Boston had more points from the line (32) than from the field early in the fourth quarter when it pulled within 67-62.

“We didn’t play well, but we hung in there by getting to the foul line,” Rivers said. “Then, we just couldn’t make plays.”

Billups essentially sealed the win with a 3-pointer with just under 3 minutes left, making some forget the offensive struggles he had much of the game on his sore right hamstring.

Detroit improved to 5-0 in games following losses in the playoffs.

“No one likes it, the way our team personality is,” said Saunders, referring to the Pistons’ penchant to play their best when down or doubted.

The Celtics fell to 1-7 on the road and 0-6 when trailing after three quarters.

Boston reserve James Posey scored 11 points and Kendrick Perkins, who fouled out, had 10.

The Pistons attacked Boston at both ends of the court as they got off to a strong start.

They led 10-0 thanks to McDyess’ eight points and swarming defense that led to Boston missing its first four shots and later having more turnovers (3) than points (2).

“We put a lot of emphasis on the start because that team is so good when they get on top,” Billups said. “We didn’t want to let them do that again.”

Notes: McDyess’ previous high in points this postseason was 17 and his high in rebounds was 14. ... While playing for Phoenix against San Antonio in the 1998 playoffs, McDyess had a career-playoff high 26 points in one game, 19 rebounds in another and four blocks in yet another game against the Spurs. ... Hamilton played in his 114th postseason game, breaking Bill Laimbeer’s team record. ... Allen learned how to sign “NBA Basketball is Fantastic” in American Sign Language before the game as teammate P.J. Brown ate a PBJ sandwich.

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