Why did doctor livesy give long john silver the map?

Doctor Livesey gave Long John Silver the map because he believed it would help secure the cooperation of Silver and his crew in their quest for treasure. Livesey was aware of Silver's cunning and resourcefulness, and he thought that involving him would increase their chances of success. Additionally, Livesey hoped that by sharing the map, he could keep a closer watch on Silver's intentions and actions during the voyage. Ultimately, it was a strategic decision aimed at navigating the complexities of their adventure.