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tamnd's digital brain — notes, problems, research

41650 notes

CF 106293C - Кося любит битмаски!

We are given an array of integers and we want to split it into a maximum number of consecutive non-empty segments that cover the whole array.

codeforcescompetitive-programming
CF 106290K - 餐券设计

I can’t write a correct editorial for this yet because the actual problem content is missing. Right now we only have the title “餐券设计” (voucher/coupon design), but no description of what the input represents, what transformations are required, or what the output…

codeforcescompetitive-programming
CF 106290G - 回文串魔法

I can’t reliably write a correct Codeforces-style editorial for this yet because the actual problem statement is missing from your prompt (the input/output sections are empty, and “回文串魔法” alone isn’t enough to reconstruct the task uniquely).

codeforcescompetitive-programming
CF 106289B - Card Game

I can’t reliably write a correct editorial for this yet because the actual problem content is missing. Right now, the statement only shows: - Problem: “Card Game” - No rules of the game - No input format - No output format - No constraints - No samples A Codeforces…

codeforcescompetitive-programming
CF 106272F - 蛇球

The problem statement is effectively empty here, so there is no way to reconstruct what Codeforces 106272F (“蛇球”) is asking. An editorial depends entirely on knowing the operations on the input, the constraints, and what is required to be computed.

codeforcescompetitive-programming
CF 106270D - Save the Wonderland

We are given a tree, meaning a connected graph with no cycles, where there is exactly one simple path between any two cities. We want to place exactly K guards on K chosen cities.

codeforcescompetitive-programming
CF 106268L - Common Tangent Lines

Thinking

codeforcescompetitive-programming
CF 106268D - Decompose and Concatenate

We are given a single large integer $N$, up to $10^{17}$. We are allowed to split it into two positive integers $a$ and $b$ such that $a + b = N$.

codeforcescompetitive-programming
CF 106267F - Floral CatastrophE

I can’t write a correct, detailed editorial for this yet because the actual problem content for “Floral CatastrophE (Codeforces 106267F)” is missing from your prompt.

codeforcescompetitive-programming
CF 106263H - SCNU LOGO

The task starts with a fixed ASCII logo: a small grid made of and . characters with dimensions 5 rows by 36 columns. You are given a scaling factor k, and you must output a new grid where every original character becomes a solid k × k block of the same character.

codeforcescompetitive-programming
CF 106262M - Web Delivery

We are given several independent scenarios where Gagamboy needs to buy one kilogram of each of several chemical types. There are multiple online sellers, and every seller sells every chemical, but the price depends on both the chemical and the seller.

codeforcescompetitive-programming
CF 106262G - Max Cut Min Flow

We are given a straight line of checkpoints from 1 to n. Water always flows strictly forward from checkpoint 1 to checkpoint n, and the only way to stop flooding is to block at least one of the n − 1 connections between consecutive checkpoints.

codeforcescompetitive-programming
CF 106252I - Volunteer Simulator

We process a chronological stream of accepted submissions in a programming contest. Each submission belongs to a team and a problem, and all submissions are already successful ones, so every line represents a correct solution attempt.

codeforcescompetitive-programming
CF 106252C - Buggy Painting Software II

We are given a two-phase system where we first construct a set of “color images”, and later must decode them after a lossy transformation. Each image consists of a sequence of length $3m$.

codeforcescompetitive-programming
CF 106251C - Marbles

We are given a permutation on the integers from 1 to n, meaning every position points to exactly one other position, and every position is pointed to exactly once.

codeforcescompetitive-programming
CF 106250D - Exam Room

We are given a set of points in the plane with a fixed origin point $O$. The task is to count how many subsets of these points are “valid” under a geometric constraint that depends on distances and angles relative to $O$.

codeforcescompetitive-programming
CF 106241M - Ultimate K-Query

We are given an array of length n, and we need to answer q queries. Each query asks about a subarray, but the endpoints of that subarray are not taken directly from the input.

codeforcescompetitive-programming
CF 106241H - Yasser and Arithmetic Sequences

We are given an array and we are allowed to slightly adjust each element, but only once per position, and the adjustment is extremely limited: for each index we can either do nothing or add/subtract an integer between 1 and 10.

codeforcescompetitive-programming
CF 106241B - Bouncing Chaos

We are simulating two identical billiard balls moving inside a rectangular grid of size $n times m$. Each cell has integer coordinates $(i, j)$, and both balls start from interior positions, never on the boundary.

codeforcescompetitive-programming
CF 106239H - 能量汇聚

We are standing on a line of positions labeled from 0 to n. Position 0 is the start and has no reward, while every position from 1 to n contributes a fixed energy value if we land on it. We begin at position 0 and want to reach position n. Movement is constrained in two ways.

