Klone en udirigert graf
Prøv det på GfG Practice 
Produksjon
Produksjon
Gitt en tilkoblet urettet graf representert ved tilknytningsliste adjList[][] med n m kanter med hver node som har en distinkt merkelapp fra 0 til n-1 og hver adj[i] representerer listen over toppunkter koblet til toppunkt i.
Opprett en klone av grafen der hver node i grafen inneholder et heltall val og en matrise ( naboer ) av noder som inneholder noder som er ved siden av gjeldende node.
klasse Node {
val: heltall
naboer: Liste[Node]
}
Din oppgave er å klone den gitte grafen og returnere en referanse til den klonede grafen.
Note: Hvis du returnerer en korrekt kopi av den gitte grafen, vil utgangen være sann; Hvis ikke kopien er feil, vil den skrives ut falsk.
Eksempler
Inndata: n = 4 adjListe[][] = [[1 2] [0 2] [0 1 3] [2]]
Produksjon: ekte
Forklaring:
Siden den klonede grafen er identisk med originalen, vil utgangen være sann.Inndata: n = 3 adjListe[][] = [[1 2] [0] [0]]
Produksjon: ekte
Forklaring:
Siden den klonede grafen er identisk med originalen, vil utgangen være sann.
Innholdsfortegnelse
- Hvorfor må vi spore de besøkte/klonede nodene?
- Hvordan holde styr på de besøkte/klonede nodene?
- Hvordan koble til klone noder?
- Hvordan verifisere om den klonede grafen er riktig?
- [Tilnærming 1] Bruke BFS-traversal - O(V+E) Tid og O(V) Space
- [Tilnærming 2] Bruke DFS-traversal - O(V+E) Tid og O(V) Space
Hvorfor må vi spore de besøkte/klonede nodene?
Vi må spore besøkte eller klonede noder for å unngå uendelig rekursjon og overflødig arbeid ved kloning av en graf. Siden grafer kan inneholde sykluser (der en node kan peke tilbake til en tidligere besøkt node) uten å holde styr på nodene vi allerede har klonet, vil kloningsfunksjonen uendelig gå tilbake til de samme nodene, noe som resulterer i stabeloverflyt eller feil duplisering.
Hvordan holde styr på de besøkte/klonede nodene?
Et HashMap/Map er nødvendig for å opprettholde alle nodene som allerede er opprettet. Nøkkelbutikker : Referanse/adresse til original node Verdibutikker
Hvordan koble til klone noder?
Mens du besøker de nærliggende hjørnene til en node i få den tilsvarende klonet node for deg la oss kalle det I besøk nå alle nabonodene for i og for hver nabo finn den korresponderende klonenoden (hvis den ikke finnes, opprette en) og skyv deretter inn i nabovektoren til I node.
Hvordan verifisere om den klonede grafen er riktig?
Utfør en BFS-traversering på den originale grafen før kloning og deretter igjen på den klonede grafen etter at kloningen er fullført. Skriv ut verdien til hver node sammen med adressen (eller referansen) under hver traversering. For å verifisere riktigheten av kloningen, sammenligne rekkefølgen på noder som er besøkt i begge traverseringene. Hvis nodeverdiene vises i samme rekkefølge, men deres adresser (eller referanser) er forskjellige, bekrefter det at grafen har blitt vellykket og korrekt klonet.
Utforsk hvordan klone en urettet graf inkludert grafer med flere tilkoblede komponenter ved å bruke BFS eller DFS for å sikre en fullstendig dyp kopi av alle noder og kanter.
[Tilnærming 1] Bruke BFS-traversal - O(V+E) Tid og O(V) Space
C++I BFS-tilnærmingen klones grafen iterativt ved å bruke en kø. Vi begynner med å klone den første noden og plassere den i køen. Når vi behandler hver node fra køen besøker vi naboene. Hvis en nabo ikke har blitt klonet ennå, lager vi en klon som lagrer den på et kart og legger den i kø for senere behandling. Vi legger deretter til klonen til naboen til den gjeldende nodens klonliste over naboer. Denne prosessen fortsetter nivå for nivå og sikrer at alle noder besøkes i bredden-første rekkefølge. BFS er spesielt nyttig for å unngå dyp rekursjon og håndtere store eller brede grafer effektivt.
#include #include #include #include using namespace std ; // Definition for a Node struct Node { int val ; vector < Node *> neighbors ; }; // Clone the graph Node * cloneGraph ( Node * node ) { if ( ! node ) return nullptr ; map < Node * Node *> mp ; queue < Node *> q ; // Clone the source node Node * clone = new Node (); clone -> val = node -> val ; mp [ node ] = clone ; q . push ( node ); while ( ! q . empty ()) { Node * u = q . front (); q . pop (); for ( auto neighbor : u -> neighbors ) { // Clone neighbor if not already cloned if ( mp . find ( neighbor ) == mp . end ()) { Node * neighborClone = new Node (); neighborClone -> val = neighbor -> val ; mp [ neighbor ] = neighborClone ; q . push ( neighbor ); } // Link clone of neighbor to clone of current node mp [ u ] -> neighbors . push_back ( mp [ neighbor ]); } } return mp [ node ]; } // Build graph Node * buildGraph () { Node * node1 = new Node (); node1 -> val = 0 ; Node * node2 = new Node (); node2 -> val = 1 ; Node * node3 = new Node (); node3 -> val = 2 ; Node * node4 = new Node (); node4 -> val = 3 ; node1 -> neighbors = { node2 node3 }; node2 -> neighbors = { node1 node3 }; node3 -> neighbors = { node1 node2 node4 }; node4 -> neighbors = { node3 }; return node1 ; } // Compare two graphs for structural and value equality bool compareGraphs ( Node * node1 Node * node2 map < Node * Node *>& visited ) { if ( ! node1 || ! node2 ) return node1 == node2 ; if ( node1 -> val != node2 -> val || node1 == node2 ) return false ; visited [ node1 ] = node2 ; if ( node1 -> neighbors . size () != node2 -> neighbors . size ()) return false ; for ( size_t i = 0 ; i < node1 -> neighbors . size (); ++ i ) { Node * n1 = node1 -> neighbors [ i ]; Node * n2 = node2 -> neighbors [ i ]; if ( visited . count ( n1 )) { if ( visited [ n1 ] != n2 ) return false ; } else { if ( ! compareGraphs ( n1 n2 visited )) return false ; } } return true ; } // Driver Code int main () { Node * original = buildGraph (); Node * cloned = cloneGraph ( original ); map < Node * Node *> visited ; cout < < ( compareGraphs ( original cloned visited ) ? 'true' : 'false' ) < < endl ; return 0 ; }
Java import java.util.* ; // Definition for a Node class Node { public int val ; public ArrayList < Node > neighbors ; public Node () { neighbors = new ArrayList <> (); } public Node ( int val ) { this . val = val ; neighbors = new ArrayList <> (); } } public class GfG { // Clone the graph public static Node cloneGraph ( Node node ) { if ( node == null ) return null ; Map < Node Node > mp = new HashMap <> (); Queue < Node > q = new LinkedList <> (); // Clone the starting node Node clone = new Node ( node . val ); mp . put ( node clone ); q . offer ( node ); while ( ! q . isEmpty ()) { Node current = q . poll (); for ( Node neighbor : current . neighbors ) { // Clone neighbor if it hasn't been cloned yet if ( ! mp . containsKey ( neighbor )) { mp . put ( neighbor new Node ( neighbor . val )); q . offer ( neighbor ); } // Add the clone of the neighbor to the current node's clone mp . get ( current ). neighbors . add ( mp . get ( neighbor )); } } return mp . get ( node ); } // Build graph public static Node buildGraph () { Node node1 = new Node ( 0 ); Node node2 = new Node ( 1 ); Node node3 = new Node ( 2 ); Node node4 = new Node ( 3 ); node1 . neighbors . addAll ( new ArrayList <> ( Arrays . asList ( node2 node3 ))); node2 . neighbors . addAll ( new ArrayList <> ( Arrays . asList ( node1 node3 ))); node3 . neighbors . addAll ( new ArrayList <> ( Arrays . asList ( node1 node2 node4 ))); node4 . neighbors . addAll ( new ArrayList <> ( Arrays . asList ( node3 ))); return node1 ; } // Compare two graphs for structure and value