/usr/share/qt3/lib/libqui.so.1.0 is in libqt3-mt 3:3.3.8-b-8ubuntu3.
This file is owned by root:root, with mode 0o777.
It is a symlink to /usr/share/qt3/lib/../../../lib/libqui.so.1.0.0
/usr/share/qt3/lib/../../../lib/libqui.so.1.0.0