Question 56
A grasshopper lives on a coordinate line. It starts off at $1$. It can jump either $1$ unit or $5$ units either to the right or to the left. However, the coordinate line has holes at all points with coordinates divisible by $4$ (e.g. there are holes at $-4, 0, 4, 8$ etc.), so the grasshopper can not jump to any of those points. Can it reach point $3$ after $2003$ jumps?