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A reversible reaction r2 decomposed into p2 and q2. The r1 is decomposed in N1, and p2 is decomposed in N1 and N2 so that there is no directed cycle in the resulting networks. Additionally, s1(0) = 1 since the detected cycle in (A) includes an irreversible reaction. However, s2(0) = 0 since the detected cycle in (A) does not include an irreversible reaction.
