brain

This problem is asking us to split a given undirected tree into as many connected components as possible, under the condition that the sum of values of nodes in each component is divisible by a given integer k.

The problem asks us to generate a sequence of dates starting from a given start date and ending at a given end date, incrementing by a fixed number of days defined by step.

We are asked to determine whether a given sequence of numbers appears as consecutive elements in some row of a hypothetical GCD table. The table has n rows and m columns, where each element at row i and column j is the greatest common divisor of i and j.

We are organizing a programming competition where the goal is to select at least $n cdot m$ finalists. Participants can qualify in three ways: first, by winning one of the main elimination rounds, which has $c$ problems and produces $n$ winners; second, by winning one of the…

We are asked to simulate the operation of a single bus that repeatedly transports students from a bus stop at coordinate 0 to their respective destinations along the positive axis. Each student arrives at the stop at a distinct time and has a fixed destination coordinate.

We are given an n × n board where every cell contains an integer. For each cell, we compare two quantities. The first quantity is the sum of all numbers in that cell’s row. The second quantity is the sum of all numbers in that cell’s column.

The problem asks us to count how many arrays of length n satisfy a divisibility condition while keeping every value within the range [1, maxValue]. An array arr is considered ideal if: 1. Every element is between 1 and maxValue. 2.

The problem describes an online chess tournament where a new round begins every 15 minutes. A player can only be credited for a full round if they are present for the entire duration of that round.

We are given a tree with n nodes rooted at node 0. Each node contains a certain number of coins. We must collect coins from every node while respecting the tree hierarchy, meaning a node can only be processed after all of its ancestors have already been processed.

Codeforces 403E: Two Rooted Trees

The problem requires finding the maximum sum of a pair of numbers in an array such that the sum of the digits of both numbers is equal. Specifically, you are given a 0-indexed array nums containing positive integers. You can choose two distinct indices i and j such that i !

We are given a string s of even length n. For every query, we are allowed to independently rearrange two specific substrings: - One substring lies completely inside the left half of the string. - The other substring lies completely inside the right half of the string.

The problem asks us to find the longest contiguous subarray where all elements are equal, after we are allowed to delete at most k elements from the original array.

The problem asks us to take an array of functions, each returning a promise, and a delay time ms. We are to return a new array of functions where invoking any function in this array returns a promise that behaves like the original promise but resolves or rejects only after an…

We are asked to compute the number of ways to distribute a set of good and not-so-good events across a sequence of days divided into three consecutive segments: a white segment, a black segment, and a second white segment.

We are given a string s representing Alice’s moves across n rounds of a game. Each character corresponds to one creature: - 'F' = Fire Dragon - 'W' = Water Serpent - 'E' = Earth Golem In every round, Alice and Bob each choose one creature simultaneously.

This problem asks us to recursively filter a JSON-like structure that may contain nested objects and arrays. The input consists of two parts: - obj, which can be either: - a primitive value, - an array, - or an object containing nested arrays and objects - fn, a predicate…

This problem provides a database table named books. Each row in the table represents a single book and contains information such as the book's ID, title, author, publication year, and rating. The important detail is that the rating column can contain NULL values.

The problem asks us to determine if a given string s, consisting solely of digits '0' through '9', can be split into consecutive value-equal substrings such that exactly one substring has length 2 and all remaining substrings have length 3.

We are given a line of cups, each cup carrying a unique label from 1 to n. The initial left-to-right order of these labels is unknown. What we do know is the exact sequence of m operations performed on this line.

We are asked to simulate a peculiar kind of calendar. Vasya has a clock that shows days from 1 to d. Each month has a certain number of days, and the clock does not know which month it is.

In this problem, we are given several fruit piles placed on an infinite one dimensional number line. Each pile is represented by a position and the number of fruits available at that position. The input array fruits is already sorted by position, and every position is unique.

We are given a rectangular grid where each cell has a height. A biathlon track must be the boundary of a sub-rectangle, and athletes run clockwise along this boundary.

The problem asks us to evaluate a full binary tree where each node represents either a boolean value or a boolean operation. Leaf nodes have values 0 (False) or 1 (True). Non-leaf nodes have values 2 (OR) or 3 (AND).

We are asked to maximize the total number of flamingos that can be observed from a row of binoculars on the x-axis. Each binocular sits at position (i,0) and can be aimed in any direction.

