{"id":1043,"date":"2021-03-26T20:58:53","date_gmt":"2021-03-26T12:58:53","guid":{"rendered":"http:\/\/lonelinerd.com\/?p=1043"},"modified":"2022-10-16T19:24:34","modified_gmt":"2022-10-16T11:24:34","slug":"reading-notes-csharp-algorithm-10","status":"publish","type":"post","link":"https:\/\/lonelinerd.com\/index.php\/2021\/03\/26\/reading-notes-csharp-algorithm-10\/","title":{"rendered":"\u300a\u5716\u8aaa\u6f14\u7b97\u6cd5-\u4f7f\u7528C#\u300b\u8981\u9ede\u6458\u9304 \u2013 \u300c\u5716\u5f62\u300d"},"content":{"rendered":"\t\t
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\u66f8\u540d\uff1a\u300a\u5716\u8aaa\u6f14\u7b97\u6cd5-\u4f7f\u7528C#\u300b<\/b><\/p>

\u4f5c\u8005\uff1a\u5433\u71e6\u9298\u3001\u80e1\u662d\u6c11<\/strong><\/p>

\u6240\u8b80\u7248\u672c\uff1a\u535a\u78a9\u6587\u5316<\/p>\t\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t

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\n\t\t\t\n\t\t\t\t\t\t<\/span>\n\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t
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\u5716\u5f62\u6578\u64da\u8868\u793a\u6cd5<\/span><\/u><\/span><\/strong><\/span><\/h4>
\u76f8\u9130\u77e9\u9663\u6cd5<\/span><\/u><\/span><\/strong><\/span><\/h5>

  • \u5047\u8a2d\u5716\u6709n\u500b\u9802\u9ede\uff0c\u5c31\u5229\u7528\u4e00\u500bn*n\u7684\u4e8c\u7dad\u77e9\u9663\u4f86\u8868\u793a\u3002\u7576A(i, j) = 1\uff0c\u8868\u793a\u5716\u5f62\u4e2d\u6709\u4e00\u689d\u908a(Vi, Vj)\u5b58\u5728\uff0c\u53cd\u4e4b\u5247\u6c92\u6709\u3002<\/span><\/p><\/li>

  • \u5c0d\u7121\u5411\u5716\u800c\u8a00\uff0c\u76f8\u9130\u77e9\u9663\u5fc5\u7136\u662f\u5c0d\u7a31\u7684\uff0c\u800c\u4e14\u5c0d\u89d2\u7dda\u4e00\u5b9a\u70ba0\u3002\u6709\u5411\u5716\u5247\u4e0d\u4e00\u5b9a<\/span><\/p><\/li>

  • \u5728\u7121\u5411\u5716\u4e2d\uff0c\u4efb\u4e00\u7bc0\u9edei\u7684\u5206\u652f\u5ea6\u70bai\u5217\u6240\u6709\u5143\u7d20\u7684\u548c\uff1b\u5728\u6709\u5411\u5716\u4e2d\uff0c\u7bc0\u9edei\u7684\u51fa\u5206\u652f\u5ea6\u70bai\u5217\u6240\u6709\u5143\u7d20\u7684\u548c\uff0c\u5165\u5206\u652f\u5ea6\u70baj\u884c\u6240\u6709\u5143\u7d20\u7684\u548c\u3002<\/span><\/p><\/li>

  • \u76f8\u9130\u77e9\u9663\u6cd5\u9700\u8981n^2\u7a7a\u9593\uff0c\u7531\u65bc\u7121\u5411\u5716\u7684\u76f8\u9130\u77e9\u9663\u4e00\u5b9a\u5177\u6709\u5c0d\u7a31\u95dc\u4fc2\uff0c\u6240\u4ee5\u6263\u9664\u5c0d\u89d2\u7dda\u5168\u90e8\u70ba0\u5916\uff0c\u50c5\u9700\u8981\u5132\u5b58\u4e0a\u4e09\u89d2\u5f62\u6216\u4e0b\u4e09\u89d2\u5f62\u7684\u8cc7\u6599\u5373\u53ef\uff0c\u56e0\u6b64\u50c5\u9700n(n-1)\/2\u7a7a\u9593<\/span><\/p><\/li><\/ul>

    \u76f8\u9130\u4e32\u5217\u6cd5<\/span><\/u><\/span><\/strong><\/span><\/h5>

    • \u5c07\u4e00\u500bn\u5217\u7684\u76f8\u9130\u77e9\u9663\uff0c\u8868\u793a\u6210n\u500b\u93c8\u7d50\u4e32\u5217<\/span><\/p><\/li>

