Question d'entrevue: la Fusion des deux triés séparément des listes liées, sans créer de nouveaux nœuds

La récursivité ne devrait pas être nécessaire d'éviter d'allouer un nouveau nœud:

Node MergeLists(Node list1, Node list2) {
  if (list1 == null) return list2;
  if (list2 == null) return list1;

  Node head;
  if (list1.data < list2.data) {
    head = list1;
  } else {
    head = list2;
    list2 = list1;
    list1 = head;
  }
  while(list1.next != null) {
    if (list1.next.data > list2.data) {
      Node tmp = list1.next;
      list1.next = list2;
      list2 = tmp;
    }
    list1 = list1.next;
  } 
  list1.next = list2;
  return head;
}

Voici l'algorithme sur la façon de fusionner deux triés listes A et B:

while A not empty or B not empty:
   if first element of A < first element of B:
      remove first element from A
      insert element into C
   end if
   else:
      remove first element from B
      insert element into C
end while

Ici C est la liste de sortie.

Itération peut être fait comme ci-dessous. Complexité = O(n)

public static LLNode mergeSortedListIteration(LLNode nodeA, LLNode nodeB) {
    LLNode mergedNode ;
    LLNode tempNode ;      

    if (nodeA == null) {
        return nodeB;
      } 
      if (nodeB == null) {
        return nodeA;
      }     


    if ( nodeA.getData() < nodeB.getData())
    {
        mergedNode = nodeA;
        nodeA = nodeA.getNext();
    }
    else
    {
        mergedNode = nodeB;
        nodeB = nodeB.getNext();
    }

    tempNode = mergedNode; 

    while (nodeA != null && nodeB != null)
    {           

        if ( nodeA.getData() < nodeB.getData())
        {               
            mergedNode.setNext(nodeA);
            nodeA = nodeA.getNext();
        }
        else
        {
            mergedNode.setNext(nodeB);
            nodeB = nodeB.getNext();                
        }       
        mergedNode = mergedNode.getNext();
    }

    if (nodeA != null)
    {
        mergedNode.setNext(nodeA);
    }

    if (nodeB != null)
    {
        mergedNode.setNext(nodeB);
    }       
    return tempNode;
}

Ce qui pourrait être fait sans créer le nœud supplémentaire, avec simplement un autre Nœud de référence en passant à l'paramètres (Nœud de temp).

private static Node mergeTwoLists(Node nodeList1, Node nodeList2, Node temp) {
    if(nodeList1 == null) return nodeList2;
    if(nodeList2 == null) return nodeList1;

    if(nodeList1.data <= nodeList2.data){
        temp = nodeList1;
        temp.next = mergeTwoLists(nodeList1.next, nodeList2, temp);
    }
    else{
        temp = nodeList2;
        temp.next = mergeTwoLists(nodeList1, nodeList2.next, temp);
    }
    return temp;
}

Une simple solution itérative.

Node* MergeLists(Node* A, Node* B)
{
    //handling the corner cases

    //if both lists are empty
    if(!A && !B)
    {
        cout << "List is empty" << endl;
        return 0;
    }
    //either of list is empty
    else if(!A) return B;
    else if(!B) return A;
    else
    {
        Node* head = NULL;//this will be the head of the newList
        Node* previous = NULL;//this will act as the

        /* In this algorithm we will keep the
         previous pointer that will point to the last node of the output list.
         And, as given we have A & B as pointer to the given lists.

         The algorithm will keep on going untill either one of the list become empty.
         Inside of the while loop, it will divide the algorithm in two parts:
            - First, if the head of the output list is not obtained yet
            - Second, if head is already there then we will just compare the values and keep appending to the 'previous' pointer.
         When one of the list become empty we will append the other 'left over' list to the output list.
         */
         while(A && B)
         {
             if(!head)
             {
                 if(A->data <= B->data)
                 {
                     head = A;//setting head of the output list to A
                     previous = A; //initializing previous
                     A = A->next;
                 }
                 else
                 {
                     head = B;//setting head of the output list to B
                     previous = B;//initializing previous
                     B = B->next;
                 }
             }
             else//when head is already set
             {
                 if(A->data <= B->data)
                 {
                     if(previous->next != A)
                         previous->next = A;
                     A = A->next;//Moved A forward but keeping B at the same position
                 }
                 else
                 {
                     if(previous->next != B)
                         previous->next = B;
                     B = B->next; //Moved B forward but keeping A at the same position
                 }
                 previous = previous->next;//Moving the Output list pointer forward
             }
         }
        //at the end either one of the list would finish
        //and we have to append the other list to the output list
        if(!A)
            previous->next = B;

        if(!B)
            previous->next = A;

        return head; //returning the head of the output list
    }
}

D'abord de comprendre la moyenne de "sans créer de nouveaux nœuds supplémentaires", ce Que je comprends, cela ne signifie pas que je ne peux pas avoir pointeur(s) qui pointe vers un nœud existant(s).

