LAHAINA, Hawaii — Landers Nolley peeled off a screen and, without hesitation, let a 3-pointer fly from the wing. The ball dropped, giving Virginia Tech the cushion it needed to hold off No. 3 Michigan State.

One big shot, one massive victory for the Hokies.

Nolley hit that crucial 3-pointer in the final minute and scored 22 points, helping Virginia Tech outlast the Spartans 71-66 at the Maui Invitational on Monday.

“They believed in me,” Nolley said. “And I hit the shot.”

Virginia Tech (6-0) had low expectations — at least outside the program — in coach Mike Young’s first season in Blacksburg, picked to finish 14th in the ACC preseason poll.

The win puts the Hokies into the semifinals in prime time, where they will take on Dayton (4-0) — an 80-61 winner over Georgia. The game will tip off at 8 p.m. and will be televised on ESPN.

The Hokies grinded through a back-and-forth second half before going up 10 with 4 ½ minutes left. Michigan State fought back to pull within one, but Nolley responded with a 3 for a 68-64 lead with 47 seconds left.

Virginia Tech made just enough free throws down the stretch to earn a spot in Tuesday’s semifinal against Dayton.

“That’s a really good player making a big-league play,” Young said. “It probably went a long way in getting us out of here with a win.”

Michigan State (3-2) trailed 32-28 at halftime after preseason All-American Cassius Winston was limited to eight minutes due to foul trouble.

Winston helped sparked a late run, but the Spartans couldn’t finish it off. Aaron Henry led Michigan State with 18 points and Winston was held to seven on 2-of-8 shooting.

Michigan State has had a rough start to the season. The preseason AP No. 1, the Spartans lost starting guard Joshua Langford to a foot injury before the first game, and a week later, Winston’s brother, Zachary, was hit and killed by a train.

“He was a shell of himself today,” Michigan State coach Tom Izzo said of Winston. “I think it’s been a lot on him. I couldn’t have gone through what that kid has gone through, no way. He just looked tired the whole time, I think because of the mental stress he’s going through.”

Michigan State lost its opening game to No. 9 Kentucky, but bounced back with three straight wins, including a hard-fought victory at No. 13 Seton Hall.

Virginia Tech started the season 5-0 for the second straight season — a first since 1981-82 — but is doing it with a revamped roster under Young.

The new-look Hokies made a school-record 21 3-pointers against Delaware State in their previous game but had to play a more grinding style against the gritty Spartans.

“Pace was the only chance we had — the only chance we had,” Young said. “If the thing’s in the 80s, they would blow our doors off. [There was] good pace for us, and I thought we went a long way in dictating that and not allowing them to move so fast in transition where they’re elite. I mean, they are really, really good.

“So hat’s off to my boys.”

Taking advantage of Winston’s foul trouble, Virginia Tech scored 12 points off 11 turnovers before halftime.

“It’s difficult to sit that long,” Winston said. “I’ve got to be smarter than that, make better decisions for my team.”

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