A robotic technology startup is located in San Francisco. The CEO has 3000 battery packs that he wants to transport with Danny (the robotic bird) to his other branch, across a 1000-kilometer stretch of land. The owner has only one robotic bird, which carries a maximum of 1000 battery packs at any moment in time, and consumes one battery pack every kilometer it travels.
What is the largest number of battery packs that can be delivered to the branch?
(3x) 1000 >> 250 (leave 500@) 1500 each trip + 250 from final >> 1750@250
(1x) 1000>>500 (500@500), return pick up 750 from 250mark, gets to 500 with 500 left, pick up 5 from 5mark, all the way w full thousand leaves 500