PotemkinCycle is Intense.
Its someday of the week. I am in Germany. I wake up in the morning. Open messenger. Adhyyan has asked us to try Potemkin Cycle from CEOI 2015 day1. I ignore it for the day, but again the next day there is some discussion about it in the group. I download and open it too. A biggg mistake. Problem: find any cycle with >3 nodes so that there are no edges between 2 nodes in this cycle unless they are consecutive nodes. (Chordless cycle ?!). N=1000. M=100,000 Simple enough statement. How hard can it be. Its the next day morning, and I start thinking on it. Have a few ideas but quickly discard them. Finding a cycle and checking is ofcourse exponential. Can the solution be randomized? Maybe. Who knows. Meanwhile it see that adhyyan has already seen the editorial, and coded. WA. Anay meanwhile reads it, and after a few minutes (as always) says he has got it. PMing Adhyyan.I have another wrong idea : fix 1st and 3rd node of cycle and see if a possibke 2nd and 4th no...