# 112. Path Sum 路径总和

@TOC

## # 题目描述

Given a binary tree and a sum, determine if the tree has a root-to-leaf path such that adding up all the values along the path equals the given sum.

For example: Given the below binary tree and sum = 22,

``````          5
/ \
4   8
/   / \
11  13  4
/  \      \
7    2      1
``````

return true, as there exist a root-to-leaf path 5->4->11->2 which sum is 22.

## # 解题方法

### # DFS

``````def hasPathSum(self, root: TreeNode, sum: int) -> bool:
if not root:
return sum == 0
return self.hasPathSum(root.left, sum - root.val) or self.hasPathSum(root.right, sum - root.val)
``````

Python 代码如下：

``````# Definition for a binary tree node.
# class TreeNode(object):
#     def __init__(self, x):
#         self.val = x
#         self.left = None
#         self.right = None

class Solution(object):
def hasPathSum(self, root, sum):
"""
:type root: TreeNode
:type sum: int
:rtype: bool
"""
if not root: return False
if not root.left and not root.right:
return sum == root.val
return self.hasPathSum(root.left, sum - root.val) or self.hasPathSum(root.right, sum - root.val)
``````

Java 代码如下：

``````/**
* Definition for a binary tree node.
* public class TreeNode {
*     int val;
*     TreeNode left;
*     TreeNode right;
*     TreeNode(int x) { val = x; }
* }
*/
public class Solution {
public boolean hasPathSum(TreeNode root, int sum) {
if(root == null){
return false;
}
if(root.left == null && root.right == null){
return root.val == sum;
}
return hasPathSum(root.left, sum - root.val) || hasPathSum(root.right, sum - root.val);

}
}
``````

### # 回溯

Python 代码如下：

``````# Definition for a binary tree node.
# class TreeNode(object):
#     def __init__(self, x):
#         self.val = x
#         self.left = None
#         self.right = None

class Solution(object):
def hasPathSum(self, root, sum):
"""
:type root: TreeNode
:type sum: int
:rtype: bool
"""
if not root: return False
res = []
return self.dfs(root, sum, res, [root.val])

def dfs(self, root, target, res, path):
if not root: return False
if sum(path) == target and not root.left and not root.right:
return True
left_flag, right_flag = False, False
if root.left:
left_flag = self.dfs(root.left, target, res, path + [root.left.val])
if root.right:
right_flag = self.dfs(root.right, target, res, path + [root.right.val])
return left_flag or right_flag
``````

### # BFS

BFS 使用 队列 保存遍历到每个节点时的路径和，如果该节点恰好是叶子节点，并且 路径和 正好等于 sum，说明找到了解。

Python 代码如下：

``````# Definition for a binary tree node.
# class TreeNode:
#     def __init__(self, x):
#         self.val = x
#         self.left = None
#         self.right = None

class Solution:
def hasPathSum(self, root: TreeNode, sum: int) -> bool:
if not root:
return False
que = collections.deque()
que.append((root, root.val))
while que:
node, path = que.popleft()
if not node.left and not node.right and path == sum:
return True
if node.left:
que.append((node.left, path + node.left.val))
if node.right:
que.append((node.right, path + node.right.val))
return False
``````

### # 栈

Python 代码如下：

``````# Definition for a binary tree node.
# class TreeNode(object):
#     def __init__(self, x):
#         self.val = x
#         self.left = None
#         self.right = None

class Solution(object):
def hasPathSum(self, root, sum):
"""
:type root: TreeNode
:type sum: int
:rtype: bool
"""
if not root:
return False
stack = []
stack.append((root, root.val))
while stack:
node, path = stack.pop()
if not node.left and not node.right and path == sum:
return True
if node.left:
stack.append((node.left, path + node.left.val))
if node.right:
stack.append((node.right, path + node.right.val))
return False
``````

## # 日期

2017 年 5 月 12 日 2018 年 6 月 22 日 2018 年 11 月 24 日 —— 周六快乐 2020 年 7 月 7 日 —— 昨日 A 股涨了5.7%，5 年来的最高单日涨幅