This problem was asked by Microsoft.
Compute the running median of a sequence of numbers. That is, given a stream of numbers, print out the median of the list so far on each new element.
Recall that the median of an even-numbered list is the average of the two middle numbers.
For example, given the sequence
[2, 1, 5, 7, 2, 0, 5], your algorithm should print out:
2 1.5 2 3.5 2 2 2