As he swam deeper, Mario bumped into Old Man Octopops, who, like his friend, Mr. Quacky Duck
Channel: Doubtnut
Date: 12/04/2020

As he swam deeper, Mario bumped into Old Man Octopops, who, like his friend, Mr. Quacky Duck, is very fond of puzzles and weird games. (i) Firstly, Octopops gives Mario to control three ‘squid’ pieces, while he himself controls a single ‘shark’ piece. Initially, all four pieces are placed somewhere along a straight line. They take turns making moves, with Mario going first. Each move, a player is allowed to move one of his pieces a distance of at most one unit along the straight line. Octopops wins if his ‘shark’ piece can catch one of the ‘squid’ pieces. (ii) The same game is now played on a two-dimensional plane instead of a straight line. The rules are the same, except now Mario is given 20 ‘squid’ pieces. Can Octopops always win? Answer for both the questions.