Distribution of power congruence classes

Norwegian

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)

Norwegian	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)