Peter has recently been fascinated by numbers that can be expressed in the formf(a,b,c)=a(b-c)^3+b(c-a)^3+c(a-b)^3 for some integers a,b, and c.How many positive integers N=1000 can be expressed in the form f(a,b,c)As a specific example, since f(-1,2,3)=48, hence 48 can be expressed in the form of f(a,b,c).

Veer Kashyap , 11 Years ago

Grade 11