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\ No newline at end of file diff --git a/alumni/index.html b/alumni/index.html index 1cb7a52f..fbdb01d5 100644 --- a/alumni/index.html +++ b/alumni/index.html @@ -1,26 +1,23 @@ - + - -Our Alumni | Computerization + +Our Alumni | Computerization - - - + + + -
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我们的过往成员

如果你是信息化社的过往成员，并且希望我们更新你的个人信息或链接，请在 Computerization/docusaurus 仓库中提交 issue 或 pull request。你也可以微信联系我们。

注意，有两处文件需要修改：中文版和英文版。

  • 2023 届
    张驰

    张驰

    UCI Arts '27. Interested in Digital Media Arts and CGI in general.

    陆雨齐

    陆雨齐

    Brandeis CS '27. Computer Graphics Hobbyist.

  • 2022 届
    陈思达

    陈思达

    All-rounded computer science enthusiast

    郭培扬

    郭培扬

    Math and machine learning researcher, composer and piano performer

    王昊天

    王昊天

    Life-long environmental science and computer science studier

    杨书

    杨书

    Enjoying STEM study and research, but not necessarily working in this field

    曲乐成

    曲乐成

    Interested in cryptography, human-computer interaction, graphics design

  • 2021 届
    杨灿

    杨灿

    UC Berkeley CS '25

    许甲乐

    许甲乐

    日本留学生、情報工学方面、東工大目指します、オタク。

  • 2020 届
    舒烨

    舒烨

    Williams College '24, Interested in information security, network, and Linux kernel

  • 2019 届
    仲宇辰

    仲宇辰

    ex-OIer / CUHK Pure Math 23'

    甘佳旻

    甘佳旻

    Rochester 2023 | Intended ECE & CS double major | Currently working on Hardware Security, Side-channel Attack -

  • 2018 届
    杨雨笛

    杨雨笛

    UR MATH+CS 22'

    顾贝妮

    顾贝妮

    UPenn Engineering '2022, Digital Media Design, Interest: Computer Graphics, Interactive Technologies, CG generalist -

    张扬

    张扬

    NYU, Math & CS double major

  • 2017 届
    周天祎

    周天祎

    Facebook SWE | Cornell Engineering '21

    张秦子

    张秦子

    Boston College, Math (+CS Phys minor) | Interest: Applied Math, Analysis; Distributed System, Machine Learning +

    我们的过往成员

    如果你是信息化社的过往成员，并且希望我们更新你的个人信息或链接，请在 Computerization/docusaurus 仓库中提交 issue 或 pull request。你也可以微信联系我们。

    注意，有两处文件需要修改：中文版和英文版。

    • 2023 届
      张驰

      张驰

      UCI Arts '27. Interested in Digital Media Arts and CGI in general.

      陆雨齐

      陆雨齐

      Brandeis CS '27. Computer Graphics Hobbyist.

    • 2022 届
      陈思达

      陈思达

      All-rounded computer science enthusiast

      郭培扬

      郭培扬

      Math and machine learning researcher, composer and piano performer

      王昊天

      王昊天

      Life-long environmental science and computer science studier

      杨书

      杨书

      Enjoying STEM study and research, but not necessarily working in this field

      曲乐成

      曲乐成

      Interested in cryptography, human-computer interaction, graphics design

    • 2021 届
      杨灿

      杨灿

      UC Berkeley CS '25

      许甲乐

      许甲乐

      日本留学生、情報工学方面、東工大目指します、オタク。

    • 2020 届
      舒烨

      舒烨

      Williams College '24, Interested in information security, network, and Linux kernel

    • 2019 届
      仲宇辰

      仲宇辰

      ex-OIer / CUHK Pure Math 23'

      甘佳旻

      甘佳旻

      Rochester 2023 | Intended ECE & CS double major | Currently working on Hardware Security, Side-channel Attack +

    • 2018 届
      杨雨笛

      杨雨笛

      UR MATH+CS 22'

      顾贝妮

      顾贝妮

      UPenn Engineering '2022, Digital Media Design, Interest: Computer Graphics, Interactive Technologies, CG generalist +

      张扬

      张扬

      NYU, Math & CS double major

    • 2017 届
      周天祎

      周天祎

      Facebook SWE | Cornell Engineering '21

      张秦子

      张秦子

      Boston College, Math (+CS Phys minor) | Interest: Applied Math, Analysis; Distributed System, Machine Learning

      Sam Hu

      Sam Hu

      Brandeis / CoSi & Math Major

      Tim Zhu H.Maru

      Tim Zhu H.Maru

      Psychology / Philosophy | Interest: Positive Psychology; Self-help (and its discontents); Piano Performing and Arrangement -

    • 2016 届
      杜佳梦

      杜佳梦

      CMU ECE+CS Class of 2020

      昂国昊

      昂国昊

      UCB CS+Applied Math Class of 2020 / Googler

      杨霁初

      杨霁初

      Duke 2020'

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  • 2016 届
    杜佳梦

    杜佳梦

    CMU ECE+CS Class of 2020

    昂国昊

    昂国昊

    UCB CS+Applied Math Class of 2020 / Googler

    杨霁初

    杨霁初

    Duke 2020'

