chore: clean up content phase organization

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---
title: '153. Find Minimum in Rotated Sorted Array'
description: 'Suppose an array of length n sorted in ascending order is rotated between 1 and n times. For example, the array nums = [0,1,2,4,5,6,7] might become:'
sidebar:
label: 'Find Minimum in Rotated Sorted Array'
badge: 'Medium'
---
<Badge variant="accent">Array</Badge>
::::warning
Notice that rotating an array [a[0], a[1], a[2], ..., a[n-1]] 1 time results in the array [a[n-1], a[0], a[1], a[2], ..., a[n-2]].
::::
### Example 1:
- Input: `nums = [3,4,5,1,2]`
- Output: `1`
- Explanation: The original array was `[1,2,3,4,5]` rotated `3` times.
### Example 2:
- Input: `nums = [4,5,6,7,0,1,2]`
- Output: `0`
- Explanation: The original array was `[0,1,2,4,5,6,7]` and it was rotated `4` times.
### Example 3:
- Input: `nums = [11,13,15,17]`
- Output: `11`
- Explanation: The original array was `[11,13,15,17]` and it was rotated `4` times.
### Constraints:
- `n == nums.length`
- `1 <= n <= 5000`
- `-5000 <= nums[i] <= 5000`
- All the integers of `nums` are unique.
- `nums` is sorted and rotated between 1 and `n` times.
## Approach
```mermaid
flowchart TD
S(["findMin(nums)"]) --> I["l = 0, r = n-1, lowest_index = -1"]
I --> W{"l <= r?"}
W -- no --> E(["return nums[lowest_index]"])
W -- yes --> M["m = (l + r) // 2"]
M --> C{"nums[m] <= nums[-1]?"}
C -- yes --> A["in the right sorted run: record lowest_index = m, r = m - 1"]
A --> W
C -- no --> B["still in the left sorted run: l = m + 1"]
B --> W
```
## Solution
```py
class Solution:
def findMin(self, nums: List[int]) -> int:
l, r = 0, len(nums) - 1
lowest_index = -1
while l <= r:
m = (l + r) // 2
if nums[m] <= nums[-1]:
lowest_index = m
r = m - 1
else:
l = m + 1
return nums[lowest_index]
```
## Explanation
<YouTube id="nIVW4P8b1VA" title="Find Minimum in Rotated Sorted Array - Binary Search - Leetcode 153 - Python" />
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---
title: '33. Search in Rotated Sorted Array'
description: There is an integer array nums sorted in ascending order (with distinct values)
sidebar:
label: 'Search in Rotated Sorted Array'
badge: 'Medium'
---
<Badge variant="accent">Array</Badge>
::::warning
You must write an algorithm with O(log n) runtime complexity.
::::
### Example 1:
- Input: `nums = [4,5,6,7,0,1,2], target = 0`
- Output: `4`
### Example 2:
- Input: `nums = [4,5,6,7,0,1,2], target = 3`
- Output: `-1`
### Example 3:
- Input: `nums = [1], target = 0`
- Output: `-1`
### Constraints:
- `1 <= nums.length <= 5000`
- `-10^4 <= nums[i] <= 10^4`
- All values of `nums` are unique.
- `nums` is an ascending array that is possibly rotated.
- `-10^4 <= target <= 10^4`
## Approach
```mermaid
flowchart TD
S(["search(nums, target)"]) --> I["l = 0, r = n - 1"]
I --> W{"l <= r?"}
W -- no --> E(["return -1"])
W -- yes --> M["mid = floor((l + r) / 2)"]
M --> F{"nums[mid] == target?"}
F -- yes --> R(["return mid"])
F -- no --> H{"nums[l] <= nums[mid]? — left half sorted"}
H -- yes --> A{"target outside [nums[l], nums[mid]]?"}
A -- yes --> A1["l = mid + 1 — search the right half"]
A -- no --> A2["r = mid - 1"]
H -- no --> B{"target outside [nums[mid], nums[r]]?"}
B -- yes --> B1["r = mid - 1 — search the left half"]
B -- no --> B2["l = mid + 1"]
A1 --> W
A2 --> W
B1 --> W
B2 --> W
```
## Solution
```js
/**
* @param {number[]} nums
* @param {number} target
* @return {number}
*/
var search = function(nums, target) {
let l = 0, r = nums.length - 1;
while (l <= r){
let mid = Math.floor((l + r)/2);
if (target === nums[mid]) {
return mid
}
// Left sorted portion
if (nums[l] <= nums[mid]){
if (target > nums[mid] || target < nums[l]){
l = mid + 1;
}else{
r = mid - 1;
}
}
// Right sorted portion
else{
if(target < nums[mid] || target > nums[r]){
r = mid - 1;
}else{
l = mid + 1;
}
}
}
return -1;
};
```
## Explanation
<YouTube id="U8XENwh8Oy8" title="Search in rotated sorted array - Leetcode 33 - Python" />
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---
title: '35. Search Insert Position'
description: Given a sorted array of distinct integers and a target value, return the index if the target is found. If not, return the index where it would be if it were inserted in order
sidebar:
label: 'Search Insert Position'
badge: 'Easy'
---
<Badge variant="accent">Array</Badge>
::::warning
You must write an algorithm with O(log n) runtime complexity.
::::
### Example 1:
- Input: `nums = [1,3,5,6], target = 5`
- Output: `2`
### Example 2:
- Input: `nums = [1,3,5,6], target = 2`
- Output: `1`
### Example 3:
- Input: `nums = [1,3,5,6], target = 7`
- Output: `4`
### Constraints:
- `1 <= nums.length <= 10^4`
- `-10^4 <= nums[i] <= 10^4`
- `nums` contains distinct values sorted in ascending order.
- `-10^4 <= target <= 10^4`
## Approach
```mermaid
flowchart TD
S(["searchInsert(nums, target)"]) --> I["l = 0, r = n - 1"]
I --> W{"l <= r?"}
W -- yes --> M["m = (l + r) // 2"]
M --> Q{"nums[m] vs target"}
Q -- equal --> R(["return m"])
Q -- "nums[m] < target" --> L["l = m + 1"]
L --> W
Q -- "nums[m] > target" --> H["r = m - 1"]
H --> W
W -- no --> E(["return (l + r) // 2 + 1 — the insert slot"])
```
## Solution
```py
class Solution:
def searchInsert(self, nums: List[int], target: int) -> int:
l, r = 0, len(nums) - 1
while l <= r:
m = (l + r) // 2
if nums[m] == target:
return m
elif nums[m] < target:
l = m + 1
elif nums[m] > target:
r = m - 1
return (l + r) // 2 + 1
```
## Explanation
<YouTube id="K-RYzDZkzCI" title="Search Insert Position - Binary Search - Leetcode 35 - Python" />
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---
title: '704. Binary Search'
description: Given an array of integers nums which is sorted in ascending order, and an integer target, write a function to search target in nums. If target exists, then return its index. Otherwise, return -1
sidebar:
label: 'Binary Search'
badge: 'Easy'
---
<Badge variant="accent">Array</Badge>
::::warning
You must write an algorithm with O(log n) runtime complexity.
::::
### Example 1:
- Input: `nums = [-1,0,3,5,9,12], target = 9`
- Output: `4`
- Explanation: `9` exists in `nums` and its index is `4`
### Example 2:
- Input: `nums = [-1,0,3,5,9,12], target = 2`
- Output: `-1`
- Explanation: `2` does not exist in `nums` so return `-1`
### Constraints:
- `1 <= nums.length <= 10^4`
- `-10^4 < nums[i], target < 10^4`
- All the integers in `nums` are unique.
- `nums` is sorted in ascending order.
## Approach
```mermaid
flowchart TD
S(["search(nums, target)"]) --> I["left = 0, right = n - 1"]
I --> W{"left <= right?"}
W -- no --> E(["return -1"])
W -- yes --> M["mid = left + floor((right - left) / 2)"]
M --> Q{"nums[mid] vs target"}
Q -- equal --> R(["return mid"])
Q -- "nums[mid] < target" --> L["left = mid + 1"]
L --> W
Q -- "nums[mid] > target" --> H["right = mid - 1"]
H --> W
```
## Solution
```js
/**
* @param {number[]} nums
* @param {number} target
* @return {number}
*/
var search = function(nums, target) {
let left = 0;
let right = nums.length - 1;
while(left <= right) {
const mid = left + Math.floor((right - left) / 2);
if (nums[mid] === target) {
return mid;
} else if(nums[mid] < target){
left = mid + 1;
} else if (nums[mid] > target) {
right = mid - 1;
}
}
return -1;
};
```
## Explanation
<YouTube id="s4DPM8ct1pI" title="Binary Search - Leetcode 704 - Python" />
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---
title: '74. Search a 2D Matrix'
description: 'You are given an m x n integer matrix matrix with the following two properties:'
sidebar:
label: 'Search a 2D Matrix'
badge: 'Medium'
---
<Badge variant="accent">Array</Badge>
::::warning
You must write a solution in O(log(m * n)) time complexity.
