text: We also found that for all models except for the origi- 
  nal version of the MFLI model the optical weight at the 
  highest frequencies is greater in the NS than in the SCS 
  (i.e., ∆W < 0). This observation is consistent with the 
  ﬁndings of Abanov and Chubukov32, Benfatto et. al.28, 
  and Karakozov and Maksimov34. 
  In the original ver- 
  sion of the MFLI model30 the spectral weight in SCS 
  was found to be greater than in the NS (∆W > 0). We 
  show that the behavior of ∆W (ωc) in this model cru- 
  cially depends on how the fermionic self-energy modeled 
  to ﬁt ARPES data in a NS is modiﬁed when a system 
  becomes a superconductor and can be of either sign. We 
  also found, however, that ωc at which ∆W becomes neg- 
  ative rapidly increases with the coupling strength and at 
  strong coupling becomes comparable to the bandwidth. 
  In the CB model, which, we believe, is most appropriate 
  for the application to the cuprates, ∆WK = ∆W (∞) is 
  quite small, and at strong coupling a negative ∆W (ωc) 
  up to ωc ∼ 1eV is nearly compensated by the optical 
  integral between ωc and “inﬁnity”, which, in practice, is 