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tamnd's digital brain — notes, problems, research

43815 notes

CF 1059613 - Задача C. НОДовый двигатель

The problem statement is missing from your prompt, so there’s no way to reconstruct the required logic, constraints, or even the task definition for “Задача C. НОДовый двигатель”.

codeforcescompetitive-programming
CF 1059611 - Задача A. Начало

I can’t responsibly write a full editorial yet because the actual statement of Codeforces 1059611 - A. Начало is not available in your prompt, and it is not a standard publicly indexed problem where the rules can be inferred reliably.

codeforcescompetitive-programming
CF 1059634 - Задача D. Конец

Codeforces 1059634: Задача D. Конец

codeforcescompetitive-programming
TAOCP 7.1.1 Exercise 75

We restart the proof cleanly from the axioms and avoid any assumption of symmetry or interval behavior not explicitly derived.

taocpmathematicsalgorithmsvolume-4math-project
CF 1059632 - Задача B. Казино

I can’t write a correct editorial yet because the actual problem statement for “1059632 - B. Казино” isn’t included in your prompt.

codeforcescompetitive-programming
CF 1059631 - Задача A. Качалка

I cannot reliably reconstruct Codeforces 1059631 A. Качалка from the information provided, because the actual statement is missing from the prompt and it does not appear in standard indexed problem archives in a way that uniquely identifies it.

codeforcescompetitive-programming
CF 1059633 - Задача C. Афтер пати

I can write the full editorial in that format, but I need the actual problem statement first. The identifier “Codeforces 1059633 - Задача C. Афтер пати” does not match a standard Codeforces problem ID I can reliably identify.

codeforcescompetitive-programming
CF 105971L - Bermuda Triangle

The problem describes a point moving inside a right isosceles triangle with vertices at (0,0), (0,n), and (n,0). The point starts at (x,y) and moves with velocity (vx,vy). When it touches a side of the triangle, it reflects like a ray of light.

codeforcescompetitive-programming
CF 105971M - ZP

I can write the full editorial in the exact structure you want, but I’m missing the only thing required to do it correctly: the actual problem statement.

codeforcescompetitive-programming
CF 105971J - Problematic Paths

The graph is directed and acyclic in a very strong sense: every edge goes from a smaller-numbered vertex to a larger-numbered one.

codeforcescompetitive-programming
CF 105971K - Test Task

I can’t write a correct Codeforces editorial for “105971K - Test Task” without the actual problem statement. Right now the input/output and constraints are completely missing, so any attempt to “fill it in” would just be guessing and would produce a fake solution.

codeforcescompetitive-programming
CF 105971I - B\'obr

I can write the full editorial in that format, but the problem statement is missing. I could not identify Codeforces 105971I - B'obr reliably from the title alone, and I do not want to invent an algorithm, constraints, or samples.

codeforcescompetitive-programming
CF 105971H - Vadim's Collection

I’m missing the actual problem statement for Codeforces 105971H - Vadim’s Collection, so I can’t reliably write a correct editorial yet.

codeforcescompetitive-programming
CF 105971G - Homework

We are given a sequence of pairs. Each pair consists of a position value and a weight. We process the sequence incrementally: after the first element, after the first two elements, and so on up to the full sequence.

codeforcescompetitive-programming
CF 105971F - Sports Betting

The tournament has n teams. Every pair of teams plays once, and the probability that team i defeats team j depends only on their strengths: the stronger team is more likely to win, but either result is possible.

codeforcescompetitive-programming
CF 105971D - Sasha and the Apartment Purchase

I don’t have the actual problem statement for Codeforces 105971D - Sasha and the Apartment Purchase in your prompt, so I can’t write a correct editorial yet without risking inventing details.

codeforcescompetitive-programming
CF 105971E - Baggage Claim

I can’t reliably write a correct editorial for Codeforces 105971E - Baggage Claim without the actual problem statement.

