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Solve the programming task below in a Python markdown code block. You are given an integer array a_1, a_2, …, a_n. The array b is called to be a subsequence of a if it is possible to remove some elements from a to get b. Array b_1, b_2, …, b_k is called to be good if it is not empty and for every i (1 ≀ i ≀ k) b_i i...
Solve the programming task below in a Python markdown code block. Recently, the Fair Nut has written k strings of length n, consisting of letters "a" and "b". He calculated c β€” the number of strings that are prefixes of at least one of the written strings. Every string was counted only one time. Then, he lost his she...
Solve the programming task below in a Python markdown code block. You are given a string s consisting of exactly n characters, and each character is either '0', '1' or '2'. Such strings are called ternary strings. Your task is to replace minimum number of characters in this string with other characters to obtain a ba...
Solve the programming task below in a Python markdown code block. This is a simplified version of the task Toy Train. These two versions differ only in the constraints. Hacks for this version are disabled. Alice received a set of Toy Trainβ„’ from Bob. It consists of one train and a connected railway network of n stati...
Solve the programming task below in a Python markdown code block. Tokitsukaze and CSL are playing a little game of stones. In the beginning, there are n piles of stones, the i-th pile of which has a_i stones. The two players take turns making moves. Tokitsukaze moves first. On each turn the player chooses a nonempty ...
Solve the programming task below in a Python markdown code block. You have n Γ— n square grid and an integer k. Put an integer in each cell while satisfying the conditions below. * All numbers in the grid should be between 1 and k inclusive. * Minimum number of the i-th row is 1 (1 ≀ i ≀ n). * Minimum number o...
Solve the programming task below in a Python markdown code block. You are given a set of nβ‰₯ 2 pairwise different points with integer coordinates. Your task is to partition these points into two nonempty groups A and B, such that the following condition holds: For every two points P and Q, write the [Euclidean distanc...
Solve the programming task below in a Python markdown code block. [3R2 as DJ Mashiro - Happiness Breeze](https://open.spotify.com/track/2qGqK8GRS65Wlf20qUBEak) [Ice - DJ Mashiro is dead or alive](https://soundcloud.com/iceloki/dj-mashiro-is-dead-or-alive) NEKO#ΦωΦ has just got a new maze game on her PC! The game's ...
Solve the programming task below in a Python markdown code block. This is an easier version of the problem. In this version n ≀ 1000 The outskirts of the capital are being actively built up in Berland. The company "Kernel Panic" manages the construction of a residential complex of skyscrapers in New Berlskva. All sky...
Solve the programming task below in a Python markdown code block. There is a rectangular grid of size n Γ— m. Each cell of the grid is colored black ('0') or white ('1'). The color of the cell (i, j) is c_{i, j}. You are also given a map of directions: for each cell, there is a direction s_{i, j} which is one of the fo...
Solve the programming task below in a Python markdown code block. During the quarantine, Sicromoft has more free time to create the new functions in "Celex-2021". The developers made a new function GAZ-GIZ, which infinitely fills an infinite table to the right and down from the upper left corner as follows: <image> T...
Solve the programming task below in a Python markdown code block. You are given a binary string s consisting of n zeros and ones. Your task is to divide the given string into the minimum number of subsequences in such a way that each character of the string belongs to exactly one subsequence and each subsequence look...
Solve the programming task below in a Python markdown code block. Three swimmers decided to organize a party in the swimming pool! At noon, they started to swim from the left side of the pool. It takes the first swimmer exactly a minutes to swim across the entire pool and come back, exactly b minutes for the second s...
Solve the programming task below in a Python markdown code block. Phoenix is playing with a new puzzle, which consists of n identical puzzle pieces. Each puzzle piece is a right isosceles triangle as shown below. <image> A puzzle piece The goal of the puzzle is to create a square using the n pieces. He is allowed to...
Solve the programming task below in a Python markdown code block. You are given a multiset (i. e. a set that can contain multiple equal integers) containing 2n integers. Determine if you can split it into exactly n pairs (i. e. each element should be in exactly one pair) so that the sum of the two elements in each pai...
Solve the programming task below in a Python markdown code block. According to a new ISO standard, a flag of every country should have a chequered field n Γ— m, each square should be of one of 10 colours, and the flag should be Β«stripedΒ»: each horizontal row of the flag should contain squares of the same colour, and th...
