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Montgomery Blair
MBMT Guts Rounds
2015.20
MBMT Guts #20
MBMT Guts #20
Source:
March 29, 2015
Problem Statement
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.)
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