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factorial cpp

#include <iostream>
#include <vector>

#define BASE ((unsigned long long int)1<<32)
#define BASEMASK (BASE - 1)

void compute(std::vector<unsigned long long int>& number, int N)
{
 unsigned long long int carry, res;
 number.push_back(1);
 for (int n = 2; n <= N; ++n) {
  carry = 0;
  for (int i = 0; i < number.size(); ++i) {
   res = number[i] * n + carry;
   carry = res >> 32;
   number[i] = res & BASEMASK;
  }
  while (carry) {
   number.push_back(carry & BASEMASK);
   carry >>= 32;
  }
 }

}

int main()
{
 std::vector<unsigned long long int> number;
 int n;
 std::cin >> n;
 compute(number, n); 
 return 0;
}

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