結果

問題 No.1269 I hate Fibonacci Number
ユーザー minatominato
提出日時 2020-10-24 10:31:03
言語 C++17
(gcc 13.2.0 + boost 1.83.0)
結果
AC  
実行時間 26 ms / 3,000 ms
コード長 9,832 bytes
コンパイル時間 4,163 ms
コンパイル使用メモリ 247,224 KB
実行使用メモリ 4,380 KB
最終ジャッジ日時 2023-09-28 20:12:56
合計ジャッジ時間 5,917 ms
ジャッジサーバーID
(参考情報)
judge15 / judge12
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 2 ms
4,376 KB
testcase_01 AC 1 ms
4,376 KB
testcase_02 AC 3 ms
4,380 KB
testcase_03 AC 1 ms
4,376 KB
testcase_04 AC 2 ms
4,376 KB
testcase_05 AC 2 ms
4,376 KB
testcase_06 AC 2 ms
4,380 KB
testcase_07 AC 2 ms
4,380 KB
testcase_08 AC 2 ms
4,380 KB
testcase_09 AC 1 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 8 ms
4,376 KB
testcase_14 AC 15 ms
4,380 KB
testcase_15 AC 4 ms
4,376 KB
testcase_16 AC 13 ms
4,376 KB
testcase_17 AC 2 ms
4,376 KB
testcase_18 AC 14 ms
4,380 KB
testcase_19 AC 10 ms
4,376 KB
testcase_20 AC 4 ms
4,380 KB
testcase_21 AC 10 ms
4,376 KB
testcase_22 AC 9 ms
4,376 KB
testcase_23 AC 9 ms
4,376 KB
testcase_24 AC 5 ms
4,376 KB
testcase_25 AC 6 ms
4,376 KB
testcase_26 AC 2 ms
4,380 KB
testcase_27 AC 1 ms
4,376 KB
testcase_28 AC 3 ms
4,376 KB
testcase_29 AC 6 ms
4,376 KB
testcase_30 AC 3 ms
4,376 KB
testcase_31 AC 17 ms
4,380 KB
testcase_32 AC 6 ms
4,376 KB
testcase_33 AC 26 ms
4,376 KB
testcase_34 AC 2 ms
4,376 KB
testcase_35 AC 3 ms
4,376 KB
testcase_36 AC 3 ms
4,376 KB
testcase_37 AC 2 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 #

