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IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#860328#9923. Ma Meilleure Ennemiehos_lyricAC ✓228ms5120kbC++147.8kb2025-01-18 12:36:042025-01-18 12:36:13

Judging History

你现在查看的是最新测评结果

  • [2025-01-18 12:36:13]
  • 评测
  • 测评结果:AC
  • 用时:228ms
  • 内存:5120kb
  • [2025-01-18 12:36:04]
  • 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>;

template <class T> T power(T a, long long e, T m) {
  for (T b = 1; ; (a *= a) %= m) {
    if (e & 1) (b *= a) %= m;
    if (!(e >>= 1)) return b;
  }
}

long long gcd(long long a, long long b) {
  if (a < 0) a = -a;
  if (b < 0) b = -b;
  if (a == 0) return b;
  if (b == 0) return a;
  const int s = __builtin_ctzll(a | b);
  a >>= __builtin_ctzll(a);
  do {
    b >>= __builtin_ctzll(b);
    if (a > b) swap(a, b);
    b -= a;
  } while (b);
  return a << s;
}

bool isPrime(long long n) {
  if (n <= 1 || n % 2 == 0) return (n == 2);
  const int s = __builtin_ctzll(n - 1);
  const long long d = (n - 1) >> s;
  // http://miller-rabin.appspot.com/
  for (const long long base : {2, 325, 9375, 28178, 450775, 9780504, 1795265022}) {
    __int128 a = base % n;
    if (a == 0) continue;
    a = power<__int128>(a, d, n);
    if (a == 1 || a == n - 1) continue;
    bool ok = false;
    for (int i = 0; i < s - 1; ++i) {
      (a *= a) %= n;
      if (a == n - 1) {
        ok = true;
        break;
      }
    }
    if (!ok) return false;
  }
  return true;
}

// n >= 3, odd
void factorizeRec(long long n, vector<long long> &ps) {
  static constexpr int BLOCK = 256;
  if (isPrime(n)) {
    ps.push_back(n);
  } else {
    for (long long c = 2; ; ++c) {
      long long x, y = 2, y0, z = 1, d = 1;
      for (int l = 1; d == 1; l <<= 1) {
        x = y;
        for (int i = 0; i < l; ++i) y = (static_cast<__int128>(y) * y + c) % n;
        for (int i = 0; i < l; i += BLOCK) {
          y0 = y;
          for (int j = 0; j < BLOCK && j < l - i; ++j) {
            y = (static_cast<__int128>(y) * y + c) % n;
            z = (static_cast<__int128>(z) * (y - x)) % n;
          }
          if ((d = gcd(z, n)) != 1) break;
        }
      }
      if (d == n) {
        for (y = y0; ; ) {
          y = (static_cast<__int128>(y) * y + c) % n;
          if ((d = gcd(y - x, n)) != 1) break;
        }
      }
      if (d != n) {
        factorizeRec(d, ps);
        factorizeRec(n / d, ps);
        return;
      }
    }
  }
}

vector<pair<long long, int>> factorize(long long n) {
  vector<pair<long long, int>> pes;
  if (n >= 2) {
    const int s = __builtin_ctzll(n);
    if (s) pes.emplace_back(2, s);
    if (n >> s >= 2) {
      vector<long long> ps;
      factorizeRec(n >> s, ps);
      std::sort(ps.begin(), ps.end());
      const int psLen = ps.size();
      for (int i = 0, j = 0; i < psLen; i = j) {
        for (; j < psLen && ps[i] == ps[j]; ++j) {}
        pes.emplace_back(ps[i], j - i);
      }
    }
  }
  return pes;
}


int main() {
  Int N, M;
  for (; ~scanf("%lld%lld", &N, &M); ) {
    auto PE = factorize(N);
    reverse(PE.begin(), PE.end());
// cerr<<"PE = "<<PE<<endl;
    const int L = PE.size();
    vector<Int> P(L);
    vector<int> E(L), EE(L + 1);
    EE[0] = 1;
    for (int i = 0; i < L; ++i) {
      P[i] = PE[i].first;
      E[i] = PE[i].second;
      EE[i + 1] = EE[i] * (E[i] + 1);
    }
    vector<Int> D(EE[L]);
    D[0] = 1;
    for (int i = 0; i < L; ++i) {
      for (int u = EE[i]; u < EE[i + 1]; ++u) {
        D[u] = D[u - EE[i]] * P[i];
      }
    }
// cerr<<"D = "<<D<<endl;
    
    vector<Mint> W(EE[L]);
    for (int u = 0; u < EE[L]; ++u) {
      W[u] = M / D[u];
    }
    for (int i = 0; i < L; ++i) {
      for (int u = 0; u < EE[L]; ++u) if (D[u] % P[i] == 0) {
        W[u - EE[i]] -= W[u];
      }
    }
// cerr<<"W = "<<W<<endl;
    
    auto dp = W;
    vector<Mint> work(1 << L);
    vector<int> mask(1 << L);
    for (int u = EE[L]; --u >= 0; ) {
      // kubaru
      int len = 1;
      work[0] = dp[u];
      mask[0] = 0;
      for (int i = 0; i < L; ++i) if (D[u] % P[i] == 0) {
        for (int h = 0; h < len; ++h) {
          work[len + h] = work[h].pow(P[i]);
          mask[len + h] = mask[h] + EE[i];
        }
        len <<= 1;
      }
      for (int h = 1; h < len; ++h) {
        const int v = u - mask[h];
        dp[v] -= (__builtin_parity(h)?-1:+1) * work[h];
      }
    }
// cerr<<"dp = "<<dp<<endl;
    
    printf("%u\n", dp[0].x);
  }
  return 0;
}

这程序好像有点Bug,我给组数据试试?

