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07e991d553
* ci(pre-commit): Add pep8-naming to `pre-commit` hooks (#7038) * refactor: Fix naming conventions (#7038) * Update arithmetic_analysis/lu_decomposition.py Co-authored-by: Christian Clauss <cclauss@me.com> * [pre-commit.ci] auto fixes from pre-commit.com hooks for more information, see https://pre-commit.ci * refactor(lu_decomposition): Replace `NDArray` with `ArrayLike` (#7038) * chore: Fix naming conventions in doctests (#7038) * fix: Temporarily disable project euler problem 104 (#7069) * chore: Fix naming conventions in doctests (#7038) Co-authored-by: Christian Clauss <cclauss@me.com> Co-authored-by: pre-commit-ci[bot] <66853113+pre-commit-ci[bot]@users.noreply.github.com>
79 lines
2.3 KiB
Python
79 lines
2.3 KiB
Python
import math
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class SegmentTree:
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def __init__(self, a):
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self.N = len(a)
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self.st = [0] * (
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4 * self.N
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) # approximate the overall size of segment tree with array N
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self.build(1, 0, self.N - 1)
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def left(self, idx):
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return idx * 2
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def right(self, idx):
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return idx * 2 + 1
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def build(self, idx, l, r): # noqa: E741
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if l == r: # noqa: E741
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self.st[idx] = A[l]
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else:
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mid = (l + r) // 2
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self.build(self.left(idx), l, mid)
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self.build(self.right(idx), mid + 1, r)
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self.st[idx] = max(self.st[self.left(idx)], self.st[self.right(idx)])
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def update(self, a, b, val):
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return self.update_recursive(1, 0, self.N - 1, a - 1, b - 1, val)
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def update_recursive(self, idx, l, r, a, b, val): # noqa: E741
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"""
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update(1, 1, N, a, b, v) for update val v to [a,b]
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"""
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if r < a or l > b:
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return True
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if l == r: # noqa: E741
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self.st[idx] = val
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return True
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mid = (l + r) // 2
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self.update_recursive(self.left(idx), l, mid, a, b, val)
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self.update_recursive(self.right(idx), mid + 1, r, a, b, val)
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self.st[idx] = max(self.st[self.left(idx)], self.st[self.right(idx)])
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return True
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def query(self, a, b):
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return self.query_recursive(1, 0, self.N - 1, a - 1, b - 1)
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def query_recursive(self, idx, l, r, a, b): # noqa: E741
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"""
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query(1, 1, N, a, b) for query max of [a,b]
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"""
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if r < a or l > b:
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return -math.inf
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if l >= a and r <= b: # noqa: E741
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return self.st[idx]
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mid = (l + r) // 2
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q1 = self.query_recursive(self.left(idx), l, mid, a, b)
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q2 = self.query_recursive(self.right(idx), mid + 1, r, a, b)
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return max(q1, q2)
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def show_data(self):
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show_list = []
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for i in range(1, N + 1):
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show_list += [self.query(i, i)]
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print(show_list)
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if __name__ == "__main__":
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A = [1, 2, -4, 7, 3, -5, 6, 11, -20, 9, 14, 15, 5, 2, -8]
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N = 15
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segt = SegmentTree(A)
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print(segt.query(4, 6))
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print(segt.query(7, 11))
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print(segt.query(7, 12))
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segt.update(1, 3, 111)
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print(segt.query(1, 15))
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segt.update(7, 8, 235)
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segt.show_data()
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