複数レベルのリンク リストを平坦化する (深さ方向)

複数レベルのリンク リストを平坦化する (深さ方向)

リンクされたリストが与えられると、  次  各ノードが持つポインタ  子供  別のリストを指す場合もそうでない場合もあるポインター。これらの子リストには次のものがある可能性があります  1 つ以上の  自分の子供たちが  マルチレベル  リンクされたリスト。与えられた  頭  の  最初のレベル  リストの。課題は次のとおりです  平らにする  すべてのノードが 1 つのリストに表示されるようにリストを作成します。  単一レベル  リンクされたリスト。すべてのノードが同じになるようにリストを平坦化します。  最初のレベル  来るべきだ  初め 次に、のノード  2番  レベルなど。

例:

入力:

2_5


出力: 1->4->6->2->5->7->3->8
説明: マルチレベルのリンク リストには子ポインターがないため、フラット化されます。

私たちは話し合いました マルチレベルリンクリストのフラット化 ここで、ノードには down と next の 2 つのポインターがあります。 In the previous post we 平らになった リンクされたリスト レベル的に。 常に処理する必要がある場合にリンクリストをフラット化する方法 ダウンポインタ すべてのノードで次の前に。

目次

[想定されるアプローチ] 再帰を使用する - O(n) 時間と O(n) 空間

アプローチは次のとおりです 再帰的に 平らにする マルチレベルリンク 各ノードとその子ノードを走査してリストを作成します。初め 子リストをフラット化する 再帰を使用します。子リストがフラット化されたら、次の手順に進みます。 次のノード シーケンスで。トラバース中に、 参照 以前に訪問したノード そしてそれを現在のノードにリンクします。このプロセスにより、さまざまなレベルのすべてのノードが確実に接続されます。 単一の線形リスト を保存しながら、 深さ方向の順序。

