How to calculate factorial of larger integer numbers ( i.e. numbers greater than 20 ) using C/C++ using high precision arithmetic ?
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Codeforces (c) Copyright 2010-2024 Михаил Мирзаянов
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Время на сервере: 26.06.2024 21:22:47 (h1).
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Implement big numbers. Like BigInteger in Java.
Is there any algorithm can do this in O(logN) or less than O(N) ?
Factorial grows exponentially. So you need at least O(n) time and memory to calculate it precisely.
Also a^N grows exponentially but we can calculate it in O(logN)
You can calculate it fast unprecisely: either modulo some number or in floating-point type. Anyway, I haven't heard about any fancy factorial calculation algorithms that use less than O(n) arithmetic operations.