Solve the programming task below in a Python markdown code block. Last year Bob earned by selling memory sticks. During each of n days of his work one of the two following events took place: * A customer came to Bob and asked to sell him a 2x MB memory stick. If Bob had such a stick, he sold it and got 2x berllars...
Solve the programming task below in a Python markdown code block. You've got a undirected tree s, consisting of n nodes. Your task is to build an optimal T-decomposition for it. Let's define a T-decomposition as follows. Let's denote the set of all nodes s as v. Let's consider an undirected tree t, whose nodes are so...
Solve the programming task below in a Python markdown code block. Roma works in a company that sells TVs. Now he has to prepare a report for the last year. Roma has got a list of the company's incomes. The list is a sequence that consists of n integers. The total income of the company is the sum of all integers in se...
Solve the programming task below in a Python markdown code block. Inna and Dima decided to surprise Sereja. They brought a really huge candy matrix, it's big even for Sereja! Let's number the rows of the giant matrix from 1 to n from top to bottom and the columns β€” from 1 to m, from left to right. We'll represent the ...
Solve the programming task below in a Python markdown code block. Jzzhu has invented a kind of sequences, they meet the following property: <image> You are given x and y, please calculate fn modulo 1000000007 (109 + 7). Input The first line contains two integers x and y (|x|, |y| ≀ 109). The second line contains a...
Solve the programming task below in a Python markdown code block. A way to make a new task is to make it nondeterministic or probabilistic. For example, the hard task of Topcoder SRM 595, Constellation, is the probabilistic version of a convex hull. Let's try to make a new task. Firstly we will use the following task...
Solve the programming task below in a Python markdown code block. Petya and Gena love playing table tennis. A single match is played according to the following rules: a match consists of multiple sets, each set consists of multiple serves. Each serve is won by one of the players, this player scores one point. As soon ...
Solve the programming task below in a Python markdown code block. A word or a sentence in some language is called a pangram if all the characters of the alphabet of this language appear in it at least once. Pangrams are often used to demonstrate fonts in printing or test the output devices. You are given a string con...
Solve the programming task below in a Python markdown code block. In the official contest this problem has a different statement, for which jury's solution was working incorrectly, and for this reason it was excluded from the contest. This mistake have been fixed and the current given problem statement and model solut...
Solve the programming task below in a Python markdown code block. After celebrating the midcourse the students of one of the faculties of the Berland State University decided to conduct a vote for the best photo. They published the photos in the social network and agreed on the rules to choose a winner: the photo whic...
Solve the programming task below in a Python markdown code block. Buses run between the cities A and B, the first one is at 05:00 AM and the last one departs not later than at 11:59 PM. A bus from the city A departs every a minutes and arrives to the city B in a ta minutes, and a bus from the city B departs every b mi...
Solve the programming task below in a Python markdown code block. Mike and !Mike are old childhood rivals, they are opposite in everything they do, except programming. Today they have a problem they cannot solve on their own, but together (with you) β€” who knows? Every one of them has an integer sequences a and b of ...
Solve the programming task below in a Python markdown code block. ZS the Coder and Chris the Baboon arrived at the entrance of Udayland. There is a n Γ— n magic grid on the entrance which is filled with integers. Chris noticed that exactly one of the cells in the grid is empty, and to enter Udayland, they need to fill ...
Solve the programming task below in a Python markdown code block. Recently a dog was bought for Polycarp. The dog's name is Cormen. Now Polycarp has a lot of troubles. For example, Cormen likes going for a walk. Empirically Polycarp learned that the dog needs at least k walks for any two consecutive days in order to...
Solve the programming task below in a Python markdown code block. Vasya is an administrator of a public page of organization "Mouse and keyboard" and his everyday duty is to publish news from the world of competitive programming. For each news he also creates a list of hashtags to make searching for a particular topic...
Solve the programming task below in a Python markdown code block. Whereas humans nowadays read fewer and fewer books on paper, book readership among marmots has surged. Heidi has expanded the library and is now serving longer request sequences. Input Same as the easy version, but the limits have changed: 1 ≀ n, k ≀ ...
Solve the programming task below in a Python markdown code block. Petya was late for the lesson too. The teacher gave him an additional task. For some array a Petya should find the number of different ways to select non-empty subset of elements from it in such a way that their product is equal to a square of some inte...
Solve the programming task below in a Python markdown code block. You are given a multiset S consisting of positive integers (initially empty). There are two kind of queries: 1. Add a positive integer to S, the newly added integer is not less than any number in it. 2. Find a subset s of the set S such that the ...
