construct/rlve polynomial interpolation
construct/rlve polynomial interpolation: a task in MathConstructOptimize-Envs-harbor (Harbor dataset). A polynomial f(x) = a 0 + a 1 x + ... + a 9 x^9 of degree 9 with integer coefficients satisfies f(7) = 112096775 f(4) = 658472 f(-4) = -778856 f(6) = 27470604 f(-9) = -1185491961 f(1) = -1 f(3) =…
The task
A polynomial f(x) = a_0 + a_1 x + ... + a_9 x^9 of degree 9 with integer coefficients satisfies f(7) = 112096775 f(4) = 658472 f(-4) = -778856 f(6) = 27470604 f(-9) = -1185491961 f(1) = -1 f(3) = 44295 f(-2) = -1060 f(-5) = -5912185 f(8) = 377702800