time limit per test1 second memory limit per test256 megabytes inputstandard input outputstandard output A function is called Lipschitz continuous if there is a real constant K such that the inequality |f(x) - f(y)| ≤ K·|x - y| holds for all . We'll…
A. Infinite Sequence time limit per test 1 second memory limit per test 256 megabytes input standard input output standard output Consider the infinite sequence of integers: 1, 1, 2, 1, 2, 3, 1, 2, 3, 4, 1, 2, 3, 4, 5.... The sequence is built in the…
time limit per test1 second memory limit per test256 megabytes inputstandard input outputstandard output Chloe, the same as Vladik, is a competitive programmer. She didn't have any problems to get to the olympiad like Vladik, but she was confused by…
time limit per test2 seconds memory limit per test256 megabytes inputstandard input outputstandard output Andrewid the Android is a galaxy-famous detective. He is now investigating a case of frauds who make fake copies of the famous Stolp's gears, pu…
time limit per test1 second memory limit per test256 megabytes inputstandard input outputstandard output Arthur has bought a beautiful big table into his new flat. When he came home, Arthur noticed that the new table is unstable. In total the table A…
time limit per test1 second memory limit per test256 megabytes inputstandard input outputstandard output Pasha decided to invite his friends to a tea party. For that occasion, he has a large teapot with the capacity of w milliliters and 2n tea cups,…
time limit per test1 second memory limit per test256 megabytes inputstandard input outputstandard output Amr loves Chemistry, and specially doing experiments. He is preparing for a new interesting experiment. Amr has n different types of chemicals. E…
time limit per test2 seconds memory limit per test256 megabytes inputstandard input outputstandard output When Xellos was doing a practice course in university, he once had to measure the intensity of an effect that slowly approached equilibrium. A g…
time limit per test2 seconds memory limit per test256 megabytes inputstandard input outputstandard output Generous sponsors of the olympiad in which Chloe and Vladik took part allowed all the participants to choose a prize for them on their own. Chri…
time limit per test2 seconds memory limit per test256 megabytes inputstandard input outputstandard output Professor GukiZ is concerned about making his way to school, because massive piles of boxes are blocking his way. In total there are n piles of…
time limit per test4 seconds memory limit per test256 megabytes inputstandard input outputstandard output Peppa the Pig was walking and walked into the forest. What a strange coincidence! The forest has the shape of a rectangle, consisting of n rows…
time limit per test1 second memory limit per test256 megabytes inputstandard input outputstandard output Just to remind, girls in Arpa's land are really nice. Mehrdad wants to invite some Hoses to the palace for a dancing party. Each Hos has some wei…
time limit per test2 seconds memory limit per test256 megabytes inputstandard input outputstandard output Pavel cooks barbecue. There are n skewers, they lay on a brazier in a row, each on one of n positions. Pavel wants each skewer to be cooked some…
time limit per test1 second memory limit per test256 megabytes inputstandard input outputstandard output PolandBall lives in a forest with his family. There are some trees in the forest. Trees are undirected acyclic graphs with k vertices and k - 1 e…
time limit per test2.5 seconds memory limit per test256 megabytes inputstandard input outputstandard output One tradition of welcoming the New Year is launching fireworks into the sky. Usually a launched firework flies vertically upward for some peri…
time limit per test4 seconds memory limit per test256 megabytes inputstandard input outputstandard output Anton likes to play chess. Also, he likes to do programming. That is why he decided to write the program that plays chess. However, he finds the…
time limit per test2 seconds memory limit per test256 megabytes inputstandard input outputstandard output You are given n numbers a1, a2, -, an. You can perform at most k operations. For each operation you can multiply one of the numbers by x. We wan…
time limit per test1 second memory limit per test256 megabytes inputstandard input outputstandard output You are given an array of positive integers a1, a2, -, an × T of length n × T. We know that for any i > n it is true that ai = ai - n. Find the l…
time limit per test1 second memory limit per test256 megabytes inputstandard input outputstandard output Anton loves transforming one permutation into another one by swapping elements for money, and Ira doesn't like paying for stupid games. Help them…
time limit per test1 second memory limit per test256 megabytes inputstandard input outputstandard output The mobile application store has a new game called "Subway Roller". The protagonist of the game Philip is located in one end of the tunnel a…
time limit per test2 seconds memory limit per test256 megabytes inputstandard input outputstandard output A schoolboy named Vasya loves reading books on programming and mathematics. He has recently read an encyclopedia article that described the meth…
time limit per test2 seconds memory limit per test256 megabytes inputstandard input outputstandard output Wilbur is playing with a set of n points on the coordinate plane. All points have non-negative integer coordinates. Moreover, if some point (x,…
time limit per test2 seconds memory limit per test256 megabytes inputstandard input outputstandard output Running with barriers on the circle track is very popular in the country where Dasha lives, so no wonder that on her way to classes she saw the…
