Boy, I almost don't want to get into this, but if weight is the issue, Esbit beats everything else. Using the BPL folding Esbit burner with oven liner windscreen and base, the rig weighs 0.9 oz. A regular Esbit tablet weighs 14 g or about 0.5 oz and will bring 3 cups of water to a rolling boil under almost any realistic conditions and will do 4 cups most of the time. It takes 0.25 oz to boil 2 cups down to the single digits. Just blow the flame out when the water boils and save it for the next meal. Or use 0.25 oz tabs such as Coghlans.

So using the criteria stated in earlier posts:

Fuel for 12 meals @ 2 cups per meal with 33% reserve for that extra cup of tea = 4 oz.
Fuel container (small z-loc) = 0.1
Burner, windscreen, base = 0.9
Total first day = 5 oz.
Total last day = 1 oz.

If you stretch that to 26 meals, at 0.25 oz fuel per meal and a 33% reserve = 8.7
Fuel container = .1
Burner, windscreen, base = 0.9
Total first day = 9.7
Total last day = 1 oz.

Its really hard to beat that.