task stringlengths 0 154k | __index_level_0__ int64 0 39.2k |
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You are standing near a very strange machine. If you put C cents in the machine, the remaining money in your purse will transform in an unusual way. If you have A dollars and B cents remaining in your purse after depositing the C cents, then after the transformation you will have B dollars and A cents. You can repeat t... | 24,500 |
There are n shovels in Polycarp's shop. The i-th shovel costs i burles, that is, the first shovel costs 1 burle, the second shovel costs 2 burles, the third shovel costs 3 burles, and so on. Polycarps wants to sell shovels in pairs.
Visitors are more likely to buy a pair of shovels if their total cost ends with severa... | 24,501 |
Golu hates odd numbers. When he learns about binary strings he wants to find out how many binary strings of given length N exist without an odd number of consecutive 1's.
For example: For N=4 1001,1010,1110,0001 are strings which contain odd number of 1's where 1100,1111 are not. Leading zeros are allowed.
This task ... | 24,502 |
D: Sontaku (Surmise)
Some twins like even numbers.
Count how many even numbers are in $ N $ integers $ A_1, A_2, A_3, \ dots, A_N $.
input
The integer $ N $ is given on the first line.
On the second line, $ N $ integers $ A_1, A_2, A_3, \ dots, A_N $ are given, separated by blanks.
output
Output an even number. ... | 24,503 |
A monopole magnet is a magnet that only has one pole, either north or south. They don't actually exist since real magnets have two poles, but this is a programming contest problem, so we don't care.
There is an n× m grid. Initially, you may place some north magnets and some south magnets into the cells. You are allowe... | 24,504 |
The main Bertown street is represented by a straight line. There are 109 bus stops located on the line. The stops are numbered with integers from 1 to 109 in the order in which they follow on the road. The city has n buses. Every day the i-th bus drives from stop number si to stop number fi (si < fi), it stops on all i... | 24,505 |
There are n cities in Bearland, numbered 1 through n. Cities are arranged in one long row. The distance between cities i and j is equal to |i - j|.
Limak is a police officer. He lives in a city a. His job is to catch criminals. It's hard because he doesn't know in which cities criminals are. Though, he knows that ther... | 24,506 |
There are n football teams in the world.
The Main Football Organization (MFO) wants to host at most m games. MFO wants the i-th game to be played between the teams a_i and b_i in one of the k stadiums.
Let s_{ij} be the numbers of games the i-th team played in the j-th stadium. MFO does not want a team to have much... | 24,507 |
Harry is playing a game with is friend. He is given a notebook which has names of their friends written in various lowercase letter from 'a' to 'z'. His task is to find a 'special-letters'. A letter is a 'special-letters' if it occurs at least once in each of their friends name.
Given the list of N names, display the ... | 24,508 |
You are one of ICPC participants and in charge of developing a library for multiprecision numbers and radix conversion. You have just finished writing the code, so next you have to test if it works correctly. You decided to write a simple, well-known factorial function for this purpose:
<image>
Your task is to write ... | 24,509 |
You are given n points with integer coordinates on the plane. Points are given in a way such that there is no triangle, formed by any three of these n points, which area exceeds S.
Alyona tried to construct a triangle with integer coordinates, which contains all n points and which area doesn't exceed 4S, but, by obvio... | 24,510 |
Today, as a friendship gift, Bakry gave Badawy n integers a_1, a_2, ..., a_n and challenged him to choose an integer X such that the value \underset{1 ≤ i ≤ n}{max} (a_i ⊕ X) is minimum possible, where ⊕ denotes the [bitwise XOR operation](https://en.wikipedia.org/wiki/Bitwise_operation#XOR).
As always, Badawy is too ... | 24,511 |
Harry came to know from Dumbledore that Salazar Slytherin's locket is a horcrux. This locket was present earlier at 12 Grimmauld Place, the home of Sirius Black's mother. It was stolen from there and is now present in the Ministry of Magic in the office of Dolorous Umbridge, Harry's former Defense Against the Dark Arts... | 24,512 |
You are a resident of Kyoot (oh, well, it’s not a misspelling!) city. All streets there are neatly built on a grid; some streets run in a meridional (north-south) direction and others in a zonal (east-west) direction. The streets that run from north to south are called avenues, whereas those which run from east to west... | 24,513 |
Snuke received N intervals as a birthday present. The i-th interval was [-L_i, R_i]. It is guaranteed that both L_i and R_i are positive. In other words, the origin is strictly inside each interval.