public static boolean compareGraphs ( Node n1 Node n2 HashMap < Node Node > visited ) { if ( n1 == null || n2 == null ) return n1 == n2 ; if ( n1 . val != n2 . val || n1 == n2 ) return false ; visited . put ( n1 n2 ); if ( n1 . neighbors . size () != n2 . neighbors . size ()) return false ; for ( int i = 0 ; i < n1 . neighbors . size (); i ++ ) { Node neighbor1 = n1 . neighbors . get ( i ); Node neighbor2 = n2 . neighbors . get ( i ); if ( visited . containsKey ( neighbor1 )) { if ( visited . get ( neighbor1 ) != neighbor2 ) return false ; } else { if ( ! compareGraphs ( neighbor1 neighbor2 visited )) return false ; } } return true ; } public static void main ( String [] args ) { Node original = buildGraph (); Node cloned = cloneGraph ( original ); boolean isEqual = compareGraphs ( original cloned new HashMap <> ()); System . out . println ( isEqual ? 'true' : 'false' ); } }
Python from collections import deque # Definition for a Node class Node : def __init__ ( self val = 0 ): self . val = val self . neighbors = [] # Clone the graph def cloneGraph ( node ): if not node : return None # Map to hold original nodes as keys and their clones as values mp = {} # Initialize BFS queue q = deque ([ node ]) # Clone the starting node mp [ node ] = Node ( node . val ) while q : current = q . popleft () for neighbor in current . neighbors : # If neighbor not cloned yet if neighbor not in mp : mp [ neighbor ] = Node ( neighbor . val ) q . append ( neighbor ) # Link clone of neighbor to the clone of the current node mp [ current ] . neighbors . append ( mp [ neighbor ]) return mp [ node ] # Build graph def buildGraph (): node1 = Node ( 0 ) node2 = Node ( 1 ) node3 = Node ( 2 ) node4 = Node ( 3 ) node1 . neighbors = [ node2 node3 ] node2 . neighbors = [ node1 node3 ] node3 . neighbors = [ node1 node2 node4 ] node4 . neighbors = [ node3 ] return node1 # Compare two graphs structurally and by values def compareGraphs ( n1 n2 visited ): if not n1 or not n2 : return n1 == n2 if n1 . val != n2 . val or n1 is n2 : return False visited [ n1 ] = n2 if len ( n1 . neighbors ) != len ( n2 . neighbors ): return False for i in range ( len ( n1 . neighbors )): neighbor1 = n1 . neighbors [ i ] neighbor2 = n2 . neighbors [ i ] if neighbor1 in visited : if visited [ neighbor1 ] != neighbor2 : return False else : if not compareGraphs ( neighbor1 neighbor2 visited ): return False return True # Driver if __name__ == '__main__' : original = buildGraph () cloned = cloneGraph ( original ) result = compareGraphs ( original cloned {}) print ( 'true' if result else 'false' )
C# using System ; using System.Collections.Generic ; // Definition for a Node public class Node { public int val ; public List < Node > neighbors ; public Node () { neighbors = new List < Node > (); } public Node ( int val ) { this . val = val ; neighbors = new List < Node > (); } } class GfG { // Clone the graph public static Node CloneGraph ( Node node ) { if ( node == null ) return null ; var mp = new Dictionary < Node Node > (); var q = new Queue < Node > (); // Clone the starting node var clone = new Node ( node . val ); mp [ node ] = clone ; q . Enqueue ( node ); while ( q . Count > 0 ) { var current = q . Dequeue (); foreach ( var neighbor in current . neighbors ) { // If neighbor not cloned clone it and enqueue if ( ! mp . ContainsKey ( neighbor )) { mp [ neighbor ] = new Node ( neighbor . val ); q . Enqueue ( neighbor ); } // Add clone of neighbor to clone of current mp [ current ]. neighbors . Add ( mp [ neighbor ]); } } return mp [ node ]; } // Build graph public static Node BuildGraph () { var node1 = new Node ( 0 ); var node2 = new Node ( 1 ); var node3 = new Node ( 2 ); var