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apps_data_600
Two friends are on the coordinate axis Ox in points with integer coordinates. One of them is in the point x_1 = a, another one is in the point x_2 = b. Each of the friends can move by one along the line in any direction unlimited number of times. When a friend moves, the tiredness of a friend changes according to the...
apps_data_601
You are playing one RPG from the 2010s. You are planning to raise your smithing skill, so you need as many resources as possible. So how to get resources? By stealing, of course. You decided to rob a town's blacksmith and you take a follower with you. You can carry at most $p$ units and your follower — at most $f$ uni...
apps_data_602
-----Input----- The input contains a single integer a (1 ≤ a ≤ 40). -----Output----- Output a single string. -----Examples----- Input 2 Output Adams Input 8 Output Van Buren Input 29 Output Harding 3 a = int(input()) lst = 'Washington,Adams,Jefferson,Madison,Monroe,Adams,Jackson,Van Buren,Harrison,Tyler,Po...
apps_data_603
Fox Ciel has some flowers: r red flowers, g green flowers and b blue flowers. She wants to use these flowers to make several bouquets. There are 4 types of bouquets: To make a "red bouquet", it needs 3 red flowers. To make a "green bouquet", it needs 3 green flowers. To make a "blue bouquet", it needs 3 blue flowe...
apps_data_604
Nastya owns too many arrays now, so she wants to delete the least important of them. However, she discovered that this array is magic! Nastya now knows that the array has the following properties: In one second we can add an arbitrary (possibly negative) integer to all elements of the array that are not equal to zer...
apps_data_605
Misha and Vasya participated in a Codeforces contest. Unfortunately, each of them solved only one problem, though successfully submitted it at the first attempt. Misha solved the problem that costs a points and Vasya solved the problem that costs b points. Besides, Misha submitted the problem c minutes after the contes...
apps_data_606
Fifa and Fafa are sharing a flat. Fifa loves video games and wants to download a new soccer game. Unfortunately, Fafa heavily uses the internet which consumes the quota. Fifa can access the internet through his Wi-Fi access point. This access point can be accessed within a range of r meters (this range can be chosen by...
apps_data_607
Recall that the permutation 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). A sequence $a$ ...
apps_data_608
Родители Васи хотят, чтобы он как можно лучше учился. Поэтому если он получает подряд три положительные оценки («четвёрки» или «пятёрки»), они дарят ему подарок. Соответственно, оценки «единица», «двойка» и «тройка» родители Васи считают плохими. Когда Вася получает подряд три хорошие оценки, ему сразу вручают подарок,...
apps_data_609
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 test Valera got a square piece of squared paper. The length of the...
apps_data_610
Petya and Vasya decided to play a little. They found n red cubes and m blue cubes. The game goes like that: the players take turns to choose a cube of some color (red or blue) and put it in a line from left to right (overall the line will have n + m cubes). Petya moves first. Petya's task is to get as many pairs of nei...
apps_data_611
Alice got an array of length $n$ as a birthday present once again! This is the third year in a row! And what is more disappointing, it is overwhelmengly boring, filled entirely with zeros. Bob decided to apply some changes to the array to cheer up Alice. Bob has chosen $m$ changes of the following form. For some int...
apps_data_612
Devu being a small kid, likes to play a lot, but he only likes to play with arrays. While playing he came up with an interesting question which he could not solve, can you please solve it for him? Given an array consisting of distinct integers. Is it possible to partition the whole array into k disjoint non-empty part...
apps_data_613
Vasya is studying in the last class of school and soon he will take exams. He decided to study polynomials. Polynomial is a function P(x) = a_0 + a_1x^1 + ... + a_{n}x^{n}. Numbers a_{i} are called coefficients of a polynomial, non-negative integer n is called a degree of a polynomial. Vasya has made a bet with his fr...
apps_data_614
After several latest reforms many tourists are planning to visit Berland, and Berland people understood that it's an opportunity to earn money and changed their jobs to attract tourists. Petya, for example, left the IT corporation he had been working for and started to sell souvenirs at the market. This morning, as us...
apps_data_615
Snuke has an integer sequence A of length N. He will make three cuts in A and divide it into four (non-empty) contiguous subsequences B, C, D and E. The positions of the cuts can be freely chosen. Let P,Q,R,S be the sums of the elements in B,C,D,E, respectively. Snuke is happier when the absolute difference of the maxi...
