VFM34 | Purgatory | Game Over (Bus drivers)

[ejjinami]

Current Vote Count

Player	Votes	Voters
	#	Votes Until Majority

Not voting: S0me0ne23, ManateeDude, non271103

Majority has been reached.

[ejjinami]

Ladd has been sent to Heaven.
They were a Spoiler: Citizen.
----------------------------------------------------

Break phase 3 starts now.
I will not be allowing break-skips until I find a replacement for Chemist1422.

Countdown to the end of break phase 3.

----------------------------------------------------

Riddle of the phase: Spoiler: On an otherwise deserted and isolated island, 200 perfect logicians are stranded. The islanders are perfectly logical in every decision they make, and they will not do anything unless they are absolutely certain of the outcome. However, they cannot communicate with each other. They are forbidden from speaking with one another, or signing, or writing messages in the sand, else they be shot dead by the captain of a mysterious ship that visits the island each night.

Of the 200 islanders, 100 have blue eyes, and 100 have brown eyes. However, no individual knows what color their own eyes are. There are no reflective surfaces on the island for the inhabitants to see a reflection of their own eyes. They can each see the 199 other islanders and their eye colors, but any given individual does not know if his or her own eyes are brown, blue, or perhaps another color entirely. And remember, they cannot communicate with each other in any way under penalty of death.

Each night, when the captain of the ship comes, the islanders have a chance to leave the barren and desolate spit of land they have been marooned on. If an islander tells the captain the color of his or her own eyes, they may board the ship and leave. If they get it wrong, they will be shot dead.

Now, there is one more person on the island: the guru, who the islanders know to always tell the truth. The guru has green eyes. One day, she stands up before all 200 islanders and says:

“I see a person with blue eyes.”

Who leaves the island? And when do they leave?

Feel free to PM me for a hint or if you want to check your answer. I’ll reveal the answer at the beginning of the next phase.

[ejjinami]

I apologize for the delay, starting the day soon.

[ejjinami]

Hint: Spoiler: It is nearly impossible to solve this problem without simplifying it first. So ask yourself this question: What if only one person on the island had blue eyes, and the other 199 had brown eyes? Well, seeing everyone else with brown eyes (and the guru with green), the fellow with blue eyes would realize he must be the person the guru was referring to when she said, "I see a person with blue eyes." And so he would leave that very first night when the ship comes to the island.
Okay, now imagine that there are only two
people with blue eyes and 198 with brown eyes. What would happen? Each blue-eyed person would look around and see 198 brown-eyed people, and the single other person with blue eyes. They would think to themselves: "If that person is the only one with blue eyes, then they will leave tonight on the ship." But the next morning, the other blue-eyed person is still on the island. So now each blue-eyed person thinks: "That person with blue eyes didn't leave. Therefore there must be another person with blue eyes, and because I do not see anyone else with blue eyes, it must be me."

The two blue-eyed islanders in this scenario realize this at the same time—on the morning of the second day when they see the other hasn't left. (They are perfect logicians, after all.) They both leave on the second night.

Now, what would happen if three of these logicians had blue eyes, and the other 197 had brown?
Full solution: Spoiler: It may be hard to conceptualize at first, but the pattern from the hint does in fact continue. All 100 blue-eyed people leave on the 100th night.

Let's take a closer look at this, picking up where the hint left off. You know that if there were only one person with blue eyes, they would realize it immediately after hearing the guru's statement because they see no one else with blue eyes. Therefore, that person would leave on the first night.

You also know that if there were two people with blue eyes, then they would both leave on the second night, because they would each look at the other blue-eyed person on the second morning and realize that the only reason the other blue-eyed person wouldn't leave on the first night is because they see another person with blue eyes. Seeing no one else with blue eyes, each of these two people realize it must be them.

Now consider the case of three blue-eyed islanders. It has been established that if only two people had blue eyes they would leave on the second night. You, the third blue-eyed person in our example, know this, as do the other two blue-eyed people. So when you wake up on the third morning, and the two other blue-eyed people have not left, you know that they must see another person with blue eyes, and you can see that no one else on the island has blue eyes, so you know it must be you. All three of you realize this simultaneously, and all three leave on the third night.

This is true for any number. Four people with blue eyes would leave on the fourth night, five on the fifth, and 100 on the 100th, all at once.


Hell phase 4 starts now and ends in 3 days (4.50 PM 07.08.18 BST+1).

[Eragon1329]

/vote UzayAltay

[ejjinami]

Current Vote Count

Player	Votes	Voters
	#	Votes Until Majority

Not voting: UzayAltay, Gobln, Jaegybomb, [Chemist1422], non271103, TheLukundo, S0me0ne23, ManateeDude

Countdown to the end of Hell Phase 4.

