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tamnd's digital brain — notes, problems, research
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This problem asks us to design a lightweight in memory database system that supports four core operations on multiple tables: 1. Insert a row into a table 2. Remove a row by id 3. Select a single cell value 4.
The input is a sequence of integers. The first number tells us how many additional integers follow. If the sequence is: then there are four values: 1, 2, 3, 4. The task itself is intentionally disguised by the strange statement.
You are given two arrays, nums1 and nums2, both of the same length n. For every index i, you may optionally swap the pair (nums1[i], nums2[i]). Each swap counts as one operation.
That prompt contains two different LeetCode problems merged together, but the second problem, LeetCode 2461 - Maximum Sum of Distinct Subarrays With Length K, appears to be the target because the detailed sections and code stubs at the end correspond to it.
The problem asks us to identify, from a list of divisors, the integer that has the maximum divisibility score with respect to a given array of numbers. The divisibility score of a divisor is defined as the count of elements in nums that are divisible by that divisor.
We are given a rational number written as a normal fraction p / q, and another number written as a finite continued fraction.
We are given two permutations, one of length n and another of length m (n ≤ m). A permutation is a sequence containing all numbers from 1 to its length exactly once.
This problem gives us a directed graph represented by an array called edges. The graph contains n nodes labeled from 0 to n - 1. Each node has at most one outgoing edge.
The problem asks us to count how many integers within the inclusive range [low, high] satisfy two independent conditions. The first condition is based on the digits of the number. A number is considered beautiful only if it contains an equal number of even digits and odd digits.
The problem gives a circular array nums of length n. At each second, every element in the array can be replaced simultaneously by either itself, its previous neighbor, or its next neighbor.
The problem asks us to determine how many employees in a company have worked at least a minimum number of hours, specified by target. We are given a 0-indexed array hours, where hours[i] represents the total hours worked by employee i.
We are asked to schedule a day of phone calls for Mr. Jackson in a way that maximizes the longest uninterrupted segment of sleep. Each call has a specific start time and duration.
This problem asks us to compute the maximum total distance a truck can travel given fuel stored in two tanks: - mainTank, the truck's primary fuel tank. - additionalTank, a reserve tank that can transfer fuel into the main tank under specific conditions.
We are given a set of points on a 2D Cartesian plane. A point is called supercentral if there exists at least one other point directly to its left, one directly to its right, one directly above it, and one directly below it.
We are given two integers. The first number, a, is arbitrary. The second number, b, is guaranteed to be lucky, meaning every digit of b is either 4 or 7. For any positive integer, its "mask" is formed by taking only the digits 4 and 7 from left to right and concatenating them.
Paw the Spider's web consists of n main threads radiating from the center, dividing the plane into n equal sectors. Each sector may have bridges connecting its bounding main threads. Every bridge has attachment points at the same distance from the center.
The problem gives us an integer array nums and asks for the length of the longest contiguous subarray whose first element is strictly greater than its last element. A subarray is any contiguous segment of the array. For a subarray nums[i...
This problem asks us to maximize the number of indices in an array that can be "marked" using a specific operation. You are given an integer array nums and can repeatedly pick two different unmarked indices i and j such that 2 nums[i] <= nums[j].
Gena has a set of problems, and a group of friends who can each solve some subset of them. If Gena hires a friend, that friend will solve all problems they are capable of solving, covering multiple problems at once.
The problem asks us to count the number of ways to select exactly 3 buildings from a street represented as a binary string s, such that no two consecutive buildings among the selected ones have the same type. Here, 0 represents an office, and 1 represents a restaurant.
This problem gives us a 2D grid where every cell is either empty or blocked by an obstacle. A value of 0 means we can move through the cell freely, while a value of 1 means the cell contains an obstacle that can be removed.
The problem asks us to compute the number of ways to build a wall of given height and width using bricks of specified widths, such that the wall is sturdy.
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.
The problem asks us to design a service that works on a square matrix, where every value in the matrix is unique. For any given value, we must efficiently compute two different types of neighbor sums.
