#include <vector>
#include <iostream>
 
unsigned factorial(unsigned index) {
    static std::vector<unsigned> cache(2, 1);
    if (index >= cache.size())
        cache.push_back(factorial(index-1)*index);
    return cache[index];
}
 
int main() {
   std::cout << factorial(0) << '\n';
   std::cout << factorial(1) << '\n';
   std::cout << factorial(2) << '\n';
   std::cout << factorial(3) << '\n';
   std::cout << factorial(5) << '\n';
   std::cout << factorial(33) << '\n';
}

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