#591687 (C++17) No.1269 I hate Fibonacci Number

提出ソース
結果

問題	No.1269 I hate Fibonacci Number
コンテスト
ユーザー	NyaanNyaan
提出日時	2020-12-10 19:12:55
言語	C++17 (gcc 13.3.0 + boost 1.87.0)
結果	AC
実行時間	20 ms / 3,000 ms
コード長	20,887 bytes
コンパイル時間	2,822 ms
コンパイル使用メモリ	295,200 KB
最終ジャッジ日時	2025-01-16 21:32:24
ジャッジサーバーID （参考情報）	judge3 / judge5
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

raw source code
/**
 *  date : 2020-12-10 19:12:52
 */

#define NDEBUG

using namespace std;

// intrinstic
#include <immintrin.h>

#include <algorithm>
#include <array>
#include <bitset>
#include <cassert>
#include <cctype>
#include <cfenv>
#include <cfloat>
#include <chrono>
#include <cinttypes>
#include <climits>
#include <cmath>
#include <complex>
#include <csetjmp>
#include <csignal>
#include <cstdarg>
#include <cstddef>
#include <cstdint>
#include <cstdio>
#include <cstdlib>
#include <cstring>
#include <ctime>
#include <deque>
#include <exception>
#include <forward_list>
#include <fstream>
#include <functional>
#include <initializer_list>
#include <iomanip>
#include <ios>
#include <iosfwd>
#include <iostream>
#include <istream>
#include <iterator>
#include <limits>
#include <list>
#include <locale>
#include <map>
#include <memory>
#include <new>
#include <numeric>
#include <ostream>
#include <queue>
#include <random>
#include <ratio>
#include <regex>
#include <set>
#include <sstream>
#include <stack>
#include <stdexcept>
#include <streambuf>
#include <string>
#include <system_error>
#include <tuple>
#include <type_traits>
#include <typeinfo>
#include <unordered_map>
#include <unordered_set>
#include <utility>
#include <valarray>
#include <vector>

// utility
namespace Nyaan {
using ll = long long;
using i64 = long long;
using u64 = unsigned long long;
using i128 = __int128_t;
using u128 = __uint128_t;

template <typename T>
using V = vector<T>;
template <typename T>
using VV = vector<vector<T>>;
using vi = vector<int>;
using vl = vector<long long>;
using vd = V<double>;
using vs = V<string>;
using vvi = vector<vector<int>>;
using vvl = vector<vector<long long>>;

template <typename T, typename U>
struct P : pair<T, U> {
  template <typename... Args>
  P(Args... args) : pair<T, U>(args...) {}

  using pair<T, U>::first;
  using pair<T, U>::second;

  T &x() { return first; }
  const T &x() const { return first; }
  U &y() { return second; }
  const U &y() const { return second; }

  P &operator+=(const P &r) {
    first += r.first;
    second += r.second;
    return *this;
  }
  P &operator-=(const P &r) {
    first -= r.first;
    second -= r.second;
    return *this;
  }
  P &operator*=(const P &r) {
    first *= r.first;
    second *= r.second;
    return *this;
  }
  P operator+(const P &r) const { return P(*this) += r; }
  P operator-(const P &r) const { return P(*this) -= r; }
  P operator*(const P &r) const { return P(*this) *= r; }
};

using pl = P<ll, ll>;
using pi = P<int, int>;
using vp = V<pl>;

constexpr int inf = 1001001001;
constexpr long long infLL = 4004004004004004004LL;

template <typename T>
int sz(const T &t) {
  return t.size();
}
template <typename T, size_t N>
void mem(T (&a)[N], int c) {
  memset(a, c, sizeof(T) * N);
}

template <typename T, typename U>
inline bool amin(T &x, U y) {
  return (y < x) ? (x = y, true) : false;
}
template <typename T, typename U>
inline bool amax(T &x, U y) {
  return (x < y) ? (x = y, true) : false;
}

template <typename T>
int lb(const vector<T> &v, const T &a) {
  return lower_bound(begin(v), end(v), a) - begin(v);
}
template <typename T>
int ub(const vector<T> &v, const T &a) {
  return upper_bound(begin(v), end(v), a) - begin(v);
}

