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tamnd's digital brain — notes, problems, research

41641 notes

CF 105705C - Farthest Apart

Got it - I can write a Codeforces-style editorial. But I’ll need the problem first. Please paste one of the following: - Full problem statement - Or at least the link / contest + problem letter - Or input/output + constraints + idea you want explained Once you send it…

codeforcescompetitive-programming
CF 105705A - Max Xor Pair

I can absolutely write a complete editorial, but I don't have enough information to do it correctly. The Gym page for Codeforces 105705A only provides the statement, not the official samples or any editorial, and this problem requires discovering the key observation from the…

codeforcescompetitive-programming
TAOCP 7.1.2 Exercise 77

The original proof fails because it tries to impose a Shannon-style decomposition on the _syntactic structure_ of a straight-line program.

taocpmathematicsalgorithmsvolume-4hard
CF 105692M - The Other Tree Problem

I can’t write a correct Codeforces editorial for “105692M - The Other Tree Problem” because the problem statement is missing from your prompt. Right now I don’t know what the input represents (tree structure, queries, weights, transformations, etc.

codeforcescompetitive-programming
CF 105692L - ChaseDreamer

The problem statement is missing from your prompt, so there isn’t enough information to write a correct editorial.

codeforcescompetitive-programming
CF 105692K - The Tree Problem

Absolutely. Please provide the Codeforces problem (either the problem statement, problem ID such as "CF 1902C", or a link), and I'll write a competitive-programming editorial in the style commonly seen after contests. The editorial can include: 1.

codeforcescompetitive-programming
CF 105692J - Pseudo Merge Sort

I can’t reliably write a correct Codeforces editorial for 105692J - Pseudo Merge Sort without the actual problem statement.

codeforcescompetitive-programming
CF 105692I - Expected Value

I can’t produce a correct editorial yet because the actual problem content is missing. Right now I only have the title “Codeforces 105692I - Expected Value”, but no definition of the random process, input format, or what exactly is being computed.

codeforcescompetitive-programming
CF 105692H - The Easiest Problem

I can absolutely write a full editorial of that form, but I first need the complete problem statement or at least the official samples.

codeforcescompetitive-programming
CF 105692C - Dominoes Covering

We are given a binary target string representing a line of cells, initially all white. The only allowed operation acts on two adjacent cells: when we pick an index $i$, we forcibly set cell $i$ to white and cell $i+1$ to black, regardless of their previous state.

codeforcescompetitive-programming
CF 105692A - Chtholly Tree

I can’t write a correct editorial for this yet because the actual problem statement for “Codeforces 105692A - Chtholly Tree” isn’t included, and I don’t have reliable access to its content.

codeforcescompetitive-programming
CF 105692F - Big Baozi, Small Baozi

I can absolutely write a full editorial in the format you requested, but I don't have the actual problem statement for Codeforces Gym 105692F - Big Baozi, Small Baozi.

codeforcescompetitive-programming
CF 105691C - Gears

I can't accurately write this editorial because the prompt identifies the problem as "Codeforces 105691C - Gears", but the actual problem statement is missing.

codeforcescompetitive-programming
CF 105691B - RecoveriT

I cannot responsibly write a correct Codeforces-style editorial for 105691B - RecoveriT yet because the actual problem statement is not available in the context you provided, and it is not accessible from the retrieved sources.

codeforcescompetitive-programming
CF 105335A - Auntie's Magical Cake

Sure - I can do that, but I’ll need the actual problem first. Please paste the Codeforces problem statement (or at least the link / name), and if you want a specific style, tell me: - short editorial vs.

codeforcescompetitive-programming
CF 105335H - Heavenly Sequence

We are given a growing array where after each step we only consider a prefix of the array. For each prefix, we need to determine a parameter $K$ under a constraint involving a second parameter $X$, which is chosen from a given interval.

codeforcescompetitive-programming
CF 105335E - Executive's Holidays

I can’t write a correct editorial for this problem yet because the actual statement is missing. Right now I only see “E” with empty input and output sections, which doesn’t give any information about what is being asked, what the operations are, or what constraints drive…

codeforcescompetitive-programming
CF 105691A - A boring party!

