{"id":112627,"date":"2026-10-04T09:49:17","date_gmt":"2026-10-04T01:49:17","guid":{"rendered":"https:\/\/www.wsisp.com\/helps\/112627.html"},"modified":"2026-10-04T09:49:17","modified_gmt":"2026-10-04T01:49:17","slug":"%e5%b0%8f%e8%8b%af%e7%9a%84%e6%95%b0%e7%bb%84%e6%9e%84%e9%80%a0%e3%80%90%e7%89%9b%e5%ae%a2tracker-%e6%af%8f%e6%97%a5%e4%b8%80%e9%a2%98%e3%80%91","status":"publish","type":"post","link":"https:\/\/www.wsisp.com\/helps\/112627.html","title":{"rendered":"\u5c0f\u82ef\u7684\u6570\u7ec4\u6784\u9020\u3010\u725b\u5ba2tracker & \u6bcf\u65e5\u4e00\u9898\u3011"},"content":{"rendered":"

\u5c0f\u82ef\u7684\u6570\u7ec4\u6784\u9020<\/h2>\n

\u65f6\u95f4\u9650\u5236：1 \u79d2 \u7a7a\u95f4\u9650\u5236：256M<\/p>\n

\u7f51\u9875\u94fe\u63a5<\/h3>\n

\u725b\u5ba2tracker<\/h3>\n

\u725b\u5ba2tracker & \u6bcf\u65e5\u4e00\u9898，\u5b8c\u6210\u6bcf\u65e5\u6253\u5361，\u5373\u53ef\u83b7\u5f97\u725b\u5e01\u3002\u83b7\u5f97\u76f8\u5e94\u6570\u91cf\u7684\u725b\u5e01，\u80fd\u5728\u3010\u725b\u5e01\u5151\u6362\u4e2d\u5fc3\u3011，\u6362\u53d6\u76f8\u5e94\u5956\u54c1！\u52a9\u529b\u6bcf\u65e5\u6709\u9898\u505a，\u4e30\u76c8\u725b\u5e01\u65e5\u76ca\u591a！ \"\u5728\u8fd9\u91cc\u63d2\u5165\u56fe\u7247\u63cf\u8ff0\"<\/p>\n

\n

\u9898\u76ee\u63cf\u8ff0<\/h3>\n

\u5927\u767d\u718a\u7ed9\u4e86\u5c0f\u82ef\u4e00\u4e2a\u957f\u5ea6\u4e3a <\/p>\n

n<\/p>\n

n<\/p>\n

<\/span><\/span>n<\/span><\/span><\/span><\/span><\/span> \u7684\u6570\u7ec4 <\/p>\n

a<\/p>\n

a<\/p>\n

<\/span><\/span>a<\/span><\/span><\/span><\/span><\/span>，\u4ed6\u5e0c\u671b\u5c0f\u82ef\u5c06\u6570\u7ec4 <\/p>\n

a<\/p>\n

a<\/p>\n

<\/span><\/span>a<\/span><\/span><\/span><\/span><\/span> \u53d8\u6210\u6709\u5e8f（\u975e\u9012\u51cf）\u7684\u3002\u5177\u4f53\u7684，\u5c0f\u82ef\u9700\u8981\u8fdb\u884c\u5982\u4e0b\u64cd\u4f5c：<\/p>\n

  • \u4efb\u9009\u4e00\u4e2a\u6570\u7ec4 \n

    b<\/p>\n

    b<\/p>\n

    <\/span><\/span>b<\/span><\/span><\/span><\/span><\/span>，\u957f\u5ea6\u4e5f\u4e3a <\/p>\n

    n<\/p>\n

    n<\/p>\n

    <\/span><\/span>n<\/span><\/span><\/span><\/span><\/span>，\u4e14\u5143\u7d20\u6ee1\u8db3：<\/p>\n

    \u2212<\/p>\n

    10<\/p>\n

    10<\/p>\n

    \u2264<\/p>\n

    b<\/p>\n

    i<\/p>\n

    \u2264<\/p>\n

    10<\/p>\n

    10<\/p>\n

    -10^{10} \\\\le b_i \\\\le 10^{10}<\/p>\n

    <\/span><\/span>\u2212<\/span>1<\/span>0<\/span><\/span>10<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>\u2264<\/span><\/span><\/span><\/span>b<\/span><\/span>i<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>\u2264<\/span><\/span><\/span><\/span>1<\/span>0<\/span><\/span>10<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>\u3002<\/li>\n

  • \u5bf9\u4e8e\u6240\u6709 \n

    1<\/p>\n

    \u2264<\/p>\n

    i<\/p>\n

    \u2264<\/p>\n

    n<\/p>\n

    1 \\\\le i \\\\le n<\/p>\n

    <\/span><\/span>1<\/span><\/span>\u2264<\/span><\/span><\/span><\/span>i<\/span><\/span>\u2264<\/span><\/span><\/span><\/span>n<\/span><\/span><\/span><\/span><\/span>，\u90fd\u6267\u884c <\/p>\n

    a<\/p>\n

    i<\/p>\n

    =<\/p>\n

    a<\/p>\n

    i<\/p>\n

    +<\/p>\n

    b<\/p>\n

    i<\/p>\n

    a_i = a_i + b_i<\/p>\n

    <\/span><\/span>a<\/span><\/span>i<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>=<\/span><\/span><\/span><\/span>a<\/span><\/span>i<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>+<\/span><\/span><\/span><\/span>b<\/span><\/span>i<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>\u3002<\/li>\n

    \u5927\u767d\u718a\u5e0c\u671b\u5728\u6267\u884c\u5b8c\u64cd\u4f5c\u540e <\/p>\n

    a<\/p>\n

    a<\/p>\n

    <\/span><\/span>a<\/span><\/span><\/span><\/span><\/span> \u6570\u7ec4\u6ee1\u8db3\u6709\u5e8f，\u540c\u65f6\u8981\u6700\u5c0f\u5316\u6570\u7ec4 <\/p>\n

    b<\/p>\n

    b<\/p>\n

    <\/span><\/span>b<\/span><\/span><\/span><\/span><\/span> \u7684\u6781\u5dee，\u5373\u4f7f\u5f97：<\/p>\n

    <\/p>\n

    max<\/p>\n

    \u2061<\/p>\n

    (<\/p>\n

    b<\/p>\n

    1<\/p>\n

    ,<\/p>\n

    b<\/p>\n

    2<\/p>\n

    ,<\/p>\n

    \u2026<\/p>\n

    ,<\/p>\n

    b<\/p>\n

    n<\/p>\n

    )<\/p>\n

    \u2212<\/p>\n

    min<\/p>\n

    \u2061<\/p>\n

    (<\/p>\n

    b<\/p>\n

    1<\/p>\n

    ,<\/p>\n

    b<\/p>\n

    2<\/p>\n

    ,<\/p>\n

    \u2026<\/p>\n

    ,<\/p>\n

    b<\/p>\n

    n<\/p>\n

    )<\/p>\n

    \\\\max(b_1, b_2, \\\\dots, b_n) – \\\\min(b_1, b_2, \\\\dots, b_n) <\/p>\n

    <\/span><\/span>max<\/span>(<\/span>b<\/span><\/span>1<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>,<\/span><\/span>b<\/span><\/span>2<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>,<\/span><\/span>\u2026<\/span><\/span>,<\/span><\/span>b<\/span><\/span>n<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>)<\/span><\/span>\u2212<\/span><\/span><\/span><\/span>min<\/span>(<\/span>b<\/span><\/span>1<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>,<\/span><\/span>b<\/span><\/span>2<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>,<\/span><\/span>\u2026<\/span><\/span>,<\/span><\/span>b<\/span><\/span>n<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>)<\/span><\/span><\/span><\/span><\/span><\/span><\/p>\n