Details

Tip: Click on the bar to expand more detailed information

Test #1:

score: 100
Accepted
time: 1ms
memory: 3840kb

input:

4 4

output:

6

result:

ok 1 number(s): "6"

Test #2:

score: 0
Accepted
time: 0ms
memory: 3840kb

input:

2338 1470

output:

18530141

result:

ok 1 number(s): "18530141"

Test #3:

score: 0
Accepted
time: 228ms
memory: 4864kb

input:

941958815880242160 945059392259579928

output:

57894579

result:

ok 1 number(s): "57894579"

Test #4:

score: 0
Accepted
time: 210ms
memory: 5120kb

input:

876240758958364800 893076802030549616

output:

620071951

result:

ok 1 number(s): "620071951"

Test #5:

score: 0
Accepted
time: 213ms
memory: 4736kb

input:

784965679900201800 821160182532263553

output:

66266543

result:

ok 1 number(s): "66266543"

Test #6:

score: 0
Accepted
time: 184ms
memory: 4864kb

input:

511140442725712800 686753968601283360

output:

297358720

result:

ok 1 number(s): "297358720"

Test #7:

score: 0
Accepted
time: 170ms
memory: 5120kb

input:

897612484786617600 946301485716311910

output:

898294924

result:

ok 1 number(s): "898294924"

Test #8:

score: 0
Accepted
time: 209ms
memory: 4992kb

input:

876240758958364800 949973670837969766

output:

258455620

result:

ok 1 number(s): "258455620"

Test #9:

score: 0
Accepted
time: 199ms
memory: 4992kb

input:

657180569218773600 863561658282273171

output:

674933697

result:

ok 1 number(s): "674933697"

Test #10:

score: 0
Accepted
time: 56ms
memory: 4096kb

input:

9350130049860600 186648010357925450

output:

70597352

result:

ok 1 number(s): "70597352"

Test #11:

score: 0
Accepted
time: 32ms
memory: 4224kb

input:

890488576177200 656051601794505564

output:

18986311

result:

ok 1 number(s): "18986311"

Test #12:

score: 0
Accepted
time: 0ms
memory: 3840kb

input:

301180038799975436 468464504626007448

output:

288952066

result:

ok 1 number(s): "288952066"

Test #13:

score: 0
Accepted
time: 1ms
memory: 3840kb

input:

523580256903724660 763948483254956750

output:

809203657

result:

ok 1 number(s): "809203657"

Test #14:

score: 0
Accepted
time: 1ms
memory: 3840kb

input:

789351011022563115 821578006156306391

output:

498840902

result:

ok 1 number(s): "498840902"

Test #15:

score: 0
Accepted
time: 0ms
memory: 3840kb

input:

999999999999999737 999999999999999992

output:

716070890

result:

ok 1 number(s): "716070890"

Test #16:

score: 0
Accepted
time: 1ms
memory: 3840kb

input:

999999999999999967 999999999999999976

output:

716070874

result:

ok 1 number(s): "716070874"

Test #17:

score: 0
Accepted
time: 1ms
memory: 3840kb

input:

999999874000003969 999999879650092039

output:

877014122

result:

ok 1 number(s): "877014122"

Test #18:

score: 0
Accepted
time: 1ms
memory: 3840kb

input:

999999274000130869 999999780452875480

output:

492898975

result:

ok 1 number(s): "492898975"

Test #19:

score: 0
Accepted
time: 1ms
memory: 3840kb

input:

999941001154992503 999975909388637582

output:

155276407

result:

ok 1 number(s): "155276407"

Test #20:

score: 0
Accepted
time: 1ms
memory: 3840kb

input:

999815008942884521 999872058299052785

output:

547534325

result:

ok 1 number(s): "547534325"

Test #21:

score: 0
Accepted
time: 169ms
memory: 5120kb

input:

897612484786617600 952878466220498188

output:

294147460

result:

ok 1 number(s): "294147460"

Test #22:

score: 0
Accepted
time: 154ms
memory: 5120kb

input:

961727662271376000 974988801671467969

output:

572742162

result:

ok 1 number(s): "572742162"

Test #23:

score: 0
Accepted
time: 209ms
memory: 5120kb

input:

876240758958364800 893903040913665744

output:

435836298

result:

ok 1 number(s): "435836298"

Test #24:

score: 0
Accepted
time: 169ms
memory: 5120kb

input:

897612484786617600 952878466220498188

output:

294147460

result:

ok 1 number(s): "294147460"

Test #25:

score: 0
Accepted
time: 108ms
memory: 4992kb

input:

970391875444992000 980657019550811949

output:

815016337

result:

ok 1 number(s): "815016337"

Test #26:

score: 0
Accepted
time: 0ms
memory: 3840kb

input:

1 1000000000000000000

output:

716070898

result:

ok 1 number(s): "716070898"

Test #27:

score: 0
Accepted
time: 0ms
memory: 3840kb

input:

916327 9000044616510005

output:

329767168

result:

ok 1 number(s): "329767168"

Test #28:

score: 0
Accepted
time: 0ms
memory: 3840kb

input:

7163391 998244353998244353

output:

438645041

result:

ok 1 number(s): "438645041"

Test #29:

score: 0
Accepted
time: 1ms
memory: 3840kb

input:

4033 4090

output:

392924428

result:

ok 1 number(s): "392924428"

Extra Test:

score: 0
Extra Test Passed