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Regional Mathematical Olympiad
2014 India Regional Mathematical Olympiad
3
Indian RMO 2014 P3 (WB)
Indian RMO 2014 P3 (WB)
Source:
December 7, 2014
Problem Statement
Suppose for some positive integers
r
r
r
and
s
s
s
,
2
r
2^r
2
r
is obtained by permuting the digits of
2
s
2^s
2
s
in decimal expansion. Prove that
r
=
s
r=s
r
=
s
.
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