    • \u93c8\u7d50\u6307\u5411\u5176\u4ed6\u76f8\u9023\u7684\u9802\u9ede<\/span><\/p><\/li>

    • \u5728\u7121\u5411\u5716\u4e2d\uff0c\u56e0\u70ba\u5c0d\u7a31\u7684\u95dc\u4fc2\uff0c\u82e5\u6709n\u500b\u9802\u9ede\u3001m\u500b\u908a\uff0c\u5247\u5f62\u6210n\u500b\u4e32\u5217\u9996\uff0c2m\u500b\u7bc0\u9ede\uff1b\u5728\u6709\u5411\u5716\u4e2d\uff0c\u5247\u6709n\u500b\u4e32\u5217\u9996\uff0cm\u500b\u7bc0\u9ede<\/span><\/p><\/li>

    • \u6c42\u6240\u6709\u9802\u9ede\u5206\u652f\u7684\u6642\u9593\u8907\u96dc\u5ea6\u70baO(n + m)<\/span><\/p><\/li><\/ul>

      \u76f8\u9130\u8907\u5408\u4e32\u5217\u6cd5<\/span><\/u><\/span><\/strong><\/span><\/h5>

      • \u5982\u679c\u8655\u7406\u7684\u662f\u300c\u908a\u300d\uff0c\u5247\u9700\u8981\u4f7f\u7528\u76f8\u9130\u8907\u5408\u4e32\u5217\u6cd5<\/span><\/p><\/li>

      • \u7bc0\u9ede\u7d50\u69cb<\/span><\/p>

        • M\uff1a\u8a18\u9304\u55ae\u5143 => \u8a72\u908a\u662f\u5426\u88ab\u627e\u904e<\/span><\/p><\/li>

        • V1\uff1a\u908a\u7dda\u8d77\u9ede<\/span><\/p><\/li>

        • V2\uff1a\u908a\u7dda\u7d42\u9ede<\/span><\/p><\/li>

        • Link1\uff1a\u8d77\u9ede\u6307\u6a19 => \u5c1a\u6709\u5176\u4ed6\u7bc0\u9ede\u8207V1\u76f8\u9023\u4e0b\uff0cLink1\u6307\u5411\u4e0b\u4e00\u500b\u8207V1\u76f8\u9023\u7684\u7bc0\u9ede<\/span><\/p><\/li>

        • Link2\uff1a\u7d42\u9ede\u6307\u6a19 => \u5c1a\u6709\u5176\u4ed6\u7bc0\u9ede\u8207V2\u76f8\u9023\u4e0b\uff0cLink2\u6307\u5411\u4e0b\u4e00\u500b\u8207V2\u76f8\u9023\u7684\u7bc0\u9ede<\/span><\/p><\/li><\/ul><\/li><\/ul>

          \u7d22\u5f15\u8868\u683c\u6cd5<\/span><\/u><\/span><\/strong><\/span><\/h5>

          • \u4ee5\u4e00\u7dad\u9663\u5217\u4f9d\u5e8f\u5132\u5b58\u8207\u5404\u9802\u9ede\u76f8\u9130\u7684\u6240\u6709\u9802\u9ede\uff0c\u4e26\u5efa\u7acb\u7d22\u5f15\u8868\u683c<\/span><\/p><\/li><\/ul>

            \u5716\u5f62\u904d\u6b77\u6cd5<\/span><\/u><\/span><\/strong><\/span><\/h4>
            DFS\uff08\u6df1\u5ea6\u512a\u5148\uff09<\/span><\/u><\/span><\/strong><\/span><\/h5>

            • \u7d50\u5408\u4e86\u905e\u6b78\u548cStack<\/span>\u5169\u7a2e\u6578\u64da\u7d50\u69cb\u7684\u6280\u5de7\uff0c\u5f9e\u5716\u5f62\u7684\u67d0\u4e00\u9802\u9ede\u958b\u59cb\u8d70\u8a2a\uff0c\u88ab\u62dc\u8a2a\u904e\u7684\u9802\u9ede\u5c31\u505a\u4e0a\u5df2\u62dc\u8a2a\u7684\u8a18\u865f\uff0c\u63a5\u8457\u8d70\u8a2a\u6b64\u9802\u9ede\u7684\u6240\u6709\u76f8\u9130\u4e14\u672a\u62dc\u8a2a\u904e\u7684\u9802\u9ede\u4e2d\u7684\u4efb\u610f\u4e00\u500b\u9802\u9ede\uff0c\u4e26\u505a\u4e0a\u5df2\u62dc\u8a2a\u7684\u8a18\u865f\uff0c\u518d\u4ee5\u8a72\u9ede\u70ba\u65b0\u7684\u8d77\u9ede\u7e7c\u7e8c\u9032\u884cDFS<\/span><\/p><\/li>

