EppsNet Archive: Graph Algorithms

Competitive Programming: CodeSignal – canScore (A World Cup Challenge)

Description Your friend is a soccer fan and you were watching some World Cup matches with him. You liked this game, but the rules are very complicated for you, so you decided just to try to guess whether the given attack will end with a goal or not. In the beginning, the ball is in the attacking team’s goalkeeper’s hands. On the attacking team, there’s a very talented goalscorer, who is waiting for his chance at the other end of the field. His teammates want to give him the ball so he can score. They can move the ball by passing it one to another along a straight line, but the defender can steal the pass if he is closer than d to the ball at any point throughout the pass. Now you want to know if the attacking team can score or not. Formally, you are given the coordinates… Read more →

Competitive Programming: POJ 3169 – Layout

Description Like everyone else, cows like to stand close to their friends when queuing for feed. FJ has N (2 <= N <= 1,000) cows numbered 1..N standing along a straight line waiting for feed. The cows are standing in the same order as they are numbered, and since they can be rather pushy, it is possible that two or more cows can line up at exactly the same location (that is, if we think of each cow as being located at some coordinate on a number line, then it is possible for two or more cows to share the same coordinate). Some cows like each other and want to be within a certain distance of each other in line. Some really dislike each other and want to be separated by at least a certain distance. A list of ML (1 <= ML <= 10,000) constraints describes which cows like… Read more →

Competitive Programming: POJ 1125 – Stockbroker Grapevine

Description Stockbrokers are known to overreact to rumors. You have been contracted to develop a method of spreading disinformation amongst the stockbrokers to give your employer the tactical edge in the stock market. For maximum effect, you have to spread the rumors in the fastest possible way. Unfortunately for you, stockbrokers only trust information coming from their “Trusted sources” This means you have to take into account the structure of their contacts when starting a rumor. It takes a certain amount of time for a specific stockbroker to pass the rumor on to each of his colleagues. Your task will be to write a program that tells you which stockbroker to choose as your starting point for the rumor, as well as the time it will take for the rumor to spread throughout the stockbroker community. This duration is measured as the time needed for the last person to receive… Read more →