結果

問題 No.1269 I hate Fibonacci Number
ユーザー 👑 tute7627
提出日時 2020-10-23 23:22:30
言語 C++17
(gcc 13.3.0 + boost 1.87.0)
結果
AC  
実行時間 120 ms / 3,000 ms
コード長 8,124 bytes
コンパイル時間 2,566 ms
コンパイル使用メモリ 219,720 KB
最終ジャッジ日時 2025-01-15 14:03:18
ジャッジサーバーID
(参考情報)
judge3 / judge2
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
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 #
プレゼンテーションモードにする

//#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;
}
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