{"id":117587,"date":"2026-10-25T03:16:58","date_gmt":"2026-10-24T19:16:58","guid":{"rendered":"https:\/\/www.wsisp.com\/helps\/117587.html"},"modified":"2026-10-25T03:16:58","modified_gmt":"2026-10-24T19:16:58","slug":"%e9%a2%98%e8%a7%a3%ef%bc%9a%e6%b4%9b%e8%b0%b7-p1842-usaco05nov-%e5%a5%b6%e7%89%9b%e7%8e%a9%e6%9d%82%e6%8a%80","status":"publish","type":"post","link":"https:\/\/www.wsisp.com\/helps\/117587.html","title":{"rendered":"\u9898\u89e3\uff1a\u6d1b\u8c37 P1842 [USACO05NOV] \u5976\u725b\u73a9\u6742\u6280"},"content":{"rendered":"<p>\u672c\u6587\u5206\u4eab\u7684\u5fc5\u5237\u9898\u76ee\u662f\u4ece\u84dd\u6865\u4e91\u8bfe\u3001\u6d1b\u8c37\u3001AcWing\u7b49\u77e5\u540d\u5237\u9898\u5e73\u53f0\u7cbe\u5fc3\u6311\u9009\u800c\u6765&#xff0c;\u5e76\u7ed3\u5408\u5404\u5e73\u53f0\u63d0\u4f9b\u7684\u7b97\u6cd5\u6807\u7b7e\u548c\u96be\u5ea6\u7b49\u7ea7\u8fdb\u884c\u4e86\u7cfb\u7edf\u5206\u7c7b\u3002\u9898\u76ee\u6db5\u76d6\u4e86\u4ece\u57fa\u7840\u5230\u8fdb\u9636\u7684\u591a\u79cd\u7b97\u6cd5\u548c\u6570\u636e\u7ed3\u6784&#xff0c;\u65e8\u5728\u4e3a\u4e0d\u540c\u9636\u6bb5\u7684\u7f16\u7a0b\u5b66\u4e60\u8005\u63d0\u4f9b\u4e00\u6761\u6e05\u6670\u3001\u5e73\u7a33\u7684\u5b66\u4e60\u63d0\u5347\u8def\u5f84\u3002<\/p>\n<p>\u6b22\u8fce\u5927\u5bb6\u8ba2\u9605\u6211\u7684\u4e13\u680f&#xff1a;\u7b97\u6cd5\u9898\u89e3&#xff1a;C&#043;&#043;\u4e0ePython\u5b9e\u73b0&#xff01;<\/p>\n<p>\u9644\u4e0a\u6c47\u603b\u8d34&#xff1a;\u7b97\u6cd5\u7ade\u8d5b\u5907\u8003\u51b2\u523a\u5fc5\u5237\u9898&#xff08;C&#043;&#043;&#xff09; | \u6c47\u603b<\/p>\n<hr \/>\n<p>\u3010\u9898\u76ee\u6765\u6e90\u3011<\/p>\n<p>\u6d1b\u8c37&#xff1a;P1842 [USACO05NOV] \u5976\u725b\u73a9\u6742\u6280 &#8211; \u6d1b\u8c37<\/p>\n<p>\u3010\u9898\u76ee\u63cf\u8ff0\u3011<\/p>\n<p>Farmer John \u517b\u4e86 <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>        N<\/p>\n<p>       N<\/p>\n<p>    <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.6833em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.109em\">N<\/span><\/span><\/span><\/span><\/span> \u5934\u725b&#xff0c;\u5979\u4eec\u5df2\u7ecf\u6309 <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>        1<\/p>\n<p>        \u223c<\/p>\n<p>        N<\/p>\n<p>       1\\\\sim N<\/p>\n<p>    <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.6444em\"><\/span><span class=\"mord\">1<\/span><span 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\u6240\u4e0d\u77e5\u9053\u7684\u662f&#xff0c;\u4ed6\u7684\u6240\u6709\u725b\u90fd\u68a6\u60f3\u7740\u4ece\u519c\u573a\u9003\u8d70&#xff0c;\u53bb\u53c2\u52a0\u9a6c\u620f\u56e2\u7684\u6f14\u51fa\u3002\u53ef\u5976\u725b\u4eec\u5f88\u5feb\u53d1\u73b0\u5979\u4eec\u90a3\u7b28\u62d9\u7684\u8e44\u5b50\u6839\u672c\u65e0\u6cd5\u5728\u94a2\u4e1d\u6216\u6643\u52a8\u7684\u7684\u79cb\u5343\u4e0a\u7ad9\u7a33&#xff08;\u5979\u4eec\u8fd8\u5c1d\u8bd5\u8fc7\u628a\u81ea\u5df1\u88c5\u5728\u5927\u70ae\u91cc\u53d1\u5c04\u51fa\u53bb&#xff0c;\u4f46\u53ef\u60f3\u800c\u77e5&#xff0c;\u7ed3\u679c\u662f\u60b2\u60e8\u7684&#xff09;\u3002\u6700\u7ec8&#xff0c;\u5979\u4eec\u51b3\u5b9a\u7ec3\u4e60\u4e00\u79cd\u6700\u7b80\u5355\u7684\u6742\u6280&#xff1a;\u628a\u6240\u6709\u725b\u90fd\u645e\u5728\u4e00\u8d77&#xff0c;\u6bd4\u5982\u8bf4&#xff0c;\u7b2c\u4e00\u5934\u725b\u7ad9\u5728\u7b2c\u4e8c\u5934\u7684\u8eab\u4e0a&#xff0c;\u540c\u65f6\u7b2c\u4e8c\u5934\u725b\u53c8\u7ad9\u5728\u7b2c\u4e09\u5934\u725b\u7684\u8eab\u4e0a\u2026\u6700\u5e95\u4e0b\u7684\u662f\u7b2c <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>        N<\/p>\n<p>       N<\/p>\n<p>    <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.6833em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.109em\">N<\/span><\/span><\/span><\/span><\/span> \u5934\u725b\u3002<\/p>\n<p>\u6bcf\u5934\u725b\u90fd\u6709\u81ea\u5df1\u7684\u4f53\u91cd\u4ee5\u53ca\u529b\u91cf&#xff0c;\u7f16\u53f7\u4e3a <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>        i<\/p>\n<p>       i<\/p>\n<p>    <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.6595em\"><\/span><span class=\"mord mathnormal\">i<\/span><\/span><\/span><\/span><\/span> \u7684\u5976\u725b\u7684\u4f53\u91cd\u4e3a <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>         W<\/p>\n<p>         i<\/p>\n<p>       W_i<\/p>\n<p>    <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.8333em;vertical-align: -0.15em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.1389em\">W<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3117em\"><span