construct/rlve crt
construct/rlve crt: a task in MathConstructOptimize-Envs-harbor (Harbor dataset). Find any non-negative integer x satisfying all of the following 3 congruences (the moduli need not be pairwise coprime; the system is consistent): x ≡ 15 (mod 16) x ≡ 25 (mod 51) x ≡ 49 (mod 78)
The task
Find any non-negative integer x satisfying all of the following 3 congruences (the moduli need not be pairwise coprime; the system is consistent): x ≡ 15 (mod 16) x ≡ 25 (mod 51) x ≡ 49 (mod 78)