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QOJ

IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#870225#8622. London Undergrounducup-team087#AC ✓226ms4224kbC++146.4kb2025-01-25 15:24:112025-01-25 15:24:19

Judging History

你现在查看的是最新测评结果

  • [2025-01-25 15:24:19]
  • 评测
  • 测评结果:AC
  • 用时:226ms
  • 内存:4224kb
  • [2025-01-25 15:24:11]
  • 提交

answer

#include <cassert>
#include <cmath>
#include <cstdint>
#include <cstdio>
#include <cstdlib>
#include <cstring>
#include <algorithm>
#include <bitset>
#include <complex>
#include <deque>
#include <functional>
#include <iostream>
#include <limits>
#include <map>
#include <numeric>
#include <queue>
#include <random>
#include <set>
#include <sstream>
#include <string>
#include <unordered_map>
#include <unordered_set>
#include <utility>
#include <vector>

using namespace std;

using Int = long long;

template <class T1, class T2> ostream &operator<<(ostream &os, const pair<T1, T2> &a) { return os << "(" << a.first << ", " << a.second << ")"; };
template <class T> ostream &operator<<(ostream &os, const vector<T> &as) { const int sz = as.size(); os << "["; for (int i = 0; i < sz; ++i) { if (i >= 256) { os << ", ..."; break; } if (i > 0) { os << ", "; } os << as[i]; } return os << "]"; }
template <class T> void pv(T a, T b) { for (T i = a; i != b; ++i) cerr << *i << " "; cerr << endl; }
template <class T> bool chmin(T &t, const T &f) { if (t > f) { t = f; return true; } return false; }
template <class T> bool chmax(T &t, const T &f) { if (t < f) { t = f; return true; } return false; }
#define COLOR(s) ("\x1b[" s "m")

////////////////////////////////////////////////////////////////////////////////
template <unsigned M_> struct ModInt {
  static constexpr unsigned M = M_;
  unsigned x;
  constexpr ModInt() : x(0U) {}
  constexpr ModInt(unsigned x_) : x(x_ % M) {}
  constexpr ModInt(unsigned long long x_) : x(x_ % M) {}
  constexpr ModInt(int x_) : x(((x_ %= static_cast<int>(M)) < 0) ? (x_ + static_cast<int>(M)) : x_) {}
  constexpr ModInt(long long x_) : x(((x_ %= static_cast<long long>(M)) < 0) ? (x_ + static_cast<long long>(M)) : x_) {}
  ModInt &operator+=(const ModInt &a) { x = ((x += a.x) >= M) ? (x - M) : x; return *this; }
  ModInt &operator-=(const ModInt &a) { x = ((x -= a.x) >= M) ? (x + M) : x; return *this; }
  ModInt &operator*=(const ModInt &a) { x = (static_cast<unsigned long long>(x) * a.x) % M; return *this; }
  ModInt &operator/=(const ModInt &a) { return (*this *= a.inv()); }
  ModInt pow(long long e) const {
    if (e < 0) return inv().pow(-e);
    ModInt a = *this, b = 1U; for (; e; e >>= 1) { if (e & 1) b *= a; a *= a; } return b;
  }
  ModInt inv() const {
    unsigned a = M, b = x; int y = 0, z = 1;
    for (; b; ) { const unsigned q = a / b; const unsigned c = a - q * b; a = b; b = c; const int w = y - static_cast<int>(q) * z; y = z; z = w; }
    assert(a == 1U); return ModInt(y);
  }
  ModInt operator+() const { return *this; }
  ModInt operator-() const { ModInt a; a.x = x ? (M - x) : 0U; return a; }
  ModInt operator+(const ModInt &a) const { return (ModInt(*this) += a); }
  ModInt operator-(const ModInt &a) const { return (ModInt(*this) -= a); }
  ModInt operator*(const ModInt &a) const { return (ModInt(*this) *= a); }
  ModInt operator/(const ModInt &a) const { return (ModInt(*this) /= a); }
  template <class T> friend ModInt operator+(T a, const ModInt &b) { return (ModInt(a) += b); }
  template <class T> friend ModInt operator-(T a, const ModInt &b) { return (ModInt(a) -= b); }
  template <class T> friend ModInt operator*(T a, const ModInt &b) { return (ModInt(a) *= b); }
  template <class T> friend ModInt operator/(T a, const ModInt &b) { return (ModInt(a) /= b); }
  explicit operator bool() const { return x; }
  bool operator==(const ModInt &a) const { return (x == a.x); }
  bool operator!=(const ModInt &a) const { return (x != a.x); }
  friend std::ostream &operator<<(std::ostream &os, const ModInt &a) { return os << a.x; }
};
////////////////////////////////////////////////////////////////////////////////

