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ID题目提交者结果用时内存语言文件大小提交时间测评时间
#302902#7976. 最后的晚餐hos_lyric#100 ✓351ms132016kbC++1413.6kb2024-01-11 15:04:432024-07-04 03:17:55

Judging History

你现在查看的是最新测评结果

  • [2024-07-04 03:17:55]
  • 评测
  • 测评结果:100
  • 用时:351ms
  • 内存:132016kb
  • [2024-01-11 15:04:43]
  • 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 = 998244353U;
constexpr unsigned MO2 = 2U * MO;
constexpr int FFT_MAX = 23;
using Mint = ModInt<MO>;
constexpr Mint FFT_ROOTS[FFT_MAX + 1] = {1U, 998244352U, 911660635U, 372528824U, 929031873U, 452798380U, 922799308U, 781712469U, 476477967U, 166035806U, 258648936U, 584193783U, 63912897U, 350007156U, 666702199U, 968855178U, 629671588U, 24514907U, 996173970U, 363395222U, 565042129U, 733596141U, 267099868U, 15311432U};
constexpr Mint INV_FFT_ROOTS[FFT_MAX + 1] = {1U, 998244352U, 86583718U, 509520358U, 337190230U, 87557064U, 609441965U, 135236158U, 304459705U, 685443576U, 381598368U, 335559352U, 129292727U, 358024708U, 814576206U, 708402881U, 283043518U, 3707709U, 121392023U, 704923114U, 950391366U, 428961804U, 382752275U, 469870224U};
constexpr Mint FFT_RATIOS[FFT_MAX] = {911660635U, 509520358U, 369330050U, 332049552U, 983190778U, 123842337U, 238493703U, 975955924U, 603855026U, 856644456U, 131300601U, 842657263U, 730768835U, 942482514U, 806263778U, 151565301U, 510815449U, 503497456U, 743006876U, 741047443U, 56250497U, 867605899U};
constexpr Mint INV_FFT_RATIOS[FFT_MAX] = {86583718U, 372528824U, 373294451U, 645684063U, 112220581U, 692852209U, 155456985U, 797128860U, 90816748U, 860285882U, 927414960U, 354738543U, 109331171U, 293255632U, 535113200U, 308540755U, 121186627U, 608385704U, 438932459U, 359477183U, 824071951U, 103369235U};

// as[rev(i)] <- \sum_j \zeta^(ij) as[j]
void fft(Mint *as, int n) {
  assert(!(n & (n - 1))); assert(1 <= n); assert(n <= 1 << FFT_MAX);
  int m = n;
  if (m >>= 1) {
    for (int i = 0; i < m; ++i) {
      const unsigned x = as[i + m].x;  // < MO
      as[i + m].x = as[i].x + MO - x;  // < 2 MO
      as[i].x += x;  // < 2 MO
    }
  }
  if (m >>= 1) {
    Mint prod = 1U;
    for (int h = 0, i0 = 0; i0 < n; i0 += (m << 1)) {
      for (int i = i0; i < i0 + m; ++i) {
        const unsigned x = (prod * as[i + m]).x;  // < MO
        as[i + m].x = as[i].x + MO - x;  // < 3 MO
        as[i].x += x;  // < 3 MO
      }
      prod *= FFT_RATIOS[__builtin_ctz(++h)];
    }
  }
  for (; m; ) {
    if (m >>= 1) {
      Mint prod = 1U;
      for (int h = 0, i0 = 0; i0 < n; i0 += (m << 1)) {
        for (int i = i0; i < i0 + m; ++i) {
          const unsigned x = (prod * as[i + m]).x;  // < MO
          as[i + m].x = as[i].x + MO - x;  // < 4 MO
          as[i].x += x;  // < 4 MO
        }
        prod *= FFT_RATIOS[__builtin_ctz(++h)];
      }
    }
    if (m >>= 1) {
      Mint prod = 1U;
      for (int h = 0, i0 = 0; i0 < n; i0 += (m << 1)) {
        for (int i = i0; i < i0 + m; ++i) {
          const unsigned x = (prod * as[i + m]).x;  // < MO
          as[i].x = (as[i].x >= MO2) ? (as[i].x - MO2) : as[i].x;  // < 2 MO
          as[i + m].x = as[i].x + MO - x;  // < 3 MO
          as[i].x += x;  // < 3 MO
        }
        prod *= FFT_RATIOS[__builtin_ctz(++h)];
      }
    }
  }
  for (int i = 0; i < n; ++i) {
    as[i].x = (as[i].x >= MO2) ? (as[i].x - MO2) : as[i].x;  // < 2 MO
    as[i].x = (as[i].x >= MO) ? (as[i].x - MO) : as[i].x;  // < MO
  }
}