class=\"\" style=\"top: -2.55em;margin-left: -0.1389em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\">i<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>&#xff0c;\u529b\u91cf\u4e3a <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>         S<\/p>\n<p>         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class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>\u3002<\/p>\n<p>\u5f53\u67d0\u5934\u725b\u8eab\u4e0a\u7ad9\u7740\u53e6\u4e00\u4e9b\u725b\u65f6\u5b83\u5c31\u4f1a\u5728\u4e00\u5b9a\u7a0b\u5ea6\u4e0a\u88ab\u538b\u6241&#xff0c;\u6211\u4eec\u4e0d\u59a8\u628a\u5b83\u88ab\u538b\u6241\u7684\u7a0b\u5ea6\u53eb\u505a\u5b83\u7684\u538b\u6241\u6307\u6570\u3002\u5bf9\u4e8e\u4efb\u610f\u7684\u725b&#xff0c;\u5979\u7684\u538b\u6241\u6307\u6570\u7b49\u4e8e\u645e\u5728\u5979\u4e0a\u9762\u7684\u6240\u6709\u5976\u725b\u7684\u603b\u91cd&#xff08;\u5f53\u7136\u4e0d\u5305\u62ec\u5979\u81ea\u5df1&#xff09;\u51cf\u53bb\u5b83\u7684\u529b\u91cf\u3002\u5976\u725b\u4eec\u6309\u7167\u4e00\u5b9a\u7684\u987a\u5e8f\u645e\u5728\u4e00\u8d77\u540e&#xff0c;\u5979\u4eec\u7684\u603b\u538b\u6241\u6307\u6570\u5c31\u662f\u88ab\u538b\u5f97\u6700\u6241\u7684\u90a3\u5934\u5976\u725b\u7684\u538b\u6241\u6307\u6570\u3002<\/p>\n<p>\u4f60\u7684\u4efb\u52a1\u5c31\u662f\u5e2e\u52a9\u5976\u725b\u4eec\u627e\u51fa\u4e00\u4e2a\u645e\u5728\u4e00\u8d77\u7684\u987a\u5e8f&#xff0c;\u4f7f\u5f97\u603b\u538b\u6241\u6307\u6570\u6700\u5c0f\u3002<\/p>\n<p>\u3010\u8f93\u5165\u3011<\/p>\n<p>\u7b2c\u4e00\u884c\u4e00\u4e2a\u6574\u6570 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class=\"base\"><span class=\"strut\" style=\"height: 0.8333em;vertical-align: -0.15em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.1389em\">W<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3117em\"><span class=\"\" style=\"top: -2.55em;margin-left: -0.1389em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\">i<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span> \u548c <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>         S<\/p>\n<p>         i<\/p>\n<p>       S_i<\/p>\n<p>    <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.8333em;vertical-align: -0.15em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.0576em\">S<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3117em\"><span class=\"\" style=\"top: -2.55em;margin-left: -0.0576em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\">i<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>\u3002<\/p>\n<p>\u3010\u8f93\u51fa\u3011<\/p>\n<p>\u4e00\u884c\u4e00\u4e2a\u6574\u6570\u8868\u793a\u6700\u5c0f\u603b\u538b\u6241\u6307\u6570\u3002<\/p>\n<p>\u3010\u8f93\u5165\u6837\u4f8b\u3011<\/p>\n<p>3<br \/>\n10 3<br \/>\n2 5<br \/>\n3 3<\/p>\n<p>\u3010\u8f93\u51fa\u6837\u4f8b\u3011<\/p>\n<p>2<\/p>\n<p>\u3010\u6838\u5fc3\u601d\u60f3\u3011<\/p>\n<li>\n<p>\u95ee\u9898\u5206\u6790&#xff1a;\u7ed9\u5b9a <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>          N<\/p>\n<p>         N<\/p>\n<p>      <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.6833em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.109em\">N<\/span><\/span><\/span><\/span><\/span> \u5934\u725b&#xff0c;\u6bcf\u5934\u725b\u6709\u4f53\u91cd <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>           W<\/p>\n<p>           i<\/p>\n<p>         W_i<\/p>\n<p>      <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.8333em;vertical-align: -0.15em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.1389em\">W<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3117em\"><span class=\"\" style=\"top: -2.55em;margin-left: -0.1389em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\">i<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span> \u548c\u529b\u91cf <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>           S<\/p>\n<p>           i<\/p>\n<p>         S_i<\/p>\n<p>      <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.8333em;vertical-align: -0.15em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.0576em\">S<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3117em\"><span class=\"\" style=\"top: -2.55em;margin-left: -0.0576em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\">i<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>\u3002\u5c06\u5b83\u4eec\u6309\u67d0\u79cd\u987a\u5e8f\u4ece\u4e0b\u5230\u4e0a\u53e0\u653e&#xff0c;\u6bcf\u5934\u725b\u7684\u538b\u6241\u6307\u6570 &#061; \u4e0a\u65b9\u6240\u6709\u725b\u7684\u603b\u91cd <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>          \u2212<\/p>\n<p>         &#8211;<\/p>\n<p>      <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.6667em;vertical-align: -0.0833em\"><\/span><span class=\"mord\">\u2212<\/span><\/span><\/span><\/span><\/span> \u8be5\u725b\u7684\u529b\u91cf\u3002\u6c42\u6240\u6709\u53e0\u653e\u987a\u5e8f\u4e2d&#xff0c;\u6700\u5927\u538b\u6241\u6307\u6570\u7684\u6700\u5c0f\u503c\u3002\u8fd9\u662f\u4e00\u4e2a\u8d2a\u5fc3\u6392\u5e8f\u95ee\u9898&#xff0c;\u5173\u952e\u5728\u4e8e\u53d1\u73b0\u6309 <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>           W<\/p>\n<p>           i<\/p>\n<p>          &#043;<\/p>\n<p>           S<\/p>\n<p>           i<\/p>\n<p>         W_i &#043; S_i<\/p>\n<p>      <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.8333em;vertical-align: -0.15em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.1389em\">W<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3117em\"><span class=\"\" style=\"top: -2.55em;margin-left: -0.1389em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\">i<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mbin\">&#043;<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.8333em;vertical-align: -0.15em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.0576em\">S<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3117em\"><span class=\"\" style=\"top: -2.55em;margin-left: -0.0576em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\">i<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span> \u5347\u5e8f\u6392\u5217\u53ef\u4f7f\u6700\u5927\u538b\u6241\u6307\u6570\u6700\u5c0f\u3002<\/p>\n<\/li>\n<li>\n<p>\u7b97\u6cd5\u9009\u62e9&#xff1a;<\/p>\n<ul>\n<li>\u8d2a\u5fc3\u7b56\u7565&#xff1a;\u6309 <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">\n<p>            W<\/p>\n<p>            i<\/p>\n<p>           &#043;<\/p>\n<p>            S<\/p>\n<p>            i<\/p>\n<p>          W_i &#043; S_i<\/p>\n<p>       <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.8333em;vertical-align: -0.15em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.1389em\">W<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3117em\"><span class=\"\" style=\"top: -2.55em;margin-left: -0.1389em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\">i<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mbin\">&#043;<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.8333em;vertical-align: -0.15em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.0576em\">S<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3117em\"><span class=\"\" style=\"top: -2.55em;margin-left: -0.0576em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\">i<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>&#xff08;\u4f53\u91cd\u4e0e\u529b\u91cf\u4e4b\u548c&#xff09;\u4ece\u5c0f\u5230\u5927\u6392\u5e8f&#xff0c;\u8be5\u987a\u5e8f\u5373\u4e3a\u6700\u4f18\u53e0\u653e\u987a\u5e8f<\/li>\n<li>\u98ce\u9669\u503c\u8ba1\u7b97&#xff1a;\u6392\u5e8f\u540e\u4ece\u4e0b\u5f80\u4e0a\u53e0\u653e&#xff0c;\u7ef4\u62a4\u4e0a\u65b9\u7d2f\u79ef\u91cd\u91cf <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">\n<p>           t<\/p>\n<p>          t<\/p>\n<p>       <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.6151em\"><\/span><span class=\"mord mathnormal\">t<\/span><\/span><\/span><\/span><\/span>&#xff0c;\u6bcf\u5934\u725b\u7684\u538b\u6241\u6307\u6570\u4e3a <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>           t<\/p>\n<p>           \u2212<\/p>\n<p>            S<\/p>\n<p>            i<\/p>\n<p>          t &#8211; S_i<\/p>\n<p>       <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.6984em;vertical-align: -0.0833em\"><\/span><span class=\"mord mathnormal\">t<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mbin\">\u2212<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.8333em;vertical-align: -0.15em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.0576em\">S<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3117em\"><span class=\"\" style=\"top: -2.55em;margin-left: -0.0576em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\">i<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>&#xff0c;\u53d6\u5168\u5c40\u6700\u5927\u503c<\/li>\n<\/ul>\n<\/li>\n<li>\n<p>\u5173\u952e\u6b65\u9aa4&#xff1a;<\/p>\n<ul>\n<li>\u8bfb\u53d6\u8f93\u5165&#xff1a;<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">\n<p>           