#line 2 "cpplib/util/template.hpp" #pragma GCC optimize("Ofast") #pragma GCC optimize("unroll-loops") #pragma GCC target("avx2") #include using namespace std; struct __INIT__{__INIT__(){cin.tie(0);ios::sync_with_stdio(false);cout< vec; typedef vector> mat; typedef vector>> mat3; typedef vector svec; typedef vector> smat; templateusing V=vector; templateusing VV=V>; templateinline void output(T t){bool f=0;for(auto i:t){cout<<(f?" ":"")<inline void output2(T t){for(auto i:t)output(i);} templateinline void debug(T t){bool f=0;for(auto i:t){cerr<<(f?" ":"")<inline void debug2(T t){for(auto i:t)debug(i);} #define loop(n) for(long long _=0;_<(long long)(n);++_) #define _overload4(_1,_2,_3,_4,name,...) name #define __rep(i,a) repi(i,0,a,1) #define _rep(i,a,b) repi(i,a,b,1) #define repi(i,a,b,c) for(long long i=(long long)(a);i<(long long)(b);i+=c) #define rep(...) _overload4(__VA_ARGS__,repi,_rep,__rep)(__VA_ARGS__) #define _overload3_rev(_1,_2,_3,name,...) name #define _rep_rev(i,a) repi_rev(i,0,a) #define repi_rev(i,a,b) for(long long i=(long long)(b)-1;i>=(long long)(a);--i) #define rrep(...) _overload3_rev(__VA_ARGS__,repi_rev,_rep_rev)(__VA_ARGS__) // #define rep(i,...) for(auto i:range(__VA_ARGS__)) // #define rrep(i,...) for(auto i:reversed(range(__VA_ARGS__))) // #define repi(i,a,b) for(lint i=lint(a);i<(lint)(b);++i) // #define rrepi(i,a,b) for(lint i=lint(b)-1;i>=lint(a);--i) // #define irep(i) for(lint i=0;;++i) // inline vector range(long long n){if(n<=0)return vector();vectorv(n);iota(v.begin(),v.end(),0LL);return v;} // inline vector range(long long a,long long b){if(b<=a)return vector();vectorv(b-a);iota(v.begin(),v.end(),a);return v;} // inline vector range(long long a,long long b,long long c){if((b-a+c-1)/c<=0)return vector();vectorv((b-a+c-1)/c);for(int i=0;i<(int)v.size();++i)v[i]=i?v[i-1]+c:a;return v;} // templateinline T reversed(T v){reverse(v.begin(),v.end());return v;} #define all(n) begin(n),end(n) templatebool chmin(T& s,const E& t){bool res=s>t;s=min(s,t);return res;} templatebool chmax(T& s,const E& t){bool res=s(s,t);return res;} const vector dx={1,0,-1,0,1,1,-1,-1}; const vector dy={0,1,0,-1,1,-1,1,-1}; #define SUM(v) accumulate(all(v),0LL) templateauto make_vector(T x,int arg,Args ...args){if constexpr(sizeof...(args)==0)return vector(arg,x);else return vector(arg,make_vector(x,args...));} #define extrep(v,...) for(auto v:__MAKE_MAT__({__VA_ARGS__})) #define bit(n,a) ((n>>a)&1) vector> __MAKE_MAT__(vector v){if(v.empty())return vector>(1,vector());long long n=v.back();v.pop_back();vector> ret;vector> tmp=__MAKE_MAT__(v);for(auto e:tmp)for(long long i=0;i>; templateusing graph_w=vector>>; templateostream& operator<<(ostream& out,pairv){out<<"("< struct reroot{ std::vector>g; std::vectorp_list; std::vectorp_table; std::vectorp_checked; std::vector>table; std::vectorans; T e; F f; Fix fix; reroot(const std::vector>& g,T e,F f=F(),Fix fix=Fix()):g(g),e(e),f(f),fix(fix){ int n=g.size(); p_list.resize(n,-1); p_checked.resize(n,0); table.resize(n); p_table.resize(n,e); ans.resize(n,e); dfs1(0,-1); for(int i=0;itmp(g[n].size()); rep(i,g[n].size()){ int t=g[n][i]; if(t==p)continue; table[n][t]=tmp1; tmp1=f(tmp1,tmp[i]=dfs1(t,n)); } for(int i=g[n].size()-1;i>=0;--i){ int t=g[n][i]; if(t==p)continue; table[n][t]=f(table[n][t],tmp2); tmp2=f(tmp[i],tmp2); } return fix(table[n][p]=tmp1,n,p); } T dfs2(int n,int p){ if(n==-1)return e; if(!p_checked[n]){ p_checked[n]=1; p_table[n]=dfs2(p_list[n],n); } if(p==-1){ return f(table[n][p_list[n]],p_table[n]); }else{ if(p_list[n]==-1)return fix(table[n][p],n,p); else return fix(f(table[n][p],p_table[n]),n,p); } } vectorquery(){ return ans; } }; #line 3 "code.cpp" int main(){ lint n; cin>>n; string s; cin>>s; mat v(n); map,char>ma; rep(i,n-1){ lint s,t; cin>>s>>t; char c; cin>>c; s--;t--; v[s].emplace_back(t); v[t].emplace_back(s); ma[minmax(s,t)]=c; } lint m=s.size(); auto merge=[&](const auto& s,const auto& t){ vec res(m+1); rep(i,m+1)res[i]=max(s[i],t[i]); return res; }; auto fix=[&](const auto& dp,lint p,lint q){ vec res(m+1); char c=ma[minmax(p,q)]; rep(i,m+1){ chmax(res[i],dp[i]); if(i)chmax(res[i],res[i-1]); if(i&&s[i-1]==c)chmax(res[i],dp[i-1]+1); } return res; }; rerootr(v,vec(m+1),merge,fix); auto res=r.query(); lint ans=0; rep(i,n)chmax(ans,res[i].back()); cout<vec{ // vec res(m+1); // for(auto [to,c]:v[now]){ // if(p==to)continue; // auto dp=dfs(dfs,to,now); // rep(i,m+1){ // chmax(res[i],dp[i]); // if(i)chmax(res[i],res[i-1]); // if(i&&s[i-1]==c)chmax(res[i],dp[i-1]+1); // } // } // return res; // }; // lint ans=0; // rep(i,n){ // chmax(ans,dfs(dfs,i,-1).back()); // } // cout<