Let the vertex A of ABC moves on the curve xy = 1. If the perpendicular bisectors of sides AB and AC are given by y = 0, y – x = 0 respectively and the locus of orthocenter of ABC is ay2 – bxy + c = 0; (a, b, c belong to N and HCF of a, b, c is 1), then the value of a – b + c is _____

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