Implementar un directori telefònic

Implementar un directori telefònic
Prova-ho a GfG Practice #practiceLinkDiv { mostrar: cap !important; }

Donada una llista de contactes que existeixen en un directori telefònic. La tasca és implementar una consulta de cerca per al directori telefònic. La consulta de cerca en una cadena ' str ' mostra tots els contactes que tenen com a prefix ' str ’. Una propietat especial de la funció de cerca és que quan un usuari cerca un contacte de la llista de contactes, es mostren suggeriments (contactes amb el prefix com a cadena introduïda per) després que l'usuari introdueixi cada caràcter.
Nota: Els contactes de la llista només estan formats per alfabets en minúscula. Exemple:

Input : contacts [] = {gforgeeks  geeksquiz } Query String = gekk Output : Suggestions based on 'g' are geeksquiz gforgeeks Suggestions based on 'ge' are geeksquiz No Results Found for 'gek' No Results Found for 'gekk'  

Recomanat: si us plau, resol-ho PRÀCTICA primer abans de passar a la solució.

El directori telefònic es pot implementar de manera eficient mitjançant Trie Estructura de dades. Inseriu tots els contactes a Trie. En general, la consulta de cerca en un Trie és determinar si la cadena està present o no al trie, però en aquest cas se'ns demana trobar totes les cadenes amb cada prefix de "str". Això equival a fer a Travessia DFS en un gràfic . Des d'un node Trie, visiteu els nodes Trie adjacents i feu-ho de manera recursiva fins que no n'hi hagi més. Aquesta funció recursiva prendrà 2 arguments, un com a Trie Node que apunta al node Trie actual que s'està visitant i l'altre com a cadena que emmagatzema la cadena trobada fins ara amb el prefix "str". Cada node Trie emmagatzema una variable booleana "isLast" que és certa si el node representa el final d'un contacte (paraula).

// This function displays all words with given // prefix. 'node' represents last node when // path from root follows characters of 'prefix'. displayContacts (TreiNode node string prefix) If (node.isLast is true) display prefix // finding adjacent nodes for each character ‘i’ in lower case Alphabets if (node.child[i] != NULL) displayContacts(node.child[i] prefix+i) 

L'usuari introduirà la cadena caràcter per caràcter i hem de mostrar suggeriments amb el prefix format després de cada caràcter introduït. Per tant, un enfocament per trobar el prefix que comenci amb la cadena formada és comprovar si el prefix existeix al Trie, si és així, cridar a la funció displayContacts(). En aquest enfocament després de cada caràcter introduït, comprovem si la cadena existeix al Trie. En lloc de comprovar una i altra vegada podem mantenir un punter prevNode ' que apunta al TrieNode que correspon a l'últim caràcter introduït per l'usuari, ara hem de comprovar el node fill per al 'prevNode' quan l'usuari introdueix un altre caràcter per comprovar si existeix al Trie. Si el nou prefix no es troba al Trie, tampoc no es poden trobar a Trie totes les cadenes que es formen introduint caràcters després de "prefix". Així que trenquem el bucle que s'utilitza per generar prefixos un per un i imprimim "No s'ha trobat cap resultat" per a tots els caràcters restants. 

