Maximize capital with projects

You want to maximize your capital by completing at most k distinct investment projects, starting with initial capital w. You are given two arrays: profits[i] is the pure profit of project i (added to your capital on completion) and capital[i] is the minimum capital required to start project i. You can only run a project if your current capital is at least its required capital, each project at most once, and profits are non-negative. Return the maximum capital after completing at most k projects. There are 1 to 10^5 projects; k, w, profits, and capital are non-negative and fit in 32-bit signed range.