constexpr long long TEN(int n) {
  long long ret = 1, x = 10;
  for (; n; x *= x, n >>= 1) ret *= (n & 1 ? x : 1);
  return ret;
}

template <typename T, typename U>
pair<T, U> mkp(const T &t, const U &u) {
  return make_pair(t, u);
}

template <typename T>
vector<T> mkrui(const vector<T> &v, bool rev = false) {
  vector<T> ret(v.size() + 1);
  if (rev) {
    for (int i = int(v.size()) - 1; i >= 0; i--) ret[i] = v[i] + ret[i + 1];
  } else {
    for (int i = 0; i < int(v.size()); i++) ret[i + 1] = ret[i] + v[i];
  }
  return ret;
};

template <typename T>
vector<T> mkuni(const vector<T> &v) {
  vector<T> ret(v);
  sort(ret.begin(), ret.end());
  ret.erase(unique(ret.begin(), ret.end()), ret.end());
  return ret;
}

template <typename F>
vector<int> mkord(int N, F f) {
  vector<int> ord(N);
  iota(begin(ord), end(ord), 0);
  sort(begin(ord), end(ord), f);
  return ord;
}

template <typename T>
vector<T> reord(const vector<T> &v, const vector<T> &ord) {
  int N = v.size();
  vector<T> ret(N);
  for (int i = 0; i < N; i++) ret[i] = v[ord[i]];
  return ret;
};

template <typename T = int>
vector<T> mkiota(int N) {
  vector<T> ret(N);
  iota(begin(ret), end(ret), 0);
  return ret;
}

template <typename T>
vector<int> mkinv(vector<T> &v, int max_val = -1) {
  if (max_val < (int)v.size()) max_val = v.size() - 1;
  vector<int> inv(max_val + 1, -1);
  for (int i = 0; i < (int)v.size(); i++) inv[v[i]] = i;
  return inv;
}

}  // namespace Nyaan

// bit operation
namespace Nyaan {

__attribute__((target("popcnt"))) inline int popcnt(const u64 &a) {
  return _mm_popcnt_u64(a);
}

__attribute__((target("bmi"))) inline int lsb(const u64 &a) {
  return _tzcnt_u64(a);
}
__attribute__((target("bmi"))) inline int ctz(const u64 &a) {
  return _tzcnt_u64(a);
}

__attribute__((target("lzcnt"))) inline int msb(const u64 &a) {
  return 63 - _lzcnt_u64(a);
}
__attribute__((target("lzcnt"))) inline int clz64(const u64 &a) {
  return _lzcnt_u64(a);
}

template <typename T>
inline int gbit(const T &a, int i) {
  return (a >> i) & 1;
}
template <typename T>
inline void sbit(T &a, int i, bool b) {
  a ^= (gbit(a, i) == b ? 0 : (T(b) << i));
}

constexpr long long PW(int n) { return 1LL << n; }

constexpr long long MSK(int n) { return (1LL << n) - 1; }

}  // namespace Nyaan

// inout
namespace Nyaan {

template <typename T, typename U>
ostream &operator<<(ostream &os, const pair<T, U> &p) {
  os << p.first << " " << p.second;
  return os;
}
template <typename T, typename U>
istream &operator>>(istream &is, pair<T, U> &p) {
  is >> p.first >> p.second;
  return is;
}

template <typename T>
ostream &operator<<(ostream &os, const vector<T> &v) {
  int s = (int)v.size();
  for (int i = 0; i < s; i++) os << (i ? " " : "") << v[i];
  return os;
}
template <typename T>
istream &operator>>(istream &is, vector<T> &v) {
  for (auto &x : v) is >> x;
  return is;
}

void in() {}
template <typename T, class... U>
void in(T &t, U &... u) {
  cin >> t;
  in(u...);
}

void out() { cout << "\n"; }
template <typename T, class... U, char sep = ' '>
void out(const T &t, const U &... u) {
  cout << t;
  if (sizeof...(u)) cout << sep;
  out(u...);
}

void outr() {}
template <typename T, class... U, char sep = ' '>
void outr(const T &t, const U &... u) {
  cout << t;
  outr(u...);
}

struct IoSetupNya {
  IoSetupNya() {
    cin.tie(nullptr);
    ios::sync_with_stdio(false);
    cout << fixed << setprecision(15);
    cerr << fixed << setprecision(7);
  }
} iosetupnya;