N<\/p>\n<p>          N<\/p>\n<p>       <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.6833em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.109em\">N<\/span><\/span><\/span><\/span><\/span> \u548c\u6bcf\u5934\u725b\u7684 <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>           (<\/p>\n<p>            W<\/p>\n<p>            i<\/p>\n<p>           ,<\/p>\n<p>            S<\/p>\n<p>            i<\/p>\n<p>           )<\/p>\n<p>          (W_i, S_i)<\/p>\n<p>       <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 1em;vertical-align: -0.25em\"><\/span><span class=\"mopen\">(<\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.1389em\">W<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3117em\"><span class=\"\" style=\"top: -2.55em;margin-left: -0.1389em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\">i<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.0576em\">S<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3117em\"><span class=\"\" style=\"top: -2.55em;margin-left: -0.0576em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\">i<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mclose\">)<\/span><\/span><\/span><\/span><\/span><\/li>\n<li>\u8d2a\u5fc3\u6392\u5e8f&#xff1a;\u6309 <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">\n<p>            W<\/p>\n<p>            i<\/p>\n<p>           &#043;<\/p>\n<p>            S<\/p>\n<p>            i<\/p>\n<p>          W_i &#043; S_i<\/p>\n<p>       <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.8333em;vertical-align: -0.15em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.1389em\">W<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3117em\"><span class=\"\" style=\"top: -2.55em;margin-left: -0.1389em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\">i<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mbin\">&#043;<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.8333em;vertical-align: -0.15em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.0576em\">S<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3117em\"><span class=\"\" style=\"top: -2.55em;margin-left: -0.0576em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\">i<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span> \u5347\u5e8f\u6392\u5217<\/li>\n<li>\u8ba1\u7b97\u6700\u5927\u538b\u6241\u6307\u6570&#xff1a;\n<ul>\n<li>\u521d\u59cb\u5316 <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">\n<p>             t<\/p>\n<p>             &#061;<\/p>\n<p>             0<\/p>\n<p>            t &#061; 0<\/p>\n<p>         <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.6151em\"><\/span><span class=\"mord mathnormal\">t<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">&#061;<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.6444em\"><\/span><span class=\"mord\">0<\/span><\/span><\/span><\/span><\/span>&#xff08;\u4e0a\u65b9\u7d2f\u79ef\u91cd\u91cf&#xff09;&#xff0c;<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>             r<\/p>\n<p>             e<\/p>\n<p>             s<\/p>\n<p>             &#061;<\/p>\n<p>             \u2212<\/p>\n<p>             \u221e<\/p>\n<p>            res &#061; -\\\\infty<\/p>\n<p>         <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.4306em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0278em\">r<\/span><span class=\"mord mathnormal\">es<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">&#061;<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.6667em;vertical-align: -0.0833em\"><\/span><span class=\"mord\">\u2212<\/span><span class=\"mord\">\u221e<\/span><\/span><\/span><\/span><\/span><\/li>\n<li>\u904d\u5386\u6392\u5e8f\u540e\u7684\u725b&#xff08;\u4ece\u4e0b\u5230\u4e0a&#xff09;&#xff1a;\n<ul>\n<li><span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">\n<p>               r<\/p>\n<p>               e<\/p>\n<p>               s<\/p>\n<p>               &#061;<\/p>\n<p>               max<\/p>\n<p>               \u2061<\/p>\n<p>               (<\/p>\n<p>               r<\/p>\n<p>               e<\/p>\n<p>               s<\/p>\n<p>               ,<\/p>\n<p>               \u00a0<\/p>\n<p>               t<\/p>\n<p>               \u2212<\/p>\n<p>                S<\/p>\n<p>                i<\/p>\n<p>               )<\/p>\n<p>              res &#061; \\\\max(res,\\\\ t &#8211; S_i)<\/p>\n<p>           <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.4306em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0278em\">r<\/span><span class=\"mord mathnormal\">es<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">&#061;<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 1em;vertical-align: -0.25em\"><\/span><span class=\"mop\">max<\/span><span class=\"mopen\">(<\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0278em\">r<\/span><span class=\"mord mathnormal\">es<\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\">\u00a0<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord mathnormal\">t<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mbin\">\u2212<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 1em;vertical-align: -0.25em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.0576em\">S<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3117em\"><span class=\"\" style=\"top: -2.55em;margin-left: -0.0576em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\">i<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mclose\">)<\/span><\/span><\/span><\/span><\/span>&#xff1a;\u5f53\u524d\u725b\u7684\u538b\u6241\u6307\u6570<\/li>\n<li><span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">\n<p>               t<\/p>\n<p>               &#043;<\/p>\n<p>               &#061;<\/p>\n<p>                W<\/p>\n<p>                i<\/p>\n<p>              t \\\\mathrel{&#043;}&#061; W_i<\/p>\n<p>           <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.6984em;vertical-align: -0.0833em\"><\/span><span class=\"mord mathnormal\">t<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\"><span class=\"mord\">&#043;<\/span><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.3669em\"><\/span><span class=\"mrel\">&#061;<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.8333em;vertical-align: -0.15em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.1389em\">W<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3117em\"><span class=\"\" style=\"top: -2.55em;margin-left: -0.1389em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\">i<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>&#xff1a;\u5c06\u8be5\u725b\u91cd\u91cf\u52a0\u5165\u4e0a\u65b9\u7d2f\u79ef\u91cd\u91cf<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<\/li>\n<li>\u8f93\u51fa <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">\n<p>           r<\/p>\n<p>           e<\/p>\n<p>           s<\/p>\n<p>          res<\/p>\n<p>       <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.4306em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0278em\">r<\/span><span class=\"mord mathnormal\">es<\/span><\/span><\/span><\/span><\/span><\/li>\n<\/ul>\n<\/li>\n<li>\n<p>\u65f6\u95f4\/\u7a7a\u95f4\u590d\u6742\u5ea6&#xff1a;<\/p>\n<ul>\n<li>\u65f6\u95f4\u590d\u6742\u5ea6&#xff1a;<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">\n<p>           O<\/p>\n<p>           (<\/p>\n<p>           N<\/p>\n<p>           log<\/p>\n<p>           \u2061<\/p>\n<p>           N<\/p>\n<p>           )<\/p>\n<p>          O(N \\\\log N)<\/p>\n<p>       <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 1em;vertical-align: -0.25em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0278em\">O<\/span><span class=\"mopen\">(<\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.109em\">N<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mop\">lo<span style=\"margin-right: 0.0139em\">g<\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.109em\">N<\/span><span class=\"mclose\">)<\/span><\/span><\/span><\/span><\/span>&#xff0c;\u6392\u5e8f\u4e3b\u5bfc<\/li>\n<li>\u7a7a\u95f4\u590d\u6742\u5ea6&#xff1a;<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">\n<p>           O<\/p>\n<p>           (<\/p>\n<p>           N<\/p>\n<p>           )<\/p>\n<p>          O(N)<\/p>\n<p>       <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 1em;vertical-align: -0.25em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0278em\">O<\/span><span class=\"mopen\">(<\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.109em\">N<\/span><span class=\"mclose\">)<\/span><\/span><\/span><\/span><\/span>&#xff0c;\u5b58\u50a8\u725b\u7684\u4fe1\u606f<\/li>\n<\/ul>\n<\/li>\n<li>\n<p>\u8d2a\u5fc3\u6392\u5e8f\u7684\u6838\u5fc3\u601d\u60f3&#xff1a;<\/p>\n<ul>\n<li>\u4ea4\u6362\u8bba\u8bc1&#xff1a;\u8003\u8651\u76f8\u90bb\u4e24\u5934\u725b <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">\n<p>           i<\/p>\n<p>          i<\/p>\n<p>       <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.6595em\"><\/span><span class=\"mord mathnormal\">i<\/span><\/span><\/span><\/span><\/span> \u548c <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>           j<\/p>\n<p>          j<\/p>\n<p>       <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.854em;vertical-align: -0.1944em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0572em\">j<\/span><\/span><\/span><\/span><\/span>&#xff08;<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>           i<\/p>\n<p>          i<\/p>\n<p>       <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.6595em\"><\/span><span class=\"mord mathnormal\">i<\/span><\/span><\/span><\/span><\/span> \u5728\u4e0b&#xff0c;<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>           j<\/p>\n<p>          j<\/p>\n<p>       <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.854em;vertical-align: -0.1944em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0572em\">j<\/span><\/span><\/span><\/span><\/span> \u5728\u4e0a&#xff09;&#xff0c;\u4ea4\u6362\u5b83\u4eec\u4e0d\u5f71\u54cd\u5176\u4ed6\u725b\u7684\u538b\u6241\u6307\u6570\u3002\u901a\u8fc7\u6bd4\u8f83\u4ea4\u6362\u524d\u540e\u7684\u6700\u5927\u538b\u6241\u6307\u6570&#xff0c;\u53ef\u8bc1\u660e\u5f53 <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>            W<\/p>\n<p>            i<\/p>\n<p>           &#043;<\/p>\n<p>            S<\/p>\n<p>            i<\/p>\n<p>           \u2264<\/p>\n<p>            W<\/p>\n<p>            j<\/p>\n<p>           &#043;<\/p>\n<p>            S<\/p>\n<p>            j<\/p>\n<p>          W_i &#043; S_i \\\\le W_j &#043; S_j<\/p>\n<p>       <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.8333em;vertical-align: -0.15em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.1389em\">W<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3117em\"><span class=\"\" style=\"top: -2.55em;margin-left: -0.1389em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\">i<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mbin\">&#043;<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.8333em;vertical-align: -0.15em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.0576em\">S<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3117em\"><span class=\"\" style=\"top: -2.55em;margin-left: -0.0576em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\">i<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">\u2264<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.9694em;vertical-align: -0.2861em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.1389em\">W<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3117em\"><span class=\"\" style=\"top: -2.55em;margin-left: -0.1389em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\" style=\"margin-right: 0.0572em\">j<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.2861em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mbin\">&#043;<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.9694em;vertical-align: -0.2861em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.0576em\">S<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3117em\"><span class=\"\" style=\"top: -2.55em;margin-left: -0.0576em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\" style=\"margin-right: 0.0572em\">j<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.2861em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span> \u65f6&#xff0c;\u539f\u987a\u5e8f\u4e0d\u52a3\u4e8e\u4ea4\u6362\u540e\u7684\u987a\u5e8f<\/li>\n<li>\u5c40\u90e8\u6700\u4f18\u63a8\u5168\u5c40\u6700\u4f18&#xff1a;\u76f8\u90bb\u4ea4\u6362\u7684\u8d2a\u5fc3\u9009\u62e9\u6027\u8d28\u4fdd\u8bc1\u4e86\u6309 <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">\n<p>           W<\/p>\n<p>           &#043;<\/p>\n<p>           S<\/p>\n<p>          W &#043; S<\/p>\n<p>       <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.7667em;vertical-align: -0.0833em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.1389em\">W<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mbin\">&#043;<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.6833em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0576em\">S<\/span><\/span><\/span><\/span><\/span> \u6392\u5e8f\u7684\u5168\u5c40\u6700\u4f18\u6027<\/li>\n<li>\u98ce\u9669\u7d2f\u79ef&#xff1a;<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">\n<p>           