This problem asks us to count how many contiguous subarrays have a median equal to a given value k. The array nums contains every integer from 1 to n exactly once, which means all elements are distinct.
This problem is asking us to take an undirected tree where each node has a numerical value and determine how many edges we can remove such that every resulting connected component has the same total value.
The problem gives us an n x n matrix called lcp, where: - lcp[i][j] represents the length of the longest common prefix between: - the suffix starting at index i - the suffix starting at index j If the unknown string is word, then: - suffix i is word[i:] - suffix j is word[j:]…
Codeforces 424C: Magic Formulas
This problem asks us to determine whether a given string is a pangram. A pangram is a sentence that contains every lowercase English letter, from 'a' through 'z', at least once. The input is a single string named sentence.
We are given a huge implicit grid, up to $10^9 times 10^9$, but only a small subset of cells are usable. Each usable region is given as a horizontal segment: a row number and a contiguous interval of columns.
The problem requires calculating the maximum number of servers that can be upgraded at each data center independently, given the number of servers, upgrade costs, potential revenue from selling servers, and available money.
The problem asks us to find the smallest number that satisfies several constraints relative to a given number num and a target integer t. The input num is a string representing a positive integer, and the number must be zero-free, meaning none of its digits are zero.
The problem gives us a string s containing lowercase English letters, vertical bars '|', and asterisks ''. The key rule is that every two consecutive vertical bars form a pair. Any asterisk located between the two bars of a pair must be ignored when counting.
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).
This problem gives us a sorted integer array nums in non-decreasing order. We may repeatedly remove pairs of elements under one important rule: for a chosen pair (i, j), the values must satisfy nums[i] < nums[j].
This problem asks us to implement a function cancellable that repeatedly calls a given function fn with a set of arguments args at a fixed interval t milliseconds and allows this repeated execution to be stopped by a cancel function cancelFn.
The problem defines a special array called powers. This array is built from the binary representation of n. Every positive integer can be uniquely represented as a sum of powers of two.
The problem gives us a string s, a target string sub, and a list of character replacement rules called mappings. Each mapping [old, new] means that a character old inside sub may be replaced with new.
We are given a directed graph representing a city with junctions and streets. Urpal starts at junction a and wants to reach junction b using buses.
This problem requires us to maximize the number of matchings between players and trainers under the condition that a player's ability cannot exceed the trainer's training capacity. In other words, a player i can only be assigned to trainer j if players[i] <= trainers[j].
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 a lowercase English string s and a positive integer k. We must count how many non-empty substrings satisfy the definition of a beautiful substring.
We are asked to determine whether a given company name is symmetric with respect to a vertical mirror. In practical terms, we are given a single string consisting of uppercase English letters, and we need to check whether the string would appear identical if reflected in a…
We are given an array containing only 1 and -1. For every query [l, r], we look at the subarray from index l to r.
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.
In this problem, we need to count how many binary arrays can be formed using exactly zero copies of 0 and exactly one copies of 1, while satisfying an additional stability condition.
We have a linear arrangement of h cells, numbered from 1 to h. Some of these cells contain treasures, each with a positive dollar value.
We are given a tree with n junctions and n - 1 roads. Every road has an integer beauty value. We must choose two junctions so that the path between them contains between l and r edges inclusive.
We are given an array prices, where each value represents the price of a chocolate. For every query [k, m], Bob wants to choose exactly m chocolates. The payment rule depends on the threshold k: - If a chocolate costs at most k, Bob pays the entire price.
This problem asks whether it is possible to reach a specific target cell (fx, fy) from a starting cell (sx, sy) in an infinite 2D grid in exactly t seconds. Each second, movement must occur to one of the eight adjacent cells, including diagonals.
The problem asks us to count unique palindromic subsequences of length 3 in a given string s. A palindromic string reads the same forwards and backwards, and in this case, we only care about strings of exactly three characters.