Solve the programming task below in a Python markdown code block. Arkady is playing Battleship. The rules of this game aren't really important. There is a field of n Γ— n cells. There should be exactly one k-decker on the field, i. e. a ship that is k cells long oriented either horizontally or vertically. However, Ark...
Solve the programming task below in a Python markdown code block. Today on Informatics class Nastya learned about GCD and LCM (see links below). Nastya is very intelligent, so she solved all the tasks momentarily and now suggests you to solve one of them as well. We define a pair of integers (a, b) good, if GCD(a, b)...
Solve the programming task below in a Python markdown code block. Kuldeep is tired from all the fun he's having with Christie, so now all he needs is a good night's sleep to get some rest. Being a math nerd, he even dreams about maths. But in this dreamland some mathematical entities have slightly different defini...
Solve the programming task below in a Python markdown code block. Little Jhool is still out of his mind - exploring all his happy childhood memories. And one of his favorite memory is when he found a magical ghost, who promised to fulfill one of Little Jhool's wish. Now, Little Jhool was a kid back then, and so he f...
Solve the programming task below in a Python markdown code block. Ashima has brought home n cats. Now, being a cat lover, she is taking care of the cats and has asked me to bring cat food for them. Being a guy with no idea what to buy, I brought some n packets of cat food (I atleast knew that each and every cat being ...
Solve the programming task below in a Python markdown code block. In the Mathematical world of Dr. Ramanujam, every new student must have to pass a exam to take the classes of Advance mathematics from Dr. Ramanujam. One day Ram wants to have classes of Advance mathematics, so he arrived at class of Dr. Ramanujam. He a...
Solve the programming task below in a Python markdown code block. Samu is in super market and in a mood to do a lot of shopping. She needs to buy shirts, pants and shoes for herself and her family. There are N different shops. Each shop contains all these three items but at different prices. Now Samu has a strategy th...
Solve the programming task below in a Python markdown code block. We have two desks: A and B. Desk A has a vertical stack of N books on it, and Desk B similarly has M books on it. It takes us A_i minutes to read the i-th book from the top on Desk A (1 \leq i \leq N), and B_i minutes to read the i-th book from the top...
Solve the programming task below in a Python markdown code block. Takahashi has many red balls and blue balls. Now, he will place them in a row. Initially, there is no ball placed. Takahashi, who is very patient, will do the following operation 10^{100} times: * Place A blue balls at the end of the row of balls alr...
Solve the programming task below in a Python markdown code block. Takahashi is competing in a sumo tournament. The tournament lasts for 15 days, during which he performs in one match per day. If he wins 8 or more matches, he can also participate in the next tournament. The matches for the first k days have finished. ...
Solve the programming task below in a Python markdown code block. You are given strings s and t. Find one longest string that is a subsequence of both s and t. Constraints * s and t are strings consisting of lowercase English letters. * 1 \leq |s|, |t| \leq 3000 Input Input is given from Standard Input in the foll...
Solve the programming task below in a Python markdown code block. You are given a positive integer N. Find the minimum positive integer divisible by both 2 and N. Constraints * 1 \leq N \leq 10^9 * All values in input are integers. Input Input is given from Standard Input in the following format: N Output Pri...
Solve the programming task below in a Python markdown code block. A subsequence of a string S is a string that can be obtained by deleting zero or more characters from S without changing the order of the remaining characters. For example, `arc`, `artistic` and (an empty string) are all subsequences of `artistic`; `abc...
Solve the programming task below in a Python markdown code block. We have a grid with 3 rows and N columns. The cell at the i-th row and j-th column is denoted (i, j). Initially, each cell (i, j) contains the integer i+3j-3. <image> A grid with N=5 columns Snuke can perform the following operation any number of tim...
Solve the programming task below in a Python markdown code block. Create a program that reads the sales unit price and sales quantity and outputs the total sales amount and the average sales quantity. Input The input is given in the following format: Sales unit price, sales quantity Sales unit price, sales quant...
Solve the programming task below in a Python markdown code block. Create a program that calculates and outputs the surface distance by inputting the north latitude and east longitude of two cities on the earth. However, the earth is a sphere with a radius of 6,378.1 km, and the surface distance between two points is t...
