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.
解題思路:公共節點以後的部分長度都是相等的,所以遍歷鏈表兩個鏈表求其長度,
遍歷鏈表A,記錄其長度lengthA,遍歷鏈表B,記錄其長度lengthB作差記爲count。
讓長的鏈表先走count步,然後兩個鏈表再同時走,直到兩個節點相同。
時間複雜度O(lengthA+lengthB),空間複雜度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;
int lengthA = 1;
int lengthB = 1;
ListNode curNodeA = headA;
ListNode curNodeB = headB;
//遍歷鏈表A,求出鏈表A的長度
while (curNodeA.next != null) {
lengthA++;
curNodeA = curNodeA.next;
}
//遍歷鏈表B,求出鏈表B的長度
while (curNodeB.next != null) {
lengthB++;
curNodeB = curNodeB .next;
}
//判斷最後一個元素是否相等,若不相等,則說明沒有交
if (curNodeA != curNodeB) {
return null;
}else {
int count = Math.abs(lengthA - lengthB);
//重新開始
curNodeA = headA;
curNodeB = headB;
if (lengthA <= lengthB) {
while (count > 0) {
curNodeB = curNodeB.next;
count-- ;
}
} else {
while (count > 0) {
curNodeA = curNodeA.next;
count--;
}
}
while (curNodeA != curNodeB) {
curNodeA = curNodeA.next;
curNodeB = curNodeB.next;
}
//如果找到相等的,那麼返回curNodeA就是當前第一個相交的位置
//如果遍歷到最後一個都一直不相等,那麼返回的curNodeA是尾部的null
return curNodeA;
}
}
}
注意:最後只返回curNodeA就可以了 因爲 //如果找到相等的,那麼返回curNodeA就是當前第一個相交的位置//如果遍歷到最後一個都一直不相等,那麼返回的curNodeA是尾部的null