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In Takahashi Kingdom, there is an archipelago of N islands, called Takahashi Islands. For convenience, we will call them Island 1, Island 2, ..., Island N.
There are M kinds of regular boat services between these islands. Each service connects two isla... |
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Alice and Bob are playing One Card Poker.
One Card Poker is a two-player game using playing cards.
Each card in this game shows an integer between `1` and `13`, inclusive.
The strength of a card is determined by the number written on it, as follows:
W... |
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There are N participants in the CODE FESTIVAL 2016 Qualification contests. The participants are either students in Japan, students from overseas, or neither of these.
Only Japanese students or overseas students can pass the Qualification contests. The ... |
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There is one card each with the numbers from "1" to "10", for a total of 10 cards. This card has numbers on the front and nothing on the back. Using this card, you and your opponent will play the game according to the following rules.
1. You and your o... |
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Dr. Sato, a botanist, invented a number of special fertilizers for seedlings. When you give the fertilizer to the seedlings, the size of the seedlings changes in a blink of an eye. However, it was found that fertilizer has the following side effects.
*... |
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Ekiden competitions are held every year in Aizukuni. The country of Aiz is dotted with N towns, each numbered from 1 to N. Several towns are connected by roads that allow them to come and go directly to each other. You can also follow several roads betw... |
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problem
JOI took six subjects: physics, chemistry, biology, earth science, history, and geography. Each test was scored on a 100-point scale.
JOI chooses 3 subjects from 4 subjects of physics, chemistry, biology, and earth science, and 1 subject from ... |
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Seiji Hayashi had been a professor of the Nisshinkan Samurai School in the domain of Aizu for a long time in the 18th century. In order to reward him for his meritorious career in education, Katanobu Matsudaira, the lord of the domain of Aizu, had decid... |
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One of the questions children often ask is "How many stars are there in the sky?" Under ideal conditions, even with the naked eye, nearly eight thousands are observable in the northern hemisphere. With a decent telescope, you may find many more, but, as... |
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Income Inequality
We often compute the average as the first step in processing statistical data. Yes, the average is a good tendency measure of data, but it is not always the best. In some cases, the average may hinder the understanding of the data.
F... |
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Ikta, who hates to lose, has recently been enthusiastic about playing games using the Go board. However, neither Go nor Gomoku can beat my friends at all, so I decided to give a special training to the lesser-known game Phutball.
This game is a difficu... |
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problem
Given the lengths of $ 2 $ sides that are not the hypotenuse of a right triangle, $ A $ and $ B $. The side of length $ A $ overlaps the $ x $ axis, and the side of length $ B $ overlaps the $ y $ axis.
Do the following:
1. Rotate the triangl... |
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For a dynamic array $A = \\{a_0, a_1, ...\\}$ of integers, perform a sequence of the following operations:
* pushBack($x$): add element $x$ at the end of $A$
* randomAccess($p$):print element $a_p$
* popBack(): delete the last element of $A$
$A$ is ... |
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Bajtek, known for his unusual gifts, recently got an integer array x_0, x_1, β¦, x_{k-1}.
Unfortunately, after a huge array-party with his extraordinary friends, he realized that he'd lost it. After hours spent on searching for a new toy, Bajtek found o... |
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A telephone number is a sequence of exactly 11 digits such that its first digit is 8.
Vasya and Petya are playing a game. Initially they have a string s of length n (n is odd) consisting of digits. Vasya makes the first move, then players alternate tur... |
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Seryozha conducts a course dedicated to building a map of heights of Stepanovo recreation center. He laid a rectangle grid of size n Γ m cells on a map (rows of grid are numbered from 1 to n from north to south, and columns are numbered from 1 to m from... |
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You are given n chips on a number line. The i-th chip is placed at the integer coordinate x_i. Some chips can have equal coordinates.
You can perform each of the two following types of moves any (possibly, zero) number of times on any chip:
* Move t... |
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Alice got many presents these days. So she decided to pack them into boxes and send them to her friends.
There are n kinds of presents. Presents of one kind are identical (i.e. there is no way to distinguish two gifts of the same kind). Presents of dif... |
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Long is a huge fan of CFC (Codeforces Fried Chicken). But the price of CFC is increasing, so he decides to breed the chicken on his own farm.
