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class BTreeNode:
def __init__(self, leaf=False):
self.leaf = leaf
self.keys = []
self.children = []
class BTree:
def __init__(self, t):
self.root = BTreeNode(leaf=True)
self.t = t # Minimum degree (determines the maximum number of keys in a node)
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BTreeNodeã¯B-treeå ã®ããŒãã衚ããŸããããŒãããªãŒãã§ãããã©ãããå«ãŸããããŒãããã³ãã®åãžã®ãã€ã³ã¿ãæ ŒçŽããŸããBTreeã¯æšæ§é å šäœã衚ããŸããã«ãŒãããŒããšæå°æ¬¡æ°ïŒtïŒãæ ŒçŽããããã¯æšã®åå²ä¿æ°ã決å®ããŸããtã倧ããã»ã©ãéåžžã¯å¹ ãåºããæµ ãæšã«ãªãããã£ã¹ã¯ã¢ã¯ã»ã¹åæ°ãæžããããšã§ããã©ãŒãã³ã¹ãåäžãããããšãã§ããŸãã
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def search(node, key):
i = 0
while i < len(node.keys) and key > node.keys[i]:
i += 1
if i < len(node.keys) and key == node.keys[i]:
return node.keys[i] # Key found
elif node.leaf:
return None # Key not found
else:
return search(node.children[i], key) # Recursively search in the appropriate child
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search颿°ãååž°çã«åŒã³åºããŸãã
æ¿å ¥æäœ
æ¿å ¥æäœã¯ããè€éã§ããããã©ã³ã¹ãç¶æããããã«ãã«ããŒããåå²ããããšãå«ãŸããŸãã以äžã«ç°¡ç¥åãããããŒãžã§ã³ã瀺ããŸãã
def insert(tree, key):
root = tree.root
if len(root.keys) == (2 * tree.t) - 1: # Root is full
new_root = BTreeNode()
tree.root = new_root
new_root.children.insert(0, root)
split_child(tree, new_root, 0) # Split the old root
insert_non_full(tree, new_root, key)
else:
insert_non_full(tree, root, key)
def insert_non_full(tree, node, key):
i = len(node.keys) - 1
if node.leaf:
node.keys.append(None) # Make space for the new key
while i >= 0 and key < node.keys[i]:
node.keys[i + 1] = node.keys[i]
i -= 1
node.keys[i + 1] = key
else:
while i >= 0 and key < node.keys[i]:
i -= 1
i += 1
if len(node.children[i].keys) == (2 * tree.t) - 1:
split_child(tree, node, i)
if key > node.keys[i]:
i += 1
insert_non_full(tree, node.children[i], key)
def split_child(tree, parent_node, i):
t = tree.t
child_node = parent_node.children[i]
new_node = BTreeNode(leaf=child_node.leaf)
parent_node.children.insert(i + 1, new_node)
parent_node.keys.insert(i, child_node.keys[t - 1])
new_node.keys = child_node.keys[t:(2 * t - 1)]
child_node.keys = child_node.keys[0:(t - 1)]
if not child_node.leaf:
new_node.children = child_node.children[t:(2 * t)]
child_node.children = child_node.children[0:t]
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