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CSMO Grade 11 Problem 7
CSMO Grade 11 Problem 7
Source: CSMO Grade 11 Problem 8
August 6, 2017
Perfect Squares
number theory
Problem Statement
Find the maximum value of
n
n
n
, such that there exist
n
n
n
pairwise distinct positive numbers
x
1
,
x
2
,
⋯
,
x
n
x_1,x_2,\cdots,x_n
x
1
,
x
2
,
⋯
,
x
n
, satisfy
x
1
2
+
x
2
2
+
⋯
+
x
n
2
=
2017
x_1^2+x_2^2+\cdots+x_n^2=2017
x
1
2
+
x
2
2
+
⋯
+
x
n
2
=
2017
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