Algorithm That Processes Numbers

I have a set of numbers within a text file.

2 6
1 4 4 1

When the program reads these numbers it will start with the first line. It reads 2, this is the number of times the program should loop through the numbers of the second line. Next it reads 6, this is the number that the sum of numbers on line 2 cannot go beyond, it must equal 6 or be less than.

Next it goes to line 2 and processes the numbers, 2 is less than 6 so it gets processed, so is 4 and when added to 2 it equals 6. This passes the rules therefore gets processed and added together and put in a variable. Once 2 and 4 has been processed it gets put at the back of the number queue, so the numbers look like 1 1 2 4.

With one loop done there is only one left, so it processes the next sum of numbers 1 1 2 as these equal 4 and pass the rule. So these get added together and and put to the back of the queue, 4 1 1 2. But all the loops are finished and the sum of the last loop is added on to the sum of the previous loop. 6 + 4 = 10.

What I need the algorithm to do is print the sum of this whole process when it reads these numbers from a file. I am able to read the numbers from a text file but not sure where to proceed from there.

Also the set of numbers vary, for example the next 2 lines of numbers could be,

10 7
3 1 1 1 4 4