id stringlengths 11 14 | content stringlengths 424 1.17M |
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apps_data_1300 | You are given array $a$ of length $n$. You can choose one segment $[l, r]$ ($1 \le l \le r \le n$) and integer value $k$ (positive, negative or even zero) and change $a_l, a_{l + 1}, \dots, a_r$ by $k$ each (i.e. $a_i := a_i + k$ for each $l \le i \le r$).
What is the maximum possible number of elements with value $c$... |
apps_data_1301 | You are solving the crossword problem K from IPSC 2014. You solved all the clues except for one: who does Eevee evolve into? You are not very into pokemons, but quick googling helped you find out, that Eevee can evolve into eight different pokemons: Vaporeon, Jolteon, Flareon, Espeon, Umbreon, Leafeon, Glaceon, and Syl... |
apps_data_1302 | Levko loves permutations very much. A permutation of length n is a sequence of distinct positive integers, each is at most n.
Let’s assume that value gcd(a, b) shows the greatest common divisor of numbers a and b. Levko assumes that element p_{i} of permutation p_1, p_2, ... , p_{n} is good if gcd(i, p_{i}) > 1. Levko... |
apps_data_1303 | Little X and Little Z are good friends. They always chat online. But both of them have schedules.
Little Z has fixed schedule. He always online at any moment of time between a_1 and b_1, between a_2 and b_2, ..., between a_{p} and b_{p} (all borders inclusive). But the schedule of Little X is quite strange, it depends... |
apps_data_1304 | Two bears are playing tic-tac-toe via mail. It's boring for them to play usual tic-tac-toe game, so they are a playing modified version of this game. Here are its rules.
The game is played on the following field. [Image]
Players are making moves by turns. At first move a player can put his chip in any cell of any sm... |
apps_data_1305 | The new "Die Hard" movie has just been released! There are n people at the cinema box office standing in a huge line. Each of them has a single 100, 50 or 25 ruble bill. A "Die Hard" ticket costs 25 rubles. Can the booking clerk sell a ticket to each person and give the change if he initially has no money and sells the... |
apps_data_1306 | Peter has a sequence of integers a_1, a_2, ..., a_{n}. Peter wants all numbers in the sequence to equal h. He can perform the operation of "adding one on the segment [l, r]": add one to all elements of the sequence with indices from l to r (inclusive). At that, Peter never chooses any element as the beginning of the se... |
apps_data_1307 | Mahmoud and Ehab play a game called the even-odd game. Ehab chooses his favorite integer n and then they take turns, starting from Mahmoud. In each player's turn, he has to choose an integer a and subtract it from n such that: 1 ≤ a ≤ n. If it's Mahmoud's turn, a has to be even, but if it's Ehab's turn, a has to be o... |
apps_data_1308 | You are given a string s of length n consisting of lowercase English letters.
For two given strings s and t, say S is the set of distinct characters of s and T is the set of distinct characters of t. The strings s and t are isomorphic if their lengths are equal and there is a one-to-one mapping (bijection) f between S... |
apps_data_1309 | Vadim is really keen on travelling. Recently he heard about kayaking activity near his town and became very excited about it, so he joined a party of kayakers.
Now the party is ready to start its journey, but firstly they have to choose kayaks. There are 2·n people in the group (including Vadim), and they have exactly... |
apps_data_1310 | Little Petya likes arrays that consist of non-negative integers a lot. Recently his mom has presented him one such array consisting of n elements. Petya immediately decided to find there a segment of consecutive elements, such that the xor of all numbers from this segment was maximal possible. Help him with that.
The ... |
apps_data_1311 | The clique problem is one of the most well-known NP-complete problems. Under some simplification it can be formulated as follows. Consider an undirected graph G. It is required to find a subset of vertices C of the maximum size such that any two of them are connected by an edge in graph G. Sounds simple, doesn't it? No... |
apps_data_1312 | Polycarpus has got n candies and m friends (n ≥ m). He wants to make a New Year present with candies to each friend. Polycarpus is planning to present all candies and he wants to do this in the fairest (that is, most equal) manner. He wants to choose such a_{i}, where a_{i} is the number of candies in the i-th friend's... |
apps_data_1313 | Two players play a simple game. Each player is provided with a box with balls. First player's box contains exactly n_1 balls and second player's box contains exactly n_2 balls. In one move first player can take from 1 to k_1 balls from his box and throw them away. Similarly, the second player can take from 1 to k_2 bal... |
apps_data_1314 | Bob is a pirate looking for the greatest treasure the world has ever seen. The treasure is located at the point $T$, which coordinates to be found out.
