Write a program or a spreadsheet that uses the Cross technique, as described in Section $12\mathrm{.}4$ and illustrated in Example Problem $12\mathrm{.}4,$ to perform the analysis of pipe flow networks. The following optional approaches may be taken:

a$.$ Consider single circuit networks with two branches as an alternative to the program from Assignment $1$ or $2.$

b$.$ Consider networks of two or more circuits similar to those described in Problems $12\mathrm{.}9-12\mathrm{.}12.$