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Solve the programming task below in a Python markdown code block.
You are given a rectangular board of M × N squares. Also you are given an unlimited number of standard domino pieces of 2 × 1 squares. You are allowed to rotate the pieces. You are asked to place as many dominoes as possible on the board so as to meet t... |
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Polycarp has n dice d1, d2, ..., dn. The i-th dice shows numbers from 1 to di. Polycarp rolled all the dice and the sum of numbers they showed is A. Agrippina didn't see which dice showed what number, she knows only the sum A and the values d1, d2, ...,... |
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Giant chess is quite common in Geraldion. We will not delve into the rules of the game, we'll just say that the game takes place on an h × w field, and it is painted in two colors, but not like in chess. Almost all cells of the field are white and only ... |
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Gennady is one of the best child dentists in Berland. Today n children got an appointment with him, they lined up in front of his office.
All children love to cry loudly at the reception at the dentist. We enumerate the children with integers from 1 to... |
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There are n beacons located at distinct positions on a number line. The i-th beacon has position ai and power level bi. When the i-th beacon is activated, it destroys all beacons to its left (direction of decreasing coordinates) within distance bi inclu... |
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Limak is a little polar bear. He has n balls, the i-th ball has size ti.
Limak wants to give one ball to each of his three friends. Giving gifts isn't easy — there are two rules Limak must obey to make friends happy:
* No two friends can get balls o... |
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The rules of Sith Tournament are well known to everyone. n Sith take part in the Tournament. The Tournament starts with the random choice of two Sith who will fight in the first battle. As one of them loses, his place is taken by the next randomly chose... |
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There are three friend living on the straight line Ox in Lineland. The first friend lives at the point x1, the second friend lives at the point x2, and the third friend lives at the point x3. They plan to celebrate the New Year together, so they need to... |
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Jon fought bravely to rescue the wildlings who were attacked by the white-walkers at Hardhome. On his arrival, Sam tells him that he wants to go to Oldtown to train at the Citadel to become a maester, so he can return and take the deceased Aemon's place... |
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There are n cities situated along the main road of Berland. Cities are represented by their coordinates — integer numbers a1, a2, ..., an. All coordinates are pairwise distinct.
It is possible to get from one city to another only by bus. But all buses ... |
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On his trip to Luxor and Aswan, Sagheer went to a Nubian market to buy some souvenirs for his friends and relatives. The market has some strange rules. It contains n different items numbered from 1 to n. The i-th item has base cost ai Egyptian pounds. I... |
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Your friend has n cards.
You know that each card has a lowercase English letter on one side and a digit on the other.
Currently, your friend has laid out the cards on a table so only one side of each card is visible.
You would like to know if the fol... |
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Arcady is a copywriter. His today's task is to type up an already well-designed story using his favorite text editor.
Arcady types words, punctuation signs and spaces one after another. Each letter and each sign (including line feed) requires one keybo... |
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The stardate is 1977 and the science and art of detecting Death Stars is in its infancy. Princess Heidi has received information about the stars in the nearby solar system from the Rebel spies and now, to help her identify the exact location of the Deat... |
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My flatmate, Sayan, once invited all his relatives and friends from all over the city to join him on his birthday party.
He is also famous for boasting that all his friends and relatives belong to "proper" families.
Now, he appointed a gaurd to allow on... |
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Little Bear has received a home assignment to find the sum of all digits in a number N. Following his affinity towards single digit number, he intends to repeatedly compute the sum of all digits until the sum itself becomes a single digit number.
Can y... |
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Singh is getting bored at work. He has a lot of ideas (N) to work on (as side projects) but is unable to choose one.
He chooses a random number (R) and lines up his ideas in a circle. He starts counting from first and removes the R^th idea in the circl... |
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Takahashi has a deposit of 100 yen (the currency of Japan) in AtCoder Bank.
The bank pays an annual interest rate of 1 % compounded annually. (A fraction of less than one yen is discarded.)
Assuming that nothing other than the interest affects Takahas... |
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There are N+1 towns. The i-th town is being attacked by A_i monsters.
We have N heroes. The i-th hero can defeat monsters attacking the i-th or (i+1)-th town, for a total of at most B_i monsters.
What is the maximum total number of monsters the heroes... |
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You are given a string S of length N. Among its subsequences, count the ones such that all characters are different, modulo 10^9+7. Two subsequences are considered different if their characters come from different positions in the string, even if they a... |
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You are given integers N and M.
