結果

問題 No.1269 I hate Fibonacci Number
ユーザー 👑 tute7627tute7627
提出日時 2020-10-23 23:22:30
言語 C++17
(gcc 13.2.0 + boost 1.83.0)
結果
AC  
実行時間 119 ms / 3,000 ms
コード長 8,124 bytes
コンパイル時間 2,865 ms
コンパイル使用メモリ 225,880 KB
実行使用メモリ 17,324 KB
最終ジャッジ日時 2023-09-28 18:36:06
合計ジャッジ時間 5,489 ms
ジャッジサーバーID
(参考情報)
judge12 / judge14
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 1 ms
4,380 KB
testcase_01 AC 1 ms
4,380 KB
testcase_02 AC 3 ms
4,376 KB
testcase_03 AC 2 ms
4,380 KB
testcase_04 AC 2 ms
4,376 KB
testcase_05 AC 1 ms
4,376 KB
testcase_06 AC 2 ms
4,376 KB
testcase_07 AC 2 ms
4,380 KB
testcase_08 AC 2 ms
4,376 KB
testcase_09 AC 2 ms
4,376 KB
testcase_10 AC 2 ms
4,376 KB
testcase_11 AC 1 ms
4,376 KB
testcase_12 AC 2 ms
4,380 KB
testcase_13 AC 35 ms
7,372 KB
testcase_14 AC 53 ms
8,336 KB
testcase_15 AC 7 ms
4,380 KB
testcase_16 AC 35 ms
7,032 KB
testcase_17 AC 2 ms
4,376 KB
testcase_18 AC 39 ms
7,524 KB
testcase_19 AC 28 ms
6,248 KB
testcase_20 AC 8 ms
4,376 KB
testcase_21 AC 24 ms
5,732 KB
testcase_22 AC 21 ms
5,428 KB
testcase_23 AC 24 ms
5,896 KB
testcase_24 AC 12 ms
4,376 KB
testcase_25 AC 15 ms
4,636 KB
testcase_26 AC 2 ms
4,376 KB
testcase_27 AC 2 ms
4,376 KB
testcase_28 AC 7 ms
4,380 KB
testcase_29 AC 15 ms
4,688 KB
testcase_30 AC 7 ms
4,376 KB
testcase_31 AC 65 ms
9,656 KB
testcase_32 AC 15 ms
4,644 KB
testcase_33 AC 119 ms
17,324 KB
testcase_34 AC 2 ms
4,376 KB
testcase_35 AC 5 ms
4,380 KB
testcase_36 AC 2 ms
4,376 KB
testcase_37 AC 1 ms
4,376 KB
testcase_38 AC 2 ms
4,376 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 #

//#define _GLIBCXX_DEBUG

#include<bits/stdc++.h>
using namespace std;

