#include using namespace std; #define overload4(_1, _2, _3, _4, name, ...) name #define rep1(n) for(int i = 0; i < (int)(n); ++i) #define rep2(i, n) for(int i = 0; i < (int)(n); ++i) #define rep3(i, a, b) for(int i = (a); i < (int)(b); ++i) #define rep4(i, a, b, c) for(int i = (a); i < (int)(b); i += (c)) #define rep(...) overload4(__VA_ARGS__, rep4, rep3, rep2, rep1)(__VA_ARGS__) #define rrep(i,n) for(int i = (int)(n) - 1; i >= 0; --i) #define ALL(a) (a).begin(), (a).end() #define Sort(a) (sort((a).begin(), (a).end())) #define RSort(a) (sort((a).rbegin(), (a).rend())) #define UNIQUE(a) (a.erase(unique((a).begin(), (a).end()), (a).end())) typedef long long int ll; typedef unsigned long long ul; typedef long double ld; typedef vector vi; typedef vector vll; typedef vector vc; typedef vector vst; typedef vector vd; typedef vector vld; typedef pair P; template long long sum(const T &a){ return accumulate(a.begin(), a.end(), 0LL); } template auto min(const T &a){ return *min_element(a.begin(), a.end()); } template auto max(const T &a){ return *max_element(a.begin(), a.end()); } const long long MINF = 0x7fffffffffff; const long long INF = 0x1fffffffffffffff; const long long MOD = 998244353; const long double EPS = 1e-9; const long double PI = acos(-1); 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; } template istream &operator>>(istream &is, pair &p){ is >> p.first >> p.second; return is; } template ostream &operator<<(ostream &os, const pair &p){ os << "(" << p.first << ", " << p.second << ")"; return os; } template istream &operator>>(istream &is, vector &v){ for(T &in : v) is >> in; return is; } template ostream &operator<<(ostream &os, const vector &v){ for(int i = 0; i < (int) v.size(); ++i){ os << v[i] << (i + 1 != (int) v.size() ? " " : ""); } return os; } template ostream &operator<<(ostream &os, const map &mp){ for(auto &[key, val] : mp){ os << key << ":" << val << " "; } return os; } template ostream &operator<<(ostream &os, const set &st){ auto itr = st.begin(); for(int i = 0; i < (int) st.size(); ++i){ os << *itr << (i + 1 != (int) st.size() ? " " : ""); itr++; } return os; } template ostream &operator<<(ostream &os, const multiset &st){ auto itr = st.begin(); for(int i = 0; i < (int) st.size(); ++i){ os << *itr << (i + 1 != (int) st.size() ? " " : ""); itr++; } return os; } template ostream &operator<<(ostream &os, queue q){ while(q.size()){ os << q.front() << " "; q.pop(); } return os; } template ostream &operator<<(ostream &os, deque q){ while(q.size()){ os << q.front() << " "; q.pop_front(); } return os; } template ostream &operator<<(ostream &os, stack st){ while(st.size()){ os << st.top() << " "; st.pop(); } return os; } template ostream &operator<<(ostream &os, priority_queue pq){ while(pq.size()){ os << pq.top() << " "; pq.pop(); } return os; } template long long binary_search(long long ok, long long ng, T check){ while(abs(ok - ng) > 1){ long long mid = (ok + ng) / 2; if(check(mid)) ok = mid; else ng = mid; } return ok; } template long double binary_search_real(long double ok, long double ng, T check, int iter = 100){ for(int i = 0; i < iter; ++i){ long double mid = (ok + ng) / 2; if(check(mid)) ok = mid; else ng = mid; } return ok; } template long long trisum(T a, T b){ long long res = ((b - a + 1) * (a + b)) / 2; return res; } template T intpow(T x, int n){ T ret = 1; while(n > 0) { if(n & 1) (ret *= x); (x *= x); n >>= 