Problem 2463. Sum of Dividend Digits

Created by Omer

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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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Last Solution submitted on Jan 03, 2026

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Asif Newaz on 13 Mar 2020

is there any particular mathematical theory regarding this?..i cant find my way for large numbers.

Asif Newaz on 3 Jun 2025

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.

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Problem 2463. Sum of Dividend Digits

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Problem 2463. Sum of Dividend Digits

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