Here are this week’s solutions.
Knights and Knaves
In the land of knights and knaves, everyone is either a knight or a knave. Knights always tell the truth, while knaves always tell lies. It is impossible to tell apart knights and knaves by appearance.
Level 1
In the land of knights and knaves, the king’s crown is stolen, and four suspects are questioned.
Suspect 1 says: “Suspect 3 stole the crown”
Suspect 2 says: “I did not steal the crown”
Suspect 3 says: “Suspect 4 stole the crown”
Suspect 4 says: “Suspect 3 is a knave”
If exactly three of the suspects are knaves, who stole the crown?
Spoiler Inside: Level 1 Solution 
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We will consider the statements to find the combinations that lead to exactly three lies.
If suspect 1 is telling the truth, then suspect 3 stole the crown and suspect 2 would be telling the truth when he says “I did not steal the crown.”
Likewise, if suspect 3 is telling the truth, suspect 2 would also be telling the truth.
If suspect 4 is telling the truth, then suspect 3 is lying and it is possible for suspects 1 and 2 to be lying as well. Hence, suspect 2 is a knave and did steal the crown.

Level 2
In the land of knights and knaves, there are three round tables with the same number of people sitting around each of them. At the first table, each person claims that they are sitting next to a knight and a knave. At the second table, each person claims that the three people to the left of them are all knaves. At the third table, each person claims that the person two seats to the left is a liar.
What is the smallest possible number of seats at each table?
Spoiler Inside: Level 2 Solution 
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At table 1,each person claims to be sitting next to a knight and a knave. This means a knight actually is sitting next to a knight and a knave and a knave would either be sitting next to two knights or two knaves. Since the first conditions gives us two knights together, we have a pattern TTLTTL… where T is a knight (truthteller) and L is a knave (liar). This was the intended interpretation, however, since it wasn’t specified otherwise, it would also be possible that everyone at the table is a knave.
At the second table, there would be three knaves to the left of any knight and less than three knaves immediately to the left of any knave, giving us a pattern of LLLTLLLT…
At the third table, the person two seats to the left of a knight is a knave and the person two seats to the left of a knave is a knight. This gives us a pattern TTLLTTLL…
If we have at least one knight at each table, we have pattern repeats of 3, 4, and 4 which makes 12 the smallest table. However, if we allow table 1 to be all knaves, we can have tables of 4.

Level 3
In the land of knights and knaves, you encounter five people and you ask each of them how many of the other four are knights and how many are knaves.
Person 1 says: “There are three knights and one knave”
Person 2 says: “There are no knights and four knaves”
Person 3 says: “There is one knight and three knaves”
Person 4 says: “There are four knights and no knaves”
Before you can ask person 5, he says “it’s my birthday today!”
Is today person 5’s birthday? Don’t just guess. Determine who is a knight and who is a knave.
Let’s see which statements lead to contradictions.
If Person 1 is telling the truth, all other statements must be true, but it is not possible for 1 and 2 to both be true so Person 4 is a knave.
If Person 1 is telling the truth, Persons 2, 3, and 5 must be telling the truth, but Person 2 contradicts Person 1 so Person 1 is a knave.
If Person 2 is telling the truth, then everyone else is lying. Person 3 would be telling the truth when he said there was 1 knight, referring to Person 2, so Person 2 is a knave.
If Person 3 is telling the truth, there is one knight. We have already eliminated Persons 1, 2, and 4, so the only other knight is Person 5 and it is his birthday.
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