1; } return ret; } template T getReminder(T a, T b){ if(b == 0) return -1; if(a >= 0 && b > 0){ return a % b; } else if(a < 0 && b > 0){ return ((a % b) + b) % b; } else if(a >= 0 && b < 0){ return a % b; } else{ return (abs(b) - abs(a % b)) % b; } } template inline T vin(T &vec, U n) { vec.resize(n); for(int i = 0; i < (int) n; ++i) cin >> vec[i]; return vec; } template inline void vout(T vec, string s = "\n"){ for(auto x : vec) cout << x << s; } template void in(T&... a){ (cin >> ... >> a); } void out(){ cout << '\n'; } template void out(const T &a, const Ts&... b){ cout << a; (cout << ... << (cout << ' ', b)); cout << '\n'; } template void inGraph(vector> &G, U n, U m, bool directed = false){ G.resize(n); for(int i = 0; i < m; ++i){ int a, b; cin >> a >> b; a--, b--; G[a].push_back(b); if(!directed) G[b].push_back(a); } } template struct SegTree{ int _n, n; std::vector dat; SegTree(int _n) : _n(_n) { int x = 1; while(_n > x){ x *= 2; } n = x; dat.resize(n * 2); for(int i = 0; i < n * 2; ++i){ dat[i] = e(); } } SegTree(std::vector &v) : _n((int) v.size()) { int x = 1; while((int) v.size() > x){ x *= 2; } n = x; dat.resize(n * 2); for(int i = 0; i < n; ++i){ set(i, (i < (int) v.size() ? v[i] : e())); } build(); } private: void set(int i, const T &x){ dat[i + n] = x; } void build(){ for(int k = n - 1; k >= 1; k--) dat[k] = op(dat[k * 2], dat[k * 2 + 1]); } public: T get(int i) const { assert(0 <= i && i < n); return dat[i + n]; } void update(int i, const T &x){ assert(0 <= i && i < n); i += n; dat[i] = x; while(i > 0){ i >>= 1; // parent dat[i] = op(dat[i * 2], dat[i * 2 + 1]); } } T query(int a, int b){ assert(0 <= a && a <= b && b <= n); T vl = e(); T vr = e(); int l = a + n; int r = b + n; while(l < r){ if(l & 1) vl = op(vl, dat[l++]); if(r & 1) vr = op(dat[--r], vr); l >>= 1; r >>= 1; } return op(vl, vr); } template int max_right(int l, F f) const { assert(0 <= l && l <= _n); assert(f(e())); if(l == _n) return _n; l += n; T sm = e(); do{ while(l % 2 == 0) l >>= 1; if(!f(op(sm, dat[l]))){ while(l < n){ l = (2 * l); if(f(op(sm, dat[l]))){ sm = op(sm, dat[l]); l++; } } return l - n; } sm = op(sm, dat[l]); l++; }while((l & -l) != l); return _n; } template int min_left(int r, F f) const { assert(0 <= r && r <= _n); assert(f(e())); if(r == 0) return 0; r += n; T sm = e(); do{ r--; while(r > 1 && (r % 2)) r >>= 1; if(!f(op(dat[r], sm))){ while(r < n){ r = (2 * r + 1); if(f(op(dat[r], sm))){ sm = op(dat[r], sm); r--; } } return r + 1 - n; } sm = op(dat[r], sm); }while((r & -r) != r); return 0; } }; P op(P a, P b){ return {min(a.first, a.second + b.first), a.second + b.second}; } P e(){ return {0, 0}; } ll T; void input(){ in(T); } void solve(){ ll n; in(n); string s; in(s); ll r, m; in(r, m); if(n % 2){ out(-1); return; } s += s; SegTree seg(n * 2); rep(i, n * 2){ if(s[i] == '('){ seg.update(i, {0, 1}); }else{ seg.update(i, {-1, -1}); } } ll ans = INF; for(int i = n; i > 0; i--){ ll cost = r * (n - i); auto [csmin, cs] = seg.query(i, i + n); ll d = (-csmin + 1) / 2; cost += d * m; cs += d * 2; cost += m * (abs(cs) / 2); // ll cs = 0; // rep(j, i, i + n){ // if(s[j] == '('){ // cs++; // }else{ // if(cs == 0){ // cs++; // cost += m; // }else{ // cs--; // } // } // } // cost += m * cs / 2; chmin(ans, cost); } out(ans); } int main(){ ios::sync_with_stdio(false); cin.tie(nullptr); cout << fixed << setprecision(20); T = 1; // input(); while(T--) solve(); }