úÎ%#x   Safe-Inferred ”Node within a tree, contains a splitting element for comparison, and partial sum for this element, which is added to all lookups to the right.€Mother structure holds functions that allow to get a value to be summed and comparison function. Below there is a tree of  s. ÿFenwick trees are a O(log N) data structure for updating cumulative sums. This implementation comes with an operation to find a least element for which real-valued cumulative sum reaches certain value, and allows for storage of arbitrary information in the nodes. See http:/en.wikipedia.orgwiki/Fenwick_treeType of values that are summed.Creates an empty Fenwick tree.$Inserts a value into a Fenwick tree. 2Inserts a value into a given node of Fenwick tree.ÔFinds a cumulative sum up to a given node of a Fenwick tree. Note: if the node is not found, a sum at point corresponding to this 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.ÀFinds a node corresponding to a given cumulative sum, convenient for sampling quantile function of a distribution. NOTE: returns an answer only up to a cumulative sum of a whole tree.UFinds a node corresponding to a given cumulative sum, if it is in a given subtree.7Extract a sorted list of inserted values from the tree.rExtract a sorted list of inserted objects from a subtree, and prepends it to a last argument. (For efficiency.)UExtract a sorted list of cumulative sums, and corresponding objects from the tree.ÿExtract 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.)DCreates a tree from a list and helper functions: compare, and value.cCreates a subtree from a list and helper functions. 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-0.1.2.1Data.Tree.FenwickFTreeemptyinsertqueryinvQuerytoList toFreqListfromListdepthsizeFNodeValinsert'query' invQuery'toList' toFreqList' fromList'depth'LeafNodepsumsplitleftrightrootvalcmp $fShowFTree