Kolmogorov widths of the class $W_1^1$

We show that $d_n(W^1_1,L_q)\asymp n^{-1/2}\log n$ for $2<q<\infty$. This completes the solution of the problem on orders of decay of the Kolmogorov widths in the classical case of Sobolev classes of integer smoothness on an interval.