Thursday, April 8, 2010

Detecting a loop in a linked list (C program)

Brute force method

Have a double loop, where you check the node pointed to by the outer loop, with every node of the inner loop.


typedef struct node
{
  void *data;
  struct node *next;
}mynode;


mynode * find_loop(NODE * head)
{
  mynode *current = head;

  while(current->next != NULL)
  {
    mynode *temp = head;
    while(temp->next != NULL && temp != current)
    {
      if(current->next == temp)
      {
        printf("\nFound a loop.");
        return current;
      }
      temp = temp->next;
    }
    current = current->next;
  }
  return NULL;
}



Visited flag

Have a visited flag in each node of the linked list. Flag it as visited when you reach the node. When you reach a node and the flag is already flagged as visited, then you know there is a loop in the linked list.

Fastest method

Have 2 pointers to start of the linked list. Increment one pointer by 1 node and the other by 2 nodes. If there's a loop, the 2nd pointer will meet the 1st pointer somewhere. If it does, then you know there's one.

Here is some code


p=head;
q=head->next;

while(p!=NULL && q!=NULL)
{
  if(p==q)
  {
    //Loop detected!
    exit(0);
  }
  p=p->next;
  q=(q->next)?(q->next->next):q->next;
}

// No loop.

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