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Problems
Contests
National and Regional Contests
Turkey Contests
National Olympiad First Round
2010 National Olympiad First Round
20
20
Part of
2010 National Olympiad First Round
Problems
(1)
Turkey NMO 2010 1st Round - P20 (Combinatorics)
Source:
7/26/2012
Starting from
0
0
0
, at each step we take
1
1
1
more or
2
2
2
times of the previous number. Which one below can be get in a less number of steps?
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A
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2011
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2010
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C
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2009
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D
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2008
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E
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2007
<span class='latex-bold'>(A)</span>\ 2011 \qquad<span class='latex-bold'>(B)</span>\ 2010 \qquad<span class='latex-bold'>(C)</span>\ 2009 \qquad<span class='latex-bold'>(D)</span>\ 2008 \qquad<span class='latex-bold'>(E)</span>\ 2007
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2011
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>
(
B
)
<
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>
2010
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x
−
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′
>
(
C
)
<
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>
2009
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x
−
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′
>
(
D
)
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>
2008
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x
−
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>
(
E
)
<
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2007