Seeded teams
1 Celtic
2 Motherwell
3 Aberdeen
4 Dundee United
5 Inverness Caledonian Thistle or Rangers
6 St Johnstone
7 Ross County
8 St Mirren
Unseeded teams
9 Kilmarnock
10 Partick Thistle
11 Hibernian
12 Heart of Midlothian
13 Dundee
14 Hamilton Academical
15 Falkirk
16 Livingston
So turns out we can't get them.
I'm missing the first Accies game, so wouldn't mind a wee game against them.