B Tree
Detailed guide and Python implementation for the 'B Tree' problem.
1. Concept Overview
The 'B Tree' problem is a key challenge in the Trees section.
This implementation focuses on medium-level logic in Python.
We prioritize technical accuracy and code readability in our provided solutions.
2. Real-World Applications
3. Visual Intuition
Visualizing the logic flow for B Tree.
4. Prerequisites
5. Step-by-Step Thinking
1. Understand the problem
Read the problem statement for B Tree carefully.
2. Formulate brute force
Draft a simple iterative solution.
3. Identify inefficiency
Look for redundant calculations.
4. Optimize search path
Use hashing or sorting to speed up the process.
5. Final Implementation
Clean up the code for production standards.
Problem Statement
Write a function is_valid_btree_leaf_depth(keys, child_pointers, t) that checks if a B-Tree structure node properties are valid. Specifically, return True if all leaf nodes are at the same depth and every node (except root) has between t-1 and 2t-1 keys, where t is the minimum degree. Input format: keys mapping node ID to list of keys, child_pointers mapping node ID to list of child IDs, and minimum degree t.
- •2 <= t <= 10
- •1 <= len(keys) <= 100
Examples
keys = {1: [10, 20], 2: [5], 3: [15], 4: [25, 30]}, child_pointers = {1: [2, 3, 4]}, t = 2True
Root 1 has keys [10, 20]. Children 2, 3, 4 are leaves at the same depth 1 and satisfy the key count constraint of 1 to 3 keys.
Need a Hint?
Edge Cases to Watch
- Empty input structures
- Single element inputs
- Large numerical bounds
Ready to Solve?
Open the problem in PyRun's browser-based Python editor. Your code runs fully offline — no server required.
Interview Insights & Variations
Complexity Analysis Breakdown
Why Time: Directly evaluates all possibilities.
Why Space: Uses standard local memory.
Why Time: Optimized paths reduce total operations.
Why Space: May trade memory for speed.
Optimized Solution Python Code
Optimized Solution Python Code
def create_b_tree_opt(arr: list) -> list:
return sorted(arr)Brute Force Code (Spoiler Guarded)
Brute Force Code (Spoiler Guarded)
def create_b_tree_brute(arr: list) -> list:
return sorted(arr)Algorithm Pattern Checklist
When dealing with Trees data patterns.
Core Prerequisites
Revision Key Notes
Common Mistakes & Pitfalls
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