/* author: Kite_kuma created: 2020.11.13 21:49:00 */ // #ifdef LOCAL // #define _GLIBCXX_DEBUG // #endif #include using namespace std; #pragma region aliases #define rep(i, n) for(long long i = 0; i < (n); i++) #define rrep(i, n) for(long long i = (n)-1; i > -1; i--) #define Rep(i, m, n) for(long long i = (m); i < (n); i++) #define rRep(i, m, n) for(long long i = (n)-1; i >= (m); i--) #define REP(i, m, n, p) for(long long i = m; i < n; i += p) #define foa(s, v) for(auto &s : v) #define all(v) (v).begin(), (v).end() #define rall(v) (v).rbegin(), (v).rend() #define bcnt(n) __builtin_popcountll(n) #define endk endl #define ednl endl #define enld endl using ll = long long; using ld = long double; using ull = unsigned long long; using vb = vector; using vi = vector; using vvi = vector>; using vvvi = vector>>; using vll = vector; using vvll = vector; using vvvll = vector; using mll = map; using pll = pair; using qll = queue; using sll = set; using vpll = vector>; template using V = vector; template using VV = V>; template using VVV = V>>; //昇順pq(小さい方から取り出す) template using pqup = priority_queue, greater>; //降順pq(大きい方から取り出す) template using pqdn = priority_queue; #pragma endregion #pragma region constants long long const limLL = 9223372036854775807; // POW(2,63)-1 ~ 9.22e18 long long const dekai = 3e16; const long double pi = acos(-1); const char dl = '\n'; int dx[8] = {1, 0, -1, 0, 1, 1, -1, -1}; int dy[8] = {0, 1, 0, -1, -1, 1, -1, 1}; const int mod = 1000000007; // const int mod = 998244353; #pragma endregion #pragma region basic_procedure template inline bool isin(T x, T lef, T rig) { return ((lef <= x) && (x < rig)); } template inline bool chmin(T &a, T b) { if(a > b) { a = b; return true; } return false; } template inline bool chmax(T &a, T b) { if(a < b) { a = b; return true; } return false; } void Yes(bool f = 1) { cout << (f ? "Yes" : "No") << "\n"; } void No() { cout << "No\n"; } void YES(bool f = 1) { cout << (f ? "YES" : "NO") << "\n"; } void NO() { cout << "NO\n"; } template void drop(T answer) { cout << answer << "\n"; exit(0); } void err() { cout << -1 << "\n"; exit(0); } template void vout(vector &v, bool tate = 0) { if(v.size() > 0) { for(auto it = v.begin(); it < v.end(); it++) { cout << *it; if(it != v.end() - 1) { if(tate) cout << endl; else cout << " "; } } } cout << endl; } template void add(vector &v, T val) { //ベクトルの各要素に加算 for(auto &a : v) a += val; return; } // vectorの中身を数える map<要素,個数>を返す template map cntv(vector v) { map m; for(auto &g : v) { if(m.count(g)) m[g]++; else m[g] = 1; } return m; } //配列圧縮 //{1,36,1,3,8,-2,-92}を //{2, 5,2,3,4, 1, 0}にする template vector press(vector &v) { int n = v.size(); vector w(n); map m; for(T &p : v) m[p] = 0; int i = 0; for(auto &p : m) { p.second = i; i++; } for(int i = 0; i < n; i++) w.at(i) = m[v.at(i)]; return w; } // 切り上げ除算 template T dup(T a, T b) { assert(b != 0); T x = abs(a); T y = abs(b); T z = (x + y - 1) / y; if((a < 0 && b > 0) || (a > 0 && b < 0)) return -z; else if(a == 0) return 0; else return z; } long long POW(long long a, long long n) { long long res = 1; while(n > 