The task describes a small game played with numbers where each number contributes a value equal to itself, but choosing a number has a side effect: it “removes” its immediate neighbors in value.

codeforcescompetitive-programming
CF 105692G - Find the Second Maximum

The task is about extracting order information from a collection of numbers: given a sequence, we want to identify not only the largest value, but also the value that is immediately below it in the ordering when duplicates are ignored.

codeforcescompetitive-programming
CF 105692E - OIer's Dream(Chaser)

We build the solution by scanning possible gcd values from large to small and maintaining which array elements are available for each gcd class. 1. Preprocess the frequency of each value in the array.

codeforcescompetitive-programming
CF 105692D - Coprime

We are asked to fill an $n times n$ grid with the integers from $1$ to $n^2$, each used exactly once, so the grid is a permutation of that range arranged in matrix form.

codeforcescompetitive-programming
CF 105692B - GoGo

The task is to simulate a very small programming language and determine what happens when a given script is executed. The script looks like a single function body starting from func main() and ending at its closing brace.

codeforcescompetitive-programming
CF 1056964 - Разрез

Sure - I can do that. Please paste the full Codeforces problem statement (or at least the link / name + constraints).

codeforcescompetitive-programming
CF 1056962 - Минимум

I can’t reliably write a correct Codeforces editorial for 1056962 - “Минимум” without the actual problem statement. Right now the input/output sections are empty, and there are multiple different problems that could plausibly share that name.

codeforcescompetitive-programming
CF 1056961 - Близкие друзья

I’m missing the actual problem statement here, and the identifier also looks a bit off for a Codeforces problem ID (it may be a contest task reference like “1056 E1” or similar, but as written I can’t reliably reconstruct it).

codeforcescompetitive-programming
CF 1056963 - Феникс

I can do that, but I’ll need the problem first. Please paste the Codeforces problem statement (or link + key details like constraints).

codeforcescompetitive-programming
CF 1056974 - Боб и Босс Файтинг

The problem statement section is empty, so there’s no way to reconstruct what “Боб и Босс Файтинг” is actually asking. Without the actual rules, inputs, and required output, any editorial would be guesswork and would very likely be wrong.

codeforcescompetitive-programming
CF 1056971 - Настоящие друзья

Each natural number greater than 1 is assigned a “friend”, defined as its largest proper divisor, meaning the biggest number strictly smaller than it that still divides it exactly. For example, 6 has proper divisors 1, 2, 3, and its friend is 3.

codeforcescompetitive-programming
CF 1056972 - Простой феникс

I can write the full editorial in exactly that style, but I’m missing the actual problem statement for “Codeforces 1056972 - Простой феникс”.

codeforcescompetitive-programming
CF 1056973 - Дело о делимости

I can’t reliably write a correct editorial for this yet because the actual problem statement is missing from your message (the sections for input/output are empty).

codeforcescompetitive-programming
CF 105705D - Simple Tree

The input describes a tree, meaning a connected undirected graph with no cycles, where each node carries an integer label.

codeforcescompetitive-programming
CF 105705B - Segment Trees ?

We maintain a sequence of integers. Over time, we are allowed to perform two actions. One action directly changes a single position in the array to a new value.

codeforcescompetitive-programming
CF 105706B - Error of 2

We are working with a weighted tree, so between any two nodes there is exactly one simple path, and the distance between two nodes is the sum of edge weights along that path. For each query we are given a number $K$.

codeforcescompetitive-programming
CF 105706A - Neq Array

We are given an integer array $A$. For any contiguous segment $A[L..R]$, we are asked to construct another array $B$ of the same length that satisfies a few structural constraints: all values in $B$ must be positive, the sequence must be non-decreasing from left to right, and…

codeforcescompetitive-programming
CF 105706C - Virtual Tree Subsets

Sure - please paste the full problem statement (or link + key constraints), and I’ll write a Codeforces-style editorial for it. If you already have a preferred format (e.g., include proofs, complexity, multiple approaches, or implementation tips), tell me that too.