::::
### Example 1:
- Input: `matrix = [[1,3,5,7],[10,11,16,20],[23,30,34,60]], target = 3`
- Output: `true`
### Example 2:
- Input: `matrix = [[1,3,5,7],[10,11,16,20],[23,30,34,60]], target = 13`
- Output: `false`
### Constraints:
- `m == matrix.length`
- `n == matrix[i].length`
- `1 <= m, n <= 100`
- `-10^4 <= matrix[i][j], target <= 10^4`
## Approach
```mermaid
flowchart TD
S(["searchMatrix(matrix, target)"]) --> I["top = 0, bot = ROWS - 1"]
I --> W1{"top <= bot?"}
W1 -- yes --> R1["row = (top + bot) // 2"]
R1 --> C1{"target vs that row's range"}
C1 -- "above matrix[row][-1]" --> U["top = row + 1"]
C1 -- "below matrix[row][0]" --> V["bot = row - 1"]
C1 -- inside --> B(["break — row found"])
U --> W1
V --> W1
W1 -- no --> F(["return False — no row can hold it"])
B --> P["row = (top + bot) // 2; l = 0, r = COLS - 1"]
P --> W2{"l <= r?"}
W2 -- no --> G(["return False"])
W2 -- yes --> M["m = (l + r) // 2"]
M --> C2{"target vs matrix[row][m]"}
C2 -- greater --> X["l = m + 1"]
C2 -- smaller --> Y["r = m - 1"]
C2 -- equal --> T(["return True"])
X --> W2
Y --> W2
```
## Solution
```py
class Solution:
def searchMatrix(self, matrix: List[List[int]], target: int) -> bool:
ROWS, COLS = len(matrix), len(matrix[0])
top, bot = 0, ROWS - 1
while top <= bot:
row = (top + bot) // 2
if target > matrix[row][-1]:
top = row + 1
elif target < matrix[row][0]:
bot = row - 1
else:
break
if not (top <= bot):
return False
row = (top + bot) // 2
l, r = 0, COLS - 1
while l <= r:
m = (l + r) // 2
if target > matrix[row][m]:
l = m + 1
elif target < matrix[row][m]:
r = m - 1
else:
return True
return False
```
## Explanation
<YouTube id="Ber2pi2C0j0" title="Search a 2D Matrix - Leetcode 74 - Python" />
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---
title: '875. Koko Eating Bananas'
description: Koko loves to eat bananas. There are n piles of bananas, the i^th pile has piles[i] bananas. The guards have gone and will come back in h hours
sidebar:
label: 'Koko Eating Bananas'
badge: 'Medium'
---
<Badge variant="accent">Array</Badge>
### Example 1:
- Input: `piles = [3,6,7,11], h = 8`
- Output: `4`
### Example 2:
- Input: `piles = [30,11,23,4,20], h = 5`
- Output: `30`
### Example 3:
- Input: `piles = [30,11,23,4,20], h = 6`
- Output: `23`
### Constraints:
- `1 <= piles.length <= 10^4`
- `piles.length <= h <= 10^9`
- `1 <= piles[i] <= 10^9`
## Approach
```mermaid
flowchart TD
S(["minEatingSpeed(piles, h)"]) --> I["l = 1, r = max(piles)"]
I --> W{"l < r?"}
W -- no --> E(["return l — the smallest workable speed"])
W -- yes --> M["mid = floor((l + r) / 2)"]
M --> K["kWorks(mid): hours = sum of ceil(p / mid)"]
K --> Q{"hours <= h?"}
Q -- yes --> A["r = mid — keep mid, try slower"]
Q -- no --> B["l = mid + 1 — too slow, speed up"]
A --> W
B --> W
```
## Solution
```js
/**
* @param {number[]} piles
* @param {number} h
* @return {number}
*/
var minEatingSpeed = function(piles, h) {
// Function to determine if K works for the H
function kWorks(k){
let hours = 0;
for (let p of piles){
hours += Math.ceil(p/k)
}
return hours <= h;
}
// Setup Binary Search
let l = 1;
let r = Math.max(...piles);
// Find the K value which works for H and consumes all bananas
while (l < r){
const mid = Math.floor((l + r) / 2);
if (kWorks(mid)){
r = mid;
}else{
l = mid + 1;
}
}
return l;
};
```
## Explanation
<YouTube id="U2SozAs9RzA" title="Koko Eating Bananas - Binary Search - Leetcode 875 - Python" />
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---
title: Binary Search
description: 'Half of a sorted range is removed at each step until the target is found.'
hidden: true
---
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import { defineMeta } from "blume";
export default defineMeta({ title: "Binary Search", order: 5, icon: "search", display: "group" });
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---
title: '1. Two Sum'
description: You are given an array of integers nums and an integer target, return indices of the two numbers such that they add up to target
sidebar:
label: 'Two Sum'
badge: 'Easy'
---
<Badge variant="accent">Array</Badge>
::::warning
Can you come up with an algorithm that is less than O(n^2) time complexity?
::::
### Example 1:
- Input: `nums = [2,7,11,15], target = 9`
- Output: `[0,1]`
- Explanation: Because `nums[0] + nums[1]` == `9`, we return [0, 1].
### Example 2:
- Input: `nums = [3,2,4], target = 6`
- Output: `[1,2]`
### Example 3:
- Input: `nums = [3,3], target = 6`
- Output: `[0,1]`
### Constraints:
- `2 <= nums.length <= 10^4`
- `-10^9 <= nums[i] <= 10^9`
- `-10^9 <= target <= 10^9`
- Only one valid answer exists.
## Approach
```mermaid
flowchart TD
S(["twoSum(nums, target)"]) --> I["seen = {} — value to index"]
I --> L{"more (i, num) in nums?"}
L -- no --> E(["return []"])
L -- yes --> C["complement = target - num"]
C --> H{"complement in seen?"}
H -- yes --> R(["return [seen[complement], i]"])
H -- no --> W["seen[num] = i"]
W --> L
```
## Solution
```py
class Solution:
def twoSum(self, nums: List[int], target: int) -> List[int]:
seen = {}
for i, num in enumerate(nums):
complement = target - num
if complement in seen:
return [seen[complement], i]
seen[num] = i
return []
```
## Explanation
<YouTube id="KLlXCFG5TnA" title="Two Sum - Leetcode 1 - HashMap - Python" />
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---
title: '1832. Check if the Sentence Is Pangram'
description: A pangram is a sentence where every letter of the English alphabet appears at least once
sidebar:
label: 'Check if the Sentence Is Pangram'
badge: 'Easy'
---
<Badge variant="accent">Hash Table</Badge>
### Example 1:
- Input: `sentence = "thequickbrownfoxjumpsoverthelazydog"`
- Output: `true`
- Explanation: `sentence` contains at least one of every letter of the English alphabet.
### Example 2:
- Input: `sentence = "leetcode"`
- Output: `false`
### Constraints:
- `1 <= sentence.length <= 1000`
- `sentence` consists of lowercase English letters.
## Approach
```mermaid
flowchart TD
S(["checkIfPangram(sentence)"]) --> I["freq = {}"]
I --> L{"more char c?"}
L -- yes --> C["freq[c] = (freq[c] or 0) + 1"]
C --> L
L -- no --> Q{"distinct keys in freq == 26?"}
Q -- yes --> R(["return true"])
Q -- no --> F(["return false"])
```
## Solution
```js
/**
* @param {string} sentence
* @return {boolean}
*/
var checkIfPangram = function(sentence) {
const freq = {};
for (let c of sentence) freq[c] = (freq[c] || 0) + 1;
if (Object.keys(freq).length === 26){
return true;
}
return false;
};
```
@@ -0,0 +1,53 @@
---
title: '217. Contains Duplicate'
description: Given an integer array nums, return true if any value appears at least twice in the array, and return false if every element is distinct
sidebar:
label: 'Contains Duplicate'
badge: 'Easy'
---
<Badge variant="accent">Array</Badge>
### Example 1:
- Input: `nums = [1,2,3,1]`
- Output: `true`
- Explanation: The element `1` occurs at the indices `0` and `3`.
### Example 2:
- Input: `nums = [1,2,3,4]`
- Output: `false`
- Explanation: All elements are distinct.
### Example 3:
- Input: `nums = [1,1,1,3,3,4,3,2,4,2]`
- Output: `true`
### Constraints:
- `1 <= nums.length <= 10^5`
- `-10^9 <= nums[i] <= 10^9`
## Approach
```mermaid
flowchart TD
S(["containsDuplicate(nums)"]) --> I["freq = {}"]
I --> L{"more n in nums?"}
L -- no --> E(["return false"])
L -- yes --> C["freq[n] = (freq[n] or 0) + 1"]
C --> Q{"freq[n] >= 2?"}
Q -- yes --> R(["return true"])
Q -- no --> L
```
## Solution
```py
class Solution:
def containsDuplicate(self, nums: List[int]) -> bool:
return len(set(nums)) != len(nums)
```
## Explanation
<YouTube id="3OamzN90kPg" title="Contains Duplicate - Leetcode 217 - Python" />
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---
title: '242. Valid Anagram'
description: Given two strings s and t, return true if t is an anagram of s, and false otherwise
sidebar:
label: 'Valid Anagram'
badge: 'Easy'
---
<Badge variant="accent">Hash Table</Badge>
::::warning
What if the inputs contain Unicode characters? How would you adapt your solution to such a case?
