QOJ.ac

QOJ

IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#302769#7976. 最后的晚餐hos_lyric#16 840ms4072kbC++147.4kb2024-01-11 12:10:072024-07-04 03:17:28

Judging History

你现在查看的是最新测评结果

  • [2024-07-04 03:17:28]
  • 评测
  • 测评结果:16
  • 用时:840ms
  • 内存:4072kb
  • [2024-01-11 12:10:07]
  • 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>;


int N;
vector<int> A;
int F[13];


vector<Mint> dp;
// *= (1 + x^d + ... + x^(fd))
void update(int f, int d) {
  int len = dp.size();
  if (d) {
    len += f * d;
    dp.resize(len, 0);
    for (int x = len; --x >= (f + 1) * d; ) dp[x] -= dp[x - (f + 1) * d];
    for (int x = d; x < len; ++x) dp[x] += dp[x - d];
  } else {
    for (int x = 0; x < len; ++x) dp[x] *= (f + 1);
  }
}

// \sum (floor(sum/10) + 1)
Mint easy() {
  dp = {1};
  for (int a = 1; a <= 12; ++a) {
    update(F[a], a);
  }
  Mint ret = 0;
  for (int x = 0; x < (int)dp.size(); ++x) {
    ret += dp[x] * (x / 10 + 1);
  }
  return ret;
}


namespace slow {
constexpr int INF = 1001001001;
constexpr int LIM = 45;
int brt[LIM][LIM][LIM][LIM][10];
void build() {
  for (int f1 = 0; f1 < LIM; ++f1) for (int f11 = 0; f11 < LIM; ++f11) for (int f12 = 0; f12 < LIM; ++f12) {
    for (int x = 0; x < LIM; ++x) {
      fill(brt[f1][f11][f12][x], brt[f1][f11][f12][x] + 10, INF);
    }
  }
  brt[0][0][0][0][0] = 0;
  for (int f1 = 0; f1 < LIM; ++f1) for (int f11 = 0; f11 < LIM; ++f11) for (int f12 = 0; f12 < LIM; ++f12) {
    for (int x = 0; x < LIM; ++x) {
      for (int r = 0; r < 10; ++r) {
        if (f1 + 1 < LIM) chmin(brt[f1 + 1][f11][f12][x][(r + 1) % 10], brt[f1][f11][f12][x][r]);
        if (f11 + 1 < LIM) chmin(brt[f1][f11 + 1][f12][x][(r + 1) % 10], brt[f1][f11][f12][x][r] + ((r >= 9) ? 1 : 0));
        if (f12 + 1 < LIM) chmin(brt[f1][f11][f12 + 1][x][(r + 2) % 10], brt[f1][f11][f12][x][r] + ((r >= 8) ? 1 : 0));
        if (x + 1 < LIM) chmin(brt[f1][f11][f12][x + 1][max(r - 1, 0)], brt[f1][f11][f12][x][r]);
      }
    }
  }
}

Mint run() {
// build();
  Mint ans = 0;
  dp = {1};
  for (int a = 2; a <= 10; ++a) if (a % 2 == 0) update(F[a], 10 - a);
  const auto dpEven = dp;
  for (int a = 2; a <= 10; ++a) if (a % 2 != 0) update(F[a], 10 - a);
  for (int f1 = 0; f1 <= F[1]; ++f1) for (int f11 = 0; f11 <= F[11]; ++f11) for (int f12 = 0; f12 <= F[12]; ++f12) {
    int now = 0;
    int g1 = f1, g11 = f11, g12 = f12;
    for (; g11 + g12 > 0; ) {
      if (g12 && now <= 7) {
        --g12;
        now += 2;
      } else if (g11 && now <= 8) {
        --g11;
        now += 1;
      } else if (now == 9) {
        if (g1 < 1) break;
        g1 -= 1;
        now = 0;
      } else if (now == 8) {
        if (g1 < 2) break;
        g1 -= 2;
        now = 0;
      } else {
        assert(false);
      }
    }
    for (int x = 0; x < (int)dp.size(); ++x) {
      Mint ways[2];
      ways[0] = (x < (int)dpEven.size()) ? dpEven[x] : 0;
      ways[1] = dp[x] - ways[0];
      for (int od = 0; od < 2; ++od) {
        int safe = 9 - now + x;
        if (g1) {
          assert(!g11);
          if (now == 8 && od) {
            safe += 9;
          }
        }
        const int komaru = max(g11 * 1 + g12 * 2 - safe, 0);
        const int skip = (komaru + 9) / 10;
/*
if(x&&od){
 const int mn=*min_element(brt[f1][f11][f12][x],brt[f1][f11][f12][x]+10);
 if(mn!=skip){
  cerr<<f1<<" "<<f11<<" "<<f12<<"; "<<x<<"; "<<od<<": "<<mn<<" "<<skip<<endl;
  pv(brt[f1][f11][f12][x],brt[f1][f11][f12][x]+10);
 }
 assert(mn==skip);
}
*/
        ans += ways[od] * skip;
      }
    }
  }
cerr<<"ans = "<<ans<<endl;
  const Mint eas = easy();
  ans = eas - ans;
  return ans;
}
}  // slow


