construct/rlve prefix product permutation
construct/rlve prefix product permutation: a task in MathConstructOptimize-Envs-harbor (Harbor dataset). Find a permutation p 1, ..., p 53 of the integers 1, 2, ..., 53 such that the 53 prefix products p 1, p 1 p 2, ..., p 1 p 2 ... p 53 are pairwise distinct modulo 53.
The task
Find a permutation p_1, ..., p_53 of the integers 1, 2, ..., 53 such that the 53 prefix products p_1, p_1*p_2, ..., p_1*p_2*...*p_53 are pairwise distinct modulo 53.