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Added type hints and warning fixes
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@ -1,3 +1,6 @@
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from __future__ import annotations
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class Node:
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"""A node in the Fibonacci heap.
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@ -27,7 +30,7 @@ class Node:
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True
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"""
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def __init__(self, key) -> None:
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def __init__(self, key: float | None) -> None:
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self.key = key or None
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self.degree = 0
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self.marked = False
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@ -73,7 +76,7 @@ class FibonacciHeap:
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self.min_node = Node(None)
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self.total_nodes = 0
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def insert(self, key) -> Node:
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def insert(self, key: float | None) -> Node:
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"""Insert a new key into the heap.
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Args:
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@ -105,7 +108,8 @@ class FibonacciHeap:
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self.total_nodes += 1
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return new_node
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def _insert_into_circular_list(self, base_node, node_to_insert) -> Node:
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@staticmethod
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def _insert_into_circular_list(base_node: Node, node_to_insert: Node) -> Node:
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"""Insert node into circular linked list.
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Args:
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@ -136,7 +140,7 @@ class FibonacciHeap:
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base_node.right = node_to_insert
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return base_node
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def extract_min(self) -> float:
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def extract_min(self) -> float | None:
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"""Remove and return the minimum key from the heap.
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This operation removes the node with the minimum key from the heap,
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@ -193,7 +197,7 @@ class FibonacciHeap:
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self.total_nodes -= 1
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return min_node.key
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def _consolidate(self):
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def _consolidate(self) -> None:
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"""Consolidate the heap after removing the minimum node.
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This internal method maintains the Fibonacci heap properties by combining
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@ -258,7 +262,7 @@ class FibonacciHeap:
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):
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self.min_node = degree_table[degree]
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def decrease_key(self, node, new_key):
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def decrease_key(self, node: Node, new_key: float | None) -> None:
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"""Decrease the key value of a given node.
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This operation updates the key of a node to a new, smaller value and
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@ -296,7 +300,7 @@ class FibonacciHeap:
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if node.key < self.min_node.key:
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self.min_node = node
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def _cut(self, child_node, parent_node):
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def _cut(self, child_node: Node, parent_node: Node) -> None:
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"""Cut a node from its parent and add it to the root list.
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This is a helper method used in decrease_key operations. When a node's key
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@ -325,7 +329,7 @@ class FibonacciHeap:
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child_node.parent = Node(None)
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child_node.marked = False
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def _cascading_cut(self, current_node) -> None:
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def _cascading_cut(self, current_node: Node) -> None:
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"""Perform cascading cut operation.
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Args:
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@ -338,7 +342,7 @@ class FibonacciHeap:
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self._cut(current_node, parent_node)
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self._cascading_cut(parent_node)
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def delete(self, node) -> None:
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def delete(self, node: Node) -> None:
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"""Delete a node from the heap.
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This operation removes a given node from the heap by first decreasing
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@ -365,7 +369,7 @@ class FibonacciHeap:
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self.decrease_key(node, float("-inf"))
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self.extract_min()
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def find_min(self) -> float:
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def find_min(self) -> float | None:
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"""Return the minimum key without removing it from the heap.
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This operation provides quick access to the minimum key in the heap
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@ -400,7 +404,7 @@ class FibonacciHeap:
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"""
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return self.min_node.key is None
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def merge(self, other_heap) -> None:
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def merge(self, other_heap: FibonacciHeap) -> None:
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"""Merge another Fibonacci heap into this one.
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This operation combines two Fibonacci heaps by concatenating their
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