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The problem gives us an integer array nums, along with two integers, k and numOperations. We are allowed to perform exactly numOperations operations. In each operation: - We must choose an index that has not been used before.

The problem asks us to manipulate an array of integers, nums, so that its prefix sums are never negative. A prefix sum at index i is simply the sum of all elements from the start of the array up to i.

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.

The problem presents a collection of binary strings of a fixed length, but rather than giving the strings explicitly, each string is described compactly: the first $fi$ bits are the same, $si$, and the remaining $n-fi$ bits are the opposite of $si$.

We are given a rooted tree with n nodes, each node labeled with a 0 or 1. We are also given a target configuration of 0s and 1s for each node. The only operation allowed is to "pick" a node, which flips its value and every second-level descendant down the tree.

We need to construct an array of groom fortunes so that the princess reacts in exactly the required way. For every groom after the first one, two special situations are possible. If the current fortune is larger than every previous fortune, the princess says Oh....

This problem asks us to implement a utility function called debounce. The function receives two inputs: - A function fn - A delay value t in milliseconds The goal is to return a new function, called the debounced version of fn.

This problem asks us to count servers that did not receive any requests within a certain time window for multiple queries. You are given n servers, each with a unique ID from 1 to n.

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 asks us to count how many binary strings satisfy a very specific structural rule. We are given four integers: - minLength, the minimum allowed length of a valid string - maxLength, the maximum allowed length of a valid string - oneGroup, the required divisibility…

The problem defines a special type of array called a "good" array. A good array must be a permutation of: This means the array must contain: - Every integer from 1 to n - 1 exactly once - The integer n exactly twice - No other numbers - Total length equal to n + 1 The input is…

In this problem, we are given an array nums and two integers x and y, where x y. During each operation, we choose one index i and apply two different decrements: - nums[i] decreases by x - every other element decreases by y The goal is to determine the minimum number of…

This problem introduces a generalized version of the bitwise OR operation called the K-or. In a normal bitwise OR, a bit in the result becomes 1 if at least one number has that bit set. The K-or operation changes this rule.

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 determine the maximum number of operations that can be performed on an array of integers, where every operation removes two elements from specific positions (either the first two elements, the last two elements, or the first and last elements), and…

The problem gives us two integers, num1 and num2. In one operation, we may choose any integer i between 0 and 60, inclusive, and subtract the value 2^i + num2 from num1. The goal is to determine the minimum number of operations required to make num1 become exactly 0.

We are given a linear congruential generator, a classic pseudorandom sequence formula: $$ri = (a cdot r{i-1} + b) bmod m$$ The sequence starts from r0, and every next value is computed from the previous one.

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 an n×n grid representing a city built from unit cubes stacked in towers. Each cell of the grid contains an integer indicating the height of the tower at that location.

The problem gives us a mathematical expression string s containing only: - Single digit numbers 0-9 - Addition operators + - Multiplication operators The expression is guaranteed to be valid.

The problem is asking us to compute a new matrix answer based on a given m x n grid, where each cell in answer represents the absolute difference between the number of distinct elements on the diagonal above and to the left of the current cell, and the number of distinct…

The problem gives us an array called questions, where each element contains two integers: - questions[i][0] represents the number of points earned if we solve question i - questions[i][1] represents how many subsequent questions must be skipped after solving question i We must…

The problem gives us an integer array nums, where some elements may already be zero and others are positive integers. We must choose a starting index curr such that nums[curr] == 0, and also choose an initial movement direction, either left or right.

We have a directed graph of cities and roads. City 1 is the capital. Every road is either already usable or broken. A broken road may be repaired, after which it behaves like a normal directed edge. The government wants every city to become reachable from the capital.

The problem gives us an integer array nums, and we may perform a special operation any number of times. In one operation, we choose an index i and any non-negative integer x, then replace: Our goal is to maximize the bitwise XOR of all elements in the array after performing as…

We are given the title words of Lesha's new problem and several archive problems from Torcoder. The words in Lesha's title are all distinct. An archive title may repeat words.

The previous solution fails immediately under a counterexample check. The proposed path was the union of the segments from to the midpoints of and . If the side length is , then the detector radius is The distance from to that path is , while Hence is not detected at all.

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].

The problem gives us an integer array nums that contains either positive integers or the value -1. We process the array from left to right while maintaining two conceptual arrays: - seen, which stores previously encountered positive integers - ans, which stores the answers for…

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.

In this problem, every character in the game has two attributes: - attack - defense The input is a 2D array called properties, where: represents the stats of the i-th character.

This problem describes a painting scenario represented as a one-dimensional number line. Each element in the input array paint[i] = [starti, endi] represents the section that needs to be painted on the ith day.

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.

