# define FOR(i, a, b) for(int i = a; i <= b; i++)
# define _FOR(i, a, b) for(int i = a; i >= b; i--)
struct BigInt
{
static const int M = 1000;
int num[M + 10], len;
BigInt() { clean(); }
void clean(){
memset(num, 0, sizeof(num));
len = 1;
}
void read(){
char str[M + 10];
scanf("%s", str);
len = strlen(str);
FOR(i, 1, len)
num[i] = str[len - i] - '0';
}
void write(){
_FOR(i, len, 1)
printf("%d", num[i]);
puts("");
}
void itoBig(int x){
clean();
while(x != 0){
num[len++] = x % 10;
x /= 10;
}
if(len != 1) len--;
}
bool operator < (const BigInt &cmp) const {
if(len != cmp.len) return len < cmp.len;
_FOR(i, len, 1)
if(num[i] != cmp.num[i]) return num[i] < cmp.num[i];
return false;
}
bool operator > (const BigInt &cmp) const { return cmp < *this; }
bool operator <= (const BigInt &cmp) const { return !(cmp < *this); }
bool operator != (const BigInt &cmp) const { return cmp < *this || *this < cmp; }
bool operator == (const BigInt &cmp) const { return !(cmp < *this || *this < cmp); }
BigInt operator + (const BigInt &A) const {
BigInt S;
S.len = max(len, A.len);
FOR(i, 1, S.len){
S.num[i] += num[i] + A.num[i];
if(S.num[i] >= 10){
S.num[i] -= 10;
S.num[i + 1]++;
}
}
while(S.num[S.len + 1]) S.len++;
return S;
}
BigInt operator - (const BigInt &A) const {
BigInt S;
S.len = max(len, A.len);
FOR(i, 1, S.len){
S.num[i] += num[i] - A.num[i];
if(S.num[i] < 0){
S.num[i] += 10;
S.num[i + 1]--;
}
}
while(!S.num[S.len] && S.len > 1) S.len--;
return S;
}
BigInt operator * (const BigInt &A) const {
BigInt S;
if((A.len == 1 && A.num[1] == 0) || (len == 1 && num[1] == 0)) return S;
S.len = A.len + len - 1;
FOR(i, 1, len)
FOR(j, 1, A.len){
S.num[i + j - 1] += num[i] * A.num[j];
S.num[i + j] += S.num[i + j - 1] / 10;
S.num[i + j - 1] %= 10;
}
while(S.num[S.len + 1]) S.len++;
return S;
}
BigInt operator / (const BigInt &A) const {
BigInt S;
if((A.len == 1 && A.num[1] == 0) || (len == 1 && num[1] == 0)) return S;
BigInt R, N;
S.len = 0;
_FOR(i, len, 1){
N.itoBig(10);
R = R * N;
N.itoBig(num[i]);
R = R + N;
int flag = -1;
FOR(j, 1, 10){
N.itoBig(j);
if(N * A > R){
flag = j - 1;
break;
}
}
S.num[++S.len] = flag;
N.itoBig(flag);
R = R - N * A;
}
FOR(i, 1, S.len / 2) swap(S.num[i], S.num[len - i + 1]);
while(!S.num[S.len] && S.len > 1) S.len--;
return S;
}
BigInt operator % (const BigInt &A) const {
BigInt S;
BigInt P = *this / A;
S = *this - P * A;
return S;
}
};
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