Shiny Stone Location Heart Gold

dialogue

Description

call this scheme The Mad Hatter: In one room there are a number of characters, each has a hat, which can be white or black. All characters are the hat held by others, but nobody knows or can see himself.

that are supposed to have white hats should always make true statements and that those with black hats should always make false claims. However, as at first no one really knows what color hat, each character takes to start a position either. That is, each chooses (regardless of his hat) always make false statements or claims to always true.

When a character makes a statement, another person may warn you that he is not behaving correctly. That is, you can tell he is making a false statement when his hat is actually white, or is making a true statement while his hat is black. The warning is this: should not say that . The warning is opposite: Well said. It is clear that whoever does this warning may, in turn, be lying.

Where, from what you see and hear what a character is able to guess what color his own hat, then (without warning) begins to behave as the color indicated. If it concludes that its color is black, from that moment make false claims, if follows that it is white, will make true statements (this may mean or not a change in behavior that had been taking).

Note finally that all hear what others say and they are all perfect logicians, ie immediately know all the logical consequences of what is said.

The problem

We have four characters, will be called Abel, Benito, Carlos and Darius.

Abel Benito says: Your hat is black.

Carlos tells Abel should not say that.

Darius tells Carlos: Well said . Benito

tells Abel Your hat is white.

Darius tells Benito: should not say that.

Darius tells Abel Your hat is white. Benito

tells Darius should not say that.

Abel tells Darius Our hats are the same color .

What color is the hat of each? What each position initially adopted?