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tamnd's digital brain — notes, problems, research
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The problem gives us a binary string s, meaning the string contains only the characters '0' and '1', along with an integer k. A substring is considered valid if it satisfies the k-constraint.
In this problem, we are given a 0-indexed integer array nums, and for every index i, we must compute something called the "average difference".
The problem requires determining how many possible text messages Alice could have sent given a sequence of digit key presses received by Bob. Each digit from '2' to '9' maps to a set of letters on a phone keypad.
The problem asks us to compute the distinct difference array for a given integer array nums. For each index i in the array, we calculate the difference between the number of distinct elements in the prefix nums[0, ...
The problem gives us a string s containing only lowercase English letters. We need to return the first letter whose second occurrence appears earliest in the string. This detail is extremely important.
Codeforces 403E: Two Rooted Trees
This problem describes a queue of n people, each wanting to buy a certain number of tickets. The input is an array tickets where tickets[i] represents how many tickets the i-th person wants.
The problem gives us a range of rented floors in a building, from bottom to top, inclusive. Within this range, some floors are marked as special floors and cannot be counted as regular office floors.
Each person remembers a single number, how many taller people stood before them in the queue. We no longer know either the original order or the actual heights. The task is to reconstruct any valid queue order together with heights that satisfy every person's remembered value.
We are given two lowercase strings. A string d is called a divisor of another string s if s can be formed by concatenating d several times in a row. For example, "ab" divides "ababab" because repeating "ab" three times gives the full string.
We are asked to count the number of distinct circular contours that can be formed on a plane where two black-painted rings are placed. Each ring is defined by two concentric circles, an inner radius and an outer radius.
The problem gives us an undirected weighted graph with n cities and a list of highways. Each highway connects two cities and has an associated toll cost. We must find the maximum possible total toll for a trip that uses exactly k highways. There are two important restrictions: 1.
We are given a collection of segments on a number line. Each segment spans from a left endpoint to a right endpoint, and we must assign each segment one of two colors.
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:]…
The problem asks us to find the shortest subarray within a given array nums such that the bitwise OR of all elements in that subarray is at least k. A subarray is any contiguous sequence of elements in nums.
The problem provides a database table named transactions, where each row represents a transaction with three fields: - transactionid, a unique identifier - amount, the transaction amount - transactiondate, the date on which the transaction occurred For every distinct…
The problem asks us to calculate the maximum score achievable by hopping through an array from the first element to the last. You start at index 0, and at each step, you can jump to any subsequent index j i. When you jump, you accumulate a score of (j - i) nums[j].
This problem asks us to count the number of unique pairs of indices (i, j) in a given integer array nums such that the sum of the two numbers at those indices is strictly less than a given target.
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].
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.
This problem asks us to work with JavaScript promises and asynchronous execution. We are given two promises, promise1 and promise2, and each promise is guaranteed to eventually resolve to a numeric value.
We are given two valid Gregorian calendar dates in the format yyyy:mm:dd. The task is to compute how many days lie between them.
We have n people sitting at a table, each of whom is either always honest or always lies. Honest people always answer truthfully about how many honest people are at the table. Liars can pick any number from 1 to n except the true number.
The problem asks us to calculate the difference between the highest and lowest total scores among students in a class. Each student has three assignment scores, and the total score is simply the sum of these three values.
The problem is asking us to compute the minimum number of days required to defeat all monsters in an array power, where power[i] represents the strength of the i-th monster. You start with zero mana and gain mana daily, with the initial daily gain of 1.
This problem asks us to schedule a collection of tasks into the minimum number of work sessions. Each task has a fixed duration, and every work session has a maximum allowed length, sessionTime. A task cannot be split across multiple sessions.
The problem asks us to take a positive integer num and split its digits into two non-negative integers num1 and num2 such that the sum num1 + num2 is minimized.
We are given a directed acyclic graph. Some vertices are sources, meaning no edge enters them. Some vertices are sinks, meaning no edge leaves them. The number of sources and sinks is guaranteed to be equal.
The problem gives us a numeric string s and asks whether it can be split into at least two non-empty substrings such that their integer values form a strictly descending sequence where every adjacent pair differs by exactly 1.
This problem asks us to implement a custom version of JavaScript’s Function.prototype.call method, called callPolyfill. The purpose is to execute a function with an explicit this context. Normally, in JavaScript, this depends on how a function is called.
The problem gives us an integer array nums, where some positions contain -1. These -1 values represent missing elements that must be replaced. The key restriction is that we are allowed to choose exactly two positive integers, x and y, one time globally for the entire array.
The problem asks us to find the longest subsequence of a string s that can be repeated k times while still being a subsequence of s. A subsequence is derived by deleting zero or more characters from a string without changing the order of the remaining characters.
The problem gives us two database tables, Candidates and Rounds, that together describe interview performance for job candidates. The Candidates table contains one row per candidate.
The problem asks us to design a data structure that continuously processes a stream of integers and determines whether the most recent k integers are all equal to a specific target value.
