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 2N 3N 4N 5N 6N A B C D E F ? * @

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...)

 a m s d h n t e i o w c j p u f k q x b l r v g