#ifdef ONLINE_JUDGE
#pragma GCC target("avx2,avx")
#pragma GCC optimize("O3")
#pragma GCC optimize("unroll-loops")
#endif
#include <bits/stdc++.h>
using namespace std;
using ll = long long;
using ull = unsigned long long;
using i128 = __int128_t;
using pii = pair<int, int>;
using pll = pair<long long, long long>;
#define rep(i, n) for (int i = 0; i < (n); i++)
#define all(x) (x).begin(), (x).end()
constexpr char ln = '\n';
istream& operator>>(istream& is, __int128_t& x) {
    x = 0;
    string s;
    is >> s;
    int n = int(s.size()), it = 0;
    if (s[0] == '-') it++;
    for (; it < n; it++) x = (x * 10 + s[it] - '0');
    if (s[0] == '-') x = -x;
    return is;
}
ostream& operator<<(ostream& os, __int128_t x) {
    if (x == 0) return os << 0;
    if (x < 0) os << '-', x = -x;
    deque<int> deq;
    while (x) deq.emplace_front(x % 10), x /= 10;
    for (int e : deq) os << e;
    return os;
}
template<class T1, class T2>
ostream& operator<<(ostream& os, const pair<T1, T2>& p) {
    return os << "(" << p.first << ", " << p.second << ")";
}
template<class T> 
ostream& operator<<(ostream& os, const vector<T>& v) {
    os << "{";
    for (int i = 0; i < int(v.size()); i++) {
        if (i) os << ", ";
        os << v[i];
    }
    return os << "}";
}
template<class Container> inline int SZ(Container& v) { return int(v.size()); }
template<typename T> inline void UNIQUE(vector<T>& v) { v.erase(unique(v.begin(), v.end()), v.end()); }
template<class T1, class T2> inline bool chmax(T1& a, T2 b) { if (a < b) {a = b; return true ;} return false ;}
template<class T1, class T2> inline bool chmin(T1& a, T2 b) { if (a > b) {a = b; return true ;} return false ;}
inline int topbit(int x) { return x == 0 ? -1 : 31 - __builtin_clz(x); }
inline int topbit(long long x) { return x == 0 ? -1 : 63 - __builtin_clzll(x); }
inline int botbit(int x) { return x == 0 ? 32 : __builtin_ctz(x); }
inline int botbit(long long x) { return x == 0 ? 64 : __builtin_ctzll(x); }
inline int popcount(int x) { return __builtin_popcount(x); }
inline int popcount(long long x) { return __builtin_popcountll(x); }
inline int kthbit(long long x, int k) { return (x>>k) & 1; }
inline constexpr long long TEN(int x) { return x == 0 ? 1 : TEN(x-1) * 10; }
namespace detail {
    template<typename Tp, int Nb>
    auto make_vector(vector<int>& sizes, Tp const& x) {
        if constexpr (Nb == 1) {
            return vector(sizes[0], x);
        } else {
            int size = sizes[Nb-1];
            sizes.pop_back();
            return vector(size, make_vector<Tp, Nb-1>(sizes, x));
        }
    }
}
template<typename Tp, int Nb>
auto make_vector(int const(&sizes)[Nb], Tp const& x = Tp()) {
    vector<int> s(Nb);
    for (int i = 0; i < Nb; i++) s[i] = sizes[Nb-i-1];
    return detail::make_vector<Tp, Nb>(s, x);
}
inline void print() { cout << "\n"; }
template<class T>
inline void print(const vector<T>& v) {
    for (int i = 0; i < int(v.size()); i++) {
        if (i) cout << " ";
        cout << v[i];
    }
    print();
}
template<class T, class... Args>
inline void print(const T& x, const Args& ... args) {
    cout << x << " ";
    print(args...);
}
#ifdef MINATO_LOCAL
inline void debug_out() { cerr << endl; }
template <class T, class... Args>
inline void debug_out(const T& x, const Args& ... args) {
    cerr << " " << x;
    debug_out(args...);
}
#define debug(...) cerr << __LINE__ << " : [" << #__VA_ARGS__ << "] =", debug_out(__VA_ARGS__)
#define dump(x) cerr << __LINE__ << " : " << #x << " = " << (x) << endl
#else
#define debug(...) (void(0))
#define dump(x) (void(0))
#endif
struct fast_ios { fast_ios() { cin.tie(nullptr); ios::sync_with_stdio(false); cout << fixed << setprecision(20); }; } fast_ios_;
////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////

template<int m> 
struct ModInt {
  public:
    static constexpr int mod() { return m; }
    static ModInt raw(int v) {
        ModInt x;
        x._v = v;
        return x;
    }

    ModInt() : _v(0) {}
    ModInt(long long v) {
        long long x = (long long)(v % (long long)(umod()));
        if (x < 0) x += umod();
        _v = (unsigned int)(x);
    }

    unsigned int val() const { return _v; }

    ModInt& operator++() {
        _v++;
        if (_v == umod()) _v = 0;
        return *this;
    }
    ModInt& operator--() {
        if (_v == 0) _v = umod();
        _v--;
        return *this;
    }
    ModInt operator++(int) {
        ModInt result = *this;
        ++*this;
        return result;
    }
    ModInt operator--(int) {
        ModInt result = *this;
        --*this;
        return result;
    }

    ModInt& operator+=(const ModInt& rhs) {
        _v += rhs._v;
        if (_v >= umod()) _v -= umod();
        return *this;
    }
    ModInt& operator-=(const ModInt& rhs) {
        _v -= rhs._v;
        if (_v >= umod()) _v += umod();
        return *this;
    }
    ModInt& operator*=(const ModInt& rhs) {
        unsigned long long z = _v;
        z *= rhs._v;
        _v = (unsigned int)(z % umod());
        return *this;
    }
    ModInt& operator^=(long long n) {
        ModInt x = *this;
        *this = 1;
        if (n < 0) x = x.inv(), n = -n;
        while (n) {
            if (n & 1) *this *= x;
            x *= x;
            n >>= 1;
        }
        return *this;
    }
    ModInt& operator/=(const ModInt& rhs) { return *this = *this * rhs.inv(); }

    ModInt operator+() const { return *this; }
    ModInt operator-() const { return ModInt() - *this; }

