Little Dima misbehaved during a math lesson a lot and the nasty teacher Mr. Pickles gave him the following problem as a punishment. Find all integer solutions x (0?? x ??10 9 ) of the equation: x ?=? b · s ( x ) a ?? c ,? where a , b , c
Little Dima misbehaved during a math lesson a lot and the nasty teacher Mr. Pickles gave him the following problem as a punishment.
Find all integer solutions x (0? x ? 9 ) of the equation:
x ?=? b · s ( x ) a ?+? c ,?where a , b , c are some predetermined constant values and function s ( x ) determines the sum of all digits in the decimal representation of number x .
The teacher gives this problem to Dima for each lesson. He changes only the parameters of the equation: a , b , c . Dima got sick of getting bad marks and he asks you to help him solve this challenging problem.
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