construct/rlve prefix product permutation
construct/rlve prefix product permutation: a task in MathConstructOptimize-Envs-harbor (Harbor dataset). Find a permutation p 1, ..., p 7883 of the integers 1, 2, ..., 7883 such that the 7883 prefix products p 1, p 1 p 2, ..., p 1 p 2 ... p 7883 are pairwise distinct modulo 7883.
The task
Find a permutation p_1, ..., p_7883 of the integers 1, 2, ..., 7883 such that the 7883 prefix products p_1, p_1*p_2, ..., p_1*p_2*...*p_7883 are pairwise distinct modulo 7883.