Consider a sequence a of length N consisting of positive integers such that a_1 + a_2 + ... + a_N = M. Find the maximum possible value of the greatest common divisor of a_1, a_2, ..., a_N.
Constraints
* All values in i... |
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Find the smallest possible sum of the digits in the decimal notation of a positive multiple of K.
Constraints
* 2 \leq K \leq 10^5
* K is an integer.
Input
Input is given from Standard Input in the following format:
K
Output
Print the smallest ... |
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There are a total of W x H squares, with H rows vertically and W columns horizontally. Some squares are marked. Create a program that reads the marked state of each square and outputs the maximum rectangular area consisting of only the unmarked squares.... |
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There are n sheets of square paper of the same size. Align the bottom of these papers horizontally and arrange them in several rows. However, adjacent rows must be arranged so that the left side is not lower than the right side. For example, n When = 5,... |
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Mathematical expressions appearing in old papers and old technical articles are printed with typewriter in several lines, where a fixed-width or monospaced font is required to print characters (digits, symbols and spaces). Let us consider the following ... |
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Heiankyo is known as a town with a grid of roads.
Hokusai, a cat who lives in Heiankyo, has to go from his home to a secret place on the outskirts of town every day for patrol. However, I get tired of following the same path every day, and there is a r... |
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Today's Random Number
E869120 You ran a campaign called "Today's Random Numbers" for N days. This is a project to generate a random number once a day and post the value on Twitter.
The "random numbers of the day" on day $ 1, 2, 3, \ dots, N $ were $ A... |
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Natasha travels around Mars in the Mars rover. But suddenly it broke down, namely — the logical scheme inside it. The scheme is an undirected tree (connected acyclic graph) with a root in the vertex 1, in which every leaf (excluding root) is an input, a... |
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Once upon a time there was only one router in the well-known company Bmail. Years went by and over time new routers were purchased. Every time they bought a new router, they connected it to one of the routers bought before it. You are given the values p... |
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Petya loves lucky numbers. We all know that lucky numbers are the positive integers whose decimal representations contain only the lucky digits 4 and 7. For example, numbers 47, 744, 4 are lucky and 5, 17, 467 are not.
Petya got an array consisting of ... |
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Toad Ivan has m pairs of integers, each integer is between 1 and n, inclusive. The pairs are (a_1, b_1), (a_2, b_2), …, (a_m, b_m).
He asks you to check if there exist two integers x and y (1 ≤ x < y ≤ n) such that in each given pair at least one inte... |
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Omkar is building a house. He wants to decide how to make the floor plan for the last floor.
Omkar's floor starts out as n rows of m zeros (1 ≤ n,m ≤ 100). Every row is divided into intervals such that every 0 in the row is in exactly 1 interval. For e... |
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Have you ever used the chat application QQ? Well, in a chat group of QQ, administrators can muzzle a user for days.
In Boboniu's chat group, there's a person called Du Yi who likes to make fun of Boboniu every day.
Du will chat in the group for n days... |
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There are n detachments on the surface, numbered from 1 to n, the i-th detachment is placed in a point with coordinates (x_i, y_i). All detachments are placed in different points.
Brimstone should visit each detachment at least once. You can choose the... |
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You are given a positive (greater than zero) integer n.
You have to represent n as the sum of integers (possibly negative) consisting only of ones (digits '1'). For example, 24 = 11 + 11 + 1 + 1 and 102 = 111 - 11 + 1 + 1.
Among all possible represen... |
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You have a card deck of n cards, numbered from top to bottom, i. e. the top card has index 1 and bottom card — index n. Each card has its color: the i-th card has color a_i.
You should process q queries. The j-th query is described by integer t_j. For ... |
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There are n people participating in some contest, they start participating in x minutes intervals. That means the first participant starts at time 0, the second participant starts at time x, the third — at time 2 ⋅ x, and so on.
Duration of contest is ... |
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As you very well know, the whole Universe traditionally uses three-dimensional Cartesian system of coordinates. In this system each point corresponds to three real coordinates (x, y, z). In this coordinate system, the distance between the center of the ... |
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The Little Elephant loves permutations of integers from 1 to n very much. But most of all he loves sorting them. To sort a permutation, the Little Elephant repeatedly swaps some elements. As a result, he must receive a permutation 1, 2, 3, ..., n.
This... |
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You're a mikemon breeder currently in the middle of your journey to become a mikemon master. Your current obstacle is go through the infamous Biridian Forest.
