Boston Celtics captain Paul Pierce scored 41 points, hit two clinching free throws with 7.9 seconds left and led the team with the NBA's best regular season record to a 97-92 victory over the Cleveland Cavaliers on Sunday in Game 7 for a spot in the Eastern Conference finals. That round begins Tuesday night against the Detroit Pistons in the same arena where the Celtics have won 14 straight games and are 8-0 in the postseason. Home teams are 22-2 in the second round of this season's playoffs. But the Celtics are 0-6 on the road in the postseason after Friday night's 74-69 loss in Cleveland. On Sunday, they never trailed but they never were safe until the final seconds. That's because LeBron James scored 45 points to help keep Boston's lead between one and seven points in the fourth quarter. Sasha Pavlovic's 3-pointer made it 95-92 with 8.6 seconds left and the Cavaliers immediately fouled Pierce. His first shot hit the rim, hung in the air, then fell through as the crowd roared. His second free throw was much smoother, making it 97-92. Cleveland raced downcourt and James hoisted a 3-pointer that missed with 4.4 seconds to go. The Cavaliers got the rebound and James waved for the ball from the same spot he had just missed from. But Boston's Eddie House intercepted the pass and, as the final seconds ticked off, James turned and walked toward his bench, his chances of reaching the East finals dashed on the court where the Cavaliers were 0-6 this season. Still, the Celtics were pushed to the limit for the second straight series. They did dominate Atlanta in Game 7, winning 99-65, but had a much tougher time eliminating Cleveland. NBA Draft lottery Two seasons after winning the NBA title, the Miami Heat are NBA doormats and will have the best odds of winning Tuesday's lottery for the top pick in June's NBA Draft. A key step in the process could come Tuesday when the Heat have 250 of 1,000 ping pong balls in a giant bin, giving them a one-in-four chance of claiming the top choice of unclaimed talent thanks to a league-worst 15-67 record. – AP __