Snuke doesn't like overlapping intervals, so he decided to move some intervals. For any positive integer d, if he pays d... | 24,514 |
A + B is often used as an example of the easiest problem possible to show some contest platform. However, some scientists have observed that sometimes this problem is not so easy to get accepted. Want to try?
Input
The input contains two integers a and b (0 ≤ a, b ≤ 103), separated by a single space.
Output
Output ... | 24,515 |
Yash loves playing with trees and gets especially excited when they have something to do with prime numbers. On his 20th birthday he was granted with a rooted tree of n nodes to answer queries on. Hearing of prime numbers on trees, Yash gets too intoxicated with excitement and asks you to help out and answer queries on... | 24,516 |
Haruna is a high school student. She must remember the seating arrangements in her class because she is a class president. It is too difficult task to remember if there are so many students.
That is the reason why seating rearrangement is depress task for her. But students have a complaint if seating is fixed.
One da... | 24,517 |
Brave Ponta and his best friend, Brave Gonta, have come to Luida's bar in search of friends to embark on an epic adventure. There are many warriors, monks and wizards in the tavern who are itching to go on an adventure.
Gonta, who is kind-hearted, cared for Ponta and said, "You can choose your friends first."
On the ... | 24,518 |
Little Nastya has a hobby, she likes to remove some letters from word, to obtain another word. But it turns out to be pretty hard for her, because she is too young. Therefore, her brother Sergey always helps her.
Sergey gives Nastya the word t and wants to get the word p out of it. Nastya removes letters in a certain ... | 24,519 |
How many stars are there in the sky? A young programmer Polycarpus can't get this question out of his head! He took a photo of the starry sky using his digital camera and now he analyzes the resulting monochrome digital picture. The picture is represented by a rectangular matrix consisting of n lines each containing m ... | 24,520 |
You are given an n × m table, consisting of characters «A», «G», «C», «T». Let's call a table nice, if every 2 × 2 square contains all four distinct characters. Your task is to find a nice table (also consisting of «A», «G», «C», «T»), that differs from the given table in the minimum number of characters.
Input
First... | 24,521 |
Vicky, the Artist, had two lists A and B, such that B was a permutation of A. Vicky was very proud of these lists. Unfortunately, while transporting them from one exhibition to another, some numbers were left out of A. Can you find the missing numbers?
If a number occurs multiple times in the lists, you must ensure tha... | 24,522 |
There are N people numbered 1 to N. Each of them is either an honest person whose testimonies are always correct or an unkind person whose testimonies may be correct or not.
Person i gives A_i testimonies. The j-th testimony by Person i is represented by two integers x_{ij} and y_{ij}. If y_{ij} = 1, the testimony say... | 24,523 |
There are N balls and N+1 holes in a line. Balls are numbered 1 through N from left to right. Holes are numbered 1 through N+1 from left to right. The i-th ball is located between the i-th hole and (i+1)-th hole. We denote the distance between neighboring items (one ball and one hole) from left to right as d_i (1 \leq ... | 24,524 |
As we all know Barney's job is "PLEASE" and he has not much to do at work. That's why he started playing "cups and key". In this game there are three identical cups arranged in a line from left to right. Initially key to Barney's heart is under the middle cup.
<image>
Then at one turn Barney swaps the cup in the midd... | 24,525 |
Problem statement
Find the number of integer sequences $ X_1, X_2, ..., X_N $ that satisfy the following conditions.
1. For any integer $ i $ ($ 1 \ leq i \ leq N $), there exists $ j $ ($ 1 \ leq j \ leq N $) such that $ X_j = i $.
2. $ X_s = t $
3. $ X_ {a_i} <X_ {b_i} $ ($ 1 \ leq i \ leq C $)
Constraint
* $ 1 ... | 24,526 |
Gosha's universe is a table consisting of n rows and m columns. Both the rows and columns are numbered with consecutive integers starting with 1. We will use (r, c) to denote a cell located in the row r and column c.