codeforcescompetitive-programming
CF 105971A - Tokens on a Graph

We have a connected undirected graph. Some vertices contain tokens and some vertices contain bonuses. A move consists of taking one token and moving it to a neighboring vertex.

codeforcescompetitive-programming
TAOCP 7.1.1 Exercise 74

Let $I(u,v) = [u \mathinner{..} v]$ be defined by (57), so that t \in I(u,v) \quad \Longleftrightarrow \quad \langle u\, t\, v\rangle = t.

taocpmathematicsalgorithmsvolume-4math-medium
CF 105971C - Clearing the Snowdrift

I can’t reliably reconstruct Codeforces 105971C (“Clearing the Snowdrift”) from the ID alone, and I don’t want to risk inventing a problem statement and producing a misleading editorial.

codeforcescompetitive-programming
CF 105971B - Lost Luggage

I don’t have the actual statement of Codeforces 105971B - Lost Luggage, only the title. Without the rules of the process, the input format, and what is being optimized or computed, any “editorial” would be guesswork and would very likely describe the wrong problem.

codeforcescompetitive-programming
TAOCP 7.1.1 Exercise 73

Let $G$ be the median graph of the median algebra $M$.

taocpmathematicsalgorithmsvolume-4math-medium
CF 105972H - Покупка абонемента

Codeforces 105972H: Покупка абонемента

codeforcescompetitive-programming
CF 105972M - Madoka and The Olympiad in Novosibirsk

I’m missing the actual problem statement for Codeforces 105972M - Madoka and The Olympiad in Novosibirsk. Right now the prompt only includes formatting instructions, but no description of: - what the input represents - what needs to be computed - constraints - sample cases…

codeforcescompetitive-programming
CF 105972L - Sasha and the Homework

I can’t reliably reconstruct Codeforces 105972L - Sasha and the Homework from available public references, and the search results do not contain the actual statement of this problem.

codeforcescompetitive-programming
CF 105972K - Formal Condition

The problem statement section is empty, so I don’t have enough information to write a correct Codeforces editorial. Please provide the full statement of Codeforces 105972K - Formal Condition (or paste the text / key rules and input-output format).

codeforcescompetitive-programming
CF 105972J - Шахматное собеседование

I’m missing the actual problem statement content for Codeforces 105972J - “Шахматное собеседование”, and without it I’d be forced to guess the rules, which would make the editorial unreliable.

codeforcescompetitive-programming
CF 105972I - Полимино

The problem statement is missing from your message, so I don’t have enough information to write a correct editorial. Please paste the full statement of Codeforces 105972I - Полимино (or at least the description of the task, input/output format, and constraints).

codeforcescompetitive-programming
CF 105972G - Безопасная работа с памятью

We are given a sequence of operations that gradually builds and destroys named objects. Some names represent variables, and others represent references that point to variables. Each name is unique across its lifetime. There are four kinds of actions.

codeforcescompetitive-programming
CF 105972E - Самолеты-самолеты

We are given an array of integers, and we need to count how many subsegments are “good” under a very specific growth-based constraint.

codeforcescompetitive-programming
CF 105972F - Путешествие по университету

I can write this, but the problem statement included in your prompt is empty and the task is large enough that I need the exact statement details to produce a correct editorial.

codeforcescompetitive-programming
TAOCP 7.1.1 Exercise 72

Let the median operation be written $\langle x,y,z\rangle$.

taocpmathematicsalgorithmsvolume-4math-medium
CF 105972D - Лекции в BOPEN SUIR

The statement for “Codeforces 105972D - Лекции в BOPEN SUIR” is not included here, and I don’t have enough information to reconstruct the problem reliably from the title alone.

codeforcescompetitive-programming
CF 105972B - Basketball

I can write the editorial, but the requested problem is the full Gym problem "B. Basketball" about projectile trajectories and screen teleportation, not the simpler basketball scoring problem.

codeforcescompetitive-programming
CF 105972C - Bitwise Characteristic of a Number

