#include namespace { #pragma GCC diagnostic ignored "-Wunused-function" #include #pragma GCC diagnostic warning "-Wunused-function" using namespace std; using namespace atcoder; #define rep(i,n) for(int i = 0; i < (int)(n); i++) #define rrep(i,n) for(int i = (int)(n) - 1; i >= 0; i--) #define all(x) begin(x), end(x) #define rall(x) rbegin(x), rend(x) template bool chmax(T& a, const T& b) { if (a < b) { a = b; return true; } else return false; } template bool chmin(T& a, const T& b) { if (b < a) { a = b; return true; } else return false; } using ll = long long; using P = pair; using VI = vector; using VVI = vector; using VL = vector; using VVL = vector; } int main() { ios::sync_with_stdio(false); cin.tie(0); int n; string s; ll r, m; cin >> n >> s >> r >> m; if (n % 2) { cout << -1 << '\n'; return 0; } VI init(2 * n + 1); rep(i, n) { init[i+1] = init[i] + (s[i] == '(' ? 1 : -1); } rep(i, n) { init[n+i+1] = init[n+i] + (s[i] == '(' ? 1 : -1); } constexpr int INF = 1001001001; segtree seg(init); ll ans = 1e18; rrep(l, n + 1) { int mn = seg.prod(l, l + n + 1); int d = init[l] - mn; int cnt = (d + 1) / 2; ll cost = cnt * m; int last = init[l + n] + 2 * cnt; cost += (last - init[l]) / 2 * m; cost += (n - l) * r; chmin(ans, cost); } cout << ans << '\n'; }