MathDB
Problem 3

Source: Paraguayan Mathematical Olympiad 2013

July 25, 2015
number theory

Problem Statement

We divide a natural number NN, that has kk digits, by 1919 and get a residue of 10k−2−Q10^{k-2} -Q, where QQ is the quotient and Q<101Q < 101. Also, 10k−2−Q10^{k-2}-Q is larger than 00. How many possible values of NN are there?
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