C++
   // A C++ program to flatten a multi-   // linked list depth-wise   #include          using     namespace     std  ;   class     Node     {      public  :      int     data  ;      Node     *  next  ;      Node     *  down  ;      Node  (  int     x  )     {      data     =     x  ;      next     =     down     =     nullptr  ;      }   };   void     flattenList  (  Node     *  curr       Node     *&  prev  )     {      if     (  curr     ==     nullptr  )      return  ;      // Add the current element to the list.      if     (  prev     !=     nullptr  )      prev  ->  next     =     curr  ;      prev     =     curr  ;      // Store the next pointer      Node     *  next     =     curr  ->  next  ;      // Recursively add the bottom list      flattenList  (  curr  ->  down       prev  );      // Recursively add the next list      flattenList  (  next       prev  );   }   void     printList  (  Node     *  head  )     {      Node     *  curr     =     head  ;      while     (  curr     !=     nullptr  )     {      cout      < <     curr  ->  data      < <     ' '  ;      curr     =     curr  ->  next  ;      }      cout      < <     endl  ;   }   int     main  ()     {      // Create a hard coded multi-linked list.      // 5 -> 10 -> 19 -> 28      // | |      // 7 22      // | |      // 8 50      // |      // 30      Node     *  head     =     new     Node  (  5  );      head  ->  down     =     new     Node  (  7  );      head  ->  down  ->  down     =     new     Node  (  8  );      head  ->  down  ->  down  ->  down     =     new     Node  (  30  );      head  ->  next     =     new     Node  (  10  );      head  ->  next  ->  next     =     new     Node  (  19  );      head  ->  next  ->  next  ->  down     =     new     Node  (  22  );      head  ->  next  ->  next  ->  down  ->  down     =     new     Node  (  50  );      head  ->  next  ->  next  ->  next     =     new     Node  (  28  );      Node     *  prev     =     nullptr  ;      flattenList  (  head       prev  );      printList  (  head  );      return     0  ;   }   
Java
   // A Java program to flatten a multi-   // linked list depth-wise   class   Node     {      int     data  ;      Node     next       down  ;      Node  (  int     x  )     {      data     =     x  ;      next     =     down     =     null  ;      }   }   class   GfG     {          static     void     flattenList  (  Node     curr       Node  []     prev  )     {      if     (  curr     ==     null  )      return  ;      // Add the current element to the list.      if     (  prev  [  0  ]     !=     null  )      prev  [  0  ]  .  next     =     curr  ;      prev  [  0  ]     =     curr  ;      // Store the next pointer      Node     next     =     curr  .  next  ;      // Recursively add the bottom list      flattenList  (  curr  .  down       prev  );      // Recursively add the next list      flattenList  (  next       prev  );      }      static     void     printList  (  Node     head  )     {      Node     curr     =     head  ;      while     (  curr     !=     null  )     {      System  .  out  .  print  (  curr  .  data     +     ' '  );      curr     =     curr  .  next  ;      }      System  .  out  .  println  ();      }      public     static     void     main  (  String  []     args  )     {          // Create a hard coded multi-linked list.      // 5 -> 10 -> 19 -> 28      // | |      // 7 22      // | |      // 8 50      // |      // 30      Node     head     =     new     Node  (  5  );      head  .  down     =     new     Node  (  7  );      head  .  down  .  down     =     new     Node  (  8  );      head  .  down  .  down  .  down     =     new     Node  (  30  );      head  .  next     =     new     Node  (  10  );      head  .  next  .  next     =     new     Node  (  19  );      head  .  next  .  next  .  down     =     new     Node  (  22  );      head  .  next  .  next  .  down  .  down     =     new     Node  (  50  );      head  .  next  .  next  .  next     =     new     Node  (  28  );      Node  []     prev     =     new     Node  [  1  ]  ;      flattenList  (  head       prev  );      printList  (  head  );      }   }   
Python
