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2023-07-04
137. Single Number II

Topic: Array, Bit Manipulation
Difficulty: Medium

Problem:
Given an integer array nums where every element appears three times except for one, which appears exactly once. Find the single element and return it.

You must implement a solution with a linear runtime complexity and use only constant extra space.

Example 1:

Input: nums = [2,2,3,2]
Output: 3


Example 2:

Input: nums = [0,1,0,1,0,1,99]
Output: 99


Constraints:

1 <= nums.length <= 3 * 10^4
-2^31 <= nums[i] <= 2^31 - 1
• Each element in nums appears exactly three times except for one element which appears once.
2023-07-05
1493. Longest Subarray of 1's After Deleting One Element

Topic: Array, Dynamic Programming, Sliding Window
Difficulty: Medium

Problem:
Given a binary array nums, you should delete one element from it.

Return the size of the longest non-empty subarray containing only 1's in the resulting array. Return 0 if there is no such subarray.

Example 1:

Input: nums = [1,1,0,1]
Output: 3
Explanation: After deleting the number in position 2, [1,1,1] contains 3 numbers with value of 1's.


Example 2:

Input: nums = [0,1,1,1,0,1,1,0,1]
Output: 5
Explanation: After deleting the number in position 4, [0,1,1,1,1,1,0,1] longest subarray with value of 1's is [1,1,1,1,1].


Example 3:

Input: nums = [1,1,1]
Output: 2
Explanation: You must delete one element.


Constraints:

1 <= nums.length <= 10^5
nums[i] is either 0 or 1.
2023-07-06
209. Minimum Size Subarray Sum

Topic: Array, Binary Search, Sliding Window, Prefix Sum
Difficulty: Medium

Problem:
Given an array of positive integers nums and a positive integer target, return the minimal length of a subarray whose sum is greater than or equal to target. If there is no such subarray, return 0 instead.

Example 1:

Input: target = 7, nums = [2,3,1,2,4,3]
Output: 2
Explanation: The subarray [4,3] has the minimal length under the problem constraint.


Example 2:

Input: target = 4, nums = [1,4,4]
Output: 1


Example 3:

Input: target = 11, nums = [1,1,1,1,1,1,1,1]
Output: 0


Constraints:

1 <= target <= 10^9
1 <= nums.length <= 10^5
1 <= nums[i] <= 10^4

Follow up: If you have figured out the O(n) solution, try coding another solution of which the time complexity is O(n log(n)).
2023-07-07
2024. Maximize the Confusion of an Exam

Topic: String, Binary Search, Sliding Window, Prefix Sum
Difficulty: Medium

Problem:
A teacher is writing a test with n true/false questions, with 'T' denoting true and 'F' denoting false. He wants to confuse the students by maximizing the number of consecutive questions with the same answer (multiple trues or multiple falses in a row).

You are given a string answerKey, where answerKey[i] is the original answer to the i^th question. In addition, you are given an integer k, the maximum number of times you may perform the following operation:

• Change the answer key for any question to 'T' or 'F' (i.e., set answerKey[i] to 'T' or 'F').

Return the maximum number of consecutive 'T's or 'F's in the answer key after performing the operation at most k times.

Example 1:

Input: answerKey = "TTFF", k = 2
Output: 4
Explanation: We can replace both the 'F's with 'T's to make answerKey = "TTTT".
There are four consecutive 'T's.


Example 2:

Input: answerKey = "TFFT", k = 1
Output: 3
Explanation: We can replace the first 'T' with an 'F' to make answerKey = "FFFT".
Alternatively, we can replace the second 'T' with an 'F' to make answerKey = "TFFF".
In both cases, there are three consecutive 'F's.


Example 3:

Input: answerKey = "TTFTTFTT", k = 1
Output: 5
Explanation: We can replace the first 'F' to make answerKey = "TTTTTFTT"
Alternatively, we can replace the second 'F' to make answerKey = "TTFTTTTT".
In both cases, there are five consecutive 'T's.