文档
社区
社交
世外信息化社 © 2023 版权所有. 使用 Docusaurus 搭建.
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3"})]})}),(0,a.jsx)(n.p,{children:"Every day, Farmer John milks his 8 dairy cows, named Bessie, Buttercup, Belinda, Beatrice, Bella, Blue, Betsy, and Sue."}),(0,a.jsxs)(n.p,{children:["The cows are rather picky, unfortunately, and require that Farmer John milks them in an order that respects ",(0,a.jsx)(n.span,{className:"math math-inline",children:(0,a.jsxs)(n.span,{className:"katex",children:[(0,a.jsx)(n.span,{className:"katex-mathml",children:(0,a.jsx)(n.math,{xmlns:"http://www.w3.org/1998/Math/MathML",children:(0,a.jsxs)(n.semantics,{children:[(0,a.jsx)(n.mrow,{children:(0,a.jsx)(n.mi,{children:"N"})}),(0,a.jsx)(n.annotation,{encoding:"application/x-tex",children:"N"})]})})}),(0,a.jsx)(n.span,{className:"katex-html","aria-hidden":"true",children:(0,a.jsxs)(n.span,{className:"base",children:[(0,a.jsx)(n.span,{className:"strut",style:{height:"0.6833em"}}),(0,a.jsx)(n.span,{className:"mord mathnormal",style:{marginRight:"0.10903em"},children:"N"})]})})]})}),' constraints. Each constraint is of the form "',(0,a.jsx)(n.span,{className:"math math-inline",children:(0,a.jsxs)(n.span,{className:"katex",children:[(0,a.jsx)(n.span,{className:"katex-mathml",children:(0,a.jsx)(n.math,{xmlns:"http://www.w3.org/1998/Math/MathML",children:(0,a.jsxs)(n.semantics,{children:[(0,a.jsx)(n.mrow,{children:(0,a.jsx)(n.mi,{children:"X"})}),(0,a.jsx)(n.annotation,{encoding:"application/x-tex",children:"X"})]})})}),(0,a.jsx)(n.span,{className:"katex-html","aria-hidden":"true",children:(0,a.jsxs)(n.span,{className:"base",children:[(0,a.jsx)(n.span,{className:"strut",style:{height:"0.6833em"}}),(0,a.jsx)(n.span,{className:"mord mathnormal",style:{marginRight:"0.07847em"},children:"X"})]})})]})})," must be milked beside ",(0,a.jsx)(n.span,{className:"math math-inline",children:(0,a.jsxs)(n.span,{className:"katex",children:[(0,a.jsx)(n.span,{className:"katex-mathml",children:(0,a.jsx)(n.math,{xmlns:"http://www.w3.org/1998/Math/MathML",children:(0,a.jsxs)(n.semantics,{children:[(0,a.jsx)(n.mrow,{children:(0,a.jsx)(n.mi,{children:"Y"})}),(0,a.jsx)(n.annotation,{encoding:"application/x-tex",children:"Y"})]})})}),(0,a.jsx)(n.span,{className:"katex-html","aria-hidden":"true",children:(0,a.jsxs)(n.span,{className:"base",children:[(0,a.jsx)(n.span,{className:"strut",style:{height:"0.6833em"}}),(0,a.jsx)(n.span,{className:"mord mathnormal",style:{marginRight:"0.22222em"},children:"Y"})]})})]})}),'", stipulating that cow ',(0,a.jsx)(n.span,{className:"math math-inline",children:(0,a.jsxs)(n.span,{className:"katex",children:[(0,a.jsx)(n.span,{className:"katex-mathml",children:(0,a.jsx)(n.math,{xmlns:"http://www.w3.org/1998/Math/MathML",children:(0,a.jsxs)(n.semantics,{children:[(0,a.jsx)(n.mrow,{children:(0,a.jsx)(n.mi,{children:"X"})}),(0,a.jsx)(n.annotation,{encoding:"application/x-tex",children:"X"})]})})}),(0,a.jsx)(n.span,{className:"katex-html","aria-hidden":"true",children:(0,a.jsxs)(n.span,{className:"base",children:[(0,a.jsx)(n.span,{className:"strut",style:{height:"0.6833em"}}),(0,a.jsx)(n.span,{className:"mord mathnormal",style:{marginRight:"0.07847em"},children:"X"})]})})]})})," must appear in the milking order either directly after cow ",(0,a.jsx)(n.span,{className:"math math-inline",children:(0,a.jsxs)(n.span,{className:"katex",children:[(0,a.jsx)(n.span,{className:"katex-mathml",children:(0,a.jsx)(n.math,{xmlns:"http://www.w3.org/1998/Math/MathML",children:(0,a.jsxs)(n.semantics,{children:[(0,a.jsx)(n.mrow,{children:(0,a.jsx)(n.mi,{children:"Y"})}),(0,a.jsx)(n.annotation,{encoding:"application/x-tex",children:"Y"})]})})}),(0,a.jsx)(n.span,{className:"katex-html","aria-hidden":"true",children:(0,a.jsxs)(n.span,{className:"base",children:[(0,a.jsx)(n.span,{className:"strut",style:{height:"0.6833em"}}),(0,a.jsx)(n.span,{className:"mord mathnormal",style:{marginRight:"0.22222em"},children:"Y"})]})})]})})," or directly before cow ",(0,a.jsx)(n.span,{className:"math math-inline",children:(0,a.jsxs)(n.span,{className:"katex",children:[(0,a.jsx)(n.span,{className:"katex-mathml",children:(0,a.jsx)(n.math,{xmlns:"http://www.w3.org/1998/Math/MathML",children:(0,a.jsxs)(n.semantics,{children:[(0,a.jsx)(n.mrow,{children:(0,a.jsx)(n.mi,{children:"Y"})}),(0,a.jsx)(n.annotation,{encoding:"application/x-tex",children:"Y"})]})})}),(0,a.jsx)(n.span,{className:"katex-html","aria-hidden":"true",children:(0,a.jsxs)(n.span,{className:"base",children:[(0,a.jsx)(n.span,{className:"strut",style:{height:"0.6833em"}}),(0,a.jsx)(n.span,{className:"mord mathnormal",style:{marginRight:"0.22222em"},children:"Y"})]})})]})}),"."]}),(0,a.jsx)(n.p,{children:"Please help Farmer John determine an ordering of his cows that satisfies all of these required constraints. It is guaranteed that an ordering is always possible. If several orderings work, then please output the one that is alphabetically first. That is, the first cow should have the alphabetically lowest name of all possible cows that could appear first in any valid ordering. Among all orderings starting with this same alphabetically-first cow, the second cow should be alphabetically lowest among all possible valid orderings, and so on."}),(0,a.jsxs)(n.table,{children:[(0,a.jsx)(n.thead,{children:(0,a.jsxs)(n.tr,{children:[(0,a.jsx)(n.th,{children:"\u6570\u636e\u89c4\u6a21"}),(0,a.jsx)(n.th,{children:"\u5185\u5b58\u9650\u5236"}),(0,a.jsx)(n.th,{children:"\u8fd0\u884c\u65f6\u95f4"})]})}),(0,a.jsx)(n.tbody,{children:(0,a.jsxs)(n.tr,{children:[(0,a.jsx)(n.td,{children:(0,a.jsx)(n.span,{className:"math 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\u51fd\u6570\u3002\u8fd9\u4e5f\u662f\u5178\u578b\u7684\u94dc\u7ec4\u601d\u8def\uff1a\u56e0\u4e3a\u89c4\u6a21\u6781\u5c0f\uff0c\u53ef\u4ee5\u66b4\u529b\u679a\u4e3e\u4e4b\u540e",(0,a.jsx)(n.em,{children:"\u6311\u9009"}),"\u89e3\u800c\u4e0d\u662f",(0,a.jsx)(n.em,{children:"\u6784\u9020"}),"\u89e3\u3002"]}),"\n",(0,a.jsx)(n.p,{children:"\u5f53\u7136\uff0c\u8fd9\u79cd\u65b9\u6cd5\u5bf9\u4e8e\u6709\u4e00\u4e9b\u7ade\u8d5b\u7ecf\u9a8c\u7684\u53c2\u8d5b\u8005\u6765\u8bf4\u53cd\u5012\u4e0d\u5bb9\u6613\u60f3\u5230\u3002\u8fd9\u4e9b\u53c2\u8d5b\u8005\u4f1a\u8bd5\u56fe\u901a\u8fc7\u7ea6\u675f\u6761\u4ef6\u6765\u6784\u9020\u89e3\u3002\u8fd9\u9700\u8981\u4e00\u70b9\u70b9\u8d2a\u5fc3\u7684\u601d\u60f3\uff1a\u4e3a\u4e86\u8ba9\u6392\u5217\u5b57\u5178\u5e8f\u6700\u5c0f\uff0c\u5c31\u4e00\u5b9a\u8981\u8ba9\u6bcf\u4e00\u4f4d\u4e0a\u7684\u5976\u725b\u5b57\u5178\u5e8f\u5c3d\u53ef\u80fd\u5c0f\u3002\u6211\u4eec\u53ef\u4ee5\u628a\u4e00\u4e2a\u6392\u5217\u770b\u4f5c\u4e00\u4e2a\u201c\u7ea6\u675f\u94fe\u201d\uff0c\u5176\u4e2d\u6bcf\u4e00\u5934\u5976\u725b\u90fd\u56e0\u4e3a\u5b83\u76f8\u90bb\u4f4d\u7f6e\u5976\u725b\u7684\u7ea6\u675f\u800c\u53ea\u6709\u552f\u4e00\u7684\u53ef\u80fd\u3002\u6bcf\u5b8c\u6210\u4e00\u6761\u7ea6\u675f\u94fe\u7684\u8fde\u63a5\u540e\uff0c\u90fd\u53ef\u4ee5\u4ece\u5269\u4e0b\u672a\u88ab\u5b89\u6392\u8fdb\u961f\u7684\u5976\u725b\u4e2d\u6311\u9009\u7f16\u53f7\u6700\u5c0f\u7684\uff0c\u4f46\u4e0d\u80fd\u662f\u6709\u4e24\u4e2a\u672a\u6ee1\u8db3\u7684\u7ea6\u675f\u7684\uff08\u56e0\u4e3a\u4e00\u4e2a\u201c\u7ea6\u675f\u94fe\u201d\u4e2d\u5934\u548c\u5c3e\u7684\u5976\u725b\u90fd\u53ea\u80fd\u548c\u5b83\u76f8\u90bb\u7684\u4e00\u5934\u5976\u725b\u95f4\u6709\u7ea6\u675f\uff09\uff0c\u7136\u540e\u5728\u786e\u5b9a\u4e86\u94fe\u5934\u4e4b\u540e\uff0c\u5c31\u53ef\u4ee5\u975e\u5e38\u81ea\u7136\u5730\u5f97\u5230\u6574\u4e2a\u94fe\u6761\u3002\u91cd\u590d\u540c\u6837\u7684\u6784\u9020\u8fc7\u7a0b\uff0c\u76f4\u5230\u6240\u6709\u5976\u725b\u90fd\u88ab\u6dfb\u52a0\u5165\u961f\u5217\u3002"}),"\n",(0,a.jsx)(n.h2,{id:"\u7a0b\u5e8f",children:"\u7a0b\u5e8f"}),"\n",(0,a.jsx)(n.p,{children:"\u66b4\u529b\u6cd5\u7684\u4ee3\u7801\uff1a"}),"\n",(0,a.jsx)(n.pre,{children:(0,a.jsx)(n.code,{className:"language-cpp",children:'/**\n * Adopted from official solution at\n * http://www.usaco.org/current/data/sol_lineup_bronze_dec19.html\n */\n#include \n#include \n#include \n#include \n\nusing namespace std;\n\nstring names[8] = {"Beatrice", "Belinda", "Bella", "Bessie", "Betsy", "Blue", "Buttercup", "Sue"};\n// beside_a \u548c beside_b \u4e2d\u5bf9\u5e94\u4e0b\u6807\u7684\u5976\u725b\u8868\u793a\u4e00\u7ec4\u7ea6\u675f\u5173\u7cfb\nvector beside_a, beside_b;\nint n;\n\nint getID(string name) {\n for (int i = 0; i < 8; i++)\n if (names[i] == name)\n return i;\n return -1;\n}\n\nbool satisfies_constraints() {\n for (int i = 0; i < n; i++)\n if (abs(getID(beside_a[i]) - getID(beside_b[i])) != 1)\n return false;\n return true;\n}\n\nint main() {\n ifstream fin("lineup.in");\n ofstream fout("lineup.out");\n fin >> n;\n string a, b;\n for (int i = 0; i < n; i++) {\n fin >> a >> b >> b >> b >> b >> b;\n beside_a.push_back(a);\n beside_b.push_back(b);\n }\n // \u904d\u5386\u6240\u6709\u76848\u5934\u5976\u725b\u7684\u6392\u5217\uff0c\u8f93\u51fa\u7b2c\u4e00\u4e2a\u6ee1\u8db3\u7ea6\u675f\u7684\u89e3\n do {\n if (satisfies_constraints()) {\n for (int i = 0; i < 8; i++)\n fout << names[i] << endl;\n return 0;\n }\n } while (next_permutation(names.begin(), names.end()));\n return 0;\n}\n'})}),"\n",(0,a.jsx)(n.p,{children:"\u6784\u9020\u6cd5\u7684\u4ee3\u7801\uff1a"}),"\n",(0,a.jsx)(n.pre,{children:(0,a.jsx)(n.code,{className:"language-cpp",children:'#include \n#include \n\nusing namespace std;\n\nstruct cow {\n int adj[2]; // \u9700\u8981\u548c\u8fd9\u5934\u5976\u725b\u76f8\u90bb\u7684\u5976\u725b\u7684ID\n int adjcnt; // \u8fd9\u5934\u5976\u725b\u4e00\u5171\u6709\u51e0\u4e2a\u7ea6\u675f\u6761\u4ef6\uff1b\u51b3\u5b9a\u4e86\u80fd\u5426\u628a\u5b83\u653e\u5728\u7ea6\u675f\u94fe\u7684\u5f00\u5934\n bool chosen; // \u662f\u5426\u5df2\u7ecf\u8fdb\u961f\n} cows[8];\nstring names[8] = {"Beatrice", "Belinda", "Bella", "Bessie", "Betsy", "Blue", "Buttercup", "Sue"};\n\nint getID(string name) {\n for(int i = 0; i < 8; i++)\n if(names[i] == name)\n return i;\n return -1;\n}\n\nint main() {\n ifstream fin("lineup.in");\n ofstream fout("lineup.out");\n int n;\n fin >> n;\n string a, b;\n for (int i = 0; i < n; i++) {\n fin >> a >> b >> b >> b >> b >> b;\n cows[getID(a)].adj[cows[getID(a)].adjcnt++] = getID(b);\n cows[getID(b)].adj[cows[getID(b)].adjcnt++] = getID(a);\n }\n int prev = -1;\n // \u6bcf\u6b21\u5faa\u73af\u5411\u961f\u5217\u4e2d\u6dfb\u52a0\u4e00\u5934\u5976\u725b\uff1b\u5982\u679c\u4e0a\u4e00\u5934\u5976\u725b\u6ca1\u6709\u66f4\u591a\u7684\u7ea6\u675f\u6761\u4ef6\u4e86\uff0c\u5219\u53ef\u4ee5\u9009\u62e9\u4e00\u5934\u65b0\u7684\uff0c\u5426\u5219\u9009\u62e9\u9700\u8981\u548c\u4e0a\u4e00\u5934\u76f8\u90bb\u7684\u5976\u725b\n for (int _ = 0; _ < 8; _++) {\n if (_ == 0 || cows[prev].adjcnt == 0) {\n for (int i = 0; i < 8; i++) {\n if (!cows[i].chosen && cows[i].adjcnt < 2) {\n cows[i].chosen = true;\n fout << names[i] << 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\u90e8\u7684\u6d3b\u52a8\u4e2d\uff0c\u6211\u4eec\u5148\u8fdb\u884c\u4e86\u7834\u51b0\u6d3b\u52a8\u2014\u2014\u81ea\u6211\u4ecb\u7ecd\u5e76\u4ea4\u6d41\u6709\u8da3\u7684\u7b97\u6cd5\u77e5\u8bc6\u3002\u901a\u8fc7\u8fd9\u72ec\u7279\u7684\u5f62\u5f0f\u6211\u4eec\u5f97\u4ee5\u589e\u8fdb\u5bf9\u5f7c\u6b64\u7684\u4e86\u89e3\uff0c\u5e76\u4e3a\u4e4b\u540e\u7684\u5408\u4f5c\u6253\u4e0b\u57fa\u7840\u3002","date":"2021-11-24T00:00:00.000Z","formattedDate":"2021\u5e7411\u670824\u65e5","tags":[{"label":"algorithm","permalink":"/blog/tags/algorithm"}],"readingTime":12.97,"hasTruncateMarker":true,"authors":[{"name":"\u987e\u6dc7\u5143 Alex","title":"2023 \u5c4a\u7b97\u6cd5\u5c0f\u7ec4\u6210\u5458","url":"https://github.com/phoeniiix1203","imageURL":"https://github.com/phoeniiix1203.png","key":"alex-gu"}],"frontMatter":{"authors":"alex-gu","tags":["algorithm"]},"nextItem":{"title":"Livestock Lineup","permalink":"/blog/2020/12/02/algorithm5"}},"content":"\u5728\u4eca\u5929 C \u793e OI \u90e8\u7684\u6d3b\u52a8\u4e2d\uff0c\u6211\u4eec\u5148\u8fdb\u884c\u4e86\u7834\u51b0\u6d3b\u52a8\u2014\u2014\u81ea\u6211\u4ecb\u7ecd\u5e76\u4ea4\u6d41\u6709\u8da3\u7684\u7b97\u6cd5\u77e5\u8bc6\u3002\u901a\u8fc7\u8fd9\u72ec\u7279\u7684\u5f62\u5f0f\u6211\u4eec\u5f97\u4ee5\u589e\u8fdb\u5bf9\u5f7c\u6b64\u7684\u4e86\u89e3\uff0c\u5e76\u4e3a\u4e4b\u540e\u7684\u5408\u4f5c\u6253\u4e0b\u57fa\u7840\u3002\\n\\n\u4e4b\u540e\uff0c\u6211\u4eec\u6311\u9009\u4e86\u6700\u611f\u5174\u8da3\u7684\u7f51\u7edc\u6d41\u8fd9\u4e00\u7c7b\u7b97\u6cd5\u95ee\u9898\u8fdb\u884c\u8be6\u7ec6\u7684\u8bb2\u89e3\u3002\u6211\u4eec\u4ece\u7f51\u7edc\u6d41\u56fe\u7684\u57fa\u672c\u6982\u5ff5\u5f00\u59cb\uff0c\u4f8b\u5982**\u6e90\uff0c\u6c47\u70b9**\uff0c**\u5269\u4f59\u5bb9\u91cf**\uff0c**\u6700\u5927\u6d41**\uff0c**\u6700\u5c0f\u5272** \u7b49\u7b49\u3002\u5176\u4e2d\u6700\u4e3a\u8da3\u5473\u7684\u662f**\u6700\u5c0f\u5272**\uff0c\u5176\u5b9a\u4e49\u4e3a\u5220\u53bb\u82e5\u5e72\u6761\u8fb9\u4f7f\u5f97\u67d0\u4e24\u70b9 $(u,v)$ \u4e0d\u4e92\u901a\uff0c\u8fd9\u82e5\u5e72\u6761\u8fb9\u8fb9\u6743\u548c\u7684\u6700\u5c0f\u503c\u3002\\n\\n\u63a5\u4e0b\u6765\u901a\u8fc7\u4e0d\u65ad\u4f18\u5316\u7b97\u6cd5\uff0c\u4f8b\u5982\u7075\u6d3b\u8fd0\u7528 `Edmond-Karp` \u52a8\u80fd\u7b97\u6cd5\uff08\u590d\u6742\u5ea6 $O(nm^2)$ \uff09\uff0c `Dinic` \u7b97\u6cd5\uff08\u590d\u6742\u5ea6 $O(n^2m)$ \uff09\u548c `ISAP` \u7b97\u6cd5\uff08\u590d\u6742\u5ea6 $O(n^2m)$ \uff0c\u4e0d\u9700 BFS \u591a\u6b21\uff09\u3002\u6b64\u5916\u8fd8\u8bb2\u89e3\u4e86\u4e00\u4e2a\u4f18\u7f8e\u7684\u5b9a\u7406\uff1a**\u6700\u5927\u6d41\u6700\u5c0f\u5272\u5b9a\u7406**\u3002\u8fd9\u4e00\u5b9a\u7406\u5728\u4e00\u4e9b\u56fe\u8bba\u95ee\u9898\u4e2d\u6709\u7740\u6709\u8da3\u7684\u5e94\u7528\uff1a\\n\\n\x3c!-- truncate --\x3e\\n\\n## \u4f8b\u9898\\n\\n\\n\\n### \\\\[\u6e05\u534e\u96c6\u8bad 2012] \u6700\u5c0f\u751f\u6210\u6811\\n\\n\u7ed9\u5b9a\u4e00\u4e2a\u8fb9\u5e26\u6b63\u6743\u7684\u8fde\u901a\u65e0\u5411\u56fe $G=(V, E)$\uff0c\u5176\u4e2d $N=|V|, M=|E|$\uff0c$N$ \u4e2a\u70b9\u4ece $1$ \u5230 $N$ \u4f9d\u6b21\u7f16\u53f7\uff0c\u7ed9\u5b9a\u4e09\u4e2a\u6b63\u6574\u6570 $u, v$ \u548c $L(u\\\\ne v)$\uff0c\u5047\u8bbe\u73b0\u5728\u52a0\u5165\u4e00\u6761\u8fb9\u6743\u4e3a $L$ \u7684\u8fb9 $(u, v)$\uff0c\u90a3\u4e48\u9700\u8981\u5220\u6389\u6700\u5c11\u591a\u5c11\u6761\u8fb9\uff0c\u624d\u80fd\u591f\u4f7f\u5f97\u8fd9\u6761\u8fb9\u65e2\u53ef\u80fd\u51fa\u73b0\u5728\u6700\u5c0f\u751f\u6210\u6811\u4e0a\uff0c\u4e5f\u53ef\u80fd\u51fa\u73b0\u5728\u6700\u5927\u751f\u6210\u6811\u4e0a\uff1f\\n\\n\u6570\u636e\u8303\u56f4\uff1a $N \\\\le 2 \\\\times 10^4, M \\\\le 2 \\\\times 10^5$\\n\\n\\n\\n\u5982\u679c\u4e00\u6761\u8fb9 $(u, v, L)$ \u4e00\u5b9a\u51fa\u73b0\u5728\u6700\u5c0f\u751f\u6210\u6811\u4e0a\uff0c\u90a3\u4e48\u9700\u8981\u6ee1\u8db3\uff1a\u5373\u4f7f\u628a\u8fb9\u6743 $< L$ \u5f97\u6240\u6709\u8fb9\u8fde\u4e0a\uff0c $u, v$ \u4e5f\u4e0d\u8fde\u901a\uff0c\u90a3\u4e48\u5c31\u5fc5\u987b\u9009\u62e9 $(u, v, L)$\\n\\n\u628a\u7ed9\u5b9a\u8fb9\u7684 $u, v$ \u5206\u522b\u4f5c\u4e3a\u6e90\u6c47\u70b9\uff0c\u539f\u56fe\u4e2d\u6240\u6709 $w < L$ \u7684\u8fb9 $(u, v, w)$ \u8fde\u5165\u7f51\u7edc\u6d41\uff0c\u6ce8\u610f\u662f**\u65e0\u5411\u56fe**\uff0c\u6240\u4ee5\u53cd\u8fb9\u521d\u59cb\u5bb9\u91cf\u4e3a $1$\\n\\n\u6700\u5927\u751f\u6210\u6811\u540c\u7406\uff0c\u91cd\u7f6e\u4e00\u904d\u6d41\u518d\u6c42\u4e00\u904d\uff0c\u7136\u540e\u548c\u4e0a\u4e00\u6b21\u7684\u7b54\u6848\u76f8\u52a0\u8f93\u51fa\u5373\u53ef\\n\\n```cpp\\n// #define ONLINE_JUDGE\\n#include \\nusing namespace std;\\nconst int Inf = 0x3f3f3f3f;\\ntypedef pair pii;\\ntypedef long long ll;\\ntypedef std::string str;\\ntypedef double db;\\n#define pbk push_back\\n#define mk_pr make_pair\\n#define elif else if\\n#define IL inline\\n#define IT(i, lim) for (int i = 1; i <= lim; ++i)\\n#define MST(x, k) memset(x, k, sizeof(x))\\n#define QMST(a, k, sz) memset(a, k, sizeof(int) * (sz + 2))\\n#ifndef ONLINE_JUDGE\\n#define DBG(x) std::cerr << #x << \\" = \\" << x << \\" \\";\\n#define ETR std::cerr << endl;\\n#define DBG_S(k) \\\\\\n std::cerr << #k << \\" = \\" << std::bitset<8>(k) << \\" (\\" << k << \\")\\" \\\\\\n << std::endl;\\n#else\\n#define DBG(x)\\n#define DBG_S(k)\\n#define ETR\\n#endif\\n\\ntemplate \\nvoid Mx(T &x, T y)\\n{\\n x = x > y ? x : y;\\n}\\n\\ntemplate \\nvoid Mn(T &x, T y) { x = x < y ? x : y; }\\n\\ninline void Read(const std::string &name = \\"a\\")\\n{\\n#ifndef ONLINE_JUDGE\\n freopen((name + \\".in\\").c_str(), \\"r\\", stdin);\\n // freopen((name + \\".out\\").c_str(), \\"w\\", stdout);\\n freopen((name + \\".log\\").c_str(), \\"w\\", stderr);\\n#endif\\n ios::sync_with_stdio(0);\\n cin.tie(0);\\n cout.tie(0);\\n}\\n\\nvoid Solve();\\n\\nsigned main()\\n{\\n Read();\\n Solve();\\n return 0;\\n}\\n\\nconst int M = 2e5 + 5;\\n// const int p = ;\\nstruct Ed\\n{\\n int v, n, w;\\n Ed(int v_ = 0, int n_ = 0, int w_ = 0) : v(v_), n(n_), w(w_){};\\n};\\n\\nEd e[M << 1];\\nint hd[M << 1], t_e = 1;\\ninline void Add(int u = 0, int v = 0, int w = 0)\\n{\\n e[++t_e] = Ed(v, hd[u], w);\\n hd[u] = t_e;\\n}\\n\\nIL void Link(int u, int v, int w = 1)\\n{\\n Add(u, v, w);\\n Add(v, u, w);\\n}\\n\\nint h[M];\\n\\nIL bool Bfs(int s, int t)\\n{\\n memset(h, 0, sizeof(h));\\n queue q;\\n q.push(s);\\n h[s] = 1;\\n while (!q.empty())\\n {\\n int u = q.front();\\n q.pop();\\n for (int i = hd[u]; i; i = e[i].n)\\n {\\n int v = e[i].v;\\n if (e[i].w && !h[v])\\n {\\n h[v] = h[u] + 1;\\n q.push(v);\\n }\\n }\\n }\\n return h[t];\\n}\\n\\nint Dfs(int u, int t, int i_f = Inf)\\n{\\n if (u == t)\\n return i_f;\\n int tof = 0;\\n for (int i = hd[u]; i && i_f; i = e[i].n)\\n {\\n int v = e[i].v;\\n if (e[i].w && h[v] == h[u] + 1)\\n {\\n int cof = Dfs(v, t, min(e[i].w, i_f));\\n if (!cof)\\n {\\n h[v] = -1;\\n continue;\\n }\\n e[i].w -= cof;\\n e[i ^ 1].w += cof;\\n i_f -= cof;\\n tof += cof;\\n }\\n }\\n return tof;\\n}\\n\\nIL int Dinic(int s, int t)\\n{\\n int mx_f = 0;\\n while (Bfs(s, t))\\n mx_f += Dfs(s, t);\\n return mx_f;\\n}\\n\\nint u_[M], v_[M], w_[M];\\nvoid Clear()\\n{\\n t_e = 1;\\n MST(hd, 0);\\n}\\n\\nvoid Solve()\\n{\\n int n, m;\\n cin >> n >> m;\\n IT(i, m)\\n cin >> u_[i] >> v_[i] >> w_[i];\\n int s, t, L;\\n cin >> s >> t >> L;\\n IT(i, m)\\n if (w_[i] < L)\\n Link(u_[i], v_[i]);\\n int ans = Dinic(s, t);\\n Clear();\\n IT(i, m)\\n if (w_[i] > L)\\n Link(u_[i], v_[i]);\\n cout << ans + Dinic(s, t);\\n}\\n```\\n\\n\\n\\n### \\\\[SHOI2010] \u6700\u5c0f\u751f\u6210\u6811\\n\\n\u7ed9\u5b9a\u4e00\u5f20\u65e0\u5411\u56fe\uff0c\u8981\u6c42\u8fb9 $L_{a, b}$ \u5fc5\u987b\u5728 MST \u4e2d\uff0c\u6bcf\u6b21\u64cd\u4f5c\u53ef\u4ee5\u9009\u5b9a\u4e00\u6761\u8fb9 $(u, v)$ \u518d\u5c06\u56fe\u4e2d\u6240\u6709\u9664\u8fd9\u6761\u8fb9\u5916\u7684\u8fb9\u7684\u6743\u503c\u51cf\u5c11 $1$ \uff0c\u6c42\u6700\u5c11\u64cd\u4f5c\u51e0\u6b21\\n\\n\u6570\u636e\u8303\u56f4\uff1a $n \\\\le 500, m \\\\le 800$\\n\\n\\n\\n\u7c7b\u4f3c\u6e05\u534e\u96c6\u8bad\u9898\u76ee\u7684\u505a\u6cd5\uff0c\u6bcf\u6b21\u90fd\u9009\u62e9\u4e00\u6761\u8fb9\u6743\u5c0f\u4e8e\u7b49\u4e8e $L_{a, b}$ \u7684\u8fb9 $(u, v, w)$ \u64cd\u4f5c\uff0c\u5219\u64cd\u4f5c $L_{a, b} - w + 1$ \u6b21\u540e\u8fd9\u6761\u8fb9\u5c31\u4e0d\u6bd4 $L_{a, b}$ \u4f18\u4e86\u3002\u53e6\u4e00\u79cd\u7406\u89e3\uff1a\u6bcf\u6b21\u9009\u62e9\u5176\u4ed6\u8fb9 $-1$ \u76f8\u5f53\u4e8e\u81ea\u5df1 $+1$\\n\\n\\n\\n### \\\\[ZJOI2009] \u72fc\u548c\u7f8a\u7684\u6545\u4e8b\\n\\n\u7ed9\u5b9a $n \\\\times m$ \u77e9\u9635\uff0c\u6bcf\u4e2a\u65b9\u683c\u53ef\u80fd\u662f\u72fc\u7f8a\u6216\u7a7a\u683c\u5b50\uff0c\u6c42\u72fc\u7f8a\u4e0d\u76f8\u90bb\u6700\u5c11\u9700\u8981\u4fee\u5efa\u7684\u7bf1\u7b06\u6570\\n\\n\u6570\u636e\u8303\u56f4\uff1a $n, m \\\\le 100$\\n\\n\\n\\n\u6e90\u70b9\u5411\u72fc\u8fde\u5bb9\u91cf\u4e3a $\\\\infin$ \u7684\u8fb9\uff0c\u7f8a\u5411\u6c47\u70b9\u8fde\u5bb9\u91cf\u4e3a $\\\\infin$ \u7684\u8fb9\uff0c\u6240\u6709\u70b9\u5411\u4e0a\u4e0b\u5de6\u53f3\u8fde\u5bb9\u91cf\u4e3a $1$ \u7684\u8fb9\uff0c\u6c42\u89e3\u6700\u5c0f\u5272\u5373\u662f\u7b54\u6848\\n\\n\\n\\n### \\\\[SCOI2007] \u8725\u8734\\n\\n$r \\\\times c$ \u7684\u77e9\u9635\u6bcf\u4e2a\u4f4d\u7f6e\u6709\u9ad8\u5ea6\u503c $h_{i, j}$ \u3002\u67d0\u4e9b\u4f4d\u7f6e\u6709\u8725\u8734\u3002\u8725\u8734\u6bcf\u8df3\u52a8\u4e00\u6b21\u51fa\u53d1\u4f4d\u7f6e\u9ad8\u5ea6 $-1$ \u3002\u7ed9\u5b9a\u6bcf\u6b21\u8725\u8734\u6700\u5927\u8df3\u52a8\u6b27\u51e0\u91cc\u5f97\u8ddd\u79bb $d$ \u6c42\u6709\u591a\u5c11\u8725\u8734\u4e0d\u80fd\u9003\u51fa\u77e9\u9635\\n\\n\u6570\u636e\u8303\u56f4\uff1a $r, c \\\\le 20, d \\\\le 4, h\\\\le 3$\\n\\n\\n\\n\u53ea\u9700\u62c6\u70b9\u77f3\u67f1\uff0c\u4e0d\u5fc5\u628a\u8725\u8734\u5355\u72ec\u62c6\u70b9\uff0c\u6e90\u70b9\u5411\u6709\u8725\u8734\u7684\u70b9 $u$ \u8fde\u5bb9\u91cf\u4e3a $1$ \u7684\u8fb9\uff08**\u4e0d\u662f** $\\\\infin$ \uff09\uff0c\u80fd\u591f\u8df3\u51fa\u53bb\u7684\u70b9 $u\'$ \u5411\u6c47\u70b9\u8fde\u5bb9\u91cf\u4e3a $\\\\infin$ \u7684\u8fb9\uff0c $u$ \u548c $u\'$ \u4e4b\u95f4\u8fde\u5bb9\u91cf\u4e3a $h_{i, j}$ \u7684\u8fb9\\n\\n\u7528\u5e73\u65b9\u907f\u514d\u5b9e\u6570\u8fd0\u7b97\\n\\n```cpp\\n#define IN(x) (x)\\n#define OUT(x) (x + r * c)\\n\\nint C21(int x, int y) { return (x - 1) * c + y; }\\n\\n#define POW2(x) (x * x)\\n\\nint Dis(int x_1, int y_1, int x_2, int y_2) {\\n return POW2((x_1 - x_2)) + POW2((y_1 - y_2));\\n}\\n\\nvoid Solve() {\\n Add();\\n cin >> r >> c >> d;\\n int s = 0, t = r * c * 2 + 1;\\n IT(i, r) {\\n str S;\\n cin >> S;\\n S = \' \' + S;\\n IT(j, c) {\\n int w = S[j] - \'0\';\\n int u = C21(i, j);\\n if (!w) continue;\\n Link(IN(u), OUT(u), w);\\n IT(k, r) {\\n IT(l, c) {\\n if (Dis(i, j, k, l) <= d * d) {\\n int v = C21(k, l);\\n Link(OUT(u), IN(v), Inf);\\n }\\n }\\n }\\n if (i - d < 1 || j - d < 1 || i + d > r || j + d > c) {\\n Link(OUT(u), t, Inf);\\n }\\n }\\n }\\n int t_lizard = 0;\\n IT(i, r) {\\n IT(j, c) {\\n char ch;\\n cin >> ch;\\n if (ch == \'L\') {\\n ++t_lizard;\\n int u = C21(i, j);\\n Link(s, IN(u), 1);\\n }\\n }\\n }\\n while (Bfs(s, t)) {\\n mx_f += Dfs(s, t, Inf);\\n }\\n cout << t_lizard - mx_f;\\n}\\n```\\n\\n\u6700\u540e\u6211\u4eec\u8fd8\u901a\u8fc7\u5b9e\u6218\uff0c\u8bb2\u8ff0\u4e86\u5982\u4f55\u4f7f\u7528\u7f51\u7edc\u6d41\u5efa\u6a21\u5e76\u89e3\u51b3\u4e00\u4e9b\u7ecf\u5178\u95ee\u9898\uff0c\u4f8b\u5982**\u4e8c\u5206\u56fe\u5339\u914d\u95ee\u9898\uff0c\u6700\u5c0f\u8def\u5f84\u8986\u76d6\u95ee\u9898\u548c\u6700\u5927\u6743\u95ed\u5408\u5b50\u56fe\u95ee\u9898**\u3002\u5176\u4e2d\u5c24\u4e3a\u6709\u8da3\u7684\u662f**\u6700\u5927\u6743\u95ed\u5408\u5b50\u56fe**\u95ee\u9898\\n\\n## \u5b9a\u4e49\\n\\n\u5982\u679c\u4e00\u4e2a\u70b9\u88ab\u9009\u62e9\u4e86\u5219\u540e\u7ee7\u5fc5\u987b\u88ab\u9009\u62e9\uff0c\u90a3\u4e48\u79f0\u8be5\u56fe\u662f**\u95ed\u5408**\u7684\\n\\n\u4e00\u4e2a\u6709\u5411\u56fe\uff0c\u9009\u62e9\u4e00\u4e2a\u70b9\u5c31\u5fc5\u987b\u9009\u62e9\u5176\u540e\u7ee7\u70b9\uff0c\u4e14\u9009\u62e9\u6bcf\u4e2a\u70b9\u6709\u4e00\u4e2a\u82b1\u8d39\u6216\u8005\u5956\u52b1\u3002\u6c42\u603b\u5956\u52b1\u6700\u5927\u503c\\n\\n## \u89e3\u6cd5\\n\\n1. \u6e90\u70b9\u5411\u6240\u6709\u6b63\u6743\u70b9\u8fde\u7ed3\u4e00\u6761\u5bb9\u91cf\u4e3a\u6743\u503c\u7684\u8fb9\\n2. \u4fdd\u7559\u539f\u56fe\u4e2d\u6240\u6709\u7684\u8fb9\uff0c\u5bb9\u91cf\u4e3a\u6b63\u65e0\u7a77\\n3. \u6240\u6709\u8d1f\u6743\u70b9\u5411\u6c47\u70b9\u8fde\u7ed3\u4e00\u6761\u5bb9\u91cf\u4e3a\u6743\u503c\u7edd\u5bf9\u503c\u7684\u8fb9\\n\\n\u7531\u4e8e\u539f\u56fe\u4e2d\u7684\u8fb9\u5168\u90e8\u662f\u6b63\u65e0\u7a77\uff0c**\u6700\u5c0f\u5272\u53ea\u4f1a\u5272\u6389\u6e90\u70b9\u548c\u6b63\u6743\u70b9\u4e4b\u95f4\u6216\u8d1f\u6743\u70b9\u548c\u6c47\u70b9\u4e4b\u95f4\u7684\u8fb9**\\n\\n\u5219\u539f\u56fe\u7684\u6700\u5927\u6743\u95ed\u5408\u5b50\u56fe\u7684\u70b9\u6743\u548c\u5373\u4e3a\u6240\u6709\u6b63\u6743\u70b9\u6743\u503c\u4e4b\u548c\u51cf\u53bb\u5efa\u51fa\u7684\u7f51\u7edc\u6d41\u56fe\u7684\u6700\u5c0f\u5272\\n\\n\\n\\n### \\\\[\u7f51\u7edc\u6d41 24 \u9898] \u592a\u7a7a\u98de\u884c\u8ba1\u5212\u95ee\u9898\\n\\n[P2762](https://www.luogu.com.cn/problem/P2762)\\n\\n\\n\\n- \u6a21\u7248\u9898\uff0c\u8981\u6c42\u8f93\u51fa\u9009\u62e9\u70b9\u7684\u65b9\u6848\\n- \u6700\u540e\u4e00\u6b21 BFS \u540e `dep` \u4e0d\u4e3a $0$ \u5373\u662f\u88ab\u9009\u62e9/\u6ca1\u6709\u5272\u6389\u7684\u70b9\uff0c\u8f93\u51fa\u8fd9\u4e9b\u70b9\u5373\u53ef\\n\\n\\n\\n### \\\\[ARC085C] MUL\\n\\n[ARC085C](https://www.luogu.com.cn/problem/AT3672)\\n\\n$n$ \u4e2a\u7403\u7f16\u53f7 $1$ \u5230 $n$ \uff0c\u6bcf\u4e2a\u7403\u6709\u4ef7\u503c $w_i$ \uff0c\u53ef\u4ee5\u8fdb\u884c\u4efb\u610f\u6b21\u64cd\u4f5c\uff0c\u5c06\u6240\u6709\u7f16\u53f7\u4e3a $x$ \u7684\u500d\u6570\u7684\u7403\u62ff\u8d70\uff0c\u6c42\u6700\u540e\u5269\u4e0b\u7684\u7403\u7684\u6700\u5927\u603b\u4ef7\u503c\\n\\n\u6570\u636e\u8303\u56f4\uff1a $n \\\\le 100, |w_i| \\\\le 10^9$\\n\\n\\n\\n\u6bcf\u4e2a\u7403\u5411\u7f16\u53f7\u4e3a\u5176\u500d\u6570\u7684\u7403\u8fde\u8fb9\uff0c\u8fd9\u6837\u8fb9\u6570\u662f $O(n \\\\log n)$ \u7ea7\u522b\u7684\\n\\n\u5c06\u6240\u6709 $w_i < 0$ \u7684\u7403\u7684\u82b1\u8d39\u7edd\u5bf9\u503c\u52a0\u548c\uff0c\u7136\u540e\u53cd\u8f6c\u5173\u7cfb\u8fde\u8fb9\uff0c\u8fd9\u6837\u6c42\u51fa\u6765\u7684\u662f\u80fd\u51cf\u5c11\u7684\u82b1\u8d39\u7684\u6700\u5927\u503c\uff0c\u6700\u540e\u51cf\u4e00\u4e0b\u5f97\u5230\u7b54\u6848\\n\\n```cpp\\nvoid Solve()\\n{\\n int n;\\n cin >> n;\\n int tot_cost = 0, tot_w = 0;\\n int s = 0, t = n + 1;\\n IT(i, n)\\n {\\n int w;\\n cin >> w;\\n tot_w += w;\\n if (w < 0)\\n {\\n tot_cost += -w;\\n Link(s, i, -w);\\n }\\n else\\n {\\n Link(i, t, w);\\n }\\n for (int j = 2; j * i <= n; ++j)\\n Link(i, j * i, Inf);\\n }\\n int mx_reduce_cost = tot_cost - Dinic(s, t);\\n cout << tot_w + mx_reduce_cost;\\n}\\n```\\n\\n\\n\\n### Petya and Graph\\n\\n[CF1082G](https://www.luogu.com.cn/problem/CF1082G)\\n\\n\u5b9a\u4e49\u56fe\u6743 = \u56fe\u4e2d\u8fb9\u6743\u603b\u548c \u2212 \u56fe\u4e2d\u70b9\u6743\u603b\u548c\uff08\u7a7a\u56fe\u7684\u56fe\u6743 = 0\uff09\uff0c\u6c42 $n$ \u4e2a\u70b9 $m$ \u6761\u8fb9\u7684\u65e0\u5411\u56fe\u6700\u5927\u6743\u5b50\u56fe\u3002\\n\\n\u6570\u636e\u8303\u56f4\uff1a $n, m \\\\le 10^3$\\n\\n\\n\\n\u4e00\u6761\u8fb9\u7684\u5956\u52b1\u80fd\u88ab\u83b7\u5f97\u5f53\u4e14\u4ec5\u5f53\u4e24\u8fb9\u7684\u70b9\u90fd\u88ab\u9009\u4e0a\\n\\n\u70b9\u8fde\u6c47\uff0c\u8fb9\u8fde\u6e90\\n\\n```cpp\\n#define GOOD(i) (i)\\n#define BUYER(i) (i + n)\\nvoid Solve()\\n{\\n int n, m;\\n cin >> n >> m;\\n int s = 0, t = n + m + 1;\\n IT(i, n)\\n {\\n int p;\\n cin >> p;\\n Link(GOOD(i), t, p);\\n }\\n int ans = 0;\\n IT(i, m)\\n {\\n int a, b, c;\\n cin >> a >> b >> c;\\n Link(s, BUYER(i), c);\\n Link(BUYER(i), GOOD(a), Inf);\\n Link(BUYER(i), GOOD(b), Inf);\\n ans += c;\\n }\\n cout << ans - Dinic(s, t);\\n}\\n```\\n\\n\\n\\n### \\\\[TJOI2010] \u7535\u5f71\u8ff7\\n\\n\u6269\u5c55\u6700\u5927\u6743\u95ed\u5408\u5b50\u56fe\u95ee\u9898\uff0c\u5bf9\u4e8e\u6bcf\u4e00\u4e2a\u9650\u5236\u53ef\u4ee5\u82b1\u8d39\u4e00\u5b9a\u4ee3\u4ef7 $w_i$ \u5220\u53bb\\n\\n\\n\\n\u6bcf\u4e2a\u539f\u56fe\u4e0a\u7684\u8fb9\u5bb9\u91cf\u4e0d\u518d\u662f $\\\\infty$ \u800c\u662f $w_i$ \uff0c\u5176\u4f59\u4e0d\u53d8\u6c42\u89e3\u5373\u53ef\\n\\n```cpp\\nvoid Solve()\\n{\\n int n, m;\\n cin >> n >> m;\\n int s = 0, t = n + 1;\\n int ans = 0;\\n IT(i, n)\\n {\\n int w;\\n cin >> w;\\n if (w > 0)\\n {\\n ans += w;\\n Link(s, i, w);\\n }\\n else\\n Link(i, t, -w);\\n }\\n IT(i, m)\\n {\\n int u, v, w;\\n cin >> u >> v >> w;\\n Link(u, v, w);\\n }\\n cout << ans - Dinic(s, t);\\n\\n```\\n\\n\u6211\u4eec\u6bcf\u4e2a\u4eba\u90fd\u7ed9\u51fa\u4e86\u975e\u5e38\u72ec\u7279\u7684\u60f3\u6cd5\u4e0e\u89c1\u89e3\uff0c\u7ed9\u4e88\u4e86\u4e00\u9053\u666e\u901a\u7684\u7b97\u6cd5\u9898\u4e0d\u4e00\u6837\u7684\u610f\u4e49\u3002OI \u90e8\u7684\u7b2c\u4e00\u6b21\u6d3b\u52a8\u5f88\u5145\u5b9e\u4e5f\u5f88\u5feb\u4e50\u3002"},{"id":"/2020/12/02/algorithm5","metadata":{"permalink":"/blog/2020/12/02/algorithm5","source":"@site/blog/2020-12-02-algorithm5.mdx","title":"Livestock Lineup","description":"\u8fd9\u662f C \u793e\u7b97\u6cd5\u56e2\u961f\u7684\u7b2c\u4e94\u6b21\u6d3b\u52a8\u3002\u7531\u4e8e 12 \u6708 USACO \u7ade\u8d5b\u5728\u5373\uff0c\u6211\u4eec\u5c55\u5f00\u4e86\u9488\u5bf9\u6027\u7684\u7ec3\u4e60\u3002\u7b2c\u4e00\u6b21\u6d3b\u52a8\u6211\u4eec\u4ece\u94dc\u7ec4\u5f00\u59cb\u7ec3\u4e60\uff0c\u7531\u4e8e\u6210\u5458\u4eec\u6c34\u5e73\u8f83\u9ad8\uff0c\u6211\u4eec\u6311\u9009\u4e86\u4e00\u9053\u6709\u4e00\u5b9a\u7f16\u7a0b\u6c34\u5e73\u8981\u6c42\u7684\u94dc\u7ec4\u9898\u76ee\u3002\u94dc\u7ec4\u9898\u76ee\u53ea\u8981\u6c42\u5bf9\u5faa\u73af\u7684\u638c\u63e1\uff0c\u4e00\u5b9a\u53ef\u4ee5\u901a\u8fc7\u679a\u4e3e\u5f97\u5230\u7ed3\u679c\uff0c\u56e0\u6b64\u5bf9\u7b97\u6cd5\u548c\u6570\u636e\u7ed3\u6784\u6ca1\u6709\u592a\u9ad8\u8981\u6c42\u3002","date":"2020-12-02T00:00:00.000Z","formattedDate":"2020\u5e7412\u67082\u65e5","tags":[{"label":"algorithm","permalink":"/blog/tags/algorithm"}],"readingTime":6.35,"hasTruncateMarker":true,"authors":[{"name":"Josh Cena","title":"\u4fe1\u606f\u5316\u793e 2022 \u5c4a\u793e\u957f","url":"https://github.com/Josh-Cena","imageURL":"https://github.com/Josh-Cena.png","key":"josh-cena"}],"frontMatter":{"title":"Livestock Lineup","authors":"josh-cena","tags":["algorithm"]},"prevItem":{"title":"OI \u90e8\u6d3b\u52a8-\u7f51\u7edc\u6d41\u95ee\u9898\u4ecb\u7ecd","permalink":"/blog/2021/11/24/network-flow"},"nextItem":{"title":"\u9636\u4e58\u5b57\u7b26\u4e32","permalink":"/blog/2020/11/04/algorithm3"}},"content":"\u8fd9\u662f C \u793e\u7b97\u6cd5\u56e2\u961f\u7684\u7b2c\u4e94\u6b21\u6d3b\u52a8\u3002\u7531\u4e8e 12 \u6708 USACO \u7ade\u8d5b\u5728\u5373\uff0c\u6211\u4eec\u5c55\u5f00\u4e86\u9488\u5bf9\u6027\u7684\u7ec3\u4e60\u3002\u7b2c\u4e00\u6b21\u6d3b\u52a8\u6211\u4eec\u4ece\u94dc\u7ec4\u5f00\u59cb\u7ec3\u4e60\uff0c\u7531\u4e8e\u6210\u5458\u4eec\u6c34\u5e73\u8f83\u9ad8\uff0c\u6211\u4eec\u6311\u9009\u4e86\u4e00\u9053\u6709\u4e00\u5b9a\u7f16\u7a0b\u6c34\u5e73\u8981\u6c42\u7684\u94dc\u7ec4\u9898\u76ee\u3002\u94dc\u7ec4\u9898\u76ee\u53ea\u8981\u6c42\u5bf9\u5faa\u73af\u7684\u638c\u63e1\uff0c\u4e00\u5b9a\u53ef\u4ee5\u901a\u8fc7\u679a\u4e3e\u5f97\u5230\u7ed3\u679c\uff0c\u56e0\u6b64\u5bf9\u7b97\u6cd5\u548c\u6570\u636e\u7ed3\u6784\u6ca1\u6709\u592a\u9ad8\u8981\u6c42\u3002\\n\\n\x3c!--truncate--\x3e\\n\\nexport const Question = ({ children, color }) => (\\n \\n {children}\\n
\\n);\\n\\n## \u9898\u76ee\\n\\n\\n\\n**\u9898\u76ee\u6765\u6e90\uff1a[USACO 2019 December Bronze 3](http://www.usaco.org/index.php?page=viewproblem2&cpid=965)**\\n\\nEvery day, Farmer John milks his 8 dairy cows, named Bessie, Buttercup, Belinda, Beatrice, Bella, Blue, Betsy, and Sue.\\n\\nThe cows are rather picky, unfortunately, and require that Farmer John milks them in an order that respects $N$ constraints. Each constraint is of the form \\"$X$ must be milked beside $Y$\\", stipulating that cow $X$ must appear in the milking order either directly after cow $Y$ or directly before cow $Y$.\\n\\nPlease help Farmer John determine an ordering of his cows that satisfies all of these required constraints. It is guaranteed that an ordering is always possible. If several orderings work, then please output the one that is alphabetically first. That is, the first cow should have the alphabetically lowest name of all possible cows that could appear first in any valid ordering. Among all orderings starting with this same alphabetically-first cow, the second cow should be alphabetically lowest among all possible valid orderings, and so on.\\n\\n| \u6570\u636e\u89c4\u6a21 | \u5185\u5b58\u9650\u5236 | \u8fd0\u884c\u65f6\u95f4 |\\n| ------------- | -------- | -------- |\\n| $1\\\\le N\\\\le 7$ | 256MB | 2.0s |\\n\\n\\n\\n## \u9898\u89e3\\n\\n\u8fd9\u9053\u9898\u5728\u7406\u89e3\u4e86\u9898\u76ee\u7684\u9700\u6c42\u2014\u2014\u751f\u6210\u4e00\u4e2a\u7b26\u5408\u7ed9\u5b9a\u7ea6\u675f\u7684\u5b57\u5178\u5e8f\u6700\u5c0f\u7684\u6392\u5217\u540e\uff0c\u5e94\u8be5\u96be\u5ea6\u4e0d\u9ad8\u3002\u6211\u4eec\u53ef\u4ee5\u6309\u5b57\u5178\u5e8f\u751f\u6210\u5168\u90e8\u7684\u6392\u5217\uff08\u4e00\u5171\u6709$8!=40320$\u79cd\uff09\uff0c\u7136\u540e\u8f93\u51fa\u7b2c\u4e00\u4e2a\u6ee1\u8db3\u6240\u6709\u7ea6\u675f\u6761\u4ef6\u7684\u3002\u5982\u679c\u4e0d\u4f1a\u7528\u56de\u6eaf\u7b97\u6cd5\u751f\u6210\u5168\u6392\u5217\uff0c\u53ef\u80fd\u9700\u8981\u501f\u52a9 `algorithm` \u4e2d\u7684 `next_permutation` \u51fd\u6570\u3002\u8fd9\u4e5f\u662f\u5178\u578b\u7684\u94dc\u7ec4\u601d\u8def\uff1a\u56e0\u4e3a\u89c4\u6a21\u6781\u5c0f\uff0c\u53ef\u4ee5\u66b4\u529b\u679a\u4e3e\u4e4b\u540e*\u6311\u9009*\u89e3\u800c\u4e0d\u662f*\u6784\u9020*\u89e3\u3002\\n\\n\u5f53\u7136\uff0c\u8fd9\u79cd\u65b9\u6cd5\u5bf9\u4e8e\u6709\u4e00\u4e9b\u7ade\u8d5b\u7ecf\u9a8c\u7684\u53c2\u8d5b\u8005\u6765\u8bf4\u53cd\u5012\u4e0d\u5bb9\u6613\u60f3\u5230\u3002\u8fd9\u4e9b\u53c2\u8d5b\u8005\u4f1a\u8bd5\u56fe\u901a\u8fc7\u7ea6\u675f\u6761\u4ef6\u6765\u6784\u9020\u89e3\u3002\u8fd9\u9700\u8981\u4e00\u70b9\u70b9\u8d2a\u5fc3\u7684\u601d\u60f3\uff1a\u4e3a\u4e86\u8ba9\u6392\u5217\u5b57\u5178\u5e8f\u6700\u5c0f\uff0c\u5c31\u4e00\u5b9a\u8981\u8ba9\u6bcf\u4e00\u4f4d\u4e0a\u7684\u5976\u725b\u5b57\u5178\u5e8f\u5c3d\u53ef\u80fd\u5c0f\u3002\u6211\u4eec\u53ef\u4ee5\u628a\u4e00\u4e2a\u6392\u5217\u770b\u4f5c\u4e00\u4e2a\u201c\u7ea6\u675f\u94fe\u201d\uff0c\u5176\u4e2d\u6bcf\u4e00\u5934\u5976\u725b\u90fd\u56e0\u4e3a\u5b83\u76f8\u90bb\u4f4d\u7f6e\u5976\u725b\u7684\u7ea6\u675f\u800c\u53ea\u6709\u552f\u4e00\u7684\u53ef\u80fd\u3002\u6bcf\u5b8c\u6210\u4e00\u6761\u7ea6\u675f\u94fe\u7684\u8fde\u63a5\u540e\uff0c\u90fd\u53ef\u4ee5\u4ece\u5269\u4e0b\u672a\u88ab\u5b89\u6392\u8fdb\u961f\u7684\u5976\u725b\u4e2d\u6311\u9009\u7f16\u53f7\u6700\u5c0f\u7684\uff0c\u4f46\u4e0d\u80fd\u662f\u6709\u4e24\u4e2a\u672a\u6ee1\u8db3\u7684\u7ea6\u675f\u7684\uff08\u56e0\u4e3a\u4e00\u4e2a\u201c\u7ea6\u675f\u94fe\u201d\u4e2d\u5934\u548c\u5c3e\u7684\u5976\u725b\u90fd\u53ea\u80fd\u548c\u5b83\u76f8\u90bb\u7684\u4e00\u5934\u5976\u725b\u95f4\u6709\u7ea6\u675f\uff09\uff0c\u7136\u540e\u5728\u786e\u5b9a\u4e86\u94fe\u5934\u4e4b\u540e\uff0c\u5c31\u53ef\u4ee5\u975e\u5e38\u81ea\u7136\u5730\u5f97\u5230\u6574\u4e2a\u94fe\u6761\u3002\u91cd\u590d\u540c\u6837\u7684\u6784\u9020\u8fc7\u7a0b\uff0c\u76f4\u5230\u6240\u6709\u5976\u725b\u90fd\u88ab\u6dfb\u52a0\u5165\u961f\u5217\u3002\\n\\n## \u7a0b\u5e8f\\n\\n\u66b4\u529b\u6cd5\u7684\u4ee3\u7801\uff1a\\n\\n```cpp\\n/**\\n * Adopted from official solution at\\n * http://www.usaco.org/current/data/sol_lineup_bronze_dec19.html\\n */\\n#include \\n#include \\n#include \\n#include \\n\\nusing namespace std;\\n\\nstring names[8] = {\\"Beatrice\\", \\"Belinda\\", \\"Bella\\", \\"Bessie\\", \\"Betsy\\", \\"Blue\\", \\"Buttercup\\", \\"Sue\\"};\\n// beside_a \u548c beside_b \u4e2d\u5bf9\u5e94\u4e0b\u6807\u7684\u5976\u725b\u8868\u793a\u4e00\u7ec4\u7ea6\u675f\u5173\u7cfb\\nvector beside_a, beside_b;\\nint n;\\n\\nint getID(string name) {\\n for (int i = 0; i < 8; i++)\\n if (names[i] == name)\\n return i;\\n return -1;\\n}\\n\\nbool satisfies_constraints() {\\n for (int i = 0; i < n; i++)\\n if (abs(getID(beside_a[i]) - getID(beside_b[i])) != 1)\\n return false;\\n return true;\\n}\\n\\nint main() {\\n ifstream fin(\\"lineup.in\\");\\n ofstream fout(\\"lineup.out\\");\\n fin >> n;\\n string a, b;\\n for (int i = 0; i < n; i++) {\\n fin >> a >> b >> b >> b >> b >> b;\\n beside_a.push_back(a);\\n beside_b.push_back(b);\\n }\\n // \u904d\u5386\u6240\u6709\u76848\u5934\u5976\u725b\u7684\u6392\u5217\uff0c\u8f93\u51fa\u7b2c\u4e00\u4e2a\u6ee1\u8db3\u7ea6\u675f\u7684\u89e3\\n do {\\n if (satisfies_constraints()) {\\n for (int i = 0; i < 8; i++)\\n fout << names[i] << endl;\\n return 0;\\n }\\n } while (next_permutation(names.begin(), names.end()));\\n return 0;\\n}\\n```\\n\\n\u6784\u9020\u6cd5\u7684\u4ee3\u7801\uff1a\\n\\n```cpp\\n#include \\n#include \\n\\nusing namespace std;\\n\\nstruct cow {\\n int adj[2]; // \u9700\u8981\u548c\u8fd9\u5934\u5976\u725b\u76f8\u90bb\u7684\u5976\u725b\u7684ID\\n int adjcnt; // \u8fd9\u5934\u5976\u725b\u4e00\u5171\u6709\u51e0\u4e2a\u7ea6\u675f\u6761\u4ef6\uff1b\u51b3\u5b9a\u4e86\u80fd\u5426\u628a\u5b83\u653e\u5728\u7ea6\u675f\u94fe\u7684\u5f00\u5934\\n bool chosen; // \u662f\u5426\u5df2\u7ecf\u8fdb\u961f\\n} cows[8];\\nstring names[8] = {\\"Beatrice\\", \\"Belinda\\", \\"Bella\\", \\"Bessie\\", \\"Betsy\\", \\"Blue\\", \\"Buttercup\\", \\"Sue\\"};\\n\\nint getID(string name) {\\n for(int i = 0; i < 8; i++)\\n if(names[i] == name)\\n return i;\\n return -1;\\n}\\n\\nint main() {\\n ifstream fin(\\"lineup.in\\");\\n ofstream fout(\\"lineup.out\\");\\n int n;\\n fin >> n;\\n string a, b;\\n for (int i = 0; i < n; i++) {\\n fin >> a >> b >> b >> b >> b >> b;\\n cows[getID(a)].adj[cows[getID(a)].adjcnt++] = getID(b);\\n cows[getID(b)].adj[cows[getID(b)].adjcnt++] = getID(a);\\n }\\n int prev = -1;\\n // \u6bcf\u6b21\u5faa\u73af\u5411\u961f\u5217\u4e2d\u6dfb\u52a0\u4e00\u5934\u5976\u725b\uff1b\u5982\u679c\u4e0a\u4e00\u5934\u5976\u725b\u6ca1\u6709\u66f4\u591a\u7684\u7ea6\u675f\u6761\u4ef6\u4e86\uff0c\u5219\u53ef\u4ee5\u9009\u62e9\u4e00\u5934\u65b0\u7684\uff0c\u5426\u5219\u9009\u62e9\u9700\u8981\u548c\u4e0a\u4e00\u5934\u76f8\u90bb\u7684\u5976\u725b\\n for (int _ = 0; _ < 8; _++) {\\n if (_ == 0 || cows[prev].adjcnt == 0) {\\n for (int i = 0; i < 8; i++) {\\n if (!cows[i].chosen && cows[i].adjcnt < 2) {\\n cows[i].chosen = true;\\n fout << names[i] << endl;\\n prev = i;\\n break;\\n }\\n }\\n } else if (cows[prev].adjcnt == 1) {\\n int i = cows[prev].adj[0];\\n cows[i].chosen = true;\\n // \u8fd9\u91cc\u7684\u64cd\u4f5c\u662f\u5728\u628acows[i]\u6dfb\u52a0\u5165\u961f\u5217\u7684\u540c\u65f6\u201c\u5220\u9664\u201d\u6389\u5b83\u5df2\u7ecf\u6ee1\u8db3\u7684\u90a3\u6761\u7ea6\u675f\\n cows[i].adjcnt--;\\n if(cows[i].adj[0] == prev)\\n cows[i].adj[0] = cows[i].adj[1];\\n fout << names[i] << endl;\\n prev = i;\\n }\\n }\\n return 0;\\n}\\n```"},{"id":"/2020/11/04/algorithm3","metadata":{"permalink":"/blog/2020/11/04/algorithm3","source":"@site/blog/2020-11-04-algorithm3.mdx","title":"\u9636\u4e58\u5b57\u7b26\u4e32","description":"\u8fd9\u662f C \u793e\u7b97\u6cd5\u56e2\u961f\u7684\u7b2c\u4e09\u6b21\u6d3b\u52a8\u3002\u6211\u4eec\u7814\u7a76\u4e86\u4e00\u9053\u4e0a\u6d77\u7701\u9009\u7684\u9898\u76ee\uff0c\u4e3b\u8981\u8fd0\u7528\u4e86\u72b6\u6001\u538b\u7f29\u52a8\u6001\u89c4\u5212\u7b97\u6cd5\u3002\u5176\u4e2d\u6570\u5b66\u90e8\u5206\u6bd4\u8f83\u56f0\u96be\uff0c\u5c1a\u672a\u7ed9\u51fa\u4e25\u683c\u8bc1\u660e\u3002","date":"2020-11-04T00:00:00.000Z","formattedDate":"2020\u5e7411\u67084\u65e5","tags":[{"label":"algorithm","permalink":"/blog/tags/algorithm"}],"readingTime":4.015,"hasTruncateMarker":true,"authors":[{"name":"DoremySwee","title":"2022 \u5c4a\u7b97\u6cd5\u5c0f\u7ec4\u6210\u5458","url":"https://github.com/DoremySwee","imageURL":"https://github.com/DoremySwee.png","key":"doremyswee"}],"frontMatter":{"title":"\u9636\u4e58\u5b57\u7b26\u4e32","authors":"doremyswee","tags":["algorithm"]},"prevItem":{"title":"Livestock Lineup","permalink":"/blog/2020/12/02/algorithm5"},"nextItem":{"title":"\u6590\u6ce2\u90a3\u5951\u6570\u5217","permalink":"/blog/2020/10/10/algorithm1"}},"content":"\u8fd9\u662f C \u793e\u7b97\u6cd5\u56e2\u961f\u7684\u7b2c\u4e09\u6b21\u6d3b\u52a8\u3002\u6211\u4eec\u7814\u7a76\u4e86\u4e00\u9053\u4e0a\u6d77\u7701\u9009\u7684\u9898\u76ee\uff0c\u4e3b\u8981\u8fd0\u7528\u4e86\u72b6\u6001\u538b\u7f29\u52a8\u6001\u89c4\u5212\u7b97\u6cd5\u3002\u5176\u4e2d\u6570\u5b66\u90e8\u5206\u6bd4\u8f83\u56f0\u96be\uff0c\u5c1a\u672a\u7ed9\u51fa\u4e25\u683c\u8bc1\u660e\u3002\\n\\n\x3c!