题目
Given two binary trees and imagine that when you put one of them to cover the other, some nodes of the two trees are overlapped while the others are not.
You need to merge them into a new binary tree. The merge rule is that if two nodes overlap, then sum node values up as the new value of the merged node. Otherwise, the NOT null node will be used as the node of new tree.
Example 1:
Input:
Tree 1 Tree 2
1 2
/ \ / \
3 2 1 3
/ \ \
5 4 7
Output:
Merged tree:
3
/ \
4 5
/ \ \
5 4 7
方法
采用递归的方法。假设有2个根节点t1
,t2
,用t1
保存最后的合并结果。如果t1
和t2
都不为空,则t1.val = t1.val+t2.val
,递归调用赋值t1.left = mergeTrees(t1.left, t2.left)
和t1.right = mergeTrees(t1.right, t2.right)
; 如果t1
为空,t2
不为空,则t1 = t2
,最后返回t1
节点
难度
Easy
python代码
# 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 mergeTrees(self, t1, t2):
"""
:type t1: TreeNode
:type t2: TreeNode
:rtype: TreeNode
"""
if t1 and t2:
t1.val += t2.val
t1.left = self.mergeTrees(t1.left, t2.left)
t1.right = self.mergeTrees(t1.right, t2.right)
elif t2:
t1 = t2
return t1
root1 = TreeNode(1)
left1 = TreeNode(3)
right1 = TreeNode(2)
root1.left = left1
root1.right = right1
root2 = TreeNode(2)
left2 = TreeNode(1)
right2 = TreeNode(3)
root2.left = left2
root2.right = right2
root = Solution().mergeTrees(root1, root2)
assert root.val == 3
assert root.left.val == 4
assert root.right.val == 5