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Full understanding of dynamics of strong interactions requires a calculation of physical quantities at intermediate energies, where neither QCD nor low-energy phenomenological models work. Merging the infrared and ultraviolet limits, even when possible, normally requires introducing and tuning of additional parameters. We present the successful infrared model which automatically reproduces the ultraviolet QCD asymptotics (both its functional form and numerical coefficient) for the pion electromagnetic form factor. To our best knowledge, it is a unique model of this kind.