            • public<\/span> class<\/span> DFSNode<\/span><\/span>
              {<\/span>
               \u00a0 \u00a0public<\/span> int<\/span> x<\/span>;<\/span>
               \u00a0 \u00a0public<\/span> DFSNode<\/span> next<\/span>;<\/span>
               \u00a0 \u00a0public<\/span> DFSNode<\/span>(int<\/span> x<\/span>)<\/span>
               \u00a0  {<\/span>
               \u00a0 \u00a0 \u00a0 \u00a0this<\/span>.x<\/span> =<\/span> x<\/span>;<\/span>
               \u00a0 \u00a0 \u00a0 \u00a0next<\/span> =<\/span> null<\/span>;<\/span>
               \u00a0  }<\/span>
              }<\/span>
              \u200b<\/span>
              public<\/span> class<\/span> GraphLink<\/span><\/span>
              {<\/span>
               \u00a0 \u00a0public<\/span> DFSNode<\/span> first<\/span>;<\/span>
               \u00a0 \u00a0public<\/span> DFSNode<\/span> last<\/span>;<\/span>
               \u00a0 \u00a0public<\/span> bool<\/span> IsEmpty<\/span>()<\/span>
               \u00a0  {<\/span>
               \u00a0 \u00a0 \u00a0 \u00a0return<\/span> first<\/span> ==<\/span> null<\/span>;<\/span>
               \u00a0  }<\/span>
              \u200b<\/span>
               \u00a0 \u00a0public<\/span> void<\/span> Print<\/span>()<\/span>
               \u00a0  {<\/span>
               \u00a0 \u00a0 \u00a0 \u00a0DFSNode<\/span> curr<\/span> =<\/span> first<\/span>;<\/span>
               \u00a0 \u00a0 \u00a0 \u00a0while<\/span>(curr<\/span> !=<\/span> null<\/span>)<\/span>
               \u00a0 \u00a0 \u00a0  {<\/span>
               \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0Console<\/span>.WriteLine<\/span>(curr<\/span>.x<\/span> +<\/span> \" \"<\/span>);<\/span>
               \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0curr<\/span> =<\/span> curr<\/span>.next<\/span>;<\/span>
               \u00a0 \u00a0 \u00a0  }<\/span>
               \u00a0 \u00a0 \u00a0 \u00a0Console<\/span>.WriteLine<\/span>();<\/span>
               \u00a0  }<\/span>
              \u200b<\/span>
               \u00a0 \u00a0public<\/span> void<\/span> Insert<\/span>(int<\/span> x<\/span>)<\/span>
               \u00a0  {<\/span>
               \u00a0 \u00a0 \u00a0 \u00a0DFSNode<\/span> newNode<\/span> =<\/span> new<\/span> DFSNode<\/span>(x<\/span>);<\/span>
               \u00a0 \u00a0 \u00a0 \u00a0if<\/span> (this<\/span>.IsEmpty<\/span>())<\/span>
               \u00a0 \u00a0 \u00a0  {<\/span>
               \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0first<\/span> =<\/span> newNode<\/span>;<\/span>
               \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0last<\/span> =<\/span> newNode<\/span>;<\/span>
               \u00a0 \u00a0 \u00a0  }<\/span>
               \u00a0 \u00a0 \u00a0 \u00a0else<\/span><\/span>
               \u00a0 \u00a0 \u00a0  {<\/span>
               \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0last<\/span>.next<\/span> =<\/span> newNode<\/span>;<\/span>
               \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0last<\/span> =<\/span> newNode<\/span>;<\/span>
               \u00a0 \u00a0 \u00a0  }<\/span>
               \u00a0  }<\/span>
              }<\/span>
