Yes...the proof is correct and this is what stone had suggested in his earlier post. Consider one "red" sector in the inner disk in each of the 200 different positions, it will match against exactly 100 sectors in the outer disk since there are 100 of the red sectors in the outer disk. Similarly for a white disk also, therefore there are a total of 200*100matching events and hence by PHP it is true that atleast one rotation must have 100 events.
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