brain

Let $mathcal{C}$ be the set of all 5-card subsets of a standard 52-card deck, and for each $C in mathcal{C}$ let the starter be a distinguished choice $k in C$.

I can’t reliably write an editorial for CF 103181H - Similarities because the actual problem statement is missing from your prompt. Without the statement, I don’t know what the inputs represent, what “similarities” refers to (strings, arrays, graphs, bitmasks, etc.

I can’t write a correct Codeforces editorial without the actual problem statement. Right now I only see the title “103181F - Relay Race”, but no description of what the relay race rules are, what the input represents, or what needs to be computed.

The function $\tau(x)$ in Section 7.

The problem statement for “Codeforces 103181E - Metrix” is not included in your message, so there isn’t enough information to write a correct editorial.

I can absolutely write this editorial in the exact format you want, but I’m missing one critical piece: the actual statement of Codeforces 103181D - Markat.

I’m missing the actual problem statement for Codeforces 103181A - Crop Circles. Without it, I can’t correctly reconstruct the task, constraints, or solution structure, and any attempt to write a full editorial would be guesswork.

I can write the full editorial in exactly that format, but I’m missing the actual problem statement for Codeforces 103181B - Convoluted Fraction.

A canonical basis $(alpha1,ldots,alphat)$ in Exercise 12 is represented in this section as a selection of $t$ distinguished positions among $n$, equivalently as an $(s,t)$-combination with $n=s+t$, encoded by a binary string $a{n-1}ldots a1a0$ satisfying $sum ai=t$.

I can write the full editorial in exactly that format, but I’m missing the actual problem statement for Codeforces 103182L - XorAnd.

I don’t have the actual statement of Codeforces 103182J - Strategy in your prompt, so I can’t reliably reconstruct the problem, constraints, or solution. Writing a correct editorial without that would require guessing, which would very likely produce a wrong algorithm.

I’m missing the actual problem statement for Codeforces 103182I - Number Spiral, and I can’t reliably reconstruct it from the title alone without risking writing the wrong editorial. Please paste the full statement (or at least input/output format + constraints + a sample).

A canonical basis $(alpha1,ldots,alphat)$ in Exercise 12 is represented in this section as a selection of $t$ distinguished positions among $n$, equivalently as an $(s,t)$-combination with $n=s+t$, encoded by a binary string $a{n-1}ldots a1a0$ satisfying $sum ai=t$.

I’m missing the actual problem statement for Codeforces 103182H - Spies. Without the description of what the “spies” are doing, what the input represents, and what needs to be computed, any editorial would be guesswork and would very likely be wrong.

The problem statement for Codeforces 103182G - SigSegv is missing from your prompt, so there isn’t enough information to reconstruct the task, constraints, or required algorithm.

I don’t have the actual statement for Codeforces 103182F - Secure documents in your prompt, so I can’t reliably derive the algorithm, constraints, or examples needed to write a correct editorial.

The prompt is missing the actual problem statement for Codeforces 103182E - PalTree, so I don’t have enough information to write a correct editorial.

I don’t have the actual statement for Codeforces 103182D - Melon Seeds in your prompt, and without it I can’t produce a correct editorial. Anything I write would risk inventing rules, which would make the explanation useless for learning or re-derivation.

The problem statement is missing from your prompt, so there’s no way to reconstruct what “Dragons” (Codeforces 103182B) is asking for.

I’m missing the actual problem statement for Codeforces 103182C - IDE, so I can’t reliably reconstruct the task or produce a correct editorial.

A canonical basis $(alpha1,ldots,alphat)$ in Exercise 12 is represented in this section as a selection of $t$ distinguished positions among $n$, equivalently as an $(s,t)$-combination with $n=s+t$, encoded by a binary string $a{n-1}ldots a1a0$ satisfying $sum ai=t$.

I don’t have the actual statement of Codeforces 103185N - Non-Integer Donuts in your prompt, and without it I’d be forced to guess the problem structure, which would make the editorial unreliable.

I can’t reliably write a correct editorial for this problem without seeing the actual statement. “Codeforces 103185L - Lola’s Schedule” isn’t included in your message, so I don’t know what the input represents, what is being optimized, or even the core task (it could…

The problem statement is missing from your prompt, so I don’t have enough information to write a correct editorial. Right now I only know the title “May I Add a Letter?”, but not: - what the input strings or data are - what operation “add a letter” refers to (insertion?

