T(1&lt;&#061;T&lt;1000)&#xff0c;\u63a5\u4e0b\u6765T\u7ec4\u6bcf5\u884c\u7684\u6570\u636e\u683c\u5f0f\u4e3a T\u7ec4\u7b2c1\u884c\u662f\u6b65\u957f1&lt;&#061;t&lt;&#061;10\u3002 T\u7ec4\u7b2c2\u884c\u662f\u4e00\u4e2a3\u7ef4\u7684\u521d\u59cb\u72b6\u6001 T\u7ec4\u7b2c3\u884c\u5230\u7b2c5\u884c\u662f3*3\u7684\u6982\u7387\u8f6c\u79fb\u77e9\u9635P&#xff0c;\u6bcf\u884c\u6709\u4e09\u4e2a\u6d6e\u70b9\u6570<\/p>\n<p>\u8f93\u51fa\u63cf\u8ff0\u00a0\u5982\u679c\u7b2ct\u6b65\u7684\u201c\u884c\u60c5\u5927\u6da8\u201d\u6982\u7387\u5927\u4e8e0.5\u90a3\u4e48\u8f93\u51fa1&#xff0c;\u5426\u5219\u8f93\u51fa0<\/p>\n<p class=\"img-center\"><img loading=\"lazy\" decoding=\"async\" alt=\"\" height=\"497\" src=\"https:\/\/www.wsisp.com\/helps\/wp-content\/uploads\/2025\/05\/20250525140854-6833247640bd7.png\" width=\"474\" \/><\/p>\n<h2>\u4e8c\u3001\u5206\u6790<\/h2>\n<p>\u8be5\u95ee\u9898\u7740\u91cd\u4e8e\u9884\u6d4b\u6570\u5b57\u8d27\u5e01\u5e02\u573a\u884c\u60c5\u5728\u672a\u6765\u7279\u5b9a\u65f6\u95f4\u6b65\u5904\u4e8e\u201c\u884c\u60c5\u5927\u6da8\u201d\u72b6\u6001\u7684\u53ef\u80fd\u6027&#xff0c;\u4ee5\u6b64\u8f85\u52a9\u51b3\u7b56\u3002\u9898\u76ee\u8981\u6c42\u5229\u7528\u9a6c\u5c14\u79d1\u592b\u94fe\u8fd9\u4e00\u6570\u5b66\u5de5\u5177&#xff0c;\u57fa\u4e8e\u7ed9\u5b9a\u7684\u521d\u59cb\u72b6\u6001\u548c\u8f6c\u79fb\u6982\u7387\u77e9\u9635&#xff0c;\u8ba1\u7b97\u7b2c t \u6b65\u65f6\u201c\u884c\u60c5\u5927\u6da8\u201d\u72b6\u6001\u53d1\u751f\u7684\u6982\u7387\u662f\u5426\u8d85\u8fc7 0.5\u3002\u9a6c\u5c14\u79d1\u592b\u94fe\u7684\u6838\u5fc3\u7279\u6027\u5728\u4e8e\u65e0\u8bb0\u5fc6\u6027&#xff0c;\u5373\u7b2c t \u6b65\u7684\u72b6\u6001\u4ec5\u4f9d\u8d56\u4e8e\u7b2c t-1 \u6b65\u7684\u72b6\u6001&#xff0c;\u8fd9\u4f7f\u5f97\u6211\u4eec\u80fd\u591f\u901a\u8fc7\u9010\u6b65\u8fed\u4ee3\u7684\u65b9\u5f0f&#xff0c;\u4f9d\u636e\u8f6c\u79fb\u6982\u7387\u77e9\u9635\u9884\u6d4b\u672a\u6765\u7684\u72b6\u6001\u5206\u5e03\u3002<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" alt=\"\" height=\"424\" src=\"https:\/\/www.wsisp.com\/helps\/wp-content\/uploads\/2025\/05\/20250525140854-683324765952c.png\" width=\"640\" \/><\/p>\n<p>\u5177\u4f53\u5230\u672c\u9898&#xff0c;\u6bcf\u7ec4\u6d4b\u8bd5\u6570\u636e\u5305\u62ec\u521d\u59cb\u72b6\u6001\u5411\u91cf\u548c\u8f6c\u79fb\u6982\u7387\u77e9\u9635\u3002\u521d\u59cb\u72b6\u6001\u5411\u91cf\u7684\u4e09\u4e2a\u5206\u91cf\u5206\u522b\u4ee3\u8868\u201c\u884c\u60c5\u7a33\u5b9a\u201d\u201c\u884c\u60c5\u5927\u8dcc\u201d\u548c\u201c\u884c\u60c5\u5927\u6da8\u201d\u4e09\u79cd\u72b6\u6001\u7684\u521d\u59cb\u6982\u7387\u3002\u8f6c\u79fb\u6982\u7387\u77e9\u9635\u662f\u4e00\u4e2a 