    \u6700\u5c0f\u3002<\/p>\n

    \u8bf7\u4f60\u5e2e\u5c0f\u82ef\u627e\u51fa\u4e00\u4e2a\u5408\u6cd5\u7684 <\/p>\n

    b<\/p>\n

    b<\/p>\n

    <\/span><\/span>b<\/span><\/span><\/span><\/span><\/span> \u6570\u7ec4\u5427\u3002<\/p>\n

    \u6ce8：\u5982\u6709\u591a\u89e3\u8f93\u51fa\u4efb\u610f\u5373\u53ef\u3002<\/p>\n

    \n

    \u8f93\u5165\u63cf\u8ff0<\/h3>\n

    \u8f93\u5165\u5305\u542b\u4e24\u884c\u3002<\/p>\n

      \n
    • \u7b2c\u4e00\u884c\u4e00\u4e2a\u6b63\u6574\u6570 \n

      n<\/p>\n

      \u00a0<\/p>\n

      (<\/p>\n

      1<\/p>\n

      \u2264<\/p>\n

      n<\/p>\n

      \u2264<\/p>\n

      2<\/p>\n

      \u00d7<\/p>\n

      10<\/p>\n

      5<\/p>\n

      )<\/p>\n

      n\\\\ (1 \\\\le n \\\\le 2 \\\\times 10^5)<\/p>\n

      <\/span><\/span>n<\/span>\u00a0<\/span>(<\/span>1<\/span><\/span>\u2264<\/span><\/span><\/span><\/span>n<\/span><\/span>\u2264<\/span><\/span><\/span><\/span>2<\/span><\/span>\u00d7<\/span><\/span><\/span><\/span>1<\/span>0<\/span><\/span>5<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>)<\/span><\/span><\/span><\/span><\/span>，\u8868\u793a <\/p>\n

      a<\/p>\n

      a<\/p>\n

      <\/span><\/span>a<\/span><\/span><\/span><\/span><\/span> \u7684\u957f\u5ea6\u3002<\/li>\n

    • \u7b2c\u4e8c\u884c \n

      n<\/p>\n

      n<\/p>\n

      <\/span><\/span>n<\/span><\/span><\/span><\/span><\/span> \u4e2a\u6574\u6570 <\/p>\n

      a<\/p>\n

      i<\/p>\n

      \u00a0<\/p>\n

      (<\/p>\n

      \u2212<\/p>\n

      10<\/p>\n

      9<\/p>\n

      \u2264<\/p>\n

      a<\/p>\n

      i<\/p>\n

      \u2264<\/p>\n

      10<\/p>\n

      9<\/p>\n

      )<\/p>\n

      a_i\\\\ (-10^9 \\\\le a_i \\\\le 10^9)<\/p>\n

      <\/span><\/span>a<\/span><\/span>i<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>\u00a0<\/span>(<\/span>\u2212<\/span>1<\/span>0<\/span><\/span>9<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>\u2264<\/span><\/span><\/span><\/span>a<\/span><\/span>i<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>\u2264<\/span><\/span><\/span><\/span>1<\/span>0<\/span><\/span>9<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>)<\/span><\/span><\/span><\/span><\/span>，\u8868\u793a\u6570\u7ec4 <\/p>\n

      a<\/p>\n

      a<\/p>\n

      <\/span><\/span>a<\/span><\/span><\/span><\/span><\/span> \u7684\u5143\u7d20\u3002<\/li>\n<\/ul>\n

      \n

      \u8f93\u51fa\u63cf\u8ff0<\/h3>\n

      \u8f93\u51fa\u5305\u542b\u4e00\u884c <\/p>\n

      n<\/p>\n

      n<\/p>\n

      <\/span><\/span>n<\/span><\/span><\/span><\/span><\/span> \u4e2a\u6574\u6570，\u8868\u793a\u6784\u9020\u51fa\u7684 <\/p>\n

      b<\/p>\n

      b<\/p>\n

      <\/span><\/span>b<\/span><\/span><\/span><\/span><\/span> \u6570\u7ec4（\u6709\u591a\u89e3\u8f93\u51fa\u4efb\u610f\u5373\u53ef）\u3002<\/p>\n

      \u5982\u679c\u627e\u4e0d\u5230\u5408\u6cd5\u7684 <\/p>\n

      b<\/p>\n

      b<\/p>\n

      <\/span><\/span>b<\/span><\/span><\/span><\/span><\/span> \u6570\u7ec4，\u8bf7\u8f93\u51fa\u4e00\u4e2a\u6574\u6570 <\/p>\n

      \u2212<\/p>\n

      1<\/p>\n

      -1<\/p>\n

      <\/span><\/span>\u2212<\/span>1<\/span><\/span><\/span><\/span><\/span>\u3002<\/p>\n

      \n

      \u793a\u4f8b 1<\/h3>\n

      \u8f93\u5165：<\/p>\n

      2
      \n1 2<\/p>\n

      \u8f93\u51fa：<\/p>\n

      114514 114514<\/p>\n

      \u8bf4\u660e： \u53ef\u4ee5\u6784\u9020 <\/p>\n

      b<\/p>\n

      =<\/p>\n

      [<\/p>\n

      114514<\/p>\n

      ,<\/p>\n

      114514<\/p>\n

      ]<\/p>\n

      b = [114514, 114514]<\/p>\n

      <\/span><\/span>b<\/span><\/span>=<\/span><\/span><\/span><\/span>[<\/span>114514<\/span>,<\/span><\/span>114514<\/span>]<\/span><\/span><\/span><\/span><\/span>，\u8fd9\u6837 <\/p>\n

      b<\/p>\n

      b<\/p>\n

      <\/span><\/span>b<\/span><\/span><\/span><\/span><\/span> \u7684\u6781\u5dee\u4e3a <\/p>\n

      0<\/p>\n

      0<\/p>\n

      <\/span><\/span>0<\/span><\/span><\/span><\/span><\/span>，\u53ef\u4ee5\u8bc1\u660e\u4e0d\u5b58\u5728\u6bd4 <\/p>\n

      0<\/p>\n

      0<\/p>\n

      <\/span><\/span>0<\/span><\/span><\/span><\/span><\/span> \u66f4\u5c0f\u7684\u6781\u5dee\u3002<\/p>\n

