Litistä monitasoinen linkitetty luettelo (syvyyden mukaan)

Litistä monitasoinen linkitetty luettelo (syvyyden mukaan)

Annettu linkitetty luettelo, jossa lisäksi  seuraavaksi  osoitin jokaisessa solmussa on a  lapsi  osoitin, joka voi osoittaa tai olla osoittamatta erilliseen luetteloon. Näissä lapsiluetteloissa voi olla  yksi tai useampi  omia lapsiaan tuottamaan a  monitasoinen  linkitetty lista. Koska  pää  -lta  ensimmäinen taso  luettelosta. Tehtävänä on  litistää  luettelo niin, että kaikki solmut näkyvät kohdassa a  yksitasoinen  linkitetty lista. Tasoita luettelo siten, että kaikki solmut  ensimmäinen taso  pitäisi tulla  ensimmäinen sitten solmut  toinen  taso ja niin edelleen.

Esimerkkejä:

Syöte:

2_5


Lähtö: 1->4->6->2->5->7->3->8
Selitys: Monitasoinen linkitetty luettelo on litistetty, koska siinä ei ole alaosoittimia.

Olemme keskustelleet monitasoisen linkitetyn luettelon litistäminen jossa solmuissa on kaksi osoitinta alas ja seuraavaksi. Edellisessä postauksessa me litistetty linkitetty lista tasoltaan. Kuinka litistää linkitetty luettelo, kun meidän on aina käsiteltävä osoitin alaspäin ennen seuraavaa jokaisessa solmussa.

Sisällysluettelo

[Odotettu lähestymistapa] Rekursion käyttö - O(n) aika ja O(n) avaruus

Lähestymistapa on rekursiivisesti litistää a monitasoinen linkitetty lista kulkemalla kunkin solmun ja sen alisolmujen läpi. Ensimmäinen litistää lapsiluetteloa käyttämällä rekursiota. Kun lapsiluettelo on litistetty, siirry kohtaan seuraava solmu järjestyksessä. Säilytä ajon aikana a viite kohtaan aiemmin vieraillut solmu ja linkitä se nykyiseen solmuun. Tämä prosessi varmistaa, että kaikki eri tasojen solmut on yhdistetty a yksi lineaarinen luettelo säilyttäen samalla syvyyskohtainen järjestys.

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  );   

Lähtö
5 7 8 30 10 19 22 50 28  

[Vaihtoehtoinen lähestymistapa] Pinon käyttäminen - O(n) aika ja O(n) tila

Lähestymistapa on kulkea läpi monitasoinen linkitetty luettelo käyttämällä a pino . Aloita työntämällä the pääsolmu pinoon. Sitten kun pino ei ole tyhjä pop yläsolmu ja käsittele se. Jokaiselle solmulle Työnnä sen seuraava ja alas osoittimet (jos niitä on) pinoon. Tämän prosessin aikana linkitä nykyinen solmu edelliseen solmuun luettelon säilyttäminen litistetyssä muodossa. Läpikulku varmistaa, että solmut kaikilta tasoilta on yhdistetty a yksitasoinen linkitetty luettelo syvyysjärjestyksen säilyttäminen.

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  );   

Lähtö
5 7 8 30 10 19 22 50 28