MathDB
Problems
Contests
National and Regional Contests
USA Contests
USA - Middle School Tournaments
Montgomery Blair
MBMT Guts Rounds
2015.20
2015.20
Part of
MBMT Guts Rounds
Problems
(1)
MBMT Guts #20
Source:
3/29/2015
How many lattice points are exactly twice as close to
(
0
,
0
)
(0,0)
(
0
,
0
)
as they are to
(
15
,
0
)
(15,0)
(
15
,
0
)
? (A lattice point is a point
(
a
,
b
)
(a,b)
(
a
,
b
)
such that both
a
a
a
and
b
b
b
are integers.)