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0. Let n = 4 and (a1, a2, a3, a4) = (do, if, int, while).Let p(1 : 4) = (3 / 8, 3 / 8, 1 /8, 1 / 8) and Let q(1 : 4) = (2 / 8, 3 / 8, 1 / 8, 1 / 8, 1 / 8) where p(i) and q(i) denotes the probability with which we search a and the identifier x being searched satisfy ai < x < ai+1 respectively. The optimal search tree is given by (1) (2) (3) (4)
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(2) 
(3) 
(4) 
