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 = A
^{E} + B^{E} + C^{E} + D^{E} + E^{E} + F^{E} + G^{E} + F^{E},
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.)