A sample of cold gas in its ground state (\(E_1 = -10.0\text{ eV}\)) is illuminated by continuous light, producing an absorption spectrum with a dark line at wavelength \(\lambda = 177\text{ nm}\). The energy-level diagram for an atom of the gas is shown. An atom absorbs a photon corresponding to this line and subsequently undergoes a two-step cascade decay back to the ground state. What are the energies of the two photons emitted during this decay?