C++
   // C++ Program to Implement a Phone   // Directory Using Trie Data Structure   #include          using     namespace     std  ;   struct     TrieNode     {      // Each Trie Node contains a Map 'child'      // where each alphabet points to a Trie      // Node.      // We can also use a fixed size array of      // size 256.      unordered_map   <  char       TrieNode  *>     child  ;      // 'isLast' is true if the node represents      // end of a contact      bool     isLast  ;      // Default Constructor      TrieNode  ()      {      // Initialize all the Trie nodes with NULL      for     (  char     i     =     'a'  ;     i      <=     'z'  ;     i  ++  )      child  [  i  ]     =     NULL  ;      isLast     =     false  ;      }   };   // Making root NULL for ease so that it doesn't   // have to be passed to all functions.   TrieNode  *     root     =     NULL  ;   // Insert a Contact into the Trie   void     insert  (  string     s  )   {      int     len     =     s  .  length  ();      // 'itr' is used to iterate the Trie Nodes      TrieNode  *     itr     =     root  ;      for     (  int     i     =     0  ;     i      <     len  ;     i  ++  )     {      // Check if the s[i] is already present in      // Trie      TrieNode  *     nextNode     =     itr  ->  child  [  s  [  i  ]];      if     (  nextNode     ==     NULL  )     {      // If not found then create a new TrieNode      nextNode     =     new     TrieNode  ();      // Insert into the Map      itr  ->  child  [  s  [  i  ]]     =     nextNode  ;      }      // Move the iterator('itr') to point to next      // Trie Node      itr     =     nextNode  ;      // If its the last character of the string 's'      // then mark 'isLast' as true      if     (  i     ==     len     -     1  )      itr  ->  isLast     =     true  ;      }   }   // This function simply displays all dictionary words   // going through current node. String 'prefix'   // represents string corresponding to the path from   // root to curNode.   void     displayContactsUtil  (  TrieNode  *     curNode       string     prefix  )   {      // Check if the string 'prefix' ends at this Node      // If yes then display the string found so far      if     (  curNode  ->  isLast  )      cout      < <     prefix      < <     endl  ;      // Find all the adjacent Nodes to the current      // Node and then call the function recursively      // This is similar to performing DFS on a graph      for     (  char     i     =     'a'  ;     i      <=     'z'  ;     i  ++  )     {      TrieNode  *     nextNode     =     curNode  ->  child  [  i  ];      if     (  nextNode     !=     NULL  )      displayContactsUtil  (  nextNode       prefix     +     (  char  )  i  );      }   }   // Display suggestions after every character enter by   // the user for a given query string 'str'   void     displayContacts  (  string     str  )   {      TrieNode  *     prevNode     =     root  ;      string     prefix     =     ''  ;      int     len     =     str  .  length  ();      // Display the contact List for string formed      // after entering every character      int     i  ;      for     (  i     =     0  ;     i      <     len  ;     i  ++  )     {      // 'prefix' stores the string formed so far      prefix     +=     (  char  )  str  [  i  ];      // Get the last character entered      char     lastChar     =     prefix  [  i  ];      // Find the Node corresponding to the last      // character of 'prefix' which is pointed by      // prevNode of the Trie      TrieNode  *     curNode     =     prevNode  ->  child  [  lastChar  ];      // If nothing found then break the loop as      // no more prefixes are going to be present.      if     (  curNode     ==     NULL  )     {      cout      < <     '  n  No Results Found for '      < <     prefix       < <     '  n  '  ;      i  ++  ;      break  ;      }      // If present in trie then display all      // the contacts with given prefix.      cout      < <     '  n  Suggestions based on '      < <     prefix       < <     'are '  ;      displayContactsUtil  (  curNode       prefix  );      // Change prevNode for next prefix      prevNode     =     curNode  ;      }      // Once search fails for a prefix we print      // 'Not Results Found' for all remaining      // characters of current query string 'str'.      for     (;     i      <     len  ;     i  ++  )     {      prefix     +=     (  char  )  str  [  i  ];      cout      < <     '  n  No Results Found for '      < <     prefix      < <     '  n  '  ;      }   }   // Insert all the Contacts into the Trie   void     insertIntoTrie  (  string     contacts  []     int     n  )   {      // Initialize root Node      root     =     new     TrieNode  ();      // Insert each contact into the trie      for     (  int     i     =     0  ;     i      <     n  ;     i  ++  )      insert  (  contacts  [  i  ]);   }   // Driver program to test above functions   int     main  ()   {      // Contact list of the User      string     contacts  []     =     {     'gforgeeks'       'geeksquiz'     };      // Size of the Contact List      int     n     =     sizeof  (  contacts  )     /     sizeof  (  string  );      // Insert all the Contacts into Trie      insertIntoTrie  (  contacts       n  );      string     query     =     'gekk'  ;      // Note that the user will enter 'g' then 'e' so      // first display all the strings with prefix as 'g'      // and then all the strings with prefix as 'ge'      displayContacts  (  query  );      return     0  ;   }   