Gosha is often invited somewhere. Every time he gets an invitation, he first calculates the number of ... | 24,527 |
Berland Football Cup starts really soon! Commentators from all over the world come to the event.
Organizers have already built n commentary boxes. m regional delegations will come to the Cup. Every delegation should get the same number of the commentary boxes. If any box is left unoccupied then the delegations will be... | 24,528 |
Test data generation is not an easy task! Often, generating big random test cases is not enough to ensure thorough testing of solutions for correctness.
For example, consider a problem from an old Codeforces round. Its input format looks roughly as follows:
The first line contains a single integer n (1 ≤ n ≤ maxn) — ... | 24,529 |
Alice has a lovely piece of cloth. It has the shape of a square with a side of length a centimeters. Bob also wants such piece of cloth. He would prefer a square with a side of length b centimeters (where b < a). Alice wanted to make Bob happy, so she cut the needed square out of the corner of her piece and gave it to ... | 24,530 |
There is a strip with an infinite number of cells. Cells are numbered starting with 0. Initially the cell i contains a ball with the number i.
There are n pockets located at cells a_1, …, a_n. Each cell contains at most one pocket.
Filtering is the following sequence of operations:
* All pockets at cells a_1, …, a... | 24,531 |
Professional sport is more than hard work. It also is the equipment, designed by top engineers. As an example, let's take tennis. Not only should you be in great shape, you also need an excellent racket! In this problem your task is to contribute to the development of tennis and to help to design a revolutionary new co... | 24,532 |
Vus the [Cossack](https://en.wikipedia.org/wiki/Cossacks) holds a programming competition, in which n people participate. He decided to award them all with pens and notebooks. It is known that Vus has exactly m pens and k notebooks.
Determine whether the Cossack can reward all participants, giving each of them at leas... | 24,533 |
Polycarp has an array a consisting of n integers.
He wants to play a game with this array. The game consists of several moves. On the first move he chooses any element and deletes it (after the first move the array contains n-1 elements). For each of the next moves he chooses any element with the only restriction: its... | 24,534 |
Once Bob took a paper stripe of n squares (the height of the stripe is 1 square). In each square he wrote an integer number, possibly negative. He became interested in how many ways exist to cut this stripe into three pieces so that the sum of numbers from each piece is equal to the sum of numbers from any other piece,... | 24,535 |
Abhimanyu simply drew two triangles, as shown in the picture below-
He says this, Level 1 Triangles.
Then he drew two more triangles, as shown in the picture below-
He says this, Level 2 Triangles.
Similarly he defined Level 3, 4, 5, ..., N Triangles. You simply need to tell him total no. of triangles in Level N Tria... | 24,536 |
There is a robot on a checkered field that is endless in all directions. Initially, the robot is located in the cell with coordinates (0, 0). He will execute commands which are described by a string of capital Latin letters 'L', 'R', 'D', 'U'. When a command is executed, the robot simply moves in the corresponding dire... | 24,537 |
Roy frequently needs to use his old Nokia cell phone for texting whose keypad looks exactly as shown below.
You may be already familiar with the working of the keypad, however if you're not we shall see a few examples.
To type "b", we need to press "2" twice. To type "?" we need to press "1" thrice. To type "5" w... | 24,538 |
You are given a tree that consists of n nodes. You should label each of its n-1 edges with an integer in such way that satisfies the following conditions:
* each integer must be greater than 0;
* the product of all n-1 numbers should be equal to k;
* the number of 1-s among all n-1 integers must be minimum po... | 24,539 |
Lucy likes letters. She studied the definition of the lexicographical order at school and plays with it.
At first, she tried to construct the lexicographically smallest word out of given letters. It was so easy! Then she tried to build multiple words and minimize one of them. This was much harder!
Formally, Lucy want... | 24,540 |
Given is a string S consisting of `0` and `1`. Find the number of strings, modulo 998244353, that can result from applying the following operation on S between 0 and K times (inclusive):
* Choose a pair of integers i, j (1\leq i < j\leq |S|) such that the i-th and j-th characters of S are `0` and `1`, respectively. Re... | 24,541 |
A linguist, Nodvic Natharus Damenhof (commonly called Dr. Usoperant), invented an artificial language Usoperant in 2007. The word usoperant means ‘one which tires’. Damenhof’s goal was to create a complex and pedantic language that would remind many difficulties in universal communications. Talking in Usoperant, you sh... | 24,542 |
Problem
Taro hides important books in the school locker, so he manages them more strictly than other people, and in addition to the keys provided by the school, he has installed the following button authentication type keys. ..
