//#define _GLIBCXX_DEBUG //#pragma GCC target("avx2") //#pragma GCC optimize("O3") //#pragma GCC optimize("unroll-loops") #include using namespace std; #ifdef LOCAL #include #define OUT(...) debug_print::multi_print(#__VA_ARGS__, __VA_ARGS__) #else #define OUT(...) (static_cast(0)) #endif #define endl '\n' #define lfs cout<= (ll)(n); i--) using ll = long long; using ld = long double; const ll MOD1 = 1e9+7; const ll MOD9 = 998244353; const ll INF = 1e18; using P = pair; template using PQ = priority_queue; template using QP = priority_queue,greater>; templatebool chmin(T1 &a,T2 b){if(a>b){a=b;return true;}else return false;} templatebool chmax(T1 &a,T2 b){if(avoid ans(bool x,T1 y,T2 z){if(x)cout<void anss(T1 x,T2 y,T3 z){ans(x!=y,x,z);}; templatevoid debug(const T &v,ll h,ll w,string sv=" "){for(ll i=0;ivoid debug(const T &v,ll n,string sv=" "){if(n!=0)cout<void debug(const vector&v){debug(v,v.size());} templatevoid debug(const vector>&v){for(auto &vv:v)debug(vv,vv.size());} templatevoid debug(stack st){while(!st.empty()){cout<void debug(queue st){while(!st.empty()){cout<void debug(deque st){while(!st.empty()){cout<void debug(PQ st){while(!st.empty()){cout<void debug(QP st){while(!st.empty()){cout<void debug(const set&v){for(auto z:v)cout<void debug(const multiset&v){for(auto z:v)cout<void debug(const array &a){for(auto z:a)cout<void debug(const map&v){for(auto z:v)cout<<"["<vector>vec(ll x, ll y, T w){vector>v(x,vector(y,w));return v;} ll gcd(ll x,ll y){ll r;while(y!=0&&(r=x%y)!=0){x=y;y=r;}return y==0?x:y;} vectordx={1,-1,0,0,1,1,-1,-1};vectordy={0,0,1,-1,1,-1,1,-1}; templatevector make_v(size_t a,T b){return vector(a,b);} templateauto make_v(size_t a,Ts... ts){return vector(a,make_v(ts...));} templateostream &operator<<(ostream &os, const pair&p){return os << "(" << p.first << "," << p.second << ")";} templateostream &operator<<(ostream &os, const vector &v){os<<"[";for(auto &z:v)os << z << ",";os<<"]"; return os;} templatevoid rearrange(vector&ord, vector&v){ auto tmp = v; for(int i=0;ivoid rearrange(vector&ord,Head&& head, Tail&&... tail){ rearrange(ord, head); rearrange(ord, tail...); } template vector ascend(const vector&v){ vectorord(v.size());iota(ord.begin(),ord.end(),0); sort(ord.begin(),ord.end(),[&](int i,int j){return make_pair(v[i],i) vector descend(const vector&v){ vectorord(v.size());iota(ord.begin(),ord.end(),0); sort(ord.begin(),ord.end(),[&](int i,int j){return make_pair(v[i],-i)>make_pair(v[j],-j);}); return ord; } template vector inv_perm(const vector&ord){ vectorinv(ord.size()); for(int i=0;i0);return n>=0?n/div:(n-div+1)/div;} ll CEIL(ll n,ll div){assert(div>0);return n>=0?(n+div-1)/div:n/div;} ll digitsum(ll n){ll ret=0;while(n){ret+=n%10;n/=10;}return ret;} ll modulo(ll n,ll d){return (n%d+d)%d;}; templateT min(const vector&v){return *min_element(v.begin(),v.end());} templateT max(const vector&v){return *max_element(v.begin(),v.end());} templateT acc(const vector&v){return accumulate(v.begin(),v.end(),T(0));}; templateT reverse(const T &v){return T(v.rbegin(),v.rend());}; //mt19937 mt(chrono::steady_clock::now().time_since_epoch().count()); int popcount(ll x){return __builtin_popcountll(x);}; int poplow(ll x){return __builtin_ctzll(x);}; int pophigh(ll x){return 63 - __builtin_clzll(x);}; templateT poll(queue &q){auto