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app_data_1700
A string is called bracket sequence if it does not contain any characters other than "(" and ")". A bracket sequence is called regular (shortly, RBS) if it is possible to obtain correct arithmetic expression by inserting characters "+" and "1" into this sequence. For example, "", "(())" and "()()" are RBS and ")(" and ...
app_data_1701
As the guys fried the radio station facilities, the school principal gave them tasks as a punishment. Dustin's task was to add comments to nginx configuration for school's website. The school has n servers. Each server has a name and an ip (names aren't necessarily unique, but ips are). Dustin knows the ip and name of ...
app_data_1702
Vasya and Petya take part in a Codeforces round. The round lasts for two hours and contains five problems. For this round the dynamic problem scoring is used. If you were lucky not to participate in any Codeforces round with dynamic problem scoring, here is what it means. The maximum point value of the problem depends...
app_data_1703
A bracket sequence is a string containing only characters "(" and ")". A regular bracket sequence is a bracket sequence that can be transformed into a correct arithmetic expression by inserting characters "1" and "+" between the original characters of the sequence. For example, bracket sequences "()()", "(())" are reg...
app_data_1704
Denis, after buying flowers and sweets (you will learn about this story in the next task), went to a date with Nastya to ask her to become a couple. Now, they are sitting in the cafe and finally... Denis asks her to be together, but ... Nastya doesn't give any answer. The poor boy was very upset because of that. He w...
app_data_1705
Three years have passes and nothing changed. It is still raining in London, and Mr. Black has to close all the doors in his home in order to not be flooded. Once, however, Mr. Black became so nervous that he opened one door, then another, then one more and so on until he opened all the doors in his house. There are ex...
app_data_1706
Ringo found a string $s$ of length $n$ in his yellow submarine. The string contains only lowercase letters from the English alphabet. As Ringo and his friends love palindromes, he would like to turn the string $s$ into a palindrome by applying two types of operations to the string. The first operation allows him to c...
app_data_1707
The legend of the foundation of Vectorland talks of two integers $x$ and $y$. Centuries ago, the array king placed two markers at points $|x|$ and $|y|$ on the number line and conquered all the land in between (including the endpoints), which he declared to be Arrayland. Many years later, the vector king placed markers...
app_data_1708
Lunar New Year is approaching, and Bob is planning to go for a famous restaurant — "Alice's". The restaurant "Alice's" serves $n$ kinds of food. The cost for the $i$-th kind is always $c_i$. Initially, the restaurant has enough ingredients for serving exactly $a_i$ dishes of the $i$-th kind. In the New Year's Eve, $m$...
app_data_1709
ZS the Coder and Chris the Baboon has arrived at Udayland! They walked in the park where n trees grow. They decided to be naughty and color the trees in the park. The trees are numbered with integers from 1 to n from left to right. Initially, tree i has color c_{i}. ZS the Coder and Chris the Baboon recognizes only m ...
app_data_1710
Nastya received one more array on her birthday, this array can be used to play a traditional Byteland game on it. However, to play the game the players should first select such a subsegment of the array that $\frac{p}{s} = k$, where p is the product of all integers on the given array, s is their sum, and k is a given c...
app_data_1711
Your task is to calculate the number of arrays such that: each array contains $n$ elements; each element is an integer from $1$ to $m$; for each array, there is exactly one pair of equal elements; for each array $a$, there exists an index $i$ such that the array is strictly ascending before the $i$-th element and s...
app_data_1712
Vanya and his friend Vova play a computer game where they need to destroy n monsters to pass a level. Vanya's character performs attack with frequency x hits per second and Vova's character performs attack with frequency y hits per second. Each character spends fixed time to raise a weapon and then he hits (the time to...
app_data_1713
Petya and Vasya are playing a game. Petya's got n non-transparent glasses, standing in a row. The glasses' positions are indexed with integers from 1 to n from left to right. Note that the positions are indexed but the glasses are not. First Petya puts a marble under the glass in position s. Then he performs some (pos...