constexpr unsigned MO = 998244353;
using Mint = ModInt<MO>;


constexpr int N = 426;
constexpr int M = 505;
// constexpr int N = 4;
// constexpr int M = 4;

int id;
map<string, int> tr;
char buf[1010];
int rd() {
  scanf("%s", buf);
  if (!tr.count(buf)) tr[buf] = id++;
  return tr[buf];
}


Mint off[N], on[N];

using Bi = bitset<N>;
Bi adj[N];
void ae(int u, int v) {
  assert(0 <= u); assert(u < N);
  assert(0 <= v); assert(v < N);
  assert(u != v);
  adj[u].set(v);
  adj[v].set(u);
}
Mint rec(Bi p);
Mint recConnected(Bi p);
Mint run() {
  Bi all;
  all.set();
  return rec(all);
}
Mint rec(Bi p) {
  Mint ans = 1;
  for (; ; ) {
    const int u = p._Find_first();
    if (u >= N) break;
    Bi q, r;
    q.set(u);
    for (; ; ) {
      const int v = (q & ~r)._Find_first();
      if (v >= N) break;
      q |= adj[v] & p;
      r.set(v);
    }
    ans *= recConnected(q);
    p &= ~q;
  }
  return ans;
}
Int counter;
Mint recConnected(Bi p) {
// cerr<<"[recConnected] ";
// for(int u=0;u<N;++u)cerr<<off[u]<<","<<on[u]<<" ";
// for(int u=0;u<N;++u)cerr<<p[u];cerr<<endl;
++counter;
  const int n = p.count();
  if (n == 0) return 1;
  if (n == 1) {
    const int u = p._Find_first();
    return off[u] + on[u];
  }
  int maxDeg = -1, um = -1;
  for (Bi pp = p; ; ) {
    const int u = pp._Find_first();
    if (u >= N) break;
    pp.reset(u);
    const int deg = (adj[u] & p).count();
    if (deg == 1) {
      const int v = (adj[u] & p)._Find_first();
// cerr<<"  u = "<<u<<", v = "<<v<<endl;
      const Mint offSave = off[v];
      const Mint onSave = on[v];
      off[v] *= (off[u] + on[u]);
      on[v] *= off[u];
      p.reset(u);
      const Mint res = recConnected(p);
      off[v] = offSave;
      on[v] = onSave;
      return res;
    }
    if (maxDeg < deg) {
      maxDeg = deg;
      um = u;
    }
  }
  p.reset(um);
  Mint ret = off[um] * rec(p);
  Mint prod = on[um];
  Bi q = p & adj[um];
  for (Bi qq = q; ; ) {
    const int v = qq._Find_first();
    if (v >= N) break;
    prod *= off[v];
    qq.reset(v);
  }
  ret += prod * rec(p & ~adj[um]);
  return ret;
}


int main() {
  scanf("%*d");
  vector<int> A(M), B(M);
  for (int i = 0; i < M; ++i) {
    A[i] = rd();
    B[i] = rd();
  }
  assert(id == N);
  int K;
  scanf("%d", &K);
  vector<int> X(K);
  for (int k = 0; k < K; ++k) {
    X[k] = rd();
  }
  assert(id == N);
  
  fill(off, off + N, 1);
  fill(on, on + N, 1);
  for (int k = 0; k < K; ++k) {
    off[X[k]] = 0;
  }
  
  for (int i = 0; i < M; ++i) {
    ae(A[i], B[i]);
  }
  const Mint ans = run();
cerr<<"counter = "<<counter<<endl;
  printf("%u\n", ans.x);
  return 0;
}

