Školjka Let 
be the set of 
points of the space 
all three of whose coordinates are integers between 
and 
(including and ). A coloring of is a map from to the set {red, blue}. How many colorings of are there satisfying the following property: The number of red vertices among the 
vertices of any right-angled parallelepiped is a multiple of 
?
be the set of points of the space all three of whose coordinates are integers between and (including and ). A coloring of is a map from to the set {red, blue}. How many colorings of are there satisfying the following property: The number of red vertices among the vertices of any right-angled parallelepiped is a multiple of ?