MHB Can someone help me in the right direction with this proof

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A square table of size 1001x1001 is filled with the numbers 1; 2; 3; ... ; 1001 in such a way that in every row
and every column all those numbers appear. If the table is symmetric with respect to one of its diagonals,
prove that in this diagonal all of the numbers 1; 2; 3; ... ; 1001 appear.
 
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