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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
#186133#4908. 完全表示hos_lyric45 137ms4064kbC++145.9kb2023-09-23 09:28:382023-09-23 09:28:39

Judging History

你现在查看的是最新测评结果

  • [2023-09-23 09:28:39]
  • 评测
  • 测评结果:45
  • 用时:137ms
  • 内存:4064kb
  • [2023-09-23 09:28:38]
  • 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 <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 = 164511353;
using Mint = ModInt<MO>;

constexpr int A = 41;
static_assert(((1LL << A) - 1) % MO == 0);
int mod(int f) {
  return f ? (1 + (f - 1) % (A - 1)) : 0;
}

/*
  sub6
  F[n](x) := \sum[<T> = R^n] x^|T|
  F[0](x) = 1 + x
  ans = F[N](1)
  
  pi: R^n = R^(n-1) * R -> R^(n-1)
  <T> = R^n ==> <pi(T)> = R^(n-1)
  F[n](x) = \sum[d|K] \mu(d) #{T | <\pi(T)> = R^(n-1) && T \cap \pi^-1(0) \subseteq d R}
          = \sum[d|K] \mu(d) d^(n-1) F[n-1]((x+1)^(K/d)-1)
  
  G[n](y) := F[n](x-1)
  G[0](y) = y
  G[n](y) = \sum[d|K] \mu(d) G[n-1](y^(K/d))
  
  K = \prod[i] P[i]^E[i]
  H[n][f] := [y^(P^F)] G[n](y)
  H[0](z) = 1
  H[n](z) = (\prod[i] (z[i]^E[i] - P[i]^(n-1) z[i]^(E[i]-1))) H[n-1](z)
*/

int N, K, M;
int T;

int I;
vector<int> P, E;

int main() {
  for (; ~scanf("%d%d%d", &N, &K, &M); ) {
    scanf("%d", &T);
    assert(T == 1);
    
    P.clear();
    E.clear();
    {
      int k = K;
      for (int p = 2; p * p <= k; ++p) if (k % p == 0) {
        int e = 0;
        do {
          ++e;
          k /= p;
        } while (k % p == 0);
        P.push_back(p);
        E.push_back(e);
      }
      if (k > 1) {
        P.push_back(k);
        E.push_back(1);
      }
    }
    I = P.size();
cerr<<"N = "<<N<<", K = "<<K<<", M = "<<M<<", I = "<<I<<", P = "<<P<<", E = "<<E<<endl;
    
    vector<Mint> CRT(A, 0);
    CRT[1] = 1;
    for (int i = 0; i < I; ++i) {
      vector<Mint> crt(A, 0);
      crt[0] = 1;
      {
        Mint pp = 1;
        for (int n = 0; n < N; ++n) {
          vector<Mint> nxt(A, 0);
          for (int f = 0; f < A; ++f) {
            nxt[mod(f + E[i])] += crt[f];
            nxt[mod(f + E[i] - 1)] -= pp * crt[f];
          }
          crt = nxt;
          pp *= P[i];
        }
      }
      {
        vector<Mint> NXT(A, 0);
        int pp = 1;
        for (int f = 0; f < A; ++f) {
          for (int a = 0; a < A; ++a) {
            NXT[(a * pp) % A] += CRT[a] * crt[f];
          }
          (pp *= P[i]) %= A;
        }
        CRT = NXT;
      }
    }
    Mint ans = 0;
    for (int a = 0; a < A; ++a) {
      ans += CRT[a] * Mint(1LL << a);
    }
    printf("%u\n", ans.x);
  }
  return 0;
}

详细

Subtask #1:

score: 0
Wrong Answer

Test #1:

score: 0
Wrong Answer
time: 0ms
memory: 4052kb

input:

2 3 665
1

output:

486

result:

wrong answer 1st words differ - expected: '51745605', found: '486'

Subtask #2:

score: 15
Accepted

Test #14:

score: 15
Accepted
time: 0ms
memory: 3792kb

input:

19 90203 0
1

output:

142145213

result:

ok "142145213"

Test #15:

score: 0
Accepted
time: 0ms
memory: 3796kb

input:

18 9697 0
1

output:

153592927

result:

ok "153592927"

Test #16:

score: 0
Accepted
time: 0ms
memory: 4020kb

input:

20 41 0
1

output:

112957727

result:

ok "112957727"

Test #17:

score: 0
Accepted
time: 0ms
memory: 4060kb

input:

20 99991 0
1

output:

151341559

result:

ok "151341559"

Subtask #3:

score: 5
Accepted

Dependency #2:

100%
Accepted

Test #18:

score: 5
Accepted
time: 1ms
memory: 3764kb

input:

999 9749 0
1

output:

77370298

result:

ok "77370298"

Test #19:

score: 0
Accepted
time: 1ms
memory: 3764kb

input:

997 55103 0
1

output:

92054017

result:

ok "92054017"

Test #20:

score: 0
Accepted
time: 1ms
memory: 3868kb

input:

1000 41 0
1

output:

6438830

result:

ok "6438830"

Test #21:

score: 0
Accepted
time: 1ms
memory: 3852kb

input:

1000 99991 0
1

output:

31676606

result:

ok "31676606"

Subtask #4:

score: 5
Accepted

Dependency #3:

100%
Accepted

Test #22:

score: 5
Accepted
time: 23ms
memory: 3800kb

input:

99996 20089 0
1

output:

163612442

result:

ok "163612442"

Test #23:

score: 0
Accepted
time: 19ms
memory: 3792kb

input:

99996 17707 0
1

output:

109099283

result:

ok "109099283"

Test #24:

score: 0
Accepted
time: 23ms
memory: 3752kb

input:

100000 41 0
1

output:

131161322

result:

ok "131161322"

Test #25:

score: 0
Accepted
time: 23ms
memory: 3796kb

input:

100000 99991 0
1

output:

84487741

result:

ok "84487741"

Subtask #5:

score: 15
Accepted

Test #26:

score: 15
Accepted
time: 1ms
memory: 3764kb

input:

998 24 0
1

output:

75129854

result:

ok "75129854"

Test #27:

score: 0
Accepted
time: 0ms
memory: 3768kb

input:

998 35 0
1

output:

120341894

result:

ok "120341894"

Test #28:

score: 0
Accepted
time: 1ms
memory: 3724kb

input:

1000 30 0
1

output:

152799538

result:

ok "152799538"

Test #29:

score: 0
Accepted
time: 1ms
memory: 3768kb

input:

1000 82 0
1

output:

117109540

result:

ok "117109540"

Test #30:

score: 0
Accepted
time: 1ms
memory: 4064kb

input:

1000 100 0
1

output:

89805014

result:

ok "89805014"

Subtask #6:

score: 5
Accepted

Dependency #4:

100%
Accepted

Dependency #5:

100%
Accepted

Test #31:

score: 5
Accepted
time: 69ms
memory: 4064kb

input:

99998 20726 0
1

output:

63876769

result:

ok "63876769"

Test #32:

score: 0
Accepted
time: 90ms
memory: 3768kb

input:

99998 10270 0
1

output:

47691333

result:

ok "47691333"

Test #33:

score: 0
Accepted
time: 132ms
memory: 4048kb

input:

100000 30030 0
1

output:

80481158

result:

ok "80481158"

Test #34:

score: 0
Accepted
time: 137ms
memory: 3764kb

input:

100000 94710 0
1

output:

61977663

result:

ok "61977663"

Test #35:

score: 0
Accepted
time: 46ms
memory: 3772kb

input:

100000 100000 0
1

output:

163629325

result:

ok "163629325"

Subtask #7:

score: 0
Wrong Answer

Dependency #6:

100%
Accepted

Test #36:

score: 0
Wrong Answer
time: 1ms
memory: 3796kb

input:

96 26444 100
1

output:

126671096

result:

wrong answer 1st words differ - expected: '28274469', found: '126671096'

Subtask #8:

score: 0
Skipped

Dependency #1:

0%

Subtask #9:

score: 0
Runtime Error

Test #46:

score: 0
Runtime Error

input:

99997 3 997
2
0 1 2
1 2 0
2 0 1
0 0 0
0 1 2
0 2 1

output:


result: