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St Mirren are the early leaders in the William Hill Premiership after beating St Johnstone 1-0 in Paisley thanks to a penalty from Killian Phillips. Dundee defeated Aberdeen 2-0 at Dens Park in the other top-flight match today. There are four games on Sunday starting with the debut of Kilmarnock's new grass pitch as they host Celtic, live on Sky Sports at 1.30pm. Rangers face Hibernian at Ibrox, live on Premier Sports at 4.00pm. In the 3.00pm kick-offs, Motherwell host Falkirk and Hearts take on Dundee United at Tynecastle. Partick Thistle - who beat Livingston last night - have a two-point lead in the William Hill Championship. Ayr United are second following a 1-1 draw away to Dunfermline Athletic and Stenhousemuir are third after beating bottom club Greenock Morton 2-0 at Ochilview. Raith Rovers are in fourth spot after a 2-1 win over Queen's Park at Lesser Hampden while Arbroath and Inverness CT drew 0-0 at Gayfield. Hamilton Accies lead the way in William Hill League 1 after beating Alloa Athletic 1-0 at New Douglas Park while Ross County are second on goal difference thanks to a 2-1 home victory over Montrose. Airdrieonians and East Kilbride drew 1-1 at the Albert Bartlett Stadium while East Fife beat Cove Rangers 2-0 at Bayview. Peterhead’s long journey to Queen of the South was rewarded with a 1-0 success at Palmerston. Elgin City are top of William Hill League 2 after a 1-1 draw with Forfar Athletic at Borough Briggs. Both clubs have four points, as do Spartans, who drew 2-2 with Edinburgh City at Ainslie Park. Dumbarton marked the first game on their new artificial pitch by beating Clyde 1-0 while Kelty Hearts edged out Stirling Albion 3-2 at New Central Park. Annan Athletic claimed a 1-0 win over Stranraer at Stair Park.