MathDB

Using the digits:

1,2,3,4,5,

players

A

and

B

compose a

2005

-digit number

N

by selecting one digit at a time:

A

selects the first digit,

B

the second,

A

the third and so on. Player

A

wins if and only if

N

is divisible by

9

. Who will win if both players play as well as possible?

Problem Statement