sentienelsev.cpp

#include <random>
#include <iostream>
#include <algorithm>
#include <array>

constexpr int trials = 2000000000;

int main()
{
    constexpr std::array<int, 13> boost_value = {
        0, // on a 0, no boost
        1, // 1
        1, // 2
        1, // 3
        2, // 4
        2, // 5
        2, // 6
        2, // 7
        3, // 8
        3, // 9
        3, // 10
        3, // 11
        4  // 12
    };

    std::random_device r;
    std::mt19937_64 rand(r());

    std::uniform_int_distribution<int> d8(1, 8);
    std::uniform_int_distribution<int> d10(1, 10);
    std::uniform_int_distribution<int> d12(1, 12);

    double running_average = 0;
    for (int i = 0; i < trials; i++)
    {
        running_average = ((running_average * (i+1)) + boost_value[std::max( { d8(rand), d10(rand), d12(rand) })]) / (i+2);
    }

    std::cout << "Average value over " << trials << " rolls is a +" << running_average << " boost.\n";

}