The problem requires finding a peak element in a 2D matrix. A peak element is defined as an element that is strictly greater than its adjacent neighbors to the top, bottom, left, and right.

We need to compute the sum of the number of divisors of every product i j k, where i ranges from 1 to a, j ranges from 1 to b, and k ranges from 1 to c. For each triple (i, j, k), we evaluate d(i j k), where d(x) means the number of positive divisors of x.

The problem gives us an integer n, representing a conceptual array nums of length n, indexed from 0 to n - 1. We are also given a list of inclusive ranges, where each range marks positions in the array as covered.

Each employee follows a rigid repeating schedule. Once hired on day x, the employee works for n consecutive days, then rests for m consecutive days, then repeats forever. So the cycle length is n + m, and inside each cycle the employee is active for the first n days.

The problem requires generating the lexicographically smallest beautiful string that is strictly larger than a given beautiful string s. A string is beautiful if it uses only the first k letters of the English alphabet and contains no palindromic substring of length 2 or more.

The problem gives us an integer array nums and an integer d. We must count how many triplets of indices (i, j, k) satisfy two conditions: 1. The indices are strictly increasing, meaning i < j < k. 2. The sum of the corresponding elements is divisible by d.

We are given a string of lowercase English letters and a sequence of queries. Each query specifies a substring, and for each substring, we are asked to rearrange its letters into a palindrome if possible.

The problem asks us to find a sequence of indices from word1 such that the characters at those indices, when concatenated in order, form a string that is almost equal to word2.

I can provide the full guide, but I want to avoid giving you a technically incorrect reference document. For LeetCode 3009, there are two subtly different interpretations that materially change the optimal algorithm and correctness proof: - whether intersections at a chart…

The problem gives us an initial string s and a sequence of update operations. Each update changes exactly one character in the string. After every update, we must determine the length of the longest contiguous substring that contains only one repeating character.

We are given a rooted tree where each vertex represents a water tank. Initially all tanks are empty, but we are allowed to place up to $k$ liters of water, each liter placed into a distinct non-root node.

We are given an m × n matrix values where each row represents a shop and each column represents an item in that shop. The important property is that every row is sorted in non-increasing order: When buying from a shop, we are not allowed to choose any arbitrary item.

The problem asks us to find the maximum number of non-overlapping palindrome substrings in a given string s such that each substring has a length of at least k.

This problem asks us to divide a message into multiple parts while respecting a strict maximum length constraint for every part.

The problem asks us to take a 1D array of integers and convert it into a 2D matrix of specified dimensions, rowsCount and colsCount, following a snail traversal order by columns.

This problem asks us to determine the minimum number of insertions needed to transform a given string word into a valid string. A valid string is defined as one that can be formed by concatenating the sequence "abc" one or more times.

We are given a sequence of digits written in base k. Every digit is between 0 and k - 1, and one special digit b is called lucky. For every substring of the digit sequence, we interpret that substring as a base-k number, allowing leading zeroes.

The problem asks us to find the smallest integer strictly greater than n such that the number is numerically balanced. A number is numerically balanced when every digit that appears in the number appears exactly as many times as its value.

The problem asks us to compute the maximum frequency score among all contiguous subarrays of length k from a given integer array nums. A frequency score is defined as the sum of each distinct element raised to the power of its frequency within the subarray, taken modulo 10^9 + 7.

The problem is asking us to determine the minimum number of operations required to make all elements of an array equal, given a very specific operation. The operation allows choosing a prefix of the array, selecting any integer k, and adding k to every element in that prefix.

We are given a lowercase string and must choose some characters, in order, to form a subsequence that is both a palindrome and lexicographically as large as possible. A subsequence does not need to stay contiguous.

The problem asks us to count how many substrings of length exactly three contain only distinct characters. A substring is a continuous portion of the string, so for every position in the string, we can examine the next three consecutive characters and determine whether all…

We are asked to fill an $n times m$ grid with positive integers not exceeding $10^8$. The constraint is not about individual cells but about structure: for every row and every column, if we square all numbers in that line and sum them, the result must itself be a perfect square.

The problem requires simulating a repetitive transformation on a string word where, at each second, the first k characters are removed, and then any k characters are appended to the end.

We need to count how many integer-sided right triangles exist such that all three sides are at most n. A right triangle with sides (a, b, c) satisfies the Pythagorean equation: $a^2+b^2=c^2$$a$$b$$c = sqrt{a^2 + b^2} approx 21.21$$a^2 + b^2 = c^2 approx 225.00 + 225.00 = 450.

