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41) one question like. (209*144)^2 + (209*209)+(209*144)+(144*144) = ?

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The number 6,12,21,22,27,34 are placed in the boxes a,b,c,d,e,f shows below in a certain order such that the sum of the entries in each of the extreme rows and each of th extreme columns(i.e, top,bottom row,left most column and right most column) are the same number k.what is the value of k? 13*2+1 (27), 27*2+1(55), ?=55*2+1=111 .For this numbers may be changed but the logic is same.