codeforcescompetitive-programming
CF 105709F - Birdwatching

We are given a set of birds placed at distinct integer coordinates on a number line, and a set of cameras placed at distinct coordinates as well. All cameras move together by the same integer shift, meaning we choose a single value $x$ and add it to every camera position.

codeforcescompetitive-programming
CF 105709E - Finch Sanctuaries

We are given a collection of finches, each living initially in its own separate sanctuary. Every finch comes with a fixed string of traits, where each trait position is a character in a small alphabet from 'a' to 'j'.

codeforcescompetitive-programming
CF 105709B - Lowest Common Ancestor

The task is about maintaining a rooted tree and answering relationship queries between pairs of nodes. For any two given nodes in the tree, we need to determine their lowest common ancestor, meaning the deepest node in the rooted structure that lies on the path from the root…

codeforcescompetitive-programming
CF 105709D - Sample Collecting

I’m missing the actual problem statement for Codeforces 105709D - Sample Collecting (your prompt shows an empty section). Without the statement, any “editorial” would be guesswork, and for this format that would very likely drift into explaining the wrong problem.

codeforcescompetitive-programming
CF 105710H - Lobotomy

We are given a network of neurons, where each neuron is a node and each synapse is an undirected connection between two neurons. Unlike a standard simple graph, multiple synapses can connect the same pair of neurons, and a synapse can even connect a neuron to itself.

codeforcescompetitive-programming
CF 105710J - Barnacle Game

Sure - I can do that. Please paste the full Codeforces problem statement (or at least the link / name + constraints). If there are multiple subtasks or samples, include those too.

codeforcescompetitive-programming
CF 105710E - Finch Sanctuaries

I don’t have the actual statement of Codeforces 105710E - Finch Sanctuaries in your prompt, and I can’t reconstruct a correct solution or editorial without knowing the rules of the problem (what the input represents, what needs to be computed, and constraints).

codeforcescompetitive-programming
CF 105710I - Palagapos

I can’t write a correct editorial for that problem yet because the statement is missing. “Codeforces 105710I - Palagapos” isn’t enough to reconstruct the task reliably, and guessing would produce a misleading explanation and likely an incorrect solution.

codeforcescompetitive-programming
CF 105710F - Birdwatching

There are two finite sets of points on a number line. One set represents bird positions, the other represents camera positions.

codeforcescompetitive-programming
CF 105710G - Galapagos

I can’t write a correct Codeforces editorial without the actual problem statement. “105710G - Galapagos” doesn’t provide enough information to reconstruct the task reliably, and guessing would very likely produce a wrong or misleading solution.

codeforcescompetitive-programming
CF 105710C - Finchy Flying

We are given a set of birds, each one starting from some horizontal position on a line and flying vertically upward to a peak height before coming straight back down to the same ground level. The complication is that wind layers exist at specific altitudes.

codeforcescompetitive-programming
CF 105710D - Sample Collecting

Sure-please paste the full problem statement (or link/text), and I’ll write a Codeforces-style editorial. If you want a specific format (e.g., intuition → observations → solution → complexity → implementation tips → common pitfalls), tell me that too.

codeforcescompetitive-programming
CF 105712M - LIS On Tree

We are given a rooted tree where each vertex carries a value. The structure defines parent-child relationships, and every node lies on exactly one path from the root. For any node, consider the sequence of values encountered while walking from the root down to that node.

codeforcescompetitive-programming
CF 105712J - Ambiguous Permutations

We are given several test cases, each describing a permutation of the integers from 1 to n. A permutation here is just an array where every number from 1 to n appears exactly once.

codeforcescompetitive-programming
CF 105712I - Domino Swap

We are given a grid of size $n times m$ containing two colors, black and white. The goal is to transform a starting configuration into a target configuration using a specific operation applied to adjacent cells.

codeforcescompetitive-programming
CF 105712F - Bitwise Triangles

The problem works with a collection of numbers that can be interpreted as bitmasks. You are asked to reason about triples of numbers that form a “triangle”, but the side lengths of this triangle are not ordinary arithmetic values.