We are working on an enormous infinite grid of unit square cells, and we can think of each cell as a “bed” in a potato field. We start in the center cell and walk according to a sequence of axis-aligned moves.

We are given an array of positive integers and a set of "bad" prime numbers. Every other prime not in the bad set is implicitly "good." Each number in the array contributes to a total "beauty" score determined by its prime factorization.

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.

The problem presents a 0-indexed array nums of integers and a positive integer x. You start at the first element, nums[0], and can move to any subsequent position j where j i. For each element you visit, you accumulate its value as part of your score.

This problem asks us to simulate a task scheduling system with two priority rules. We are given a list of servers and a list of tasks. Each server has a weight, and each task has a processing duration. At second j, task j becomes available and enters a queue.

The problem asks us to take a four-digit integer num and split its digits into two new integers such that the sum of these two integers is minimized. We are allowed to use all digits exactly once, and the new integers can have leading zeros.

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 determine whether two strings s1 and s2 of equal length can be made identical using a specific type of swap operation.

This problem asks us to repeatedly modify an array according to a very specific rule. We are given: - An integer array nums - An integer k, representing how many operations to perform - An integer multiplier For each of the k operations, we must find the smallest value…

This problem asks us to determine how long we can safely wait before starting to move from the top-left corner of a grid to the bottom-right corner while a fire spreads across the grid over time.

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.

That is a very large, detailed reference document with multiple long sections, full walkthroughs, two language implementations, worked examples, test suites, and edge case analysis for LeetCode 2737.

We have a matrix of integers and three kinds of operations applied to it repeatedly. One operation swaps two rows. Another swaps two columns. The third asks for the value currently visible at a specific row and column.

This problem asks us to determine the minimum cost to make all elements in an array equal. You are allowed two types of operations: increment a single element at a cost of cost1, or increment any two distinct elements simultaneously at a cost of cost2.

The problem gives us two starting values, initialEnergy and initialExperience, which represent the player's stats before entering a sequence of competitions. We are also given two arrays, energy and experience, where each index corresponds to an opponent.

We have an undirected graph representing intersections and roads inside the park. Some intersections contain volunteers. PMP starts at intersection s, and the bus station is at intersection t. PMP has weak memory.

This problem asks us to find the k-th lucky number, where a lucky number is defined as an integer consisting only of the digits 4 and 7. For example, the sequence of lucky numbers in increasing order starts as 4, 7, 44, 47, 74, 77, 444, and so on.

Petr has a book with n pages. Starting from Monday, he reads a fixed number of pages each day of the week. The input gives those seven daily reading capacities in order from Monday to Sunday. We need to determine on which day Petr finishes the book.

We need to construct the lexicographically smallest lucky number consisting only of digits 4 and 7 such that four substring counts match given values.

We are given an n × m grid where some cells are painted with and the others are empty .. The picture is supposed to come from painting exactly two rectangular frames. A frame is not a filled rectangle. Only the border cells of the rectangle are painted.

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.

That is a long-form reference document with multiple substantial sections, complete Python and Go implementations, detailed walkthroughs, and worked examples. To keep formatting quality high and avoid truncation, I will provide it in a structured document format.

The problem gives us a list of items, where each item has two properties: - price - beauty Each entry looks like: We are also given a list of queries.

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 asks us to find the minimum cost to travel from city 0 to city n-1 within a given time limit, maxTime, where the cost is defined by passing fees associated with each city visited. The country has n cities connected by bi-directional roads with varying travel times.

The problem provides a Pandas DataFrame named employees with two columns: | Column | Type | | --- | --- | | name | object | | salary | int | Each row represents one employee and their current salary.

The problem gives us a sequence of keyboard button press events. Each event is represented as: Here: - index is the identifier of the button that was pressed. - time is the moment when the press happened.

The problem describes a two-player game between Alice and Bob played on a string s. Alice always moves first. The rules for each player are based on vowel counts in substrings: Alice can remove any non-empty substring containing an odd number of vowels, while Bob can remove…

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.

We are given an integer array nums, and we must find three indices (i, j, k) such that: - i < j < k - nums[i] < nums[j] < nums[k] Among all valid increasing triplets, we want to maximize the expression: The task is not to maximize the sum of the triplet.

The problem gives us two inputs: - An array of strings called words - A string called pref We must count how many strings inside words start with the string pref. A prefix means the beginning portion of a string.

The problem asks us to determine the kth smallest amount that can be formed using coins of given denominations under a strict limitation: we can only use a single type of coin at a time. In other words, combinations of different denominations are not allowed.

We are maintaining a mutable array of integers where two types of operations are performed repeatedly: range sum queries and range updates where every element in a subarray is XORed with a fixed value.

