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The problem gives us an m x n matrix called points. We must choose exactly one cell from every row. The value of the chosen cell is added to our score. However, there is a movement penalty between consecutive rows.

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.

This problem asks us to simulate the process of entering a cooking time into a microwave while minimizing the total finger movement and button pressing cost. The microwave accepts at most four digits.

The problem asks us to determine the size of a DataFrame named players. Specifically, it requires computing two values: the number of rows and the number of columns.

We are given an n×n grid where each cell contains an integer, which can be positive or negative. Furik starts at the top-left corner (1,1) and moves only right or down, while Rubik starts at the bottom-right corner (n,n) and moves only left or up.

The problem gives us a string s that was formed by concatenating several strings together, where every piece is an anagram of the same unknown string t. Our task is to determine the minimum possible length of t.

The problem gives us an m x n binary matrix where every cell contains either 0 or 1. Our goal is to remove all 1s using the minimum number of operations. An operation can only be performed on a cell (i, j) that currently contains a 1.

We are given a decimal number as a string and another string containing extra digits that we may use for replacements. Every digit from the second string can be used at most once. For each chosen digit, we may replace any single position in the original number.

The problem gives us three integers: - zero, the exact number of 0s that must appear in the array - one, the exact number of 1s that must appear in the array - limit, the maximum allowed length of any consecutive block of identical values We must count how many binary arrays…

The problem asks us to compute the beauty of every contiguous subarray of size k within a given integer array nums. The beauty of a subarray is defined as the xth smallest negative number in that subarray. If a subarray contains fewer than x negative numbers, the beauty is 0.

The problem asks us to compute the maximum factor score of an array of integers, where the factor score is defined as the product of the GCD (greatest common divisor) and LCM (least common multiple) of all elements in the array.

In this problem, we are given a lowercase English string s, and we must split it into one or more contiguous substrings such that every substring is balanced. A substring is considered balanced when every distinct character inside it appears the same number of times.

The problem asks us to find the minimum number of operations required to reduce a given positive integer n to 0, where each operation consists of adding or subtracting a power of two from the current value of n. A power of two is defined as any number of the form where .

This problem asks us to compute the sum of all good subsequences in a given integer array nums. A subsequence is any sequence derived from nums by deleting zero or more elements without changing the order of the remaining elements.

We are given an array nums and two different operations that can reduce the values of elements in the array. The first operation divides a number by 2 and rounds the result upward.

I can do that, but the guide will be very long for a single chat response because your required format includes detailed prose, brute force and optimal approaches, proof sketch, Python and Go implementations, worked traces for every example, complexity analysis, comprehensive…

You are given an integer array nums and must choose three indices (i, j, k) such that: - i < j < k - The triplet value is (nums[i] - nums[j]) nums[k] Among all valid ordered triplets, we want the maximum possible value.

The problem asks us to compute a hashed string from an input string s by dividing it into equal-length substrings and then mapping each substring to a single character using a simple hashing function.

The problem gives us an array of positive integers and asks us to choose the largest possible subset that can be rearranged into a very specific symmetric structure. The required structure looks like this: where is a power of two.

The problem is asking us to count the number of maximal contiguous blocks of equal numbers in a very large array nums. A block is maximal if it contains all consecutive occurrences of the same number, and numbers are guaranteed to appear in consecutive segments, i.e.

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.

The problem gives an integer array nums of length 3, where each value represents the length of a side of a possible triangle. Our task is to determine what kind of triangle these three sides can form.

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.

The problem requires displaying the first three rows of a given DataFrame named employees. The DataFrame contains four columns: employeeid, name, department, and salary.

The problem gives us an Orders table where each row represents a purchase made by a customer. Every order has an orderid, a customerid, an orderdate, and a price.

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.

In this problem, two players, Nikephoros and Polycarpus, play multiple rounds of rock-paper-scissors. Each player has a fixed sequence of moves that they cycle through as the rounds progress.

We are given a sequence of integers and asked to find the longest subsequence that forms an almost arithmetical progression.

The problem asks us to partition a list of student grades into multiple ordered groups under two strict conditions. First, the total sum of grades in the i-th group must be less than that of the (i+1)-th group.

We are given a square matrix of size n × n, where n is guaranteed to be an odd number. Each element of the matrix is a non-negative integer.

This problem asks us to determine, for each query, the maximum number of elements we can select from an array nums such that their sum does not exceed a given value.

We have a complete directed graph on n cities. For every car type, we know the travel time between every ordered pair of cities. These travel times are not guaranteed to be symmetric, so going from u to v may cost something different than going from v to u.

The problem gives us an undirected graph with n nodes labeled from 0 to n - 1. We must place every node into a 2D grid so that adjacency in the grid matches adjacency in the graph exactly.

You included two different problems in one message, and the second prompt overrides the first at the end. I will answer for LeetCode 2988 - Manager of the Largest Department.

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.

