Question 92
Seven points on a circle are numbered $1$ to $7$ in the clockwise direction. A grasshopper jumps in the counterclockwise direction, from one point to another on the circle. If the grasshopper is on an odd-numbered point, it moves one point, and moves two points if it is on an even-numbered point. If the grasshopper begins at the point $7$, where will it be after $2011$ jumps?