19) Consider the Game of 120.

nTwo players, call them Blue and Red, take turns.

nRed begins with choosing either 1 or 2.

nBlue observes this choice, then increments the "count" by adding one or two. That is, if Red chooses 1 Blue can follow up with 2 or 3; if Red chooses 2 Blue can follow up with 3 or 4.

nRed then observes Blue's choice, and again increments the count by adding one or two.

nThe game continues with the players taking turns, each player incrementing the count by one or two, until one player reaches 120 and wins.

Who has a winner's strategy?

a) Nobody has a winner's strategy.

b) The first mover has a winner's strategy.

c) The second mover has a winner's strategy.

d) Both have a winner's strategy.

e) Only losers have a winner's strategy.