// >>> 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 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 fst first #define snd second template constexpr auto mp(A &&a, B &&b) { return make_pair(forward(a), forward(b)); } template constexpr auto mt(T&&... x) { return make_tuple(forward(x)...); } 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 struct pque : priority_queue, Comp> { vector &data() { return this->c; } void clear() { this->c.clear(); } }; template using pque_max = pque>; template using pque_min = pque>; 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 > (T)y) { x = (T)y; return true; } return false; } template constexpr bool chmax(T& x, U const& y) { if (x < (T)y) { x = (T)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); } constexpr int64_t mod(int64_t x, int64_t m) { assert(m > 0); return (x %= m) < 0 ? x+m : x; } constexpr int64_t div_floor(int64_t x, int64_t y) { assert(y != 0); return x/y - ((x^y) < 0 and x%y); } constexpr int64_t div_ceil(int64_t x, int64_t y) { assert(y != 0); return x/y + ((x^y) > 0 and x%y); } constexpr int dx[] = { 1, 0, -1, 0, 1, -1, -1, 1 }; constexpr int dy[] = { 0, 1, 0, -1, 1, 1, -1, -1 }; constexpr int popcnt(ll x) { return __builtin_popcountll(x); } mt19937_64 seed_{random_device{}()}; template Int rand(Int a, Int b) { return uniform_int_distribution(a, b)(seed_); } i64 irand(i64 a, i64 b) { return rand(a, b); } // [a, b] u64 urand(u64 a, u64 b) { return rand(a, b); } // template void shuffle(It l, It r) { shuffle(l, r, seed_); } template V &operator--(V &v) { for (auto &x : v) --x; return v; } template V &operator++(V &v) { for (auto &x : v) ++x; return v; } // <<< // >>> is_prime, factor namespace internal { using i64 = int64_t; using u32 = uint32_t; using u64 = uint64_t; using u128 = __uint128_t; mt19937_64 mt{random_device{}()}; u64 rnd(u64 n) { return uniform_int_distribution(0, n-1)(mt); } // >>> montgomery (64bit) struct m64 { using i64 = int64_t; using u64 = uint64_t; using u128 = __uint128_t; inline static u64 m, r, n2; // r * m = -1 (mod 1<<64), n2 = 1<<128 (mod m) static void set_mod(u64 m) { assert(m < (1ull << 62)); assert((m & 1) == 1); m64::m = m; n2 = -u128(m) % m; r = m; rep (_, 5) r *= 2 - m*r; r = -r; assert(r * m == -1ull); } static u64 reduce(u128 b) { return (b + u128(u64(b) * r) * m) >> 64; } u64 x; m64() : x(0) {} m64(u64 x) : x(reduce(u128(x) * n2)){}; u64 val() const { u64 y = reduce(x); return y >= m ? y-m : y; } m64 &operator+=(m64 y) { x += y.x - (m << 1); x = (i64(x) < 0 ? x + (m << 1) : x); return *this; } m64 &operator-=(m64 y) { x -= y.x; x = (i64(x) < 0 ? x + (m << 1) : x); return *this; } m64 &operator*=(m64 y) { x = reduce(u128(x) * y.x); return *this; } m64 operator+(m64 y) const { return m64(*this) += y; } m64 operator-(m64 y) const { return m64(*this) -= y; } m64 operator*(m64 y) const { return m64(*this) *= y; } bool operator==(m64 y) const { return (x >= m ? x-m : x) == (y.x >= m ? y.x-m : y.x); } bool operator!=(m64 y) const { return not operator==(y); } m64 pow(u64 n) const { m64 y = 1, z = *this; for ( ; n; n >>= 1, z *= z) if (n & 1) y *= z; return y; } }; // <<< // >>> is_prime (Miller-Rabin) bool is_prime(const uint64_t x) { if (x == 2 or x == 3 or x == 5 or x == 7) return true; if (x % 2 == 0 or x % 3 == 0 or x % 5 == 0 or x % 7 == 0) return false; if (x < 121) return x > 1; const u64 d = (x-1) >> __builtin_ctzll(x-1); m64::set_mod(x); const m64 one(1), minus_one(x-1); auto ok = [&](u64 a) { auto y = m64(a).pow(d); u64 t = d; while (y != one and y != minus_one and t != x-1) y *= y, t <<= 1; if (y != minus_one and t % 2 == 0) return false; return true; }; if (x < (1ull << 32)) { for (u64 a : { 2, 7, 61 }) if (not ok(a)) return false; } else { for (u64 a : { 2, 325, 9375, 28178, 450775, 9780504, 1795265022 }) { if (x <= a) return true; if (not ok(a)) return false; } } return true; } // <<< // >>> factor (Pollard rho) u64 rho(u64 n, u64 c) { m64::set_mod(n); assert(n > 1); const m64 cc(c); auto f = [&](m64 x) { return x*x + cc; }; m64 x = 1, y = 2, z = 1, q = 1; u64 g = 1; const u64 m = 1LL<<(__lg(n)/5); // ? for (u64 r = 1; g == 1; r <<= 1) { x = y; rep (_, r) y = f(y); for (u64 k = 0; k < r and g == 1; k += m) { z = y; rep (_, min(m, r-k)) y = f(y), q *= x-y; g = gcd(q.val(), n); } } if (g == n) do { z = f(z); g = gcd((x-z).val(), n); } while (g == 1); return g; } u64 find_prime_factor(u64 n) { assert(n > 1); if (is_prime(n)) return n; rep (_, 100) { u64 m = rho(n, rnd(n)); if (is_prime(m)) return m; n = m; } cerr << "failed" << endl; assert(false); return -1; } vector> factor(u64 n) { static vector> v; v.clear(); for (u64 i = 2; i <= 100 and i*i <= n; ++i) { if (n % i == 0) { u32 cnt = 0; do ++cnt, n /= i; while (n % i == 0); v.emplace_back(i, cnt); } } while (n > 1) { auto p = find_prime_factor(n); u32 cnt = 0; do ++cnt, n /= p; while (n % p == 0); v.emplace_back(p, cnt); } sort(v.begin(), v.end()); return v; } // <<< } using ::internal::is_prime; using ::internal::factor; // <<< int32_t main() { string s; cin >> s; int n = s.size(); int ans = 0; rep (bit, 1LL<<(n-1)) { vector a; a.eb(s[0]-'0'); rep (i, n-1) { int x = s[i+1]-'0'; if (bit>>i&1) { a.eb(x); } else { a.back() = a.back()*10 + x; } } int sum = sumof(all(a)); dump(sum); if (is_prime(sum)) ans++; } cout << ans << '\n'; }