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International Zhautykov Olympiad
2024 International Zhautykov Olympiad
1
1
Part of
2024 International Zhautykov Olympiad
Problems
(1)
IZhO 2024, P1
Source:
1/9/2024
In an alphabet of
n
n
n
letters, is
s
y
l
l
a
b
l
e
syllable
sy
ll
ab
l
e
is any ordered pair of two (not necessarily distinct) letters. Some syllables are considered
i
n
d
e
c
e
n
t
indecent
in
d
ece
n
t
. A
w
o
r
d
word
w
or
d
is any sequence, finite or infinite, of letters, that does not contain indecent syllables. Find the least possible number of indecent syllables for which infinite words do not exist.
combinatorics