Incorrect Implementation in Min steps to 1.cpp

[Navneet1206]

Issue Report: Incorrect Implementation in Min steps to 1.cpp

Repository Link

Data Structures Repository

Description

Hello,

I hope this message finds you well. I have been reviewing the code in the Min steps to 1.cpp file within your Data Structures repository. I noticed a few issues that may lead to incorrect results when calculating the minimum steps required to reduce a number ( n ) to 1.

Issues Identified

1. Base Case Handling: The base case for ( n = 1 ) is correctly implemented, but there is no proper handling for values of ( n < 1 ). The function currently returns inf, which may not be the best approach.

2. Memoization: The memoization vector dp is initialized but not effectively utilized. It would be beneficial to check if a computed result exists before making recursive calls.

3. Invalid Input Handling: The function does not handle invalid inputs gracefully. It would be helpful to add a check for negative or zero values and return an appropriate message.

4. Use of Constants: Instead of using an arbitrary large number for infinity, consider using INT_MAX from <limits.h> for better readability and understanding.

Suggested Changes

Here’s a brief outline of the changes I recommend:

• Implement a check for invalid input values at the start of the countStepsToOne function.
• Before making recursive calls in countStepsToOneHelper, check if the result has already been computed and stored in dp.
• Replace the arbitrary large number with INT_MAX for clarity.

Example Code Snippet

Here’s a modified version of the critical parts of your code:

if (n < 1) {
    return INT_MAX; // Handle invalid input
}

if (dp[n] != -1) {
    return dp[n]; // Return cached result
}