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(-9) = -2142224657 f(-5) = -11545449 f(1) = 3 f(9) = 1712846899 f(0) = 1 f(7) = 171419151 f(8) =…
The task
A polynomial f(x) = a_0 + a_1 x + ... + a_9 x^9 of degree 9 with integer coefficients satisfies f(-9) = -2142224657 f(-5) = -11545449 f(1) = 3 f(9) = 1712846899 f(0) = 1 f(7) = 171419151 f(8) = 583278209 f(-6) = -58177151 f(-7) = -228822061 f(-8) = -750509439