MathDB

Initially one have the number

0

in each cell of the table

29 \times 29

. A moviment is when one choose a sub-table

5 \times 5

and add

+1

for every cell of this sub-table. Find the maximum value of

n

, where after

1000

moviments, there are

4

cells such that your centers are vertices of a square and the sum of this

4

cells is at least

n

. Note: A square does not, necessarily, have your sides parallel with the sides of the table.

5