Given a non-empty, singly linked list with head node head, return a middle node of linked list.
If there are two middle nodes, return the second middle node.
Example 1:
Input: [1,2,3,4,5]
Output: Node 3 from this list (Serialization: [3,4,5])
The returned node has value 3. (The judge's serialization of this node is [3,4,5]).
Note that we returned a ListNode object ans, such that:
ans.val = 3, ans.next.val = 4, ans.next.next.val = 5, and ans.next.next.next = NULL.
Example 2:
Input: [1,2,3,4,5,6]
Output: Node 4 from this list (Serialization: [4,5,6])
Since the list has two middle nodes with values 3 and 4, we return the second one.
Note:
The number of nodes in the given list will be between 1 and 100.
題目分析:
本題要求中間節(jié)點,那么最直接的思路就是先從頭遍歷該鏈表,統(tǒng)計出鏈表長度n,那么中間的節(jié)點就應該是第(n+1)/2個,那么在從列表頭往后遍歷到第(n+1)/2個就是所求的中間節(jié)點。
雖然這種方法的時間復雜度為O(n),但是我們需要兩次遍歷該鏈表。
一種比較方便的做法是利用快慢指針,這也是在鏈表的問題中比較常見的一種策略。在本題中慢指針每次前進一步,快指針每次前進兩步,這樣在快指針到達鏈表末尾的時候,慢指針就會指向中間節(jié)點。這里注意快慢指針在一開始時都應該初始化為頭結點。這種做法相比于第一種直觀做法,雖然時間復雜度還是O(n),但算法只需要一次列表遍歷就可以了。
對應的Golang代碼如下
/**
* Definition for singly-linked list.
* type ListNode struct {
* Val int
* Next *ListNode
* }
*/
func middleNode(head *ListNode) *ListNode {
if head == nil || head.Next == nil {
return head
}
var slow *ListNode = head
var fast *ListNode = head
for fast != nil && fast.Next != nil {
fast = fast.Next.Next
slow = slow.Next
}
return slow
}
對應的C#代碼如下
/**
* Definition for singly-linked list.
* public class ListNode {
* public int val;
* public ListNode next;
* public ListNode(int x) { val = x; }
* }
*/
public class Solution {
public ListNode MiddleNode(ListNode head) {
if (head == null || head.next == null) return head;
var slow = head;
var fast = head;
while (fast != null && fast.next != null)
{
slow = slow.next;
fast = fast.next.next;
}
return slow;
}
}
對應的C++代碼如下
/**
* Definition for singly-linked list.
* struct ListNode {
* int val;
* ListNode *next;
* ListNode(int x) : val(x), next(NULL) {}
* };
*/
class Solution {
public:
ListNode* middleNode(ListNode* head) {
if (head == NULL || head->next == NULL) return head;
ListNode *slow = head, *fast = head;
while (fast != NULL && fast->next != NULL) {
slow = slow->next;
fast = fast->next;
if (fast != NULL) fast = fast->next;
}
return slow;
}
};
對應的java代碼如下
/**
* Definition for singly-linked list.
* public class ListNode {
* int val;
* ListNode next;
* ListNode(int x) { val = x; }
* }
*/
class Solution {
public ListNode middleNode(ListNode head) {
ListNode slow = head, fast = head;
while (fast != null && fast.next != null) {
slow = slow.next;
fast = fast.next;
if (fast.next != null) fast = fast.next;
}
return slow;
}
}