Leetcode 116. Populating Next Right Pointers in Each Node (BFS 题)-优快云博客

文章讲述了如何在给定的完美二叉树中，通过广度优先搜索(BFS)或先序/后序遍历的方式，填充每个节点的next指针，使其指向下一个右节点。提供了两种不同的实现方法。

Populating Next Right Pointers in Each Node
Medium

You are given a perfect binary tree where all leaves are on the same level, and every parent has two children. The binary tree has the following definition:

struct Node {
int val;
Node *left;
Node *right;
Node *next;
}
Populate each next pointer to point to its next right node. If there is no next right node, the next pointer should be set to NULL.

Initially, all next pointers are set to NULL.

Example 1:

Input: root = [1,2,3,4,5,6,7]
Output: [1,#,2,3,#,4,5,6,7,#]
Explanation: Given the above perfect binary tree (Figure A), your function should populate each next pointer to point to its next right node, just like in Figure B. The serialized output is in level order as connected by the next pointers, with ‘#’ signifying the end of each level.
Example 2:

Input: root = []
Output: []

Constraints:

The number of nodes in the tree is in the range [0, 212 - 1].
-1000 <= Node.val <= 1000

Follow-up:

You may only use constant extra space.
The recursive approach is fine. You may assume implicit stack space does not count as extra space for this problem.

解法1：BFS

/*
// Definition for a Node.
class Node {
public:
    int val;
    Node* left;
    Node* right;
    Node* next;

    Node() : val(0), left(NULL), right(NULL), next(NULL) {}

    Node(int _val) : val(_val), left(NULL), right(NULL), next(NULL) {}

    Node(int _val, Node* _left, Node* _right, Node* _next)
        : val(_val), left(_left), right(_right), next(_next) {}
};
*/

class Solution {
public:
    Node* connect(Node* root) {
        queue<Node *> q;
        if (root) q.push(root);
        while (!q.empty()) {
            int qSize = q.size();
            Node *head = q.front();
            q.pop();
            if (head->left) q.push(head->left);
            if (head->right) q.push(head->right);
            for (int i = 1; i < qSize; i++) {
                Node *front = q.front();
                q.pop();
                if (front->left) q.push(front->left);
                if (front->right) q.push(front->right);
                head->next = front;
                head = front;
            }
        }
        return root;
    }
};

解法2: 遍历的观点。用preorder或postorder都可以。

class Solution {
public:
    Node* connect(Node* root) {
        if (!root) return NULL;
        helper(root->left, root->right);
        return root;        
    }
private:
    void helper(Node *node1, Node *node2) {
        if (!node1 || !node2) return;
        helper(node1->left, node1->right);
        helper(node2->left, node2->right);
        helper(node1->right, node2->left);
        node1->next = node2;
    }
};

或者


class Solution {
public:
    Node* connect(Node* root) {
        if (!root) return NULL;
        helper(root->left, root->right);
        return root;        
    }
private:
    void helper(Node *node1, Node *node2) {
        if (!node1 || !node2) return;
        node1->next = node2;
        helper(node1->left, node1->right);
        helper(node2->left, node2->right);
        helper(node1->right, node2->left);        
    }
};