In a study of the conversion electrons emitted in a decay process, the following electron energies were measure (in kev): 207.4, 204.64, 193.36, 157.57, 154.81, 143.53, 125.10, 75.27, 49.03, 46.27, 34.99. the electron binding energies are known to be: 83.10 kev (k shell), 14.84 kev (l shell), 3.56 kev (m shell), and 0.80 kev (n shell). what is the minimum number of gamma-rays that can produce the observed electron groups, and what are the gamma-ray energies?