#include using namespace std; using ll = long long; using ld = long double; using ull = unsigned long long; using uint = unsigned; using pcc = pair; using pii = pair; using pll = pair; using pdd = pair; using tuplis = array; template using pq = priority_queue, greater>; const ll LINF=0x1fffffffffffffff; const ll MINF=0x7fffffffffff; const int INF=0x3fffffff; const int MOD=1000000007; const int MODD=998244353; const ld DINF=numeric_limits::infinity(); const ld EPS=1e-9; const ld PI=3.1415926535897932; const ll dx[] = {0, 1, 0, -1, 1, -1, 1, -1}; const ll dy[] = {1, 0, -1, 0, 1, 1, -1, -1}; #define overload4(_1,_2,_3,_4,name,...) name #define overload3(_1,_2,_3,name,...) name #define rep1(n) for(ll i=0;i(a);) #define rrep4(i,a,b,c) for(ll i=(a)+((b)-(a)-1)/(c)*(c);i>=(a);i-=c) #define rrep(...) overload4(__VA_ARGS__,rrep4,rrep3,rrep2,rrep1)(__VA_ARGS__) #define each1(i,a) for(auto&&i:a) #define each2(x,y,a) for(auto&&[x,y]:a) #define each3(x,y,z,a) for(auto&&[x,y,z]:a) #define each(...) overload4(__VA_ARGS__,each3,each2,each1)(__VA_ARGS__) #define all1(i) begin(i),end(i) #define all2(i,a) begin(i),begin(i)+a #define all3(i,a,b) begin(i)+a,begin(i)+b #define all(...) overload3(__VA_ARGS__,all3,all2,all1)(__VA_ARGS__) #define rall1(i) (i).rbegin(),(i).rend() #define rall2(i,k) (i).rbegin(),(i).rbegin()+k #define rall3(i,a,b) (i).rbegin()+a,(i).rbegin()+b #define rall(...) overload3(__VA_ARGS__,rall3,rall2,rall1)(__VA_ARGS__) #define sum(...) accumulate(all(__VA_ARGS__),0LL) #define dsum(...) accumulate(all(__VA_ARGS__),0.0L) #define Msum(...) accumulate(all(__VA_ARGS__),0_M) #define elif else if #define unless(a) if(!(a)) #define INT(...) int __VA_ARGS__;in(__VA_ARGS__) #define LL(...) ll __VA_ARGS__;in(__VA_ARGS__) #define ULL(...) ull __VA_ARGS__;in(__VA_ARGS__) #define STR(...) string __VA_ARGS__;in(__VA_ARGS__) #define CHR(...) char __VA_ARGS__;in(__VA_ARGS__) #define DBL(...) double __VA_ARGS__;in(__VA_ARGS__) #define LD(...) ld __VA_ARGS__;in(__VA_ARGS__) #define Sort(a) sort(all(a)) #define Rev(a) reverse(all(a)) #define Uniq(a) sort(all(a));a.erase(unique(all(a)),end(a)) #define vec(type,name,...) vectorname(__VA_ARGS__) #define VEC(type,name,size) vectorname(size);in(name) #define vv(type,name,h,...) vector>name(h,vector(__VA_ARGS__)) #define VV(type,name,h,w) vector>name(h,vector(w));in(name) #define vvv(type,name,h,w,...) vector>>name(h,vector>(w,vector(__VA_ARGS__))) template auto min(const T& a){ return *min_element(all(a)); } template auto max(const T& a){ return *max_element(all(a)); } inline ll popcnt(ull a){ return __builtin_popcountll(a); } ll gcd(ll a, ll b){ while(b){ ll c = b; b = a % b; a = c; } return a; } ll lcm(ll a, ll b){ if(!a || !b) return 0; return a * b / gcd(a, b); } ll intpow(ll a, ll b){ ll ans = 1; while(b){ if(b & 1) ans *= a; a *= a; b /= 2; } return ans; } ll modpow(ll a, ll b, ll p){ ll ans = 1; while(b){ if(b & 1) (ans *= a) %= p; (a *= a) %= p; b /= 2; } return ans; } template bool chmin(T& a, const T& b){ if(a > b){ a = b; return 1; } return 0; } template bool chmax(T& a, const T& b){ if(a < b){ a = b; return 1; } return 0; } template bool chmin(T& a, const U& b){ if(a > T(b)){ a = b; return 1; } return 0; } template bool chmax(T& a, const U& b){ if(a < T(b)){ a = b; return 1; } return 0; } vector iota(ll n, ll begin = 0){ vector a(n); iota(a.begin(), a.end(), begin); return a; } vector factor(ull x){ vector ans; for(ull i = 2; i * i <= x; i++) if(x % i == 0){ ans.push_back({i, 1}); while((x /= i) % i == 0) ans.back().second++; } if(x != 1) ans.push_back({x, 1}); return ans; } map factor_map(ull x){ map ans; for(ull i = 2; i * i <= x; i++) if(x % i == 0){ ans[i] = 1; while((x /= i) % i == 0) ans[i]++; } if(x != 1) ans[x] = 1; return ans; } vector divisor(ull x){ vector ans; for(ull i = 1; i * i <= x; i++) if(x % i == 0) ans.push_back(i); rrep(ans.size() - (ans.back() * ans.back() == x)) ans.push_back(x / ans[i]); return