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The Election Conundrum

Bunty is competing this time in an election. He knows that if he can cover the maximum number of the booth out of total $N$ booths during the promotion then he might win the election. But he can only travel in a path of a circular figure whose boundary (the circumference) consists of points equidistant from a fixed point (the centre). He is wondering about the maximum number of unique boot

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solution.cppC++17

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