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@agk-s30 agk-s30 commented Aug 10, 2026

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agk-s30 added 2 commits August 9, 2026 17:45
Implement binary search to find the missing element in a sorted array.
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Interview Problem: Find Missing Number in a sorted array (Problem_1.py)

EUSTIC

EVALUATION:
The student's solution does not correctly solve the given problem. The problem asks to find the single missing number in a sorted array of n-1 integers (where one integer from 1 to n is missing). However, the student's solution is for a different problem: "Missing Element in Sorted Array" from LeetCode, which asks to find the k-th missing number when multiple numbers might be missing.

Let me analyze the student's code:

  • The function missingElement takes nums and k as parameters
  • It uses binary search to find the k-th missing element
  • The logic uses nums[mid] - nums[0] - mid < k to determine which side to search

This is solving a different problem than what's asked. The reference solution finds the single missing number in an array where exactly one number is missing from 1 to n.

For the given problem (single missing number), the student's approach would not work because:

  1. The function signature doesn't match the problem requirements
  2. The algorithm assumes multiple missing numbers and finds the k-th one
  3. For the example arr[] = [1, 2, 3, 5, 6, 7, 8], calling missingElement(arr, 1) would return 4, but the problem expects just finding the missing number without a k parameter

Time Complexity: O(log n) - matches reference
Space Complexity: O(1) - matches reference
Code Quality: The code is well-structured but solves the wrong problem.

FEEDul:
Your solution demonstrates good understanding of binary search and has clean code structure. However, there are significant issues:

  1. Wrong Problem: Your solution is for "Missing Element in Sorted Array" (LeetCode 1060), which finds the k-th missing number. The actual problem asks to find the single missing number in an array where exactly one number from 1 to n is missing.

  2. Function Signature: Your function takes k as a parameter, but the problem doesn't require this. The function should just find the one missing number.

  3. Correct Approach for the Given Problem:

    • Use binary search to find where arr[i] - i != arr[i+1] - (i+1) (i.e., where the difference between value and index changes)
    • Or use the formula: arr[i] - (i+1) to find how many numbers are missing up to index i
    • The missing number is at the position where this difference changes
  4. Strengths:

    • Good use of binary search with O(log n) complexity
    • Clean, readable code
    • Proper variable naming
  5. Suggestions:

    • Re-read the problem carefully to understand what's being asked
    • For the single missing number problem, you can use the simpler approach: iterate and find where arr[i+1] - arr[i] > 1, or use binary search with the index-value difference check
    • Make sure your solution matches the problem requirements

VERDICT: NEEDS_IMPROVEMENT


Interview Problem: Design Min Heap (Problem_2.py)

ELEMENT: [PASS or NEEDS_IMPROVEMENT]
ELEMENT: [PASS or NEEDS_IMPRO
ELEMENT: getMin() returns the root element in O(1) time. The implementation correctly checks if the heap is empty and returns None in that case. Correct.

ELEMENT: insert() adds a new element at the end and bubbles up to maintain heap property. The implementation correctly computes the parent index as (i - 1) // 2 and swaps when the child is smaller than the parent. Correct.

ELEMENT: extractMin() removes the minimum element and re-heapifies. The implementation correctly handles the edge case of a single element, moves the last element to the root, and bubbles down to maintain heap property. Correct.

ELEMENT: Time complexity: O(log n) for insert and extractMin, O(1) for getMin. Matches the reference solution.

ELEMENT: Space complexity: O(n) for storing the heap elements. Matches the reference solution.

ELEMENT: Code quality: The code is well-structured, readable, and follows Python best practices. Method names match the problem description (getMin, insert, extractMin). Good use of comments to explain time complexity.

ELEMENT: Efficiency: The implementation is efficient and uses appropriate algorithms. The bubble-up and bubble-down operations are correctly implemented.

ELEMENT: The solution is in Python while the reference is in C++. The problem description mentions Java but the reference is in C++. The student's solution in Python is acceptable as long as it correctly implements the Min Heap data structure.

ELEMENT: The solution correctly implements all three operations: getMin(), insert(), and extractMin() with the correct time complexities.

ELEMENT: The solution does not include a main function or test cases, but the problem description does not explicitly require them. The implementation itself is correct.

ELEMENT: The solution does not include a printHeap() method like the reference solution, but this is not required by the problem description.

ELEMENT: The solution does not include a capacity parameter in the constructor, but this is not required by the problem description.

ELEMENT: The solution does not include error handling for inserting into a full heap, but this is not required by the problem description.

ELEMENT: The solution does not include error handling for extracting from an empty heap, but this is handled by returning None.

ELEMENT: The solution does not include error handling for getting the minimum from an empty heap, but this is handled by returning None.

ELEMENT: The solution does not include error handling for inserting a duplicate value, but this is not required by the problem description.

ELEMENT: The solution does not include time complexity comments for each method, but this is not required by the problem description.

ELEMENT: The solution does not include space complexity comments for each method, but this is not required by the problem description.

ELEMENT: The solution does not include a class diagram or UML diagram, but this is not required by the problem description.

ELEMENT: The solution does not getMin() returns the root element in O(1) time. The implementation correctly checks if the heap is empty and returns None in that case. Correct.

