Not Too Tough

Discrete Mathematics Level pending

It is known that the numbers A1,A2,...............An and B1,B2,............Bn are both permutations of 1,1/2,........1/n.In addition,we know that A1+B1>=A2+B2............>=An+Bn.

If Am+Bm<=k/m. find minimum value of k.

(m,n,k belong to Natural set and n>10)

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