His farm is presented by a rectangle grid with r rows and c columns. Some of these cells contain rice, others ... |
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You are given n integers. You need to choose a subset and put the chosen numbers in a beautiful rectangle (rectangular matrix). Each chosen number should occupy one of its rectangle cells, each cell must be filled with exactly one chosen number. Some of... |
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Polycarp is preparing the first programming contest for robots. There are n problems in it, and a lot of robots are going to participate in it. Each robot solving the problem i gets p_i points, and the score of each robot in the competition is calculate... |
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A lot of people associate Logo programming language with turtle graphics. In this case the turtle moves along the straight line and accepts commands "T" ("turn around") and "F" ("move 1 unit forward").
You are given a list of commands that will be give... |
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There are n piles of stones, where the i-th pile has a_i stones. Two people play a game, where they take alternating turns removing stones.
In a move, a player may remove a positive number of stones from the first non-empty pile (the pile with the mini... |
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Lately, Mr. Chanek frequently plays the game Arena of Greed. As the name implies, the game's goal is to find the greediest of them all, who will then be crowned king of Compfestnesia.
The game is played by two people taking turns, where Mr. Chanek take... |
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A sequence of non-negative integers a_1, a_2, ..., a_n is called growing if for all i from 1 to n - 1 all ones (of binary representation) in a_i are in the places of ones (of binary representation) in a_{i + 1} (in other words, a_i \:\&\: a_{i + 1} = a_... |
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After a team finished their training session on Euro football championship, Valeric was commissioned to gather the balls and sort them into baskets. Overall the stadium has n balls and m baskets. The baskets are positioned in a row from left to right an... |
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Polycarpus is an amateur businessman. Recently he was surprised to find out that the market for paper scissors is completely free! Without further ado, Polycarpus decided to start producing and selling such scissors.
Polycaprus calculated that the opti... |
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Valera has n counters numbered from 1 to n. Some of them are connected by wires, and each of the counters has a special button.
Initially, all the counters contain number 0. When you press a button on a certain counter, the value it has increases by on... |
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Manao is trying to open a rather challenging lock. The lock has n buttons on it and to open it, you should press the buttons in a certain order to open the lock. When you push some button, it either stays pressed into the lock (that means that you've gu... |
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The famous joke programming language HQ9+ has only 4 commands. In this problem we will explore its subset β a language called HQ...
Input
The only line of the input is a string between 1 and 106 characters long.
Output
Output "Yes" or "No".
Example... |
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Xenia lives in a city that has n houses built along the main ringroad. The ringroad houses are numbered 1 through n in the clockwise order. The ringroad traffic is one way and also is clockwise.
Xenia has recently moved into the ringroad house number 1... |
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The bear has a string s = s1s2... s|s| (record |s| is the string's length), consisting of lowercase English letters. The bear wants to count the number of such pairs of indices i, j (1 β€ i β€ j β€ |s|), that string x(i, j) = sisi + 1... sj contains at lea... |
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Little Chris is a huge fan of linear algebra. This time he has been given a homework about the unusual square of a square matrix.
The dot product of two integer number vectors x and y of size n is the sum of the products of the corresponding components... |
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Kuriyama Mirai has killed many monsters and got many (namely n) stones. She numbers the stones from 1 to n. The cost of the i-th stone is vi. Kuriyama Mirai wants to know something about these stones so she will ask you two kinds of questions:
1. She... |
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n participants of the competition were split into m teams in some manner so that each team has at least one participant. After the competition each pair of participants from the same team became friends.
Your task is to write a program that will find t... |
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New Year is coming in Tree World! In this world, as the name implies, there are n cities connected by n - 1 roads, and for any two distinct cities there always exists a path between them. The cities are numbered by integers from 1 to n, and the roads ar... |
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Om Nom is the main character of a game "Cut the Rope". He is a bright little monster who likes visiting friends living at the other side of the park. However the dark old parks can scare even somebody as fearless as Om Nom, so he asks you to help him.
... |
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Professor GukiZ is concerned about making his way to school, because massive piles of boxes are blocking his way.
In total there are n piles of boxes, arranged in a line, from left to right, i-th pile (1 β€ i β€ n) containing ai boxes. Luckily, m studen... |
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Almost every text editor has a built-in function of center text alignment. The developers of the popular in Berland text editor Β«TextpadΒ» decided to introduce this functionality into the fourth release of the product.
You are to implement the alignment... |
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There are b blocks of digits. Each one consisting of the same n digits, which are given to you in the input. Wet Shark must choose exactly one digit from each block and concatenate all of those digits together to form one large integer. For example, if ... |
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On her way to programming school tiger Dasha faced her first test β a huge staircase!
<image>
The steps were numbered from one to infinity. As we know, tigers are very fond of all striped things, it is possible that it has something to do with their c... |
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DO YOU EXPECT ME TO FIND THIS OUT?
WHAT BASE AND/XOR LANGUAGE INCLUDES string?
DON'T BYTE OF MORE THAN YOU CAN CHEW
YOU CAN ONLY DISTORT THE LARGEST OF MATHEMATICS SO FAR
SAYING "ABRACADABRA" WITHOUT A MAGIC AND WON'T DO YOU ANY GOOD
THE LAST STACK... |
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In the beginning of the new year Keivan decided to reverse his name. He doesn't like palindromes, so he changed Naviek to Navick.
He is too selfish, so for a given n he wants to obtain a string of n characters, each of which is either 'a', 'b' or 'c', ... |
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Vasily has a deck of cards consisting of n cards. There is an integer on each of the cards, this integer is between 1 and 100 000, inclusive. It is possible that some cards have the same integers on them.
Vasily decided to sort the cards. To do this, h... |
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You are given set of n points in 5-dimensional space. The points are labeled from 1 to n. No two points coincide.
We will call point a bad if there are different points b and c, not equal to a, from the given set such that angle between vectors <image>... |
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Once upon a time in the galaxy of far, far away...
Darth Wader found out the location of a rebels' base. Now he is going to destroy the base (and the whole planet that the base is located at), using the Death Star.
When the rebels learnt that the Deat... |
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Instructors of Some Informatics School make students go to bed.
The house contains n rooms, in each room exactly b students were supposed to sleep. However, at the time of curfew it happened that many students are not located in their assigned rooms. T... |
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Given an array A(A0, A1β¦. An-1) of n integers. Your task is to find the smallest number larger than a given no. X in the range [l,r] inclusive. Indexing is 0 based. If there is no greater no. than X in the specified range output -1.
For example: A=[1 2... |
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The Monk wants to teach all its disciples a lesson about patience, since they are always in a hurry to do something crazy. To teach them this, he gives them a list of N numbers, which may or may not be distinct. The students are supposed to solve a simp... |
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Snuke is standing on a two-dimensional plane. In one operation, he can move by 1 in the positive x-direction, or move by 1 in the positive y-direction.
Let us define a function f(r, c) as follows:
* f(r,c) := (The number of paths from the point (0, 0... |
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There is an integer sequence A of length N whose values are unknown.
Given is an integer sequence B of length N-1 which is known to satisfy the following:
B_i \geq \max(A_i, A_{i+1})
Find the maximum possible sum of the elements of A.
Constraints
*... |
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There are N bags of biscuits. The i-th bag contains A_i biscuits.
Takaki will select some of these bags and eat all of the biscuits inside. Here, it is also possible to select all or none of the bags.
He would like to select bags so that the total num... |
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Snuke has decided to play with N cards and a deque (that is, a double-ended queue). Each card shows an integer from 1 through N, and the deque is initially empty.
Snuke will insert the cards at the beginning or the end of the deque one at a time, in or... |
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One day, Snuke was given a permutation of length N, a_1, a_2, ..., a_N, from his friend.
Find the following:
<image>
Constraints
* 1 β¦ N β¦ 200,000
* (a_1, a_2, ..., a_N) is a permutation of (1, 2, ..., N).
Input
The input is given from Standard In... |
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Obesity is cited as the cause of many adult diseases. In the past, with a few exceptions, it was unrelated to high school students. However, it is no longer unrealistic to suffer from lack of exercise due to excessive studying for entrance exams, or to ... |
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Relative B came to Mr. A's house. He is 3 years old and loves blocks. The block he has is shaped like Figure 1.
<image>
Figure 1
Mr. B is laying blocks on the board. When I asked him, "What are you making?", He replied cheerfully, "Maze !!". The maze... |
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In this problem, we consider a simple programming language that has only declarations of one- dimensional integer arrays and assignment statements. The problem is to find a bug in the given program.
The syntax of this language is given in BNF as follow... |
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A rabbit Taro decided to hold a party and invite some friends as guests. He has n rabbit friends, and m pairs of rabbits are also friends with each other. Friendliness of each pair is expressed with a positive integer. If two rabbits are not friends, th... |
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For a given polygon g and target points t, print "2" if g contains t, "1" if t is on a segment of g, "0" otherwise.
g is represented by a sequence of points p1, p2,..., pn where line segments connecting pi and pi+1 (1 β€ i β€ n-1) are sides of the polygo... |
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For a sequence of integers $A = \\{a_0, a_1, ..., a_{n-1}\\}$ which is sorted by ascending order, eliminate all equivalent elements.
