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ASDAN Math Tournament
2017 ASDAN Math Tournament
26
26
Part of
2017 ASDAN Math Tournament
Problems
(1)
2017 Guts #26
Source:
11/25/2022
A lattice point is a coordinate pair
(
a
,
b
)
(a,b)
(
a
,
b
)
where both
a
,
b
a,b
a
,
b
are integers. What is the number of lattice points
(
x
,
y
)
(x,y)
(
x
,
y
)
that satisfy
x
2
2017
+
2
y
2
2017
<
1
\tfrac{x^2}{2017}+\tfrac{2y^2}{2017}<1
2017
x
2
+
2017
2
y
2
<
1
and
y
≡
2
x
(
m
o
d
7
)
y\equiv2x\pmod{7}
y
≡
2
x
(
mod
7
)
?Let
C
C
C
be the actual answer,
A
A
A
be the answer you submit, and
D
=
∣
A
−
C
∣
D=|A-C|
D
=
∣
A
−
C
∣
. Your score will be rounded up from
max
(
0
,
25
−
e
D
/
100
)
\max(0,25-e^{D/100})
max
(
0
,
25
−
e
D
/100
)
.
2017
Guts Round