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Problems
Contests
National and Regional Contests
Turkey Contests
National Olympiad First Round
2004 National Olympiad First Round
26
26
Part of
2004 National Olympiad First Round
Problems
(1)
P26 [Number Theory] - Turkish NMO 1st Round - 2004
Source:
11/15/2013
What is the last two digits of base-
3
3
3
representation of
200
5
200
3
2004
+
3
2005^{2003^{2004}+3}
200
5
200
3
2004
+
3
?
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21
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<span class='latex-bold'>(A)</span>\ 21 \qquad<span class='latex-bold'>(B)</span>\ 01 \qquad<span class='latex-bold'>(C)</span>\ 11 \qquad<span class='latex-bold'>(D)</span>\ 02 \qquad<span class='latex-bold'>(E)</span>\ 22
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22
modular arithmetic