Constraints
* $1 \leq n \leq 100,000$
* $-1000,000,000 \leq a_i \leq 1,000,000,000$
* $a_0 \leq a_1 \leq ... \leq a_{n... |
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The executive chef is trying to bring some competitive spirit into his kitchen. He wants to split the chefs into two teams based on their age - he'll form the young and the old team. To make it fair, he will split them evenly or give the young team one ... |
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A plane is flying at a constant height of h meters above the ground surface. Let's consider that it is flying from the point (-10^9, h) to the point (10^9, h) parallel with Ox axis.
A glider is inside the plane, ready to start his flight at any moment ... |
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A non-empty string is called palindrome, if it reads the same from the left to the right and from the right to the left. For example, "abcba", "a", and "abba" are palindromes, while "abab" and "xy" are not.
A string is called a substring of another str... |
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The Squareland national forest is divided into equal 1 Γ 1 square plots aligned with north-south and east-west directions. Each plot can be uniquely described by integer Cartesian coordinates (x, y) of its south-west corner.
Three friends, Alice, Bob, ... |
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Lunar New Year is approaching, and you bought a matrix with lots of "crosses".
This matrix M of size n Γ n contains only 'X' and '.' (without quotes). The element in the i-th row and the j-th column (i, j) is defined as M(i, j), where 1 β€ i, j β€ n. We ... |
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International Women's Day is coming soon! Polycarp is preparing for the holiday.
There are n candy boxes in the shop for sale. The i-th box contains d_i candies.
Polycarp wants to prepare the maximum number of gifts for k girls. Each gift will consist... |
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This is an interactive problem.
Now Serval is a senior high school student in Japari Middle School. However, on the way to the school, he must go across a pond, in which there is a dangerous snake. The pond can be represented as a n Γ n grid. The snake... |
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You are given an array a_1, a_2, ..., a_n and an integer k.
You are asked to divide this array into k non-empty consecutive subarrays. Every element in the array should be included in exactly one subarray. Let f(i) be the index of subarray the i-th ele... |
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You are given three strings s, t and p consisting of lowercase Latin letters. You may perform any number (possibly, zero) operations on these strings.
During each operation you choose any character from p, erase it from p and insert it into string s (y... |
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There is a robot on a coordinate plane. Initially, the robot is located at the point (0, 0). Its path is described as a string s of length n consisting of characters 'L', 'R', 'U', 'D'.
Each of these characters corresponds to some move:
* 'L' (left... |
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There are n boys and m girls attending a theatre club. To set a play "The Big Bang Theory", they need to choose a group containing exactly t actors containing no less than 4 boys and no less than one girl. How many ways are there to choose a group? Of c... |
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Polycarp wants to buy exactly n shovels. The shop sells packages with shovels. The store has k types of packages: the package of the i-th type consists of exactly i shovels (1 β€ i β€ k). The store has an infinite number of packages of each type.
Polycar... |
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You have a set of n discs, the i-th disc has radius i. Initially, these discs are split among m towers: each tower contains at least one disc, and the discs in each tower are sorted in descending order of their radii from bottom to top.
You would like ... |
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You have a multiset containing several integers. Initially, it contains a_1 elements equal to 1, a_2 elements equal to 2, ..., a_n elements equal to n.
You may apply two types of operations:
* choose two integers l and r (l β€ r), then remove one occ... |
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You are given two arrays a and b, each consisting of n positive integers, and an integer x. Please determine if one can rearrange the elements of b so that a_i + b_i β€ x holds for each i (1 β€ i β€ n).
Input
The first line of input contains one integer ... |
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Petya loves lucky numbers very much. Everybody knows that lucky numbers are positive integers whose decimal record contains only the lucky digits 4 and 7. For example, numbers 47, 744, 4 are lucky and 5, 17, 467 are not.
Petya loves tickets very much. ... |
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There are many sunflowers in the Garden of the Sun.
Garden of the Sun is a rectangular table with n rows and m columns, where the cells of the table are farmlands. All of the cells grow a sunflower on it. Unfortunately, one night, the lightning stroke ... |
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Nikephoros and Polycarpus play rock-paper-scissors. The loser gets pinched (not too severely!).
Let us remind you the rules of this game. Rock-paper-scissors is played by two players. In each round the players choose one of three items independently fr... |
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There are n cities in the country where the Old Peykan lives. These cities are located on a straight line, we'll denote them from left to right as c1, c2, ..., cn. The Old Peykan wants to travel from city c1 to cn using roads. There are (n - 1) one way ... |
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Little penguin Polo likes permutations. But most of all he likes permutations of integers from 0 to n, inclusive.
