//#pragma GCC optimize("O3")
#include <bits/stdc++.h>
using namespace std;
#define ll long long
#define pii pair<int,int>
#define f first
#define s second
#define all(x) x.begin(),x.end()
#define _ ios::sync_with_stdio(0); cin.tie(0); cout.tie(0);
int dx[4]={0,0,1,-1};
int dy[4]={1,-1,0,0};
void setIO(string s) {
freopen((s + ".in").c_str(), "r", stdin);
freopen((s + ".out").c_str(), "w", stdout);
}
const int mxn=4e5+5;
vector<int> bit(mxn);
void update(int pos,int val){
for(;pos<mxn;pos+=(pos&-pos)){
bit[pos]+=val;
}
}
int query(int pos){
int ans=0;
for(;pos>0;pos-=(pos&-pos)){
ans+=bit[pos];
}
return ans;
}
int main() {_
int n;
cin>>n;
vector<int> a,b;
for(int i=1;i<=2*n;i++){
char c;
cin>>c;
if(c=='B') a.push_back(i);
else b.push_back(i);
}
bool tf=false;
vector<ll> rec(n,-1);
ll mx=0;
function<ll(int)> get=[&](int k){
k=(k%n+n)%n;
if(tf) k=n-k-1;
if(rec[k]!=-1) return rec[k];
vector<pair<int,int>> p;
for(int i=0;i<n;i++){
p.push_back({a[i],b[(i+k)%n]});
}
for(auto &v:p){
if(v.s<v.f) swap(v.f,v.s);
}
vector<pair<int,int>> vec;
for(int i=0;i<n;i++){
vec.push_back({p[i].f,-1});
vec.push_back({p[i].s,i});
}
sort(all(vec));
ll ans=0;
fill(all(bit),0);
for(auto v:vec){
auto [pos,id]=v;
if(id<0){
ans-=query(pos);
}
else{
ans+=query(p[id].f);
update(p[id].f,1);
}
}
mx=max(mx,ans);
return rec[k]=ans;
};
if(get(0)>get(1)){
tf=true;
}
int l=1,r=n-1;
ll val=get(0);
while(l<r){
int mid=(l+r)/2;
ll v1=get(mid);
ll v2=get(mid+1);
if(v1>=v2){
r=mid;
}
else{
if(v1>val){
l=mid+1;
}
else{
r=mid-1;
}
}
}
cout<<max({get(0),get(n-1),get(l)})<<'\n';
return 0;
}
//maybe its multiset not set
//yeeorz
//diaoborz
/*
42
38
29
22
18
17
18
21
26
33
*/
Compilation message (stderr)
monochrome.cpp: In function 'void setIO(std::string)':
monochrome.cpp:15:12: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)' declared with attribute 'warn_unused_result' [-Wunused-result]
15 | freopen((s + ".in").c_str(), "r", stdin);
| ~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
monochrome.cpp:16:12: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)' declared with attribute 'warn_unused_result' [-Wunused-result]
16 | freopen((s + ".out").c_str(), "w", stdout);
| ~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
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