Substitute each of the capital letters by a different base ten digit from 0 to 8 to satisfy each of the following cryptarithmetic relationships.
- ABCDEFGF = AE + BE + CE + DE + EE + FE + GE + FE,
where each of A and E is nonzero, and:
- ABCDEFGF does not contain the digit 1, and:
- Reading from left to right, odd digits appear in descending order of magnitude, but the nonzero even digits appear in ascending order of magnitude, in ABCDEFGF.
ABCDEFGF = 24,678,050 = 2^8 + 4^8 + 6^8 + 7^8 + 8^8 + 5^8
(I don't think the 3rd criterion is necessary, about the odd & even digits, because the above solution was the only one I found anyway.)