bool is_julian(int year) {
    return (year % 4 == 0);
}

bool is_gregorian(int year) {
    return (year % 4 == 0 && year % 100 != 0) || (year % 400 == 0);
}

string additional_zero(int n) {
    return (n < 10 ? "0" + to_string(n) : to_string(n));
}

string dayOfProgrammer(int year) {
    vector<int> month_days = {31, 28, 31, 30, 31, 30, 31, 31, 30, 31, 30, 31};
    int month = 0;
    int year_day = 256;
    
    if (year == 1918) {
        year_day += 13;
    } else if (year >= 1919) {
        if (is_gregorian(year)) {
            month_days[1] = 29;
        }
    } else {
        if (is_julian(year)) {
          month_days[1] = 29;
        }
    }

    while (year_day > month_days[month]) {
        year_day -= month_days[month];
        month++;
    }
    month += 1;

    return additional_zero(year_day) + "." + additional_zero(month) + "." + to_string(year);
}