You are looking after a rather annoying nephew for the afternoon.
The internet is down, so you devise a task for him.
You draw the following circle:
You put a counter on the \(\text{D}\) at the leftmost part of the circle.
You tell him to follow these rules:
- If the counter is on \(\text{A}\), move it clockwise \(1\) position.
- If the counter is on \(\text{B}\), move it clockwise \(4\) positions.
- If the counter is on \(\text{C}\), move it clockwise \(2\) positions.
- If the counter is on \(\text{D}\), move it to directly opposite its current position.
- If the counter is on \(\text{E}\), move it anticlockwise \(2\) positions.
You then ask him where the counter would be after \(61\) moves.
Which letter would the counter be on?