apps_data_616
We have N locked treasure boxes, numbered 1 to N. A shop sells M keys. The i-th key is sold for a_i yen (the currency of Japan), and it can unlock b_i of the boxes: Box c_{i1}, c_{i2}, ..., c_{i{b_i}}. Each key purchased can be used any number of times. Find the minimum cost required to unlock all the treasure boxes. I...
apps_data_617
Vanya is doing his maths homework. He has an expression of form $x_{1} \diamond x_{2} \diamond x_{3} \diamond \ldots \diamond x_{n}$, where x_1, x_2, ..., x_{n} are digits from 1 to 9, and sign [Image] represents either a plus '+' or the multiplication sign '*'. Vanya needs to add one pair of brackets in this expressio...
apps_data_618
Ksenia has ordinary pan scales and several weights of an equal mass. Ksenia has already put some weights on the scales, while other weights are untouched. Ksenia is now wondering whether it is possible to put all the remaining weights on the scales so that the scales were in equilibrium. The scales is in equilibrium ...
apps_data_619
Soon after the Chunga-Changa island was discovered, it started to acquire some forms of civilization and even market economy. A new currency arose, colloquially called "chizhik". One has to pay in chizhiks to buy a coconut now. Sasha and Masha are about to buy some coconuts which are sold at price $z$ chizhiks per coc...
apps_data_620
Long time ago Alex created an interesting problem about parallelogram. The input data for this problem contained four integer points on the Cartesian plane, that defined the set of vertices of some non-degenerate (positive area) parallelogram. Points not necessary were given in the order of clockwise or counterclockwis...
apps_data_621
Polycarpus has been working in the analytic department of the "F.R.A.U.D." company for as much as n days. Right now his task is to make a series of reports about the company's performance for the last n days. We know that the main information in a day report is value a_{i}, the company's profit on the i-th day. If a_{i...
apps_data_622
Chloe, the same as Vladik, is a competitive programmer. She didn't have any problems to get to the olympiad like Vladik, but she was confused by the task proposed on the olympiad. Let's consider the following algorithm of generating a sequence of integers. Initially we have a sequence consisting of a single element eq...
apps_data_623
Friends are going to play console. They have two joysticks and only one charger for them. Initially first joystick is charged at a_1 percent and second one is charged at a_2 percent. You can connect charger to a joystick only at the beginning of each minute. In one minute joystick either discharges by 2 percent (if not...
apps_data_624
Every superhero has been given a power value by the Felicity Committee. The avengers crew wants to maximize the average power of the superheroes in their team by performing certain operations. Initially, there are $n$ superheroes in avengers team having powers $a_1, a_2, \ldots, a_n$, respectively. In one operation, t...
apps_data_625
For a positive integer n let's define a function f: f(n) = - 1 + 2 - 3 + .. + ( - 1)^{n}n Your task is to calculate f(n) for a given integer n. -----Input----- The single line contains the positive integer n (1 ≤ n ≤ 10^15). -----Output----- Print f(n) in a single line. -----Examples----- Input 4 Output 2 ...
apps_data_626
Robot Doc is located in the hall, with n computers stand in a line, numbered from left to right from 1 to n. Each computer contains exactly one piece of information, each of which Doc wants to get eventually. The computers are equipped with a security system, so to crack the i-th of them, the robot needs to collect at ...
apps_data_627
You are given a string $s$ consisting of $n$ lowercase Latin letters. You have to remove at most one (i.e. zero or one) character of this string in such a way that the string you obtain will be lexicographically smallest among all strings that can be obtained using this operation. String $s = s_1 s_2 \dots s_n$ is le...
apps_data_628
Mr Keks is a typical white-collar in Byteland. He has a bookshelf in his office with some books on it, each book has an integer positive price. Mr Keks defines the value of a shelf as the sum of books prices on it. Miraculously, Mr Keks was promoted and now he is moving into a new office. He learned that in the ne...
apps_data_629
A little boy Laurenty has been playing his favourite game Nota for quite a while and is now very hungry. The boy wants to make sausage and cheese sandwiches, but first, he needs to buy a sausage and some cheese. The town where Laurenty lives in is not large. The houses in it are located in two rows, n houses in each r...
