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Solve the programming task below in a Python markdown code block.
Compute A \times B.
Constraints
* 1 \leq A \leq 100
* 1 \leq B \leq 100
* All values in input are integers.
Input
Input is given from Standard Input in the following format:
A B
Output
Print the value A \times B as an integer.
Examples
Input
... |
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Caracal is fighting with a monster.
The health of the monster is H.
Caracal can attack by choosing one monster. When a monster is attacked, depending on that monster's health, the following happens:
* If the monster's health is 1, it drops to 0.
* If... |
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Takahashi's house has only one socket.
Takahashi wants to extend it with some number of power strips, each with A sockets, into B or more empty sockets.
One power strip with A sockets can extend one empty socket into A empty sockets.
Find the minimum... |
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Consider a circle whose perimeter is divided by N points into N arcs of equal length, and each of the arcs is painted red or blue. Such a circle is said to generate a string S from every point when the following condition is satisfied:
* We will arbitr... |
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Coloring of the vertices of a tree G is called a good coloring when, for every pair of two vertices u and v painted in the same color, picking u as the root and picking v as the root would result in isomorphic rooted trees.
Also, the colorfulness of G ... |
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You are given an undirected graph G. G has N vertices and M edges. The vertices are numbered from 1 through N, and the i-th edge (1 β€ i β€ M) connects Vertex a_i and b_i. G does not have self-loops and multiple edges.
You can repeatedly perform the oper... |
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We have N irregular jigsaw pieces. Each piece is composed of three rectangular parts of width 1 and various heights joined together. More specifically:
* The i-th piece is a part of height H, with another part of height A_i joined to the left, and yet ... |
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Write a program that reads the coordinates of the vertices of a convex n-sided polygon (a polygon whose internal angles are less than 180 degrees, that is, a polygon that is not dented) and outputs its area. The vertices are named Vertex 1, Vertex 2, Ve... |
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At Akabeko Elementary School, all the students participate in a slightly unusual jogging. Students run their own lap courses at their own pace. After going around each of your courses, you will be returned to elementary school. How many laps do they all... |
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She is an extraordinary girl. She works for a library. Since she is young and cute, she is forced to do a lot of laborious jobs. The most annoying job for her is to put returned books into shelves, carrying them by a cart. The cart is large enough to ca... |
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On Planet MM-21, after their Olympic games this year, curling is getting popular. But the rules are somewhat different from ours. The game is played on an ice game board on which a square mesh is marked. They use only a single stone. The purpose of the ... |
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Hideyuki is allowed by his father Ujisato some 1000 yen bills every month for his pocket money. In the first day of every month, the number of bills is decided as follows. Ujisato prepares n pieces of m-sided dice and declares the cutback k. Hideyuki ro... |
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Nate U. Smith runs a railroad company in a metropolitan area. In addition to his railroad company, there are rival railroad companies in this metropolitan area. The two companies are in a competitive relationship with each other.
In this metropolitan a... |
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Dr. Fukuoka has placed a simple robot in a two-dimensional maze. It moves within the maze and never goes out of the maze as there is no exit.
The maze is made up of H Γ W grid cells as depicted below. The upper side of the maze faces north. Consequentl... |
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There is a complete graph of m vertices. Initially, the edges of the complete graph are uncolored. Sunuke did the following for each i (1 β€ i β€ n): Select ai vertices from the complete graph and color all edges connecting the selected vertices with colo... |
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Example
Input
1
Output
)(
The input will be give
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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For given n points in metric space, find the distance of the closest points.
Constraints
* 2 β€ n β€ 100,000
* -100 β€ x, y β€ 100
Input
n
x0 y0
x1 y1
:
xn-1 yn-1
The first integer n is the number of points.
In the following n lines, the coordinate ... |
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For given an integer $n$, print all permutations of $\\{1, 2, ..., n\\}$ in lexicographic order.
Constraints
* $1 \leq n \leq 9$
Input
An integer $n$ is given in a line.
