This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
#include <bits/stdc++.h>
using namespace std;
const int BASE = 1<<19;
const int INF = 1e9+7;
int tree[2*BASE],tree2[2*BASE],ans[BASE],suf[BASE];
vector<pair<int,int> > z[BASE];
vector<int> lista;
void push(int v,int l,int r){
tree[l]+=tree2[v];
tree[r]+=tree2[v];
tree2[l]+=tree2[v];
tree2[r]+=tree2[v];
tree2[v]=0;
}
void add(int v,int p,int k,int a,int b,int x){
if(k<a || p>b) return;
else if(a<=p && k<=b){
tree[v]+=x;
tree2[v]+=x;
}
else{
int l=2*v, r=2*v+1, mid=(p+k)/2;
push(v,l,r);
add(l,p,mid,a,b,x);
add(r,mid+1,k,a,b,x);
tree[v]=min(tree[l],tree[r]);
}
}
int query(int v,int p,int k,int a,int b){
if(k<a || p>b) return INF;
else if(a<=p && k<=b){
return tree[v];
}
else{
int l=2*v, r=2*v+1, mid=(p+k)/2;
push(v,l,r);
return min(query(l,p,mid,a,b), query(r,mid+1,k,a,b));
}
}
int BS(int x){
if(lista[lista.size()-1]>x) return 0;
if(lista[0]<=x) return lista.size();
int s,p=0, k=lista.size()-1;
while(p<k){
s=(p+k)/2;
if(lista[s]<x) p=s;
else k=s-1;
}
return p;
}
int main(){
ios_base::sync_with_stdio(0); cin.tie(0); cout.tie(0);
int n,q,a,b,x,xd,xd1;
string s;
cin>>n>>s>>q;
s="#"+s;
for(int i=1;i<=q;i++){
cin>>a>>b;
z[a].push_back({b,i});
}
for(int i=n;i>=1;i--){
if(s[i]=='T') suf[i]=suf[i+1]-1;
else suf[i]=suf[i+1]+1;
add(1,0,BASE-1,i,i,suf[i]);
}
for(int i=n;i>=1;i--){
if(s[i]=='T'){
lista.push_back(i);
add(1,0,BASE-1,1,i,1);
}
else{
if(lista.size()){
x=lista[lista.size()-1];
lista.pop_back();
add(1,0,BASE-1,1,x,-1);
}
}
//cout<<"i="<<i<<" lista:"<<'\n'; for(int j=0;j<lista.size();j++) cout<<lista[j]<<' '; cout<<'\n';
//cout<<"i="<<i<<" drzewo:"<<'\n';
//for(int j=1;j<2*BASE;j++) cout<<j<<' '<<tree[j]<<' '<<tree2[j]<<'\n';
//cout<<i<<' '<<z[i].size()<<'\n';
for(auto e:z[i]){
xd=query(1,0,BASE-1,i,e.first);
xd1=query(1,0,BASE-1,e.first+1,e.first+1);
xd-=xd1;
if(lista.size()) ans[e.second]=BS(e.first);
//cout<<e.first<<' '<<e.second<<' '<<lista.size()<<' '<<ans[e.second]<<' '<<xd<<'\n';
if(xd<0){
ans[e.second]-=xd;
}
}
}
for(int i=1;i<=q;i++) cout<<ans[i]<<'\n';
return 0;
}
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