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Rioplatense Mathematical Olympiad, Level 3
2022 Rioplatense Mathematical Olympiad
4
Rioplatense L-1 2022 #4
Rioplatense L-1 2022 #4
Source:
December 13, 2022
number theory
Problem Statement
Let
L
L
L
be the number formed by
2022
2022
2022
digits equal to
1
1
1
, that is,
L
=
1111
…
111
L=1111\dots 111
L
=
1111
…
111
. Compute the sum of the digits of the number
9
L
2
+
2
L
9L^2+2L
9
L
2
+
2
L
.
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