Output
Print each permutation in a line in order. Separate adjacency elements... |
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Vasya has a sequence a consisting of n integers a_1, a_2, ..., a_n. Vasya may pefrom the following operation: choose some number from the sequence and swap any pair of bits in its binary representation. For example, Vasya can transform number 6 (... 000... |
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On a chessboard with a width of 10^9 and a height of 10^9, the rows are numbered from bottom to top from 1 to 10^9, and the columns are numbered from left to right from 1 to 10^9. Therefore, for each cell of the chessboard you can assign the coordinates... |
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Vasya is preparing a contest, and now he has written a statement for an easy problem. The statement is a string of length n consisting of lowercase Latin latters. Vasya thinks that the statement can be considered hard if it contains a subsequence hard; ... |
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This is an interactive problem. Remember to flush your output while communicating with the testing program. You may use fflush(stdout) in C++, system.out.flush() in Java, stdout.flush() in Python or flush(output) in Pascal to flush the output. If you us... |
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A string is called diverse if it contains consecutive (adjacent) letters of the Latin alphabet and each letter occurs exactly once. For example, the following strings are diverse: "fced", "xyz", "r" and "dabcef". The following string are not diverse: "a... |
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Nikolay lives in a two-storied house. There are n rooms on each floor, arranged in a row and numbered from one from left to right. So each room can be represented by the number of the floor and the number of the room on this floor (room number is an int... |
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Today, Yasser and Adel are at the shop buying cupcakes. There are n cupcake types, arranged from 1 to n on the shelf, and there are infinitely many of each type. The tastiness of a cupcake of type i is an integer a_i. There are both tasty and nasty cupc... |
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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 k_i distinct ve... |
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Phoenix is picking berries in his backyard. There are n shrubs, and each shrub has a_i red berries and b_i blue berries.
Each basket can contain k berries. But, Phoenix has decided that each basket may only contain berries from the same shrub or berrie... |
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Lee just became Master in Codeforces, and so, he went out to buy some gifts for his friends. He bought n integers, now it's time to distribute them between his friends rationally...
Lee has n integers a_1, a_2, β¦, a_n in his backpack and he has k frien... |
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Consider a conveyor belt represented using a grid consisting of n rows and m columns. The cell in the i-th row from the top and the j-th column from the left is labelled (i,j).
Every cell, except (n,m), has a direction R (Right) or D (Down) assigned t... |
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Meka-Naruto plays a computer game. His character has the following ability: given an enemy hero, deal a instant damage to him, and then heal that enemy b health points at the end of every second, for exactly c seconds, starting one second after the abil... |
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You are given four different integer points p_1, p_2, p_3 and p_4 on XY grid.
In one step you can choose one of the points p_i and move it in one of four directions by one. In other words, if you have chosen point p_i = (x, y) you can move it to (x, y ... |
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You are given a text that consists of lowercase Latin letters, spaces and punctuation marks (dot, comma, exclamation mark and question mark). A word is defined as a sequence of consecutive Latin letters.
Your task is to add spaces to the text by the fo... |
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A permutation is a sequence of n integers from 1 to n, in which all numbers occur exactly once. For example, [1], [3, 5, 2, 1, 4], [1, 3, 2] are permutations, and [2, 3, 2], [4, 3, 1], [0] are not.
Polycarp was presented with a permutation p of numbers... |
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The Two-dimensional kingdom is going through hard times... This morning the Three-Dimensional kingdom declared war on the Two-dimensional one. This (possibly armed) conflict will determine the ultimate owner of the straight line.
The Two-dimensional ki... |
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Patrick has just finished writing a message to his sweetheart Stacey when he noticed that the message didn't look fancy. Patrick was nervous while writing the message, so some of the letters there were lowercase and some of them were uppercase.
Patrick... |
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Little Petya likes arrays that consist of non-negative integers a lot. Recently his mom has presented him one such array consisting of n elements. Petya immediately decided to find there a segment of consecutive elements, such that the xor of all number... |
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Convexity of a set of points on the plane is the size of the largest subset of points that form a convex polygon. Your task is to build a set of n points with the convexity of exactly m. Your set of points should not contain three points that lie on a s... |
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Connected undirected graph without cycles is called a tree. Trees is a class of graphs which is interesting not only for people, but for ants too.
An ant stands at the root of some tree. He sees that there are n vertexes in the tree, and they are conne... |
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This task will exclusively concentrate only on the arrays where all elements equal 1 and/or 2.
Array a is k-period if its length is divisible by k and there is such array b of length k, that a is represented by array b written exactly <image> times con... |
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Andrey needs one more problem to conduct a programming contest. He has n friends who are always willing to help. He can ask some of them to come up with a contest problem. Andrey knows one value for each of his fiends β the probability that this friend ... |
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Andrew and Eugene are playing a game. Initially, Andrew has string s, consisting of digits. Eugene sends Andrew multiple queries of type "di β ti", that means "replace all digits di in string s with substrings equal to ti". For example, if s = 123123, t... |
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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 {x1, x2, x3, x4} (x1 β€ x2 β€ x3 β€ x4) ari... |
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Fox Ciel is going to publish a paper on FOCS (Foxes Operated Computer Systems, pronounce: "Fox"). She heard a rumor: the authors list on the paper is always sorted in the lexicographical order.
After checking some examples, she found out that sometime... |
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Tavas is a strange creature. Usually "zzz" comes out of people's mouth while sleeping, but string s of length n comes out from Tavas' mouth instead.
<image>
Today Tavas fell asleep in Malekas' place. While he was sleeping, Malekas did a little process... |
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Gerald got a very curious hexagon for his birthday. The boy found out that all the angles of the hexagon are equal to <image>. Then he measured the length of its sides, and found that each of them is equal to an integer number of centimeters. There the ... |
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Alice and Bob decided to eat some fruit. In the kitchen they found a large bag of oranges and apples. Alice immediately took an orange for herself, Bob took an apple. To make the process of sharing the remaining fruit more fun, the friends decided to pl... |
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Sean is trying to save a large file to a USB flash drive. He has n USB flash drives with capacities equal to a1, a2, ..., an megabytes. The file size is equal to m megabytes.
Find the minimum number of USB flash drives needed to write Sean's file, if ... |
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++++++++[>+>++>+++>++++>+++++>++++++>+++++++>++++++++>+++++++++>++++++++++>+
++++++++++>++++++++++++>+++++++++++++>++++++++++++++>+++++++++++++++>+++++++
+++++++++<<<<<<<<<<<<<<<<-]>>>>>>>>>>.<<<<<<<<<<>>>>>>>>>>>>>>++.--<<<<<<<<<
... |
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Professor Phunsuk Wangdu has performed some experiments on rays. The setup for n rays is as follows.
There is a rectangular box having exactly n holes on the opposite faces. All rays enter from the holes of the first side and exit from the holes of the... |
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Vasiliy has a car and he wants to get from home to the post office. The distance which he needs to pass equals to d kilometers.
Vasiliy's car is not new β it breaks after driven every k kilometers and Vasiliy needs t seconds to repair it. After repairi... |
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Earlier, when there was no Internet, each bank had a lot of offices all around Bankopolis, and it caused a lot of problems. Namely, each day the bank had to collect cash from all the offices.
Once Oleg the bank client heard a dialogue of two cash colle... |
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There are n animals in the queue to Dr. Dolittle. When an animal comes into the office, the doctor examines him, gives prescriptions, appoints tests and may appoint extra examination. Doc knows all the forest animals perfectly well and therefore knows e... |
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A very brave explorer Petya once decided to explore Paris catacombs. Since Petya is not really experienced, his exploration is just walking through the catacombs.
Catacombs consist of several rooms and bidirectional passages between some pairs of them.... |
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The Rebel fleet is afraid that the Empire might want to strike back again. Princess Heidi needs to know if it is possible to assign R Rebel spaceships to guard B bases so that every base has exactly one guardian and each spaceship has exactly one assign... |
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Printf{}, Pappu Bhujia, mon_ki_onkh are playing Counter Strike 1.6 . Printf{} and Pappu Bhujia are in the same team (Counter Terrorists) and mon_ki_onkh is in the opposite team (Terrorists). It is a 2 on 1 round. The players playing have enough guns and... |
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There are N persons called Person 1 through Person N.
You are given M facts that "Person A_i and Person B_i are friends." The same fact may be given multiple times.
If X and Y are friends, and Y and Z are friends, then X and Z are also friends. There ... |
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For an integer n not less than 0, let us define f(n) as follows:
* f(n) = 1 (if n < 2)
* f(n) = n f(n-2) (if n \geq 2)
Given is an integer N. Find the number of trailing zeros in the decimal notation of f(N).
Constraints
* 0 \leq N \leq 10^{18}
I... |
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There are N apple trees in a row. People say that one of them will bear golden apples.
We want to deploy some number of inspectors so that each of these trees will be inspected.
Each inspector will be deployed under one of the trees. For convenience, ... |
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You are given positive integers A and B.
Find the K-th largest positive integer that divides both A and B.
The input guarantees that there exists such a number.
Constraints
* All values in input are integers.
* 1 \leq A, B \leq 100
* The K-th larges... |
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You are given positive integers N and M.
How many sequences a of length N consisting of positive integers satisfy a_1 \times a_2 \times ... \times a_N = M? Find the count modulo 10^9+7.
Here, two sequences a' and a'' are considered different when ther... |
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There are 2^N players, numbered 1, 2, ..., 2^N. They decided to hold a tournament.