We need to construct a convex polygon with exactly n vertices such that every interior angle is equal, but every side length is different. A polygon where all angles are equal is called equiangular. For a convex equiangular polygon, the direction of each edge is fixed.

The city is represented by a grid. Every cell is either a building, a street tile with a traversal cost from 1 to 9, or a junction labeled by a lowercase letter. Movement rules are unusual.

The problem gives us two arrays, present and future, where each index represents a stock. The value present[i] is the price of buying the i-th stock today, while future[i] is the price at which the same stock can be sold one year later.

The problem gives us two positive integers, a and b, and asks us to count how many integers divide both numbers evenly. A number x is considered a common factor if: - a % x == 0 - b % x == 0 This means x divides both integers without leaving a remainder.

The problem gives us an array nums and an integer target. We must find a subsequence whose elements add up exactly to target, while maximizing the number of elements included in that subsequence.

The problem asks us to determine the maximum possible minimum power that any city can have after optimally adding k new power stations to an existing configuration.

We have several mugs that already contain different amounts of Ber-Cola. There is also some drink left in the bottle. We must pour the entire remaining amount into the mugs so that every mug ends up with exactly the same volume. If the initial amounts are a1, a2, ...

The problem requires designing a movie rental system for multiple shops, where each shop carries at most one copy of each movie.

We are given two positive integers, n and target. We need to construct an array of exactly n distinct positive integers such that no two different elements add up to target. Among all arrays satisfying these conditions, we want the one with the smallest possible sum.

We are given two arrays of the same length: - words[i] is a string. - groups[i] is either 0 or 1. We want to select a subsequence of words. A subsequence preserves the original order of elements, but we may skip any number of elements.

We are given an integer array nums, and we must count how many subsequences of length 5 satisfy a very specific condition: - The subsequence must have exactly 5 elements.

We are asked to count the number of substrings of a string s that can be transformed into an anagram of a given string p. The string s can contain question marks ?, which can be replaced by any lowercase letter.

We are given a collection of strings words and a target string target. A string is considered valid if it is a prefix of at least one word in words. This means that for every word, all of its prefixes are available for use.

This problem asks us to simulate how people pass through a single door over time while following a specific priority policy. Every person arrives at a certain second and wants to either enter or exit.

The problem describes a simulation of a robot moving on a rectangular grid defined by width x height. The robot starts at the bottom-left corner (0, 0) facing East and moves in discrete steps.

This problem asks us to create a memoized version of a function. Memoization is a technique where you store the results of expensive function calls and return the cached result when the same inputs occur again.

This problem gives us a finite array nums, but asks us to imagine an infinite array called infinitenums created by repeating nums forever. For example: We must find the shortest contiguous subarray in this infinite sequence whose sum is exactly equal to target.

This problem asks us to compute the total cost of all possible three-topping pizza combinations using a list of available toppings from a database table. Each topping has a name and a cost, and toppings are unique.

The problem asks us to count the number of index pairs (i, j) such that i < j and the sum of elements at these indices in nums1 is greater than the sum of elements at the same indices in nums2.

The problem asks us to find the top 3 trending hashtags from a table of tweets for a specific month, February 2024. Each tweet contains exactly one hashtag. The input is represented by a Tweets table with columns userid, tweetid, tweet, and tweetdate.

The problem gives us a database table named Tweets, where each row represents a tweet posted during February 2024. Every tweet contains plain text in the tweet column, and that text may contain one or more hashtags.

We are given an undirected tree with n nodes labeled from 0 to n - 1. The tree is rooted at node 0, which means every node except the root has exactly one parent, and each node may have zero or more children. The task is to count how many nodes are considered "good".

We are given a list of travel times from the town Rozdil to each of n other towns. Each town has a positive integer time, and the towns are numbered from 1 to n. The goal is to find which town has the smallest travel time.

The problem provides two relational tables, one named Employees and another named Salaries, both keyed by employeeid. Each employee may or may not appear in both tables. The Employees table contains the employee’s name, while the Salaries table contains the employee’s salary.

The problem presents a sequence of n cities numbered from 0 to n - 1 with an initial chain of unidirectional roads such that city i is connected to city i + 1 for all valid i. You are given a list of queries where each query adds a new road from city ui to city vi.