codeforcescompetitive-programming
CF 105715D - Дерево навыков

The structure is a rooted tree of skills, where every node represents a skill in a game progression system. Each skill has a type, and unlocking a skill requires first unlocking its ancestors in the tree.

codeforcescompetitive-programming
CF 105715C - Торговля

We are given a list of distinct item prices. Each item must be increased or left unchanged, and we choose new prices so that the final system uses exactly k distinct values. Every item is assigned one final price, and that price must be at least its original value.

codeforcescompetitive-programming
CF 105715B - Странствующий полководец

We are playing an interactive game on an infinite integer grid. A hidden token starts somewhere at integer coordinates, and its position changes only when we explicitly send a command.

codeforcescompetitive-programming
CF 105715A - Шестиугольная сетка

The statement for Codeforces 105715A (“Шестиугольная сетка”) is not included in your prompt, so I cannot reliably reconstruct the intended problem model or derive a correct algorithm without guessing.

codeforcescompetitive-programming
CF 105719E - Coins on a Tree

We are given a tree where each vertex initially holds a coin, so every node is “active”. Then coins are removed one by one until only two remain.

codeforcescompetitive-programming
CF 105719D - Caesar's Palindrome

Sure-please paste the full Codeforces problem statement (or at least the link + key parts). Once I have it, I’ll write a proper competitive programming editorial with: - intuition - key observations - step-by-step solution - proof / correctness argument - complexity analysis…

codeforcescompetitive-programming
CF 105719C - Elephant Filimon and the Very Important Message

I can’t reliably reconstruct Codeforces 105719C (“Elephant Filimon and the Very Important Message”) from the title alone, and the statement section in your prompt is empty.

codeforcescompetitive-programming
CF 105719A - OGD

I don’t actually have the statement of Codeforces 105719A - OGD available in the prompt or in the search results, so I can’t safely reconstruct the solution yet.

codeforcescompetitive-programming
CF 105719B - Total Ambiguity

Got it - please paste the full Codeforces problem statement (or at least the link / input-output + constraints). Once I have it, I’ll write a proper competitive programming editorial with: - problem intuition - key observations - full solution idea - proof / correctness -…

codeforcescompetitive-programming
CF 105728P - The Masked Guards' Line-Up

I can’t write a correct editorial for that problem yet because the actual problem statement is missing from your prompt.

codeforcescompetitive-programming
CF 105728N - The Trap of Four Corners

We are given a set of points on a 2D plane. The task is to count how many distinct groups of four points lie on a single circle, meaning there exists some circle whose boundary passes through all four chosen points. The input is just a list of coordinates.

codeforcescompetitive-programming
CF 105728M - The Maximum MEX Challenge

Each test case describes a set of “choices”. There are n intervals, and from the i-th interval we must pick one integer that lies inside its allowed range. After doing this for all intervals, we obtain an array of length n.

codeforcescompetitive-programming
CF 105728O - The Revolt of the Masked Guards

I can’t reliably write a correct editorial for this yet because the problem statement is missing. Right now all I have is the title, “The Revolt of the Masked Guards”, but no information about: how the input is structured, what the guards or masks represent, what operation…

codeforcescompetitive-programming
CF 105728L - Player 001

I can’t write a correct editorial for this yet because the actual problem statement is missing. “Codeforces 105728L - Player 001” alone isn’t enough to reconstruct the task reliably, and guessing would almost certainly produce a wrong solution and misleading reasoning.

codeforcescompetitive-programming
CF 105728J - The Guards' Challenge - Easy Version

The brute-force approach comes from directly interpreting the rules as written: for each guard, we examine every other guard and compute how they interact, accumulating their contribution to the final answer.

codeforcescompetitive-programming
CF 105728K - The Guards' Challenge - Hard Version

The problem statement is missing from your prompt, so I don’t have the actual task definition, constraints, or required output. Writing a correct Codeforces editorial without that would require guessing the problem, which would likely produce a wrong or unrelated solution.