codeforcescompetitive-programming
CF 106239D - 环球旅行商

The map consists of rows from 0 to n+1 and columns from 1 to m. Rows 0 and n+1 represent the north pole and south pole. Every supply point lies inside rows 1...n. From a cell (x,y) we may move south to (x+1,y), or move left and right inside the same row.

codeforcescompetitive-programming
CF 106238L - Quantum Computing Programming

This problem has no input. We start with three qubits. The first qubit contains an arbitrary unknown state $$alpha while the second and third qubits are both initialized to $ The task is to output a program in the given HYW language.

codeforcescompetitive-programming
CF 106238E - Reliable Piglet

I do not have enough information to write a correct editorial for Codeforces 106238E - Reliable Piglet. The material you provided contains only the title and empty input/output sections.

codeforcescompetitive-programming
CF 106238G - Gift

I can't write a correct editorial for this problem from the information provided. The prompt identifies the task as "Codeforces 106238G - Gift", but the attached statement is missing.

codeforcescompetitive-programming
CF 106238D - Song of Loneliness

I can write the editorial, but the problem statement you provided is incomplete. For Codeforces 106238D, the only visible text is: - "D" - "概率论" - "文本比较" The actual description, input format, output format, and constraints are missing.

codeforcescompetitive-programming
CF 106225H - Hyper Smawk Bros

The game starts with a boss whose health is n. Two players attack alternately and you move first. Every attack deals some integer damage between 1 and m. The only restriction is that a player cannot repeat the amount that the opponent used on the immediately preceding turn.

codeforcescompetitive-programming
CF 106225D - Dungeon Equilibrium

We are given an array where each value represents a monster type. A level is considered balanced when every type that remains appears exactly as many times as its own value. For example, if type 4 is present, then it must occur exactly four times.

codeforcescompetitive-programming
CF 106210A - 最大子串匹配删除操作

all in the style and formatting you specified.

codeforcescompetitive-programming
CF 106208F - Time Well Spent

I can do this, but the problem statement in your message is corrupted and incomplete. Several critical pieces are missing or malformed: - The first line says The first line contains one integer t, but the sample input does not contain t.

codeforcescompetitive-programming
CF 106208D - The New CEO of CloseAI

We are given a collection of words separated by spaces. Initially every character is its own token. At any moment, every word is represented as a sequence of tokens rather than a sequence of characters. During one iteration we examine every adjacent pair of tokens in every word.

codeforcescompetitive-programming
CF 106203B - Пирамида Видений

We are given a triangular array with n rows. Row i contains exactly i integers. The process starts from the top row and repeatedly destroys rows one by one until only the bottom row remains.

codeforcescompetitive-programming
CF 106203I - Проблемы бритья

We are given a grid representing a face. Each cell is marked as either a required shaving area, a forbidden area, or an irrelevant area. The goal is to determine whether we can remove all required cells marked with “+” using a razor.

codeforcescompetitive-programming
CF 106203F - Ларёк и две куклы

We are given two integers representing values stored in two separate “cursed dolls”. Let us call them the first value and the second value. We are also given two parameters that define a synchronized operation.

codeforcescompetitive-programming
CF 106203A - Луч смерти

We are maintaining a dynamic set of points on the plane. Each operation either inserts a new point or removes an existing one, and after every operation we must answer a yes/no question: whether all currently present points can be covered by a single infinite straight line.

codeforcescompetitive-programming
CF 106208C - Max Person

We are given an unlimited tower of floors. Each floor has exactly $n$ rooms, and each room can hold one person. Placing a person on floor $x$ costs $2x$ units of budget, and we are allowed to place multiple people on the same floor as long as we do not exceed $n$ people there.

codeforcescompetitive-programming
CF 106210G - 互异排列---扩展

I can’t produce a correct editorial for this yet because the actual problem statement is missing. Right now I only see the title “106210G - 互异排列---扩展”, but there is no description of what is given, what operations are allowed, or what needs to be computed.

codeforcescompetitive-programming
CF 106210J - 收藏宝石

I can’t write a correct editorial for this yet because the actual problem content is missing. Right now I only see the title “Codeforces 106210J - 收藏宝石” and a placeholder “J”, but no description, input/output format, or constraints.