--truncate--\x3e\\n\\n## \u9898\u76ee\\n\\n\\n\\n**\u9898\u76ee\u6765\u6e90\uff1a[\u6d1b\u8c37 P3989](https://www.luogu.com.cn/problem/P3989)**\\n\\n\u7ed9\u5b9a\u4e00\u4e2a\u7531\u524d$n$\u4e2a\u5c0f\u5199\u5b57\u6bcd\u7ec4\u6210\u7684\u4e32$S$\u3002\u4e32$S$\u662f\u9636\u4e58\u5b57\u7b26\u4e32\u5f53\u4e14\u4ec5\u5f53\u524d$n$\u4e2a\u5c0f\u5199\u5b57\u6bcd\u7684\u5168\u6392\u5217\uff08\u5171$n!$\u79cd\uff09\u90fd\u4f5c\u4e3a\u7684\u5b50\u5e8f\u5217\uff08\u53ef\u4ee5\u4e0d\u8fde\u7eed\uff09\u51fa\u73b0\u3002\\n\\n\u7531\u8fd9\u4e2a\u5b9a\u4e49\u51fa\u53d1\uff0c\u53ef\u4ee5\u5f97\u5230\u4e00\u4e2a\u7b80\u5355\u7684\u679a\u4e3e\u6cd5\u53bb\u9a8c\u8bc1\uff0c\u4f46\u662f\u5b83\u5b9e\u5728\u592a\u6162\u4e86\u3002\u6240\u4ee5\u73b0\u5728\u8bf7\u4f60\u8bbe\u8ba1\u4e00\u4e2a\u7b97\u6cd5\uff0c\u5728 1 \u79d2\u5185\u5224\u65ad\u51fa\u7ed9\u5b9a\u7684\u4e32\u662f\u5426\u662f\u9636\u4e58\u5b57\u7b26\u4e32\u3002\\n\\n| \u6570\u636e\u89c4\u6a21 | \u5185\u5b58\u9650\u5236 | \u8fd0\u884c\u65f6\u95f4 |\\n| ------------------------- | -------- | -------- |\\n| $\\\\|S\\\\|\\\\le 450$, $n\\\\le 26$ | 125MB | 1.0s |\\n\\n\\n\\n## \u9898\u89e3\\n\\n\u66b4\u529b\u89e3\u6cd5\u81ea\u7136\u662f\u679a\u4e3e\u5168\u6392\u5217\u5e76\u68c0\u9a8c\uff0c30%\u7684\u5206\u6570\u5230\u624b\uff0c\u4e0d\u8fc7\u8fd9\u4e2a\u7a0b\u5e8f\u6ca1\u6709\u5176\u5b83\u592a\u5927\u610f\u4e49\uff0c\u751a\u81f3\u7531\u4e8e\u9636\u4e58\u7ea7\u7684\u65f6\u95f4\u590d\u6742\u5ea6\u96be\u4ee5\u5bf9\u62cd\u3002\u4e0d\u591a\u4f5c\u8ba8\u8bba\u3002\\n\\n\u8003\u8651 70%\u7684\u5206\u6570\u3002$n\\\\le 20$\uff0c\u53ef\u4ee5\u8003\u8651$\\\\mathcal{O}(2^n)$\u7684\u7b97\u6cd5\u3002\u65e2\u7136\u4e0d\u80fd\u8fdb\u884c\u5168\u6392\u5217\u7684\u679a\u4e3e\uff0c\u90a3\u4e48\u5b8c\u5168\u53ef\u4ee5\u8003\u8651\u72b6\u6001\u538b\u7f29\u52a8\u6001\u89c4\u5212\uff0c\u679a\u4e3e\u4e00\u4e2a\u5b57\u6bcd\u662f\u5426\u51fa\u73b0\u5728\u72b6\u6001\u4e2d\u3002\u7531\u4e8e\u8981\u6c42\u89e3\u7684\u662f\u6574\u4e2a\u5b57\u7b26\u4e32\u4e2d\u662f\u5426\u5b58\u5728\u524d$n$\u4e2a\u5b57\u6bcd\u7684\u5168\u6392\u5217\uff0c\u5219\u8003\u8651$f(x)$\u8868\u793a$x$\u5bf9\u5e94\u7684\u51e0\u4e2a\u5b57\u6bcd\u7684\u5168\u6392\u5217\u6700\u65e9\u51fa\u73b0\u5728\u5b57\u7b26\u4e32\u79cd\u7684\u4f55\u5904\u3002\u72b6\u6001\u8f6c\u79fb\u65b9\u7a0b\u4e3e\u4f8b\uff1a\\n\\n$$\\n \\\\begin{aligned}\\n f(a,b,c,e)=\\\\max(&\u4ecef(a,b,c)\u5f00\u59cb\u627e\u7b2c\u4e00\u4e2a\\\\texttt{\'e\'}, \\\\\\\\\\n &\u4ecef(a,b,e)\u5f00\u59cb\u627e\u7b2c\u4e00\u4e2a\\\\texttt{\'c\'}, \\\\\\\\\\n &\u4ecef(a,c,e)\u5f00\u59cb\u627e\u7b2c\u4e00\u4e2a\\\\texttt{\'b\'}, \\\\\\\\\\n &\u4ecef(b,c,e)\u5f00\u59cb\u627e\u7b2c\u4e00\u4e2a\\\\texttt{\'a\'})\\n \\\\end{aligned}\\n$$\\n\\n\u4f46\u662f\u5982\u679c\u5bf9\u4e8e\u6bcf\u4e00\u4e2a\u5bfb\u627e\u90fd\u662f\u901a\u8fc7\u5faa\u73af\u5bfb\u627e\u7684\u8bdd\uff0c\u65f6\u95f4\u4f1a\u6709\u70b9\u957f\uff0c\u53ea\u80fd\u62ff 50 \u5206\uff0c\u9700\u8981\u8fdb\u884c\u4e00\u5b9a\u7684\u9884\u5904\u7406\u3002\u53ef\u4ee5\u5728\u9884\u5904\u7406\u4e4b\u540e\u7528\u4e8c\u5206\u67e5\u627e\uff0c\u4f46\u662f\u65b9\u4fbf\u8d77\u89c1\u5efa\u8bae\u6dfb\u52a0\u4e00\u4e2a\u6570\u7ec4\u6807\u8bb0\u6bcf\u4e00\u4e2a\u4f4d\u7f6e\u4e0b\u4e00\u4e2a\u76ee\u6807\u5b57\u6bcd\u7684\u4f4d\u7f6e\uff0c\u6240\u9700\u65f6\u95f4\u4e0d\u957f\uff0c$450\\\\times 26$\u800c\u5df2\u3002\\n\\n\u6700\u540e\uff0c\u8003\u8651\u5269\u4e0b\u7684\u5206\u6570\u70b9\u3002\u53ef\u4ee5\u53d1\u73b0\uff0c\u5bf9\u4e8e\u8fc7\u5927\u7684$n$\uff0c\u53ef\u4ee5\u76f4\u63a5\u8f93\u51fa`\\"No\\"`\uff0c\u81f3\u4e8e\u8fd9\u4e2a\u503c\u5982\u4f55\u786e\u5b9a\uff1f\u6309\u7167$n=3\\\\implies S=\\\\mathtt{abcbab}$\uff0c$n=4\\\\implies S=\\\\mathtt{abcdcbabcdcba}$\u8fd9\u79cd\u6784\u9020\u65b9\u5f0f$S$\u7684\u957f\u5ea6\u4e3a$n^2-n+1$\uff0c$n\\\\le 21$\uff0c\u4e0d\u8fc7\u8bc1\u660e\u8fc7\u4e8e\u56f0\u96be\u3002\u4e3a\u4fdd\u9669\u8d77\u89c1\uff0c\u56e0\u4e3a$n=22$\u65f6\u7528\u65f6\u662f\u53ef\u4ee5\u63a5\u53d7\u7684\uff0c\u53d6$n\\\\ge 23$\u65f6\u76f4\u63a5\u8f93\u51fa`\\"No\\"`\u3002\\n\\n## \u7a0b\u5e8f\\n\\n```cpp\\n#include \\n\\nusing namespace std;\\n\\nint main(){\\n int t;\\n cin >> t;\\n while (t--) {\\n int n;\\n cin >> n;\\n string s;\\n cin >> s;\\n if (n >= 23) {\\n cout << \\"NO\\" << endl;\\n } else {\\n short NEXT[26][450];\\n for (int i = s.length() - 1; i >= 0; i--) {\\n if (i == s.length() - 1) {\\n for (int j = 0; j < 26; j++)\\n NEXT[j][i] = -1;\\n } else {\\n for (int j = 0; j < 26; j++)\\n NEXT[j][i] = NEXT[j][i + 1];\\n }\\n NEXT[s[i] - \'a\'][i] = i;\\n }\\n short *f = new short[1 << n];\\n for (int i = 0; i < (1 << n); i++) {\\n f[i] = 0;\\n for (int j = 0; (1 << j) <= i; j++) {\\n if (i & (1 << j)) {\\n if (NEXT[j][f[i - (1 << j)]] == -1) {\\n cout << \\"NO\\" << endl;\\n return 0;\\n }\\n f[i] = max(f[i], NEXT[j][f[i - (1 << j)]]);\\n }\\n }\\n }\\n cout << \\"YES\\" << endl;\\n }\\n }\\n}\\n```"},{"id":"/2020/10/10/algorithm1","metadata":{"permalink":"/blog/2020/10/10/algorithm1","source":"@site/blog/2020-10-10-algorithm1.mdx","title":"\u6590\u6ce2\u90a3\u5951\u6570\u5217","description":"\u8fd9\u662f C \u793e\u7b97\u6cd5\u56e2\u961f\u7684\u7b2c\u4e00\u6b21\u6d3b\u52a8\u3002\u6211\u4eec\u4ecb\u7ecd\u4e86\u6590\u6ce2\u90a3\u5951\u6570\u5217\u7684\u7b2c$n$\u9879\u6c42\u89e3\u65b9\u6cd5\uff0c\u4e3b\u8981\u8fd0\u7528\u4e86\u77e9\u9635\u5feb\u901f\u5e42\u7b97\u6cd5\u3002","date":"2020-10-10T00:00:00.000Z","formattedDate":"2020\u5e7410\u670810\u65e5","tags":[{"label":"algorithm","permalink":"/blog/tags/algorithm"}],"readingTime":2.8,"hasTruncateMarker":true,"authors":[{"name":"Josh Cena","title":"\u4fe1\u606f\u5316\u793e 2022 \u5c4a\u793e\u957f","url":"https://github.com/Josh-Cena","imageURL":"https://github.com/Josh-Cena.png","key":"josh-cena"}],"frontMatter":{"title":"\u6590\u6ce2\u90a3\u5951\u6570\u5217","authors":"josh-cena","tags":["algorithm"]},"prevItem":{"title":"\u9636\u4e58\u5b57\u7b26\u4e32","permalink":"/blog/2020/11/04/algorithm3"},"nextItem":{"title":"Git \u4f7f\u7528\u6307\u5357\uff1a\u7406\u89e3 Git \u5de5\u4f5c\u539f\u7406","permalink":"/blog/2020/09/23/git-usage"}},"content":"\u8fd9\u662f C \u793e\u7b97\u6cd5\u56e2\u961f\u7684\u7b2c\u4e00\u6b21\u6d3b\u52a8\u3002\u6211\u4eec\u4ecb\u7ecd\u4e86\u6590\u6ce2\u90a3\u5951\u6570\u5217\u7684\u7b2c$n$\u9879\u6c42\u89e3\u65b9\u6cd5\uff0c\u4e3b\u8981\u8fd0\u7528\u4e86\u77e9\u9635\u5feb\u901f\u5e42\u7b97\u6cd5\u3002\\n\\n\x3c!--truncate--\x3e\\n\\n## \u9898\u76ee\\n\\n\\n\\n\u6590\u6ce2\u90a3\u5951\u6570\u5217\uff1a\\n\\n$$\\nF_{n}=\\n\\\\begin{cases}\\n 0,&n=0\\\\\\\\\\n 1,&n=1\\\\\\\\\\n F_{n-2}+F_{n-1},&n>1\\n\\\\end{cases}\\n$$\\n\\n\u7ed9\u5b9a$n$\uff0c\u6c42$F_{n}\\\\text{ mod }10^9+7$\u3002\\n\\n| \u6570\u636e\u89c4\u6a21 | \u5185\u5b58\u9650\u5236 | \u8fd0\u884c\u65f6\u95f4 |\\n| ------------------- | -------- | -------- |\\n| $0\\\\le n\\\\le 10^{19}$ | 64MB | 1.0s |\\n\\n\\n\\n## \u9898\u89e3\\n\\n$10^{19}$\u663e\u7136\u706d\u6389\u4e86\u6240\u6709\u7528\u5faa\u73af\u89e3\u51b3\u7684\u60f3\u6cd5\u3002\u6709\u6ca1\u6709\u6bd4\u7b80\u5355\u7684$\\\\mathcal{O}(n)$\u66f4\u597d\u4e00\u70b9\u7684\u65b9\u6cd5\uff1f\u7528**\u77e9\u9635\u5feb\u901f\u5e42**\uff0c\u53ef\u4ee5\u8fbe\u5230$\\\\mathcal{O}(\\\\log n)$\u3002\u89c2\u5bdf\u5230\uff1a\\n\\n$$\\\\begin{pmatrix}F_{n+1}\\\\\\\\F_{n+2}\\\\end{pmatrix}=\\\\begin{pmatrix}F_{n+1}\\\\\\\\F_{n}+F_{n+1}\\\\end{pmatrix}=\\\\begin{pmatrix}0&1\\\\\\\\1&1\\\\end{pmatrix}\\\\begin{pmatrix}F_{n}\\\\\\\\F_{n+1}\\\\end{pmatrix}$$\\n\\n\u8fd9\u4e00\u6b65\u5bf9\u4e8e\u6240\u6709\u9012\u63a8\u6570\u5217\u90fd\u662f\u9002\u7528\u7684\uff0c\u56e0\u6b64\u5728\u6709\u7ecf\u9a8c\u4e4b\u540e\u5e94\u8be5\u975e\u5e38\u5bb9\u6613\u5f97\u5230\u3002\u4e00\u822c\u5730\uff0c\u5bf9\u4e8e$F_{n+2}=aF_{n}+bF_{n+1}$\uff0c\u6709\\n\\n$$\\\\begin{pmatrix}F_{n+1}\\\\\\\\F_{n+2}\\\\end{pmatrix}=\\\\begin{pmatrix}F_{n+1}\\\\\\\\aF_{n}+bF_{n+1}\\\\end{pmatrix}=\\\\begin{pmatrix}0&1\\\\\\\\a&b\\\\end{pmatrix}\\\\begin{pmatrix}F_{n}\\\\\\\\F_{n+1}\\\\end{pmatrix}$$\\n\\n\u4ece\u9012\u63a8\u5f0f\u4e2d\u6709\\n\\n$$\\\\begin{pmatrix}F_{n+m}\\\\\\\\F_{n+m+1}\\\\end{pmatrix}=\\\\begin{pmatrix}0&1\\\\\\\\1&1\\\\end{pmatrix}^m\\\\begin{pmatrix}F_{n}\\\\\\\\F_{n+1}\\\\end{pmatrix}$$\\n\\n\u53d6$n=0$\uff0c\u5f97\u5230\\n\\n$$\\\\begin{pmatrix}F_{m}\\\\\\\\F_{m+1}\\\\end{pmatrix}=\\\\begin{pmatrix}0&1\\\\\\\\1&1\\\\end{pmatrix}^m\\\\begin{pmatrix}F_0\\\\\\\\F_1\\\\end{pmatrix}$$\\n\\n\u56e0\u6b64\u628a\u95ee\u9898\u8f6c\u5316\u6210\u4e86\u5982\u4f55\u6c42\u77e9\u9635$m$\u6b21\u65b9\u7684\u95ee\u9898\u3002\u5982\u679c\u8bbe$m=2^0a_0+2^1a_1+2^2a_2+\\\\dots$\uff08\u4e5f\u5c31\u662f\u628a$m$\u7528\u4e8c\u8fdb\u5236\u8868\u793a\uff09\uff0c\u90a3\u4e48\u6709\\n\\n$$\\\\begin{pmatrix}0&1\\\\\\\\1&1\\\\end{pmatrix}^m=\\\\left(\\\\begin{pmatrix}0&1\\\\\\\\1&1\\\\end{pmatrix}^{1}\\\\right)^{a_0}\\\\times \\\\left(\\\\begin{pmatrix}0&1\\\\\\\\1&1\\\\end{pmatrix}^{2}\\\\right)^{a_1}\\\\times \\\\left(\\\\begin{pmatrix}0&1\\\\\\\\1&1\\\\end{pmatrix}^{4}\\\\right)^{a_2}\\\\dots$$\\n\\n\u800c\u8fd9\u4e9b\u77e9\u9635\u7684$2^k$\u6b21\u65b9\uff0c\u5b8c\u5168\u53ef\u4ee5\u9884\u5904\u7406\u3002\u5f53$m$\u7684\u6570\u91cf\u7ea7\u4e3a$10^{19}$\u65f6\uff0c$k<\\\\log_2 10^{19}<64$\uff0c\u6700\u591a\u53ea\u9700\u8981\u5b58\u50a8 63 \u4e2a\u77e9\u9635\u3002\u5e76\u4e14\\n\\n$$\\\\begin{pmatrix}0&1\\\\\\\\1&1\\\\end{pmatrix}^{2^k}=\\\\begin{pmatrix}0&1\\\\\\\\1&1\\\\end{pmatrix}^{2^{k-1}}\\\\times \\\\begin{pmatrix}0&1\\\\\\\\1&1\\\\end{pmatrix}^{2^{k-1}}$$\\n\\n\u8fd9\u4e9b\u4e58\u65b9\u53ef\u4ee5\u5728$\\\\mathcal{O}(\\\\log m)$\u65f6\u95f4\u5185\u5f97\u5230\u3002\u8fd9\u4fbf\u662f\u5feb\u901f\u5e42\u7684\u601d\u60f3\uff1a\u8ba1\u7b97\u6240\u6709\u7684$2^k$\u6b21\u65b9\uff0c\u7136\u540e\u628a\u5176\u4e2d\u9700\u8981\u7684\u90a3\u4e9b\u7ec4\u5408\u8d77\u6765\u5373\u53ef\u3002\\n\\n## \u7a0b\u5e8f\\n\\n\u4e0b\u9762\u662f C++ \u4ee3\u7801\uff0c\u5176\u4e2d\u6700\u7e41\u7410\u7684\u90e8\u5206\u662f\u5b9e\u73b0\u77e9\u9635\u4e58\u6cd5\uff1a\\n\\n```cpp\\n#include \\n#include \\n\\nusing namespace std;\\n\\nstruct mat {\\n unsigned long long a[4];\\n mat operator *(mat o) {\\n mat t;\\n t.a[0] = (this->a[0] * o.a[0] + this->a[1] * o.a[2]) % 1000000007;\\n t.a[1] = (this->a[0] * o.a[1] + this->a[1] * o.a[3]) % 1000000007;\\n t.a[2] = (this->a[2] * o.a[0] + this->a[3] * o.a[2]) % 1000000007;\\n t.a[3] = (this->a[2] * o.a[1] + this->a[3] * o.a[3]) % 1000000007;\\n return t;\\n }\\n};\\n\\n// \u9884\u5904\u7406\u7684\u77e9\u9635 2^k \u6b21\u5e42\\nmat mat_pow[64];\\n\\nint fib(unsigned long long k) {\\n // \u4e34\u65f6\u77e9\u9635\uff0c\u6bcf\u6b21\u5728\u6b64\u4e0a\u9762\u4e58\u4ee5 mat_pow \u4e2d\u7684\u67d0\u9879\\n mat tmp;\\n tmp.a[0] = 1;\\n tmp.a[1] = 0;\\n tmp.a[2] = 0;\\n tmp.a[3] = 1;\\n for (int i = 0; i < 64; i++) {\\n // \u5982\u679c a_i \u4e3a 1\\n if (k & (1ull << i)) {\\n tmp = tmp * mat_pow[i];\\n }\\n }\\n return tmp.a[1];\\n}\\n\\nint main() {\\n mat_pow[0].a[0] = 0;\\n mat_pow[0].a[1] = 1;\\n mat_pow[0].a[2] = 1;\\n mat_pow[0].a[3] = 1;\\n for (int i = 1; i < 64; i++) {\\n mat_pow[i] = mat_pow[i-1] * mat_pow[i-1];\\n }\\n unsigned long long n;\\n cin >> n;\\n cout << fib(n) << endl;\\n return 0;\\n}\\n```\\n\\n\u8865\u5145\u4e00\u4e0b\u77e9\u9635\u7684\u4e58\u6cd5\u516c\u5f0f\uff1a\\n\\n$$\\\\begin{pmatrix}a_0&a_1\\\\\\\\a_2&a_3\\\\end{pmatrix}\\\\times\\\\begin{pmatrix}b_0&b_1\\\\\\\\b_2&b_3\\\\end{pmatrix}=\\\\begin{pmatrix}a_0b_0+a_1b_2&a_0b_1+a_1b_3\\\\\\\\a_2b_0+a_3b_2&a_2b_1+a_3b_3\\\\end{pmatrix}$$\\n\\n$$\\\\begin{pmatrix}a_0&a_1\\\\\\\\a_2&a_3\\\\end{pmatrix}\\\\times\\\\begin{pmatrix}b_0\\\\\\\\b_1\\\\end{pmatrix}=\\\\begin{pmatrix}a_0b_0+a_1b_1\\\\\\\\a_2b_0+a_3b_1\\\\end{pmatrix}$$"},{"id":"/2020/09/23/git-usage","metadata":{"permalink":"/blog/2020/09/23/git-usage","source":"@site/blog/2020-09-23-git-usage.md","title":"Git \u4f7f\u7528\u6307\u5357\uff1a\u7406\u89e3 Git \u5de5\u4f5c\u539f\u7406","description":"\u8fd9\u7bc7\u6587\u7ae0\u662f\u4eceC \u793e\u7684\u65b0\u6210\u5458\u7ec3\u624b repo \u7684 README.md \u7684\u7b2c\u4e00\u8282\u8f6c\u79fb\u8fc7\u6765\u7684\uff0c\u6dfb\u52a0\u4e86\u4e00\u4e9b\u5185\u5bb9\uff0c\u5e76\u505a\u4e86\u76f8\u5e94\u7684\u7ffb\u8bd1\u3002\uff08\u539f\u6587\u7528\u82f1\u6587\u7684\u539f\u56e0\uff0c\u5e94\u8be5\u662f sy \u5927\u4f6c\u548c\u6211\u90fd\u66f4\u4e60\u60ef\u7528\u82f1\u8bed\u5199\u6280\u672f\u76f8\u5173\u7684\u5185\u5bb9\u5427\u2026\u2026\uff09","date":"2020-09-23T00:00:00.000Z","formattedDate":"2020\u5e749\u670823\u65e5","tags":[{"label":"git","permalink":"/blog/tags/git"},{"label":"guide","permalink":"/blog/tags/guide"}],"readingTime":11.615,"hasTruncateMarker":true,"authors":[{"name":"Josh Cena","title":"\u4fe1\u606f\u5316\u793e 2022 \u5c4a\u793e\u957f","url":"https://github.com/Josh-Cena","imageURL":"https://github.com/Josh-Cena.png","key":"josh-cena"}],"frontMatter":{"title":"Git \u4f7f\u7528\u6307\u5357\uff1a\u7406\u89e3 Git \u5de5\u4f5c\u539f\u7406","authors":"josh-cena","tags":["git","guide"]},"prevItem":{"title":"\u6590\u6ce2\u90a3\u5951\u6570\u5217","permalink":"/blog/2020/10/10/algorithm1"},"nextItem":{"title":"Welcome","permalink":"/blog/2020/09/02/welcome"}},"content":"> \u8fd9\u7bc7\u6587\u7ae0\u662f\u4ece[C \u793e\u7684\u65b0\u6210\u5458\u7ec3\u624b repo](https://github.com/Computerization/New-member-practice-commit) \u7684 README.md \u7684\u7b2c\u4e00\u8282\u8f6c\u79fb\u8fc7\u6765\u7684\uff0c\u6dfb\u52a0\u4e86\u4e00\u4e9b\u5185\u5bb9\uff0c\u5e76\u505a\u4e86\u76f8\u5e94\u7684\u7ffb\u8bd1\u3002\uff08\u539f\u6587\u7528\u82f1\u6587\u7684\u539f\u56e0\uff0c\u5e94\u8be5\u662f sy \u5927\u4f6c\u548c\u6211\u90fd\u66f4\u4e60\u60ef\u7528\u82f1\u8bed\u5199\u6280\u672f\u76f8\u5173\u7684\u5185\u5bb9\u5427\u2026\u2026\uff09\\n\\n\u6dfb\u52a0\u6587\u4ef6\u65f6\uff0c\u4f60\u65e2\u53ef\u4ee5\u7528\u5e26\u56fe\u5f62\u7528\u6237\u754c\u9762\uff08GUI\uff09\u7684 GitHub Desktop\uff0c\u4e5f\u53ef\u4ee5\u7528\u547d\u4ee4\u884c\u3002\u4f60\u53ef\u4ee5\u4ece GUI \u5165\u624b\uff0c\u4f46\u4f60\u4f1a\u6709\u4e00\u5929\u610f\u8bc6\u5230\u547d\u4ee4\u884c\u529f\u80fd\u7684\u5f3a\u5927\uff0c\u5f00\u59cb\u7528\u5b83\u7684\u3002\u53e6\u5916\uff0cVisual Studio Code \u7684\u7528\u6237\u4eec\u4e5f\u53ef\u4ee5\u8bd5\u8bd5\u5176\u81ea\u5e26\u7684\u6e90\u4ee3\u7801\u7ba1\u7406\u5de5\u5177\u3002\\n\\n\u6211\u4eec\u89c9\u5f97\u6709\u5fc5\u8981\u7ed9\u4f60\u89e3\u91ca\u4f60\u6bcf\u4e00\u6b65\u7a76\u7adf\u5728\u505a\u4ec0\u4e48\uff0c\u800c\u4e0d\u662f\u8ba9\u4f60\u673a\u68b0\u5730\u91cd\u590d\u6211\u4eec\u5199\u597d\u7684\u6559\u7a0b\u3002\u8fd9\u5bf9\u4f60\u5c24\u5176\u6709\u5e2e\u52a9\uff0c\u56e0\u4e3a\u6559\u7a0b\u901a\u5e38\u90fd\u628a\u4e8b\u60c5\u60f3\u5f97\u5f88\u5b8c\u7f8e\uff0c\u4f46\u73b0\u5b9e\u5219\u5145\u6ee1\u4e86\u5404\u79cd\u610f\u5916\u548c\u53d8\u6570\u3002\u9605\u8bfb\u65f6\uff0c\u6211\u4eec\u5e76\u4e0d\u8981\u6c42\u4f60\u4e8b\u5148\u61c2\u5f97\u4efb\u4f55 Git \u64cd\u4f5c\u3002\\n\\n\x3c!--truncate--\x3e\\n\\n\u4f60\u53ef\u4ee5\u628a Git \u7406\u89e3\u6210\u4e00\u4e2a\u7248\u672c\u63a7\u5236\u7cfb\u7edf\u3002\u5b83\u80fd\u8bb0\u5f55\u6bcf\u4e2a\u6587\u4ef6\u7684\u521b\u5efa\u3001\u66f4\u6539\u3001\u548c\u5220\u9664\uff0c\u800c\u4ed3\u5e93\u7ba1\u7406\u8005\u53ef\u4ee5\u5728\u5404\u4e2a\u7248\u672c\uff08commit[^commit]\uff09\u95f4\u81ea\u7531\u5207\u6362\uff0c\u5c31\u597d\u50cf\u6e38\u620f\u4e2d\u7684\u82e5\u5e72\u5b58\u6863\u4e00\u6837\u3002\\n\\n[^commit]: \u4e2d\u6587\u5927\u81f4\u610f\u601d\u662f\u201c\u63d0\u4ea4\u201d\u2014\u2014\u8fd9\u4e5f\u662f\u6211\u4e0d\u559c\u6b22\u7528\u4e2d\u6587\u5199\u4f5c\u7684\u539f\u56e0\uff0c\u4e2d\u82f1\u6df7\u6742\u603b\u662f\u96be\u4ee5\u907f\u514d\u3002\\n\\n## \u57fa\u7840\u64cd\u4f5c\uff1aclone, branch, commit, push, pull request\\n\\n\u5047\u8bbe\u73b0\u5728 GitHub \u4e0a\u6709\u8fd9\u6837\u4e00\u4e2a\u53eb `Hello` \u7684\u4ed3\u5e93\uff0c\u662f\u7531\u5c0f\u4e3d\u521b\u5efa\u7684\uff0c\u88c5\u7740\u53ef\u80fd\u662f\u5386\u53f2\u4e0a*\u6700*\u8457\u540d\u7684\u4e00\u6bb5\u4ee3\u7801\u3002\u5b83\u7684\u76ee\u5f55\u957f\u8fd9\u4e2a\u6837\u5b50\uff1a\\n\\n```bash\\n.\\n\u251c\u2500\u2500 Hello.cpp\\n\u2502\\n\u251c\u2500\u2500 Contributors.txt\\n\u2502\\n\u2514\u2500\u2500 README.md\\n```\\n\\n```cpp\\n// Hello.cpp\\n#include \\nusing namespace std;\\nint main() {\\n cout << \\"Hello world!\\" << endl;\\n}\\n```\\n\\n```bash\\n// Contributors.txt\\nXiaoLi\\n```\\n\\n```markdown\\n// README.md\\n\\n# Hello world\\n\\nA piece of C++ code that prints `Hello world!`\\n```\\n\\n\u4f60\u53ef\u4ee5\u628a\u6bcf\u4e2a commit \u770b\u4f5c\u662f\u6574\u4e2a\u4ed3\u5e93\u7684\u4e00\u4e2a\u5feb\u7167\uff0c\u4e00\u4e2a\u62f7\u8d1d\u3002\u5b9e\u9645\u4e0a\u5b83\u8981\u6bd4\u4e00\u4efd\u5b8c\u6574\u7684\u62f7\u8d1d\u8f7b\u91cf\u5f97\u591a\uff0c\u4f46\u539f\u7406\u4e0a\u5b83\u4fdd\u5b58\u4e86\u90a3\u4e00\u65f6\u523b\u4ed3\u5e93\u7684\u5168\u90e8\u4fe1\u606f\u3002\u6bd4\u5982\u4e0a\u9762\u7684\u7248\u672c\u5c31\u53ef\u4ee5\u770b\u4f5c `C0` commit\u3002\uff08\u6bcf\u4e2a commit \u90fd\u6709\u4e00\u4e2a\u72ec\u6709\u7684\u54c8\u5e0c\u503c\uff0c\u4f46\u957f\u5230\u4eba\u7c7b\u65e0\u6cd5\u9605\u8bfb\u3002\u56e0\u6b64\u7528 `C0` \u6765\u6307\u4ee3\u5c31\u597d\u4e86\u3002\uff09\u6211\u4eec\u4e5f\u7ba1\u8fd9\u4e2a commit \u53eb `master` \u5206\u652f\u3002_\u4e00\u4e2a\u5206\u652f\u5373\u4e00\u7cfb\u5217\u6709\u7ebf\u6027\u53d1\u5c55\u5173\u7cfb\u7684 commit\uff0c\u800c `master` \u5206\u652f\u5219\u4f5c\u4e3a\u4e3b\u5206\u652f\u3002\u5b9e\u9645\u4e0a\uff0c\u4e00\u4e2a\u5206\u652f\u5c31\u662f\u4e00\u4e2a\u6307\u5411\u67d0\u4e2a commit \u7684\u6307\u9488\u3002_ \u8be5\u9879\u76ee\u76ee\u524d\u7684\u6811\u72b6\u7ed3\u6784\u5982\u4e0b\uff1a\\n\\n\\"Git\\n\\n\u8bed\u8a00\u5b66\u5bb6\u5c0f\u660e\u53d1\u73b0\u4e86\u8fd9\u4e2a\u4ed3\u5e93\u3002\u4ed6\u5bf9\u6b64\u5f88\u611f\u5174\u8da3\uff0c\u4f46\u4ed6\u5bf9\u5c0f\u4e3d\u8fd8\u5728\u7528\u53e4\u65e9\u7684 `Hello world!