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{12003,22002,32001,42000,…,20031}\large \left \{\dfrac{1}{2003}, \dfrac{2}{2002}, \dfrac{3}{2001}, \dfrac{4}{2000}, \ldots, \dfrac{2003}{1} \right \} {20031,20022,20013,20004,…,12003}
For each of the 2003 fractions above, the sum of the numerator and denominator equal 2004. Find the number of fractions less than 1 which are irreducible.
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