ATLANTA — Minus their top three players, the Milwaukee Bucks played a gutsy game Sunday afternoon.

Trae Young and the Atlanta Hawks were just a little bit better.

The rookie star grabbed a deflected inbounds pass and converted a last-second jumper to lift the Hawks to a 136-135 overtime win over the short-handed Bucks.

The Bucks played without All-Stars Giannis Antetokounmpo and Khris Middleton due to injuries. Antetokounmpo, one of the favorites for the NBA MVP award, was held out due to a right ankle sprain. Middleton has a sore groin.

Coach Mike Budenholzer also rested Eric Bledsoe, who is averaging 15.8 points and 5.5 assists.

“I think it was just a great team effort,” said Bucks center Brook Lopez, who had 19 points.

Young missed each of his seven second-half shots from the field and his first two shots in the extra period. Even so, he plotted for a chance to grab what he figured would be a deflection on the final play of the game.

Just as Young expected, Lopez deflected Atlanta’s inbounds pass intended for John Collins near the basket. Young grabbed the ball with his left hand and sank the short winning shot.

A video review confirmed Young got the shot off before the buzzer. The young guard finished with 12 points and 16 assists.

“I knew it was probably going to get tipped because Lopez was right there and I knew he was going to try to tip it out,” Young said.

Lopez credited Young for spoiling his attempt to deflect the ball away from the basket.

“I just tried to bat it away,” Lopez said. “The kid made a good play.”

Milwaukee is three games ahead of idle Toronto in the race for the top spot in the Eastern Conference. The team’s magic number is two for securing home-court advantage throughout the playoffs.

Sterling Brown scored a career-high 27 points for Milwaukee, including a go-ahead layup with 1.1 seconds remaining in overtime.

Young said his string of second-half misses didn’t affect his confidence.

“I know I didn’t play well as far as shooting, but for me it’s all about the next shot,” he said.

Justin Anderson set season highs with 24 points and 12 rebounds for Atlanta. Collins finished with 23 points and 12 boards. Alex Len also scored 23 points.

Milwaukee led by as many as 23 points during a high-scoring first quarter. Atlanta recovered to lead in the third quarter and rallied again after trailing by 10 points midway through the fourth period.

Len’s jam cut the Bucks’ lead to 133-132 with 33 seconds remaining in overtime. Following Brown’s missed jumper, Young’s baseline floater with 6.6 seconds left gave Atlanta a 134-133 lead.

Budenholzer said “there’s a good chance” Antetokounmpo could return on the team’s road trip, which continues with games at Brooklyn tonight and Philadelphia on Thursday. He aggravated the ankle injury in the fourth quarter of the Bucks’ 128-118 win over the Los Angeles Clippers on Thursday night.

In the paint

Tim Frazier had 20 points and 15 assists. He is Milwaukee’s first player with at least 20 points and 15 assists since Monta Ellis in 2013. ... Antetokounmpo has missed two games since spraining his ankle on March 17 against Philadelphia. ... Bucks forwards D.J. Wilson and Bonzie Colson each made their first career starts. ... Hawks guard Vince Carter moved into fifth place in NBA history with 1,477 games played, passing Karl Malone. ... With 42 points in the second quarter, the Hawks set an Atlanta record with 14 quarters with at least 40 points, passing their 13 in the 1968-69 season. ... Len, who sank a tying 3-pointer with 19 seconds remaining in regulation, started at center after the Hawks announced Dewayne Dedmon will miss the remainder of the season with a left ankle injury. ... The Bucks try to complete a three-game sweep of their season series with Brooklyn when they visit the Nets on Monday.

Milwaukee 43 28 26 25 13 — 135

Atlanta 26 42 30 24 14 — 136

MILWAUKEE — Colson 5-18 4-4 15, Wilson 4-11 2-2 12, Lopez 5-12 6-6 19, Frazier 8-17 2-2 20, Brown 10-22 2-2 27, Ilyasova 3-7 0-0 7, Hill 7-15 2-2 18, Connaughton 6-14 4-5 17. Totals 48-116 22-23 135.

ATLANTA — Anderson 9-16 2-4 24, Collins 9-14 2-5 23, Len 10-15 0-0 23, Young 5-19 0-0 12, Huerter 3-9 0-0 9, Bembry 5-10 4-6 16, Davis 3-6 0-0 6, Bazemore 2-11 0-0 6, Adams 3-7 0-0 8, Carter 3-11 2-2 9. Totals 52-118 10-17 136.

3-point goals — M 17-55 (Brown 5-10, Lopez 3-8, Wilson 2-4, Hill 2-7, Frazier 2-7, Ilyasova 1-3, Connaughton 1-7, Colson 1-9), A 22-61 (Anderson 4-8, Collins 3-5, Huerter 3-6, Len 3-6, Bazemore 2-6, Adams 2-6, Bembry 2-6, Young 2-9, Carter 1-8, Davis 0-1). Rebounds — M 71 (Colson 16), A 58 (Collins, Anderson 12). Assists — M 30 (Frazier 15), A 36 (Young 16). Total fouls — M 20, A 13. Technicals — Young. Att. — 16,660.

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