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Brazil Contests
Brazil National Olympiad
1982 Brazil National Olympiad
3
3
Part of
1982 Brazil National Olympiad
Problems
(1)
squares have their vertices in a (k+1)x(k+1) array of lattice points
Source: Brazilian Mathematical Olympiad 1982 P3
7/27/2018
S
S
S
is a
(
k
+
1
)
×
(
k
+
1
)
(k+1) \times (k+1)
(
k
+
1
)
×
(
k
+
1
)
array of lattice points. How many squares have their vertices in
S
S
S
?
combinatorics
combinatorial geometry
lattice points