There are three empty pots on a table. Batman, Robin, and The Joker put marbles in the pots one by one. They play successively, with the order chosen by The Joker in the beginning (if the Joker chooses Robin, The Joker, then Batman, then they will place marbles in the order R,J,B,R,J,B...). On each turn, Batman plays in the first or second jar, Robin in the second or third jar, and The Joker in the second or third jar. The second and third jars have maximum capacities of 2018 marbles, and the first jar has a maximum capacity of marbles. The first player who cannot play a marble loses.
Find the minimum value of such that Batman and Robin can cooperate to make The Joker lose.
This section requires Javascript.
You are seeing this because something didn't load right. We suggest you, (a) try
refreshing the page, (b) enabling javascript if it is disabled on your browser and,
finally, (c)
loading the
non-javascript version of this page
. We're sorry about the hassle.
No explanations have been posted yet. Check back later!