There is a place called Hyperborea and it is divided into three regions. Those who live in the southern region are known as Sororeans and always speak truthfully. Those who live in the northern region are known as Nororeans and always speak falsely. Those who live in the middle region are known as Midroreans and make statements that are alternately true and false, but in which order is unknown. Lastly, there are a few Hyperboreans whose truthfullness is unknown and they are called Outliers.
The following statements are made by four inhabitants.
Inhabitant A:
1. My statements are not all truthful.
2. We are overworked.
3. We are all lucky to be here.
4. We Hyperboreans are favored by the gods.
Inhabitant B:
1. I agree with A's third statement.
2. Every time I see a visitor, I think maybe it is one of the gods, in disguise.
3. I am doing more than my share of the work.
4. My statements are all truthful.
Inhabitant C:
1. My statements are all truthful.
2. D's second statement is false.
3. The gods do not visit us in disguise.
3. We are all overworked.
Inhabitant D:
1. C's first statement is truthful.
2. B's third statement is truthful.
3. My statements are all truthful.
4. The gods frequently visit us in disguise.
Which one is the Sororean, which one is the Nororean, which one is the Midrorean, and which one is the Outlier?
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There is a place called Hyperborea and it is divided into three regions. Those who live in the southern region are known as Sororeans and always speak truthfully. Those who live in the northern region are known as Nororeans and always speak falsely. Those who live in the middle region are known as Midroreans and make statements that are alternately true and false, but in which order is unknown. Lastly, there are a few Hyperboreans whose truthfullness is unknown and they are called Outliers.
The following statements are made by four inhabitants.
Inhabitant A:
1. My statements are not all truthful.
2. We are overworked.
3. We are all lucky to be here.
4. We Hyperboreans are favored by the gods.
Inhabitant B:
1. I agree with A's third statement.
2. Every time I see a visitor, I think maybe it is one of the gods, in disguise.
3. I am doing more than my share of the work.
4. My statements are all truthful.
Inhabitant C:
1. My statements are all truthful.
2. D's second statement is false.
3. The gods do not visit us in disguise.
3. We are all overworked.
Inhabitant D:
1. C's first statement is truthful.
2. B's third statement is truthful.
3. My statements are all truthful.
4. The gods frequently visit us in disguise.
Which one is the Sororean, which one is the Nororean, which one is the Midrorean, and which one is the Outlier?
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