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r"""
Problem: Given root of a binary tree, return the:
1. binary-tree-right-side-view
2. binary-tree-left-side-view
3. binary-tree-top-side-view
4. binary-tree-bottom-side-view
"""
from __future__ importannotations
fromcollectionsimportdefaultdict
fromdataclassesimportdataclass
@dataclass
classTreeNode:
val: int
left: TreeNode|None=None
right: TreeNode|None=None
defmake_tree() ->TreeNode:
"""
>>> make_tree().val
3
"""
returnTreeNode(3, TreeNode(9), TreeNode(20, TreeNode(15), TreeNode(7)))
defbinary_tree_right_side_view(root: TreeNode) ->list[int]:
r"""
Function returns the right side view of binary tree.
3 <- 3
/ \
9 20 <- 20
/ \
15 7 <- 7
>>> binary_tree_right_side_view(make_tree())
[3, 20, 7]
>>> binary_tree_right_side_view(None)
[]
"""
defdepth_first_search(
root: TreeNode|None, depth: int, right_view: list[int]
) ->None:
"""
A depth first search preorder traversal to append the values at
right side of tree.
"""
ifnotroot:
return
ifdepth==len(right_view):
right_view.append(root.val)
depth_first_search(root.right, depth+1, right_view)
depth_first_search(root.left, depth+1, right_view)
right_view: list= []
ifnotroot:
returnright_view
depth_first_search(root, 0, right_view)
returnright_view
defbinary_tree_left_side_view(root: TreeNode) ->list[int]:
r"""
Function returns the left side view of binary tree.
3 -> 3
/ \
9 -> 9 20
/ \
15 -> 15 7
>>> binary_tree_left_side_view(make_tree())
[3, 9, 15]
>>> binary_tree_left_side_view(None)
[]
"""
defdepth_first_search(
root: TreeNode|None, depth: int, left_view: list[int]
) ->None:
"""
A depth first search preorder traversal to append the values
at left side of tree.
"""
ifnotroot:
return
ifdepth==len(left_view):
left_view.append(root.val)
depth_first_search(root.left, depth+1, left_view)
depth_first_search(root.right, depth+1, left_view)
left_view: list= []
ifnotroot:
returnleft_view
depth_first_search(root, 0, left_view)
returnleft_view
defbinary_tree_top_side_view(root: TreeNode) ->list[int]:
r"""
Function returns the top side view of binary tree.
9 3 20 7
⬇ ⬇ ⬇ ⬇
3
/ \
9 20
/ \
15 7
>>> binary_tree_top_side_view(make_tree())
[9, 3, 20, 7]
>>> binary_tree_top_side_view(None)
[]
"""
defbreadth_first_search(root: TreeNode, top_view: list[int]) ->None:
"""
A breadth first search traversal with defaultdict ds to append
the values of tree from top view
"""
queue= [(root, 0)]
lookup=defaultdict(list)
whilequeue:
first=queue.pop(0)
node, hd=first
lookup[hd].append(node.val)
ifnode.left:
queue.append((node.left, hd-1))
ifnode.right:
queue.append((node.right, hd+1))
forpairinsorted(lookup.items(), key=lambdaeach: each[0]):
top_view.append(pair[1][0])
top_view: list= []
ifnotroot:
returntop_view
breadth_first_search(root, top_view)
returntop_view
defbinary_tree_bottom_side_view(root: TreeNode) ->list[int]:
r"""
Function returns the bottom side view of binary tree
3
/ \
9 20
/ \
15 7
↑ ↑ ↑ ↑
9 15 20 7
>>> binary_tree_bottom_side_view(make_tree())
[9, 15, 20, 7]
>>> binary_tree_bottom_side_view(None)
[]
"""
fromcollectionsimportdefaultdict
defbreadth_first_search(root: TreeNode, bottom_view: list[int]) ->None:
"""
A breadth first search traversal with defaultdict ds to append
the values of tree from bottom view
"""
queue= [(root, 0)]
lookup=defaultdict(list)
whilequeue:
first=queue.pop(0)
node, hd=first
lookup[hd].append(node.val)
ifnode.left:
queue.append((node.left, hd-1))
ifnode.right:
queue.append((node.right, hd+1))
forpairinsorted(lookup.items(), key=lambdaeach: each[0]):
bottom_view.append(pair[1][-1])
bottom_view: list= []
ifnotroot:
returnbottom_view
breadth_first_search(root, bottom_view)
returnbottom_view
if__name__=="__main__":
importdoctest
doctest.testmod()