262let k be a natural no. where k≤2012
{k20122013} = {k- k/2013} = 1-k/2013
{k20142013} = {k+k/2013} = k/2013
hence {k20122013} + {k20142013} = 1
hence summing up,
A+B =2012
\hspace{-16}$If $\mathbf{A=\left\{\frac{2012}{2013}\right\}+\left\{2.\frac{2012}{2013}\right\}+............+\left\{2012.\frac{2012}{2013}\right\}}$\\\\\\\\ and $\mathbf{B=\left\{\frac{2014}{2013}\right\}+\left\{2.\frac{2014}{2013}\right\}+............+\left\{2012.\frac{2014}{2013}\right\}}$\\\\\\ Then Relation b/w $\mathbf{A}$ and $\mathbf{B}$
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