Find the smallest number that consist of only number 1's (e.g. 11111111111) which satisfy a given divisor and remainder. Then return the sum of its digits.
Example:
remainder = 7 divisor = 12
then dividend = 1111 and the resulting sum is 4.
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is there any particular mathematical theory regarding this?..i cant find my way for large numbers.
Hint: For very large numbers made of many 1's, constructing the full number (like '1111111111...') and converting it using str2double will fail.
Instead, use modular arithmetic directly.