On planet Immortal, everyone lives forever but essential resources (including food and supplies) on the planet are limited. Ultimatopian raiding swords are the most effective weapon available to loot nearby planets.
Ultimatopian raiding swords are created from a limited supply of ultimatopium. For every 17 swords recycled one more can be created. Each sword can be used in battle once and exactly once but can always be recycled again at the same 17/1 ratio.
To maximize the utility of planetary resources, the planet requires immortal citizens to recycle diligently. The penalty for failure to recycle a ultimatopian sword after battle is a mandatory 10 years imprisonment for each ultimatopian sword that can never be created as a result of the failure to recycle (assuming perfect recycling compliance from every other soldier).
All known ultimatopium has now been exhausted and the only remaining Ultimatopian swords totaling 83,521 have just returned from battle to the sword recycling center.
- 1 sword is destroyed by immortal citizen soldier Guilt after a later battle in protest for an innocent mortal citizen who was carelessly killed on Planet Weakling during a raid.
- No other immortal citizen soldiers are ever imprisoned because all other available swords are turned in for recycling.
- What is the maximum imprisonment immortal citizen soldier Guilt could receive?
- What is the minimum imprisonment immortal citizen soldier Guilt could receive?