Given the root
of a binary tree, find the maximum average value of any subtree of that tree.
(A subtree of a tree is any node of that tree plus all its descendants. The average value of a tree is the sum of its values, divided by the number of nodes.)
Example 1:
Input: [5,6,1] Output: 6.00000 Explanation: For the node with value = 5 we have an average of (5 + 6 + 1) / 3 = 4. For the node with value = 6 we have an average of 6 / 1 = 6. For the node with value = 1 we have an average of 1 / 1 = 1. So the answer is 6 which is the maximum.
Note:
- The number of nodes in the tree is between
1
and5000
. - Each node will have a value between
0
and100000
. - Answers will be accepted as correct if they are within
10^-5
of the correct answer.