IMO Shortlist 2016 problem A6


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3. listopada 2019.
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The equation (x-1)(x-2)\cdots(x-2016)=(x-1)(x-2)\cdots (x-2016)is written on the board, with 2016 linear factors on each side. What is the least possible value of k for which it is possible to erase exactly k of these 4032 linear factors so that at least one factor remains on each side and the resulting equation has no real solutions?

Izvor: https://www.imo-official.org/problems/IMO2016SL.pdf