How to access the Redux store from deeply nested components

I'm new to Redux and my nested component structure is shown below. I have a Redux container which owns the state and renders Component A. Component A renders Component B and Component B renders Component C.

- Redux Container
  - Dumb Component A          <-- Child of Redux Container
    - Dumb Component B        <-- Child of Component A
      -  Dumb Component C     <-- Child of Component B

Components A, B and C need to access the Redux store to update the state. How can I go about doing this? I don't want to change each dumb component into containers. Any help would be greatly appreciated. Thanks!