/**
 * struct TreeNode {
 *	int val;
 *	struct TreeNode *left;
 *	struct TreeNode *right;
 *	TreeNode(int x) : val(x), left(nullptr), right(nullptr) {}
 * };
 */
#include <queue>
class Solution {
public:
    /**
     * 代码中的类名、方法名、参数名已经指定,请勿修改,直接返回方法规定的值即可
     *
     * 
     * @param root TreeNode类 
     * @return int整型
     */
    void dfs(TreeNode* root, int sum, int &max_sum)
    {
        if(!root)
            return;
        
        sum += root->val;
        if(!root->left && !root->right)
        {
            max_sum = max(max_sum, sum);
            return;
        }

        dfs(root->left, sum, max_sum);
        dfs(root->right, sum, max_sum);
    }

    int maxMilkSum(TreeNode* root) {
        // write code here
        // 遍历每个节点r,找出以r为根节点,左子树和右子树中分别找出到叶子节点 和最大的路径
        if(!root)
            return 0;
        
        queue<TreeNode*> q;
        q.push(root);

        int ans = 0;
        while(!q.empty())
        {
            int len = q.size();

            for(int i=0; i<len; ++i)
            {
                TreeNode* t = q.front();
                q.pop();
                int temp_l = 0, temp_r = 0;
                dfs(t->left, 0, temp_l);
                dfs(t->right, 0, temp_r);
                int t_sum = t->val + temp_l + temp_r;

                ans = max(ans, t_sum);

                if(t->left)
                    q.push(t->left);
                if(t->right)
                    q.push(t->right);
            }
        }

        return ans;
    }
};