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February 4th, 2017, 06:22 PM   #1
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A number is given. That number is appended to itself n times (n can be as large as 10^10). I need to find the number thus formed modulo m. Let the number be 12 and n be 4, so number thus formed is 12121212. Let us find this number modulo 11, then the answer is 4.

I tried to find the pattern like if the number is 12, I appended 12 again and took modulo with the given number (m) and went on appending and finding the modulo. For different m, I got different patterns. Sometimes it is alternate remainder and zero or sometimes 2*remainder kind of thing. But I could not find something concrete on which I can write an algorithm.

Last edited by skipjack; February 6th, 2017 at 02:12 AM.
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February 6th, 2017, 03:01 AM   #2
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This thread is locked for a week as its author has pointed out that it is part of a problem in an open programming contest.
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