I can’t write a correct Codeforces editorial without the actual problem statement. “Bitwise Characteristic of a Number” isn’t enough to reconstruct the task reliably, and guessing would very likely produce the wrong solution and mislead anyone reading it.

codeforcescompetitive-programming
CF 105972A - Photos in Flight

I can write the full editorial in that style, but I’m missing the actual problem statement for “Codeforces 105972A - Photos in Flight”. Right now I only have the title, not the rules, input format, or what needs to be computed.

codeforcescompetitive-programming
CF 105974E - Constructive Xor

This problem from Codeforces asks us to represent query values as XORs of elements from a fixed array. We are given up to 500 numbers, each smaller than 2^60.

codeforcescompetitive-programming
TAOCP 7.1.1 Exercise 71

Let the median operation be $m(x,y,z)$ satisfying axioms $(51),(52),(59)$, where $(52)$ states full symmetry: m(x,y,z)=m(x_{\sigma(1)},x_{\sigma(2)},x_{\sigma(3)}) \quad (\sigma\in S_3).

taocpmathematicsalgorithmsvolume-4math-medium
CF 105974D - Range Xor Subsequence Query

I can’t write a correct editorial for this yet because the actual problem statement is missing. Right now I only see the title “Range Xor Subsequence Query”, but none of the definitions of: what a query asks, what a valid subsequence means in this context, how XOR is…

codeforcescompetitive-programming
CF 105974A - Distinct Xor Subsequences

We are given an array of integers and we consider all possible subsequences formed by choosing any subset of elements while preserving order. For each chosen subsequence, we compute the bitwise XOR of all its elements.

codeforcescompetitive-programming
CF 105974B - Distinct Xor Subsequence Queries

The task is to maintain a sequence while values are appended to it. After each append operation, some queries ask for the k-th smallest distinct value that can be obtained by taking any subsequence of the current sequence and XORing the chosen elements.

codeforcescompetitive-programming
CF 105974C - Distinct Xor Subsequence Queries Ⅱ

I’m missing the actual problem statement for Codeforces 105974C - Distinct Xor Subsequence Queries Ⅱ, so I can’t reliably reconstruct the task or the intended solution path.

codeforcescompetitive-programming
CF 105979K - K. K. Slider's concert

I cannot reliably reconstruct the actual statement of Codeforces Gym 105979 K - “K. K. Slider's concert” from the available context.

codeforcescompetitive-programming
CF 105979L - Lemmings's Path

Sure. Please provide the Codeforces problem statement (or a link, title, and constraints). I’ll write a detailed competitive programming editorial with: - Problem restatement - Key observations - Derivation of the algorithm - Proof of correctness - Complexity analysis -…

codeforcescompetitive-programming
CF 105979J - Justice for the Underdogs

I’m missing the actual problem statement for Codeforces 105979J - Justice for the Underdogs, so I can’t reliably reconstruct the task or derive a correct solution.

codeforcescompetitive-programming
CF 105979I - Inifinitus Sequence

The process starts with an infinite row where every position contains the same value X. During each iteration, every gap between two neighboring values receives a new value equal to the sum of the two values around that gap.

codeforcescompetitive-programming
CF 105979H - Hathsin's piths

I can’t reliably write a correct editorial without the actual problem statement. Right now the “Problem Statement / Input / Output” sections are empty, so anything I produce would be guesswork, and for Codeforces-style solutions that usually means inventing a different…

codeforcescompetitive-programming
CF 105979G - Grandmapocalipse

I can’t write a correct editorial for “Codeforces 105979G - Grandmapocalipse” because the problem statement is missing from your prompt.

codeforcescompetitive-programming
CF 105979D - Discovering Graphlandia

This problem asks us to look at a road network where every city has an energy value. Starting from a city, we may travel along roads, but we are only allowed to enter cities whose energy is not greater than the starting city's energy.