` \u975e\u5e38\u4e0d\u6ee1\uff0c\u56e0\u6b64\u51b3\u5b9a\u505a\u70b9\u8d21\u732e\u3002\u4e3a\u6b64\uff0c\u4ed6\u9700\u8981\u5148\u628a\u8fd9\u4e2a\u6587\u4ef6\u5939\uff08\u4e5f\u5c31\u662f\u4ed3\u5e93\uff09\u4e0b\u8f7d\u4e0b\u6765\u3002\u8fd9\u57fa\u672c\u5c31\u662f **_\u514b\u9686\u4ed3\u5e93 (clone the repo)_** \u505a\u7684\u4e8b\u60c5\u3002\\n\\n\u5c0f\u660e\u5728\u81ea\u5df1\u7684\u673a\u5668\u4e0a\u6709\u4e86\u4e00\u4efd\u5b8c\u6574\u7684\u62f7\u8d1d\u540e\uff0c\u5c31\u53ef\u4ee5\u50cf\u672c\u5730\u9879\u76ee\u4e00\u6837\u4f5c\u7f16\u8f91\u4e86\u3002\u4ed6\u5bf9\u4e09\u4e2a\u6587\u4ef6\u90fd\u4f5c\u4e86\u66f4\u65b0\uff1a\\n\\n```cpp\\n// Hello.cpp\\n#include \\nusing namespace std;\\nint main() {\\n cout << \\"Bonjour le monde!\\" << endl;\\n}\\n```\\n\\n```bash\\n// Contributors.txt\\nXiaoLi\\nXiaoMing\\n```\\n\\n```markdown\\n// README.md\\n\\n# Hello world\\n\\nA piece of C++ code that prints `Bonjour le monde!`\\n```\\n\\n\u73b0\u5728\u4ed6\u7684\u76f4\u89c9\u544a\u8bc9\u4ed6\uff0c\u4ed6\u9700\u8981\u628a\u8fd9\u4e9b\u4ee3\u7801\u53d1\u56de GitHub\u3002\u8981\u505a\u5230\u8fd9\u4e00\u70b9\uff0c\u4ed6\u53ef\u4ee5\u76f4\u63a5\u63d0\u4ea4\u4e00\u4e2a commit\u3002\u4f46\u8fd9\u91cc\u6709\u4e2a\u4e25\u5cfb\u7684\u95ee\u9898\uff1a_\u5c0f\u4e3d\u5bf9\u5c0f\u660e\u7684\u884c\u4e3a\u5b8c\u5168\u6ca1\u6709\u63a7\u5236\u3002_ \u4e8b\u5b9e\u4e0a\uff0c\u5927\u591a\u6570\u516c\u5f00\u4ed3\u5e93\uff08\u5305\u62ec C \u793e\u7684\uff09\u90fd\u9650\u5236\u4e86\u5176\u4ed6\u4eba\u76f4\u63a5\u5411 `master` \u63d0\u4ea4 commit\uff0c\u56e0\u4e3a\u6ca1\u6709\u54ea\u4e2a\u73af\u8282\u53ef\u4ee5\u505a\u5b89\u5168\u9a8c\u8bc1\u3002\u4e00\u65e6\u6210\u529f commit\uff0c\u5c0f\u4e3d\u5c31\u4f1a\u60ca\u8bb6\u5730\u53d1\u73b0\u5979 GitHub \u4e0a\u7684\u4ee3\u7801\u53d8\u6210\u4e86\u6cd5\u8bed\u3002\u5e76\u4e14\u65e0\u8bba\u5982\u4f55\uff0c\u8fd9\u4e5f\u662f\u975e\u5e38\u6076\u52a3\u7684\u884c\u4e3a\uff1a**\u5728\u4efb\u4f55\u5408\u4f5c\u9879\u76ee\u4e2d\uff0c\u90fd\u6c38\u8fdc\u4e0d\u8981\u76f4\u63a5\u5411 master \u5206\u652f\u63d0\u4ea4 commit\u3002**~~\uff08\u9664\u975e\u4f60\u8fd8\u6709\u4e00\u5468\u5c31\u8981\u8f9e\u804c\u4e86\uff09~~ \u5411 `master` \u63d0\u4ea4 commit \u8fd8\u6709\u4e00\u4e2a\u95ee\u9898\uff0c\u6211\u4eec\u9a6c\u4e0a\u5c31\u4f1a\u770b\u5230\u3002\\n\\n\u56e0\u6b64\u4e3a\u4e86\u89e3\u51b3\u8fd9\u4e00\u95ee\u9898\uff0c\u5c0f\u660e **_\u65b0\u5efa\u4e86\u4e00\u4e2a\u5206\u652f (create a branch)_** \uff0c\u5e76\u628a\u5b83\u547d\u540d\u4e3a `XiaoMing/change-output-language`\u3002\u6211\u4eec\u53ef\u4ee5\u8ba4\u4e3a\uff0c\u5c0f\u660e\u662f\u5728\u4e00\u4e2a\u548c `master` \u76f8\u540c\u4f46\u72ec\u7acb\u7684\u6587\u4ef6\u5939\u91cc\u5de5\u4f5c\uff0c\u800c\u4ed6\u505a\u51fa\u7684\u4efb\u4f55\u6539\u52a8\u90fd\u4e0d\u4f1a\u5f71\u54cd `master`\u3002\u8fd9\u4e0d\u4ec5\u80fd\u660e\u786e\u4ed6\u7684\u76ee\u7684\uff0c\u786e\u5b9a\u4ed6\u5206\u652f\u4f5c\u8005\u7684\u5730\u4f4d\uff0c\u8fd8\u80fd\u907f\u514d\u51b2\u7a81\u548c\u6df7\u4e71\u3002\\n\\n\u73b0\u5728\u8fd9\u4e9b\u53d8\u66f4\u90fd\u4f1a\u88ab\u8bb0\u5f55\u5728 `XiaoMing/change-output-language` \u4e2d\u3002\u4f46\u5f53\u4ed6\u51c6\u5907 commit \u65f6\uff0c\u4ed6\u8bb0\u8d77\u4e86\u53e6\u4e00\u6761\u51c6\u5219\uff1a**\u4e00\u4e2a commit \u53ea\u5e94\u8be5\u5b9e\u73b0\u4e00\u4e2a\u529f\u80fd\u3002** \u91cd\u65b0\u5ba1\u89c6\u81ea\u5df1\u7684\u6539\u52a8\uff0c\u4ed6\u89c9\u5f97\u6539\u53d8\u8bed\u8a00\u548c\u5728 `Contributors.txt` \u91cc\u6dfb\u52a0\u81ea\u5df1\u7684\u540d\u5b57\u5e94\u8be5\u662f\u72ec\u7acb\u7684\u6539\u52a8\u3002\uff08\u8fd9\u91cc\u7684\u533a\u522b\u5fae\u4e4e\u5176\u5fae\uff0c\u4f46\u5728\u5b9e\u9645\u7684\u9879\u76ee\u4e2d\u8fd8\u662f\u975e\u5e38\u5bb9\u6613\u5224\u65ad\u7684\u3002\uff09\u56e0\u6b64\u4ed6 **_\u4e0a\u4f20\u4e86\u4e24\u4e2a commit (make a commit)_** \uff0c\u5206\u522b\u547d\u540d\u4e3a `Change output to French` \u548c `Add XiaoMing\'s name to Contributors.txt`\uff0c\u800c\u5b83\u4eec\u7684\u54c8\u5e0c\u503c\u5206\u522b\u4e3a `C1` \u548c `C2`\u3002\u6ce8\u610f\uff0c\u4ed6\u4e0d\u4e00\u5b9a\u662f\u6309\u987a\u5e8f\u505a\u51fa\u8fd9\u4e9b\u6539\u52a8\u7684\uff0c\u4f46 Git \u628a `C2` \u5f53\u4f5c `C1` \u7684\u7ee7\u627f\u8005\uff0c\u56e0\u4e3a\u5b83\u662f\u540e\u6765\u7684 commit\u3002\u73b0\u5728\uff0c`XiaoMing/change-output-language` \u8fd9\u4e00\u5206\u652f\u5c31\u6307\u5411\u4e86 `C2` commit\u3002\u8be5\u4ed3\u5e93\u73b0\u5728\u7684 Git \u6811\u5982\u4e0b\uff1a\\n\\n\\"Git\\n\\n\u6b64\u65f6\u4ed6\u7684\u6539\u52a8\u8fd8\u53ea\u662f\u672c\u5730\u7684\u2014\u2014\u6ca1\u4eba\u80fd\u5728 GitHub \u7f51\u9875\u4e0a\u770b\u5230\u5b83\u4eec\u3002\u56e0\u6b64\u4ed6\u63a5\u4e0b\u6765 **_\u53d1\u5e03\u4e86\u5206\u652f\u5e76\u5c06\u5176\u63a8\u9001\u81f3\u6e90 (publish branch and push to origin)_** \u3002\u8fd9\u4f1a\u628a `XiaoMing/change-output-language` \u8fd9\u4e00\u5206\u652f\u53ca\u5176\u5305\u542b\u7684\u6240\u6709 commit \u4e0a\u4f20\u5230 GitHub \u8fdc\u7a0b\u7ec8\u7aef\u3002\\n\\n\u5f53\u4ed6\u53d1\u5e03\u4e86\u5206\u652f\u4e4b\u540e\uff0c\u5176\u540e\u5728\u8be5\u5206\u652f\u4e0a\u505a\u51fa\u7684\u4efb\u4f55 commit \u90fd\u4f1a\u81ea\u52a8\u88ab\u540c\u6b65\u5230 GitHub \u4e0a\u3002\\n\\n\u7d27\u63a5\u7740\uff0c\u4ed6 **_\u53d1\u5e03\u4e86\u62c9\u53d6\u8bf7\u6c42 (create pull request)_** \uff0c\u8bf7\u6c42\u4ee3\u7801\u62e5\u6709\u8005\uff08\u4e5f\u5c31\u662f\u5c0f\u4e3d\uff09\u5408\u5e76\u8fd9\u4e00\u5206\u652f\u3002_\u5206\u652f\u88ab\u5408\u5e76\u540e\uff0c\u6240\u6709\u7684\u6539\u53d8\u90fd\u4f1a\u5728 `master` \u4e2d\u4f53\u73b0\u51fa\u6765\u3002_\\n\\n\u53ea\u6709\u4e00\u4e2a\u5206\u652f\u65f6\uff0c\u4e8b\u60c5\u975e\u5e38\u7b80\u5355\uff0c\u56e0\u4e3a\u6b64\u65f6\u5206\u652f\u4e0a\u6240\u6709\u7684 commit \u90fd\u662f `master` \u7684\u7ee7\u627f\u8005\uff0c\u5728\u5408\u5e76\u5206\u652f\u65f6\uff0cGit \u53ea\u9700\u8981\u628a\u6240\u6709\u4e1c\u897f\u90fd\u52a0\u5230 `master`\uff0c\u4e5f\u5c31\u662f `C0` \u4e0a\uff0c\u5c31\u53ef\u4ee5\u4e86\u3002\u56e0\u6b64\uff0c\u5b83\u4f1a\u79fb\u52a8 `master` \u6307\u9488\uff1a\\n\\n\\"Git\\n\\n\u800c\u4e8b\u5b9e\u4e0a\uff0c\u4ee5\u4e0a\u5c31\u662f\u6240\u6709 Git \u65b0\u7528\u6237\u9700\u8981\u660e\u767d\u7684\u64cd\u4f5c\u3002\u4f46\u4f5c\u4e3a\u672a\u6765\u7684 GitHub \u4ee3\u7801\u7ba1\u7406\u8005\uff0c\u4f60\u5e94\u5f53\u601d\u8003\u5f97\u66f4\u6df1\u5165\u4e00\u70b9\u3002\\n\\n## \u89e3\u51b3\u51b2\u7a81\\n\\n\u4e3a\u4e86\u8ba9\u4e8b\u60c5\u66f4\u6709\u8da3\u4e00\u70b9\uff0c\u6211\u4eec\u53c8\u540c\u65f6\u8bf7\u6765\u4e86\u5b88\u65e7\u6d3e\u5c0f\u7ea2\u3002\u5979\u5bf9\u5c0f\u4e3d\u5fd8\u8bb0\u5728 cpp \u6587\u4ef6\u7ed3\u5c3e\u52a0 `return 0;` \u975e\u5e38\u4e0d\u6ee1\uff0c\u56e0\u6b64\u51b3\u5b9a\u4fee\u6b63\u8fd9\u4e00\u95ee\u9898\u3002\u540c\u6837\u5730\uff0c\u5979\u590d\u5236\u4e86\u4ed3\u5e93\uff0c\u5728 `master` \u4e0a\u65b0\u5efa\u4e86\u4e00\u4e2a\u53eb `XiaoHong/improve-code-style` \u7684\u5206\u652f\uff0c\u800c\u7531\u4e8e\u6b64\u65f6\u5c0f\u660e\u8fd8\u6ca1\u6709\u63d0\u4ea4\u5206\u652f\uff0c`master` \u4ecd\u7136\u6307\u5411 `C0`\u3002\u6587\u4ef6\u6539\u52a8\u5982\u4e0b\uff08`C3`\uff09\uff1a\\n\\n```cpp\\n// Hello.cpp\\n#include \\nusing namespace std;\\nint main() {\\n cout << \\"Hello world!\\" << endl;\\n return 0;\\n}\\n```\\n\\n```bash\\n// Contributors.txt\\nXiaoLi\\nXiaoHong\\n```\\n\\n```markdown\\n// README.md\\n\\n# Hello world\\n\\nA piece of C++ code that prints `Hello world!`\\n```\\n\\n\u5979\u53d1\u5e03\u4e86\u5206\u652f\u5e76\u63d0\u4ea4\u4e86\u5408\u5e76\u8bf7\u6c42\u3002\u6b64\u65f6\uff0cGit \u6811\u5982\u4e0b\uff1a\\n\\n\\"Git\\n\\n\u5c0f\u4e3d\u5348\u4f11\u7ed3\u675f\u4e4b\u540e\uff0c\u56de\u5230 GitHub \u9875\u9762\u4e0a\uff0c\u53d1\u73b0\u591a\u4e86\u4e24\u4e2a\u5408\u5e76\u8bf7\u6c42\u3002\u5979\u5f00\u5fc3\u5730\u5408\u5e76\u4e86\u5c0f\u660e\u7684\u8bf7\u6c42\uff1a\\n\\n\\"Git\\n\\n\u4f46\u5374\u53d1\u73b0\u4e0d\u80fd\u76f4\u63a5\u5408\u5e76\u5c0f\u7ea2\u7684\u3002GitHub \u8b66\u544a\u8bf4\uff0c\u8be5\u5206\u652f\u548c `master` \u95f4\u6709\u51b2\u7a81\uff0c\u56e0\u4e3a\u6709\u540c\u65f6\u4f5c\u51fa\u7684\u4fee\u6539\uff0cGit \u4e0d\u77e5\u9053\u8981\u7559\u4e0b\u54ea\u4e00\u4e2a\uff0c\u56e0\u6b64\u9700\u8981\u5979\u624b\u52a8\u89e3\u51b3\u51b2\u7a81\u3002\u89e3\u51b3\u9875\u9762\u6709\u5982\u4e0b\u7684\u5185\u5bb9\uff1a\\n\\n```cpp\\n// Hello.cpp\\n #include \\n using namespace std;\\n int main() {\\n <<<<<<< master\\n cout << \\"Bonjour le monde!\\" << endl;\\n =======\\n cout << \\"Hello world!\\" << endl;\\n return 0;\\n >>>>>>> XiaoHong/improve-code-style\\n }\\n```\\n\\n```bash\\n// Contributors.txt\\n XiaoLi\\n <<<<<<< master\\n XiaoMing\\n =======\\n XiaoHong\\n >>>>>>> XiaoHong/improve-code-style\\n```\\n\\n\u6ce8\u610f\u5230 README.md \u6587\u4ef6\u4e0d\u9700\u8981\u89e3\u51b3\u51b2\u7a81\uff0c\u56e0\u4e3a\u53ea\u6709\u5c0f\u660e\u4f5c\u4e86\u4fee\u6539\uff1bGit \u8fd8\u662f\u80fd\u610f\u8bc6\u5230\u8fd9\u4e00\u70b9\u7684\u3002\u600e\u4e48\u89e3\u51b3\u4e0a\u8ff0\u95ee\u9898\u5bf9\u5c0f\u4e3d\u8fd9\u6837\u7684\u4eba\u7c7b\u8fd8\u662f\u975e\u5e38\u663e\u7136\u7684\uff1a\u53ea\u8981\u540c\u65f6\u7559\u4e0b\u4e24\u4eba\u6240\u505a\u7684\u6539\u52a8\u5373\u53ef\u3002\u56e0\u6b64\uff0c\u5979\u5220\u53bb\u4e86\u591a\u4f59\u7684\u5185\u5bb9\uff0c\u89e3\u51b3\u4e86\u51b2\u7a81\uff0c\u5e76\u5408\u5e76\u4e86\u5c0f\u7ea2\u7684\u5206\u652f\u3002\u6587\u4ef6\u73b0\u5728\u7684\u6837\u5b50\uff08`C4`\uff09\uff1a\\n\\n```cpp\\n// Hello.cpp\\n#include \\nusing namespace std;\\nint main() {\\n cout << \\"Bonjour le monde!\\" << endl;\\n return 0;\\n}\\n```\\n\\n```bash\\n// Contributors.txt\\nXiaoLi\\nXiaoMing\\nXiaoHong\\n```\\n\\n```markdown\\n// README.md\\n\\n# Hello world\\n\\nA piece of C++ code that prints `Bonjour le monde!`\\n```\\n\\n\u800c\u5728\u5408\u5e76\u4e00\u4e2a\u5e76\u4e0d\u662f\u81ea\u5df1\u7684\u7ee7\u627f\u8005\u7684\u5206\u652f\u65f6\uff0cGit \u4f1a\u65b0\u5efa\u4e00\u4e2a commit\uff1a\\n\\n\\"Git\\n\\n\u6b64\u65f6\uff0c\u5c0f\u4e3d\u3001\u5c0f\u660e\u3001\u5c0f\u7ea2\u4e09\u4eba\u5c31\u6210\u529f\u5730\u5b8c\u6210\u4e86\u4e00\u6b21\u5728 GitHub \u4e0a\u7684\u5f00\u6e90\u9879\u76ee\u5408\u4f5c\u3002\\n\\n\u5982\u679c\u60f3\u8981\u5b66\u4e60\u66f4\u591a Git \u6709\u5173\u7684\u77e5\u8bc6\uff0c\u5e76\u6df1\u5165\u7814\u7a76\u5b83\u7684\u6811\u72b6\u7ed3\u6784\uff0c\u53ef\u4ee5\u8bbf\u95ee\u8fd9\u4e2a\u7f51\u7ad9\uff1a[Learn Git Branching](https://learngitbranching.js.org)\\n\\n## \u62d3\u5c55\u9605\u8bfb\\n\\n\u5982\u679c\u60f3\u8981\u4e86\u89e3 `pull`, `push`, `commit`, `add`, \u548c `checkout` \u65f6\u5177\u4f53\u53d1\u751f\u4e86\u4ec0\u4e48\uff0c\u53ef\u4ee5\u53c2\u8003\u4ee5\u4e0b\u7f51\u7ad9\uff1a\\n\\n- [Git SCM - Getting Started: Git Basics](https://git-scm.com/book/en/v1/Getting-Started-Git-Basics)\\n- [Git SCM - Git Branching: Branches in a Nutshell](https://git-scm.com/book/en/v2/Git-Branching-Branches-in-a-Nutshell)\\n- [Git SCM - Git Branching: Branching Workflows](https://git-scm.com/book/en/v2/Git-Branching-Branching-Workflows)\\n- [Stack Overflow - What\'s the difference between HEAD, working tree and index, in Git?](https://stackoverflow.com/questions/3689838/whats-the-difference-between-head-working-tree-and-index-in-git)\\n- [Understanding Git: Data Model](https://hackernoon.com/https-medium-com-zspajich-understanding-git-data-model-95eb16cc99f5)\\n- [Understanding Git: Branching](https://hackernoon.com/understanding-git-branching-2662f5882f9)\\n- [Understanding Git: Index](https://hackernoon.com/understanding-git-index-4821a0765cf)\\n\\n\u9664\u6b64\u4e4b\u5916\uff0c\u5982\u679c\u4f60\u4e0d\u559c\u6b22\u9605\u8bfb\u957f\u7bc7\u5927\u8bba\uff0c\u4f60\u53ef\u4ee5\u89c2\u770b\u4e0b\u9762\u8fd9\u4e2a\u957f\u7ea6 82 \u5206\u949f\u7684 YouTube \u89c6\u9891\uff1a\\n\\n- [\\\\[VIDEO\\\\] Introduction to Git with Scott Chacon of GitHub](https://www.youtube.com/watch?v=ZDR433b0HJY)\\n\\n\u4e5f\u53ef\u4ee5\u5728\u8fd9\u4e2a\u53ef\u89c6\u5316\u7684\u9875\u9762\u4e0a\u5c1d\u8bd5\u5404\u7c7b Git \u6307\u4ee4\uff1a\\n\\n- [Learn Git Branching](https://learngitbranching.js.org)"},{"id":"/2020/09/02/welcome","metadata":{"permalink":"/blog/2020/09/02/welcome","source":"@site/blog/2020-09-02-welcome.md","title":"Welcome","description":"Computerization\u6b22\u8fce\u6240\u6709 2020 \u5c4a\u65b0\u6210\u5458\uff01","date":"2020-09-02T00:00:00.000Z","formattedDate":"2020\u5e749\u67082\u65e5","tags":[{"label":"welcome","permalink":"/blog/tags/welcome"}],"readingTime":0.55,"hasTruncateMarker":false,"authors":[{"name":"Josh Cena","title":"\u4fe1\u606f\u5316\u793e 2022 \u5c4a\u793e\u957f","url":"https://github.com/Josh-Cena","imageURL":"https://github.com/Josh-Cena.png","key":"josh-cena"}],"frontMatter":{"title":"Welcome","authors":"josh-cena","tags":["welcome"]},"prevItem":{"title":"Git \u4f7f\u7528\u6307\u5357\uff1a\u7406\u89e3 Git \u5de5\u4f5c\u539f\u7406","permalink":"/blog/2020/09/23/git-usage"}},"content":"**Computerization**\u6b22\u8fce\u6240\u6709 2020 \u5c4a\u65b0\u6210\u5458\uff01\\n\\n\u5728\u8fd9\u91cc\uff0c\u4f60\u53ef\u4ee5\uff1a\\n\\n- \u53c2\u4e0e\u65b0\u5e73\u53f0 [Enspire](https://github.com/Computerization/Enspire) \u7684\u5f00\u53d1\uff1b\\n- \u7814\u7a76\u4eba\u5de5\u667a\u80fd (e.g. \u795e\u7ecf\u7f51\u7edc\u3001\u673a\u5668\u5b66\u4e60)\uff1b\\n- \u53c2\u4e0e Leetcode \u5468\u8d5b\u7b49\u5404\u7c7b\u7b97\u6cd5\u7ade\u8d5b\uff1b\\n- \u5b66\u4e60\u524d\u540e\u7aef\u6280\u672f\u4e0e\u7f51\u9875\u8bbe\u8ba1\uff0c\u96f6\u8ddd\u79bb\u4f53\u9a8c Web \u9879\u76ee\u5f00\u53d1\uff1b\\n- \u2026\u2026\\n\\n\u6211\u4eec\u5e0c\u671b\u5404\u4f4d\u65b0\u6210\u5458\u80fd\u5728\u8fd9\u4e00\u5e74\u5185\u6109\u5feb\u5b66\u4e60\uff0c\u83b7\u5f97\u81ea\u6211\u63d0\u5347\uff0c\u5e76\u7ed3\u8bc6\u5fd7\u8da3\u76f8\u6295\u7684\u4f19\u4f34\u3002"}]}')}}]); \ No newline at end of file diff --git a/assets/js/b2f554cd.3cf61d5c.js b/assets/js/b2f554cd.3cf61d5c.js new file mode 100644 index 00000000..88cab7bd --- /dev/null +++ b/assets/js/b2f554cd.3cf61d5c.js @@ -0,0 +1 @@ +"use strict";(self.webpackChunkcomputerization_website=self.webpackChunkcomputerization_website||[]).push([[1477],{10:function(n){n.exports=JSON.parse('{"blogPosts":[{"id":"/2021/11/24/network-flow","metadata":{"permalink":"/blog/2021/11/24/network-flow","source":"@site/blog/2021-11-24-network-flow.md","title":"OI \u90e8\u6d3b\u52a8-\u7f51\u7edc\u6d41\u95ee\u9898\u4ecb\u7ecd","description":"\u5728\u4eca\u5929 C \u793e OI \u90e8\u7684\u6d3b\u52a8\u4e2d\uff0c\u6211\u4eec\u5148\u8fdb\u884c\u4e86\u7834\u51b0\u6d3b\u52a8\u2014\u2014\u81ea\u6211\u4ecb\u7ecd\u5e76\u4ea4\u6d41\u6709\u8da3\u7684\u7b97\u6cd5\u77e5\u8bc6\u3002\u901a\u8fc7\u8fd9\u72ec\u7279\u7684\u5f62\u5f0f\u6211\u4eec\u5f97\u4ee5\u589e\u8fdb\u5bf9\u5f7c\u6b64\u7684\u4e86\u89e3\uff0c\u5e76\u4e3a\u4e4b\u540e\u7684\u5408\u4f5c\u6253\u4e0b\u57fa\u7840\u3002","date":"2021-11-24T00:00:00.000Z","formattedDate":"2021\u5e7411\u670824\u65e5","tags":[{"label":"algorithm","permalink":"/blog/tags/algorithm"}],"readingTime":12.97,"hasTruncateMarker":true,"authors":[{"name":"\u987e\u6dc7\u5143 Alex","title":"2023 \u5c4a\u7b97\u6cd5\u5c0f\u7ec4\u6210\u5458","url":"https://github.com/phoeniiix1203","imageURL":"https://github.com/phoeniiix1203.png","key":"alex-gu"}],"frontMatter":{"authors":"alex-gu","tags":["algorithm"]},"unlisted":false,"nextItem":{"title":"Livestock Lineup","permalink":"/blog/2020/12/02/algorithm5"}},"content":"\u5728\u4eca\u5929 C \u793e OI \u90e8\u7684\u6d3b\u52a8\u4e2d\uff0c\u6211\u4eec\u5148\u8fdb\u884c\u4e86\u7834\u51b0\u6d3b\u52a8\u2014\u2014\u81ea\u6211\u4ecb\u7ecd\u5e76\u4ea4\u6d41\u6709\u8da3\u7684\u7b97\u6cd5\u77e5\u8bc6\u3002\u901a\u8fc7\u8fd9\u72ec\u7279\u7684\u5f62\u5f0f\u6211\u4eec\u5f97\u4ee5\u589e\u8fdb\u5bf9\u5f7c\u6b64\u7684\u4e86\u89e3\uff0c\u5e76\u4e3a\u4e4b\u540e\u7684\u5408\u4f5c\u6253\u4e0b\u57fa\u7840\u3002\\n\\n\u4e4b\u540e\uff0c\u6211\u4eec\u6311\u9009\u4e86\u6700\u611f\u5174\u8da3\u7684\u7f51\u7edc\u6d41\u8fd9\u4e00\u7c7b\u7b97\u6cd5\u95ee\u9898\u8fdb\u884c\u8be6\u7ec6\u7684\u8bb2\u89e3\u3002\u6211\u4eec\u4ece\u7f51\u7edc\u6d41\u56fe\u7684\u57fa\u672c\u6982\u5ff5\u5f00\u59cb\uff0c\u4f8b\u5982**\u6e90\uff0c\u6c47\u70b9**\uff0c**\u5269\u4f59\u5bb9\u91cf**\uff0c**\u6700\u5927\u6d41**\uff0c**\u6700\u5c0f\u5272** \u7b49\u7b49\u3002\u5176\u4e2d\u6700\u4e3a\u8da3\u5473\u7684\u662f**\u6700\u5c0f\u5272**\uff0c\u5176\u5b9a\u4e49\u4e3a\u5220\u53bb\u82e5\u5e72\u6761\u8fb9\u4f7f\u5f97\u67d0\u4e24\u70b9 $(u,v)$ \u4e0d\u4e92\u901a\uff0c\u8fd9\u82e5\u5e72\u6761\u8fb9\u8fb9\u6743\u548c\u7684\u6700\u5c0f\u503c\u3002\\n\\n\u63a5\u4e0b\u6765\u901a\u8fc7\u4e0d\u65ad\u4f18\u5316\u7b97\u6cd5\uff0c\u4f8b\u5982\u7075\u6d3b\u8fd0\u7528 `Edmond-Karp` \u52a8\u80fd\u7b97\u6cd5\uff08\u590d\u6742\u5ea6 $O(nm^2)$ \uff09\uff0c `Dinic` \u7b97\u6cd5\uff08\u590d\u6742\u5ea6 $O(n^2m)$ \uff09\u548c `ISAP` \u7b97\u6cd5\uff08\u590d\u6742\u5ea6 $O(n^2m)$ \uff0c\u4e0d\u9700 BFS \u591a\u6b21\uff09\u3002\u6b64\u5916\u8fd8\u8bb2\u89e3\u4e86\u4e00\u4e2a\u4f18\u7f8e\u7684\u5b9a\u7406\uff1a**\u6700\u5927\u6d41\u6700\u5c0f\u5272\u5b9a\u7406**\u3002\u8fd9\u4e00\u5b9a\u7406\u5728\u4e00\u4e9b\u56fe\u8bba\u95ee\u9898\u4e2d\u6709\u7740\u6709\u8da3\u7684\u5e94\u7528\uff1a\\n\\n\x3c!