Y by laegolas, Tumon2001, Adventure10, Mango247
General Tilly and the Duke of Wallenstein play "Divide and rule!" (Divide et impera!).
To this end, they arrange
tin soldiers in
companies and command them by turns.
Both of them must give a command and execute it in their turn.
Only two commands are possible: The command "Divide!" chooses one company and divides it into two companies, where the commander is free to choose their size, the only condition being that both companies must contain at least one tin soldier.
On the other hand, the command "Rule!" removes exactly one tin soldier from each company.
The game is lost if in your turn you can't give a command without losing a company. Wallenstein starts to command.
a) Can he force Tilly to lose if they start with
companies of
tin soldiers each?
b) Who loses if they start with
companies consisting of
tin soldiers?
To this end, they arrange


Both of them must give a command and execute it in their turn.
Only two commands are possible: The command "Divide!" chooses one company and divides it into two companies, where the commander is free to choose their size, the only condition being that both companies must contain at least one tin soldier.
On the other hand, the command "Rule!" removes exactly one tin soldier from each company.
The game is lost if in your turn you can't give a command without losing a company. Wallenstein starts to command.
a) Can he force Tilly to lose if they start with


b) Who loses if they start with


