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Leetcode 2769. Find the Maximum Achievable Number

Problem Statement

You are given two integers num1 and num2. The task is to return the maximum achievable number by performing a series of operations on num1. Each operation consists of adding or subtracting num2 from num1.

Clarifying Questions

  1. Is there a limit on the number of operations that can be performed?
    • No explicit limits are given, but it may be assumed to continue operations until achieving the maximum number.
  2. Are negative results allowed?
    • It seems the focus is on finding the maximum achievable number, therefore we should avoid negative results, if this results in a higher value.
  3. Can both positive and negative values for num1 and num2 be used?
    • Yes, all integer values for num1 and num2 are valid inputs.

Strategy

  1. Since there’s no limit on the number of operations, the maximum achievable number will be influenced by continuously adding num2 to num1 while it increases the value.
  2. Instead of an iterative approach, because addition is linear and unbounded, the problem might actually require rethinking regarding constraints considering time complexity.

Code

The simplest approach, given the constraints, is the following:

#include <iostream>
#include <limits.h>

int maxAchievableNumber(int num1, int num2) {
    if (num1 >= 0 && num2 > 0) {
        // Infinity in positive direction
        return INT_MAX;
    } else if (num1 < 0 && num2 > 0) {
        // Subtracting num2 makes num1 go negative
        return num1;
    } else if (num2 == 0) {
        // num2 being zero means num1 stays the same
        return num1;
    } else {
        // In case num2 is negative, adding it will decrease the number
        // We need to check the direction in which we approach max value
        return num1;
    }
}

int main() {
    int num1 = 10;
    int num2 = 2;
    std::cout << "Maximum Achievable Number: " << maxAchievableNumber(num1, num2) << std::endl;
    return 0;
}

Time Complexity

This basic code ensures that the problem is addressed considering most typical operations and constraints within simple integer scenarios.

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