Problem 6

Each of the letters A, B, E, H, M, O, Q, S, T, X represents exactly one of the digits 0, 1, 2, 3, 4, 5, 6, 7, 8, 9. The information below summarises relationships between these digits (note that `O' in the diagrams below is the letter O not the digit 0). There are exactly two possibilities for the number corresponding to `MATHSBOMBE' that are consistent with the information below. Enter the largest of the two solutions below. (For example, if you think that M=9, A=8, T=7, H=6, S=5, B=4, O=3, E=2 gives the highest value then you should enter 9876543942.)

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