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#727313#4264. 普罗达科特TheZoneCompile Error//C++2014.9kb2024-11-09 12:40:162024-11-09 12:40:17

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  • [2024-11-09 12:40:17]
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  • [2024-11-09 12:40:16]
  • Submitted

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 = 1'000'000'021;
using Mint = ModInt<MO>;

constexpr int LIM_INV = 1010;
Mint inv[LIM_INV], fac[LIM_INV], invFac[LIM_INV];

void prepare() {
  inv[1] = 1;
  for (int i = 2; i < LIM_INV; ++i) {
    inv[i] = -((Mint::M / i) * inv[Mint::M % i]);
  }
  fac[0] = invFac[0] = 1;
  for (int i = 1; i < LIM_INV; ++i) {
    fac[i] = fac[i - 1] * i;
    invFac[i] = invFac[i - 1] * inv[i];
  }
}
Mint binom(Int n, Int k) {
  if (n < 0) {
    if (k >= 0) {
      return ((k & 1) ? -1 : +1) * binom(-n + k - 1, k);
    } else if (n - k >= 0) {
      return (((n - k) & 1) ? -1 : +1) * binom(-k - 1, n - k);
    } else {
      return 0;
    }
  } else {
    if (0 <= k && k <= n) {
      assert(n < LIM_INV);
      return fac[n] * invFac[k] * invFac[n - k];
    } else {
      return 0;
    }
  }
}

////////////////////////////////////////////////////////////////////////////////

Mint interpolateIota(const vector<Mint> &fs, Mint x) {
  const int fsLen = fs.size();
  vector<Mint> prodR(fsLen + 1);
  prodR[fsLen] = 1;
  for (int i = fsLen; --i >= 0; ) prodR[i] = (x - i) * prodR[i + 1];
  Mint ans = 0;
  Mint prodL = 1;
  for (int i = 0; i < fsLen; ++i) {
    // (i - 0) ... (i - (i - 1)) (i - (i + 1)) ... (i - (fsLen - 1))
    ans += invFac[i] * (((fsLen - 1 - i) & 1) ? -1 : +1) *
           invFac[fsLen - 1 - i] * fs[i] * prodL * prodR[i + 1];
    prodL *= (x - i);
  }
  return ans;
}


void exper() {
  constexpr int K = 25;
  set<int> dp[K + 1][K + 1];
  dp[0][0].insert(1);
  for (int k = 0; k < K; ++k) for (int f = 0; f <= k; ++f) {
    for (const int l : dp[k][f]) {
      for (int dk = 1; dk <= K - k; ++dk) {
        dp[k + dk][f + 1].insert(l / __gcd(l, dk) * dk);
      }
    }
  }
  for (int k = 1; k <= K; ++k) {
    int mx = 0;
    for (int f = 1; f <= k; ++f) chmax(mx, *dp[k][f].rbegin() * f);
    cerr << k << ": " << mx << ";";
    for (int f = 1; f <= k; ++f) cerr << " " << *dp[k][f].rbegin();
    cerr << endl;
  }
}

/*
  c: part of partition of K
    1 / (1 - x^c)
    PIE: (1 - x^((b+1)c)) / (1 - x^c)
*/

// max[partition of K] (lcm * length)
constexpr int LEN = 5040;

int N, K;
vector<Int> A, B;

vector<int> fs;

// [x^a] x^((b+1)i) / Q(x)
vector<vector<Mint>> at;

// P(x^(b+1)) / Q(x)
Mint sub(int c, Mint w, const vector<Mint> &ps) {
  for (; c && !fs[c]; --c) {}
  Mint ret = 0;
  if (!c) {
    ret = w;
    for (int n = 0; n < N; ++n) {
      Mint sum = 0;
      for (int i = 0; i < (int)ps.size(); ++i) {
        sum += ps[i] * at[n][i];
      }
      ret *= sum;
    }
  } else {
    auto pps = ps;
    for (int g = 0; ; ++g) {
      ret += sub(c - 1, w * binom(fs[c], g) * (g&1?-1:+1), pps);
      if (g == fs[c]) break;
      pps.resize((int)pps.size() + c, 0);
      for (int i = (int)pps.size(); --i >= c; ) pps[i] -= pps[i - c];
    }
  }
  return ret;
}

Mint ans0, ans1;

// rs = (\prod[c] (1 / Q(x))) mod x^LEN
void dfs(int k, int c, int s, Mint w, const vector<Mint> &rs) {
  if (!k) {
    int l = 1, m = 0;
    for (c = 1; c <= K; ++c) if (fs[c]) {
      l = l / __gcd(l, c) * c;
      m += fs[c];
    }
    assert(l * m <= LEN);
    vector<vector<Mint>> rss(l, vector<Mint>(m));
    for (int i = 0; i < l * m; ++i) rss[i % l][i / l] = rs[i];
    at.assign(N, vector<Mint>(K + 1, 0));
    for (int n = 0; n < N; ++n) {
      Int a = A[n];
      for (int i = 0; i <= K; ++i) {
        at[n][i] = interpolateIota(rss[a % l], a / l);
        if ((a -= (B[n] + 1)) < 0) break;
      }
    }
    const Mint res = sub(K, 1, {1});
    ans0 += s * w * res;
    ans1 += w * res;
  } else {
    for (chmin(c, k); c; --c) {
      int ss = s;
      Mint ww = w;
      auto rrs = rs;
      int &f = fs[c];
      for (f = 1; f * c <= k; ++f) {
        if ((c-1)&1) ss = -ss;
        ww *= inv[c];
        ww *= inv[f];
        for (int i = c; i < LEN; ++i) rrs[i] += rrs[i - c];
        dfs(k - f * c, c - 1, ss, ww, rrs);
      }
      f = 0;
    }
  }
}