<image>
However, Taro, who easily forgets his password, has a habit of making it possible... | 24,543 |
You have an integer sequence of length N: a_1, a_2, ..., a_N.
You repeatedly perform the following operation until the length of the sequence becomes 1:
* First, choose an element of the sequence.
* If that element is at either end of the sequence, delete the element.
* If that element is not at either end of the seq... | 24,544 |
You are given two rectangles on a plane. The centers of both rectangles are located in the origin of coordinates (meaning the center of the rectangle's symmetry). The first rectangle's sides are parallel to the coordinate axes: the length of the side that is parallel to the Ox axis, equals w, the length of the side tha... | 24,545 |
Given a list of phone numbers, determine if it is consistent in the sense that no number is the prefix of another. Let’s say the phone catalogue listed these numbers:
•Emergency 911
•Vidhant 97625 99944
•Bob 91125 42682
In this case, it’s not possible to call Bob, because the central would direct your call to the emerg... | 24,546 |
An English booklet has been created for publicizing Aizu to the world. When you read it carefully, you found a misnomer (an error in writing) on the last name of Masayuki Hoshina, the lord of the Aizu domain. The booklet says "Hoshino" not "Hoshina".
Your task is to write a program which replace all the words "Hoshino... | 24,547 |
Dark completed with studying Strings last night and trying to solve the problem of primes numbers from last three months but did not succeed every time he preferred to ask your help and same goes this time.
He likes to play a game with PRIMES AND STRINGS and he named the game as "PRIME ASCII CHARACTERS".
The rules ar... | 24,548 |
While Omar was studying for Math lectures, he found the following problem.
Given 3 Integers N_1, N_2, N_3, count the number of common divisors which divide all of them.
Can you please help Omar in solving this problem, because he usually sleeps in lectures.
Input:
Given an integer T, which indicates the number o... | 24,549 |
As a professional private tutor, Kuroni has to gather statistics of an exam. Kuroni has appointed you to complete this important task. You must not disappoint him.
The exam consists of n questions, and m students have taken the exam. Each question was worth 1 point. Question i was solved by at least l_i and at most r_... | 24,550 |
Once upon a time a little frog whose name was Vasya decided to travel around his home swamp. Overall there are n mounds on the swamp, located on one line. The distance between the neighboring mounds is one meter. Vasya wants to visit all the mounds in one day; besides, he wants to visit each one exactly once. For that ... | 24,551 |
As you know, Vova has recently become a new shaman in the city of Ultima Thule. So, he has received the shaman knowledge about the correct bracket sequences. The shamans of Ultima Thule have been using lots of different types of brackets since prehistoric times. A bracket type is a positive integer. The shamans define ... | 24,552 |
Polycarp has quite recently learned about email aliases. Of course, he used to suspect that the case of the letters doesn't matter in email addresses. He also learned that a popular mail server in Berland bmail.com ignores dots (characters '.') and all the part of an address from the first character "plus" ('+') to cha... | 24,553 |
There is a long-established secondhand bookstore called JOI secondhand bookstore in your town, and you often use the JOI secondhand bookstore. Each book has a standard price, and you can buy it at that price if you go to the JOI secondhand bookstore.
At the JOI secondhand bookstore, books are classified into 10 genres... | 24,554 |
We constructed a rectangular parallelepiped of dimensions A \times B \times C built of ABC cubic blocks of side 1. Then, we placed the parallelepiped in xyz-space as follows:
* For every triple i, j, k (0 \leq i < A, 0 \leq j < B, 0 \leq k < C), there exists a block that has a diagonal connecting the points (i, j, k) ... | 24,555 |
You are given an integer sequence of length N: A_1,A_2,...,A_N. Let us perform Q operations in order. The i-th operation is described by two integers X_i and Y_i. In this operation, we will choose one of the following two actions and perform it:
* Swap the values of A_{X_i} and A_{Y_i}
* Do nothing
There are 2^Q wa... | 24,556 |
Semyon participates in the most prestigious competition of the world ocean for the title of the most dangerous shark. During this competition sharks compete in different subjects: speed swimming, masking, map navigation and many others. Now Semyon is taking part in «destruction» contest.