The problem gives us a 50 x 50 chessboard containing exactly one knight and up to 15 pawns. The knight starts at position (kx, ky), and every pawn is placed at one of the coordinates in positions. Two players, Alice and Bob, alternate turns. Alice moves first.
The problem asks us to determine the minimum number of bit flips required to transform an integer start into another integer goal. A bit flip is defined as changing a single bit in the binary representation of a number from 0 to 1 or from 1 to 0.
The problem asks us to analyze shift overlaps for employees. We are given a table EmployeeShifts with columns employeeid, starttime, and endtime. Each row represents one work shift for an employee.
The problem asks us to determine the minimum number of operations to convert a given n x n grid into a representation of the letter Y, under specific conditions. The grid contains integers 0, 1, or 2.
We are looking for the smallest positive integer that has exactly n digits and is divisible by every one of the numbers 2, 3, 5, and 7 at the same time. In other words, we want the minimal n-digit number that is a multiple of the least common multiple of those four integers.
The problem gives an array of positive integers and asks for the length of the longest contiguous subarray that is considered "nice". A subarray is nice when every pair of distinct elements inside it has a bitwise AND equal to 0.
The problem asks us to find the minimum possible sum of a "mountain triplet" within a given array of integers. A mountain triplet is defined as three indices (i, j, k) such that i < j < k, nums[i] < nums[j], and nums[k] < nums[j].
We are given two strings, s and t, and we are asked to count how many distinct pairs (x, y) exist such that x is a substring of s, y is a subsequence of t, and x and y are equal as strings. The key distinction is in how “distinct” is defined.
The problem presents an array nums of non-negative integers and an integer k. You are allowed to perform at most k operations, where each operation merges two adjacent elements using the bitwise AND operator.
This problem gives us an array of integers representing balls. Balls with the same value are indistinguishable for grouping purposes, and every group must contain balls of only one value. The challenge comes from the balancing constraint.
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 transform an array of integers nums by replacing each element with the sum of its digits. After this transformation, we need to determine the minimum element in the resulting array.
We are given a square matrix of size n×n, where n is guaranteed to be odd. Each cell of the matrix contains a non-negative integer. The task is to sum the "good" elements of this matrix.
In this problem, we are given an array called forts, where each position represents one of three possible states: - 1 means the fort belongs to us. - 0 means there is an enemy fort. - -1 means the position is empty.
We are given a set of rooms connected by doors, where each door has two mood values: one for each direction. Petya can move from room to room, and every move adds to his mood according to the direction-specific value.
After the theft, the barn contains a smaller rectangular box of hay blocks. If the original dimensions were $A times B times C$, then the remaining pile has dimensions $(A-1) times (B-2) times (C-2)$.
The problem gives us a string word and a list of forbidden strings forbidden. A substring is considered valid if none of its internal substrings appear in the forbidden list.
The problem gives a hierarchical file system represented as a list of absolute paths, where each path is an array of folder names from the root to a leaf folder.
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 three inputs: - source, the original string of length n - pattern, a string that is guaranteed to already be a subsequence of source - targetIndices, a sorted list of indices in source that are eligible for removal An operation consists of removing a character…
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 partition a given string s into k contiguous substrings and modify the characters minimally so that each substring becomes a semi-palindrome.
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.
We have a list of chore difficulties. Vasya must receive exactly b chores whose difficulty is at most x, while Petya must receive exactly a chores whose difficulty is strictly greater than x. The value x must be an integer. We need to count how many integers satisfy the split.
The problem requires splitting a given array of positive integers into contiguous subarrays such that the greatest common divisor (GCD) of each subarray is strictly greater than 1. The goal is to minimize the number of subarrays after splitting.
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.
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.
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 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.
We are given an undirected tree with n nodes. Every node has a price value. Since the graph is a tree, there is exactly one simple path between any two nodes. The problem allows us to choose any node as the root of the tree.
We are given a word consisting of distinct lowercase English letters. We are allowed to completely redesign the mapping of letters onto the telephone keypad keys 2 through 9. There are 8 available keys (2 to 9).
The problem asks us to compute the absolute difference between the sum of elements to the left and the sum of elements to the right for each element in a given array nums. In other words, for every index i, we want to know how different the sums on either side of that index are.
We are given a set of containers, each containing some fixed amount of mercury. Over time, two kinds of operations happen. The first operation changes the mercury amount in a single container.
We are asked to take a positive integer and express it as a product of prime numbers, showing each prime the number of times it appears in the factorization. For example, the number 245 can be expressed as 5 multiplied by 7 twice, so the output would be 577.
The problem asks us to repeatedly replace a number n with the sum of its prime factors until it reaches the smallest value it can take.
The problem asks us to process a DataFrame representing customers and remove rows that have duplicate email addresses. Specifically, if multiple rows share the same email value, only the first occurrence should be kept, and all subsequent duplicates should be discarded.
