If you took two of the most dominant squads in Red Sox history and put them in a 64-team simulation bracket, how would they fare?

We are about to find out via the MLB Dream Bracket 2 Tournament.

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Before enlisting the simulator, the first order of business was to select the two teams that could best represent the Red Sox.

The choices were the 2004 and '18 clubs. It will be interesting to see which team can make a deeper run in the tournament.

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The 2004 team has historical magnitude for two reasons. They became the first squad in history to rally back from a 3-0 deficit in a postseason series, which they did against the Yankees in the American League Championship Series. And then there was also that whole thing about ending an 86-year drought without a World Series title. But the biggest reason they were picked for this tournament is that their roster was stacked with impact players.

As for 2018, that squad was a wire-to-wire juggernaut, notching a franchise-record 108 wins and going 11-3 in the postseason en route to the World Series title.

The Round of 64 will begin Thursday. All 30 franchises selected two top teams. The tournament also includes the 1994 Expos and three Negro Leagues teams.

The 2004 Red Sox will be pitted against the ’08 Rays in a best-of-seven series. This will be a chance for the ’04 club to get some revenge for the ’08 Red Sox, who lost a heartbreaking ALCS Game 7 to the Rays that year.

The 2018 Red Sox go against the ’11 Rangers, a team that came one strike away from winning the World Series. Boston fans know all about that from 1986.

Here is a crash course on both Red Sox entries to get you primed and ready for the start of the tournament.

2004 Red Sox
After a heartbreaking loss to the Yankees in Game 7 of the 2003 ALCS, the veteran-laden Red Sox arrived the next season determined to take the next step.

Helped by a terrific offseason by general manager Theo Epstein, who traded for Curt Schilling, signed Keith Foulke and hired Terry Francona as manager, the Sox were primed and ready to tackle every challenge they would encounter.

David Ortiz (.301/.380/.603) and Manny Ramirez (.308/.397/.613) turned into the best 3-4 punch in the game that season. Johnny Damon had a big year (.304, 20 homers, .857 OPS) in the leadoff spot. Jason Varitek, Kevin Millar, Mark Bellhorn and Bill Mueller had important supporting roles.

Schilling (21-6 record) and Foulke (32 saves, 2.17 ERA) were tremendous in their debut seasons. And in his final season in Boston, Pedro Martinez won 16 games.

2018 Red Sox
After getting bounced in the AL Division Series the previous two seasons, the Red Sox had an edge to them in 2018. They also had a new manager in Alex Cora and a fearsome new slugger in J.D. Martinez.

Mookie Betts went on to win the AL MVP Award with a superb all-around season. He won the batting title with a .346 average and compiled 129 runs, 47 doubles, 32 homers and 30 stolen bases. Martinez was also an MVP candidate and a complete wrecking ball at the plate, hitting .330 with 43 homers and 130 RBIs.

President of baseball operations Dave Dombrowski supplemented his first-place squad with two key acquisitions before the Trade Deadline, getting Steve Pearce from the Blue Jays and Nathan Eovaldi from the Rays. Both players were pivotal in October, with Pearce going on to win World Series MVP.