Editing Glove problem (section)

==Other factors==
The statement of the problem does not make it clear that the principle of contagion applies, i.e. if the inside of one glove has been touched by the outside of another that previously touched some person, then that inside also counts as touched by that person.

Also, [[medical glove]]s are reversible; therefore a better solution exists, which uses

: <math>\min\left(\lceil M/2\rceil+N, M+\lceil N/2\rceil\right) </math>

gloves where the less numerous group are equipped with a glove each, the more numerous in pairs.  The first of each pair use a clean interface, the second reverse the glove.{{Original research inline|section|date=May 2012}}