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Multidimensional segment tree with ranges updates.

Project description

Segment Tree with range operations

<figure> LicenseLink </figure>

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

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

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

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.

Project details


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