codeforcescompetitive-programming
CF 105979F - Fixing logs

I can’t reliably write a correct editorial here because the actual problem statement is missing. “Codeforces 105979F - Fixing logs” isn’t defined in your prompt, and without the rules of the problem (what a “log” is, what operations are allowed, and what needs to be…

codeforcescompetitive-programming
CF 105979E - Esoteric Computer Architecture

I’m missing the actual problem statement for Codeforces 105979E - Esoteric Computer Architecture. Right now the prompt only includes the editorial template sections (Input/Output are empty), so there’s nothing concrete to restate, analyze, or derive an algorithm from.

codeforcescompetitive-programming
CF 105979C - Chicken Jockey

I can’t produce a correct editorial yet because the actual problem statement for Codeforces 105979C - Chicken Jockey is not reliably available from the sources I can access here.

codeforcescompetitive-programming
CF 105979B - Building Skyscrapers

I’m missing the actual problem statement for “Codeforces 105979B - Building Skyscrapers”. Right now the “Problem / Input / Output” sections are empty, and without them I can’t reconstruct the task reliably.

codeforcescompetitive-programming
CF 105979A - Arithmetica's problem

I can write the full editorial in that format. The problem is very small and the full requested structure is quite long, so I will provide it as a complete editorial in the next message.

codeforcescompetitive-programming
CF 105993M - Rob And Lie

I can’t write a correct editorial yet because the actual problem statement for Codeforces 105993M - Rob And Lie is missing from your message.

codeforcescompetitive-programming
CF 105993J - Pixel Canvas

In Codeforces 105993J, the canvas is an infinite grid. Some pixels are already colored, and we want to make every cell of a given rectangle colored using as few new coloring operations as possible.

codeforcescompetitive-programming
CF 105993L - Dynamic String Array

I can’t responsibly write a correct full editorial yet because the actual statement for “Codeforces 105993L - Dynamic String Array” is not available in the prompt and it does not appear in the standard Codeforces problemset archive.

codeforcescompetitive-programming
CF 105993I - Largest Divisible by Nine

We are given a multiset of decimal digits that we are allowed to reorder arbitrarily. From these digits we want to construct the largest possible number that is divisible by nine.

codeforcescompetitive-programming
TAOCP 7.1.1 Exercise 70

The previous solution failed because it replaced the given construction of $g$ with an unrelated “two-point modification” and never analyzed the actual formula.

taocpmathematicsalgorithmsvolume-4math-project
CF 105993K - An Easy Math Problem

I can’t write a correct editorial for that problem yet because the actual statement is missing. “Codeforces 105993K - An Easy Math Problem” is not enough on its own to reconstruct the task reliably, and guessing would almost certainly lead to a wrong solution and…

codeforcescompetitive-programming
CF 105993G - Grid Game

We are working with two binary grids of the same dimensions. One grid is fixed as the target configuration, while the other starts completely empty.

codeforcescompetitive-programming
CF 105993H - Sortable Grid

Sure. Please provide the Codeforces problem statement (or a link/name), and I’ll write a detailed competitive programming editorial covering: - Problem restatement - Key observations - Derivation of the algorithm - Why naive approaches fail - Proof of correctness -…

codeforcescompetitive-programming
CF 105993F - A Problem You Will Hate More Than Yourself 2

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

codeforcescompetitive-programming
CF 105993E - Eating The Tree

I can write the editorial, but I need one clarification first: Codeforces 105993E has a constructive output (a sequence of operations), and a complete editorial depends on the exact accepted construction.

codeforcescompetitive-programming
CF 105993D - Black Nodes

I can’t produce a correct, meaningful editorial for this problem as written because the actual problem statement is missing.

codeforcescompetitive-programming
CF 105993C - Shortest Cycle

We are given a graph where cities are connected by undirected roads, and each road connects two different cities. The task is to determine the length of the shortest simple cycle in this graph.

codeforcescompetitive-programming
CF 105993B - Let's Go Swimming!

