Latin Square Puzzle

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F

Clues:   A56 = 6           AB6 = 8           B12 = 9           BCD4 = 12      C23 = 8

            D12 = 7           DEF1 = 10       DEF5 = 8         F34 = 8

In a 6x6 Latin Square, you are to fill a square grid with numbers from 1 to 6 so that each row and column contains one of each number (i.e., no repetitions in a row or in a column.)  The clues give you the sum of some two or three in a row.  Use labels A-F across the bottom, 1-6 up the side.  For example, if ABC3 = 9 were a clue, that would mean that A3 + B3 + C3 adds up to 9.

Source: Internet newsgroup rec.puzzles, 1994.  Originally titled as a "Latino Puzzle".

Solution Solutions were received from Kevin Haborak, Juan Carlos Carrara, Kirk Bresniker, John Tuttle, Dan Chirica, Philippe Fondanaiche, Raśl Mora Pastor, Denis Borris, and Luiz F. J. Maia.

There is only one solution:

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