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Snuke signed up for a new website which holds programming competitions.
He worried that he might forget his password, and he took notes of it.
Since directly recording his password would cause him trouble if stolen,
he took two notes: one contains the c... |
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Given is a tree with N vertices numbered 1 to N, and N-1 edges numbered 1 to N-1.
Edge i connects Vertex a_i and b_i bidirectionally and has a length of 1.
Snuke will paint each vertex white or black.
The niceness of a way of painting the graph is \max(... |
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The __Hamming weight__ of a string is the number of symbols that are different from the zero-symbol of the alphabet used. There are several algorithms for efficient computing of the Hamming weight for numbers. In this Kata, speaking technically, you hav... |
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Training is indispensable for achieving good results at ICPC. Rabbit wants to win at ICPC, so he decided to practice today as well.
Today's training is to gain dexterity that never mistypes by carefully stacking blocks. Since there are many building bl... |
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# Task
Smartphones software security has become a growing concern related to mobile telephony. It is particularly important as it relates to the security of available personal information.
For this reason, Ahmed decided to encrypt phone numbers of c... |
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"What are your shoe sizes?"
Suddenly, the doctor asked me when I met him for the first time.
"It's 23.5"
"Oh, that's a really nice number. It's 2 to the 4th power plus 2 to the 2nd power, 2 to the 1st power, 2 to the 0th power, and 2 to the 1st power.... |
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# Task
Consider the following algorithm for constructing 26 strings S(1) .. S(26):
```
S(1) = "a";
For i in [2, 3, ..., 26]:
S(i) = S(i - 1) + character(i) + S(i - 1).```
For example:
```
S(1) = "a"
S(2) = S(1) + "b" + S(1) = "a" + "b" + "a" = "aba"
... |
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Slime and his $n$ friends are at a party. Slime has designed a game for his friends to play.
At the beginning of the game, the $i$-th player has $a_i$ biscuits. At each second, Slime will choose a biscuit randomly uniformly among all $a_1 + a_2 + \ldot... |
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Поликарп мечтает стать программистом и фанатеет от степеней двойки. Среди двух чисел ему больше нравится то, которое делится на большую степень числа 2.
По заданной последовательности целых положительных чисел a_1, a_2, ..., a_{n} требуется найти r — ... |
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You certainly can tell which is the larger number between 2^(10) and 2^(15).
But what about, say, 2^(10) and 3^(10)? You know this one too.
Things tend to get a bit more complicated with **both** different bases and exponents: which is larger between ... |
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ZS the Coder is playing a game. There is a number displayed on the screen and there are two buttons, ' + ' (plus) and '<image>' (square root). Initially, the number 2 is displayed on the screen. There are n + 1 levels in the game and ZS the Coder start ... |
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[Run-length encoding](http://en.wikipedia.org/wiki/Run-length_encoding) (RLE) is a very simple form of lossless data compression in which runs of data are stored as a single data value and count.
A simple form of RLE would encode the string `"AAABBBCCC... |
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Petya loves lucky numbers. We all know that lucky numbers are the positive integers whose decimal representations contain only the lucky digits 4 and 7. For example, numbers 47, 744, 4 are lucky and 5, 17, 467 are not.
Petya wonders eagerly what minimu... |
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Dr. A of the Aizu Institute of Biological Research discovered a mysterious insect on a certain southern island. The shape is elongated like a hornworm, but since one segment is shaped like a ball, it looks like a beaded ball connected by a thread. What ... |
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Read problems statements in Mandarin Chinese and Russian as well.
