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Heap

A Python binary heap supporting both min-heap and max-heap behavior. Each node (PQNode) must be unique and hashable. The heap allows fast insert, update, remove, and pop operations.


Features

  • Min-heap or max-heap (kind="min" or "max")
  • Nodes store a key (used for ordering) and value (actual data)
  • Duplicate nodes trigger a warning but are allowed
  • O(log n) insert, update, pop, and remove

Installation

Copy the Heap class and PQNode protocol into your project. No external dependencies required.


Usage

from heap import Heap, PQNode
import warnings

class Node:
    def __init__(self, key, value):
        self.key = key       # Heap ordering
        self.value = value   # Unique data

    # Ensure uniqueness and hashability via `value`
    def __hash__(self):
        return hash(self.value)

    def __eq__(self, other):
        return isinstance(other, Node) and self.value == other.value

# Create a min-heap
heap = Heap(kind="min")

# Insert nodes
n1 = Node(5, "apple")
n2 = Node(2, "banana")
n3 = Node(8, "cherry")

heap.insert(n1)
heap.insert(n2)
heap.insert(n3)

# Pop the top element (smallest key)
top = heap.pop()
print(top.value, top.key)  # Output: banana 2

# Update a node's key
heap.update(n3, 1)
print(heap.pop().value, heap.pop().key)  # Output: cherry 1

# Remove a node
heap.remove(n1)