The forest
The Biridian Forest is a two-dimensional grid consisting of r rows and c columns.... |
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One day Jeff got hold of an integer sequence a1, a2, ..., an of length n. The boy immediately decided to analyze the sequence. For that, he needs to find all values of x, for which these conditions hold:
* x occurs in sequence a.
* Consider all po... |
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Vanya got n cubes. He decided to build a pyramid from them. Vanya wants to build the pyramid as follows: the top level of the pyramid must consist of 1 cube, the second level must consist of 1 + 2 = 3 cubes, the third level must have 1 + 2 + 3 = 6 cubes... |
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Vasya collects coins: he has exactly one coin for every year from 1 to n. Naturally, Vasya keeps all the coins in his collection in the order in which they were released. Once Vasya's younger brother made a change — he took all the coins whose release y... |
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You are given n segments on the coordinate axis Ox and the number k. The point is satisfied if it belongs to at least k segments. Find the smallest (by the number of segments) set of segments on the coordinate axis Ox which contains all satisfied points... |
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Every Codeforces user has rating, described with one integer, possibly negative or zero. Users are divided into two divisions. The first division is for users with rating 1900 or higher. Those with rating 1899 or lower belong to the second division. In ... |
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Pupils decided to go to amusement park. Some of them were with parents. In total, n people came to the park and they all want to get to the most extreme attraction and roll on it exactly once.
Tickets for group of x people are sold on the attraction, t... |
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In some game by Playrix it takes t minutes for an oven to bake k carrot cakes, all cakes are ready at the same moment t minutes after they started baking. Arkady needs at least n cakes to complete a task, but he currently don't have any. However, he has... |
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Sometimes Mister B has free evenings when he doesn't know what to do. Fortunately, Mister B found a new game, where the player can play against aliens.
All characters in this game are lowercase English letters. There are two players: Mister B and his c... |
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This is an interactive problem.
You are given a sorted in increasing order singly linked list. You should find the minimum integer in the list which is greater than or equal to x.
More formally, there is a singly liked list built on an array of n elem... |
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Attention: we lost all the test cases for this problem, so instead of solving the problem, we need you to generate test cases. We're going to give you the answer, and you need to print a test case that produces the given answer. The original problem is ... |
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You are preparing for an exam on scheduling theory. The exam will last for exactly T milliseconds and will consist of n problems. You can either solve problem i in exactly ti milliseconds or ignore it and spend no time. You don't need time to rest after... |
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Ancient Egyptians are known to have used a large set of symbols <image> to write on the walls of the temples. Fafa and Fifa went to one of the temples and found two non-empty words S1 and S2 of equal lengths on the wall of temple written one below the o... |
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Magnus decided to play a classic chess game. Though what he saw in his locker shocked him! His favourite chessboard got broken into 4 pieces, each of size n by n, n is always odd. And what's even worse, some squares were of wrong color. j-th square of t... |
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Walking along a riverside, Mino silently takes a note of something.
"Time," Mino thinks aloud.
"What?"
"Time and tide wait for no man," explains Mino. "My name, taken from the river, always reminds me of this."
"And what are you recording?"
"You se... |
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A particular name-recording system is used by N employees of a firm. Everyday, they have to enter their names into the system.
To make it easier to control the system, each employee has his/her name presented as a string of lowercase letters from 'a' t... |
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Roy has played a lot of Mario that he got bored of playing it again and again. So now he wants to design a stage of Mario game.
Right now he is simply designing a group of walls using bricks that little Mario has to cross over. Little Mario cannot jump... |
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Anton and Artur are old friends. Today they practice in writing strings. Anton must write each string with the lengths exactly N , based on the alphabet of size M . And Arthur, on the contrary, should write each string with the lengths exactly M , ba... |
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M-kun is a competitor in AtCoder, whose highest rating is X.
In this site, a competitor is given a kyu (class) according to his/her highest rating. For ratings from 400 through 1999, the following kyus are given:
* From 400 through 599: 8-kyu
* From 60... |
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Given is a positive integer L. Find the maximum possible volume of a rectangular cuboid whose sum of the dimensions (not necessarily integers) is L.
Constraints
* 1 ≤ L ≤ 1000
* L is an integer.
Input
Input is given from Standard Input in the follow... |
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X and A are integers between 0 and 9 (inclusive).
If X is less than A, print 0; if X is not less than A, print 10.
Constraints
* 0 \leq X, A \leq 9
* All values in input are integers.