codeforcescompetitive-programming
CF 105728D - The Marble Duel

Sure-please send the full Codeforces problem statement (or link + constraints), and I’ll write a complete competitive programming editorial with: - Intuition and observations - Step-by-step derivation - Key insights / lemmas - Algorithm explanation - Complexity analysis -…

codeforcescompetitive-programming
CF 105728I - The Binary Escape Challenge

I don’t have the actual problem statement for Codeforces 105728I - The Binary Escape Challenge, so I can’t responsibly write a correct editorial yet.

codeforcescompetitive-programming
CF 105728H - The Revolving Death Clock

The task can be understood as simulating a process on a circular arrangement of positions, where a pointer moves around like the hand of a clock and repeatedly removes elements according to a fixed rule until only one position remains.

codeforcescompetitive-programming
CF 105728G - The Totient Challenge

The prompt is missing the actual problem statement for Codeforces 105728G - The Totient Challenge, so there is no reliable way to reconstruct what is being asked without risking inventing details.

codeforcescompetitive-programming
CF 105728E - The Deadly Escape

I can’t reliably write a correct editorial for Codeforces 105728E “The Deadly Escape” without the actual problem statement. That problem ID doesn’t come with visible content in your prompt, and I don’t want to guess the structure (grid/graph/game/etc.

codeforcescompetitive-programming
CF 105728F - The Glass Bridge Challenge

I can’t write a correct editorial yet because the actual problem statement for Codeforces 105728F - The Glass Bridge Challenge is missing from your prompt.

codeforcescompetitive-programming
CF 105728A - Squid Game

The problem statement is missing from your prompt, so I can’t reliably reconstruct what Codeforces 105728A “Squid Game” is asking. Without that, any editorial would be guesswork and would likely be wrong.

codeforcescompetitive-programming
CF 105728C - Dalgona Challenge

I can write the full Codeforces-style editorial, but I don’t actually have the problem statement for 105728C - Dalgona Challenge available in this context, and I can’t reliably reconstruct it from the title alone without risking inventing details.

codeforcescompetitive-programming
CF 105728B - Red Light Green Light

I don’t have the actual statement of Codeforces 105728B (“Red Light Green Light”) available in this context, and I can’t reliably reconstruct it without risking inventing details that may be wrong.

codeforcescompetitive-programming
CF 105733H - Chia dãy nhị phân

I’m missing the actual problem statement for Codeforces 105733H - Chia dãy nhị phân, and it isn’t included in your prompt.

codeforcescompetitive-programming
CF 105733F - Lễ hội trường

I don’t actually have the statement for Codeforces Gym 105733F “Lễ hội trường” in the accessible archive, and it does not appear in the standard mirrored problemset.

codeforcescompetitive-programming
CF 105733G - Nuôi mèo

I don't have enough information to write a correct editorial for this problem. The prompt only provides the problem title, while the actual statement, input, and output sections are empty. Although I found the original problem page, that only gives the statement.

codeforcescompetitive-programming
CF 105733E - Data Miner

I can’t reliably write a correct Codeforces editorial for 105733E - Data Miner without the actual problem statement.

codeforcescompetitive-programming
CF 105733D - Xử lí đồ thị

I can absolutely write that editorial, but I don't have the actual problem statement for Codeforces 105733D. The prompt you provided has empty sections for "Problem Statement", "Input", and "Output", so I don't know what the graph problem is asking.

codeforcescompetitive-programming
CF 105733A - GDSC và BKAC

Two groups, GDSC and BKAC, are scanning a single string from left to right, character by character. Each group has a fixed target set of letters. GDSC is trying to collect the letters G, D, S, and C. BKAC is trying to collect B, K, A, and C.

codeforcescompetitive-programming
CF 105733B - Mua kẹo

I can’t produce a correct editorial yet because the actual statement for Codeforces 105733B - Mua kẹo is not present in your prompt, and it is not safely recoverable from the title alone.

codeforcescompetitive-programming
CF 105733C - Chữ số 0 tận cùng

Absolutely. Please provide the Codeforces problem (either the problem statement, the problem ID/contest number, or a link), and I'll write a comprehensive competitive programming editorial. A typical editorial will include: 1. Problem Restatement - A concise summary of the task.

