#line 1 "a.cpp" #pragma region Macros #include using namespace std; template inline bool chmax(T &a, T b) { if(a < b) { a = b; return 1; } return 0; } template inline bool chmin(T &a, T b) { if(a > b) { a = b; return 1; } return 0; } #ifdef DEBUG template ostream &operator<<(ostream &os, const pair &p) { os << '(' << p.first << ',' << p.second << ')'; return os; } template ostream &operator<<(ostream &os, const vector &v) { os << '{'; for(int i = 0; i < (int)v.size(); i++) { if(i) { os << ','; } os << v[i]; } os << '}'; return os; } void debugg() { cerr << endl; } template void debugg(const T &x, const Args &... args) { cerr << " " << x; debugg(args...); } #define debug(...) \ cerr << __LINE__ << " [" << #__VA_ARGS__ << "]: ", debugg(__VA_ARGS__) #define dump(x) cerr << __LINE__ << " " << #x << " = " << (x) << endl #else #define debug(...) (void(0)) #define dump(x) (void(0)) #endif struct Setup { Setup() { cin.tie(0); ios::sync_with_stdio(false); cout << fixed << setprecision(15); } } __Setup; using ll = long long; #define OVERLOAD3(_1, _2, _3, name, ...) name #define ALL(v) (v).begin(), (v).end() #define RALL(v) (v).rbegin(), (v).rend() #define REP1(i, n) for(int i = 0; i < (n); i++) #define REP2(i, a, b) for(int i = (a); i < int(b); i++) #define REP(...) OVERLOAD3(__VA_ARGS__, REP2, REP1)(__VA_ARGS__) #define UNIQUE(v) sort(ALL(v)), (v).erase(unique(ALL(v)), (v).end()) const int INF = 1 << 30; const ll LLINF = 1LL << 60; constexpr int MOD = 1000000007; constexpr int MOD2 = 998244353; const int dx[4] = {1, 0, -1, 0}; const int dy[4] = {0, 1, 0, -1}; void Case(int i) { cout << "Case #" << i << ": "; } int popcount(int x) { return __builtin_popcount(x); } ll popcount(ll x) { return __builtin_popcountll(x); } #pragma endregion Macros #line 1 "/home/siro53/kyo-pro/compro_library/math/pollad-rho.hpp" struct FastFactorize { ll mul(ll a, ll b, ll c) { return (__int128)a * b % c; } ll power(ll a, ll b, ll mod) { ll res = 1; while(b) { if(b & 1) { res = mul(res, a, mod); } a = mul(a, a, mod); b >>= 1; } return res; } bool isPrime(ll n) { if(!(n & 1) && n != 2) { return false; } ll d = n - 1; int s = __builtin_ctzll(d); d >>= s; vector A; if(n <= 1000000000) { A = {2, 3, 5, 7}; } else { A = {2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37}; } for(int a : A) { ll p = power(a, d, n); int i = s; while(p != 1 && p != n - 1 && a % n && (--i)) { p = mul(p, p, n); } if(p != n - 1 && i != s) { return false; } } return true; } ll rho(ll n) { auto f = [&](ll a) { return mul(a, a, n) + 1; }; ll x = 0, y = 0, p = 2, q; int i = 1, t = 0; while((t++) % 40 || gcd(p, n) == 1) { if(x == y) { x = ++i; y = f(x); } if(q = mul(p, abs(y - x), n)) { p = q; } x = f(x); y = f(f(y)); } return gcd(p, n); } vector factor(ll n) { if(n == 1) { return {}; } if(isPrime(n)) { return {n}; } ll a = rho(n); assert(a != n && a != 1); auto l = factor(a), r = factor(n / a); l.insert(l.end(), r.begin(), r.end()); return l; } // 未verify, バグってるかも vector divisor(ll n) { vector res; auto v = factor(n); map cnt; for(const ll &a : v) cnt[a]++; sort(ALL(v)); v.erase(unique(ALL(v)), v.end()); int sz = int(v.size()); auto dfs = [&](auto &&dfs, int d, ll now) -> void { if(d == sz) { res.emplace_back(now); return; } ll nxt = now; dfs(dfs, d + 1, nxt); REP(i, cnt[v[d]]) { nxt *= v[d]; dfs(dfs, d + 1, nxt); } }; dfs(dfs, 0, 1); sort(ALL(res)); return res; } }; #line 76 "a.cpp" FastFactorize f; int main() { string s; cin >> s; int N = s.size(); ll ans = 0; REP(mask, 1 << (N-1)) { ll sum = 0; ll now = s[0] - '0'; REP(i, 1, N) { if(mask >> (i-1) & 1) { sum += now; now = s[i] - '0'; } else { now = now * 10 + (s[i] - '0'); } } sum += now; debug(sum); if(sum >= 2 and f.isPrime(sum)) ans++; } cout << ans << endl; }