/* Problem URL: https://codeforces.com/gym/104020/problem/F */ #include using namespace std; #define V vector #define rmin(a, b) a = min(a, b) #define rmax(a, b) a = max(a, b) #define rep(i, lim) for (size_t i = 0; i < (lim); i++) #define nrep(i, s, lim) for (size_t i = s; i < (lim); i++) #define repv(i, v) for (auto &i : (v)) #define fillv(v) for (auto &itr_ : (v)) { cin >> itr_; } #define sortv(v) sort(v.begin(), v.end()) #define all(v) (v).begin(), (v).end() using vi = vector; using vvi = vector; using vvvi = vector; using vvvvi = vector; using ll = long long; using vl = vector; using vvl = vector; using vvvl = vector; using vvvvl = vector; template auto operator<<(ostream &os, const vector &vec)->ostream& { os << vec[0]; for (size_t i = 1; i < vec.size(); i++) { os << ' ' << vec[i]; } os << '\n'; return os; } template auto operator>>(istream &is, vector &vec)->istream& { for (auto &i : vec) { is >> i; } return is; } template auto operator<<(ostream &os, const vector> &vec)->ostream& { for (auto &i : vec) { os << i[0]; for (size_t j = 1; j < i.size(); j++) { os << ' ' << i[j]; } os << '\n'; } return os; } template auto operator>>(istream &is, vector> &vec)->istream& { for (auto &i : vec) { for (auto &j : i) { is >> j; } } return is; } #define double long double int main() { ios::sync_with_stdio(false); cin.tie(nullptr); string a, b; cin >> a >> b; double ang1; double ang2; map var; var["N"] = 0; var["E"] = 90; var["S"] = 180; var["W"] = 270; var["NE"] = 45; var["SE"] = 135; var["SW"] = 225; var["NW"] = 315; if (a.size() == 1) { ang1 = var[a]; } else { ang1 = var[a.substr(a.size() - 2)]; map mul; mul['W'] = 1; mul['E'] = 1; mul['S'] = 1; mul['N'] = 1; string tmp = a.substr(a.size() - 2); if (tmp == "NE") { mul['N'] = -1; } else if (tmp == "SE") { mul['E'] = -1; } else if (tmp == "SW") { mul['S'] = -1; } else { mul['W'] = -1; } a.pop_back(); a.pop_back(); double now = 45 / (double)2; while (!a.empty()) { ang1 += now * mul[a.back()]; a.pop_back(); now /= 2; } } if (b.size() == 1) { ang2 = var[b]; } else { ang2 = var[b.substr(b.size() - 2)]; map mul; mul['W'] = 1; mul['E'] = 1; mul['S'] = 1; mul['N'] = 1; string tmp = b.substr(b.size() - 2); if (tmp == "NE") { mul['N'] = -1; } else if (tmp == "SE") { mul['E'] = -1; } else if (tmp == "SW") { mul['S'] = -1; } else { mul['W'] = -1; } b.pop_back(); b.pop_back(); double now = 45 / (double)2; while (!b.empty()) { ang2 += now * mul[b.back()]; b.pop_back(); now /= 2; } } if (ang1 < ang2) { swap(ang1, ang2); } cout << fixed << setprecision(20) << min(ang1 - ang2, (ang2 - ang1) + 360) << '\n'; }