Question

Rose is a professor of music at the University of Melody. She has organized a group singing competition for the students of her class. Rose decides the initial size of the groups. The competition is organized in such a way that all the groups will be singing on stage together at the same time. The music department has some mics to distribute among the groups. Each group will be allotted exactly one mic. In case they end up with surplus mics, Rose will split the groups in such a way as to minimize the number of students sharing a single mic. Each initial group can only be split into two. However the new groups that are formed can be split further if necessary. Rose wishes to find the number of students in the largest group that is sharing a mic after the regrouping process.​

Answer 1

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