README

Segment Tree with range operations
==================================

.. figure:: https://img.shields.io/badge/license-MIT-blue.svg
   :alt: LicenseLink

This is a general implementation of a segment tree for Python 3.

-  Semigroup range operations in O(logN) time
-  Built-in support for ``max``, ``min``, ``sum`` operations
-  Extensible to support more semigroup operations
-  Limited support for multidimensional trees
-  Python 2 is not currently supported

Installation
============

``pip3 install segment-tree``

Segment Tree (one-dimensional)
==============================

Basic usage
-----------

.. code:: python


        from segment_tree import *
        array = [3, 1, 5, 3, 13, 7, 2, 7, 2]
        tree = SegmentTree(array)

        t.query(1, 3, "sum") # 9
        t.update(0, 10) # [10, 1, 5, 3, 13, 7, 2, 7, 2]
        t.query(0, 8, "min") # 0
        t.update(2, -1) # [10, 1, -1, 3, 13, 7, 2, 0, 2]
        t.query(0, 2, "min") # -1

Updates on ranges
-----------------

.. code:: python

        from segment_tree import *
        array = [1, 2, 3, 4, 5]
        t = SegmentTree(array)
        t.update_range(0, 2, 6) # 6 6 6 4 5
        t.update_range(1, 4, 2) # 6 2 2 2 2
        t.query(0, 3, "min") # 2

Multidimensional Segment Tree (alpha version, might have bugs)
==============================================================

Basic usage
-----------

.. code:: python

        from segment_tree import *
        a = [[[1, 2], [1, 3]], [[-1, -2], [-1, -3]]]
        tree = MultidimensionalSegmentTree(a)

        tree.query([(0, 1), (0, 0), (0, 0)], max) # 1
        tree.query([(1, 1), (0, 1), (0, 1)], sum) # -7
        tree.query([(0, 1), (1, 1), (0, 1)], min) # -3

Tests
=====

Execute ``python3 setup.py test`` to run tests.