              \u200b<\/span>
              public<\/span> static<\/span> int<\/span>[] run<\/span> =<\/span> new<\/span> int<\/span>[9<\/span>];<\/span>
              public<\/span> static<\/span> GraphLink<\/span>[] Head<\/span> =<\/span> new<\/span> GraphLink<\/span>[9<\/span>];<\/span>
              public<\/span> static<\/span> void<\/span> DFS<\/span>(int<\/span> curr<\/span>)<\/span>
              {<\/span>
               \u00a0 \u00a0run<\/span>[curr<\/span>] =<\/span> 1<\/span>;<\/span>
              \u200b<\/span>
               \u00a0 \u00a0while<\/span>(Head<\/span>[curr<\/span>].first<\/span> !=<\/span> null<\/span>)<\/span>
               \u00a0  {<\/span>
               \u00a0 \u00a0 \u00a0 \u00a0if<\/span>(run<\/span>[Head<\/span>[curr<\/span>].first<\/span>.x<\/span>] ==<\/span> 0<\/span>) { DFS<\/span>(Head<\/span>[curr<\/span>].first<\/span>.x<\/span>); }<\/span>
               \u00a0 \u00a0 \u00a0 \u00a0Head<\/span>[curr<\/span>].first<\/span> =<\/span> Head<\/span>[curr<\/span>].first<\/span>.next<\/span>;<\/span>
               \u00a0  }<\/span>
              }<\/span>
              \u200b<\/span>
              static<\/span> void<\/span> Main<\/span>(string<\/span>[] args<\/span>)<\/span>
              { \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0<\/span>
               \u00a0 \u00a0int<\/span>[,] Data<\/span> =<\/span><\/span>
               \u00a0  {<\/span>
               \u00a0 \u00a0 \u00a0  { 1<\/span>, 2<\/span> }, { 2<\/span>, 1<\/span> }, { 1<\/span>, 3<\/span> }, { 3<\/span>, 1<\/span> },<\/span>
               \u00a0 \u00a0 \u00a0  { 2<\/span>, 4<\/span> }, { 4<\/span>, 2<\/span> }, { 2<\/span>, 5<\/span> }, { 5<\/span>, 2<\/span> },<\/span>
               \u00a0 \u00a0 \u00a0  { 3<\/span>, 6<\/span> }, { 6<\/span>, 3<\/span> }, { 3<\/span>, 7<\/span> }, { 7<\/span>, 3<\/span> },<\/span>
               \u00a0 \u00a0 \u00a0  { 4<\/span>, 5<\/span> }, { 5<\/span>, 4<\/span> }, { 6<\/span>, 7<\/span> }, { 7<\/span>, 6<\/span> },<\/span>
               \u00a0 \u00a0 \u00a0  { 5<\/span>, 8<\/span> }, { 8<\/span>, 5<\/span> }, { 6<\/span>, 8<\/span> }, { 8<\/span>, 6<\/span> } <\/span>
               \u00a0  };<\/span>
              \u200b<\/span>
               \u00a0 \u00a0for<\/span> (int<\/span> i<\/span> =<\/span> 1<\/span>; i<\/span> <<\/span> 9<\/span>; i<\/span>++<\/span>)<\/span>
               \u00a0  {<\/span>
               \u00a0 \u00a0 \u00a0 \u00a0run<\/span>[i<\/span>] =<\/span> 0<\/span>;<\/span>
               \u00a0 \u00a0 \u00a0 \u00a0Head<\/span>[i<\/span>] =<\/span> new<\/span> GraphLink<\/span>();<\/span>
               \u00a0 \u00a0 \u00a0 \u00a0for<\/span> (int<\/span> j<\/span> =<\/span> 0<\/span>; j<\/span> <<\/span> 20<\/span>; j<\/span>++<\/span>)<\/span>
               \u00a0 \u00a0 \u00a0  {<\/span>
               \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0if<\/span>(Data<\/span>[j<\/span>, 0<\/span>] ==<\/span> i<\/span>)<\/span>
               \u00a0 \u00a0 \u00a0 \u00a0 \u00a0  {<\/span>
               \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0int<\/span> num<\/span> =<\/span> Data<\/span>[j<\/span>, 1<\/span>];<\/span>
