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wind-liang committed Jul 20, 2019
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5 changes: 3 additions & 2 deletions SUMMARY.md
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* [99. Recover Binary Search Tree](leetcode-99-Recover-Binary-Search-Tree.md)
* [100. Same Tree](leetcode-100-Same-Tree.md)
* [leetcode 100 斩!回顾](leetcode100斩回顾.md)
* [101 题到 106](leetcode-101-200.md)
* [101 题到 107](leetcode-101-200.md)
* [101. Symmetric Tree](leetcode-101-Symmetric-Tree.md)
* [102. Binary Tree Level Order Traversal](leetcode-102-Binary-Tree-Level-Order-Traversal.md)
* [103. Binary Tree Zigzag Level Order Traversal](leetcode-103-Binary-Tree-Zigzag-Level-Order-Traversal.md)
* [104. Maximum Depth of Binary Tree](leetcode-104-Maximum-Depth-of-Binary-Tree.md)
* [105. Construct Binary Tree from Preorder and Inorder Traversal](leetcode-105-Construct-Binary-Tree-from-Preorder-and-Inorder-Traversal.md)
* [106. Construct Binary Tree from Inorder and Postorder Traversal](leetcode-106-Construct-Binary-Tree-from-Inorder-and-Postorder-Traversal.md)
* [106. Construct Binary Tree from Inorder and Postorder Traversal](leetcode-106-Construct-Binary-Tree-from-Inorder-and-Postorder-Traversal.md)
* [107. Binary Tree Level Order Traversal II](leetcode-107-Binary-Tree-Level-Order-TraversalII.md)
4 changes: 3 additions & 1 deletion leetcode-101-200.md
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<a href="leetcode-105-Construct-Binary-Tree-from-Preorder-and-Inorder-Traversal.html">105. Construct Binary Tree from Preorder and Inorder Traversal</a>

<a href="leetcode-106-Construct-Binary-Tree-from-Inorder-and-Postorder-Traversal.html">106. Construct Binary Tree from Inorder and Postorder Traversal</a>
<a href="leetcode-106-Construct-Binary-Tree-from-Inorder-and-Postorder-Traversal.html">106. Construct Binary Tree from Inorder and Postorder Traversal</a>

<a href="leetcode-107-Binary-Tree-Level-Order-TraversalII.html">107. Binary Tree Level Order Traversal II</a>
173 changes: 173 additions & 0 deletions leetcode-107-Binary-Tree-Level-Order-TraversalII.md
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# 题目描述(简单难度)

![](https://windliang.oss-cn-beijing.aliyuncs.com/107.jpg)

树的层次遍历,和 [102 题](<https://leetcode.wang/leetcode-102-Binary-Tree-Level-Order-Traversal.html>) 的不同之处是,之前输出的数组顺序是从根部一层一层的输出,现在是从底部,一层一层的输出。

# 解法一 DFS

[102 题](<https://leetcode.wang/leetcode-102-Binary-Tree-Level-Order-Traversal.html>)`DFS`贴过来看一下。

```java
public List<List<Integer>> levelOrder(TreeNode root) {
List<List<Integer>> ans = new ArrayList<>();
DFS(root, 0, ans);
return ans;
}

private void DFS(TreeNode root, int level, List<List<Integer>> ans) {
if(root == null){
return;
}
//当前层数还没有元素,先 new 一个空的列表
if(ans.size()<=level){
ans.add(new ArrayList<>());
}
//当前值加入
ans.get(level).add(root.val);

DFS(root.left,level+1,ans);
DFS(root.right,level+1,ans);
}
```

之前我们根据 level 得到数组的位置,然后添加。

```java
ans.get(level).add(root.val);

ans [] [] [] [] [].
index 0 1 2 3 4
level 0 1 2 3 4
------------>
index = 0 + level

现在 level 是逆过来存的
ans [] [] [] [] [].
index 0 1 2 3 4
level 4 3 2 1 0
<------------
index = 4 - level

4 就是 ans 的末尾下标,就是 ans.size() - 1
所以代码变为
ans.get(ans.size() - 1 - level).add(root.val);
```

此外还有句代码要改。

```java
if(ans.size()<=level){
ans.add(new ArrayList<>());
}
在添加当前 level 的第一个元素的时候,首先添加一个空列表到 ans 中
假设当前 level = 2,ans 中只添加了 level 是 01 的元素
ans [3] [9]
index 0 1
level 1 0
因为 level 是从右往左增加的,所以空列表要到 ans 的头部
ans [] [3] [9]
index 0 1 2
level 2 1 0
所以代码改成下边的样子
ans.add(0new ArrayList<>());
```

综上,只要改了这两处就可以了。

```java
public List<List<Integer>> levelOrderBottom(TreeNode root) {
List<List<Integer>> ans = new ArrayList<>();
DFS(root, 0, ans);
return ans;
}

private void DFS(TreeNode root, int level, List<List<Integer>> ans) {
if (root == null) {
return;
}
// 当前层数还没有元素,先 new 一个空的列表
if (ans.size() <= level) {
ans.add(0, new ArrayList<>());
}
// 当前值加入
ans.get(ans.size() - 1 - level).add(root.val);

DFS(root.left, level + 1, ans);
DFS(root.right, level + 1, ans);
}
```

# 解法二 BFS

[102 题](<https://leetcode.wang/leetcode-102-Binary-Tree-Level-Order-Traversal.html>) 从根节点往下走的代码贴过来。

```java
public List<List<Integer>> levelOrder(TreeNode root) {
Queue<TreeNode> queue = new LinkedList<TreeNode>();
List<List<Integer>> ans = new LinkedList<List<Integer>>();
if (root == null)
return ans;
queue.offer(root);
while (!queue.isEmpty()) {
int levelNum = queue.size(); // 当前层元素的个数
List<Integer> subList = new LinkedList<Integer>();
for (int i = 0; i < levelNum; i++) {
TreeNode curNode = queue.poll();
if (curNode != null) {
subList.add(curNode.val);
queue.offer(curNode.left);
queue.offer(curNode.right);
}
}
if(subList.size()>0){
ans.add(subList);
}
}
return ans;
}
```

`BFS`相比于`DFS`要简单些,因为`BFS`是一次性把当前层的元素都添加到`ans`中,所以我们只需要改一句代码。

```java
ans.add(subList);
```

改成添加到头部即可。

```java
ans.add(0,subList);
```

再改个函数名字, 总体代码就是

```java
public List<List<Integer>> levelOrderBottom(TreeNode root) {
Queue<TreeNode> queue = new LinkedList<TreeNode>();
List<List<Integer>> ans = new LinkedList<List<Integer>>();
if (root == null)
return ans;
queue.offer(root);
while (!queue.isEmpty()) {
int levelNum = queue.size(); // 当前层元素的个数
List<Integer> subList = new LinkedList<Integer>();
for (int i = 0; i < levelNum; i++) {
TreeNode curNode = queue.poll();
if (curNode != null) {
subList.add(curNode.val);
queue.offer(curNode.left);
queue.offer(curNode.right);
}
}
if (subList.size() > 0) {
ans.add(0, subList);
}
}
return ans;
}
```

#

这道题依旧考层次遍历,只需要在 [102 题](<https://leetcode.wang/leetcode-102-Binary-Tree-Level-Order-Traversal.html>) 的基础上,找到 `level``index` 的对应关系即可。

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