// as[i] <- (1/n) \sum_j \zeta^(-ij) as[rev(j)]
void invFft(Mint *as, int n) {
  assert(!(n & (n - 1))); assert(1 <= n); assert(n <= 1 << FFT_MAX);
  int m = 1;
  if (m < n >> 1) {
    Mint prod = 1U;
    for (int h = 0, i0 = 0; i0 < n; i0 += (m << 1)) {
      for (int i = i0; i < i0 + m; ++i) {
        const unsigned long long y = as[i].x + MO - as[i + m].x;  // < 2 MO
        as[i].x += as[i + m].x;  // < 2 MO
        as[i + m].x = (prod.x * y) % MO;  // < MO
      }
      prod *= INV_FFT_RATIOS[__builtin_ctz(++h)];
    }
    m <<= 1;
  }
  for (; m < n >> 1; m <<= 1) {
    Mint prod = 1U;
    for (int h = 0, i0 = 0; i0 < n; i0 += (m << 1)) {
      for (int i = i0; i < i0 + (m >> 1); ++i) {
        const unsigned long long y = as[i].x + MO2 - as[i + m].x;  // < 4 MO
        as[i].x += as[i + m].x;  // < 4 MO
        as[i].x = (as[i].x >= MO2) ? (as[i].x - MO2) : as[i].x;  // < 2 MO
        as[i + m].x = (prod.x * y) % MO;  // < MO
      }
      for (int i = i0 + (m >> 1); i < i0 + m; ++i) {
        const unsigned long long y = as[i].x + MO - as[i + m].x;  // < 2 MO
        as[i].x += as[i + m].x;  // < 2 MO
        as[i + m].x = (prod.x * y) % MO;  // < MO
      }
      prod *= INV_FFT_RATIOS[__builtin_ctz(++h)];
    }
  }
  if (m < n) {
    for (int i = 0; i < m; ++i) {
      const unsigned y = as[i].x + MO2 - as[i + m].x;  // < 4 MO
      as[i].x += as[i + m].x;  // < 4 MO
      as[i + m].x = y;  // < 4 MO
    }
  }
  const Mint invN = Mint(n).inv();
  for (int i = 0; i < n; ++i) {
    as[i] *= invN;
  }
}

void fft(vector<Mint> &as) {
  fft(as.data(), as.size());
}
void invFft(vector<Mint> &as) {
  invFft(as.data(), as.size());
}

vector<Mint> convolve(vector<Mint> as, vector<Mint> bs) {
  if (as.empty() || bs.empty()) return {};
  const int len = as.size() + bs.size() - 1;
  int n = 1;
  for (; n < len; n <<= 1) {}
  as.resize(n); fft(as);
  bs.resize(n); fft(bs);
  for (int i = 0; i < n; ++i) as[i] *= bs[i];
  invFft(as);
  as.resize(len);
  return as;
}
vector<Mint> square(vector<Mint> as) {
  if (as.empty()) return {};
  const int len = as.size() + as.size() - 1;
  int n = 1;
  for (; n < len; n <<= 1) {}
  as.resize(n); fft(as);
  for (int i = 0; i < n; ++i) as[i] *= as[i];
  invFft(as);
  as.resize(len);
  return as;
}
////////////////////////////////////////////////////////////////////////////////


