LeetCode //C - 230. Kth Smallest Element in a BST

230. Kth Smallest Element in a BST

Given the root of a binary search tree, and an integer k, return the $k^{th}$ smallest value (1-indexed) of all the values of the nodes in the tree.
 

Example 1:

Input: root = [3,1,4,null,2], k = 1
Output: 1

Example 2:

Input: root = [5,3,6,2,4,null,null,1], k = 3
Output: 3

Constraints:

• The number of nodes in the tree is n.
• $1<=k<=n<=10^4$
• $0<=Node.val<=10^4$

From: LeetCode
Link: 230. Kth Smallest Element in a BST

---

Solution:

Ideas：

Here’s how the algorithm will work:

1. Perform an in-order traversal of the BST.
2. As you traverse the nodes, keep a count of the nodes visited.
3. When the count becomes equal to k, that node’s value is the kth smallest. current node and the previous node.

Code:

/**
 * Definition for a binary tree node.
 * struct TreeNode {
 *     int val;
 *     struct TreeNode *left;
 *     struct TreeNode *right;
 * };
 */
typedef struct {
    
    
    int count;
    int value;
} Result;

void inOrderTraversal(struct TreeNode* root, int k, Result* res) {
    
    
    if (root == NULL || res->count == k) return;

    inOrderTraversal(root->left, k, res);
    if (++res->count == k) {
    
    
        res->value = root->val;
    }
    inOrderTraversal(root->right, k, res);
}

int kthSmallest(struct TreeNode* root, int k) {
    
    
    Result res = {
    
    0, 0};
    inOrderTraversal(root, k, &res);
    return res.value;
}