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Argentina National Olympiad
2019 Argentina National Olympiad
1
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Part of
2019 Argentina National Olympiad
Problems
(1)
singular set A of distinct positive integers with n items
Source: 2019 Argentina OMA Finals L3 p1
1/16/2023
A set of distinct positive integers is called singular if, for each of its elements, after crossing out that element, the remaining ones can be grouped into two sets with no common elements such that the sum of the elements in the two groups is the same. Find the smallest positive integer
n
>
1
n>1
n
>
1
such that there exists a singular set
A
A
A
with
n
n
n
items.
algebra
number theory