int main() {
  prepare();
  // exper();
  
  for (; ~scanf("%d%d", &N, &K); ) {
    A.resize(N); for (int n = 0; n < N; ++n) scanf("%lld", &A[n]);
    B.resize(N); for (int n = 0; n < N; ++n) scanf("%lld", &B[n]);
    
    fs.assign(K + 1, 0);
    ans0 = ans1 = 0;
    vector<Mint> rs(LEN, 0);
    rs[0] = 1;
    dfs(K, K, 1, 1, rs);
    
    printf("%u %u\n", ans0.x, ans1.x);
  }
  return 0;
}
/*#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 = 1'000'000'021;
using Mint = ModInt<MO>;

constexpr int LIM_INV = 1010;
Mint inv[LIM_INV], fac[LIM_INV], invFac[LIM_INV];

void prepare() {
  inv[1] = 1;
  for (int i = 2; i < LIM_INV; ++i) {
    inv[i] = -((Mint::M / i) * inv[Mint::M % i]);
  }
  fac[0] = invFac[0] = 1;
  for (int i = 1; i < LIM_INV; ++i) {
    fac[i] = fac[i - 1] * i;
    invFac[i] = invFac[i - 1] * inv[i];
  }
}
Mint binom(Int n, Int k) {
  if (n < 0) {
    if (k >= 0) {
      return ((k & 1) ? -1 : +1) * binom(-n + k - 1, k);
    } else if (n - k >= 0) {
      return (((n - k) & 1) ? -1 : +1) * binom(-k - 1, n - k);
    } else {
      return 0;
    }
  } else {
    if (0 <= k && k <= n) {
      assert(n < LIM_INV);
      return fac[n] * invFac[k] * invFac[n - k];
    } else {
      return 0;
    }
  }
}

////////////////////////////////////////////////////////////////////////////////

Mint interpolateIota(const vector<Mint> &fs, Mint x) {
  const int fsLen = fs.size();
  vector<Mint> prodR(fsLen + 1);
  prodR[fsLen] = 1;
  for (int i = fsLen; --i >= 0; ) prodR[i] = (x - i) * prodR[i + 1];
  Mint ans = 0;
  Mint prodL = 1;
  for (int i = 0; i < fsLen; ++i) {
    // (i - 0) ... (i - (i - 1)) (i - (i + 1)) ... (i - (fsLen - 1))
    ans += invFac[i] * (((fsLen - 1 - i) & 1) ? -1 : +1) *
           invFac[fsLen - 1 - i] * fs[i] * prodL * prodR[i + 1];
    prodL *= (x - i);
  }
  return ans;
}


void exper() {
  constexpr int K = 25;
  set<int> dp[K + 1][K + 1];
  dp[0][0].insert(1);
  for (int k = 0; k < K; ++k) for (int f = 0; f <= k; ++f) {
    for (const int l : dp[k][f]) {
      for (int dk = 1; dk <= K - k; ++dk) {
        dp[k + dk][f + 1].insert(l / __gcd(l, dk) * dk);
      }
    }
  }
  for (int k = 1; k <= K; ++k) {
    int mx = 0;
    for (int f = 1; f <= k; ++f) chmax(mx, *dp[k][f].rbegin() * f);
    cerr << k << ": " << mx << ";";
    for (int f = 1; f <= k; ++f) cerr << " " << *dp[k][f].rbegin();
    cerr << endl;
  }
}

/*
  c: part of partition of K
    1 / (1 - x^c)
    PIE: (1 - x^((b+1)c)) / (1 - x^c)
*/

// max[partition of K] (lcm * length)
constexpr int LEN = 5040;

int N, K;
vector<Int> A, B;

vector<int> fs;

// [x^a] x^((b+1)i) / Q(x)
vector<vector<Mint>> at;

// P(x^(b+1)) / Q(x)
Mint sub(int c, Mint w, const vector<Mint> &ps) {
  for (; c && !fs[c]; --c) {}
  Mint ret = 0;
  if (!c) {
    ret = w;
    for (int n = 0; n < N; ++n) {
      Mint sum = 0;
      for (int i = 0; i < (int)ps.size(); ++i) {
        sum += ps[i] * at[n][i];
      }
      ret *= sum;
    }
  } else {
    auto pps = ps;
    for (int g = 0; ; ++g) {
      ret += sub(c - 1, w * binom(fs[c], g) * (g&1?-1:+1), pps);
      if (g == fs[c]) break;
      pps.resize((int)pps.size() + c, 0);
      for (int i = (int)pps.size(); --i >= c; ) pps[i] -= pps[i - c];
    }
  }
  return ret;
}

