Let n≥2n\ge 2n≥2 independent arms have distributions Xi∼N(μi,1)X_i\sim\mathcal{N}(\mu_i,1)Xi∼N(μi,1), with μi∈[0,1]\mu_i\in[0,1]μi∈[0,1] and a unique optimal arm ∗*∗. Write Δi=μ∗−μi\Delta_i=\mu_*-\mu_iΔi=μ∗−μi for i≠∗i\ne *i=∗,…