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tamnd's digital brain — notes, problems, research
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This problem asks us to determine whether a given binary tree satisfies the rules of a Binary Search Tree, commonly abbreviated as BST. A binary tree consists of nodes where each node contains a value and pointers to a left child and a right child.
This problem asks us to control a car moving on an infinite one dimensional number line. The car starts at position 0 with speed +1.
The student is already riding a bus that moves along the x-axis from left to right. The bus stops at fixed positions (xi, 0) in increasing order. At any stop except the first one, the student may get off and run directly to the university located at (xu, yu).
We are asked to find the maximum number of "full lucky numbers" that can appear after adjusting segments of numbers. A lucky number is any positive integer whose digits consist only of 4 and 7. Each segment is a range [li, ri] on the number line.
The elevator follows a completely deterministic cycle. It starts at floor 1 at time 0, climbs one floor per second until it reaches floor m, then immediately reverses direction and goes back down to floor 1, again moving one floor per second.
The problem asks us to count the number of 3 x 3 magic squares inside a larger grid. A magic square is defined as a square where all numbers are distinct integers from 1 to 9 and the sum of each row, column, and the two diagonals is the same.
This problem asks us to generate the shortest possible abbreviation for a given target word such that the abbreviation cannot also represent any word in the dictionary. An abbreviation replaces one or more non-adjacent substrings with their lengths.
The problem asks us to simulate a process of pouring champagne into a pyramid of glasses. Each glass can hold exactly one cup of champagne, and any excess from a glass flows evenly to the two glasses immediately below it.
We are asked to calculate how many numbers from 1 to n are not divisible by any number in a given set of integers, called hit indicators. Each indicator is guaranteed to be coprime with the others, and there are k of them, each at most 1000.
The problem describes a sequential candy distribution process across a row of people. We are given two integers, candies and numpeople. The goal is to simulate distributing candies in increasing order until all candies are exhausted.
The problem gives us a single integer, area, which represents the area of a rectangle. Our task is to find two integers: - L, the length - W, the width such that: 1. L W == area 2. L = W 3.
This problem asks us to identify bank accounts whose monthly income exceeds a predefined limit for at least two consecutive months. We are given two tables: The Accounts table stores the maximum allowed monthly income for each account.
This problem asks us to determine whether a given string is a palindrome after applying two transformations: 1. Convert all uppercase letters to lowercase. 2. Remove all non-alphanumeric characters. An alphanumeric character is any English letter (a-z, A-Z) or digit (0-9).
The problem gives us three positive integers, a, b, and c. We are allowed to flip individual bits in either a or b. A flip means changing a bit from 0 to 1 or from 1 to 0. Our goal is to perform the minimum number of bit flips so that: The OR operation works bit by bit.
The problem asks us to implement a URL shortening service, similar to TinyURL. Given a long URL, our system should generate a short, unique URL that maps back to the original URL. When the short URL is accessed, the system should return the original long URL.
The problem asks us to sort a singly linked list using the insertion sort algorithm. Unlike array sorting problems where elements can be accessed directly by index, linked lists require sequential traversal, so insertion operations behave differently and require careful…
The problem asks us to perform a level order traversal of a binary tree, but with a twist. Instead of always traversing each level from left to right, we alternate the traversal direction at every level.
The problem gives us a string s and a target character c. For every index in the string, we must compute the distance to the nearest occurrence of c. The distance between two indices is defined as: where i is the current index and j is the index of some occurrence of c.
The problem asks us to find the length of the shortest reference string that can encode a list of words. A reference string is formed by concatenating some of the words with a '' character at the end of each word.
The problem models a circular dial, represented by the string ring, where each character is engraved at a position around the circle. Another string, key, represents the sequence of characters we must spell.
We are given a rectangular picture represented as an A × B grid of letters. The task is to determine how many ways we can cut this picture into smaller rectangular pieces such that each piece is unique up to rotations, and to identify the smallest possible piece size among…
The problem asks us to determine whether a given string s can be formed by substituting each character in a pattern with a non-empty string, under a bijective mapping.