This problem is implemented in JavaScript on LeetCode, but you requested Python and Go reference solutions. Since the original stub uses JavaScript-style nested arrays with mixed integer/array values, I will model the structure idiomatically in Python and Go while keeping the…

This problem asks us to answer multiple independent queries on a binary tree. For each query, we temporarily remove an entire subtree rooted at a specific node, then compute the height of the remaining tree.

The problem asks us to count how many contiguous subarrays of nums match a given relationship pattern. Instead of comparing exact values, the pattern describes how adjacent numbers should relate to each other.

We are given a rectangular grid of integers. Inside this grid, we may place any odd-sized square, for example a 3×3, 5×5, or 7×7 subgrid. Inside that square we draw the standard spiral that starts at the top-left corner and winds inward. The spiral does not visit every cell.

The problem asks us to count how many substrings of a given string s contain at least one character that appears at least k times within that substring. A substring is a contiguous portion of the string.

The problem is asking us to compute the total number of distinct sequences of dice rolls of length n that satisfy two constraints: the greatest common divisor (GCD) of any two consecutive rolls must be 1, and any repeated value in the sequence must be separated by at least two…

The problem asks us to compute a special value called the x-sum for every contiguous subarray of length k. For each window of size k, we first count how many times each number appears. After that, we only keep the contributions of the top x most frequent distinct values.

This will be very large if done comprehensively and correctly under your formatting rules, likely exceeding a practical single-message limit and risking truncation or reduced quality.

The problem is asking us to optimally pair students with mentors such that the sum of their compatibility scores is maximized. Each student and each mentor has answered n yes/no questions represented by 0s and 1s.

The problem presents an integer array nums and a positive integer k. You can perform a bitwise operation on any two distinct elements of the array any number of times.

This problem asks us to design a very simple banking system that supports three operations: 1. Transfer money between two accounts 2. Deposit money into an account 3. Withdraw money from an account The bank contains n accounts numbered from 1 to n.

The problem asks us to compute the greatest common divisor (GCD) of two specific values derived from the input array nums: the smallest element in the array and the largest element in the array.

We have two sets of bicycle gears. The front gears are attached to the pedals, and the rear gears are attached to the back wheel. If the chain connects front gear a[i] to rear gear b[j], the resulting gear ratio is b[j] / a[i].

The problem presents a rooted tree where each node is uniquely identified by an integer from 0 to n-1. This integer also represents the genetic value of the node.

This problem asks us to find the airport(s) with the most traffic using a table of flights. Each row of the Flights table represents a direct connection from departureairport to arrivalairport along with the number of flights flightscount for that route.

The problem gives us a robot located on a two dimensional grid. The robot starts at startPos = [startrow, startcol] and wants to reach homePos = [homerow, homecol]. The robot can move one cell at a time in four directions: up, down, left, and right.

The problem asks us to evaluate every contiguous subarray of length k in the given array nums. For each subarray, we must determine whether it satisfies two conditions simultaneously: 1. The elements are sorted in strictly ascending order. 2.

The problem gives us three types of fixed two-character strings: - "AA" appears x times - "BB" appears y times - "AB" appears z times We may choose any subset of these strings and concatenate them in any order.

The problem asks us to figure out how many dragons get affected by a princess who has a unique way of defending herself. She targets every k-th, l-th, m-th, and n-th dragon with different actions. The total number of dragons is d.

The problem presents a two-dimensional matrix grid of size m x n with integer values in the range 0 to 9. The task is to transform this matrix using the minimum number of operations, where each operation allows you to change the value of any cell to any non-negative integer.

The problem presents a binary tree where leaf nodes represent boolean values 0 (false) or 1 (true), and internal nodes represent boolean operations OR, AND, XOR, and NOT, encoded as integers 2, 3, 4, and 5. You are also given a target boolean result.

The problem asks us to transform an array of tower heights into a mountain-shaped arrangement while removing as few bricks as necessary.

The problem gives us a list of inclusive intervals, where each interval is represented as [left, right]. We must divide all intervals into groups such that no two intervals inside the same group intersect. The important detail is that the intervals are inclusive.

The problem is asking us to purchase exactly two chocolates from a store given their individual prices, while ensuring that after buying them we do not end up in debt.

We are given a collection of distinct points on a 2D plane. Each point is represented as (x, y). An increasing path is a sequence of points where both coordinates strictly increase from one point to the next.