3\u00d73 \u7684\u77e9\u9635&#xff0c;\u5176\u4e2d\u6bcf\u4e2a\u5143\u7d20 P[i][j] \u8868\u793a\u4ece\u72b6\u6001 i \u8f6c\u79fb\u5230\u72b6\u6001 j \u7684\u6982\u7387\u3002\u4e3a\u4e86\u8ba1\u7b97\u7b2c t \u6b65\u7684\u72b6\u6001\u6982\u7387\u5206\u5e03&#xff0c;\u6211\u4eec\u9700\u8981\u4ece\u521d\u59cb\u72b6\u6001\u51fa\u53d1&#xff0c;\u8fde\u7eed\u5e94\u7528 t-1 \u6b21\u8f6c\u79fb\u6982\u7387\u77e9\u9635\u3002\u8fd9\u53ef\u4ee5\u901a\u8fc7\u77e9\u9635\u4e58\u6cd5\u7684\u65b9\u5f0f\u5b9e\u73b0&#xff1a;\u6bcf\u4e00\u6b65&#xff0c;\u6211\u4eec\u90fd\u7528\u5f53\u524d\u72b6\u6001\u6982\u7387\u5206\u5e03\u4e0e\u8f6c\u79fb\u6982\u7387\u77e9\u9635\u76f8\u4e58&#xff0c;\u5f97\u5230\u4e0b\u4e00\u6b65\u7684\u72b6\u6001\u6982\u7387\u5206\u5e03\u3002<\/p>\n<p>\u5728\u7b97\u6cd5\u5b9e\u73b0\u4e0a&#xff0c;\u9488\u5bf9\u6bcf\u7ec4\u6d4b\u8bd5\u6570\u636e&#xff0c;\u9996\u5148\u8bfb\u53d6\u6b65\u957f t\u3001\u521d\u59cb\u72b6\u6001\u5411\u91cf\u4ee5\u53ca\u8f6c\u79fb\u6982\u7387\u77e9\u9635\u3002\u7136\u540e&#xff0c;\u4ece\u521d\u59cb\u72b6\u6001\u5f00\u59cb&#xff0c;\u8fdb\u884c t-1 \u6b21\u72b6\u6001\u8f6c\u79fb\u8ba1\u7b97\u3002\u5728\u6bcf\u4e00\u6b21\u8f6c\u79fb\u4e2d&#xff0c;\u6211\u4eec\u90fd\u6839\u636e\u8f6c\u79fb\u6982\u7387\u77e9\u9635\u66f4\u65b0\u5404\u72b6\u6001\u7684\u6982\u7387\u3002\u5177\u4f53\u6765\u8bf4&#xff0c;\u5bf9\u4e8e\u6bcf\u4e2a\u53ef\u80fd\u7684\u8d77\u59cb\u72b6\u6001&#xff0c;\u6211\u4eec\u5c06\u8be5\u72b6\u6001\u7684\u6982\u7387\u5206\u914d\u5230\u4e0b\u4e00\u4e2a\u72b6\u6001&#xff0c;\u5206\u914d\u7684\u6bd4\u4f8b\u7531\u8f6c\u79fb\u6982\u7387\u51b3\u5b9a\u3002\u7ecf\u8fc7 t-1 \u6b21\u8fd9\u6837\u7684\u8f6c\u79fb\u540e&#xff0c;\u6211\u4eec\u5f97\u5230\u7b2c t \u6b65\u7684\u72b6\u6001\u6982\u7387\u5206\u5e03\u3002\u6b64\u65f6&#xff0c;\u53ea\u9700\u68c0\u67e5\u201c\u884c\u60c5\u5927\u6da8\u201d\u72b6\u6001\u7684\u6982\u7387\u662f\u5426\u8d85\u8fc7 0.5&#xff0c;\u5373\u53ef\u51b3\u5b9a\u8f93\u51fa 1 \u6216 0\u3002<\/p>\n<h2>\u4e09\u3001\u4ee3\u7801<\/h2>\n<p>def main():<br \/>\n    import sys<br \/>\n    input &#061; sys.stdin.read().split()<br \/>\n    ptr &#061; 0<br \/>\n    T &#061; int(input[ptr])<br \/>\n    ptr &#043;&#061; 1<br \/>\n    for _ in range(T):<br \/>\n        t &#061; int(input[ptr])<br \/>\n        ptr &#043;&#061; 1<br \/>\n        