I don’t have the actual statement of Codeforces 103185K - Keylogger, and without it I’d be forced to guess the rules, which would make the editorial unreliable.

I don’t have the actual statement of Codeforces 103185I - Impenetrable Wall available in your prompt, and it’s not safe to reconstruct it from the title alone. To write a correct editorial, I need the full problem description, including input/output format and constraints.

I can’t write a correct editorial for this yet because the actual problem statement is missing. “Codeforces 103185H - Halting Wolf” isn’t enough on its own to reconstruct the task reliably, and anything I’d write without the full statement would be guesswork.

A canonical basis $(alpha1,ldots,alphat)$ in Exercise 12 is represented in this section as a selection of $t$ distinguished positions among $n$, equivalently as an $(s,t)$-combination with $n=s+t$, encoded by a binary string $a{n-1}ldots a1a0$ satisfying $sum ai=t$.

I can’t write a correct editorial for “Codeforces 103185G - Game of Slots” without the actual problem statement.

We are given a collection of candy boxes, where each box contains a number of candies that is a power of two. Instead of being given the actual counts directly, we are given exponents: the i-th box contains $2^{Ai}$ candies. Two brothers will split these boxes between them.

I’m missing the actual problem statement for Codeforces 103185F - Fascinating Partitions, so I can’t reliably reconstruct the task or derive a correct solution.

We are given a one-dimensional landscape represented by heights along a line. Each position has a height, and we want to determine which positions are “excellent viewpoints”, meaning they can be seen in an unobstructed way from at least one direction under the natural…

I can’t write a correct editorial for Codeforces 103185B “Beautiful Mountains” without the actual problem statement. Right now the prompt is missing everything that defines the task: what the input represents, what “beautiful” means, and what needs to be computed.

I can’t reliably write a correct editorial for CF 103185C - Crisis at the Wedding because the actual problem statement is missing from your prompt.

We are given a simplified but fully specified game state from Omaha Hi / Lo poker. For each test case, two players, Alice and Bob, each have four private cards, and there are five shared community cards.

We are given several independent games. Each game consists of a small collection of strings made of lowercase letters.

A World Series scenario in the sense of exercise 10 is a sequence of games between $A$ and $N$ that stops when one side reaches four wins.

We are given a sequence of integers representing card values laid out in a row. Two players, Alice and Bob, alternately pick one card per turn until all cards are taken. Alice always moves first.

We maintain three parallel arrays of length $n$, each position representing a lane on a battlefield. Initially all values are zero.

We are given a set of cars moving along a single infinite line. Each car starts at an integer position, moves with a constant integer velocity, and belongs to a type.

We are given an array of $n$ positive integers, where each value represents the “growth level” of a plant placed along a street.

We are given a multiset of students, each with an integer “height rank” where equal values mean equal height. The task is to arrange all students into two rows of equal length. If there are $n$ students, both rows contain $n/2$ positions indexed from left to right.

We are simulating a simplified fishing system where each cast produces exactly one fish according to a known probability distribution over fish types.

Let the canonical bases be represented in the form $(alpha1,dots,alphat)$ as in exercise 12, where each $alphai$ is a binary string of length $n$ with exactly one distinguished position equal to $1$.

We are given a group of students, each identified by a unique student ID and an initial score. Among them, one student is special, denoted by index m in the input order, and we call this student Xiao A.

We are given two vectors in three-dimensional space, each described by three integer coordinates. The task is to construct any non-zero integer vector that is perpendicular to both given vectors at the same time.

We are looking at repeated shots in a 2D plane where a player kicks a ball from a fixed point toward a goal represented by two posts on the x-axis. The goal is the open segment between two points on the x-axis, centered at the origin and spanning from x = −w to x = w at y = 0.

We are given a hidden permutation of length $n$, meaning the numbers from 1 to $n$ appear exactly once in some unknown order.

Let the canonical bases be represented in the form $(alpha1,dots,alphat)$ as in exercise 12, where each $alphai$ is a binary string of length $n$ with exactly one distinguished position equal to $1$.

We are given a binary string that describes a “nested structure” from the innermost layer to the outermost layer.

We are given a sequence of future exchange rates between a cryptocurrency and RMB at discrete time moments. At each moment, the price of 1 bitc is known in advance. A trader starts with zero cryptocurrency and unlimited RMB.