During it, m dominoes are plac... | 24,557 |
Chandler and Joey
Joey and Chandler got bored of playing foosball, so they thought of trying something new.As Joey is very intelligent so he invented a new game to play. The rules are as follows. First, they get a set of n distinct integers. And then they take turns to make the following moves. During each move, eithe... | 24,558 |
There is a grid with R rows and C columns. We call the cell in the r-th row and c-th column (r，c).
Mr. Takahashi wrote non-negative integers into N of the cells, that is, he wrote a non-negative integer a_i into (r_i，c_i) for each i (1≤i≤N). After that he fell asleep.
Mr. Aoki found the grid and tries to surprise Mr.... | 24,559 |
Sereja is playing a game called Winner Eats Sandwich with his friends. There are N persons in total, including Sereja. Sereja is allotted the number 1, while his friends are allotted numbers from 2 to N. A set of this game consists of M parts. Probability that a player numbered i wins part j of any set is p[i][j]. Sere... | 24,560 |
It’s riot time on football stadium Ramacana! Raging fans have entered the field and the police find themselves in a difficult situation. The field can be represented as a square in the coordinate system defined by two diagonal vertices in (0,0) and (105, 105). The sides of that square are also considered to be inside t... | 24,561 |
Serega and Fedor play with functions. One day they came across a very interesting function. It looks like that:
* f(1, j) = a[j], 1 ≤ j ≤ n.
* f(i, j) = min(f(i - 1, j), f(i - 1, j - 1)) + a[j], 2 ≤ i ≤ n, i ≤ j ≤ n.
Here a is an integer array of length n.
Serega and Fedya want to know what values this funct... | 24,562 |
One day, little Vasya found himself in a maze consisting of (n + 1) rooms, numbered from 1 to (n + 1). Initially, Vasya is at the first room and to get out of the maze, he needs to get to the (n + 1)-th one.
The maze is organized as follows. Each room of the maze has two one-way portals. Let's consider room number i (... | 24,563 |
After decrypting the code Enigma crew came to know that there are N locations where bombs has been planted. X1, X2 …. Xn are the N locations. Among this locations, one X location is the central hub which control all the other Xn-1 location. 1 or more than 1 signal is send to N locations. The decrypted code simplified ... | 24,564 |
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... | 24,565 |
Nathan O. Davis is a student at the department of integrated systems. He is now taking a class in in- tegrated curcuits. He is an idiot. One day, he got an assignment as follows: design a logic circuit that takes a sequence of positive integers as input, and that outputs a sequence of 1-bit integers from which the orig... | 24,566 |
Snuke is playing with red and blue balls, placing them on a two-dimensional plane.
First, he performed N operations to place red balls. In the i-th of these operations, he placed RC_i red balls at coordinates (RX_i,RY_i). Then, he performed another N operations to place blue balls. In the i-th of these operations, he ... | 24,567 |
Write a program which reads $n$ items and sorts them. Each item has attributes $\\{value, weight, type, date, name\\}$ and they are represented by $\\{$ integer, integer, upper-case letter, integer, string $\\}$ respectively. Sort the items based on the following priorities.
1. first by value (ascending)
2. in case of... | 24,568 |
Programmers generally love to play chess! You too have recently acquired an interest in playing chess and you find bishop to be the most fascinating warrior of all. During a random chess practice session, you are faced with this problem :
"Two bishops are lying on the chessboard. You can move only one of them. What i... | 24,569 |
This question is straight-forward.
Given length L cm and breadth B cm of a rectangular cardboard. You need to cut out the circles of diameter D cm from it. Find out the maximum number of circles you can cut out from it.
Since the value can be very large, give your answer in mod 10^9 + 7
Input:
First line of input co... | 24,570 |
Example
Input
4 6 5
-2 5
-2 -1
2 -1
2 5
-2 1
-2 0
0 0
0 -2
2 -2
2 1
Output
8 | 24,571 |
problem
There is a light bulb at the grid point $ (x, y) $ that meets $ 1 \ leq x \ leq h, 1 \ leq y \ leq w $.