[UzayAltay]

/vote Non

[non271103]

Lynch pool today:

Chemist - He has clearly given up, for me that's a scum tell
Uzay - Barely no Content, lots of naked votes and is also scummy
S0meone - In my Scum PoE lynch, but he's here because ladd recommended him

Other scum is in {Eragon, Manatee, Gobln}

/vote Uzay

[non271103]

just remembered about Uzay and Eragon, if uzay flips scum Eragon is lock town

Current lock town pool is everyone not listed in my previous post

[UzayAltay]

Non , explain Jaegy .

[non271103]

Non , explain Jaegy .

Is Jaegy that hard to explain?
Do you not believe in his town slip?

[UzayAltay]

Non , explain Jaegy .

Is Jaegy that hard to explain?
Do you not believe in his town slip?

I already Said that .

[non271103]

Non , explain Jaegy .

Is Jaegy that hard to explain?
Do you not believe in his town slip?

I already Said that .

From what I remembered, I don't think you've ever said why his townslip was invalid, all you said was that the townslip is not enough for being confirmed town, which is dumb.

[Eragon1329]

Yep.

Non is also lock town from uzay and Jamez

[UzayAltay]

Non , explain Jaegy .

Is Jaegy that hard to explain?
Do you not believe in his town slip?

I already Said that .

From what I remembered, I don't think you've ever said why his townslip was invalid, all you said was that the townslip is not enough for being confirmed town, which is dumb.

Thunderdome was The only thing towny in his 10+page of ISO .
I am thinking he is scum with Non , so even it seems townie , I think it is probably A scum play .

[non271103]

Non , explain Jaegy .

Is Jaegy that hard to explain?
Do you not believe in his town slip?

I already Said that .

From what I remembered, I don't think you've ever said why his townslip was invalid, all you said was that the townslip is not enough for being confirmed town, which is dumb.

Thunderdome was The only thing towny in his 10+page of ISO .
I am thinking he is scum with Non , so even it seems townie , I think it is probably A scum play .

So you’re admitting that he townslipped but that he isn’t town?

[Gobln]

/vote Gobln

[non271103]

/vote Gobln

Can you give reads?

[UzayAltay]

Non , explain Jaegy .

Is Jaegy that hard to explain?
Do you not believe in his town slip?

I already Said that .

From what I remembered, I don't think you've ever said why his townslip was invalid, all you said was that the townslip is not enough for being confirmed town, which is dumb.

Thunderdome was The only thing towny in his 10+page of ISO .
I am thinking he is scum with Non , so even it seems townie , I think it is probably A scum play .

So you’re admitting that he townslipped but that he isn’t town?

You know townslips can be faked ?
And Everyone townreading him is saying thunderdome , townslip , etc . I am asking anything townie Except The posts in thunderdome , Nobody give me anything until that point .

[non271103]

Non , explain Jaegy .

Is Jaegy that hard to explain?
Do you not believe in his town slip?

I already Said that .

From what I remembered, I don't think you've ever said why his townslip was invalid, all you said was that the townslip is not enough for being confirmed town, which is dumb.

Thunderdome was The only thing towny in his 10+page of ISO .
I am thinking he is scum with Non , so even it seems townie , I think it is probably A scum play .

So you’re admitting that he townslipped but that he isn’t town?

You know townslips can be faked ?
And Everyone townreading him is saying thunderdome , townslip , etc . I am asking anything townie Except The posts in thunderdome , Nobody give me anything until that point .

Then give me some scummy posts outside the thunderdome then.

[Gobln]

/vote Gobln

Can you give reads?

yea i can

non town
s0meone town
luk still scum
other people scum or town

[UzayAltay]

Non , explain Jaegy .

Is Jaegy that hard to explain?
Do you not believe in his town slip?

I already Said that .

From what I remembered, I don't think you've ever said why his townslip was invalid, all you said was that the townslip is not enough for being confirmed town, which is dumb.

Thunderdome was The only thing towny in his 10+page of ISO .
I am thinking he is scum with Non , so even it seems townie , I think it is probably A scum play .

So you’re admitting that he townslipped but that he isn’t town?

You know townslips can be faked ?
And Everyone townreading him is saying thunderdome , townslip , etc . I am asking anything townie Except The posts in thunderdome , Nobody give me anything until that point .

Then give me some scummy posts outside the thunderdome then.

:think:
I already Said What I found scummy with explaining .

[Gobln]

I just can't get comfortable in this game.

/vote unvote

Who should I sheep? Non, you can choose who I'll sheep until the game is 0ver.

[ManateeDude]

/vote Uzay

Sheep me gobln. Theres no way hes town here.

[UzayAltay]

/vote Uzay

Sheep me gobln. Theres no way hes town here.

Than explain me Why I am scum , and Why Non/Jamez/Jaegy isnt A scumteam .