Vous ne pouvez pas l'atteindre sans parler des pointeurs vers les nœuds existants, même si vous utiliser la récursivité pour atteindre le même, le système va créer des pointeurs pour vous que les piles d'appels. C'est comme dire système pour ajouter des liens, qui vous avez évité dans votre code.

Fonction Simple pour atteindre le même avec prise supplémentaire pointeurs:

typedef struct _LLNode{
    int             value;
    struct _LLNode* next;
}LLNode;


LLNode* CombineSortedLists(LLNode* a,LLNode* b){
    if(NULL == a){
        return b;
    }
    if(NULL == b){
        return a;
    }
    LLNode* root  = NULL;
    if(a->value < b->value){
        root = a;
        a = a->next;
    }
    else{
        root = b;
        b    = b->next;
    }
    LLNode* curr  = root;
    while(1){
        if(a->value < b->value){
            curr->next = a;
            curr = a;
            a=a->next;
            if(NULL == a){
                curr->next = b;
                break;
            }
        }
        else{
            curr->next = b;
            curr = b;
            b=b->next;
            if(NULL == b){
                curr->next = a;
                break;
            }
        }
    }
    return root;
}

Node MergeLists(Node list1, Node list2) {
    //if list is null return other list 
   if(list1 == null)
   {
      return list2;
   }
   else if(list2 == null)
   {
      return list1;
   }
   else
   {
        Node head;
        //Take head pointer to the node which has smaller first data node
        if(list1.data < list2.data)
        {
            head = list1;
            list1 = list1.next;
        }
        else
        {
           head = list2;
           list2 = list2.next;
        }
        Node current = head;
        //loop till both list are not pointing to null
        while(list1 != null || list2 != null)
        {
            //if list1 is null, point rest of list2 by current pointer 
            if(list1 == null){
               current.next = list2;
               return head;
            }
            //if list2 is null, point rest of list1 by current pointer 
            else if(list2 == null){
               current.next = list1;
               return head;
            }
            //compare if list1 node data is smaller than list2 node data, list1 node will be
            //pointed by current pointer
            else if(list1.data < list2.data)
            {
                current.next = list1;
                current = current.next;
                list1 = list1.next;
            }
            else
            {
                current.next = list2;
                current = current.next;
                list2 = list2.next;
            }
        }      
    return head;
    }      
}

Façon récursive(variante de Stefan réponse)

 MergeList(Node nodeA, Node nodeB ){
        if(nodeA==null){return nodeB};
        if(nodeB==null){return nodeA};

    if(nodeB.data<nodeA.data){
        Node returnNode = MergeNode(nodeA,nodeB.next);
        nodeB.next = returnNode;
        retturn nodeB;
    }else{
        Node returnNode = MergeNode(nodeA.next,nodeB);
        nodeA.next=returnNode;
        return nodeA;
    }

Examiner ci-dessous liste liée à visualiser ce

2>4 Une liste
1>3 liste B

Presque la même réponse(non récursif) comme Stefan, mais avec un peu plus de commentaires/significatifs nom de la variable. Également couverts double liste chaînée dans les commentaires si quelqu'un est intéressé

Prenons l'exemple

5->10->15>21 //List1

2->3->6->20 //List2

Node MergeLists(List list1, List list2) {
  if (list1 == null) return list2;
  if (list2 == null) return list1;

if(list1.head.data>list2.head.data){
  listB =list2; //loop over this list as its head is smaller
  listA =list1;
} else {
  listA =list2; //loop over this list
  listB =list1;
}


listB.currentNode=listB.head;
listA.currentNode=listA.head;

while(listB.currentNode!=null){

  if(listB.currentNode.data<listA.currentNode.data){
    Node insertFromNode = listB.currentNode.prev; 
    Node startingNode = listA.currentNode;
    Node temp = inserFromNode.next;
    inserFromNode.next = startingNode;
    startingNode.next=temp;

    startingNode.next.prev= startingNode; //for doubly linked list
    startingNode.prev=inserFromNode;  //for doubly linked list


    listB.currentNode= listB.currentNode.next;
    listA.currentNode= listA.currentNode.next;

  } 
  else
  {
    listB.currentNode= listB.currentNode.next;

  }

}

        /* Simple/Elegant Iterative approach in Java*/   
        private static LinkedList mergeLists(LinkedList list1, LinkedList list2) {
                    Node head1 = list1.start;
                    Node head2 = list2.start;
                    if (list1.size == 0)
                    return list2;
                    if (list2.size == 0)
                    return list1;               
                    LinkedList mergeList = new LinkedList();
                    while (head1 != null && head2 != null) {
                        if (head1.getData() < head2.getData()) {
                            int data = head1.getData();
                            mergeList.insert(data);
                            head1 = head1.getNext();
                        } else {
                            int data = head2.getData();
                            mergeList.insert(data);
                            head2 = head2.getNext();
                        }
                    }
                    while (head1 != null) {
                        int data = head1.getData();
                        mergeList.insert(data);
                        head1 = head1.getNext();
                    }
                    while (head2 != null) {
                        int data = head2.getData();
                        mergeList.insert(data);
                        head2 = head2.getNext();
                    }
                    return mergeList;
                }

