#include <bits/stdc++.h>
using namespace std;
#define ll long long
#define ld double
#define oo 1234567890

mt19937 rng(chrono::steady_clock::now().time_since_epoch().count());//theres also mt19937_64 for 64 bit random integers

int rollDice(int mn, int mx)
{
    return uniform_int_distribution<int>(mn, mx)(rng);
}

int noise(int bit)
{
    int dice1 = rollDice(0,9);
    int dice2 = rollDice(0,9);
    int dice3 = rollDice(0,9);

    return 100*(dice1<3 ? !bit : bit) + 10*(dice2<3 ? !bit : bit) + (dice2<3 ? !bit : bit);
}

ld MonteCarlo(int rep)
{
    int one = 0, zero = 0;
    while(rep--)
    {
        int dice = rollDice(0,9);
        int send = (dice < 3 ? 1 : 0);
        int rec = noise(send);

        if(rec==11)
        {
            if(send)one++;
            else zero++;
        }
    }

    cout<<"Kiek kartu pasirode 011: "<<(one+zero)<<"\n";
    cout<<"Kiek kartu is ju siuntem 1: "<<one<<"\n";
    return 1.0*one/(one+zero);
}

int main()
{
    ios::sync_with_stdio(0);cin.tie(0);cout.tie(0);
    ld p0 = 0.7;
    ld fail = 0.3;

    //P(1 | 011) = P(011 | 1) * P(1) / P(011)
    ld magicNumber = 1./8;
    ld magicNumber2 = p0*(fail*fail*(1-fail)) + (1-p0)*fail*(1-fail)*(1-fail);
    ld res1 = fail*(1-fail)*(1-fail)*(1-p0) / (magicNumber);
    ld res2 = fail*(1-fail)*(1-fail)*(1-p0) / (magicNumber2);

    cout<<setprecision(3)<<fixed<<res1<<" "<<res2<<"\n";
    cout<<"Actual answer (with HP): "<<MonteCarlo(100000000)<<"\n";
}