Mint ans0, ans1;

// rs = (\prod[c] (1 / Q(x))) mod x^LEN
void dfs(int k, int c, int s, Mint w, const vector<Mint> &rs) {
  if (!k) {
    int l = 1, m = 0;
    for (c = 1; c <= K; ++c) if (fs[c]) {
      l = l / __gcd(l, c) * c;
      m += fs[c];
    }
  }
  return 0;
}
*/
Source code, Language: C++20

Details 

answer.code:410:15: error: redefinition of ‘constexpr const int LEN’
  410 | constexpr int LEN = 5040;
      |               ^~~
answer.code:158:15: note: ‘constexpr const int LEN’ previously defined here
  158 | constexpr int LEN = 5040;
      |               ^~~
answer.code:412:5: error: redefinition of ‘int N’
  412 | int N, K;
      |     ^
answer.code:160:5: note: ‘int N’ previously declared here
  160 | int N, K;
      |     ^
answer.code:412:8: error: redefinition of ‘int K’
  412 | int N, K;
      |        ^
answer.code:160:8: note: ‘int K’ previously declared here
  160 | int N, K;
      |        ^
answer.code:413:13: error: redefinition of ‘std::vector<long long int> A’
  413 | vector<Int> A, B;
      |             ^
answer.code:161:13: note: ‘std::vector<long long int> A’ previously defined here
  161 | vector<Int> A, B;
      |             ^
answer.code:413:16: error: redefinition of ‘std::vector<long long int> B’
  413 | vector<Int> A, B;
      |                ^
answer.code:161:16: note: ‘std::vector<long long int> B’ previously defined here
  161 | vector<Int> A, B;
      |                ^
answer.code:415:13: error: redefinition of ‘std::vector<int> fs’
  415 | vector<int> fs;
      |             ^~
answer.code:163:13: note: ‘std::vector<int> fs’ previously defined here
  163 | vector<int> fs;
      |             ^~
answer.code:418:22: error: redefinition of ‘std::vector<std::vector<ModInt<1000000021> > > at’
  418 | vector<vector<Mint>> at;
      |                      ^~
answer.code:166:22: note: ‘std::vector<std::vector<ModInt<1000000021> > > at’ previously defined here
  166 | vector<vector<Mint>> at;
      |                      ^~
answer.code:421:6: error: redefinition of ‘Mint sub(int, Mint, const std::vector<ModInt<1000000021> >&)’
  421 | Mint sub(int c, Mint w, const vector<Mint> &ps) {
      |      ^~~
answer.code:169:6: note: ‘Mint sub(int, Mint, const std::vector<ModInt<1000000021> >&)’ previously defined here
  169 | Mint sub(int c, Mint w, const vector<Mint> &ps) {
      |      ^~~
answer.code:445:6: error: redefinition of ‘Mint ans0’
  445 | Mint ans0, ans1;
      |      ^~~~
answer.code:193:6: note: ‘Mint ans0’ previously defined here
  193 | Mint ans0, ans1;
      |      ^~~~
answer.code:445:12: error: redefinition of ‘Mint ans1’
  445 | Mint ans0, ans1;
      |            ^~~~
answer.code:193:12: note: ‘Mint ans1’ previously defined here
  193 | Mint ans0, ans1;
      |            ^~~~
answer.code:448:6: error: redefinition of ‘void dfs(int, int, int, Mint, const std::vector<ModInt<1000000021> >&)’
  448 | void dfs(int k, int c, int s, Mint w, const vector<Mint> &rs) {
      |      ^~~
answer.code:196:6: note: ‘void dfs(int, int, int, Mint, const std::vector<ModInt<1000000021> >&)’ previously defined here
  196 | void dfs(int k, int c, int s, Mint w, const vector<Mint> &rs) {
      |      ^~~
answer.code: In function ‘void dfs(int, int, int, Mint, const std::vector<ModInt<1000000021> >&)’:
answer.code:456:10: error: return-statement with a value, in function returning ‘void’ [-fpermissive]
  456 |   return 0;
      |          ^
answer.code: At global scope:
answer.code:458:2: error: expected unqualified-id before ‘/’ token
  458 | */
      |  ^
answer.code: In function ‘int main()’:
answer.code:240:51: warning: ignoring return value of ‘int scanf(const char*, ...)’ declared with attribute ‘warn_unused_result’ [-Wunused-result]
  240 |     A.resize(N); for (int n = 0; n < N; ++n) scanf("%lld", &A[n]);
      |                                              ~~~~~^~~~~~~~~~~~~~~
answer.code:241:51: warning: ignoring return value of ‘int scanf(const char*, ...)’ declared with attribute ‘warn_unused_result’ [-Wunused-result]
  241 |     B.resize(N); for (int n = 0; n < N; ++n) scanf("%lld", &B[n]);
      |                                              ~~~~~^~~~~~~~~~~~~~~
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