codeforcescompetitive-programming
CF 106210F - 【模板】Pollard-Rho

The task is to take a list of very large integers and break each one into its prime components. For every input number, the output describes how it decomposes into primes, typically by listing the prime factors with their multiplicities or presenting derived information such…

codeforcescompetitive-programming
CF 106210E - 稳定区间

The statement you provided is incomplete, so there’s no way to reconstruct the actual problem being solved. Right now we only have the title “稳定区间” (Stable Interval) without the definition of what a stable interval is, what the input array looks like, or what needs…

codeforcescompetitive-programming
CF 106210B - 我不是 AI

I’m missing the actual problem content for Codeforces 106210B - 我不是 AI. Right now the statement section only contains “B”, so there’s nothing concrete to derive the solution from.

codeforcescompetitive-programming
CF 106225I - Isaac's Queries

We are given a hidden array of length n, where each element is a 30-bit integer chosen uniformly at random. We are allowed to ask queries on any subsegment [u, v], and the system returns a compressed view of the XOR of that segment.

codeforcescompetitive-programming
CF 106225F - Factory Table

We are given an array that is claimed to come from a very structured construction. Fix a positive integer $k$. If we list all products $i cdot j$ for $1 le i le k$ and $1 le j le k$, row by row, we obtain a length $k^2$ sequence.

codeforcescompetitive-programming
CF 106225C - Chamber of Secrets 2

We are given a collection of n sequences, each of length m, and each sequence corresponds to a block that was produced by a hidden construction process.

codeforcescompetitive-programming
CF 106233D - XOR Фибоначчи

We are working with a sequence that looks like Fibonacci, except the operation used to combine previous values is bitwise XOR instead of arithmetic addition. Two starting values are given, and every next value is determined only from the previous two.

codeforcescompetitive-programming
CF 106235A - Athletes

We are given a collection of athletes, each described by two attributes: strength and endurance. From these athletes we must choose exactly k individuals.

codeforcescompetitive-programming
CF 106237E - Cheapest Beautiful Path

We are given a weighted undirected graph where each vertex carries a small integer label, and each edge has a large positive weight.

codeforcescompetitive-programming
CF 106237A - Ladder

The task is to build the tallest possible “ladder” from a collection of wooden planks, where each plank has a fixed length and cannot be cut or reused. A valid ladder of height $k$ is constructed by selecting exactly $k + 2$ planks from the input.

codeforcescompetitive-programming
CF 106238K - Bored Piglet

I can’t write a correct editorial for this yet because the actual problem content is missing. Right now, the statement section is empty (no input/output specification, no rules, no constraints).

codeforcescompetitive-programming
CF 106238H - Probability Theory

I can’t reliably write a correct Codeforces-style editorial for this problem as given because the actual problem statement content is missing from your prompt.

codeforcescompetitive-programming
CF 106238F - XCPC Restart

The material provided for “Codeforces 106238F - XCPC Restart” does not include any actual problem statement, input/output description, or constraints. Only the title, time limit, and memory limit are visible, with the rest of the content effectively missing.

codeforcescompetitive-programming
CF 106238B - Generalized Segment Tree

We are working with a data structure that behaves like a segment tree, but not necessarily in the strict classical sense.

codeforcescompetitive-programming
CF 106239M - 敌人的敌人

We are given a collection of countries, where each country is a node in a graph and every direct enemy relationship is an edge.

codeforcescompetitive-programming
CF 106239J - 协会的实验

We are given a sequence of operations that gradually builds a string starting from empty. Each operation inserts exactly one character, but the insertion is not always at the same position.

codeforcescompetitive-programming
CF 106239F - 宇宙射线风暴

The plane contains a square region from $0$ to $N$ on both axes. Inside this region, we are given many infinite straight lines, each carrying a weight. Every line is either of slope $+1$, written as $y = x + b$, or slope $-1$, written as $y = -x + c$.

codeforcescompetitive-programming
CF 106239B - 魔法棋盘

We are given a 1000 by 1000 grid with a fixed checkerboard coloring. Cell (x, y) is white when x + y is even, and black otherwise.

codeforcescompetitive-programming
CF 106241N - Ma3rofa 2lsra7a

We are given a single integer $x$, and we want to know whether it can be split into three perfect squares of positive integers.

codeforcescompetitive-programming
CF 106241J - 7aseb El Triangle

We are given a geometric configuration built on a straight baseline. Three points lie on one line in the order B, C, D, with the segment from B to C having the same length as the segment from C to D.

codeforcescompetitive-programming
CF 106241F - GCD <-> LCM

We are given an array of integers and we need to count how many ordered quadruples of indices $(i, j, k, l)$ satisfy a very specific equality between two number-theoretic expressions.

codeforcescompetitive-programming
CF 106241A - Ya Sabah El GCD

We are given two arrays of equal length. At every position, we are allowed to optionally “upgrade” the value in the first array by replacing it with the gcd of that value and the corresponding value in the second array.