      \n

      \u5907\u6ce8<\/h3>\n

      \u6570\u7ec4\u7684\u6781\u5dee = \u6570\u7ec4\u4e2d\u7684\u6700\u5927\u503c\u51cf\u53bb\u6700\u5c0f\u503c\u3002<\/p>\n

      \n

      \u6570\u636e\u8303\u56f4\u4e0e\u63d0\u793a<\/h3>\n
        \n
      • \n

        1<\/p>\n

        \u2264<\/p>\n

        n<\/p>\n

        \u2264<\/p>\n

        2<\/p>\n

        \u00d7<\/p>\n

        10<\/p>\n

        5<\/p>\n

        1 \\\\le n \\\\le 2 \\\\times 10^5<\/p>\n

        <\/span><\/span>1<\/span><\/span>\u2264<\/span><\/span><\/span><\/span>n<\/span><\/span>\u2264<\/span><\/span><\/span><\/span>2<\/span><\/span>\u00d7<\/span><\/span><\/span><\/span>1<\/span>0<\/span><\/span>5<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/li>\n

      • \n

        \u2212<\/p>\n

        10<\/p>\n

        9<\/p>\n

        \u2264<\/p>\n

        a<\/p>\n

        i<\/p>\n

        \u2264<\/p>\n

        10<\/p>\n

        9<\/p>\n

        -10^9 \\\\le a_i \\\\le 10^9<\/p>\n

        <\/span><\/span>\u2212<\/span>1<\/span>0<\/span><\/span>9<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>\u2264<\/span><\/span><\/span><\/span>a<\/span><\/span>i<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>\u2264<\/span><\/span><\/span><\/span>1<\/span>0<\/span><\/span>9<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/li>\n

      • \n

        \u2212<\/p>\n

        10<\/p>\n

        10<\/p>\n

        \u2264<\/p>\n

        b<\/p>\n

        i<\/p>\n

        \u2264<\/p>\n

        10<\/p>\n

        10<\/p>\n

        -10^{10} \\\\le b_i \\\\le 10^{10}<\/p>\n

        <\/span><\/span>\u2212<\/span>1<\/span>0<\/span><\/span>10<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>\u2264<\/span><\/span><\/span><\/span>b<\/span><\/span>i<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>\u2264<\/span><\/span><\/span><\/span>1<\/span>0<\/span><\/span>10<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/li>\n

      • \u6838\u5fc3\u601d\u8def：\n
      • \u8bb0\u6700\u7ec8\u5e8f\u5217 \n

        f<\/p>\n

        i<\/p>\n

        =<\/p>\n

        a<\/p>\n

        i<\/p>\n

        +<\/p>\n

        b<\/p>\n

        i<\/p>\n

        f_i = a_i + b_i<\/p>\n

        <\/span><\/span>f<\/span><\/span>i<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>=<\/span><\/span><\/span><\/span>a<\/span><\/span>i<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>+<\/span><\/span><\/span><\/span>b<\/span><\/span>i<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>，\u8981\u6c42 <\/p>\n

        f<\/p>\n

        f<\/p>\n

        <\/span><\/span>f<\/span><\/span><\/span><\/span><\/span> \u975e\u9012\u51cf\u3002<\/p>\n

        b<\/p>\n

        b<\/p>\n

        <\/span><\/span>b<\/span><\/span><\/span><\/span><\/span> \u7684\u6781\u5dee\u7b49\u4ef7\u4e8e <\/p>\n

        max<\/p>\n

        \u2061<\/p>\n

        i<\/p>\n

        (<\/p>\n

        f<\/p>\n

        i<\/p>\n

        \u2212<\/p>\n

        a<\/p>\n

        i<\/p>\n

        )<\/p>\n

        \u2212<\/p>\n

        min<\/p>\n

        \u2061<\/p>\n

        i<\/p>\n

        (<\/p>\n

        f<\/p>\n

        i<\/p>\n

        \u2212<\/p>\n

        a<\/p>\n

        i<\/p>\n

        )<\/p>\n

        \\\\max_i(f_i – a_i) – \\\\min_i(f_i – a_i)<\/p>\n

        <\/span><\/span>max<\/span><\/span>i<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>(<\/span>f<\/span><\/span>i<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>\u2212<\/span><\/span><\/span><\/span>a<\/span><\/span>i<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>)<\/span><\/span>\u2212<\/span><\/span><\/span><\/span>min<\/span><\/span>i<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>(<\/span>f<\/span><\/span>i<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>\u2212<\/span><\/span><\/span><\/span>a<\/span><\/span>i<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>)<\/span><\/span><\/span><\/span><\/span>，\u8981\u8ba9\u5b83\u6700\u5c0f\u3002<\/li>\n

      • \u4e24\u79cd\u81ea\u7136\u7684\u6784\u9020\u53ef\u5206\u522b\u7ed9\u51fa\u4e0a\u754c：\n
          \n
        • \u53d6 \n

          b<\/p>\n

          i<\/p>\n

          =<\/p>\n

          p<\/p>\n

          m<\/p>\n

          x<\/p>\n

          i<\/p>\n

          \u2212<\/p>\n

          a<\/p>\n

          i<\/p>\n

          b_i = \\\\mathrm{pmx}_i – a_i<\/p>\n

          <\/span><\/span>b<\/span><\/span>i<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>=<\/span><\/span><\/span><\/span>pmx<\/span><\/span><\/span>i<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>\u2212<\/span><\/span><\/span><\/span>a<\/span><\/span>i<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>（<\/p>\n

          p<\/p>\n

          m<\/p>\n

          x<\/p>\n

          i<\/p>\n

          \\\\mathrm{pmx}_i<\/p>\n

          <\/span><\/span>pmx<\/span><\/span><\/span>i<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span> \u4e3a\u524d\u7f00\u6700\u5927\u503c），\u6b64\u65f6 <\/p>\n

          f<\/p>\n

          i<\/p>\n

          =<\/p>\n

          p<\/p>\n

          m<\/p>\n

          x<\/p>\n

          i<\/p>\n

          f_i = \\\\mathrm{pmx}_i<\/p>\n

          <\/span><\/span>f<\/span><\/span>i<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>=<\/span><\/span><\/span><\/span>pmx<\/span><\/span><\/span>i<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span> \u975e\u9012\u51cf，<\/p>\n

          b<\/p>\n

          b<\/p>\n

          <\/span><\/span>b<\/span><\/span><\/span><\/span><\/span> \u7684\u6781\u5dee\u4e3a <\/p>\n

          max<\/p>\n

          \u2061<\/p>\n

          i<\/p>\n

          (<\/p>\n

          p<\/p>\n

          m<\/p>\n

          x<\/p>\n

          i<\/p>\n

          \u2212<\/p>\n

          a<\/p>\n

          i<\/p>\n

          )<\/p>\n

          \\\\max_i(\\\\mathrm{pmx}_i – a_i)<\/p>\n

          <\/span><\/span>max<\/span><\/span>i<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>(<\/span>pmx<\/span><\/span><\/span>i<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>\u2212<\/span><\/span><\/span><\/span>a<\/span><\/span>i<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>)<\/span><\/span><\/span><\/span><\/span>；<\/li>\n