-- truncate --\x3e\\n\\n## \u4f8b\u9898\\n\\n\\n\\n### \\\\[\u6e05\u534e\u96c6\u8bad 2012] \u6700\u5c0f\u751f\u6210\u6811\\n\\n\u7ed9\u5b9a\u4e00\u4e2a\u8fb9\u5e26\u6b63\u6743\u7684\u8fde\u901a\u65e0\u5411\u56fe $G=(V, E)$\uff0c\u5176\u4e2d $N=|V|, M=|E|$\uff0c$N$ \u4e2a\u70b9\u4ece $1$ \u5230 $N$ \u4f9d\u6b21\u7f16\u53f7\uff0c\u7ed9\u5b9a\u4e09\u4e2a\u6b63\u6574\u6570 $u, v$ \u548c $L(u\\\\ne v)$\uff0c\u5047\u8bbe\u73b0\u5728\u52a0\u5165\u4e00\u6761\u8fb9\u6743\u4e3a $L$ \u7684\u8fb9 $(u, v)$\uff0c\u90a3\u4e48\u9700\u8981\u5220\u6389\u6700\u5c11\u591a\u5c11\u6761\u8fb9\uff0c\u624d\u80fd\u591f\u4f7f\u5f97\u8fd9\u6761\u8fb9\u65e2\u53ef\u80fd\u51fa\u73b0\u5728\u6700\u5c0f\u751f\u6210\u6811\u4e0a\uff0c\u4e5f\u53ef\u80fd\u51fa\u73b0\u5728\u6700\u5927\u751f\u6210\u6811\u4e0a\uff1f\\n\\n\u6570\u636e\u8303\u56f4\uff1a $N \\\\le 2 \\\\times 10^4, M \\\\le 2 \\\\times 10^5$\\n\\n\\n\\n\u5982\u679c\u4e00\u6761\u8fb9 $(u, v, L)$ \u4e00\u5b9a\u51fa\u73b0\u5728\u6700\u5c0f\u751f\u6210\u6811\u4e0a\uff0c\u90a3\u4e48\u9700\u8981\u6ee1\u8db3\uff1a\u5373\u4f7f\u628a\u8fb9\u6743 $< L$ \u5f97\u6240\u6709\u8fb9\u8fde\u4e0a\uff0c $u, v$ \u4e5f\u4e0d\u8fde\u901a\uff0c\u90a3\u4e48\u5c31\u5fc5\u987b\u9009\u62e9 $(u, v, L)$\\n\\n\u628a\u7ed9\u5b9a\u8fb9\u7684 $u, v$ \u5206\u522b\u4f5c\u4e3a\u6e90\u6c47\u70b9\uff0c\u539f\u56fe\u4e2d\u6240\u6709 $w < L$ \u7684\u8fb9 $(u, v, w)$ \u8fde\u5165\u7f51\u7edc\u6d41\uff0c\u6ce8\u610f\u662f**\u65e0\u5411\u56fe**\uff0c\u6240\u4ee5\u53cd\u8fb9\u521d\u59cb\u5bb9\u91cf\u4e3a $1$\\n\\n\u6700\u5927\u751f\u6210\u6811\u540c\u7406\uff0c\u91cd\u7f6e\u4e00\u904d\u6d41\u518d\u6c42\u4e00\u904d\uff0c\u7136\u540e\u548c\u4e0a\u4e00\u6b21\u7684\u7b54\u6848\u76f8\u52a0\u8f93\u51fa\u5373\u53ef\\n\\n```cpp\\n// #define ONLINE_JUDGE\\n#include \\nusing namespace std;\\nconst int Inf = 0x3f3f3f3f;\\ntypedef pair pii;\\ntypedef long long ll;\\ntypedef std::string str;\\ntypedef double db;\\n#define pbk push_back\\n#define mk_pr make_pair\\n#define elif else if\\n#define IL inline\\n#define IT(i, lim) for (int i = 1; i <= lim; ++i)\\n#define MST(x, k) memset(x, k, sizeof(x))\\n#define QMST(a, k, sz) memset(a, k, sizeof(int) * (sz + 2))\\n#ifndef ONLINE_JUDGE\\n#define DBG(x) std::cerr << #x << \\" = \\" << x << \\" \\";\\n#define ETR std::cerr << endl;\\n#define DBG_S(k) \\\\\\n std::cerr << #k << \\" = \\" << std::bitset<8>(k) << \\" (\\" << k << \\")\\" \\\\\\n << std::endl;\\n#else\\n#define DBG(x)\\n#define DBG_S(k)\\n#define ETR\\n#endif\\n\\ntemplate \\nvoid Mx(T &x, T y)\\n{\\n x = x > y ? x : y;\\n}\\n\\ntemplate \\nvoid Mn(T &x, T y) { x = x < y ? x : y; }\\n\\ninline void Read(const std::string &name = \\"a\\")\\n{\\n#ifndef ONLINE_JUDGE\\n freopen((name + \\".in\\").c_str(), \\"r\\", stdin);\\n // freopen((name + \\".out\\").c_str(), \\"w\\", stdout);\\n freopen((name + \\".log\\").c_str(), \\"w\\", stderr);\\n#endif\\n ios::sync_with_stdio(0);\\n cin.tie(0);\\n cout.tie(0);\\n}\\n\\nvoid Solve();\\n\\nsigned main()\\n{\\n Read();\\n Solve();\\n return 0;\\n}\\n\\nconst int M = 2e5 + 5;\\n// const int p = ;\\nstruct Ed\\n{\\n int v, n, w;\\n Ed(int v_ = 0, int n_ = 0, int w_ = 0) : v(v_), n(n_), w(w_){};\\n};\\n\\nEd e[M << 1];\\nint hd[M << 1], t_e = 1;\\ninline void Add(int u = 0, int v = 0, int w = 0)\\n{\\n e[++t_e] = Ed(v, hd[u], w);\\n hd[u] = t_e;\\n}\\n\\nIL void Link(int u, int v, int w = 1)\\n{\\n Add(u, v, w);\\n Add(v, u, w);\\n}\\n\\nint h[M];\\n\\nIL bool Bfs(int s, int t)\\n{\\n memset(h, 0, sizeof(h));\\n queue q;\\n q.push(s);\\n h[s] = 1;\\n while (!q.empty())\\n {\\n int u = q.front();\\n q.pop();\\n for (int i = hd[u]; i; i = e[i].n)\\n {\\n int v = e[i].v;\\n if (e[i].w && !h[v])\\n {\\n h[v] = h[u] + 1;\\n q.push(v);\\n }\\n }\\n }\\n return h[t];\\n}\\n\\nint Dfs(int u, int t, int i_f = Inf)\\n{\\n if (u == t)\\n return i_f;\\n int tof = 0;\\n for (int i = hd[u]; i && i_f; i = e[i].n)\\n {\\n int v = e[i].v;\\n if (e[i].w && h[v] == h[u] + 1)\\n {\\n int cof = Dfs(v, t, min(e[i].w, i_f));\\n if (!cof)\\n {\\n h[v] = -1;\\n continue;\\n }\\n e[i].w -= cof;\\n e[i ^ 1].w += cof;\\n i_f -= cof;\\n tof += cof;\\n }\\n }\\n return tof;\\n}\\n\\nIL int Dinic(int s, int t)\\n{\\n int mx_f = 0;\\n while (Bfs(s, t))\\n mx_f += Dfs(s, t);\\n return mx_f;\\n}\\n\\nint u_[M], v_[M], w_[M];\\nvoid Clear()\\n{\\n t_e = 1;\\n MST(hd, 0);\\n}\\n\\nvoid Solve()\\n{\\n int n, m;\\n cin >> n >> m;\\n IT(i, m)\\n cin >> u_[i] >> v_[i] >> w_[i];\\n int s, t, L;\\n cin >> s >> t >> L;\\n IT(i, m)\\n if (w_[i] < L)\\n Link(u_[i], v_[i]);\\n int ans = Dinic(s, t);\\n Clear();\\n IT(i, m)\\n if (w_[i] > L)\\n Link(u_[i], v_[i]);\\n cout << ans + Dinic(s, t);\\n}\\n```\\n\\n\\n\\n### \\\\[SHOI2010] \u6700\u5c0f\u751f\u6210\u6811\\n\\n\u7ed9\u5b9a\u4e00\u5f20\u65e0\u5411\u56fe\uff0c\u8981\u6c42\u8fb9 $L_{a, b}$ \u5fc5\u987b\u5728 MST \u4e2d\uff0c\u6bcf\u6b21\u64cd\u4f5c\u53ef\u4ee5\u9009\u5b9a\u4e00\u6761\u8fb9 $(u, v)$ \u518d\u5c06\u56fe\u4e2d\u6240\u6709\u9664\u8fd9\u6761\u8fb9\u5916\u7684\u8fb9\u7684\u6743\u503c\u51cf\u5c11 $1$ \uff0c\u6c42\u6700\u5c11\u64cd\u4f5c\u51e0\u6b21\\n\\n\u6570\u636e\u8303\u56f4\uff1a $n \\\\le 500, m \\\\le 800$\\n\\n\\n\\n\u7c7b\u4f3c\u6e05\u534e\u96c6\u8bad\u9898\u76ee\u7684\u505a\u6cd5\uff0c\u6bcf\u6b21\u90fd\u9009\u62e9\u4e00\u6761\u8fb9\u6743\u5c0f\u4e8e\u7b49\u4e8e $L_{a, b}$ \u7684\u8fb9 $(u, v, w)$ \u64cd\u4f5c\uff0c\u5219\u64cd\u4f5c $L_{a, b} - w + 1$ \u6b21\u540e\u8fd9\u6761\u8fb9\u5c31\u4e0d\u6bd4 $L_{a, b}$ \u4f18\u4e86\u3002\u53e6\u4e00\u79cd\u7406\u89e3\uff1a\u6bcf\u6b21\u9009\u62e9\u5176\u4ed6\u8fb9 $-1$ \u76f8\u5f53\u4e8e\u81ea\u5df1 $+1$\\n\\n\\n\\n### \\\\[ZJOI2009] \u72fc\u548c\u7f8a\u7684\u6545\u4e8b\\n\\n\u7ed9\u5b9a $n \\\\times m$ \u77e9\u9635\uff0c\u6bcf\u4e2a\u65b9\u683c\u53ef\u80fd\u662f\u72fc\u7f8a\u6216\u7a7a\u683c\u5b50\uff0c\u6c42\u72fc\u7f8a\u4e0d\u76f8\u90bb\u6700\u5c11\u9700\u8981\u4fee\u5efa\u7684\u7bf1\u7b06\u6570\\n\\n\u6570\u636e\u8303\u56f4\uff1a $n, m \\\\le 100$\\n\\n\\n\\n\u6e90\u70b9\u5411\u72fc\u8fde\u5bb9\u91cf\u4e3a $\\\\infin$ \u7684\u8fb9\uff0c\u7f8a\u5411\u6c47\u70b9\u8fde\u5bb9\u91cf\u4e3a $\\\\infin$ \u7684\u8fb9\uff0c\u6240\u6709\u70b9\u5411\u4e0a\u4e0b\u5de6\u53f3\u8fde\u5bb9\u91cf\u4e3a $1$ \u7684\u8fb9\uff0c\u6c42\u89e3\u6700\u5c0f\u5272\u5373\u662f\u7b54\u6848\\n\\n\\n\\n### \\\\[SCOI2007] \u8725\u8734\\n\\n$r \\\\times c$ \u7684\u77e9\u9635\u6bcf\u4e2a\u4f4d\u7f6e\u6709\u9ad8\u5ea6\u503c $h_{i, j}$ \u3002\u67d0\u4e9b\u4f4d\u7f6e\u6709\u8725\u8734\u3002\u8725\u8734\u6bcf\u8df3\u52a8\u4e00\u6b21\u51fa\u53d1\u4f4d\u7f6e\u9ad8\u5ea6 $-1$ \u3002\u7ed9\u5b9a\u6bcf\u6b21\u8725\u8734\u6700\u5927\u8df3\u52a8\u6b27\u51e0\u91cc\u5f97\u8ddd\u79bb $d$ \u6c42\u6709\u591a\u5c11\u8725\u8734\u4e0d\u80fd\u9003\u51fa\u77e9\u9635\\n\\n\u6570\u636e\u8303\u56f4\uff1a $r, c \\\\le 20, d \\\\le 4, h\\\\le 3$\\n\\n\\n\\n\u53ea\u9700\u62c6\u70b9\u77f3\u67f1\uff0c\u4e0d\u5fc5\u628a\u8725\u8734\u5355\u72ec\u62c6\u70b9\uff0c\u6e90\u70b9\u5411\u6709\u8725\u8734\u7684\u70b9 $u$ \u8fde\u5bb9\u91cf\u4e3a $1$ \u7684\u8fb9\uff08**\u4e0d\u662f** $\\\\infin$ \uff09\uff0c\u80fd\u591f\u8df3\u51fa\u53bb\u7684\u70b9 $u\'$ \u5411\u6c47\u70b9\u8fde\u5bb9\u91cf\u4e3a $\\\\infin$ \u7684\u8fb9\uff0c $u$ \u548c $u\'$ \u4e4b\u95f4\u8fde\u5bb9\u91cf\u4e3a $h_{i, j}$ \u7684\u8fb9\\n\\n\u7528\u5e73\u65b9\u907f\u514d\u5b9e\u6570\u8fd0\u7b97\\n\\n```cpp\\n#define IN(x) (x)\\n#define OUT(x) (x + r * c)\\n\\nint C21(int x, int y) { return (x - 1) * c + y; }\\n\\n#define POW2(x) (x * x)\\n\\nint Dis(int x_1, int y_1, int x_2, int y_2) {\\n return POW2((x_1 - x_2)) + POW2((y_1 - y_2));\\n}\\n\\nvoid Solve() {\\n Add();\\n cin >> r >> c >> d;\\n int s = 0, t = r * c * 2 + 1;\\n IT(i, r) {\\n str S;\\n cin >> S;\\n S = \' \' + S;\\n IT(j, c) {\\n int w = S[j] - \'0\';\\n int u = C21(i, j);\\n if (!w) continue;\\n Link(IN(u), OUT(u), w);\\n IT(k, r) {\\n IT(l, c) {\\n if (Dis(i, j, k, l) <= d * d) {\\n int v = C21(k, l);\\n Link(OUT(u), IN(v), Inf);\\n }\\n }\\n }\\n if (i - d < 1 || j - d < 1 || i + d > r || j + d > c) {\\n Link(OUT(u), t, Inf);\\n }\\n }\\n }\\n int t_lizard = 0;\\n IT(i, r) {\\n IT(j, c) {\\n char ch;\\n cin >> ch;\\n if (ch == \'L\') {\\n ++t_lizard;\\n int u = C21(i, j);\\n Link(s, IN(u), 1);\\n }\\n }\\n }\\n while (Bfs(s, t)) {\\n mx_f += Dfs(s, t, Inf);\\n }\\n cout << t_lizard - mx_f;\\n}\\n```\\n\\n\u6700\u540e\u6211\u4eec\u8fd8\u901a\u8fc7\u5b9e\u6218\uff0c\u8bb2\u8ff0\u4e86\u5982\u4f55\u4f7f\u7528\u7f51\u7edc\u6d41\u5efa\u6a21\u5e76\u89e3\u51b3\u4e00\u4e9b\u7ecf\u5178\u95ee\u9898\uff0c\u4f8b\u5982**\u4e8c\u5206\u56fe\u5339\u914d\u95ee\u9898\uff0c\u6700\u5c0f\u8def\u5f84\u8986\u76d6\u95ee\u9898\u548c\u6700\u5927\u6743\u95ed\u5408\u5b50\u56fe\u95ee\u9898**\u3002\u5176\u4e2d\u5c24\u4e3a\u6709\u8da3\u7684\u662f**\u6700\u5927\u6743\u95ed\u5408\u5b50\u56fe**\u95ee\u9898\\n\\n## \u5b9a\u4e49\\n\\n\u5982\u679c\u4e00\u4e2a\u70b9\u88ab\u9009\u62e9\u4e86\u5219\u540e\u7ee7\u5fc5\u987b\u88ab\u9009\u62e9\uff0c\u90a3\u4e48\u79f0\u8be5\u56fe\u662f**\u95ed\u5408**\u7684\\n\\n\u4e00\u4e2a\u6709\u5411\u56fe\uff0c\u9009\u62e9\u4e00\u4e2a\u70b9\u5c31\u5fc5\u987b\u9009\u62e9\u5176\u540e\u7ee7\u70b9\uff0c\u4e14\u9009\u62e9\u6bcf\u4e2a\u70b9\u6709\u4e00\u4e2a\u82b1\u8d39\u6216\u8005\u5956\u52b1\u3002\u6c42\u603b\u5956\u52b1\u6700\u5927\u503c\\n\\n## \u89e3\u6cd5\\n\\n1. \u6e90\u70b9\u5411\u6240\u6709\u6b63\u6743\u70b9\u8fde\u7ed3\u4e00\u6761\u5bb9\u91cf\u4e3a\u6743\u503c\u7684\u8fb9\\n2. \u4fdd\u7559\u539f\u56fe\u4e2d\u6240\u6709\u7684\u8fb9\uff0c\u5bb9\u91cf\u4e3a\u6b63\u65e0\u7a77\\n3. \u6240\u6709\u8d1f\u6743\u70b9\u5411\u6c47\u70b9\u8fde\u7ed3\u4e00\u6761\u5bb9\u91cf\u4e3a\u6743\u503c\u7edd\u5bf9\u503c\u7684\u8fb9\\n\\n\u7531\u4e8e\u539f\u56fe\u4e2d\u7684\u8fb9\u5168\u90e8\u662f\u6b63\u65e0\u7a77\uff0c**\u6700\u5c0f\u5272\u53ea\u4f1a\u5272\u6389\u6e90\u70b9\u548c\u6b63\u6743\u70b9\u4e4b\u95f4\u6216\u8d1f\u6743\u70b9\u548c\u6c47\u70b9\u4e4b\u95f4\u7684\u8fb9**\\n\\n\u5219\u539f\u56fe\u7684\u6700\u5927\u6743\u95ed\u5408\u5b50\u56fe\u7684\u70b9\u6743\u548c\u5373\u4e3a\u6240\u6709\u6b63\u6743\u70b9\u6743\u503c\u4e4b\u548c\u51cf\u53bb\u5efa\u51fa\u7684\u7f51\u7edc\u6d41\u56fe\u7684\u6700\u5c0f\u5272\\n\\n\\n\\n### \\\\[\u7f51\u7edc\u6d41 24 \u9898] \u592a\u7a7a\u98de\u884c\u8ba1\u5212\u95ee\u9898\\n\\n[P2762](https://www.luogu.com.cn/problem/P2762)\\n\\n\\n\\n- \u6a21\u7248\u9898\uff0c\u8981\u6c42\u8f93\u51fa\u9009\u62e9\u70b9\u7684\u65b9\u6848\\n- \u6700\u540e\u4e00\u6b21 BFS \u540e `dep` \u4e0d\u4e3a $0$ \u5373\u662f\u88ab\u9009\u62e9/\u6ca1\u6709\u5272\u6389\u7684\u70b9\uff0c\u8f93\u51fa\u8fd9\u4e9b\u70b9\u5373\u53ef\\n\\n\\n\\n### \\\\[ARC085C] MUL\\n\\n[ARC085C](https://www.luogu.com.cn/problem/AT3672)\\n\\n$n$ \u4e2a\u7403\u7f16\u53f7 $1$ \u5230 $n$ \uff0c\u6bcf\u4e2a\u7403\u6709\u4ef7\u503c $w_i$ \uff0c\u53ef\u4ee5\u8fdb\u884c\u4efb\u610f\u6b21\u64cd\u4f5c\uff0c\u5c06\u6240\u6709\u7f16\u53f7\u4e3a $x$ \u7684\u500d\u6570\u7684\u7403\u62ff\u8d70\uff0c\u6c42\u6700\u540e\u5269\u4e0b\u7684\u7403\u7684\u6700\u5927\u603b\u4ef7\u503c\\n\\n\u6570\u636e\u8303\u56f4\uff1a $n \\\\le 100, |w_i| \\\\le 10^9$\\n\\n\\n\\n\u6bcf\u4e2a\u7403\u5411\u7f16\u53f7\u4e3a\u5176\u500d\u6570\u7684\u7403\u8fde\u8fb9\uff0c\u8fd9\u6837\u8fb9\u6570\u662f $O(n \\\\log n)$ \u7ea7\u522b\u7684\\n\\n\u5c06\u6240\u6709 $w_i < 0$ \u7684\u7403\u7684\u82b1\u8d39\u7edd\u5bf9\u503c\u52a0\u548c\uff0c\u7136\u540e\u53cd\u8f6c\u5173\u7cfb\u8fde\u8fb9\uff0c\u8fd9\u6837\u6c42\u51fa\u6765\u7684\u662f\u80fd\u51cf\u5c11\u7684\u82b1\u8d39\u7684\u6700\u5927\u503c\uff0c\u6700\u540e\u51cf\u4e00\u4e0b\u5f97\u5230\u7b54\u6848\\n\\n```cpp\\nvoid Solve()\\n{\\n int n;\\n cin >> n;\\n int tot_cost = 0, tot_w = 0;\\n int s = 0, t = n + 1;\\n IT(i, n)\\n {\\n int w;\\n cin >> w;\\n tot_w += w;\\n if (w < 0)\\n {\\n tot_cost += -w;\\n Link(s, i, -w);\\n }\\n else\\n {\\n Link(i, t, w);\\n }\\n for (int j = 2; j * i <= n; ++j)\\n Link(i, j * i, Inf);\\n }\\n int mx_reduce_cost = tot_cost - Dinic(s, t);\\n cout << tot_w + mx_reduce_cost;\\n}\\n```\\n\\n\\n\\n### Petya and Graph\\n\\n[CF1082G](https://www.luogu.com.cn/problem/CF1082G)\\n\\n\u5b9a\u4e49\u56fe\u6743 = \u56fe\u4e2d\u8fb9\u6743\u603b\u548c \u2212 \u56fe\u4e2d\u70b9\u6743\u603b\u548c\uff08\u7a7a\u56fe\u7684\u56fe\u6743 = 0\uff09\uff0c\u6c42 $n$ \u4e2a\u70b9 $m$ \u6761\u8fb9\u7684\u65e0\u5411\u56fe\u6700\u5927\u6743\u5b50\u56fe\u3002\\n\\n\u6570\u636e\u8303\u56f4\uff1a $n, m \\\\le 10^3$\\n\\n\\n\\n\u4e00\u6761\u8fb9\u7684\u5956\u52b1\u80fd\u88ab\u83b7\u5f97\u5f53\u4e14\u4ec5\u5f53\u4e24\u8fb9\u7684\u70b9\u90fd\u88ab\u9009\u4e0a\\n\\n\u70b9\u8fde\u6c47\uff0c\u8fb9\u8fde\u6e90\\n\\n```cpp\\n#define GOOD(i) (i)\\n#define BUYER(i) (i + n)\\nvoid Solve()\\n{\\n int n, m;\\n cin >> n >> m;\\n int s = 0, t = n + m + 1;\\n IT(i, n)\\n {\\n int p;\\n cin >> p;\\n Link(GOOD(i), t, p);\\n }\\n int ans = 0;\\n IT(i, m)\\n {\\n int a, b, c;\\n cin >> a >> b >> c;\\n Link(s, BUYER(i), c);\\n Link(BUYER(i), GOOD(a), Inf);\\n Link(BUYER(i), GOOD(b), Inf);\\n ans += c;\\n }\\n cout << ans - Dinic(s, t);\\n}\\n```\\n\\n\\n\\n### \\\\[TJOI2010] \u7535\u5f71\u8ff7\\n\\n\u6269\u5c55\u6700\u5927\u6743\u95ed\u5408\u5b50\u56fe\u95ee\u9898\uff0c\u5bf9\u4e8e\u6bcf\u4e00\u4e2a\u9650\u5236\u53ef\u4ee5\u82b1\u8d39\u4e00\u5b9a\u4ee3\u4ef7 $w_i$ \u5220\u53bb\\n\\n\\n\\n\u6bcf\u4e2a\u539f\u56fe\u4e0a\u7684\u8fb9\u5bb9\u91cf\u4e0d\u518d\u662f $\\\\infty$ \u800c\u662f $w_i$ \uff0c\u5176\u4f59\u4e0d\u53d8\u6c42\u89e3\u5373\u53ef\\n\\n```cpp\\nvoid Solve()\\n{\\n int n, m;\\n cin >> n >> m;\\n int s = 0, t = n + 1;\\n int ans = 0;\\n IT(i, n)\\n {\\n int w;\\n cin >> w;\\n if (w > 0)\\n {\\n ans += w;\\n Link(s, i, w);\\n }\\n else\\n Link(i, t, -w);\\n }\\n IT(i, m)\\n {\\n int u, v, w;\\n cin >> u >> v >> w;\\n Link(u, v, w);\\n }\\n cout << ans - Dinic(s, t);\\n\\n```\\n\\n\u6211\u4eec\u6bcf\u4e2a\u4eba\u90fd\u7ed9\u51fa\u4e86\u975e\u5e38\u72ec\u7279\u7684\u60f3\u6cd5\u4e0e\u89c1\u89e3\uff0c\u7ed9\u4e88\u4e86\u4e00\u9053\u666e\u901a\u7684\u7b97\u6cd5\u9898\u4e0d\u4e00\u6837\u7684\u610f\u4e49\u3002OI \u90e8\u7684\u7b2c\u4e00\u6b21\u6d3b\u52a8\u5f88\u5145\u5b9e\u4e5f\u5f88\u5feb\u4e50\u3002"},{"id":"/2020/12/02/algorithm5","metadata":{"permalink":"/blog/2020/12/02/algorithm5","source":"@site/blog/2020-12-02-algorithm5.mdx","title":"Livestock Lineup","description":"\u8fd9\u662f C \u793e\u7b97\u6cd5\u56e2\u961f\u7684\u7b2c\u4e94\u6b21\u6d3b\u52a8\u3002\u7531\u4e8e 12 \u6708 USACO \u7ade\u8d5b\u5728\u5373\uff0c\u6211\u4eec\u5c55\u5f00\u4e86\u9488\u5bf9\u6027\u7684\u7ec3\u4e60\u3002\u7b2c\u4e00\u6b21\u6d3b\u52a8\u6211\u4eec\u4ece\u94dc\u7ec4\u5f00\u59cb\u7ec3\u4e60\uff0c\u7531\u4e8e\u6210\u5458\u4eec\u6c34\u5e73\u8f83\u9ad8\uff0c\u6211\u4eec\u6311\u9009\u4e86\u4e00\u9053\u6709\u4e00\u5b9a\u7f16\u7a0b\u6c34\u5e73\u8981\u6c42\u7684\u94dc\u7ec4\u9898\u76ee\u3002\u94dc\u7ec4\u9898\u76ee\u53ea\u8981\u6c42\u5bf9\u5faa\u73af\u7684\u638c\u63e1\uff0c\u4e00\u5b9a\u53ef\u4ee5\u901a\u8fc7\u679a\u4e3e\u5f97\u5230\u7ed3\u679c\uff0c\u56e0\u6b64\u5bf9\u7b97\u6cd5\u548c\u6570\u636e\u7ed3\u6784\u6ca1\u6709\u592a\u9ad8\u8981\u6c42\u3002","date":"2020-12-02T00:00:00.000Z","formattedDate":"2020\u5e7412\u67082\u65e5","tags":[{"label":"algorithm","permalink":"/blog/tags/algorithm"}],"readingTime":6.35,"hasTruncateMarker":true,"authors":[{"name":"Josh Cena","title":"\u4fe1\u606f\u5316\u793e 2022 \u5c4a\u793e\u957f","url":"https://github.com/Josh-Cena","imageURL":"https://github.com/Josh-Cena.png","key":"josh-cena"}],"frontMatter":{"title":"Livestock Lineup","authors":"josh-cena","tags":["algorithm"]},"unlisted":false,"prevItem":{"title":"OI \u90e8\u6d3b\u52a8-\u7f51\u7edc\u6d41\u95ee\u9898\u4ecb\u7ecd","permalink":"/blog/2021/11/24/network-flow"},"nextItem":{"title":"\u9636\u4e58\u5b57\u7b26\u4e32","permalink":"/blog/2020/11/04/algorithm3"}},"content":"\u8fd9\u662f C \u793e\u7b97\u6cd5\u56e2\u961f\u7684\u7b2c\u4e94\u6b21\u6d3b\u52a8\u3002\u7531\u4e8e 12 \u6708 USACO \u7ade\u8d5b\u5728\u5373\uff0c\u6211\u4eec\u5c55\u5f00\u4e86\u9488\u5bf9\u6027\u7684\u7ec3\u4e60\u3002\u7b2c\u4e00\u6b21\u6d3b\u52a8\u6211\u4eec\u4ece\u94dc\u7ec4\u5f00\u59cb\u7ec3\u4e60\uff0c\u7531\u4e8e\u6210\u5458\u4eec\u6c34\u5e73\u8f83\u9ad8\uff0c\u6211\u4eec\u6311\u9009\u4e86\u4e00\u9053\u6709\u4e00\u5b9a\u7f16\u7a0b\u6c34\u5e73\u8981\u6c42\u7684\u94dc\u7ec4\u9898\u76ee\u3002\u94dc\u7ec4\u9898\u76ee\u53ea\u8981\u6c42\u5bf9\u5faa\u73af\u7684\u638c\u63e1\uff0c\u4e00\u5b9a\u53ef\u4ee5\u901a\u8fc7\u679a\u4e3e\u5f97\u5230\u7ed3\u679c\uff0c\u56e0\u6b64\u5bf9\u7b97\u6cd5\u548c\u6570\u636e\u7ed3\u6784\u6ca1\u6709\u592a\u9ad8\u8981\u6c42\u3002\\n\\n\x3c!--truncate--\x3e\\n\\nexport const Question = ({ children, color }) => (\\n \\n {children}\\n \\n);\\n\\n## \u9898\u76ee\\n\\n\\n\\n**\u9898\u76ee\u6765\u6e90\uff1a[USACO 2019 December Bronze 3](http://www.usaco.org/index.php?page=viewproblem2&cpid=965)**\\n\\nEvery day, Farmer John milks his 8 dairy cows, named Bessie, Buttercup, Belinda, Beatrice, Bella, Blue, Betsy, and Sue.\\n\\nThe cows are rather picky, unfortunately, and require that Farmer John milks them in an order that respects $N$ constraints. Each constraint is of the form \\"$X$ must be milked beside $Y$\\", stipulating that cow $X$ must appear in the milking order either directly after cow $Y$ or directly before cow $Y$.\\n\\nPlease help Farmer John determine an ordering of his cows that satisfies all of these required constraints. It is guaranteed that an ordering is always possible. If several orderings work, then please output the one that is alphabetically first. That is, the first cow should have the alphabetically lowest name of all possible cows that could appear first in any valid ordering. Among all orderings starting with this same alphabetically-first cow, the second cow should be alphabetically lowest among all possible valid orderings, and so on.\\n\\n| \u6570\u636e\u89c4\u6a21 | \u5185\u5b58\u9650\u5236 | \u8fd0\u884c\u65f6\u95f4 |\\n| ------------- | -------- | -------- |\\n| $1\\\\le N\\\\le 7$ | 256MB | 2.0s |\\n\\n\\n\\n## \u9898\u89e3\\n\\n\u8fd9\u9053\u9898\u5728\u7406\u89e3\u4e86\u9898\u76ee\u7684\u9700\u6c42\u2014\u2014\u751f\u6210\u4e00\u4e2a\u7b26\u5408\u7ed9\u5b9a\u7ea6\u675f\u7684\u5b57\u5178\u5e8f\u6700\u5c0f\u7684\u6392\u5217\u540e\uff0c\u5e94\u8be5\u96be\u5ea6\u4e0d\u9ad8\u3002\u6211\u4eec\u53ef\u4ee5\u6309\u5b57\u5178\u5e8f\u751f\u6210\u5168\u90e8\u7684\u6392\u5217\uff08\u4e00\u5171\u6709$8!