Michigan, the Big Ten's worst 3-point shooting team, went 7-for-14 from behind the arc and used that confusing, smothering 1-3-1 zone defense to send the Gophers (5-6, 14-9) to a costly defeat.
Harris added seven assists for the Wolverines (5-7, 12-12), who committed only eight turnovers.
Blake Hoffarber had 16 points and Paul Carter added 11 points off the bench for Minnesota, which briefly tried its own zone defense but had no answer for the sleek Harris and the overpowering Sims. Missing ineligible point guard Al Nolen, the Gophers haven't been able to press effectively or generate much energy on defense.
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Maryland point guard Melo Trimble, considered a lock to leave the program before struggling in the second half last season, has withdrawn from the NBA draft and will return for his junior season.
Louisville's Chinanu Onuaku, who recently underwent a medical procedure to correct a heart rhythm issue detected during the combine, will keep his name in the NBA draft pool.
Andrew White III will return to the Nebraska men's basketball team next season after removing his name from the NBA draft.