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National and Regional Contests
Russia Contests
All-Russian Olympiad Regional Round
1998 All-Russian Olympiad Regional Round
8.1
8.1
Part of
1998 All-Russian Olympiad Regional Round
Problems
(1)
n-digit numbers M , N - All-Russian MO 1998 Regional (R4) 8.1
Source:
9/17/2024
Are there
n
n
n
-digit numbers M and N such that all digits
M
M
M
are even, all
N
N
N
digits are odd, every digit from
0
0
0
to
9
9
9
occurs in decimal notation M or N at least once, and
M
M
M
is divisible by
N
N
N
?
number theory
Digits