The problem asks us to determine if two strings of equal length, s1 and s2, can be made identical by performing at most one string swap on exactly one of the strings. A string swap allows exchanging any two characters at different or same indices.
The problem asks us to replace every number in the input array with its rank when the array is sorted in ascending order.
This problem provides two database tables, Candidate and Vote, and asks us to determine which candidate won the election. The Candidate table stores information about each candidate. Every candidate has a unique integer id and a corresponding name.
Sure, let's build a full, detailed technical solution guide for LeetCode 1256 following your requested structure. The problem asks us to take a non-negative integer num and encode it as a string using a secret encoding rule.
The problem asks us to find the longest contiguous subarray that appears in both input arrays. A subarray is different from a subsequence because the elements must remain adjacent.
The problem asks us to design a data structure called RandomizedCollection that behaves like a multiset. Unlike a normal set, duplicate values are allowed.
We are given a small group of people and a list of pairs who cannot work together. We need to choose the largest possible subset such that every pair inside the chosen group is compatible. This is naturally a graph problem. Think of each volunteer as a vertex.
This problem asks us to find the length of the longest contiguous subarray that can contain only 1s after flipping at most k zeroes into ones.
We need to construct an array of n positive integers. The array must satisfy two conditions at the same time. The sum of squares of all elements must be at least x, while the ordinary sum of the elements must not exceed y. The task is not to optimize anything.
This problem gives us the root of a Binary Search Tree (BST) and an integer k. We must determine whether there are two distinct nodes in the tree whose values add up to k.
The task is to reverse a number given as a string, taking care of signs and leading zeros. The input can be a very large integer, up to 10,000 digits, possibly with leading zeros.
The problem presents a scenario where you are buying items in a shop, each with a given price stored in an array prices.
The problem gives us n identical dice, where each die has faces numbered from 1 to k. We roll all n dice and want to count how many different sequences of rolls produce a total sum equal to target. The important detail is that order matters.
The problem asks whether it is possible to reorder an even-length array arr of integers such that every element can be paired with another element that is exactly double its value.
This problem asks us to transform a given sentence into a fictional language called Goat Latin, following a specific set of string manipulation rules. The input is a string called sentence, where words are separated by a single space.
The problem gives us two strings, start and result, both consisting only of the characters 'L', 'R', and 'X'. We are allowed to transform the start string using only two kinds of moves: - Replace "XL" with "LX" - Replace "RX" with "XR" The goal is to determine whether it is…
The problem asks us to determine how many items in a list satisfy a given rule. Each item is represented as a list of three strings: its type, color, and name. The rule is given as two strings: ruleKey and ruleValue.
The problem asks us to find the minimum number of moves required to reach a specific position on an infinite number line starting from position 0. Each move i allows you to move exactly i steps, either to the left or the right.
The problem asks us to count the number of good triplets in an integer array arr based on three difference constraints a, b, and c.
The problem gives an array nums containing n distinct integers. Every number is supposed to come from the range [0, n], which means there are actually n + 1 possible values in total. Since the array only contains n numbers, exactly one value from that range is missing.
This problem asks us to construct heights for n buildings arranged in a straight line while satisfying several constraints. Each building has a non-negative integer height. Building 1 must always have height 0.
The problem gives us an array of strings, wordsDict, and two target words, word1 and word2. We must find the minimum distance between any occurrence of these two words in the array.
The problem describes a two-player game involving a single heap of stones. There are n stones initially on the table, and players alternate turns removing stones. On each turn, a player may remove either 1, 2, or 3 stones. The player who removes the final stone wins the game.
We are given the positions of two chess pieces on a standard 8 × 8 board, one rook and one knight. Their starting positions are guaranteed to be safe, meaning the rook does not attack the knight and the knight does not attack the rook.
Here is the complete, detailed technical solution guide for LeetCode 1044 - Longest Duplicate Substring, following your formatting rules exactly. The problem asks us to find the longest duplicated substring in a given string s.
This problem asks us to determine whether a given array of integers is monotonic. An array is considered monotonic if it is entirely non-decreasing (monotone increasing) or entirely non-increasing (monotone decreasing).
The problem models a recursive elimination game played on a row of colored balls. The board is represented as a string where each character corresponds to a colored ball. The available colors are 'R', 'Y', 'B', 'G', and 'W'.
This problem asks us to find the length of the longest consecutive sequence path in a binary tree. Unlike the simpler version of the problem where the sequence must move strictly downward from parent to child, this version allows the path to move in a child-parent-child…
The problem models the Android lock screen as a 3 x 3 grid containing digits 1 through 9. A valid unlock pattern is a sequence of distinct dots that follows a special movement rule. The first rule is straightforward: each dot can only be used once in a pattern.
We are given three musical notes, and the task is to classify the chord they form as either major, minor, or "strange". Notes are represented in the twelve-tone chromatic scale: C, C, D, D, E, F, F, G, G, A, B, H, and the scale is cyclic, so after H comes C again.
Each quarry contributes a consecutive range of heap sizes to a standard Nim game.
The boss starts with max health and regenerates reg health every second. We own several scrolls. Each scroll can only be activated when the boss health is at most some percentage of the original health.
We have n + 1 cities. The first n cities lie on the x-axis at positions (x1, 0), (x2, 0), ..., (xn, 0). One additional city is somewhere off the axis at (x_{n+1}, y_{n+1}).
This problem models a computer network as an undirected graph. Each computer is a node, and each ethernet cable is an ed
This problem asks us to generate random points uniformly inside a circle. The circle is defined by its radius and the coordinates of its center. Every call to randPoint() must return a point [x, y] such that the point lies either inside the circle or exactly on its boundary.
In this problem, we are given two arrays, nums1 and nums2, both of length n. For every index i, we must choose exactly o
This problem gives us a binary matrix where each cell contains either '0' or '1'. A '1' represents a black pixel, while a '0' represents a white pixel.
The problem asks us to find the rectangular submatrix whose sum is as large as possible while still being less than or equal to a given integer k. A rectangle in a matrix is any contiguous block of cells formed by choosing a range of rows and a range of columns.
The problem asks us to count how many attendance records of length n satisfy two award eligibility rules. Each attendance record is a string made up of three possible characters: - 'P' means the student was present. - 'A' means the student was absent.
The problem asks us to repeatedly remove all leaf nodes from a binary tree and record the values removed during each round. A leaf node is a node with no left or right child.
The problem asks us to compute the complement of a positive integer by flipping every bit in its binary representation. A binary complement means changing every 1 bit into 0, and every 0 bit into 1. For example, the integer 5 is represented in binary as 101.
This problem asks us to compute the minimum number of moves a knight needs to travel from the origin [0, 0] to a target position [x, y] on an infinite chessboard.
We are given several lines of text. Every line may contain letters, digits, and spaces inside the line, but never at the beginning or end. The task is to print all lines inside a rectangular frame made of * characters.
The problem asks us to navigate a m x n integer matrix grid from the top-left corner (0, 0) to the bottom-right corner (
The problem gives us a two dimensional grid where each cell contains an integer representing a color. We are also given a starting position, (row, col), and a new color value. The cell at grid[row][col] belongs to some connected component.
The problem asks us to construct the string target using the fewest possible subsequences of the string source. A subsequence preserves relative order, but characters do not need to be contiguous.
The problem gives us a wall made of multiple rows of bricks. Each row is represented as an array of integers, where each integer describes the width of a brick. Every brick has height 1, and all rows together form a rectangle with the same total width.
The problem asks us to transform a given binary matrix mat into a zero matrix, where all elements are 0. Each operation
The problem asks us to design an authentication system that manages tokens with expiration times. Each token is valid for a fixed timeToLive seconds starting from the moment it is generated or renewed.
The problem asks whether it is possible to construct a given target array from an initial array arr of the same length,
We have up to 50 subjects. Each subject has three properties. The interval $[ai, bi]$ describes how many homework exercises this subject may assign. We are free to choose any value inside that interval. The value $ci$ is the subject complexity.