app_data_1714
A permutation p is an ordered group of numbers p_1, p_2, ..., p_{n}, consisting of n distinct positive integers, each is no more than n. We'll define number n as the length of permutation p_1, p_2, ..., p_{n}. Simon has a positive integer n and a non-negative integer k, such that 2k ≤ n. Help him find perm...
app_data_1715
Along a road running in an east-west direction, there are A shrines and B temples. The i-th shrine from the west is located at a distance of s_i meters from the west end of the road, and the i-th temple from the west is located at a distance of t_i meters from the west end of the road. Answer the following Q queries: ...
app_data_1716
In Takahashi Kingdom, there is a east-west railroad and N cities along it, numbered 1, 2, 3, ..., N from west to east. A company called AtCoder Express possesses M trains, and the train i runs from City L_i to City R_i (it is possible that L_i = R_i). Takahashi the king is interested in the following Q matters: - The ...
app_data_1717
We have an integer N. Print an integer x between N and 10^{13} (inclusive) such that, for every integer y between 2 and N (inclusive), the remainder when x is divided by y is 1. Under the constraints of this problem, there is always at least one such integer x. -----Constraints----- - All values in input are integers...
app_data_1718
There is a sequence of length N: A_1, A_2, ..., A_N. Initially, this sequence is a permutation of 1, 2, ..., N. On this sequence, Snuke can perform the following operation: - Choose K consecutive elements in the sequence. Then, replace the value of each chosen element with the minimum value among the chosen elements. ...
app_data_1719
You are given an integer N. Find the number of strings of length N that satisfy the following conditions, modulo 10^9+7: - The string does not contain characters other than A, C, G and T. - The string does not contain AGC as a substring. - The condition above cannot be violated by swapping two adjacent characters on...
app_data_1720
Olya loves energy drinks. She loves them so much that her room is full of empty cans from energy drinks. Formally, her room can be represented as a field of n × m cells, each cell of which is empty or littered with cans. Olya drank a lot of energy drink, so now she can run k meters per second. Each second she chooses...
app_data_1721
You are given a string $s$. You have to reverse it — that is, the first letter should become equal to the last letter before the reversal, the second letter should become equal to the second-to-last letter before the reversal — and so on. For example, if your goal is to reverse the string "abddea", you should get the s...
app_data_1722
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 chatty if they are put in the same classroom (because they must ...
app_data_1723
Mahmoud was trying to solve the vertex cover problem on trees. The problem statement is: Given an undirected tree consisting of n nodes, find the minimum number of vertices that cover all the edges. Formally, we need to find a set of vertices such that for each edge (u, v) that belongs to the tree, either u is in the ...
app_data_1724
Valera has array a, consisting of n integers a_0, a_1, ..., a_{n} - 1, and function f(x), taking an integer from 0 to 2^{n} - 1 as its single argument. Value f(x) is calculated by formula $f(x) = \sum_{i = 0}^{n - 1} a_{i} \cdot b i t(i)$, where value bit(i) equals one if the binary representation of number x contains ...
app_data_1725
Little penguin Polo has an n × m matrix, consisting of integers. Let's index the matrix rows from 1 to n from top to bottom and let's index the columns from 1 to m from left to right. Let's represent the matrix element on the intersection of row i and column j as a_{ij}. In one move the penguin can add or subtract num...
app_data_1726
Recently Luba bought a very interesting book. She knows that it will take t seconds to read the book. Luba wants to finish reading as fast as she can. But she has some work to do in each of n next days. The number of seconds that Luba has to spend working during i-th day is a_{i}. If some free time remains, she can sp...
app_data_1727
Little Susie listens to fairy tales before bed every day. Today's fairy tale was about wood cutters and the little girl immediately started imagining the choppers cutting wood. She imagined the situation that is described below. There are n trees located along the road at points with coordinates x_1, x_2, ..., x_{n}. ...
app_data_1728
You are given a rooted tree with n vertices. The vertices are numbered from 1 to n, the root is the vertex number 1. Each vertex has a color, let's denote the color of vertex v by c_{v}. Initially c_{v} = 0. You have to color the tree into the given colors using the smallest possible number of steps. On each step you...
