You are given two 10 -based integers b and x , and you are required to determine the following proposition is true or false:
For arbitrary b -based positive integer y=c1c2⋯cn¯¯¯¯¯¯¯¯¯¯¯¯¯ (ci is the i -th dight from left of y ), define f(y)=∑i=1nci , if f(f(⋯f(y)⋯))∞ can be divided by x , then y can be divided by x , otherwise y can't be divided by x .