Java
   // Java Program to Implement a Phone   // Directory Using Trie Data Structure   import     java.util.*  ;   class   TrieNode   {      // Each Trie Node contains a Map 'child'      // where each alphabet points to a Trie      // Node.      HashMap   <  Character    TrieNode  >     child  ;      // 'isLast' is true if the node represents      // end of a contact      boolean     isLast  ;      // Default Constructor      public     TrieNode  ()      {      child     =     new     HashMap   <  Character    TrieNode  >  ();      // Initialize all the Trie nodes with NULL      for     (  char     i     =     'a'  ;     i      <=     'z'  ;     i  ++  )      child  .  put  (  i    null  );      isLast     =     false  ;      }   }   class   Trie   {      TrieNode     root  ;      // Insert all the Contacts into the Trie      public     void     insertIntoTrie  (  String     contacts  []  )      {      root     =     new     TrieNode  ();      int     n     =     contacts  .  length  ;      for     (  int     i     =     0  ;     i      <     n  ;     i  ++  )      {      insert  (  contacts  [  i  ]  );      }      }      // Insert a Contact into the Trie      public     void     insert  (  String     s  )      {      int     len     =     s  .  length  ();      // 'itr' is used to iterate the Trie Nodes      TrieNode     itr     =     root  ;      for     (  int     i     =     0  ;     i      <     len  ;     i  ++  )      {      // Check if the s[i] is already present in      // Trie      TrieNode     nextNode     =     itr  .  child  .  get  (  s  .  charAt  (  i  ));      if     (  nextNode     ==     null  )      {      // If not found then create a new TrieNode      nextNode     =     new     TrieNode  ();      // Insert into the HashMap      itr  .  child  .  put  (  s  .  charAt  (  i  )  nextNode  );      }      // Move the iterator('itr') to point to next      // Trie Node      itr     =     nextNode  ;      // If its the last character of the string 's'      // then mark 'isLast' as true      if     (  i     ==     len     -     1  )      itr  .  isLast     =     true  ;      }      }      // This function simply displays all dictionary words      // going through current node. String 'prefix'      // represents string corresponding to the path from      // root to curNode.      public     void     displayContactsUtil  (  TrieNode     curNode        String     prefix  )      {      // Check if the string 'prefix' ends at this Node      // If yes then display the string found so far      if     (  curNode  .  isLast  )      System  .  out  .  println  (  prefix  );      // Find all the adjacent Nodes to the current      // Node and then call the function recursively      // This is similar to performing DFS on a graph      for     (  char     i     =     'a'  ;     i      <=     'z'  ;     i  ++  )      {      TrieNode     nextNode     =     curNode  .  child  .  get  (  i  );      if     (  nextNode     !=     null  )      {      displayContactsUtil  (  nextNode       prefix     +     i  );      }      }      }      // Display suggestions after every character enter by      // the user for a given string 'str'      void     displayContacts  (  String     str  )      {      TrieNode     prevNode     =     root  ;      // 'flag' denotes whether the string entered      // so far is present in the Contact List      String     prefix     =     ''  ;      int     len     =     str  .  length  ();      // Display the contact List for string formed      // after entering every character      int     i  ;      for     (  i     =     0  ;     i      <     len  ;     i  ++  )      {      // 'str' stores the string entered so far      prefix     +=     str  .  charAt  (  i  );      // Get the last character entered      char     lastChar     =     prefix  .  charAt  (  i  );      // Find the Node corresponding to the last      // character of 'str' which is pointed by      // prevNode of the Trie      TrieNode     curNode     =     prevNode  .  child  .  get  (  lastChar  );      // If nothing found then break the loop as      // no more prefixes are going to be present.      if     (  curNode     ==     null  )      {      System  .  out  .  println  (  'nNo Results Found for '      +     prefix  );      i  ++  ;      break  ;      }      // If present in trie then display all      // the contacts with given prefix.      System  .  out  .  