brain

tamnd's digital brain — notes, problems, research

41230 notes

CF 103495H - Reverse the String

We are given a string consisting only of lowercase English letters. In one move, we are allowed to pick a contiguous segment of the string and reverse it, or we may choose to leave the string unchanged.

codeforcescompetitive-programming
CF 103495G - Five Phases

We are given a system with five quantities corresponding to the five classical phases: Wood, Fire, Earth, Metal, and Water. Initially all five quantities are zero.

codeforcescompetitive-programming
CF 103495I - Fake Walsh Transform

We are given a full set of integers from 0 up to $2^m - 1$, meaning all binary masks of length $m$. From this universe we want to pick a subset of distinct numbers. The only requirement on the chosen subset is that the XOR of all chosen values must equal a fixed target value $n$.

codeforcescompetitive-programming
CF 103495F - Jumping Monkey II

We are given a tree where each node carries a numeric value. From any starting node, a monkey is allowed to walk along edges without revisiting nodes, so every valid walk corresponds to a simple path in the tree.

codeforcescompetitive-programming
CF 103495E - Stone Ocean

We are given several strings, and from each string we independently pick one character uniformly at random. If we call the chosen characters $T1, T2, dots, Tn$, then each $Ti$ is drawn from $Si$ with equal probability over its positions, and the resulting string $T$ has length…

codeforcescompetitive-programming
CF 103495D - Pattern Lock

We are given an $n times m$ grid of equally spaced points, where each point $(x, y)$ is a selectable node. The task is to output an ordering of all $n cdot m$ points such that we visit every point exactly once and move between consecutive points with straight segments.

codeforcescompetitive-programming
CF 103495B - Among Us

We are given a map of rooms connected by weighted undirected paths. Two impostors start at fixed rooms and can only move along these weighted secret paths.

codeforcescompetitive-programming
CF 103495C - Magical Rearrangement

We are given counts of digits from 0 to 9. Think of it as having a multiset of digits, where digit d appears exactly a[d] times.

codeforcescompetitive-programming
CF 103495A - Spring Couplets

We are given several independent test cases, where each test case consists of two equal-length lines of “characters”. Each character is represented as a short string ending with a digit that encodes its tone.

codeforcescompetitive-programming
CF 103496N - Nene is You

I can’t write a correct editorial for “Codeforces 103496N - Nene is You” without the actual problem statement. Right now the prompt only contains formatting instructions, but no description of what the input represents, what needs to be computed, or any constraints.

codeforcescompetitive-programming
TAOCP 7.2.1.2 Exercise 92

An (s, t)-combination $c_4 c_3 c_2 c_1$ with $t=4$ is a strictly decreasing 4-tuple n > c_4 > c_3 > c_2 > c_1 \ge 0, and the condition $c_4 - c_1 < m$ is equivalent to requiring that all selected elem...

taocpmathematicsalgorithmsvolume-4math-medium
CF 103496M - Mondrianansala

I don’t have the actual statement for Codeforces 103496M - Mondrianansala, and without it I can’t write a correct editorial. The structure, key idea, and even what is being optimized all depend on the missing problem definition.

codeforcescompetitive-programming
CF 103496L - Laser Circus

The problem statement is not included in your prompt, so there is no way to correctly reconstruct the logic, constraints, or required algorithm for Codeforces 103496L - Laser Circus.

codeforcescompetitive-programming
CF 103496K - Kaleidoscope World

I’m missing the actual problem statement for Codeforces 103496K - Kaleidoscope World. Without it, I can’t reliably reconstruct the intended task, constraints, or solution path, and any attempt to write a full editorial would risk inventing details that aren’t actually part…

codeforcescompetitive-programming
CF 103496J - Joker

I cannot find the actual Codeforces 103496J “Joker” statement in the available archive context, and it is not part of the standard public problemset in a directly accessible form.