Input
Input is given from Standard Input in the following format... |
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You are given three strings A, B and C. Each of these is a string of length N consisting of lowercase English letters.
Our objective is to make all these three strings equal. For that, you can repeatedly perform the following operation:
* Operation: C... |
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Takahashi has decided to distribute N AtCoder Crackers to K users of as evenly as possible. When all the crackers are distributed, find the minimum possible (absolute) difference between the largest number of crackers received by a user and the smallest... |
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There are N balls in the xy-plane. The coordinates of the i-th of them is (x_i, i). Thus, we have one ball on each of the N lines y = 1, y = 2, ..., y = N.
In order to collect these balls, Snuke prepared 2N robots, N of type A and N of type B. Then, he... |
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Three poles stand evenly spaced along a line. Their heights are a, b and c meters, from left to right. We will call the arrangement of the poles beautiful if the tops of the poles lie on the same line, that is, b-a = c-b.
Determine whether the arrangem... |
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Given a sequence of numbers a1, a2, a3, ..., an, find the maximum sum of a contiguous subsequence of those numbers. Note that, a subsequence of one element is also a contiquous subsequence.
Input
The input consists of multiple datasets. Each data se... |
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Create a program to determine the positional relationship between a triangle and a circle on a plane. All target figures shall include boundaries. The triangle is given the position of three vertices, and the circle is given the position of the center a... |
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Welcome to PC Koshien, players. At PC Koshien, competitions are currently being held in a total of three categories: programming category, mobile category, and Ichimai's picture CG category.
Given the number of participants in each department, create a... |
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problem
There are fine icicles under the eaves of JOI's house in Canada. Because of this, JOI decided to investigate the icicles.
There are N (2 ≤ N ≤ 100000 = 105) icicles under the eaves of JOI's house. These icicles are aligned and i cm (1 ≤ i ≤ N)... |
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Evil organizations that attempt to conquer the world are everywhere, regardless of age, east or west fiction, non-fiction, but what on earth did they try to conquer the world? I suddenly thought about that because I was also planning to conquer the worl... |
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Problem
Gaccho owns an N-sided field and M potatoes. Each field is numbered from 1 to N. Gaccho wants to increase the number of potatoes by planting and harvesting potatoes in the field.
Gaccho lives alone and can only manage fields up to the K side. ... |
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There is a grid that consists of W \times H cells. The upper-left-most cell is (1, 1). You are standing on the cell of (1,1) and you are going to move to cell of (W, H). You can only move to adjacent lower-left, lower or lower-right cells.
There are ob... |
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You are given a tree $T$ and an integer $K$. You can choose arbitrary distinct two vertices $u$ and $v$ on $T$. Let $P$ be the simple path between $u$ and $v$. Then, remove vertices in $P$, and edges such that one or both of its end vertices is in $P$ f... |
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Find places where a string P is found within a text T. Print all indices of T where P found. The indices of T start with 0.
Constraints
* 1 ≤ length of T ≤ 1000
* 1 ≤ length of P ≤ 1000
* The input consists of alphabetical characters and digits
Input... |
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Write a program which reads a rectangle and a circle, and determines whether the circle is arranged inside the rectangle. As shown in the following figures, the upper right coordinate $(W, H)$ of the rectangle and the central coordinate $(x, y)$ and rad... |
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You are given a ternary string (it is a string which consists only of characters '0', '1' and '2').
You can swap any two adjacent (consecutive) characters '0' and '1' (i.e. replace "01" with "10" or vice versa) or any two adjacent (consecutive) charact... |
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You are given an array a of length n that consists of zeros and ones.
You can perform the following operation multiple times. The operation consists of two steps:
1. Choose three integers 1 ≤ x < y < z ≤ n, that form an arithmetic progression (y - ... |
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Egor came up with a new chips puzzle and suggests you to play.
The puzzle has the form of a table with n rows and m columns, each cell can contain several black or white chips placed in a row. Thus, the state of the cell can be described by a string co... |
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Vasya has a tree consisting of n vertices with root in vertex 1. At first all vertices has 0 written on it.
Let d(i, j) be the distance between vertices i and j, i.e. number of edges in the shortest path from i to j. Also, let's denote k-subtree of ver... |
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Input
The input contains a single integer a (1 ≤ a ≤ 99).
Output
Output "YES" or "NO".
