brain

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!”.

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.

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

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

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.

Let Algorithm R generate successive $t$-combinations $ct dots c2 c1$ in revolving-door order, and let $jk$ denote the index computed in step R3 on the $k$th visit, so that step R3 identifies the unique position $jk$ where the next change of the combination occurs.

We are given a box of candies where each candy belongs to some type. For each type, we can count how many candies of that type exist. From this pool, we want to assemble a “gift” by selecting some candies.

The problem statement for Codeforces 103560B - Ландшафтный дизайн is missing from your prompt, so there is no way to correctly reconstruct the logic, constraints, or required output.

I can’t write a correct editorial for “Codeforces 103560C - Гонка” without the actual problem statement.

Let Algorithm R generate successive $t$-combinations $ct dots c2 c1$ in revolving-door order, and let $jk$ denote the index computed in step R3 on the $k$th visit, so that step R3 identifies the unique position $jk$ where the next change of the combination occurs.

The problem statement section is empty, so there’s not enough information to correctly reconstruct the task or produce a valid Codeforces-style editorial.

I can’t write a correct editorial for “Codeforces 103561I - Dinner Date” because the problem statement is missing from your prompt.

We are given N uniquely identifiable M&Ms initially grouped into one pile. The game consists of repeatedly choosing a current pile of size at least two and splitting it into two smaller piles by selecting any non-empty proper subset of its elements.

We start with a rooted tree of size V, where the tree is a binary-style structure but still formally just a rooted tree. Each leaf of this tree is then paired with a corresponding leaf in a reflected copy of the same tree.

I can’t responsibly write a full Codeforces 103561F editorial yet because the problem statement is missing from your prompt, and I was not able to retrieve it from Codeforces or other indexed sources.

We are given a set of points on a 2D integer grid, and all points are observed from a fixed origin at the coordinate system’s center. From that origin, we imagine a “camera” that can only see within a wedge-shaped region defined by two rays starting at the origin.

The problem statement for Codeforces 103561E - Changing Names is missing from your prompt, so I don’t have the actual rules, inputs, or required transformations to base a correct editorial on.

Let Algorithm R generate successive $t$-combinations $ct dots c2 c1$ in revolving-door order, and let $jk$ denote the index computed in step R3 on the $k$th visit, so that step R3 identifies the unique position $jk$ where the next change of the combination occurs.

Let $\alpha = a_1 a_2 \dots a_n$ be a permutation of ${1,\dots,n}$.

I’m missing the actual problem statement for Codeforces 103562G - Radiant Ruby in your prompt, and without it I can’t reconstruct the correct model, constraints, or solution approach reliably.

The problem statement section is empty, so I don’t have the actual rules, operations, or required output for “Codeforces 103562E - Changing Names”. Without that, any editorial would necessarily be invented and would not be meaningful or correct.

I can’t reliably reconstruct Codeforces 103562D - City View from the identifier alone, and there isn’t enough information in your prompt to produce a correct editorial without risking hallucinating the problem.

The brute-force approach is exactly what the problem suggests: for each contact, convert the phone number into digits, compute their sum, and check parity. This is already optimal because every digit must be inspected at least once to know its contribution to the sum.

I can write the full editorial in exactly that style, but I’m missing one essential piece: the actual statement of Codeforces 103562C - Cinder.

I can’t write a correct editorial for this yet because the actual problem statement for Codeforces 103562B - Watch Your Sugar! is missing from your prompt.

We are given a sequence of cells numbered from 1 to n. From every cell there is exactly one deterministic jump to a cell with a larger index, so if you start from any position and repeatedly apply the jump rule, you always move strictly to the right and eventually reach cell n.

We are given a multiset of matchsticks, where each matchstick has an integer length. The same length can appear many times, and what matters is only how many times each length appears.

Let $a_{s+t-1}\dots a_1a_0$ be the binary representation of an $(s,t)$-combination, so each $a_i \in {0,1}$ and $\sum a_i = t$.

We are given a path that can be thought of as a sequence of n road segments arranged in a line between a house and a school. Somewhere along this line there is a shortest valid route from the house to the school, and its length is an integer x.

The process describes a system where plates appear in a sequence of operations, and each plate may be either used in future “requests of type 1” or never used at all.