::::
### Example 1:
- Input: `s = "anagram", t = "nagaram"`
- Output: `true`
### Example 2:
- Input: `s = "rat", t = "car"`
- Output: `false`
### Constraints:
- `1 <= s.length, t.length <= 5 * 10^4`
- `s` and `t` consist of lowercase English letters.
## Approach
```mermaid
flowchart TD
S(["isAnagram(s, t)"]) --> I["freq: count every char of s"]
I --> L{"more char c in t?"}
L -- no --> E(["return true"])
L -- yes --> Q{"freq[c] missing or 0?"}
Q -- yes --> R(["return false — t has a char s cannot cover"])
Q -- no --> D["freq[c] -= 1"]
D --> L
```
## Solution
```js
/**
* @param {string} s
* @param {string} t
* @return {boolean}
*/
var isAnagram = function(s, t) {
let freq = {};
for (let c of s) freq[c] = (freq[c] || 0) + 1;
for (let c of t) {
if(!freq[c] || freq[c] === 0){
return false;
}
freq[c] = freq[c] - 1;
}
return true;
};
```
## Explanation
<YouTube id="9UtInBqnCgA" title="Valid Anagram - Leetcode 242 - Python" />
@@ -0,0 +1,65 @@
---
title: '347. Top K Frequent Elements'
description: Given an integer array nums and an integer k, return the k most frequent elements. You may return the answer in any order
sidebar:
label: 'Top K Frequent Elements'
badge: 'Medium'
---
<Badge variant="accent">Array</Badge>
::::warning
Your algorithm's time complexity must be better than O(n log n), where n is the array's size.
::::
### Example 1:
- Input: `nums = [1,1,1,2,2,3], k = 2`
- Output: `[1,2]`
### Example 2:
- Input: `nums = [1], k = 1`
- Output: `[1]`
### Example 3:
- Input: `nums = [1,2,1,2,1,2,3,1,3,2], k = 2`
- Output: `[1,2]`
### Constraints:
- `1 <= nums.length <= 10^5`
- `-10^4 <= nums[i] <= 10^4`
- `k` is in the range `[1, the number of unique elements in the array]`.
- It is guaranteed that the answer is unique.
## Approach
```mermaid
flowchart TD
S(["topKFrequent(nums, k)"]) --> F["freq: count every value in nums"]
F --> K["keys of freq, cast to Number"]
K --> O["sort by freq[b] - freq[a] — most frequent first"]
O --> R(["return slice(0, k)"])
```
## Solution
```js
/**
* @param {number[]} nums
* @param {number} k
* @return {number[]}
*/
var topKFrequent = function (nums, k) {
const freq = {};
for (let n of nums) freq[n] = (freq[n] || 0) + 1;
return Object.keys(freq)
.map(Number)
.sort((a, b) => freq[b] - freq[a])
.slice(0, k);
};
```
## Explanation
<YouTube id="YPTqKIgVk-k" title="Top K Frequent Elements - Bucket Sort - Leetcode 347 - Python" />
@@ -0,0 +1,63 @@
---
title: '387. First Unique Character in a String'
description: Given a string s, find the first non-repeating character in it and return its index. If it does not exist, return -1
sidebar:
label: 'First Unique Character in a String'
badge: 'Easy'
---
<Badge variant="accent">Hash Table</Badge>
### Example 1:
- Input: `s = "leetcode"`
- Output: `0`
- Explanation: The character `'l'` at index `0` is the first character that does not occur at any other index.
### Example 2:
- Input: `s = "loveleetcode"`
- Output: `2`
### Example 3:
- Input: `s = "aabb"`
- Output: `-1`
### Constraints:
- `1 <= s.length <= 10^5`
- `s` consists of only lowercase English letters.
## Approach
```mermaid
flowchart TD
S(["firstUniqChar(s)"]) --> F["Pass 1 — freq: count every char of s"]
F --> L{"Pass 2 — more i in 0..len-1?"}
L -- no --> E(["return -1"])
L -- yes --> Q{"freq[s[i]] == 1?"}
Q -- yes --> R(["return i — leftmost wins because the scan is in order"])
Q -- no --> L
```
## Solution
```js
/**
* @param {string} s
* @return {number}
*/
var firstUniqChar = function (s) {
const freq = {};
for (let c of s) freq[c] = (freq[c] || 0) + 1;
for (let i = 0; i < s.length; i++) {
if (freq[s[i]] === 1) {
return i;
}
}
return -1;
};
```
## Explanation
<YouTube id="rBENYgWy3xU" title="First Unique Character in a String - Leetcode 387 - Python" />
@@ -0,0 +1,65 @@
---
title: '451. Sort Characters By Frequency'
description: Given a string s, sort it in decreasing order based on the frequency of the characters. The frequency of a character is the number of times it appears in the string
sidebar:
label: 'Sort Characters By Frequency'
badge: 'Medium'
---
<Badge variant="accent">Hash Table</Badge>
### Example 1:
- Input: `s = "tree"`
- Output: `"eert"`
- Explanation: `'e'` appears twice while `'r'` and `'t'` both appear once. So `'e'` must appear before both `'r'` and `'t'`. Therefore `"eetr"` is also a valid answer.
### Example 2:
- Input: `s = "cccaaa"`
- Output: `"aaaccc"`
- Explanation: Both `'c'` and `'a'` appear three times, so both `"cccaaa"` and `"aaaccc"` are valid answers. Note that `"cacaca"` is incorrect, as the same characters must be together.
### Example 3:
- Input: `s = "Aabb"`
- Output: `"bbAa"`
- Explanation: `"bbaA"` is also a valid answer, but `"Aabb"` is incorrect. Note that `'A'` and `'a'` are treated as two different characters.
### Constraints:
- `1 <= s.length <= 5 * 10^5`
- `s` consists of uppercase and lowercase English letters and digits.
## Approach
```mermaid
flowchart TD
S(["frequencySort(s)"]) --> F["freq: count every char of s"]
F --> C["split s and sort with a two-key comparator"]
C --> K1["primary: freq[b] - freq[a] — most frequent first"]
C --> K2["tie-break: a.localeCompare(b) — alphabetical"]
K1 --> R(["join and return"])
K2 --> R
```
## Solution
```js
/**
* @param {string} s
* @return {string}
*/
var frequencySort = function (s) {
// count the frequency of each character
const freq = {};
for (let c of s) freq[c] = (freq[c] || 0) + 1;
// sort the characters by frequency
return s
.split("")
.sort((a, b) => freq[b] - freq[a] || a.localeCompare(b))
.join("");
};
```
## Explanation
<YouTube id="OXdXc9HTrIg" title="Sort Characters By Frequency - Leetcode 451 - Python" />
@@ -0,0 +1,70 @@
---
title: '49. Group Anagrams'
description: Given an array of strings strs, group the anagrams together. You can return the answer in any order
sidebar:
label: 'Group Anagrams'
badge: 'Medium'
---
<Badge variant="accent">Array</Badge>
### Example 1:
- Input: `strs = ["eat","tea","tan","ate","nat","bat"]`
- Output: `[["bat"],["nat","tan"],["ate","eat","tea"]]`
- Explanation: There is no string in `strs` that can be rearranged to form `"bat"`. The strings `"nat"` and `"tan"` are anagrams as they can be rearranged to form each other. The strings `"ate"`, `"eat"`, and `"tea"` are anagrams as they can be rearranged to form each other.
### Example 2:
- Input: `strs = [""]`
- Output: `[[""]]`
### Example 3:
- Input: `strs = ["a"]`
- Output: `[["a"]]`
### Constraints:
- `1 <= strs.length <= 10^4`
- `0 <= strs[i].length <= 100`
- `strs[i]` consists of lowercase English letters.