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 {
int LEN;
int LENS[2010];
Mint DP[2010][16010];
// *= (1 + W X^d + ... + W^f X^(fd))
void UPDATE(int f, int d) {
  LEN += f;
  for (int w = 1; w < LEN; ++w) chmax(LENS[w], LENS[w - 1] + d);
  for (int w = LEN; --w >= f + 1; ) for (int x = (f + 1) * d; x < LENS[w]; ++x) DP[w][x] -= DP[w - (f + 1)][x - (f + 1) * d];
  for (int w = 1; w < LEN; ++w) for (int x = d; x < LENS[w]; ++x) DP[w][x] += DP[w - 1][x - d];
}

Mint run() {
  dp = {1};
  for (int a = 2; a <= 10; ++a) if (a % 2 == 0) update(F[a], 10 - a);
  
  LEN = 1;
  memset(LENS, 0, sizeof(LENS));
  memset(DP, 0, sizeof(DP));
  LENS[0] = dp.size();
  copy(dp.begin(), dp.end(), DP[0]);
  for (int a = 2; a <= 10; ++a) if (a % 2 != 0) UPDATE(F[a], 10 - a);
  
  vector<Mint> ways(10 * N + 1, 0);
  for (int w = 0; w < LEN; ++w) for (int x = 0; x < LENS[w]; ++x) if (DP[w][x]) {
    for (int f1 = 0; f1 <= F[1]; ++f1) for (int f11 = 0; f11 <= F[11]; ++f11) {
      int heal = x;
      const int g1 = min(f1, w + f11);
      heal += g1 * (+9);
      heal += ((f1 - g1 + 1) / 2) * (-1);
      heal += ((f1 - g1) / 2) * (+9);
      ways[N + (heal - f11)] += DP[w][x];
    }
  }
cerr<<"ways = "<<ways<<endl;
  Mint ans = 0;
  for (int i = 0; i < (int)ways.size(); ++i) if (ways[i]) {
    for (int f12 = 0; f12 <= F[12]; ++f12) {
      const int skip = max(f12 * 2 - (i - N), 0) / 10;
      ans += ways[i] * skip;
    }
  }
  
cerr<<"ans = "<<ans<<endl;
  const Mint eas = easy();
  ans = eas - ans;
  return ans;
}
}  // slow


namespace fast {
int LEN;
int LENS[2010];
Mint DP[2010][16010];
// *= (1 + W X^d + ... + W^f X^(fd))
void UPDATE(int f, int d) {
  LEN += f;
  for (int w = 1; w < LEN; ++w) chmax(LENS[w], LENS[w - 1] + d);
  for (int w = LEN; --w >= f + 1; ) for (int x = (f + 1) * d; x < LENS[w]; ++x) DP[w][x] -= DP[w - (f + 1)][x - (f + 1) * d];
  for (int w = 1; w < LEN; ++w) for (int x = d; x < LENS[w]; ++x) DP[w][x] += DP[w - 1][x - d];
}

Mint run() {
  dp = {1};
  for (int a = 2; a <= 10; ++a) if (a % 2 == 0) update(F[a], 10 - a);
  
  LEN = 1;
  memset(LENS, 0, sizeof(LENS));
  memset(DP, 0, sizeof(DP));
  LENS[0] = dp.size();
  copy(dp.begin(), dp.end(), DP[0]);
  for (int a = 2; a <= 10; ++a) if (a % 2 != 0) UPDATE(F[a], 10 - a);
  
