struct BigInt {
const static int BASE = 1000000000;
const static int DLEN = 9;
vector<int> a;
int len;
BigInt() {
a.resize(4);
len = 1;
}
BigInt(int v) {
a.resize(4);
len = 0;
do {
a[len++] = v % BASE;
v /= BASE;
} while(v);
}
BigInt(const char *s) {
int L = strlen(s);
len = L / DLEN;
if(L % DLEN)
len++;
a.resize(len + 1);
int id = 0;
for(int i = L - 1; i >= 0; i -= DLEN) {
int t = 0;
int k = i - DLEN + 1;
if(k < 0)
k = 0;
for(int j = k; j <= i; j++)
t = t * 10 + s[j] - '0';
a[id++] = t;
}
}
BigInt operator +(const BigInt &b)const {
BigInt res;
res.len = max(len, b.len);
res.a.resize(res.len + 1);
for(int i = 0; i < res.len; i++) {
res.a[i] += ((i < len) ? a[i] : 0) + ((i < b.len) ? b.a[i] : 0);
res.a[i + 1] += res.a[i] / BASE;
res.a[i] %= BASE;
}
if(res.a[res.len] > 0)
res.len++;
return res;
}
BigInt operator *(const BigInt &b)const {
//高精乘高精,考虑用FFT优化
BigInt res;
res.a.resize(len + b.len);
for(int i = 0; i < len; i++) {
int up = 0;
for(int j = 0; j < b.len; j++) {
ll temp = 1ll * a[i] * b.a[j] + res.a[i + j] + up;
res.a[i + j] = temp % BASE;
up = temp / BASE;
}
if(up != 0)
res.a[i + b.len] = up;
}
res.len = len + b.len;
while(res.a[res.len - 1] == 0 && res.len > 1)
res.len--;
return res;
}
BigInt operator *(const int &b)const {
//高精乘低精
BigInt res;
res.a.resize(len + 1);
for(int i = 0; i < len; i++) {
int up = 0;
ll temp = 1ll * a[i] * b + res.a[i] + up;
res.a[i] = temp % BASE;
up = temp / BASE;
if(up != 0)
res.a[i + 1] = up;
}
res.len = len + 1;
while(res.a[res.len - 1] == 0 && res.len > 1)
res.len--;
return res;
}
bool operator <(const BigInt &b)const {
if(len != b.len)
return len < b.len;
else {
for(int ln = len - 1; ln >= 0; ln--) {
if(a[ln] != b.a[ln])
return a[ln] < b.a[ln];
}
return false;
}
}
void output() {
printf("%d", a[len - 1]);
for(int i = len - 2; i >= 0 ; i--)
printf("%09d", a[i]);
printf("\n");
}
};