/* Build-In singly LinkedList class in Java*/
class LinkedList {
    Node start;
    int size = 0;

    void insert(int data) {
        if (start == null)
            start = new Node(data);
        else {
            Node temp = start;
            while (temp.getNext() != null) {
                temp = temp.getNext();
            }
            temp.setNext(new Node(data));
        }
        size++;
    }

    @Override
    public String toString() {

        String str = "";
        Node temp=start;
        while (temp != null) {
            str += temp.getData() + "-->";
            temp = temp.getNext();
        }
        return str;
    }

}

//Common code for insert at the end
        private void insertEnd(int data) {
                Node newNode = new Node(data);
                if (head == null) {
                    newNode.next = head;
                    head = tail = newNode;
                    return;
                }
                Node tempNode = tail;
                tempNode.next = newNode;
                tail = newNode;
            }

    private void mergerTwoSortedListInAscOrder(Node tempNode1, Node tempNode2) {

            if (tempNode1 == null && tempNode2 == null)
                return;
            if (tempNode1 == null) {
                head3 = tempNode2;
                return;
            }
            if (tempNode2 == null) {
                head3 = tempNode1;
                return;
            }

            while (tempNode1 != null && tempNode2 != null) {

                if (tempNode1.mData < tempNode2.mData) {
                    insertEndForHead3(tempNode1.mData);
                    tempNode1 = tempNode1.next;
                } else if (tempNode1.mData > tempNode2.mData) {
                    insertEndForHead3(tempNode2.mData);
                    tempNode2 = tempNode2.next;
                } else {
                    insertEndForHead3(tempNode1.mData);
                    insertEndForHead3(tempNode2.mData);
                    tempNode1 = tempNode1.next;
                    tempNode2 = tempNode2.next;
                }

            }
            if (tempNode1 != null) {
                while (tempNode1 != null) {
                    insertEndForHead3(tempNode1.mData);
                    tempNode1 = tempNode1.next;
                }
            }
            if (tempNode2 != null) {
                while (tempNode2 != null) {
                    insertEndForHead3(tempNode2.mData);
                    tempNode2 = tempNode2.next;
                }
            }
        }

:)GlbMP

private static Node mergeLists(Node L1, Node L2) {

    Node P1 = L1.val < L2.val ? L1 : L2;
    Node P2 = L1.val < L2.val ? L2 : L1;
    Node BigListHead = P1;
    Node tempNode = null;

    while (P1 != null && P2 != null) {
        if (P1.next != null && P1.next.val >P2.val) {
        tempNode = P1.next;
        P1.next = P2;
        P1 = P2;
        P2 = tempNode;
        } else if(P1.next != null) 
        P1 = P1.next;
        else {
        P1.next = P2;
        break;
        }
    }

    return BigListHead;
}

Voici le code sur la façon de fusionner deux triés listes liées headA et headB:

Node* MergeLists1(Node *headA, Node* headB)
{
    Node *p = headA;
    Node *q = headB;
    Node *result = NULL; 
    Node *pp = NULL;
    Node *qq = NULL;
    Node *head = NULL;
    int value1 = 0;
    int value2 = 0;
    if((headA == NULL) && (headB == NULL))
    {
        return NULL;
    }
    if(headA==NULL)
    {
        return headB;
    }
    else if(headB==NULL)
    {
        return headA;
    }
    else
    {
        while((p != NULL) || (q != NULL))
        {
            if((p != NULL) && (q != NULL))
            {
                int value1 = p->data;
                int value2 = q->data;
                if(value1 <= value2)
                {
                    pp = p->next;
                    p->next = NULL;
                    if(result == NULL)
                    {
                        head = result = p;
                    }
                    else
                    {
                        result->next = p;
                        result = p;
                    }
                    p = pp;
                }
                else
                {
                    qq = q->next;
                    q->next = NULL;
                    if(result == NULL)
                    {
                        head = result = q;
                    }
                    else
                    {
                        result->next = q;
                        result = q;
                    }
                    q = qq;
                }
            }
            else
            {
                if(p != NULL)
                {
                    pp = p->next;
                    p->next = NULL;
                    result->next = p;
                    result = p;
                    p = pp;
                }
                if(q != NULL)
                {
                    qq = q->next;
                    q->next = NULL;
                    result->next = q;
                    result = q;
                    q = qq;
                }
            }
        }
    }
    return head;
}