Given a binary tree, return the tilt of the whole tree.
The tilt of a tree node is defined as the absolute difference between the sum of all left subtree node values and the sum of all right subtree node values. Null node has tilt 0.
The tilt of the whole tree is defined as the sum of all nodes' tilt.
Example:
Input:
1
/
2 3
Output: 1
Explanation:
Tilt of node 2 : 0
Tilt of node 3 : 0
Tilt of node 1 : |2-3| = 1
Tilt of binary tree : 0 + 0 + 1 = 1
Solution:
- naive solution, recursively get every node's tilt by treating every node as a root and traverse the left subtree and right subtree,
there is gonna be too much repetitions
1 #1st niave recursive 2 def findTiltSumHelper(root): 3 if root is None: 4 return 0 5 return findTiltSumHelper(root.left) + root.val + findTiltSumHelper(root.right) 6 7 if root is None: 8 return 0 9 return self.findTilt(root.left) + abs(findTiltSumHelper(root.left) - findTiltSumHelper(root.right)) + self.findTilt(root.right)
2.
1 def findTiltSumHelper(root): 2 if root is None: 3 return 0 4 left = findTiltSumHelper(root.left) 5 right = findTiltSumHelper(root.right) 6 tmp = abs(left - right) 7 self.ansSum += tmp 8 return left + root.val + right 9 10 findTiltSumHelper(root) 11 return self.ansSum