## Approach
```mermaid
flowchart TD
S(["groupAnagrams(strs)"]) --> K["sorted[i] = letters of strs[i], sorted — the anagram key"]
K --> I["anagrams = {}"]
I --> L{"more i in 0..n-1?"}
L -- no --> E(["return Object.values(anagrams)"])
L -- yes --> Q{"anagrams has sorted[i]?"}
Q -- no --> N["anagrams[sorted[i]] = [strs[i]]"]
Q -- yes --> P["anagrams[sorted[i]].push(strs[i])"]
N --> L
P --> L
```
## Solution
```js
/**
* @param {string[]} strs
* @return {string[][]}
*/
var groupAnagrams = function(strs) {
let sorted = strs.map(str => str.split("").sort().join(""));
let anagrams = {};
for (let i = 0; i < strs.length; i++){
if(!anagrams[sorted[i]]){
anagrams[sorted[i]] = [strs[i]]
}else{
anagrams[sorted[i]].push(strs[i])
}
}
return Object.values(anagrams);
};
```
## Explanation
<YouTube id="vzdNOK2oB2E" title="Group Anagrams - Categorize Strings by Count - Leetcode 49" />
@@ -0,0 +1,5 @@
---
title: Hash Table
description: 'A key maps to a value in constant time, which removes the need for a full scan.'
hidden: true
---
@@ -0,0 +1,3 @@
import { defineMeta } from "blume";
export default defineMeta({ title: "Hash Table", order: 1, icon: "hash", display: "group" });
@@ -0,0 +1,3 @@
import { defineMeta } from "blume";
export default defineMeta({ title: "Phase 1: Linear Structures", order: 1 });
@@ -0,0 +1,59 @@
---
title: '739. Daily Temperatures'
description: Given an array of integers temperatures represents the daily temperatures, return an array answer such that answer[i] is the number of days you have to wait after the i^th day to get a warmer temperature. If there is no future day for which this is possible, keep answer[i] == 0 instead
sidebar:
label: 'Daily Temperatures'
badge: 'Medium'
---
<Badge variant="accent">Array</Badge>
### Example 1:
- Input: `temperatures = [73,74,75,71,69,72,76,73]`
- Output: `[1,1,4,2,1,1,0,0]`
### Example 2:
- Input: `temperatures = [30,40,50,60]`
- Output: `[1,1,1,0]`
### Example 3:
- Input: `temperatures = [30,60,90]`
- Output: `[1,1,0]`
### Constraints:
- `1 <= temperatures.length <= 10^5`
- `30 <= temperatures[i] <= 100`
## Approach
```mermaid
flowchart TD
S(["dailyTemperatures(temperatures)"]) --> I["ans = zeros(n), stack = [] — indices of days still waiting"]
I --> L{"more (i, temp)?"}
L -- no --> E(["return ans"])
L -- yes --> W{"stack non-empty and temperatures[stack[-1]] < temp?"}
W -- yes --> P["prev = stack.pop(); ans[prev] = i - prev — today resolves that day"]
P --> W
W -- no --> A["stack.append(i)"]
A --> L
```
## Solution
```py
class Solution:
def dailyTemperatures(self, temperatures: List[int]) -> List[int]:
ans = [0] * len(temperatures)
stack = []
for i, temp in enumerate(temperatures):
while stack and temperatures[stack[-1]] < temp:
prev = stack.pop()
ans[prev] = i - prev
stack.append(i)
return ans
```
## Explanation
<YouTube id="cTBiBSnjO3c" title="Daily Temperatures - Monotonic Stack - Leetcode 739 - Python" />
@@ -0,0 +1,67 @@
---
title: '853. Car Fleet'
description: There are n cars at given miles away from the starting mile 0, traveling to reach the mile target
sidebar:
label: 'Car Fleet'
badge: 'Medium'
---
<Badge variant="accent">Array</Badge>
### Example 1:
- Input: `target = 12, position = [10,8,0,5,3], speed = [2,4,1,1,3]`
- Output: `3`
- Explanation: • The cars starting at `10 (speed 2`) and `8 (speed 4`) become a fleet, meeting each other at `12`. The fleet forms at `target`. • The car starting at `0 (speed 1`) does not catch up to any other car, so it is a fleet by itself. • The cars starting at `5 (speed 1`) and `3 (speed 3`) become a fleet, meeting each other at `6`. The fleet moves at `speed 1` until it reaches `target`.
### Example 2:
- Input: `target = 10, position = [3], speed = [3]`
- Output: `1`
- Explanation: There is only one car, hence there is only one fleet.
### Example 3:
- Input: `target = 100, position = [0,2,4], speed = [4,2,1]`
- Output: `1`
- Explanation: • The cars starting at `0 (speed 4`) and `2 (speed 2`) become a fleet, meeting each other at `4`. The car starting at `4 (speed 1`) travels to `5`. • Then, the fleet at `4 (speed 2`) and the car at `position 5 (speed 1`) become one fleet, meeting each other at `6`. The fleet moves at `speed 1` until it reaches `target`.
### Constraints:
- `n == position.length == speed.length`
- `1 <= n <= 10^5`
- `0 < target <= 10^6`
- `0 <= position[i] < target`
- All the values of `position` are unique.
- `0 < speed[i] <= 10^6`
## Approach
```mermaid
flowchart TD
S(["carFleet(target, position, speed)"]) --> O["zip and sort by position, descending — nearest the target first"]
O --> I["stack = [] — arrival time of each fleet's leader"]
I --> L{"more (pos, spd)?"}
L -- no --> E(["return len(stack) — one entry per fleet"])
L -- yes --> T["time = (target - pos) / spd"]
T --> Q{"stack empty or time > stack[-1]?"}
Q -- yes --> A["stack.append(time) — slower, so it starts a new fleet"]
Q -- no --> B["discard — it catches the car ahead and joins that fleet"]
A --> L
B --> L
```
## Solution
```py
class Solution:
def carFleet(self, target: int, position: List[int], speed: List[int]) -> int:
stack = []
for pos, spd in sorted(zip(position, speed), reverse=True):
time = (target - pos) / spd
if not stack or time > stack[-1]:
stack.append(time)
return len(stack)
```
## Explanation
<YouTube id="Pr6T-3yB9RM" title="Car Fleet - Leetcode 853 - Python" />
@@ -0,0 +1,5 @@
---
title: Monotonic Stack
description: 'A stack keeps its items in sorted order, which finds the next larger or smaller item in one pass.'
hidden: true
---
@@ -0,0 +1,3 @@
import { defineMeta } from "blume";
export default defineMeta({ title: "Monotonic Stack", order: 7, icon: "trending-up", display: "group" });
@@ -0,0 +1,68 @@
---
title: '238. Product of Array Except Self'
description: Given an integer array nums, return an array answer such that answer[i] is equal to the product of all the elements of nums except nums[i]
sidebar:
label: 'Product of Array Except Self'
badge: 'Medium'
---
<Badge variant="accent">Array</Badge>
::::warning
You must write an algorithm that runs in O(n) time and without using the division operation.
Can you solve the problem in O(1) extra space complexity? (The output array does not count as extra space for space complexity analysis.)
::::
### Example 1:
- Input: `nums = [1,2,3,4]`
- Output: `[24,12,8,6]`
### Example 2:
- Input: `nums = [-1,1,0,-3,3]`
- Output: `[0,0,9,0,0]`
### Constraints:
- `2 <= nums.length <= 10^5`
- `-30 <= nums[i] <= 30`
- The input is generated such that `answer[i]` is guaranteed to fit in a 32-bit integer.
## Approach
```mermaid
flowchart TD
S(["productExceptSelf(nums)"]) --> I["answer = ones(n), rightArr = ones(n)"]
I --> P1["Pass 1 — left to right: answer[i] = nums[i-1] * answer[i-1]"]
P1 --> P2["Pass 2 — right to left: rightArr[i] = nums[i+1] * rightArr[i+1]"]
P2 --> P3["Pass 3: answer[i] *= rightArr[i]"]
P3 --> E(["return answer — no division needed"])
```
## Solution
```js
/**
* @param {number[]} nums
* @return {number[]}
*/
var productExceptSelf = function(nums) {
const n = nums.length;
const answer = new Array(n).fill(1);
const rightArr = new Array(n).fill(1);
for (let i = 1; i < n; i++) {
answer[i] = nums[i - 1] * answer[i - 1];
}
for (let i = n - 2; i >= 0; i--) {
rightArr[i] = nums[i + 1] * rightArr[i + 1];
}
for (let i = 0; i < n; i++) {
answer[i] *= rightArr[i];
}
return answer;
};
```
## Explanation
<YouTube id="bNvIQI2wAjk" title="Product of Array Except Self - Leetcode 238 - Python" />
@@ -0,0 +1,71 @@
---
title: '303. Range Sum Query - Immutable'
description: Given an integer array nums, handle multiple queries of the following type
sidebar:
label: 'Range Sum Query - Immutable'
badge: 'Easy'
---
<Badge variant="accent">Array</Badge>
### Example 1:
- Input: `["NumArray", "sumRange", "sumRange", "sumRange"]` `[[[-2, 0, 3, -5, 2, -1]], [0, 2], [2, 5], [0, 5]]`
- Output: `[null, 1, -1, -3]`
- Explanation: `NumArray numArray = new NumArray([-2, 0, 3, -5, 2, -1]);` `numArray.sumRange(0, 2); // return (-2) + 0 + 3 = 1` `numArray.sumRange(2, 5); // return 3 + (-5) + 2 + (-1) = -1` `numArray.sumRange(0, 5); // return (-2) + 0 + 3 + (-5) + 2 + (-1) = -3`
### Constraints:
- `1 <= nums.length <= 10^4`
- `-10^5 <= nums[i] <= 10^5`
- `0 <= left <= right < nums.length`
- At most `10^4` calls will be made to `sumRange`.
