Quantum Mechanics in one-dimensional space enables us to understand resonances via ordinary differential Schroedinger equation containing a suitable model potential V(r). Authors choose a specific two-parametric piecewise-constant double-barrier V(r) supporting two unbound states with equal energies and half-lives. Numerically they construct the complex energy surfaces in the vicinity of the exceptional point of degeneracy. A change of variables enables them to clarify the changes of identity of the poles of the S-matrix. The crossing and anticrossing of the two energies and of their widths becomes clearly visualized in this manner. MR2252702 Hernández, E.; Jáuregui, A.; Mondragón, A. Non-Hermitian degeneracy of two unbounded states. J. Phys. A 39 (2006), no. 32, 10087--10105. 81U05