After IOI Ilya decided to make a business. He found a social network called "TheScorpyBook.com". It currently has N registered users. As in any social network two users can be friends.... |
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Petr stands in line of n people, but he doesn't know exactly which position he occupies. He can say that there are no less than a people standing in front of him and no more than b people standing behind him. Find the number of different positions Petr ... |
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We have a sequence of N \times K integers: X=(X_0,X_1,\cdots,X_{N \times K-1}). Its elements are represented by another sequence of N integers: A=(A_0,A_1,\cdots,A_{N-1}). For each pair i, j (0 \leq i \leq K-1,\ 0 \leq j \leq N-1), X_{i \times N + j}=A_... |
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```if-not:julia,racket
Write a function that returns the total surface area and volume of a box as an array: `[area, volume]`
```
```if:julia
Write a function that returns the total surface area and volume of a box as a tuple: `(area, volume)`
```
```if... |
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Takahashi will take part in an eating contest. Teams of N members will compete in this contest, and Takahashi's team consists of N players numbered 1 through N from youngest to oldest. The consumption coefficient of Member i is A_i.
In the contest, N fo... |
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You are given two integers $n$ and $m$ ($m < n$). Consider a convex regular polygon of $n$ vertices. Recall that a regular polygon is a polygon that is equiangular (all angles are equal in measure) and equilateral (all sides have the same length). [Imag... |
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Arkady decided to buy roses for his girlfriend.
A flower shop has white, orange and red roses, and the total amount of them is n. Arkady thinks that red roses are not good together with white roses, so he won't buy a bouquet containing both red and whi... |
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You are given two integers $a$ and $b$. Moreover, you are given a sequence $s_0, s_1, \dots, s_{n}$. All values in $s$ are integers $1$ or $-1$. It's known that sequence is $k$-periodic and $k$ divides $n+1$. In other words, for each $k \leq i \leq n$ i... |
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A one-dimensional Japanese crossword can be represented as a binary string of length x. An encoding of this crossword is an array a of size n, where n is the number of segments formed completely of 1's, and a_{i} is the length of i-th segment. No two se... |
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You are given an undirected unweighted graph with N vertices and M edges that contains neither self-loops nor double edges.
Here, a self-loop is an edge where a_i = b_i (1≤i≤M), and double edges are two edges where (a_i,b_i)=(a_j,b_j) or (a_i,b_i)=(b_j... |
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Example
Input
mmemewwemeww
Output
Cat
Read the inputs from stdin solve the problem and write the answer to stdout (do not directly test on the sample inputs). Enclose your code within ```python delimiters. |
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Devu has an array A consisting of N positive integers. He would like to perform following operation on array.
- Pick some two elements a, b in the array (a could be same as b, but their corresponding indices in the array should not be same).
Remove bot... |
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You've come to your favorite store Infinitesco to buy some ice tea.
The store sells ice tea in bottles of different volumes at different costs. Specifically, a 0.25-liter bottle costs Q yen, a 0.5-liter bottle costs H yen, a 1-liter bottle costs S yen,... |
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The Physical education teacher at SESC is a sort of mathematician too. His most favorite topic in mathematics is progressions. That is why the teacher wants the students lined up in non-decreasing height form an arithmetic progression.
To achieve the g... |
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Peter can see a clock in the mirror from the place he sits in the office.
When he saw the clock shows 12:22
1
2
3
4
5
6
7
8
9
10
11
12
He knows that the time is 11:38
1
2
3
4
5
6
7
8
9
10
11
12
in the same manner:
05:25 --> 06:35
01:50 -... |
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You are given a non-empty string s=s_1s_2... s_n, which consists only of lowercase Latin letters. Polycarp does not like a string if it contains at least one string "one" or at least one string "two" (or both at the same time) as a substring. In other w... |
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Given an integer N, find the base -2 representation of N.
Here, S is the base -2 representation of N when the following are all satisfied:
- S is a string consisting of 0 and 1.
- Unless S = 0, the initial character of S is 1.
- Let S = S_k S_{k-1} .... |
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Little Vasya has received a young builder’s kit. The kit consists of several wooden bars, the lengths of all of them are known. The bars can be put one on the top of the other if their lengths are the same.
Vasya wants to construct the minimal number o... |
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Treeland is a country in which there are n towns connected by n - 1 two-way road such that it's possible to get from any town to any other town.
In Treeland there are 2k universities which are located in different towns.
Recently, the president sign... |
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Monocarp is playing a computer game. He's going to kill $n$ monsters, the $i$-th of them has $h_i$ health.
Monocarp's character has two spells, either of which he can cast an arbitrary number of times (possibly, zero) and in an arbitrary order:
choose... |
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For this kata, you are given three points ```(x1,y1,z1)```, ```(x2,y2,z2)```, and ```(x3,y3,z3)``` that lie on a straight line in 3-dimensional space.
You have to figure out which point lies in between the other two.
Your function should return 1, 2, o... |
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Mad scientist Mike has just finished constructing a new device to search for extraterrestrial intelligence! He was in such a hurry to launch it for the first time that he plugged in the power wires without giving it a proper glance and started experimen... |
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Nick has n bottles of soda left after his birthday. Each bottle is described by two values: remaining amount of soda a_{i} and bottle volume b_{i} (a_{i} ≤ b_{i}).
Nick has decided to pour all remaining soda into minimal number of bottles, moreover he ... |
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Mike is the president of country What-The-Fatherland. There are n bears living in this country besides Mike. All of them are standing in a line and they are numbered from 1 to n from left to right. i-th bear is exactly a_{i} feet high.
[Image]
A gr... |
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Adilbek's house is located on a street which can be represented as the OX axis. This street is really dark, so Adilbek wants to install some post lamps to illuminate it. Street has $n$ positions to install lamps, they correspond to the integer numbers f... |
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If the girl doesn't go to Denis, then Denis will go to the girl. Using this rule, the young man left home, bought flowers and went to Nastya.
On the way from Denis's house to the girl's house is a road of $n$ lines. This road can't be always crossed i... |
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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, resp... |
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A sequence of $n$ numbers is called a permutation if it contains all integers from $1$ to $n$ exactly once. For example, the sequences [$3, 1, 4, 2$], [$1$] and [$2,1$] are permutations, but [$1,2,1$], [$0,1$] and [$1,3,4$] — are not.
Polycarp lost his... |
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There is a triangle formed by three points $(x_1, y_1)$, $(x_2, y_2)$, $(x_3, y_3)$ on a plain.
Write a program which prints "YES" if a point $P$ $(x_p, y_p)$ is in the triangle and "NO" if not.
Constraints
You can assume that:
* $ -100 \leq x_1, y_... |
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# Task
You're given a two-dimensional array of integers `matrix`. Your task is to determine the smallest non-negative integer that is not present in this array.
# Input/Output
- `[input]` 2D integer array `matrix`
A non-empty rectangular matrix.... |
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You are given N integers; the i-th of them is A_i. Find the maximum possible sum of the absolute differences between the adjacent elements after arranging these integers in a row in any order you like.
Constraints
* 2 \leq N \leq 10^5
* 1 \leq A_i \le... |
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Triangular number is the amount of points that can fill equilateral triangle.
Example: the number 6 is a triangular number because all sides of a triangle has the same amount of points.
```
Hint!
T(n) = n * (n + 1) / 2,
n - is the size of one side.
T... |
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You are given a permutation of integers from 1 to n. Exactly once you apply the following operation to this permutation: pick a random segment and shuffle its elements. Formally: Pick a random segment (continuous subsequence) from l to r. All $\frac{n(... |
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There are two standard ways to represent a graph $G = (V, E)$, where $V$ is a set of vertices and $E$ is a set of edges; Adjacency list representation and Adjacency matrix representation.
An adjacency-list representation consists of an array $Adj[|V|]$... |
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Given are integers A, B, and N.
Find the maximum possible value of floor(Ax/B) - A × floor(x/B) for a non-negative integer x not greater than N.
Here floor(t) denotes the greatest integer not greater than the real number t.
