Patent attributes
Methods, systems, and apparatus, including computer programs encoded on computer storage media, for using tiered arrays to represent aggregated software dependencies. One of the methods includes receiving a request to generate a range of contiguous indexes having non-default values represented by a tiered array having a plurality of tiers, wherein each non-default element of each tier is a reference to a catalog at a lower tier except for a bottom-most tier of the tiered array that stores non-default values, wherein the request specifies a start index. After descending one or more tiers in the tiered array to identify a first index that (i) is greater than or equal to the start index and (ii) has a non-default value, a system ascends one or more tiers in the tiered array and subsequently descends again to identify a second index that is a last index in a contiguous sequence of indexes having non-default values from the first index up to and including the second index.