position array in ascending order.start to 1 and end to the difference between the last and first positions in the sorted array.start is less than or equal to end:
a. Calculate mid as the average of start and end.
b. Check if it's possible to place m balls with at least mid distance apart using a helper function.
c. If it's possible, update start to mid + 1 and set result to mid (potential answer).
d. If it's not possible, update end to mid - 1.result as the maximum minimum distance.