int main() {
  for (; ~scanf("%d", &N); ) {
    A.resize(N);
    for (int i = 0; i < N; ++i) {
      scanf("%d", &A[i]);
    }
    
    memset(F, 0, sizeof(F));
    for (int i = 0; i < N; ++i) {
      ++F[A[i]];
    }
cerr<<"F = ";pv(F,F+13);
    
    const Mint ans = slow::run();
    printf("%u\n", ans.x);
#ifndef LOCAL
  break;
#endif
  }
  return 0;
}

Details

Tip: Click on the bar to expand more detailed information

Subtask #1:

score: 4
Accepted

Test #1:

score: 4
Accepted
time: 0ms
memory: 3804kb

input:

5
1 1 4 5 1 4

output:

19

result:

ok single line: '19'

Test #2:

score: 0
Accepted
time: 0ms
memory: 3776kb

input:

20
6 1 8 6 10 8 4 3 9 3 6 8 5 11 6 8 3 12 1 12

output:

203040

result:

ok single line: '203040'

Test #3:

score: 0
Accepted
time: 0ms
memory: 3776kb

input:

20
7 6 3 5 12 2 1 10 3 8 5 8 1 9 11 7 4 6 2 4

output:

656102

result:

ok single line: '656102'

Test #4:

score: 0
Accepted
time: 0ms
memory: 3772kb

input:

20
1 11 11 7 11 11 5 3 4 8 10 5 12 7 12 1 11 11 1 12

output:

133044

result:

ok single line: '133044'

Subtask #2:

score: 12
Accepted

Test #5:

score: 12
Accepted
time: 0ms
memory: 3728kb

input:

25
7 12 12 4 7 2 2 4 5 3 10 1 2 10 12 7 4 9 8 12 3 5 4 7 5

output:

1209600

result:

ok single line: '1209600'

Test #6:

score: 0
Accepted
time: 0ms
memory: 3800kb

input:

30
2 8 12 3 4 5 9 1 11 1 12 6 3 4 5 8 10 1 9 10 5 10 10 9 2 12 5 4 1 12

output:

11070000

result:

ok single line: '11070000'

Test #7:

score: 0
Accepted
time: 0ms
memory: 3800kb

input:

30
9 2 11 8 3 7 4 11 12 7 3 2 1 4 9 4 5 1 5 12 2 6 6 3 8 5 6 10 10 1

output:

28068252

result:

ok single line: '28068252'

Test #8:

score: 0
Accepted
time: 0ms
memory: 3776kb

input:

30
10 5 1 1 8 12 5 10 1 1 5 10 1 11 11 5 11 12 12 8 1 1 10 12 4 1 11 4 12 9

output:

1312095

result:

ok single line: '1312095'

Test #9:

score: 0
Accepted
time: 0ms
memory: 4072kb

input:

27
9 6 5 5 10 1 10 9 7 10 3 6 1 11 11 9 9 4 9 1 9 1 4 9 4 9 6

output:

979772

result:

ok single line: '979772'