Bob travelled around the world and collected clues of the treasure location at $n$ obelisks. These clues were in an ancient language, and he has only decrypted them at... |
apps_data_1315 | Do you like summer? Residents of Berland do. They especially love eating ice cream in the hot summer. So this summer day a large queue of n Berland residents lined up in front of the ice cream stall. We know that each of them has a certain amount of berland dollars with them. The residents of Berland are nice people, s... |
apps_data_1316 | Given a string $s$ of length $n$ and integer $k$ ($1 \le k \le n$). The string $s$ has a level $x$, if $x$ is largest non-negative integer, such that it's possible to find in $s$: $x$ non-intersecting (non-overlapping) substrings of length $k$, all characters of these $x$ substrings are the same (i.e. each substring ... |
apps_data_1317 | Arkady and his friends love playing checkers on an $n \times n$ field. The rows and the columns of the field are enumerated from $1$ to $n$.
The friends have recently won a championship, so Arkady wants to please them with some candies. Remembering an old parable (but not its moral), Arkady wants to give to his friend... |
apps_data_1318 | Innovation technologies are on a victorious march around the planet. They integrate into all spheres of human activity!
A restaurant called "Dijkstra's Place" has started thinking about optimizing the booking system.
There are n booking requests received by now. Each request is characterized by two numbers: c_{i} an... |
apps_data_1319 | Ayrat has number n, represented as it's prime factorization p_{i} of size m, i.e. n = p_1·p_2·...·p_{m}. Ayrat got secret information that that the product of all divisors of n taken modulo 10^9 + 7 is the password to the secret data base. Now he wants to calculate this value.
-----Input-----
The first line of the i... |
apps_data_1320 | Door's family is going celebrate Famil Doors's birthday party. They love Famil Door so they are planning to make his birthday cake weird!
The cake is a n × n square consisting of equal squares with side length 1. Each square is either empty or consists of a single chocolate. They bought the cake and randomly started t... |
apps_data_1321 | One day n friends met at a party, they hadn't seen each other for a long time and so they decided to make a group photo together.
Simply speaking, the process of taking photos can be described as follows. On the photo, each photographed friend occupies a rectangle of pixels: the i-th of them occupies the rectangle of... |
apps_data_1322 | Sasha and Ira are two best friends. But they aren’t just friends, they are software engineers and experts in artificial intelligence. They are developing an algorithm for two bots playing a two-player game. The game is cooperative and turn based. In each turn, one of the players makes a move (it doesn’t matter which pl... |
apps_data_1323 | Piegirl was asked to implement two table join operation for distributed database system, minimizing the network traffic.
Suppose she wants to join two tables, A and B. Each of them has certain number of rows which are distributed on different number of partitions. Table A is distributed on the first cluster consisting... |
apps_data_1324 | Quite recently, a very smart student named Jury decided that lectures are boring, so he downloaded a game called "Black Square" on his super cool touchscreen phone.
In this game, the phone's screen is divided into four vertical strips. Each second, a black square appears on some of the strips. According to the rules o... |
apps_data_1325 | Nam is playing with a string on his computer. The string consists of n lowercase English letters. It is meaningless, so Nam decided to make the string more beautiful, that is to make it be a palindrome by using 4 arrow keys: left, right, up, down.
There is a cursor pointing at some symbol of the string. Suppose that c... |
apps_data_1326 | For a positive integer X, let f(X) be the number of positive divisors of X.
Given a positive integer N, find \sum_{K=1}^N K\times f(K).
-----Constraints-----
- 1 \leq N \leq 10^7
-----Input-----
Input is given from Standard Input in the following format:
N
-----Output-----
Print the value \sum_{K=1}^N K\times f(K).... |
apps_data_1327 | Takahashi became a pastry chef and opened a shop La Confiserie d'ABC to celebrate AtCoder Beginner Contest 100.
The shop sells N kinds of cakes.
Each kind of cake has three parameters "beauty", "tastiness" and "popularity". The i-th kind of cake has the beauty of x_i, the tastiness of y_i and the popularity of z_i.
T... |
apps_data_1328 | Dolphin is planning to generate a small amount of a certain chemical substance C.
