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) = -1815681664 f(9) = 2078252882 f(-5) = -8701876 f(-1) = -8 f(0) = -1 f(6) = 56217671 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(-9) = -1815681664 f(9) = 2078252882 f(-5) = -8701876 f(-1) = -8 f(0) = -1 f(6) = 56217671 f(-3) = -81298 f(2) = 4087 f(-7) = -185728670 f(-8) = -624056833