Test #10:

score: 0
Accepted
time: 0ms
memory: 3776kb

input:

40
8 9 2 4 8 2 9 8 4 10 1 9 4 4 9 6 7 11 7 2 1 7 10 6 2 10 5 11 3 4 5 10 1 6 6 4 9 7 3 7

output:

171460800

result:

ok single line: '171460800'

Test #11:

score: 0
Accepted
time: 0ms
memory: 4064kb

input:

40
1 5 2 2 12 12 6 4 8 8 9 11 3 4 3 8 4 3 6 3 10 5 12 1 1 5 1 9 10 7 7 2 2 10 7 11 6 11 9 4

output:

522240000

result:

ok single line: '522240000'

Test #12:

score: 0
Accepted
time: 1ms
memory: 4068kb

input:

40
1 12 1 11 1 5 1 1 1 12 12 1 9 4 1 11 6 12 5 9 11 4 1 12 1 12 12 4 9 9 11 11 12 11 11 7 9 11 11 10

output:

8721848

result:

ok single line: '8721848'

Subtask #3:

score: 0
Time Limit Exceeded

Test #13:

score: 16
Accepted
time: 1ms
memory: 4028kb

input:

162
7 9 1 8 5 10 11 4 5 11 4 5 5 5 1 6 9 9 5 5 7 11 8 5 11 2 4 8 5 2 5 2 7 5 10 6 6 4 8 2 5 11 2 11 11 11 7 6 3 2 10 7 4 4 1 9 4 10 11 4 4 4 5 11 4 10 11 2 11 9 9 9 2 3 3 9 6 1 11 2 10 6 2 4 9 1 6 7 11 2 8 3 4 10 7 8 1 7 1 4 10 6 6 6 2 6 2 2 11 9 1 11 3 5 1 8 10 1 1 7 2 8 2 11 3 2 9 4 9 5 11 11 4 8 ...

output:

7029577

result:

ok single line: '7029577'

Test #14:

score: -16
Time Limit Exceeded

input:

2000
5 7 5 9 2 3 1 11 10 2 9 2 8 8 4 7 10 4 10 6 7 6 8 7 3 4 3 10 6 1 7 11 3 7 8 5 8 9 10 5 3 1 3 10 6 3 2 5 4 10 2 8 11 3 6 7 1 11 4 5 9 6 2 2 5 5 6 8 9 8 7 8 7 2 2 2 9 10 4 10 1 4 7 5 2 3 7 6 1 8 7 11 11 7 11 10 4 1 5 3 11 11 4 8 1 6 5 7 5 5 10 7 11 10 5 2 9 1 6 5 3 9 1 11 4 4 5 7 1 11 6 4 3 9 4 1...

output:

371307514

result:


Subtask #4:

score: 0
Time Limit Exceeded

Test #17:

score: 12
Accepted
time: 4ms
memory: 3828kb

input:

306
4 6 11 3 8 8 4 2 8 10 6 8 12 8 8 9 10 9 5 10 11 7 10 11 8 2 10 5 4 2 8 5 3 8 12 11 11 2 11 7 10 9 7 6 4 11 11 2 11 6 12 8 6 6 12 7 11 10 3 5 2 3 7 8 2 10 9 5 11 7 7 8 3 4 9 9 2 7 2 12 8 2 7 10 8 7 6 12 7 3 3 3 2 6 2 4 10 11 8 8 7 3 6 11 9 4 9 3 12 10 12 6 8 11 6 2 8 10 10 6 5 11 11 7 5 5 10 12 5...

output:

537422792

result:

ok single line: '537422792'

Test #18:

score: 0
Accepted
time: 840ms
memory: 3936kb

input:

2000
2 9 12 6 11 4 9 7 12 5 4 4 10 9 3 12 8 2 4 8 4 11 10 8 11 11 5 9 8 9 6 12 9 12 9 7 3 2 8 8 2 3 8 9 3 3 6 9 6 4 8 11 4 9 9 9 10 5 12 8 9 4 10 10 9 9 6 4 8 11 11 3 9 3 7 3 10 8 11 12 8 4 9 8 11 7 12 5 9 10 5 4 11 5 11 3 11 12 7 11 9 4 3 2 2 4 3 6 3 10 11 3 5 6 7 9 6 10 7 6 3 12 12 8 3 8 5 7 12 10...