The power supply is installed at coordinates $ (i + 0.5, j + 0.5) (1 \ leq i <h, 1 \ leq j <w, i + j $ is even) (corrected at 14:21). Coordinates $ When the power supply installed at (i + 0.5, j + 0.5) $ is... | 24,572 |
This year too, the time has come for the National Programming Championships. In the district tournament where the right to participate in the national tournament is bet, 2n teams will face each other in a one-on-one winning tournament system.
Team numbers 0, .. .2n − 1 are assigned to the tournament table, and the con... | 24,573 |
Chinna is preparing for an online entrance examination. The performance in the examination is measured on a rating scale of 1 to 10^6. Recently, Chinna came across an advertisement of an institution which guarantees an increase of 'd' in the rating for an examination for an hour of coaching. Chinna wants to excel the p... | 24,574 |
Pasha is a young technician, nevertheless, he has already got a huge goal: to assemble a PC. The first task he has to become familiar with is to assemble an electric scheme.
The scheme Pasha assembled yesterday consists of several wires. Each wire is a segment that connects two points on a plane with integer coordinat... | 24,575 |
ButCoder Inc. runs a programming competition site called ButCoder. In this site, a user is given an integer value called rating that represents his/her skill, which changes each time he/she participates in a contest. The initial value of a new user's rating is 0, and a user whose rating reaches K or higher is called Ka... | 24,576 |
Note that the only difference between String Transformation 1 and String Transformation 2 is in the move Koa does. In this version the letter y Koa selects must be strictly greater alphabetically than x (read statement for better understanding). You can make hacks in these problems independently.
Koa the Koala has two... | 24,577 |
A complete binary tree is a binary tree in which every internal node has two children and all leaves have the same depth. A binary tree in which if last level is not completely filled but all nodes (leaves) are pushed across to the left, is also (nearly) a complete binary tree.
A binary heap data structure is an array... | 24,578 |
Prof. Jenifer A. Gibson is carrying out experiments with many robots. Since those robots are expensive, she wants to avoid their crashes during her experiments at her all effort. So she asked you, her assistant, as follows.
“Suppose that we have n (2 ≤ n ≤ 100000) robots of the circular shape with the radius of r, and... | 24,579 |
You are given an array a_1, a_2, ... , a_n and two integers m and k.
You can choose some subarray a_l, a_{l+1}, ..., a_{r-1}, a_r.
The cost of subarray a_l, a_{l+1}, ..., a_{r-1}, a_r is equal to ∑_{i=l}^{r} a_i - k ⌈ (r - l + 1)/(m) ⌉, where ⌈ x ⌉ is the least integer greater than or equal to x.
The cost of empty... | 24,580 |
You are playing a new computer game in which you have to fight monsters. In a dungeon you are trying to clear, you met three monsters; the first of them has a health points, the second has b health points, and the third has c.
To kill the monsters, you can use a cannon that, when fired, deals 1 damage to the selected ... | 24,581 |
There is a street by the name of colorful street in the Pretty Town. The residents of the house have decided that they will paint their houses in either Pink, Orange or Yellow color and not other. They have also decided that no two adjacent houses will have the same color. For house i, i-1 and i+1 are the neighbors and... | 24,582 |
There are three friend living on the straight line Ox in Lineland. The first friend lives at the point x1, the second friend lives at the point x2, and the third friend lives at the point x3. They plan to celebrate the New Year together, so they need to meet at one point. What is the minimum total distance they have to... | 24,583 |
Dima loves Inna very much. He decided to write a song for her. Dima has a magic guitar with n strings and m frets. Dima makes the guitar produce sounds like that: to play a note, he needs to hold one of the strings on one of the frets and then pull the string. When Dima pulls the i-th string holding it on the j-th fret... | 24,584 |
After his wife's tragic death, Eurydice, Orpheus descended to the realm of death to see her. Reaching its gates was uneasy, but passing through them proved to be even more challenging. Mostly because of Cerberus, the three-headed hound of Hades.