ret=q.front();q.pop();return ret;}; templateT poll(priority_queue &q){auto ret=q.top();q.pop();return ret;}; templateT poll(QP &q){auto ret=q.top();q.pop();return ret;}; templateT poll(stack &s){auto ret=s.top();s.pop();return ret;}; ll MULT(ll x,ll y){if(LLONG_MAX/x<=y)return LLONG_MAX;return x*y;} ll POW2(ll x, ll k){ll ret=1,mul=x;while(k){if(mul==LLONG_MAX)return LLONG_MAX;if(k&1)ret=MULT(ret,mul);mul=MULT(mul,mul);k>>=1;}return ret;} ll POW(ll x, ll k){ll ret=1;for(int i=0;ito_int(const string &s,const string &t){ regi_str(t); vectorret(s.size()); for(int i=0;ito_int(const string &s){ auto t=s; sort(t.begin(),t.end()); t.erase(unique(t.begin(),t.end()),t.end()); return to_int(s,t); } vector>to_int(const vector&s,const string &t){ regi_str(t); vector>ret(s.size(),vector(s[0].size())); for(int i=0;i>to_int(const vector&s){ string t; for(int i=0;i&s,const string &t){ regi_int(t); string ret; for(auto z:s)ret+=dict[z]; return ret; } vector to_str(const vector>&s,const string &t){ regi_int(t); vectorret(s.size()); for(int i=0;i struct edge { int to; T cost; int id; edge():to(-1),id(-1){}; edge(int to, T cost = 1, int id = -1):to(to), cost(cost), id(id){} operator int() const { return to; } }; template using Graph = vector>>; template Graphrevgraph(const Graph &g){ Graphret(g.size()); for(int i=0;i Graph readGraph(int n,int m,int indexed=1,bool directed=false,bool weighted=false){ Graph ret(n); for(int es = 0; es < m; es++){ int u,v; T w=1; cin>>u>>v;u-=indexed,v-=indexed; if(weighted)cin>>w; ret[u].emplace_back(v,w,es); if(!directed)ret[v].emplace_back(u,w,es); } return ret; } template Graph readParent(int n,int indexed=1,bool directed=true){ Graphret(n); for(int i=1;i>p; p-=indexed; ret[p].emplace_back(i); if(!directed)ret[i].emplace_back(p); } return ret; } template pair,vector>inout(const Graph&g,int root=-1) { vectorin(g.size(),-1),out(g.size(),-1); int time=0; auto dfs=[&](auto &&self,int k)->void { in[k]=time++; for(auto to:g[k]){ if(in[to]!=-1)continue; self(self,to); } out[k]=time; }; if(root==-1){ for(int i=0;i struct LazySegmentTree { ll sz, height, n; vector< Monoid > data; vector< OperatorMonoid > lazy; const F f; const G g; const H h; Monoid M1; OperatorMonoid OM0; LazySegmentTree(int n, const F &f,const G &g, const H &h, Monoid M1, OperatorMonoid OM0):n(n),f(f),g(g),h(h),M1(M1),OM0(OM0){ sz = 1; height = 0; while(sz < n) sz <<= 1, height++; data.assign(2 * sz, M1); lazy.assign(2 * sz, OM0); } void set(ll k, const Monoid &x) { data[k + sz] = x; } void build() { for(ll k = sz - 1; k > 0; k--) { data[k] = f(data[2 * k + 0], data[2 * k + 1]); } } inline void propagate(int k) { if(lazy[k] != OM0) { lazy[2 * k + 0] = h(lazy[2 * k + 0], lazy[k]); lazy[2 * k + 1] = h(lazy[2 * k + 1], lazy[k]); data[k] = reflect(k); lazy[k] = OM0; } } inline Monoid reflect(int k) { return lazy[k] == OM0 ? data[k] : g(data[k], lazy[k]); } inline void recalc(int k) { while(k >>= 1) data[k] = f(reflect(2 * k + 0), reflect(2 * k + 1)); } inline void thrust(int k) { for(ll i = height; i > 0; i--) propagate(k >> i); } void update(int a, int b, const OperatorMonoid &x) { if(a>=b)return; thrust(a += sz); thrust(b += sz - 1); for(ll l = a, r = b + 1; l < r; l >>= 1, r >>= 1) { if(l & 1) lazy[l] = h(lazy[l], x), ++l; if(r & 1) --r, lazy[r] = h(lazy[r], x); } recalc(a); recalc(b); } void