  vector<Mint> ways(10 * N + 1, 0);
  for (int w = 0; w < LEN; ++w) {
    vector<int> coef(10 * N + 1, 0);
    for (int f1 = 0; f1 <= F[1]; ++f1) for (int f11 = 0; f11 <= F[11]; ++f11) {
      int heal = 0;
      const int g1 = min(f1, w + f11);
      heal += g1 * (+9);
      heal += ((f1 - g1 + 1) / 2) * (-1);
      heal += ((f1 - g1) / 2) * (+9);
      ++coef[N + (heal - f11)];
    }
    int lb = coef.size(), ub = -1;
    for (int i = 0; i < (int)coef.size(); ++i) if (coef[i]) {
      chmin(lb, i);
      chmax(ub, i);
    }
    if (lb <= ub) {
      const auto prod = convolve(
        vector<Mint>(coef.begin() + lb, coef.begin() + (ub + 1)),
        vector<Mint>(DP[w], DP[w] + LENS[w])
      );
      for (int i = 0; i < (int)prod.size(); ++i) {
        ways[lb + i] += prod[i];
      }
    }
  }
cerr<<"ways = "<<ways<<endl;
  Mint ans = 0;
  for (int i = 0; i < (int)ways.size(); ++i) if (ways[i]) {
    for (int f12 = 0; f12 <= F[12]; ++f12) {
      const int skip = max(f12 * 2 - (i - N), 0) / 10;
      ans += ways[i] * skip;
    }
  }
  
cerr<<"ans = "<<ans<<endl;
  const Mint eas = easy();
  ans = eas - ans;
  return ans;
}
}  // fast


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 = fast::run();
    printf("%u\n", ans.x);
#ifndef LOCAL
  break;
#endif
  }
  return 0;
}

详细

Subtask #1:

score: 4
Accepted

Test #1:

score: 4
Accepted
time: 8ms
memory: 131172kb

input:

5
1 1 4 5 1 4

output:

19

result:

ok single line: '19'

Test #2:

score: 0
Accepted
time: 0ms
memory: 130688kb

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: 3ms
memory: 131352kb

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: 4ms
memory: 131136kb

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: 4ms
memory: 130628kb

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: 4ms
memory: 130760kb

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: 12ms
memory: 130972kb

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: 7ms
memory: 130004kb

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: 6ms
memory: 129972kb

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: 129692kb

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: 131540kb

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: 0ms
memory: 130624kb

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: 16
Accepted

Test #13:

score: 16
Accepted
time: 0ms
memory: 131200kb

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: 0
Accepted
time: 351ms
memory: 129960kb

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:

ok single line: '371307514'

Test #15:

score: 0
Accepted
time: 242ms
memory: 130580kb

input:

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

output:

513895468

result:

ok single line: '513895468'

Test #16:

score: 0
Accepted
time: 46ms
memory: 130020kb

input:

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

output:

359825045

result:

ok single line: '359825045'

Subtask #4:

score: 12
Accepted

Test #17:

score: 12
Accepted
time: 8ms
memory: 131204kb

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: 251ms
memory: 130476kb

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: 0
Accepted
time: 11ms
memory: 130624kb

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:

58568833

result:

ok single line: '58568833'

Test #20:

score: 0
Accepted
time: 70ms
memory: 130796kb

input:

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

output:

815809248

result:

ok single line: '815809248'

Test #21:

score: 0
Accepted
time: 15ms
memory: 130892kb

input:

2000
12 11 12 12 12 12 11 12 12 12 12 12 11 5 11 11 12 12 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 12 12 5 5 12 12 12 11 12 11 12 12 12 12 12 12 12 12 12 12 11 12 11 12 12 12 12 12 12 12 11 8 12 12 12 12 12 10 12 11 12 12 11 12 12 11 11 12 11 12 12 12 3 7 11 12 12 12 12 12 12 11 12 12 11 12 12 1...

output:

444619177

result:

ok single line: '444619177'

Subtask #5:

score: 12
Accepted

Test #22:

score: 12
Accepted
time: 4ms
memory: 129612kb

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: 4ms
memory: 130016kb

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: 3ms
memory: 130656kb

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: 0
Accepted
time: 0ms
memory: 130964kb

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:

553152067

result:

ok single line: '553152067'

Test #26:

score: 0
Accepted
time: 7ms
memory: 129960kb

input:

100
12 12 12 11 12 12 1 12 8 9 12 1 11 12 12 11 12 9 11 11 11 11 6 12 11 12 1 11 11 12 1 11 11 12 12 11 11 12 11 12 12 12 11 1 1 12 11 1 12 12 12 11 12 6 1 10 12 11 12 11 12 12 11 11 11 11 10 12 12 11 11 11 1 11 12 1 11 12 11 11 11 11 1 1 11 10 11 11 12 12 11 11 12 11 1 11 1 12 12 12

output:

83201920

result:

ok single line: '83201920'

Subtask #6:

score: 8
Accepted

Test #27:

score: 8
Accepted
time: 8ms
memory: 130928kb

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: 0
Accepted
time: 11ms
memory: 131376kb

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:

349661228

result:

ok single line: '349661228'

Test #29:

score: 0
Accepted
time: 0ms
memory: 130828kb

input:

300
11 12 11 12 11 12 11 12 12 12 11 12 11 12 11 12 8 12 12 12 12 11 12 12 4 11 12 2 11 12 11 11 12 12 12 12 11 11 11 4 12 11 12 12 12 12 11 11 11 11 5 11 12 12 12 11 12 12 11 11 12 12 3 11 12 12 12 12 12 12 12 5 12 12 12 12 12 11 11 12 12 11 4 11 12 11 12 11 11 6 12 11 11 12 11 12 11 12 12 11 8 12 ...

output:

103860914

result:

ok single line: '103860914'

Test #30:

score: 0
Accepted
time: 7ms
memory: 130360kb

input:

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

output:

404838112

result:

ok single line: '404838112'

Test #31:

score: 0
Accepted
time: 4ms
memory: 131492kb

input:

300
12 1 12 11 12 1 1 11 11 12 11 11 11 11 11 12 1 1 12 11 1 11 12 11 1 12 12 8 12 11 11 11 11 11 12 2 12 12 12 7 11 11 11 11 12 12 12 12 11 12 12 12 12 12 11 11 11 12 11 12 9 12 12 11 1 1 1 12 11 11 12 2 11 11 11 11 12 1 1 12 11 1 11 12 11 12 1 11 12 11 12 11 12 1 1 12 12 12 12 11 12 11 1 1 11 8 12...

output:

325727434

result:

ok single line: '325727434'

Test #32:

score: 0
Accepted
time: 3ms
memory: 130776kb

input:

300
1 1 1 11 1 1 11 1 11 11 11 11 11 11 2 1 4 11 11 11 1 11 11 11 1 11 11 1 11 11 11 11 1 11 11 11 12 1 11 11 11 11 1 1 11 1 1 1 11 11 1 1 2 11 11 1 11 11 1 1 11 1 1 1 7 1 1 11 1 1 1 11 1 11 1 11 3 1 1 1 1 2 1 1 11 11 11 11 1 11 1 11 1 11 11 11 11 11 1 11 11 11 11 1 11 1 11 11 1 5 1 11 11 1 11 1 1 1...

output:

105323732

result:

ok single line: '105323732'

Test #33:

score: 0
Accepted
time: 0ms
memory: 130480kb

input:

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

output:

277518558

result:

ok single line: '277518558'

Subtask #7:

score: 12
Accepted

Test #34:

score: 12
Accepted
time: 7ms
memory: 130224kb

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: 0
Accepted
time: 23ms
memory: 131596kb

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:

200354829

result:

ok single line: '200354829'

Test #36:

score: 0
Accepted
time: 4ms
memory: 130852kb

input:

600
11 11 11 11 12 11 11 7 11 6 7 11 11 12 11 11 12 8 12 11 12 11 7 11 11 11 12 12 12 11 12 12 12 12 12 11 12 12 12 12 11 12 12 12 12 11 11 11 12 12 11 11 12 12 12 11 11 11 11 12 12 12 12 11 11 12 11 12 12 12 11 12 12 12 11 11 3 12 11 11 11 11 8 12 11 12 12 12 11 12 12 12 12 11 12 11 11 12 11 12 11 ...