               \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0Head<\/span>[i<\/span>].Insert<\/span>(num<\/span>);<\/span>
               \u00a0 \u00a0 \u00a0 \u00a0 \u00a0  }<\/span>
               \u00a0 \u00a0 \u00a0  }<\/span>
               \u00a0 \u00a0 \u00a0 \u00a0Head<\/span>[i<\/span>].Print<\/span>();<\/span>
               \u00a0  }<\/span>
              \u200b<\/span>
               \u00a0 \u00a0Console<\/span>.WriteLine<\/span>();<\/span>
              \u200b<\/span>
               \u00a0 \u00a0DFS<\/span>(1<\/span>);<\/span>
              }<\/span><\/pre><\/li><\/ul>
              BFS\uff08\u5ee3\u5ea6\u512a\u5148\uff09<\/span><\/u><\/span><\/strong><\/span><\/h5>
              • \u7d50\u5408\u4e86\u905e\u6b78\u548cQueue<\/span>\u7684\u6280\u5de7\uff0c\u5f9e\u5716\u5f62\u7684\u67d0\u4e00\u9802\u9ede\u958b\u59cb\u8d70\u8a2a\uff0c\u88ab\u62dc\u8a2a\u904e\u7684\u9802\u9ede\u5c31\u505a\u4e0a\u5df2\u62dc\u8a2a\u7684\u8a18\u865f\uff0c\u63a5\u8457\u8d70\u8a2a\u6b64\u9802\u9ede\u7684\u6240\u6709\u76f8\u9130\u4e14\u672a\u62dc\u8a2a\u904e\u7684\u9802\u9ede\u4e2d\u7684\u4efb\u610f\u4e00\u500b\u9802\u9ede\uff0c\u4e26\u505a\u4e0a\u5df2\u62dc\u8a2a\u7684\u8a18\u865f\uff0c\u518d\u4ee5\u8a72\u9ede\u70ba\u65b0\u7684\u8d77\u9ede\u7e7c\u7e8c\u9032\u884cDFS<\/span><\/p><\/li>
              • public<\/span> const<\/span> int<\/span> MAXSIZE<\/span> =<\/span> 10<\/span>;<\/span>
                static<\/span> int<\/span>[] queue<\/span> =<\/span> new<\/span> int<\/span>[MAXSIZE<\/span>];<\/span>
                static<\/span> int<\/span> front<\/span> =<\/span> -<\/span>1<\/span>;<\/span>
                static<\/span> int<\/span> rear<\/span> =<\/span> -<\/span>1<\/span>;<\/span>
                public<\/span> static<\/span> void<\/span> Enqueue<\/span>(int<\/span> value<\/span>)<\/span>
                {<\/span>
                 \u00a0 \u00a0if<\/span> (rear<\/span> >=<\/span> MAXSIZE<\/span>) { return<\/span>; }<\/span>
                 \u00a0 \u00a0rear<\/span>++<\/span>;<\/span>
                 \u00a0 \u00a0queue<\/span>[rear<\/span>] =<\/span> value<\/span>;<\/span>
                }<\/span>
                public<\/span> static<\/span> int<\/span> Dequeue<\/span>()<\/span>
                {<\/span>
                 \u00a0 \u00a0if<\/span> (front<\/span> ==<\/span> rear<\/span>) { return<\/span> -<\/span>1<\/span>; }<\/span>
                 \u00a0 \u00a0front<\/span>++<\/span>;<\/span>
                 \u00a0 \u00a0return<\/span> queue<\/span>[front<\/span>];<\/span>
                }<\/span>
                public<\/span> static<\/span> void<\/span> BFS<\/span>(int<\/span> curr<\/span>)<\/span>
                {<\/span>
                 \u00a0 \u00a0D_BFSNODE<\/span> tmpNode<\/span>;<\/span>
                 \u00a0 \u00a0Enqueue<\/span>(curr<\/span>);<\/span>
                 \u00a0 \u00a0run<\/span>[curr<\/span>] =<\/span> 1<\/span>;<\/span>
                 \u00a0 \u00a0while<\/span>(front<\/span> !=<\/span> rear<\/span>)<\/span>
                 \u00a0  {<\/span>
                 \u00a0 \u00a0 \u00a0 \u00a0curr<\/span> =<\/span> Dequeue<\/span>();<\/span>
                 \u00a0 \u00a0 \u00a0 \u00a0tmpNode<\/span> =<\/span> Head<\/span>[curr<\/span>].first<\/span>;<\/span>