app_data_1729
There is a programming language in which every program is a non-empty sequence of "<" and ">" signs and digits. Let's explain how the interpreter of this programming language works. A program is interpreted using movement of instruction pointer (IP) which consists of two parts. Current character pointer (CP); Directi...
app_data_1730
You've got a undirected graph G, consisting of n nodes. We will consider the nodes of the graph indexed by integers from 1 to n. We know that each node of graph G is connected by edges with at least k other nodes of this graph. Your task is to find in the given graph a simple cycle of length of at least k + 1. A simpl...
app_data_1731
You are given two integers $n$ and $m$. Calculate the number of pairs of arrays $(a, b)$ such that: the length of both arrays is equal to $m$; each element of each array is an integer between $1$ and $n$ (inclusive); $a_i \le b_i$ for any index $i$ from $1$ to $m$; array $a$ is sorted in non-descending order; ar...
app_data_1732
Fox Ciel is playing a game. In this game there is an infinite long tape with cells indexed by integers (positive, negative and zero). At the beginning she is standing at the cell 0. There are also n cards, each card has 2 attributes: length l_{i} and cost c_{i}. If she pays c_{i} dollars then she can apply i-th card. ...
app_data_1733
Kuro is living in a country called Uberland, consisting of $n$ towns, numbered from $1$ to $n$, and $n - 1$ bidirectional roads connecting these towns. It is possible to reach each town from any other. Each road connects two towns $a$ and $b$. Kuro loves walking and he is planning to take a walking marathon, in which h...
app_data_1734
There are n phone numbers in Polycarp's contacts on his phone. Each number is a 9-digit integer, starting with a digit different from 0. All the numbers are distinct. There is the latest version of Berdroid OS installed on Polycarp's phone. If some number is entered, is shows up all the numbers in the contacts for whi...
app_data_1735
Two people are playing a game with a string $s$, consisting of lowercase latin letters. On a player's turn, he should choose two consecutive equal letters in the string and delete them. For example, if the string is equal to "xaax" than there is only one possible turn: delete "aa", so the string will become "xx". A...
app_data_1736
When Valera has got some free time, he goes to the library to read some books. Today he's got t free minutes to read. That's why Valera took n books in the library and for each book he estimated the time he is going to need to read it. Let's number the books by integers from 1 to n. Valera needs a_{i} minutes to read t...
app_data_1737
Polycarp is currently developing a project in Vaja language and using a popular dependency management system called Vamen. From Vamen's point of view both Vaja project and libraries are treated projects for simplicity. A project in Vaja has its own uniqie non-empty name consisting of lowercase latin letters with lengt...
app_data_1738
Ivan wants to write a letter to his friend. The letter is a string s consisting of lowercase Latin letters. Unfortunately, when Ivan started writing the letter, he realised that it is very long and writing the whole letter may take extremely long time. So he wants to write the compressed version of string s instead of...
app_data_1739
Simon has a prime number x and an array of non-negative integers a_1, a_2, ..., a_{n}. Simon loves fractions very much. Today he wrote out number $\frac{1}{x^{a} 1} + \frac{1}{x^{a_{2}}} + \ldots + \frac{1}{x^{a_{n}}}$ on a piece of paper. After Simon led all fractions to a common denominator and summed them up, he go...
app_data_1740
Asya loves animals very much. Recently, she purchased $n$ kittens, enumerated them from $1$ and $n$ and then put them into the cage. The cage consists of one row of $n$ cells, enumerated with integers from $1$ to $n$ from left to right. Adjacent cells had a partially transparent partition wall between them, hence there...
app_data_1741
There is a forest that we model as a plane and live $n$ rare animals. Animal number $i$ has its lair in the point $(x_{i}, y_{i})$. In order to protect them, a decision to build a nature reserve has been made. The reserve must have a form of a circle containing all lairs. There is also a straight river flowing through...
app_data_1742
At the big break Nastya came to the school dining room. There are $n$ pupils in the school, numbered from $1$ to $n$. Unfortunately, Nastya came pretty late, so that all pupils had already stood in the queue, i.e. Nastya took the last place in the queue. Of course, it's a little bit sad for Nastya, but she is not going...