output:

336892409

result:

ok single line: '336892409'

Test #37:

score: 0
Accepted
time: 19ms
memory: 131512kb

input:

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

output:

814315308

result:

ok single line: '814315308'

Test #38:

score: 0
Accepted
time: 7ms
memory: 131584kb

input:

600
11 12 12 12 11 12 1 12 11 11 11 11 12 12 4 1 1 12 4 12 1 1 11 11 3 11 12 1 11 11 12 4 12 12 12 11 11 11 7 11 12 12 1 10 12 11 11 1 1 11 12 11 11 12 11 11 11 11 1 12 12 1 12 4 11 12 12 12 11 11 12 11 1 11 11 12 12 11 1 11 12 3 11 1 11 1 1 11 1 1 12 11 12 1 12 12 12 11 12 1 11 12 12 11 12 5 12 12 ...

output:

459077640

result:

ok single line: '459077640'

Test #39:

score: 0
Accepted
time: 7ms
memory: 130172kb

input:

600
11 11 1 11 11 11 11 5 1 11 1 1 1 1 11 1 11 11 11 1 11 11 1 1 11 1 1 1 11 1 11 11 1 1 11 11 11 1 1 1 1 6 1 11 11 11 6 11 1 1 1 8 1 1 1 1 1 4 11 1 1 11 7 1 1 11 1 11 11 1 1 11 4 11 11 11 11 1 11 1 1 11 11 11 11 11 11 11 1 11 1 11 6 1 1 11 11 1 11 1 10 12 1 11 1 11 7 1 11 1 11 1 11 11 1 11 1 1 11 1...

output:

412416418

result:

ok single line: '412416418'

Test #40:

score: 0
Accepted
time: 3ms
memory: 130056kb

input:

600
11 1 1 11 11 1 1 12 6 1 11 11 1 11 1 12 11 11 11 1 1 11 1 12 12 11 2 1 11 12 12 1 12 12 1 1 1 1 1 1 1 1 1 12 12 1 1 1 12 1 1 12 10 12 11 1 1 12 11 12 11 11 1 11 1 12 1 1 12 1 11 1 1 1 1 1 12 1 1 12 1 11 11 1 12 11 1 12 1 1 12 11 1 1 11 1 11 1 12 1 1 11 1 12 11 1 11 12 1 12 12 2 1 12 11 7 1 12 12...

output:

658876033

result:

ok single line: '658876033'

Test #41:

score: 0
Accepted
time: 0ms
memory: 130848kb

input:

600
1 11 12 11 11 12 11 12 11 11 11 11 12 11 11 12 12 1 11 1 10 11 1 1 12 1 12 12 12 1 11 11 1 1 12 12 11 11 12 12 12 12 12 1 1 12 12 12 12 12 12 11 12 12 12 12 1 11 11 11 12 12 11 12 12 12 11 11 11 11 12 11 12 12 11 11 12 11 9 12 11 12 11 11 11 1 12 12 12 1 11 11 1 11 12 1 1 11 12 12 12 11 1 12 12 ...

output:

1405815

result:

ok single line: '1405815'

Subtask #8:

score: 24
Accepted

Test #42:

score: 24
Accepted
time: 0ms
memory: 130960kb

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: 0
Accepted
time: 270ms
memory: 130604kb

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:

993518469

result:

ok single line: '993518469'

Test #44:

score: 0
Accepted
time: 11ms
memory: 131372kb

input:

2000
11 11 12 12 11 12 12 11 11 12 12 11 11 12 12 12 12 12 11 12 12 12 12 11 9 11 11 11 4 11 11 11 11 11 11 12 12 12 11 11 12 12 11 11 11 11 11 12 12 11 11 12 12 9 12 11 12 12 12 12 12 11 11 12 12 11 11 12 12 11 12 12 12 11 12 12 12 11 12 11 12 12 11 12 11 12 11 11 12 12 11 11 11 12 5 11 12 9 11 12 ...