        • \u53d6 \n

          b<\/p>\n

          i<\/p>\n

          =<\/p>\n

          s<\/p>\n

          m<\/p>\n

          n<\/p>\n

          i<\/p>\n

          \u2212<\/p>\n

          a<\/p>\n

          i<\/p>\n

          b_i = \\\\mathrm{smn}_i – a_i<\/p>\n

          <\/span><\/span>b<\/span><\/span>i<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>=<\/span><\/span><\/span><\/span>smn<\/span><\/span><\/span>i<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>\u2212<\/span><\/span><\/span><\/span>a<\/span><\/span>i<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>（<\/p>\n

          s<\/p>\n

          m<\/p>\n

          n<\/p>\n

          i<\/p>\n

          \\\\mathrm{smn}_i<\/p>\n

          <\/span><\/span>smn<\/span><\/span><\/span>i<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span> \u4e3a\u540e\u7f00\u6700\u5c0f\u503c），\u6b64\u65f6 <\/p>\n

          f<\/p>\n

          i<\/p>\n

          =<\/p>\n

          s<\/p>\n

          m<\/p>\n

          n<\/p>\n

          i<\/p>\n

          f_i = \\\\mathrm{smn}_i<\/p>\n

          <\/span><\/span>f<\/span><\/span>i<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>=<\/span><\/span><\/span><\/span>smn<\/span><\/span><\/span>i<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span> \u975e\u9012\u51cf，<\/p>\n

          b<\/p>\n

          b<\/p>\n

          <\/span><\/span>b<\/span><\/span><\/span><\/span><\/span> \u7684\u6781\u5dee\u4e3a <\/p>\n

          max<\/p>\n

          \u2061<\/p>\n

          i<\/p>\n

          (<\/p>\n

          a<\/p>\n

          i<\/p>\n

          \u2212<\/p>\n

          s<\/p>\n

          m<\/p>\n

          n<\/p>\n

          i<\/p>\n

          )<\/p>\n

          \\\\max_i(a_i – \\\\mathrm{smn}_i)<\/p>\n

          <\/span><\/span>max<\/span><\/span>i<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>(<\/span>a<\/span><\/span>i<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>\u2212<\/span><\/span><\/span><\/span>smn<\/span><\/span><\/span>i<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>)<\/span><\/span><\/span><\/span><\/span>\u3002<\/li>\n<\/ul>\n<\/li>\n

        • \u6700\u4f18\u6781\u5dee\u4e3a \n

          D<\/p>\n

          =<\/p>\n

          min<\/p>\n

          \u2061<\/p>\n

          {<\/p>\n

          max<\/p>\n

          \u2061<\/p>\n

          i<\/p>\n

          (<\/p>\n

          p<\/p>\n

          m<\/p>\n

          x<\/p>\n

          i<\/p>\n

          \u2212<\/p>\n

          a<\/p>\n

          i<\/p>\n

          )<\/p>\n

          ,<\/p>\n

          \u00a0<\/p>\n

          max<\/p>\n

          \u2061<\/p>\n

          i<\/p>\n

          (<\/p>\n

          a<\/p>\n

          i<\/p>\n

          \u2212<\/p>\n

          s<\/p>\n

          m<\/p>\n

          n<\/p>\n

          i<\/p>\n

          )<\/p>\n

          }<\/p>\n

          D = \\\\min\\\\left\\\\{ \\\\max_i(\\\\mathrm{pmx}_i – a_i),\\\\ \\\\max_i(a_i – \\\\mathrm{smn}_i) \\\\right\\\\}<\/p>\n

          <\/span><\/span>D<\/span><\/span>=<\/span><\/span><\/span><\/span>min<\/span><\/span>{<\/span><\/span><\/span>i<\/span><\/span><\/span><\/span>max<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span>(<\/span>pmx<\/span><\/span><\/span>i<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>\u2212<\/span><\/span>a<\/span><\/span>i<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>)<\/span>,<\/span>\u00a0<\/span><\/span><\/span>i<\/span><\/span><\/span><\/span>max<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span>(<\/span>a<\/span><\/span>i<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>\u2212<\/span><\/span>smn<\/span><\/span><\/span>i<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>)<\/span>}<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span> \u9009\u62e9\u4e0a\u8ff0\u4e24\u79cd\u6784\u9020\u4e2d\u66f4\u4f18\u7684\u4e00\u79cd\u8f93\u51fa\u5373\u53ef（\u4e5f\u53ef\u4ee5\u5728\u6b64\u57fa\u7840\u4e0a\u7edf\u4e00\u5e73\u79fb，\u4f7f\u5f97\u6240\u6709 <\/p>\n

          b<\/p>\n

          i<\/p>\n

          b_i<\/p>\n

          <\/span><\/span>b<\/span><\/span>i<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span> \u90fd\u843d\u5728 <\/p>\n

          [<\/p>\n

          \u2212<\/p>\n

          10<\/p>\n

          10<\/p>\n

          ,<\/p>\n

          10<\/p>\n

          10<\/p>\n

          ]<\/p>\n

          [-10^{10}, 10^{10}]<\/p>\n

          <\/span><\/span>[<\/span>\u2212<\/span>1<\/span>0<\/span><\/span>10<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>,<\/span><\/span>1<\/span>0<\/span><\/span>10<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>]<\/span><\/span><\/span><\/span><\/span> \u5185）\u3002<\/li>\n<\/li>\n

        • \u7531\u4e8e \n

          \u2223<\/p>\n

          a<\/p>\n

          i<\/p>\n

          \u2223<\/p>\n

          \u2264<\/p>\n

          10<\/p>\n

          9<\/p>\n

          |a_i| \\\\le 10^9<\/p>\n

          <\/span><\/span>\u2223<\/span>a<\/span><\/span>i<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>\u2223<\/span><\/span>\u2264<\/span><\/span><\/span><\/span>1<\/span>0<\/span><\/span>9<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>，\u6784\u9020\u51fa\u7684 <\/p>\n

          b<\/p>\n

          i<\/p>\n

          b_i<\/p>\n

          <\/span><\/span>b<\/span><\/span>i<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span> \u7edd\u5bf9\u503c\u4e0d\u4f1a\u8d85\u8fc7 <\/p>\n

          2<\/p>\n

          \u00d7<\/p>\n

          10<\/p>\n

          9<\/p>\n

          2 \\\\times 10^9<\/p>\n

          <\/span><\/span>2<\/span><\/span>\u00d7<\/span><\/span><\/span><\/span>1<\/span>0<\/span><\/span>9<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>，\u5fc5\u7136\u6ee1\u8db3\u7ea6\u675f，\u56e0\u6b64\u7b54\u6848\u6c38\u8fdc\u4e0d\u4f1a\u662f <\/p>\n

          \u2212<\/p>\n

          1<\/p>\n

          -1<\/p>\n

          <\/span><\/span>\u2212<\/span>1<\/span><\/span><\/span><\/span><\/span>（\u8be5\u5206\u652f\u4ec5\u4e3a\u683c\u5f0f\u5b8c\u5907\u4fdd\u7559）\u3002<\/li>\n

