At Tynecastle Park, Hearts will play a challenging match against Celtic, and at Ibrox, Rangers will welcome Raith Rovers. If non-league Darvel defeats Falkirk to set up a clash with nearby rivals Ayr United, an Ayrshire derby may potentially result. Hearts hopes to advance to this season's championship game on June 3 after appearing in three of the previous four Scottish Cup finals. They defeated Hamilton Academical 2-0 away from home on Friday night to go to the round of eight. When they were taken out of the bowl with the Premier League champions, they were put with the team that was playing the best. That is without a doubt a draw, and Raith's trip to the Rangers should net them some good money.The Fir Park club fired manager Steven Hammell following the game as a result of the Kirkcaldy team's unexpected victory against Motherwell at the weekend. Inverness Caledonian Thistle eliminated Livingston with a 3-0 victory in West Lothian, producing another unexpected outcome. In the quarterfinals, they were handed a home matchup against Kilmarnock, a team from the Premiership. When Darvel defeated Aberdeen in the fourth round of this season, they pulled off the biggest upset in Scottish Cup history. An enormous upset victory over a side from five tiers above them in the Scottish football pyramid was celebrated by the West of Scotland Premier Division squad. They received another home tie with Falkirk as a result. They will play if they can defeat John McGlynn's League One team once again at home vs Ayr.