Orpheus, a famous poet, and musician plans to calm Cerberus with his poe... | 24,585 |
Ivan has a robot which is situated on an infinite grid. Initially the robot is standing in the starting cell (0, 0). The robot can process commands. There are four types of commands it can perform:
* U — move from the cell (x, y) to (x, y + 1);
* D — move from (x, y) to (x, y - 1);
* L — move from (x, y) to (x... | 24,586 |
A lot of people dream of convertibles (also often called cabriolets). Some of convertibles, however, don't have roof at all, and are vulnerable to rain. This is why Melon Ask, the famous inventor, decided to create a rain protection mechanism for convertibles.
The workplace of the mechanism is a part of plane just abo... | 24,587 |
Milly loves to eat chocolates. She has N different chocolates. She needs to choose only one of them. At the moment, i^{th} chocolate already has P_{i} pieces. The j^{th} piece of the i^{th} chocolate requires T_{i,j} seconds to eat. Milly knows that she will take K seconds to break one piece from any chocolate and wait... | 24,588 |
It’s the company's 3^rd anniversary, and everyone is super-excited about it. There is a tradition in the company, that the interns decide the seating arrangement of all the members. The requirements of this order are:
The CEO of the company must sit in the middle. (In case of even number of team members, he can sit on ... | 24,589 |
You are given an array a of n integers.
You need to find the maximum value of a_{i} | ( a_{j} \& a_{k} ) over all triplets (i,j,k) such that i < j < k.
Here \& denotes the [bitwise AND operation](https://en.wikipedia.org/wiki/Bitwise_operation#AND), and | denotes the [bitwise OR operation](https://en.wikipedia.org/wi... | 24,590 |
Calculate the number of ways to place n rooks on n × n chessboard so that both following conditions are met:
* each empty cell is under attack;
* exactly k pairs of rooks attack each other.
An empty cell is under attack if there is at least one rook in the same row or at least one rook in the same column. Two... | 24,591 |
Today Oz is playing with two lists A and B. List A contains N elements. List B is formed by replacing every element of List A by average value of all elements before current element including current one. For example :
If list A is like : a, b, c then
list B will be like : \frac{a}{1}, \frac{a+b}{2}, \frac{a+b+c}{3} ... | 24,592 |
One particularly well-known fact about zombies is that they move and think terribly slowly. While we still don't know why their movements are so sluggish, the problem of laggy thinking has been recently resolved. It turns out that the reason is not (as previously suspected) any kind of brain defect – it's the opposite!... | 24,593 |
There is a set consisting of N distinct integers. The i-th smallest element in this set is S_i. We want to divide this set into two sets, X and Y, such that:
* The absolute difference of any two distinct elements in X is A or greater.
* The absolute difference of any two distinct elements in Y is B or greater.
How ... | 24,594 |
You and your friend are playing the game Mortal Kombat XI. You are trying to pass a challenge tower. There are n bosses in this tower, numbered from 1 to n. The type of the i-th boss is a_i. If the i-th boss is easy then its type is a_i = 0, otherwise this boss is hard and its type is a_i = 1.
During one session, eith... | 24,595 |
Unary is a minimalistic Brainfuck dialect in which programs are written using only one token.
Brainfuck programs use 8 commands: "+", "-", "[", "]", "<", ">", "." and "," (their meaning is not important for the purposes of this problem). Unary programs are created from Brainfuck programs using the following algorithm... | 24,596 |
Recently Petya has become keen on physics. Anna V., his teacher noticed Petya's interest and gave him a fascinating physical puzzle — a half-decay tree.
A half-decay tree is a complete binary tree with the height h. The height of a tree is the length of the path (in edges) from the root to a leaf in the tree. While s... | 24,597 |
H: Mercy
Santa Claus found a group doing programming even though it was Christmas.
Santa Claus felt sorry for them, so he decided to give them a cake.
There are $ N $ types of cream, and the taste is $ A_1, A_2, A_3, \ dots, A_N $.
There are $ M $ types of sponges, and the taste is $ B_1, B_2, B_3, \ dots, B_M $.
... | 24,598 |
C --Misawa's rooted tree
Problem Statement
You noticed that your best friend Misawa's birthday was near, and decided to give him a rooted binary tree as a gift. Here, the rooted binary tree has the following graph structure. (Figure 1)
* Each vertex has exactly one vertex called the parent of that vertex, which is c... | 24,599 |
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