}  // namespace Nyaan

// debug
namespace DebugImpl {

template <typename U, typename = void>
struct is_specialize : false_type {};
template <typename U>
struct is_specialize<
    U, typename conditional<false, typename U::iterator, void>::type>
    : true_type {};
template <typename U>
struct is_specialize<
    U, typename conditional<false, decltype(U::first), void>::type>
    : true_type {};
template <typename U>
struct is_specialize<U, enable_if_t<is_integral<U>::value, void>> : true_type {
};

void dump(const char& t) { cerr << t; }

void dump(const string& t) { cerr << t; }

template <typename U,
          enable_if_t<!is_specialize<U>::value, nullptr_t> = nullptr>
void dump(const U& t) {
  cerr << t;
}

template <typename T>
void dump(const T& t, enable_if_t<is_integral<T>::value>* = nullptr) {
  string res;
  if (t == Nyaan::inf) res = "inf";
  if (is_signed<T>::value)
    if (t == -Nyaan::inf) res = "-inf";
  if (sizeof(T) == 8) {
    if (t == Nyaan::infLL) res = "inf";
    if (is_signed<T>::value)
      if (t == -Nyaan::infLL) res = "-inf";
  }
  if (res.empty()) res = to_string(t);
  cerr << res;
}

template <typename T, typename U>
void dump(const pair<T, U>&);
template <typename T>
void dump(const pair<T*, int>&);

template <typename T>
void dump(const T& t,
          enable_if_t<!is_void<typename T::iterator>::value>* = nullptr) {
  cerr << "[ ";
  for (auto it = t.begin(); it != t.end();) {
    dump(*it);
    cerr << (++it == t.end() ? "" : ", ");
  }
  cerr << " ]";
}

template <typename T, typename U>
void dump(const pair<T, U>& t) {
  cerr << "( ";
  dump(t.first);
  cerr << ", ";
  dump(t.second);
  cerr << " )";
}

template <typename T>
void dump(const pair<T*, int>& t) {
  cerr << "[ ";
  for (int i = 0; i < t.second; i++) {
    dump(t.first[i]);
    cerr << (i == t.second - 1 ? "" : ", ");
  }
  cerr << " ]";
}

void trace() { cerr << endl; }
template <typename Head, typename... Tail>
void trace(Head&& head, Tail&&... tail) {
  cerr << " ";
  dump(head);
  if (sizeof...(tail) != 0) cerr << ",";
  trace(forward<Tail>(tail)...);
}

}  // namespace DebugImpl

#ifdef NyaanDebug
#define trc(...)                            \
  do {                                      \
    cerr << "## " << #__VA_ARGS__ << " = "; \
    DebugImpl::trace(__VA_ARGS__);          \
  } while (0)
#else
#define trc(...)
#endif

// macro
#define each(x, v) for (auto&& x : v)
#define each2(x, y, v) for (auto&& [x, y] : v)
#define all(v) (v).begin(), (v).end()
#define rep(i, N) for (long long i = 0; i < (long long)(N); i++)
#define repr(i, N) for (long long i = (long long)(N)-1; i >= 0; i--)
#define rep1(i, N) for (long long i = 1; i <= (long long)(N); i++)
#define repr1(i, N) for (long long i = (N); (long long)(i) > 0; i--)
#define reg(i, a, b) for (long long i = (a); i < (b); i++)
#define regr(i, a, b) for (long long i = (b)-1; i >= (a); i--)
#define repc(i, a, cond) for (long long i = (a); (cond); i++)
#define enm(i, val, vec)                                  \
  for (long long i = 0; i < (long long)(vec).size(); i++) \
    if (auto& val = vec[i]; false)                        \
      ;                                                   \
    else

#define ini(...)   \
  int __VA_ARGS__; \
  in(__VA_ARGS__)
#define inl(...)         \
  long long __VA_ARGS__; \
  in(__VA_ARGS__)
#define ins(...)      \
  string __VA_ARGS__; \
  in(__VA_ARGS__)
#define inc(...)    \
  char __VA_ARGS__; \
  in(__VA_ARGS__)
#define in2(s, t)                           \
  for (int i = 0; i < (int)s.size(); i++) { \
    in(s[i], t[i]);                         \
  }
#define in3(s, t, u)                        \
  for (int i = 0; i < (int)s.size(); i++) { \
    in(s[i], t[i], u[i]);                   \
  }
#define in4(s, t, u, v)                     \
  for (int i = 0; i < (int)s.size(); i++) { \
    in(s[i], t[i], u[i], v[i]);             \
  }