Constraints:

n == answerKey.length
1 <= n <= 5 * 10^4
answerKey[i] is either 'T' or 'F'
1 <= k <= n
2023-07-08
2551. Put Marbles in Bags

Topic: Array, Greedy, Sorting, Heap (Priority Queue)
Difficulty: Hard

Problem:
You have k bags. You are given a 0-indexed integer array weights where weights[i] is the weight of the i^th marble. You are also given the integer k.

Divide the marbles into the k bags according to the following rules:

• No bag is empty.
• If the i^th marble and j^th marble are in a bag, then all marbles with an index between the i^th and j^th indices should also be in that same bag.
• If a bag consists of all the marbles with an index from i to j inclusively, then the cost of the bag is weights[i] + weights[j].

The score after distributing the marbles is the sum of the costs of all the k bags.

Return the difference between the maximum and minimum scores among marble distributions.

Example 1:

Input: weights = [1,3,5,1], k = 2
Output: 4
Explanation:
The distribution [1],[3,5,1] results in the minimal score of (1+1) + (3+1) = 6.
The distribution [1,3],[5,1], results in the maximal score of (1+3) + (5+1) = 10.
Thus, we return their difference 10 - 6 = 4.


Example 2:

Input: weights = [1, 3], k = 2
Output: 0
Explanation: The only distribution possible is [1],[3].
Since both the maximal and minimal score are the same, we return 0.


Constraints:

1 <= k <= weights.length <= 10^5
1 <= weights[i] <= 10^9
2023-07-09
2272. Substring With Largest Variance

Topic: Array, Dynamic Programming
Difficulty: Hard

Problem:
The variance of a string is defined as the largest difference between the number of occurrences of any 2 characters present in the string. Note the two characters may or may not be the same.

Given a string s consisting of lowercase English letters only, return the largest variance possible among all substrings of s.

A substring is a contiguous sequence of characters within a string.

Example 1:

Input: s = "aababbb"
Output: 3
Explanation:
All possible variances along with their respective substrings are listed below:
- Variance 0 for substrings "a", "aa", "ab", "abab", "aababb", "ba", "b", "bb", and "bbb".
- Variance 1 for substrings "aab", "aba", "abb", "aabab", "ababb", "aababbb", and "bab".
- Variance 2 for substrings "aaba", "ababbb", "abbb", and "babb".
- Variance 3 for substring "babbb".
Since the largest possible variance is 3, we return it.


Example 2:

Input: s = "abcde"
Output: 0
Explanation:
No letter occurs more than once in s, so the variance of every substring is 0.


Constraints:

1 <= s.length <= 10^4
s consists of lowercase English letters.
2023-07-10
111. Minimum Depth of Binary Tree

Topic: Tree, Depth-First Search, Breadth-First Search, Binary Tree
Difficulty: Easy

Problem:
Given a binary tree, find its minimum depth.

The minimum depth is the number of nodes along the shortest path from the root node down to the nearest leaf node.

Note: A leaf is a node with no children.

Example 1:

Image: https://assets.leetcode.com/uploads/2020/10/12/ex_depth.jpg

Input: root = [3,9,20,null,null,15,7]
Output: 2


Example 2:

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


Constraints:

• The number of nodes in the tree is in the range [0, 10^5].
-1000 <= Node.val <= 1000
2023-07-11
863. All Nodes Distance K in Binary Tree

Topic: Tree, Depth-First Search, Breadth-First Search, Binary Tree
Difficulty: Medium

Problem:
Given the root of a binary tree, the value of a target node target, and an integer k, return an array of the values of all nodes that have a distance k from the target node.

You can return the answer in any order.

Example 1:

Image: https://s3-lc-upload.s3.amazonaws.com/uploads/2018/06/28/sketch0.png

Input: root = [3,5,1,6,2,0,8,null,null,7,4], target = 5, k = 2
Output: [7,4,1]
Explanation: The nodes that are a distance 2 from the target node (with value 5) have values 7, 4, and 1.


