Išlyginkite kelių lygių susietą sąrašą (pagal gylį)

Išlyginkite kelių lygių susietą sąrašą (pagal gylį)

Pateiktas susietas sąrašas, kuriame, be  kitas  kiekvienas mazgas turi a  vaikas  žymeklį, kuris gali nukreipti arba nenurodyti į atskirą sąrašą. Šie vaikų sąrašai gali turėti  vieną ar daugiau  savo vaikams gaminti a  daugiapakopis  susietas sąrašas. Atsižvelgiant į  galva  iš  pirmas lygis  sąrašo. Užduotis yra  išlyginti  sąrašą, kad visi mazgai būtų rodomi a  vieno lygio  susietas sąrašas. Išlyginkite sąrašą taip, kad visi mazgai  pirmas lygis  turėtų ateiti  pirma tada mazgai  antra  lygis ir pan.

Pavyzdžiai:

Įvestis:

2_5


Išvestis: 1->4->6->2->5->7->3->8
Paaiškinimas: Daugiapakopis susietas sąrašas yra išlygintas, nes jame nėra antrinių nuorodų.

Mes aptarėme kelių lygių susieto sąrašo išlyginimas kur mazgai turi dvi rodykles žemyn ir toliau. Ankstesniame įraše mes suplota susietą sąrašą lygiai išmintingai. Kaip išlyginti susietą sąrašą, kai visada turime apdoroti rodyklė žemyn prieš kitą kiekviename mazge.

Turinio lentelė

[Numatomas požiūris] Naudojant rekursiją – O(n) laikas ir O(n) erdvė

Metodas yra rekursyviai išlyginti a kelių lygių susietas sąrašą pereinant kiekvieną mazgą ir jo antrinius mazgus. Pirma išlyginkite vaikų sąrašą naudojant rekursiją. Kai vaikų sąrašas bus išlygintas, pereikite prie kitas mazgas eilėje. Važiavimo metu palaikykite a nuoroda prie anksčiau aplankytas mazgas ir susieti jį su dabartiniu mazgu. Šis procesas užtikrina, kad visi skirtingų lygių mazgai būtų sujungti a vienas linijinis sąrašas išsaugant gylio tvarka.

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  );   

Išvestis
5 7 8 30 10 19 22 50 28  

[Alternatyvus metodas] Naudojant krūvą – O(n) laikas ir O(n) erdvė

Metodas yra kirsti kelių lygių susietas sąrašas naudojant a krūva . Pradėkite nuo stumdymas į galvos mazgas ant kamino. Tada, kol krūva nėra tuščia pop viršutinį mazgą ir jį apdoroti. Kiekvienam mazgui stumti jos kitos ir žemyn nukreiptos rodyklės (jei jie yra) ant kamino. Šio proceso metu susieti dabartinį mazgą su ankstesniu mazgu išlaikant sąrašą suplokšta forma. Perėjimas užtikrina, kad visų lygių mazgai būtų sujungti a vieno lygio susietas sąrašas išsaugant gylio tvarką.

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  );   

Išvestis
5 7 8 30 10 19 22 50 28