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Find the number of polynomials P(x)P(x)P(x) with integer coefficients such that P(a)=b;P(b)=c;P(c)=aP(a)=b; P(b)=c; P(c)=aP(a)=b;P(b)=c;P(c)=a, where a,b,ca,b,ca,b,c are distinct natural integers.
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