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10
2016 Team #10
2016 Team #10
Source:
August 17, 2022
2016
team test
Problem Statement
Compute the smallest positive integer
x
x
x
which satisfies
x
2
−
8
x
+
1
≡
0
(
m
o
d
22
)
x^2-8x+1\equiv0\pmod{22}
x
2
−
8
x
+
1
≡
0
(
mod
22
)
and
x
2
−
22
x
+
1
≡
0
(
m
o
d
8
)
x^2-22x+1\equiv0\pmod{8}
x
2
−
22
x
+
1
≡
0
(
mod
8
)
.
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