apps_data_630
There are times you recall a good old friend and everything you've come through together. Luckily there are social networks — they store all your message history making it easy to know what you argued over 10 years ago. More formal, your message history is a sequence of messages ordered by time sent numbered from 1 to...
apps_data_631
For a given array $a$ consisting of $n$ integers and a given integer $m$ find if it is possible to reorder elements of the array $a$ in such a way that $\sum_{i=1}^{n}{\sum_{j=i}^{n}{\frac{a_j}{j}}}$ equals $m$? It is forbidden to delete elements as well as insert new elements. Please note that no rounding occurs durin...
apps_data_632
Orac is studying number theory, and he is interested in the properties of divisors. For two positive integers $a$ and $b$, $a$ is a divisor of $b$ if and only if there exists an integer $c$, such that $a\cdot c=b$. For $n \ge 2$, we will denote as $f(n)$ the smallest positive divisor of $n$, except $1$. For example,...
apps_data_633
Let's call an undirected graph $G = (V, E)$ relatively prime if and only if for each edge $(v, u) \in E$  $GCD(v, u) = 1$ (the greatest common divisor of $v$ and $u$ is $1$). If there is no edge between some pair of vertices $v$ and $u$ then the value of $GCD(v, u)$ doesn't matter. The vertices are numbered from $1$ to...
apps_data_634
In a far away land, there are two cities near a river. One day, the cities decide that they have too little space and would like to reclaim some of the river area into land. The river area can be represented by a grid with r rows and exactly two columns — each cell represents a rectangular area. The rows are numbered ...
apps_data_635
Alice has a birthday today, so she invited home her best friend Bob. Now Bob needs to find a way to commute to the Alice's home. In the city in which Alice and Bob live, the first metro line is being built. This metro line contains $n$ stations numbered from $1$ to $n$. Bob lives near the station with number $1$, whil...
apps_data_636
Amr is a young coder who likes music a lot. He always wanted to learn how to play music but he was busy coding so he got an idea. Amr has n instruments, it takes a_{i} days to learn i-th instrument. Being busy, Amr dedicated k days to learn how to play the maximum possible number of instruments. Amr asked for your he...
apps_data_637
A camera you have accidentally left in a desert has taken an interesting photo. The photo has a resolution of n pixels width, and each column of this photo is all white or all black. Thus, we can represent the photo as a sequence of n zeros and ones, where 0 means that the corresponding column is all white, and 1 means...
apps_data_638
The only difference between easy and hard versions is constraints. A session has begun at Beland State University. Many students are taking exams. Polygraph Poligrafovich is going to examine a group of $n$ students. Students will take the exam one-by-one in order from $1$-th to $n$-th. Rules of the exam are following...
apps_data_639
Dr. Evil kidnapped Mahmoud and Ehab in the evil land because of their performance in the Evil Olympiad in Informatics (EOI). He decided to give them some problems to let them go. Dr. Evil is interested in sets, He has a set of n integers. Dr. Evil calls a set of integers evil if the MEX of it is exactly x. the MEX of ...
apps_data_640
Two players are playing a game. First each of them writes an integer from 1 to 6, and then a dice is thrown. The player whose written number got closer to the number on the dice wins. If both payers have the same difference, it's a draw. The first player wrote number a, the second player wrote number b. How many ways ...
apps_data_641
Today is Wednesday, the third day of the week. What's more interesting is that tomorrow is the last day of the year 2015. Limak is a little polar bear. He enjoyed this year a lot. Now, he is so eager to the coming year 2016. Limak wants to prove how responsible a bear he is. He is going to regularly save candies for ...
apps_data_642
Little boy Petya loves stairs very much. But he is bored from simple going up and down them — he loves jumping over several stairs at a time. As he stands on some stair, he can either jump to the next one or jump over one or two stairs at a time. But some stairs are too dirty and Petya doesn't want to step on them. No...
apps_data_643
You are an experienced Codeforces user. Today you found out that during your activity on Codeforces you have made y submissions, out of which x have been successful. Thus, your current success rate on Codeforces is equal to x / y. Your favorite rational number in the [0;1] range is p / q. Now you wonder: what is the s...