codeforcescompetitive-programming
CF 103496I - Ice Breaker

I can’t write a correct editorial for Codeforces 103496I - Ice Breaker without the actual problem statement. Right now the prompt only includes the template (Input/Output sections are empty), so any attempt to “reconstruct” the task would be guessing, and that would…

codeforcescompetitive-programming
CF 103496H - Halcon Collider

The problem statement is missing, so I can’t derive the solution, constraints, or algorithm for Codeforces 103496H - Halcon Collider from what you’ve provided.

codeforcescompetitive-programming
CF 103496G - Galge Gamer Guy

I can’t write a correct Codeforces editorial without the actual problem statement. Right now the prompt only specifies “103496G - Galge Gamer Guy” but contains no description of the task, constraints, or input/output format.

codeforcescompetitive-programming
CF 103496F - Funny Sequence

I can’t reliably write a correct editorial for Codeforces 103496F - Funny Sequence because the actual problem statement is missing from your prompt.

codeforcescompetitive-programming
CF 103496E - Experiment - Pokémon Edition!

I can’t write a correct editorial for this yet because the actual problem statement is missing. Right now the prompt only includes the template (Input/Output sections are empty), so there’s no information about what the problem is asking, what operations are allowed, or…

codeforcescompetitive-programming
CF 103496A - Alice, Bob, and Cindy, and Dani

I can’t reliably reconstruct Codeforces 103496A (“Alice, Bob, and Cindy, and Dani”) from the title alone, and the problem statement section is empty in your prompt.

codeforcescompetitive-programming
CF 103496D - Decorum Sensing

I can’t responsibly write a correct Codeforces editorial yet because the actual problem statement for 103496D - Decorum Sensing is not present in your prompt and is not fully recoverable from the available archive snippets.

codeforcescompetitive-programming
CF 103496C - Caught in Candy

The problem statement is missing, so there isn’t enough information to reconstruct the task or write a correct Codeforces editorial. Please paste the full statement of Codeforces 103496C - Caught in Candy (including input/output and constraints).

codeforcescompetitive-programming
CF 103500E - Factors

The problem statement section is empty, so there’s no way to reconstruct what Codeforces 103500E (“Factors”) is actually asking. Right now I don’t have the input format, constraints, or the task definition, which are essential for writing a correct editorial.

codeforcescompetitive-programming
CF 103500C - eerT tuC kniL

I’m missing the actual problem statement for Codeforces 103500C - eerT tuC kniL. Without it, any editorial would require guessing the rules, which would almost certainly produce an incorrect solution.

codeforcescompetitive-programming
CF 103500D - multiverse FINALE

The problem statement is missing, so I don’t have enough information to write a correct Codeforces-style editorial. Please paste the full statement of Codeforces 103500D - multiverse FINALE (or at least the description, input/output, and constraints).

codeforcescompetitive-programming
CF 103500B - Timelines

We are given a sequence of events occurring over time, where each event involves a transformation between two entities that we can think of as nodes in a system evolving step by step.

codeforcescompetitive-programming
CF 103500A - Existence

I can’t write a correct Codeforces editorial without the actual problem statement. Right now “103500A - Existence” is referenced, but the statement section is empty, so there’s no way to know: - what inputs represent, - what condition we’re checking for…

codeforcescompetitive-programming
CF 103503B - Binary Search Search

We are given a process that behaves like a binary search routine, but with a twist: instead of searching in a fixed sorted array, we are effectively simulating how binary search behaves on a conceptual decision space.

codeforcescompetitive-programming
CF 103503C - Plates

I don’t have the actual problem statement for Codeforces 103503C - Plates in your prompt, so I can’t reliably reconstruct the intended solution or write a correct editorial.

codeforcescompetitive-programming
CF 103503A - Make Sum Great Again

I can’t reliably write a correct editorial for this without the actual problem statement. “Codeforces 103503A - Make Sum Great Again” isn’t enough on its own, and there isn’t any visible statement or constraints in your prompt.

codeforcescompetitive-programming
CF 103505A - Touch

I can’t write a correct editorial for Codeforces 103505A - Touch yet because the problem statement (input/output description and constraints) is missing from your prompt.

codeforcescompetitive-programming
CF 103505B - In Heaters

I can’t reliably write a correct editorial yet because the actual problem statement for Codeforces 103505B - In Heaters is missing from your prompt.

