// >>> TEMPLATES #include using namespace std; using ll = long long; using ld = long double; using i32 = int32_t; using i64 = int64_t; using u32 = uint32_t; using u64 = uint64_t; #define int ll #define double ld #define rep(i,n) for (int i = 0; i < (int)(n); i++) #define rep1(i,n) for (int i = 1; i <= (int)(n); i++) #define repR(i,n) for (int i = (int)(n)-1; i >= 0; i--) #define rep1R(i,n) for (int i = (int)(n); i >= 1; i--) #define loop(i,a,B) for (int i = a; i B; i++) #define loopR(i,a,B) for (int i = a; i B; i--) #define all(x) begin(x), end(x) #define allR(x) rbegin(x), rend(x) #define rng(x,l,r) begin(x) + (l), begin(x) + (r) #define pb push_back #define eb emplace_back #define mp make_pair #define fst first #define snd second template auto constexpr inf = numeric_limits::max()/2-1; auto constexpr INF32 = inf; auto constexpr INF64 = inf; auto constexpr INF = inf; #ifdef LOCAL #include "debug.hpp" #else #define dump(...) (void)(0) #define say(x) (void)(0) #define debug if (0) #endif template using pque_max = priority_queue; template using pque_min = priority_queue, greater>; template ::value, int> = 0> ostream& operator<<(ostream& os, T const& a) { bool f = true; for (auto const& x : a) os << (f ? "" : " ") << x, f = false; return os; } template ::value, int> = 0> ostream& operator<<(ostream& os, const T (&a)[N]) { bool f = true; for (auto const& x : a) os << (f ? "" : " ") << x, f = false; return os; } template ())), class = typename enable_if::value>::type> istream& operator>>(istream& is, T &a) { for (auto& x : a) is >> x; return is; } template ostream& operator<<(ostream& os, pair const& p) { return os << "(" << p.first << ", " << p.second << ")"; } template istream& operator>>(istream& is, pair& p) { return is >> p.first >> p.second; } struct IOSetup { IOSetup() { cin.tie(nullptr); ios::sync_with_stdio(false); cout << fixed << setprecision(15); } } iosetup; template struct FixPoint : private F { constexpr FixPoint(F&& f) : F(forward(f)) {} template constexpr auto operator()(T&&... x) const { return F::operator()(*this, forward(x)...); } }; struct MakeFixPoint { template constexpr auto operator|(F&& f) const { return FixPoint(forward(f)); } }; #define MFP MakeFixPoint()| #define def(name, ...) auto name = MFP [&](auto &&name, __VA_ARGS__) template struct vec_impl { using type = vector::type>; template static type make_v(size_t n, U&&... x) { return type(n, vec_impl::make_v(forward(x)...)); } }; template struct vec_impl { using type = T; static type make_v(T const& x = {}) { return x; } }; template using vec = typename vec_impl::type; template auto make_v(Args&&... args) { return vec_impl::make_v(forward(args)...); } template void quit(T const& x) { cout << x << endl; exit(0); } template constexpr bool chmin(T& x, U const& y) { if (x > y) { x = y; return true; } return false; } template constexpr bool chmax(T& x, U const& y) { if (x < y) { x = y; return true; } return false; } template constexpr auto sumof(It b, It e) { return accumulate(b, e, typename iterator_traits::value_type{}); } template int sz(T const& x) { return x.size(); } template int lbd(C const& v, T const& x) { return lower_bound(begin(v), end(v), x)-begin(v); } template int ubd(C const& v, T const& x) { return upper_bound(begin(v), end(v), x)-begin(v); } const int dx[] = { 1,0,-1,0 }; const int dy[] = { 0,1,0,-1 }; constexpr int popcnt(ll x) { return __builtin_popcountll(x); } // [a,b] template Int rand(Int a, Int b) { static mt19937_64 mt{random_device{}()}; return uniform_int_distribution(a,b)(mt); } i64 irand(i64 a, i64 b) { return rand(a,b); } u64 urand(u64 a, u64 b) { return rand(a,b); } // <<< // >>> Aho-Corasick template struct PMA { using i32 = int32_t; struct Node { vector next, go; i32 fail = -1; bool ac = false; Node() : next(AlphabetSize,-1), go(AlphabetSize,-1) {} }; vector t; bool built = false; PMA() : t(1) {} int size() const { return t.size(); } Node& operator[](size_t idx) { return t[idx]; } Node const& operator[](size_t idx) const { return t[idx]; } template void add(Str const& s, i32 offset) { int x = 0; for (auto c : s) { c -= offset; assert(0 <= c && c < AlphabetSize); if (t[x].next[c] < 0) t[x].next[c] = t.size(), t.emplace_back(); x = t[x].next[c]; } t[x].ac = true; built = false; } void build() { queue q; t[0].fail = 0; for (int x : t[0].next) { if (x < 0) continue; t[x].fail = 0; q.push(x); } while (q.size()) { int x = q.front(); q.pop(); rep (c,AlphabetSize) { int y = t[x].next[c]; if (y < 0) continue; q.push(y); int z = t[x].fail; while (z > 0 && t[z].next[c] < 0) z = t[z].fail; t[y].fail = max(0, t[z].next[c]); } } built = true; } int go(int x, int c) { assert(built); i32 &ret = t[x].go[c]; if (ret >= 0) return ret; if (t[x].next[c] >= 0) return ret = t[x].next[c]; return ret = (x == 0 ? 