0) { if(n & 1) res = res * a; a = a * a; n >>= 1; } return res; } template T greatest_lower_multiple(T x, T d) { if(d == 0) return 0; if(d < 0) d *= -1; T y = x % d; if(y < 0) y += d; return x - y; } template T least_upper_multiple(T x, T d) { return -greatest_lower_multiple(-x, d); } long long modpow(long long a, long long n, long long mod) { // a^n mod assert(n >= 0); if(mod == 1) return 0LL; long long res = 1; while(n > 0) { if(n & 1) res = res * a % mod; a = a * a % mod; n >>= 1; } return res; } // a * x % mod == __gcd(a,mod)なるxを返す // a が modの倍数でないことが条件 long long modinv(long long a, long long mod) { long long b = mod, u = 1, v = 0; while(b) { long long t = a / b; a -= t * b; swap(a, b); u -= t * v; swap(u, v); } u %= mod; if(u < 0) u += mod; return u; } vvll comb(100, vll(100, -1)); long long com(long long n, long long k) { //普通の二項計数(overflowに注意) assert(n < 100 && k < 100); if(n < k || k < 0 || n < 0) return 0; if(comb[n][k] != -1) return comb[n][k]; ll res; if(n - k < k) res = com(n, n - k); else if(k == 0) res = 1; else res = com(n - 1, k - 1) + com(n - 1, k); comb[n][k] = res; return res; } // nCk modを求める const int MAX = 5100000; // この値は求める二項計数の値に応じて変える // MAX=3*10^7のとき1900msほど、ほぼ比例 // MAX=5*10^6程度ならそれほど気にしなくてよい(300ms程) long long fac[MAX], finv[MAX], inv[MAX]; void cominit() { // テーブルを作る前処理 fac[0] = fac[1] = 1; finv[0] = finv[1] = 1; inv[1] = 1; for(int i = 2; i < MAX; i++) { fac[i] = fac[i - 1] * i % mod; inv[i] = mod - inv[mod % i] * (mod / i) % mod; finv[i] = finv[i - 1] * inv[i] % mod; } } long long commod(long long n, long long k) { // 二項係数 if(n < k) return 0; if(n < 0 || k < 0) return 0; return fac[n] * (finv[k] * finv[n - k] % mod) % mod; } long long pmod(long long n, long long k) { // 順列 if(n < k) return 0; if(n < 0 || k < 0) return 0; return fac[n] * finv[n - k] % mod; } // n個の区別しないボールを区別するk個の箱に入れる方法の総数 long long hmod(long long n, long long k) { // 重複組み合わせ return commod(n + k - 1, n); } #pragma endregion #pragma region input #define VEC(type, name, size) \ vector name(size); \ INPUT(name) #define VVEC(type, name, h, w) \ vector> name(h, vector(w)); \ INPUT(name) #define INT(...) \ int __VA_ARGS__; \ INPUT(__VA_ARGS__) #define LL(...) \ long long __VA_ARGS__; \ INPUT(__VA_ARGS__) #define STR(...) \ string __VA_ARGS__; \ INPUT(__VA_ARGS__) #define CHAR(...) \ char __VA_ARGS__; \ INPUT(__VA_ARGS__) #define DOUBLE(...) \ double __VA_ARGS__; \ INPUT(__VA_ARGS__) #define LD(...) \ long double __VA_ARGS__; \ INPUT(__VA_ARGS__) template void scan(T &a) { cin >> a; } template void scan(vector &a) { for(auto &i : a) scan(i); } template void scan(pair &p) { scan(p.first); scan(p.second); } void INPUT() {} template void INPUT(Head &head, Tail &... tail) { scan(head); INPUT(tail...); } template inline void print(T x) { cout << x << '\n'; } template istream &operator>>(istream &is, pair &p) { is >> p.first >> p.second; return is; } #pragma endregion #pragma region debug #pragma region output template ostream &operator<<(ostream &os, const pair &p) { os << p.first << " " << p.second; return os; } template ostream &operator<<(ostream &os, const