Example 2:

Input: root = [1], target = 1, k = 3
Output: []


Constraints:

• The number of nodes in the tree is in the range [1, 500].
0 <= Node.val <= 500
• All the values Node.val are unique.
target is the value of one of the nodes in the tree.
0 <= k <= 1000
2023-07-12
802. Find Eventual Safe States

Topic: Depth-First Search, Breadth-First Search, Graph, Topological Sort
Difficulty: Medium

Problem:
There is a directed graph of n nodes with each node labeled from 0 to n - 1. The graph is represented by a 0-indexed 2D integer array graph where graph[i] is an integer array of nodes adjacent to node i, meaning there is an edge from node i to each node in graph[i].

A node is a terminal node if there are no outgoing edges. A node is a safe node if every possible path starting from that node leads to a terminal node (or another safe node).

Return an array containing all the safe nodes of the graph. The answer should be sorted in ascending order.

Example 1:

Image: https://s3-lc-upload.s3.amazonaws.com/uploads/2018/03/17/picture1.png

Input: graph = [[1,2],[2,3],[5],[0],[5],[],[]]
Output: [2,4,5,6]
Explanation: The given graph is shown above.
Nodes 5 and 6 are terminal nodes as there are no outgoing edges from either of them.
Every path starting at nodes 2, 4, 5, and 6 all lead to either node 5 or 6.


Example 2:

Input: graph = [[1,2,3,4],[1,2],[3,4],[0,4],[]]
Output: [4]
Explanation:
Only node 4 is a terminal node, and every path starting at node 4 leads to node 4.


Constraints:

n == graph.length
1 <= n <= 10^4
0 <= graph[i].length <= n
0 <= graph[i][j] <= n - 1
graph[i] is sorted in a strictly increasing order.
• The graph may contain self-loops.
• The number of edges in the graph will be in the range [1, 4 * 10^4].
2023-07-13
207. Course Schedule

Topic: Depth-First Search, Breadth-First Search, Graph, Topological Sort
Difficulty: Medium

Problem:
There are a total of numCourses courses you have to take, labeled from 0 to numCourses - 1. You are given an array prerequisites where prerequisites[i] = [a_i, b_i] indicates that you must take course b_i first if you want to take course a_i.

• For example, the pair [0, 1], indicates that to take course 0 you have to first take course 1.

Return true if you can finish all courses. Otherwise, return false.

Example 1:

Input: numCourses = 2, prerequisites = [[1,0]]
Output: true
Explanation: There are a total of 2 courses to take.
To take course 1 you should have finished course 0. So it is possible.


Example 2:

Input: numCourses = 2, prerequisites = [[1,0],[0,1]]
Output: false
Explanation: There are a total of 2 courses to take.
To take course 1 you should have finished course 0, and to take course 0 you should also have finished course 1. So it is impossible.


Constraints:

1 <= numCourses <= 2000
0 <= prerequisites.length <= 5000
prerequisites[i].length == 2
0 <= a_i, b_i < numCourses
• All the pairs prerequisitesi are unique.
2023-07-14
1218. Longest Arithmetic Subsequence of Given Difference

Topic: Array, Hash Table, Dynamic Programming
Difficulty: Medium

Problem:
Given an integer array arr and an integer difference, return the length of the longest subsequence in arr which is an arithmetic sequence such that the difference between adjacent elements in the subsequence equals difference.

A subsequence is a sequence that can be derived from arr by deleting some or no elements without changing the order of the remaining elements.

Example 1:

Input: arr = [1,2,3,4], difference = 1
Output: 4
Explanation: The longest arithmetic subsequence is [1,2,3,4].


Example 2:

Input: arr = [1,3,5,7], difference = 1
Output: 1
Explanation: The longest arithmetic subsequence is any single element.


Example 3:

Input: arr = [1,5,7,8,5,3,4,2,1], difference = -2
Output: 4
Explanation: The longest arithmetic subsequence is [7,5,3,1].


