Sherlock Holmes, the well known detective, must solve a puzzling situation. He has n boxes B1, B2, .., Bn , where n is even, each containing m balls. The balls are white and black. Let Bi = (Wi, Bi) denote a box with Wi white balls and Bi black balls. He must partition the boxes into two sets, each consisting of n/2 boxes, such that either the white balls or the black balls hold amajority in both sets. If there is such a majority, let m1 and m2 denote the percentage of the majority balls in each set. Holmes must find very quickly the maximum possible value of min(m1, m2). Can you help Holmes?