-----Constraints-----
- 1 ≤... |
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Everybody seems to think that the Martians are green, but it turns out they are metallic pink and fat. Ajs has two bags of distinct nonnegative integers. The bags are disjoint, and the union of the sets of numbers in the bags is \{0,1,…,M-1\}, for some ... |
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Professor Pathfinder is a distinguished authority on the structure of hyperlinks in the World Wide Web. For establishing his hypotheses, he has been developing software agents, which automatically traverse hyperlinks and analyze the structure of the Web... |
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From Wikipedia : "The n-back task is a continuous performance task that is commonly used as an assessment in cognitive neuroscience to measure a part of working memory and working memory capacity. [...] The subject is presented with a sequence of stimul... |
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Utkarsh is forced to play yet another one of Ashish's games. The game progresses turn by turn and as usual, Ashish moves first.
Consider the 2D plane. There is a token which is initially at $(0,0)$. In one move a player must increase either the $x$ coo... |
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Snuke loves constructing integer sequences.
There are N piles of stones, numbered 1 through N.
The pile numbered i consists of a_i stones.
Snuke will construct an integer sequence s of length Σa_i, as follows:
- Among the piles with the largest number ... |
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For given three integers $a, b, c$, print the minimum value and the maximum value.
Constraints
* $-1,000,000,000 \leq a, b, c \leq 1,000,000,000$
Input
The input is given in the following format.
$a \; b \; c\;$
Three integers $a, b, c$ are give... |
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Ania has a large integer S. Its decimal representation has length n and doesn't contain any leading zeroes. Ania is allowed to change at most k digits of S. She wants to do it in such a way that S still won't contain any leading zeroes and it'll be mini... |
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Determine if we can choose K different integers between 1 and N (inclusive) so that no two of them differ by 1.
Constraints
* 1\leq N,K\leq 100
* N and K are integers.
Input
Input is given from Standard Input in the following format:
N K
Output
... |
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The Chef has prepared the appetizers in the shapes of letters to spell a special message for the guests. There are n appetizers numbered from 0 to n-1 such that if the appetizers are arrayed in this order, they will display the message. The Chef plans t... |
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There are N observatories in AtCoder Hill, called Obs. 1, Obs. 2, ..., Obs. N. The elevation of Obs. i is H_i.
There are also M roads, each connecting two different observatories. Road j connects Obs. A_j and Obs. B_j.
Obs. i is said to be good when its... |
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Given is a positive integer L.
Find the maximum possible volume of a rectangular cuboid whose sum of the dimensions (not necessarily integers) is L.
-----Constraints-----
- 1 ≤ L ≤ 1000
- L is an integer.
-----Input-----
Input is given from Standard... |
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Recently you have bought a snow walking robot and brought it home. Suppose your home is a cell $(0, 0)$ on an infinite grid.
You also have the sequence of instructions of this robot. It is written as the string $s$ consisting of characters 'L', 'R', 'U... |
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Maxim has opened his own restaurant! The restaurant has got a huge table, the table's length is p meters.
Maxim has got a dinner party tonight, n guests will come to him. Let's index the guests of Maxim's restaurant from 1 to n. Maxim knows the sizes o... |
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British mathematician John Littlewood once said about Indian mathematician Srinivasa Ramanujan that "every positive integer was one of his personal friends."
It turns out that positive integers can also be friends with each other! You are given an arra... |
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Our hardworking chef is bored of sleeping in his restaurants. He has decided to settle down. The first thing he must do is to find a suitable location to build a palatial home.
Think of the city as a two-dimensional grid. There are N restaurants in ... |
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Sagheer is playing a game with his best friend Soliman. He brought a tree with n nodes numbered from 1 to n and rooted at node 1. The i-th node has a_{i} apples. This tree has a special property: the lengths of all paths from the root to any leaf have t... |
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To participate in a prize draw each one gives his/her firstname.
Each letter of a firstname
has a value which is its rank in the English alphabet. `A` and `a` have rank `1`, `B` and `b` rank `2` and so on.