I can’t write a correct editorial yet because the actual problem statement for “Codeforces 103566G - Полив... <<Ой!” isn’t included in your prompt.

Let $a_{s+t-1}\dots a_1a_0$ be the binary representation of an $(s,t)$-combination, so each $a_i \in {0,1}$ and $\sum a_i = t$.

Let $a_{s+t-1}\dots a_1a_0$ be the binary representation of an $(s,t)$-combination, so each $a_i \in {0,1}$ and $\sum a_i = t$.

We are given a collection of N participants, each described by three pieces of information: a potential “friend reference” Fi, a readiness flag Pi, and a timestamp Ti.

I can’t write a correct editorial for “Codeforces 103566D - Kingdoms and Alliances” because the actual problem statement is missing from your prompt. Right now I only see placeholders for the statement, input, and output sections.

The problem reduces language to a structural property of letters. Each lowercase English letter is classified only by how many “holes” it contains when drawn in a specific font used by the problem setter.

We are given two integers, representing quantities $a$ and $b$, and we need to classify their ratio into one of three coffee types based on how large $a$ is compared to $b$. Instead of working with floating-point ratios, the decision is made using inequalities.

Let $a_{s+t-1}\dots a_1a_0$ be the binary representation of an $(s,t)$-combination, so each $a_i \in {0,1}$ and $\sum a_i = t$.

We are given a line of sticks, each stick having some value or characteristic encoded in the input. A move consists of picking certain sticks according to a rule implied by the problem, and the goal is to compute the best possible outcome after performing the allowed selection…

I can’t reliably write a correct, detailed editorial for Codeforces 103633C - Yet Another Constructive Problem without the actual problem statement.

The task describes a repeated “folding” process on a discretized grid structure that comes from a checkerboard-like expansion of an $H times V$ grid into a finer lattice of vertices, edges, and cells.

Let $n=s+t$ and represent each $(s,t)$-combination as a binary string $a_{n-1}\dots a_0$ with exactly $t$ ones and $s$ zeros.

Let $a$ contain a 64-bit value whose least significant byte is $xy$ in hexadecimal, and all higher bytes are unchanged.

We are dealing with a simple exponential growth model where an initial quantity of viruses expands by a fixed multiplicative factor each second.

Let the program of Exercise 77 implement Heap’s method for generating all permutations of the $r$ elements stored in the global registers $a_0,\ldots,a_{r-1}$.

The failure in the previous attempt is not superficial.

Let $G=\mathbb{Z}_m\times \mathbb{Z}_n$, $m,n\ge 3$, and define A=(2,1),\qquad B=(1,2).

The problem describes a process where we are effectively interested in whether a specific arithmetic sequence ever produces a number divisible by a given integer $N$. The sequence is fixed and grows by a constant step, starting from a small offset: $2, 5, 8, 11, dots$.

Let $G$ be the graph whose vertices are all permutations of the multiset ${s_0\cdot 0,\ldots,s_d\cdot d}$, with edges given by adjacent interchanges $a_j a_{j-1} \leftrightarrow a_{j-1} a_j$.

Let $G$ be the Cayley graph of a group generated by two elements $\alpha$ and $\beta$ satisfying $\alpha\beta=\beta\alpha$.

We are given a deterministic two-player movement system on a grid, but instead of thinking in terms of players, it is more useful to think of it as a directed state graph over configurations.

We are given a long array of values that represent passenger flow at different time moments of the day. A “shift” is defined by three parameters: a starting time index s, a fixed number of trips k, and a constant time gap d between consecutive trips.

We are given a fixed integer $N$ and a range of integers $[L, R)$, meaning all integers $X$ such that $L le X < R$. For each such $X$, we need to determine whether it satisfies a condition involving the greatest common divisor with $N$.

We are working with an $N times N$ chessboard where each cell is colored either black or white in the usual alternating pattern. Instead of just counting cells, each cell is assigned a growing integer value, and we need the total sum of all values on the board.

We are working with a fixed geometric configuration of 12 equally spaced points placed on a circle. Each triple of distinct points forms a triangle, and we are asked to count how many of these triangles have all three interior angles strictly acute.

Let the alphabet be ${x1 < x2 < cdots < xt}$ with multiplicities $n1,ldots,nt$ and $sum{i=1}^t ni = n$. Algorithm L generates permutations in strict lexicographic order with respect to this ordered alphabet.