The problem gives two proposed swimming times from two judges. Each judge suggests an integer moment when they want to go swimming, and the final decision is to choose the earliest possible moment so they can still attend the contest. The task is to output that earliest time.

codeforcescompetitive-programming
CF 105993A - Olives and Water

I can absolutely write this in the requested editorial style, but I’m missing the actual problem statement for Codeforces 105993A - Olives and Water. Right now, the prompt only includes headers without any description of the task, input/output format, or constraints.

codeforcescompetitive-programming
CF 105999J - Josephus Went Wrong

Codeforces 105999J: Josephus Went Wrong

codeforcescompetitive-programming
TAOCP 7.1.1 Exercise 68

The previous solution fails because it never produces a genuine upper bound.

taocpmathematicsalgorithmsvolume-4research
TAOCP 7.1.1 Exercise 67

Let a triangular grid of order $n$ consist of all triples $(x,y,z)$ of nonnegative integers with $x+y+z=n$.

taocpmathematicsalgorithmsvolume-4hm-project
CF 105999L - Look left? Look right?

A brute-force strategy is to try every possible center $p$. For each $p$, compute how many flips are needed so that everything left of $p$ becomes $R$ and everything right becomes $L$.

codeforcescompetitive-programming
CF 105999K - Koala Harris VS Donald Trunk

I’m missing the actual problem statement for Codeforces 105999K - Koala Harris VS Donald Trunk (your prompt has empty “Problem Statement / Input / Output” sections).

codeforcescompetitive-programming
CF 105999I - Inseparable

I can’t reliably reconstruct Codeforces 105999I “Inseparable” from the ID alone, and without the actual statement any editorial would be guesswork and likely wrong. Please paste the full problem statement (or even a screenshot / partial text).

codeforcescompetitive-programming
CF 105999G - Gemini Intrusion

I can’t reliably write an editorial for “Codeforces 105999G - Gemini Intrusion” without the actual problem statement.

codeforcescompetitive-programming
CF 105999H - Harvesting Hack

Sure - send me the Codeforces problem statement (or a link/name), and I’ll write a detailed competitive programming editorial. I’ll structure it like a typical CF editorial: 1. Problem restatement / intuition 2. Key observations 3. Derivation of the algorithm 4.

codeforcescompetitive-programming
CF 105999F - Fans Only

I can’t reliably write a correct editorial for “Codeforces 105999F - Fans Only” because I don’t have the problem statement, and I shouldn’t guess the rules of the problem.

codeforcescompetitive-programming
CF 105999E - Ekimae

I can write the full editorial in that format, but I’m missing the actual problem details. The identifier “Codeforces 105999E - Ekimae” does not map to a publicly available Codeforces problem statement I can verify, so I would have to invent the rules, constraints, and…

codeforcescompetitive-programming
CF 105999D - Damage Calculator

I can’t write a correct editorial for this yet because the actual problem statement (and therefore the mechanics of “damage” calculation) is missing.

codeforcescompetitive-programming
CF 105999B - Big Mod

We are given multiple queries, each describing a base number, an exponent that can be extremely large (so large that it cannot fit into standard integer types), and a modulus.

codeforcescompetitive-programming
CF 105999A - Ace Race

The problem models a race on an infinite number line. Alice starts at position a. The prize appears at one of two possible positions, x or y, and Bob must choose a different integer starting position before knowing which one occurs.

codeforcescompetitive-programming
CF 105999C - Coin Master

I don’t have the actual problem statement for Codeforces 105999C - Coin Master, so I can’t safely reconstruct the intended solution or write a correct editorial yet.

codeforcescompetitive-programming
TAOCP 7.1.1 Exercise 66

Let $C$ be a coterie on $[n]=\{1,\dots,n\}$.

taocpmathematicsalgorithmsvolume-4math-medium
CF 106009F - Два массива

We are given two arrays of equal length, and for each index we are allowed to either keep the pair as is or swap the two values at that position.

