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Using two-dimensional time dependent viscoresistive magnetohydrodynamic simulations, we report for the first time the existence of fast stationary magnetic reconnection with a spatially uniform plasma resistivity. This is achieved through the use of a nonuniform well tailored viscosity profile, following requirements deduced by Baty [Phys. Plasmas 16, 012102 (2009)]. The quasisteady state exhibits the global features of a classical Petschek solution, with two pairs of standing slow-mode shocks attached to a central diffusion region and a fast-mode expansion of the inflowing plasma. The diffusion region is however influenced by the viscosity with a two-component structure, and the reconnection rate is observed to be slightly higher than nonviscous nonuniform resistive reconnection.