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
90
13905
190
-190
-75
75
Red
195
-195
100
-100
Cue Ball Velocity1.07Cue Ball Velocity0
10255,255,255,150
90
13905
190
-190
-75
75
195
-195
100
-100
0-200,100
0,110
200,100
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0,-110
200,-100