## Approach
```mermaid
flowchart TD
subgraph build["constructor(nums) — O(n) once"]
A["prefix = [0]"] --> B{"more n in nums?"}
B -- yes --> C["prefix.push(last + n)"]
C --> B
end
build --> Q
subgraph Q["sumRange(left, right) — O(1) per call"]
D(["return prefix[right + 1] - prefix[left]"])
end
```
## Solution
```js
/**
* @param {number[]} nums
*/
class NumArray {
constructor(nums) {
this.prefix = [0];
for (let n of nums){
this.prefix.push(this.prefix[this.prefix.length - 1] + n);
}
}
/**
* @param {number} left
* @param {number} right
* @return {number}
*/
sumRange(left, right) {
return this.prefix[right + 1] - this.prefix[left];
}
}
/**
* Your NumArray object will be instantiated and called as such:
* var obj = new NumArray(nums)
* var param_1 = obj.sumRange(left,right)
*/
```
## Explanation
<YouTube id="2pndAmo_sMA" title="Range Sum Query Immutable - Leetcode 303 - Python" />
@@ -0,0 +1,70 @@
---
title: '560. Subarray Sum Equals K'
description: Given an array of integers nums and an integer k, return the total number of subarrays whose sum equals to k
sidebar:
label: 'Subarray Sum Equals K'
badge: 'Medium'
---
<Badge variant="accent">Array</Badge>
### Example 1:
- Input: `nums = [1,1,1], k = 2`
- Output: `2`
### Example 2:
- Input: `nums = [1,2,3], k = 3`
- Output: `2`
### Constraints:
- `1 <= nums.length <= 2 * 10^4`
- `-1000 <= nums[i] <= 1000`
- `-10^7 <= k <= 10^7`
## Approach
```mermaid
flowchart TD
S(["subarraySum(nums, k)"]) --> I["map = {0: 1} — the empty prefix; sum = 0, count = 0"]
I --> L{"more n in nums?"}
L -- no --> E(["return count"])
L -- yes --> A["sum += n"]
A --> Q{"map has sum - k?"}
Q -- yes --> C["count += map.get(sum - k) — every earlier prefix that closes a window"]
Q -- no --> W["map.set(sum, count of sum + 1)"]
C --> W
W --> L
```
## Solution
```js
/**
* @param {number[]} nums
* @param {number} k
* @return {number}
*/
var subarraySum = function(nums, k) {
const map = new Map();
map.set(0, 1);
let sum = 0;
let count = 0;
for (let n of nums){
sum += n;
if(map.has(sum - k)){
count += map.get(sum - k);
}
map.set(sum, (map.get(sum) || 0) + 1);
}
return count
};
```
## Explanation
<YouTube id="fFVZt-6sgyo" title="Subarray Sum Equals K - Prefix Sums - Leetcode 560 - Python" />
@@ -0,0 +1,5 @@
---
title: Prefix Sum
description: 'A running total is stored at each index, so the sum of any range is one subtraction.'
hidden: true
---
@@ -0,0 +1,3 @@
import { defineMeta } from "blume";
export default defineMeta({ title: "Prefix Sum", order: 2, icon: "sigma", display: "group" });
@@ -0,0 +1,60 @@
---
title: '121. Best Time to Buy and Sell Stock'
description: You are given an array prices where prices[i] is the price of a given stock on the i^th day
sidebar:
label: 'Best Time to Buy and Sell Stock'
badge: 'Easy'
---
<Badge variant="accent">Array</Badge>
### Example 1:
- Input: `prices = [7,1,5,3,6,4]`
- Output: `5`
- Explanation: Buy on day `2` (price = `1`) and sell on day `5` (price = `6`), profit = `6-1 = 5`. Note that buying on day `2` and selling on day `1` is not allowed because you must buy before you sell.
### Example 2:
- Input: `prices = [7,6,4,3,1]`
- Output: `0`
- Explanation: In this case, no transactions are done and the max profit = `0`.
### Constraints:
- `1 <= prices.length <= 10^5`
- `0 <= prices[i] <= 10^4`
## Approach
::::warning
The diagram traces the code below literally. That code does not run: `curr` and `ans` are never initialised, so the first `curr > left` test raises `NameError`, and `left` holds a price rather than an index, so `prices[left]` indexes by value.
::::
```mermaid
flowchart TD
S(["maxProfit(prices)"]) --> I["left = min(prices)"]
I --> F{"more right in range(len(prices))?"}
F -- no --> E(["return ans"])
F -- yes --> W{"curr > left?"}
W -- yes --> P["curr -= prices[left]; left += 1"]
P --> W
W -- no --> M["ans = max(ans, curr)"]
M --> F
```
## Solution
```py
class Solution:
def maxProfit(self, prices: List[int]) -> int:
left = min(prices)
for right in range(len(prices)):
while curr > left:
curr -= prices[left]
left += 1
ans = max(ans, curr)
return ans
```
## Explanation
<YouTube id="1pkOgXD63yU" title="Sliding Window: Best Time to Buy and Sell Stock - Leetcode 121 - Python" />
@@ -0,0 +1,66 @@
---
title: '3. Longest Substring Without Repeating Characters'
description: Given a string s, find the length of the longest substring without duplicate characters
sidebar:
label: 'Longest Substring Without Repeating Characters'
badge: 'Medium'
---
<Badge variant="accent">Hash Table</Badge>
### Example 1:
- Input: `s = "abcabcbb"`
- Output: `3`
- Explanation: The answer is "abc", with the length of `3`. Note that "bca" and "cab" are also correct answers.
### Example 2:
- Input: `s = "bbbbb"`
- Output: `1`
- Explanation: The answer is "b", with the length of `1`.
### Example 3:
- Input: `s = "pwwkew"`
- Output: `3`
- Explanation: The answer is "wke", with the length of `3`. Notice that the answer must be a substring, "pwke" is a subsequence and not a substring.
### Constraints:
- `0 <= s.length <= 10^5`
- `s` consists of English letters, digits, symbols and spaces.
## Approach
```mermaid
flowchart TD
S(["lengthOfLongestSubstring(s)"]) --> I["left = 0, ans = 0, window = set()"]
I --> L{"more (right, c) in s?"}
L -- no --> E(["return ans"])
L -- yes --> W{"c already in window?"}
W -- yes --> P["window.remove(s[left]); left += 1 — shrink until c is free"]
P --> W
W -- no --> A["window.add(c)"]
A --> M["ans = max(ans, right - left + 1)"]
M --> L
```
## Solution
```py
class Solution:
def lengthOfLongestSubstring(self, s: str) -> int:
left = 0
ans = 0
window = set()
for right, c in enumerate(s):
while c in window:
window.remove(s[left])
left += 1
window.add(c)
ans = max(ans, right - left + 1)
return ans
```
## Explanation
<YouTube id="wiGpQwVHdE0" title="Longest Substring Without Repeating Characters - Leetcode 3 - Python" />
@@ -0,0 +1,66 @@
---
title: '424. Longest Repeating Character Replacement'
description: You are given a string s and an integer k. You can choose any character of the string and change it to any other uppercase English character. You can perform this operation at most k times
sidebar:
label: 'Longest Repeating Character Replacement'
badge: 'Medium'
---
<Badge variant="accent">Hash Table</Badge>
### Example 1:
- Input: `s = "ABAB", k = 2`
- Output: `4`
- Explanation: Replace the two 'A's with two 'B's or vice versa.
### Example 2:
- Input: `s = "AABABBA", k = 1`
- Output: `4`
- Explanation: Replace the one 'A' in the middle with 'B' and form "AABBBBA". The substring "BBBB" has the longest repeating letters, which is `4`. There may exists other ways to achieve this answer too.
### Constraints:
- `1 <= s.length <= 10^5`
- `s` consists of only uppercase English letters.
- `0 <= k <= s.length`
## Approach
```mermaid
flowchart TD
S(["characterReplacement(s, k)"]) --> I["count = {}, res = 0, l = 0, maxF = 0"]
I --> L{"more (r, c) in s?"}
L -- no --> E(["return res"])
L -- yes --> A["count[c] += 1; maxF = max(maxF, count[c])"]
A --> W{"(r - l + 1) - maxF > k? — too many chars to replace"}
W -- yes --> P["count[s[l]] -= 1; l += 1 — shrink from the left"]
P --> W
W -- no --> M["res = max(res, r - l + 1)"]
M --> L
```
## Solution
```py
class Solution:
def characterReplacement(self, s: str, k: int) -> int:
count = {}
res = 0
l = 0
maxF = 0
for r, c in enumerate(s):
count[c] = 1 + count.get(c, 0)
maxF = max(maxF, count[c])
while (r - l + 1) - maxF > k:
count[s[l]] -= 1
l += 1
res = max(res, r - l + 1)
return res
```
## Explanation
<YouTube id="gqXU1UyA8pk" title="Longest Repeating Character Replacement - Leetcode 424 - Python" />
@@ -0,0 +1,73 @@
---
title: '567. Permutation in String'
description: Given two strings s1 and s2, return true if s2 contains a permutation of s1, or false otherwise
sidebar:
label: 'Permutation in String'
badge: 'Medium'
---
<Badge variant="accent">Hash Table</Badge>
### Example 1:
- Input: `s1 = "ab", s2 = "eidbaooo"`
- Output: `true`
- Explanation: `s2` contains one permutation of `s1` ("ba").