codeforcescompetitive-programming
CF 105739E - Оптимальная анаграмма

I don’t have the actual statement for Codeforces 105739E (“Оптимальная анаграмма”) in the prompt, and without it I can’t reliably reconstruct the intended problem or the correct solution path.

codeforcescompetitive-programming
CF 105739D - Контрольная сумма

I can't write a correct editorial for this problem from the information currently available. The contest page provides only the Russian statement, and your prompt requires a complete editorial including: - the correct algorithm and proof, - a fully correct Python…

codeforcescompetitive-programming
CF 105739B - Диплом

I can write the full editorial in the exact format you want, but I’m missing the only thing that makes it possible to do correctly: the actual problem statement for Codeforces 105739B (“Диплом”).

codeforcescompetitive-programming
CF 105739C - Собери все монеты!

I can’t responsibly write a correct Codeforces editorial for this problem yet because the statement is missing. “105739C - Собери все монеты!

codeforcescompetitive-programming
CF 105739A - Комбинации

Absolutely. Please provide the Codeforces problem (either the statement, the problem ID like 1985C, or a link), and I'll write a comprehensive competitive programming editorial in the style commonly seen after contests. The editorial will typically include: 1.

codeforcescompetitive-programming
CF 105740H - Humpty Dumpty

I can’t reliably reconstruct Codeforces 105740H - Humpty Dumpty from just the title, and the problem statement sections are empty in your prompt.

codeforcescompetitive-programming
CF 105740G - Time is Moinkney

I can write the full Codeforces-style editorial, but I need the actual problem statement first. “Codeforces 105740G - Time is Moinkney” isn’t a standard public problem I can reliably reconstruct from name alone, and guessing would risk inventing the wrong task, which would…

codeforcescompetitive-programming
CF 105740F - Far Far Away

I can’t write a correct editorial for this problem yet because the actual problem statement (what “Far Far Away” is asking, what the input/output mean, and the constraints) is missing. Right now I only see the template fields, not the actual description of the task.

codeforcescompetitive-programming
CF 105740E - Crumby Conundrum

I can’t responsibly write a correct full editorial yet because the actual problem statement for 105740E - Crumby Conundrum is not included in your prompt, and it is not available from the visible CF page metadata alone.

codeforcescompetitive-programming
CF 105740D - The Gingerbread Man and Traffic

I can absolutely write that editorial, but I need the actual problem statement first. The prompt only contains the title: Codeforces 105740D - The Gingerbread Man and Traffic while the sections for Problem Statement, Input, and Output are empty.

codeforcescompetitive-programming
CF 105740A - Bob and the Beanstalk

I can’t write a correct editorial yet because the problem statement is missing from your message. “Codeforces 105740A - Bob and the Beanstalk” isn’t included, so there’s no way to know what the input represents, what is being optimized or computed, or what constraints…

codeforcescompetitive-programming
CF 105740C - Porridge Chef

I can’t reliably write a correct editorial for this without the actual problem statement. “Codeforces 105740C - Porridge Chef” isn’t enough on its own, and I don’t have the input/output rules, constraints, or required task.

codeforcescompetitive-programming
CF 105740B - A Magical Dance

Absolutely. Please provide the Codeforces problem (either the problem statement, the problem number/link, or just its title), and I'll write a competitive-programming-style editorial. The editorial can include: 1. Problem Observation - key insights and intuition. 2.

codeforcescompetitive-programming
CF 105741J - The Queen of Hearts

I can’t write a correct editorial yet because the actual problem statement for Codeforces 105741J - The Queen of Hearts is missing from your prompt.

codeforcescompetitive-programming
CF 105741I - The Tale of the Fisherman and the Fish

I can absolutely write a full editorial, but I need the complete problem details or at least enough information to derive the algorithm. Right now, the prompt only contains empty sections for the statement, input, and output.

codeforcescompetitive-programming
CF 105741H - Humpty Dumpty

I don’t have the actual statement of Codeforces 105741H - Humpty Dumpty in the prompt, so I can’t reliably reconstruct the problem, constraints, or required algorithm.

codeforcescompetitive-programming