You are visiting the island described in Example 2.3.14 and have the following encounters with natives.
a. Two natives A and B address you as follows:
A says: Both of us are knights.
B says: A is a knave.
What are A and B?
b. Another two natives C and D approach you but only C speaks.
C says: Both of us are knaves.
What are C and D?
c. You then encounter natives E and F.
E says: F is a knave.
F says: E is a knave.
How many knaves are there?
d. Finally, you meet a group of six natives, U, V, W, X, Y, and Z, who speak to you as follows:
U says: None of us is a knight.
V says: At least three of us are knights.
W says: At most three of us are knights.
X says: Exactly five of us are knights.
Y says: Exactly two of us are knights.
Z says: Exactly one of us is a knight.
Which are knights and which are knaves?
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