We have n ice sculptures placed evenly on a circle. Each sculpture has a value, which may be positive or negative. We may remove some sculptures, but the remaining ones must still form a regular polygon.

We are given a set of cupboards, each with two doors: left and right. Each door can be either open or closed. The initial state of each door is given in the input. Karlsson wants all left doors to be in the same position and all right doors to be in the same position.

The problem gives us a string called number, which represents a positive integer, and a character digit, which is guaranteed to appear at least once inside number.

The problem asks us to find the substring of a given string s that maximizes a custom cost function. Each character in the string has a value: if it exists in the string chars, its value is taken from the corresponding index in the array vals; if it does not exist in chars…

The problem gives us an array power, where each element represents the damage value of a spell. Every spell can be used at most once, and multiple spells may share the same damage value. The restriction is the important part of the problem.

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.

Petya can decide in which months he waters the flower. Each month contributes a fixed amount of growth, and skipping a month contributes nothing. The goal is to reach at least k centimeters of total growth while using as few months as possible.

The problem asks us to find a subsequence of length k from a given integer array nums such that the sum of the elements in the subsequence is maximized.

Alexander receives cards from friends one by one. Friend i sends card i, so card numbers and friend numbers are the same thing. At any moment Alexander may decide to send cards to some friends. He never creates new cards, he only reuses cards he has already received.

The problem gives us a binary string s that contains only '0' and '1'. We are allowed to swap any two characters in the string, not necessarily adjacent ones. Our goal is to transform the string into an alternating binary string using the minimum number of swaps.

Here is the complete technical solution guide for LeetCode 2755 following your requested format. The problem asks us to deep merge two JSON values, obj1 and obj2. The merging rules depend on the type of the values at each position in the objects or arrays.

We are given an array nums, and we must consider all non-empty subsequences of that array. A subsequence preserves the original order of elements, but elements do not need to be contiguous.

The problem asks us to enhance JavaScript arrays with a method called upperBound(). Given a sorted array of numbers and a target value, the method should return the last index where the target appears. If the target does not exist in the array, the method should return -1.

The problem asks us to count how many permutations of the numbers 1 through n satisfy a special condition called self-divisible. We start with the array: We must rearrange these numbers into every possible permutation, then determine whether the permutation is valid.

We are asked to count the number of ways to build a fence of exact length l using boards of n types, where each type is a rectangle of dimensions ai by bi.

We are asked to find the longest chain of stars the Donkey can select under a geometric rule. The stars are points on a plane, and we begin at the origin. From any star, we imagine two rays at fixed angles relative to the horizontal axis.

We are given an integer array nums and several queries. Each query specifies a subarray using two indices [fromi, toi]. For every query, we must determine whether the subarray nums[fromi..toi] is a special array.

We are given two 1-indexed arrays: - nums, where nums[i] represents how many decrement operations index i still needs before it becomes zero. - changeIndices, where changeIndices[s] tells us which index is eligible to be marked at second s. Initially, every index is unmarked.

The problem gives us an array of strings called words. We must count how many pairs of indices (i, j) satisfy two conditions: - i < j - words[i] and words[j] are similar Two strings are considered similar if they contain exactly the same set of distinct characters, regardless…

The problem describes an array that continuously goes through a repeating two-phase process. At minute 0, the array is unchanged. Every following minute, the leftmost element is removed until the array becomes empty.

We are tasked with equipping as many soldiers as possible with bulletproof vests. Each soldier has a preferred vest size, but they are willing to tolerate deviations within a given range. Specifically, the i-th soldier can wear any vest with a size between a[i] - x and a[i] + y.

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].

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.

We are given a fixed number of shelves and a collection of rewards split into two categories, cups and medals. Each category is further divided into three ranks, but for the placement logic those ranks do not matter beyond counting total items in each category.

We are given a decimal number as a string. We may independently permute its digits twice, producing two new numbers that contain exactly the same multiset of digits as the original number. Leading zeroes are allowed after permutation.

This problem asks us to find the kth largest value among a list of integers that are represented as strings. Each element in nums is a non-negative integer encoded as a string with no leading zeros, and we are required to return the kth largest value according to numeric order…

We have an n × n grid that starts completely white. Cells are painted black one by one, and every move paints a different cell. After each move, we want to know whether the board already contains a completely black 3 × 3 square.

The problem is asking us to simulate a simple bank account deduction after making a purchase. You start with an initial balance of 100 dollars. The purchase amount is given as an integer, purchaseAmount, representing the cost of an item in dollars.

The problem provides a database table named Data with two integer columns: firstcol and secondcol. Each row represents a pair of numbers, and duplicate rows are allowed.

We are given an m x n rectangular cake and need to divide it completely into 1 x 1 pieces. The cake can be cut along predefined horizontal and vertical lines.

We need to construct a permutation of numbers from 1 to n with two conditions. The first condition is p[p[i]] = i for every position i. Applying the permutation twice must return us to the original index. This means every element points back to its partner.

