MathDB

Milly chooses a positive integer

n

and then Uriel colors each integer between

1

and

n

inclusive red or blue. Then Milly chooses four numbers

a, b, c, d

of the same color (there may be repeated numbers). If

a+b+c= d

then Milly wins. Determine the smallest

n

Milly can choose to ensure victory, no matter how Uriel colors.

Problem Statement