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path_sum.py
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"""
Given a binary tree and a sum, determine if the tree has a root-to-leaf
path such that adding up all the values along the path equals the given sum.
For example:
Given the below binary tree and sum = 22,
5
/ \
4 8
/ / \
11 13 4
/ \ \
7 2 1
return true, as there exist a root-to-leaf path 5->4->11->2 which sum is 22.
"""
defhas_path_sum(root, sum):
"""
:type root: TreeNode
:type sum: int
:rtype: bool
"""
ifrootisNone:
returnFalse
ifroot.leftisNoneandroot.rightisNoneandroot.val==sum:
returnTrue
sum-=root.val
returnhas_path_sum(root.left, sum) orhas_path_sum(root.right, sum)
# DFS with stack
defhas_path_sum2(root, sum):
ifrootisNone:
returnFalse
stack= [(root, root.val)]
whilestack:
node, val=stack.pop()
ifnode.leftisNoneandnode.rightisNone:
ifval==sum:
returnTrue
ifnode.leftisnotNone:
stack.append((node.left, val+node.left.val))
ifnode.rightisnotNone:
stack.append((node.right, val+node.right.val))
returnFalse
# BFS with queue
defhas_path_sum3(root, sum):
ifrootisNone:
returnFalse
queue= [(root, sum-root.val)]
whilequeue:
node, val=queue.pop(0) # popleft
ifnode.leftisNoneandnode.rightisNone:
ifval==0:
returnTrue
ifnode.leftisnotNone:
queue.append((node.left, val-node.left.val))
ifnode.rightisnotNone:
queue.append((node.right, val-node.right.val))
returnFalse