Solve the programming task below in a Python markdown code block. In Aizu prefecture, we decided to create a new town to increase the population. To that end, we decided to cultivate a new rectangular land and divide this land into squares of the same size. The cost of developing this land is proportional to the numbe...
Solve the programming task below in a Python markdown code block. problem Five students, Taro, Jiro, Saburo, Shiro, and Hanako, participated in the JOI High School class. In this class, a final exam was conducted. All five people took the final exam. For students with a final exam score of 40 or higher, the final ex...
Solve the programming task below in a Python markdown code block. In the 17th century, Fermat wrote that he proved for any integer $n \geq 3$, there exist no positive integers $x$, $y$, $z$ such that $x^n + y^n = z^n$. However he never disclosed the proof. Later, this claim was named Fermat's Last Theorem or Fermat's ...
Solve the programming task below in a Python markdown code block. Let’s try a dice puzzle. The rules of this puzzle are as follows. 1. Dice with six faces as shown in Figure 1 are used in the puzzle. <image> Figure 1: Faces of a die 2. With twenty seven such dice, a 3 Γ— 3 Γ— 3 cube is built as shown in Figure 2. <...
Solve the programming task below in a Python markdown code block. Problem Statement We have planted $N$ flower seeds, all of which come into different flowers. We want to make all the flowers come out together. Each plant has a value called vitality, which is initially zero. Watering and spreading fertilizers cause ...
Solve the programming task below in a Python markdown code block. Early morning in summer camp The morning of JAG summer training camp is early. To be exact, it is not so fast, but many participants feel that it is fast. At the facility that is the venue for the training camp every year, participants must collect an...
Solve the programming task below in a Python markdown code block. Number of tanka Wishing to die in the spring under the flowers This is one of the famous tanka poems that Saigyo Hoshi wrote. Tanka is a type of waka poem that has been popular in Japan for a long time, and most of it consists of five phrases and thir...
Solve the programming task below in a Python markdown code block. Problem Given $ N $ a pair of non-negative integers $ (a_i, b_i) $ and non-negative integers $ A $, $ B $. I want to do as many of the following operations as possible. * $ | a_i --b_i | \ leq A $ or $ B \ leq | a_i --b_i | \ leq Take out and delete ...
Solve the programming task below in a Python markdown code block. Write a program which reads a sequence A of n elements and an integer M, and outputs "yes" if you can make M by adding elements in A, otherwise "no". You can use an element only once. You are given the sequence A and q questions where each question con...
Solve the programming task below in a Python markdown code block. Write a program which finds a pattern $p$ in a ring shaped text $s$. <image> Constraints * $1 \leq $ length of $p \leq $ length of $s \leq 100$ * $s$ and $p$ consists of lower-case letters Input In the first line, the text $s$ is given. In the sec...
Solve the programming task below in a Python markdown code block. We get more and more news about DDoS-attacks of popular websites. Arseny is an admin and he thinks that a website is under a DDoS-attack if the total number of requests for a some period of time exceeds 100 β‹… t, where t β€” the number of seconds in this ...
Solve the programming task below in a Python markdown code block. Petya is having a party soon, and he has decided to invite his n friends. He wants to make invitations in the form of origami. For each invitation, he needs two red sheets, five green sheets, and eight blue sheets. The store sells an infinite number of...
Solve the programming task below in a Python markdown code block. Let's call a string good if and only if it consists of only two types of letters β€” 'a' and 'b' and every two consecutive letters are distinct. For example "baba" and "aba" are good strings and "abb" is a bad string. You have a strings "a", b strings "b...
Solve the programming task below in a Python markdown code block. The only difference between easy and hard versions is the maximum value of n. You are given a positive integer number n. You really love good numbers so you want to find the smallest good number greater than or equal to n. The positive integer is call...
Solve the programming task below in a Python markdown code block. One day Anna got the following task at school: to arrange several numbers in a circle so that any two neighboring numbers differs exactly by 1. Anna was given several numbers and arranged them in a circle to fulfill the task. Then she wanted to check if...
Solve the programming task below in a Python markdown code block. Alice has got addicted to a game called Sirtet recently. In Sirtet, player is given an n Γ— m grid. Initially a_{i,j} cubes are stacked up in the cell (i,j). Two cells are called adjacent if they share a side. Player can perform the following operations...
Solve the programming task below in a Python markdown code block. You are given two integers n and m. You have to construct the array a of length n consisting of non-negative integers (i.e. integers greater than or equal to zero) such that the sum of elements of this array is exactly m and the value βˆ‘_{i=1}^{n-1} |a_i...
