Distribution of power congruence classes
Can we perhaps decipher the question as follows:
Let n and s be positive integers, let Q_{s}(n) be the sum of the numbers formed by the digits of n in groups of s, starting from the right, and let Q_{s}'(n) be the alternating such sum.
Show that Q_{s}(n)[itex]\equiv[/itex]n (mod 10^{s}1) and Q_{s}'(n)[itex]\equiv[/itex]n (mod 10^{s}+1)
