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Not as much debate here. The Saints only need to win once to clinch a playoff berth, and twice to earn the No. 5 seed.
They're capable of beating the Falcons next week and should definitely dispatch the Buccaneers, a team they already pounded 31-6, in the final week.
If the Saints lose one of those and the Giants win both to make each team 11-5, then the tiebreaker would be conference record. Both teams would be 9-3, however, so the next tiebreaker down the line is winning percentage against common opponents.
Both teams have played Carolina, Seattle, Dallas and Minnesota, and both teams have a 4-0 record against them. The next tiebreaker would be strength of victory, a stat that the Giants currently hold the advantage in. But that could change depending on how the final two weeks play out.
In other words, it's nearly unpredictable. But because I can, I'm going to predict the Saints upset the Falcons on Monday night and then finish strong against Tampa Bay. So it won't matter what the Giants do.