Suppose you are Cash and you are town. Everybody decides to NL
You can decide who checks who and everybody will follow you.
Mafia will kill next night. If they do not, then Cops get more reports. So we are assuming that the mafia will kill.
Who should check who so that the next day you know both mafia FYPOV regardless of who the mafia kills.
1- Assume the scenario where maf keeps you alive. So you do not know the report of the dead
2- Assume the scenario where you die n2, so you know 6 reports in total.
PS: If someone can come up with a solution to this without any extra information added, then all is well. Else you can ask for a few additions to data like - both mafia will inno their check next day, or everybody will get inno or something. Or we can replace Confused cop with Villager. But right now let us see if we can solve this.
Is there a unique solution? Have you already solved it? There are many cases, I'll try to write down this evening this problem and say if there's a unique solution. And btw I'm not bad at math, and I answer you with valid arguments
Sorry, i am not that smart. For me everything is possible. Under everything, i mean litteraly everything c: If later someone solves it i would love to prove that he is wrong.
From cash point of view, he is only not naive cop. Thats it. you can be everything else. Thats why i will make everyone check Shacky, or at least i will do it myself. First of all you have to find if you are confused or not. Second is to see what everyone else will have as report. Since guilty/inno on the same person, tehre is a high chance other cops may give different reports. if that happens, then most probably the suspect is mafia, and you are real cop or insane.
You can not be sure about anyone but yourself, and about Shacky.
If you die, this would mean you were pretty much spot on.
either you are illiterate or you are trolling. you do not have to find mafia independently. you have to find mafia from cash's point of view. You do not have to confirm mafia for everybody. It is obvious that you can't know what role the dead is. if you read the op, you can understand the question and all the limitations and scenarios. But you are too lazy to read.
Pranay, what you are giving is overly complicated because 1: We have no idea what cop was Arcbell. 2: Mafia obviously faked the reports so there are 2 fake reports. 3: Confused cop has 50/50 chance to give guilty or innocent.
No one is town , except cash as you say. We can not deduce who is mafia because we have no idea what is the dead cop, and we do not know if mafia has figured what is the dead cop based on the other reports, since they know each other , and ignore each other reports.
xxerox if you are not able to solve or contribute to the solution, then please dont post. if you are giving an approach, then please elaborate on it by giving scenarios. just telling what you would have them do will not be enough . you need to tell us your analysis of the resulting reports too.
Imo you can't mathematically solve this. Because, over mafia ccing cops, there will be also cops ccing each other (I mean insane and paranoid can have same reports, as sane and naive, sane and para, ecc...) Then, obviously, you can't know which cop died, so there can be situations where mafia seems legit cop, if he claims as the role is dead, and real cops are cced (as I said b4). In two days you have 2 dead cops, so you have really insufficent infos. Maybe on 3-way you'll have automatically who mafia is. With this few infos, you can have just cop ccs, if you are luck, but you can't clear/confirm someone