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2016 LMT
24
24
Part of
2016 LMT
Problems
(1)
2016 LMT Individual #24
Source:
4/10/2016
Let
S
S
S
be a set consisting of all positive integers less than or equal to
100
100
100
. Let
P
P
P
be a subset of
S
S
S
such that there do not exist two elements
x
,
y
ā
P
x,y\in P
x
,
y
ā
P
such that
x
=
2
y
x=2y
x
=
2
y
. Find the maximum possible number of elements of
P
P
P
.Proposed by Nathan Ramesh