codeforcescompetitive-programming
CF 103505C - The revenge of GrandPaPà

The problem statement is missing from your prompt, so I can’t derive the algorithm or write a correct Codeforces-style editorial yet.

codeforcescompetitive-programming
CF 103521D - Island journey

I can’t write a correct editorial for “Island journey” yet because the actual problem statement is missing.

codeforcescompetitive-programming
CF 103521A - Как покормить дракона

We can reinterpret the situation as follows. We have a starting integer strength s and a list of enemies. Each enemy is described by two values: a threshold strength needed to survive the fight and a bonus gained after winning.

codeforcescompetitive-programming
CF 103521C - Деревня викингов

I’m missing the actual problem content for Codeforces 103521C - “Деревня викингов” (statement, input/output, constraints).

codeforcescompetitive-programming
CF 103521B - Секрет Драконьего глаза

I can’t write a correct editorial for “Codeforces 103521B - Секрет Драконьего глаза” yet because the actual problem statement (input, output, rules, constraints) is missing from your prompt.

codeforcescompetitive-programming
CF 103522D - Кот Гусь и случайная матрица

I don’t have the actual statement of Codeforces 103522D - Кот Гусь и случайная матрица, so I can’t responsibly write a correct editorial yet.

codeforcescompetitive-programming
CF 103522E - Упорядочивания

The problem statement is missing from the input, so there is no way to reconstruct the task, constraints, or required output reliably.

codeforcescompetitive-programming
CF 103522B - Рапорт

I’m missing the actual problem statement for Codeforces 103522B - “Рапорт”, so I can’t reliably reconstruct the intended solution or write a correct editorial.

codeforcescompetitive-programming
CF 103522A - Ослабление флота

The editorial request is missing the actual problem statement for Codeforces 103522A (“Ослабление флота”).

codeforcescompetitive-programming
CF 103522C - Декодирование сообщения

I can’t reliably reconstruct the full statement of Codeforces 103522C - “Декодирование сообщения” from archives alone, and anything I invent here would risk being wrong and misleading.

codeforcescompetitive-programming
TAOCP 7.2.1.2 Exercise 91

Let the set of elements be ${1,2,\dots,2n}$ and let the relations (49) specify a perfect matching, so the elements are partitioned into $n$ disjoint pairs ${x_i,y_i}$, each pair inducing a constraint...

taocpmathematicsalgorithmsvolume-4hm-medium
CF 103524D - Энергия

I’m missing the actual problem statement for Codeforces 103524D - “Энергия”, so I can’t reliably reconstruct the task or the intended solution.

codeforcescompetitive-programming
CF 103524B - IPvX

We are given a binary array, each element is either 0 or 1. We are allowed to repeatedly pick a starting position and apply an operation on a contiguous block of length three.

codeforcescompetitive-programming
CF 103524C - Наскальная живопись

The problem statement for Codeforces 103524C - “Наскальная живопись” is missing from your prompt, so I can’t reliably reconstruct the task or produce a correct editorial.

codeforcescompetitive-programming
CF 103524A - Сложная задача

I’m missing the actual problem statement for Codeforces 103524A - “Сложная задача”, so I can’t reliably reconstruct the task or write a correct editorial without guessing.

codeforcescompetitive-programming
CF 103526D - Равенство

I can write the full editorial in the exact format you specified, but I’m missing the actual problem statement for Codeforces 103526D - “Равенство”.

codeforcescompetitive-programming
CF 103526A - Рецепт мармелада

I can’t reliably reconstruct Codeforces 103526A (“Рецепт мармелада”) from the title alone, and there’s no problem statement included in your prompt.

codeforcescompetitive-programming
CF 103526C - Сеть дорог

The prompt you provided is missing the actual statement of Codeforces problem 103526C - “Сеть дорог”.

codeforcescompetitive-programming
CF 103526B - Стаканчики

The problem statement is missing from the prompt, so I don’t have enough information to reconstruct what 103526B - Стаканчики is actually asking.

codeforcescompetitive-programming
CF 1035324 - Массивы-палиндромы

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

codeforcescompetitive-programming
CF 1035321 - Чемпионат по устному счету

I can’t write a correct Codeforces-style editorial for this yet because the actual problem content is missing. Right now I only see the title “Чемпионат по устному счету”, but there is no statement, no input/output specification, and no constraints.

codeforcescompetitive-programming
CF 1035323 - Треугольная головоломка

The problem statement is missing, so I don’t have enough information to reconstruct the task or derive a correct solution.

codeforcescompetitive-programming
CF 1035322 - Прыгающий робот

I can’t reliably write a correct editorial yet because the actual problem statement is missing. Right now I only know the title “Прыгающий робот (Jumping Robot)”, but there’s no description of: - what the robot moves on (array, grid, graph, coordinates) -…

codeforcescompetitive-programming
CF 1035338 - Подарки

I can’t reliably write a correct Codeforces editorial for this because the actual problem statement is missing.

codeforcescompetitive-programming
CF 1035336 - Сортировка дробей

We are given a collection of rational numbers, each represented as a pair of integers, a numerator and a denominator.

codeforcescompetitive-programming
CF 1035337 - Оптические каналы связи

I can write the full Codeforces-style editorial, but I’m missing the actual problem statement for “1035337 - Оптические каналы связи”.

codeforcescompetitive-programming
CF 1035335 - New Year in Kindergarten

The problem statement is missing from your prompt (both the description and input/output sections are empty), so there’s no concrete task to restate or solve.

codeforcescompetitive-programming
CF 103535L - Yiwen with Sqc

We are given a string over lowercase letters. For every letter and every substring, we look at how many times that letter appears inside the substring, square that value, and add everything up.

codeforcescompetitive-programming
TAOCP 7.2.1.2 Exercise 90

Let $C(n,t,m)$ denote the graph whose vertices are all $t$-combinations $c_t\ldots c_1$ with n>c_t>\cdots>c_1\ge 0,\qquad c_t-c_1<m, and in which two vertices are adjacent when they differ in exactly...

taocpmathematicsalgorithmsvolume-4math-medium
CF 103535K - Yiwen with Formula

The problem statement is missing, so there isn’t enough information to derive the solution, constraints, or even what the task is asking. Right now we only have the title “Yiwen with Formula”, but no description of inputs, outputs, or rules.

codeforcescompetitive-programming
CF 103535J - Smzzl with Tropical Taste

The problem content for “Codeforces 103535J - Smzzl with Tropical Taste” is currently empty, so there is nothing to reconstruct or analyze yet.

codeforcescompetitive-programming
CF 103535A - Fall with Fake Problem

Let $(a{n-1},dots,a1,a0)$ be elements of the ternary reflected Gray code, so consecutive tuples differ in exactly one coordinate by $+1$ or $-1$, with all entries in ${0,1,2}$. The full sequence runs through all $3^n$ ternary $n$-tuples.

codeforcescompetitive-programming
CF 103535I - Smzzl with Safe Zone

The problem statement you provided is incomplete, so there isn’t enough information to derive a correct solution or write a meaningful editorial. Right now we only have the title “Smzzl with Safe Zone” and empty input/output sections.

codeforcescompetitive-programming
CF 103535H - Smzzl with Greedy Snake

The problem statement is missing all meaningful content beyond the title, so there is no way to derive the intended model, constraints, or solution.

codeforcescompetitive-programming
CF 103535G - Link with Limit

I can’t reliably reconstruct the editorial yet because the actual statement of Codeforces 103535G - Link with Limit is missing from your prompt, and it is not uniquely identifiable from context.

codeforcescompetitive-programming
CF 103535F - Link with Grenade

I can’t write a correct Codeforces editorial from just the title “Link with Grenade” because the actual problem statement, constraints, and operations are missing.

codeforcescompetitive-programming
CF 103535E - Link with EQ

I can’t write a correct editorial for Codeforces 103535E - Link with EQ from what you provided because the actual problem statement is missing (input/output are empty in your message).