The tournament proceeds as follows:
* Choose a permutation of 1, 2, ..., 2^N: p_1, p_2, ..., p_{2^N}.
* The players stand in a row in the order of Player p_1, Player p_... |
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We have a string s consisting of lowercase English letters. Snuke can perform the following operation repeatedly:
* Insert a letter `x` to any position in s of his choice, including the beginning and end of s.
Snuke's objective is to turn s into a p... |
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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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In an electric circuit, when two resistors R_1 and R_2 are connected in parallel, the equivalent resistance R_3 can be derived from the following formula:
* \frac{1}{R_1} + \frac{1}{R_2} = \frac{1}{R_3}
Given R_1 and R_2, find R_3.
Constraints
* 1... |
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Taro is playing with a puzzle that places numbers 1-9 in 9x9 squares. In this puzzle, you have to arrange the numbers according to the following rules.
* One number appears exactly once in the same column
* A number appears exactly once on the same lin... |
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The reciprocal of all non-zero real numbers is real, but the reciprocal of an integer is not necessarily an integer. This is the reason why 3/2 * 2 = 2 even though 3.0 / 2.0 * 2.0 = 3.0 in C language. However, if you consider integers with the same rema... |
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problem
There are the following two-player card games.
* This game uses a total of 2n cards with each integer from 1 to 2n written on it. Here, n is an integer between 1 and 100.
* Deal n cards to each of the two.
* Put cards into play alternately one... |
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To write a research paper, you should definitely follow the structured format. This format, in many cases, is strictly defined, and students who try to write their papers have a hard time with it.
One of such formats is related to citations. If you ref... |
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Goldbach's Conjecture: For any even number n greater than or equal to 4, there exists at least one pair of prime numbers p1 and p2 such that n = p1 + p2.
This conjecture has not been proved nor refused yet. No one is sure whether this conjecture actual... |
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You are enthusiastic about the popular web game "Moonlight Ranch". The purpose of this game is to grow crops in the fields, sell them to earn income, and use that income to grow the ranch.
You wanted to grow the field quickly. Therefore, we decided to ... |
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Find the sum of weights of edges of the Minimum Spanning Tree for a given weighted undirected graph G = (V, E).
Constraints
* 1 β€ |V| β€ 10,000
* 0 β€ |E| β€ 100,000
* 0 β€ wi β€ 10,000
* The graph is connected
* There are no parallel edges
* There are no ... |
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You are given two strings s and t, both consisting only of lowercase Latin letters.
The substring s[l..r] is the string which is obtained by taking characters s_l, s_{l + 1}, ..., s_r without changing the order.
Each of the occurrences of string a in ... |
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...Once upon a time a man came to the sea. The sea was stormy and dark. The man started to call for the little mermaid to appear but alas, he only woke up Cthulhu...
Whereas on the other end of the world Pentagon is actively collecting information tryi... |
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JATC loves Banh-mi (a Vietnamese food). His affection for Banh-mi is so much that he always has it for breakfast. This morning, as usual, he buys a Banh-mi and decides to enjoy it in a special way.
First, he splits the Banh-mi into n parts, places them... |
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The Fair Nut likes kvass very much. On his birthday parents presented him n kegs of kvass. There are v_i liters of kvass in the i-th keg. Each keg has a lever. You can pour your glass by exactly 1 liter pulling this lever. The Fair Nut likes this drink ... |
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Mr. Apple, a gourmet, works as editor-in-chief of a gastronomic periodical. He travels around the world, tasting new delights of famous chefs from the most fashionable restaurants. Mr. Apple has his own signature method of review β in each restaurant Mr... |
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A girl named Sonya is studying in the scientific lyceum of the Kingdom of Kremland. The teacher of computer science (Sonya's favorite subject!) invented a task for her.
Given an array a of length n, consisting only of the numbers 0 and 1, and the numbe... |
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The only difference between easy and hard versions is constraints.
Nauuo is a girl who loves random picture websites.
One day she made a random picture website by herself which includes n pictures.
When Nauuo visits the website, she sees exactly one ... |
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Tokitsukaze is playing a game derivated from Japanese mahjong. In this game, she has three tiles in her hand. Each tile she owns is a suited tile, which means it has a suit (manzu, pinzu or souzu) and a number (a digit ranged from 1 to 9). In this probl... |
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You are the head of a large enterprise. n people work at you, and n is odd (i. e. n is not divisible by 2).
You have to distribute salaries to your employees. Initially, you have s dollars for it, and the i-th employee should get a salary from l_i to r... |
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There are n blocks arranged in a row and numbered from left to right, starting from one. Each block is either black or white.
