[LeetCode] 102. Binary Tree Level Order Traversal 二叉樹層序遍歷

 

Given a binary tree, return the level order traversal of its nodes' values. (ie, from left to right, level by level).

For example:
Given binary tree {3,9,20,#,#,15,7},

    3
   / \
  9  20
    /  \
   15   7

 

return its level order traversal as:

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

層序遍歷二叉樹是典型的廣度優先搜索 BFS 的應用，但是這里稍微復雜一點的是，要把各個層的數分開，存到一個二維向量里面，大體思路還是基本相同的，建立一個 queue，然后先把根節點放進去，這時候找根節點的左右兩個子節點，這時候去掉根節點，此時 queue 里的元素就是下一層的所有節點，用一個 for 循環遍歷它們，然后存到一個一維向量里，遍歷完之后再把這個一維向量存到二維向量里，以此類推，可以完成層序遍歷，參見代碼如下：

 

解法一：

class Solution {
public:
    vector<vector<int>> levelOrder(TreeNode* root) {
        if (!root) return {};
        vector<vector<int>> res;
        queue<TreeNode*> q{{root}};
        while (!q.empty()) {
            vector<int> oneLevel;
            for (int i = q.size(); i > 0; --i) {
                TreeNode *t = q.front(); q.pop();
                oneLevel.push_back(t->val);
                if (t->left) q.push(t->left);
                if (t->right) q.push(t->right);
            }
            res.push_back(oneLevel);
        }
        return res;
    }
};

 

下面來看遞歸的寫法，核心就在於需要一個二維數組，和一個變量 level，關於 level 的作用可以參見博主的另一篇博客 Binary Tree Level Order Traversal II 中的講解，參見代碼如下：

 

解法二：

class Solution {
public:
    vector<vector<int>> levelOrder(TreeNode* root) {
        vector<vector<int>> res;
        levelorder(root, 0, res);
        return res;
    }
    void levelorder(TreeNode* node, int level, vector<vector<int>>& res) {
        if (!node) return;
        if (res.size() == level) res.push_back({});
        res[level].push_back(node->val);
        if (node->left) levelorder(node->left, level + 1, res);
        if (node->right) levelorder(node->right, level + 1, res);
    }
};

 

Github 同步地址：

https://github.com/grandyang/leetcode/issues/102

 

類似題目：

Binary Tree Level Order Traversal II

Binary Tree Zigzag Level Order Traversal

Minimum Depth of Binary Tree

Binary Tree Vertical Order Traversal 

Average of Levels in Binary Tree

N-ary Tree Level Order Traversal

 

參考資料：

https://leetcode.com/problems/binary-tree-level-order-traversal/

https://leetcode.com/problems/binary-tree-level-order-traversal/discuss/33445/Java-Solution-using-DFS

https://leetcode.com/problems/binary-tree-level-order-traversal/discuss/33450/Java-solution-with-a-queue-used

https://leetcode.com/problems/binary-tree-level-order-traversal/discuss/114449/A-general-approach-to-level-order-traversal-questions-in-Java

 

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