### Example 2:
- Input: `s1 = "ab", s2 = "eidboaoo"`
- Output: `false`
### Constraints:
- `1 <= s1.length, s2.length <= 10^4`
- `s1` and `s2` consist of lowercase English letters.
## Approach
```mermaid
flowchart TD
S(["checkInclusion(s1, s2)"]) --> G{"k = len(s1) > len(s2)?"}
G -- yes --> X(["return False"])
G -- no --> I["need = Counter(s1), window = Counter()"]
I --> L{"more (right, c) in s2?"}
L -- no --> E(["return False"])
L -- yes --> A["window[c] += 1"]
A --> B{"right >= k? — window is now longer than k"}
B -- yes --> C["drop s2[right - k] from window, deleting the key at 0"]
B -- no --> Q
C --> Q{"window == need?"}
Q -- yes --> R(["return True"])
Q -- no --> L
```
## Solution
```py
from collections import Counter
class Solution:
def checkInclusion(self, s1: str, s2: str) -> bool:
k = len(s1)
if k > len(s2):
return False
need = Counter(s1)
window = Counter()
for right, c in enumerate(s2):
window[c] += 1
if right >= k:
left_char = s2[right - k]
window[left_char] -= 1
if window[left_char] == 0:
del window[left_char]
if window == need:
return True
return False
```
## Explanation
<YouTube id="UbyhOgBN834" title="Permutation in String - Leetcode 567 - Python" />
@@ -0,0 +1,104 @@
---
title: Sliding Window
description: 'Sliding window is a specialized two-pointer family where the pointers define a contiguous interval and you maintain information about that entire interval as it moves.'
hidden: true
---
:::warning
This is the family where invariants matter the most
:::
## What Makes Sliding Window Different?
Many problems have two moving boundaries. That alone does not make them sliding window problems.
A problem belongs to this family when:
- the answer depends on the subarray or substring between left and right
- you can update the window state incrementally as elements enter or leave
- you maintain a condition that tells you whether the window is valid
## What is an Invariant?
An invariant is a statement that stays true before and after every iteration.
For sliding window, the invariant often looks like one of these:
- "the current window is valid"
- "the current window contains no duplicates"
- "the current window sum is at most the target"
- "the frequency map matches the characters currently inside the window"
The invariant gives the loop its structure:
- expand the window by moving right
- update the window state
- if the invariant breaks, shrink from the left until it holds again
- update the answer only when you know the invariant is satisfied
## Why Invariants Matter
Without an invariant, shrinking the window becomes arbitrary. You no longer know:
- when the window is valid
- when to update the answer
- why the left pointer should stop moving
- The invariant is the reason the algorithm is correct.
## The Main Subtypes
### 1. Fixed-size windows
:::tip
The window size never changes. The main task is updating the window state efficiently when one element enters and one leaves.
:::
![Sliding Window Fixed Size](../../../public/sliding-window-fixed-size.svg)
### 2. Flexible-size windows with a validity rule
:::tip
Here the window expands until invalid, then shrinks until valid again.
:::
![Flexible-size windows](../../../public/sliding-window-flexible.svg)
### 3. Frequency-tracking windows
:::tip
The difficulty comes from keeping the bookkeeping correct as characters enter and leave.
:::
![Frequency-tracking windows](../../../public/sliding-window-frequency.svg)
## How Sliding Window Differs From Other Two-Pointer Families
Compare it with Container With Most Water:
- In sliding window, the interval itself has meaning.
- In container, the interval is just the remaining search space.
Compare it with Remove Duplicates:
- In sliding window, both pointers describe a live window.
- In compaction, the left part of the array is already the answer prefix.
## A Practical Template
A common variable-size sliding window has this shape:
1. Add the new rightmost element.
2. Update the window state.
3. While the invariant is broken, remove elements from the left.
4. Once the invariant is restored, update the answer.
The exact data structure changes from problem to problem, but the logic stays the same.
As you work through this section, keep asking:
:::warning
What invariant does my window maintain, and at what moment is it safe to update the answer?
:::
@@ -0,0 +1,3 @@
import { defineMeta } from "blume";
export default defineMeta({ title: "Sliding Window", order: 4, icon: "app-window", display: "group" });
@@ -0,0 +1,74 @@
---
title: '150. Evaluate Reverse Polish Notation'
description: You are given an array of strings tokens that represents an arithmetic expression in a Reverse Polish Notation
sidebar:
label: 'Evaluate Reverse Polish Notation'
badge: 'Medium'
---
<Badge variant="accent">Array</Badge>
### Example 1:
- Input: `tokens = ["2","1","+","3","*"]`
- Output: `9`
- Explanation: `((2 + 1`) * `3`) = `9`
### Example 2:
- Input: `tokens = ["4","13","5","/","+"]`
- Output: `6`
- Explanation: `(4 + (13 / 5`)) = `6`
### Example 3:
- Input: `tokens = ["10","6","9","3","+","-11","*","/","*","17","+","5","+"]`
- Output: `22`
- Explanation: `((10 * (6 / ((9 + 3`) * `-11`))) + `17`) + `5 = ((10 * (6 / (12 * -11`))) + `17`) + `5 = ((10 * (6 / -132`)) + `17`) + `5 = ((10 * 0`) + `17`) + `5 = (0 + 17`) + `5 = 17 + 5 = 22`
### Constraints:
- `1 <= tokens.length <= 10^4`
- `tokens[i]` is either an operator: "+", "-", "*", or "/", or an integer in the range [-200, 200].
## Approach
```mermaid
flowchart TD
S(["evalRPN(tokens)"]) --> I["stack = [], operations = + - * /"]
I --> L{"more token c?"}
L -- no --> E(["return stack[0]"])
L -- yes --> Q{"c is an operator?"}
Q -- no --> N["stack.append(int(c))"]
N --> L
Q -- yes --> P["y = stack.pop(), x = stack.pop() — order matters"]
P --> C["stack.append(operations[c](x, y))"]
C --> L
```
## Solution
```py
class Solution:
def evalRPN(self, tokens: List[str]) -> int:
stack = []
operations = {
"+": lambda x, y: int(x + y),
"-": lambda x, y: int(x - y),
"*": lambda x, y: int(x * y),
"/": lambda x, y: int(x / y),
}
for c in tokens:
if c in operations:
y = stack.pop()
x = stack.pop()
calc_func = operations[c]
result = calc_func(x, y)
stack.append(result)
else:
stack.append(int(c))
return stack[0]
```
## Explanation
<YouTube id="iu0082c4HDE" title="Evaluate Reverse Polish Notation - Leetcode 150 - Python" />
@@ -0,0 +1,82 @@
---
title: '155. Min Stack'
description: Design a stack that supports push, pop, top, and retrieving the minimum element in constant time
sidebar:
label: 'Min Stack'
badge: 'Medium'
---
<Badge variant="accent">Stack</Badge>
::::warning
You must implement a solution with O(1) time complexity for each function.
::::
### Example 1:
- Input: ``
- Output: ``
- Explanation: Input `["MinStack","push","push","push","getMin","pop","top","getMin"]` [[],[-2],[0],[-3],[],[],[],[]] Output `[null,null,null,null,-3,null,0,-2]` Explanation MinStack minStack = new MinStack(); minStack.push(-2); minStack.push(0); minStack.push(-3); minStack.getMin(); // return `-3` minStack.pop(); minStack.top(); // return `0` minStack.getMin(); // return `-2`
### Constraints:
- `-2^31 <= val <= 2^31 - 1`
- Methods pop, top and getMin operations will always be called on non-empty stacks.
- At most 3 * 10^4 calls will be made to push, pop, top, and getMin.
