Shokurov's exceptional-index conjecture for complements

For each dimension $d$, let $N_d$ denote the bounded set of complement indices in the complements conjecture, and define the exceptional indices by $EN_d=N_2\setminus N_{d-1}$. Let $RN_d$ denote the regular part of $N_d$. Shokurov's exceptional-index conjecture. One should have $RN_d=N_{d-1}$; equivalently, $EN_d$ should consist precisely of the indices corresponding to exceptions. The source gives evidence from the proof method of the Main Theorem and identifies the need for additional multiplicity conditions, such as (SM) or suitable versions of (M).