#define _USE_MATH_DEFINES #include using namespace std; #define FOR(i,m,n) for(int i=(m);i<(n);++i) #define REP(i,n) FOR(i,0,n) #define ALL(v) (v).begin(),(v).end() using ll = long long; constexpr int INF = 0x3f3f3f3f; constexpr ll LINF = 0x3f3f3f3f3f3f3f3fLL; constexpr double EPS = 1e-8; constexpr int MOD = 1000000007; // constexpr int MOD = 998244353; constexpr int dy[] = {1, 0, -1, 0}, dx[] = {0, -1, 0, 1}; constexpr int dy8[] = {1, 1, 0, -1, -1, -1, 0, 1}, dx8[] = {0, -1, -1, -1, 0, 1, 1, 1}; template inline bool chmax(T &a, U b) { return a < b ? (a = b, true) : false; } template inline bool chmin(T &a, U b) { return a > b ? (a = b, true) : false; } struct IOSetup { IOSetup() { cin.tie(nullptr); ios_base::sync_with_stdio(false); cout << fixed << setprecision(20); } } iosetup; template struct MInt { unsigned val; MInt(): val(0) {} MInt(long long x) : val(x >= 0 ? x % MOD : x % MOD + MOD) {} static int get_mod() { return MOD; } static void set_mod(int divisor) { assert(divisor == MOD); } MInt pow(long long exponent) const { MInt tmp = *this, res = 1; while (exponent > 0) { if (exponent & 1) res *= tmp; tmp *= tmp; exponent >>= 1; } return res; } MInt &operator+=(const MInt &x) { if((val += x.val) >= MOD) val -= MOD; return *this; } MInt &operator-=(const MInt &x) { if((val += MOD - x.val) >= MOD) val -= MOD; return *this; } MInt &operator*=(const MInt &x) { val = static_cast(val) * x.val % MOD; return *this; } MInt &operator/=(const MInt &x) { // assert(std::__gcd(static_cast(x.val), MOD) == 1); unsigned a = x.val, b = MOD; int u = 1, v = 0; while (b) { unsigned tmp = a / b; std::swap(a -= tmp * b, b); std::swap(u -= tmp * v, v); } return *this *= u; } bool operator==(const MInt &x) const { return val == x.val; } bool operator!=(const MInt &x) const { return val != x.val; } bool operator<(const MInt &x) const { return val < x.val; } bool operator<=(const MInt &x) const { return val <= x.val; } bool operator>(const MInt &x) const { return val > x.val; } bool operator>=(const MInt &x) const { return val >= x.val; } MInt &operator++() { if (++val == MOD) val = 0; return *this; } MInt operator++(int) { MInt res = *this; ++*this; return res; } MInt &operator--() { val = (val == 0 ? MOD : val) - 1; return *this; } MInt operator--(int) { MInt res = *this; --*this; return res; } MInt operator+() const { return *this; } MInt operator-() const { return MInt(val ? MOD - val : 0); } MInt operator+(const MInt &x) const { return MInt(*this) += x; } MInt operator-(const MInt &x) const { return MInt(*this) -= x; } MInt operator*(const MInt &x) const { return MInt(*this) *= x; } MInt operator/(const MInt &x) const { return MInt(*this) /= x; } friend std::ostream &operator<<(std::ostream &os, const MInt &x) { return os << x.val; } friend std::istream &operator>>(std::istream &is, MInt &x) { long long val; is >> val; x = MInt(val); return is; } }; namespace std { template MInt abs(const MInt &x) { return x; } } template struct Combinatorics { using ModInt = MInt; int val; // "val!" and "mod" must be disjoint. std::vector fact, fact_inv, inv; Combinatorics(int val = 10000000) : val(val), fact(val + 1), fact_inv(val + 1), inv(val + 1) { fact[0] = 1; for (int i = 1; i <= val; ++i) fact[i] = fact[i - 1] * i; fact_inv[val] = ModInt(1) / fact[val]; for (int i = val; i > 0; --i) fact_inv[i - 1] = fact_inv[i] * i; for (int i = 1; i <= val; ++i) inv[i] = fact[i - 1] * fact_inv[i]; } ModInt nCk(int n, int k) const { if (n < 0 || n < k || k < 0) return 0; assert(n <= val && k <= val); return fact[n] * fact_inv[k] * fact_inv[n - k]; } ModInt nPk(int n, int k) const { if (n < 0 || n < k || k < 0) return 0; assert(n <= val); return fact[n] * fact_inv[n - k]; } ModInt nHk(int n, int k) const { if (n < 0 || k < 0) return 0; return k == 0 ? 1 : nCk(n + k - 1, k); } }; using ModInt = MInt; template struct Trie { struct Node { char c; int nx[char_sz]; std::vector tails; Node(char c) : c(c) { std::memset(nx, -1, sizeof(nx)); } }; std::vector nodes; Trie(const char basis = 'a') : basis(basis) { nodes.emplace_back('$'); } void add(const std::string &s, int id = -1, int pos = 0) { for (char c : s) { int now = convert(c); if (nodes[pos].nx[now] == -1) { int nx_pos = nodes.size(); nodes[pos].nx[now] = nx_pos; nodes.emplace_back(c); pos = nx_pos; } else { pos = nodes[pos].nx[now]; } } nodes[pos].tails.emplace_back(id); } int find(const std::string &t, int pos = 0) const { for (char c : t) { int now = convert(c); if (nodes[pos].nx[now] == -1) return -1; pos = nodes[pos].nx[now]; } return pos; } int convert(char c) const { return c - basis; } private: const char basis; }; template struct AhoCorasick : Trie { using Trie::Trie; std::vector cnt; void build() { is_built = true; auto &vertices = this->nodes; int n = vertices.size(); cnt.resize(n); for (int i = 0; i < n; ++i) { std::sort(vertices[i].tails.begin(), vertices[i].tails.end()); cnt[i] = vertices[i].tails.size(); } std::queue que; for (int i = 0; i < char_sz; ++i) { if (vertices[0].nx[i] == -1) { vertices[0].nx[i] = 0; } else { vertices[vertices[0].nx[i]].nx[char_sz] = 0; que.emplace(vertices[0].nx[i]); } } while (!que.empty()) { auto node = vertices[que.front()]; cnt[que.front()] += cnt[node.nx[char_sz]]; que.pop(); for (int i = 0; i < char_sz; ++i) { if (node.nx[i] == -1) continue; int on_failure = node.nx[char_sz]; while (vertices[on_failure].nx[i] == -1) on_failure = vertices[on_failure].nx[char_sz]; vertices[node.nx[i]].nx[char_sz] = vertices[on_failure].nx[i]; auto &ver = vertices[node.nx[i]].tails; std::vector tmp; std::set_union(ver.begin(), ver.end(), vertices[vertices[on_failure].nx[i]].tails.begin(), vertices[vertices[on_failure].nx[i]].tails.end(), std::back_inserter(tmp)); ver.resize(tmp.size()); std::copy(tmp.begin(), tmp.end(), ver.begin()); que.emplace(node.nx[i]); } } } int move(char c, int pos) const { // assert(is_built); int now = this->convert(c); while (this->nodes[pos].nx[now] == -1) pos = this->nodes[pos].nx[char_sz]; return pos = this->nodes[pos].nx[now]; } int match(const std::string &t, int pos = 0) const { assert(is_built); int total = 0; for (char c : t) { pos = move(c, pos); total += this->nodes[pos].tails.size(); } return total; } std::map match_heavy(const std::string &t, int pos = 0) const { assert(is_built); std::map mp; for (char c : t) { pos = move(c, pos); for (int e : this->nodes[pos].tails) ++mp[e]; } return mp; } private: bool is_built = false; }; int main() { constexpr int N = 88; vector fib(N, 1); FOR(i, 2, N) fib[i] = fib[i - 1] + fib[i - 2]; int n; ll l, r; cin >> n >> l >> r; { vector nx; FOR(i, 1, N) { if (l <= fib[i] && fib[i] <= r) nx.emplace_back(fib[i]); } fib.swap(nx); } // { // vector nx; // for (ll e : fib) { // string s = to_string(e); // bool ok = true; // for (ll f : nx) { // string t = to_string(f); // for (int i = 0; i + t.length() <= s.length(); ++i) ok &= s.substr(i, t.length()) != t; // } // if (ok) nx.emplace_back(e); // } // fib.swap(nx); // } AhoCorasick<10> aho('0'); for (ll e : fib) aho.add(to_string(e)); aho.build(); map, ModInt> dp; dp[{0, false}] = 1; while (n--) { map, ModInt> nx; for (auto [k, v] : dp) { auto [i, j] = k; REP(x, 10) { int node = aho.move('0' + x, i); if (aho.nodes[node].tails.empty()) nx[{node, j || x > 0}] += v; } } dp.swap(nx); } ModInt ans = 0; for (auto [k, v] : dp) { if (k.second) ans += v; } cout << ans << '\n'; return 0; }