In order to generate the substance C, he must prepare a solution which is a mixture of two substances A and B in the ratio of M_a:M_b.
He does not have any stock of chemicals, however, so he will purchase some chemicals at a local pharm... |
apps_data_1329 | You are given an integer N. Among the divisors of N! (= 1 \times 2 \times ... \times N), how many Shichi-Go numbers (literally "Seven-Five numbers") are there?
Here, a Shichi-Go number is a positive integer that has exactly 75 divisors.
-----Note-----
When a positive integer A divides a positive integer B, A is said t... |
apps_data_1330 | There are $n$ students and $m$ clubs in a college. The clubs are numbered from $1$ to $m$. Each student has a potential $p_i$ and is a member of the club with index $c_i$. Initially, each student is a member of exactly one club. A technical fest starts in the college, and it will run for the next $d$ days. There is a c... |
apps_data_1331 | Every evening Vitalya sets n alarm clocks to wake up tomorrow. Every alarm clock rings during exactly one minute and is characterized by one integer a_{i} — number of minute after midnight in which it rings. Every alarm clock begins ringing at the beginning of the minute and rings during whole minute.
Vitalya will de... |
apps_data_1332 | There are five people playing a game called "Generosity". Each person gives some non-zero number of coins b as an initial bet. After all players make their bets of b coins, the following operation is repeated for several times: a coin is passed from one player to some other player.
Your task is to write a program that... |
apps_data_1333 | Fox Ciel starts to learn programming. The first task is drawing a fox! However, that turns out to be too hard for a beginner, so she decides to draw a snake instead.
A snake is a pattern on a n by m table. Denote c-th cell of r-th row as (r, c). The tail of the snake is located at (1, 1), then it's body extends to (1,... |
apps_data_1334 | And where the are the phone numbers?
You are given a string s consisting of lowercase English letters and an integer k. Find the lexicographically smallest string t of length k, such that its set of letters is a subset of the set of letters of s and s is lexicographically smaller than t.
It's guaranteed that the answ... |
apps_data_1335 | Vasya likes taking part in Codeforces contests. When a round is over, Vasya follows all submissions in the system testing tab.
There are $n$ solutions, the $i$-th of them should be tested on $a_i$ tests, testing one solution on one test takes $1$ second. The solutions are judged in the order from $1$ to $n$. There are... |
apps_data_1336 | There are famous Russian nesting dolls named matryoshkas sold in one of the souvenir stores nearby, and you'd like to buy several of them. The store has $n$ different matryoshkas. Any matryoshka is a figure of volume $out_i$ with an empty space inside of volume $in_i$ (of course, $out_i > in_i$).
You don't have much f... |
apps_data_1337 | Moscow is hosting a major international conference, which is attended by n scientists from different countries. Each of the scientists knows exactly one language. For convenience, we enumerate all languages of the world with integers from 1 to 10^9.
In the evening after the conference, all n scientists decided to go t... |
apps_data_1338 | You are given a permutation p of numbers 1, 2, ..., n. Let's define f(p) as the following sum:$f(p) = \sum_{i = 1}^{n} \sum_{j = i}^{n} \operatorname{min}(p_{i}, p_{i + 1}, \ldots p_{j})$
Find the lexicographically m-th permutation of length n in the set of permutations having the maximum possible value of f(p).
---... |
apps_data_1339 | A coordinate line has n segments, the i-th segment starts at the position l_{i} and ends at the position r_{i}. We will denote such a segment as [l_{i}, r_{i}].
You have suggested that one of the defined segments covers all others. In other words, there is such segment in the given set, which contains all other ones. ... |
apps_data_1340 | Monocarp has arranged $n$ colored marbles in a row. The color of the $i$-th marble is $a_i$. Monocarp likes ordered things, so he wants to rearrange marbles in such a way that all marbles of the same color form a contiguos segment (and there is only one such segment for each color).
In other words, Monocarp wants to ... |
apps_data_1341 | There is a sequence of colorful stones. The color of each stone is one of red, green, or blue. You are given a string s. The i-th (1-based) character of s represents the color of the i-th stone. If the character is "R", "G", or "B", the color of the corresponding stone is red, green, or blue, respectively.