The task models a classic page replacement scenario from operating systems. We are given a sequence of page requests, where each request asks for a page from a fixed universe of pages. Memory has limited capacity, so it can only hold a small number of pages at once.

We are given several independent test cases. In each test case, there are several spells. Each spell consumes two kinds of resources, a red amount and a blue amount.

Let the canonical bases be represented in the form $(alpha1,dots,alphat)$ as in exercise 12, where each $alphai$ is a binary string of length $n$ with exactly one distinguished position equal to $1$.

The problem statement section is empty, so there’s not enough information to write a correct editorial. “Сортировка матрицы” could refer to several different tasks (row/column sorting, global flatten-and-sort with constraints, swaps allowed, lexicographic…

The Takagi function is defined for $0 \le x \le 1$ by \tau(x)=\sum_{k=1}^{\infty}\int_{0}^{x} r_k(t)\,dt, \qquad r_k(t)=(-1)^{\lfloor 2^k t\rfloor}.

A 3-multicombination of ${0,1,dots,n-1}$ is a weakly increasing triple $d1 le d2 le d3,qquad 0 le di le n-1.$ A universal cycle is a cyclic string $a0 a1 dots a{L-1}$ over ${0,dots,n-1}$ such that every length-3 cyclic window $(ai,a{i+1},a{i+2})quad (bmod L)$ appears exactly…

I don’t have the actual statement of Codeforces 103194A - “Прыжки по шкафам”, and without it any editorial would be guesswork rather than a faithful reconstruction of the solution.

I can’t reliably produce a correct editorial for Codeforces 103195D - “Фокус с подмножествами” without the exact statement of that specific problem.

The Takagi function is defined for $0 \le x \le 1$ by \tau(x)=\sum_{k=1}^{\infty}\int_{0}^{x} r_k(t)\,dt, \qquad r_k(t)=(-1)^{\lfloor 2^k t\rfloor}.

We are given several text strings written over the same alphabet, where the first string has a fixed maximum length $m$ and all other strings are no longer than that same bound.

Let $n=s+t$. Exercise 64 considers the set of all strings of length $n$ containing exactly $t$ asterisks and $s$ digits, where each digit is $0$ or $1$.

I can’t write a correct editorial for this yet because the actual problem statement is missing. Right now I only know the title “Плитка для ванной”, but without the rules, input/output format, and constraints, anything I write would be guesswork and would…

We are given a sequence of parcels arriving over time, where each parcel has a weight and a structural limit that behaves like a fragile stacking system.

The problem describes a dormitory building modeled as a collection of rooms connected by corridors, where each corridor connects two rooms in a tree-like structure. The building is heavily affected by cockroaches that can move freely along the connections between rooms.

Let $G$ be the multigraph whose vertices are ${0,1,2,3,4,5,6}$ and whose edges are the $28$ dominoes of the double-six set, namely one edge between $i$ and $j$ for each $0 le i le j le 6$, including one loop at each vertex.

The problem statement is missing, so there isn’t enough information to reconstruct the solution. “Codeforces 103196E - Проблема останова” alone isn’t sufficient because Codeforces problem IDs aren’t globally descriptive, and multiple problems can share…

The Takagi function is defined for $0 \le x \le 1$ by \tau(x)=\sum_{k=1}^{\infty}\int_{0}^{x} r_k(t)\,dt, \qquad r_k(t)=(-1)^{\lfloor 2^k t\rfloor}.

I can’t reliably write a correct editorial for Codeforces 103196H - “Украшение дома” without the actual problem statement.

I can write the full Codeforces-style editorial in exactly that format, but I’m missing the actual problem content for 103196G - “Тир”.

I don’t have the actual statement of Codeforces 103196B (“Проверка олимпиады”) in your prompt, so I can’t safely reconstruct or explain the solution without risking hallucinating the problem.

Let $G$ be the multigraph whose vertices are ${0,1,2,3,4,5,6}$ and whose edges are the $28$ dominoes of the double-six set, namely one edge between $i$ and $j$ for each $0 le i le j le 6$, including one loop at each vertex.

The problem statement is missing from your prompt, so I can’t reconstruct Codeforces 103196D or write a correct editorial yet. Right now I don’t know what the input represents, what operations are allowed, or what needs to be computed.

I can’t reliably write a correct Codeforces editorial for this problem yet because the actual statement (what the input describes, what needs to be computed, and the constraints) is missing.

