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Excellent understanding of the double hashing technique and why it's needed.
Proper handling of the edge case for the first bucket (size 1001 instead of 1000).
Lazy initialization of secondary arrays saves memory.
The detailed comments show deep understanding of the approach.
Areas for Improvement:
The comments are excessively verbose - consider making them more concise. The single large comment block in add could be split into smaller, focused comments.
Consider adding a brief docstring for each method explaining its purpose and complexity.
The variable names like primaryarraykeyhash and secondaryarraykeyhash could be slightly more concise (e.g., primary_idx, secondary_idx).
While the solution is correct, you could add a brief explanation of why secondaryarraylength + 1 is needed for the first bucket (to handle keys up to 10^6).
Overall: This is a solid solution that demonstrates strong understanding of hash set design with double hashing. The implementation is correct, efficient, and well-documented.
VERDICT: PASS
Min Stack (minStack.py)
Great job on solving this problem correctly! Your two-stack approach is the standard solution and works perfectly. Here are some suggestions:
Avoid shadowing built-ins: In your push() method, you use min as a variable name, which shadows Python's built-in min() function. Consider renaming it to current_min or using min() directly: self.minStack.append(min(val, self.minStack[-1])).
Cleaner code: You could simplify the push logic using Python's built-in min():
Good practices: Your initialization with float('infinity') is a nice Python-specific touch that handles the edge case of the first push correctly.
Documentation: Your comments are helpful and explain the approach well. Keep up the good documentation habits!
VERDICT: PASS
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