Correction during revising session with Kim
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parent
ddea8c08f8
commit
5e64039f27
1 changed files with 70 additions and 19 deletions
89
tree.py
Normal file → Executable file
89
tree.py
Normal file → Executable file
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@ -3,7 +3,6 @@
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import sys
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class Node:
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def __init__(self, k):
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self.key = k
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@ -48,7 +47,14 @@ def reverse_walk(t):
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# Complexity (worst): Theta(n)
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def search(tree, k):
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pass
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if tree is None:
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return None
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elif tree.key == k:
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return tree
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elif k < tree.key:
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return search(tree.left, k)
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else:
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return search(tree.right, k)
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# Complexity (worst): Theta(n)
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@ -92,13 +98,21 @@ def predecessor(t):
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def insert(t, k):
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if t is None:
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return Node(k)
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if t.key < t.key:
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t.set_left(insert(t.left, k))
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insert_node(t, Node(k))
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def insert_node(t, node):
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if node.key < t.key:
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if t.left is None:
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t.set_left(node)
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else:
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tree.set_right(insert(t.right, k))
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return t
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insert_node(t.left, node)
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else:
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if t.right is None:
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t.set_right(node)
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else:
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insert_node(t.right, node)
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def right_rotate(x):
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# assume x is not None
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@ -108,6 +122,7 @@ def right_rotate(x):
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t.right = x
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return t
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def left_rotate(x):
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# assume x is not None
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# assume x.right is not None
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@ -116,6 +131,7 @@ def left_rotate(x):
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t.left = x
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return t
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def root_insert(t, k):
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if t is None:
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return Node(k)
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@ -126,6 +142,36 @@ def root_insert(t, k):
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t.set_left(root_insert(t.left, k))
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return right_rotate(t)
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def unlink_me(node, to_link):
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if node.parent == None:
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node.key = to_link.key
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node.left = to_link.left
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node.right = to_link.right
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elif node.parent.left == node:
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node.parent.left = to_link
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else:
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node.parent.right = to_link
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def delete(t, k):
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to_delete = search(t, k)
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if to_delete is None:
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return
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elif to_delete.left is None:
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unlink_me(to_delete, to_delete.right)
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elif to_delete.right is None:
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unlink_me(to_delete, to_delete.left)
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else:
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if abs(to_delete.left.key - to_delete.key) < abs(to_delete.right.key -
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to_delete.key):
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unlink_me(to_delete, to_delete.left)
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insert_node(to_delete.left, to_delete.right)
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else:
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unlink_me(to_delete, to_delete.right)
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insert_node(to_delete.right, to_delete.left)
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###############################################################################
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# Code for printing trees, ignore this
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@ -196,15 +242,20 @@ def print_w(t, width):
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if __name__ == "__main__":
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print_tree(tree)
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in_order_walk(tree)
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print()
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reverse_walk(tree)
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print()
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print(tree.left.right.right.key)
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print(successor(tree.left.right.right).key)
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print(predecessor(tree.left.right.right).key)
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args = [x for x in sys.argv[1:]]
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T = Node(int(args[0]))
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for i in range(1, len(args)):
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if args[i] == '|':
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break
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print_tree(T)
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print("\nInsert " + str(args[i]) + ":")
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insert(T, int(args[i]))
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for i in range(i+1, len(args)):
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print_tree(T)
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print("\nDelete " + str(args[i]) + ":")
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delete(T, int(args[i]))
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print_tree(T)
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#print(tree.left.right.right.key)
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#print(successor(tree.left.right.right).key)
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#print(predecessor(tree.left.right.right).key)
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