#include using namespace std; using ll = long long; const ll D_SI = 125; struct lll : vector { static const ll BASE = 100000000; static const ll BASE_D = 8; ll sign; lll(ll n = 0): vector(D_SI, 0), sign(1) { if(n < 0) { sign = -1, n = -n; } (*this)[0] = n; this->normalize(); } lll(ll size, ll n): vector(size, n), sign(1) {} lll &normalize() { ll c = 0; bool e = false; for(ll i = 0;; ++i) { if(i >= this->size()) { this->push_back(0); } if((*this)[i] < 0 && i + 1 >= this->size()) { this->push_back(0); } while((*this)[i] < 0) { (*this)[i + 1] -= 1; (*this)[i] += BASE; } ll a = (*this)[i] + c; (*this)[i] = a % BASE; if((*this)[i]) { e = 1; } c = a / BASE; if(c == 0 && i == this->size() - 1) { break; } } if(!e) { sign = 1; } return (*this); } friend lll abs(const lll &x) { lll z = x; if(z.sign == -1) { z.sign = 1; } return z; } lll operator-() const { lll r = *this; bool z = 1; for(ll i = 0; i < (ll)this->size(); i++) { if(r[i] != 0) { z = 0; break; } } if(!z) { r.sign = -r.sign; } return r; } lll &operator+=(const lll &r) { while(size() < r.size()) this->emplace_back(0); if(sign == r.sign) { for(ll i = 0; i < (ll)r.size(); i++) { (*this)[i] += r[i]; } } else { if(sign == 1 && abs(*this) < abs(r)) { sign = -1; } else if(sign == -1 && abs(*this) <= abs(r)) { sign = 1; } if(abs(*this) >= abs(r)) { for(ll i = 0; i < (ll)r.size(); i++) { (*this)[i] -= r[i]; } } else { for(ll i = 0; i < (ll)size(); i++) { (*this)[i] = -(*this)[i]; } for(ll i = 0; i < (ll)r.size(); i++) { (*this)[i] += r[i]; } } } return this->normalize(); } lll &operator-=(const lll &r) { while(size() < r.size()) { this->emplace_back(0); } if(sign == -r.sign) { for(ll i = 0; i < (ll)r.size(); i++) { (*this)[i] += r[i]; } } else { if(sign == 1 && abs(*this) < abs(r)) { sign = -1; } else if(sign == -1 && abs(*this) <= abs(r)) { sign = 1; } if(abs(*this) >= abs(r)) { for(ll i = 0; i < (ll)r.size(); i++) { (*this)[i] -= r[i]; } } else { for(ll i = 0; i < (ll)size(); i++) { (*this)[i] = -(*this)[i]; } for(ll i = 0; i < (ll)r.size(); i++) { (*this)[i] += r[i]; } } } return this->normalize(); } lll &operator*=(ll r) { if((sign == 1 && r >= 0) || (sign == -1 && r < 0)) { sign = 1; } else { sign = -1; } if(r < 0) { r = -r; } for(ll i = 0; i < (ll)size(); i++) { (*this)[i] *= r; } return this->normalize(); } lll &operator*=(const lll &r) { ll tx = size() - 1, ty = r.size() - 1; for(tx = size() - 1; tx >= 0; --tx) { if((*this)[tx] > 0) { break; } } for(ty = r.size() - 1; ty >= 0; --ty) { if(r[ty] > 0) { break; } } lll res(0); res.resize(tx + ty + 2); if(sign == r.sign) { res.sign = 1; } else { res.sign = -1; } for(ll i = 0; i <= tx; i++) { for(ll j = 0; j <= ty && i + j < res.size() - 1; j++) { ll val = (*this)[i] * r[j] + res[i + j]; res[i + j + 1] += val / lll::BASE; res[i + j] = val % lll::BASE; } } return (*this) = res.normalize(); } friend lll POW(const lll &a, ll n) { lll r(1), b = a; while(n > 0) { if(n & 1) { r = r * b; } b = b * b; n >>= 1; } return r; } lll operator+(const lll &r) const { return lll(*this) += r; } lll operator-(const lll &r) const { return lll(*this) -= r; } lll operator*(ll r) const { return lll(*this) *= r; } lll operator*(const lll &r) const { return lll(*this) *= r; } lll &operator/=(ll r) { if(r < 0) { sign *= -1, r = -r; } ll c = 0, t = 0; for(ll i = size() - 1; i >= 0; i--) { t = lll::BASE * c + (*this)[i]; (*this)[i] = t / r; c = t % r; } this->normalize(); return (*this); } ll operator%=(ll r) { if(r < 0) { sign *= -1, r = -r; } ll c = 0, t = 0; for(ll i = size() - 1; i >= 0; i--) { t = lll::BASE * c + (*this)[i]; (*this)[i] = t / r; c = t % r; } return c; } lll operator/(ll r) const { return lll(*this) /= r; } ll operator%(ll r) const { return lll(*this) %= r; } friend pair divmod(const lll &a, const lll &r) { lll zero = 0, s = 0, t = 0; if(abs(a) < abs(r)) { return {zero, a}; } lll ar = abs(r); s.resize(a.size()), t.resize(r.size()); ll tx = a.size() - 1; for(; tx >= 0; --tx) { if(a[tx] > 0) { break; } } for(ll i = tx; i >= 0; i--) { t = t * lll::BASE + a[i]; ll lo = 0, hi = lll::BASE; if(t >= ar) { while(hi - lo > 1) { ll mid = (hi + lo) / 2; if(ar * mid > t) hi = mid; else lo = mid; } t -= ar * lo; } s[i] = lo; } if(a.sign == r.sign) { s.sign = 1, t.sign = 1; } else { s.sign = -1, t.sign = 1; } return make_pair(s.normalize(), t.normalize()); } lll operator/(const lll &r) const { return divmod((*this), r).first; } lll operator%(const lll &r) const { return divmod((*this), r).second; } lll &operator/=(const lll &r) { return (*this) = (*this) / r; } lll &operator%=(const lll &r) { return (*this) = (*this) % r; } friend bool operator<(const lll &x, const lll &y) { if(x.sign < y.sign) { return true; } else if(x.sign > y.sign) { return false; } else { ll tx = x.size() - 1, ty = y.size() - 1; for(tx = x.size() - 1; tx >= 0; --tx) { if(x[tx] > 0) { break; } } for(ty = y.size() - 1; ty >= 0; --ty) { if(y[ty] > 0) { break; } } if(tx < ty) { return true; } else if(tx > ty) { return false; } else if(x.sign == 1) { for(ll i = tx; i >= 0; i--) { if(x[i] != y[i]) { return x[i] < y[i]; } } return false; } else { for(ll i = tx; i >= 0; i--) { if(x[i] != y[i]) { return x[i] > y[i]; } } return false; } } } friend bool operator>(const lll &x, const lll &y) { return y < x; } friend bool operator<=(const lll &x, const lll &y) { return !(x > y); } friend bool operator>=(const lll &x, const lll &y) { return !(x < y); } friend bool operator==(const lll &x, const lll &y) { if(x.sign != y.sign) { return 0; } ll tx = (ll)x.size() - 1, ty = (ll)y.size() - 1; for(tx = x.size() - 1; tx >= 0; --tx) { if(x[tx] > 0) { break; } } for(ty = y.size() - 1; ty >= 0; --ty) { if(y[ty] > 0) { break; } } if(tx != ty) { return false; } for(ll i = tx; i >= 0; i--) { if(x[i] != y[i]) { return false; } } return true; } friend bool operator!=(const lll &x, const lll &y) { return !(x == y); } }; lll tolll(const string &is) { string s = is; if(s[0] == '-') { s = s.substr(1); } while(s.size() % lll::BASE_D != 0) s = "0" + s; ll N = s.size(); lll res(N / lll::BASE_D, 0); for(ll i = 0; i < (ll)s.size(); i++) { res[(N - i - 1) / lll::BASE_D] *= 10; res[(N - i - 1) / lll::BASE_D] += s[i] - '0'; } if(is[0] == '-') { res.sign = -1; } return res; } string tostr(const lll &r) { stringstream ss; if(r.sign == -1) { ss << '-'; } ll d = r.size() - 1; for(; d >= 0; --d) { if(r[d] > 0) { break; } } if(d == -1) { ss << 0; } else { ss << r[d]; } for(ll i = d - 1; i >= 0; i--) { ss.width(lll::BASE_D); ss.fill('0'); ss << r[i]; } return ss.str(); } istream &operator>>(istream &is, lll &x) { string s; is >> s; x = tolll(s); return is; } ostream &operator<<(ostream &os, const lll &x) { if(x.sign == -1) { os << '-'; } ll d = x.size() - 1; for(d = x.size() - 1; d >= 0; --d) { if(x[d] > 0) { break; } } if(d == -1) { os << 0; } else { os << x[d]; } for(ll i = d - 1; i >= 0; i--) { os.width(lll::BASE_D); os.fill('0'); os << x[i]; } return os; } int main() { ios::sync_with_stdio(false); cin.tie(nullptr); string S; cin >> S; ranges::sort(S); ll g = 0; for(ll i = 0; i < (int)S.size() - 1; i++) { g = gcd(g, 9 * (S[i + 1] - S[i])); } cout << gcd(tolll(S) % 2520, g) << "\n"; }