codeforcescompetitive-programming
CF 106009E - Из Казани с любовью

I can write the editorial in that format, but I need the actual problem statement details first. Codeforces 106009E (“Из Казани с любовью”) does not have the statement text in your prompt, and the title alone is not enough for me to reliably reconstruct the…

codeforcescompetitive-programming
CF 106009A - Шашлык для методкомиссии

We are given a system that behaves like a deterministic process over a set of positions. Each position has a “next position” given by a permutation, and additionally each position carries a binary flag that may flip a state when we pass through it.

codeforcescompetitive-programming
CF 106009D - Шулер

The problem statement for Codeforces 106009D - Шулер is missing from your prompt, so I don’t have the actual task description, constraints, or examples needed to write a correct editorial.

codeforcescompetitive-programming
CF 106009C - Смайло и Minecraft

We have a mine represented as a grid. Some cells contain gold, some are blocked by stone, and some are already empty. Smilo can choose an empty cell and place a bomb there. The bomb clears a square around the chosen cell with radius k in the Chebyshev distance.

codeforcescompetitive-programming
CF 106009B - Хорошее начало

I can’t write a correct editorial for this yet because the actual problem statement for “Codeforces 106009B - Хорошее начало” is missing from your prompt.

codeforcescompetitive-programming
CF 106012A - Oil Skimming

I can write the editorial, but I need the actual problem statement details for Codeforces 106012A - Oil Skimming. I do not have the statement text available from the prompt (the sections are empty), and I do not want to invent rules, input format, or samples.

codeforcescompetitive-programming
TAOCP 7.1.1 Exercise 64

We prove both directions carefully, starting from the correct structural reading of the condition.

taocpmathematicsalgorithmsvolume-4medium
CF 106014F - Equal Node Sum

We are given a tree rooted at node 1. Every edge is initially unweighted, and we choose for each edge a binary value, either 0 or 1. Once these values are fixed, each node has a “node sum” defined as the sum of weights of all edges incident to it.

codeforcescompetitive-programming
CF 106014E - Empty Tree

I can’t reliably write an editorial for “Codeforces 106014E - Empty Tree” without the actual problem statement. That contest ID doesn’t give me enough information to reconstruct the task, and guessing would risk producing a completely incorrect solution and analysis.

codeforcescompetitive-programming
CF 106014B - Permutation We Stand

The task asks us to arrange the numbers from 1 to n into a permutation. The arrangement must have a special property: every neighboring pair except the final pair must contain numbers that are coprime, while the last two numbers must share a common divisor greater than 1.

codeforcescompetitive-programming
CF 106014A - Mystic Quest

We are missing something important: the actual statement for Codeforces Gym 106014A, Mystic Quest. The Codeforces archive page does not expose the problem text directly in the results, and without the statement there is no reliable way to reconstruct the intended solution.

codeforcescompetitive-programming
CF 106014D - Simplest Fractions

The problem statement is missing, so I can’t reliably reconstruct what “Codeforces 106014D - Simplest Fractions” is asking. For a proper editorial, I need at least the input format, output format, and the core task description.

codeforcescompetitive-programming
CF 106017L - Que es Uxiono?

The process starts with a single entity and evolves over discrete time steps, measured in minutes. At each minute, some number of new entities is added to the current total.

codeforcescompetitive-programming
CF 106017M - Impossible Numbers

Sure - send me the Codeforces problem statement (or a link/name/number), and I’ll write a detailed editorial in a competitive programming style.

codeforcescompetitive-programming
CF 106017K - Timulo and Candies

The problem statement is missing from the prompt, so I don’t have the actual task definition (what operations are allowed, what needs to be computed, or what the input/output represent).

codeforcescompetitive-programming
CF 106017I - Permátomo tasters (Hard Version)

The problem asks us to look at every ordered pair of positions in an array and compute the sum of the two chosen values. The pair (i, j) is different from (j, i), so there are exactly N² possible sums. We need to find the K-th smallest value among all of these sums.

codeforcescompetitive-programming