Intersection of Two Linked Lists

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.

虽然题目中强调了链表中不存在环,但是我们可以用环的思想来做,我们让两条链表分别从各自的开头开始往后遍历,当其中一条遍历到末尾时,我们跳到另一个条链表的开头继续遍历。两个指针最终会相等,而且只有两种情况,一种情况是在交点处相遇,另一种情况是在各自的末尾的空节点处相等。为什么一定会相等呢,因为两个指针走过的路程相同,是两个链表的长度之和,所以一定会相等。

时间复杂度o(m+n),空间复杂度o(1);

/**
 * Definition for singly-linked list.
 * public class ListNode {
 *     int val;
 *     ListNode next;
 *     ListNode(int x) {
 *         val = x;
 *         next = null;
 *     }
 * }
 */
public class Solution {
    public ListNode getIntersectionNode(ListNode headA, ListNode headB) {
        if(headA == null || headB == null)
            return null;
        ListNode runA = headA, runB = headB;
        
        while(runA != runB){
            runA = (runA != null) ? runA.next : headB;
            runB = (runB != null) ? runB.next : headA;
        }
        
        return runA;
        
        
        
    }
}

两个有环的链表检查是否相交

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