For permutation p = p0, p1, ..., pn, Polo has defined its beauty β number <image>.
Expression <image> means applying the operation of bit... |
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Iahub got lost in a very big desert. The desert can be represented as a n Γ n square matrix, where each cell is a zone of the desert. The cell (i, j) represents the cell at row i and column j (1 β€ i, j β€ n). Iahub can go from one cell (i, j) only down o... |
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Valera is a little boy. Yesterday he got a huge Math hometask at school, so Valera didn't have enough time to properly learn the English alphabet for his English lesson. Unfortunately, the English teacher decided to have a test on alphabet today. At the... |
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Many students live in a dormitory. A dormitory is a whole new world of funny amusements and possibilities but it does have its drawbacks.
There is only one shower and there are multiple students who wish to have a shower in the morning. That's why eve... |
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Dreamoon is standing at the position 0 on a number line. Drazil is sending a list of commands through Wi-Fi to Dreamoon's smartphone and Dreamoon follows them.
Each command is one of the following two types:
1. Go 1 unit towards the positive direct... |
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Vasya bought the collected works of a well-known Berland poet Petya in n volumes. The volumes are numbered from 1 to n. He thinks that it does not do to arrange the book simply according to their order. Vasya wants to minimize the number of the disposit... |
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ATMs of a well-known bank of a small country are arranged so that they can not give any amount of money requested by the user. Due to the limited size of the bill dispenser (the device that is directly giving money from an ATM) and some peculiarities of... |
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In the probability theory the following paradox called Benford's law is known: "In many lists of random numbers taken from real sources, numbers starting with digit 1 occur much more often than numbers starting with any other digit" (that's the simplest... |
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While Patrick was gone shopping, Spongebob decided to play a little trick on his friend. The naughty Sponge browsed through Patrick's personal stuff and found a sequence a1, a2, ..., am of length m, consisting of integers from 1 to n, not necessarily di... |
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Professor GukiZ makes a new robot. The robot are in the point with coordinates (x1, y1) and should go to the point (x2, y2). In a single step the robot can change any of its coordinates (maybe both of them) by one (decrease or increase). So the robot ca... |
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Karlsson has visited Lillebror again. They found a box of chocolates and a big whipped cream cake at Lillebror's place. Karlsson immediately suggested to divide the sweets fairly between Lillebror and himself. Specifically, to play together a game he ha... |
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Little Artem likes electronics. He can spend lots of time making different schemas and looking for novelties in the nearest electronics store. The new control element was delivered to the store recently and Artem immediately bought it.
That element can... |
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So many wall designs to choose from! Even modulo 106 + 3, it's an enormous number. Given that recently Heidi acquired an unlimited supply of bricks, her choices are endless! She really needs to do something to narrow them down.
Heidi is quick to come u... |
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Sonya was unable to think of a story for this problem, so here comes the formal description.
You are given the array containing n positive integers. At one turn you can pick any element and increase or decrease it by 1. The goal is the make the array s... |
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Local authorities have heard a lot about combinatorial abilities of Ostap Bender so they decided to ask his help in the question of urbanization. There are n people who plan to move to the cities. The wealth of the i of them is equal to ai. Authorities ... |
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Facetook is a well known social network website, and it will launch a new feature called Facetook Priority Wall. This feature will sort all posts from your friends according to the priority factor (it will be described).
This priority factor will be af... |
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Andryusha is an orderly boy and likes to keep things in their place.
Today he faced a problem to put his socks in the wardrobe. He has n distinct pairs of socks which are initially in a bag. The pairs are numbered from 1 to n. Andryusha wants to put pa... |
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Each evening Roma plays online poker on his favourite website. The rules of poker on this website are a bit strange: there are always two players in a hand, there are no bets, and the winner takes 1 virtual bourle from the loser.
Last evening Roma star... |
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Ivan had string s consisting of small English letters. However, his friend Julia decided to make fun of him and hid the string s. Ivan preferred making a new string to finding the old one.
Ivan knows some information about the string s. Namely, he rem... |
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There are n animals in the queue to Dr. Dolittle. When an animal comes into the office, the doctor examines him, gives prescriptions, appoints tests and may appoint extra examination. Doc knows all the forest animals perfectly well and therefore knows e... |
Solve the programming task below in a Python markdown code block.
Luba has to do n chores today. i-th chore takes ai units of time to complete. It is guaranteed that for every <image> the condition ai β₯ ai - 1 is met, so the sequence is sorted.
Also Luba can work really hard on some chores. She can choose not more th... |
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