Question
Can someone help me with this PYTHON code Overview In this notebook you will complete the following implementation of the balanced (AVL) binary search tree.
Can someone help me with this PYTHON code
Overview
In this notebook you will complete the following implementation of the balanced (AVL) binary search tree. Note that you should not be implementing the map-based API described in the plain (unbalanced) BSTree notebook i.e., nodes in the AVLTree will only contain a single value.
class AVLTree: class Node: def __init__(self, val, left=None, right=None): self.val = val self.left = left self.right = right
def rotate_right(self): n = self.left self.val, n.val = n.val, self.val self.left, n.left, self.right, n.right = n.left, n.right, n, self.right def rotate_left(self): # YOUR CODE HERE raise NotImplementedError() @staticmethod def height(n): if not n: return 0 else: return max(1+AVLTree.Node.height(n.left), 1+AVLTree.Node.height(n.right))
def __init__(self): self.size = 0 self.root = None @staticmethod def rebalance(t): # YOUR CODE HERE raise NotImplementedError() def add(self, val): assert(val not in self) # YOUR CODE HERE raise NotImplementedError() def __delitem__(self, val): assert(val in self) # YOUR CODE HERE raise NotImplementedError() def __contains__(self, val): def contains_rec(node): if not node: return False elif val < node.val: return contains_rec(node.left) elif val > node.val: return contains_rec(node.right) else: return True return contains_rec(self.root) def __len__(self): return self.size def __iter__(self): def iter_rec(node): if node: yield from iter_rec(node.left) yield node.val yield from iter_rec(node.right) yield from iter_rec(self.root) def pprint(self, width=64): """Attempts to pretty-print this tree's contents.""" height = self.height() nodes = [(self.root, 0)] prev_level = 0 repr_str = '' while nodes: n,level = nodes.pop(0) if prev_level != level: prev_level = level repr_str += ' ' if not n: if level < height-1: nodes.extend([(None, level+1), (None, level+1)]) repr_str += '{val:^{width}}'.format(val='-', width=width//2**level) elif n: if n.left or level < height-1: nodes.append((n.left, level+1)) if n.right or level < height-1: nodes.append((n.right, level+1)) repr_str += '{val:^{width}}'.format(val=n.val, width=width//2**level) print(repr_str) def height(self): """Returns the height of the longest branch of the tree.""" def height_rec(t): if not t: return 0 else: return max(1+height_rec(t.left), 1+height_rec(t.right)) return height_rec(self.root)
# LL-fix (simple) test # 3 points
from unittest import TestCase
def height(t): if not t: return 0 else: return max(1+height(t.left), 1+height(t.right))
tc = TestCase() t = AVLTree()
for x in [3, 2, 1]: t.add(x) tc.assertEqual(height(t.root), 2) tc.assertEqual([t.root.left.val, t.root.val, t.root.right.val], [1, 2, 3])
# RR-fix (simple) test # 3 points
from unittest import TestCase
def height(t): if not t: return 0 else: return max(1+height(t.left), 1+height(t.right))
tc = TestCase() t = AVLTree()
for x in [1, 2, 3]: t.add(x) tc.assertEqual(height(t.root), 2) tc.assertEqual([t.root.left.val, t.root.val, t.root.right.val], [1, 2, 3])
# LR-fix (simple) test # 3 points
from unittest import TestCase
def height(t): if not t: return 0 else: return max(1+height(t.left), 1+height(t.right))
tc = TestCase() t = AVLTree()
for x in [3, 1, 2]: t.add(x) tc.assertEqual(height(t.root), 2) tc.assertEqual([t.root.left.val, t.root.val, t.root.right.val], [1, 2, 3])
# RL-fix (simple) test # 3 points
from unittest import TestCase
def height(t): if not t: return 0 else: return max(1+height(t.left), 1+height(t.right))
tc = TestCase() t = AVLTree()
for x in [1, 3, 2]: t.add(x) tc.assertEqual(height(t.root), 2) tc.assertEqual([t.root.left.val, t.root.val, t.root.right.val], [1, 2, 3])
# ensure key order is maintained after insertions and removals # 15 points
from unittest import TestCase import random
tc = TestCase() vals = list(range(0, 100000000, 333333)) random.shuffle(vals)
t = AVLTree() for x in vals: t.add(x)
for _ in range(len(vals) // 3): to_rem = vals.pop(random.randrange(len(vals))) del t[to_rem]
vals.sort()
for i,val in enumerate(t): tc.assertEqual(val, vals[i])
# stress testing # 15 points
from unittest import TestCase import random
tc = TestCase()
def traverse(t, fn): if t: fn(t) traverse(t.left, fn) traverse(t.right, fn)
def height(t): if not t: return 0 else: return max(1+height(t.left), 1+height(t.right)) def check_balance(t): tc.assertLess(abs(height(t.left) - height(t.right)), 2, 'Tree is out of balance')
t = AVLTree() vals = list(range(1000)) random.shuffle(vals) for i in range(len(vals)): t.add(vals[i]) for x in vals[:i+1]: tc.assertIn(x, t, 'Element added not in tree') traverse(t.root, check_balance)
random.shuffle(vals) for i in range(len(vals)): del t[vals[i]] for x in vals[i+1:]: tc.assertIn(x, t, 'Incorrect element removed from tree') for x in vals[:i+1]: tc.assertNotIn(x, t, 'Element removed still in tree') traverse(t.root, check_balance)
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