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1
Kush do e zgjidhe?
Kush do e zgjidhe?
Source: Olimpiada Korce Albania
December 27, 2017
number theory
Problem Statement
Find x, y, z
∈
Z
\in Z
∈
Z
\\
x
2
+
y
2
+
z
2
=
2
n
(
x
+
y
+
z
)
x^2+y^2+z^2=2^n(x+y+z)
x
2
+
y
2
+
z
2
=
2
n
(
x
+
y
+
z
)
\\
n
∈
N
n\in N
n
∈
N
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