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2016 Korea Winter Program Practice Test
1
a^2+b^2=m^2-n^2, ab=2mn
a^2+b^2=m^2-n^2, ab=2mn
Source: 2016 Korea Winter Program Test2 Day1 #1
January 25, 2016
number theory proposed
Diophantine equation
number theory
Problem Statement
Solve:
a
,
b
,
m
,
n
∈
N
a, b, m, n\in \mathbb{N}
a
,
b
,
m
,
n
∈
N
a
2
+
b
2
=
m
2
−
n
2
,
a
b
=
2
m
n
a^2+b^2=m^2-n^2, ab=2mn
a
2
+
b
2
=
m
2
−
n
2
,
ab
=
2
mn
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