A tournament is a directed graph without self-loops in which every pair of vertexes is connected by exactly one directed edge. That is, for any two vertexes u and v (u ≠ v) exists either an edge going from u to v, or an edge from v to u. You are give…
There is a rectangular grid of size n×mn×m . Each cell has a number written on it; the number on the cell (i,ji,j ) is ai,jai,j . Your task is to calculate the number of paths from the upper-left cell (1,11,1 ) to the bottom-right cell (n,mn,m ) meet…
Little Tom loves playing games. One day he downloads a little computer game called 'Bloxorz' which makes him excited. It's a game about rolling a box to a specific position on a special plane. Precisely, the plane, which is composed of several unit c…
The Robot Moving Institute is using a robot in their local store to transport different items. Of course the robot should spend only the minimum time necessary when travelling from one place in the store to another. The robot can move only along a st…