ans; } template unordered_map press(vector a){ Uniq(a); unordered_map ans; rep(a.size()) ans[a[i]] = i; return ans; } template map press_map(vector a){ Uniq(a); map ans; rep(a.size()) ans[a[i]] = i; return ans; } int scan(){ return getchar(); } void scan(int& a){ scanf("%d", &a); } void scan(unsigned& a){ scanf("%u", &a); } void scan(long& a){ scanf("%ld", &a); } void scan(long long& a){ scanf("%lld", &a); } void scan(unsigned long long& a){ scanf("%llu", &a); } void scan(char& a){ do{ a = getchar(); }while(a == ' ' || a == '\n'); } void scan(float& a){ scanf("%f", &a); } void scan(double& a){ scanf("%lf", &a); } void scan(long double& a){ scanf("%Lf", &a); } void scan(vector& a){ for(unsigned i = 0; i < a.size(); i++){ int b; scan(b); a[i] = b; } } void scan(char a[]){ scanf("%s", a); } void scan(string& a){ cin >> a; } template void scan(vector&); template void scan(array&); template void scan(pair&); template void scan(T(&)[size]); template void scan(vector& a){ for(auto&& i : a) scan(i); } template void scan(deque& a){ for(auto&& i : a) scan(i); } template void scan(array& a){ for(auto&& i : a) scan(i); } template void scan(pair& p){ scan(p.first); scan(p.second); } template void scan(T (&a)[size]){ for(auto&& i : a) scan(i); } template void scan(T& a){ cin >> a; } void in(){} template void in(Head& head, Tail&... tail){ scan(head); in(tail...); } void print(){ putchar(' '); } void print(bool a){ printf("%d", a); } void print(int a){ printf("%d", a); } void print(unsigned a){ printf("%u", a); } void print(long a){ printf("%ld", a); } void print(long long a){ printf("%lld", a); } void print(unsigned long long a){ printf("%llu", a); } void print(char a){ printf("%c", a); } void print(char a[]){ printf("%s", a); } void print(const char a[]){ printf("%s", a); } void print(float a){ printf("%.15f", a); } void print(double a){ printf("%.15f", a); } void print(long double a){ printf("%.15Lf", a); } void print(const string& a){ for(auto&& i : a) print(i); } template void print(const complex& a){ if(a.real() >= 0) print('+'); print(a.real()); if(a.imag() >= 0) print('+'); print(a.imag()); print('i'); } template void print(const vector&); template void print(const array&); template void print(const pair& p); template void print(const T (&)[size]); template void print(const vector& a){ if(a.empty()) return; print(a[0]); for(auto i = a.begin(); ++i != a.end(); ){ putchar(' '); print(*i); } } template void print(const deque& a){ if(a.empty()) return; print(a[0]); for(auto i = a.begin(); ++i != a.end(); ){ putchar(' '); print(*i); } } template void print(const array& a){ print(a[0]); for(auto i = a.begin(); ++i != a.end(); ){ putchar(' '); print(*i); } } template void print(const pair& p){ print(p.first); putchar(' '); print(p.second); } template void print(const T (&a)[size]){ print(a[0]); for(auto i = a; ++i != end(a); ){ putchar(' '); print(*i); } } template void print(const T& a){ cout << a; } int out(){ putchar('\n'); return 0; } template int out(const T& t){ print(t); putchar('\n'); return 0; } template int out(const Head& head, const Tail&... tail){ print(head); putchar(' '); out(tail...); return 0; } #ifdef DEBUG inline ll __lg(ull x){ return 63 - __builtin_clzll(x); } #define debug(...) { print(#__VA_ARGS__); print(":"); out(__VA_ARGS__); } #else #define debug(...) void(0) #endif int first(bool i = true){ return out(i?"first":"second"); } int First(bool i = true){ return out(i?"First":"Second"); } int yes(bool i = true){ return out(i?"yes":"no"); } int Yes(bool i = true){ return out(i?"Yes":"No"); } int No(){ return out("No"); } int YES(bool i = true){ return out(i?"YES":"NO"); } int NO(){ return out("NO"); } int Yay(bool i = true){ return out(i?"Yay!":":("); } int possible(bool i = true){ return out(i?"possible":"impossible"); } int Possible(bool i = true){ return out(i?"Possible":"Impossible"); } int POSSIBLE(bool i = true){ return out(i?"POSSIBLE":"IMPOSSIBLE"); } void