The problem asks us to compute the maximum possible alternating sum of any subsequence of the given array. An alternating sum is calculated after the chosen subsequence is reindexed starting from index 0.

The problem asks us to rearrange a distinct integer array so that no element is equal to the average of its neighbors. The input is a zero-indexed array nums of length at least 3, and all elements are guaranteed to be distinct.

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.

The problem gives us a database table named Store. Each row in the table represents a single bill issued to a customer.

We are given two strings representing the genomes of two dwarves. The goal is to determine whether these two genomes could belong to the same race under a very specific definition: the first genome can be transformed into the second genome by swapping exactly two characters in…

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.

In this problem, we are given two arrays, nums1 and nums2, each containing every integer from 0 to n - 1 exactly once. In other words, both arrays are permutations of the same set of values.

The problem describes a one dimensional road containing cars positioned from left to right. Every car has one of three possible states: - 'L', meaning the car moves left - 'R', meaning the car moves right - 'S', meaning the car stays stationary All moving cars travel at the…

We have a line of people waiting at a bus stop, but they are organized into groups. Each group has a fixed number of people and stands consecutively in the queue. A bus comes that can carry at most m people, and the people enter in the order of their groups.

We are given a long strip of vertical planks, each with a fixed height. For any contiguous segment of planks of fixed length $k$, Vasya paints a rectangle whose height is determined by the shortest plank inside that segment.

We are asked to construct three permutations $a$, $b$, and $c$ of length $n$ such that for every index $i$ the sum of $a[i]$ and $b[i]$ modulo $n$ equals $c[i]$ modulo $n$.

We have a line of soldiers, each with a height. The general only cares about two positions in the lineup. The tallest soldier must stand at the very front, and the shortest soldier must stand at the very end. The order of everyone else is irrelevant.

This problem gives us a 0-indexed array nums containing non-negative integers. We must perform a sequence of operations on adjacent elements, then rearrange the resulting array by moving all zeros to the end. The first phase consists of processing the array from left to right.

The problem requires calculating the number of distinct averages generated from a sequence of numbers using a specific process. The input is an integer array nums of even length.

The problem asks us to simulate a game in which n children, numbered from 0 to n - 1, stand in a straight line. Child 0 starts with a ball, and every second the child holding the ball passes it to the next child in the current direction.

This problem asks whether it is possible to rearrange k contiguous equal-length substrings of a string s to form another string t, given that s and t are anagrams.

The problem asks us to determine the maximum possible sum when picking exactly k items from a bag containing items labeled 1, 0, or -1.

In this problem, we are given an array of strings called sentences. Each string represents a sentence composed of lowercase English words separated by exactly one space. The problem asks us to determine the maximum number of words that appear in any single sentence.

We are given two arrays: - nums, where nums[i] represents the initial value associated with index i + 1 - changeIndices, where at second s, we are allowed to perform a special operation on index changeIndices[s] Every index in nums starts as unmarked.

The problem asks us to find the smallest rectangle that covers all the 1's in a given 2D binary grid. The grid consists of rows and columns where each cell is either 0 or 1.

The problem requires us to determine how many strings in targetWords can be formed from strings in startWords through a specific transformation.

The problem requires us to partition an array of positive integers nums into two ordered groups such that the sum of elements in each group is at least k. A partition is considered great if this condition is satisfied.

The problem gives us a singly linked list with an even number of nodes. For every node at index i, there is a corresponding twin node at index n - 1 - i, where n is the total number of nodes in the list. We define the twin sum as: - node[i].val + node[n - 1 - i].

The problem gives us a sorted array prizePositions, where each value represents the position of a prize on the X-axis. Multiple prizes may exist at the same position. We are also given an integer k. We may choose exactly two segments on the number line.

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 involves simulating operations on an infinite number line starting at 0 and extending towards the positive x-axis.

We are given two arrays, nums and target, of equal length. In a single operation, we choose two different indices and add 2 to one element while subtracting 2 from another element.

Here is a complete technical solution guide for LeetCode 3015 - Count the Number of Houses at a Certain Distance I, formatted according to your specifications. The problem describes a simple linear city with n houses numbered from 1 to n.

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.

This problem asks us to design a data structure that dynamically maintains a collection of integer intervals and efficiently reports how many distinct integers are covered by at least one interval. Initially, the interval set is empty.

The problem gives us a binary string s, containing only '0' and '1' characters. We are allowed to rearrange the bits in any order we want, but we must use exactly the same bits that appear in the original string.

The problem gives us a complete binary tree where nodes are labeled in the same way as a binary heap. For every node with value x: - Its left child is 2 x - Its right child is 2 x + 1 The tree contains all node values from 1 to 2^n - 1.

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.

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.