        • \u65f6\u95f4\u590d\u6742\u5ea6 \n

          O<\/p>\n

          (<\/p>\n

          n<\/p>\n

          )<\/p>\n

          O(n)<\/p>\n

          <\/span><\/span>O<\/span>(<\/span>n<\/span>)<\/span><\/span><\/span><\/span><\/span>\u3002<\/li>\n<\/ul>\n

          \u89e3\u9898\u601d\u8def<\/h3>\n

          \u672c\u9898\u662f\u6784\u9020 + \u8d2a\u5fc3\u7684\u7ecf\u5178\u95ee\u9898\u3002\u7ed9\u5b9a\u4e00\u4e2a\u957f\u5ea6\u4e3a <\/p>\n

          n<\/p>\n

          n<\/p>\n

          <\/span><\/span>n<\/span><\/span><\/span><\/span><\/span> \u7684\u6570\u7ec4 <\/p>\n

          a<\/p>\n

          a<\/p>\n

          <\/span><\/span>a<\/span><\/span><\/span><\/span><\/span>，\u9700\u8981\u6784\u9020\u4e00\u4e2a\u6570\u7ec4 <\/p>\n

          b<\/p>\n

          b<\/p>\n

          <\/span><\/span>b<\/span><\/span><\/span><\/span><\/span>，\u4f7f\u5f97 <\/p>\n

          a<\/p>\n

          i<\/p>\n

          +<\/p>\n

          b<\/p>\n

          i<\/p>\n

          a_i + b_i<\/p>\n

          <\/span><\/span>a<\/span><\/span>i<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>+<\/span><\/span><\/span><\/span>b<\/span><\/span>i<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span> \u6784\u6210\u975e\u9012\u51cf\u5e8f\u5217，\u5e76\u4e14\u6570\u7ec4 <\/p>\n

          b<\/p>\n

          b<\/p>\n

          <\/span><\/span>b<\/span><\/span><\/span><\/span><\/span> \u7684\u6781\u5dee（\u6700\u5927\u503c\u51cf\u6700\u5c0f\u503c）\u5c3d\u53ef\u80fd\u5c0f\u3002\u8981\u6c42\u8f93\u51fa\u4efb\u610f\u4e00\u4e2a\u6ee1\u8db3\u6761\u4ef6\u7684 <\/p>\n

          b<\/p>\n

          b<\/p>\n

          <\/span><\/span>b<\/span><\/span><\/span><\/span><\/span> \u6570\u7ec4\u3002<\/p>\n

          1. \u95ee\u9898\u7b49\u4ef7\u8f6c\u5316<\/h5>\n
            \n
          • \u8bbe\u6700\u7ec8\u5e8f\u5217\u4e3a \n

            f<\/p>\n

            i<\/p>\n

            =<\/p>\n

            a<\/p>\n

            i<\/p>\n

            +<\/p>\n

            b<\/p>\n

            i<\/p>\n

            f_i = a_i + b_i<\/p>\n

            <\/span><\/span>f<\/span><\/span>i<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>=<\/span><\/span><\/span><\/span>a<\/span><\/span>i<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>+<\/span><\/span><\/span><\/span>b<\/span><\/span>i<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>\u3002\u8981\u6c42 <\/p>\n

            f<\/p>\n

            f<\/p>\n

            <\/span><\/span>f<\/span><\/span><\/span><\/span><\/span> \u975e\u9012\u51cf，\u5373 <\/p>\n

            f<\/p>\n

            1<\/p>\n

            \u2264<\/p>\n

            f<\/p>\n

            2<\/p>\n

            \u2264<\/p>\n

            \u22ef<\/p>\n

            \u2264<\/p>\n

            f<\/p>\n

            n<\/p>\n

            f_1 \\\\le f_2 \\\\le \\\\dots \\\\le f_n<\/p>\n

            <\/span><\/span>f<\/span><\/span>1<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>\u2264<\/span><\/span><\/span><\/span>f<\/span><\/span>2<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>\u2264<\/span><\/span><\/span><\/span>\u22ef<\/span><\/span>\u2264<\/span><\/span><\/span><\/span>f<\/span><\/span>n<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>\u3002<\/li>\n

          • \u6570\u7ec4 \n

            b<\/p>\n

            b<\/p>\n

            <\/span><\/span>b<\/span><\/span><\/span><\/span><\/span> \u7684\u6781\u5dee\u4e3a <\/p>\n

            max<\/p>\n

            \u2061<\/p>\n

            (<\/p>\n

            b<\/p>\n

            i<\/p>\n

            )<\/p>\n

            \u2212<\/p>\n

            min<\/p>\n

            \u2061<\/p>\n

            (<\/p>\n

            b<\/p>\n

            i<\/p>\n

            )<\/p>\n

            =<\/p>\n

            max<\/p>\n

            \u2061<\/p>\n

            (<\/p>\n

            f<\/p>\n

            i<\/p>\n

            \u2212<\/p>\n

            a<\/p>\n

            i<\/p>\n

            )<\/p>\n

            \u2212<\/p>\n

            min<\/p>\n

            \u2061<\/p>\n

            (<\/p>\n

            f<\/p>\n

            i<\/p>\n

            \u2212<\/p>\n

            a<\/p>\n

            i<\/p>\n

            )<\/p>\n

            \\\\max(b_i) – \\\\min(b_i) = \\\\max(f_i – a_i) – \\\\min(f_i – a_i)<\/p>\n

            <\/span><\/span>max<\/span>(<\/span>b<\/span><\/span>i<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>)<\/span><\/span>\u2212<\/span><\/span><\/span><\/span>min<\/span>(<\/span>b<\/span><\/span>i<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>)<\/span><\/span>=<\/span><\/span><\/span><\/span>max<\/span>(<\/span>f<\/span><\/span>i<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>\u2212<\/span><\/span><\/span><\/span>a<\/span><\/span>i<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>)<\/span><\/span>\u2212<\/span><\/span><\/span><\/span>min<\/span>(<\/span>f<\/span><\/span>i<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>\u2212<\/span><\/span><\/span><\/span>a<\/span><\/span>i<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>)<\/span><\/span><\/span><\/span><\/span>\u3002<\/li>\n

