construct/rlve prefix sum permutation
construct/rlve prefix sum permutation: a task in MathConstructOptimize-Envs-harbor (Harbor dataset). Find a permutation p 1, ..., p 6 of the integers 1, 2, ..., 6 such that the 6 prefix sums p 1, p 1+p 2, ..., p 1+p 2+...+p 6 are pairwise distinct modulo 6.
The task
Find a permutation p_1, ..., p_6 of the integers 1, 2, ..., 6 such that the 6 prefix sums p_1, p_1+p_2, ..., p_1+p_2+...+p_6 are pairwise distinct modulo 6.