2024-10-26 Daily Challenge

Today I have done leetcode's October LeetCoding Challenge with cpp.

October LeetCoding Challenge 26

Description

Height of Binary Tree After Subtree Removal Queries

You are given the root of a binary tree with n nodes. Each node is assigned a unique value from 1 to n. You are also given an array queries of size m.

You have to perform m independent queries on the tree where in the ith query you do the following:

  • Remove the subtree rooted at the node with the value queries[i] from the tree. It is guaranteed that queries[i] will not be equal to the value of the root.

Return an array answer of size m where answer[i] is the height of the tree after performing the ith query.

Note:

  • The queries are independent, so the tree returns to its initial state after each query.
  • The height of a tree is the number of edges in the longest simple path from the root to some node in the tree.

 

Example 1:

Input: root = [1,3,4,2,null,6,5,null,null,null,null,null,7], queries = [4]
Output: [2]
Explanation: The diagram above shows the tree after removing the subtree rooted at node with value 4.
The height of the tree is 2 (The path 1 -> 3 -> 2).

Example 2:

Input: root = [5,8,9,2,1,3,7,4,6], queries = [3,2,4,8]
Output: [3,2,3,2]
Explanation: We have the following queries:
- Removing the subtree rooted at node with value 3. The height of the tree becomes 3 (The path 5 -> 8 -> 2 -> 4).
- Removing the subtree rooted at node with value 2. The height of the tree becomes 2 (The path 5 -> 8 -> 1).
- Removing the subtree rooted at node with value 4. The height of the tree becomes 3 (The path 5 -> 8 -> 2 -> 6).
- Removing the subtree rooted at node with value 8. The height of the tree becomes 2 (The path 5 -> 9 -> 3).

 

Constraints:

  • The number of nodes in the tree is n.
  • 2 <= n <= 105
  • 1 <= Node.val <= n
  • All the values in the tree are unique.
  • m == queries.length
  • 1 <= m <= min(n, 104)
  • 1 <= queries[i] <= n
  • queries[i] != root.val

Solution

/**
 * Definition for a binary tree node.
 * struct TreeNode {
 *     int val;
 *     TreeNode *left;
 *     TreeNode *right;
 *     TreeNode() : val(0), left(nullptr), right(nullptr) {}
 *     TreeNode(int x) : val(x), left(nullptr), right(nullptr) {}
 *     TreeNode(int x, TreeNode *left, TreeNode *right) : val(x), left(left), right(right) {}
 * };
 */
class Solution {
  using pi = pair<int, int>;
  vector<vector<pi>> maxHeightSubTree;
  map<int, int> level;
  int generateInfo(TreeNode *root, int lv = 0) {
    if(!root) return -1;
    level[root->val] = lv;
    while(maxHeightSubTree.size() <= lv) {
      maxHeightSubTree.push_back({});
    }
    int leftLevel = generateInfo(root->left, lv + 1);
    int rightLevel = generateInfo(root->right, lv + 1);
    int maxLevel = max({lv, leftLevel, rightLevel});
    maxHeightSubTree[lv].push_back({maxLevel, root->val});
    // cout << root->val << ' ' << maxLevel << endl;
    return maxLevel;
  }
  void sortLevels() {
    for(auto &maxHeights : maxHeightSubTree) {
      sort(maxHeights.begin(), maxHeights.end(), greater<pi>());
    }
  }
public:
  vector<int> treeQueries(TreeNode* root, vector<int>& queries) {
    generateInfo(root);
    sortLevels();
    vector<int> answer;
    answer.reserve(queries.size());
    for(auto query : queries) {
      int lv = level[query];
      if(maxHeightSubTree[lv].size() == 1) {
        answer.push_back(lv - 1);
      } else if(maxHeightSubTree[lv][0].second == query) {
        answer.push_back(maxHeightSubTree[lv][1].first);
      } else {
        answer.push_back(maxHeightSubTree[lv][0].first);
      }
    }
    return answer;
  }
};