LeetCode-Sum Root to Leaf Numbers

Sum Root to Leaf Numbers

##题目

####Sum Root to Leaf Numbers

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.

For example,

  1
 / \
2   3

The root-to-leaf path 1->2 represents the number 12.
The root-to-leaf path 1->3 represents the number 13.

Return the sum = 12 + 13 = 25.

##解题思路
这是一道树的题目，一般使用递归来做，主要就是考虑递归条件和结束条件。这道题思路还是比较明确的，目标是把从根到叶子节点的所有路径得到的整数都累加起来，递归条件即是把当前的sum乘以10并且加上当前节点传入下一函数，进行递归，最终把左右子树的总和相加。结束条件的话就是如果一个节点是叶子，那么我们应该累加到结果总和中，如果节点到了空节点，则不是叶子节点，不需要加入到结果中，直接返回0即可

##算法代码
代码采用JAVA实现：

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/**
 * Definition for binary tree
 * public class TreeNode {
 *     int val;
 *     TreeNode left;
 *     TreeNode right;
 *     TreeNode(int x) { val = x; }
 * }
 */
public class Solution {
    public int sumNumbers(TreeNode root) {
    	return helper(root,0);
	}
	private int helper(TreeNode root, int sum)
	{
	    if(root == null)
	        return 0;
	    if(root.left==null && root.right==null)
	        return sum*10+root.val;
	    return helper(root.left,sum*10+root.val)+helper(root.right,sum*10+root.val); //加上左右子树中所有路径的长度
	}
}

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