Rank, select, conditional format

Greetings all. I have an interesting puzzle I am hoping someone can help me with. I have attached an abbreviated version of the chart I use. What I am specifically trying to do is:

1. In each block of 4 numbers, identify the smallest number in column #1 first.
2. That number is then added to the smallest number in column #2 to get the proper result.

RULES:

1. The smallest number which is used in column #1 cannot be added to a number adjacent to it in column #2. The smallest number among the remaining 3 numbers in column #2 must be used.
2. If 2 or more numbers in column #1 are the smallest, use any one that is not adjacent to the smallest number in column #2, so the smallest possible number in column #2 may be used.
3. The goal is to achieve the smallest result.
4. I hope to be able to apply conditional formatting to highlight those cells used to reach the result. I have tried using helper columns/cells, but I get overwhelmed.

I hope this makes sense and my explanation is not terribly confusing. I have always had tremendous luck in the forum. Thanks in advance for any help you can provide.