Methods for selecting a binding-element are provided. The method comprised of different steps. A first mixture is formed using at least one target molecule and a plurality of oligomers, followed by incubating the first mixture to form a second mixture comprising at least one target-bound oligomer and at least one target-unbound oligomer. Then a first accelerator is added to cleave the target-unbound oligomer and the target-bound oligomer is separated from the target molecule. This is followed by addition of a second accelerator for ligation, and a third accelerator for amplification followed by sequencing and post sequence analysis to select the binding-element.