In a nature reserve, there are initially 1500 deer. The reserve authorities decide to relocate some of the deer to control the population. On the first relocation, they move 1/3 of the deer to another park. In the second relocation, they move half of the remaining deer to a wildlife sanctuary. How many deer are left in the nature reserve after both relocations? Let's think step by step and output the final answer within \boxed{}.
user