题目

Given two binary trees and imagine that when you put one of them to cover the other, some nodes of the two trees are overlapped while the others are not.

You need to merge them into a new binary tree. The merge rule is that if two nodes overlap, then sum node values up as the new value of the merged node. Otherwise, the NOT null node will be used as the node of new tree.

思路

直接递归深度遍历两棵树就可以，类似归并排序的步骤。

代码

#include <iostream>
#include <stack>

using namespace std;

struct TreeNode {
    int val;
    TreeNode *left;
    TreeNode *right;
    TreeNode(int x) : val(x), left(NULL), right(NULL) {}
};

/**
 * Definition for a binary tree node.
 * struct TreeNode {
 *     int val;
 *     TreeNode *left;
 *     TreeNode *right;
 *     TreeNode(int x) : val(x), left(NULL), right(NULL) {}
 * };
 */
class Solution {
public:
    TreeNode* mergeTrees(TreeNode* t1, TreeNode* t2) {
      TreeNode *root = NULL;
      TreeNode *p1 = t1;
      TreeNode *p2 = t2;
      
      if (p1 != NULL && p2 != NULL) {
        int val = p1->val + p2->val;
        root = new TreeNode(val);
        root->left = this->mergeTrees(p1->left, p2->left);
        root->right = this->mergeTrees(p1->right, p2->right);
      } else if (p1 != NULL) {
        root = new TreeNode(p1->val);
        root->left = this->mergeTrees(p1->left, NULL);
        root->right = this->mergeTrees(p1->right, NULL);
      } else if (p2 != NULL) {
        root = new TreeNode(p2->val);
        root->left = this->mergeTrees(p2->left, NULL);
        root->right = this->mergeTrees(p2->right, NULL);
      }
      return root;
    }

    void preOrderTravel(TreeNode *tree) {
      TreeNode *p = tree;
      std::stack<TreeNode *> stack;

      while (p != NULL) {
        std::cout << p->val << " ";
        if (p->right != NULL) {
          stack.push(p->right);
        }
        p = p->left;
        if (p == NULL && !stack.empty()) {
          p = stack.top();
          stack.pop();
        }
      }
      std::cout << std::endl;
    }

    void destroy(TreeNode *tree) {
      TreeNode *p = tree;
      std::stack<TreeNode *> stack;

      while (p != NULL) {
        if (p->right != NULL) {
          stack.push(p->right);
        }
        TreeNode *toDelete = p;
        p = p->left;
        if (p == NULL && !stack.empty()) {
          p = stack.top();
          stack.pop();
        }
        delete toDelete;
      }
    }
};

int main() {
  Solution sln;
  // TreeNode *t1 = new TreeNode(1);
  // t1->left = new TreeNode(3);
  // t1->right = new TreeNode(2);
  // t1->left->left = new TreeNode(5);

  // TreeNode *t2 = new TreeNode(2);
  // t2->left = new TreeNode(1);
  // t2->right = new TreeNode(3);
  // t2->left->right = new TreeNode(4);
  // t2->right->right = new TreeNode(7);

  TreeNode *t1 = new TreeNode(1);
  t1->left = new TreeNode(2);
  t1->left->left = new TreeNode(3);

  TreeNode *t2 = new TreeNode(1);
  t2->right = new TreeNode(2);
  t2->right->right = new TreeNode(3);

  sln.preOrderTravel(t1);
  sln.preOrderTravel(t2);
  TreeNode *t3 = sln.mergeTrees(t1, t2);
  sln.preOrderTravel(t3);

  sln.destroy(t1);
  sln.destroy(t2);
  sln.destroy(t3);

  return 0;
}