println  (  'nSuggestions based on '      +     prefix     +     ' are '  );      displayContactsUtil  (  curNode       prefix  );      // Change prevNode for next prefix      prevNode     =     curNode  ;      }      for     (     ;     i      <     len  ;     i  ++  )      {      prefix     +=     str  .  charAt  (  i  );      System  .  out  .  println  (  'nNo Results Found for '      +     prefix  );      }      }   }   // Driver code   class   Main   {      public     static     void     main  (  String     args  []  )      {      Trie     trie     =     new     Trie  ();      String     contacts     []     =     {  'gforgeeks'       'geeksquiz'  };      trie  .  insertIntoTrie  (  contacts  );      String     query     =     'gekk'  ;      // Note that the user will enter 'g' then 'e' so      // first display all the strings with prefix as 'g'      // and then all the strings with prefix as 'ge'      trie  .  displayContacts  (  query  );      }   }   
Python3
   # Python Program to Implement a Phone   # Directory Using Trie Data Structure   class   TrieNode  :   def   __init__  (  self  ):   # Each Trie Node contains a Map 'child'   # where each alphabet points to a Trie   # Node.   self  .  child   =   {}   self  .  is_last   =   False   # Making root NULL for ease so that it doesn't   # have to be passed to all functions.   root   =   TrieNode  ()   # Insert a Contact into the Trie   def   insert  (  string  ):   # 'itr' is used to iterate the Trie Nodes   itr   =   root   for   char   in   string  :   # Check if the s[i] is already present in   # Trie   if   char   not   in   itr  .  child  :   # If not found then create a new TrieNode   itr  .  child  [  char  ]   =   TrieNode  ()   # Move the iterator('itr') to point to next   # Trie Node   itr   =   itr  .  child  [  char  ]   # If its the last character of the string 's'   # then mark 'isLast' as true   itr  .  is_last   =   True   # This function simply displays all dictionary words   # going through current node. String 'prefix'   # represents string corresponding to the path from   # root to curNode.   def   display_contacts_util  (  cur_node     prefix  ):   # Check if the string 'prefix' ends at this Node   # If yes then display the string found so far   if   cur_node  .  is_last  :   print  (  prefix  )   # Find all the adjacent Nodes to the current   # Node and then call the function recursively   # This is similar to performing DFS on a graph   for   i   in   range  (  ord  (  'a'  )   ord  (  'z'  )   +   1  ):   char   =   chr  (  i  )   next_node   =   cur_node  .  child  .  get  (  char  )   if   next_node  :   display_contacts_util  (  next_node     prefix   +   char  )   # Display suggestions after every character enter by   # the user for a given query string 'str'   def   displayContacts  (  string  ):   prev_node   =   root   prefix   =   ''   # Display the contact List for string formed   # after entering every character   for   i     char   in   enumerate  (  string  ):   # 'prefix' stores the string formed so far   prefix   +=   char   # Find the Node corresponding to the last   # character of 'prefix' which is pointed by   # prevNode of the Trie   cur_node   =   prev_node  .  child  .  get  (  char  )   # If nothing found then break the loop as   # no more prefixes are going to be present.   if   not   cur_node  :   print  (  f  'No Results Found for   {  prefix  }  n  '  )   break   # If present in trie then display all   # the contacts with given prefix.   print  (  f  'Suggestions based on   {  prefix  }   are '    end  =  ' '  )   display_contacts_util  (  cur_node     prefix  )   print  ()   # Change prevNode for next prefix   prev_node   =   cur_node   # Once search fails for a prefix we print   # 'Not Results Found' for all remaining   # characters of current query string 'str'.   for   char   in   string  [  i  +  1  :]:   prefix   +=   char   print  (  f  'No Results Found for   {  prefix  }  n  '  )   # Insert all the Contacts into the Trie   def   insertIntoTrie  (  contacts  ):   # Insert each contact into the trie   for   contact   in   contacts  :   insert  (  contact  )   # Driver program to test above functions   # Contact list of the User    contacts  =  [  'gforgeeks'    'geeksquiz'  ]   # Size of the Contact List   n  =  len  (  contacts  )   # Insert all the Contacts into Trie   insertIntoTrie  (  contacts  )   query   =   'gekk'   # Note that the user will enter 'g' then 'e' so   # first display all the strings with prefix as 'g'   # and then all the strings with prefix as 'ge'   displayContacts  (  query  )   # This code is contributed by Aman Kumar   
C#