Solve the programming task below in a Python markdown code block. So, the New Year holidays are over. Santa Claus and his colleagues can take a rest and have guests at last. When two "New Year and Christmas Men" meet, thear assistants cut out of cardboard the letters from the guest's name and the host's name in honor ...
Solve the programming task below in a Python markdown code block. Andre has very specific tastes. Recently he started falling in love with arrays. Andre calls an nonempty array b good, if sum of its elements is divisible by the length of this array. For example, array [2, 3, 1] is good, as sum of its elements β€” 6 β€” i...
Solve the programming task below in a Python markdown code block. Polycarp found n segments on the street. A segment with the index i is described by two integers l_i and r_i β€” coordinates of the beginning and end of the segment, respectively. Polycarp realized that he didn't need all the segments, so he wanted to del...
Solve the programming task below in a Python markdown code block. Let's define the cost of a string s as the number of index pairs i and j (1 ≀ i < j < |s|) such that s_i = s_j and s_{i+1} = s_{j+1}. You are given two positive integers n and k. Among all strings with length n that contain only the first k characters ...
Solve the programming task below in a Python markdown code block. Petya once wrote a sad love song and shared it to Vasya. The song is a string consisting of lowercase English letters. Vasya made up q questions about this song. Each question is about a subsegment of the song starting from the l-th letter to the r-th l...
Solve the programming task below in a Python markdown code block. A permutation is a sequence of integers p1, p2, ..., pn, consisting of n distinct positive integers, each of them doesn't exceed n. Let's denote the i-th element of permutation p as pi. We'll call number n the size of permutation p1, p2, ..., pn. Nicko...
Solve the programming task below in a Python markdown code block. You are given a rectangle grid. That grid's size is n Γ— m. Let's denote the coordinate system on the grid. So, each point on the grid will have coordinates β€” a pair of integers (x, y) (0 ≀ x ≀ n, 0 ≀ y ≀ m). Your task is to find a maximum sub-rectangle...
Solve the programming task below in a Python markdown code block. User ainta is making a web site. This time he is going to make a navigation of the pages. In his site, there are n pages numbered by integers from 1 to n. Assume that somebody is on the p-th page now. The navigation will look like this: << p - k p - k ...
Solve the programming task below in a Python markdown code block. Recently, a start up by two students of a state university of city F gained incredible popularity. Now it's time to start a new company. But what do we call it? The market analysts came up with a very smart plan: the name of the company should be ident...
Solve the programming task below in a Python markdown code block. A kindergarten teacher Natalia Pavlovna has invented a new ball game. This game not only develops the children's physique, but also teaches them how to count. The game goes as follows. Kids stand in circle. Let's agree to think of the children as numb...
Solve the programming task below in a Python markdown code block. Vanya walks late at night along a straight street of length l, lit by n lanterns. Consider the coordinate system with the beginning of the street corresponding to the point 0, and its end corresponding to the point l. Then the i-th lantern is at the poi...
Solve the programming task below in a Python markdown code block. Drazil is playing a math game with Varda. Let's define <image> for positive integer x as a product of factorials of its digits. For example, <image>. First, they choose a decimal number a consisting of n digits that contains at least one digit larger ...
Solve the programming task below in a Python markdown code block. The Beroil corporation structure is hierarchical, that is it can be represented as a tree. Let's examine the presentation of this structure as follows: * employee ::= name. | name:employee1,employee2, ... ,employeek. * name ::= name of an employee ...
Solve the programming task below in a Python markdown code block. Harry Potter and He-Who-Must-Not-Be-Named engaged in a fight to the death once again. This time they are located at opposite ends of the corridor of length l. Two opponents simultaneously charge a deadly spell in the enemy. We know that the impulse of H...
Solve the programming task below in a Python markdown code block. A permutation of length n is an array containing each integer from 1 to n exactly once. For example, q = [4, 5, 1, 2, 3] is a permutation. For the permutation q the square of permutation is the permutation p that p[i] = q[q[i]] for each i = 1... n. For ...
Solve the programming task below in a Python markdown code block. After the piece of a devilish mirror hit the Kay's eye, he is no longer interested in the beauty of the roses. Now he likes to watch snowflakes. Once upon a time, he found a huge snowflake that has a form of the tree (connected acyclic graph) consistin...
