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National and Regional Contests
PEN Problems
PEN H Problems
58
58
Part of
PEN H Problems
Problems
(1)
H 58
Source:
5/25/2007
Solve in positive integers the equation
1
0
a
+
2
b
ā
3
c
=
1997
10^{a}+2^{b}-3^{c}=1997
1
0
a
+
2
b
ā
3
c
=
1997
.
modular arithmetic
algorithm
Diophantine Equations