-
Notifications
You must be signed in to change notification settings - Fork 367
Expand file tree
/
Copy pathFenwick Tree.py
More file actions
36 lines (27 loc) · 938 Bytes
/
Fenwick Tree.py
File metadata and controls
36 lines (27 loc) · 938 Bytes
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
class FenwickTree:
def __init__(self, size):
self.tree = [0] * (size + 1)
def next(self, index, delta):
while index < len(self.tree):
self.tree[index] += delta
index += index & (-index)
def get_prefix_sum(self, index):
sum = 0
while index > 0:
sum += self.tree[index]
index -= index & (-index)
return sum
def get_rangeSum(self, left, right):
return self.get_prefix_sum(right) - self.get_prefix_sum(left - 1)
values = [1, 3, 2, -5, 6, 4, 2, 1]
n = len(values)
fenwick_tree = FenwickTree(n)
# building the Fenwick tree
for i in range(n):
fenwick_tree.next(i + 1, values[i])
# get prefix sum at index 4
prefix_sum = fenwick_tree.get_prefix_sum(4)
print("Prefix Sum at index 5:", prefix_sum)
# get range sum from index 2 to 6
rangeSum = fenwick_tree.get_rangeSum(2, 6)
print("Range Sum from index 2 to 6:", rangeSum)