Sum Root to Leaf Numbers 求所有二叉树根到叶子节点路径之和 @LeetCode

本文介绍了一个处理二叉树中从根到叶子节点路径所代表数字之和的算法,通过递归实现路径数字的求和。

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典型树形递归题,主要是要处理好根节点为null,叶子节点的情况


package Level3;

import Utility.TreeNode;

/**
 * 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.
 *
 */
public class S131 {

	public static void main(String[] args) {
		TreeNode root = new TreeNode(1);
		TreeNode n1 = new TreeNode(2);
		TreeNode n2 = new TreeNode(3);
		root.left = n1;
		root.right = n2;
		
		System.out.println(sumNumbers(root));
	}

	public static int sumNumbers(TreeNode root) {
		StringBuffer sb = new StringBuffer();
		return rec(root, sb);
	}
	
	public static int rec(TreeNode root, StringBuffer sb){
		if(root==null){
			return 0;
		}
		
		// 处理叶子节点情况
		if(root.left==null && root.right==null){
			// 临时添加入叶子节点然后再删除恢复现场
			int val = Integer.parseInt(sb.append(root.val).toString());
			sb.deleteCharAt(sb.length()-1);
			return val;
		}
		
		sb.append(root.val);
		int a = rec(root.left, sb);
		int b = rec(root.right, sb);
		sb.deleteCharAt(sb.length()-1);
		return a+b;
	}
}


Second try:

    public static int sumNumbers(TreeNode root) {
		return rec2(root, 0);
	}
	
	public static int rec2(TreeNode root, int n){
		if(root == null){
			return 0;
		}
		n = n*10 + root.val;
		if(root.left==null && root.right==null){
			return n;
		}
		return rec2(root.left, n) + rec2(root.right, n);
	}


/**
 * 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) {
        int[] sum = new int[1];
        recAdd(root, sum, 0);
        return sum[0];
    }
    
    public void recAdd(TreeNode root, int[] sum, int path) {
        if(root == null) {
            return;
        }
        
        if(root.left==null && root.right==null){
            path = path*10 + root.val;
            sum[0] += path;
            return;
        }
        
        path = path*10 + root.val;
        recAdd(root.left, sum, path);
        recAdd(root.right, sum, path);
    }
}




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