Shokurov's weak epsilon-lc complement conjecture

Let $(X/P i Z,K_X+B)$ be a $d$-dimensional $b4$-lc weak \log Fano pair, with coefficients of $B$ in a DCC set $91b [0,1]$. A complement is an $b5$-lc boundary satisfying the complement index and coefficient inequalities, relative to $P Z$ or in codimension $2$.

Weak $b5$-lc complement conjecture. For every $0<b4$ and $d$, there exist a finite set $a9_{b4,d,91b}$ of positive integers and $0<b5$ such that every such pair is $(b5,n)$-complementary over $P$ (respectively in codimension $2$) for some na9_{b4,d,91b.

This is one of Shokurov's boundedness conjectures for complements and concerns uniform complement indices for weak log Fano pairs.