This problem asks us to select exactly three items from a store while satisfying both an index ordering condition and a
This problem asks us to determine how many times a given string word can be repeated consecutively while still appearing
We have a scenario where a cannon at the origin shoots a number of balls with the same initial speed, each at a given angle. The goal is to determine where each ball lands after either hitting a vertical wall or reaching the ground.
We are given a string consisting of 0, 1, and ?. Each character represents a card in a row. During the game, players alternately remove one card until only two cards remain.
The problem asks for the maximum sum of a subarray in a circular array. In simpler terms, we are given a list of integers nums where the end of the list wraps around to the start.
We are asked to construct a graphical progress bar as an array of squares, where each square has a saturation value. The bar has a total of n squares, and the maximum saturation is k.
The problem asks us to generate every unique way to express a number n as a product of integers greater than 1 and less than n. A factor combination is a list of integers whose product equals n. The order inside a combination does not matter.
This problem asks us to calculate the Click-Through Rate, abbreviated as CTR, for every advertisement stored in the Ads
The problem gives us two axis-aligned rectangles, meaning their sides are parallel to the X-axis and Y-axis. Each rectangle is represented as: Where: - (x1, y1) is the bottom-left corner - (x2, y2) is the top-right corner The task is to determine whether these two rectangles…
The problem asks us to count how many contiguous subarrays contain exactly k distinct integers. We are given: - An integer array nums - An integer k A subarray is any continuous portion of the array.
The game records a sequence of rounds. In each round, one player either gains or loses some number of points. At the end, the player with the highest total score should win.
The problem asks us to find the longest special substring that appears at least three times in the given string s. A sub
The problem asks us to count how many contiguous subarrays of a given array have a product strictly smaller than a target value k. A subarray is a continuous portion of the array.
The n-queens puzzle asks us to place n queens on an n x n chessboard so that no two queens can attack each other. In chess, a queen can move horizontally, vertically, and diagonally.
This is an interactive problem where we must identify a hidden six-letter word from a given list of candidate words. We are not allowed to directly inspect the secret word. Instead, we can interact with the provided Master API by calling master.guess(word).
The problem asks us to compute the maximum width among all levels of a binary tree. The important detail is that the width is not simply the number of non-null nodes at a level.
This problem asks us to select as many non-overlapping substrings as possible from a given lowercase string s, while sat
This problem asks us to compare two software version numbers represented as strings. Each version consists of one or more numeric revisions separated by dots (.). For example, "1.2.10" contains three revisions: 1, 2, and 10.
The problem asks us to count how many pairs of substrings, one taken from s and one taken from t, differ by exactly one
The problem requires finding the kth smallest sum obtainable by selecting exactly one element from each row of a matrix mat with sorted rows. Each row is sorted in non-decreasing order, and we must explore combinations of elements across rows to form sums.
We have a directed acyclic graph on vertices 1...n. For every pair i < j, there is exactly one directed edge from i to j. Each pipe has three parameters. It must carry between l and h units of flow inclusive, even if we do not want to use that pipe.
Five people stand in a queue in a fixed order: Sheldon, Leonard, Penny, Rajesh, Howard. Whenever the person at the front buys a cola, that person immediately creates a copy of themselves, and both copies go to the back of the queue. The queue keeps growing forever.
We have a small rectangular grid where each cell is either empty, contains a pig, or contains a wolf. A wolf may eat one pig that is directly adjacent to it in one of the four cardinal directions. Once a pig is eaten, it disappears and cannot be eaten again.
The Stocks table records stock trading activity. Each row represents either a Buy or Sell operation for a specific stock
This problem asks us to efficiently compute the dot product between two sparse vectors. A normal vector is simply an array of numbers. The dot product of two vectors is computed by multiplying corresponding elements and summing the results.
The problem asks us to modify a fixed-length integer array in-place by duplicating each zero and shifting the subsequent elements to the right.
The problem gives us an integer array arr and asks us to compute the average value after removing the smallest 5% and th