node4 = new Node ( 3 ); node1 . neighbors . AddRange ( new [] { node2 node3 }); node2 . neighbors . AddRange ( new [] { node1 node3 }); node3 . neighbors . AddRange ( new [] { node1 node2 node4 }); node4 . neighbors . AddRange ( new [] { node3 }); return node1 ; } // Compare two graphs for structure and value public static bool CompareGraphs ( Node n1 Node n2 Dictionary < Node Node > visited ) { if ( n1 == null || n2 == null ) return n1 == n2 ; if ( n1 . val != n2 . val || ReferenceEquals ( n1 n2 )) return false ; visited [ n1 ] = n2 ; if ( n1 . neighbors . Count != n2 . neighbors . Count ) return false ; for ( int i = 0 ; i < n1 . neighbors . Count ; i ++ ) { var neighbor1 = n1 . neighbors [ i ]; var neighbor2 = n2 . neighbors [ i ]; if ( visited . ContainsKey ( neighbor1 )) { if ( ! ReferenceEquals ( visited [ neighbor1 ] neighbor2 )) return false ; } else { if ( ! CompareGraphs ( neighbor1 neighbor2 visited )) return false ; } } return true ; } public static void Main () { var original = BuildGraph (); var cloned = CloneGraph ( original ); var visited = new Dictionary < Node Node > (); Console . WriteLine ( CompareGraphs ( original cloned visited ) ? 'true' : 'false' ); } }
JavaScript // Definition for a Node class Node { constructor ( val = 0 ) { this . val = val ; this . neighbors = []; } } // Clone the graph function cloneGraph ( node ) { if ( ! node ) return null ; const mp = new Map (); const q = [ node ]; // Clone the initial node mp . set ( node new Node ( node . val )); while ( q . length > 0 ) { const current = q . shift (); for ( const neighbor of current . neighbors ) { if ( ! mp . has ( neighbor )) { mp . set ( neighbor new Node ( neighbor . val )); q . push ( neighbor ); } // Link clone of neighbor to clone of current mp . get ( current ). neighbors . push ( mp . get ( neighbor )); } } return mp . get ( node ); } // Build graph function buildGraph () { const node1 = new Node ( 0 ); const node2 = new Node ( 1 ); const node3 = new Node ( 2 ); const node4 = new Node ( 3 ); node1 . neighbors = [ node2 node3 ]; node2 . neighbors = [ node1 node3 ]; node3 . neighbors = [ node1 node2 node4 ]; node4 . neighbors = [ node3 ]; return node1 ; } // Compare two graphs structurally and by value function compareGraphs ( n1 n2 visited = new Map ()) { if ( ! n1 || ! n2 ) return n1 === n2 ; if ( n1 . val !== n2 . val || n1 === n2 ) return false ; visited . set ( n1 n2 ); if ( n1 . neighbors . length !== n2 . neighbors . length ) return false ; for ( let i = 0 ; i < n1 . neighbors . length ; i ++ ) { const neighbor1 = n1 . neighbors [ i ]; const neighbor2 = n2 . neighbors [ i ]; if ( visited . has ( neighbor1 )) { if ( visited . get ( neighbor1 ) !== neighbor2 ) return false ; } else { if ( ! compareGraphs ( neighbor1 neighbor2 visited )) return false ; } } return true ; } // Driver const original = buildGraph (); const cloned = cloneGraph ( original ); const result = compareGraphs ( original cloned ); console . log ( result ? 'true' : 'false' );
Produksjon
true
[Tilnærming 2] Bruke DFS-traversal - O(V+E) Tid og O(V) Space
C++I DFS-tilnærmingen klones grafen ved hjelp av rekursjon. Vi starter fra den gitte noden og utforsker så langt som mulig langs hver gren før vi går tilbake. Et kart (eller ordbok) brukes til å holde styr på allerede klonede noder for å unngå å behandle den samme noden flere ganger og for å håndtere sykluser. When we encounter a node for the first time we create a clone of it and store it in the map. Så for hver nabo til den noden kloner vi den rekursivt og legger til den klonede naboen til den gjeldende nodens klon. Dette sikrer at alle noder besøkes dypt før retur, og grafstrukturen er trofast kopiert.
