Adam is so good at playing arcade games that he will win every game he plays. One fine day as he was
walking on the street, he discovers an arcade store that pays real cash for every game that the player
wins - however, the store will only pay out once per game. The store has 10 games for which they will
pay winners, and each game has its own completion time and payout rate. Thrilled at the prospect of
earning money for his talent, Adam walked into the store only to realize that the store closes in 2 hours
(exactly 120 minutes). Knowing that he cannot play all the games in that time, he decides to pick the
games that maximize his earnings