   # A Python program to flatten a multi-   # linked list depth-wise   class   Node  :   def   __init__  (  self     x  ):   self  .  data   =   x   self  .  next   =   None   self  .  down   =   None   def   flatten_list  (  curr     prev  ):   if   curr   is   None  :   return   # Add the current element to the list.   if   prev  [  0  ]   is   not   None  :   prev  [  0  ]  .  next   =   curr   prev  [  0  ]   =   curr   # Store the next pointer   next_node   =   curr  .  next   # Recursively add the bottom list   flatten_list  (  curr  .  down     prev  )   # Recursively add the next list   flatten_list  (  next_node     prev  )   def   print_list  (  head  ):   curr   =   head   while   curr   is   not   None  :   print  (  curr  .  data     end  =  ' '  )   curr   =   curr  .  next   print  ()   if   __name__   ==   '__main__'  :   # Create a hard coded multi-linked list.   # 5 -> 10 -> 19 -> 28   # | |   # 7 22   # | |   # 8 50   # |   # 30   head   =   Node  (  5  )   head  .  down   =   Node  (  7  )   head  .  down  .  down   =   Node  (  8  )   head  .  down  .  down  .  down   =   Node  (  30  )   head  .  next   =   Node  (  10  )   head  .  next  .  next   =   Node  (  19  )   head  .  next  .  next  .  down   =   Node  (  22  )   head  .  next  .  next  .  down  .  down   =   Node  (  50  )   head  .  next  .  next  .  next   =   Node  (  28  )   prev   =   [  None  ]   flatten_list  (  head     prev  )   print_list  (  head  )   
C#
   // A C# program to flatten a multi-   // linked list depth-wise   using     System  ;   class     Node     {      public     int     data  ;      public     Node     next       down  ;      public     Node  (  int     x  )     {      data     =     x  ;      next     =     down     =     null  ;      }   }   class     GfG     {      static     void     FlattenList  (  Node     curr       ref     Node     prev  )     {      if     (  curr     ==     null  )      return  ;      // Add the current element to the list.      if     (  prev     !=     null  )      prev  .  next     =     curr  ;      prev     =     curr  ;      // Store the next pointer      Node     next     =     curr  .  next  ;      // Recursively add the bottom list      FlattenList  (  curr  .  down       ref     prev  );      // Recursively add the next list      FlattenList  (  next       ref     prev  );      }      static     void     PrintList  (  Node     head  )     {      Node     curr     =     head  ;      while     (  curr     !=     null  )     {      Console  .  Write  (  curr  .  data     +     ' '  );      curr     =     curr  .  next  ;      }      Console  .  WriteLine  ();      }      static     void     Main  (  string  []     args  )     {      // Create a hard coded multi-linked list.      // 5 -> 10 -> 19 -> 28      // | |      // 7 22      // | |      // 8 50      // |      // 30      Node     head     =     new     Node  (  5  );      head  .  down     =     new     Node  (  7  );      head  .  down  .  down     =     new     Node  (  8  );      head  .  down  .  down  .  down     =     new     Node  (  30  );      head  .  next     =     new     Node  (  10  );      head  .  next  .  next     =     new     Node  (  19  );      head  .  next  .  next  .  down     =     new     Node  (  22  );      head  .  next  .  next  .  down  .  down     =     new     Node  (  50  );      head  .  next  .  next  .  next     =     new     Node  (  28  );      Node     prev     =     null  ;      FlattenList  (  head       ref     prev  );      PrintList  (  head  );      }   }   
JavaScript
   // A Javascript program to flatten a multi-   // linked list depth-wise   class     Node     {      constructor  (  x  )     {      this  .  data     =     x  ;      this  .  next     =     null  ;      this  .  down     =     null  ;      }   }   function     flattenList  (  curr       prev  )     {      if     (  curr     ===     null  )     return  ;      // Add the current element to the list.      if     (  prev  [  0  ]     !==     null  )     prev  [  0  ].  next     =     curr  ;      prev  [  0  ]     =     curr  ;      // Store the next pointer      let     next     =     curr  .  next  ;      // Recursively add the bottom list      flattenList  (  curr  .  down       prev  );      // Recursively add the next list      flattenList  (  next       prev  );   }   function     printList  (  head  )     {      let     curr     =     head  ;      while     (  curr     !==     null  )     {      console  .  log  (  curr  .  data  );      curr     =     curr  .  next  ;      }   }   // Create a hard coded multi-linked list.   // 5 -> 10 -> 19 -> 28   // | |   // 7 22   // | |   // 8 50   // |   // 30   let     head     =     new     Node  (  5  );   head  .  down     =     new     Node  (  7  );   head  .  down  .  down     =     new     Node  (  8  );   head  .  down  .  down  .  down     =     new     Node  (  30  );   head  .  next     =     new     Node  (  10  );   head  .  next  .  next     =     new     Node  (  19  );   head  .  next  .  next  .  down     =     new     Node  (  22  );   head  .  next  .  next  .  down  .  down     =     new     Node  (  50  );   head  .  next  .  next  .  next     =     new     Node  (  28  );   let     prev     =     [  null  ];   flattenList  (  head       prev  );   printList  (  head  );   