#include #include #include #include using namespace std ; // Definition for a Node struct Node { int val ; vector < Node *> neighbors ; }; // Map to hold original node to its copy unordered_map < Node * Node *> copies ; // Function to clone the graph Node * cloneGraph ( Node * node ) { // If the node is NULL return NULL if ( ! node ) return NULL ; // If node is not yet cloned clone it if ( copies . find ( node ) == copies . end ()) { Node * clone = new Node (); clone -> val = node -> val ; copies [ node ] = clone ; // Recursively clone neighbors for ( Node * neighbor : node -> neighbors ) { clone -> neighbors . push_back ( cloneGraph ( neighbor )); } } // Return the clone return copies [ node ]; } // Build graph Node * buildGraph () { Node * node1 = new Node (); node1 -> val = 0 ; Node * node2 = new Node (); node2 -> val = 1 ; Node * node3 = new Node (); node3 -> val = 2 ; Node * node4 = new Node (); node4 -> val = 3 ; node1 -> neighbors = { node2 node3 }; node2 -> neighbors = { node1 node3 }; node3 -> neighbors = { node1 node2 node4 }; node4 -> neighbors = { node3 }; return node1 ; } // Compare two graphs for structural and value equality bool compareGraphs ( Node * node1 Node * node2 map < Node * Node *>& visited ) { if ( ! node1 || ! node2 ) return node1 == node2 ; if ( node1 -> val != node2 -> val || node1 == node2 ) return false ; visited [ node1 ] = node2 ; if ( node1 -> neighbors . size () != node2 -> neighbors . size ()) return false ; for ( size_t i = 0 ; i < node1 -> neighbors . size (); ++ i ) { Node * n1 = node1 -> neighbors [ i ]; Node * n2 = node2 -> neighbors [ i ]; if ( visited . count ( n1 )) { if ( visited [ n1 ] != n2 ) return false ; } else { if ( ! compareGraphs ( n1 n2 visited )) return false ; } } return true ; } // Driver Code int main () { Node * original = buildGraph (); // Clone the graph Node * cloned = cloneGraph ( original ); // Compare original and cloned graph map < Node * Node *> visited ; cout < < ( compareGraphs ( original cloned visited ) ? 'true' : 'false' ) < < endl ; return 0 ; }
Java import java.util.* ; // Definition for a Node class Node { int val ; ArrayList < Node > neighbors ; Node () { neighbors = new ArrayList <> (); } Node ( int val ) { this . val = val ; neighbors = new ArrayList <> (); } } public class GfG { // Map to hold original node to its copy static HashMap < Node Node > copies = new HashMap <> (); // Function to clone the graph using DFS public static Node cloneGraph ( Node node ) { // If the node is NULL return NULL if ( node == null ) return null ; // If node is not yet cloned clone it if ( ! copies . containsKey ( node )) { Node clone = new Node ( node . val ); copies . put ( node clone ); // Recursively clone neighbors for ( Node neighbor : node . neighbors ) { clone . neighbors . add ( cloneGraph ( neighbor )); } } // Return the clone return copies . get ( node ); } // Build graph public static Node buildGraph () { Node node1 = new Node ( 0 ); Node node2 = new Node ( 1 ); Node node3 = new Node ( 2 ); Node node4 = new Node ( 3 ); node1 . neighbors . addAll ( Arrays . asList ( node2 node3 )); node2 . neighbors . addAll ( Arrays . asList ( node1 node3 )); node3 . neighbors . addAll ( Arrays . asList ( node1 node2 node4 )); node4 . neighbors . addAll ( Arrays . asList ( node3 )); return node1 ; } // Compare two graphs for structural and value equality public static boolean compareGraphs ( Node