Purdue blows 19-point lead, then holds off Iowa State.

MILWAUKEE — Caleb Swanigan totaled 20 points, 12 rebounds and seven assists, and Purdue reached the Sweet 16 for the first time in seven years with an 80-76 victory over Iowa State on Saturday.

The Cyclones erased a 19-point deficit in the second half, taking their first lead on Deonte Burton’s two free throws with 3:11 left. But P.J. Thompson responded with a 3-pointer for the Boilermakers, and Swanigan made several huge plays in the final minutes.

After Dakota Mathias missed the front end of a one-and-one with 11 seconds left and Purdue clinging to a 78-76 lead, Swanigan tracked down the rebound to set up Thompson’s free throws with seven seconds remaining. Monte Morris missed a 3 on the other end, and time ran out for Iowa State.

Vince Edwards had 21 points and 10 rebounds for No. 4 seed Purdue (27-7). Reserve Isaac Haas scored 14, helping the Boilermakers to a 23-5 advantage in bench points.

Fifth-seeded Iowa State (24-11) had won 10 of 11, moving to the brink of its third appearance in the Sweet 16 in four years.

Burton scored 17 of his 25 points in the second half, putting on a show in his hometown of Milwaukee. Matt Thomas, another Wisconsin native, had 20 points on 9-of-11 shooting, and Morris finished with 18 points and nine assists in the final game of his standout career.

Swanigan helped Purdue pull away at the start of the second half, showing off his well-rounded game. He found Mathias and Edwards for layups on backdoor cuts in the first minute. He made a 3-pointer, and Edwards got loose for a dunk as the Boilermakers grabbed a 58-39 lead with 14:23 left.

Purdue shot 48.4 percent (31 for 64) and had a 38-28 rebounding advantage. The Cyclones shot 50 percent, but Naz Mitrou-Long scored only five points after averaging 15.4 this season.

NEXT: Purdue vs. No. 1-seeded Kansas or No. 9 Michigan State, Thursday, Kansas City, Missouri.

MORRY GASH/THE ASSOCIATED PRESS Purdue’s Caleb Swanigan, left, drives against Iowa State’s Solomon Young during the first half of a second-round NCAA Tournament game Saturday in Milwaukee. Swanigan finished with 20 points, 12 rebounds and seven assists as the Boilermakers won 80-76...