t<\/p>\n<p>          t<\/p>\n<p>       <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.6151em\"><\/span><span class=\"mord mathnormal\">t<\/span><\/span><\/span><\/span><\/span> \u5355\u8c03\u9012\u589e&#xff0c;\u529b\u91cf <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>            S<\/p>\n<p>            i<\/p>\n<p>          S_i<\/p>\n<p>       <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.8333em;vertical-align: -0.15em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.0576em\">S<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3117em\"><span class=\"\" style=\"top: -2.55em;margin-left: -0.0576em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\">i<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span> \u8f83\u5927\u7684\u725b\u5e94\u653e\u5728\u4e0b\u65b9&#xff08;\u6b64\u65f6 <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>           t<\/p>\n<p>          t<\/p>\n<p>       <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.6151em\"><\/span><span class=\"mord mathnormal\">t<\/span><\/span><\/span><\/span><\/span> \u8f83\u5c0f&#xff09;&#xff0c;\u4ee5\u51cf\u5c0f <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>           t<\/p>\n<p>           \u2212<\/p>\n<p>            S<\/p>\n<p>            i<\/p>\n<p>          t &#8211; S_i<\/p>\n<p>       <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.6984em;vertical-align: -0.0833em\"><\/span><span class=\"mord mathnormal\">t<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mbin\">\u2212<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.8333em;vertical-align: -0.15em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.0576em\">S<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3117em\"><span class=\"\" style=\"top: -2.55em;margin-left: -0.0576em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\">i<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/li>\n<li>\u9002\u7528\u4e8e&#034;\u6392\u5e8f\u540e\u5355\u8c03\u7d2f\u79ef\u6c42\u6700\u503c&#034;\u7c7b\u95ee\u9898&#xff0c;\u6838\u5fc3\u662f\u901a\u8fc7\u4ea4\u6362\u8bba\u8bc1\u53d1\u73b0\u6b63\u786e\u7684\u6392\u5e8f\u5173\u952e\u5b57<\/li>\n<\/ul>\n<\/li>\n<p>\u3010\u7b97\u6cd5\u6807\u7b7e\u3011<\/p>\n<p>#\u666e\u53ca #\u8d2a\u5fc3<\/p>\n<p>\u3010\u4ee3\u7801\u8be6\u89e3\u3011<\/p>\n<p><span class=\"token macro property\"><span class=\"token directive-hash\">#<\/span><span class=\"token directive keyword\">include<\/span> <span class=\"token string\">&lt;bits\/stdc&#043;&#043;.h&gt;<\/span><\/span><br \/>\n<span class=\"token keyword\">using<\/span> <span class=\"token keyword\">namespace<\/span> std<span class=\"token punctuation\">;<\/span><\/p>\n<p><span class=\"token keyword\">const<\/span> <span class=\"token keyword\">int<\/span> MAX_N <span class=\"token operator\">&#061;<\/span> <span class=\"token number\">50004<\/span><span class=\"token punctuation\">;<\/span>  <span class=\"token comment\">\/\/ \u5b9a\u4e49\u6700\u5927\u725b\u7684\u6570\u91cf<\/span><br \/>\n<span class=\"token keyword\">int<\/span> n<span class=\"token punctuation\">;<\/span>                    <span class=\"token comment\">\/\/ \u725b\u7684\u6570\u91cf<\/span><br \/>\n<span class=\"token keyword\">int<\/span> res <span class=\"token operator\">&#061;<\/span> <span class=\"token operator\">&#8211;<\/span><span class=\"token number\">1e9<\/span><span class=\"token punctuation\">;<\/span>           <span class=\"token comment\">\/\/ \u5b58\u50a8\u6700\u7ec8\u7ed3\u679c&#xff08;\u6700\u5927\u98ce\u9669\u503c&#xff09;<\/span><br \/>\n<span class=\"token keyword\">int<\/span> t<span class=\"token punctuation\">;<\/span>                    <span class=\"token comment\">\/\/ \u5f53\u524d\u7d2f\u79ef\u7684\u91cd\u91cf<\/span><\/p>\n<p><span class=\"token comment\">\/\/ \u5b9a\u4e49\u725b\u7684\u7ed3\u6784\u4f53&#xff0c;\u5305\u542b\u91cd\u91cf\u548c\u529b\u91cf<\/span><br \/>\n<span class=\"token keyword\">struct<\/span> <span class=\"token class-name\">Node<\/span><br \/>\n<span class=\"token punctuation\">{<\/span><br \/>\n    <span class=\"token keyword\">int<\/span> w<span class=\"token punctuation\">;<\/span>  <span class=\"token comment\">\/\/ \u725b\u7684\u91cd\u91cf<\/span><br \/>\n    <span class=\"token