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*.