   // C# Program to Implement a Phone    // Directory Using Trie Data Structure    using     System  ;   using     System.Collections.Generic  ;   class     TrieNode      {         // Each Trie Node contains a Map 'child'       // where each alphabet points to a Trie       // Node.       public     Dictionary   <  char       TrieNode  >     child  ;         // 'isLast' is true if the node represents       // end of a contact       public     bool     isLast  ;         // Default Constructor       public     TrieNode  ()         {         child     =     new     Dictionary   <  char       TrieNode  >  ();         // Initialize all the Trie nodes with NULL       for     (  char     i     =     'a'  ;     i      <=     'z'  ;     i  ++  )         child  .  Add  (  i       null  );         isLast     =     false  ;         }      }      class     Trie      {         public     TrieNode     root  ;         // Insert all the Contacts into the Trie       public     void     insertIntoTrie  (  String     []  contacts  )         {         root     =     new     TrieNode  ();         int     n     =     contacts  .  Length  ;         for     (  int     i     =     0  ;     i      <     n  ;     i  ++  )         {         insert  (  contacts  [  i  ]);         }         }         // Insert a Contact into the Trie       public     void     insert  (  String     s  )         {         int     len     =     s  .  Length  ;         // 'itr' is used to iterate the Trie Nodes       TrieNode     itr     =     root  ;         for     (  int     i     =     0  ;     i      <     len  ;     i  ++  )         {         // Check if the s[i] is already present in       // Trie       TrieNode     nextNode     =     itr  .  child  [  s  [  i  ]];         if     (  nextNode     ==     null  )         {         // If not found then create a new TrieNode       nextNode     =     new     TrieNode  ();         // Insert into the Dictionary       if  (  itr  .  child  .  ContainsKey  (  s  [  i  ]))      itr  .  child  [  s  [  i  ]]     =     nextNode  ;         else      itr  .  child  .  Add  (  s  [  i  ]     nextNode  );         }         // Move the iterator('itr') to point to next       // Trie Node       itr     =     nextNode  ;         // If its the last character of the string 's'       // then mark 'isLast' as true       if     (  i     ==     len     -     1  )         itr  .  isLast     =     true  ;         }         }         // This function simply displays all dictionary words       // going through current node. String 'prefix'       // represents string corresponding to the path from       // root to curNode.       public     void     displayContactsUtil  (  TrieNode     curNode           String     prefix  )         {         // Check if the string 'prefix' ends at this Node       // If yes then display the string found so far       if     (  curNode  .  isLast  )         Console  .  WriteLine  (  prefix  );         // Find all the adjacent Nodes to the current       // Node and then call the function recursively       // This is similar to performing DFS on a graph       for     (  char     i     =     'a'  ;     i      <=     'z'  ;     i  ++  )         {         TrieNode     nextNode     =     curNode  .  child  [  i  ];         if     (  nextNode     !=     null  )         {         displayContactsUtil  (  nextNode       prefix     +     i  );         }         }         }         // Display suggestions after every character enter by       // the user for a given string 'str'       public     void     displayContacts  (  String     str  )         {         TrieNode     prevNode     =     root  ;         // 'flag' denotes whether the string entered       // so far is present in the Contact List       String     prefix     =     ''  ;         int     len     =     str  .  Length  ;         // Display the contact List for string formed       // after entering every character       int     i  ;         for     (  i     =     0  ;     i      <     len  ;     i  ++  )         {         // 'str' stores the string entered so far       prefix     +=     str  [  i  ];         // Get the last character entered       char     lastChar     =     prefix  [  i  ];         // Find the Node corresponding to the last       // character of 'str' which is pointed by       // prevNode of the Trie       TrieNode     curNode     =     prevNode  .  child  [  lastChar  ];         // If nothing found then break the loop as       // no more prefixes are going to be present.       if     (  curNode     ==     null  )         {         Console  .  WriteLine  (  'nNo Results Found for '      +     prefix  );         i  ++  ;         break  ;         }         // If present in trie then display all       // the contacts with given prefix.       Console  .  WriteLine  (  'nSuggestions based on '         +     prefix     +     ' are '  );         displayContactsUtil  (  curNode       prefix  );         // Change prevNode for next prefix       prevNode     =     curNode  ;         }         for     (     ;     i      <     len  ;     i  ++  )         {         prefix     +=     str  [  i  ];         Console  .  WriteLine  (  'nNo Results Found for '      +     prefix  );         }         }      }      // Driver code    public     class     GFG      {         public     static     void     Main  (  String     []  args  )         {         Trie     trie     =     new     Trie  ();         String     []  contacts     =     {  'gforgeeks'       'geeksquiz'  };         trie  .  insertIntoTrie  (  contacts  );         String     query     =     'gekk'  ;         // Note that the user will enter 'g' then 'e' so       // first display all the strings with prefix as 'g'       // and then all the strings with prefix as 'ge'       trie  .  displayContacts  (  query  );         }      }      // This code is contributed by PrinciRaj1992   
