problem Problem Statement A palindrome is a string that reads the same forwards and backwards. For example, “abba” and “racecar” are palindromes. An odd palindrome is a palindrome with an odd length. For example, “racecar” is an odd palind…

problem The score of a string is its length multiplied by the number of different characters in the string. For example, the score of “abbcdxc” is 7 * 5 = 35. This is because the length of this string is 7 and there are five different char…

problem Limak is in a casino. He has b dollars. He wants to have at least c dollars (to be able to buy flowers for a girl he likes). In order to achieve that, he must win the money he’s missing. The casino allows guests to risk some of the…

problem There is a rectangular board that is divided into n rows by m columns of cells. Each cell is either empty or it contains an obstacle. You are given the description of the board in the board. Each character in board represents one c…

problem There is a rectangular board that is divided into n rows by m columns of cells. Each cell is either black or white. You are given the description of the board in the board. Each character in board represents one cell. More precisel…

Problem Statement Fox Ciel just used the command "sudo" (super-user do) to gain administrative privileges in the UNIX-based operating system on her computer. She now wants to install several new programs. Each program has some dependencies…

Problem Statement You are given the s n, K, and v. Consider the following modular equation with n variables: (x[0] * x[1] * x[2] * ... * x[n-1]) mod K = v. How many solutions does it have? Formally, we want to find the number of sequences …

Problem Statement Any undirected graph can be decomposed into connected components. Two vertices u and v belong to the same connected component if we can travel from u to v by following a sequence of zero or more consecutive edges. The siz…

Problem Statement You are given four s: n, k, x, and y. The s n and k describe a simple undirected graph. The graph has n nodes, numbered 1 through n. Two distinct vertices i and j are connected by an edge if and only if gcd(i, j) > k. Her…