Stage: 3 
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 |
Can you find the six digit number N?
If you're finding it difficult to get started, click below to see a
possible order in which you can work out each value (starting with cell
a, then cell b, and so on...)
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