Solution 3 for Scaler Topics Fortnightly Contest - 27
Faulty Calculator
This article is part of the Scaler Topics Fortnightly Contest - 27
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For each digit, we will count how many times it has changed.
The number of changes for the first digit (the lowest) is calculated using the formula A−B.
The number of changes for the second digit is calculated by the formula ⌊A/10⌋−⌊B/10⌋. That is, it is equivalent to the number of first-digit changes for numbers from ⌊B/10⌋ to ⌊A/10⌋.
To calculate the number of changes for the remaining digits, you need to apply similar reasoning with dividing the numbers by 10.
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