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2009 Math Prize For Girls Problems
1
counting lattice points under a hyperbola
counting lattice points under a hyperbola
Source:
November 16, 2009
conics
hyperbola
floor function
absolute value
Problem Statement
How many ordered pairs of integers
(
x
,
y
)
(x, y)
(
x
,
y
)
are there such that
0
<
∣
x
y
∣
<
36
?
0 < \left\vert xy \right\vert < 36?
0
<
∣
x
y
∣
<
36
?
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