The *length* of the firstname is added to t... |
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It started as a discussion with a friend, who didn't fully grasp some way of setting defaults, but I thought the idea was cool enough for a beginner kata: binary `OR` each matching element of two given arrays (or lists, if you do it in Python; vectors i... |
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Compute A + B.
Constraints
* -1000 ≤ A, B ≤ 1000
Input
The input will consist of a series of pairs of integers A and B separated by a space, one pair of integers per line. The input will be terminated by EOF.
Output
For each pair of input integers... |
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In the city of Saint Petersburg, a day lasts for $2^{100}$ minutes. From the main station of Saint Petersburg, a train departs after $1$ minute, $4$ minutes, $16$ minutes, and so on; in other words, the train departs at time $4^k$ for each integer $k \g... |
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You are given a rooted tree consisting of $n$ vertices numbered from $1$ to $n$. The root of the tree is a vertex number $1$.
A tree is a connected undirected graph with $n-1$ edges.
You are given $m$ queries. The $i$-th query consists of the set of $... |
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Two positive integers a and b have a sum of s and a bitwise XOR of x. How many possible values are there for the ordered pair (a, b)?
-----Input-----
The first line of the input contains two integers s and x (2 ≤ s ≤ 10^12, 0 ≤ x ≤ 10^12), the sum an... |
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Koto Municipal Subway
Koto Municipal Subway
Koto City is a famous city whose roads are in a grid pattern, as shown in the figure below. The roads extending from north to south and the roads extending from east to west are lined up at intervals of 1 km... |
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Failed Sort - Bug Fixing #4
Oh no, Timmy's Sort doesn't seem to be working? Your task is to fix the sortArray function to sort all numbers in ascending order
Write your solution by modifying this code:
```python
def sort_array(value):
```
Your solu... |
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There are N slimes standing on a number line. The i-th slime from the left is at position x_i.
It is guaruanteed that 1 \leq x_1 < x_2 < \ldots < x_N \leq 10^{9}.
Niwango will perform N-1 operations. The i-th operation consists of the following proced... |
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A binary string is a string that consists of characters $0$ and $1$.
Let $\operatorname{MEX}$ of a binary string be the smallest digit among $0$, $1$, or $2$ that does not occur in the string. For example, $\operatorname{MEX}$ of $001011$ is $2$, becau... |
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A Bingo game is played by one gamemaster and several players. At the beginning of a game, each player is given a card with M × M numbers in a matrix (See Figure 10).
<image>
As the game proceeds, the gamemaster announces a series of numbers one by one... |
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The average miner Vaganych took refresher courses. As soon as a miner completes the courses, he should take exams. The hardest one is a computer test called "Testing Pants for Sadness".
The test consists of n questions; the questions are to be answered... |
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Arpa is taking a geometry exam. Here is the last problem of the exam.
You are given three points a, b, c.
Find a point and an angle such that if we rotate the page around the point by the angle, the new position of a is the same as the old position of... |
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Find the number of ways to choose a pair of an even number and an odd number from the positive integers between 1 and K (inclusive). The order does not matter.
-----Constraints-----
- 2\leq K\leq 100
- K is an integer.
-----Input-----
Input is given... |
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There are n kangaroos with pockets. Each kangaroo has a size (integer number). A kangaroo can go into another kangaroo's pocket if and only if the size of kangaroo who hold the kangaroo is at least twice as large as the size of kangaroo who is held.
Ea... |
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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 sma... |
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Takahashi is not good at problems about trees in programming contests, and Aoki is helping him practice.
First, Takahashi created a tree with N vertices numbered 1 through N, and wrote 0 at each edge.
Then, Aoki gave him M queries. The i-th of them is... |
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The city of Fishtopia can be imagined as a grid of 4 rows and an odd number of columns. It has two main villages; the first is located at the top-left cell (1,1), people who stay there love fishing at the Tuna pond at the bottom-right cell (4, n). The s... |
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Vasya is about to take his first university exam in about several minutes. And it's not just some ordinary exam, it's on mathematical analysis. Of course, right now Vasya can only think of one thing: what the result of his talk with the examiner will be... |
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The only difference between easy and hard versions is constraints.
