Me: Five kids in the house = combinatoric explosion. No wonder interactive fiction authors avoid NPCs.
Glen: I just recently did that problem. Complexity scales as the number of pair interactions, plus a linear term in the number of children. Therefore two kids is three times as complicated as one; three is six times; four is ten times. I think the general formula is 1 + 2 + … + N for N kids.
Oh, and good luck. Having that many rugrats running around is pretty complicated!
Jeff: But aren’t some kids more complicated than others?
Glen: In a word, no. The proof is left as an exercise for the reader.
For bonus points, should this series have higher-order terms? Why or why not?