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| #include<bits/stdc++.h> using namespace std; typedef long long ll; const int INF=0x3f3f3f3f; const int MAX_N=1e3+5; const int N = 4e4+5;
# 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 = 20500; 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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