Datastructure
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class BST: | |
def __init__(self, value, left=None, right=None): | |
self.value = value | |
self.left = left | |
self.right = right | |
@classmethod | |
def from_arr(cls, arr): | |
root = BST(arr.pop(0)) | |
for x in arr: | |
root.insert(x) | |
return root | |
def insert(self, value): | |
if self.value == value: | |
return | |
if value < self.value: | |
if self.left: | |
self.left.insert(value) | |
else: | |
self.left = BST(value) | |
else: | |
if self.right: | |
self.right.insert(value) | |
else: | |
self.right = BST(value) | |
def get(self, value): | |
if value == self.value: | |
return True | |
if value < self.value: | |
if self.left: | |
return self.left.get(value) | |
return False | |
else: | |
if self.right: | |
return self.right.get(value) | |
return False | |
def remove(self, value): | |
curr = self | |
parent = None | |
while curr: | |
if value == curr.value: break | |
parent = curr | |
if value < curr.value: curr = curr.left | |
else: curr = curr.right | |
if not curr: return | |
# Case 1: deleted node has left node and right node | |
if curr.left and curr.right: | |
p = curr | |
q = curr.left | |
while 1: | |
if q.right: | |
p = q | |
q = q.right | |
else: | |
break | |
# swap value between rightmost of left node and deleted node | |
curr.value = q.value | |
if p is curr: | |
p.left = None | |
else: | |
p.right = None | |
return | |
# Case 2: Deleted node has left node or right node or is leaf node | |
new_node = curr.left or curr.right | |
if parent.left is curr: parent.left = new_node | |
else: parent.right = new_node | |
def __iter__(self): | |
yield self.value | |
if self.left: | |
yield from self.left | |
if self.right: | |
yield from self.right | |
if __name__ == '__main__': | |
arr = [2,3,5,4,1,9] | |
bst = BST.from_arr(arr) | |
print(list(bst)) | |
print(bst.get(10), bst.get(5)) | |
bst.remove(2) | |
print(list(bst)) |
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class SegmentTree: | |
def __init__(self, value, left=None, right=None): | |
self.value = value | |
self.left = left | |
self.right = right | |
@classmethod | |
def from_array(cls, arr): | |
if len(arr) == 1: | |
return SegmentTree(arr[0]) | |
mid = len(arr) // 2 | |
left = cls.from_array(arr[0:mid]) | |
right = cls.from_array(arr[mid:]) | |
value = min(left.value, right.value) | |
root = SegmentTree(value, left, right) | |
return root | |
def update(self, pos, value, from_, to_): | |
if from_ == pos: | |
self.value = value | |
return | |
mid = (from_ + to_) // 2 | |
if pos < mid: | |
self.left.update(pos, value, from_, mid) | |
else: | |
self.right.update(pos, value, mid, to_) | |
self.value = min(self.left.value, self.right.value) | |
def query(self, left, right, from_, to_): | |
mid = (from_ + to_) // 2 | |
if left <= mid < right: | |
return self.value | |
if mid < left: | |
return self.right.query(left, right, mid, to_) | |
return self.left.query(left, right, from_, mid) | |
if __name__ == '__main__': | |
arr = [2,5,4,3,1,7,9] | |
T = SegmentTree.from_array(arr) | |
print(T.query(0,3,0,7)) | |
T.update(2, 1, 0, 7) | |
print(T.query(0, 3, 0, 7)) |
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