BOSTON — Josh Doan had a goal and an assist during Buffalo’s four-goal first-period, and Alex Lyon stopped 21 shots to lead the Sabres to a 6-1 victory over the Boston Bruins on Sunday for a 3-1 lead in their first-round playoff series.

Peyton Krebs, Zach Benson and Bowen Byram also scored to help Buffalo open a 4-0 lead against a Boston team that needed a win at home to avoid moving to the brink of elimination. Beck Malenstyn and Alex Tuch scored 84 seconds apart in the third period to make it 6-0 and chase Bruins goalie Jeremy Swayman.

The Sabres, who won the Atlantic Division to end an NHL-record 14-year playoff drought, can finish off the best-of-seven series in Game 5 on Tuesday night in Buffalo for their first playoff series win since 2007.

Krebs scored 4:17 into the game, Doan’s goal came less than three minutes later and Benson followed two minutes after that. When Byram made it 4-0 just 14:24 into the game, it was Buffalo’s second four-goal period of the series; the Sabres rallied from a 2-0 third-period deficit to win 4-3 in Game 1.

The last time the Bruins allowed four goals in the first period of a playoff game, they were facing the Hartford Whalers in the first round of the 1991 postseason. Sean Kuraly scored a short-handed goal in the final minute to avert the Bruins’ first shoutout of the season.

Swayman stopped 23 shots in 46 minutes, 41 seconds for Boston, which returned to the postseason under first-year coach Marco Sturm after a one-year absence. Joonas Korpisalo stopped all six shots he faced the rest of the way.

Buffalo’s power-play woes continued — sort of. After failing to score on their first 13 man advantages in the series — and their last 22 in the regular season — the Sabres’ second goal came just after a Boston penalty expired, but before Viktor Arvidsson had gotten back into play.

But they were officially 0 for 2 on the power play, extending their drought to 15 in the series and 37 overall.

The Sabres will have a chance to eliminate Boston in Buffalo on Tuesday night, with a Game 6 back at the TD Garden on Friday, if necessary.

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