apps_data_644
You are given a function $f$ written in some basic language. The function accepts an integer value, which is immediately written into some variable $x$. $x$ is an integer variable and can be assigned values from $0$ to $2^{32}-1$. The function contains three types of commands: for $n$ — for loop; end — every comman...
apps_data_645
Your friend has n cards. You know that each card has a lowercase English letter on one side and a digit on the other. Currently, your friend has laid out the cards on a table so only one side of each card is visible. You would like to know if the following statement is true for cards that your friend owns: "If a car...
apps_data_646
There are $n$ detachments on the surface, numbered from $1$ to $n$, the $i$-th detachment is placed in a point with coordinates $(x_i, y_i)$. All detachments are placed in different points. Brimstone should visit each detachment at least once. You can choose the detachment where Brimstone starts. To move from one det...
apps_data_647
One fine October day a mathematics teacher Vasily Petrov went to a class and saw there n pupils who sat at the $\frac{n}{2}$ desks, two people at each desk. Vasily quickly realized that number n is even. Like all true mathematicians, Vasily has all students numbered from 1 to n. But Vasily Petrov did not like the way ...
apps_data_648
Okabe needs bananas for one of his experiments for some strange reason. So he decides to go to the forest and cut banana trees. Consider the point (x, y) in the 2D plane such that x and y are integers and 0 ≤ x, y. There is a tree in such a point, and it has x + y bananas. There are no trees nor bananas in other point...
apps_data_649
One tradition of welcoming the New Year is launching fireworks into the sky. Usually a launched firework flies vertically upward for some period of time, then explodes, splitting into several parts flying in different directions. Sometimes those parts also explode after some period of time, splitting into even more par...
apps_data_650
-----Input----- The input consists of a single string of uppercase letters A-Z. The length of the string is between 1 and 10 characters, inclusive. -----Output----- Output "YES" or "NO". -----Examples----- Input NEAT Output YES Input WORD Output NO Input CODER Output NO Input APRILFOOL Output NO Input AI ...
apps_data_651
Bob programmed a robot to navigate through a 2d maze. The maze has some obstacles. Empty cells are denoted by the character '.', where obstacles are denoted by '#'. There is a single robot in the maze. Its start position is denoted with the character 'S'. This position has no obstacle in it. There is also a single ex...
apps_data_652
You are given n points on a plane. All the points are distinct and no three of them lie on the same line. Find the number of parallelograms with the vertices at the given points. -----Input----- The first line of the input contains integer n (1 ≤ n ≤ 2000) — the number of points. Each of the next n lines contains t...
apps_data_653
Amugae has a hotel consisting of $10$ rooms. The rooms are numbered from $0$ to $9$ from left to right. The hotel has two entrances — one from the left end, and another from the right end. When a customer arrives to the hotel through the left entrance, they are assigned to an empty room closest to the left entrance. S...
apps_data_654
Neko is playing with his toys on the backyard of Aki's house. Aki decided to play a prank on him, by secretly putting catnip into Neko's toys. Unfortunately, he went overboard and put an entire bag of catnip into the toys... It took Neko an entire day to turn back to normal. Neko reported to Aki that he saw a lot of w...
apps_data_655
On a chessboard with a width of $n$ and a height of $n$, rows are numbered from bottom to top from $1$ to $n$, columns are numbered from left to right from $1$ to $n$. Therefore, for each cell of the chessboard, you can assign the coordinates $(r,c)$, where $r$ is the number of the row, and $c$ is the number of the col...
apps_data_656
The winter in Berland lasts n days. For each day we know the forecast for the average air temperature that day. Vasya has a new set of winter tires which allows him to drive safely no more than k days at any average air temperature. After k days of using it (regardless of the temperature of these days) the set of win...
apps_data_657
During the winter holidays, the demand for Christmas balls is exceptionally high. Since it's already 2018, the advances in alchemy allow easy and efficient ball creation by utilizing magic crystals. Grisha needs to obtain some yellow, green and blue balls. It's known that to produce a yellow ball one needs two yellow ...
apps_data_658
And while Mishka is enjoying her trip... Chris is a little brown bear. No one knows, where and when he met Mishka, but for a long time they are together (excluding her current trip). However, best friends are important too. John is Chris' best friend. Once walking with his friend, John gave Chris the following proble...