Initially S... |
apps_data_1342 | There are n boxes with colored balls on the table. Colors are numbered from 1 to n. i-th box contains a_{i} balls, all of which have color i. You have to write a program that will divide all balls into sets such that: each ball belongs to exactly one of the sets, there are no empty sets, there is no set containing t... |
apps_data_1343 | Masha wants to open her own bakery and bake muffins in one of the n cities numbered from 1 to n. There are m bidirectional roads, each of whose connects some pair of cities.
To bake muffins in her bakery, Masha needs to establish flour supply from some storage. There are only k storages, located in different cities nu... |
apps_data_1344 | You are given array consisting of n integers. Your task is to find the maximum length of an increasing subarray of the given array.
A subarray is the sequence of consecutive elements of the array. Subarray is called increasing if each element of this subarray strictly greater than previous.
-----Input-----
The firs... |
apps_data_1345 | Vasya has found a piece of paper with an array written on it. The array consists of n integers a_1, a_2, ..., a_{n}. Vasya noticed that the following condition holds for the array a_{i} ≤ a_{i} + 1 ≤ 2·a_{i} for any positive integer i (i < n).
Vasya wants to add either a "+" or a "-" before each number of array. Thus,... |
apps_data_1346 | It is Professor R's last class of his teaching career. Every time Professor R taught a class, he gave a special problem for the students to solve. You being his favourite student, put your heart into solving it one last time.
You are given two polynomials $f(x) = a_0 + a_1x + \dots + a_{n-1}x^{n-1}$ and $g(x) = b_0 + ... |
apps_data_1347 | After you had helped Fedor to find friends in the «Call of Soldiers 3» game, he stopped studying completely. Today, the English teacher told him to prepare an essay. Fedor didn't want to prepare the essay, so he asked Alex for help. Alex came to help and wrote the essay for Fedor. But Fedor didn't like the essay at all... |
apps_data_1348 | Valera had an undirected connected graph without self-loops and multiple edges consisting of n vertices. The graph had an interesting property: there were at most k edges adjacent to each of its vertices. For convenience, we will assume that the graph vertices were indexed by integers from 1 to n.
One day Valera count... |
apps_data_1349 | It is winter now, and Max decided it's about time he watered the garden.
The garden can be represented as n consecutive garden beds, numbered from 1 to n. k beds contain water taps (i-th tap is located in the bed x_{i}), which, if turned on, start delivering water to neighbouring beds. If the tap on the bed x_{i} is t... |
apps_data_1350 | You are given a string $s$ of length $n$, which consists only of the first $k$ letters of the Latin alphabet. All letters in string $s$ are uppercase.
A subsequence of string $s$ is a string that can be derived from $s$ by deleting some of its symbols without changing the order of the remaining symbols. For example, "... |
apps_data_1351 | You have two integers $l$ and $r$. Find an integer $x$ which satisfies the conditions below:
$l \le x \le r$. All digits of $x$ are different.
If there are multiple answers, print any of them.
-----Input-----
The first line contains two integers $l$ and $r$ ($1 \le l \le r \le 10^{5}$).
-----Output-----
If ... |
apps_data_1352 | You are given an array consisting of $n$ integers $a_1, a_2, \dots , a_n$ and an integer $x$. It is guaranteed that for every $i$, $1 \le a_i \le x$.
Let's denote a function $f(l, r)$ which erases all values such that $l \le a_i \le r$ from the array $a$ and returns the resulting array. For example, if $a = [4, 1, 1, ... |
apps_data_1353 | 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 to use subway n times. Help Ann, tell her what is the minimum sum of... |
apps_data_1354 | Alice and Bob love playing one-dimensional battle ships. They play on the field in the form of a line consisting of n square cells (that is, on a 1 × n table).
At the beginning of the game Alice puts k ships on the field without telling their positions to Bob. Each ship looks as a 1 × a rectangle (that is, it occupies... |
apps_data_1355 | Given simple (without self-intersections) n-gon. It is not necessary convex. Also you are given m lines. For each line find the length of common part of the line and the n-gon.
The boundary of n-gon belongs to polygon. It is possible that n-gon contains 180-degree angles.
-----Input-----
The first line contains int... |
apps_data_1356 | Alice has a string $s$. She really likes the letter "a". She calls a string good if strictly more than half of the characters in that string are "a"s. For example "aaabb", "axaa" are good strings, and "baca", "awwwa", "" (empty string) are not.
