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GCD & LCMhard
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A sequence of Euclidean algorithm quotients is: q1=2,q2=3,q1=1,q4=2q_1 = 2, q_2 = 3, q_1 = 1, q_4 = 2q1​=2,q2​=3,q1​=1,q4​=2. Which pair (a,b)(a, b)(a,b) with a>ba > ba>b produces this exact sequence?