JavaScript
    <  script  >      // Javascript Program to Implement a Phone      // Directory Using Trie Data Structure      class     TrieNode     {      constructor  ()     {      // Each Trie Node contains a Map 'child'      // where each alphabet points to a Trie      // Node.      // We can also use a fixed size array of      // size 256.      this  .  child     =     {};      // 'isLast' is true if the node represents      // end of a contact      this  .  isLast     =     false  ;      }      }      // Making root NULL for ease so that it doesn't      // have to be passed to all functions.      let     root     =     null  ;          // Insert a Contact into the Trie      function     insert  (  s  )     {      const     len     =     s  .  length  ;      // 'itr' is used to iterate the Trie Nodes      let     itr     =     root  ;      for     (  let     i     =     0  ;     i      <     len  ;     i  ++  )     {      // Check if the s[i] is already present in      // Trie      const     char     =     s  [  i  ];      let     nextNode     =     itr  .  child  [  char  ];      if     (  nextNode     ===     undefined  )     {      // If not found then create a new TrieNode      nextNode     =     new     TrieNode  ();      // Insert into the Map      itr  .  child  [  char  ]     =     nextNode  ;      }      // Move the iterator('itr') to point to next      // Trie Node      itr     =     nextNode  ;      // If its the last character of the string 's'      // then mark 'isLast' as true      if     (  i     ===     len     -     1  )     {      itr  .  isLast     =     true  ;      }      }      }          // This function simply displays all dictionary words      // going through current node. String 'prefix'      // represents string corresponding to the path from      // root to curNode.      function     displayContactsUtil  (  curNode       prefix  )     {      // Check if the string 'prefix' ends at this Node      // If yes then display the string found so far      if     (  curNode  .  isLast  )     {      document  .  write  (  prefix  +  '  
'
); } // Find all the adjacent Nodes to the current // Node and then call the function recursively // This is similar to performing DFS on a graph for ( let i = 97 ; i <= 122 ; i ++ ) { const char = String . fromCharCode ( i ); const nextNode = curNode . child [ char ]; if ( nextNode !== undefined ) { displayContactsUtil ( nextNode prefix + char ); } } } // Display suggestions after every character enter by // the user for a given query string 'str' function displayContacts ( str ) { let prevNode = root ; let prefix = '' ; const len = str . length ; // Display the contact List for string formed // after entering every character let i ; for ( i = 0 ; i < len ; i ++ ) { // 'prefix' stores the string formed so far prefix += str [ i ]; // Get the last character entered const lastChar = prefix [ i ]; // Find the Node corresponding to the last // character of 'prefix' which is pointed by // prevNode of the Trie const curNode = prevNode . child [ lastChar ]; // If nothing found then break the loop as // no more prefixes are going to be present. if ( curNode === undefined ) { document . write ( `No Results Found for ${ prefix } ` + '
'
); i ++ ; break ; } // If present in trie then display all // the contacts with given prefix. document . write ( `Suggestions based on ${ prefix } are ` ); displayContactsUtil ( curNode prefix ); document . write ( '
'
); // Change prevNode for next prefix prevNode = curNode ; } document . write ( '
'
); // Once search fails for a prefix we print // 'Not Results Found' for all remaining // characters of current query string 'str'. for (; i < len ; i ++ ) { prefix += str [ i ]; document . write ( 'No Results Found for ' + prefix + '
'
); } } // Insert all the Contacts into the Trie function insertIntoTrie ( contacts ) { // Initialize root Node root = new TrieNode (); const n = contacts . length ; // Insert each contact into the trie for ( let i = 0 ; i < n ; i ++ ) { insert ( contacts [ i ]); } } // Driver program to test above functions // Contact list of the User const contacts = [ 'gforgeeks' 'geeksquiz' ]; //Insert all the Contacts into Trie insertIntoTrie ( contacts ); const query = 'gekk' ; // Note that the user will enter 'g' then 'e' so // first display all the strings with prefix as 'g' // and then all the strings with prefix as 'ge' displayContacts ( query ); // This code is contributed by Utkarsh Kumar. < /script>

Sortida
Suggestions based on gare geeksquiz gforgeeks Suggestions based on geare geeksquiz No Results Found for gek No Results Found for gekk 

Complexitat temporal: O(n*m) on n és el nombre de contactes i m és la longitud màxima d'una cadena de contactes.
Espai auxiliar: O(n*m)