I don’t have the actual statement for Codeforces 103573D (“Подрыв ветряка”) in your prompt, so I can’t safely reconstruct the problem or produce a correct editorial without guessing.

I can’t reliably write a correct Codeforces-style editorial for “103573B - Биомаркеры” because the problem statement (input/output definition and constraints) is missing from your message.

I’m missing the actual problem statement for Codeforces 103573A - Стать сильнее, so I can’t responsibly write a correct editorial yet.

Let $G$ be the Cayley graph whose vertices are the $N$ permutations of the multiset ${s_0\cdot 0,\dots,s_d\cdot d}$ and whose edges correspond to adjacent interchanges $a_{\delta_k}\leftrightarrow a_{...

Let the alphabet be ${x1 < x2 < cdots < xt}$ with multiplicities $n1,ldots,nt$ and $sum{i=1}^t ni = n$. Algorithm L generates permutations in strict lexicographic order with respect to this ordered alphabet.

We are given a tree with $n$ vertices, and a palette of $k$ colors. Some vertices may already be fixed to a specific color, while others are free.

We are given two arrays of the same length. We are allowed to increase individual elements of the first array by some nonnegative amounts, and we increase the corresponding elements of the second array by the same chosen nonnegative amounts.

We are working with a rectangular grid that needs to be “painted” using two types of cells, black cells that form a structural skeleton and white cells that can be expanded freely from that skeleton.

We are interacting with an unknown secret number that is guaranteed to be prime and has a fixed digit length. The only way to obtain information is by making queries: we output a candidate number, and for each position we receive feedback indicating whether our guess matches…

We are given a tree rooted at node $1$, where every node stores a numeric value, initially $0$. Two types of operations are performed online. The first operation asks for the sum of values along the unique simple path between two nodes $u$ and $v$.

Let the multiset be $\{s_0 \cdot 0,\; s_1 \cdot 1,\; \ldots,\; s_d \cdot d\}, \qquad s_0 + s_1 + \cdots + s_d = n.$ Let $V$ be the set of all distinct permutations of this multiset.

Let the multiset be $\{s_0 \cdot 0,\; s_1 \cdot 1,\; \ldots,\; s_d \cdot d\}, \qquad s_0 + s_1 + \cdots + s_d = n.$ Let $V$ be the set of all distinct permutations of this multiset.

Let $\sigma$ and $\tau$ be the two involutions on permutations of ${1,2,\dots,n}$ given by adjacent transpositions on disjoint parity classes, in the standard TAOCP σ–τ framework, so that every step o...

We are given a rooted tree where each vertex already has an integer value. The root is node 1. Alongside the tree, we are given a list of update values. Each update lets us pick any subset of vertices and add that update value to every chosen vertex.

We are given an array that encodes a directed structure over n labeled chairs. Each index represents a chair, and each value tells us which chair is directly in front of it.

We are given two sets of points on an infinite 2D integer grid. One set contains “loose tiles” and the other contains “fixed tiles”.

We are given a simple polygon drawn on top of a rectangular grid of unit squares. Each vertex of the polygon lies on integer coordinates, and the polygon edges are straight segments between consecutive vertices.

We are given a set of $n$ problem setters and $n$ topics. Each ordered pair $(setter, topic)$ may have a cost, meaning how many hours that setter needs to prepare a problem of that topic. Only some of these pairs are available, given as $m$ entries.

Three participants move along a straight line segment from position 0 to position d. Two of them, Eli and Rafa, move independently toward the same destination d with constant speeds, but they start at different positions and have different speeds.

We are maintaining an $n times n$ binary matrix that changes over time, and after every update we must report a single summary value called the flow. The flow is defined as the number of rows that consist entirely of ones plus the number of columns that consist entirely of ones.

We are given a tree describing an open-chain molecule, meaning there are n atoms connected by n−1 bonds and there are no cycles. The task is to output a permutation of all atoms. For any such permutation, consider a fixed atom u.

Each test case gives a genome string, and we must assign a numerical score that comes from all of its contiguous substrings. For any substring, we look at how strongly its prefix pattern repeats at the end of itself.

We are given a directed weighted graph where nodes represent designated points in a swimming pool and edges represent direct swimming routes between them. Each edge has a travel time.

