construct/rlve prefix sum permutation
construct/rlve prefix sum permutation: a task in MathConstructOptimize-Envs-harbor (Harbor dataset). Find a permutation p 1, ..., p 4 of the integers 1, 2, ..., 4 such that the 4 prefix sums p 1, p 1+p 2, ..., p 1+p 2+...+p 4 are pairwise distinct modulo 4.
The task
Find a permutation p_1, ..., p_4 of the integers 1, 2, ..., 4 such that the 4 prefix sums p_1, p_1+p_2, ..., p_1+p_2+...+p_4 are pairwise distinct modulo 4.