app_data_1743
Dima liked the present he got from Inna very much. He liked the present he got from Seryozha even more. Dima felt so grateful to Inna about the present that he decided to buy her n hares. Inna was very happy. She lined up the hares in a row, numbered them from 1 to n from left to right and started feeding them with c...
app_data_1744
The only difference between easy and hard versions is constraints. If you write a solution in Python, then prefer to send it in PyPy to speed up execution time. A session has begun at Beland State University. Many students are taking exams. Polygraph Poligrafovich is going to examine a group of $n$ students. Student...
app_data_1745
On a certain meeting of a ruling party "A" minister Pavel suggested to improve the sewer system and to create a new pipe in the city. The city is an n × m rectangular squared field. Each square of the field is either empty (then the pipe can go in it), or occupied (the pipe cannot go in such square). Empty squares are...
app_data_1746
Consider a rooted tree. A rooted tree has one special vertex called the root. All edges are directed from the root. Vertex u is called a child of vertex v and vertex v is called a parent of vertex u if there exists a directed edge from v to u. A vertex is called a leaf if it doesn't have children and has a parent. Let...
app_data_1747
The array a with n integers is given. Let's call the sequence of one or more consecutive elements in a segment. Also let's call the segment k-good if it contains no more than k different values. Find any longest k-good segment. As the input/output can reach huge size it is recommended to use fast input/output methods...
app_data_1748
Alice likes snow a lot! Unfortunately, this year's winter is already over, and she can't expect to have any more of it. Bob has thus bought her a gift — a large snow maker. He plans to make some amount of snow every day. On day i he will make a pile of snow of volume V_{i} and put it in her garden. Each day, every pil...
app_data_1749
Vasya has a sequence of cubes and exactly one integer is written on each cube. Vasya exhibited all his cubes in a row. So the sequence of numbers written on the cubes in the order from the left to the right equals to a_1, a_2, ..., a_{n}. While Vasya was walking, his little brother Stepan played with Vasya's cubes and...
app_data_1750
Andryusha goes through a park each day. The squares and paths between them look boring to Andryusha, so he decided to decorate them. The park consists of n squares connected with (n - 1) bidirectional paths in such a way that any square is reachable from any other using these paths. Andryusha decided to hang a colored...
app_data_1751
A permutation of length $n$ is an array consisting of $n$ distinct integers from $1$ to $n$ in arbitrary order. For example, $[2,3,1,5,4]$ is a permutation, but $[1,2,2]$ is not a permutation ($2$ appears twice in the array) and $[1,3,4]$ is also not a permutation ($n=3$ but there is $4$ in the array). Consider a perm...
app_data_1752
Cowboy Vlad has a birthday today! There are $n$ children who came to the celebration. In order to greet Vlad, the children decided to form a circle around him. Among the children who came, there are both tall and low, so if they stand in a circle arbitrarily, it may turn out, that there is a tall and low child standing...
app_data_1753
Ivan is a novice painter. He has $n$ dyes of different colors. He also knows exactly $m$ pairs of colors which harmonize with each other. Ivan also enjoy playing chess. He has $5000$ rooks. He wants to take $k$ rooks, paint each of them in one of $n$ colors and then place this $k$ rooks on a chessboard of size $10^{9}...
app_data_1754
Everybody knows that the $m$-coder Tournament will happen soon. $m$ schools participate in the tournament, and only one student from each school participates. There are a total of $n$ students in those schools. Before the tournament, all students put their names and the names of their schools into the Technogoblet of ...
app_data_1755
You are given an array of $n$ integers $a_1$, $a_2$, ..., $a_n$, and a set $b$ of $k$ distinct integers from $1$ to $n$. In one operation, you may choose two integers $i$ and $x$ ($1 \le i \le n$, $x$ can be any integer) and assign $a_i := x$. This operation can be done only if $i$ does not belong to the set $b$. Cal...
app_data_1756
You've been in love with Coronavirus-chan for a long time, but you didn't know where she lived until now. And just now you found out that she lives in a faraway place called Naha. You immediately decided to take a vacation and visit Coronavirus-chan. Your vacation lasts exactly $x$ days and that's the exact number of...