keyword\">int<\/span> s<span class=\"token punctuation\">;<\/span>  <span class=\"token comment\">\/\/ \u725b\u7684\u529b\u91cf<\/span><\/p>\n<p>    <span class=\"token comment\">\/\/ \u91cd\u8f7d\u5c0f\u4e8e\u8fd0\u7b97\u7b26&#xff0c;\u7528\u4e8e\u6392\u5e8f<\/span><br \/>\n    <span class=\"token keyword\">bool<\/span> <span class=\"token keyword\">operator<\/span> <span class=\"token operator\">&lt;<\/span> <span class=\"token punctuation\">(<\/span>Node <span class=\"token operator\">&amp;<\/span>t<span class=\"token punctuation\">)<\/span><br \/>\n    <span class=\"token punctuation\">{<\/span><br \/>\n        <span class=\"token keyword\">return<\/span> w <span class=\"token operator\">&#043;<\/span> s <span class=\"token operator\">&lt;<\/span> t<span class=\"token punctuation\">.<\/span>w <span class=\"token operator\">&#043;<\/span> t<span class=\"token punctuation\">.<\/span>s<span class=\"token punctuation\">;<\/span><br \/>\n    <span class=\"token punctuation\">}<\/span><br \/>\n<span class=\"token punctuation\">}<\/span> a<span class=\"token punctuation\">[<\/span>MAX_N<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">;<\/span>  <span class=\"token comment\">\/\/ \u5b58\u50a8\u6240\u6709\u725b\u7684\u4fe1\u606f<\/span><\/p>\n<p><span class=\"token keyword\">int<\/span> <span class=\"token function\">main<\/span><span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span><br \/>\n<span class=\"token punctuation\">{<\/span><br \/>\n    <span class=\"token comment\">\/\/ \u8f93\u5165\u725b\u7684\u6570\u91cf<\/span><br \/>\n    cin <span class=\"token operator\">&gt;&gt;<\/span> n<span class=\"token punctuation\">;<\/span><\/p>\n<p>    <span class=\"token comment\">\/\/ \u8f93\u5165\u6bcf\u5934\u725b\u7684\u91cd\u91cf\u548c\u529b\u91cf<\/span><br \/>\n    <span class=\"token keyword\">for<\/span> <span class=\"token punctuation\">(<\/span><span class=\"token keyword\">int<\/span> i <span class=\"token operator\">&#061;<\/span> <span class=\"token number\">1<\/span><span class=\"token punctuation\">;<\/span> i <span class=\"token operator\">&lt;&#061;<\/span> n<span class=\"token punctuation\">;<\/span> i<span class=\"token operator\">&#043;&#043;<\/span><span class=\"token punctuation\">)<\/span><br \/>\n        cin <span class=\"token operator\">&gt;&gt;<\/span> a<span class=\"token punctuation\">[<\/span>i<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">.<\/span>w <span class=\"token operator\">&gt;&gt;<\/span> a<span class=\"token punctuation\">[<\/span>i<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">.<\/span>s<span class=\"token punctuation\">;<\/span><\/p>\n<p>    <span class=\"token comment\">\/\/ \u6309\u7167w&#043;s\u5347\u5e8f\u6392\u5e8f<\/span><br \/>\n    <span class=\"token function\">sort<\/span><span class=\"token punctuation\">(<\/span>a <span class=\"token operator\">&#043;<\/span> <span class=\"token number\">1<\/span><span class=\"token punctuation\">,<\/span> a <span class=\"token operator\">&#043;<\/span> n <span class=\"token operator\">&#043;<\/span> <span class=\"token number\">1<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><\/p>\n<p>    <span class=\"token comment\">\/\/ \u8ba1\u7b97\u6700\u5927\u98ce\u9669\u503c<\/span><br \/>\n    <span class=\"token keyword\">for<\/span> <span class=\"token punctuation\">(<\/span><span class=\"token keyword\">int<\/span> i <span class=\"token operator\">&#061;<\/span> <span class=\"token number\">1<\/span><span class=\"token punctuation\">;<\/span> i <span class=\"token operator\">&lt;&#061;<\/span> n<span class=\"token punctuation\">;<\/span> i<span class=\"token operator\">&#043;&#043;<\/span><span class=\"token punctuation\">)<\/span><br \/>\n    <span class=\"token punctuation\">{<\/span><br \/>\n        <span class=\"token comment\">\/\/ \u5f53\u524d\u725b\u7684\u98ce\u9669\u503c &#061; \u4e0a\u65b9\u6240\u6709\u725b\u7684\u91cd\u91cf &#8211; \u5f53\u524d\u725b\u7684\u529b\u91cf<\/span><br \/>\n        res <span class=\"token operator\">&#061;<\/span> <span class=\"token function\">max<\/span><span class=\"token punctuation\">(<\/span>res<span class=\"token punctuation\">,<\/span> t <span class=\"token operator\">&#8211;<\/span> a<span class=\"token punctuation\">[<\/span>i<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">.<\/span>s<span class=\"token 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