Given a binary tree containing digits from 0-9 only, each root-to-leaf path could represent a number.
An example is the root-to-leaf path 1->2->3 which represents the number 123.
Find the total sum of all root-to-leaf numbers.
Note: A leaf is a node with no children.
Example:
Input: [1,2,3]
1
/ \
2 3
Output: 25
Explanation:
The root-to-leaf path 1->2 represents the number 12.
The root-to-leaf path 1->3 represents the number 13.
Therefore, sum = 12 + 13 = 25.
Example 2:
Input: [4,9,0,5,1]
4
/ \
9 0
/ \
5 1
Output: 1026
Explanation:
The root-to-leaf path 4->9->5 represents the number 495.
The root-to-leaf path 4->9->1 represents the number 491.
The root-to-leaf path 4->0 represents the number 40.
Therefore, sum = 495 + 491 + 40 = 1026.
// Preorder traversal
void helper(TreeNode* node, int cur, int& res) {
if (!node) return;
cur = cur * 10 + node->val;
if (!node->left && !node->right) {
res += cur;
return;
}
helper(node->left, cur, res);
helper(node->right, cur, res);
}
int sumNumbers(TreeNode* root) { // time: O(n); space: O(n)
if (!root) return 0;
int res = 0;
helper(root, 0, res);
return res;
}