MathDB

Albrecht writes numbers on the points of the first quadrant with integer coordinates in the following way: If at least one of the coordinates of a point is 0, he writes 0; in all other cases the number written on point

(a, b)

is one greater than the average of the numbers written on points

(a+1 , b-1)

and

(a-1,b+1)

. Which numbers could he write on point

(121, 212)

? Note: The elements of the first quadrant are points where both of the coordinates are non- negative.

Problem Statement