struct BigInteger
{
static const int BASE = 100000000;
static const int WIDTH = 8;
vector<int> s;
BigInteger(long long num = 0)
{
*this = num;
}
BigInteger operator=(long long num)
{
s.clear();
do {
s.push_back(num%BASE);
num /= BASE;
} while (num > 0);
return *this;
}
BigInteger operator=(const string& str)
{
s.clear();
int x;
int len=(str.length() - 1)/WIDTH + 1;
for (int i = 0;i < len;i++)
{
int end = str.length() - i*WIDTH;
int start = max(0, end - WIDTH);
sscanf(str.substr(start, end - start).c_str(), "%d", &x);
s.push_back(x);
}
return *this;
}
BigInteger operator+(const BigInteger& b) const {
BigInteger c;
c.s.clear();
for (int i = 0,g = 0;;i++)
{
if (g == 0 && i >= s.size() && i >= b.s.size())
break;
int x = g;
if (i < s.size())
x += s[i];
if (i < b.s.size())
x += b.s[i];
c.s.push_back(x%BASE);
g = x / BASE;
}
return c;
}
BigInteger operator +=(const BigInteger& b)
{
*this = *this + b;
return *this;
}
bool operator<(const BigInteger& b)const
{
if (s.size() != b.s.size())
return s.size() < b.s.size();
for (int i = s.size() - 1;i >= 0;i--)
if (s[i] != b.s[i])
return s[i] < b.s[i];
return false;
}
bool operator >(const BigInteger& b)const { return b < *this; }
bool operator <=(const BigInteger& b)const { return !(b < *this); }
bool operator >=(const BigInteger& b)const { return !(*this < b); }
bool operator !=(const BigInteger& b)const { return b < *this || *this < b; }
bool operator ==(const BigInteger& b)const { return !(b < *this) && !(*this < b); }
};
ostream& operator << (ostream &out, const BigInteger& x)
{
out << x.s.back();
for (int i = x.s.size() - 2;i >= 0;i--)
{
char buf[20];
sprintf(buf, "%08d", x.s[i]);
for (int j = 0;j < strlen(buf);j++)
out << buf[j];
}
return out;
}
istream& operator >> (istream &in, BigInteger& x)
{
string s;
if (!(in >> s))
return in;
x = s;
return in;
}