Question 71
For which greatest value of $n$, there exist integers $a_1, a_2, ..., a_n$ and $b_1, b_2, ..., b_n$ such that:
* all numbers $b_1, b_2, ..., b_n$ are different and lie in the range $[0; 99]$;
* $1 \le a_1 \lt a_2 \lt ... \lt a_n \le 100$;
* for all $i: 1 \le i \le n$, $b_i = a_i - i$ or $b_i = a_i - i + n$ holds?
* all numbers $b_1, b_2, ..., b_n$ are different and lie in the range $[0; 99]$;
* $1 \le a_1 \lt a_2 \lt ... \lt a_n \le 100$;
* for all $i: 1 \le i \le n$, $b_i = a_i - i$ or $b_i = a_i - i + n$ holds?