We express the solution of (1) as a n-digit number
in base p by
with single-digit numbers 
.
And we recurrently define integer variables 
by
such that
Since must satisfy equation (1),
where
All the 
must be integers and the condition (12) is rewritten by
Therefore, 
can be one or two digit number p+s.
If 
,
If 
and 
,
(13) can be transformed into
where 
is single-digit number.
If is one digit number, 
is derived from
Using 
which is determined in (23) with ,
is given by
Similarly, if is two-digit number , and are given by
and
using single-digit number s.
