forked from hofmannol/AlgoDatSoSe25
208 lines
6.8 KiB
Python
208 lines
6.8 KiB
Python
from vorlesung.L05_binaere_baeume.bin_tree_node import BinaryTreeNode
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from utils.memory_manager import MemoryManager
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from utils.memory_array import MemoryArray
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from utils.project_dir import get_path
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from datetime import datetime
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class BinaryTree:
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def __init__(self):
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self.root = None
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self.size = 0
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def new_node(self, value):
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return BinaryTreeNode(value)
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def insert(self, value):
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self.size += 1
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value = self.new_node(value)
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if self.root is None:
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self.root = value
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return self.root, None
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else:
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current = self.root
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while True:
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if value < current:
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if current.left:
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current = current.left
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else:
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current.left = value
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return current.left, current
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elif value >= current:
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if current.right:
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current = current.right
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else:
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current.right = value
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return current.right, current
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else:
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return None, None
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def search(self, value):
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current = self.root
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while current:
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if value < current.value:
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current = current.left
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elif value > current.value:
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current = current.right
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else:
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return current
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return None
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def delete(self, value):
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# Der Wert wird im Baum gesucht und der erste Treffer gelöscht
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# Rückgabe falls der Wert gefunden wird:
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# der Knoten, der den zu löschenden Knoten ersetzt und der Elternknoten des gelöschten Knotens
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parent = None
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current = self.root
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while current:
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if value < current.value:
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parent = current
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current = current.left
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elif value > current.value:
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parent = current
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current = current.right
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else:
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# Knoten gefunden
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break
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else:
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# Wert nicht gefunden
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return
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return self.delete_node(current, parent)
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def delete_node(self, current, parent):
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# Der übergebene Knoten wird
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# Rückgabe ist ein Tupel:
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# der Knoten, der den zu löschenden Knoten ersetzt und der Elternknoten des gelöschten Knotens
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self.size -= 1
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# Fall 3: Es gibt zwei Kinder: wir suchen den Nachfolger
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if current.left and current.right:
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parent = current
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successor = current.right
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while successor.left:
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parent = successor
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successor = successor.left
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# Wert des Nachfolgers wird in den Knoten geschrieben, der gelöscht werden soll
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current.value = successor.value
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# Ab jetzt muss successor gelöscht werden; parent ist bereits richtig gesetzt
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current = successor
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# Ermitteln des einen Kindes (falls es eines gibt), sonst None
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# Das eine Kind ist der Ersatz für den Knoten, der gelöscht werden soll
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if current.left:
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child = current.left
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else:
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child = current.right
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# Falls es keinen Elternknoten gibt, ist der Ersatzknoten die Wurzel
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if not parent:
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self.root = child
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return child, None
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elif parent.left == current:
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parent.left = child
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return child, parent
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else:
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parent.right = child
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return child, parent
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def in_order_traversal(self, callback):
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def in_order_traversal_recursive(callback, current):
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if current is not None:
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in_order_traversal_recursive(callback, current.left)
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callback(current)
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in_order_traversal_recursive(callback, current.right)
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in_order_traversal_recursive(callback, self.root)
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def level_order_traversal(self, callback):
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if self.root is None:
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return
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queue = [(self.root, 0)]
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while queue:
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current, level = queue.pop(0)
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callback(current, level)
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if current.left is not None:
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queue.append((current.left, level + 1))
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if current.right is not None:
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queue.append((current.right, level + 1))
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def tree_structure_traversal(self, callback):
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def tree_structure_traversal_recursive(callback, current, level):
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nonlocal line
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if current:
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tree_structure_traversal_recursive(callback, current.left, level + 1)
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callback(current, level, line)
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line += 1
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tree_structure_traversal_recursive(callback, current.right, level + 1)
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line = 0
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tree_structure_traversal_recursive(callback, self.root, 0)
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def graph_traversal(self):
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def define_node(node, level, line):
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nonlocal file
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if node is not None:
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file.write(node.gv_rep(level, line))
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def graph_traversal_recursive(current):
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nonlocal file
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if current is not None:
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if current.left:
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file.write(f"{id(current)} -> {id(current.left)}; \n")
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graph_traversal_recursive(current.left)
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if current.right:
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file.write(f"{id(current)} -> {id(current.right)}; \n")
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graph_traversal_recursive(current.right)
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timestamp = datetime.now().strftime("%Y%m%d_%H:%M:%S")
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filename = f"graph_{timestamp}.gv"
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filename = get_path(filename)
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with open(filename, "w") as file:
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file.write("digraph BST {\n")
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file.write("layout=neato;\n")
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file.write("node [shape=circle, fontname=\"Arial\"];\n")
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self.tree_structure_traversal(define_node)
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graph_traversal_recursive(self.root)
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file.write("}")
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if __name__ == "__main__":
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tree = BinaryTree()
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values = [5, 3, 7, 2, 4, 6, 5, 8]
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for value in values:
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tree.insert(value)
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def print_node(node, indent=0, line=None):
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print((indent * 3) * " ", node.value)
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print("In-order traversal:")
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tree.in_order_traversal(print_node)
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print("\nLevel-order traversal:")
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tree.level_order_traversal(print_node)
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print("\nTree structure traversal:")
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tree.tree_structure_traversal(print_node)
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print("\nGraph traversal:")
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tree.graph_traversal()
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print("\nDeleting 5:")
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tree.delete(5)
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print("In-order traversal after deletion:")
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tree.in_order_traversal(print_node)
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print("\nLevel-order traversal after deletion:")
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tree.level_order_traversal(print_node)
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print("\nTree structure traversal after deletion:")
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tree.tree_structure_traversal(print_node)
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