construct/rlve prefix product permutation
construct/rlve prefix product permutation: a task in MathConstructOptimize-Envs-harbor (Harbor dataset). Find a permutation p 1, ..., p 197 of the integers 1, 2, ..., 197 such that the 197 prefix products p 1, p 1 p 2, ..., p 1 p 2 ... p 197 are pairwise distinct modulo 197.
The task
Find a permutation p_1, ..., p_197 of the integers 1, 2, ..., 197 such that the 197 prefix products p_1, p_1*p_2, ..., p_1*p_2*...*p_197 are pairwise distinct modulo 197.