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Let A be a sequence of n real numbers, L1 and L2 be two integers such that L1 les L2, and let R1 and R2 be two real numbers such that R1 les R2. An interval of A is feasible if its length is between L1 and L2, and its average is between R1 and R2. In this paper, we study the following problems: finding all feasible intervals of A, counting all feasible intervals of A, finding a maximum cardinality...
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