Puzzle 20: Democracy |

The
presidential elections are to be held in Anchuria. Of 20,000,000 voters
only 1 percent (i.e. the regular army) support the current president Wobushko.
He wants to be re-elected in a

*democratic*way, which means the following. All voters are split into*n*groups, all of equal size. Then each group can be split into_{1}*n*smaller sub-groups of equal size, where_{2}*n*is the same for all groups. Then each subgroup is split into_{2}*n*equal sub-sub-groups, and so on. Each_{3}*(sub)*group chooses by majority rule one representative to represent it at level^{i}-*i*-1, and so on. (If there is a tie, the opposition wins.) Can Wobushko organize the groups and distribute his supporters so that he wins the elections?