codeforcescompetitive-programming
CF 103535D - Link with Balls

I’m missing the actual problem content for Codeforces 103535D - Link with Balls. The statement section in your prompt is empty, so there’s no way to reconstruct the rules, input/output behavior, or constraints without guessing.

codeforcescompetitive-programming
CF 103535C - Fall with Trees

I can’t reliably write an editorial from this because the actual problem content is missing. Right now, all that’s provided is the title “Fall with Trees”, but there is no statement, no input/output format, and no constraints.

codeforcescompetitive-programming
CF 103535B - Fall with Soldiers

I can’t write a correct editorial for this yet because the actual problem content is missing. Right now I only see the title “Fall with Soldiers” with empty input and output sections, which isn’t enough to reconstruct the task.

codeforcescompetitive-programming
CF 103536B - Troubles

Let $(a{n-1},dots,a1,a0)$ be elements of the ternary reflected Gray code, so consecutive tuples differ in exactly one coordinate by $+1$ or $-1$, with all entries in ${0,1,2}$. The full sequence runs through all $3^n$ ternary $n$-tuples.

codeforcescompetitive-programming
CF 103536A - Guards

The problem gives a row of prison cells arranged in a line, each cell containing a prisoner with a fixed “danger value” or intelligence score. Alongside this, there are several guards, and every cell must be assigned to exactly one guard.

codeforcescompetitive-programming
CF 103540B - Gift

Let $(a{n-1},dots,a1,a0)$ be elements of the ternary reflected Gray code, so consecutive tuples differ in exactly one coordinate by $+1$ or $-1$, with all entries in ${0,1,2}$. The full sequence runs through all $3^n$ ternary $n$-tuples.

codeforcescompetitive-programming
TAOCP 7.2.1.2 Exercise 89

Let $C(n,t,m)$ denote the graph whose vertices are all $t$-combinations $c_t\ldots c_1$ with n>c_t>\cdots>c_1\ge 0,\qquad c_t-c_1<m, and in which two vertices are adjacent when they differ in exactly...

taocpmathematicsalgorithmsvolume-4math-hard
CF 103540A - I will win

We are simulating a tournament made of exactly $n$ games, where each game independently either increases or decreases your position on a linear ranking scale. You start at rank $n+1$.

codeforcescompetitive-programming
CF 103548I - Прибытие

Let $(a{n-1},dots,a1,a0)$ be elements of the ternary reflected Gray code, so consecutive tuples differ in exactly one coordinate by $+1$ or $-1$, with all entries in ${0,1,2}$. The full sequence runs through all $3^n$ ternary $n$-tuples.

codeforcescompetitive-programming
CF 103548F - Финальная Битва

The task is about maintaining an array of integers under two kinds of operations that both modify ranges and query ranges. Each update changes every element in a segment by applying a bitwise operation with a given value: AND, OR, or XOR.

codeforcescompetitive-programming
CF 103548H - Заработок без вложений

I can absolutely write that editorial in the style you want, but the problem statement for Codeforces 103548H - “Заработок без вложений” is missing from your prompt.

codeforcescompetitive-programming
CF 103548C - Новые кампусы!

Let the initial permutation be $a1a2ldots an = x1x2ldots xn$. Algorithm P maintains, at each stage, the inversion representation $(c1,ldots,cn)$ satisfying $0 le cj < j$, together with directions $(o1,ldots,on)$, and performs one adjacent interchange in step P5 whenever it…

codeforcescompetitive-programming
CF 103548G - Гармоничные шарфы

I don’t have the actual statement for Codeforces 103548G - “Гармоничные шарфы” in your prompt, and without it I’d be forced to guess the problem structure, which would make the editorial unreliable.

codeforcescompetitive-programming
CF 103548E - Битовый хаос

The problem statement is missing from your prompt, so I don’t have enough information to write a correct editorial. For a Codeforces editorial, I need at least the full description of what operations are allowed, what the input represents, and what needs to be computed.

codeforcescompetitive-programming
CF 103548D - Древо жизни

The problem statement for Codeforces 103548D (“Древо жизни”) is not included in your message, and I don’t have reliable access to it from context alone.