#define die(...)             \
  do {                       \
    Nyaan::out(__VA_ARGS__); \
    return;                  \
  } while (0)

namespace Nyaan {
void solve();
}
int main() { Nyaan::solve(); }

//

template <size_t X = 26, char margin = 'a'>
struct Trie {
  struct Node {
    array<int, X> nxt;
    vector<int> idxs;
    int idx;
    char key;
    Node(char c) : idx(-1), key(c) { fill(nxt.begin(), nxt.end(), -1); }
  };

  vector<Node> st;

  Trie(char c = '$') { st.emplace_back(c); }

  inline int &next(int i, int j) { return st[i].nxt[j]; }

  void add(const string &s, int x) {
    int pos = 0;
    for (int i = 0; i < (int)s.size(); i++) {
      int k = s[i] - margin;
      if (~next(pos, k)) {
        pos = next(pos, k);
        continue;
      }
      int npos = st.size();
      next(pos, k) = npos;
      st.emplace_back(s[i]);
      pos = npos;
    }
    st[pos].idx = x;
    st[pos].idxs.emplace_back(x);
  }

  int find(const string &s) {
    int pos = 0;
    for (int i = 0; i < (int)s.size(); i++) {
      int k = s[i] - margin;
      if (next(pos, k) < 0) return -1;
      pos = next(pos, k);
    }
    return pos;
  }

  int move(int pos, char c) {
    assert(pos < (int)st.size());
    return pos < 0 ? -1 : next(pos, c - margin);
  }

  int size() const { return st.size(); }

  int idx(int pos) { return pos < 0 ? -1 : st[pos].idx; }

  vector<int> idxs(int pos) { return pos < 0 ? vector<int>() : st[pos].idxs; }
};

template <size_t X = 26, char margin = 'a'>
struct AhoCorasick : Trie<X + 1, margin> {
  using TRIE = Trie<X + 1, margin>;
  using TRIE::next;
  using TRIE::st;
  using TRIE::TRIE;
  vector<int> cnt;

  void build(int heavy = true) {
    int n = st.size();
    cnt.resize(n);
    for (int i = 0; i < n; i++) {
      if (heavy) sort(st[i].idxs.begin(), st[i].idxs.end());
      cnt[i] = st[i].idxs.size();
    }

    queue<int> que;
    for (int i = 0; i < (int)X; i++) {
      if (~next(0, i)) {
        next(next(0, i), X) = 0;
        que.emplace(next(0, i));
      } else {
        next(0, i) = 0;
      }
    }

    while (!que.empty()) {
      auto &x = st[que.front()];
      int fail = x.nxt[X];

      cnt[que.front()] += cnt[fail];
      que.pop();

      for (int i = 0; i < (int)X; i++) {
        int &nx = x.nxt[i];
        if (nx < 0) {
          nx = next(fail, i);
          continue;
        }
        que.emplace(nx);
        next(nx, X) = next(fail, i);
        if (heavy) {
          auto &idx = st[nx].idxs;
          auto &idy = st[next(fail, i)].idxs;
          vector<int> idz;
          set_union(idx.begin(), idx.end(), idy.begin(), idy.end(),
                    back_inserter(idz));
          idx = idz;
        }
      }
    }
  }

  vector<int> match(string s, int heavy = true) {
    vector<int> res(heavy ? TRIE::size() : 1);
    int pos = 0;
    for (auto &c : s) {
      pos = next(pos, c - margin);
      if (heavy)
        for (auto &x : st[pos].idxs) res[x]++;
      else
        res[0] += cnt[pos];
    }
    return res;
  }

  int count(int pos) { return cnt[pos]; }
};




template <uint32_t mod>
struct LazyMontgomeryModInt {
  using mint = LazyMontgomeryModInt;
  using i32 = int32_t;
  using u32 = uint32_t;
  using u64 = uint64_t;

