  This is a first instalment of much larger work about relations between
birational geometry and moduli of triples. The extraction of work is mainly
related to Theorem 6. It is a weak version of Kawamata's Conjecture 1 and an
important technical step toward semiampleness of moduli part of adjunction. To
prove Theorem 6, we use relative analogues of b-representations. The proof here
is rather complete except for b-mobile property used in Corollary 1.
