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India Contests
India Pre-Regional Mathematical Olympiad
2019 India PRMO
13
Simple Summation Problem
Simple Summation Problem
Source:
August 11, 2019
Summation
Problem Statement
Each of the numbers
x
1
,
x
2
,
…
,
x
101
x_1, x_2, \ldots, x_{101}
x
1
,
x
2
,
…
,
x
101
is
±
1
\pm 1
±
1
. What is the smallest positive value of
∑
1
≤
i
<
j
≤
101
x
i
x
j
\sum_{1\leq i < j \leq 101} x_i x_j
∑
1
≤
i
<
j
≤
101
x
i
x
j
?
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