app_data_1757
Eleven wants to choose a new name for herself. As a bunch of geeks, her friends suggested an algorithm to choose a name for her. Eleven wants her name to have exactly n characters. [Image] Her friend suggested that her name should only consist of uppercase and lowercase letters 'O'. More precisely, they suggested th...
app_data_1758
Naman has two binary strings $s$ and $t$ of length $n$ (a binary string is a string which only consists of the characters "0" and "1"). He wants to convert $s$ into $t$ using the following operation as few times as possible. In one operation, he can choose any subsequence of $s$ and rotate it clockwise once. For exam...
app_data_1759
A well-known art union called "Kalevich is Alive!" manufactures objects d'art (pictures). The union consists of n painters who decided to organize their work as follows. Each painter uses only the color that was assigned to him. The colors are distinct for all painters. Let's assume that the first painter uses color 1...
app_data_1760
The academic year has just begun, but lessons and olympiads have already occupied all the free time. It is not a surprise that today Olga fell asleep on the Literature. She had a dream in which she was on a stairs. The stairs consists of n steps. The steps are numbered from bottom to top, it means that the lowest ste...
app_data_1761
Seryozha has a very changeable character. This time he refused to leave the room to Dima and his girlfriend (her hame is Inna, by the way). However, the two lovebirds can always find a way to communicate. Today they are writing text messages to each other. Dima and Inna are using a secret code in their text messages. ...
app_data_1762
A social network for dogs called DH (DogHouse) has k special servers to recompress uploaded videos of cute cats. After each video is uploaded, it should be recompressed on one (any) of the servers, and only after that it can be saved in the social network. We know that each server takes one second to recompress a one ...
app_data_1763
You have to restore the wall. The wall consists of $N$ pillars of bricks, the height of the $i$-th pillar is initially equal to $h_{i}$, the height is measured in number of bricks. After the restoration all the $N$ pillars should have equal heights. You are allowed the following operations: put a brick on top of one p...
app_data_1764
Petya and Gena love playing table tennis. A single match is played according to the following rules: a match consists of multiple sets, each set consists of multiple serves. Each serve is won by one of the players, this player scores one point. As soon as one of the players scores t points, he wins the set; then the ne...
app_data_1765
Vasily the bear has got a sequence of positive integers a_1, a_2, ..., a_{n}. Vasily the Bear wants to write out several numbers on a piece of paper so that the beauty of the numbers he wrote out was maximum. The beauty of the written out numbers b_1, b_2, ..., b_{k} is such maximum non-negative integer v, that numbe...
app_data_1766
Sereja and Dima play a game. The rules of the game are very simple. The players have n cards in a row. Each card contains a number, all numbers on the cards are distinct. The players take turns, Sereja moves first. During his turn a player can take one card: either the leftmost card in a row, or the rightmost one. The ...
app_data_1767
Blake is a CEO of a large company called "Blake Technologies". He loves his company very much and he thinks that his company should be the best. That is why every candidate needs to pass through the interview that consists of the following problem. We define function f(x, l, r) as a bitwise OR of integers x_{l}, x_{l}...
app_data_1768
Nadeko's birthday is approaching! As she decorated the room for the party, a long garland of Dianthus-shaped paper pieces was placed on a prominent part of the wall. Brother Koyomi will like it! Still unsatisfied with the garland, Nadeko decided to polish it again. The garland has n pieces numbered from 1 to n from le...
app_data_1769
Hiking club "Up the hill" just returned from a walk. Now they are trying to remember which hills they've just walked through. It is known that there were N stops, all on different integer heights between 1 and N kilometers (inclusive) above the sea level. On the first day they've traveled from the first stop to the se...
app_data_1770
Vasya is reading a e-book. The file of the book consists of $n$ pages, numbered from $1$ to $n$. The screen is currently displaying the contents of page $x$, and Vasya wants to read the page $y$. There are two buttons on the book which allow Vasya to scroll $d$ pages forwards or backwards (but he cannot scroll outside ...
app_data_1771
Gathering darkness shrouds the woods and the world. The moon sheds its light on the boat and the river. "To curtain off the moonlight should be hardly possible; the shades present its mellow beauty and restful nature." Intonates Mino. "See? The clouds are coming." Kanno gazes into the distance. "That can't be better...