                 \u00a0 \u00a0 \u00a0 \u00a0while<\/span>(tmpNode<\/span> !=<\/span> null<\/span>)<\/span>
                 \u00a0 \u00a0 \u00a0  {<\/span>
                 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0if<\/span>(run<\/span>[tmpNode<\/span>.x<\/span>] ==<\/span> 0<\/span>)<\/span>
                 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0  {<\/span>
                 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0Enqueue<\/span>(tmpNode<\/span>.x<\/span>);<\/span>
                 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0run<\/span>[tmpNode<\/span>.x<\/span>] =<\/span> 1<\/span>;<\/span>
                 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0  }<\/span>
                 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0tmpNode<\/span> =<\/span> tmpNode<\/span>.next<\/span>;<\/span>
                 \u00a0 \u00a0 \u00a0  }<\/span>
                 \u00a0  }<\/span>
                }<\/span><\/pre><\/li><\/ul>
                \u64f4\u5f35\u6a39<\/span><\/u><\/span><\/strong><\/span><\/h4>
                • \u4ee5\u6700\u5c0f\u7684\u908a\u4f86\u9023\u7d50\u5716\u5f62\u4e2d\u6240\u6709\u7684\u9ede\uff0c\u4e14\u4e0d\u9020\u6210\u5faa\u74b0\u7684\u6a39\u72c0\u7d50\u69cb<\/span><\/p><\/li>
                • \u7576\u4e00\u500b\u5716\u5f62\u9023\u901a\u6642\uff0c\u5247\u4f7f\u7528DFS\/BFS\u5fc5\u80fd\u62dc\u8a2a\u5716\u5f62\u4e2d\u6240\u6709\u7684\u9802\u9ede\uff0c\u4e14G=(V,E)\u7684\u6240\u6709\u908a\u53ef\u5206\u6210\u5169\u500b\u96c6\u5408\uff1aT\u548cB\uff08T = \u641c\u5c0b\u6642\u7d93\u904e\u7684\u6240\u6709\u908a\uff0cB = \u672a\u88ab\u7d93\u904e\u7684\u908a\uff09\u3002<\/span><\/p><\/li>
                • if S=(V,T)\u70baG\u4e2d\u7684\u64f4\u5f35\u6a39\uff0c\u5177\u6709\u4e09\u7a2e\u6027\u8cea<\/span><\/p>
                  • E=T+B<\/span><\/p><\/li>
                  • \u52a0\u5165B\u4e2d\u7684\u4efb\u4e00\u908a\u5230S\u4e2d\uff0c\u5247\u6703\u7522\u751f\u5faa\u74b0<\/span><\/p><\/li>
                  • V\u4e2d\u7684\u4efb\u4f552\u9802\u9edeVi\u3001Vj\u5728S\u4e2d\u5b58\u5728\u552f\u4e00\u7684\u4e00\u689d\u7c21\u55ae\u8def\u5f91<\/span><\/p><\/li><\/ul><\/li>
                  • \u4f7f\u7528DFS\u53ef\u7522\u751f\u7e31\u5411\u64f4\u5f35\u6a39<\/span><\/p><\/li>
                  • \u4f7f\u7528BFS\u53ef\u7522\u751f\u6a6b\u5411\u64f4\u5f35\u6a39<\/span><\/p><\/li><\/ul>
                    \u6700\u5c0f\u82b1\u8cbb\u64f4\u5f35\u6a39<\/span><\/u><\/span><\/strong><\/span><\/h5>
                    • \u5728\u6a39\u7684\u908a\u52a0\u4e0a\u4e00\u500b\u6b0a\u91cd\uff0c\u4f7f\u4e4b\u8b8a\u6210\u300c\u52a0\u6b0a\u5716\u5f62\u300d\uff0c\u5982\u679c\u9019\u500b\u6b0a\u91cd\u4ee3\u8868\u4e86\u9802\u9ede\u9593\u7684\u8ddd\u96e2\/\u6210\u672c\uff0c\u9019\u985e\u5716\u5f62\u7a31\u70ba\u300c\u7db2\u7d61\u300d<\/span><\/p><\/li>
                    • \u53ef\u901a\u904ePrim’s\u6f14\u7b97\u6cd5\u6216Kruskal’s\u6f14\u7b97\u6cd5\u627e\u5230\u4e00\u500b\u7121\u5411\u9023\u901a\u5716\u5f62\u4e2d\u7684\u6700\u5c0f\u82b1\u8cbb\u6a39<\/span><\/p>
                      • Kruskal’s\u6f14\u7b97\u6cd5<\/span><\/p>