=40320$\u79cd\uff09\uff0c\u7136\u540e\u8f93\u51fa\u7b2c\u4e00\u4e2a\u6ee1\u8db3\u6240\u6709\u7ea6\u675f\u6761\u4ef6\u7684\u3002\u5982\u679c\u4e0d\u4f1a\u7528\u56de\u6eaf\u7b97\u6cd5\u751f\u6210\u5168\u6392\u5217\uff0c\u53ef\u80fd\u9700\u8981\u501f\u52a9 `algorithm` \u4e2d\u7684 `next_permutation` \u51fd\u6570\u3002\u8fd9\u4e5f\u662f\u5178\u578b\u7684\u94dc\u7ec4\u601d\u8def\uff1a\u56e0\u4e3a\u89c4\u6a21\u6781\u5c0f\uff0c\u53ef\u4ee5\u66b4\u529b\u679a\u4e3e\u4e4b\u540e*\u6311\u9009*\u89e3\u800c\u4e0d\u662f*\u6784\u9020*\u89e3\u3002\\n\\n\u5f53\u7136\uff0c\u8fd9\u79cd\u65b9\u6cd5\u5bf9\u4e8e\u6709\u4e00\u4e9b\u7ade\u8d5b\u7ecf\u9a8c\u7684\u53c2\u8d5b\u8005\u6765\u8bf4\u53cd\u5012\u4e0d\u5bb9\u6613\u60f3\u5230\u3002\u8fd9\u4e9b\u53c2\u8d5b\u8005\u4f1a\u8bd5\u56fe\u901a\u8fc7\u7ea6\u675f\u6761\u4ef6\u6765\u6784\u9020\u89e3\u3002\u8fd9\u9700\u8981\u4e00\u70b9\u70b9\u8d2a\u5fc3\u7684\u601d\u60f3\uff1a\u4e3a\u4e86\u8ba9\u6392\u5217\u5b57\u5178\u5e8f\u6700\u5c0f\uff0c\u5c31\u4e00\u5b9a\u8981\u8ba9\u6bcf\u4e00\u4f4d\u4e0a\u7684\u5976\u725b\u5b57\u5178\u5e8f\u5c3d\u53ef\u80fd\u5c0f\u3002\u6211\u4eec\u53ef\u4ee5\u628a\u4e00\u4e2a\u6392\u5217\u770b\u4f5c\u4e00\u4e2a\u201c\u7ea6\u675f\u94fe\u201d\uff0c\u5176\u4e2d\u6bcf\u4e00\u5934\u5976\u725b\u90fd\u56e0\u4e3a\u5b83\u76f8\u90bb\u4f4d\u7f6e\u5976\u725b\u7684\u7ea6\u675f\u800c\u53ea\u6709\u552f\u4e00\u7684\u53ef\u80fd\u3002\u6bcf\u5b8c\u6210\u4e00\u6761\u7ea6\u675f\u94fe\u7684\u8fde\u63a5\u540e\uff0c\u90fd\u53ef\u4ee5\u4ece\u5269\u4e0b\u672a\u88ab\u5b89\u6392\u8fdb\u961f\u7684\u5976\u725b\u4e2d\u6311\u9009\u7f16\u53f7\u6700\u5c0f\u7684\uff0c\u4f46\u4e0d\u80fd\u662f\u6709\u4e24\u4e2a\u672a\u6ee1\u8db3\u7684\u7ea6\u675f\u7684\uff08\u56e0\u4e3a\u4e00\u4e2a\u201c\u7ea6\u675f\u94fe\u201d\u4e2d\u5934\u548c\u5c3e\u7684\u5976\u725b\u90fd\u53ea\u80fd\u548c\u5b83\u76f8\u90bb\u7684\u4e00\u5934\u5976\u725b\u95f4\u6709\u7ea6\u675f\uff09\uff0c\u7136\u540e\u5728\u786e\u5b9a\u4e86\u94fe\u5934\u4e4b\u540e\uff0c\u5c31\u53ef\u4ee5\u975e\u5e38\u81ea\u7136\u5730\u5f97\u5230\u6574\u4e2a\u94fe\u6761\u3002\u91cd\u590d\u540c\u6837\u7684\u6784\u9020\u8fc7\u7a0b\uff0c\u76f4\u5230\u6240\u6709\u5976\u725b\u90fd\u88ab\u6dfb\u52a0\u5165\u961f\u5217\u3002\\n\\n## \u7a0b\u5e8f\\n\\n\u66b4\u529b\u6cd5\u7684\u4ee3\u7801\uff1a\\n\\n```cpp\\n/**\\n * Adopted from official solution at\\n * http://www.usaco.org/current/data/sol_lineup_bronze_dec19.html\\n */\\n#include \\n#include \\n#include \\n#include \\n\\nusing namespace std;\\n\\nstring names[8] = {\\"Beatrice\\", \\"Belinda\\", \\"Bella\\", \\"Bessie\\", \\"Betsy\\", \\"Blue\\", \\"Buttercup\\", \\"Sue\\"};\\n// beside_a \u548c beside_b \u4e2d\u5bf9\u5e94\u4e0b\u6807\u7684\u5976\u725b\u8868\u793a\u4e00\u7ec4\u7ea6\u675f\u5173\u7cfb\\nvector beside_a, beside_b;\\nint n;\\n\\nint getID(string name) {\\n for (int i = 0; i < 8; i++)\\n if (names[i] == name)\\n return i;\\n return -1;\\n}\\n\\nbool satisfies_constraints() {\\n for (int i = 0; i < n; i++)\\n if (abs(getID(beside_a[i]) - getID(beside_b[i])) != 1)\\n return false;\\n return true;\\n}\\n\\nint main() {\\n ifstream fin(\\"lineup.in\\");\\n ofstream fout(\\"lineup.out\\");\\n fin >> n;\\n string a, b;\\n for (int i = 0; i < n; i++) {\\n fin >> a >> b >> b >> b >> b >> b;\\n beside_a.push_back(a);\\n beside_b.push_back(b);\\n }\\n // \u904d\u5386\u6240\u6709\u76848\u5934\u5976\u725b\u7684\u6392\u5217\uff0c\u8f93\u51fa\u7b2c\u4e00\u4e2a\u6ee1\u8db3\u7ea6\u675f\u7684\u89e3\\n do {\\n if (satisfies_constraints()) {\\n for (int i = 0; i < 8; i++)\\n fout << names[i] << endl;\\n return 0;\\n }\\n } while (next_permutation(names.begin(), names.end()));\\n return 0;\\n}\\n```\\n\\n\u6784\u9020\u6cd5\u7684\u4ee3\u7801\uff1a\\n\\n```cpp\\n#include \\n#include \\n\\nusing namespace std;\\n\\nstruct cow {\\n int adj[2]; // \u9700\u8981\u548c\u8fd9\u5934\u5976\u725b\u76f8\u90bb\u7684\u5976\u725b\u7684ID\\n int adjcnt; // \u8fd9\u5934\u5976\u725b\u4e00\u5171\u6709\u51e0\u4e2a\u7ea6\u675f\u6761\u4ef6\uff1b\u51b3\u5b9a\u4e86\u80fd\u5426\u628a\u5b83\u653e\u5728\u7ea6\u675f\u94fe\u7684\u5f00\u5934\\n bool chosen; // \u662f\u5426\u5df2\u7ecf\u8fdb\u961f\\n} cows[8];\\nstring names[8] = {\\"Beatrice\\", \\"Belinda\\", \\"Bella\\", \\"Bessie\\", \\"Betsy\\", \\"Blue\\", \\"Buttercup\\", \\"Sue\\"};\\n\\nint getID(string name) {\\n for(int i = 0; i < 8; i++)\\n if(names[i] == name)\\n return i;\\n return -1;\\n}\\n\\nint main() {\\n ifstream fin(\\"lineup.in\\");\\n ofstream fout(\\"lineup.out\\");\\n int n;\\n fin >> n;\\n string a, b;\\n for (int i = 0; i < n; i++) {\\n fin >> a >> b >> b >> b >> b >> b;\\n cows[getID(a)].adj[cows[getID(a)].adjcnt++] = getID(b);\\n cows[getID(b)].adj[cows[getID(b)].adjcnt++] = getID(a);\\n }\\n int prev = -1;\\n // \u6bcf\u6b21\u5faa\u73af\u5411\u961f\u5217\u4e2d\u6dfb\u52a0\u4e00\u5934\u5976\u725b\uff1b\u5982\u679c\u4e0a\u4e00\u5934\u5976\u725b\u6ca1\u6709\u66f4\u591a\u7684\u7ea6\u675f\u6761\u4ef6\u4e86\uff0c\u5219\u53ef\u4ee5\u9009\u62e9\u4e00\u5934\u65b0\u7684\uff0c\u5426\u5219\u9009\u62e9\u9700\u8981\u548c\u4e0a\u4e00\u5934\u76f8\u90bb\u7684\u5976\u725b\\n for (int _ = 0; _ < 8; _++) {\\n if (_ == 0 || cows[prev].adjcnt == 0) {\\n for (int i = 0; i < 8; i++) {\\n if (!cows[i].chosen && cows[i].adjcnt < 2) {\\n cows[i].chosen = true;\\n fout << names[i] << endl;\\n prev = i;\\n break;\\n }\\n }\\n } else if (cows[prev].adjcnt == 1) {\\n int i = cows[prev].adj[0];\\n cows[i].chosen = true;\\n // \u8fd9\u91cc\u7684\u64cd\u4f5c\u662f\u5728\u628acows[i]\u6dfb\u52a0\u5165\u961f\u5217\u7684\u540c\u65f6\u201c\u5220\u9664\u201d\u6389\u5b83\u5df2\u7ecf\u6ee1\u8db3\u7684\u90a3\u6761\u7ea6\u675f\\n cows[i].adjcnt--;\\n if(cows[i].adj[0] == prev)\\n cows[i].adj[0] = cows[i].adj[1];\\n fout << names[i] << endl;\\n prev = i;\\n }\\n }\\n return 0;\\n}\\n```"},{"id":"/2020/11/04/algorithm3","metadata":{"permalink":"/blog/2020/11/04/algorithm3","source":"@site/blog/2020-11-04-algorithm3.mdx","title":"\u9636\u4e58\u5b57\u7b26\u4e32","description":"\u8fd9\u662f C \u793e\u7b97\u6cd5\u56e2\u961f\u7684\u7b2c\u4e09\u6b21\u6d3b\u52a8\u3002\u6211\u4eec\u7814\u7a76\u4e86\u4e00\u9053\u4e0a\u6d77\u7701\u9009\u7684\u9898\u76ee\uff0c\u4e3b\u8981\u8fd0\u7528\u4e86\u72b6\u6001\u538b\u7f29\u52a8\u6001\u89c4\u5212\u7b97\u6cd5\u3002\u5176\u4e2d\u6570\u5b66\u90e8\u5206\u6bd4\u8f83\u56f0\u96be\uff0c\u5c1a\u672a\u7ed9\u51fa\u4e25\u683c\u8bc1\u660e\u3002","date":"2020-11-04T00:00:00.000Z","formattedDate":"2020\u5e7411\u67084\u65e5","tags":[{"label":"algorithm","permalink":"/blog/tags/algorithm"}],"readingTime":4.015,"hasTruncateMarker":true,"authors":[{"name":"DoremySwee","title":"2022 \u5c4a\u7b97\u6cd5\u5c0f\u7ec4\u6210\u5458","url":"https://github.com/DoremySwee","imageURL":"https://github.com/DoremySwee.png","key":"doremyswee"}],"frontMatter":{"title":"\u9636\u4e58\u5b57\u7b26\u4e32","authors":"doremyswee","tags":["algorithm"]},"unlisted":false,"prevItem":{"title":"Livestock Lineup","permalink":"/blog/2020/12/02/algorithm5"},"nextItem":{"title":"\u6590\u6ce2\u90a3\u5951\u6570\u5217","permalink":"/blog/2020/10/10/algorithm1"}},"content":"\u8fd9\u662f C \u793e\u7b97\u6cd5\u56e2\u961f\u7684\u7b2c\u4e09\u6b21\u6d3b\u52a8\u3002\u6211\u4eec\u7814\u7a76\u4e86\u4e00\u9053\u4e0a\u6d77\u7701\u9009\u7684\u9898\u76ee\uff0c\u4e3b\u8981\u8fd0\u7528\u4e86\u72b6\u6001\u538b\u7f29\u52a8\u6001\u89c4\u5212\u7b97\u6cd5\u3002\u5176\u4e2d\u6570\u5b66\u90e8\u5206\u6bd4\u8f83\u56f0\u96be\uff0c\u5c1a\u672a\u7ed9\u51fa\u4e25\u683c\u8bc1\u660e\u3002\\n\\n\x3c!--truncate--\x3e\\n\\n## \u9898\u76ee\\n\\n\\n\\n**\u9898\u76ee\u6765\u6e90\uff1a[\u6d1b\u8c37 P3989](https://www.luogu.com.cn/problem/P3989)**\\n\\n\u7ed9\u5b9a\u4e00\u4e2a\u7531\u524d$n$\u4e2a\u5c0f\u5199\u5b57\u6bcd\u7ec4\u6210\u7684\u4e32$S$\u3002\u4e32$S$\u662f\u9636\u4e58\u5b57\u7b26\u4e32\u5f53\u4e14\u4ec5\u5f53\u524d$n$\u4e2a\u5c0f\u5199\u5b57\u6bcd\u7684\u5168\u6392\u5217\uff08\u5171$n!$\u79cd\uff09\u90fd\u4f5c\u4e3a\u7684\u5b50\u5e8f\u5217\uff08\u53ef\u4ee5\u4e0d\u8fde\u7eed\uff09\u51fa\u73b0\u3002\\n\\n\u7531\u8fd9\u4e2a\u5b9a\u4e49\u51fa\u53d1\uff0c\u53ef\u4ee5\u5f97\u5230\u4e00\u4e2a\u7b80\u5355\u7684\u679a\u4e3e\u6cd5\u53bb\u9a8c\u8bc1\uff0c\u4f46\u662f\u5b83\u5b9e\u5728\u592a\u6162\u4e86\u3002\u6240\u4ee5\u73b0\u5728\u8bf7\u4f60\u8bbe\u8ba1\u4e00\u4e2a\u7b97\u6cd5\uff0c\u5728 1 \u79d2\u5185\u5224\u65ad\u51fa\u7ed9\u5b9a\u7684\u4e32\u662f\u5426\u662f\u9636\u4e58\u5b57\u7b26\u4e32\u3002\\n\\n| \u6570\u636e\u89c4\u6a21 | \u5185\u5b58\u9650\u5236 | \u8fd0\u884c\u65f6\u95f4 |\\n| ------------------------- | -------- | -------- |\\n| $\\\\|S\\\\|\\\\le 450$, $n\\\\le 26$ | 125MB | 1.0s |\\n\\n\\n\\n## \u9898\u89e3\\n\\n\u66b4\u529b\u89e3\u6cd5\u81ea\u7136\u662f\u679a\u4e3e\u5168\u6392\u5217\u5e76\u68c0\u9a8c\uff0c30%\u7684\u5206\u6570\u5230\u624b\uff0c\u4e0d\u8fc7\u8fd9\u4e2a\u7a0b\u5e8f\u6ca1\u6709\u5176\u5b83\u592a\u5927\u610f\u4e49\uff0c\u751a\u81f3\u7531\u4e8e\u9636\u4e58\u7ea7\u7684\u65f6\u95f4\u590d\u6742\u5ea6\u96be\u4ee5\u5bf9\u62cd\u3002\u4e0d\u591a\u4f5c\u8ba8\u8bba\u3002\\n\\n\u8003\u8651 70%\u7684\u5206\u6570\u3002$n\\\\le 20$\uff0c\u53ef\u4ee5\u8003\u8651$\\\\mathcal{O}(2^n)$\u7684\u7b97\u6cd5\u3002\u65e2\u7136\u4e0d\u80fd\u8fdb\u884c\u5168\u6392\u5217\u7684\u679a\u4e3e\uff0c\u90a3\u4e48\u5b8c\u5168\u53ef\u4ee5\u8003\u8651\u72b6\u6001\u538b\u7f29\u52a8\u6001\u89c4\u5212\uff0c\u679a\u4e3e\u4e00\u4e2a\u5b57\u6bcd\u662f\u5426\u51fa\u73b0\u5728\u72b6\u6001\u4e2d\u3002\u7531\u4e8e\u8981\u6c42\u89e3\u7684\u662f\u6574\u4e2a\u5b57\u7b26\u4e32\u4e2d\u662f\u5426\u5b58\u5728\u524d$n$\u4e2a\u5b57\u6bcd\u7684\u5168\u6392\u5217\uff0c\u5219\u8003\u8651$f(x)$\u8868\u793a$x$\u5bf9\u5e94\u7684\u51e0\u4e2a\u5b57\u6bcd\u7684\u5168\u6392\u5217\u6700\u65e9\u51fa\u73b0\u5728\u5b57\u7b26\u4e32\u79cd\u7684\u4f55\u5904\u3002\u72b6\u6001\u8f6c\u79fb\u65b9\u7a0b\u4e3e\u4f8b\uff1a\\n\\n$$\\n \\\\begin{aligned}\\n f(a,b,c,e)=\\\\max(&\u4ecef(a,b,c)\u5f00\u59cb\u627e\u7b2c\u4e00\u4e2a\\\\texttt{\'e\'}, \\\\\\\\\\n &\u4ecef(a,b,e)\u5f00\u59cb\u627e\u7b2c\u4e00\u4e2a\\\\texttt{\'c\'}, \\\\\\\\\\n &\u4ecef(a,c,e)\u5f00\u59cb\u627e\u7b2c\u4e00\u4e2a\\\\texttt{\'b\'}, \\\\\\\\\\n &\u4ecef(b,c,e)\u5f00\u59cb\u627e\u7b2c\u4e00\u4e2a\\\\texttt{\'a\'})\\n \\\\end{aligned}\\n$$\\n\\n\u4f46\u662f\u5982\u679c\u5bf9\u4e8e\u6bcf\u4e00\u4e2a\u5bfb\u627e\u90fd\u662f\u901a\u8fc7\u5faa\u73af\u5bfb\u627e\u7684\u8bdd\uff0c\u65f6\u95f4\u4f1a\u6709\u70b9\u957f\uff0c\u53ea\u80fd\u62ff 50 \u5206\uff0c\u9700\u8981\u8fdb\u884c\u4e00\u5b9a\u7684\u9884\u5904\u7406\u3002\u53ef\u4ee5\u5728\u9884\u5904\u7406\u4e4b\u540e\u7528\u4e8c\u5206\u67e5\u627e\uff0c\u4f46\u662f\u65b9\u4fbf\u8d77\u89c1\u5efa\u8bae\u6dfb\u52a0\u4e00\u4e2a\u6570\u7ec4\u6807\u8bb0\u6bcf\u4e00\u4e2a\u4f4d\u7f6e\u4e0b\u4e00\u4e2a\u76ee\u6807\u5b57\u6bcd\u7684\u4f4d\u7f6e\uff0c\u6240\u9700\u65f6\u95f4\u4e0d\u957f\uff0c$450\\\\times 26$\u800c\u5df2\u3002\\n\\n\u6700\u540e\uff0c\u8003\u8651\u5269\u4e0b\u7684\u5206\u6570\u70b9\u3002\u53ef\u4ee5\u53d1\u73b0\uff0c\u5bf9\u4e8e\u8fc7\u5927\u7684$n$\uff0c\u53ef\u4ee5\u76f4\u63a5\u8f93\u51fa`\\"No\\"`\uff0c\u81f3\u4e8e\u8fd9\u4e2a\u503c\u5982\u4f55\u786e\u5b9a\uff1f\u6309\u7167$n=3\\\\implies S=\\\\mathtt{abcbab}$\uff0c$n=4\\\\implies S=\\\\mathtt{abcdcbabcdcba}$\u8fd9\u79cd\u6784\u9020\u65b9\u5f0f$S$\u7684\u957f\u5ea6\u4e3a$n^2-n+1$\uff0c$n\\\\le 21$\uff0c\u4e0d\u8fc7\u8bc1\u660e\u8fc7\u4e8e\u56f0\u96be\u3002\u4e3a\u4fdd\u9669\u8d77\u89c1\uff0c\u56e0\u4e3a$n=22$\u65f6\u7528\u65f6\u662f\u53ef\u4ee5\u63a5\u53d7\u7684\uff0c\u53d6$n\\\\ge 23$\u65f6\u76f4\u63a5\u8f93\u51fa`\\"No\\"`\u3002\\n\\n## \u7a0b\u5e8f\\n\\n```cpp\\n#include \\n\\nusing namespace std;\\n\\nint main(){\\n int t;\\n cin >> t;\\n while (t--) {\\n int n;\\n cin >> n;\\n string s;\\n cin >> s;\\n if (n >= 23) {\\n cout << \\"NO\\" << endl;\\n } else {\\n short NEXT[26][450];\\n for (int i = s.length() - 1; i >= 0; i--) {\\n if (i == s.length() - 1) {\\n for (int j = 0; j < 26; j++)\\n NEXT[j][i] = -1;\\n } else {\\n for (int j = 0; j < 26; j++)\\n NEXT[j][i] = NEXT[j][i + 1];\\n }\\n NEXT[s[i] - \'a\'][i] = i;\\n }\\n short *f = new short[1 << n];\\n for (int i = 0; i < (1 << n); i++) {\\n f[i] = 0;\\n for (int j = 0; (1 << j) <= i; j++) {\\n if (i & (1 << j)) {\\n if (NEXT[j][f[i - (1 << j)]] == -1) {\\n cout << \\"NO\\" << endl;\\n return 0;\\n }\\n f[i] = max(f[i], NEXT[j][f[i - (1 << j)]]);\\n }\\n }\\n }\\n cout << \\"YES\\" << endl;\\n }\\n }\\n}\\n```"},{"id":"/2020/10/10/algorithm1","metadata":{"permalink":"/blog/2020/10/10/algorithm1","source":"@site/blog/2020-10-10-algorithm1.mdx","title":"\u6590\u6ce2\u90a3\u5951\u6570\u5217","description":"\u8fd9\u662f C \u793e\u7b97\u6cd5\u56e2\u961f\u7684\u7b2c\u4e00\u6b21\u6d3b\u52a8\u3002\u6211\u4eec\u4ecb\u7ecd\u4e86\u6590\u6ce2\u90a3\u5951\u6570\u5217\u7684\u7b2c$n$\u9879\u6c42\u89e3\u65b9\u6cd5\uff0c\u4e3b\u8981\u8fd0\u7528\u4e86\u77e9\u9635\u5feb\u901f\u5e42\u7b97\u6cd5\u3002","date":"2020-10-10T00:00:00.000Z","formattedDate":"2020\u5e7410\u670810\u65e5","tags":[{"label":"algorithm","permalink":"/blog/tags/algorithm"}],"readingTime":2.8,"hasTruncateMarker":true,"authors":[{"name":"Josh Cena","title":"\u4fe1\u606f\u5316\u793e 2022 \u5c4a\u793e\u957f","url":"https://github.com/Josh-Cena","imageURL":"https://github.com/Josh-Cena.png","key":"josh-cena"}],"frontMatter":{"title":"\u6590\u6ce2\u90a3\u5951\u6570\u5217","authors":"josh-cena","tags":["algorithm"]},"unlisted":false,"prevItem":{"title":"\u9636\u4e58\u5b57\u7b26\u4e32","permalink":"/blog/2020/11/04/algorithm3"},"nextItem":{"title":"Git \u4f7f\u7528\u6307\u5357\uff1a\u7406\u89e3 Git \u5de5\u4f5c\u539f\u7406","permalink":"/blog/2020/09/23/git-usage"}},"content":"\u8fd9\u662f C \u793e\u7b97\u6cd5\u56e2\u961f\u7684\u7b2c\u4e00\u6b21\u6d3b\u52a8\u3002\u6211\u4eec\u4ecb\u7ecd\u4e86\u6590\u6ce2\u90a3\u5951\u6570\u5217\u7684\u7b2c$n$\u9879\u6c42\u89e3\u65b9\u6cd5\uff0c\u4e3b\u8981\u8fd0\u7528\u4e86\u77e9\u9635\u5feb\u901f\u5e42\u7b97\u6cd5\u3002\\n\\n\x3c!--truncate--\x3e\\n\\n## \u9898\u76ee\\n\\n\\n\\n\u6590\u6ce2\u90a3\u5951\u6570\u5217\uff1a\\n\\n$$\\nF_{n}=\\n\\\\begin{cases}\\n 0,&n=0\\\\\\\\\\n 1,&n=1\\\\\\\\\\n F_{n-2}+F_{n-1},&n>1\\n\\\\end{cases}\\n$$\\n\\n\u7ed9\u5b9a$n$\uff0c\u6c42$F_{n}\\\\text{ mod }10^9+7$\u3002\\n\\n| \u6570\u636e\u89c4\u6a21 | \u5185\u5b58\u9650\u5236 | \u8fd0\u884c\u65f6\u95f4 |\\n| ------------------- | -------- | -------- |\\n| $0\\\\le n\\\\le 10^{19}$ | 64MB | 1.0s |\\n\\n\\n\\n## \u9898\u89e3\\n\\n$10^{19}$\u663e\u7136\u706d\u6389\u4e86\u6240\u6709\u7528\u5faa\u73af\u89e3\u51b3\u7684\u60f3\u6cd5\u3002\u6709\u6ca1\u6709\u6bd4\u7b80\u5355\u7684$\\\\mathcal{O}(n)$\u66f4\u597d\u4e00\u70b9\u7684\u65b9\u6cd5\uff1f\u7528**\u77e9\u9635\u5feb\u901f\u5e42**\uff0c\u53ef\u4ee5\u8fbe\u5230$\\\\mathcal{O}(\\\\log n)$\u3002\u89c2\u5bdf\u5230\uff1a\\n\\n$$\\\\begin{pmatrix}F_{n+1}\\\\\\\\F_{n+2}\\\\end{pmatrix}=\\\\begin{pmatrix}F_{n+1}\\\\\\\\F_{n}+F_{n+1}\\\\end{pmatrix}=\\\\begin{pmatrix}0&1\\\\\\\\1&1\\\\end{pmatrix}\\\\begin{pmatrix}F_{n}\\\\\\\\F_{n+1}\\\\end{pmatrix}$$\\n\\n\u8fd9\u4e00\u6b65\u5bf9\u4e8e\u6240\u6709\u9012\u63a8\u6570\u5217\u90fd\u662f\u9002\u7528\u7684\uff0c\u56e0\u6b64\u5728\u6709\u7ecf\u9a8c\u4e4b\u540e\u5e94\u8be5\u975e\u5e38\u5bb9\u6613\u5f97\u5230\u3002\u4e00\u822c\u5730\uff0c\u5bf9\u4e8e$F_{n+2}=aF_{n}+bF_{n+1}$\uff0c\u6709\\n\\n$$\\\\begin{pmatrix}F_{n+1}\\\\\\\\F_{n+2}\\\\end{pmatrix}=\\\\begin{pmatrix}F_{n+1}\\\\\\\\aF_{n}+bF_{n+1}\\\\end{pmatrix}=\\\\begin{pmatrix}0&1\\\\\\\\a&b\\\\end{pmatrix}\\\\begin{pmatrix}F_{n}\\\\\\\\F_{n+1}\\\\end{pmatrix}$$\\n\\n\u4ece\u9012\u63a8\u5f0f\u4e2d\u6709\\n\\n$$\\\\begin{pmatrix}F_{n+m}\\\\\\\\F_{n+m+1}\\\\end{pmatrix}=\\\\begin{pmatrix}0&1\\\\\\\\1&1\\\\end{pmatrix}^m\\\\begin{pmatrix}F_{n}\\\\\\\\F_{n+1}\\\\end{pmatrix}$$\\n\\n\u53d6$n=0$\uff0c\u5f97\u5230\\n\\n$$\\\\begin{pmatrix}F_{m}\\\\\\\\F_{m+1}\\\\end{pmatrix}=\\\\begin{pmatrix}0&1\\\\\\\\1&1\\\\end{pmatrix}^m\\\\begin{pmatrix}F_0\\\\\\\\F_1\\\\end{pmatrix}$$\\n\\n\u56e0\u6b64\u628a\u95ee\u9898\u8f6c\u5316\u6210\u4e86\u5982\u4f55\u6c42\u77e9\u9635$m$\u6b21\u65b9\u7684\u95ee\u9898\u3002\u5982\u679c\u8bbe$m=2^0a_0+2^1a_1+2^2a_2+\\\\dots$\uff08\u4e5f\u5c31\u662f\u628a$m$\u7528\u4e8c\u8fdb\u5236\u8868\u793a\uff09\uff0c\u90a3\u4e48\u6709\\n\\n$$\\\\begin{pmatrix}0&1\\\\\\\\1&1\\\\end{pmatrix}^m=\\\\left(\\\\begin{pmatrix}0&1\\\\\\\\1&1\\\\end{pmatrix}^{1}\\\\right)^{a_0}\\\\times \\\\left(\\\\begin{pmatrix}0&1\\\\\\\\1&1\\\\end{pmatrix}^{2}\\\\right)^{a_1}\\\\times \\\\left(\\\\begin{pmatrix}0&1\\\\\\\\1&1\\\\end{pmatrix}^{4}\\\\right)^{a_2}\\\\dots$$\\n\\n\u800c\u8fd9\u4e9b\u77e9\u9635\u7684$2^k$\u6b21\u65b9\uff0c\u5b8c\u5168\u53ef\u4ee5\u9884\u5904\u7406\u3002\u5f53$m$\u7684\u6570\u91cf\u7ea7\u4e3a$10^{19}$\u65f6\uff0c$k<\\\\log_2 10^{19}<64$\uff0c\u6700\u591a\u53ea\u9700\u8981\u5b58\u50a8 63 \u4e2a\u77e9\u9635\u3002\u5e76\u4e14\\n\\n$$\\\\begin{pmatrix}0&1\\\\\\\\1&1\\\\end{pmatrix}^{2^k}=\\\\begin{pmatrix}0&1\\\\\\\\1&1\\\\end{pmatrix}^{2^{k-1}}\\\\times \\\\begin{pmatrix}0&1\\\\\\\\1&1\\\\end{pmatrix}^{2^{k-1}}$$\\n\\n\u8fd9\u4e9b\u4e58\u65b9\u53ef\u4ee5\u5728$\\\\mathcal{O}(\\\\log m)$\u65f6\u95f4\u5185\u5f97\u5230\u3002\u8fd9\u4fbf\u662f\u5feb\u901f\u5e42\u7684\u601d\u60f3\uff1a\u8ba1\u7b97\u6240\u6709\u7684$2^k$\u6b21\u65b9\uff0c\u7136\u540e\u628a\u5176\u4e2d\u9700\u8981\u7684\u90a3\u4e9b\u7ec4\u5408\u8d77\u6765\u5373\u53ef\u3002\\n\\n## \u7a0b\u5e8f\\n\\n\u4e0b\u9762\u662f C++ \u4ee3\u7801\uff0c\u5176\u4e2d\u6700\u7e41\u7410\u7684\u90e8\u5206\u662f\u5b9e\u73b0\u77e9\u9635\u4e58\u6cd5\uff1a\\n\\n```cpp\\n#include \\n#include \\n\\nusing namespace std;\\n\\nstruct mat {\\n unsigned long long a[4];\\n mat operator *(mat o) {\\n mat t;\\n t.a[0] = (this->a[0] * o.a[0] + this->a[1] * o.a[2]) % 1000000007;\\n t.a[1] = (this->a[0] * o.a[1] + this->a[1] * o.a[3]) % 1000000007;\\n t.a[2] = (this->a[2] * o.a[0] + this->a[3] * o.a[2]) % 1000000007;\\n t.a[3] = (this->a[2] * o.a[1] + this->a[3] * o.a[3]) % 1000000007;\\n return t;\\n }\\n};\\n\\n// \u9884\u5904\u7406\u7684\u77e9\u9635 2^k \u6b21\u5e42\\nmat mat_pow[64];\\n\\nint fib(unsigned long long k) {\\n // \u4e34\u65f6\u77e9\u9635\uff0c\u6bcf\u6b21\u5728\u6b64\u4e0a\u9762\u4e58\u4ee5 mat_pow \u4e2d\u7684\u67d0\u9879\\n mat tmp;\\n tmp.a[0] = 1;\\n tmp.a[1] = 0;\\n tmp.a[2] = 0;\\n tmp.a[3] = 1;\\n for (int i = 0; i < 64; i++) {\\n // \u5982\u679c a_i \u4e3a 1\\n if (k & (1ull << i)) {\\n tmp = tmp * mat_pow[i];\\n }\\n }\\n return tmp.a[1];\\n}\\n\\nint main() {\\n mat_pow[0].a[0] = 0;\\n mat_pow[0].a[1] = 1;\\n mat_pow[0].a[2] = 1;\\n mat_pow[0].a[3] = 1;\\n for (int i = 1; i < 64; i++) {\\n mat_pow[i] = mat_pow[i-1] * mat_pow[i-1];\\n }\\n unsigned long long n;\\n cin >> n;\\n cout << fib(n) << endl;\\n return 0;\\n}\\n```\\n\\n\u8865\u5145\u4e00\u4e0b\u77e9\u9635\u7684\u4e58\u6cd5\u516c\u5f0f\uff1a\\n\\n$$\\\\begin{pmatrix}a_0&a_1\\\\\\\\a_2&a_3\\\\end{pmatrix}\\\\times\\\\begin{pmatrix}b_0&b_1\\\\\\\\b_2&b_3\\\\end{pmatrix}=\\\\begin{pmatrix}a_0b_0+a_1b_2&a_0b_1+a_1b_3\\\\\\\\a_2b_0+a_3b_2&a_2b_1+a_3b_3\\\\end{pmatrix}$$\\n\\n$$\\\\begin{pmatrix}a_0&a_1\\\\\\\\a_2&a_3\\\\end{pmatrix}\\\\times\\\\begin{pmatrix}b_0\\\\\\\\b_1\\\\end{pmatrix}=\\\\begin{pmatrix}a_0b_0+a_1b_1\\\\\\\\a_2b_0+a_3b_1\\\\end{pmatrix}$$"},{"id":"/2020/09/23/git-usage","metadata":{"permalink":"/blog/2020/09/23/git-usage","source":"@site/blog/2020-09-23-git-usage.md","title":"Git \u4f7f\u7528\u6307\u5357\uff1a\u7406\u89e3 Git \u5de5\u4f5c\u539f\u7406","description":"\u8fd9\u7bc7\u6587\u7ae0\u662f\u4eceC \u793e\u7684\u65b0\u6210\u5458\u7ec3\u624b repo \u7684 README.md \u7684\u7b2c\u4e00\u8282\u8f6c\u79fb\u8fc7\u6765\u7684\uff0c\u6dfb\u52a0\u4e86\u4e00\u4e9b\u5185\u5bb9\uff0c\u5e76\u505a\u4e86\u76f8\u5e94\u7684\u7ffb\u8bd1\u3002\uff08\u539f\u6587\u7528\u82f1\u6587\u7684\u539f\u56e0\uff0c\u5e94\u8be5\u662f sy \u5927\u4f6c\u548c\u6211\u90fd\u66f4\u4e60\u60ef\u7528\u82f1\u8bed\u5199\u6280\u672f\u76f8\u5173\u7684\u5185\u5bb9\u5427\u2026\u2026\uff09","date":"2020-09-23T00:00:00.000Z","formattedDate":"2020\u5e749\u670823\u65e5","tags":[{"label":"git","permalink":"/blog/tags/git"},{"label":"guide","permalink":"/blog/tags/guide"}],"readingTime":11.615,"hasTruncateMarker":true,"authors":[{"name":"Josh Cena","title":"\u4fe1\u606f\u5316\u793e 2022 \u5c4a\u793e\u957f","url":"https://github.com/Josh-Cena","imageURL":"https://github.com/Josh-Cena.png","key":"josh-cena"}],"frontMatter":{"title":"Git \u4f7f\u7528\u6307\u5357\uff1a\u7406\u89e3 Git \u5de5\u4f5c\u539f\u7406","authors":"josh-cena","tags":["git","guide"]},"unlisted":false,"prevItem":{"title":"\u6590\u6ce2\u90a3\u5951\u6570\u5217","permalink":"/blog/2020/10/10/algorithm1"},"nextItem":{"title":"Welcome","permalink":"/blog/2020/09/02/welcome"}},"content":"> \u8fd9\u7bc7\u6587\u7ae0\u662f\u4ece[C \u793e\u7684\u65b0\u6210\u5458\u7ec3\u624b repo](https://github.com/Computerization/New-member-practice-commit) \u7684 README.md \u7684\u7b2c\u4e00\u8282\u8f6c\u79fb\u8fc7\u6765\u7684\uff0c\u6dfb\u52a0\u4e86\u4e00\u4e9b\u5185\u5bb9\uff0c\u5e76\u505a\u4e86\u76f8\u5e94\u7684\u7ffb\u8bd1\u3002\uff08\u539f\u6587\u7528\u82f1\u6587\u7684\u539f\u56e0\uff0c\u5e94\u8be5\u662f sy \u5927\u4f6c\u548c\u6211\u90fd\u66f4\u4e60\u60ef\u7528\u82f1\u8bed\u5199\u6280\u672f\u76f8\u5173\u7684\u5185\u5bb9\u5427\u2026\u2026\uff09\\n\\n\u6dfb\u52a0\u6587\u4ef6\u65f6\uff0c\u4f60\u65e2\u53ef\u4ee5\u7528\u5e26\u56fe\u5f62\u7528\u6237\u754c\u9762\uff08GUI\uff09\u7684 GitHub Desktop\uff0c\u4e5f\u53ef\u4ee5\u7528\u547d\u4ee4\u884c\u3002\u4f60\u53ef\u4ee5\u4ece GUI \u5165\u624b\uff0c\u4f46\u4f60\u4f1a\u6709\u4e00\u5929\u610f\u8bc6\u5230\u547d\u4ee4\u884c\u529f\u80fd\u7684\u5f3a\u5927\uff0c\u5f00\u59cb\u7528\u5b83\u7684\u3002\u53e6\u5916\uff0cVisual Studio Code \u7684\u7528\u6237\u4eec\u4e5f\u53ef\u4ee5\u8bd5\u8bd5\u5176\u81ea\u5e26\u7684\u6e90\u4ee3\u7801\u7ba1\u7406\u5de5\u5177\u3002\\n\\n\u6211\u4eec\u89c9\u5f97\u6709\u5fc5\u8981\u7ed9\u4f60\u89e3\u91ca\u4f60\u6bcf\u4e00\u6b65\u7a76\u7adf\u5728\u505a\u4ec0\u4e48\uff0c\u800c\u4e0d\u662f\u8ba9\u4f60\u673a\u68b0\u5730\u91cd\u590d\u6211\u4eec\u5199\u597d\u7684\u6559\u7a0b\u3002\u8fd9\u5bf9\u4f60\u5c24\u5176\u6709\u5e2e\u52a9\uff0c\u56e0\u4e3a\u6559\u7a0b\u901a\u5e38\u90fd\u628a\u4e8b\u60c5\u60f3\u5f97\u5f88\u5b8c\u7f8e\uff0c\u4f46\u73b0\u5b9e\u5219\u5145\u6ee1\u4e86\u5404\u79cd\u610f\u5916\u548c\u53d8\u6570\u3002\u9605\u8bfb\u65f6\uff0c\u6211\u4eec\u5e76\u4e0d\u8981\u6c42\u4f60\u4e8b\u5148\u61c2\u5f97\u4efb\u4f55 Git \u64cd\u4f5c\u3002\\n\\n\x3c!