apps_data_659
Little Petya likes arrays of integers a lot. Recently his mother has presented him one such array consisting of n elements. Petya is now wondering whether he can swap any two distinct integers in the array so that the array got unsorted. Please note that Petya can not swap equal integers even if they are in distinct po...
apps_data_660
A tennis tournament with n participants is running. The participants are playing by an olympic system, so the winners move on and the losers drop out. The tournament takes place in the following way (below, m is the number of the participants of the current round): let k be the maximal power of the number 2 such that...
apps_data_661
Construct a sequence a = {a_1,\ a_2,\ ...,\ a_{2^{M + 1}}} of length 2^{M + 1} that satisfies the following conditions, if such a sequence exists. - Each integer between 0 and 2^M - 1 (inclusive) occurs twice in a. - For any i and j (i < j) such that a_i = a_j, the formula a_i \ xor \ a_{i + 1} \ xor \ ... \ xor \ a_...
apps_data_662
Alex, Bob and Carl will soon participate in a team chess tournament. Since they are all in the same team, they have decided to practise really hard before the tournament. But it's a bit difficult for them because chess is a game for two players, not three. So they play with each other according to following rules: Al...
apps_data_663
Amr loves Geometry. One day he came up with a very interesting problem. Amr has a circle of radius r and center in point (x, y). He wants the circle center to be in new position (x', y'). In one step Amr can put a pin to the border of the circle in a certain point, then rotate the circle around that pin by any angle ...
apps_data_664
One day, Twilight Sparkle is interested in how to sort a sequence of integers a_1, a_2, ..., a_{n} in non-decreasing order. Being a young unicorn, the only operation she can perform is a unit shift. That is, she can move the last element of the sequence to its beginning:a_1, a_2, ..., a_{n} → a_{n}, a_1, a_2, ..., a_{n...
apps_data_665
New Year is coming! Vasya has prepared a New Year's verse and wants to recite it in front of Santa Claus. Vasya's verse contains $n$ parts. It takes $a_i$ seconds to recite the $i$-th part. Vasya can't change the order of parts in the verse: firstly he recites the part which takes $a_1$ seconds, secondly — the part wh...
apps_data_666
Consider the infinite sequence of integers: 1, 1, 2, 1, 2, 3, 1, 2, 3, 4, 1, 2, 3, 4, 5.... The sequence is built in the following way: at first the number 1 is written out, then the numbers from 1 to 2, then the numbers from 1 to 3, then the numbers from 1 to 4 and so on. Note that the sequence contains numbers, not d...
apps_data_667
You are given a complete undirected graph. For each pair of vertices you are given the length of the edge that connects them. Find the shortest paths between each pair of vertices in the graph and return the length of the longest of them. -----Input----- The first line of the input contains a single integer N (3 ≤ N...
apps_data_668
Polycarp studies at the university in the group which consists of n students (including himself). All they are registrated in the social net "TheContacnt!". Not all students are equally sociable. About each student you know the value a_{i} — the maximum number of messages which the i-th student is agree to send per da...
apps_data_669
You are given an array a consisting of n integers, and additionally an integer m. You have to choose some sequence of indices b_1, b_2, ..., b_{k} (1 ≤ b_1 < b_2 < ... < b_{k} ≤ n) in such a way that the value of $\sum_{i = 1}^{k} a_{b_{i}} \operatorname{mod} m$ is maximized. Chosen sequence can be empty. Print the ma...
apps_data_670
In this problem we consider a very simplified model of Barcelona city. Barcelona can be represented as a plane with streets of kind $x = c$ and $y = c$ for every integer $c$ (that is, the rectangular grid). However, there is a detail which makes Barcelona different from Manhattan. There is an avenue called Avinguda Di...
apps_data_671
Every year, hundreds of people come to summer camps, they learn new algorithms and solve hard problems. This is your first year at summer camp, and you are asked to solve the following problem. All integers starting with 1 are written in one line. The prefix of these line is "123456789101112131415...". Your task is to...
apps_data_672
Last week, Hamed learned about a new type of equations in his math class called Modular Equations. Lets define i modulo j as the remainder of division of i by j and denote it by $i \operatorname{mod} j$. A Modular Equation, as Hamed's teacher described, is an equation of the form $a \operatorname{mod} x = b$ in which a...