Solve the programming task below in a Python markdown code block. One tradition of welcoming the New Year is launching fireworks into the sky. Usually a launched firework flies vertically upward for some period of time, then explodes, splitting into several parts flying in different directions. Sometimes those parts a...
Solve the programming task below in a Python markdown code block. Stepan is a very experienced olympiad participant. He has n cups for Physics olympiads and m cups for Informatics olympiads. Each cup is characterized by two parameters β€” its significance ci and width wi. Stepan decided to expose some of his cups on a ...
Solve the programming task below in a Python markdown code block. A new pack of n t-shirts came to a shop. Each of the t-shirts is characterized by three integers pi, ai and bi, where pi is the price of the i-th t-shirt, ai is front color of the i-th t-shirt and bi is back color of the i-th t-shirt. All values pi are ...
Solve the programming task below in a Python markdown code block. Some time ago Mister B detected a strange signal from the space, which he started to study. After some transformation the signal turned out to be a permutation p of length n or its cyclic shift. For the further investigation Mister B need some basis, t...
Solve the programming task below in a Python markdown code block. It's another Start[c]up finals, and that means there is pizza to order for the onsite contestants. There are only 2 types of pizza (obviously not, but let's just pretend for the sake of the problem), and all pizzas contain exactly S slices. It is known...
Solve the programming task below in a Python markdown code block. You are given an array a with n distinct integers. Construct an array b by permuting a such that for every non-empty subset of indices S = {x1, x2, ..., xk} (1 ≀ xi ≀ n, 0 < k < n) the sums of elements on that positions in a and b are different, i. e. ...
Solve the programming task below in a Python markdown code block. Ancient Egyptians are known to have understood difficult concepts in mathematics. The ancient Egyptian mathematician Ahmes liked to write a kind of arithmetic expressions on papyrus paper which he called as Ahmes arithmetic expression. An Ahmes arithme...
Solve the programming task below in a Python markdown code block. You are given n points on Cartesian plane. Every point is a lattice point (i. e. both of its coordinates are integers), and all points are distinct. You may draw two straight lines (not necessarily distinct). Is it possible to do this in such a way tha...
Solve the programming task below in a Python markdown code block. As the boat drifts down the river, a wood full of blossoms shows up on the riverfront. "I've been here once," Mino exclaims with delight, "it's breathtakingly amazing." "What is it like?" "Look, Kanno, you've got your paintbrush, and I've got my word...
Solve the programming task below in a Python markdown code block. You are looking for a place to park your car on a wall street. You can park at any position that meets the following requirements: 1. It is not directly in front of a private driveway. 2. It is not directly in front of a bus stop. 3. It is not 5 mete...
Solve the programming task below in a Python markdown code block. You have some boxes. All of them are assigned a unique positive integer. This number is written on them with a marker. Your task is simple that is to evaluate a number of queries. The description of a single query is given below: The query consists of ...
Solve the programming task below in a Python markdown code block. Monk A loves to complete all his tasks just before the deadlines for introducing unwanted thrill in his life. But, there is another Monk D who hates this habit of Monk A and thinks it's risky. To test Monk A, Monk D provided him tasks for N days in t...
Solve the programming task below in a Python markdown code block. As we have seen our little Vaishanavi playing with the plywood, her brother Vaishnav was playing with numbers. Read about Factorial As we all know this kid always thinks in a different way than others think. He have some numbers with him. He wants t...
Solve the programming task below in a Python markdown code block. M-kun has the following three cards: * A red card with the integer A. * A green card with the integer B. * A blue card with the integer C. He is a genius magician who can do the following operation at most K times: * Choose one of the three cards a...
Solve the programming task below in a Python markdown code block. We have N balls. The i-th ball has an integer A_i written on it. For each k=1, 2, ..., N, solve the following problem and print the answer. * Find the number of ways to choose two distinct balls (disregarding order) from the N-1 balls other than the k-...
Solve the programming task below in a Python markdown code block. How many ways are there to choose two distinct positive integers totaling N, disregarding the order? Constraints * 1 \leq N \leq 10^6 * N is an integer. Input Input is given from Standard Input in the following format: N Output Print the answer...
Solve the programming task below in a Python markdown code block. A ball will bounce along a number line, making N + 1 bounces. It will make the first bounce at coordinate D_1 = 0, and the i-th bounce (2 \leq i \leq N+1) at coordinate D_i = D_{i-1} + L_{i-1}. How many times will the ball make a bounce where the coord...