codeforcescompetitive-programming
CF 106242G - DVDlogo (dvdlogo)

We are dealing with a classic geometric simulation that behaves like a “DVD logo” bouncing inside a rectangular screen. A point moves in straight lines at a fixed diagonal direction.

codeforcescompetitive-programming
CF 106250I - RMQ

We are working with a procedure over an array where the core operation is repeatedly locating range minima and splitting the array around them, similar in spirit to building a Cartesian tree.

codeforcescompetitive-programming
CF 106250F - Collatz Conjecture

We are given an array, and each element generates a deterministic sequence derived from the Collatz process. Instead of working with the raw numbers, we care about the parity pattern along each generated sequence. Every term is encoded as either +1 for even or −1 for odd.

codeforcescompetitive-programming
CF 106250C - Busy Beaver's Faulty Machine

We are given several independent test cases. In each test case there is a multiset of positive integers placed on a board.

codeforcescompetitive-programming
CF 106251I - Mahjong Connect

The task is to determine whether a set of tiles on an $N times N$ grid can be completely paired under a specific connectivity rule, and if so, produce such a pairing.

codeforcescompetitive-programming
CF 106251F - Avoid Copyright Infringement

We are asked to construct a string under strict composition constraints. The string is formed from three characters, which we can think of as three types of symbols, say M, T, and I.

codeforcescompetitive-programming
CF 106251A - M

The task describes constructing a visual pattern inside an $N times N$ grid. Every cell initially contains a dot character, and then specific cells are overwritten with hash characters to form a symmetric drawing. The drawing consists of four independent components.

codeforcescompetitive-programming
CF 106252K - Relay Jump

We are given a system of frogs placed on integer points in the plane. One frog is activated first, and then activation propagates along a sequence.

codeforcescompetitive-programming
CF 106252F - The Bond Beyond Time

We are given an undirected connected graph where two tokens start at distinct vertices. Before the process begins, we must assign a direction to every edge, turning the graph into a directed one. After orientation, both players move simultaneously in rounds.

codeforcescompetitive-programming
CF 106252A - Square Kingdom

We are given a kingdom where each resident sits at a unique height. The height of resident $i$ is defined by a simple arithmetic expression that depends on $i$, $a$, and $b$.

codeforcescompetitive-programming
CF 106337A - Итоги олимпиады

We are given an array of integers representing scores of participants in an olympiad. For every ordered pair of participants $(i, j)$, we compute how much “extra” score $j$ has compared to $i$, but only if $j$ is better.

codeforcescompetitive-programming
CF 106338C - Скользящие окна

We are given an array and a set of queries. Each query describes a window size and asks about sliding that window across the array. For every position of the window, we take the minimum value inside it, and then we aggregate these minima over a range of window positions.

codeforcescompetitive-programming
CF 106339I - Snow Clearing

We are given a line of road split into segments, each segment having an initial snow height. The process repeatedly modifies these heights.

codeforcescompetitive-programming
CF 106339F - Frosted Highway (Hard)

We are given an array indexed from 1 to n, where each position i contains a value h[i]. Alongside this array, there are multiple queries.

codeforcescompetitive-programming
CF 106339C - Frosted Highway

We are given a highway represented as a sequence of markers. Each marker has a fixed height value and an index in the array.

codeforcescompetitive-programming
CF 106352C - Погоня за патентом

We are given a sequence of numbers placed on a line of safes. Each safe carries an integer label, and that label is only important through its prime divisors.

codeforcescompetitive-programming
CF 106353H - Hasty Haul

We are given a very small grid, at most 8 by 8, where some cells contain furniture pieces and the rest are empty. Each test case describes one such arrangement with exactly k occupied cells. Two teams agree on a deterministic strategy that looks only at the current arrangement.

codeforcescompetitive-programming
CF 106353C - Canal Crossing

We are given a network of places connected by two different kinds of connections. The first kind is a set of normal streets. These streets connect all places, form a tree, and each has a positive travel cost.

codeforcescompetitive-programming
CF 106356K - Lottery

There are many people, and each person owns a small number of lottery tickets, at most five per person. A draw repeatedly picks a single ticket uniformly from all remaining tickets.

codeforcescompetitive-programming
CF 106356F - Mandatory XOR Problem

We are asked to consider all ways of distributing a fixed total sum across an array of length $N$, where each element is a non-negative integer and the total sum of all elements is exactly $S$. Every such array is a composition of $S$ into $N$ parts.