          • \u7531\u4e8e\u6211\u4eec\u53ef\u4ee5\u5bf9 \n

            b<\/p>\n

            b<\/p>\n

            <\/span><\/span>b<\/span><\/span><\/span><\/span><\/span> \u6574\u4f53\u5e73\u79fb（\u540c\u65f6\u52a0\u4e0a\u6216\u51cf\u53bb\u4e00\u4e2a\u5e38\u6570），\u6781\u5dee\u4e0d\u53d8，\u56e0\u6b64\u4e0d\u59a8\u4ee4 <\/p>\n

            min<\/p>\n

            \u2061<\/p>\n

            (<\/p>\n

            b<\/p>\n

            i<\/p>\n

            )<\/p>\n

            =<\/p>\n

            0<\/p>\n

            \\\\min(b_i) = 0<\/p>\n

            <\/span><\/span>min<\/span>(<\/span>b<\/span><\/span>i<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>)<\/span><\/span>=<\/span><\/span><\/span><\/span>0<\/span><\/span><\/span><\/span><\/span>，\u5373\u5b58\u5728\u67d0\u4e2a <\/p>\n

            i<\/p>\n

            i<\/p>\n

            <\/span><\/span>i<\/span><\/span><\/span><\/span><\/span> \u4f7f\u5f97 <\/p>\n

            b<\/p>\n

            i<\/p>\n

            =<\/p>\n

            0<\/p>\n

            b_i = 0<\/p>\n

            <\/span><\/span>b<\/span><\/span>i<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>=<\/span><\/span><\/span><\/span>0<\/span><\/span><\/span><\/span><\/span>，\u4ece\u800c <\/p>\n

            f<\/p>\n

            i<\/p>\n

            =<\/p>\n

            a<\/p>\n

            i<\/p>\n

            f_i = a_i<\/p>\n

            <\/span><\/span>f<\/span><\/span>i<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>=<\/span><\/span><\/span><\/span>a<\/span><\/span>i<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>\u3002<\/li>\n

          • \u4e3a\u4e86\u4f7f \n

            f<\/p>\n

            f<\/p>\n

            <\/span><\/span>f<\/span><\/span><\/span><\/span><\/span> \u975e\u9012\u51cf\u4e14 <\/p>\n

            b<\/p>\n

            i<\/p>\n

            \u2265<\/p>\n

            0<\/p>\n

            b_i \\\\ge 0<\/p>\n

            <\/span><\/span>b<\/span><\/span>i<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>\u2265<\/span><\/span><\/span><\/span>0<\/span><\/span><\/span><\/span><\/span>，\u4e00\u4e2a\u81ea\u7136\u7684\u6784\u9020\u662f\u4ee4 <\/p>\n

            f<\/p>\n

            i<\/p>\n

            f_i<\/p>\n

            <\/span><\/span>f<\/span><\/span>i<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span> \u7b49\u4e8e <\/p>\n

            a<\/p>\n

            a<\/p>\n

            <\/span><\/span>a<\/span><\/span><\/span><\/span><\/span> \u7684\u524d\u7f00\u6700\u5927\u503c： <\/p>\n

            f<\/p>\n

            i<\/p>\n

            =<\/p>\n

            pmx<\/p>\n

            i<\/p>\n

            =<\/p>\n

            max<\/p>\n

            \u2061<\/p>\n

            j<\/p>\n

            \u2264<\/p>\n

            i<\/p>\n

            a<\/p>\n

            j<\/p>\n

            f_i = \\\\text{pmx}_i = \\\\max_{j \\\\le i} a_j <\/p>\n

            <\/span><\/span>f<\/span><\/span>i<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>=<\/span><\/span><\/span><\/span>pmx<\/span><\/span><\/span>i<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>=<\/span><\/span><\/span><\/span><\/span>j<\/span>\u2264<\/span>i<\/span><\/span><\/span><\/span><\/span>max<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>a<\/span><\/span>j<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span> \u8fd9\u6837 <\/p>\n

            f<\/p>\n

            i<\/p>\n

            f_i<\/p>\n

            <\/span><\/span>f<\/span><\/span>i<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span> \u663e\u7136\u975e\u9012\u51cf，\u4e14 <\/p>\n

            f<\/p>\n

            i<\/p>\n

            \u2265<\/p>\n

            a<\/p>\n

            i<\/p>\n

            f_i \\\\ge a_i<\/p>\n

            <\/span><\/span>f<\/span><\/span>i<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>\u2265<\/span><\/span><\/span><\/span>a<\/span><\/span>i<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>，\u6240\u4ee5 <\/p>\n

            b<\/p>\n

            i<\/p>\n

            =<\/p>\n

            pmx<\/p>\n

            i<\/p>\n

            \u2212<\/p>\n

            a<\/p>\n

            i<\/p>\n

            \u2265<\/p>\n

            0<\/p>\n

            b_i = \\\\text{pmx}_i – a_i \\\\ge 0<\/p>\n

            <\/span><\/span>b<\/span><\/span>i<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>=<\/span><\/span><\/span><\/span>pmx<\/span><\/span><\/span>i<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>\u2212<\/span><\/span><\/span><\/span>a<\/span><\/span>i<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>\u2265<\/span><\/span><\/span><\/span>0<\/span><\/span><\/span><\/span><\/span>\u3002\u5f53 <\/p>\n

            a<\/p>\n

            i<\/p>\n

            a_i<\/p>\n

            <\/span><\/span>a<\/span><\/span>i<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span> \u672c\u8eab\u662f\u524d\u7f00\u6700\u5927\u503c\u65f6，<\/p>\n

            b<\/p>\n

            i<\/p>\n

            =<\/p>\n

            0<\/p>\n

            b_i = 0<\/p>\n

            <\/span><\/span>b<\/span><\/span>i<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>=<\/span><\/span><\/span><\/span>0<\/span><\/span><\/span><\/span><\/span>，\u56e0\u6b64 <\/p>\n

            min<\/p>\n

            \u2061<\/p>\n

            (<\/p>\n

            b<\/p>\n

            i<\/p>\n

            )<\/p>\n

            =<\/p>\n

            0<\/p>\n

            \\\\min(b_i) = 0<\/p>\n

            <\/span><\/span>min<\/span>(<\/span>b<\/span><\/span>i<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>)<\/span><\/span>=<\/span><\/span><\/span><\/span>0<\/span><\/span><\/span><\/span><\/span>\u3002<\/li>\n

          • \u6b64\u65f6 \n

            b<\/p>\n

            b<\/p>\n

            <\/span><\/span>b<\/span><\/span><\/span><\/span><\/span> \u7684\u6781\u5dee\u4e3a： <\/p>\n

            max<\/p>\n

            \u2061<\/p>\n

            i<\/p>\n

            b<\/p>\n

            i<\/p>\n

            \u2212<\/p>\n

            min<\/p>\n

            \u2061<\/p>\n

            i<\/p>\n

            b<\/p>\n

            i<\/p>\n

            =<\/p>\n

            max<\/p>\n

            \u2061<\/p>\n

            i<\/p>\n

            (<\/p>\n

            pmx<\/p>\n

            i<\/p>\n

            \u2212<\/p>\n

            a<\/p>\n

            i<\/p>\n

            )<\/p>\n

            \u2212<\/p>\n

            0<\/p>\n

            =<\/p>\n

            max<\/p>\n

            \u2061<\/p>\n

            i<\/p>\n

            (<\/p>\n

            pmx<\/p>\n

            i<\/p>\n

            \u2212<\/p>\n

            a<\/p>\n

            i<\/p>\n

            )<\/p>\n

            \\\\max_i b_i – \\\\min_i b_i = \\\\max_i (\\\\text{pmx}_i – a_i) – 0 = \\\\max_i (\\\\text{pmx}_i – a_i) <\/p>\n

