algoadvance

You are given two integers, num and t. The task is to find the maximum achievable number by changing num at most t times by either adding 1 or subtracting 1 to/from it.

Clarifying Questions

1. Can t be negative?
   • No, t will be a non-negative integer.
2. Are there any constraints on the values of num and t?
   • The problem statement does not specify particular constraints, but typically, both would be within reasonable integer ranges for interview problems.
3. Is there a specific range of inputs we should consider?
   • For a coding interview, you’d commonly expect num to be within the range of Python’s integer capabilities, and t is usually a small to moderately large non-negative integer.

Strategy

1. Understanding the Problem: If we are allowed to change the number t times, to find the maximum achievable number, we simply add 1 to num t times.

2. Example:
   • If num = 5 and t = 3, the maximum achievable number would be 5 + 3 = 8.
3. Approach:
   • Compute the result by adding t to num.

Code

Here’s the Python function to achieve this:

def find_max_achievable_number(num: int, t: int) -> int:
    return num + t

# Example Usage
num = 5
t = 3
print(find_max_achievable_number(num, t))  # Output: 8

Time Complexity

• The time complexity of the solution is O(1) because the computation involves a constant-time addition operation.
• The space complexity is also O(1) as we are not using any additional space that scales with input size.

Feel free to ask more questions or give another problem to solve!

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