If you write a solution in Python, then prefer to send it in PyPy to speed up execution time.
A session has begun at Beland State University. Many students are taking exams.
Polygraph... |
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Some new animals have arrived at the zoo. The zoo keeper is concerned that perhaps the animals do not have the right tails. To help her, you must correct the broken function to make sure that the second argument (tail), is the same as the last letter of... |
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Dima got into number sequences. Now he's got sequence a_1, a_2, ..., a_{n}, consisting of n positive integers. Also, Dima has got a function f(x), which can be defined with the following recurrence: f(0) = 0; f(2·x) = f(x); f(2·x + 1) = f(x) + 1.
D... |
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Read problems statements in Mandarin Chinese , Russian and Vietnamese as well.
Chef belongs to a very rich family which owns many gold mines. Today, he brought N gold coins and decided to form a triangle using these coins. Isn't it strange?
Chef has ... |
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Your goal in this kata is to implement a difference function, which subtracts one list from another and returns the result.
It should remove all values from list `a`, which are present in list `b`.
```python
array_diff([1,2],[1]) == [2]
```
If a valu... |
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Misha and Vanya have played several table tennis sets. Each set consists of several serves, each serve is won by one of the players, he receives one point and the loser receives nothing. Once one of the players scores exactly k points, the score is rese... |
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This problem consists of three subproblems: for solving subproblem F1 you will receive 8 points, for solving subproblem F2 you will receive 15 points, and for solving subproblem F3 you will receive 10 points.
Manao has developed a model to predict the ... |
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This is the easy version of the problem. The difference between the versions is in the number of possible operations that can be made. You can make hacks if and only if you solved both versions of the problem.
You are given a binary table of size n × m... |
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For a finite set of integers X, let f(X)=\max X - \min X.
Given are N integers A_1,...,A_N.
We will choose K of them and let S be the set of the integers chosen. If we distinguish elements with different indices even when their values are the same, ther... |
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Some time ago Leonid have known about idempotent functions. Idempotent function defined on a set {1, 2, ..., n} is such function $g : \{1,2, \ldots, n \} \rightarrow \{1,2, \ldots, n \}$, that for any $x \in \{1,2, \ldots, n \}$ the formula g(g(x)) = g(... |
Solve the programming task below in a Python markdown code block.
How Many Divisors?
Write a program which reads three integers a, b and c, and prints the number of divisors of c between a and b.
Constraints
* 1 ≤ a, b, c ≤ 10000
* a ≤ b
Input
Three integers a, b and c are given in a line separated by a single sp... |
Solve the programming task below in a Python markdown code block.
Gilbert is the network admin of Ginkgo company. His boss is mad about the messy network cables on the floor. He finally walked up to Gilbert and asked the lazy network admin to illustrate how computers and switches are connected. Since he is a programme... |
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According to a new ISO standard, a flag of every country should have, strangely enough, a chequered field n × m, each square should be wholly painted one of 26 colours. The following restrictions are set:
* In each row at most two different colours ... |
Solve the programming task below in a Python markdown code block.
Can you imagine our life if we removed all zeros from it? For sure we will have many problems.
In this problem we will have a simple example if we removed all zeros from our life, it's the addition operation. Let's assume you are given this equation a ... |
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You've had a baby.
Well done. Nice isn't it? Life destroying... but in a good way.
Part of your new routine is lying awake at night worrying that you've either lost the baby... or that you have more than 1!
Given a string of words (x), you need to ca... |
Solve the programming task below in a Python markdown code block.
Sereja loves all sorts of algorithms. He has recently come up with a new algorithm, which receives a string as an input. Let's represent the input string of the algorithm as q = q_1q_2... q_{k}. The algorithm consists of two steps:
Find any continuou... |
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