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IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#235437#7647. 树哈希hos_lyric#43 0ms3912kbC++1412.4kb2023-11-02 19:22:402024-07-04 02:22:47

Judging History

你现在查看的是最新测评结果

  • [2024-07-04 02:22:47]
  • 评测
  • 测评结果:43
  • 用时:0ms
  • 内存:3912kb
  • [2023-11-02 19:22:40]
  • 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")


#ifndef LIBRA_OTHER_INT128_H_
#define LIBRA_OTHER_INT128_H_

#include <stdio.h>
#include <iostream>

constexpr unsigned __int128 toUInt128(const char *s) {
  unsigned __int128 x = 0;
  for (; *s; ++s) x = x * 10 + (*s - '0');
  return x;
}
constexpr __int128 toInt128(const char *s) {
  if (*s == '-') return -toInt128(s + 1);
  __int128 x = 0;
  for (; *s; ++s) x = x * 10 + (*s - '0');
  return x;
}
unsigned __int128 inUInt128() {
  static char buf[41];
  scanf("%s", buf);
  return toUInt128(buf);
}
__int128 inInt128() {
  static char buf[41];
  scanf("%s", buf);
  return toInt128(buf);
}

void out(unsigned __int128 x) {
  static char buf[41];
  int len = 0;
  do { buf[len++] = '0' + static_cast<int>(x % 10); } while (x /= 10);
  for (int i = len; --i >= 0; ) putchar(buf[i]);
}
void out(__int128 x) {
  if (x < 0) {
    putchar('-');
    out(-static_cast<unsigned __int128>(x));
  } else {
    out(static_cast<unsigned __int128>(x));
  }
}
std::ostream &operator<<(std::ostream &os, unsigned __int128 x) {
  static char buf[41];
  int len = 0;
  do { buf[len++] = '0' + static_cast<int>(x % 10); } while (x /= 10);
  for (int i = len; --i >= 0; ) os << buf[i];
  return os;
}
std::ostream &operator<<(std::ostream &os, __int128 x) {
  if (x < 0) {
    os << '-' << -static_cast<unsigned __int128>(x);
  } else {
    os << static_cast<unsigned __int128>(x);
  }
  return os;
}

#endif  // LIBRA_OTHER_INT128_H_


////////////////////////////////////////////////////////////////////////////////
// Barrett
struct ModInt {
  static unsigned M;
  static unsigned long long NEG_INV_M;
  static void setM(unsigned m) { M = m; NEG_INV_M = -1ULL / M; }
  unsigned x;
  ModInt() : x(0U) {}
  ModInt(unsigned x_) : x(x_ % M) {}
  ModInt(unsigned long long x_) : x(x_ % M) {}
  ModInt(int x_) : x(((x_ %= static_cast<int>(M)) < 0) ? (x_ + static_cast<int>(M)) : x_) {}
  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) {
    const unsigned long long y = static_cast<unsigned long long>(x) * a.x;
    const unsigned long long q = static_cast<unsigned long long>((static_cast<unsigned __int128>(NEG_INV_M) * y) >> 64);
    const unsigned long long r = y - M * q;
    x = r - M * (r >= 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; }
};
unsigned ModInt::M;
unsigned long long ModInt::NEG_INV_M;
// !!!Use ModInt::setM!!!
////////////////////////////////////////////////////////////////////////////////

using Mint = ModInt;


using U = unsigned __int128;

constexpr int L = 23;
U fac[L + 1];
U tab[L + 1][L + 1];

int pt[L + 2];
vector<int> szs;
vector<vector<int>> trees;

void dfs(int n, int pos, int rem, int last, vector<int> &now) {
  if (rem == 0) {
    szs.push_back(n);
    trees.push_back(vector<int>(now.begin(), now.begin() + pos));
  } else {
    for (int x = min(pt[rem + 1] - 1, last); x >= 0; --x) {
      now[pos] = x;
      dfs(n, pos + 1, rem - szs[x], x, now);
    }
  }
}

bitset<500'000'000> on;
int add(int x) {
  int ret = 0;
  if (!on[x]) ++ret;
  on.set(x);
  for (const int y : trees[x]) {
    ret += add(y);
  }
  return ret;
}
void rem(int x) {
  on.reset(x);
  for (const int y : trees[x]) {
    rem(y);
  }
}

void run() {
  fac[0] = 1;
  for (int i = 1; i <= L; ++i) {
    fac[i] = fac[i - 1] * i;
  }
  
