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0143.重排链表.md

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143.重排链表

思路

本篇将给出三种C++实现的方法

  • 数组模拟
  • 双向队列模拟
  • 直接分割链表

方法一

把链表放进数组中,然后通过双指针法,一前一后,来遍历数组,构造链表。

代码如下:

class Solution {
public:
    void reorderList(ListNode* head) {
        vector<ListNode*> vec;
        ListNode* cur = head;
        if (cur == nullptr) return;
        while(cur != nullptr) {
            vec.push_back(cur);
            cur = cur->next;
        }
        cur = head;
        int i = 1;
        int j = vec.size() - 1;  // i j为之前前后的双指针
        int count = 0; // 计数,偶数去后面,奇数取前面
        while (i <= j) {
            if (count % 2 == 0) {
                cur->next = vec[j];
                j--;
            } else {
                cur->next = vec[i];
                i++;
            }
            cur = cur->next;
            count++;
        }
        if (vec.size() % 2 == 0) { // 如果是偶数,还要多处理中间的一个
            cur->next = vec[i];
            cur = cur->next;
        }
        cur->next = nullptr; // 注意结尾
    }
};

方法二

把链表放进双向队列,然后通过双向队列一前一后弹出数据,来构造新的链表。这种方法比操作数组容易一些,不用双指针模拟一前一后了

class Solution {
public:
    void reorderList(ListNode* head) {
        deque<ListNode*> que;
        ListNode* cur = head;
        if (cur == nullptr) return;

        while(cur->next != nullptr) {
            que.push_back(cur->next);
            cur = cur->next;
        }

        cur = head;
        int count = 0; // 计数,偶数去后面,奇数取前面
        ListNode* node;
        while(que.size()) {
            if (count % 2 == 0) {
                node = que.back();
                que.pop_back();
            } else {
                node = que.front();
                que.pop_front();
            }
            count++;
            cur->next = node;
            cur = cur->next;
        }
        cur->next = nullptr; // 注意结尾
    }
};

方法三

将链表分割成两个链表,然后把第二个链表反转,之后在通过两个链表拼接成新的链表。

如图:

这种方法,比较难,平均切割链表,看上去很简单,真正代码写的时候有很多细节,同时两个链表最后拼装整一个新的链表也有一些细节需要注意!

代码如下:

class Solution {
private:
    // 反转链表
    ListNode* reverseList(ListNode* head) {
        ListNode* temp; // 保存cur的下一个节点
        ListNode* cur = head;
        ListNode* pre = NULL;
        while(cur) {
            temp = cur->next;  // 保存一下 cur的下一个节点,因为接下来要改变cur->next
            cur->next = pre; // 翻转操作
            // 更新pre 和 cur指针
            pre = cur;
            cur = temp;
        }
        return pre;
    }

public:
    void reorderList(ListNode* head) {
        if (head == nullptr) return;
        // 使用快慢指针法,将链表分成长度均等的两个链表head1和head2
        // 如果总链表长度为奇数,则head1相对head2多一个节点
        ListNode* fast = head;
        ListNode* slow = head;
        while (fast && fast->next && fast->next->next) {
            fast = fast->next->next;
            slow = slow->next;
        }
        ListNode* head1 = head;
        ListNode* head2;
        head2 = slow->next;
        slow->next = nullptr;

        // 对head2进行翻转
        head2 = reverseList(head2);

        // 将head1和head2交替生成新的链表head
        ListNode* cur1 = head1;
        ListNode* cur2 = head2;
        ListNode* cur = head;
        cur1 = cur1->next;
        int count = 0; // 偶数取head2的元素,奇数取head1的元素
        while (cur1 && cur2) {
            if (count % 2 == 0) {
                cur->next = cur2;
                cur2 = cur2->next;
            } else {
                cur->next = cur1;
                cur1 = cur1->next;
            }
            count++;
            cur = cur->next;
        }
        if (cur2 != nullptr) { // 处理结尾
            cur->next = cur2;
        }
        if (cur1 != nullptr) {
            cur->next = cur1;
        }
    }
};

其他语言版本

Java:

public class ReorderList {
    public void reorderList(ListNode head) {
        ListNode fast = head, slow = head;
        //求出中点
        while (fast.next != null && fast.next.next != null) {
            slow = slow.next;
            fast = fast.next.next;
        }
        //right就是右半部分 12345 就是45  1234 就是34
        ListNode right = slow.next;
        //断开左部分和右部分
        slow.next = null;
        //反转右部分 right就是反转后右部分的起点
        right = reverseList(right);
        //左部分的起点
        ListNode left = head;
        //进行左右部分来回连接 
        //这里左部分的节点个数一定大于等于右部分的节点个数 因此只判断right即可
        while (right != null) {
            ListNode curLeft = left.next;
            left.next = right;
            left = curLeft;

            ListNode curRight = right.next;
            right.next = left;
            right = curRight;
        }
    }

    public ListNode reverseList(ListNode head) {
        ListNode headNode = new ListNode(0);
        ListNode cur = head;
        ListNode next = null;
        while (cur != null) {
            next = cur.next;
            cur.next = headNode.next;
            headNode.next = cur;
            cur = next;
        }
        return headNode.next;
    }
}

Python:

# 方法二 双向队列
class Solution:
    def reorderList(self, head: ListNode) -> None:
        """
        Do not return anything, modify head in-place instead.
        """
        d = collections.deque()
        tmp = head
        while tmp.next: # 链表除了首元素全部加入双向队列
            d.append(tmp.next)
            tmp = tmp.next
        tmp = head
        while len(d): # 一后一前加入链表
            tmp.next = d.pop()
            tmp = tmp.next
            if len(d):
                tmp.next = d.popleft()
                tmp = tmp.next
        tmp.next = None # 尾部置空
 
# 方法三 反转链表
class Solution:
    def reorderList(self, head: ListNode) -> None:
        if head == None or head.next == None:
            return True
        slow, fast = head, head
        while fast and fast.next:
            slow = slow.next
            fast = fast.next.next
        right = slow.next # 分割右半边
        slow.next = None # 切断
        right = self.reverseList(right) #反转右半边
        left = head
        # 左半边一定比右半边长, 因此判断右半边即可
        while right:
            curLeft = left.next
            left.next = right
            left = curLeft

            curRight = right.next
            right.next = left
            right = curRight


    def reverseList(self, head: ListNode) -> ListNode:
        cur = head   
        pre = None
        while(cur!=None):
            temp = cur.next # 保存一下cur的下一个节点
            cur.next = pre # 反转
            pre = cur
            cur = temp
        return pre

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