codeforcescompetitive-programming
CF 106356C - Path of Crows

We are given a tree with $n$ vertices, meaning $n$ nests connected by $n-1$ undirected branches, with exactly one simple path between any two nests.

codeforcescompetitive-programming
CF 106363F - Four in a Row

We are given a permutation of numbers from 1 to n. From this permutation we consider every contiguous segment and compute its MEX, meaning the smallest positive integer that does not appear inside that segment.

codeforcescompetitive-programming
CF 106363B - Edward is Sigma

We are given a single integer $n$, and we must construct a permutation of the numbers $1$ through $n$. After building this permutation, we evaluate its “beauty”, which is defined as the sum of absolute differences between every pair of adjacent elements in the permutation.

codeforcescompetitive-programming
CF 106367F - Magicology

We are given a rooted tree where each vertex stores an initial value. A transformation is applied to this tree-valued array: every vertex replaces its value with the sum of values in its subtree.

codeforcescompetitive-programming
CF 106367A - The World Is Full of Colors

We are given a sequence of RGB colors written in the standard hexadecimal web format, where each color starts with followed by six lowercase hexadecimal characters.

codeforcescompetitive-programming
CF 106262F - Map and Fold

Thinking

codeforcescompetitive-programming
CF 106259B - K Floors Down

We are asked to consider all ways of building a sequence of length k, where each element is independently chosen from the given array a.

codeforcescompetitive-programming
CF 106259C - Pattern Purifier

We are given a string made of lowercase letters, and we are allowed to repeatedly delete substrings as long as each deleted piece is both a palindrome and has even length.

codeforcescompetitive-programming
CF 106258A - The Easy One

The task is extremely small and direct: we are given a sequence of responses from multiple people, where each response is either “this is easy” or “this is hard”. The goal is to decide whether the problem can still be considered easy overall. The rule is simple.

codeforcescompetitive-programming
CF 106254C - Dirichlet's Theorem

We are given a collection of integers and we need to analyze relationships between pairs of them based on their greatest common divisor. The task is to count how many unordered pairs have no common factor other than 1, meaning their gcd is exactly 1.

codeforcescompetitive-programming
CF 1062531 - Коллекция фотографий

I cannot produce a correct editorial for “Codeforces 1062531 - Коллекция фотографий” yet because the actual problem statement (input/output specification and rules) is missing from the prompt.

codeforcescompetitive-programming
CF 1268A - Long Beautiful Integer

We are given a decimal string representing a positive integer with $n$ digits. Along with it, there is a fixed step size $k$.

codeforcescompetitive-programmingconstructive-algorithmsgreedyimplementationstrings
CF 1062535 - Подпись Николая

I can't reliably write an editorial for this problem because the actual statement for Codeforces 1062535 "Подпись Николая" is not included in your message, and the problem does not appear to be publicly accessible from the information I can retrieve.

codeforcescompetitive-programming
CF 1062533 - Беспорядок в библиотеке

We start with a shelf of books where each position initially contains a distinct book. Each book has a fixed “target position” it should eventually end up in, given by an array where the value at position i tells us where the book currently sitting there belongs in the…

codeforcescompetitive-programming
CF 1062534 - Время волшебства

I’m missing the actual problem statement for Codeforces 1062534 - “Время волшебства”, so I can’t reconstruct the intended solution or write a correct editorial yet.

codeforcescompetitive-programming
CF 1062532 - Саша и разнообразные числа

I don’t have the actual statement for Codeforces 1062532 - “Саша и разнообразные числа” in your prompt, and I can’t reliably reconstruct it from the title alone without risking inventing details.

codeforcescompetitive-programming
CF 106254B - Theme Park Tickets

I can’t reliably write a correct editorial for this yet because the problem statement, input format, and output specification are missing.

codeforcescompetitive-programming
CF 106254E - Snowfall Statistics

I’m missing the actual problem statement for Codeforces 106254E - Snowfall Statistics, so I don’t have enough information to correctly derive the solution or write a meaningful editorial.

codeforcescompetitive-programming
CF 106254D - Boggling Word

The problem statement is missing from your prompt, so I don’t have the actual task (rules, input format, or what needs to be computed).

codeforcescompetitive-programming
CF 106254A - Crypto Catastrophe

I can write the full editorial in the exact format you want, but I’m missing the actual problem statement for Codeforces 106254A - Crypto Catastrophe.

codeforcescompetitive-programming
CF 106258C - The Unnecessary One

You’re right to flag this immediately, the earlier problem ID is misleading. Codeforces 106258C is not a standard public problem statement in the usual archive format, and without the actual statement there is nothing reliable to derive an editorial from.

codeforcescompetitive-programming