A programmable integrated circuit (see FIG. 18) includes a plurality of interface cells with programmable antifuses disposed on a branch of a routing conductor. The routing conductor extends in a first direction and is coupled to one terminal of a programming transistor. The other terminal of the programming transistor is coupled to a programming driver via a programming conductor that extends in the first direction. The branch of the routing conductor crosses a plurality of routing wire segments of one of the interface cells, where programmable antifuses are disposed to couple the branch of the routing conductor to one or more of the routing wire segments. The routing wire segments extend parallel to one another in the first direction and are each coupled to a first terminal of separate programming transistors. The second terminals of the programming transistors are coupled to programming drivers via programming conductors that extend in a second direction, which is perpendicular to the first direction. Thus, the programming drivers for the routing wire segments and the routing conductor are positioned in different locations. Accordingly, when an antifuse is programming to couple the branch of the routing conductor with one of the routing wire segments, the two programming drivers are controlled by two different programming control shift registers.