Let x1, x2, x3, … be a sequence of integers which has infinitely many positive integers as well as infinitely many negative integers. If for every positive integer n, the remainders of x1, x2, x3, …, xn upon divisions by n are all distinct, then, choose the most correct statement about the sequence.Please explain the answer !!

1) Every integer appears at most once in the sequence
2) Every integer appears at least once in the sequence
3) Every integer appears exactly once in the sequence
4) None of the above