結果

問題 No.1629 Sorting Integers (SUM of M)
ユーザー 👑Zack Ni👑Zack Ni
提出日時 2021-07-30 20:52:13
言語 C++14
(gcc 12.3.0 + boost 1.83.0)
結果
AC  
実行時間 6 ms / 2,000 ms
コード長 9,697 bytes
コンパイル時間 2,310 ms
コンパイル使用メモリ 181,628 KB
実行使用メモリ 5,376 KB
最終ジャッジ日時 2024-09-15 22:42:57
合計ジャッジ時間 2,941 ms
ジャッジサーバーID
（参考情報） 		judge2 / judge5
このコードへのチャレンジ
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テストケース

テストケース表示
入力 結果 実行時間
実行使用メモリ
testcase_00 AC 4 ms
5,248 KB
testcase_01 AC 5 ms
5,376 KB
testcase_02 AC 5 ms
5,376 KB
testcase_03 AC 5 ms
5,376 KB
testcase_04 AC 5 ms
5,376 KB
testcase_05 AC 5 ms
5,376 KB
testcase_06 AC 6 ms
5,376 KB
testcase_07 AC 6 ms
5,376 KB
testcase_08 AC 6 ms
5,376 KB
testcase_09 AC 5 ms
5,376 KB
testcase_10 AC 6 ms
5,376 KB
testcase_11 AC 6 ms
5,376 KB
testcase_12 AC 6 ms
5,376 KB
testcase_13 AC 6 ms
5,376 KB
testcase_14 AC 6 ms
5,376 KB
testcase_15 AC 6 ms
5,376 KB
testcase_16 AC 6 ms
5,376 KB
testcase_17 AC 6 ms
5,376 KB
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)
void*wmem;
char memarr[96000000];
template<class T> inline void walloc1d(T **arr, int x, void **mem = &wmem){
  static int skip[16] = {0, 15, 14, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, 1};
  (*mem) = (void*)( ((char*)(*mem)) + skip[((unsigned long long)(*mem)) & 15] );
  (*arr)=(T*)(*mem);
  (*mem)=((*arr)+x);
}
template<class T> inline void walloc1d(T **arr, int x1, int x2, void **mem = &wmem){
  walloc1d(arr, x2-x1, mem);
  (*arr) -= x1;
}
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(mint x){
  int i;
  i = (int)x;
  wt_L(i);
}
struct combination_mint{
  mint*fac;
  mint*ifac;
  void init(int n, void **mem = &wmem){
    int i;
    walloc1d(&fac, n, mem);
    walloc1d(&ifac, n, mem);
    fac[0] = 1;
    for(i=(1);i<(n);i++){
      fac[i] = fac[i-1] * i;
    }
    ifac[n-1] = 1 / fac[n-1];
    for(i=n-2;i>=0;i--){
      ifac[i] = ifac[i+1] * (i+1);
    }
  }
  mint C(int a, int b){
    if(b < 0 || b > a){
      return 0;
    }
    return fac[a]*ifac[b]*ifac[a-b];
  }
  mint P(int a, int b){
    if(b < 0 || b > a){
      return 0;
    }
    return fac[a]*ifac[a-b];
  }
  mint H(int a, int b){
    if(a==0 && b==0){
      return 1;
    }
    if(a<=0 || b<0){
      return 0;
    }
    return C(a+b-1, b);
  }
}
;
mint ans;
combination_mint C;
int A[11];
mint contributions;
int N;
int main(){
  int i;
  wmem = memarr;
  {
    mint x;
    x.setmod(MD);
  }
  C.init(200000+10);
  rd(N);
  {
    int PiIOrLma;
    for(PiIOrLma=(0);PiIOrLma<(9);PiIOrLma++){
      rd(A[PiIOrLma]);
    }
  }
  for(i=(9)-1;i>=(0);i--){
    int j;
    if(A[i] == 0){
      continue;
    }
    mint contribution = 1;
    int n = N-1;
    for(j=(0);j<(9);j++){
      if(n == 0){
        break;
      }
      if(i == j){
        contribution *= C.C(n, A[j]-1);
        n -= A[j]-1;
      }
      else{
        contribution *= C.C(n, A[j]);
        n -= A[j];
      }
    }
    contributions += contribution * (i+1);
  }
  for(i=(0);i<(N);i++){
    ans += contributions;
    contributions *= 10;
  }
  wt_L(ans);
  wt_L('\n');
  return 0;
}
// cLay version 20210405-1

// --- original code ---
// //no-unlocked
// mint ans;
// combination_mint C;
// int A[11];
// mint contributions;
// int N;
// { 
//     C.init(2d5+10);
//     rd(N, A(9));
//     rrep(i,9){
//         if(A[i] == 0) continue;
//         mint contribution = 1;
//         int n = N-1;
//         rep(j, 9){
//             if(n == 0) break;
//             if(i == j){
//                 contribution *= C.C(n, A[j]-1);
//                 n -= A[j]-1;
//             }else{
//                 contribution *= C.C(n, A[j]);
//                 n -= A[j];
//             }
//         }
//         contributions += contribution * (i+1);
//     }
//     rep(i, N){
//         ans += contributions;
//         contributions *= 10;
//     }
//     wt(ans);
// }
0