MathDB

There are

2018

boxes

C_1

C_2

C_3

,..,

C_{2018}

. The

n

-th box

C_n

contains

n

balls. A move consists of the following steps: a) Choose an integer

k

greater than

1

and choose

m

a multiple of

k

. b) Take a ball from each of the consecutive boxes

C_{m-1}

C_m

C_{m+1}

and move the

3

balls to the box

C_{m+k}

. With these movements, what is the largest number of balls we can get in the box

2018

1