The problem asks us to design a graph data structure that supports two operations efficiently: 1. Dynamically adding directed weighted edges. 2. Finding the shortest path cost between two nodes. We are given a directed weighted graph with n nodes labeled from 0 to n - 1.
The problem asks us to distribute a set of cookie bags among k children such that the unfairness of the distribution is minimized. Here, unfairness is defined as the maximum total number of cookies any single child receives.
We are given the final state of a row of boxes after a very specific operation was applied exactly once in reverse history. Originally, each box contained some number of balls.
The problem asks us to count all substrings of a given string s such that at least one character in the substring appears at least k times. In simpler terms, for every substring we consider, we check whether there is any character that has frequency greater than or equal to k.
This problem gives us two arrays of strings, words1 and words2. Our task is to count how many strings appear exactly once in both arrays. The key detail is that a word only qualifies if: 1. It appears exactly one time in words1 2.
The problem is asking for the maximum integer value that can be created by concatenating the binary representations of all elements in a list of three integers. Each number should be converted to its binary representation without leading zeros.
The problem presents an interactive scenario where there is a hidden number n in the range [1, 2^30 - 1]. We are provided with an API commonSetBits(num) which returns the count of bits that are set in both n and num when performing a bitwise AND.
We are given a rooted tree with n nodes. Node 0 is the root, and the parent-child relationships are described by the parent array. Each node i also has an associated character s[i]. For any node x, a DFS traversal is defined as follows: 1.
The problem is asking us to find the maximum distance between two houses that have different colors. You are given a 0-indexed list colors where each element represents the color of a house.
We are given a sequence of events happening in time order in a city. Each event is either the arrival of one or more new police recruits, or the occurrence of a crime. When recruits arrive, they increase the number of available officers.
We are choosing a path from a western village at the origin to a river bank located at a vertical line $x = a$, then crossing the river in a straight line to another point on the eastern bank $x = b$, and finally following a pre-determined path back into the eastern village.
We are given a tree with n vertices, meaning a connected graph with no cycles, and a number k. The task is to count how many pairs of distinct vertices are separated by exactly k edges.
We are asked to compute the minimum cost to paper all walls in an apartment where each room is a rectangular prism. For each room, the length, width, and height are given. The perimeter of a room determines how many strips of wallpaper are needed.
The problem asks us to compute a Premier League-style ranking table from a TeamStats table, which contains each team's matches played, wins, draws, and losses. We are required to calculate three additional columns for each team: points, position, and tier.
The problem is asking us to construct an integer x that satisfies two conditions. First, x must have the same number of set bits (1's in the binary representation) as a given integer num2. Second, the XOR of x with another integer num1 must be minimized.
The problem asks us to find the minimum total time to complete a race of numLaps laps using a collection of tires, where each tire has two parameters: a base lap time fi and a multiplier ri.
The problem is asking us to implement currying for a given function. Currying is a functional programming technique where a function with multiple parameters is transformed into a sequence of functions, each accepting a subset of the original parameters.
This problem is asking us to count all "smooth descent periods" in a stock price array. A smooth descent period is defined as a contiguous sequence of days where the stock price decreases by exactly 1 each day, except the first day which is always counted as a valid period of…
This problem asks us to find the maximum sum of a balanced subsequence from a given integer array nums. A subsequence is a selection of elements from the array in their original order, possibly skipping elements.
The problem gives us two integers, n and t. We must find the smallest integer greater than or equal to n whose digit product is divisible by t. The digit product of a number is obtained by multiplying all of its digits together.
The problem presents a matrix grid of size m x n with distinct positive integers. The goal is to transform this matrix so that every element is replaced with another positive integer while maintaining the relative order in each row and column.
This problem asks us to repeatedly combine the two smallest elements of an array nums until all elements are greater than or equal to a threshold value k. The combination operation is not a simple sum, but a formula: min(x, y) 2 + max(x, y).
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.
The problem asks us to analyze a directed graph where each node has exactly one outgoing edge, represented by the array edges. Each index i represents a node, and edges[i] represents a directed edge from node i to node edges[i].
