面试题32

I

从上到下打印出二叉树的每个节点,同一层的节点按照从左到右的顺序打印。

例如:
给定二叉树: [3,9,20,null,null,15,7],

    3
   / \
  9  20
    /  \
   15   7

返回:

[3,9,20,15,7]

提示:

  • 节点总数 <= 1000

II

从上到下按层打印二叉树,同一层的节点按从左到右的顺序打印,每一层打印到一行。

例如:
给定二叉树: [3,9,20,null,null,15,7],

    3
   / \
  9  20
    /  \
   15   7

返回其层次遍历结果:

[
  [3],
  [9,20],
  [15,7]
]

提示:

  • 节点总数 <= 1000

III

请实现一个函数按照之字形顺序打印二叉树,即第一行按照从左到右的顺序打印,第二层按照从右到左的顺序打印,第三行再按照从左到右的顺序打印,其他行以此类推。

例如:
给定二叉树: [3,9,20,null,null,15,7],

    3
   / \
  9  20
    /  \
   15   7

返回其层次遍历结果:

[
  [3],
  [20,9],
  [15,7]
]

提示:

  • 节点总数 <= 1000

Solutions

  1. bfs

/**
 * Definition for a binary tree node.
 * struct TreeNode {
 *     int val;
 *     TreeNode *left;
 *     TreeNode *right;
 *     TreeNode(int x) : val(x), left(NULL), right(NULL) {}
 * };
 */
class Solution {
public:
    vector<int> levelOrder(TreeNode* root) {
        queue<TreeNode *> q;
        if (root) q.push(root);

        vector<int> res;
        while (!q.empty()) {
            root = q.front(); q.pop();
            res.push_back(root->val);
            if (root->left)
                q.push(root->left);
            if (root->right)
                q.push(root->right);
        }

        return res;
    }
};
class Solution {
public:
    vector<vector<int>> levelOrder(TreeNode* root) {
        queue<TreeNode *> q;
        if (root) q.push(root);

        vector<vector<int>> res;
        while (!q.empty()) {
            int size = q.size();
            vector<int> level;
            while (size--) {
                root = q.front(); q.pop();
                level.push_back(root->val);
                if (root->left)
                    q.push(root->left);
                if (root->right)
                    q.push(root->right);
            }
            res.push_back(move(level));
        }

        return res;
    }
};
class Solution {
public:
    vector<vector<int>> levelOrder(TreeNode* root) {
        queue<TreeNode *> q;
        if (root) q.push(root);

        vector<vector<int>> res;
        bool lr = true;
        while (!q.empty()) {
            int size = q.size();
            vector<int> level(size);
            while (size--) {
                root = q.front(); q.pop();
                level[lr ? (int)level.size() - size - 1: size] = root->val;
                if (root->left)
                    q.push(root->left);
                if (root->right)
                    q.push(root->right);
            }
            res.push_back(move(level));
            lr = !lr;
        }

        return res;
    }
};

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