|
| 1 | +""" Outer view of a binary tree |
| 2 | + 20 |
| 3 | + 8 22 |
| 4 | +5 3 25 |
| 5 | + 10 14 |
| 6 | +
|
| 7 | + 1 |
| 8 | + 2 3 |
| 9 | +4 5 9 11 |
| 10 | + 6 10 |
| 11 | + 7 8 |
| 12 | +""" |
| 13 | + |
| 14 | + |
| 15 | +class Node(): |
| 16 | + def __init__(self, val, left=None, right=None): |
| 17 | + self.val = val |
| 18 | + self.left = left |
| 19 | + self.right = right |
| 20 | + |
| 21 | + |
| 22 | +def leaf_nodes(r, covered_nodes): |
| 23 | + if not r: |
| 24 | + return None |
| 25 | + if not r.left and not r.right and r.val not in covered_nodes: |
| 26 | + print(r.val, end=" ") |
| 27 | + covered_nodes.add(r.val) |
| 28 | + leaf_nodes(r.left, covered_nodes) |
| 29 | + leaf_nodes(r.right, covered_nodes) |
| 30 | + |
| 31 | + |
| 32 | +def left_view(r, current_level, max_level, covered_nodes): |
| 33 | + if not r: |
| 34 | + return None |
| 35 | + if current_level > max_level[0]: |
| 36 | + if r.val not in covered_nodes: |
| 37 | + print(r.val, end=" ") |
| 38 | + covered_nodes.add(r.val) |
| 39 | + max_level[0] = current_level |
| 40 | + left_view(r.left, current_level+1, max_level, covered_nodes) |
| 41 | + left_view(r.right, current_level+1, max_level, covered_nodes) |
| 42 | + |
| 43 | + |
| 44 | +def right_view(r, current_level, max_level, covered_nodes): |
| 45 | + if not r: |
| 46 | + return None |
| 47 | + if current_level > max_level[0]: |
| 48 | + if r.val not in covered_nodes: |
| 49 | + print(r.val, end=" ") |
| 50 | + covered_nodes.add(r.val) |
| 51 | + max_level[0] = current_level |
| 52 | + right_view(r.right, current_level+1, max_level, covered_nodes) |
| 53 | + right_view(r.left, current_level+1, max_level, covered_nodes) |
| 54 | + |
| 55 | + |
| 56 | +def outer_view(r): |
| 57 | + if r: |
| 58 | + outer_nodes = set() |
| 59 | + # print root node |
| 60 | + print(r.val, end=" ") |
| 61 | + outer_nodes.add(root.val) |
| 62 | + # print left view - already covered nodes |
| 63 | + left_view(r, 0, [-1], outer_nodes) |
| 64 | + # print leaf nodes - already covered nodes |
| 65 | + leaf_nodes(r, outer_nodes) |
| 66 | + # print right view - already covered nodes |
| 67 | + right_view(r, 0, [-1], outer_nodes) |
| 68 | + |
| 69 | + |
| 70 | +if __name__ == '__main__': |
| 71 | + root = Node(1) |
| 72 | + root.left = Node(2) |
| 73 | + root.left.left = Node(4) |
| 74 | + root.left.right = Node(5) |
| 75 | + root.left.right.right = Node(6) |
| 76 | + root.left.right.right.left = Node(7) |
| 77 | + root.left.right.right.right = Node(8) |
| 78 | + root.right = Node(3) |
| 79 | + root.right.left = Node(9) |
| 80 | + root.right.left.right = Node(10) |
| 81 | + root.right.right = Node(11) |
| 82 | + # root = Node(20) |
| 83 | + # root.left = Node(8) |
| 84 | + # root.right = Node(22) |
| 85 | + # root.left.left = Node(5) |
| 86 | + # root.left.right = Node(3) |
| 87 | + # root.left.right.left = Node(10) |
| 88 | + # root.left.right.right = Node(14) |
| 89 | + # root.right.right = Node(25) |
| 90 | + outer_view(root) |
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