1.

Let (a_(1), a_(2), a_(3)…, a_(2011)) be a permutation (that is a rearrangement) of the numbers 1,2,3…, 2011.Show that there exist two numbers j,k such that 1 le j lt k le 2011 and |a_(i)-j|= |a_(k)-k|

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ANSWER :520


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