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2011 Cono Sur Olympiad
1
Cono Sur Olympiad 2011, Problem 1
Cono Sur Olympiad 2011, Problem 1
Source:
August 23, 2014
number theory proposed
number theory
Problem Statement
Find all triplets of positive integers
(
x
,
y
,
z
)
(x,y,z)
(
x
,
y
,
z
)
such that
x
2
+
y
2
+
z
2
=
2011
x^{2}+y^{2}+z^{2}=2011
x
2
+
y
2
+
z
2
=
2011
.
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