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f(x)=f(f(x))=f(x^2)....how many such functions with degree >2 exist

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In a sequence of integers, A(n)=A(n-1)-A(n-2),where A(n) is the nth term in the sequence, n is an integer and n>=3, A(1)=1,A(2)=1. Calculate S(1000), where S(1000) is the sum of first 1000 terms. given a collection of point p in the plane, a 1-set is a point in p that can be separated from the rest by a line, i.e. the point lies on one side of the line while the others lie on the other side. the number of 1-set of p is denoted by n1(p). the maximum value of n1(p) over all configurations p od 9 points in the plane is