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Diophantine Equationshard
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Determine which of the following integer triples (x,y,z)(x, y, z)(x,y,z) satisfies the equation x2+y2+z2=3xyzx^2 + y^2 + z^2 = 3xyzx2+y2+z2=3xyz (Markoff equation) such that x<y<zx < y < zx<y<z.