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A spy lives in a city of n = 2 ^ k , k > = 0 , residents. All residents, including the spy ,
A spy lives in a city of nk k residents. All residents, including the spy do not lie.
Your task is to find the spy by asking the residents the question: Is there a spy among you?".
If you are asking the question to a group of more than one person, you will get one answer not multiple answers.
a Design a decrease and conquer algorithm to find the spy as quickly as possible.
b What is the basic operation of your algorithm?
c Show and simplify an expression for the number of times the basic operation is performed in the worst case. Show the steps in your answer.
d What variation of decrease and conquer is your algorithm? If it is not variable decrease, indicate the constant or the constant factor.
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