The intermezzo problem is quite hard, even though it was meant as a resting problem while the really hard Landau's problem is hanging over us.
Unfortunately even this problem is hard enough, but Oscar Cunningham (what a well chosen name!) has some good ideas/solutions, just as before.
Meanwhile, try this rather simple problem with an interesting solution:
https://protokol2020.wordpress.com/2017/03/26/intermezzo-intermezzo-problem/
Hfvat gur sbezhyn ng Unjxvat enqvngvba - Oynpx ubyr rincbengvba tvirf nobhg 3.6 10^28 xt, be nobhg 0.018 fbyne znffrf. Juvpu vf vagrerfgvat orpnhfr zbfg oynpx ubyrf jvyy or rira ynetre guna gung naq fb jvyy gnxr rira ybatre gb rincbengr. Fb rirel gval nzbhag bs znff nqqrq gb n oynpx ubyr vapernfrf vgf yvsrfcna ol n uhtr* nzbhag.
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