update(int a,const Monoid &x){ thrust(a += sz); data[a] = x; lazy[a] = OM0; recalc(a); } Monoid query(int a, int b) { if(a>=b)return M1; thrust(a += sz); thrust(b += sz - 1); Monoid L = M1, R = M1; for(ll l = a, r = b + 1; l < r; l >>= 1, r >>= 1) { if(l & 1) L = f(L, reflect(l++)); if(r & 1) R = f(reflect(--r), R); } return f(L, R); } Monoid operator[](const int &k) { return query(k, k + 1); } Monoid all_prod(){ return reflect(1); } template< typename C > ll find_subtree(int a, const C &check, Monoid &M, bool type) { while(a < sz) { propagate(a); Monoid nxt = type ? f(reflect(2 * a + type), M) : f(M, reflect(2 * a + type)); if(check(nxt)) a = 2 * a + type; else M = nxt, a = 2 * a + 1 - type; } return a - sz; } template< typename C > ll find_first(int a, const C &check) { Monoid L = M1; if(a <= 0) { if(check(f(L, reflect(1)))) return find_subtree(1, check, L, false); return n; } thrust(a + sz); ll b = sz; for(a += sz, b += sz; a < b; a >>= 1, b >>= 1) { if(a & 1) { Monoid nxt = f(L, reflect(a)); if(check(nxt)) return find_subtree(a, check, L, false); L = nxt; ++a; } } return n; } template< typename C > ll find_last(int b, const C &check) { Monoid R = M1; if(b >= sz) { if(check(f(reflect(1), R))) return find_subtree(1, check, R, true); return -1; } thrust(b + sz - 1); ll a = sz; for(b += sz; a < b; a >>= 1, b >>= 1) { if(b & 1) { Monoid nxt = f(reflect(--b), R); if(check(nxt)) return find_subtree(b, check, R, true); R = nxt; } } return -1; } void print(){ for(ll i=0;imake(int n){ return {n,f,g,h,INF,0}; } } int main(){ cin.tie(nullptr); ios_base::sync_with_stdio(false); ll res=0,buf=0; bool judge = true; ll n;cin>>n; assert(3<=n&&n<=1e5); string s;cin>>s; assert(s.size()==n); for(auto c:s)assert(c=='B'||c=='G'); vectoru(n-1),v(n-1),w(n-1); rep(i,0,n-1){ cin>>u[i]>>v[i]>>w[i]; assert(1<=u[i]&&u[i]<=n); assert(1<=v[i]&&v[i]<=n); assert(0<=w[i]&&w[i]<=1e5); u[i]--,v[i]--; } Graphg(n); rep(i,0,n-1){ g[u[i]].EB(v[i],w[i]); g[v[i]].EB(u[i],w[i]); } string GB="GB"; ll q;cin>>q; assert(1<=q&&q<=1e5); vectore(q),a(q); rep(i,0,q){ cin>>e[i]>>a[i]; assert(1<=e[i]&&e[i]<=n-1); assert(1<=a[i]&&a[i]<=1e5); e[i]--; } vectorret(q,INF); for(auto c:GB){ auto es=w; vectorsubc(n),subsz(n); auto [in,out]=inout(g); rep(i,0,n)if(in[u[i]]>in[v[i]])swap(u[i],v[i]); { auto dfs=[&](auto &&f,int k,int par)->void { subsz[k]++; if(s[k]==c)subc[k]++; for(auto to:g[k]){ if(to==par)continue; f(f,to,k); subsz[k]+=subsz[to]; subc[k]+=subc[to]; } }; dfs(dfs,0,-1); } ll cnt=subc[0]; vectoraff(n,-1); auto seg=add_min::make(n); rep(i,0,n)seg.set(i,INF/2); { int ai=0; auto dfs=[&](auto &&f,int k,int par)->void { if(cnt==subsz[k]){ aff[k]=k; seg.set(in[k],0); } else if(par!=-1)aff[k]=aff[par]; for(auto to:g[k]){ if(to==par)continue; f(f,to,k); } }; dfs(dfs,0,-1); } //OUT(cnt,subsz,subc); seg.build(); auto add_cost=[&](ll ei,ll add){ if(add==0)return; es[ei]+=add; assert(es[ei]<=INT_MAX); //下りコスト { ll need=min(subsz[v[ei]],cnt)-subc[v[ei]]; ll pos=v[ei]; if(aff[pos]!=-1)pos=aff[pos]; seg.update(in[pos],out[pos],need*add); } //上りコスト { ll need=subc[v[ei]]; ll pos=v[ei]; if(aff[pos]!=-1)pos=aff[pos]; seg.update(0,in[pos],need*add); seg.update(out[pos],n,need*add); } }; rep(i,0,n-1)add_cost(i,w[i]); rep(i,0,q){ add_cost(e[i],a[i]); //seg.print(); chmin(ret[i],seg.all_prod()); } } rep(i,0,q)cout<