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Given a set of ‘n’ rays in a plane, we mean by ‘a reversal’ the operation of reversing precisely one ray and obtaining a new set of ‘n’ rays. Starting from 2009 rays and performing one million reversals, is it possible to reverse all the rays?

Given a set of ‘n’ rays in a plane, we mean by ‘a reversal’ the operation of reversing            precisely one ray and obtaining a new set of ‘n’ rays. Starting from 2009 rays and                       performing one million reversals, is it possible to reverse all the rays? 
 

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