出力
5 7 8 30 10 19 22 50 28  

[代替アプローチ] スタックの使用 - O(n) 時間と O(n) スペース

アプローチは、 を使用して スタック 。開始方法 押す ヘッドノード スタックに。それから、 スタックが空ではありません ポップ 最上位ノードを削除して処理します。各ノードについて 押す その 次へおよび下へのポインター (存在する場合) スタックに追加します。このプロセス中に 現在のノードを前のノードにリンクします リストをフラット化された形式で維持します。トラバーサルにより、すべてのレベルのノードが確実に接続されます。 単一レベルのリンクされたリスト 深さ方向の順序を維持します。

C++
   // A C++ program to flatten a multi-   // linked list depth-wise using stack   #include          using     namespace     std  ;   class     Node     {      public  :      int     data  ;      Node     *  next  ;      Node     *  down  ;      Node  (  int     x  )     {      data     =     x  ;      next     =     down     =     nullptr  ;      }   };   void     flattenList  (  Node     *  head  )     {      if     (  head     ==     nullptr  )      return  ;      stack   <  Node     *>     st  ;      st  .  push  (  head  );      Node     *  prev     =     nullptr  ;      while     (  !  st  .  empty  ())     {      Node     *  curr     =     st  .  top  ();      st  .  pop  ();      // Push the next node first      if     (  curr  ->  next     !=     nullptr  )      st  .  push  (  curr  ->  next  );      // Push the bottom node into stack      if     (  curr  ->  down     !=     nullptr  )      st  .  push  (  curr  ->  down  );      // Add the current element to the list      if     (  prev     !=     nullptr  )      prev  ->  next     =     curr  ;      prev     =     curr  ;      }   }   void     printList  (  Node     *  head  )     {      Node     *  curr     =     head  ;      while     (  curr     !=     nullptr  )     {      cout      < <     curr  ->  data      < <     ' '  ;      curr     =     curr  ->  next  ;      }      cout      < <     endl  ;   }   int     main  ()     {      // Create a hard coded multi-linked list.      // 5 -> 10 -> 19 -> 28      // | |      // 7 22      // | |      // 8 50      // |      // 30      Node     *  head     =     new     Node  (  5  );      head  ->  down     =     new     Node  (  7  );      head  ->  down  ->  down     =     new     Node  (  8  );      head  ->  down  ->  down  ->  down     =     new     Node  (  30  );      head  ->  next     =     new     Node  (  10  );      head  ->  next  ->  next     =     new     Node  (  19  );      head  ->  next  ->  next  ->  down     =     new     Node  (  22  );      head  ->  next  ->  next  ->  down  ->  down     =     new     Node  (  50  );      head  ->  next  ->  next  ->  next     =     new     Node  (  28  );      flattenList  (  head  );      printList  (  head  );      return     0  ;   }   
Java
   // A Java program to flatten a multi-   // linked list depth-wise using stack   import     java.util.Stack  ;   class   Node     {      int     data  ;      Node     next       down  ;      Node  (  int     x  )     {      data     =     x  ;      next     =     down     =     null  ;      }   }   class   GfG     {      static     void     flattenList  (  Node     head  )     {      if     (  head     ==     null  )      return  ;      Stack   <  Node  >     stack     =     new     Stack   <>  ();      stack  .  push  (  head  );      Node     prev     =     null  ;      while     (  !  stack  .  isEmpty  ())     {      Node     curr     =     stack  .  pop  ();      // Push the next node first      if     (  curr  .  next     !=     null  )      stack  .  push  (  curr  .  next  );      // Push the bottom node into stack      if     (  curr  .  down     !=     null  )      stack  .  push  (  curr  .  down  );      // Add the current element to the list      if     (  prev     !=     null  )      prev  .  next     =     curr  ;      prev     =     curr  ;      }      }      static     void     printList  (  Node     head  )     {      Node     curr     =     head  ;      while     (  curr     !=     null  )     {      System  .  out  .  print  (  curr  .  data     +     ' '  );      curr     =     curr  .  next  ;      }      System  .  out  .  println  ();      }      public     static     void     main  (  String  []     args  )     {      // Create a hard coded multi-linked list.      // 5 -> 10 -> 19 -> 28      // | |      // 7 22      // | |      // 8 50      // |      // 30      Node     head     =     new     Node  (  5  );      head  .  down     =     new     Node  (  7  );      head  .  down  .  down     =     new     Node  (  8  );      head  .  down  .  down  .  down     =     new     Node  (  30  );      head  .  next     =     new     Node  (  10  );      head  .  next  .  next     =     new     Node  (  19  );      head  .  next  .  next  .  down     =     new     Node  (  22  );      head  .  next  .  next  .  down  .  down     =     new     Node  (  50  );      head  .  next  .  next  .  next     =     new     Node  (  28  );      flattenList  (  head  );      printList  (  head  );      }   }   
Python
