Egyption Fractions

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A fraction a/b is called in its lowest form if gcd(a, b) = 1. It is possible to express a/b using the sum of a finite number of reciprocals of natural numbers. For example, 2/7 can be written as 1/4 + 1/28. Such a representation is called an Egyptian fraction representation of a/b. For each fraction, there could be multiple Egyptian fraction representations. Let two sets of reciprocals be (p1, p2

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