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Baltic Way
1991 Baltic Way
1
Product of differences divisible by 1991
Product of differences divisible by 1991
Source:
April 19, 2013
Problem Statement
Find the smallest positive integer
n
n
n
having the property that for any
n
n
n
distinct integers
a
1
,
a
2
,
…
,
a
n
a_1, a_2, \dots , a_n
a
1
,
a
2
,
…
,
a
n
the product of all differences
a
i
−
a
j
a_i-a_j
a
i
−
a
j
(
i
<
j
)
(i < j)
(
i
<
j
)
is divisible by
1991
1991
1991
.
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