apps_data_673
Johny likes numbers n and k very much. Now Johny wants to find the smallest integer x greater than n, so it is divisible by the number k. -----Input----- The only line contains two integers n and k (1 ≤ n, k ≤ 10^9). -----Output----- Print the smallest integer x > n, so it is divisible by the number k. -----Exa...
apps_data_674
A substring of some string is called the most frequent, if the number of its occurrences is not less than number of occurrences of any other substring. You are given a set of strings. A string (not necessarily from this set) is called good if all elements of the set are the most frequent substrings of this string. Res...
apps_data_675
Anya loves to watch horror movies. In the best traditions of horror, she will be visited by m ghosts tonight. Anya has lots of candles prepared for the visits, each candle can produce light for exactly t seconds. It takes the girl one second to light one candle. More formally, Anya can spend one second to light one can...
apps_data_676
There is an old tradition of keeping 4 boxes of candies in the house in Cyberland. The numbers of candies are special if their arithmetic mean, their median and their range are all equal. By definition, for a set {x_1, x_2, x_3, x_4} (x_1 ≤ x_2 ≤ x_3 ≤ x_4) arithmetic mean is $\frac{x_{1} + x_{2} + x_{3} + x_{4}}{4}$, ...
apps_data_677
You are given $q$ queries in the following form: Given three integers $l_i$, $r_i$ and $d_i$, find minimum positive integer $x_i$ such that it is divisible by $d_i$ and it does not belong to the segment $[l_i, r_i]$. Can you answer all the queries? Recall that a number $x$ belongs to segment $[l, r]$ if $l \le x \le...
apps_data_678
HAI I HAS A TUX GIMMEH TUX I HAS A FOO ITS 0 I HAS A BAR ITS 0 I HAS A BAZ ITS 0 I HAS A QUZ ITS 1 TUX IS NOW A NUMBR IM IN YR LOOP NERFIN YR TUX TIL BOTH SAEM TUX AN 0 I HAS A PUR GIMMEH PUR PUR IS NOW A NUMBR FOO R SUM OF FOO AN PUR BAR R SUM OF BAR AN 1 BOTH SAEM BIGGR OF PRODUKT OF FOO AN QUZ AN PRODU...
apps_data_679
When the curtains are opened, a canvas unfolds outside. Kanno marvels at all the blonde colours along the riverside — not tangerines, but blossoms instead. "What a pity it's already late spring," sighs Mino with regret, "one more drizzling night and they'd be gone." "But these blends are at their best, aren't they?" ...
apps_data_680
The Squareland national forest is divided into equal $1 \times 1$ 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, and Charlie are going to buy three distinct plots of land ...
apps_data_681
Reziba has many magic gems. Each magic gem can be split into $M$ normal gems. The amount of space each magic (and normal) gem takes is $1$ unit. A normal gem cannot be split. Reziba wants to choose a set of magic gems and split some of them, so the total space occupied by the resulting set of gems is $N$ units. If a m...
apps_data_682
Little Petya is learning to play chess. He has already learned how to move a king, a rook and a bishop. Let us remind you the rules of moving chess pieces. A chessboard is 64 square fields organized into an 8 × 8 table. A field is represented by a pair of integers (r, c) — the number of the row and the number of the co...
apps_data_683
-----Input----- The input contains a single integer a (0 ≤ a ≤ 35). -----Output----- Output a single integer. -----Examples----- Input 3 Output 8 Input 10 Output 1024 import sys a = [1, 2, 4, 8, 16, 32, 64, 128, 256, 512, 1024, 2048, 4096, 8092, 16184, 32368, 64736, 129472, 258944, 517888, 1035776, 2071552, 4...
apps_data_684
Ichihime is the current priestess of the Mahjong Soul Temple. She claims to be human, despite her cat ears. These days the temple is holding a math contest. Usually, Ichihime lacks interest in these things, but this time the prize for the winner is her favorite — cookies. Ichihime decides to attend the contest. Now sh...
apps_data_685
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 (for the sake of simplicity let's consider that he may star...
apps_data_686
You are given two integers $x$ and $y$ (it is guaranteed that $x > y$). You may choose any prime integer $p$ and subtract it any number of times from $x$. Is it possible to make $x$ equal to $y$? Recall that a prime number is a positive integer that has exactly two positive divisors: $1$ and this integer itself. The s...
