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 18 x^18 of degree 18 with integer coefficients satisfies f(-12) = 74698078822391405235 f(17) = 43649794214300099405319 f(9) = 476326279877929167 f(-15) =…
The task
A polynomial f(x) = a_0 + a_1 x + ... + a_18 x^18 of degree 18 with integer coefficients satisfies f(-12) = 74698078822391405235 f(17) = 43649794214300099405319 f(9) = 476326279877929167 f(-15) = 4210461041507507211303 f(-11) = 15486482568262947827 f(12) = 83573171142477652659 f(2) = 893439 f(3) = 1274336985 f(1) =…