                        • \u5c07\u5404\u908a\u7dda\u4f9d\u6b0a\u503c\u5927\u5c0f\u7531\u5c0f\u5230\u5927\u6392\u5217\uff0c\u63a5\u8457\u5f9e\u6b0a\u503c\u6700\u4f4e\u7684\u908a\u7dda\u958b\u59cb\u67b6\u69cb\u6700\u5c0f\u6210\u672c\u64f4\u5f35\u6a39\uff0c\u5982\u679c\u52a0\u5165\u7684\u908a\u7dda\u6703\u9020\u6210\u8ff4\u8def\u5247\u6368\u68c4\u4e0d\u7528\uff0c\u76f4\u5230\u52a0\u5165\u4e86n-1\u500b\u908a\u7dda\u70ba\u6b62\u3002<\/span><\/p><\/li><\/ul><\/li><\/ul><\/li><\/ul>
                          \u6700\u77ed\u8def\u5f91\u7b97\u6cd5<\/span><\/u><\/strong><\/span><\/h4>
                          Dijkstra\u6f14\u7b97\u6cd5<\/span><\/u><\/strong><\/span><\/h5>
                          • \u627e\u5230\u5f9e\u8d77\u9ede\u524d\u5f80\u5404\u9802\u9ede\u7684\u8ddd\u96e2\uff0c\u9078\u64c7\u7576\u4e2d\u8ddd\u96e2\u6700\u5c0f\u8def\u5f91\u7684\u9802\u9ede\u4e26\u52a0\u5230\u96c6\u5408\u4e2d\u3002\u518d\u628a\u8d77\u9ede\u7d93\u904e\u65b0\u9802\u9ede\u5f8c\uff0c\u5230\u5176\u4ed6\u9802\u9ede\u7684\u7d2f\u8a08\u8ddd\u96e2\u9032\u884c\u6bd4\u8f03\uff0c\u5982\u679c\u6709\u66f4\u5c0f\u7684\u8ddd\u96e2\u5c31\u5c07\u8def\u5f91\u66f4\u65b0\uff0c\u7136\u5f8c\u518d\u9078\u64c7\u8ddd\u96e2\u6700\u5c0f\u8def\u5f91\u7684\u9802\u9ede\uff0c\u5982\u6b64\u985e\u63a8\u3002<\/span><\/p><\/li><\/ul>
                            A*\u6f14\u7b97\u6cd5<\/span><\/u><\/span><\/strong><\/span><\/h5>
                            • Dijkstra\u6f14\u7b97\u6cd5\u7684\u5347\u7d1a\u7248\uff0cDijkstra\u5728\u5c0b\u627e\u6700\u77ed\u8def\u5f91\u7684\u904e\u7a0b\u4e2d\uff0c\u9700\u8981\u5be6\u969b\u53bb\u8a08\u7b97\u8d77\u9ede\u8207\u5404\u9802\u9ede\u7684\u8ddd\u96e2\u3002<\/span><\/p>
                              • \u4e5f\u5c31\u662f\u8aaa\uff0cDijkstra’s\u6f14\u7b97\u6cd5\u5728\u5e36\u6709\u6b0a\u91cd\u7684\u6709\u5411\u5716\u5f62\u9593\u7684\u5c0b\u8def\u53ea\u662f\u7c21\u55ae\u505aBFS\u7684\u5de5\u4f5c\u3002<\/span><\/p><\/li><\/ul><\/li>
                              • A*\u7d50\u5408\u4e86\u5728\u8def\u5f91\u641c\u5c0b\u904e\u7a0b\u4e2d\u5f9e\u8d77\u9ede\u5230\u5404\u9802\u9ede\u7684\u300c\u5be6\u969b\u6b0a\u91cd\u300d\uff0c\u53ca\u5404\u9802\u9ede\u9810\u4f30\u5230\u9054\u7d42\u9ede\u7684\u300c\u63a8\u6e2c\u6b0a\u91cd\u300d<\/span><\/p>
                                • \u66fc\u54c8\u9813\u8ddd\u96e2<\/span><\/p><\/li>
                                • \u5207\u6bd4\u96ea\u592b\u8ddd\u96e2<\/span><\/p><\/li>
                                • \u6b50\u6c0f\u5e7e\u4f55\u5e73\u9762\u76f4\u7dda\u8ddd\u96e2<\/span><\/p><\/li><\/ul><\/li>
                                • \u4e3b\u8981\u6b65\u9a5f<\/span><\/p>
                                  • \u6c7a\u5b9a\u5404\u9802\u9ede\u5230\u7d42\u9ede\u7684\u300c\u63a8\u6e2c\u6b0a\u91cd\u300d<\/span><\/p><\/li>
                                  • \u5206\u5225\u8a08\u7b97\u5f9e\u8d77\u9ede\u53ef\u62b5\u9054\u7684\u5404\u500b\u9802\u9ede\u7684\u6b0a\u91cd\uff08\u8d77\u9ede\u5230\u8a72\u9802\u9ede\u7684\u5be6\u969b\u6b0a\u91cd + \u8a72\u9802\u9ede\u5230\u7d42\u9ede\u7684\u63a8\u6e2c\u6b0a\u91cd\uff09\uff0c\u9078\u51fa\u6b0a\u91cd\u6700\u5c0f\u7684\u9802\u9ede\uff0c\u4e26\u6a19\u793a\u70ba\u641c\u5c0b\u5b8c\u7562\u7684\u9802\u9ede<\/span><\/p><\/li>