output:

502822032

result:

ok single line: '502822032'

Test #45:

score: 0
Accepted
time: 206ms
memory: 130584kb

input:

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

output:

160524783

result:

ok single line: '160524783'

Test #46:

score: 0
Accepted
time: 40ms
memory: 130284kb

input:

2000
1 11 11 1 11 12 12 11 11 12 12 11 11 1 12 11 12 1 12 12 11 12 1 11 11 12 11 1 11 11 11 11 11 12 12 12 11 11 11 12 1 12 12 1 12 12 12 11 11 12 11 12 12 11 11 1 12 11 12 11 1 11 1 12 1 11 12 1 10 1 11 1 12 11 12 11 12 11 11 12 12 12 12 12 11 11 12 4 11 12 12 12 12 1 11 1 1 11 11 12 11 12 11 12 12...

output:

744250290

result:

ok single line: '744250290'

Test #47:

score: 0
Accepted
time: 83ms
memory: 131184kb

input:

2000
1 2 11 1 1 11 10 11 11 11 1 1 1 11 11 11 1 1 1 1 1 11 1 1 9 11 11 1 1 1 11 1 1 1 1 11 1 6 11 11 1 1 1 11 11 1 11 1 12 12 11 1 5 1 11 11 11 1 1 11 11 1 1 11 1 11 11 1 1 1 1 1 1 11 1 11 1 1 11 11 11 11 11 1 11 11 1 1 11 12 1 11 1 11 11 11 1 11 11 1 1 1 11 1 1 11 11 11 1 1 11 1 1 1 1 10 11 1 1 11 ...

output:

494588075

result:

ok single line: '494588075'

Test #48:

score: 0
Accepted
time: 43ms
memory: 132016kb

input:

2000
1 1 11 12 1 1 12 12 1 1 1 11 11 1 12 12 12 11 11 12 1 5 12 12 1 12 12 12 1 12 1 10 1 11 1 1 1 1 12 1 1 11 12 1 11 5 1 11 11 1 11 1 1 12 12 1 1 1 1 1 1 1 12 11 12 11 1 1 1 11 1 11 12 12 11 11 11 11 1 12 12 1 1 1 12 1 11 1 1 1 1 1 1 12 1 1 1 12 1 12 12 1 12 11 1 1 12 1 12 11 1 11 12 12 11 1 11 1 ...

output:

522816441

result:

ok single line: '522816441'

Test #49:

score: 0
Accepted
time: 32ms
memory: 130184kb

input:

2000
1 12 12 11 12 11 12 11 11 12 11 12 12 12 12 9 6 12 1 12 12 11 5 1 12 11 1 12 11 1 12 12 11 11 11 11 12 1 12 11 11 1 11 1 11 11 11 1 12 12 12 12 11 11 1 11 1 12 12 11 11 12 11 11 11 12 11 12 12 11 11 1 11 12 12 11 11 11 1 12 1 11 11 11 1 12 3 11 11 11 11 12 12 12 11 11 11 12 11 11 12 12 1 1 12 1...

output:

861379237

result:

ok single line: '861379237'

Test #50:

score: 0
Accepted
time: 24ms
memory: 130992kb

input:

2000
11 11 1 12 11 12 12 12 11 11 12 11 12 11 11 12 12 12 1 1 12 11 1 11 12 11 11 11 12 1 11 11 11 6 12 11 1 11 12 11 1 1 12 12 11 1 12 12 11 12 11 11 12 12 12 11 12 12 12 11 12 11 11 12 8 11 12 12 11 12 12 11 12 11 11 12 4 12 12 6 12 11 12 1 12 1 11 1 11 1 12 12 12 12 1 12 1 11 11 12 12 1 12 1 11 1...

output:

19904734

result:

ok single line: '19904734'