// >>> 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 double ld #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) (x).begin(), (x).end() #define allR(x) (x).rbegin(), (x).rend() #define pb push_back #define eb emplace_back #define mp make_pair #define fst first #define snd second 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 using pque_max = priority_queue; template using pque_min = priority_queue, greater >; template ::value>::type> ostream& operator<<(ostream& os, T const& v) { bool f = true; for (auto const& x : v) os << (f ? "" : " ") << x, f = false; return os; } template ::value>::type> istream& operator>>(istream& is, T &v) { for (auto& x : v) 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 > y) { x = y; return true; } return false; } template constexpr bool chmax(T& x, U const& y) { if (x < y) { x = 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(v.begin(), v.end(), x)-v.begin(); } template int ubd(C const& v, T const& x) { return upper_bound(v.begin(), v.end(), x)-v.begin(); } const int dx[] = { 1,0,-1,0 }; const int dy[] = { 0,1,0,-1 }; constexpr int popcnt(ll x) { return __builtin_popcountll(x); } template Int rand(Int a, Int b) { // [a,b] static mt19937_64 mt{random_device{}()}; return uniform_int_distribution(a,b)(mt); } // <<< int n; double p,q,r; string s; using P = pair; P change(P x) { P y; y.fst = (1-r)*x.fst + r*x.snd; y.snd = r*x.fst + (1-r)*x.snd; return y; } P OR(P x, P y) { P z; z.snd = x.snd * y.snd; z.fst = 1-z.snd; return z; } P AND(P x, P y) { P z; z.fst = x.fst * y.fst; z.snd = 1-z.fst; return z; } P Random(P x, P y) { P z; z.fst = x.fst*y.fst * p + (1-x.fst*y.fst) * q; z.snd = 1-z.fst; return z; } P expr(int&); P term(int&); P fact(int&); P expr(int &i) { auto x = term(i); while (i < n && s[i] == 'o') { assert(s.substr(i,2) == "or"); i += 2; auto y = term(i); x = change(OR(x,y)); } return x; } P term(int &i) { auto x = fact(i); while (i < n && s[i] == 'a') { assert(s.substr(i,3) == "and"); i += 3; auto y = fact(i); x = change(AND(x,y)); } return x; } P fact(int &i) { if (s[i] == 'r') { assert(s.substr(i,7) == "random("); i += 7; auto x = expr(i); auto y = expr(i); assert(s[i] == ')'); i++; return Random(x,y); } else if (s[i] == '(') { i++; auto x = expr(i); assert(s[i] == ')'); i++; return x; } else if (s[i] == 'Y') { assert(s.substr(i,3) == "YES"); i += 3; return {1,0}; } else if (s[i] == 'N') { assert(s.substr(i,2) == "NO"); i += 2; return {0,1}; } else { assert(0); return {}; } } int32_t main() { cin >> n >> p >> q >> r >> s; int i = 0; auto x = expr(i); cout << int(x.fst*100) << endl; }