                                  • \u8a08\u7b97\u5f9e\u641c\u5c0b\u5b8c\u7562\u7684\u9802\u9ede\u51fa\u767c\u5230\u5404\u9ede\u7684\u6b0a\u91cd\uff0c\u518d\u5f9e\u4e2d\u9078\u51fa\u4e00\u500b\u6b0a\u91cd\u6700\u5c0f\u7684\u9ede\uff0c\u518d\u5c07\u8a72\u9ede\u6a19\u70ba\u641c\u5c0b\u5b8c\u7562\u3002\u4ee5\u6b64\u985e\u63a8\uff0c\u76f4\u5230\u7d42\u9ede\u3002<\/span><\/p><\/li><\/ul><\/li><\/ul>
                                    Floyd\u6f14\u7b97\u6cd5<\/span><\/u><\/span><\/strong><\/span><\/h5>
                                    • A^(k)[i,j] = min{A^(k-1)[i, j], A^(k-1)[i, k] + A^(k-1)[k, j]}, k>=1<\/span><\/p>
                                      • k\u8868\u793a\u7d93\u904e\u7684\u9802\u9ede\uff0cA^(k)[i, j]\u70ba\u5f9e\u9802\u9edei\u5230j\u7684\u7d93\u7531k\u9802\u9ede\u7684\u6700\u77ed\u8def\u5f91<\/span><\/p><\/li><\/ul><\/li>
                                      • A^(0)[i, j] = COST[i, j]\uff08\u5373A^(0) = COST\uff09\uff0cA^(0)\u70ba\u9802\u9edei\u5230j\u7684\u76f4\u901a\u8ddd\u96e2<\/span><\/p><\/li>
                                      • A^(n)[i, j]\u4ee3\u8868i \u5230 j\u7684\u6700\u77ed\u8ddd\u96e2\uff0c\u5373A^(n) \u4fbf\u662f\u6211\u5011\u6240\u8981\u6c42\u7684\u6700\u77ed\u8def\u5f91\u6210\u672c\u77e9\u9663\u3002<\/span><\/p><\/li><\/ul>\t\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t","protected":false},"excerpt":{"rendered":"
                                        \u66f8\u540d\uff1a\u300a\u5716\u8aaa\u6f14\u7b97\u6cd5-\u4f7f\u7528C#\u300b \u4f5c\u8005\uff1a\u5433\u71e6\u9298\u3001\u80e1\u662d\u6c11 \u6240\u8b80\u7248\u672c\uff1a\u535a\u78a9\u6587\u5316<\/p>\n","protected":false},"author":1,"featured_media":947,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[3,18,21],"tags":[],"class_list":["post-1043","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-reading-notes","category-developing","category-csharp-algorithm"],"jetpack_sharing_enabled":true,"jetpack_featured_media_url":"https:\/\/lonelinerd.com\/wp-content\/uploads\/2021\/03\/FeatureCover_ReadingNotes.png","_links":{"self":[{"href":"https:\/\/lonelinerd.com\/index.php\/wp-json\/wp\/v2\/posts\/1043","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/lonelinerd.com\/index.php\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/lonelinerd.com\/index.php\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/lonelinerd.com\/index.php\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/lonelinerd.com\/index.php\/wp-json\/wp\/v2\/comments?post=1043"}],"version-history":[{"count":5,"href":"https:\/\/lonelinerd.com\/index.php\/wp-json\/wp\/v2\/posts\/1043\/revisions"}],"predecessor-version":[{"id":1048,"href":"https:\/\/lonelinerd.com\/index.php\/wp-json\/wp\/v2\/posts\/1043\/revisions\/1048"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/lonelinerd.com\/index.php\/wp-json\/wp\/v2\/media\/947"}],"wp:attachment":[{"href":"https:\/\/lonelinerd.com\/index.php\/wp-json\/wp\/v2\/media?parent=1043"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/lonelinerd.com\/index.php\/wp-json\/wp\/v2\/categories?post=1043"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/lonelinerd.com\/index.php\/wp-json\/wp\/v2\/tags?post=1043"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}