Constraints:

1 <= arr.length <= 10^5
-10^4 <= arr[i], difference <= 10^4
2023-07-15
1751. Maximum Number of Events That Can Be Attended II

Topic: Array, Binary Search, Dynamic Programming, Sorting
Difficulty: Hard

Problem:
You are given an array of events where events[i] = [startDay_i, endDay_i, value_i]. The i^th event starts at startDay_i and ends at endDay_i, and if you attend this event, you will receive a value of value_i. You are also given an integer k which represents the maximum number of events you can attend.

You can only attend one event at a time. If you choose to attend an event, you must attend the entire event. Note that the end day is inclusive: that is, you cannot attend two events where one of them starts and the other ends on the same day.

Return the maximum sum of values that you can receive by attending events.

Example 1:

Image: https://assets.leetcode.com/uploads/2021/01/10/screenshot-2021-01-11-at-60048-pm.png

Input: events = [[1,2,4],[3,4,3],[2,3,1]], k = 2
Output: 7
Explanation: Choose the green events, 0 and 1 (0-indexed) for a total value of 4 + 3 = 7.


Example 2:

Image: https://assets.leetcode.com/uploads/2021/01/10/screenshot-2021-01-11-at-60150-pm.png

Input: events = [[1,2,4],[3,4,3],[2,3,10]], k = 2
Output: 10
Explanation: Choose event 2 for a total value of 10.
Notice that you cannot attend any other event as they overlap, and that you do not have to attend k events.


Example 3:

Image: https://assets.leetcode.com/uploads/2021/01/10/screenshot-2021-01-11-at-60703-pm.png

Input: events = [[1,1,1],[2,2,2],[3,3,3],[4,4,4]], k = 3
Output: 9
Explanation: Although the events do not overlap, you can only attend 3 events. Pick the highest valued three.


Constraints:

1 <= k <= events.length
1 <= k * events.length <= 10^6
1 <= startDay_i <= endDay_i <= 10^9
1 <= value_i <= 10^6
2023-07-16
1125. Smallest Sufficient Team

Topic: Array, Dynamic Programming, Bit Manipulation, Bitmask
Difficulty: Hard

Problem:
In a project, you have a list of required skills req_skills, and a list of people. The i^th person people[i] contains a list of skills that the person has.

Consider a sufficient team: a set of people such that for every required skill in req_skills, there is at least one person in the team who has that skill. We can represent these teams by the index of each person.

• For example, team = [0, 1, 3] represents the people with skills people[0], people[1], and people[3].

Return any sufficient team of the smallest possible size, represented by the index of each person. You may return the answer in any order.

It is guaranteed an answer exists.

Example 1:

Input: req_skills = ["java","nodejs","reactjs"], people = [["java"],["nodejs"],["nodejs","reactjs"]]
Output: [0,2]


Example 2:

Input: req_skills = ["algorithms","math","java","reactjs","csharp","aws"], people = [["algorithms","math","java"],["algorithms","math","reactjs"],["java","csharp","aws"],["reactjs","csharp"],["csharp","math"],["aws","java"]]
Output: [1,2]


Constraints:

1 <= req_skills.length <= 16
1 <= req_skills[i].length <= 16
req_skills[i] consists of lowercase English letters.
• All the strings of req_skills are unique.
1 <= people.length <= 60
0 <= people[i].length <= 16
1 <= people[i][j].length <= 16
people[i][j] consists of lowercase English letters.
• All the strings of people[i] are unique.
• Every skill in people[i] is a skill in req_skills.
• It is guaranteed a sufficient team exists.
2023-07-17
445. Add Two Numbers II

Topic: Linked List, Math, Stack
Difficulty: Medium

Problem:
You are given two non-empty linked lists representing two non-negative integers. The most significant digit comes first and each of their nodes contains a single digit. Add the two numbers and return the sum as a linked list.

You may assume the two numbers do not contain any leading zero, except the number 0 itself.

