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SMO 2013 Senior Round 1 Question 4

SMO · SMO 2013 Senior Round 1

Question 4

Let $n$ be a positive integer. Find the number of possible remainders when

$$2013^n-1803^n-1781^n+1774^n$$

is divided by $203$.
  1. $1$
  2. $2$
  3. $3$
  4. $4$
  5. More than 4