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2016 USAJMO
4
4
Part of
2016 USAJMO
Problems
(1)
2016 Sets
Source: 2016 USAJMO 4
4/20/2016
Find, with proof, the least integer
N
N
N
such that if any
2016
2016
2016
elements are removed from the set
1
,
2
,
.
.
.
,
N
{1, 2,...,N}
1
,
2
,
...
,
N
, one can still find
2016
2016
2016
distinct numbers among the remaining elements with sum
N
N
N
.
AMC
USA(J)MO
USAJMO
2016 USAJMO
Sets