Intersection of Two Linked Lists

本文提供了一种高效的算法来查找两个单链表相交的起始节点,通过比较链表长度并调整指针位置,最终实现O(n)时间复杂度和O(1)内存使用。

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Write a program to find the node at which the intersection of two singly linked lists begins.


For example, the following two linked lists:

A:          a1 → a2
                   ↘
                     c1 → c2 → c3
                   ↗            
B:     b1 → b2 → b3

begin to intersect at node c1.


Notes:

  • If the two linked lists have no intersection at all, return null.
  • The linked lists must retain their original structure after the function returns.
  • You may assume there are no cycles anywhere in the entire linked structure.
  • Your code should preferably run in O(n) time and use only O(1) memory.
class Solution {
public:
	ListNode *getIntersectionNode(ListNode *headA, ListNode *headB) 
	{
		if (0 == headA || 0 == headB) return 0;
		int lenA = 0, lenB = 0;
		ListNode A(0), B(0), *pA = &A, *pB = &B;
		pA->next = headA;
		pB->next = headB;

		while(pA->next != 0)
		{
			++lenA;
			pA = pA->next;
		}
		while(pB->next != 0)
		{
			++lenB;
			pB = pB->next;
		}
		if (pA != pB) 
			return 0;
		int diff = abs(lenA - lenB);
		pA = &A; // make a fatal endless loop mistak here.
		pB = &B;
		pA->next = headA;
		pB->next = headB;
		if (lenA > lenB)
		{
			while (diff-- > 0)
				pA = pA->next;
		}
		else if (lenA < lenB)
		{
			while (diff-- > 0)
				pB = pB->next;
		}
		while (1)
		{
			if (pA->next == pB->next)
				return pA->next;
			pA = pA->next;
			pB = pB->next;
		}        	
	}
};


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