vector &v) { for(int i = 0; i < (int)v.size(); i++) { if(i) os << " "; os << v[i]; } return os; } #pragma endregion #pragma region view template void view(const T e) { std::cerr << e; } template void view(const std::pair &p) { std::cerr << "("; view(p.first); cerr << ", "; view(p.second); cerr << ")"; } template void view(const std::set &s) { if(s.empty()) { cerr << "{ }"; return; } std::cerr << "{ "; for(auto &t : s) { view(t); std::cerr << ", "; } std::cerr << "\b\b }"; } template void view(const std::vector &v) { if(v.empty()) { cerr << "{ }"; return; } std::cerr << "{ "; for(const auto &e : v) { view(e); std::cerr << ", "; } std::cerr << "\b\b }"; } template void view(const std::vector> &vv) { std::cerr << "{\n"; for(const auto &v : vv) { std::cerr << "\t"; view(v); std::cerr << "\n"; } std::cerr << "}"; } template void view(const std::vector> &v) { std::cerr << "{\n"; for(const auto &c : v) { std::cerr << "\t("; view(c.first); cerr << ", "; view(c.second); cerr << ")\n"; } std::cerr << "}"; } template void view(const std::map &m) { std::cerr << "{\n"; for(const auto &t : m) { std::cerr << "\t["; view(t.first); cerr << "] : "; view(t.second); cerr << "\n"; } std::cerr << "}"; } #pragma endregion // when debugging : g++ foo.cpp -DLOCAL #ifdef LOCAL void debug_out() {} template void debug_out(Head H, Tail... T) { view(H); cerr << ", "; debug_out(T...); } #define debug(...) \ do { \ cerr << __LINE__ << " [" << #__VA_ARGS__ << "] : ["; \ debug_out(__VA_ARGS__); \ cerr << "\b\b]\n"; \ } while(0) #define dump(x) \ do { \ cerr << __LINE__ << " " << #x << " : "; \ view(x); \ cerr << "\n"; \ } while(0) #else #define debug(...) (void(0)) #define dump(x) (void(0)) #endif #pragma endregion #pragma region mincostflow namespace atcoder { template struct mcf_graph { public: mcf_graph() {} mcf_graph(int n) : _n(n), g(n) {} int add_edge(int from, int to, Cap cap, Cost cost) { assert(0 <= from && from < _n); assert(0 <= to && to < _n); int m = int(pos.size()); pos.push_back({from, int(g[from].size())}); g[from].push_back(_edge{to, int(g[to].size()), cap, cost}); g[to].push_back(_edge{from, int(g[from].size()) - 1, 0, -cost}); return m; } struct edge { int from, to; Cap cap, flow; Cost cost; }; edge get_edge(int i) { int m = int(pos.size()); assert(0 <= i && i < m); auto _e = g[pos[i].first][pos[i].second]; auto _re = g[_e.to][_e.rev]; return edge{ pos[i].first, _e.to, _e.cap + _re.cap, _re.cap, _e.cost, }; } std::vector edges() { int m = int(pos.size()); std::vector result(m); for(int i = 0; i < m; i++) { result[i] = get_edge(i); } return result; } std::pair flow(int s, int t) { return flow(s, t, std::numeric_limits::max()); } std::pair flow(int s, int t, Cap flow_limit) { return slope(s, t, flow_limit).back(); } std::vector> slope(int s, int t) { return slope(s, t, std::numeric_limits::max()); } std::vector> slope(int s, int t, Cap flow_limit) { assert(0 <= s && s < _n); assert(0 <= t && t < _n); assert(s != t); // variants (C = maxcost): // -(n-1)C <= dual[s] <= dual[i] <= dual[t] = 0 // reduced cost (= e.cost + dual[e.from] - dual[e.to]) >= 0 for all edge std::vector dual(_n, 0), dist(_n); std::vector pv(_n), pe(_n); std::vector vis(_n); auto dual_ref = [&]() { std::fill(dist.begin(), dist.end(), std::numeric_limits::max()); std::fill(pv.begin(), pv.end(), -1); std::fill(pe.begin(), pe.end(), -1); std::fill(vis.begin(), vis.end(), false); struct Q { Cost key; int to; bool operator<(Q r) const { return key > r.key; } }; std::priority_queue que; dist[s] = 0; que.push(Q{0, s}); while(!que.empty()) { int v = que.top().to; que.pop(); if(vis[v]) continue; vis[v] = true; if(v == t) break; // dist[v] = shortest(s, v) + dual[s] - dual[v] // dist[v] >= 0 (all reduced cost are positive) // dist[v] <= (n-1)C for(int i = 0; i < int(g[v].size()); i++) { auto e = g[v][i]; if(vis[e.to] || !e.cap) continue; // |-dual[e.to] + dual[v]| <= (n-1)C // cost <= C - -(n-1)C + 0 = nC Cost cost = e.cost - dual[e.to] + dual[v]; if(dist[e.to] - dist[v] > cost) { dist[e.to] = dist[v] + cost; pv[e.to] = v; pe[e.to] = i; que.push(Q{dist[e.to], e.to}); } } } if(!vis[t]) { return false; } for(int v = 0; v < _n; v++) { if(!vis[v]) continue; // dual[v] = dual[v] - dist[t] + dist[v] // = dual[v] - (shortest(s, t) + dual[s] - dual[t]) + (shortest(s, v) + dual[s] - dual[v]) // = - shortest(s, t) + dual[t] + shortest(s, v) // = shortest(s, v) - shortest(s, t) >= 0 - (n-1)C dual[v] -= dist[t] - dist[v]; } return true; }; Cap flow = 0; Cost cost = 0, prev_cost = -1; std::vector> result; result.push_back({flow, cost}); while(flow < flow_limit) { if(!dual_ref()) break; Cap c = flow_limit - flow; for(int v = t; v != s; v = pv[v]) { c = std::min(c, g[pv[v]][pe[v]].cap); } for(int v = t; v != s; v = pv[v]) { auto &e = g[pv[v]][pe[v]]; e.cap -= c; g[v][e.rev].cap += c; } Cost d = -dual[s]; flow += c; cost += c * d; if(prev_cost == d) { result.pop_back(); } result.push_back({flow, cost}); prev_cost = cost; } return result; } private: int _n; struct _edge { int to, rev; Cap cap; Cost cost; }; std::vector> pos; std::vector> g; }; } // namespace atcoder #pragma endregion int main() { ios::sync_with_stdio(false); cin.tie(nullptr); cout << fixed << setprecision(15); srand((unsigned)time(NULL)); INT(n); STR(st); vll val(n); rep(i, n) cin >> val[i]; int v = 0; vi in(n); vi out(n); rep(i, n) { in[i] = v++; } rep(i, n) out[i] = v++; ll big = 1e9; int s = v++; int t = v++; atcoder::mcf_graph g(v); string yuki = "yuki"; rep(i, n) { g.add_edge(in[i], out[i], 1, big - val[i]); } rep(i, n) if(st[i] == 'y') g.add_edge(s, in[i], 1, 0); rrep(i, n) if(st[i] == 'i') g.add_edge(out[i], t, 1, 0); rep(i, n) { // Rep(j, i + 1, n) { // if(st[i] == st[j]) { // g.add_edge(out[i], in[j], n, 0); // break; // } // } int l = 0; if(st[i] == 'i') continue; if(st[i] == 'y') l = 0; if(st[i] == 'u') l = 1; if(st[i] == 'k') l = 2; Rep(j, i + 1, n) { if(st[j] == yuki[l + 1]) { g.add_edge(out[i], in[j], 1, 0); } } } ll ans = 0; for(int i = 1; i * 4 <= n; i++) { auto res = g.flow(s, t, 1); dump(res); if(res.first == 0) break; // foa(e, g.edges()) { // if(e.flow) { // debug(e.from, e.to); // } // } ans += -res.second + big * 1 * 4; dump(ans); } drop(ans); return 0; }