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In the grid below, N is a 6 digit number with a very special property: if you double the number and write it in the second row, treble the number and write it in the third row, and so on, you end up with a Latin Square.
A Latin Square is an arrangement of numbers in a square in which each number appears exactly once in each row and column. So, for example, the number represented by ? can't be the same as B or *, and * can't be the same as D, ? or @.
N | A | B | C | D | E | F |
---|---|---|---|---|---|---|
2N | ||||||
3N | ? | * | ||||
4N | ||||||
5N | @ | |||||
6N |
a | m | s | d | ||
h | n | t | e | ||
i | o | w | c | ||
j | p | u | f | ||
k | q | x | b | ||
l | r | v | g |