First, you need to define "improper touch." To me, this means intentional, not accidental. If you are just standing there and the train sways a little and causes a woman's rear end to brush against your hand, is that considered "improper touch?"
Accidental touching will happen, and there isn't anything you can do to prevent it, especially on a crowded train. But there is no excuse for improper touching of any kind at any time, even if it;s EXTREMELY crowded.
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