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National and Regional Contests
Moldova Contests
Chisinau City MO
1976 Chisinau City MO
119
119
Part of
1976 Chisinau City MO
Problems
(1)
Chisinau MO p119 1976 VIII Serpent Gorynych has 1976 heads
Source:
3/16/2021
The Serpent Gorynych has
1976
1976
1976
heads. The fabulous hero can cut down
33
,
21
,
17
33, 21, 17
33
,
21
,
17
or
1
1
1
head with one blow of the sword, but at the same time, the Serpent grows, respectively,
48
,
0
,
14
48, 0, 14
48
,
0
,
14
or
349
349
349
heads. If all the heads are cut off, then no new heads will grow. Will the hero be able to defeat the Serpent?
number theory
algebra