apps_data_687
Kolya is very absent-minded. Today his math teacher asked him to solve a simple problem with the equation $a + 1 = b$ with positive integers $a$ and $b$, but Kolya forgot the numbers $a$ and $b$. He does, however, remember that the first (leftmost) digit of $a$ was $d_a$, and the first (leftmost) digit of $b$ was $d_b$...
apps_data_688
Do you remember how Kai constructed the word "eternity" using pieces of ice as components? Little Sheldon plays with pieces of ice, each piece has exactly one digit between 0 and 9. He wants to construct his favourite number t. He realized that digits 6 and 9 are very similar, so he can rotate piece of ice with 6 to u...
apps_data_689
You are given $n$ strings $s_1, s_2, \ldots, s_n$ consisting of lowercase Latin letters. In one operation you can remove a character from a string $s_i$ and insert it to an arbitrary position in a string $s_j$ ($j$ may be equal to $i$). You may perform this operation any number of times. Is it possible to make all $n$...
apps_data_690
You know that Japan is the country with almost the largest 'electronic devices per person' ratio. So you might be quite surprised to find out that the primary school in Japan teaches to count using a Soroban — an abacus developed in Japan. This phenomenon has its reasons, of course, but we are not going to speak about ...
apps_data_691
Mahmoud and Ehab are on the third stage of their adventures now. As you know, Dr. Evil likes sets. This time he won't show them any set from his large collection, but will ask them to create a new set to replenish his beautiful collection of sets. Dr. Evil has his favorite evil integer x. He asks Mahmoud and Ehab to f...
apps_data_692
Btoh yuo adn yuor roomatme lhoate wianshg disehs, btu stlil sdmoeboy msut peorrfm tihs cohre dialy. Oen dya yuo decdie to idourtcne smoe syestm. Yuor rmmotaoe sstgegus teh fooniwllg dael. Yuo argee on tow arayrs of ientgres M adn R, nmebur upmicnog dyas (induiclng teh cunrret oen) wtih sicsescuve irnegets (teh ceurrnt ...
apps_data_693
There is unrest in the Galactic Senate. Several thousand solar systems have declared their intentions to leave the Republic. Master Heidi needs to select the Jedi Knights who will go on peacekeeping missions throughout the galaxy. It is well-known that the success of any peacekeeping mission depends on the colors of th...
apps_data_694
Polycarpus participates in a competition for hacking into a new secure messenger. He's almost won. Having carefully studied the interaction protocol, Polycarpus came to the conclusion that the secret key can be obtained if he properly cuts the public key of the application into two parts. The public key is a long inte...
apps_data_695
[Image] -----Input----- The input contains two integers a_1, a_2 (0 ≤ a_{i} ≤ 32), separated by a single space. -----Output----- Output a single integer. -----Examples----- Input 1 1 Output 0 Input 3 7 Output 0 Input 13 10 Output 1 import math import re from fractions import Fraction class Task: tab...
apps_data_696
The cows have just learned what a primitive root is! Given a prime p, a primitive root $\operatorname{mod} p$ is an integer x (1 ≤ x < p) such that none of integers x - 1, x^2 - 1, ..., x^{p} - 2 - 1 are divisible by p, but x^{p} - 1 - 1 is. Unfortunately, computing primitive roots can be time consuming, so the cows ...
apps_data_697
Natasha's favourite numbers are $n$ and $1$, and Sasha's favourite numbers are $m$ and $-1$. One day Natasha and Sasha met and wrote down every possible array of length $n+m$ such that some $n$ of its elements are equal to $1$ and another $m$ elements are equal to $-1$. For each such array they counted its maximal pref...
apps_data_698
Sereja is a coder and he likes to take part in Codesorfes rounds. However, Uzhland doesn't have good internet connection, so Sereja sometimes skips rounds. Codesorfes has rounds of two types: Div1 (for advanced coders) and Div2 (for beginner coders). Two rounds, Div1 and Div2, can go simultaneously, (Div1 round cannot...
apps_data_699
Valera had two bags of potatoes, the first of these bags contains x (x ≥ 1) potatoes, and the second — y (y ≥ 1) potatoes. Valera — very scattered boy, so the first bag of potatoes (it contains x potatoes) Valera lost. Valera remembers that the total amount of potatoes (x + y) in the two bags, firstly, was not gerater ...