node1 Node node2 HashMap < Node Node > visited ) { if ( node1 == null || node2 == null ) return node1 == node2 ; if ( node1 . val != node2 . val || node1 == node2 ) return false ; visited . put ( node1 node2 ); if ( node1 . neighbors . size () != node2 . neighbors . size ()) return false ; for ( int i = 0 ; i < node1 . neighbors . size (); i ++ ) { Node n1 = node1 . neighbors . get ( i ); Node n2 = node2 . neighbors . get ( i ); if ( visited . containsKey ( n1 )) { if ( visited . get ( n1 ) != n2 ) return false ; } else { if ( ! compareGraphs ( n1 n2 visited )) return false ; } } return true ; } // Driver Code public static void main ( String [] args ) { Node original = buildGraph (); // Clone the graph Node cloned = cloneGraph ( original ); // Compare original and cloned graph boolean result = compareGraphs ( original cloned new HashMap <> ()); System . out . println ( result ? 'true' : 'false' ); } }
Python # Definition for a Node class Node : def __init__ ( self val = 0 neighbors = None ): self . val = val self . neighbors = neighbors if neighbors is not None else [] # Map to hold original node to its copy copies = {} # Function to clone the graph def cloneGraph ( node ): # If the node is None return None if not node : return None # If node is not yet cloned clone it if node not in copies : # Create a clone of the node clone = Node ( node . val ) copies [ node ] = clone # Recursively clone neighbors for neighbor in node . neighbors : clone . neighbors . append ( cloneGraph ( neighbor )) # Return the clone return copies [ node ] def buildGraph (): node1 = Node ( 0 ) node2 = Node ( 1 ) node3 = Node ( 2 ) node4 = Node ( 3 ) node1 . neighbors = [ node2 node3 ] node2 . neighbors = [ node1 node3 ] node3 . neighbors = [ node1 node2 node4 ] node4 . neighbors = [ node3 ] return node1 # Compare two graphs for structural and value equality def compareGraphs ( node1 node2 visited ): if not node1 or not node2 : return node1 == node2 if node1 . val != node2 . val or node1 is node2 : return False visited [ node1 ] = node2 if len ( node1 . neighbors ) != len ( node2 . neighbors ): return False for i in range ( len ( node1 . neighbors )): n1 = node1 . neighbors [ i ] n2 = node2 . neighbors [ i ] if n1 in visited : if visited [ n1 ] != n2 : return False else : if not compareGraphs ( n1 n2 visited ): return False return True # Driver Code if __name__ == '__main__' : original = buildGraph () # Clone the graph using DFS cloned = cloneGraph ( original ) # Compare original and cloned graph visited = {} print ( 'true' if compareGraphs ( original cloned visited ) else 'false' )
C# using System ; using System.Collections.Generic ; public class Node { public int val ; public List < Node > neighbors ; public Node () { val = 0 ; neighbors = new List < Node > (); } public Node ( int _val ) { val = _val ; neighbors = new List < Node > (); } } class GfG { // Dictionary to hold original node to its copy static Dictionary < Node Node > copies = new Dictionary < Node Node > (); // Function to clone the graph using DFS public static Node CloneGraph ( Node node ) { // If the node is NULL return NULL if ( node == null ) return null ; // If node is not yet cloned clone it if ( ! copies . ContainsKey ( node )) { Node clone = new Node ( node . val ); copies [ node ] = clone ; // Recursively clone neighbors foreach ( Node neighbor in node . neighbors ) { clone . neighbors . Add ( CloneGraph ( neighbor )); } } // Return the clone return copies [ node ]; } // Build graph public static Node BuildGraph () { Node node1 = new Node ( 0 ); Node node2 = new Node ( 1 ); Node node3 = new Node ( 2 ); Node node4 = new Node ( 3 ); node1 . neighbors . Add ( node2 ); node1 . neighbors . Add ( node3 ); node2 . neighbors . Add ( node1 ); node2 . neighbors . Add ( node3 ); node3 . neighbors . Add ( node1 ); node3 . neighbors . Add ( node2 ); node3 . neighbors . Add ( node4 ); node4 . neighbors . Add ( node3 ); return node1 ; } // Compare two graphs for structural and value equality public static bool CompareGraphs ( Node node1 Node node2 Dictionary < Node Node > visited ) { if ( node1 == null || node2 == null ) return node1 == node2 ; if ( node1 . val != node2 . val || node1 == node2 ) return false ; visited [ node1 ] = node2 ; if ( node1 . neighbors . Count != node2 . neighbors . Count ) return false ; for ( int i = 0 ; i < node1 . neighbors . Count ; i ++ ) { Node n1 = node1 . neighbors [ i ]; Node n2 = node2 . neighbors [ i ]; if ( visited . ContainsKey ( n1 )) { if ( visited [ n1 ] != n2 ) return false ; } else { if ( ! CompareGraphs ( n1 n2 visited )) return false ; } } return true ; } // Driver Code public static void Main () { Node original = BuildGraph (); // Clone the graph using DFS Node cloned = CloneGraph ( original ); // Compare original and cloned graph bool isEqual = CompareGraphs ( original cloned new Dictionary < Node Node > ()); Console . WriteLine ( isEqual ? 'true' : 'false' ); } }
JavaScript // Definition for a Node class Node { constructor ( val = 0 ) { this . val = val ; this . neighbors = []; } } // Map to hold original node to its copy const copies = new Map (); // Function to clone the graph using DFS function cloneGraph ( node ) { // If the node is NULL return NULL if ( node === null ) return null ; // If node is not yet cloned clone it if ( ! copies . has ( node )) { const clone = new Node ( node . val ); copies . set ( node clone ); // Recursively clone neighbors for ( let neighbor of node . neighbors ) { clone . neighbors . push ( cloneGraph ( neighbor )); } } // Return the clone return copies . get ( node ); } // Build graph function buildGraph () { const node1 = new Node ( 0 ); const node2 = new Node ( 1 ); const node3 = new Node ( 2 ); const node4 = new Node ( 3 ); node1 . neighbors . push ( node2 node3 ); node2 . neighbors . push ( node1 node3 ); node3 . neighbors . push ( node1 node2 node4 ); node4 . neighbors . push ( node3 ); return node1 ; } // Compare two graphs for structural and value equality function compareGraphs ( node1 node2 visited = new Map ()) { if ( ! node1 || ! node2 ) return node1 === node2 ; if ( node1 . val !== node2 . val || node1 === node2 ) return false ; visited . set ( node1 node2 ); if ( node1 . neighbors . length !== node2 . neighbors . length ) return false ; for ( let i = 0 ; i < node1 . neighbors . length ; i ++ ) { const n1 = node1 . neighbors [ i ]; const n2 = node2 . neighbors [ i ]; if ( visited . has ( n1 )) { if ( visited . get ( n1 ) !== n2 ) return false ; } else { if ( ! compareGraphs ( n1 n2 visited )) return false ; } } return true ; } // Driver Code const original = buildGraph (); // Clone the graph using DFS const cloned = cloneGraph ( original ); // Compare original and cloned graph console . log ( compareGraphs ( original cloned ) ? 'true' : 'false' );
Produksjon
true
