#include using namespace std; using lint = long long; using pint = pair; using plint = pair; struct fast_ios { fast_ios(){ cin.tie(nullptr); ios::sync_with_stdio(false); cout << fixed << setprecision(20); }; } fast_ios_; #define ALL(x) (x).begin(), (x).end() #define FOR(i, begin, end) for(int i=(begin),i##_end_=(end);i=i##_begin_;i--) #define REP(i, n) FOR(i,0,n) #define IREP(i, n) IFOR(i,0,n) template void ndarray(vector &vec, int len) { vec.resize(len); } template void ndarray(vector &vec, int len, Args... args) { vec.resize(len); for (auto &v : vec) ndarray(v, args...); } template void ndfill(V &x, const T &val) { x = val; } template void ndfill(vector &vec, const T &val) { for (auto &v : vec) ndfill(v, val); } template bool chmax(T &m, const T q) { if (m < q) {m = q; return true;} else return false; } template bool chmin(T &m, const T q) { if (m > q) {m = q; return true;} else return false; } template pair operator+(const pair &l, const pair &r) { return make_pair(l.first + r.first, l.second + r.second); } template pair operator-(const pair &l, const pair &r) { return make_pair(l.first - r.first, l.second - r.second); } template vector srtunq(vector vec) { sort(vec.begin(), vec.end()), vec.erase(unique(vec.begin(), vec.end()), vec.end()); return vec; } template istream &operator>>(istream &is, vector &vec) { for (auto &v : vec) is >> v; return is; } template ostream &operator<<(ostream &os, const vector &vec) { os << '['; for (auto v : vec) os << v << ','; os << ']'; return os; } #if __cplusplus >= 201703L template istream &operator>>(istream &is, tuple &tpl) { std::apply([&is](auto &&... args) { ((is >> args), ...);}, tpl); return is; } template ostream &operator<<(ostream &os, const tuple &tpl) { std::apply([&os](auto &&... args) { ((os << args << ','), ...);}, tpl); return os; } #endif template ostream &operator<<(ostream &os, const deque &vec) { os << "deq["; for (auto v : vec) os << v << ','; os << ']'; return os; } template ostream &operator<<(ostream &os, const set &vec) { os << '{'; for (auto v : vec) os << v << ','; os << '}'; return os; } template ostream &operator<<(ostream &os, const unordered_set &vec) { os << '{'; for (auto v : vec) os << v << ','; os << '}'; return os; } template ostream &operator<<(ostream &os, const multiset &vec) { os << '{'; for (auto v : vec) os << v << ','; os << '}'; return os; } template ostream &operator<<(ostream &os, const unordered_multiset &vec) { os << '{'; for (auto v : vec) os << v << ','; os << '}'; return os; } template ostream &operator<<(ostream &os, const pair &pa) { os << '(' << pa.first << ',' << pa.second << ')'; return os; } template ostream &operator<<(ostream &os, const map &mp) { os << '{'; for (auto v : mp) os << v.first << "=>" << v.second << ','; os << '}'; return os; } template ostream &operator<<(ostream &os, const unordered_map &mp) { os << '{'; for (auto v : mp) os << v.first << "=>" << v.second << ','; os << '}'; return os; } #ifdef HITONANODE_LOCAL #define dbg(x) cerr << #x << " = " << (x) << " (L" << __LINE__ << ") " << __FILE__ << endl #else #define dbg(x) #endif using Float = long double; Float P, Q, R; Float K(Float r) { return r * (1 - R) + (1 - r) * R; } template struct Parser { using State = string::const_iterator; T tinit; Parser() {} Parser(T tzero): tinit(tzero) {} T expr(State &begin) { T ret = term(begin); while (true) { if (*begin == '+') { begin++; ret = K(1.0l - (1.0l - ret) * (1.0l - term(begin))); } else if (*begin == '-') { begin++; ret -= term(begin); } else break; } return ret; } T term(State &begin) { T ret = factor(begin); while (true) { if (*begin == '*') { begin++; ret = K(ret * factor(begin)); } else break; } return ret; } T value(State &begin) { T ret = *begin - '0'; begin++; return ret; } T factor(State &begin) { if (*begin == '(') { begin++; T ret = expr(begin); begin++; return ret; } else if (*begin == '[') { begin++; T ret1 = expr(begin); T ret2 = expr(begin); assert(*begin == ')'); begin++; return ret1 * ret2 * P + (1.0l - ret1 * ret2) * Q; } else return value(begin); } }; string Translator(string S) { string ret; REP(i, S.length()) { if (S[i] == 'Y') { ret += '1'; i += 2; } else if (S[i] == 'N') { ret += '0'; i += 1; } else if (S[i] == 'a') { ret += '*'; i += 2; } else if (S[i] == 'o') { ret += '+'; i += 1; } else if (S[i] == 'r') { ret += '['; i += 6; } else if (S[i] == '(') { ret += '('; } else if (S[i] == ')') { ret += ')'; } else exit(8); } return ret; } int main() { int N; cin >> N; cin >> P >> Q >> R; string S; cin >> S; Parser parser(0.0); S = Translator(S); dbg(S); string::const_iterator iter = S.begin(); cout << int(parser.expr(iter) * 100) << '\n'; }