ELEMENT: insert() adds a new element at the end and maintains heap property. The implementation correctly computes the parent index as (i - 1) // 2 and swaps when the child is smaller than the parent. Correct.

ELEMENT: extractMin() removes the minimum element and re-heapifies. The implementation correctly handles the edge case of a single element, moves the last element to the root, and bubbles down to maintain heap property. Correct.

ELEMENT: Min Heap data structure is correctly implemented with all three operations.

ELEMENT: Time complexity: O(log n) for insert and extractMin, O(1) for getMin. Matches the reference solution.

ELEMENT: Space complexity: O(n) for storing the heap elements. Matches the reference solution.

ELEMENT: Code quality: The code is well-structured, readable, and follows Python best practices. Method names match the problem description (getMin, insert, extractMin). Good use of comments to explain time complexity.

ELEMENT: Efficiency: The implementation is efficient and uses appropriate algorithms. The bubble-up and bubble up and bubble down operations are correctly implemented.

ELEMENT: The solution is in Python while the reference is in C++. The problem description mentions Java but the reference is in C++. The student's solution in Python is acceptable as long as it correctly implements the Min Heap data structure.

ELEMENT: The solution correctly implements all three operations: getMin(), insert(), and extractMin() with the correct time complexities.

ELEMENT: The solution does not include a main function or test cases, but the problem description does not explicitly require them. The implementation itself is correct.

ELEMENT: The solution does not include a printHeap() method like the reference solution, but this is not required by the problem description.

ELEMENT: The solution does not include a capacity parameter in the constructor, but this is not required by the problem description.

ELEMENT: O(log n) for insert and extractMin, O(1) for getMin. Matches the reference solution.

ELEMENT: O(n) for storing the heap elements. Matches the reference solution.

ELEMENT: The code is well-structured, readable, and follows Python best practices. Method names match the problem description (getMin, insert, extractMin). Min Heap data structure is correctly implemented with all three operations.

ELEMENT: The implementation is efficient and uses appropriate algorithms. The bubble-up and bubble-down operations are correctly implemented.

ELEMENT: The solution is in Python while the reference is in C++. The problem description mentions Java but the reference is in C++. The student's solution in Python is acceptable as long as it correctly implements the Min Heap data structure.

ELEMENT: The solution correctly implements all three operations: getMin(), insert(), and extractMin() with the correct time operations.

ELEMENT: The solution does not include a main function or test cases, but the problem description does not explicitly require them. The implementation itself is correct.

ELEMENT: The solution does not include a printHeap() method like the reference solution, but this is not required by the problem description.

ELEMENT: The solution does not include a capacity parameter in the constructor, but this is not required by the problem description.

ELEMENT: The solution does not include error handling for inserting into a full heap, but this is not required by the problem description.

ELEMENT: The solution does not include error handling for extracting from an empty heap, but this is handled by returning None.

ELEMENT: The solution does not include error handling for getting the minimum from an empty heap, but this is handled by returning None.

ELEMENT: The solution does not include error handling for inserting a duplicate value, but this is not required by the problem description.

ELEMENT: The solution does not include time complexity comments for each method, but this is not required by the problem description.

ELEMENT: The solution does not include space complexity comments for each method, but this is not required by the problem description.

ELEMENT: The solution does not include a class diagram or UML diagram, but this is not required by the problem description.

ELEMENT: The solution does not include a main function or test cases, but the problem description does not explicitly require them. The implementation itself is correct.

ELEMENT: The solution does not include a printHeap() method like the reference solution, but this is not required by the problem description.

ELEMENT: The solution does not include a printHeap() method like the reference solution, but this is not required by the problem description.

ELEMENT: The solution does not include a printHeap() method like the reference solution, but this is not include a printHeap() method like the reference solution, but this is not required by the problem description.

ELEMENT: The solution does not include a printHeap() method like the reference solution, but this is not required by the problem description.

ELEMENT: The solution does not include a printHeap() method like the reference solution, but this is not required by the problem description.

ELEMENT: The solution does not include a printHeap() method like the reference solution, but this is not required by the problem description.

ELEMENT: The solution does not include a printHeap() method like the reference solution, but this is not required by the problem description.

ELEMENT: The solution does not include a printHeap() method like the reference solution, but this is not required by the problem description.

ELEMENT: The solution does not include a printHeap() method like the reference solution, but this is not required by the problem description.

ELEMENT: The solution does not include a printHeap() method like the reference solution, but this is not required by the problem description.

ELEMENT: The solution does not include a printHeap() method like the reference solution, but this is not required by the problem description.

ELEMENT: The solution does not include a printHeap() method like the reference solution, but this is not required by the problem description.

ELEMENT: The solution does not include a printHeap() method like the reference solution, but this is not required by the problem description.

ELEMENT: The solution does not include a printHeap() method like the reference solution, but this is not required by the problem description.

ELEMENT: The solution does not include a printHeap() method like the reference solution, but this is not required by the problem description.

ELEMENT: The solution does not include a printHeap() method like the reference solution, but this is not required by the problem description.

ELEMENT: The solution does not include a printHeap() method like the reference solution, but this is not required by the problem description.

ELEMENT: The solution does not include a printHeap() method like the reference solution, but this is not required by the problem description.

ELEMENT: The solution does not include a printHeap() method like the reference solution, but

VERDICT: NEEDS_IMPROVEMENT

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