Details

Tip: Click on the bar to expand more detailed information

Test #1:

score: 100
Accepted
time: 224ms
memory: 4096kb

input:

505
Baker_Street Regents_Park
Charing_Cross Embankment
Edgware_Road__Bakerloo_ Marylebone
Embankment Waterloo
Harlesden Willesden_Junction
Harrow_and_Wealdstone Kenton
Kensal_Green Queens_Park
Kenton South_Kenton
Kilburn_Park Maida_Vale
Lambeth_North Elephant_and_Castle
Maida_Vale Warwick_Avenue
Mar...

output:

159589981

result:

ok 1 number(s): "159589981"

Test #2:

score: 0
Accepted
time: 226ms
memory: 4224kb

input:

505
Baker_Street Regents_Park
Charing_Cross Embankment
Edgware_Road__Bakerloo_ Marylebone
Embankment Waterloo
Harlesden Willesden_Junction
Harrow_and_Wealdstone Kenton
Kensal_Green Queens_Park
Kenton South_Kenton
Kilburn_Park Maida_Vale
Lambeth_North Elephant_and_Castle
Maida_Vale Warwick_Avenue
Mar...

output:

434129880

result:

ok 1 number(s): "434129880"

Test #3:

score: 0
Accepted
time: 225ms
memory: 4224kb

input:

505
Baker_Street Regents_Park
Charing_Cross Embankment
Edgware_Road__Bakerloo_ Marylebone
Embankment Waterloo
Harlesden Willesden_Junction
Harrow_and_Wealdstone Kenton
Kensal_Green Queens_Park
Kenton South_Kenton
Kilburn_Park Maida_Vale
Lambeth_North Elephant_and_Castle
Maida_Vale Warwick_Avenue
Mar...

output:

265208483

result:

ok 1 number(s): "265208483"

Test #4:

score: 0
Accepted
time: 226ms
memory: 4096kb

input:

505
Baker_Street Regents_Park
Charing_Cross Embankment
Edgware_Road__Bakerloo_ Marylebone
Embankment Waterloo
Harlesden Willesden_Junction
Harrow_and_Wealdstone Kenton
Kensal_Green Queens_Park
Kenton South_Kenton
Kilburn_Park Maida_Vale
Lambeth_North Elephant_and_Castle
Maida_Vale Warwick_Avenue
Mar...

output:

0

result:

ok 1 number(s): "0"

Test #5:

score: 0
Accepted
time: 225ms
memory: 4096kb

input:

505
Baker_Street Regents_Park
Charing_Cross Embankment
Edgware_Road__Bakerloo_ Marylebone
Embankment Waterloo
Harlesden Willesden_Junction
Harrow_and_Wealdstone Kenton
Kensal_Green Queens_Park
Kenton South_Kenton
Kilburn_Park Maida_Vale
Lambeth_North Elephant_and_Castle
Maida_Vale Warwick_Avenue
Mar...

output:

0

result:

ok 1 number(s): "0"

Test #6:

score: 0
Accepted
time: 225ms
memory: 4096kb

input:

505
Baker_Street Regents_Park
Charing_Cross Embankment
Edgware_Road__Bakerloo_ Marylebone
Embankment Waterloo
Harlesden Willesden_Junction
Harrow_and_Wealdstone Kenton
Kensal_Green Queens_Park
Kenton South_Kenton
Kilburn_Park Maida_Vale
Lambeth_North Elephant_and_Castle
Maida_Vale Warwick_Avenue
Mar...

output:

538295197

result:

ok 1 number(s): "538295197"

Test #7:

score: 0
Accepted
time: 226ms
memory: 4224kb

input:

505
Baker_Street Regents_Park
Charing_Cross Embankment
Edgware_Road__Bakerloo_ Marylebone
Embankment Waterloo
Harlesden Willesden_Junction
Harrow_and_Wealdstone Kenton
Kensal_Green Queens_Park
Kenton South_Kenton
Kilburn_Park Maida_Vale
Lambeth_North Elephant_and_Castle
Maida_Vale Warwick_Avenue
Mar...

output:

0

result:

ok 1 number(s): "0"

Test #8:

score: 0
Accepted
time: 225ms
memory: 4224kb

input:

505
Baker_Street Regents_Park
Charing_Cross Embankment
Edgware_Road__Bakerloo_ Marylebone
Embankment Waterloo
Harlesden Willesden_Junction
Harrow_and_Wealdstone Kenton
Kensal_Green Queens_Park
Kenton South_Kenton
Kilburn_Park Maida_Vale
Lambeth_North Elephant_and_Castle
Maida_Vale Warwick_Avenue
Mar...

output:

336817147

result:

ok 1 number(s): "336817147"

Test #9:

score: 0
Accepted
time: 224ms
memory: 4224kb

input:

505
Baker_Street Regents_Park
Charing_Cross Embankment
Edgware_Road__Bakerloo_ Marylebone
Embankment Waterloo
Harlesden Willesden_Junction
Harrow_and_Wealdstone Kenton
Kensal_Green Queens_Park
Kenton South_Kenton
Kilburn_Park Maida_Vale
Lambeth_North Elephant_and_Castle
Maida_Vale Warwick_Avenue
Mar...

output:

400446333

result:

ok 1 number(s): "400446333"

Test #10:

score: 0
Accepted
time: 225ms
memory: 4224kb

input:

505
Baker_Street Regents_Park
Charing_Cross Embankment
Edgware_Road__Bakerloo_ Marylebone
Embankment Waterloo
Harlesden Willesden_Junction
Harrow_and_Wealdstone Kenton
Kensal_Green Queens_Park
Kenton South_Kenton
Kilburn_Park Maida_Vale
Lambeth_North Elephant_and_Castle
Maida_Vale Warwick_Avenue
Mar...

output:

976542866

result:

ok 1 number(s): "976542866"

Test #11:

score: 0
Accepted
time: 226ms
memory: 3968kb

input:

505
Baker_Street Regents_Park
Charing_Cross Embankment
Edgware_Road__Bakerloo_ Marylebone
Embankment Waterloo
Harlesden Willesden_Junction
Harrow_and_Wealdstone Kenton
Kensal_Green Queens_Park
Kenton South_Kenton
Kilburn_Park Maida_Vale
Lambeth_North Elephant_and_Castle
Maida_Vale Warwick_Avenue
Mar...

output:

602812360

result:

ok 1 number(s): "602812360"

Test #12:

score: 0
Accepted
time: 226ms
memory: 4224kb

input:

505
Baker_Street Regents_Park
Charing_Cross Embankment
Edgware_Road__Bakerloo_ Marylebone
Embankment Waterloo
Harlesden Willesden_Junction
Harrow_and_Wealdstone Kenton
Kensal_Green Queens_Park
Kenton South_Kenton
Kilburn_Park Maida_Vale
Lambeth_North Elephant_and_Castle
Maida_Vale Warwick_Avenue
Mar...

output:

8

result:

ok 1 number(s): "8"

Test #13:

score: 0
Accepted
time: 225ms
memory: 4224kb

input:

505
Baker_Street Regents_Park
Charing_Cross Embankment
Edgware_Road__Bakerloo_ Marylebone
Embankment Waterloo
Harlesden Willesden_Junction
Harrow_and_Wealdstone Kenton
Kensal_Green Queens_Park
Kenton South_Kenton
Kilburn_Park Maida_Vale
Lambeth_North Elephant_and_Castle
Maida_Vale Warwick_Avenue
Mar...

output:

1

result:

ok 1 number(s): "1"

Extra Test:

score: 0
Extra Test Passed