結果

問題 No.1632 Sorting Integers (GCD of M)
コンテスト
ユーザー 👑Zack Ni
提出日時 2021-08-02 11:16:57
言語 C++14
(gcc 13.3.0 + boost 1.87.0)
結果
AC  
実行時間 2 ms / 2,000 ms
コード長 11,394 bytes
コンパイル時間 2,153 ms
コンパイル使用メモリ 182,684 KB
実行使用メモリ 5,376 KB
最終ジャッジ日時 2024-09-21 17:33:47
合計ジャッジ時間 3,669 ms
ジャッジサーバーID
（参考情報） 		judge2 / judge4
このコードへのチャレンジ
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ファイルパターン 結果
sample AC * 4
other AC * 59
権限があれば一括ダウンロードができます

ソースコード

diff # 

#pragma GCC optimize ("Ofast")
#include<bits/stdc++.h>
using namespace std;
#define MD (1000000007U)
template<class T> struct cLtraits_identity{
  using type = T;
}
;
template<class T> using cLtraits_try_make_signed =
  typename conditional<
    is_integral<T>::value,
    make_signed<T>,
    cLtraits_identity<T>
    >::type;
struct mint{
  static unsigned md;
  static unsigned W;
  static unsigned R;
  static unsigned Rinv;
  static unsigned mdninv;
  static unsigned RR;
  unsigned val;
  mint(){
    val=0;
  }
  mint(int a){
    val = mulR(a);
  }
  mint(unsigned a){
    val = mulR(a);
  }
  mint(long long a){
    val = mulR(a);
  }
  mint(unsigned long long a){
    val = mulR(a);
  }
  int get_inv(long long a, int md){
    long long t=a;
    long long s=md;
    long long u=1;
    long long v=0;
    long long e;
    while(s){
      e=t/s;
      t-=e*s;
      u-=e*v;
      swap(t,s);
      swap(u,v);
    }
    if(u<0){
      u+=md;
    }
    return u;
  }
  void setmod(unsigned m){
    int i;
    unsigned t;
    W = 32;
    md = m;
    R = (1ULL << W) % md;
    RR = (unsigned long long)R*R % md;
    switch(m){
      case 104857601:
      Rinv = 2560000;
      mdninv = 104857599;
      break;
      case 998244353:
      Rinv = 232013824;
      mdninv = 998244351;
      break;
      case 1000000007:
      Rinv = 518424770;
      mdninv = 2226617417U;
      break;
      case 1000000009:
      Rinv = 171601999;
      mdninv = 737024967;
      break;
      case 1004535809:
      Rinv = 234947584;
      mdninv = 1004535807;
      break;
      case 1007681537:
      Rinv = 236421376;
      mdninv = 1007681535;
      break;
      case 1012924417:
      Rinv = 238887936;
      mdninv = 1012924415;
      break;
      case 1045430273:
      Rinv = 254466304;
      mdninv = 1045430271;
      break;
      case 1051721729:
      Rinv = 257538304;
      mdninv = 1051721727;
      break;
      default:
      Rinv = get_inv(R, md);
      mdninv = 0;
      t = 0;
      for(i=(0);i<((int)W);i++){
        if(t%2==0){
          t+=md;
          mdninv |= (1U<<i);
        }
        t /= 2;
      }
    }
  }
  unsigned mulR(unsigned a){
    return (unsigned long long)a*R%md;
  }
  unsigned mulR(int a){
    if(a < 0){
      a = a%((int)md)+(int)md;
    }
    return mulR((unsigned)a);
  }
  unsigned mulR(unsigned long long a){
    return mulR((unsigned)(a%md));
  }
  unsigned mulR(long long a){
    a %= (int)md;
    if(a < 0){
      a += md;
    }
    return mulR((unsigned)a);
  }
  unsigned reduce(unsigned T){
    unsigned m = T * mdninv;
    unsigned t = (unsigned)((T + (unsigned long long)m*md) >> W);
    if(t >= md){
      t -= md;
    }
    return t;
  }
  unsigned reduce(unsigned long long T){
    unsigned m = (unsigned)T * mdninv;
    unsigned t = (unsigned)((T + (unsigned long long)m*md) >> W);
    if(t >= md){
      t -= md;
    }
    return t;
  }
  unsigned get(){
    return reduce(val);
  }
  inline mint &operator++(){
    (*this) += 1;
    return *this;
  }
  inline mint &operator--(){
    (*this) -= 1;
    return *this;
  }
  inline mint operator++(int a){
    mint res(*this);
    (*this) += 1;
    return res;
  }
  inline mint operator--(int a){
    mint res(*this);
    (*this) -= 1;
    return res;
  }
  mint &operator+=(mint a){
    val += a.val;
    if(val >= md){
      val -= md;
    }
    return *this;
  }
  mint &operator-=(mint a){
    if(val < a.val){
      val = val + md - a.val;
    }
    else{
      val -= a.val;
    }
    return *this;
  }
  mint &operator*=(mint a){
    val = reduce((unsigned long long)val*a.val);
    return *this;
  }
  mint &operator/=(mint a){
    return *this *= a.inverse();
  }
  mint operator+(mint a){
    return mint(*this)+=a;
  }
  mint operator-(mint a){
    return mint(*this)-=a;
  }
  mint operator*(mint a){
    return mint(*this)*=a;
  }
  mint operator/(mint a){
    return mint(*this)/=a;
  }
  mint operator+(int a){
    return mint(*this)+=mint(a);
  }
  mint operator-(int a){
    return mint(*this)-=mint(a);
  }
  mint operator*(int a){
    return mint(*this)*=mint(a);
  }
  mint operator/(int a){
    return mint(*this)/=mint(a);
  }
  mint operator+(long long a){
    return mint(*this)+=mint(a);
  }
  mint operator-(long long a){
    return mint(*this)-=mint(a);
  }
  mint operator*(long long a){
    return mint(*this)*=mint(a);
  }
  mint operator/(long long a){
    return mint(*this)/=mint(a);
  }
  mint operator-(void){
    mint res;
    if(val){
      res.val=md-val;
    }
    else{
      res.val=0;
    }
    return res;
  }
  operator bool(void){
    return val!=0;
  }
  operator int(void){
    return get();
  }
  operator long long(void){
    return get();
  }
  mint inverse(){
    int a = val;
    int b = md;
    int u = 1;
    int v = 0;
    int t;
    mint res;
    while(b){
      t = a / b;
      a -= t * b;
      swap(a, b);
      u -= t * v;
      swap(u, v);
    }
    if(u < 0){
      u += md;
    }
    res.val = (unsigned long long)u*RR % md;
    return res;
  }
  mint pw(unsigned long long b){
    mint a(*this);
    mint res;
    res.val = R;
    while(b){
      if(b&1){
        res *= a;
      }
      b >>= 1;
      a *= a;
    }
    return res;
  }
  bool operator==(int a){
    return mulR(a)==val;
  }
  bool operator!=(int a){
    return mulR(a)!=val;
  }
}
;
unsigned mint::md;
unsigned mint::W;
unsigned mint::R;
unsigned mint::Rinv;
unsigned mint::mdninv;
unsigned mint::RR;
mint operator+(int a, mint b){
  return mint(a)+=b;
}
mint operator-(int a, mint b){
  return mint(a)-=b;
}
mint operator*(int a, mint b){
  return mint(a)*=b;
}
mint operator/(int a, mint b){
  return mint(a)/=b;
}
mint operator+(long long a, mint b){
  return mint(a)+=b;
}
mint operator-(long long a, mint b){
  return mint(a)-=b;
}
mint operator*(long long a, mint b){
  return mint(a)*=b;
}
mint operator/(long long a, mint b){
  return mint(a)/=b;
}
inline int my_getchar(){
  static char buf[1048576];
  static int s = 1048576;
  static int e = 1048576;
  if(s == e && e == 1048576){
    e = fread(buf, 1, 1048576, stdin);
    s = 0;
  }
  if(s == e){
    return EOF;
  }
  return buf[s++];
}
inline void rd(int &x){
  int k;
  int m=0;
  x=0;
  for(;;){
    k = my_getchar();
    if(k=='-'){
      m=1;
      break;
    }
    if('0'<=k&&k<='9'){
      x=k-'0';
      break;
    }
  }
  for(;;){
    k = my_getchar();
    if(k<'0'||k>'9'){
      break;
    }
    x=x*10+k-'0';
  }
  if(m){
    x=-x;
  }
}
struct MY_WRITER{
  char buf[1048576];
  int s;
  int e;
  MY_WRITER(){
    s = 0;
    e = 1048576;
  }
  ~MY_WRITER(){
    if(s){
      fwrite(buf, 1, s, stdout);
    }
  }
}
;
MY_WRITER MY_WRITER_VAR;
void my_putchar(int a){
  if(MY_WRITER_VAR.s == MY_WRITER_VAR.e){
    fwrite(MY_WRITER_VAR.buf, 1, MY_WRITER_VAR.s, stdout);
    MY_WRITER_VAR.s = 0;
  }
  MY_WRITER_VAR.buf[MY_WRITER_VAR.s++] = a;
}
inline void wt_L(char a){
  my_putchar(a);
}
inline void wt_L(int x){
  int s=0;
  int m=0;
  char f[10];
  if(x<0){
    m=1;
    x=-x;
  }
  while(x){
    f[s++]=x%10;
    x/=10;
  }
  if(!s){
    f[s++]=0;
  }
  if(m){
    my_putchar('-');
  }
  while(s--){
    my_putchar(f[s]+'0');
  }
}
inline void wt_L(unsigned x){
  int s=0;
  char f[10];
  while(x){
    f[s++]=x%10;
    x/=10;
  }
  if(!s){
    f[s++]=0;
  }
  while(s--){
    my_putchar(f[s]+'0');
  }
}
inline void wt_L(long long x){
  int s=0;
  int m=0;
  char f[20];
  if(x<0){
    m=1;
    x=-x;
  }
  while(x){
    f[s++]=x%10;
    x/=10;
  }
  if(!s){
    f[s++]=0;
  }
  if(m){
    my_putchar('-');
  }
  while(s--){
    my_putchar(f[s]+'0');
  }
}
inline void wt_L(unsigned long long x){
  int s=0;
  char f[21];
  while(x){
    f[s++]=x%10;
    x/=10;
  }
  if(!s){
    f[s++]=0;
  }
  while(s--){
    my_putchar(f[s]+'0');
  }
}
inline void wt_L(mint x){
  int i;
  i = (int)x;
  wt_L(i);
}
int WRITER_DOUBLE_DIGIT = 15;
inline int writerDigit_double(){
  return WRITER_DOUBLE_DIGIT;
}
inline void writerDigit_double(int d){
  WRITER_DOUBLE_DIGIT = d;
}
inline void wt_L(double x){
  const int d = WRITER_DOUBLE_DIGIT;
  int k;
  int r;
  double v;
  if(x!=x || (x==x+1 && x==2*x)){
    my_putchar('E');
    my_putchar('r');
    my_putchar('r');
    return;
  }
  if(x < 0){
    my_putchar('-');
    x = -x;
  }
  x += 0.5 * pow(0.1, d);
  r = 0;
  v = 1;
  while(x >= 10*v){
    v *= 10;
    r++;
  }
  while(r >= 0){
    r--;
    k = floor(x / v);
    if(k >= 10){
      k = 9;
    }
    if(k <= -1){
      k = 0;
    }
    x -= k * v;
    v *= 0.1;
    my_putchar(k + '0');
  }
  if(d > 0){
    my_putchar('.');
    v = 1;
    for(r=(0);r<(d);r++){
      v *= 0.1;
      k = floor(x / v);
      if(k >= 10){
        k = 9;
      }
      if(k <= -1){
        k = 0;
      }
      x -= k * v;
      my_putchar(k + '0');
    }
  }
}
inline void wt_L(const char c[]){
  int i=0;
  for(i=0;c[i]!='\0';i++){
    my_putchar(c[i]);
  }
}
inline void wt_L(string &x){
  int i=0;
  for(i=0;x[i]!='\0';i++){
    my_putchar(x[i]);
  }
}
unsigned long long powmod(unsigned long long a, unsigned long long b, unsigned long long m){
  unsigned long long r = 1;
  while(b){
    if(b&1){
      r = r * a % m;
    }
    b>>=1;
    a = a * a % m;
  }
  return r;
}
template<class T, class U> inline T GCD_L(T a, U b){
  T r;
  while(b){
    r=a;
    a=b;
    b=r%a;
  }
  return a;
}
int N;
int K;
int c[100];
int d[100];
int* e = &c[1];
int main(){
  int i;
  {
    mint x;
    x.setmod(MD);
  }
  rd(N);
  {
    int PiIOrLma;
    for(PiIOrLma=(0);PiIOrLma<(9);PiIOrLma++){
      rd(e[PiIOrLma]);
    }
  }
  int g = 0;
  for(i=(0);i<(10);i++){
    int j;
    if(c[i] == 0){
      continue;
    }
    for(j=(0);j<(10);j++){
      if(c[j] == 0){
        continue;
      }
      g =GCD_L(abs(i-j), g);
    }
  }
  if(g == 0){
    long long aout = 0;
    for(i=(0);i<(10);i++){
      if(c[i] != 0){
        aout = i;
      }
    }
    mint ans = 0;
    mint ten  =10;
    ans = mint(aout) * (ten.pw(c[aout]) -1)/mint(9);
    wt_L(ans);
    wt_L('\n');
    exit(0);
  }
  g *= 81;
  for(i=(1);i<(10);i++){
    d[i] = c[i];
    d[i] += d[i-1];
  }
  long long ans = 0;
  for(i=(0);i<(10);i++){
    if(c[i] == 0){
      continue;
    }
    long long tmp = (long long)(i) * powmod(10, d[i-1], g);
    tmp %= g;
    tmp *= (powmod(10, c[i], g) - 1);
    ans += tmp;
    ans %= g;
  }
  wt_L(GCD_L(ans, g)/9);
  wt_L('\n');
  return 0;
}
// cLay version 20210405-1

// --- original code ---
// //no-unlocked
// int N, K;
// int c[100];
// int d[100];
// int * e = &c[1];
// {  
//     rd(N,  e(9));
//     int g = 0;
//     rep(i, 10)
//     {
//         if(c[i] == 0) continue;
//         rep(j, 10){
//             if(c[j] == 0) continue;
//             g = gcd(abs(i-j), g);
//         }
//     }
//     if(g == 0){
//         ll aout = 0;
//         rep(i, 10){
//             if(c[i] != 0){
//                 aout = i;
//             }
//         }
//         mint ans = 0;
//         mint ten  =10;
//         
//         ans = mint(aout) * (ten.pw(c[aout]) -1)/mint(9);
//         wt(ans);
//         exit(0);
//     }
//     g *= 81;
//     rep(i, 1, 10){
//         d[i] = c[i];
//         d[i] += d[i-1];
//     }
//     ll ans = 0;
//     rep(i, 10){
//         if(c[i] == 0) continue;
//         ll tmp = (ll)(i) * powmod(10, d[i-1], g);
//         tmp %= g;
//         tmp *= (powmod(10, c[i], g) - 1);
//         ans += tmp;
//         ans %= g;
//     }
//     wt(gcd(ans,g)/9);
// }
0