You may perform the following operation zero or more times: choose two adjacent blocks and invert their colors (white block b... |
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You are given one integer number n. Find three distinct integers a, b, c such that 2 β€ a, b, c and a β
b β
c = n or say that it is impossible to do it.
If there are several answers, you can print any.
You have to answer t independent test cases.
Inpu... |
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You are given a sequence b_1, b_2, β¦, b_n. Find the lexicographically minimal permutation a_1, a_2, β¦, a_{2n} such that b_i = min(a_{2i-1}, a_{2i}), or determine that it is impossible.
Input
Each test contains one or more test cases. The first line co... |
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There are two infinite sources of water:
* hot water of temperature h;
* cold water of temperature c (c < h).
You perform the following procedure of alternating moves:
1. take one cup of the hot water and pour it into an infinitely deep bar... |
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Vera adores poems. All the poems Vera knows are divided into quatrains (groups of four lines) and in each quatrain some lines contain rhymes.
Let's consider that all lines in the poems consist of lowercase Latin letters (without spaces). Letters "a", "... |
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Let's denote the median of a sequence s with odd length as the value in the middle of s if we sort s in non-decreasing order. For example, let s = [1, 2, 5, 7, 2, 3, 12]. After sorting, we get sequence [1, 2, 2, \underline{3}, 5, 7, 12], and the median ... |
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The time on the planet Lapituletti goes the same way it goes on Earth but a day lasts h hours and each hour lasts m minutes. The inhabitants of that planet use digital clocks similar to earth ones. Clocks display time in a format HH:MM (the number of ho... |
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Welcome to Rockport City!
It is time for your first ever race in the game against Ronnie. To make the race interesting, you have bet a dollars and Ronnie has bet b dollars. But the fans seem to be disappointed. The excitement of the fans is given by gc... |
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<image>
Input
The input contains a single integer a (1 β€ a β€ 18257).
Output
Print a single integer output (1 β€ output β€ 2Β·109).
Examples
Input
2
Output
13
The input will be give
Read the inputs from stdin solve the problem and write the answ... |
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One day Vasya came up to the blackboard and wrote out n distinct integers from 1 to n in some order in a circle. Then he drew arcs to join the pairs of integers (a, b) (a β b), that are either each other's immediate neighbors in the circle, or there is ... |
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A permutation p of size n is the sequence p1, p2, ..., pn, consisting of n distinct integers, each of them is from 1 to n (1 β€ pi β€ n).
A lucky permutation is such permutation p, that any integer i (1 β€ i β€ n) meets this condition ppi = n - i + 1.
You... |
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Currently Tiny is learning Computational Geometry. When trying to solve a problem called "The Closest Pair Of Points In The Plane", he found that a code which gave a wrong time complexity got Accepted instead of Time Limit Exceeded.
The problem is the ... |
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Piegirl is buying stickers for a project. Stickers come on sheets, and each sheet of stickers contains exactly n stickers. Each sticker has exactly one character printed on it, so a sheet of stickers can be described by a string of length n. Piegirl wan... |
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Dima and Seryozha live in an ordinary dormitory room for two. One day Dima had a date with his girl and he asked Seryozha to leave the room. As a compensation, Seryozha made Dima do his homework.
The teacher gave Seryozha the coordinates of n distinct ... |
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There are n games in a football tournament. Three teams are participating in it. Currently k games had already been played.
You are an avid football fan, but recently you missed the whole k games. Fortunately, you remember a guess of your friend for t... |
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It is lunch time for Mole. His friend, Marmot, prepared him a nice game for lunch.
Marmot brought Mole n ordered piles of worms such that i-th pile contains ai worms. He labeled all these worms with consecutive integers: worms in first pile are labeled... |
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Once Vasya and Petya assembled a figure of m cubes, each of them is associated with a number between 0 and m - 1 (inclusive, each number appeared exactly once). Let's consider a coordinate system such that the OX is the ground, and the OY is directed up... |
Solve the programming task below in a Python markdown code block.
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 ai feet high.
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A group o... |
Solve the programming task below in a Python markdown code block.
Your friend recently gave you some slimes for your birthday. You have n slimes all initially with value 1.
You are going to play a game with these slimes. Initially, you put a single slime by itself in a row. Then, you will add the other n - 1 slimes o... |
Solve the programming task below in a Python markdown code block.
In Berland there are n cities and n - 1 bidirectional roads. Each road connects some pair of cities, from any city you can get to any other one using only the given roads.
In each city there is exactly one repair brigade. To repair some road, you need ... |
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