0 : go(t[x].fail, c)); } int next_match(int x) { // excluding x assert(built); static vector ret; if (ret.empty()) ret.resize(size(),-2); int &y = ret[x]; if (y != -2) return y; y = t[x].fail; while (y > 0 && not t[y].ac) y = t[y].fail; if (not t[y].ac) y = -1; return y; } vector> show() const { vector> ret(size()); vector a; auto dfs = [&](auto dfs, int x) -> void { rep (c,AlphabetSize) { int y = t[x].next[c]; if (y < 0) continue; a.push_back(c); ret[y] = a; dfs(dfs, y); a.pop_back(); } }; dfs(dfs,0); return ret; } #ifdef LOCAL friend string to_s(PMA const& pma) { auto v = pma.show(); string ret = "size : "s + to_string(pma.size()) + "\n"; rep (x,pma.size()) { ret += to_string(x) + " " + to_s(pma[x].ac) + " " + to_s(v[x]) + "\n"; } return ret; } #endif }; // <<< // >>> modint template class modint { static_assert(md < (1u<<31), ""); using M = modint; using i64 = int64_t; uint32_t x; public: static constexpr uint32_t mod = md; constexpr modint(i64 x = 0) : x((x%=md) < 0 ? x+md : x) { } constexpr i64 val() const { return x; } constexpr explicit operator i64() const { return x; } constexpr bool operator==(M r) const { return x == r.x; } constexpr bool operator!=(M r) const { return x != r.x; } constexpr M operator+() const { return *this; } constexpr M operator-() const { return M()-*this; } constexpr M& operator+=(M r) { x += r.x; x = (x < md ? x : x-md); return *this; } constexpr M& operator-=(M r) { x += md-r.x; x = (x < md ? x : x-md); return *this; } constexpr M& operator*=(M r) { x = (uint64_t(x)*r.x)%md; return *this; } constexpr M& operator/=(M r) { return *this *= r.inv(); } constexpr M operator+(M r) const { return M(*this) += r; } constexpr M operator-(M r) const { return M(*this) -= r; } constexpr M operator*(M r) const { return M(*this) *= r; } constexpr M operator/(M r) const { return M(*this) /= r; } friend constexpr M operator+(i64 x, M y) { return M(x)+y; } friend constexpr M operator-(i64 x, M y) { return M(x)-y; } friend constexpr M operator*(i64 x, M y) { return M(x)*y; } friend constexpr M operator/(i64 x, M y) { return M(x)/y; } constexpr M inv() const { assert(x > 0); return pow(md-2); } constexpr M pow(i64 n) const { assert(not (x == 0 && n == 0)); if (n < 0) return inv().pow(-n); M v = *this, r = 1; for (; n > 0; n >>= 1, v *= v) if (n&1) r *= v; return r; } #ifdef LOCAL friend string to_s(M r) { return to_s(r.val(), mod); } #endif friend ostream& operator<<(ostream& os, M r) { return os << r.val(); } friend istream& operator>>(istream& is, M &r) { i64 x; is >> x; r = x; return is; } }; // <<< //constexpr int64_t MOD = 998244353; constexpr int64_t MOD = 1e9+7; using mint = modint; mint sgn(int n) { return n%2 == 0 ? +1 : -1; } // >>> mod table template struct ModTable { vector fact = {1,1}, finv = {1,1}, inv = {0,1}; void calc(int n) { int old = fact.size(); if (n < old) return; fact.resize(n+1); finv.resize(n+1); inv.resize(n+1); for (uint32_t i = old; i <= n; i++) { fact[i] = uint64_t(fact[i-1])*i % mod; inv[i] = mod - uint64_t(inv[mod%i])*(mod/i) % mod; finv[i] = uint64_t(finv[i-1])*inv[i] % mod; } } }; ModTable mod_tab; modint fact(int n) { assert(0 <= n); return mod_tab.calc(n), mod_tab.fact[n]; } modint finv(int n) { assert(0 <= n); return mod_tab.calc(n), mod_tab.finv[n]; } modint C(int n, int k) { if (n < 0 || k < 0 || n < k) return 0; return fact(n)*finv(k)*finv(n-k); } modint P(int n, int k) { assert(k >= 0); assert(n >= k); return fact(n)*finv(n-k); } // <<< int32_t main() { vector F = {1,1}; while (true) { int x = F.end()[-2] + F.end()[-1]; if (x > INF) break; F.eb(x); } dump(F.size()); int n,l,r; cin >> n >> l >> r; PMA<10> pma; for (int x : F) if (l <= x && x <= r) pma.add(to_string(x), '0'); pma.build(); int k = pma.size(); dump(k); auto dp = make_v(n+1,k); dp[0][0] = 1; rep (i,n) rep (j,k) { rep (d,10) { int nj = pma.go(j,d); if (pma[nj].ac || pma.next_match(nj) >= 0) continue; dp[i+1][nj] += dp[i][j]; } } // debug { // rep (i,n+1) { // rep (j,k) if (dp[i][j] != 0) dump(i,j,dp[i][j]); // } // } cout << sumof(all(dp[n]))-1 << endl; }