úÎ%#ñ   Safe-Inferred ANode within a tree, contains a splitting element for comparison, C and partial sum for this element, which is added to all lookups  to the right. !Mother structure holds functions C that allow to get a value to be summed and comparison function.  Below there is a tree of  s. JFenwick trees are a O(log N) data structure for updating cumulative sums. K This implementation comes with an operation to find a least element for J which real-valued cumulative sum reaches certain value, and allows for 2 storage of arbitrary information in the nodes.  See http:en.wikipedia.orgwiki Fenwick_tree  Type of values that are summed. Creates an empty Fenwick tree. %Inserts a value into a Fenwick tree. 3Inserts a value into a given node of Fenwick tree. =Finds a cumulative sum up to a given node of a Fenwick tree. H Note: if the node is not found, a sum at point corresponding to this P node is still returned. (Convenient for finding CDF value at a given point.) <Finds a cumulative sum up to a given node within a subtree. 6Finds a node corresponding to a given cumulative sum, @ convenient for sampling quantile function of a distribution. 7 NOTE: returns an answer only up to a cumulative sum  of a whole tree. 6Finds a node corresponding to a given cumulative sum,  if it is in a given subtree. 8Extract a sorted list of inserted values from the tree. :Extract a sorted list of inserted objects from a subtree, 9 and prepends it to a last argument. (For efficiency.) <Extract a sorted list of cumulative sums, and corresponding  objects from the tree. <Extract a sorted list of cumulative sums, and corresponding ; objects from a subtree, assuming a given cumulative sum < from the start (left side of a tree), and list of values : from the right side of a tree as two helper arguments.  (For efficiency.) ECreates a tree from a list and helper functions: compare, and value. 4Creates a subtree from a list and helper functions. 0 O(n^2): First it splits a list in half, then #Returns a maximum depth of a tree. *Returns maximum depth of a given subtree. &Returns number of elements in a tree.                   FenwickTree-0.1Data.Tree.FenwickFTreeemptyinsertqueryinvQuerytoList toFreqListfromListdepthsizeFNodeValinsert'query' invQuery'toList' toFreqList' fromList'depth'LeafNodepsumsplitleftrightrootvalcmp $fShowFTree