app_data_1772
A flower shop has got n bouquets, and the i-th bouquet consists of a_{i} flowers. Vasya, the manager of the shop, decided to make large bouquets from these bouquets. Vasya thinks that a bouquet is large if it is made of two or more initial bouquets, and there is a constraint: the total number of flowers in a large bo...
app_data_1773
Amr lives in Lala Land. Lala Land is a very beautiful country that is located on a coordinate line. Lala Land is famous with its apple trees growing everywhere. Lala Land has exactly n apple trees. Tree number i is located in a position x_{i} and has a_{i} apples growing on it. Amr wants to collect apples from the app...
app_data_1774
The famous joke programming language HQ9+ has only 4 commands. In this problem we will explore its subset — a language called HQ... -----Input----- The only line of the input is a string between 1 and 10^6 characters long. -----Output----- Output "Yes" or "No". -----Examples----- Input HHHH Output Yes Input H...
app_data_1775
An army of n droids is lined up in one row. Each droid is described by m integers a_1, a_2, ..., a_{m}, where a_{i} is the number of details of the i-th type in this droid's mechanism. R2-D2 wants to destroy the sequence of consecutive droids of maximum length. He has m weapons, the i-th weapon can affect all the droid...
app_data_1776
Ancient Egyptians are known to have understood difficult concepts in mathematics. The ancient Egyptian mathematician Ahmes liked to write a kind of arithmetic expressions on papyrus paper which he called as Ahmes arithmetic expression. An Ahmes arithmetic expression can be defined as: "d" is an Ahmes arithmetic expr...
app_data_1777
One day, Yuhao came across a problem about checking if some bracket sequences are correct bracket sequences. A bracket sequence is any non-empty sequence of opening and closing parentheses. A bracket sequence is called a correct bracket sequence if it's possible to obtain a correct arithmetic expression by inserting c...
app_data_1778
Two players A and B have a list of $n$ integers each. They both want to maximize the subtraction between their score and their opponent's score. In one turn, a player can either add to his score any element from his list (assuming his list is not empty), the element is removed from the list afterward. Or remove an el...
app_data_1779
There are two popular keyboard layouts in Berland, they differ only in letters positions. All the other keys are the same. In Berland they use alphabet with 26 letters which coincides with English alphabet. You are given two strings consisting of 26 distinct letters each: all keys of the first and the second layouts i...
app_data_1780
Eugeny has array a = a_1, a_2, ..., a_{n}, consisting of n integers. Each integer a_{i} equals to -1, or to 1. Also, he has m queries: Query number i is given as a pair of integers l_{i}, r_{i} (1 ≤ l_{i} ≤ r_{i} ≤ n). The response to the query will be integer 1, if the elements of array a can be rearranged so as the...
app_data_1781
В самолёте есть n рядов мест. Если смотреть на ряды сверху, то в каждом ряду есть 3 места слева, затем проход между рядами, затем 4 центральных места, затем ещё один проход между рядами, а затем ещё 3 места справа. Известно, что некоторые места уже заняты пассажирами. Всего есть два вида пассажиров — статусные (те, ко...
app_data_1782
The Greatest Secret Ever consists of n words, indexed by positive integers from 1 to n. The secret needs dividing between k Keepers (let's index them by positive integers from 1 to k), the i-th Keeper gets a non-empty set of words with numbers from the set U_{i} = (u_{i}, 1, u_{i}, 2, ..., u_{i}, |U_{i}|). Here and bel...
app_data_1783
It's been almost a week since Polycarp couldn't get rid of insomnia. And as you may already know, one week in Berland lasts k days! When Polycarp went to a doctor with his problem, the doctor asked him about his sleeping schedule (more specifically, the average amount of hours of sleep per week). Luckily, Polycarp kep...
app_data_1784
There are n piles of pebbles on the table, the i-th pile contains a_{i} pebbles. Your task is to paint each pebble using one of the k given colors so that for each color c and any two piles i and j the difference between the number of pebbles of color c in pile i and number of pebbles of color c in pile j is at most on...