--truncate--\x3e\\n\\n\u4f60\u53ef\u4ee5\u628a Git \u7406\u89e3\u6210\u4e00\u4e2a\u7248\u672c\u63a7\u5236\u7cfb\u7edf\u3002\u5b83\u80fd\u8bb0\u5f55\u6bcf\u4e2a\u6587\u4ef6\u7684\u521b\u5efa\u3001\u66f4\u6539\u3001\u548c\u5220\u9664\uff0c\u800c\u4ed3\u5e93\u7ba1\u7406\u8005\u53ef\u4ee5\u5728\u5404\u4e2a\u7248\u672c\uff08commit[^commit]\uff09\u95f4\u81ea\u7531\u5207\u6362\uff0c\u5c31\u597d\u50cf\u6e38\u620f\u4e2d\u7684\u82e5\u5e72\u5b58\u6863\u4e00\u6837\u3002\\n\\n[^commit]: \u4e2d\u6587\u5927\u81f4\u610f\u601d\u662f\u201c\u63d0\u4ea4\u201d\u2014\u2014\u8fd9\u4e5f\u662f\u6211\u4e0d\u559c\u6b22\u7528\u4e2d\u6587\u5199\u4f5c\u7684\u539f\u56e0\uff0c\u4e2d\u82f1\u6df7\u6742\u603b\u662f\u96be\u4ee5\u907f\u514d\u3002\\n\\n## \u57fa\u7840\u64cd\u4f5c\uff1aclone, branch, commit, push, pull request\\n\\n\u5047\u8bbe\u73b0\u5728 GitHub \u4e0a\u6709\u8fd9\u6837\u4e00\u4e2a\u53eb `Hello` \u7684\u4ed3\u5e93\uff0c\u662f\u7531\u5c0f\u4e3d\u521b\u5efa\u7684\uff0c\u88c5\u7740\u53ef\u80fd\u662f\u5386\u53f2\u4e0a*\u6700*\u8457\u540d\u7684\u4e00\u6bb5\u4ee3\u7801\u3002\u5b83\u7684\u76ee\u5f55\u957f\u8fd9\u4e2a\u6837\u5b50\uff1a\\n\\n```bash\\n.\\n\u251c\u2500\u2500 Hello.cpp\\n\u2502\\n\u251c\u2500\u2500 Contributors.txt\\n\u2502\\n\u2514\u2500\u2500 README.md\\n```\\n\\n```cpp\\n// Hello.cpp\\n#include \\nusing namespace std;\\nint main() {\\n cout << \\"Hello world!\\" << endl;\\n}\\n```\\n\\n```bash\\n// Contributors.txt\\nXiaoLi\\n```\\n\\n```markdown\\n// README.md\\n\\n# Hello world\\n\\nA piece of C++ code that prints `Hello world!`\\n```\\n\\n\u4f60\u53ef\u4ee5\u628a\u6bcf\u4e2a commit \u770b\u4f5c\u662f\u6574\u4e2a\u4ed3\u5e93\u7684\u4e00\u4e2a\u5feb\u7167\uff0c\u4e00\u4e2a\u62f7\u8d1d\u3002\u5b9e\u9645\u4e0a\u5b83\u8981\u6bd4\u4e00\u4efd\u5b8c\u6574\u7684\u62f7\u8d1d\u8f7b\u91cf\u5f97\u591a\uff0c\u4f46\u539f\u7406\u4e0a\u5b83\u4fdd\u5b58\u4e86\u90a3\u4e00\u65f6\u523b\u4ed3\u5e93\u7684\u5168\u90e8\u4fe1\u606f\u3002\u6bd4\u5982\u4e0a\u9762\u7684\u7248\u672c\u5c31\u53ef\u4ee5\u770b\u4f5c `C0` commit\u3002\uff08\u6bcf\u4e2a commit \u90fd\u6709\u4e00\u4e2a\u72ec\u6709\u7684\u54c8\u5e0c\u503c\uff0c\u4f46\u957f\u5230\u4eba\u7c7b\u65e0\u6cd5\u9605\u8bfb\u3002\u56e0\u6b64\u7528 `C0` \u6765\u6307\u4ee3\u5c31\u597d\u4e86\u3002\uff09\u6211\u4eec\u4e5f\u7ba1\u8fd9\u4e2a commit \u53eb `master` \u5206\u652f\u3002_\u4e00\u4e2a\u5206\u652f\u5373\u4e00\u7cfb\u5217\u6709\u7ebf\u6027\u53d1\u5c55\u5173\u7cfb\u7684 commit\uff0c\u800c `master` \u5206\u652f\u5219\u4f5c\u4e3a\u4e3b\u5206\u652f\u3002\u5b9e\u9645\u4e0a\uff0c\u4e00\u4e2a\u5206\u652f\u5c31\u662f\u4e00\u4e2a\u6307\u5411\u67d0\u4e2a commit \u7684\u6307\u9488\u3002_ \u8be5\u9879\u76ee\u76ee\u524d\u7684\u6811\u72b6\u7ed3\u6784\u5982\u4e0b\uff1a\\n\\n\\"Git\\n\\n\u8bed\u8a00\u5b66\u5bb6\u5c0f\u660e\u53d1\u73b0\u4e86\u8fd9\u4e2a\u4ed3\u5e93\u3002\u4ed6\u5bf9\u6b64\u5f88\u611f\u5174\u8da3\uff0c\u4f46\u4ed6\u5bf9\u5c0f\u4e3d\u8fd8\u5728\u7528\u53e4\u65e9\u7684 `Hello world!` \u975e\u5e38\u4e0d\u6ee1\uff0c\u56e0\u6b64\u51b3\u5b9a\u505a\u70b9\u8d21\u732e\u3002\u4e3a\u6b64\uff0c\u4ed6\u9700\u8981\u5148\u628a\u8fd9\u4e2a\u6587\u4ef6\u5939\uff08\u4e5f\u5c31\u662f\u4ed3\u5e93\uff09\u4e0b\u8f7d\u4e0b\u6765\u3002\u8fd9\u57fa\u672c\u5c31\u662f **_\u514b\u9686\u4ed3\u5e93 (clone the repo)_** \u505a\u7684\u4e8b\u60c5\u3002\\n\\n\u5c0f\u660e\u5728\u81ea\u5df1\u7684\u673a\u5668\u4e0a\u6709\u4e86\u4e00\u4efd\u5b8c\u6574\u7684\u62f7\u8d1d\u540e\uff0c\u5c31\u53ef\u4ee5\u50cf\u672c\u5730\u9879\u76ee\u4e00\u6837\u4f5c\u7f16\u8f91\u4e86\u3002\u4ed6\u5bf9\u4e09\u4e2a\u6587\u4ef6\u90fd\u4f5c\u4e86\u66f4\u65b0\uff1a\\n\\n```cpp\\n// Hello.cpp\\n#include \\nusing namespace std;\\nint main() {\\n cout << \\"Bonjour le monde!\\" << endl;\\n}\\n```\\n\\n```bash\\n// Contributors.txt\\nXiaoLi\\nXiaoMing\\n```\\n\\n```markdown\\n// README.md\\n\\n# Hello world\\n\\nA piece of C++ code that prints `Bonjour le monde!`\\n```\\n\\n\u73b0\u5728\u4ed6\u7684\u76f4\u89c9\u544a\u8bc9\u4ed6\uff0c\u4ed6\u9700\u8981\u628a\u8fd9\u4e9b\u4ee3\u7801\u53d1\u56de GitHub\u3002\u8981\u505a\u5230\u8fd9\u4e00\u70b9\uff0c\u4ed6\u53ef\u4ee5\u76f4\u63a5\u63d0\u4ea4\u4e00\u4e2a commit\u3002\u4f46\u8fd9\u91cc\u6709\u4e2a\u4e25\u5cfb\u7684\u95ee\u9898\uff1a_\u5c0f\u4e3d\u5bf9\u5c0f\u660e\u7684\u884c\u4e3a\u5b8c\u5168\u6ca1\u6709\u63a7\u5236\u3002_ \u4e8b\u5b9e\u4e0a\uff0c\u5927\u591a\u6570\u516c\u5f00\u4ed3\u5e93\uff08\u5305\u62ec C \u793e\u7684\uff09\u90fd\u9650\u5236\u4e86\u5176\u4ed6\u4eba\u76f4\u63a5\u5411 `master` \u63d0\u4ea4 commit\uff0c\u56e0\u4e3a\u6ca1\u6709\u54ea\u4e2a\u73af\u8282\u53ef\u4ee5\u505a\u5b89\u5168\u9a8c\u8bc1\u3002\u4e00\u65e6\u6210\u529f commit\uff0c\u5c0f\u4e3d\u5c31\u4f1a\u60ca\u8bb6\u5730\u53d1\u73b0\u5979 GitHub \u4e0a\u7684\u4ee3\u7801\u53d8\u6210\u4e86\u6cd5\u8bed\u3002\u5e76\u4e14\u65e0\u8bba\u5982\u4f55\uff0c\u8fd9\u4e5f\u662f\u975e\u5e38\u6076\u52a3\u7684\u884c\u4e3a\uff1a**\u5728\u4efb\u4f55\u5408\u4f5c\u9879\u76ee\u4e2d\uff0c\u90fd\u6c38\u8fdc\u4e0d\u8981\u76f4\u63a5\u5411 master \u5206\u652f\u63d0\u4ea4 commit\u3002**~~\uff08\u9664\u975e\u4f60\u8fd8\u6709\u4e00\u5468\u5c31\u8981\u8f9e\u804c\u4e86\uff09~~ \u5411 `master` \u63d0\u4ea4 commit \u8fd8\u6709\u4e00\u4e2a\u95ee\u9898\uff0c\u6211\u4eec\u9a6c\u4e0a\u5c31\u4f1a\u770b\u5230\u3002\\n\\n\u56e0\u6b64\u4e3a\u4e86\u89e3\u51b3\u8fd9\u4e00\u95ee\u9898\uff0c\u5c0f\u660e **_\u65b0\u5efa\u4e86\u4e00\u4e2a\u5206\u652f (create a branch)_** \uff0c\u5e76\u628a\u5b83\u547d\u540d\u4e3a `XiaoMing/change-output-language`\u3002\u6211\u4eec\u53ef\u4ee5\u8ba4\u4e3a\uff0c\u5c0f\u660e\u662f\u5728\u4e00\u4e2a\u548c `master` \u76f8\u540c\u4f46\u72ec\u7acb\u7684\u6587\u4ef6\u5939\u91cc\u5de5\u4f5c\uff0c\u800c\u4ed6\u505a\u51fa\u7684\u4efb\u4f55\u6539\u52a8\u90fd\u4e0d\u4f1a\u5f71\u54cd `master`\u3002\u8fd9\u4e0d\u4ec5\u80fd\u660e\u786e\u4ed6\u7684\u76ee\u7684\uff0c\u786e\u5b9a\u4ed6\u5206\u652f\u4f5c\u8005\u7684\u5730\u4f4d\uff0c\u8fd8\u80fd\u907f\u514d\u51b2\u7a81\u548c\u6df7\u4e71\u3002\\n\\n\u73b0\u5728\u8fd9\u4e9b\u53d8\u66f4\u90fd\u4f1a\u88ab\u8bb0\u5f55\u5728 `XiaoMing/change-output-language` \u4e2d\u3002\u4f46\u5f53\u4ed6\u51c6\u5907 commit \u65f6\uff0c\u4ed6\u8bb0\u8d77\u4e86\u53e6\u4e00\u6761\u51c6\u5219\uff1a**\u4e00\u4e2a commit \u53ea\u5e94\u8be5\u5b9e\u73b0\u4e00\u4e2a\u529f\u80fd\u3002** \u91cd\u65b0\u5ba1\u89c6\u81ea\u5df1\u7684\u6539\u52a8\uff0c\u4ed6\u89c9\u5f97\u6539\u53d8\u8bed\u8a00\u548c\u5728 `Contributors.txt` \u91cc\u6dfb\u52a0\u81ea\u5df1\u7684\u540d\u5b57\u5e94\u8be5\u662f\u72ec\u7acb\u7684\u6539\u52a8\u3002\uff08\u8fd9\u91cc\u7684\u533a\u522b\u5fae\u4e4e\u5176\u5fae\uff0c\u4f46\u5728\u5b9e\u9645\u7684\u9879\u76ee\u4e2d\u8fd8\u662f\u975e\u5e38\u5bb9\u6613\u5224\u65ad\u7684\u3002\uff09\u56e0\u6b64\u4ed6 **_\u4e0a\u4f20\u4e86\u4e24\u4e2a commit (make a commit)_** \uff0c\u5206\u522b\u547d\u540d\u4e3a `Change output to French` \u548c `Add XiaoMing\'s name to Contributors.txt`\uff0c\u800c\u5b83\u4eec\u7684\u54c8\u5e0c\u503c\u5206\u522b\u4e3a `C1` \u548c `C2`\u3002\u6ce8\u610f\uff0c\u4ed6\u4e0d\u4e00\u5b9a\u662f\u6309\u987a\u5e8f\u505a\u51fa\u8fd9\u4e9b\u6539\u52a8\u7684\uff0c\u4f46 Git \u628a `C2` \u5f53\u4f5c `C1` \u7684\u7ee7\u627f\u8005\uff0c\u56e0\u4e3a\u5b83\u662f\u540e\u6765\u7684 commit\u3002\u73b0\u5728\uff0c`XiaoMing/change-output-language` \u8fd9\u4e00\u5206\u652f\u5c31\u6307\u5411\u4e86 `C2` commit\u3002\u8be5\u4ed3\u5e93\u73b0\u5728\u7684 Git \u6811\u5982\u4e0b\uff1a\\n\\n\\"Git\\n\\n\u6b64\u65f6\u4ed6\u7684\u6539\u52a8\u8fd8\u53ea\u662f\u672c\u5730\u7684\u2014\u2014\u6ca1\u4eba\u80fd\u5728 GitHub \u7f51\u9875\u4e0a\u770b\u5230\u5b83\u4eec\u3002\u56e0\u6b64\u4ed6\u63a5\u4e0b\u6765 **_\u53d1\u5e03\u4e86\u5206\u652f\u5e76\u5c06\u5176\u63a8\u9001\u81f3\u6e90 (publish branch and push to origin)_** \u3002\u8fd9\u4f1a\u628a `XiaoMing/change-output-language` \u8fd9\u4e00\u5206\u652f\u53ca\u5176\u5305\u542b\u7684\u6240\u6709 commit \u4e0a\u4f20\u5230 GitHub \u8fdc\u7a0b\u7ec8\u7aef\u3002\\n\\n\u5f53\u4ed6\u53d1\u5e03\u4e86\u5206\u652f\u4e4b\u540e\uff0c\u5176\u540e\u5728\u8be5\u5206\u652f\u4e0a\u505a\u51fa\u7684\u4efb\u4f55 commit \u90fd\u4f1a\u81ea\u52a8\u88ab\u540c\u6b65\u5230 GitHub \u4e0a\u3002\\n\\n\u7d27\u63a5\u7740\uff0c\u4ed6 **_\u53d1\u5e03\u4e86\u62c9\u53d6\u8bf7\u6c42 (create pull request)_** \uff0c\u8bf7\u6c42\u4ee3\u7801\u62e5\u6709\u8005\uff08\u4e5f\u5c31\u662f\u5c0f\u4e3d\uff09\u5408\u5e76\u8fd9\u4e00\u5206\u652f\u3002_\u5206\u652f\u88ab\u5408\u5e76\u540e\uff0c\u6240\u6709\u7684\u6539\u53d8\u90fd\u4f1a\u5728 `master` \u4e2d\u4f53\u73b0\u51fa\u6765\u3002_\\n\\n\u53ea\u6709\u4e00\u4e2a\u5206\u652f\u65f6\uff0c\u4e8b\u60c5\u975e\u5e38\u7b80\u5355\uff0c\u56e0\u4e3a\u6b64\u65f6\u5206\u652f\u4e0a\u6240\u6709\u7684 commit \u90fd\u662f `master` \u7684\u7ee7\u627f\u8005\uff0c\u5728\u5408\u5e76\u5206\u652f\u65f6\uff0cGit \u53ea\u9700\u8981\u628a\u6240\u6709\u4e1c\u897f\u90fd\u52a0\u5230 `master`\uff0c\u4e5f\u5c31\u662f `C0` \u4e0a\uff0c\u5c31\u53ef\u4ee5\u4e86\u3002\u56e0\u6b64\uff0c\u5b83\u4f1a\u79fb\u52a8 `master` \u6307\u9488\uff1a\\n\\n\\"Git\\n\\n\u800c\u4e8b\u5b9e\u4e0a\uff0c\u4ee5\u4e0a\u5c31\u662f\u6240\u6709 Git \u65b0\u7528\u6237\u9700\u8981\u660e\u767d\u7684\u64cd\u4f5c\u3002\u4f46\u4f5c\u4e3a\u672a\u6765\u7684 GitHub \u4ee3\u7801\u7ba1\u7406\u8005\uff0c\u4f60\u5e94\u5f53\u601d\u8003\u5f97\u66f4\u6df1\u5165\u4e00\u70b9\u3002\\n\\n## \u89e3\u51b3\u51b2\u7a81\\n\\n\u4e3a\u4e86\u8ba9\u4e8b\u60c5\u66f4\u6709\u8da3\u4e00\u70b9\uff0c\u6211\u4eec\u53c8\u540c\u65f6\u8bf7\u6765\u4e86\u5b88\u65e7\u6d3e\u5c0f\u7ea2\u3002\u5979\u5bf9\u5c0f\u4e3d\u5fd8\u8bb0\u5728 cpp \u6587\u4ef6\u7ed3\u5c3e\u52a0 `return 0;` \u975e\u5e38\u4e0d\u6ee1\uff0c\u56e0\u6b64\u51b3\u5b9a\u4fee\u6b63\u8fd9\u4e00\u95ee\u9898\u3002\u540c\u6837\u5730\uff0c\u5979\u590d\u5236\u4e86\u4ed3\u5e93\uff0c\u5728 `master` \u4e0a\u65b0\u5efa\u4e86\u4e00\u4e2a\u53eb `XiaoHong/improve-code-style` \u7684\u5206\u652f\uff0c\u800c\u7531\u4e8e\u6b64\u65f6\u5c0f\u660e\u8fd8\u6ca1\u6709\u63d0\u4ea4\u5206\u652f\uff0c`master` \u4ecd\u7136\u6307\u5411 `C0`\u3002\u6587\u4ef6\u6539\u52a8\u5982\u4e0b\uff08`C3`\uff09\uff1a\\n\\n```cpp\\n// Hello.cpp\\n#include \\nusing namespace std;\\nint main() {\\n cout << \\"Hello world!\\" << endl;\\n return 0;\\n}\\n```\\n\\n```bash\\n// Contributors.txt\\nXiaoLi\\nXiaoHong\\n```\\n\\n```markdown\\n// README.md\\n\\n# Hello world\\n\\nA piece of C++ code that prints `Hello world!`\\n```\\n\\n\u5979\u53d1\u5e03\u4e86\u5206\u652f\u5e76\u63d0\u4ea4\u4e86\u5408\u5e76\u8bf7\u6c42\u3002\u6b64\u65f6\uff0cGit \u6811\u5982\u4e0b\uff1a\\n\\n\\"Git\\n\\n\u5c0f\u4e3d\u5348\u4f11\u7ed3\u675f\u4e4b\u540e\uff0c\u56de\u5230 GitHub \u9875\u9762\u4e0a\uff0c\u53d1\u73b0\u591a\u4e86\u4e24\u4e2a\u5408\u5e76\u8bf7\u6c42\u3002\u5979\u5f00\u5fc3\u5730\u5408\u5e76\u4e86\u5c0f\u660e\u7684\u8bf7\u6c42\uff1a\\n\\n\\"Git\\n\\n\u4f46\u5374\u53d1\u73b0\u4e0d\u80fd\u76f4\u63a5\u5408\u5e76\u5c0f\u7ea2\u7684\u3002GitHub \u8b66\u544a\u8bf4\uff0c\u8be5\u5206\u652f\u548c `master` \u95f4\u6709\u51b2\u7a81\uff0c\u56e0\u4e3a\u6709\u540c\u65f6\u4f5c\u51fa\u7684\u4fee\u6539\uff0cGit \u4e0d\u77e5\u9053\u8981\u7559\u4e0b\u54ea\u4e00\u4e2a\uff0c\u56e0\u6b64\u9700\u8981\u5979\u624b\u52a8\u89e3\u51b3\u51b2\u7a81\u3002\u89e3\u51b3\u9875\u9762\u6709\u5982\u4e0b\u7684\u5185\u5bb9\uff1a\\n\\n```cpp\\n// Hello.cpp\\n #include \\n using namespace std;\\n int main() {\\n <<<<<<< master\\n cout << \\"Bonjour le monde!\\" << endl;\\n =======\\n cout << \\"Hello world!\\" << endl;\\n return 0;\\n >>>>>>> XiaoHong/improve-code-style\\n }\\n```\\n\\n```bash\\n// Contributors.txt\\n XiaoLi\\n <<<<<<< master\\n XiaoMing\\n =======\\n XiaoHong\\n >>>>>>> XiaoHong/improve-code-style\\n```\\n\\n\u6ce8\u610f\u5230 README.md \u6587\u4ef6\u4e0d\u9700\u8981\u89e3\u51b3\u51b2\u7a81\uff0c\u56e0\u4e3a\u53ea\u6709\u5c0f\u660e\u4f5c\u4e86\u4fee\u6539\uff1bGit \u8fd8\u662f\u80fd\u610f\u8bc6\u5230\u8fd9\u4e00\u70b9\u7684\u3002\u600e\u4e48\u89e3\u51b3\u4e0a\u8ff0\u95ee\u9898\u5bf9\u5c0f\u4e3d\u8fd9\u6837\u7684\u4eba\u7c7b\u8fd8\u662f\u975e\u5e38\u663e\u7136\u7684\uff1a\u53ea\u8981\u540c\u65f6\u7559\u4e0b\u4e24\u4eba\u6240\u505a\u7684\u6539\u52a8\u5373\u53ef\u3002\u56e0\u6b64\uff0c\u5979\u5220\u53bb\u4e86\u591a\u4f59\u7684\u5185\u5bb9\uff0c\u89e3\u51b3\u4e86\u51b2\u7a81\uff0c\u5e76\u5408\u5e76\u4e86\u5c0f\u7ea2\u7684\u5206\u652f\u3002\u6587\u4ef6\u73b0\u5728\u7684\u6837\u5b50\uff08`C4`\uff09\uff1a\\n\\n```cpp\\n// Hello.cpp\\n#include \\nusing namespace std;\\nint main() {\\n cout << \\"Bonjour le monde!\\" << endl;\\n return 0;\\n}\\n```\\n\\n```bash\\n// Contributors.txt\\nXiaoLi\\nXiaoMing\\nXiaoHong\\n```\\n\\n```markdown\\n// README.md\\n\\n# Hello world\\n\\nA piece of C++ code that prints `Bonjour le monde!`\\n```\\n\\n\u800c\u5728\u5408\u5e76\u4e00\u4e2a\u5e76\u4e0d\u662f\u81ea\u5df1\u7684\u7ee7\u627f\u8005\u7684\u5206\u652f\u65f6\uff0cGit \u4f1a\u65b0\u5efa\u4e00\u4e2a commit\uff1a\\n\\n\\"Git\\n\\n\u6b64\u65f6\uff0c\u5c0f\u4e3d\u3001\u5c0f\u660e\u3001\u5c0f\u7ea2\u4e09\u4eba\u5c31\u6210\u529f\u5730\u5b8c\u6210\u4e86\u4e00\u6b21\u5728 GitHub \u4e0a\u7684\u5f00\u6e90\u9879\u76ee\u5408\u4f5c\u3002\\n\\n\u5982\u679c\u60f3\u8981\u5b66\u4e60\u66f4\u591a Git \u6709\u5173\u7684\u77e5\u8bc6\uff0c\u5e76\u6df1\u5165\u7814\u7a76\u5b83\u7684\u6811\u72b6\u7ed3\u6784\uff0c\u53ef\u4ee5\u8bbf\u95ee\u8fd9\u4e2a\u7f51\u7ad9\uff1a[Learn Git Branching](https://learngitbranching.js.org)\\n\\n## \u62d3\u5c55\u9605\u8bfb\\n\\n\u5982\u679c\u60f3\u8981\u4e86\u89e3 `pull`, `push`, `commit`, `add`, \u548c `checkout` \u65f6\u5177\u4f53\u53d1\u751f\u4e86\u4ec0\u4e48\uff0c\u53ef\u4ee5\u53c2\u8003\u4ee5\u4e0b\u7f51\u7ad9\uff1a\\n\\n- [Git SCM - Getting Started: Git Basics](https://git-scm.com/book/en/v1/Getting-Started-Git-Basics)\\n- [Git SCM - Git Branching: Branches in a Nutshell](https://git-scm.com/book/en/v2/Git-Branching-Branches-in-a-Nutshell)\\n- [Git SCM - Git Branching: Branching Workflows](https://git-scm.com/book/en/v2/Git-Branching-Branching-Workflows)\\n- [Stack Overflow - What\'s the difference between HEAD, working tree and index, in Git?](https://stackoverflow.com/questions/3689838/whats-the-difference-between-head-working-tree-and-index-in-git)\\n- [Understanding Git: Data Model](https://hackernoon.com/https-medium-com-zspajich-understanding-git-data-model-95eb16cc99f5)\\n- [Understanding Git: Branching](https://hackernoon.com/understanding-git-branching-2662f5882f9)\\n- [Understanding Git: Index](https://hackernoon.com/understanding-git-index-4821a0765cf)\\n\\n\u9664\u6b64\u4e4b\u5916\uff0c\u5982\u679c\u4f60\u4e0d\u559c\u6b22\u9605\u8bfb\u957f\u7bc7\u5927\u8bba\uff0c\u4f60\u53ef\u4ee5\u89c2\u770b\u4e0b\u9762\u8fd9\u4e2a\u957f\u7ea6 82 \u5206\u949f\u7684 YouTube \u89c6\u9891\uff1a\\n\\n- [\\\\[VIDEO\\\\] Introduction to Git with Scott Chacon of GitHub](https://www.youtube.com/watch?v=ZDR433b0HJY)\\n\\n\u4e5f\u53ef\u4ee5\u5728\u8fd9\u4e2a\u53ef\u89c6\u5316\u7684\u9875\u9762\u4e0a\u5c1d\u8bd5\u5404\u7c7b Git \u6307\u4ee4\uff1a\\n\\n- [Learn Git Branching](https://learngitbranching.js.org)"},{"id":"/2020/09/02/welcome","metadata":{"permalink":"/blog/2020/09/02/welcome","source":"@site/blog/2020-09-02-welcome.md","title":"Welcome","description":"Computerization\u6b22\u8fce\u6240\u6709 2020 \u5c4a\u65b0\u6210\u5458\uff01","date":"2020-09-02T00:00:00.000Z","formattedDate":"2020\u5e749\u67082\u65e5","tags":[{"label":"welcome","permalink":"/blog/tags/welcome"}],"readingTime":0.55,"hasTruncateMarker":false,"authors":[{"name":"Josh Cena","title":"\u4fe1\u606f\u5316\u793e 2022 \u5c4a\u793e\u957f","url":"https://github.com/Josh-Cena","imageURL":"https://github.com/Josh-Cena.png","key":"josh-cena"}],"frontMatter":{"title":"Welcome","authors":"josh-cena","tags":["welcome"]},"unlisted":false,"prevItem":{"title":"Git \u4f7f\u7528\u6307\u5357\uff1a\u7406\u89e3 Git \u5de5\u4f5c\u539f\u7406","permalink":"/blog/2020/09/23/git-usage"}},"content":"**Computerization**\u6b22\u8fce\u6240\u6709 2020 \u5c4a\u65b0\u6210\u5458\uff01\\n\\n\u5728\u8fd9\u91cc\uff0c\u4f60\u53ef\u4ee5\uff1a\\n\\n- \u53c2\u4e0e\u65b0\u5e73\u53f0 [Enspire](https://github.com/Computerization/Enspire) \u7684\u5f00\u53d1\uff1b\\n- \u7814\u7a76\u4eba\u5de5\u667a\u80fd (e.g. 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t(e,t){return"___"+e.toUpperCase()+t+"___"}Object.defineProperties(e.languages["markup-templating"]={},{buildPlaceholders:{value:function(n,r,a,o){if(n.language===r){var i=n.tokenStack=[];n.code=n.code.replace(a,(function(e){if("function"==typeof o&&!o(e))return e;for(var a,l=i.length;-1!==n.code.indexOf(a=t(r,l));)++l;return i[l]=e,a})),n.grammar=e.languages.markup}}},tokenizePlaceholders:{value:function(n,r){if(n.language===r&&n.tokenStack){n.grammar=e.languages[r];var a=0,o=Object.keys(n.tokenStack);!function i(l){for(var u=0;u=o.length);u++){var s=l[u];if("string"==typeof s||s.content&&"string"==typeof s.content){var c=o[a],d=n.tokenStack[c],f="string"==typeof s?s:s.content,p=t(r,c),m=f.indexOf(p);if(m>-1){++a;var g=f.substring(0,m),h=new e.Token(r,e.tokenize(d,n.grammar),"language-"+r,d),v=f.substring(m+p.length),b=[];g&&b.push.apply(b,i([g])),b.push(h),v&&b.push.apply(b,i([v])),"string"==typeof s?l.splice.apply(l,[u,1].concat(b)):s.content=b}}else s.content&&i(s.content)}return 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r.languages.reason.function,function(e){e.languages.sass=e.languages.extend("css",{comment:{pattern:/^([ \t]*)\/[\/*].*(?:(?:\r?\n|\r)\1[ \t].+)*/m,lookbehind:!0,greedy:!0}}),e.languages.insertBefore("sass","atrule",{"atrule-line":{pattern:/^(?:[ \t]*)[@+=].+/m,greedy:!0,inside:{atrule:/(?:@[\w-]+|[+=])/}}}),delete e.languages.sass.atrule;var t=/\$[-\w]+|#\{\$[-\w]+\}/,n=[/[+*\/%]|[=!]=|<=?|>=?|\b(?:and|not|or)\b/,{pattern:/(\s)-(?=\s)/,lookbehind:!0}];e.languages.insertBefore("sass","property",{"variable-line":{pattern:/^[ \t]*\$.+/m,greedy:!0,inside:{punctuation:/:/,variable:t,operator:n}},"property-line":{pattern:/^[ \t]*(?:[^:\s]+ *:.*|:[^:\s].*)/m,greedy:!0,inside:{property:[/[^:\s]+(?=\s*:)/,{pattern:/(:)[^:\s]+/,lookbehind:!0}],punctuation:/:/,variable:t,operator:n,important:e.languages.sass.important}}}),delete e.languages.sass.property,delete e.languages.sass.important,e.languages.insertBefore("sass","punctuation",{selector:{pattern:/^([ 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