            <\/span><\/span><\/span>i<\/span><\/span><\/span><\/span>max<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>b<\/span><\/span>i<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>\u2212<\/span><\/span><\/span><\/span><\/span>i<\/span><\/span><\/span><\/span>min<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>b<\/span><\/span>i<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>=<\/span><\/span><\/span><\/span><\/span>i<\/span><\/span><\/span><\/span>max<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span>(<\/span>pmx<\/span><\/span><\/span>i<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>\u2212<\/span><\/span><\/span><\/span>a<\/span><\/span>i<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>)<\/span><\/span>\u2212<\/span><\/span><\/span><\/span>0<\/span><\/span>=<\/span><\/span><\/span><\/span><\/span>i<\/span><\/span><\/span><\/span>max<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span>(<\/span>pmx<\/span><\/span><\/span>i<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>\u2212<\/span><\/span><\/span><\/span>a<\/span><\/span>i<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>)<\/span><\/span><\/span><\/span><\/span><\/span> \u53ef\u4ee5\u8bc1\u660e，\u8fd9\u4e2a\u503c\u5c31\u662f\u6240\u6709\u5408\u6cd5\u6784\u9020\u4e2d\u6781\u5dee\u7684\u6700\u5c0f\u503c（\u4e0e\u53e6\u4e00\u79cd\u540e\u7f00\u6700\u5c0f\u503c\u6784\u9020\u5f97\u5230\u7684\u6781\u5dee\u76f8\u7b49）\u3002\u56e0\u6b64\u8be5\u6784\u9020\u5373\u4e3a\u6700\u4f18\u89e3\u3002<\/li>\n<\/ul>\n

            2. \u7b97\u6cd5\u5b9e\u73b0<\/h5>\n
          • \u8bfb\u5165 \n

            n<\/p>\n

            n<\/p>\n

            <\/span><\/span>n<\/span><\/span><\/span><\/span><\/span> \u548c\u6570\u7ec4 <\/p>\n

            a<\/p>\n

            a<\/p>\n

            <\/span><\/span>a<\/span><\/span><\/span><\/span><\/span>\u3002<\/li>\n

          • \u521d\u59cb\u5316 mx \u4e3a\u4e00\u4e2a\u6781\u5c0f\u503c（\u5982 -INF），\u7528\u4e8e\u8bb0\u5f55\u5f53\u524d\u524d\u7f00\u6700\u5927\u503c\u3002<\/li>\n
          • \u904d\u5386 \n

            i<\/p>\n

            =<\/p>\n

            1<\/p>\n

            \u223c<\/p>\n

            n<\/p>\n

            i = 1 \\\\sim n<\/p>\n

            <\/span><\/span>i<\/span><\/span>=<\/span><\/span><\/span><\/span>1<\/span><\/span>\u223c<\/span><\/span><\/span><\/span>n<\/span><\/span><\/span><\/span><\/span>： <\/p>\n

              \n
            • \u66f4\u65b0 mx = max(mx, a[i])\u3002<\/li>\n
            • \u8ba1\u7b97 b[i] = mx – a[i]\u3002<\/li>\n<\/ul>\n<\/li>\n
            • \u8f93\u51fa\u6570\u7ec4 b\u3002<\/li>\n
              3. \u590d\u6742\u5ea6\u5206\u6790<\/h5>\n
                \n
              • \u65f6\u95f4\u590d\u6742\u5ea6：\u53ea\u9700\u4e00\u6b21\u7ebf\u6027\u904d\u5386，\n

                O<\/p>\n

                (<\/p>\n

                n<\/p>\n

                )<\/p>\n

                O(n)<\/p>\n

                <\/span><\/span>O<\/span>(<\/span>n<\/span>)<\/span><\/span><\/span><\/span><\/span>\u3002<\/p>\n

                n<\/p>\n

                \u2264<\/p>\n

                2<\/p>\n

                \u00d7<\/p>\n

                10<\/p>\n

                5<\/p>\n

                n \\\\le 2 \\\\times 10^5<\/p>\n

                <\/span><\/span>n<\/span><\/span>\u2264<\/span><\/span><\/span><\/span>2<\/span><\/span>\u00d7<\/span><\/span><\/span><\/span>1<\/span>0<\/span><\/span>5<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>，\u975e\u5e38\u5feb\u3002<\/li>\n

              • \u7a7a\u95f4\u590d\u6742\u5ea6：\u9700\u8981\u5b58\u50a8\u6570\u7ec4 \n

                a<\/p>\n

                a<\/p>\n

                <\/span><\/span>a<\/span><\/span><\/span><\/span><\/span> \u548c <\/p>\n

                b<\/p>\n

                b<\/p>\n

                <\/span><\/span>b<\/span><\/span><\/span><\/span><\/span>，<\/p>\n

                O<\/p>\n

                (<\/p>\n

                n<\/p>\n

                )<\/p>\n

                O(n)<\/p>\n

                <\/span><\/span>O<\/span>(<\/span>n<\/span>)<\/span><\/span><\/span><\/span><\/span>\u3002\u4e5f\u53ef\u4ee5\u8fb9\u8bfb\u8fb9\u7b97，\u53ea\u5b58 <\/p>\n

                b<\/p>\n

                b<\/p>\n

                <\/span><\/span>b<\/span><\/span><\/span><\/span><\/span>\u3002<\/li>\n<\/ul>\n

                \u603b\u7ed3<\/h4>\n

                \u901a\u8fc7\u4ee4\u6700\u7ec8\u5e8f\u5217\u7b49\u4e8e\u539f\u6570\u7ec4\u7684\u524d\u7f00\u6700\u5927\u503c，\u6784\u9020\u51fa\u7684 <\/p>\n

                b<\/p>\n

                i<\/p>\n

                =<\/p>\n

                pmx<\/p>\n

                i<\/p>\n

                \u2212<\/p>\n

                a<\/p>\n

                i<\/p>\n

                b_i = \\\\text{pmx}_i – a_i<\/p>\n

                <\/span><\/span>b<\/span><\/span>i<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>=<\/span><\/span><\/span><\/span>pmx<\/span><\/span><\/span>i<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>\u2212<\/span><\/span><\/span><\/span>a<\/span><\/span>i<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span> \u4fdd\u8bc1\u4e86\u6700\u7ec8\u5e8f\u5217\u975e\u9012\u51cf，\u4e14 <\/p>\n

                b<\/p>\n

                i<\/p>\n

                \u2265<\/p>\n

                0<\/p>\n

                b_i \\\\ge 0<\/p>\n

                <\/span><\/span>b<\/span><\/span>i<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>\u2265<\/span><\/span><\/span><\/span>0<\/span><\/span><\/span><\/span><\/span>，\u6700\u5c0f\u503c\u5fc5\u4e3a <\/p>\n

                0<\/p>\n

                0<\/p>\n

                <\/span><\/span>0<\/span><\/span><\/span><\/span><\/span>\u3002\u6b64\u65f6\u6781\u5dee\u7b49\u4e8e\u6700\u5927\u7684\u524d\u7f00\u5dee\u503c，\u8be5\u503c\u88ab\u8bc1\u660e\u662f\u6700\u5c0f\u7684\u3002\u7b97\u6cd5\u7b80\u5355\u9ad8\u6548，\u76f4\u63a5\u8f93\u51fa\u5373\u53ef\u3002<\/p>\n