app_data_1785
Vasya became interested in bioinformatics. He's going to write an article about similar cyclic DNA sequences, so he invented a new method for determining the similarity of cyclic sequences. Let's assume that strings s and t have the same length n, then the function h(s, t) is defined as the number of positions in whic...
app_data_1786
Leonid wants to become a glass carver (the person who creates beautiful artworks by cutting the glass). He already has a rectangular w mm × h mm sheet of glass, a diamond glass cutter and lots of enthusiasm. What he lacks is understanding of what to carve and how. In order not to waste time, he decided to practice t...
app_data_1787
The Fair Nut found a string $s$. The string consists of lowercase Latin letters. The Nut is a curious guy, so he wants to find the number of strictly increasing sequences $p_1, p_2, \ldots, p_k$, such that: For each $i$ ($1 \leq i \leq k$), $s_{p_i} =$ 'a'. For each $i$ ($1 \leq i < k$), there is such $j$ that $p_i ...
app_data_1788
Takahashi has two integers X and Y. He computed X + Y and X - Y, and the results were A and B, respectively. Now he cannot remember what X and Y were. Find X and Y for him. -----Constraints----- - -100 \leq A, B \leq 100 - For the given integers A and B, there uniquely exist integers X and Y such that X + Y = A and ...
app_data_1789
There are two 100-story buildings, called A and B. (In this problem, the ground floor is called the first floor.) For each i = 1,\dots, 100, the i-th floor of A and that of B are connected by a corridor. Also, for each i = 1,\dots, 99, there is a corridor that connects the (i+1)-th floor of A and the i-th floor of B. Y...
app_data_1790
Arkady's morning seemed to be straight of his nightmare. He overslept through the whole morning and, still half-asleep, got into the tram that arrived the first. Some time after, leaving the tram, he realized that he was not sure about the line number of the tram he was in. During his ride, Arkady woke up several time...
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You will receive 5 points for solving this problem. Manao has invented a new operation on strings that is called folding. Each fold happens between a pair of consecutive letters and places the second part of the string above first part, running in the opposite direction and aligned to the position of the fold. Using t...
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Thanks to the Doctor's help, the rebels managed to steal enough gold to launch a full-scale attack on the Empire! However, Darth Vader is looking for revenge and wants to take back his gold. The rebels have hidden the gold in various bases throughout the galaxy. Darth Vader and the Empire are looking to send out their...
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You are given a rooted tree on $n$ vertices, its root is the vertex number $1$. The $i$-th vertex contains a number $w_i$. Split it into the minimum possible number of vertical paths in such a way that each path contains no more than $L$ vertices and the sum of integers $w_i$ on each path does not exceed $S$. Each vert...
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Vasya commutes by train every day. There are n train stations in the city, and at the i-th station it's possible to buy only tickets to stations from i + 1 to a_{i} inclusive. No tickets are sold at the last station. Let ρ_{i}, j be the minimum number of tickets one needs to buy in order to get from stations i to stat...
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As you could know there are no male planes nor female planes. However, each plane on Earth likes some other plane. There are n planes on Earth, numbered from 1 to n, and the plane with number i likes the plane with number f_{i}, where 1 ≤ f_{i} ≤ n and f_{i} ≠ i. We call a love triangle a situation in which plane A li...
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The classic programming language of Bitland is Bit++. This language is so peculiar and complicated. The language is that peculiar as it has exactly one variable, called x. Also, there are two operations: Operation ++ increases the value of variable x by 1. Operation -- decreases the value of variable x by 1. A s...
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The construction of subway in Bertown is almost finished! The President of Berland will visit this city soon to look at the new subway himself. There are n stations in the subway. It was built according to the Bertown Transport Law: For each station i there exists exactly one train that goes from this station. Its ...
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One day Jeff got hold of an integer sequence a_1, a_2, ..., a_{n} 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 positions of numbers x in the sequence a (such i, that a_{i} = x). The...
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One tradition of ACM-ICPC contests is that a team gets a balloon for every solved problem. We assume that the submission time doesn't matter and teams are sorted only by the number of balloons they have. It means that one's place is equal to the number of teams with more balloons, increased by 1. For example, if there ...