結果

問題 No.1269 I hate Fibonacci Number
ユーザー LayCurse
提出日時 2020-10-23 22:44:24
言語 C++17
(gcc 13.3.0 + boost 1.87.0)
結果
AC  
実行時間 67 ms / 3,000 ms
コード長 9,895 bytes
コンパイル時間 2,728 ms
コンパイル使用メモリ 214,112 KB
最終ジャッジ日時 2025-01-15 13:37:47
ジャッジサーバーID
（参考情報） 		judge5 / judge1
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 * 3
other AC * 36
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ソースコード

diff #
プレゼンテーションモードにする

#pragma GCC optimize ("Ofast")
#include<bits/stdc++.h>
using namespace std;
#define MD (1000000007U)
void*wmem;
char memarr[96000000];
template<class T> void malloc1d(T **arr, int x){
  (*arr) = (T*)malloc(x*sizeof(T));
}
template<class T> void free1d(T *arr){
  free(arr);
}
template<class T> void malloc2d(T ***arr, int x, int y){
  int i;
  (*arr) = (T**)malloc(x*sizeof(T*));
  (*arr)[0] = (T*)malloc(x*y*sizeof(T));
  int jbtyPBGc = x;
  for(i=(1);i<(jbtyPBGc);i++){
    (*arr)[i]=(*arr)[i-1]+y;
  }
}
template<class T> void free2d(T **arr){
  free(arr[0]);
  free(arr);
}
struct Modint{
  unsigned val;
  Modint(){
    val=0;
  }
  Modint(int a){
    val = ord(a);
  }
  Modint(unsigned a){
    val = ord(a);
  }
  Modint(long long a){
    val = ord(a);
  }
  Modint(unsigned long long a){
    val = ord(a);
  }
  inline unsigned ord(unsigned a){
    return a%MD;
  }
  inline unsigned ord(int a){
    a %= (int)MD;
    if(a < 0){
      a += MD;
    }
    return a;
  }
  inline unsigned ord(unsigned long long a){
    return a%MD;
  }
  inline unsigned ord(long long a){
    a %= (int)MD;
    if(a < 0){
      a += MD;
    }
    return a;
  }
  inline unsigned get(){
    return val;
  }
  inline Modint &operator+=(Modint a){
    val += a.val;
    if(val >= MD){
      val -= MD;
    }
    return *this;
  }
  inline Modint &operator-=(Modint a){
    if(val < a.val){
      val = val + MD - a.val;
    }
    else{
      val -= a.val;
    }
    return *this;
  }
  inline Modint &operator*=(Modint a){
    val = ((unsigned long long)val*a.val)%MD;
    return *this;
  }
  inline Modint &operator/=(Modint a){
    return *this *= a.inverse();
  }
  inline Modint operator+(Modint a){
    return Modint(*this)+=a;
  }
  inline Modint operator-(Modint a){
    return Modint(*this)-=a;
  }
  inline Modint operator*(Modint a){
    return Modint(*this)*=a;
  }
  inline Modint operator/(Modint a){
    return Modint(*this)/=a;
  }
  inline Modint operator+(int a){
    return Modint(*this)+=Modint(a);
  }
  inline Modint operator-(int a){
    return Modint(*this)-=Modint(a);
  }
  inline Modint operator*(int a){
    return Modint(*this)*=Modint(a);
  }
  inline Modint operator/(int a){
    return Modint(*this)/=Modint(a);
  }
  inline Modint operator+(long long a){
    return Modint(*this)+=Modint(a);
  }
  inline Modint operator-(long long a){
    return Modint(*this)-=Modint(a);
  }
  inline Modint operator*(long long a){
    return Modint(*this)*=Modint(a);
  }
  inline Modint operator/(long long a){
    return Modint(*this)/=Modint(a);
  }
  inline Modint operator-(void){
    Modint res;
    if(val){
      res.val=MD-val;
    }
    else{
      res.val=0;
    }
    return res;
  }
  inline operator bool(void){
    return val!=0;
  }
  inline operator int(void){
    return get();
  }
  inline operator long long(void){
    return get();
  }
  inline Modint inverse(){
    int a = val;
    int b = MD;
    int u = 1;
    int v = 0;
    int t;
    Modint 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 = u;
    return res;
  }
  inline Modint pw(unsigned long long b){
    Modint a(*this);
    Modint res;
    res.val = 1;
    while(b){
      if(b&1){
        res *= a;
      }
      b >>= 1;
      a *= a;
    }
    return res;
  }
  inline bool operator==(int a){
    return ord(a)==val;
  }
  inline bool operator!=(int a){
    return ord(a)!=val;
  }
}
;
inline Modint operator+(int a, Modint b){
  return Modint(a)+=b;
}
inline Modint operator-(int a, Modint b){
  return Modint(a)-=b;
}
inline Modint operator*(int a, Modint b){
  return Modint(a)*=b;
}
inline Modint operator/(int a, Modint b){
  return Modint(a)/=b;
}
inline Modint operator+(long long a, Modint b){
  return Modint(a)+=b;
}
inline Modint operator-(long long a, Modint b){
  return Modint(a)-=b;
}
inline Modint operator*(long long a, Modint b){
  return Modint(a)*=b;
}
inline Modint operator/(long long a, Modint b){
  return Modint(a)/=b;
}
inline int my_getchar_unlocked(){
  static char buf[1048576];
  static int s = 1048576;
  static int e = 1048576;
  if(s == e && e == 1048576){
    e = fread_unlocked(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_unlocked();
    if(k=='-'){
      m=1;
      break;
    }
    if('0'<=k&&k<='9'){
      x=k-'0';
      break;
    }
  }
  for(;;){
    k = my_getchar_unlocked();
    if(k<'0'||k>'9'){
      break;
    }
    x=x*10+k-'0';
  }
  if(m){
    x=-x;
  }
}
inline void rd(long long &x){
  int k;
  int m=0;
  x=0;
  for(;;){
    k = my_getchar_unlocked();
    if(k=='-'){
      m=1;
      break;
    }
    if('0'<=k&&k<='9'){
      x=k-'0';
      break;
    }
  }
  for(;;){
    k = my_getchar_unlocked();
    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_unlocked(buf, 1, s, stdout);
    }
  }
}
;
MY_WRITER MY_WRITER_VAR;
void my_putchar_unlocked(int a){
  if(MY_WRITER_VAR.s == MY_WRITER_VAR.e){
    fwrite_unlocked(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_unlocked(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_unlocked('-');
  }
  while(s--){
    my_putchar_unlocked(f[s]+'0');
  }
}
inline void wt_L(Modint x){
  int i;
  i = (int)x;
  wt_L(i);
}
template<class T, class S> inline int Digit_L(T n, S b){
  int res = 0;
  while(n){
    res++;
    n /= b;
  }
  return res;
}
template<class T, class S> inline int Digit_L(T n, S res[]){
  int sz = 0;
  while(n){
    res[sz++] = n % 10;
    n /= 10;
  }
  return sz;
}
template<class S> struct AhoCorasick_Sum{
  int node;
  int mem;
  int alphabet;
  int**nx;
  int*failed;
  S*sum;
  void init(void){
    int i;
    node = 1;
    for(i=(0);i<(alphabet);i++){
      nx[0][i] = -1;
    }
    failed[0] = 0;
    sum[0] = 0;
  }
  void malloc(const int n, const int k){
    int i;
    malloc2d(&nx,n,k);
    malloc1d(&failed,n);
    malloc1d(&sum,n);
    node = n;
    alphabet = k;
    init();
  }
  void free(void){
    free2d(nx);
    free1d(failed);
    free1d(sum);
  }
  template<class T> void addWord(const T word[], const int len, S val){
    int i;
    int j;
    int k;
    int now = 0;
    for(i=(0);i<(len);i++){
