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I'm trying to work out a good algorithm to code a calculation I need to do. I can see brute force ways of handling the problem, but I keep getting bogged down in details, and the question seems like it's something that should have been solved plenty of times in the past, I just don't know where to look. The basic problem is that I'm trying to model a set of recipes, and calculate the amounts of base ingredients needed to produce what I require. This is actually for calculating production requirements in Minecraft, so I have recipes of the form: 1 tank = 4 bars, 4 iron, 1 glass 16 bars = 6 iron 1 chassis = 4 bars, 4 iron, 1 capacitor 1 alloy smelter = 1 chassis, 1 cauldron, 3 furnace, 4 iron 1 cauldron = 7 iron If I want to make 1 alloy smelter and 2 tanks, I need: (alloy smelter) 1 chassis 4 bars 4 iron 1 capacitor 1 cauldron 7 iron 3 furnace 4 iron (tanks) 8 bars 8 iron 2 glass Total iron (for example) = 23, plus 6 (enough for 12 bars - note that we have to make bars in batches of 16) = 29. I can model the recipes as basically a graph (a DAG). Calculating the amounts isn't too hard if we ignore the batch crafting aspect, but I also need to cater for the possibility of "I need 3 of X and 4 of Y, but I need 2 extra X to craft each Y, so I need a total of 11 X). So there's an element of feedback involved as well. I can probably come up with a viable approach given some time, but this feels like the sort of calculation that comes up a lot (basically any "recipe" based exercise - cooking, manufacturing, etc) and I feel as if I'm at risk of reinventing the wheel, which I could avoid if I only knew what the techniques I need are called. Can anyone suggest any pointers? Thanks, Paul

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