#define endl '\n'
#define lfs cout<<fixed<<setprecision(10)
#define ALL(a)  (a).begin(),(a).end()
#define ALLR(a)  (a).rbegin(),(a).rend()
#define spa << " " <<
#define fi first
#define se second
#define MP make_pair
#define MT make_tuple
#define PB push_back
#define EB emplace_back
#define rep(i,n,m) for(ll i = (n); i < (ll)(m); i++)
#define rrep(i,n,m) for(ll i = (ll)(m) - 1; i >= (ll)(n); i--)
using ll = long long;
using ld = long double;
const ll MOD1 = 1e9+7;
const ll MOD9 = 998244353;
const ll INF = 1e18;
using P = pair<ll, ll>;
template<typename T1, typename T2>bool chmin(T1 &a,T2 b){if(a>b){a=b;return true;}else return false;}
template<typename T1, typename T2>bool chmax(T1 &a,T2 b){if(a<b){a=b;return true;}else return false;}
ll median(ll a,ll b, ll c){return a+b+c-max({a,b,c})-min({a,b,c});}
void ans1(bool x){if(x) cout<<"Yes"<<endl;else cout<<"No"<<endl;}
void ans2(bool x){if(x) cout<<"YES"<<endl;else cout<<"NO"<<endl;}
void ans3(bool x){if(x) cout<<"Yay!"<<endl;else cout<<":("<<endl;}
template<typename T1,typename T2>void ans(bool x,T1 y,T2 z){if(x)cout<<y<<endl;else cout<<z<<endl;}  
template<typename T>void debug(vector<vector<T>>&v,ll h,ll w){for(ll i=0;i<h;i++){cout<<v[i][0];for(ll j=1;j<w;j++)cout spa v[i][j];cout<<endl;}};
void debug(vector<string>&v,ll h,ll w){for(ll i=0;i<h;i++){for(ll j=0;j<w;j++)cout<<v[i][j];cout<<endl;}};
template<typename T>void debug(vector<T>&v,ll n){if(n!=0)cout<<v[0];for(ll i=1;i<n;i++)cout spa v[i];cout<<endl;};
template<typename T>vector<vector<T>>vec(ll x, ll y, T w){vector<vector<T>>v(x,vector<T>(y,w));return v;}
ll gcd(ll x,ll y){ll r;while(y!=0&&(r=x%y)!=0){x=y;y=r;}return y==0?x:y;}
vector<ll>dx={1,-1,0,0,1,1,-1,-1};vector<ll>dy={0,0,1,-1,1,-1,1,-1};
template<typename T>vector<T> make_v(size_t a,T b){return vector<T>(a,b);}
template<typename... Ts>auto make_v(size_t a,Ts... ts){return vector<decltype(make_v(ts...))>(a,make_v(ts...));}
template<typename T1, typename T2>ostream &operator<<(ostream &os, const pair<T1, T2>&p){return os << p.first << " " << p.second;}
template<typename T>ostream &operator<<(ostream &os, const vector<T> &v){for(auto &z:v)os << z << " ";cout<<"|"; return os;}
//mt19937 mt(chrono::steady_clock::now().time_since_epoch().count());
int popcount(ll x){return __builtin_popcountll(x);};
int poplow(ll x){return __builtin_ctzll(x);};
int pophigh(ll x){return 63 - __builtin_clzll(x);};
template<long long iden, long long size>
struct Trie{
  struct Node{
    vector<ll>next,idx;
    ll num, failure, len;
    Node(ll l):num(0), failure(-1), len(l){
       next.assign(size,-1);
    }
  };
  vector<Node>data;
  Trie(){
    data.emplace_back(0);
  }
  ll add(const string &s, ll id){
    ll pos=0;
    for(ll i=0;i<s.size();i++){
      ll c = s[i] - iden;
      if(data[pos].next[c]==-1){
        data[pos].next[c]=data.size();
        data.emplace_back(i+1);
      }
      data[pos].num++;
      pos = data[pos].next[c];
    }
    data[pos].num++;
    data[pos].idx.push_back(id);
		return pos;
  }
  ll append(ll pos,char cc){
		ll c = cc - iden;
		if(data[pos].next[c]==-1){
			data[pos].next[c]=data.size();
      data.emplace_back(0);
		}
		pos=data[pos].next[c];
		return pos;
	}
  void search(const string &s){
    ll pos=0;
    for(ll i=0;i<s.size();i++){
      ll c = s[i] - iden;
      if(data[pos].next[c]==-1)break;
      pos = data[pos].next[c];
    }
  }
  vector<ll>v;
  void dfs(ll pos, ll d){
    for(ll i=0;i<size;i++){
      if(data[pos].next[i]!=-1){
        dfs(data[pos].next[i], d+1);
      }
    }
  }
  vector<string>str;
  void build_str(ll pos=0,string s=""){
    while(str.size()<=pos)str.push_back("");
    str[pos]=s;
    for(ll i=0;i<size;i++){
      if(data[pos].next[i]!=-1){
        build_str(data[pos].next[i],s+char(i+iden));
      }
    }
  }
  void build_Ahocorasick(){
    queue<ll>que;
    que.push(0);
    data[0].failure = -1;
    while(!que.empty()){
      ll pos = que.front();
      for(ll i=0;i<size;i++){
        if(data[pos].next[i]==-1)continue;
        ll now = data[pos].failure;
        while(now!=-1&&data[now].next[i]==-1)now = data[now].failure;
        if(now==-1)data[data[pos].next[i]].failure = 0;
        else data[data[pos].next[i]].failure = data[now].next[i];
        que.push(data[pos].next[i]);
      }
      que.pop();
    }
  }
  vector<ll> aho_search(const string &s){
    ll now=0;
    vector<ll>cnt(data.size());
    for(ll i=0;i<s.size();i++){
      ll c = s[i] - iden;
      while(now!=-1&&data[now].next[c]==-1)now=data[now].failure;
      if(now==-1)now=0;
      else{
        now=data[now].next[c];
        ll pos=now;
        while(pos!=-1){
          cnt[pos]++;
          pos=data[pos].failure;
        }
      }
    }
    return cnt;
  }
};
using trie = Trie<'0',10>;
template< int mod >
struct ModInt {
  int x;

