Once the pirate team had divided their loot peacefully, their group grew to a total of . However, they needed a secure way to protect their hard-earned treasure. They decided to put all their loot in a safe, but being a democratic group, they agreed that the safe should only be opened by a majority of them: any group of or more pirates must be able to open it, but no group of or fewer pirates may be able to. For this reason, they hired a locksmith to put locks on the safe. To access the treasure, all locks must be opened, and each lock has its own key type that opens only that lock. The locksmith can cut several copies of each key and give multiple keys to each pirate.
What is the minimum number of locks needed, and how many keys must each pirate then carry? Enter the number of keys each pirate carries.