Spider webs have two types of silk, sticky silk and strength silk, spiders do not move on the sticky silken threads only on the strength threads. Assume one type of spider creates webs such that the strength silks radiate form the center like bicycle spokes and the sticky threads are like concentric circles.

The strength webs are numbers 0 through n  in a clockwise fashion, starting at the "12 o'clock" position, these webs are equally spaced, the sticky webs are designated by sequential letters of the alphabet starting with A on the inner most circle. Write a code that accepts user input for the number of strength webs and a number of sticky webs and the number of flies that have been trapped. Generate the web then place the spider as shown (no graphics required). Randomly place the flies on the web. Have  your spider's path display to the screen. If the fly is closer to one strength web or the other then that should be the spider's  destination, else  it does not matter. Once a fly  is captured then the spider should travel to the next fly until all are captured.

Sample run: Input> 8

Input>  4

Input >I

Spider at  7, 0

Fly F  near 4, D.

(8 strength webs) (4 sticky circles) (1 fly)

(meaning it is on strand 7 but outside the sticky webs)

Spider travels to 7, D Spider travels to 7, C Spider travels to 7, B Spider travels to 7, A Spider travels to center Spider travels to 4, A Spider travels to 4, B Spider travels to 4, C Spider travels to 4, D Fly captured.