  ModInt() : x(0) {}

  ModInt(int64_t y) : x(y >= 0 ? y % mod : (mod - (-y) % mod) % mod) {}

  ModInt &operator+=(const ModInt &p) {
    if((x += p.x) >= mod) x -= mod;
    return *this;
  }

  ModInt &operator-=(const ModInt &p) {
    if((x += mod - p.x) >= mod) x -= mod;
    return *this;
  }

  ModInt &operator*=(const ModInt &p) {
    x = (int) (1LL * x * p.x % mod);
    return *this;
  }

  ModInt &operator/=(const ModInt &p) {
    *this *= p.inverse();
    return *this;
  }

  ModInt operator-() const { return ModInt(-x); }

  friend ModInt operator+(const ModInt& lhs, const ModInt& rhs) {
        return ModInt(lhs) += rhs;
  }
  friend ModInt operator-(const ModInt& lhs, const ModInt& rhs) {
        return ModInt(lhs) -= rhs;
  }
  friend ModInt operator*(const ModInt& lhs, const ModInt& rhs) {
        return ModInt(lhs) *= rhs;
  }
  friend ModInt operator/(const ModInt& lhs, const ModInt& rhs) {
        return ModInt(lhs) /= rhs;
  }

  bool operator==(const ModInt &p) const { return x == p.x; }

  bool operator!=(const ModInt &p) const { return x != p.x; }

  ModInt inverse() const {
    int a = x, b = mod, u = 1, v = 0, t;
    while(b > 0) {
      t = a / b;
      swap(a -= t * b, b);
      swap(u -= t * v, v);
    }
    return ModInt(u);
  }

  ModInt pow(int64_t n) const {
    ModInt ret(1), mul(x);
    while(n > 0) {
      if(n & 1) ret *= mul;
      mul *= mul;
      n >>= 1;
    }
    return ret;
  }

  friend ostream &operator<<(ostream &os, const ModInt &p) {
    return os << p.x;
  }

  friend istream &operator>>(istream &is, ModInt &a) {
    int64_t t;
    is >> t;
    a = ModInt< mod >(t);
    return (is);
  }

  static int get_mod() { return mod; }
};
using modint = ModInt< MOD1 >;modint pow(ll n, ll x){return modint(n).pow(x);}modint pow(modint n, ll x){return n.pow(x);}
//using modint=ld;
int main(){
  cin.tie(nullptr);
  ios_base::sync_with_stdio(false);
  ll res=0,buf=0;
  bool judge = true;
  ll n,l,r;cin>>n>>l>>r;
  trie tri;
  {
    vector<ll>dp(2,0);
    dp[1]=1;
    rep(i,2,10000){
      dp.PB(dp[i-1]+dp[i-2]);
      if(dp[i]>r)break;
      if(dp[i]<l)continue;
      tri.add(to_string(dp[i]),i);
    }
  }
  tri.build_Ahocorasick();
  ll sz=tri.data.size();
  auto to=vec(sz,10,0LL);
  vector<bool>ex(sz);
  rep(i,0,sz){
    rep(j,0,10){
      ll now=i;
      while(now!=0&&tri.data[now].next[j]==-1)now=tri.data[now].failure;
      if(tri.data[now].next[j]!=-1)now=tri.data[now].next[j];
      to[i][j]=now;
    }
    if(!tri.data[i].idx.empty())ex[i]=true;
  }
  {
    vector<vector<ll>>g(sz);
    rep(i,1,sz)g[tri.data[i].failure].PB(i);
    queue<ll>que;
    que.push(0);
    while(!que.empty()){
      auto p=que.front();
      que.pop();
      for(auto to:g[p]){
        if(ex[p])ex[to]=true;
        que.push(to);
      }
    }
  }
  /*{
    tri.build_str();
    rep(i,0,sz)rep(j,0,10){
      cout<<tri.str[i] spa j  spa tri.str[to[i][j]]<<endl; 
    }
    rep(i,0,sz)cout<<tri.str[i] spa ex[i]<<endl;
  }*/
  auto dp=vec(n+1,sz,modint(0));
  dp[0][0]=1;
  rep(i,0,n){
    rep(j,0,sz){
      rep(o,0,10){
        if(ex[to[j][o]])continue;
        dp[i+1][to[j][o]]+=dp[i][j];
      }
    }
  }
  modint ret=0;
  rep(i,0,sz)ret+=dp[n][i];
  cout<<ret-1<<endl;
  return 0;
}
0