Let $G$ be the multigraph whose vertices are ${0,1,2,3,4,5,6}$ and whose edges are the $28$ dominoes of the double-six set, namely one edge between $i$ and $j$ for each $0 le i le j le 6$, including one loop at each vertex.

I can’t write a correct editorial for “Codeforces 103202I - Rise of Shadows” without the actual problem statement. Right now the prompt only includes metadata, but no description of the rules, inputs, or required output.

Let $q$ be a primitive $m$th root of unity, so $q^m=1$ and $q^j\neq 1$ for $1\le j<m$.

Connection interrupted. Waiting for the complete answer

Let $G{s,t}$ denote the graph whose vertices are all subcubes of length $s+t$ having $s$ digits in ${0,1}$ and $t$ asterisks, with edges given by the transformations $ast 0 leftrightarrow 0ast$, $ast 1 leftrightarrow 1ast$, and $0 leftrightarrow 1$.

Let $G{s,t}$ denote the graph whose vertices are all subcubes of length $s+t$ having $s$ digits in ${0,1}$ and $t$ asterisks, with edges given by the transformations $ast 0 leftrightarrow 0ast$, $ast 1 leftrightarrow 1ast$, and $0 leftrightarrow 1$.

We are maintaining an array of size $n$, initially all zeros, where values only ever increase. However, increments are not applied uniformly. Instead, a training operation targets a value $x$ and only increments those positions that currently equal $x$ inside a segment.

I can’t write a correct editorial for this yet because the actual problem content is missing. Right now, I only see the title, but there is no statement, no input/output description, and no constraints.

I can’t produce a correct editorial for this problem yet because the actual problem statement is missing. “Codeforces 103202F - Kobolds and Catacombs” alone doesn’t contain enough information to reconstruct the task reliably.

The problem statement is missing from the prompt, so I can’t reconstruct what “Knights of the Frozen Throne” is asking for or derive a correct solution.

Connection interrupted. Waiting for the complete answer

The problem statement is missing from your prompt, so there isn’t enough information to reconstruct the task or derive a correct solution.

I can’t responsibly write a full Codeforces editorial yet because the actual problem statement for Codeforces 103202A - The Grand Tournament is missing from your prompt, and it’s not included in what you provided.

I can’t produce a correct editorial for this problem because the actual problem statement is missing. Right now I don’t know what the input represents, what transformation or query is required, or what constraints define the intended solution.

Let $[n]={0,1,\dots,n-1}$ and let $\binom{[n]}{t}$ denote the set of all $t$-combinations.

Let $n=s+t$ and let the ground positions be ${0,1,dots,n-1}$. A configuration is a word $x0x1cdots x{n-1}$ over ${0,1,ast}$ containing exactly $t$ asterisks. The set of all such configurations has size $2^sbinom{s+t}{t}$.

Let $[n]={0,1,\dots,n-1}$ and let $\binom{[n]}{t}$ denote the set of all $t$-combinations.

The problem statement for “Codeforces 103230B - Blue Puppy and UFOs” is not included in your message, so I don’t have enough information to write a correct editorial.

Let $n=s+t$ and let the ground positions be ${0,1,dots,n-1}$. A configuration is a word $x0x1cdots x{n-1}$ over ${0,1,ast}$ containing exactly $t$ asterisks. The set of all such configurations has size $2^sbinom{s+t}{t}$.

I can’t write a correct editorial for “Lattice MST” without the actual problem statement. Right now there’s no description of what the grid/lattice looks like, what edges exist, what defines the MST cost, or what inputs/outputs are.

I can’t write a correct editorial for this problem because the actual problem statement (what operations are allowed, what is given in the input, and what must be computed) is missing.

I don’t have the actual statement for Codeforces 103241W - Sol's Problem Meeting, so I can’t reconstruct the problem or derive a correct solution without guessing.

I don’t have the actual problem statement for Codeforces 103241V - Thomas Game, so I can’t correctly derive the algorithm, constraints, or examples.

The problem statement is missing from your prompt, so there is no way to derive a correct algorithm, complexity analysis, or implementation details.

I’m missing the actual problem statement, input/output description, and constraints, so I can’t reliably reconstruct the task or write a correct editorial.

The problem statement is missing, so I can’t accurately reconstruct the solution or write a correct editorial. Right now I only know the title “Kakyoin’s Painting”, but there is no information about: - what the input represents (grid, sequence, graph, etc.