The problem asks us to determine, for each person in a 2D grid of heights, how many other people they can see according to a specific line-of-sight rule.
This problem is essentially asking how many distinct ways we can select questions from multiple types to reach exactly a target score. Each type of question has a fixed number of questions (counti) and a fixed number of points per question (marksi).
The problem gives us a binary matrix grid with m rows and n columns. Every cell contains either 0 or 1. We must construct another matrix called diff, where each position diff[i][j] depends on how many ones and zeros appear in row i and column j.
We have an array of non-negative integers. In one move, we choose an index i with a[i] 0, decrease a[i] by one, and increase some position i + 2t by one. The destination index must have the same parity as i, because the distance moved is always even.
The problem requires calculating the total spending by users on each Friday in November 2023, broken down by week of the month. The input is a Purchases table containing userid, purchasedate, and amountspend.
We have 2n cards laid out in a sequence. Every card has an integer written on it, and each card also has an index from 1 to 2n. The task is to divide all cards into exactly n pairs such that both cards inside every pair contain the same number.
This problem asks us to identify how many numbers in an unsorted array are still guaranteed to be found by a randomized binary-search-like process. The array nums contains unique integers.
That is a long, structured technical guide with multiple required sections and two full implementations. To keep the quality high and follow your formatting rules exactly, I will provide it in a single comprehensive response.
The problem gives us an integer array nums and an integer k. We must perform exactly k operations. During each operation, we choose one element from the array, add its value to our score, remove it from the array, and then insert a new element equal to the chosen value plus one.
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.
This problem asks us to determine whether a given message should be classified as spam. We are given two arrays of strings: - message, which contains the words appearing in the message. - bannedWords, which contains words that are considered banned.
The problem asks us to determine how many valid placements of Alice and Bob exist on a 2D grid of points such that Alice can build a rectangular fence with her position as the upper left corner and Bob’s position as the lower right corner.
This problem asks us to transform a starting integer into a target integer using the minimum number of operations.
Understood. I will provide the complete, detailed reference guide for LeetCode 2702 - Minimum Operations to Make Numbers Non-positive, following your formatting rules exactly. The problem provides a 0-indexed integer array nums and two integers x and y.
The problem provides two arrays, A and B, each a permutation of integers from 1 to n. A permutation means each number from 1 to n appears exactly once in the array.
We are given a chronological log of private messages between users in a social network. Each record contains the sender, the receiver, and the timestamp of the message. Two users become friends if one of them replies to the other's message quickly enough.
The problem describes a two player game played on a numeric string of even length. The string contains digits and possibly some '?' characters. Alice and Bob alternate turns replacing one '?' with a digit from '0' to '9'. Alice moves first. At the end of the game, every '?
We are given two integer arrays, nums1 and nums2, of the same length n, along with an integer diff. We must count how many index pairs (i, j) satisfy both: - i < j - nums1[i] - nums1[j] <= nums2[i] - nums2[j] + diff The goal is to return the total number of valid pairs.
This problem asks us to transform an array so that the bitwise XOR of all elements becomes exactly k, while minimizing the number of operations. An operation consists of selecting any element in the array and flipping exactly one bit in its binary representation.
The problem is asking us to determine whether a given string s can be formed by concatenating the first k elements of an array words, where k is some positive integer less than or equal to the length of words.
The problem asks us to determine how many strings in a given array words are prefixes of a target string s. A prefix of a string is defined as any substring that starts at the first character and continues for any length up to the length of the string itself.
The problem describes a line of n people, numbered sequentially from 1 to n. Initially, person 1 holds a pillow. Every second, the pillow is passed to the adjacent person. The direction of passing changes whenever the pillow reaches either end of the line.
The problem requires identifying the largest "good" integer from a given string of digits. A "good" integer is defined as a substring of length 3 where all digits are identical.
Here is the complete, detailed technical solution guide for LeetCode 2250 - Count Number of Rectangles Containing Each Point in a single, comprehensive response. The problem provides two arrays: rectangles and points.
In this problem, we are given a positive integer n, and we must find the smallest integer greater than or equal to n that is considered "fair". A number is fair when the count of even digits is exactly equal to the count of odd digits.
The problem asks us to determine how many lattice points lie inside at least one of a set of circles on a 2D grid. Each circle is represented by a triplet [xi, yi, ri], where (xi, yi) is the circle's center and ri is its radius.
The problem gives us an array nums representing the positions of marbles on a number line. Multiple marbles may exist at the same position, so nums can contain duplicates. We are also given two arrays, moveFrom and moveTo, which describe a sequence of move operations.
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].
The problem asks us to compute the number of distinct integers in an array after performing a specific operation on each element: reversing its digits and adding it to the array. In other words, for every integer in nums, we generate its reverse and append it.
We are given two integers, n and limit. There are exactly three children, and we want to distribute all n candies among them. If we let the number of candies received by the three children be: then the distribution must satisfy: with the additional restriction: for every child.