Completed DP-1

[ManasviReddy25]

No description provided.

[super30admin]

Coin Change (Problem1.py)

Your solution is excellent! You correctly identified and implemented the optimal bottom-up dynamic programming approach, which is significantly more efficient than the naive recursive approach shown in the reference solution.

Strengths:

1. Optimal Time Complexity: Your O(m*n) solution is much better than the reference's O(2^(m+n)) exponential approach.
2. Optimal Space Complexity: Your O(n) space using a 1D array is efficient.
3. Excellent Documentation: Your comments are thorough and clearly explain the logic, which is great for learning and code maintainability.
4. Correct Logic: The DP transition and base case are correctly implemented.

Areas for Improvement:

1. Magic Number: Using 99999 as a magic number for infinity is a code smell. Consider using float('inf') for clarity, or use amount + 1 as the maximum possible coins needed (since with denomination 1, you'd need at most amount coins).
2. Variable Naming: Renaming amount to n is a bit confusing since n typically refers to the number of coins in this problem context. Consider keeping the original name or using a more descriptive name like target.
3. Edge Case: While not strictly necessary, you could add a quick check at the beginning: if amount == 0, return 0 immediately.

Additional Notes:

• Your solution is actually better than the reference solution! The reference uses an inefficient recursive approach without memoization, which would TLE on larger inputs.
• The bottom-up DP approach you used is the standard optimal solution for this problem.

VERDICT: PASS

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House Robber (Problem2.py)

EHEADBACK:
[Constructive feedback for the full solution]

VERDICT: PASS