output:

839026549

result:

ok single line: '839026549'

Test #19:

score: -12
Time Limit Exceeded

input:

2000
12 11 12 12 12 12 11 11 4 11 12 5 11 11 12 11 11 12 6 12 11 11 12 12 11 12 12 12 11 11 7 5 11 11 11 10 5 12 12 12 11 11 12 12 11 11 11 11 12 11 12 11 12 12 6 12 12 11 11 12 12 11 11 12 11 12 11 12 12 11 11 12 12 12 12 12 7 11 11 12 11 12 4 11 12 12 11 11 12 11 11 11 11 11 12 11 11 11 11 11 12 1...

output:


result:


Subtask #5:

score: 0
Wrong Answer

Test #22:

score: 12
Accepted
time: 0ms
memory: 3868kb

input:

68
2 11 8 12 7 11 11 7 6 5 10 3 5 12 4 5 1 6 5 11 6 9 1 1 11 5 12 3 12 9 11 1 1 12 9 4 11 4 6 10 4 1 10 6 2 7 3 2 11 5 4 5 2 6 4 11 3 2 10 8 1 9 4 8 2 3 9 9

output:

970946217

result:

ok single line: '970946217'

Test #23:

score: 0
Accepted
time: 1ms
memory: 3776kb

input:

100
2 5 1 6 10 1 12 7 9 11 4 8 1 6 10 10 4 4 4 6 4 8 5 10 5 1 8 10 6 11 7 9 5 12 5 9 2 10 9 12 10 1 6 9 5 7 1 11 2 8 4 11 12 9 3 6 12 1 2 4 7 12 3 7 11 3 1 2 7 7 4 2 6 2 5 6 8 11 10 2 10 7 5 3 3 9 2 12 9 7 9 9 12 7 8 7 11 6 8 2

output:

242285391

result:

ok single line: '242285391'

Test #24:

score: 0
Accepted
time: 2ms
memory: 3788kb

input:

100
1 2 11 11 11 12 2 5 5 7 2 7 1 10 5 1 8 6 2 1 8 1 3 10 9 6 4 4 2 4 3 3 1 5 10 3 7 5 12 3 12 11 5 8 10 4 4 10 1 11 6 7 2 8 7 8 4 3 4 6 10 10 8 1 9 6 3 12 7 12 1 3 9 5 6 8 5 7 2 9 2 2 10 6 12 3 4 9 9 9 12 12 7 11 8 11 9 11 6 4

output:

981520513

result:

ok single line: '981520513'

Test #25:

score: -12
Wrong Answer
time: 8ms
memory: 3784kb

input:

100
1 11 3 11 2 12 7 5 4 6 12 9 12 7 1 1 12 5 12 1 9 1 12 1 12 7 12 12 6 8 8 11 1 2 10 1 12 9 1 12 1 11 3 1 1 11 12 6 11 8 11 12 11 9 10 2 1 1 2 1 11 1 9 12 3 1 12 1 11 9 11 6 2 1 11 12 11 5 11 1 11 10 7 4 8 12 12 12 11 2 6 1 12 12 1 11 1 11 4 11

output:

553105539

result:

wrong answer 1st lines differ - expected: '553152067', found: '553105539'

Subtask #6:

score: 0
Wrong Answer

Test #27:

score: 8
Accepted
time: 0ms
memory: 3788kb

input:

103
3 4 3 6 5 12 4 4 5 5 11 2 5 3 11 10 4 2 8 6 2 8 4 5 1 1 4 8 11 11 7 1 3 11 3 1 1 7 4 4 3 3 9 7 9 7 1 3 12 1 2 12 3 1 9 11 5 12 5 11 6 7 7 12 7 8 7 4 10 10 8 4 4 8 6 10 7 3 7 8 7 1 12 1 12 1 8 4 9 10 6 12 8 12 5 10 3 10 4 6 11 10 7

output:

160323719

result:

ok single line: '160323719'

Test #28:

score: -8
Wrong Answer
time: 69ms
memory: 3796kb

input:

300
7 10 7 12 7 1 6 9 10 5 10 3 10 5 6 8 2 4 7 1 10 8 3 2 11 11 12 2 5 4 10 2 12 10 3 2 5 11 4 6 6 3 4 3 2 7 12 9 3 5 3 5 3 11 12 4 4 9 3 7 10 6 5 4 7 6 6 9 4 6 7 10 7 9 11 2 12 2 9 5 6 1 12 9 2 10 10 8 1 7 8 6 9 12 5 7 9 8 6 7 7 11 8 3 6 5 1 10 10 1 6 3 3 12 11 1 6 11 9 9 10 2 6 3 8 10 11 10 2 11 1...

output:

336064876

result:

wrong answer 1st lines differ - expected: '349661228', found: '336064876'

Subtask #7:

score: 0
Time Limit Exceeded

Test #34:

score: 12
Accepted
time: 3ms
memory: 3804kb

input:

126
12 12 10 9 1 4 7 10 8 6 9 7 3 4 6 4 1 6 2 9 5 5 1 7 3 8 1 10 3 10 7 3 2 6 2 12 6 11 1 7 12 4 7 1 2 10 1 5 11 10 4 4 7 5 5 6 9 8 5 11 6 12 10 10 10 6 8 11 7 3 1 1 10 8 6 4 9 3 3 7 1 8 12 6 12 12 6 10 10 7 9 1 1 3 1 2 1 5 8 4 9 2 7 6 7 2 7 11 7 3 3 6 11 7 4 2 3 10 5 3 7 10 11 9 11 2

output:

81214287

result:

ok single line: '81214287'

Test #35:

score: -12
Time Limit Exceeded

input:

600
1 2 9 8 9 11 9 7 3 12 7 12 6 8 12 4 5 12 6 12 1 12 4 6 11 4 3 4 10 6 6 5 11 1 7 5 1 6 1 3 5 6 10 5 11 12 9 10 7 10 12 5 8 7 2 8 9 5 6 9 6 9 7 9 7 8 4 1 9 5 7 7 6 2 3 7 8 1 5 4 2 9 12 5 6 10 12 3 11 1 8 12 2 6 2 5 5 8 12 5 2 2 11 3 12 5 1 1 1 10 1 6 4 1 5 10 1 6 5 11 11 11 12 8 6 3 4 7 4 1 8 4 9 ...

output:


result:


Subtask #8:

score: 0
Time Limit Exceeded

Test #42:

score: 24
Accepted
time: 3ms
memory: 4064kb

input:

118
2 2 6 11 2 1 12 12 5 12 6 1 4 2 2 2 10 11 4 5 8 5 6 1 1 8 10 6 6 4 4 8 6 5 4 2 6 2 7 7 6 3 1 10 4 12 10 4 12 9 11 3 4 9 2 1 5 3 12 4 2 2 6 2 4 11 3 9 11 9 1 6 12 1 4 8 9 11 8 9 7 10 11 6 7 11 8 4 5 3 7 8 1 9 4 8 12 10 6 12 4 2 8 6 2 9 11 9 6 4 8 1 7 11 3 6 7 2

output:

348282473

result:

ok single line: '348282473'

Test #43:

score: -24
Time Limit Exceeded

input:

2000
2 8 8 9 1 6 2 3 6 6 5 7 7 1 4 8 6 9 1 3 5 6 5 3 6 9 12 3 8 6 1 3 4 9 9 1 11 10 2 2 6 2 3 5 7 2 11 8 2 2 1 9 4 7 8 7 8 7 7 7 4 10 4 10 11 3 6 5 3 7 4 2 5 10 5 12 12 10 1 12 8 1 9 9 6 1 8 10 8 11 11 2 12 4 11 5 1 1 12 11 11 5 11 9 3 6 9 12 4 7 4 5 8 4 6 11 3 11 2 2 6 12 11 12 10 4 2 3 6 3 11 12 4...

output:


result: