You play on a local game show where you will complete n different challenges and try to make as much money as possible. the i-th challenge takes ti minutes to complete, and starts with a value of vi dollars, but its value decreases by one dollar per minute. in other words, if you complete challenge i at time f(i), you earn vi− f(i) dollars, where f(i) represents the ɵme for compleɵng the i-th challenge plus the time of waiting other challenges to finish. every challenge has starting value vi ≥ ∑i=1n ti , so you will make some money from each challenge.