After deciphering the mysterious letter Igor's boss received, Igor realized that before he could do anything about it, he'd better find out if the letter is real information, or meant to sabotage his work. His neighbors weren't really fond of their work, which was loud and often took place at night, and produced unfortunate smells.
He knew his neighbors wouldn't just give him the answers he wanted, but he set out with a plan. He gathered some of his loose electronics and put together what he needed, then visited the houses.
Igor knew for sure the letter was sent by one of three neighbors: Vladimir, Khamen, or Michael. He went to the three houses and got three statements from each neighbor. Here are the statements:
- Oh, that letter? I sent that letter!
- And if I did, I put misleading clues in it!
- Hm. Well, actually, Michael sent the letter.
- Vladimir? That guy is the worst! If he wrote you that letter he definitely would have put false information.
- Michael? Wow, he's just as bad! He would have given you really bad information.
- Eh... well, I would have put the wrong details in the letter too.
- Well, if Khamen had sent that letter, it definitely would have had fake details
- And, as it turns out, he DID write that letter.
- Although honestly, it doesn't really matter who wrote it.
Having taken the statements, Igor rushed home. "Ah, the fools! They didn't realize I had brought my device that would be able to tell if they were lying or not! Now all I need to do is... Oh."
As he took out the device, he noticed that it had melted a little by coming in contact with some loose electricity he had been keeping in his pocket.
"That's not really good... can I salvage anything here? Hmmm. Well, it looks like they all told the same number of lies, so at least that should help."
Can Igor trust the information in the letter? And does he know who wrote it?