A confusing number is a number that, when rotated 180 degrees, produces a valid yet different number.

Digits can be rotated $180$ degrees according to the following rules:

• The digits $0$, $1$, $6$, $8$, and $9$ become $0$, $1$, $9$, $8$, and $6$ respectively when rotated.

• The digits $2$, $3$, ...