The key thing I noticed pretty fast is that A and B are directly contradicting each other, so exactly one of them is telling the truth.
Treat the statements as logical constraints and test each possible assignment of types to A and B. Use case analysis or derive a contradiction to determine the unique consistent assignment.
Pro tip: After solving, briefly explain how you would generalize the approach to similar puzzles, showing algorithmic thinking and problem-solving skills.
Knights always tell the truth; knaves always lie. Each person is exactly one type.
There are four possibilities: both knights, both knaves, A knight and B knave, A knave and B knight.
A says 'we are both the same type.' Check if this statement is true or false for each assignment.
B says 'we are each a different type.' Check if this statement is true or false for each assignment.
For each assignment, ensure that if the person is a knight, their statement is true; if a knave, their statement is false. Find the consistent assignment.
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