Determine the smallest positive integer nnn such that n≡3(mod7),n≡5(mod8),n≡2(mod9)n \equiv 3 \pmod 7, n \equiv 5 \pmod 8, n \equiv 2 \pmod 9n≡3(mod7),n≡5(mod8),n≡2(mod9).
409409409
419419419
429429429
439439439