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2015 ASDAN Math Tournament
35
35
Part of
2015 ASDAN Math Tournament
Problems
(1)
2015 Guts #35
Source:
8/2/2022
Let
S
S
S
be the set of positive integers less than
1
0
6
10^6
1
0
6
that can be written as the sum of two perfect squares. Compute the number of elements in
S
S
S
. Your score will be given by
max
{
⌊
75
(
min
{
(
A
C
)
2
,
(
C
A
)
2
}
−
2
3
)
⌋
,
0
}
\max\{\lfloor75(\min\{(\tfrac{A}{C})^2,(\tfrac{C}{A})^2\}-\tfrac{2}{3})\rfloor,0\}
max
{⌊
75
(
min
{(
C
A
)
2
,
(
A
C
)
2
}
−
3
2
)⌋
,
0
}
, where
A
A
A
is your answer and
C
C
C
is the actual answer.
2015
Guts Test