Four siblings share a jar of candies. Aman took \(\frac{1}{3}\) of the candies and returned 4 to the jar. Bharat then took \(\frac{1}{4}\) of what remained and returned 3. Chitra then took \(\frac{1}{2}\) of what remained and returned 2. Deepa took the remaining 17 candies. How many candies did Bharat and Chitra keep altogether (taken minus returned)?