Alice can erase some characters from her string $s$. She would like to kno... |
apps_data_1357 | 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. As a result, she's got m things to do. In order to complete the i... |
apps_data_1358 | Santa Claus likes palindromes very much. There was his birthday recently. k of his friends came to him to congratulate him, and each of them presented to him a string s_{i} having the same length n. We denote the beauty of the i-th string by a_{i}. It can happen that a_{i} is negative — that means that Santa doesn't fi... |
apps_data_1359 | Tomash keeps wandering off and getting lost while he is walking along the streets of Berland. It's no surprise! In his home town, for any pair of intersections there is exactly one way to walk from one intersection to the other one. The capital of Berland is very different!
Tomash has noticed that even simple cases of... |
apps_data_1360 | Student Valera is an undergraduate student at the University. His end of term exams are approaching and he is to pass exactly n exams. Valera is a smart guy, so he will be able to pass any exam he takes on his first try. Besides, he can take several exams on one day, and in any order.
According to the schedule, a stud... |
apps_data_1361 | Mike is trying rock climbing but he is awful at it.
There are n holds on the wall, i-th hold is at height a_{i} off the ground. Besides, let the sequence a_{i} increase, that is, a_{i} < a_{i} + 1 for all i from 1 to n - 1; we will call such sequence a track. Mike thinks that the track a_1, ..., a_{n} has difficulty ... |
apps_data_1362 | A sum of p rubles is charged from Arkady's mobile phone account every day in the morning. Among the following m days, there are n days when Arkady will top up the account: in the day d_{i} he will deposit t_{i} rubles on his mobile phone account. Arkady will always top up the account before the daily payment will be do... |
apps_data_1363 | Завтра у хоккейной команды, которой руководит Евгений, важный матч. Евгению нужно выбрать шесть игроков, которые выйдут на лед в стартовом составе: один вратарь, два защитника и три нападающих.
Так как это стартовый состав, Евгения больше волнует, насколько красива будет команда на льду, чем способности игроков. А име... |
apps_data_1364 | Arkady invited Anna for a dinner to a sushi restaurant. The restaurant is a bit unusual: it offers $n$ pieces of sushi aligned in a row, and a customer has to choose a continuous subsegment of these sushi to buy.
The pieces of sushi are of two types: either with tuna or with eel. Let's denote the type of the $i$-th fr... |
apps_data_1365 | Ostap already settled down in Rio de Janiero suburb and started to grow a tree in his garden. Recall that a tree is a connected undirected acyclic graph.
Ostap's tree now has n vertices. He wants to paint some vertices of the tree black such that from any vertex u there is at least one black vertex v at distance no m... |
apps_data_1366 | Sereja and his friends went to a picnic. The guys had n soda bottles just for it. Sereja forgot the bottle opener as usual, so the guys had to come up with another way to open bottles.
Sereja knows that the i-th bottle is from brand a_{i}, besides, you can use it to open other bottles of brand b_{i}. You can use one b... |
apps_data_1367 | Polycarpus adores TV series. Right now he is ready to finish watching a season of a popular sitcom "Graph Theory". In total, the season has n episodes, numbered with integers from 1 to n.
Polycarpus watches episodes not one by one but in a random order. He has already watched all the episodes except for one. Which epi... |
apps_data_1368 | You are given N items.
The value of the i-th item (1 \leq i \leq N) is v_i.
Your have to select at least A and at most B of these items.
Under this condition, find the maximum possible arithmetic mean of the values of selected items.
Additionally, find the number of ways to select items so that the mean of the valu... |
apps_data_1369 | Given are N points (x_i, y_i) in a two-dimensional plane.
Find the minimum radius of a circle such that all the points are inside or on it.
-----Constraints-----
- 2 \leq N \leq 50
- 0 \leq x_i \leq 1000
- 0 \leq y_i \leq 1000
- The given N points are all different.
- The values in input are all integers.
-----I... |
apps_data_1370 | We have a chocolate bar partitioned into H horizontal rows and W vertical columns of squares.
The square (i, j) at the i-th row from the top and the j-th column from the left is dark if S_{i,j} is 0, and white if S_{i,j} is 1.
We will cut the bar some number of times to divide it into some number of blocks. In each cut... |
apps_data_1371 | Given is an integer S.
Find how many sequences there are whose terms are all integers greater than or equal to 3, and whose sum is equal to S.
The answer can be very large, so output it modulo 10^9 + 7.