      if(nx[now][word[i]]==-1){
        k = node++;
        nx[now][word[i]] = k;
        for(j=(0);j<(alphabet);j++){
          nx[k][j] = -1;
        }
        sum[k] = 0;
      }
      now = nx[now][word[i]];
    }
    sum[now] += val;
  }
  void construct(void *mem = wmem){
    int i;
    int j;
    int k;
    int now;
    int*q;
    int qs;
    int qe;
    q = (int*) mem;
    qs = qe = 0;
    now = 0;
    for(k=(0);k<(alphabet);k++){
      if(nx[now][k] != -1){
        q[qe++] = nx[now][k];
        failed[ nx[now][k] ] = now;
      }
    }
    while(qs < qe){
      now = q[qs++];
      for(k=(0);k<(alphabet);k++){
        if(nx[now][k] != -1){
          i = failed[now];
          while(i){
            if(nx[i][k] != -1){
              break;
            }
            i = failed[i];
          }
          if(nx[i][k] != -1){
            i = nx[i][k];
          }
          failed[ nx[now][k] ] = i;
          sum[ nx[now][k] ] += sum[i];
          q[qe++] = nx[now][k];
        }
      }
    }
  }
  template<class T> inline int next(const int n, const T c){
    int i;
    int now;
    now = n;
    if(nx[n][c]!=-1){
      return nx[n][c];
    }
    while(now && nx[now][c]==-1){
      now=failed[now];
    }
    if(nx[now][c]!=-1){
      now = nx[now][c];
    }
    return nx[n][c] = now;
  }
}
;
AhoCorasick_Sum<int> aho;
Modint dp[1000];
Modint nx[1000];
int main(){
  int cTE1_r3A;
  wmem = memarr;
  int N;
  rd(N);
  long long L;
  rd(L);
  long long R;
  rd(R);
  int ds;
  int d[100];
  int node;
  int i;
  int j;
  int k;
  long long a = 1;
  long long b = 1;
  aho.malloc(1000, 10);
  while(a <= R){
    {
      auto Q5VJL1cS = (b);
      auto e98WHCEY = (a+b);
      a = Q5VJL1cS;
      b = e98WHCEY;
    }
    if(L <= a  &&  a <= R){
      ds =Digit_L(a, d);
      aho.addWord(d, ds, 1);
    }
  }
  aho.construct();
  node = aho.node;
  dp[0] = 1;
  for(cTE1_r3A=(0);cTE1_r3A<(N);cTE1_r3A++){
    for(i=(0);i<(node);i++){
      nx[i] = 0;
    }
    for(i=(0);i<(node);i++){
      for(j=(0);j<(10);j++){
        k = aho.next(i,j);
        if(aho.sum[k]){
          continue;
        }
        nx[k] += dp[i];
      }
    }
    for(i=(0);i<(node);i++){
      dp[i] = nx[i];
    }
  }
  {
    int V9aVTaxx;
    Modint APIVbQlN;
    if(node==0){
      APIVbQlN = 0;
    }
    else{
      APIVbQlN = dp[0];
      for(V9aVTaxx=(1);V9aVTaxx<(node);V9aVTaxx++){
        APIVbQlN += dp[V9aVTaxx];
      }
    }
    wt_L(APIVbQlN-1);
    wt_L('\n');
  }
  return 0;
}
// cLay varsion 20201018-2
// --- original code ---
// AhoCorasick_Sum<int> aho;
// Modint dp[1000], nx[1000];
// {
//   int @N; ll @L, @R;
//   int ds, d[100], node, i, j, k;
//   ll a = 1, b = 1;
// 
//   aho.malloc(1000, 10);
//   
//   while(a <= R){
//     (a,b) = (b,a+b);
//     if(L <= a <= R){
//       ds = Digit(a, d);
//       aho.addWord(d, ds, 1);
//     }
//   }
//   aho.construct();
// 
//   node = aho.node;
//   dp[0] = 1;
//   rep(N){
//     rep(i,node) nx[i] = 0;
//     rep(i,node) rep(j,10){
//       k = aho.next(i,j);
//       if(aho.sum[k]) continue;
//       nx[k] += dp[i];
//     }
//     rep(i,node) dp[i] = nx[i];
//   }
// 
//   wt(sum(dp(node))-1);
// }
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