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BinaryTreeTilt.js
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// Source : https://leetcode.com/problems/binary-tree-tilt
// Author : Dean Shi
// Date : 2017-04-27
/***************************************************************************************
*
* 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
*
* Note:
*
* The sum of node values in any subtree won't exceed the range of 32-bit integer.
* All the tilt values won't exceed the range of 32-bit integer.
*
*
***************************************************************************************/
/**
* Definition for a binary tree node.
* function TreeNode(val) {
* this.val = val;
* this.left = this.right = null;
* }
*/
/**
* @param {TreeNode} root
* @return {number}
*/
var findTilt = function(root) {
return postorder(root)[1]
};
function postorder(root, tilt = 0) {
if (!root) return [0, tilt]
let left, right
[left, tilt] = postorder(root.left, tilt);
[right, tilt] = postorder(root.right, tilt);
tilt += Math.abs(left - right)
return [left + right + root.val, tilt]
}