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Logic Level 3

A prison warden plays the following game with 4 male prisoners, who are all eager to escape.

Three of them are standing on steps looking straight ahead, such that the 1st^\text{st} one at the top can see both the 2nd^\text{nd} and 3rd,^\text{rd}, and the 2nd^\text{nd} in the middle can see only the 3rd^\text{rd} at the bottom who can see nobody. The 4th^\text{th} prisoner is in a room, totally separated from the other three. But they can all hear the voices of others.

The prisoners know that there are 2 black and 2 white hats available for them each to wear, but they do not know their own hat color. The 1st^\text{st} is wearing a black hat, the 2nd^\text{nd} is wearing a white hat, the 3rd^\text{rd} is wearing a black hat, and the 4th^\text{th} is wearing a white hat.

The prison warden promised that the first to shout his color correctly will be released, otherwise he will be shot. Who will be the first to shout his hat color?

Image credit: Wikipedia Oxfordian Kissuth

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