Stuttgart was relegated on the final day of the Bundesliga by losing at Wolfsburg 3-1, while Werder Bremen clinched survival with a late 1-0 win over Eintracht Frankfurt on Saturday.
Papy Djilobodji prodded the ball over after a goalmouth scramble in the 88th minute for Bremen to overtake Frankfurt, which faces a two-leg playoff against Nuremberg, third in the second division, to determine which side plays top-tier football next season.
Stuttgart, which finished three points below Frankfurt, joined already-relegated Hannover in the second tier.
Bayern Munich kicked off its title celebrations with a 3-1 win over Hannover.
Second-place Borussia Dortmund drew with Cologne 2-2 to stay unbeaten at home all season.
Also, Schalke won at Hoffenheim 4-1 to move to fifth, overtaking Mainz and Hertha Berlin after their goalless draw.
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