  static constexpr u32 get_r() {
    u32 ret = mod;
    for (i32 i = 0; i < 4; ++i) ret *= 2 - mod * ret;
    return ret;
  }

  static constexpr u32 r = get_r();
  static constexpr u32 n2 = -u64(mod) % mod;
  static_assert(r * mod == 1, "invalid, r * mod != 1");
  static_assert(mod < (1 << 30), "invalid, mod >= 2 ^ 30");
  static_assert((mod & 1) == 1, "invalid, mod % 2 == 0");

  u32 a;

  constexpr LazyMontgomeryModInt() : a(0) {}
  constexpr LazyMontgomeryModInt(const int64_t &b)
      : a(reduce(u64(b % mod + mod) * n2)){};

  static constexpr u32 reduce(const u64 &b) {
    return (b + u64(u32(b) * u32(-r)) * mod) >> 32;
  }

  constexpr mint &operator+=(const mint &b) {
    if (i32(a += b.a - 2 * mod) < 0) a += 2 * mod;
    return *this;
  }

  constexpr mint &operator-=(const mint &b) {
    if (i32(a -= b.a) < 0) a += 2 * mod;
    return *this;
  }

  constexpr mint &operator*=(const mint &b) {
    a = reduce(u64(a) * b.a);
    return *this;
  }

  constexpr mint &operator/=(const mint &b) {
    *this *= b.inverse();
    return *this;
  }

  constexpr mint operator+(const mint &b) const { return mint(*this) += b; }
  constexpr mint operator-(const mint &b) const { return mint(*this) -= b; }
  constexpr mint operator*(const mint &b) const { return mint(*this) *= b; }
  constexpr mint operator/(const mint &b) const { return mint(*this) /= b; }
  constexpr bool operator==(const mint &b) const {
    return (a >= mod ? a - mod : a) == (b.a >= mod ? b.a - mod : b.a);
  }
  constexpr bool operator!=(const mint &b) const {
    return (a >= mod ? a - mod : a) != (b.a >= mod ? b.a - mod : b.a);
  }
  constexpr mint operator-() const { return mint() - mint(*this); }

  constexpr mint pow(u64 n) const {
    mint ret(1), mul(*this);
    while (n > 0) {
      if (n & 1) ret *= mul;
      mul *= mul;
      n >>= 1;
    }
    return ret;
  }
  
  constexpr mint inverse() const { return pow(mod - 2); }

  friend ostream &operator<<(ostream &os, const mint &b) {
    return os << b.get();
  }

  friend istream &operator>>(istream &is, mint &b) {
    int64_t t;
    is >> t;
    b = LazyMontgomeryModInt<mod>(t);
    return (is);
  }
  
  constexpr u32 get() const {
    u32 ret = reduce(a);
    return ret >= mod ? ret - mod : ret;
  }

  static constexpr u32 get_mod() { return mod; }
};

template <int margin = 'a'>
struct SuffixAutomaton {
  struct state {
    vector<pair<char, int>> next;
    uint64_t hit;
    int len, link, origin;
    char key;
    bool sorted;

    state() : hit(0), len(0), link(-1), origin(-1), key(0), sorted(false) {}
    state(int l, char k)
        : hit(0), len(l), link(-1), origin(-1), key(k), sorted(false) {}

    __attribute__((target("popcnt"))) int find(char c) const {
      c -= margin;
      if (((hit >> c) & 1) == 0) return -1;
      if (sorted) {
        return _mm_popcnt_u64(hit & ((1ull << c) - 1));
      } else {
        c += margin;
        for (int i = 0; i < (int)next.size(); i++) {
          if (next[i].first == c) return i;
        }
        assert(0);
      }
    }

    inline int to(char c) const { 
      int f = find(c);
      return ~f ? next[find(c)].second : -1; 
    }

    void add(char c, int i) {
      c -= margin;
      assert(((hit >> c) & 1) == 0);
      next.emplace_back(c + margin, i);
      hit |= 1ull << c;
    }
  };
  vector<state> st;
  vector<int> topo;

  SuffixAutomaton() = default;

  SuffixAutomaton(const string &S) {
    build(S);
    st.push_back(state());
  }

  void build(const string &S) {
    int last = 0;
    for (int i = 0; i < (int)S.size(); i++) extend(S[i], last);
    tsort();
  }