## Approach
```mermaid
flowchart TD
subgraph state["two parallel stacks — same depth, always"]
A["stack — the values"]
B["minStack — the minimum as of that depth"]
end
state --> P
subgraph P["push(value)"]
P1["stack.append(value)"] --> P2["minStack.append(min(value, minStack[-1]))"]
end
state --> O
subgraph O["pop()"]
O1["pop both stacks together"]
end
state --> R
subgraph R["top() / getMin() — O(1)"]
R1(["stack[-1] / minStack[-1]"])
end
```
## Solution
```py
class MinStack:
def __init__(self):
self.stack = []
self.minStack = []
def push(self, value: int) -> None:
self.stack.append(value)
value = min(value, self.minStack[-1] if self.minStack else value)
self.minStack.append(value)
def pop(self) -> None:
self.stack.pop()
self.minStack.pop()
def top(self) -> int:
return self.stack[-1]
def getMin(self) -> int:
return self.minStack[-1]
# Your MinStack object will be instantiated and called as such:
# obj = MinStack()
# obj.push(value)
# obj.pop()
# param_3 = obj.top()
# param_4 = obj.getMin()
```
## Explanation
<YouTube id="qkLl7nAwDPo" title="Design Min Stack - Amazon Interview Question - Leetcode 155 - Python" />
@@ -0,0 +1,76 @@
---
title: '20. Valid Parentheses'
description: Given a string s containing just the characters '(', ')', '{', '}', '[' and ']', determine if the input string is valid
sidebar:
label: 'Valid Parentheses'
badge: 'Easy'
---
<Badge variant="accent">String</Badge>
### Example 1:
- Input: `s = "()"`
- Output: `true`
### Example 2:
- Input: `s = "()[]{}"`
- Output: `true`
### Example 3:
- Input: `s = "(]"`
- Output: `false`
### Example 4:
- Input: `s = "([])"`
- Output: `true`
### Example 5:
- Input: `s = "([)]"`
- Output: `false`
### Constraints:
- `1 <= s.length <= 10^4`
- `s` consists of parentheses only '()[]{}'.
## Approach
```mermaid
flowchart TD
S(["isValid(s)"]) --> I["stack = [], pairs = closer to opener"]
I --> L{"more char c?"}
L -- no --> Z{"stack empty?"}
Z -- yes --> T(["return True"])
Z -- no --> U(["return False — unclosed openers left"])
L -- yes --> Q{"c is a closer?"}
Q -- no --> A["stack.append(c) — it is an opener"]
A --> L
Q -- yes --> M{"stack non-empty and pairs[c] == stack[-1]?"}
M -- yes --> P["stack.pop() — matched"]
P --> L
M -- no --> F(["return False — mismatch"])
```
## Solution
```py
class Solution:
def isValid(self, s: str) -> bool:
stack = []
pairs = {")": "(", "]": "[", "}": "{"}
for c in s:
if c in pairs:
if stack and pairs[c] == stack[-1]:
stack.pop()
else:
return False
else:
stack.append(c)
return True if not stack else False
```
## Explanation
<YouTube id="WTzjTskDFMg" title="Valid Parentheses - Stack - Leetcode 20 - Python" />
@@ -0,0 +1,5 @@
---
title: Stack
description: 'Items are added and removed from one end, so the last item added is the first item removed.'
hidden: true
---
@@ -0,0 +1,3 @@
import { defineMeta } from "blume";
export default defineMeta({ title: "Stack", order: 6, icon: "layers", display: "group" });
@@ -0,0 +1,68 @@
---
title: '11. Container With Most Water'
description: You are given an integer array height of length n. There are n vertical lines drawn such that the two endpoints of the i^th line are (i, 0) and (i, height[i])
sidebar:
label: 'Container With Most Water'
badge: 'Medium'
---
<Badge variant="accent">Array</Badge>
::::warning
Notice that you may not slant the container.
::::
### Example 1:
- Input: `height = [1,8,6,2,5,4,8,3,7]`
- Output: `49`
- Explanation: The above vertical lines are represented by array `[1,8,6,2,5,4,8,3,7]`. In this case, the max area of water (blue section) the container can contain is `49`.
### Example 2:
- Input: `height = [1,1]`
- Output: `1`
### Constraints:
- `n == height.length`
- `2 <= n <= 10^5`
- `0 <= height[i] <= 10^4`
## Approach
```mermaid
flowchart TD
S(["maxArea(height)"]) --> I["res = 0, left = 0, right = len - 1"]
I --> W{"left < right?"}
W -- no --> E(["return res"])
W -- yes --> A["area = (right - left) * min(height[left], height[right])"]
A --> M["res = max(res, area)"]
M --> C{"height[left] < height[right]?"}
C -- yes --> L["left += 1 — drop the shorter wall"]
C -- no --> R["right -= 1 — drop the shorter wall"]
L --> W
R --> W
```
## Solution
```py
class Solution:
def maxArea(self, height: List[int]) -> int: # noqa: F821
res = 0
left = 0
right = len(height) - 1
while left < right:
area = (right - left) * min(height[left], height[right])
res = max(res, area)
if height[left] < height[right]:
left += 1
else:
right -= 1
return res
```
## Explanation
<YouTube id="UuiTKBwPgAo" title="Container with Most Water - Leetcode 11 - Python" />
@@ -0,0 +1,69 @@
---
title: '125. Valid Palindrome'
description: A phrase is a palindrome if, after converting all uppercase letters into lowercase letters and removing all non-alphanumeric characters, it reads the same forward and backward. Alphanumeric characters include letters and numbers
sidebar:
label: 'Valid Palindrome'
badge: 'Easy'
---
<Badge variant="accent">Two Pointers</Badge>
### Example 1:
- Input: `s = "A man, a plan, a canal: Panama"`
- Output: `true`
- Explanation: `"amanaplanacanalpanama"` is a palindrome.
### Example 2:
- Input: `s = "race a car"`
- Output: `false`
- Explanation: `"raceacar"` is not a palindrome.
### Example 3:
- Input: `s = " "`
- Output: `true`
- Explanation: `s` is an empty string `""` after removing non-alphanumeric characters. Since an empty string reads the same forward and backward, it is a palindrome.
### Constraints:
- `1 <= s.length <= 2 * 10^5`
- `s` consists only of printable ASCII characters.
## Approach
```mermaid
flowchart TD
S(["isPalindrome(s)"]) --> N["normal = s stripped of non-alphanumerics, lowercased"]
N --> I["i = 0, j = normal.length - 1"]
I --> W{"i < j?"}
W -- no --> E(["return true — the pointers met in the middle"])
W -- yes --> Q{"normal[i] != normal[j]?"}
Q -- yes --> F(["return false"])
Q -- no --> A["i++; j-- — step both inward"]
A --> W
```
## Solution
```js
/**
* @param {string} s
* @return {boolean}
*/
var isPalindrome = function(s) {
let normal = s.replace(/[^a-zA-Z0-9]/g, "").toLowerCase()
let i = 0, j = normal.length - 1;
while (i < j) {
if(normal[i] !== normal[j]) {
return false;
}
i++;
j--;
}
return true;
};
```
## Explanation
<YouTube id="jJXJ16kPFWg" title="Valid Palindrome - Leetcode 125 - Python" />
@@ -0,0 +1,104 @@
---
title: '15. 3Sum'
description: Given an integer array nums, return all the triplets [nums[i], nums[j], nums[k]] such that i != j, i != k, and j != k, and nums[i] + nums[j] + nums[k] == 0
sidebar:
label: '3Sum'
badge: 'Medium'
---
<Badge variant="accent">Array</Badge>
::::warning
Notice that the solution set must not contain duplicate triplets.
::::
### Example 1:
- Input: `nums = [-1,0,1,2,-1,-4]`
- Output: `[[-1,-1,2],[-1,0,1]]`
- Explanation: `nums[0] + nums[1] + nums[2] = (-1) + 0 + 1 = 0`. `nums[1] + nums[2] + nums[4] = 0 + 1 + (-1) = 0`. `nums[0] + nums[3] + nums[4] = (-1) + 2 + (-1) = 0`. The distinct triplets are `[-1,0,1]` and `[-1,-1,2]`. Notice that the order of the output and the order of the triplets does not matter.
### Example 2:
- Input: `nums = [0,1,1]`
- Output: `[]`
- Explanation: The only possible triplet does not sum up to `0`.
### Example 3:
- Input: `nums = [0,0,0]`
- Output: `[[0,0,0]]`
- Explanation: The only possible triplet sums up to `0`.
