DominionStrategy Wiki
cards in supply: Cartographer, Duke, Feast, Fortune Teller, Lookout, Navigator, Oracle, Remodel, Smugglers, and Talisman#1 qmech: 36 points (4 Dukes, 4 Duchies, and 8 Estates); 20 turns opening: Copper / Duchy [35 cards] 4 Dukes, 2 Smugglers, 1 Feast, 1 Fortune Teller, 12 Coppers, 3 Silvers, 8 Estates, 4 Duchies#1 paddyodoors: 36 points (3 Dukes, 4 Duchies, a Province, and 6 Estates); 20 turns opening: nothing / Cartographer [29 cards] 3 Dukes, 2 Cartographers, 1 Fortune Teller, 7 Coppers, 4 Silvers, 1 Gold, 6 Estates, 4 Duchies, 1 Province
Duchy can't actually be the right opening. You're going to see that card enough times that something else has to be better. Smugglers only has to gain one Duchy/Duke to break even.