Example 1:

Image: https://assets.leetcode.com/uploads/2021/04/09/sumii-linked-list.jpg

Input: l1 = [7,2,4,3], l2 = [5,6,4]
Output: [7,8,0,7]


Example 2:

Input: l1 = [2,4,3], l2 = [5,6,4]
Output: [8,0,7]


Example 3:

Input: l1 = [0], l2 = [0]
Output: [0]


Constraints:

• The number of nodes in each linked list is in the range [1, 100].
0 <= Node.val <= 9
• It is guaranteed that the list represents a number that does not have leading zeros.

Follow up: Could you solve it without reversing the input lists?
2023-07-18
146. LRU Cache

Topic: Hash Table, Linked List, Design, Doubly-Linked List
Difficulty: Medium

Problem:
Design a data structure that follows the constraints of a Least Recently Used (LRU) cache.

Implement the LRUCache class:

LRUCache(int capacity) Initialize the LRU cache with positive size capacity.
int get(int key) Return the value of the key if the key exists, otherwise return -1.
void put(int key, int value) Update the value of the key if the key exists. Otherwise, add the key-value pair to the cache. If the number of keys exceeds the capacity from this operation, evict the least recently used key.

The functions get and put must each run in O(1) average time complexity.

Example 1:

Input
["LRUCache", "put", "put", "get", "put", "get", "put", "get", "get", "get"]
[[2], [1, 1], [2, 2], [1], [3, 3], [2], [4, 4], [1], [3], [4]]
Output
[null, null, null, 1, null, -1, null, -1, 3, 4]

Explanation
LRUCache lRUCache = new LRUCache(2);
lRUCache.put(1, 1); // cache is {1=1}
lRUCache.put(2, 2); // cache is {1=1, 2=2}
lRUCache.get(1); // return 1
lRUCache.put(3, 3); // LRU key was 2, evicts key 2, cache is {1=1, 3=3}
lRUCache.get(2); // returns -1 (not found)
lRUCache.put(4, 4); // LRU key was 1, evicts key 1, cache is {4=4, 3=3}
lRUCache.get(1); // return -1 (not found)
lRUCache.get(3); // return 3
lRUCache.get(4); // return 4


Constraints:

1 <= capacity <= 3000
0 <= key <= 10^4
0 <= value <= 10^5
• At most 2 * 10^5 calls will be made to get and put.
2023-07-19
435. Non-overlapping Intervals

Topic: Array, Dynamic Programming, Greedy, Sorting
Difficulty: Medium

Problem:
Given an array of intervals intervals where intervals[i] = [start_i, end_i], return the minimum number of intervals you need to remove to make the rest of the intervals non-overlapping.

Example 1:

Input: intervals = [[1,2],[2,3],[3,4],[1,3]]
Output: 1
Explanation: [1,3] can be removed and the rest of the intervals are non-overlapping.


Example 2:

Input: intervals = [[1,2],[1,2],[1,2]]
Output: 2
Explanation: You need to remove two [1,2] to make the rest of the intervals non-overlapping.


Example 3:

Input: intervals = [[1,2],[2,3]]
Output: 0
Explanation: You don't need to remove any of the intervals since they're already non-overlapping.


Constraints:

1 <= intervals.length <= 10^5
intervals[i].length == 2
-5 * 10^4 <= start_i < end_i <= 5 * 10^4
2023-07-20
735. Asteroid Collision

Topic: Array, Stack, Simulation
Difficulty: Medium

Problem:
We are given an array asteroids of integers representing asteroids in a row.

For each asteroid, the absolute value represents its size, and the sign represents its direction (positive meaning right, negative meaning left). Each asteroid moves at the same speed.

Find out the state of the asteroids after all collisions. If two asteroids meet, the smaller one will explode. If both are the same size, both will explode. Two asteroids moving in the same direction will never meet.

Example 1:

Input: asteroids = [5,10,-5]
Output: [5,10]
Explanation: The 10 and -5 collide resulting in 10. The 5 and 10 never collide.


Example 2:

Input: asteroids = [8,-8]
Output: []
Explanation: The 8 and -8 collide exploding each other.