codeforcescompetitive-programming
CF 103548B - Ремонт дороги

I can write the full Codeforces-style editorial, but I’m missing the actual problem statement for 103548B - “Ремонт дороги”.

codeforcescompetitive-programming
CF 103548A - Проверка

The problem statement is missing from your prompt (both the input/output description and samples are empty), so there’s no way to reconstruct what 103548A - “Проверка” is actually asking.

codeforcescompetitive-programming
CF 103551A - Оптимизация Матрицы

Let the initial permutation be $a1a2ldots an = x1x2ldots xn$. Algorithm P maintains, at each stage, the inversion representation $(c1,ldots,cn)$ satisfying $0 le cj < j$, together with directions $(o1,ldots,on)$, and performs one adjacent interchange in step P5 whenever it…

codeforcescompetitive-programming
CF 103551D - Распределенная Матрица

We are given a growing network of nodes rooted at node 1, which acts as a permanent power generator. Over time, new nodes attach themselves to already existing nodes, forming a rooted tree. Once a node is attached, its parent in this tree never changes.

codeforcescompetitive-programming
TAOCP 7.2.1.2 Exercise 88

Let $C(n,t,m)$ denote the graph whose vertices are all $t$-combinations $c_t\ldots c_1$ with n>c_t>\cdots>c_1\ge 0,\qquad c_t-c_1<m, and in which two vertices are adjacent when they differ in exactly...

taocpmathematicsalgorithmsvolume-4medium
CF 103551B - Нужно больше энергии

We are asked to count how many length n sequences can be formed where each element is an integer from 1 to x. Such a sequence is interpreted as positions of n cryo-capsules in a room, each capsule having a height coordinate along a vertical axis bounded by x.

codeforcescompetitive-programming
CF 103551C - Финальное противостояние

We are given a sequence of segments on a number line. Each segment represents the region occupied by bots during a particular wave. A consecutive group of waves corresponds to taking several of these segments and intersecting them all.

codeforcescompetitive-programming
CF 103559C - Вафелька

Let the initial permutation be $a1a2ldots an = x1x2ldots xn$. Algorithm P maintains, at each stage, the inversion representation $(c1,ldots,cn)$ satisfying $0 le cj < j$, together with directions $(o1,ldots,on)$, and performs one adjacent interchange in step P5 whenever it…

codeforcescompetitive-programming
CF 103559D - Урок арифметики

I can’t complete this properly yet because the problem statement for Codeforces 103559D - “Урок арифметики” is missing from your prompt, and it is not included in the text you provided.

codeforcescompetitive-programming
CF 103559A - Новые технологии

I’m missing the actual problem content (the statement, input/output format, and constraints). Without that, I can’t derive the solution, complexity, or edge cases in a meaningful or correct way.

codeforcescompetitive-programming
CF 103559B - Не так грубо!

The problem statement is not included in the prompt, so there is no way to reconstruct the intended task (inputs, outputs, or constraints) for Codeforces 103559B - “Не так грубо!”.

codeforcescompetitive-programming
CF 103560E - Марио и параллельный мир

The statement section for Codeforces 103560E is empty in your prompt, so there is no way to reconstruct what the problem is actually asking. An editorial depends entirely on the rules of the task, the input structure, and what needs to be optimized or computed.

codeforcescompetitive-programming
TAOCP 7.2.1.2 Exercise 87

Vertices are binary strings $a_{2t-1}\ldots a_1a_0$ with exactly $t$ ones.

taocpmathematicsalgorithmsvolume-4medium
TAOCP 7.2.1.2 Exercise 86

Vertices are binary strings $a_{2t-1}\ldots a_1a_0$ with exactly $t$ ones.

taocpmathematicsalgorithmsvolume-4medium
CF 103560F - Огород Марио

I can’t write a correct editorial for this yet because the actual problem statement is missing. Right now I only see the title and metadata (“103560F - Огород Марио”), but no description of the input, output, or rules.

codeforcescompetitive-programming