    ModInt pow(long long n) const {
        ModInt r = *this;
        r ^= n;
        return r;
    }
    ModInt inv() const {
        int a = _v, b = umod(), y = 1, z = 0, t;
        for (; ; ) {
            t = a / b; a -= t * b;
            if (a == 0) {
                assert(b == 1 || b == -1);
                return ModInt(b * z);
            }
            y -= t * z;
            t = b / a; b -= t * a;
            if (b == 0) {
                assert(a == 1 || a == -1);
                return ModInt(a * y);
            }
            z -= t * y;
        }
    }

    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; }
    friend ModInt operator^(const ModInt& lhs, long long rhs) { return ModInt(lhs) ^= rhs; }
    friend bool operator==(const ModInt& lhs, const ModInt& rhs) { return lhs._v == rhs._v; }
    friend bool operator!=(const ModInt& lhs, const ModInt& rhs) { return lhs._v != rhs._v; }
    friend ModInt operator+(long long lhs, const ModInt& rhs) { return (ModInt(lhs) += rhs); }
    friend ModInt operator-(long long lhs, const ModInt& rhs) { return (ModInt(lhs) -= rhs); }
    friend ModInt operator*(long long lhs, const ModInt& rhs) { return (ModInt(lhs) *= rhs); }
    friend ostream &operator<<(ostream& os, const ModInt& rhs) { return os << rhs._v; }

  private:
    unsigned int _v;
    static constexpr unsigned int umod() { return m; }
};
 
constexpr int MOD = 1000000007;
//constexpr int MOD = 998244353;

using mint = ModInt<MOD>;

template<class Char>
struct AhoCorasick {
	struct State {
		map<Char, int> nex;
		int link, len, par, ban;
		State() : link(0), len(0), par(0), ban(0) {}
	};
	vector<State> node;
	AhoCorasick() {
		node.emplace_back();
		node[0].link = -1;
		node[0].par = -1;
	}
 
	int process(int v, const Char& c) {
		while (~v and !node[v].nex.count(c)) v = node[v].link;
        if (~v) return node[v].nex[c];
        return 0;
	}
 
    int addChar(int v, const Char& c) {
        if (!node[v].nex.count(c)) {
            node[v].nex[c] = node.size();
            node.emplace_back();
            node.back().len = node[v].len + 1;
			node.back().par = v;
        }
        return node[v].nex[c];
    }
 
    template<class String>
	int addString(const String& s) {
		int v = 0;
        for(const Char& c : s) {
            v = addChar(v,c);
        }
        node[v].ban = 1;
        return v;
	}
 
	void build() {
		queue<int> que;
		for (auto& p : node[0].nex) que.emplace(p.second);
		while (!que.empty()) {
			int v = que.front(); que.pop();
			for(auto& [c,nv] : node[v].nex) {
				node[nv].link = process(node[v].link,c);
                node[nv].ban |= node[node[nv].link].ban;
				que.emplace(nv);
			}
		}
	}
 
	State& operator[](int v) { return node[v]; }

	int size() { return int(node.size()); }
};
 
int main() { 
    ll N,L,R; cin >> N >> L >> R;
    AhoCorasick<char> AC;
    vector<ll> F = {1,1};
    set<int> dic;
    if (L==1) {
        AC.addString(vector<int>{1});
    }

    while (true) {
        int k = F.size();
        ll val = F[k-1] + F[k-2];
        if (val > R) break;
        F.emplace_back(val);
        if (L <= val and val <= R) {
            vector<int> num;
            while (val) {
                num.emplace_back(val%10);
                val /= 10;
            }
            reverse(all(num));
            AC.addString(num);
        }
    }

    AC.build();
    int M = AC.size();

    vector<vector<int>> nex(M, vector<int>(10));
    rep(i,M) {
        rep(j,10) {
            nex[i][j] = AC.process(i,j);
            if (AC[nex[i][j]].ban) nex[i][j] = -1;
        }
    }

    vector<mint> dp(M);
    dp[0] = 1;
    rep(i,N) {
        vector<mint> ndp(M);
        rep(j,M) {
            rep(k,10) {
                if (~nex[j][k]) {
                    ndp[nex[j][k]] += dp[j];
                }
            }
        }
        swap(dp,ndp);
    }
    
    mint ans = 0;
    rep(i,M) ans += dp[i];
    ans--;
    cout << ans << ln;
}
0