  for (int n = 1; n <= L; ++n) {
    vector<int> now(n - 1);
    dfs(n, 0, n - 1, pt[n] - 1, now);
    pt[n + 1] = trees.size();
cerr<<"GENED n = "<<n<<endl;
  }
for(int n=1;n<=L;++n)cerr<<pt[n+1]-pt[n]<<" ";cerr<<endl;
cerr<<"pt = ";pv(pt,pt+L+2);
cerr<<"szs = "<<szs<<endl;
cerr<<"trees = "<<trees<<endl;
  
  const int len = trees.size();
  vector<U> isom(len, 1);
  for (int x = 0; x < len; ++x) {
    const int deg = trees[x].size();
    for (int j = 0, k = 0; j < deg; j = k) {
      for (; k < deg && trees[x][j] == trees[x][k]; ++k) {}
      isom[x] *= fac[k - j];
    }
    for (const int y : trees[x]) {
      isom[x] *= isom[y];
    }
  }
  memset(tab, 0, sizeof(tab));
  for (int n = 1; n <= L; ++n) {
    for (int x = pt[n]; x < pt[n + 1]; ++x) {
      const int res = add(x);
      rem(x);
      tab[n][res] += fac[n - 1] / isom[x];
    }
    printf("{");
    for (int i = 0; i <= n; ++i) {
      printf("\"");
      out(tab[n][i]);
      printf("\",");
    }
    printf("},\n");
    fflush(stdout);
  }
}

constexpr char TAB[L + 1][L + 1][40] = {{},
{"0","1",},
{"0","0","1",},
{"0","0","1","2",},
{"0","0","1","9","6",},
{"0","0","1","40","60","24",},
{"0","0","1","135","620","420","120",},
{"0","0","1","576","4950","7320","3240","720",},
{"0","0","1","2331","38262","104790","84000","27720","5040",},
{"0","0","1","9976","329056","1337616","1809360","994560","262080","40320",},
{"0","0","1","49167","2585088","17861760","34401024","29620080","12398400","2721600","362880",},
{"0","0","1","261520","23298570","230333760","650991600","770091840","484596000","163900800","30844800","3628800",},
{"0","0","1","1264923","201666410","3048704010","11992068000","19491650640","16352915040","8108100000","2301868800","379209600","39916800",},
{"0","0","1","7499196","2029955400","40907450760","221673303720","476230803840","528497101440","342689719680","140287593600","34328448000","5029516800","479001600",},
{"0","0","1","48145851","18853513692","569381450352","4090163288640","11572348427640","16380248639040","13684449018240","7234033847040","2523759638400","542788646400","71610739200","6227020800",},
{"0","0","1","282624902","208545510264","8152163189352","77086057904856","278283437271840","500100673952880","520865364539520","348317835465600","155595814133760","47326914835200","9081072000000","1089728640000","87178291200",},
{"0","0","1","1816866915","2162998664400","120347621661540","1468956736840320","6748418405088360","15050302055989200","19370055105601200","15895265315529600","8864170595280000","3432547140422400","925996911840000","160408055808000","17653603968000","1307674368000",},
{"0","0","1","13547611072","26305324897680","1848599474688960","28794041030008800","164309578733664000","452558599710497280","707131804060281600","703619397050169600","476068505552640000","227886842902118400","77965463742566400","18904612446720000","2984984690688000","303380453376000","20922789888000",},
{"0","0","1","95657990591","296154537531504","29061239330523120","574300481045592000","4063118701715892000","13596933593369468160","25639747059038112000","30447531987666393600","24644556812542867200","14192444692384358400","5957501607119462400","1827273024357580800","402504785819136000","58392019445760000","5513155135488000","355687428096000",},
{"0","0","1","728122042512","3992150752821090","485883201817925856","11765951504681397120","101850607783224760320","411387714895093372800","924886619869925905920","1302381750288843544320","1241872782824440166400","847186002528696230400","425046860209017446400","159037105867037798400","44240722425265766400","8930511022777344000","1198310945255424000","105639166144512000","6402373705728000",},
{"0","0","1","5844862093851","49629324211196850","8133726351536089362","247590273863499582816","2594284833364382851200","12553781400629160148800","33409626709338411517440","55227445993192438667520","61602037034137852412160","49023018235978449062400","28922067190973897740800","12867542548242897715200","4347066225570292224000","1107072798346548633600","206284747564127232000","25748212919869440000","2128789257154560000","121645100408832000",},
{"0","0","1","45722313018340","731491249474061560","146412283120585358040","5351387318240052546360","67408256560800561799680","387067548577886172576000","1211702321528249181523200","2334991013551935841939200","3019924443314785123353600","2781722291541984203212800","1900162368982181880576000","988504608959262210816000","395427474182225092608000","121871529247120773120000","28635074168588439552000","4955517277904793600000","578219710609981440000","45008687151267840000","2432902008176640000",},
{"0","0","1","409849573362075","9980697826981109340","2643243313029276118560","118749611238270471406080","1783810597926000799670760","12094459277563079465045760","44216858973432482473248000","98756700763495529324908800","147085554484381511430432000","155550588024711605281920000","121975403788232366058086400","73045805344421036295168000","34015932206018981906688000","12371199207720728094720000","3508094687107727388672000","765421504692573560832000","123672011894394163200000","13547614832531619840000","996273372348334080000","51090942171709440000",},
{"0","0","1","3905424441436210","157030294150775211012","51157209382886943733320","2715323184716504538524040","48251942280453907180009440","383106358874012690822708880","1627538131680709191848593920","4188102212468367351585504000","7143777101967256790601408000","8615591548064982329232384000","7695284239431545114963404800","5255839969769648504044800000","2804790139728003882943488000","1183280015704811845556736000","394819430752967688179712000","103743023855753999388672000","21135672218439208894464000","3202886907165950484480000","330643547421246259200000","23042014919440957440000","1124000727777607680000",},
};

int main() {
  // run(); return 0;
  
  int N;
  Mint Q;
  unsigned MO;
  for (; ~scanf("%d%u%u", &N, &Q.x, &MO); ) {
    Mint::setM(MO);
    for (int n = 1; n <= N; ++n) {
      Mint ans = 0;
      if (n <= L) {
        for (int i = n; i >= 0; --i) {
          (ans *= Q) += (unsigned)(toUInt128(TAB[n][i]) % MO);
        }
      }
      printf("%u\n", ans.x);
    }
  }
  return 0;
}

Details

Tip: Click on the bar to expand more detailed information

Subtask #1:

score: 43
Acceptable Answer

Test #1:

score: 43
Acceptable Answer
time: 0ms
memory: 3852kb

input:

100 910342260 935929297

output:

910342260
816177711
569226551
514707635
267406725
391906453
250727611
208481307
81485772
23235693
216730633
285646992
175230876
274553119
174038157
203318484
775234565
322891510
933522659
900692754
745314049
700055439
779013783
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
...

result:

points 0.430 You got 43 pts!

Test #2:

score: 43
Acceptable Answer
time: 0ms
memory: 3912kb

input:

100 222959056 947643239

output:

222959056
358599927
365062242
287299555
872152310
785181552
689517811
751458049
373969559
887125628
238000283
265869067
862846962
717459206
118380127
903859172
38731072
220551290
311944377
678478487
757437607
696077670
937732236
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0...

result:

points 0.430 You got 43 pts!

Test #3:

score: 43
Acceptable Answer
time: 0ms
memory: 3832kb

input:

100 135352674 235854343

output:

135352674
116843515
129198122
128256418
202034449
101078108
134511179
26177395
38146936
177689345
171471260
220203615
2725266
54489245
202150371
51581049
9159057
174134120
214954721
6858381
164936156
136507834
11983036
0
0
0
0
0
0
0
0
0
0
0
0
0
0
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0
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0
0
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0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0...

result:

points 0.430 You got 43 pts!

Test #4:

score: 43
Acceptable Answer
time: 0ms
memory: 3804kb

input:

100 538608644 566215339

output:

538608644
365236991
134179965
39370099
416828003
17910602
226317362
529379896
407121368
81806097
249408176
336758120
296361261
35236747
429449088
328368699
409154256
418665686
24463075
203118458
352974481
3351773
506522141
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0...

result:

points 0.430 You got 43 pts!

Test #5:

score: 43
Acceptable Answer
time: 0ms
memory: 3840kb

input:

100 56831820 281897771

output:

56831820
213573518
5338712
114481529
104176011
222091299
258318286
168492731
248042852
279768543
163273831
250332871
125456436
55441194
94771937
85241933
265069860
227132810
189427807
26222782
184487649
201740742
267160664
0
0
0
0
0
0
0
0
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0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0...

result:

points 0.430 You got 43 pts!