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Certain country in the Caribbean Sea recently held an election to choose its president. Every vote cast was electronic, but unfortunately, a recent power

 

Certain country in the Caribbean Sea recently held an election to choose its president. Every vote cast was electronic, but unfortunately, a recent power surge caused a malfunction in the system just before votes were counted. The only information saved consists of the following facts: All the N citizens casted their vote. Exactly one candidate received more than N/2 votes. We don't know how many candidates there were. You are hired to help using your expertise in algorithms. But you can only work with the local resources. As a result, you have access to a function Agree (X, Y) which returns True if X and Y cast a vote for the same candidate, and returns False otherwise. You are not told the identity of the candidate! Design a Divide and Conquer algorithm that finds a single ballot that voted for the winning candidate. You may assume that every call of Agree (X, Y) runs in constant time.

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