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.
We are given an array of integers and need to support two types of queries efficiently. The first type requires adding Fibonacci numbers to a contiguous subarray: for indices from l to r, we add F₁ to the element at l, F₂ to the element at l+1, up to F{r-l+1} at position r.
The problem gives us three parallel arrays: - creators[i] represents the creator of the ith video - ids[i] represents the video ID of the ith video - views[i] represents the number of views for the ith video Each index corresponds to one video.
We have trees placed on a number line. Each tree may fall left, fall right, or remain standing. The probabilities for these three outcomes are given independently for every tree. A falling tree destroys mushrooms in a half-open interval determined by the tree position and height.
The problem asks us to determine the minimum number of characters that need to be appended to the end of string s so that string t becomes a subsequence of s. A subsequence is a sequence that appears in the same order as in another string, but not necessarily consecutively.
This problem gives us an array nums and an integer k. We repeatedly perform an operation where we remove the last element of the array and add it to our collection.
This problem gives us an array of strings, words, and allows us to swap any character with any other character across the entire collection of strings. The swaps are completely unrestricted.
The problem requires identifying users who have taken both a "Refinance" loan and a "Mortgage" loan. The input is a table Loans containing loanid, userid, and loantype. Each row represents one loan taken by a user, and loanid is unique.
The problem asks us to select exactly p disjoint pairs from the array nums such that the largest difference among all chosen pairs is as small as possible.
The problem gives us a string called blocks, where each character represents the color of a block. A character 'B' means the block is black, and a character 'W' means the block is white. We are also given an integer k.
Kirito starts with some initial strength and must defeat every dragon on the level. Each dragon has two values: the minimum strength needed to beat it, and the bonus strength Kirito gains afterward.
This problem asks us to calculate the total amount of money spent by Premium and VIP members on Fridays of each week in November 2023.
This problem asks us to repeatedly search for a value inside an integer array and double that value whenever it is found. We begin with the integer original. If that number exists anywhere in the array nums, we multiply it by two and repeat the process using the new value.
We are given a chronologically ordered stream of log entries, where each entry has an exact timestamp down to the second and an associated message describing a program warning.
We are asked to work with an infinite matrix that is filled in a very specific order. Each cell contains a positive integer, starting from 1, and the ordering rule is based on the maximum of the row and column indices.
The problem gives us an m x n rectangular cake and asks us to cut it into individual 1 x 1 pieces. We are allowed to cut along predefined horizontal and vertical lines. Each line has a fixed cost associated with it.
The problem asks us to find the shortest distance from a given starting index in a circular array of strings to a target string.
We are given a directed graph where each node represents a city junction, and each directed edge represents a one-way road. Each junction has a cost to build a police checkpost.
This problem is about simulating the motion of pistons in a car engine and computing the maximum total area under the pistons over time. Each piston moves either up or down by 1 unit every second, reversing direction when it hits the top (height) or bottom (0).
We are given two permutations containing the numbers from 1 to n. The first permutation is the current arrangement, and the second permutation is the target arrangement we want to reach. The allowed operation is unusual.
The problem gives us an array nums, where nums[i] represents the cost of buying a chocolate currently located at index i. Initially, the chocolate at index i is also considered to be of type i. Since there are n positions, there are exactly n chocolate types.
The problem asks us to calculate the arrival time of a train given its scheduled arrivalTime and the amount of delayedTime. Both times are expressed in hours using the 24-hour clock format. The goal is to determine the new arrival time after accounting for the delay.
We are given a text editor that stores several lines of text. Each line has a known length, and the cursor is allowed to sit not only on characters but also in the gap positions before the first character and after the last character.
The problem asks us to find all days that are "good" for robbing a bank based on the number of guards on duty over a period of days.
The problem asks whether it is possible to make all strings in the input array words equal by redistributing characters between them. Specifically, in one operation, you can pick any character from one string and move it to another string at any position.