Suppose we have 0, 1, a, b in the bag, with 0 < 1 < a < b and with b – a < 1 then this gives the same as –b, -a, -1, 0 which gives the same as 0, b - a, b - 1, b which gives the same as 0, 1, (b -1)/(b - a), b/(b - a) Now b/(b - a) - (b -1)/(b - a) = 1/(b - a) > 1
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