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Solve the following recurrence and find the correct asymptotic bound in terms of k:
T(5k) = 25⋅T(5k−3)+k3⋅5k
T[k]=Θ(52k)
T[k]=O(k⋅5k)
T[k]=Θ(k2⋅5k)
T[k]=Θ(k3⋅5k)
T[k]=O(5k)
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