Sparse Table Implementation for Range Minimum Queries
Sparse Table Implementation for Range Minimum Queries Sparse Table Implementation for Range Minimum Queries In this article, we will explore a Python implementation of the Sparse Table data structure, which allows for efficient range minimum queries in a static array. The Sparse Table is a powerful data structure that can significantly improve the performance of querying the minimum element over a range of indices in an array. The Sparse Table Class Let's start by looking at the code for the Sparse Table class: class SparseTable: def __init__(self, arr): n = len(arr) k = len("{:b}".format(n)) table = [[(float("inf"), float('inf'))] * k for _ in range(n)] for l in range(k): for i in range(n): if l == 0: table[i][l] = arr[i] else: a = table[i][l - 1] b = (float("inf"), float('inf'))