We have a collection of items sold in a supermarket. Every item has a price and a type. Type 1 means the item is a stool, type 2 means it is a pencil. Polycarpus owns exactly k shopping carts, and every cart must contain at least one item.

You are given two arrays, nums1 and nums2, both of length n. You are allowed to perform operations only on nums1. In a single operation, you may swap any two indices in nums1, and the cost of that operation is the sum of the two indices involved in the swap.

Each Olympiad happens on a fixed calendar date in 2013. Before that date, a group of jury members must work continuously for several days. If an Olympiad needs p people and t preparation days, then exactly p people are busy on each of the t days immediately before the Olympiad.

The problem asks us to construct a string from the characters of a given string s under a specific constraint: no character can appear more than repeatLimit times consecutively.

We are given a string num consisting only of digits. We may rearrange the digits in any possible way, but we only count distinct permutations. A permutation is considered balanced if the sum of the digits placed at even indices equals the sum of the digits placed at odd indices.

The problem asks us to count the number of pairs of non-empty disjoint subsequences from a given array nums such that the GCD of the elements in each subsequence of the pair is equal.

We are given a game split into n parts. Each part must be completed on a specific computer, and some parts depend on others, forming a dependency graph without cycles. Rubik can start at any computer and spends exactly one hour to complete a part.

The problem asks us to find, for each index in a given array nums, the length of the shortest contiguous subarray starting at that index whose bitwise OR is equal to the maximum possible bitwise OR obtainable from that index onward.

The input array differences describes how consecutive values in an unknown array change from one position to the next.

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 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.

We are asked to calculate the probability of performing well in a sequence of wizard contests, given both your chances of winning each contest and the types of prizes you may receive.

The problem requires transforming a given integer array nums into an alternating array with the minimum number of operations.

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.

The problem gives us a target string and a very restricted keyboard with only two operations. The first key always appends the character "a" to the end of the current string. The second key changes only the last character of the current string to the next letter in the alphabet.

We are asked to simulate a three-dimensional billiard-like scenario where a ball travels inside a rectangular corridor with perfectly reflecting walls, floor, and ceiling.

We are given a tree with $2n$ nodes, and the goal is to place each node into a 2-row by $n$-column table so that each edge of the tree connects two cells sharing a side. Each node occupies exactly one cell, and each cell contains exactly one node.

This problem models a scenario where you are traversing a train line with two parallel routes: a regular route and an express route. Each route has a series of consecutive stops, and the cost to move from one stop to the next is provided in the arrays regular and express.

The problem gives us an integer array nums and asks us to count how many elements satisfy a very specific condition.

This problem is asking us to determine the minimum number of levels Alice should play in order to score more points than Bob, given that both play optimally and that some levels may be impossible to clear. The input is a binary array possible of length n.

The problem gives us a database table named Users. Each row represents a purchase made by a user. The columns include: - userid, the identifier of the user - item, the purchased product - createdat, the purchase timestamp - amount, the purchase value The table may contain…

The problem gives us the root of a binary tree and an integer k. For every level in the tree, we calculate the sum of all node values that appear on that level. After computing all level sums, we must return the kth largest level sum.

The array contains every integer from 0 to n - 1 exactly once. The value 0 represents the empty space, while every other number represents an item that should eventually appear in sorted order. The operation is unusual compared to normal array sorting problems.

The problem asks us to design a data structure that can efficiently answer frequency queries on subarrays. We are given an integer array arr, and we need to support repeated queries of the form: - Given left, right, and value - Return how many times value appears in the…

This problem asks us to count the number of paths in a 2D integer matrix from the top-left corner (0, 0) to the bottom-right corner (m - 1, n - 1) such that the sum of the values along the path is divisible by a given integer k.

We are given the final standings of a programming contest. The scores are already sorted in non-increasing order, meaning each participant has a score greater than or equal to the next participant. A participant advances to the next round if two conditions are true.

Polycarpus needs to organize daily profit reports into folders, where each folder contains consecutive days. The key restriction is that a folder cannot contain three or more days with negative profit, because the boss cannot tolerate more than two loss days per folder.

A bus travels through a fixed sequence of road segments. Between consecutive segments there are traffic lights, and every light follows the same synchronized cycle. Each cycle lasts g + r seconds.

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 have a rectangular board where every cell contains one of three symbols. A move selects an active cell and disables cells along diagonals passing through it. The exact diagonals depend on the symbol. A cell marked L attacks the two diagonals with constant i + j.

The problem asks us to determine whether there exist two contiguous subarrays of length 2 in a given array nums that have the same sum. A subarray of length 2 is simply any consecutive pair of elements in the array.

The problem provides a database table named Days with a single column called day. Each value in this column is a valid SQL DATE, and every value is unique.

The problem requires us to insert spaces into a given string s at specific positions described by the array spaces. Each element in spaces represents an index in the string before which a space should be inserted.

The problem asks us to construct an array of n distinct positive integers such that no two elements in the array sum to a given integer k. This type of array is called k-avoiding.