-----Constraints-----
- 1 \leq S \leq 2000
- All values in input are integers.
-----Input-----
Input is given fro... |
apps_data_1372 | Ibis is fighting with a monster.
The health of the monster is H.
Ibis can cast N kinds of spells. Casting the i-th spell decreases the monster's health by A_i, at the cost of B_i Magic Points.
The same spell can be cast multiple times. There is no way other than spells to decrease the monster's health.
Ibis wins when t... |
apps_data_1373 | We have N+1 integers: 10^{100}, 10^{100}+1, ..., 10^{100}+N.
We will choose K or more of these integers. Find the number of possible values of the sum of the chosen numbers, modulo (10^9+7).
-----Constraints-----
- 1 \leq N \leq 2\times 10^5
- 1 \leq K \leq N+1
- All values in input are integers.
-----Input-----
I... |
apps_data_1374 | We will define the median of a sequence b of length M, as follows:
- Let b' be the sequence obtained by sorting b in non-decreasing order. Then, the value of the (M / 2 + 1)-th element of b' is the median of b. Here, / is integer division, rounding down.
For example, the median of (10, 30, 20) is 20; the median of (10... |
apps_data_1375 | You've got array a[1], a[2], ..., a[n], consisting of n integers. Count the number of ways to split all the elements of the array into three contiguous parts so that the sum of elements in each part is the same.
More formally, you need to find the number of such pairs of indices i, j (2 ≤ i ≤ j ≤ n - 1), that $\sum_{... |
apps_data_1376 | Sasha and Dima want to buy two $n$-tier cakes. Each cake should consist of $n$ different tiers: from the size of $1$ to the size of $n$. Tiers should go in order from the smallest to the biggest (from top to bottom).
They live on the same street, there are $2 \cdot n$ houses in a row from left to right. Each house has... |
apps_data_1377 | There are $n$ pillars aligned in a row and numbered from $1$ to $n$.
Initially each pillar contains exactly one disk. The $i$-th pillar contains a disk having radius $a_i$.
You can move these disks from one pillar to another. You can take a disk from pillar $i$ and place it on top of pillar $j$ if all these condition... |
apps_data_1378 | Bill is a famous mathematician in BubbleLand. Thanks to his revolutionary math discoveries he was able to make enough money to build a beautiful house. Unfortunately, for not paying property tax on time, court decided to punish Bill by making him lose a part of his property.
Bill’s property can be observed as a convex... |
apps_data_1379 | Recently Monocarp got a job. His working day lasts exactly $m$ minutes. During work, Monocarp wants to drink coffee at certain moments: there are $n$ minutes $a_1, a_2, \dots, a_n$, when he is able and willing to take a coffee break (for the sake of simplicity let's consider that each coffee break lasts exactly one min... |
apps_data_1380 | The Queen of England has n trees growing in a row in her garden. At that, the i-th (1 ≤ i ≤ n) tree from the left has height a_{i} meters. Today the Queen decided to update the scenery of her garden. She wants the trees' heights to meet the condition: for all i (1 ≤ i < n), a_{i} + 1 - a_{i} = k, where k is the number ... |
apps_data_1381 | To make a paper airplane, one has to use a rectangular piece of paper. From a sheet of standard size you can make $s$ airplanes.
A group of $k$ people decided to make $n$ airplanes each. They are going to buy several packs of paper, each of them containing $p$ sheets, and then distribute the sheets between the people.... |
apps_data_1382 | After Vitaly was expelled from the university, he became interested in the graph theory.
Vitaly especially liked the cycles of an odd length in which each vertex occurs at most once.
Vitaly was wondering how to solve the following problem. You are given an undirected graph consisting of n vertices and m edges, not ne... |
apps_data_1383 | You are given a positive integer $m$ and two integer sequence: $a=[a_1, a_2, \ldots, a_n]$ and $b=[b_1, b_2, \ldots, b_n]$. Both of these sequence have a length $n$.
Permutation is a sequence of $n$ different positive integers from $1$ to $n$. For example, these sequences are permutations: $[1]$, $[1,2]$, $[2,1]$, $[6... |
apps_data_1384 | Hideo Kojima has just quit his job at Konami. Now he is going to find a new place to work. Despite being such a well-known person, he still needs a CV to apply for a job.
