4. Find all pairs $(a, b)$ for which the set of solutions to the inequality $\log _{2014}(2 x+a)>x^{2}-2 x-b \quad$ coincides with the interval $(1 ; 2)$.
4. $a=-\frac{4024}{2013}, b=\log _{2014}\left(\frac{2013}{4028}\right)$.