### Constraints:
- `3 <= nums.length <= 3000`
- `-10^5 <= nums[i] <= 10^5`
## Approach
```mermaid
flowchart TD
S(["threeSum(nums)"]) --> O["nums.sort() — duplicates become adjacent"]
O --> F{"more i in 0..n-1?"}
F -- no --> E(["return result"])
F -- yes --> D{"nums[i] == nums[i-1]?"}
D -- yes --> F
D -- no --> P["left = i+1, right = n-1, target = -nums[i]"]
P --> W{"left < right?"}
W -- no --> F
W -- yes --> C["current = nums[left] + nums[right]"]
C --> Q{"current vs target"}
Q -- equal --> A["append triplet, skip equal neighbours, left += 1, right -= 1"]
A --> W
Q -- "current < target" --> L["left += 1 — need a bigger sum"]
L --> W
Q -- "current > target" --> R["right -= 1 — need a smaller sum"]
R --> W
```
## Solution
```py
class Solution:
def threeSum(self, nums: list[int]) -> list[list[int]]:
nums.sort()
result = []
n = len(nums)
for i in range(n):
# skip all zero
if i > 0 and nums[i] == nums[i - 1]:
continue
# two pointers
left = i + 1
right = n - 1
target = -nums[i]
while left < right:
current = nums[left] + nums[right]
if current == target:
result.append([nums[i], nums[left], nums[right]])
# skip duplicates
while left < right and nums[left] == nums[left + 1]:
left += 1
while left < right and nums[right] == nums[right - 1]:
right -= 1
# shift pointers
left += 1
right -= 1
# since sorted, if current < target, then move left
elif current < target:
left += 1
# since sorted, if current > target, then move right
else:
right -= 1
return result
```
## Explanation
<YouTube id="jzZsG8n2R9A" title="3Sum - Leetcode 15 - Python" />
@@ -0,0 +1,75 @@
---
title: '167. Two Sum II - Input Array Is Sorted'
description: Given a 1-indexed array of integers numbers that is already sorted in non-decreasing order, find two numbers such that they add up to a specific target number. Let these two numbers be numbers[index1] and numbers[index2] where 1 <= index1 < index2 <= numbers.length
sidebar:
label: 'Two Sum II - Input Array Is Sorted'
badge: 'Medium'
---
<Badge variant="accent">Array</Badge>
::::warning
Your solution must use only constant extra space.
::::
### Example 1:
- Input: `numbers = [2,7,11,15], target = 9`
- Output: `[1,2]`
- Explanation: The sum of `2` and `7` is `9`. Therefore, `index1 = 1`, `index2 = 2`. We return `[1, 2]`.
### Example 2:
- Input: `numbers = [2,3,4], target = 6`
- Output: `[1,3]`
- Explanation: The sum of `2` and `4` is `6`. Therefore `index1 = 1`, `index2 = 3`. We return `[1, 3]`.
### Example 3:
- Input: `numbers = [-1,0], target = -1`
- Output: `[1,2]`
- Explanation: The sum of `-1` and `0` is `-1`. Therefore `index1 = 1`, `index2 = 2`. We return `[1, 2]`.
### Constraints:
- `2 <= numbers.length <= 3 * 10^4`
- `-1000 <= numbers[i] <= 1000`
- `numbers` is sorted in non-decreasing order.
- `-1000 <= target <= 1000`
- The tests are generated such that there is exactly one solution.
## Approach
```mermaid
flowchart TD
S(["twoSum(numbers, target)"]) --> I["i = 0, j = len - 1"]
I --> W{"i < j?"}
W -- no --> E(["return []"])
W -- yes --> C["c = numbers[i] + numbers[j]"]
C --> Q{"c vs target"}
Q -- equal --> R(["return [i+1, j+1] — 1-indexed"])
Q -- "c < target" --> L["i += 1 — grow the sum"]
L --> W
Q -- "c > target" --> H["j -= 1 — shrink the sum"]
H --> W
```
## Solution
```py
class Solution:
def twoSum(self, numbers: List[int], target: int) -> List[int]:
i = 0
j = len(numbers) - 1
while i < j:
c = numbers[i] + numbers[j]
if c == target:
return [i + 1, j + 1]
elif c < target:
i+=1
else:
j-=1
return []
```
## Explanation
<YouTube id="cQ1Oz4ckceM" title="TWO SUM II - Amazon Coding Interview Question - Leetcode 167 - Python" />
@@ -0,0 +1,61 @@
---
title: '344. Reverse String'
description: Write a function that reverses a string. The input string is given as an array of characters s
sidebar:
label: 'Reverse String'
badge: 'Easy'
---
<Badge variant="accent">Two Pointers</Badge>
:::warning
You must do this by modifying the input array in-place with O(1) extra memory.
:::
### Example 1:
- Input: `s = ["h","e","l","l","o"]`
- Output: `["o","l","l","e","h"]`
### Example 2:
- Input: `s = ["H","a","n","n","a","h"]`
- Output: `["h","a","n","n","a","H"]`
### Constraints:
- `1 <= s.length <= 10^5`
- `s[i]` is a printable ascii character.
## Approach
```mermaid
flowchart TD
S(["reverseString(s)"]) --> I["i = 0, j = s.length - 1"]
I --> W{"i < j?"}
W -- no --> E(["done — s was reversed in place, nothing returned"])
W -- yes --> A["swap s[i] and s[j]"]
A --> B["i++; j--"]
B --> W
```
## Solution
```js
/**
* @param {character[]} s
* @return {void} Do not return anything, modify s in-place instead.
*/
var reverseString = function(s) {
let i = 0;
let j = s.length - 1;
while (i < j) {
[s[i], s[j]] = [s[j], s[i]];
j--;
i++;
}
};
```
## Explanation
<YouTube id="_d0T_2Lk2qA" title="Reverse String - 3 Ways - Leetcode 344 - Python" />
@@ -0,0 +1,64 @@
---
title: '392. Is Subsequence'
description: Given two strings s and t, return true if s is a subsequence of t, or false otherwise
sidebar:
label: 'Is Subsequence'
badge: 'Easy'
---
<Badge variant="accent">Two Pointers</Badge>
::::warning
Suppose there are lots of incoming s, say s1, s2, ..., sk where k >= 10^9, and you want to check one by one to see if t has its subsequence. In this scenario, how would you change your code?
::::
### Example 1:
- Input: `s = "abc", t = "ahbgdc"`
- Output: `true`
### Example 2:
- Input: `s = "axc", t = "ahbgdc"`
- Output: `false`
### Constraints:
- `0 <= s.length <= 100`
- `0 <= t.length <= 10^4`
- `s` and `t` consist only of lowercase English letters.
## Approach
```mermaid
flowchart TD
S(["isSubsequence(s, t)"]) --> G{"len(s) > len(t)?"}
G -- yes --> X(["return False"])
G -- no --> I["i = 0 into s, j = 0 into t"]
I --> W{"i < len(s) and j < len(t)?"}
W -- no --> E(["return i == len(s) — every char of s was matched"])
W -- yes --> Q{"s[i] == t[j]?"}
Q -- yes --> A["i += 1 — consume the match"]
Q -- no --> B["j += 1 — always advance t"]
A --> B
B --> W
```
## Solution
```py
class Solution:
def isSubsequence(self, s: str, t: str) -> bool:
if len(s) > len(t):
return False
i, j = 0, 0
while i < len(s) and j < len(t):
if s[i] == t[j]:
i += 1
j += 1
return i == len(s)
```
## Explanation
<YouTube id="99RVfqklbCE" title="Is Subsequence - Leetcode 392" />
@@ -0,0 +1,74 @@
---
title: '977. Squares of a Sorted Array'
description: Given an integer array nums sorted in non-decreasing order, return an array of the squares of each number sorted in non-decreasing order
sidebar:
label: 'Squares of a Sorted Array'
badge: 'Easy'
---
<Badge variant="accent">Array</Badge>
::::warning
Squaring each element and sorting the new array is very trivial, could you find an O(n) solution using a different approach?
::::
### Example 1:
- Input: `nums = [-4,-1,0,3,10]`
- Output: `[0,1,9,16,100]`
- Explanation: After squaring, the array becomes `[16,1,0,9,100]`. After sorting, it becomes `[0,1,9,16,100]`.
### Example 2:
- Input: `nums = [-7,-3,2,3,11]`
- Output: `[4,9,9,49,121]`
### Constraints:
- `1 <= nums.length <= 10^4`
- `-10^4 <= nums[i] <= 10^4`
- `nums` is sorted in non-decreasing order.
## Approach
```mermaid
flowchart TD
S(["sortedSquares(nums)"]) --> I["ans = Array(n), left = 0, right = n - 1"]
I --> L{"more i from n-1 down to 0?"}
L -- no --> E(["return ans"])
L -- yes --> C{"abs(nums[left]) < abs(nums[right])?"}
C -- yes --> R["square = nums[right]; right--"]
C -- no --> F["square = nums[left]; left++"]
R --> W["ans[i] = square * square — fill from the back, largest first"]
F --> W
W --> L
```
## Solution
```js
/**
* @param {number[]} nums
* @return {number[]}
*/
var sortedSquares = function(nums) {
let n = nums.length;
let ans = new Array(nums.length);
let left = 0, right = nums.length - 1;
for (let i = n -1; i >= 0; i--){
let square;
if(Math.abs(nums[left]) < Math.abs(nums[right])){
square = nums[right];
right--;
}else{
square = nums[left];
left++;
}
ans[i] = square*square;
}
return ans;
};
```
## Explanation
<YouTube id="FPCZsG_AkUg" title="Squares of a Sorted Array - Leetcode 977 - Python" />
@@ -0,0 +1,5 @@
---
title: Two Pointers
description: 'Two indices move through the data from different positions and meet at the answer.'
hidden: true
---
@@ -0,0 +1,3 @@
import { defineMeta } from "blume";
export default defineMeta({ title: "Two Pointers", order: 3, icon: "arrow-left-right", display: "group" });