construct/rlve prefix sum permutation

construct/rlve prefix sum permutation: a task in MathConstructOptimize-Envs-harbor (Harbor dataset). Find a permutation p 1, ..., p 52 of the integers 1, 2, ..., 52 such that the 52 prefix sums p 1, p 1+p 2, ..., p 1+p 2+...+p 52 are pairwise distinct modulo 52.