During all his career Hideo has produced n games. Some of them were successful, some were not. Hideo wants to remove several of them (possibly zero)... |
apps_data_1385 | The problem describes the properties of a command line. The description somehow resembles the one you usually see in real operating systems. However, there are differences in the behavior. Please make sure you've read the statement attentively and use it as a formal document.
In the Pindows operating system a strings ... |
apps_data_1386 | Bob is decorating his kitchen, more precisely, the floor. He has found a prime candidate for the tiles he will use. They come in a simple form factor — a square tile that is diagonally split into white and black part as depicted in the figure below. [Image]
The dimension of this tile is perfect for this kitchen, as h... |
apps_data_1387 | New Year is coming in Line World! In this world, there are n cells numbered by integers from 1 to n, as a 1 × n board. People live in cells. However, it was hard to move between distinct cells, because of the difficulty of escaping the cell. People wanted to meet people who live in other cells.
So, user tncks0121 has ... |
apps_data_1388 | Ashish has a tree consisting of $n$ nodes numbered $1$ to $n$ rooted at node $1$. The $i$-th node in the tree has a cost $a_i$, and binary digit $b_i$ is written in it. He wants to have binary digit $c_i$ written in the $i$-th node in the end.
To achieve this, he can perform the following operation any number of times... |
apps_data_1389 | The first algorithm for detecting a face on the image working in realtime was developed by Paul Viola and Michael Jones in 2001. A part of the algorithm is a procedure that computes Haar features. As part of this task, we consider a simplified model of this concept.
Let's consider a rectangular image that is represent... |
apps_data_1390 | The end of the school year is near and Ms. Manana, the teacher, will soon have to say goodbye to a yet another class. She decided to prepare a goodbye present for her n students and give each of them a jigsaw puzzle (which, as wikipedia states, is a tiling puzzle that requires the assembly of numerous small, often oddl... |
apps_data_1391 | A group of n schoolboys decided to ride bikes. As nobody of them has a bike, the boys need to rent them.
The renting site offered them m bikes. The renting price is different for different bikes, renting the j-th bike costs p_{j} rubles.
In total, the boys' shared budget is a rubles. Besides, each of them has his own... |
apps_data_1392 | Let's call a number k-good if it contains all digits not exceeding k (0, ..., k). You've got a number k and an array a containing n numbers. Find out how many k-good numbers are in a (count each number every time it occurs in array a).
-----Input-----
The first line contains integers n and k (1 ≤ n ≤ 100, 0 ≤ k ≤ 9)... |
apps_data_1393 | Little Tanya decided to present her dad a postcard on his Birthday. She has already created a message — string s of length n, consisting of uppercase and lowercase English letters. Tanya can't write yet, so she found a newspaper and decided to cut out the letters and glue them into the postcard to achieve string s. The... |
apps_data_1394 | Bob has a string $s$ consisting of lowercase English letters. He defines $s'$ to be the string after removing all "a" characters from $s$ (keeping all other characters in the same order). He then generates a new string $t$ by concatenating $s$ and $s'$. In other words, $t=s+s'$ (look at notes for an example).
You are ... |
apps_data_1395 | Stepan has a very big positive integer.
Let's consider all cyclic shifts of Stepan's integer (if we look at his integer like at a string) which are also integers (i.e. they do not have leading zeros). Let's call such shifts as good shifts. For example, for the integer 10203 the good shifts are the integer itself 10203... |
apps_data_1396 | Iahub is training for the IOI. What is a better way to train than playing a Zuma-like game?
There are n balls put in a row. Each ball is colored in one of k colors. Initially the row doesn't contain three or more contiguous balls with the same color. Iahub has a single ball of color x. He can insert his ball at any p... |
apps_data_1397 | A country has n cities. Initially, there is no road in the country. One day, the king decides to construct some roads connecting pairs of cities. Roads can be traversed either way. He wants those roads to be constructed in such a way that it is possible to go from each city to any other city by traversing at most two r... |
apps_data_1398 | One day Vasya was on a physics practical, performing the task on measuring the capacitance. He followed the teacher's advice and did as much as n measurements, and recorded the results in the notebook. After that he was about to show the results to the teacher, but he remembered that at the last lesson, the teacher had... |
apps_data_1399 | You are given $n$ segments on a Cartesian plane. Each segment's endpoints have integer coordinates. Segments can intersect with each other. No two segments lie on the same line.
Count the number of distinct points with integer coordinates, which are covered by at least one segment.
-----Input-----
The first line co... |
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