Grind75 Notes
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    • Two Sum
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    • Merge Two Sorted Lists
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    • Valid Palindrome
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    • Valid Anagram
    • Binary Search
    • Flood Fill
    • Lowest Common Ancestor of a Binary Search Tree
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  • week-2
    • First Bad Version
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    • Longest Palindrome
    • Reverse Linked List
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    • Contains Duplicate
    • Maximum Subarray
  • week-3
    • Insert Interval
    • 01 Matrix
    • K Closest Points to Origin
    • Longest Substring Without Repeating Characters
    • 3Sum
    • Binary Tree Level Order Traversal
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    • Evaluate Reverse Polish Notation
  • week-4
    • Course Schedule
    • Implement Trie (Prefix Tree)
    • Coin Change
    • Product of Array Except Self
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    • Number of Islands
    • Rotting Oranges
  • week-5
    • Search in Rotated Sorted Array
    • Combination Sum
    • Permutations
    • Merge Intervals
    • Lowest Common Ancestor of a Binary Tree
    • Time Based Key-Value Store
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  • week-6
    • Word Break
    • Partition Equal Subset Sum
    • String to Integer (atoi)
    • Spiral Matrix
    • Subsets
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    • Longest Palindromic Substring
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    • Construct Binary Tree from Preorder and Inorder Traversal
  • week-7
    • Container With Most Water
    • Letter Combinations of a Phone Number
    • Word Search
    • Find All Anagrams in a String
    • Minimum Height Trees
    • Task Scheduler
    • LRU Cache
  • week-8
    • Kth Smallest Element in a BST
    • Minimum Window Substring
    • Serialize and Deserialize Binary Tree
    • Trapping Rain Water
    • Find Median from Data Stream
    • Word Ladder
    • Basic Calculator
    • Maximum Profit in Job Scheduling
    • Merge k Sorted Lists
    • Largest Rectangle in Histogram
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  • Problem
  • Pseudocode
  • Solution
  • Time and Space Complexity
  1. week-8

Kth Smallest Element in a BST

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Last updated 2 years ago

Problem

Given the root of a binary search tree, and an integer k, return the kth 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

Pseudocode

- leverage on behaviour of dfs
    - recurse to end of left child node
    - then return the kth node

Solution

// BST - node.right < node < node.left
// kth smallest - need to find the smallest, then find the kth smallest on the way back
var kthSmallest = function (root, k) {
  let count = 0;
  let smallestK = null;

  function walk(node) {
    // base condition
    if (!node) {
      return 0;
    }

    // pre
    // recurse
    walk(node.left);
    count++;
    // console.log(`smallest ${count}: ${node.val}`)
    if (count === k) {
      smallestK = node.val;
    }
    walk(node.right);
    // post
  }

  walk(root);

  return smallestK;
};

Time and Space Complexity

Time

  • What did the code do

  • Total -

Space

  • What did the code do

  • Total -

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