There are countless ideas. Perhaps you can look up the Euler line or the 9-point circle.
That's a pool table; A,B,C,D,E,F are the 6 pockets; cue ball o at center.Code:A B C o F E D
Pick a pocket; how can you sink cue ball in chosen pocket after hitting
all 6 "banks" (AB,BC,CD,DE,EF,FA : not necessarily in that order) ?
All banks equal to 6 feet in length.
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