The input is a single string that represents a polynomial written in a compact grammar. Unlike standard algebraic notation, there are no spaces and the structure is encoded using signs, digits, the variable x, and an optional exponent marker b.

We are given one or more undirected multigraphs. Each edge connects two vertices and carries a positive integer weight.

I’m missing the actual problem statement for Codeforces 103584E - only the template is present. Without the description of the task, inputs, and outputs, I can’t reliably reconstruct the intended algorithm or write a correct editorial.

Each vertex is a permutation of the multiset ${0,0,0,1,1,1}$, hence each vertex is uniquely represented by a strictly increasing triple $c_3c_2c_1 \quad\text{with}\quad 5 \ge c_3 > c_2 > c_1 \ge 0,$ w...

The problem statement for Codeforces 103584I - Baobab is missing from your message, so I don’t have the actual rules, inputs, or task definition needed to write a correct editorial.

I cannot produce a correct editorial yet because the actual problem statement for Codeforces 103584H - Sling Trees is not present in your prompt, and it is not accessible from the information provided.

The problem statement is missing, so there isn’t enough information to reconstruct what needs to be solved. “Perfect Cacti: Part 1” alone doesn’t tell us the input format, the required output, or even the core graph or combinatorial condition the solution is supposed to…

We are given a nursery with a fixed number of tree slots, and a shop that sells several types of trees. Each type has a limited supply of identical seeds, and every seed of a type produces a tree with a fixed beauty value.

I can’t write a correct Codeforces editorial without the actual problem statement. Right now “103584F - Giant Sequoia” is just a title in the prompt, and everything else (input format, task, constraints, operations on the “giant sequoia”, etc.) is missing.

Each vertex is a permutation of the multiset ${0,0,0,1,1,1}$, hence each vertex is uniquely represented by a strictly increasing triple $c_3c_2c_1 \quad\text{with}\quad 5 \ge c_3 > c_2 > c_1 \ge 0,$ w...

Let $a{n-1}dots a1a0$ be a binary string with $sum{j=0}^{n-1} aj=t$ and define $bj=ajoplus a{j-1}$ for $1le jle n-1$. The energy is $r=sum{j=1}^{n-1} bj.$ Each $bj=1$ exactly when $ajne a{j-1}$, so $r$ equals the number of transitions in the sequence $a0,a1,dots,a{n-1}$.

I can’t reliably write a correct editorial for this yet because the full statement of Codeforces 103584D - Collecting Syrup is not actually available in what you provided, and it also isn’t present in a standard accessible form from the problemset snippet I retrieved.

Each vertex is a permutation of the multiset ${0,0,0,1,1,1}$, hence each vertex is uniquely represented by a strictly increasing triple $c_3c_2c_1 \quad\text{with}\quad 5 \ge c_3 > c_2 > c_1 \ge 0,$ w...

The problem statement is missing, so there isn’t enough information to write a correct editorial yet. “Codeforces 103584C - Redwoods” alone doesn’t tell us the actual task (tree structure, queries, DP, geometry, etc.

I can’t produce a correct editorial for this as-is because the actual problem content is missing. Right now the statement you provided only shows the title “List of Orders” with empty input/output sections, so there’s no way to know what the algorithmic task is, what…

Vertices are all permutations of the multiset ${0,0,0,1,1,1}$, equivalently all binary strings $a_5a_4a_3a_2a_1a_0$ with $\sum_{i=0}^5 a_i = 3$.

A set $V subseteq {0,1}^n$ closed under $oplus$ (bitwise addition modulo $2$) is a vector space over $mathbb{F}2$ under the usual operations. The zero vector $0^n$ belongs to $V$, and closure under $oplus$ implies closure under finite XOR-sums.

The problem statement you provided only contains the label “F” without any description of the input, output, or rules.

Let $q$ be a primitive $m$th root of unity and let N = n_1 + \cdots + n_t.

Let $q$ be a primitive $m$th root of unity and let N = n_1 + \cdots + n_t.

Let $C=(c1,c2,c3,c4,c5)$ be an ordered 5-card selection of distinct cards from a standard $52$-card deck, and let $k in {1,2,3,4,5}$ designate the starter card. The object counted is the pair $(C,k)$. Let $Sigma(C,k)$ denote the cribbage score defined by rules (i)-(v).