Array 3 Pointers

You are given 3 arrays A, B and C. All 3 of the arrays are sorted.

Find i, j, k such that :
max(abs(A[i] - B[j]), abs(B[j] - C[k]), abs(C[k] - A[i])) is minimized.
Return the minimum max(abs(A[i] - B[j]), abs(B[j] - C[k]), abs(C[k] - A[i]))

**abs(x) is absolute value of x and is implemented in the following manner : **

      if (x < 0) return -x;
      else return x;

Example :

Input : 
        A : [1, 4, 10]
        B : [2, 15, 20]
        C : [10, 12]

Output : 5 
         With 10 from A, 15 from B and 10 from C. 

NOTE: You only need to implement the given function. Do not read input, instead use the arguments to the function. Do not print the output, instead return values as specified. Still have a question? Checkout Sample Codes for more details.