   # A Python program to flatten a multi-   # linked list depth-wise using stack   class   Node  :   def   __init__  (  self     x  ):   self  .  data   =   x   self  .  next   =   None   self  .  down   =   None   def   flatten_list  (  head  ):   if   head   is   None  :   return   stack   =   [  head  ]   prev   =   None   while   stack  :   curr   =   stack  .  pop  ()   # Push the next node first   if   curr  .  next  :   stack  .  append  (  curr  .  next  )   # Push the bottom node into stack   if   curr  .  down  :   stack  .  append  (  curr  .  down  )   # Add the current element to the list   if   prev  :   prev  .  next   =   curr   prev   =   curr   def   print_list  (  head  ):   curr   =   head   while   curr  :   print  (  curr  .  data     end  =  ' '  )   curr   =   curr  .  next   print  ()   if   __name__   ==   '__main__'  :   # Create a hard coded multi-linked list.   # 5 -> 10 -> 19 -> 28   # | |   # 7 22   # | |   # 8 50   # |   # 30   head   =   Node  (  5  )   head  .  down   =   Node  (  7  )   head  .  down  .  down   =   Node  (  8  )   head  .  down  .  down  .  down   =   Node  (  30  )   head  .  next   =   Node  (  10  )   head  .  next  .  next   =   Node  (  19  )   head  .  next  .  next  .  down   =   Node  (  22  )   head  .  next  .  next  .  down  .  down   =   Node  (  50  )   head  .  next  .  next  .  next   =   Node  (  28  )   flatten_list  (  head  )   print_list  (  head  )   
C#
   // A C# program to flatten a multi-   // linked list depth-wise using stack   using     System  ;   using     System.Collections.Generic  ;   class     Node     {      public     int     data  ;      public     Node     next       down  ;      public     Node  (  int     x  )     {      data     =     x  ;      next     =     down     =     null  ;      }   }   class     GfG     {      static     void     FlattenList  (  Node     head  )     {      if     (  head     ==     null  )      return  ;      Stack   <  Node  >     stack     =     new     Stack   <  Node  >  ();      stack  .  Push  (  head  );      Node     prev     =     null  ;      while     (  stack  .  Count     >     0  )     {      Node     curr     =     stack  .  Pop  ();      // Push the next node first      if     (  curr  .  next     !=     null  )      stack  .  Push  (  curr  .  next  );      // Push the bottom node into stack      if     (  curr  .  down     !=     null  )      stack  .  Push  (  curr  .  down  );      // Add the current element to the list      if     (  prev     !=     null  )      prev  .  next     =     curr  ;      prev     =     curr  ;      }      }      static     void     PrintList  (  Node     head  )     {      Node     curr     =     head  ;      while     (  curr     !=     null  )     {      Console  .  Write  (  curr  .  data     +     ' '  );      curr     =     curr  .  next  ;      }      Console  .  WriteLine  ();      }      static     void     Main  (  string  []     args  )     {          // Create a hard coded multi-linked list.      // 5 -> 10 -> 19 -> 28      // | |      // 7 22      // | |      // 8 50      // |      // 30      Node     head     =     new     Node  (  5  );      head  .  down     =     new     Node  (  7  );      head  .  down  .  down     =     new     Node  (  8  );      head  .  down  .  down  .  down     =     new     Node  (  30  );      head  .  next     =     new     Node  (  10  );      head  .  next  .  next     =     new     Node  (  19  );      head  .  next  .  next  .  down     =     new     Node  (  22  );      head  .  next  .  next  .  down  .  down     =     new     Node  (  50  );      head  .  next  .  next  .  next     =     new     Node  (  28  );          FlattenList  (  head  );      PrintList  (  head  );      }   }   
JavaScript
   // A Javascript program to flatten a multi-   // linked list depth-wise using stack   class     Node     {      constructor  (  x  )     {      this  .  data     =     x  ;      this  .  next     =     null  ;      this  .  down     =     null  ;      }   }   function     flattenList  (  head  )     {      if     (  head     ===     null  )     return  ;      let     stack     =     [  head  ];      let     prev     =     null  ;      while     (  stack  .  length     >     0  )     {      let     curr     =     stack  .  pop  ();      // Push the next node first      if     (  curr  .  next     !==     null  )     stack  .  push  (  curr  .  next  );      // Push the bottom node into stack      if     (  curr  .  down     !==     null  )     stack  .  push  (  curr  .  down  );      // Add the current element to the list      if     (  prev     !==     null  )     prev  .  next     =     curr  ;      prev     =     curr  ;      }   }   function     printList  (  head  )     {      let     curr     =     head  ;      while     (  curr     !==     null  )     {      console  .  log  (  curr  .  data  );      curr     =     curr  .  next  ;      }   }   // Create a hard coded multi-linked list.   // 5 -> 10 -> 19 -> 28   // | |   // 7 22   // | |   // 8 50   // |   // 30   let     head     =     new     Node  (  5  );   head  .  down     =     new     Node  (  7  );   head  .  down  .  down     =     new     Node  (  8  );   head  .  down  .  down  .  down     =     new     Node  (  30  );   head  .  next     =     new     Node  (  10  );   head  .  next  .  next     =     new     Node  (  19  );   head  .  next  .  next  .  down     =     new     Node  (  22  );   head  .  next  .  next  .  down  .  down     =     new     Node  (  50  );   head  .  next  .  next  .  next     =     new     Node  (  28  );   flattenList  (  head  );   printList  (  head  );   

出力
5 7 8 30 10 19 22 50 28