binary search all 3 problems

[ADITYABHURAN]

No description provided.

[super30admin]

Find the First and Last Position of an Element in given Sorted Array (problem1.py)

Strengths:

• The solution correctly implements the binary search algorithm for finding both first and last positions.
• Good use of comments explaining time and space complexity.
• The optimization of starting the second search from the first occurrence index is well-implemented.
• Clean and readable code structure with helper functions.

Areas for Improvement:

• Function names follow mixed case convention (firstbinarysearch) instead of Python's recommended snake_case (first_binary_search).
• The comment "its log n because we are doing binary search twice" is slightly informal; consider "O(log n) because we perform two binary searches."
• Could add type hints for better code documentation (e.g., def firstbinarysearch(nums: List[int], target: int, low: int, high: int) -> int:).

Overall, this is a solid solution that correctly solves the problem with optimal time and space complexity.

VERDICT: PASS

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Find the Minimum Element in a Rotated Array(sorted) (problem2.py)

Strengths:

1. Clean and readable implementation of binary search
2. Good use of comments to explain the logic
3. Correctly handles the edge case of non-rotated arrays
4. Proper use of (high - low) // 2 to avoid integer overflow (though in Python this isn't a concern)
5. Successfully runs on Leetcode

Areas for Improvement:

1. Consider adding the check for nums[mid] < nums[mid+1] as an additional condition, similar to the reference solution. This makes the logic more robust and explicit about identifying the minimum.
2. The current implementation relies on the nums[mid] < nums[mid-1] check, which works but could be made more comprehensive.

Overall, this is a solid implementation that correctly solves the problem with optimal time and space complexity.

VERDICT: PASS

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Find the Peak Element (problem3.py)

Strengths:

• Correctly implements binary search for peak finding
• Handles edge cases (first and last elements) appropriately
• Clean, readable code with good variable naming
• Includes helpful comments about complexity
• Proper use of Python idioms (// for integer division)

Areas for improvement:

• The solution is functionally equivalent to the reference and doesn't need major changes
• Could potentially add type hints for better code documentation (e.g., def findPeakElement(self, nums: List[int]) -> int)
• The trailing comment "# Any problem you faced while coding this : No" is unnecessary and could be removed for cleaner production code

The solution is efficient and follows best practices. It's a solid implementation that would pass all test cases.

VERDICT: PASS