Why does my dynamic programming solution give the wrong answer for large test cases?
Wrong answers often occur due to not initializing base cases or incorrectly handling state transitions in the DP table.
Dynamic programming (DP) solutions can give wrong answers for large test cases if base cases are not initialized correctly, or if there are mistakes in state transitions. DP solutions rely heavily on breaking problems into subproblems, so if you misdefine a base case, the entire solution can break down. Common mistakes include off-by-one errors when initializing arrays or incorrectly handling transitions between states. Another issue might be integer overflow in your DP table when handling large results. Always test your DP solutions with edge cases and large inputs to ensure that the state transitions are accurate. Verifying the correctness of the recurrence relation and making sure your base cases are well-defined is critical for large test cases.