Examples
Input
5
Output
YES
Input
13
Output
NO
Input
24
Output
NO
Input
46
Output
YES
The input will be give
Read the inputs fr... |
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There are n students in the first grade of Nlogonia high school. The principal wishes to split the students into two classrooms (each student must be in exactly one of the classrooms). Two distinct students whose name starts with the same letter will be... |
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The only difference between easy and hard versions is the length of the string.
You are given a string s and a string t, both consisting only of lowercase Latin letters. It is guaranteed that t can be obtained from s by removing some (possibly, zero) n... |
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When Serezha was three years old, he was given a set of cards with letters for his birthday. They were arranged into words in the way which formed the boy's mother favorite number in binary notation. Serezha started playing with them immediately and shu... |
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Constanze is the smartest girl in her village but she has bad eyesight.
One day, she was able to invent an incredible machine! When you pronounce letters, the machine will inscribe them onto a piece of paper. For example, if you pronounce 'c', 'o', 'd'... |
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A string is called beautiful if no two consecutive characters are equal. For example, "ababcb", "a" and "abab" are beautiful strings, while "aaaaaa", "abaa" and "bb" are not.
Ahcl wants to construct a beautiful string. He has a string s, consisting of ... |
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Kuroni is the coordinator of the next Mathforces round written by the "Proof by AC" team. All the preparation has been done, and he is discussing with the team about the score distribution for the round.
The round consists of n problems, numbered from ... |
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Little Petya very much likes playing with little Masha. Recently he has received a game called "Zero-One" as a gift from his mother. Petya immediately offered Masha to play the game with him.
Before the very beginning of the game several cards are lain... |
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This is an interactive problem.
Omkar has just come across a duck! The duck is walking on a grid with n rows and n columns (2 ≤ n ≤ 25) so that the grid contains a total of n^2 cells. Let's denote by (x, y) the cell in the x-th row from the top and the... |
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— Hey folks, how do you like this problem?
— That'll do it.
BThero is a powerful magician. He has got n piles of candies, the i-th pile initially contains a_i candies. BThero can cast a copy-paste spell as follows:
1. He chooses two piles (i, j) ... |
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You are given a matrix a of size n × m consisting of integers.
You can choose no more than \left⌊m/2\right⌋ elements in each row. Your task is to choose these elements in such a way that their sum is divisible by k and this sum is the maximum.
In othe... |
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After your debut mobile game "Nim" blew up, you decided to make a sequel called "Nim 2". This game will expand on the trusted Nim game formula, adding the much awaited second heap!
In the game, there are two heaps, each containing a non-negative numbe... |
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One day you wanted to read something, so you went to your bookshelf to grab some book. But when you saw how messy the bookshelf was you decided to clean it up first.
<image>
There are n books standing in a row on the shelf, the i-th book has color a_i... |
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Two players play a game. The game is played on a rectangular board with n × m squares. At the beginning of the game two different squares of the board have two chips. The first player's goal is to shift the chips to the same square. The second player ai... |
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The Little Elephant loves sortings.
He has an array a consisting of n integers. Let's number the array elements from 1 to n, then the i-th element will be denoted as ai. The Little Elephant can make one move to choose an arbitrary pair of integers l an... |
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Once Bob needed to find the second order statistics of a sequence of integer numbers. Lets choose each number from the sequence exactly once and sort them. The value on the second position is the second order statistics of the given sequence. In other w... |
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Petya has got 2n cards, each card contains some integer. The numbers on the cards can be the same. Let's index all cards by consecutive integers from 1 to 2n. We'll denote the number that is written on a card with number i, as ai. In order to play one e... |
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Iahub and Iahubina went to a date at a luxury restaurant. Everything went fine until paying for the food. Instead of money, the waiter wants Iahub to write a Hungry sequence consisting of n integers.
A sequence a1, a2, ..., an, consisting of n integer... |
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When new students come to the Specialized Educational and Scientific Centre (SESC) they need to start many things from the beginning. Sometimes the teachers say (not always unfairly) that we cannot even count. So our teachers decided to teach us arithme... |
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During the "Russian Code Cup" programming competition, the testing system stores all sent solutions for each participant. We know that many participants use random numbers in their programs and are often sent several solutions with the same source code ... |
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Ann has recently started commuting by subway. We know that a one ride subway ticket costs a rubles. Besides, Ann found out that she can buy a special ticket for m rides (she can buy it several times). It costs b rubles. Ann did the math; she will need t... |
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A traveler is planning a water hike along the river. He noted the suitable rest points for the night and wrote out their distances from the starting point. Each of these locations is further characterized by its picturesqueness, so for the i-th rest poi... |
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