# The algorithmic problem Range

Consider the algorithmic problem Range de fined as follows:
Input: a, possibly NULL, node x in a binary search tree; two key values a,b with a less or egual to b;
Output: the sequence of entries in the binary search tree with root x whose key values are in the range [a..b].
Give a recursive algorithm to solve the above problem.
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Commented:
It's really easy. It's supposed to be recursive and you know in a binary search tree that every node less than the root is on the left of the root and every node greater is on the right side.
So all you need to do is look at x and see where it falls in the range. Then just recurse the tree from x putting all the values in the range out as output.
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