Magic rectangles --- Introduction ---

A magic square is a table of n rows and n columns, filled by numbers 1, 2, ..., n2, such that the sums of each row and each column are equal.

Magic rectangles is a variation of this principle: you are before a table of rows and colomns, with a given number at the side of each row and each column. Your goal is to fill this table using the numbers par les nombres 1,2,...,lignes×colonnes, so that the of each row and each column equals the corresponding given number. And of course no number can be used twice.

And you should solve each problem within minutes.

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