state &#061; list(map(float, input[ptr:ptr&#043;3]))<br \/>\n        ptr &#043;&#061; 3<br \/>\n        P &#061; []<br \/>\n        for i in range(3):<br \/>\n            row &#061; list(map(float, input[ptr:ptr&#043;3]))<br \/>\n            P.append(row)<br \/>\n            ptr &#043;&#061; 3<br \/>\n        current_state &#061; state.copy()<br \/>\n        for _ in range(t-1):<br \/>\n            new_state &#061; [0.0]*3<br \/>\n            for j in range(3):<br \/>\n                for k in range(3):<br \/>\n                    new_state[j] &#043;&#061; current_state[k] * P[k][j]<br \/>\n            current_state &#061; new_state<br \/>\n        if current_state[2] &gt; 0.5:<br \/>\n            print(1)<br \/>\n        else:<br \/>\n            print(0)<\/p>\n<p>if __name__ &#061;&#061; &#034;__main__&#034;:<br \/>\n    main() <\/p>\n<li>\n<p>\u8f93\u5165\u8bfb\u53d6\u4e0e\u89e3\u6790&#xff1a;<\/p>\n<ul>\n<li>\n<p>\u8bfb\u53d6\u8f93\u5165\u7684\u6240\u6709\u6570\u636e&#xff0c;\u5e76\u5c06\u5176\u5b58\u50a8\u5728\u4e00\u4e2a\u5217\u8868\u4e2d\u3002<\/p>\n<\/li>\n<li>\n<p>\u4f7f\u7528\u6307\u9488 ptr \u6765\u9010\u4e2a\u8bbf\u95ee\u8f93\u5165\u6570\u636e\u3002<\/p>\n<\/li>\n<li>\n<p>\u7b2c\u4e00\u4e2a\u8f93\u5165\u662f\u6d4b\u8bd5\u6570\u636e\u7ec4\u6570 T\u3002<\/p>\n<\/li>\n<\/ul>\n<\/li>\n<li>\n<p>\u6bcf\u7ec4\u6570\u636e\u5904\u7406&#xff1a;<\/p>\n<ul>\n<li>\n<p>\u5bf9\u4e8e\u6bcf\u7ec4\u6570\u636e&#xff0c;\u9996\u5148\u8bfb\u53d6\u6b65\u957f t\u3002<\/p>\n<\/li>\n<li>\n<p>\u63a5\u7740\u8bfb\u53d6\u521d\u59cb\u72b6\u6001\u5411\u91cf state&#xff0c;\u8be5\u5411\u91cf\u5305\u542b\u4e09\u4e2a\u5143\u7d20&#xff0c;\u5206\u522b\u8868\u793a\u521d\u59cb\u65f6\u523b\u5904\u4e8e\u201c\u884c\u60c5\u7a33\u5b9a\u201d\u3001\u201c\u884c\u60c5\u5927\u8dcc\u201d\u548c\u201c\u884c\u60c5\u5927\u6da8\u201d\u4e09\u79cd\u72b6\u6001\u7684\u6982\u7387\u3002<\/p>\n<\/li>\n<li>\n<p>\u7136\u540e\u8bfb\u53d6 3\u00d73 \u7684\u8f6c\u79fb\u6982\u7387\u77e9\u9635 P&#xff0c;\u5176\u4e2d\u6bcf\u4e2a\u5143\u7d20 P[i][j] \u8868\u793a\u4ece\u72b6\u6001 i \u8f6c\u79fb\u5230\u72b6\u6001 j \u7684\u6982\u7387\u3002<\/p>\n<\/li>\n<\/ul>\n<\/li>\n<li>\n<p>\u72b6\u6001\u8f6c\u79fb\u8ba1\u7b97&#xff1a;<\/p>\n<ul>\n<li>\n<p>\u521d\u59cb\u5316\u5f53\u524d\u72b6\u6001\u4e3a\u521d\u59cb\u72b6\u6001\u5411\u91cf current_state\u3002<\/p>\n<\/li>\n<li>\n<p>\u5bf9\u4e8e\u4ece\u7b2c 1 \u6b65\u5230\u7b2c t-1 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