[Leetcode] 663. Equal Tree Partition 解题报告_python leetcode 663.均匀树划分-优快云博客

本文链接：https://blog.youkuaiyun.com/magicbean2/article/details/79183244

这篇博客介绍了LeetCode 663题目的解法，探讨如何找到一棵二叉树中能使得分割后两部分和相等的删除边。通过建立哈希表记录子树和，遍历寻找一半总和的节点来实现解决方案。

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题目：

Given a binary tree with n nodes, your task is to check if it's possible to partition the tree to two trees which have the equal sum of values after removing exactly one edge on the original tree.

Example 1:

Input:     
    5
   / \
  10 10
    /  \
   2   3

Output: True
Explanation: 
    5
   / 
  10
      
Sum: 15

   10
  /  \
 2    3

Sum: 15

Example 2:

Input:     
    1
   / \
  2  10
    /  \
   2   20

Output: False
Explanation: You can't split the tree into two trees with equal sum after removing exactly one edge on the tree.

Note:

The range of tree node value is in the range of [-100000, 100000].
1 <= n <= 10000

思路：

我们建立一个哈希表，记录每个节点对应的子树的和，然后遍历树中的每一个子节点，一旦发现该子节点的和为整个树的和的一半，就说明找到了一个符合条件的split，从这里切分，可以将整个树划分成为和相等的两棵树。

代码：

/**
 * 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:
    bool checkEqualTree(TreeNode* root) {
        unordered_map<TreeNode*, int> hash;     // node -> sum
        int sum = getSum(root, hash);
        if (sum % 2 != 0) {
            return false;
        }
        return canSplit(root, hash, sum / 2);
    }
private:
    bool canSplit(TreeNode* root, unordered_map<TreeNode*, int> &hash, int half_sum) {
        if (root == NULL) {
            return false;
        }
        if (root->left && hash[root->left] == half_sum) {
            return true;
        }
        if (root->right && hash[root->right] == half_sum) {
            return true;
        }
        return canSplit(root->left, hash, half_sum) || canSplit(root->right, hash, half_sum);
    }
    int getSum(TreeNode* root, unordered_map<TreeNode*, int> &hash) {
        if (root == NULL) {
            return 0;
        }
        int left = getSum(root->left, hash);
        int right = getSum(root->right, hash);
        int sum = left + right + root->val;
        hash[root] = sum;
        return sum;
    }
};