  [[deprecated]] void build(const vector<string> &S) {
    for (auto &s : S) {
      int i = 0, last = 0;
      while (i < (int)s.size()) {
        int f = st[last].find(s[i]);
        if (f == -1) break;
        last = st[last].next[f].second;
        i++;
      }
      for (; i < (int)s.size(); i++) extend(s[i], last);
    }
  }

  int size() const { return st.size(); }

  int find(const string &s) const {
    int last = 0;
    for (auto &c : s) {
      int nx = st[last].find(c);
      if (nx == -1) return -1;
      last = st[last].next[nx].second;
    }
    return last;
  }

  state &operator[](int i) { return st[i]; }

 private:
  void extend(char c, int &last) {
    int cur = st.size();
    st.emplace_back(st[last].len + 1, c);
    int p = last;
    for (; p != -1 && st[p].find(c) == -1; p = st[p].link) {
      st[p].add(c, cur);
    }
    if (p == -1) {
      st[cur].link = 0;
    } else {
      int q = st[p].to(c);
      if (st[p].len + 1 == st[q].len)
        st[cur].link = q;
      else {
        int clone = st.size();
        {
          state cl = st[q];
          cl.len = st[p].len + 1;
          cl.origin = q;
          st.push_back(std::move(cl));
        }
        for (; p != -1; p = st[p].link) {
          int i = st[p].find(c);
          assert(i != -1);
          if (st[p].next[i].second != q) break;
          st[p].next[i].second = clone;
        }
        st[q].link = st[cur].link = clone;
      }
    }
    last = cur;
  }

  vector<bool> marked, temp;
  vector<vector<int>> buf;

  void dfs(int i) {
    temp[i] = 1;
    for (auto &[_, j] : st[i].next)
      if (!marked[j]) dfs(j);
    for (auto &j : buf[i])
      if (!marked[j]) dfs(j);
    marked[i] = 1;
    topo.push_back(i);
    temp[i] = 0;
  }

  void tsort() {
    int n = st.size();
    marked.resize(n), temp.resize(n), buf.resize(n);
    for (int i = 1; i < n; i++) buf[st[i].link].push_back(i);
    for (int i = 0; i < n; i++)
      if (!marked[i]) dfs(i);
    reverse(begin(topo), end(topo));
    buf.clear();
    buf.shrink_to_fit();
    marked.clear();
    marked.shrink_to_fit();
    temp.clear();
    temp.shrink_to_fit();

    vector<int> inv(n);
    for (int i = 0; i < n; i++) inv[topo[i]] = i;
    {
      vector<state> st2;
      for (int i = 0; i < n; i++) st2.emplace_back(std::move(st[topo[i]]));
      st.swap(st2);
    }
    for (int i = 0; i < n; i++) {
      state &s = st[i];
      sort(begin(s.next), end(s.next));
      s.sorted = true;
      for (auto &[_, y] : s.next) y = inv[y];
      if (s.link != -1) s.link = inv[s.link];
      if (s.origin != -1) s.origin = inv[s.origin];
    }
    topo.clear();
    topo.shrink_to_fit();
  }
};

/**
 * @brief Suffix Automaton
 * @docs docs/string/suffix-automaton.md
 */

using mint = LazyMontgomeryModInt<1000000007>;
using vm = vector<mint>;

void Nyaan::solve() {
  inl(N, L, R);
  vl fs;
  {
    ll f = 1;
    ll g = 1;
    while (g <= R) {
      if (L <= g) fs.push_back(g);
      swap(f += g, g);
    }
  }
  vs ss;
  each(x, fs) ss.push_back(to_string(x));

  AhoCorasick<10, '0'> aho;
  enm(i, s, ss) aho.add(s, i);
  aho.build();

  vm dp(aho.size());
  dp[0] = 1;
  rep(_, N) {
    vm nx(aho.size());
    rep(i, sz(aho)) {
      if (aho.count(i)) continue;
      rep(j, 10) {
        auto n = aho.next(i, j);
        nx[n] += dp[i];
      }
    }
    swap(dp, nx);
  }

  mint ans = 0;
  rep(i, sz(aho)) if (!aho.count(i)) ans += dp[i];
  out(ans - 1);
}
yukicoder

結果

ソースコード