Case(ll i){ printf("Case #%lld: ", i); } // O(m^2 \log m \log U) // U: maximum capacity enum Objective{ MINIMIZE = +1, MAXIMIZE = -1, }; template struct MinCostFlow{ template inline void chmin(T &x,T y){x=min(x,y);} struct Edge{ int src,dst; Flow flow,cap; Cost cost; int rev; Edge(int src,int dst,Flow cap,Cost cost,int rev): src(src),dst(dst),flow(0),cap(cap),cost(cost),rev(rev){} Flow residual_cap()const{return cap-flow;} }; struct EdgePtr{ int v,e; EdgePtr(int v,int e):v(v),e(e){} }; int n; vector> G; vector b; vector p; MinCostFlow(int n):n(n),G(n),b(n,0){} EdgePtr add_edge(int src,int dst,Flow lower,Flow upper,Cost cost){ int e=G[src].size(); int r=(src==dst?e+1:G[dst].size()); assert(lower<=upper); G[src].emplace_back(src,dst,+upper,+cost*objective,r); G[dst].emplace_back(dst,src,-lower,-cost*objective,e); return EdgePtr(src,e); } const Edge &get_edge(EdgePtr ep)const{return G[ep.v][ep.e];} void push(Edge &e,Flow amount){ e.flow+=amount; G[e.dst][e.rev].flow-=amount; } void add_supply(int v,Flow amount){b[v]+=amount;} void add_demand(int v,Flow amount){b[v]-=amount;} Cost residual_cost(const Edge &e){ return e.cost+p[e.src]-p[e.dst]; } vector excess_vs,deficit_vs; void saturate_negative(const Flow delta){ for(auto &es:G){ for(auto &e:es){ Flow cap=e.residual_cap(); cap-=cap%delta; if(cap<0 or residual_cost(e)<0){ push(e,cap); b[e.src]-=cap; b[e.dst]+=cap; } } } excess_vs.clear(); deficit_vs.clear(); for(int v=0;v0) excess_vs.emplace_back(v); if(b[v]<0) deficit_vs.emplace_back(v); } } const Cost unreachable = std::numeric_limits::max(); Cost farthest; vector dist; vector parent; struct P{ Cost first; int second; P(Cost first,int second):first(first),second(second){} bool operator<(const P o)const{return first>o.first;} }; priority_queue

pq; template void eliminate(vector &vs,Predicate predicate){ vs.erase(remove_if(begin(vs),end(vs),predicate),end(vs)); } bool dual(const Flow delta){ eliminate(excess_vs, [&](int v){return b[v]<+delta;}); eliminate(deficit_vs,[&](int v){return b[v]>-delta;}); dist.assign(n,unreachable); for(int v:excess_vs) pq.emplace(dist[v]=0,v); parent.assign(n,nullptr); auto emplace=[&](Edge& e){ if(e.residual_cap()=dist[e.dst]) return; pq.emplace(dist[e.dst]=nxt,e.dst); parent[e.dst]=&e; }; farthest=0; int deficit_count=0; while(!pq.empty()){ Cost d=pq.top().first; int v=pq.top().second; pq.pop(); if(dist[v]=(int)deficit_vs.size()) break; for(auto &e:G[v]) emplace(e); } pq=decltype(pq)(); for(int v=0;v0; } void primal(const Flow delta){ for(int t:deficit_vs){ if(dist[t]>farthest) continue; Flow f=-b[t]; int v; for(v=t;parent[v];v=parent[v]->src) chmin(f,parent[v]->residual_cap()); chmin(f,b[v]); f-=f%delta; if(f<=0) continue; for(v=t;parent[v];){ auto &e=*parent[v]; push(e,f); int u=parent[v]->src; if(e.residual_cap()<=0) parent[v]=nullptr; v=u; } b[t]+=f; b[v]-=f; } } template bool build(){ p.resize(n); Flow max_flow=1; for(auto t:b) max_flow=max({max_flow,t,-t}); for(auto &es:G) for(auto &e:es) max_flow=max({max_flow,e.residual_cap(),-e.residual_cap()}); Flow delta=1; while(delta T get_cost(){ T res=0; for(auto &es:G) for(auto &e:es) res+=T(e.flow)*T(e.cost)/T(objective); return res/T(2); } template T get_gain(){return get_cost();} vector get_potential(){ fill(p.begin(),p.end(),0); for(int i=0;i0) chmin(p[e.dst],p[e.src]+e.cost); return p; } }; template using MaxGainFlow = MinCostFlow; int main(){ LL(n); STR(s); VEC(ll,v,n); const ll S=n,T=n+1; MaxGainFlow g(n+2); ll Y=-1,U=-1,K=-1,I=-1; rrep(n){ if(s[i]=='i'){ g.add_edge(i,T,0,1,v[i]); if(I!=-1)g.add_edge(i,I,0,INF,0); I=i; } elif(s[i]=='k'){ if(K!=-1)g.add_edge(i,K,0,INF,0); if(I!=-1)g.add_edge(i,I,0,1,v[i]); K=i; } elif(s[i]=='u'){ if(U!=-1)g.add_edge(i,U,0,INF,0); if(K!=-1)g.add_edge(i,K,0,1,v[i]); U=i; } else{ if(Y!=-1)g.add_edge(i,Y,0,INF,0); if(U!=-1)g.add_edge(i,U,0,1,v[i]); Y=i; } } if(Y!=-1)g.add_edge(S,Y,0,INF,0); g.add_edge(T,S,0,INF,0); g.build(); out(g.get_cost()); }