Created
October 20, 2012 08:36
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SegmentTree in Python
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INF = 999999999999999 | |
class SegTreeNode(object): | |
def __init__(self, left, right, data): | |
self.left = left | |
self.right = right | |
self.data = data | |
self.left_child = None | |
self.right_child = None | |
def __repr__(self): | |
return "<node left:%d right:%d data:%d>" % (self.left, self.right, self.data) | |
class SegTree(object): | |
def __init__(self, left, right): | |
self.root = self.make_tree(left, right) | |
def make_tree(self, left, right): | |
node = SegTreeNode(left, right, INF) | |
if left < right: | |
mid = (left + right) / 2 | |
node.left_child = self.make_tree(left, mid) | |
node.right_child = self.make_tree(mid + 1, right) | |
return node | |
def _update(self, left, right, val, node): | |
if right < node.left or left > node.right: | |
return | |
if node.left_child and left <= node.left_child.right: | |
self._update(left, right, val, node.left_child) | |
if node.right_child and right >= node.right_child.left: | |
self._update(left, right, val, node.right_child) | |
if node.left >= left and node.right <= right: | |
node.data = min(node.data, val) | |
def update(self, left, right, val): | |
self._update(left, right, val, self.root) | |
def _query(self, left, right, node): | |
if node is None or right < node.left or left > node.right: | |
return INF | |
if node.left >= left and node.right <= right: | |
return node.data | |
return min(self._query(left, right, node.left_child), self._query(left, right, node.right_child)) | |
def query(self, left, right): | |
return self._query(left, right, self.root) |
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