construct/rlve prefix sum permutation

construct/rlve prefix sum permutation: a task in MathConstructOptimize-Envs-harbor (Harbor dataset). Find a permutation p 1, ..., p 18 of the integers 1, 2, ..., 18 such that the 18 prefix sums p 1, p 1+p 2, ..., p 1+p 2+...+p 18 are pairwise distinct modulo 18.