結果
問題 | No.243 出席番号(2) |
ユーザー |
![]() |
提出日時 | 2019-11-11 23:45:16 |
言語 | C++14 (gcc 8.3.0) |
結果 |
AC
|
実行時間 | 203 ms |
コード長 | 4,579 Byte |
コンパイル時間 | 1,502 ms |
使用メモリ | 8,924 KB |
最終ジャッジ日時 | 2019-11-11 23:45:21 |
テストケース
テストケース表示入力 | 結果 | 実行時間 使用メモリ |
---|---|---|
sample1.txt | AC | 3 ms
6,876 KB |
sample2.txt | AC | 3 ms
6,872 KB |
sample3.txt | AC | 4 ms
8,916 KB |
test1.txt | AC | 12 ms
8,916 KB |
test2.txt | AC | 12 ms
6,876 KB |
test3.txt | AC | 11 ms
6,876 KB |
test4.txt | AC | 12 ms
6,876 KB |
test5.txt | AC | 11 ms
6,876 KB |
test6.txt | AC | 33 ms
8,920 KB |
test7.txt | AC | 34 ms
6,876 KB |
test8.txt | AC | 33 ms
6,872 KB |
test9.txt | AC | 33 ms
6,876 KB |
test10.txt | AC | 34 ms
6,876 KB |
test11.txt | AC | 69 ms
6,872 KB |
test12.txt | AC | 69 ms
8,916 KB |
test13.txt | AC | 70 ms
6,872 KB |
test14.txt | AC | 69 ms
6,872 KB |
test15.txt | AC | 69 ms
6,876 KB |
test16.txt | AC | 119 ms
6,876 KB |
test17.txt | AC | 127 ms
6,872 KB |
test18.txt | AC | 140 ms
6,876 KB |
test19.txt | AC | 120 ms
8,916 KB |
test20.txt | AC | 119 ms
6,872 KB |
test21.txt | AC | 186 ms
8,920 KB |
test22.txt | AC | 184 ms
6,872 KB |
test23.txt | AC | 184 ms
6,876 KB |
test24.txt | AC | 203 ms
6,872 KB |
test25.txt | AC | 201 ms
6,876 KB |
test26.txt | AC | 4 ms
8,924 KB |
test27.txt | AC | 3 ms
6,872 KB |
test28.txt | AC | 3 ms
6,876 KB |
test29.txt | AC | 3 ms
6,872 KB |
test30.txt | AC | 3 ms
6,876 KB |
ソースコード
#include <bits/stdc++.h> using namespace std; typedef long long signed int LL; typedef long long unsigned int LU; #define incID(i, l, r) for(LL i = (l) ; i < (r); ++i) #define incII(i, l, r) for(LL i = (l) ; i <= (r); ++i) #define decID(i, l, r) for(LL i = (r) - 1; i >= (l); --i) #define decII(i, l, r) for(LL i = (r) ; i >= (l); --i) #define inc(i, n) incID(i, 0, n) #define inc1(i, n) incII(i, 1, n) #define dec(i, n) decID(i, 0, n) #define dec1(i, n) decII(i, 1, n) #define inID(v, l, r) ((l) <= (v) && (v) < (r)) #define inII(v, l, r) ((l) <= (v) && (v) <= (r)) #define PB push_back #define EB emplace_back #define MP make_pair #define FI first #define SE second #define ALL(v) v.begin(), v.end() #define RALL(v) v.rbegin(), v.rend() template<typename T> bool setmin (T & a, T b) { if(b < a) { a = b; return true; } else { return false; } } template<typename T> bool setmax (T & a, T b) { if(b > a) { a = b; return true; } else { return false; } } template<typename T> bool setmineq(T & a, T b) { if(b <= a) { a = b; return true; } else { return false; } } template<typename T> bool setmaxeq(T & a, T b) { if(b >= a) { a = b; return true; } else { return false; } } LL mo(LL a, LL b) { assert(b > 0); a %= b; if(a < 0) { a += b; } return a; } LL fl(LL a, LL b) { assert(b > 0); return (a > 0 ? a / b : (a - b + 1) / b); } LL ce(LL a, LL b) { assert(b > 0); return (a < 0 ? a / b : (a + b - 1) / b); } template<typename T> T gcd(T a, T b) { return (b == 0 ? a : gcd(b, a % b)); } template<typename T> T lcm(T a, T b) { return a / gcd(a, b) * b; } #define bit(b, i) (((b) >> (i)) & 1) #define BC __builtin_popcountll #define SC static_cast #define SI(v) SC<int>(v.size()) #define SL(v) SC<LL >(v.size()) #define RF(e, v) for(auto & e: v) #define ef else if #define UR assert(false) // ---- ---- template<LL M> class ModInt { private: LL v = 0; public: ModInt() { } ModInt(LL vv) { setval(vv); } ModInt & setval(LL vv) { v = vv % M; if(v < 0) { v += M; } return (*this); } LL getval() const { return v; } ModInt & operator+=(const ModInt & b) { return setval(v + b.v); } ModInt & operator-=(const ModInt & b) { return setval(v - b.v); } ModInt & operator*=(const ModInt & b) { return setval(v * b.v); } ModInt & operator/=(const ModInt & b) { return setval(v * b.inv()); } ModInt & operator^=( LU b) { return setval(ex(v, b)); } ModInt operator+ ( ) const { return ModInt(+v); } ModInt operator- ( ) const { return ModInt(-v); } ModInt operator+ (const ModInt & b) const { return ModInt(v + b.v); } ModInt operator- (const ModInt & b) const { return ModInt(v - b.v); } ModInt operator* (const ModInt & b) const { return ModInt(v * b.v); } ModInt operator/ (const ModInt & b) const { return ModInt(v * b.inv()); } ModInt operator^ ( LU b) const { return ModInt(ex(v, b)); } LL inv() const { LL x = (ex_gcd(v, M).FI + M) % M; assert(v * x % M == 1); return x; } LL ex(LL a, LU b) const { LL D = 64, x[64], y = 1; inc(i, D) { if((b >> i) == 0) { D = i; break; } } inc(i, D) { x[i] = (i == 0 ? a : x[i - 1] * x[i - 1]) % M; } inc(i, D) { if((b >> i) & 1) { (y *= x[i]) %= M; } } return y; } pair<LL, LL> ex_gcd(LL a, LL b) const { if(b == 0) { return MP(1, 0); } auto p = ex_gcd(b, a % b); return MP(p.SE, p.FI - (a / b) * p.SE); } }; template<LL M> ModInt<M> operator+(LL a, const ModInt<M> & b) { return b + a; } template<LL M> ModInt<M> operator-(LL a, const ModInt<M> & b) { return -b + a; } template<LL M> ModInt<M> operator*(LL a, const ModInt<M> & b) { return b * a; } template<LL M> ModInt<M> operator/(LL a, const ModInt<M> & b) { return a * b.inv(); } template<LL M> istream & operator>>(istream & is, ModInt<M> & b) { LL v; is >> v; b.setval(v); return is; } template<LL M> ostream & operator<<(ostream & os, const ModInt<M> & b) { return (os << b.getval()); } // ---- ---- typedef ModInt<1'000'000'007> MI; int main() { int n; cin >> n; vector<MI> b(n); inc(i, n) { int a; cin >> a; if(a < n) { b[a] += 1; } } vector<MI> f(n + 1), r(n + 1), x(n + 1), y(n + 1); inc(i, n + 1) { f[i] = (i == 0 ? 1 : f[i - 1] * i ); } dec(i, n + 1) { r[i] = (i == n ? 1 / f[n] : r[i + 1] * (i + 1)); } auto comb = [&](auto a, auto b) { return f[a] * r[b] * r[a - b]; }; x[0] = 1; inc(i, n) { dec(j, i + 1) { x[j + 1] += x[j] * b[i]; } } dec(i, n + 1) { y[i] = f[n - i] * x[i]; incII(j, i + 1, n) { y[i] -= comb(j, i) * y[j]; } } cout << y[0] << endl; return 0; }