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2020 CMIMC
2020 CMIMC Team
11
11
Part of
2020 CMIMC Team
Problems
(1)
2020 Team 11
Source:
2/2/2020
Find the number of ordered triples of integers
(
a
,
b
,
c
)
(a,b,c)
(
a
,
b
,
c
)
, each between
1
1
1
and
64
64
64
, such that
a
2
+
b
2
≡
c
2
(
m
o
d
64
)
.
a^2 + b^2 \equiv c^2\pmod{64}.
a
2
+
b
2
≡
c
2
(
mod
64
)
.
team
2020