A geometry problem by Chandrakant Pandey

Geometry Level pending

For any natural numbers n, (n>=3), let f(n) denote the number of congruent integer - sided triangles with perimeter n. (e. g., f(3) = 1; f(4) =0; f(7) =2.).

    Given.      f(2000)  =  p *  f(1997).                     * means multiply.

then what is the value of p?

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