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[pre-commit.ci] auto fixes from pre-commit.com hooks
for more information, see https://pre-commit.ci
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@ -1,11 +1,13 @@
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from __future__ import annotations
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class Node:
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def __init__(self, value: int = 0) -> None:
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self.value: int = value
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self.left: Node | None = None
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self.right: Node | None = None
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class PersistentSegmentTree:
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def __init__(self, arr: list[int]) -> None:
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self.n: int = len(arr)
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@ -33,7 +35,9 @@ class PersistentSegmentTree:
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self.roots.append(new_root)
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return len(self.roots) - 1
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def _update(self, node: Node | None, start: int, end: int, index: int, value: int) -> Node:
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def _update(
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self, node: Node | None, start: int, end: int, index: int, value: int
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) -> Node:
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"""
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Updates the node for the specified index and value and returns the new node.
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"""
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@ -53,7 +57,9 @@ class PersistentSegmentTree:
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new_node.left = node.left # Ensure left node is the same as the original
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new_node.right = self._update(node.right, mid + 1, end, index, value)
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new_node.value = new_node.left.value + (new_node.right.value if new_node.right else 0)
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new_node.value = new_node.left.value + (
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new_node.right.value if new_node.right else 0
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)
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return new_node
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@ -63,7 +69,9 @@ class PersistentSegmentTree:
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"""
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return self._query(self.roots[version], 0, self.n - 1, left, right)
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def _query(self, node: Node | None, start: int, end: int, left: int, right: int) -> int:
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def _query(
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self, node: Node | None, start: int, end: int, left: int, right: int
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) -> int:
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"""
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Queries the sum of values in the range [left, right] for the given node.
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"""
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@ -72,12 +80,15 @@ class PersistentSegmentTree:
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if left <= start and right >= end:
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return node.value
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mid = (start + end) // 2
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return (self._query(node.left, start, mid, left, right) +
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self._query(node.right, mid + 1, end, left, right))
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return self._query(node.left, start, mid, left, right) + self._query(
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node.right, mid + 1, end, left, right
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)
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# Running the doctests
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if __name__ == "__main__":
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import doctest
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print("Running doctests...")
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result = doctest.testmod()
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print(f"Ran {result.attempted} tests, {result.failed} failed.")
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