                \u4ee3\u7801\u7b80\u8981\u8bf4\u660e<\/h4>\n
                  \n
                • \u4f7f\u7528 long long \u5b58\u50a8\u6570\u7ec4，\u9632\u6b62\u6ea2\u51fa\u3002<\/li>\n
                • INF \u53d6 0x3f3f3f3f3f3f3f3f \u4f5c\u4e3a\u6781\u5c0f\u503c\u521d\u59cb\u5316 mx\u3002<\/li>\n
                • \u904d\u5386\u6570\u7ec4，\u7ef4\u62a4\u524d\u7f00\u6700\u5927\u503c mx，\u540c\u65f6\u8ba1\u7b97 b[i] = mx – a[i]\u3002<\/li>\n
                • \u6700\u540e\u6309\u987a\u5e8f\u8f93\u51fa b \u6570\u7ec4，\u7a7a\u683c\u5206\u9694\u3002<\/li>\n<\/ul>\n

                  \u4ee3\u7801\u5185\u5bb9<\/h3>\n

                  #<\/span>include<\/span> <bits\/stdc++.h><\/span><\/span>
                  \nusing<\/span> namespace<\/span> std;<\/span><\/p>\n

                  #<\/span>define<\/span> endl<\/span> '\\\\n'<\/span><\/span>
                  \ntypedef<\/span> long<\/span> long<\/span> ll;<\/span>
                  \ntypedef<\/span> unsigned<\/span> long<\/span> long<\/span> ull;<\/span>
                  \ntypedef<\/span> vector<<\/span>vector<<\/span>ll>><\/span> vvt;<\/span>
                  \ntypedef<\/span> pair<<\/span>ll,<\/span>ll><\/span> pll;<\/span>
                  \nconst<\/span> ll N=<\/span>1e3<\/span>+<\/span>10<\/span>;<\/span>
                  \nconst<\/span> ll INF=<\/span>0x3f3f3f3f3f3f3f3f<\/span>;<\/span>
                  \nconst<\/span> ll M=<\/span>1e6<\/span>+<\/span>10<\/span>;<\/span>
                  \nconst<\/span> ll mod=<\/span>1000000007<\/span>;<\/span><\/p>\n

                  ll a[<\/span>200005<\/span>]<\/span>;<\/span>
                  \nll b[<\/span>200005<\/span>]<\/span>;<\/span><\/p>\n

                  void<\/span> solve<\/span>(<\/span>)<\/span>
                  \n{<\/span>
                  \n ll n;<\/span>
                  \n cin>><\/span>n;<\/span>
                  \n for<\/span>(<\/span>ll i=<\/span>1<\/span>;<\/span>i<=<\/span>n;<\/span>i++<\/span>)<\/span> cin>><\/span>a[<\/span>i]<\/span>;<\/span>
                  \n ll mx=<\/span>–<\/span>INF;<\/span>
                  \n for<\/span>(<\/span>ll i=<\/span>1<\/span>;<\/span>i<=<\/span>n;<\/span>i++<\/span>)<\/span>
                  \n {<\/span>
                  \n if<\/span>(<\/span>a[<\/span>i]<\/span>><\/span>mx)<\/span> mx=<\/span>a[<\/span>i]<\/span>;<\/span>
                  \n b[<\/span>i]<\/span>=<\/span>mx–<\/span>a[<\/span>i]<\/span>;<\/span>
                  \n }<\/span>
                  \n for<\/span>(<\/span>ll i=<\/span>1<\/span>;<\/span>i<=<\/span>n;<\/span>i++<\/span>)<\/span> cout<<<\/span>b[<\/span>i]<\/span><<<\/span>" "<\/span>;<\/span>
                  \n cout<<<\/span>endl;<\/span>
                  \n}<\/span><\/p>\n

                  int<\/span> main<\/span>(<\/span>)<\/span>
                  \n{<\/span>
                  \n ios::<\/span>sync_with_stdio<\/span>(<\/span>0<\/span>)<\/span>;<\/span>
                  \n cin.<\/span>tie<\/span>(<\/span>0<\/span>)<\/span>,<\/span>cout.<\/span>tie<\/span>(<\/span>0<\/span>)<\/span>;<\/span>
                  \n int<\/span> t=<\/span>1<\/span>;<\/span><\/p>\n

                  while<\/span>(<\/span>t—<\/span>)<\/span> solve<\/span>(<\/span>)<\/span>;<\/span>
                  \n return<\/span> 0<\/span>;<\/span>
                  \n}<\/span><\/p>\n","protected":false},"excerpt":{"rendered":"

                  \u5c0f\u82ef\u7684\u6570\u7ec4\u6784\u9020 \u65f6\u95f4\u9650\u5236：1 \u79d2 \u7a7a\u95f4\u9650\u5236：256M \u7f51\u9875\u94fe\u63a5
                  \n\u725b\u5ba2tracker
                  \n\u725b\u5ba2tracker & \u6bcf\u65e5\u4e00\u9898，\u5b8c\u6210\u6bcf\u65e5\u6253\u5361，\u5373\u53ef\u83b7\u5f97\u725b\u5e01\u3002\u83b7\u5f97\u76f8\u5e94\u6570\u91cf\u7684\u725b\u5e01，\u80fd\u5728\u3010\u725b\u5e01\u5151\u6362\u4e2d\u5fc3\u3011，\u6362\u53d6\u76f8\u5e94\u5956\u54c1！\u52a9\u529b\u6bcf\u65e5\u6709\u9898\u505a，\u4e30\u76c8\u725b\u5e01\u65e5\u76ca\u591a！ \u9898\u76ee\u63cf\u8ff0
                  \n\u5927\u767d\u718a\u7ed9\u4e86\u5c0f\u82ef\u4e00\u4e2a\u957f\u5ea6\u4e3a nnn \u7684\u6570\u7ec4 aaa，\u4ed6\u5e0c\u671b\u5c0f\u82ef\u5c06\u6570\u7ec4 aaa \u53d8\u6210\u6709\u5e8f&<\/p>\n","protected":false},"author":2,"featured_media":112626,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1],"tags":[11653,55,1813,427],"topic":[],"class_list":["post-112627","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-server","tag-11653","tag-c","tag-1813","tag-427"],"yoast_head":"\n\u5c0f\u82ef\u7684\u6570\u7ec4\u6784\u9020\u3010\u725b\u5ba2tracker & \u6bcf\u65e5\u4e00\u9898\u3011 - \u7f51\u7855\u4e92\u8054\u5e2e\u52a9\u4e2d\u5fc3<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/www.wsisp.com\/helps\/112627.html\" \/>\n<meta property=\"og:locale\" content=\"zh_CN\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"\u5c0f\u82ef\u7684\u6570\u7ec4\u6784\u9020\u3010\u725b\u5ba2tracker & \u6bcf\u65e5\u4e00\u9898\u3011 - 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