What does IP mean?


DBA
DEG
ADI
FFD

1ST LETTER SUM: 4+4+1+6 = 15
2ND LETTER SUM: 2+5+4+6 = 17
does not met constraint that sum is at least as large
--------------------------------------------------

DEG
ADI
FFD
FDF

1ST LETTER SUM: 4+1+6+6 = 17
2ND LETTER SUM: 5+4+6+4 = 19
does not met constraint that sum is at least as large
---------------------------------------------------

DBA
FFD
FDF
BAI

1ST LETTER SUM: 4+6+6+2 = 18
2ND LETTER SUM: 2+6+6+1 = 15
This combination is acceptable.
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Do not know what IP means or how implemented.
However, a way to solve:
Get ALL combinations of the 8 words taken 4 at a time
& calculate the sum of the 1st letters & 2nd letters:
if the constraint is not met, discard that set.

Of the sets remaining
determine the sum of the 3rd letter and choose the maximum
value.

most likely integer program