Example 3:

Input: asteroids = [10,2,-5]
Output: [10]
Explanation: The 2 and -5 collide resulting in -5. The 10 and -5 collide resulting in 10.


Constraints:

2 <= asteroids.length <= 10^4
-1000 <= asteroids[i] <= 1000
asteroids[i] != 0
2023-07-21
673. Number of Longest Increasing Subsequence

Topic: Array, Dynamic Programming, Binary Indexed Tree, Segment Tree
Difficulty: Medium

Problem:
Given an integer array nums, return the number of longest increasing subsequences.

Notice that the sequence has to be strictly increasing.

Example 1:

Input: nums = [1,3,5,4,7]
Output: 2
Explanation: The two longest increasing subsequences are [1, 3, 4, 7] and [1, 3, 5, 7].


Example 2:

Input: nums = [2,2,2,2,2]
Output: 5
Explanation: The length of the longest increasing subsequence is 1, and there are 5 increasing subsequences of length 1, so output 5.


Constraints:

1 <= nums.length <= 2000
-10^6 <= nums[i] <= 10^6
2023-07-22
688. Knight Probability in Chessboard

Topic: Dynamic Programming
Difficulty: Medium

Problem:
On an n x n chessboard, a knight starts at the cell (row, column) and attempts to make exactly k moves. The rows and columns are 0-indexed, so the top-left cell is (0, 0), and the bottom-right cell is (n - 1, n - 1).

A chess knight has eight possible moves it can make, as illustrated below. Each move is two cells in a cardinal direction, then one cell in an orthogonal direction.

Image: https://assets.leetcode.com/uploads/2018/10/12/knight.png

Each time the knight is to move, it chooses one of eight possible moves uniformly at random (even if the piece would go off the chessboard) and moves there.

The knight continues moving until it has made exactly k moves or has moved off the chessboard.

Return the probability that the knight remains on the board after it has stopped moving.

Example 1:

Input: n = 3, k = 2, row = 0, column = 0
Output: 0.06250
Explanation: There are two moves (to (1,2), (2,1)) that will keep the knight on the board.
From each of those positions, there are also two moves that will keep the knight on the board.
The total probability the knight stays on the board is 0.0625.


Example 2:

Input: n = 1, k = 0, row = 0, column = 0
Output: 1.00000


Constraints:

1 <= n <= 25
0 <= k <= 100
0 <= row, column <= n - 1
2023-07-23
894. All Possible Full Binary Trees

Topic: Dynamic Programming, Tree, Recursion, Memoization, Binary Tree
Difficulty: Medium

Problem:
Given an integer n, return a list of all possible full binary trees with n nodes. Each node of each tree in the answer must have Node.val == 0.

Each element of the answer is the root node of one possible tree. You may return the final list of trees in any order.

A full binary tree is a binary tree where each node has exactly 0 or 2 children.

Example 1:

Image: https://s3-lc-upload.s3.amazonaws.com/uploads/2018/08/22/fivetrees.png

Input: n = 7
Output: [[0,0,0,null,null,0,0,null,null,0,0],[0,0,0,null,null,0,0,0,0],[0,0,0,0,0,0,0],[0,0,0,0,0,null,null,null,null,0,0],[0,0,0,0,0,null,null,0,0]]


Example 2:

Input: n = 3
Output: [[0,0,0]]


Constraints:

1 <= n <= 20
2023-07-24
50. Pow(x, n)

Topic: Math, Recursion
Difficulty: Medium

Problem:
Implement pow(x, n), which calculates x raised to the power n (i.e., x^n).

Example 1:

Input: x = 2.00000, n = 10
Output: 1024.00000


Example 2:

Input: x = 2.10000, n = 3
Output: 9.26100


Example 3:

Input: x = 2.00000, n = -2
Output: 0.25000
Explanation: 2^-2 = 1/2^2 = 1/4 = 0.25


Constraints:

-100.0 < x < 100.0
-2^31 <= n <= 2^31-1
n is an integer.
• Either x is not zero or n > 0.
-10^4 <= x^n <= 10^4