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;
vector<long long> pr(200010);
long long n;
void dude(long long l, long long r, long long x, long long c, bool yeah) {
if(r < l) {
return;
}
if(yeah) {
l-=x;
r-=x;
}
else {
l = x-l;
r = x-r;
swap(l,r);
}
if(l < 0) {
l+=n;
}
if(r < 0) {
r+=n;
}
if(l <= r) {
pr[l]+=c;
pr[r+1]-=c;
}
else {
pr[l]+=c;
pr[n]-=c;
pr[0]+=c;
pr[r+1]-=c;
}
}
void calc(bool yeah, vector<long long> p, vector<long long> q) {
for(long long i = 1; i <= n; i++) {
long long c = p[i];
long long l = 0,r = n,p1,p2;
while(l < r) {
long long mid = (l+r+1)/2;
if(q[mid] > c) {
r = mid-1;
}
else {
l = mid;
}
}
p1 = l;
if(c <= n) {
l = 0;
r = n;
while(l < r) {
long long mid = (l+r+1)/2;
if(q[mid] > c+n) {
r = mid-1;
}
else {
l = mid;
}
}
p2 = l;
dude(1,p1,i,c,yeah);
dude(p1+1,p2,i,-c,yeah);
if(yeah) {
dude(p2+1,n,i,2*n+c,yeah);
}
else {
dude(p2+1,n,i,c,yeah);
}
}
else {
l = 0;
r = n;
while(l < r) {
long long mid = (l+r+1)/2;
if(q[mid] < c-n) {
l = mid;
}
else {
r = mid-1;
}
}
p2 = l;
if(yeah) {
dude(1,p2,i,2*n-c,yeah);
}
else {
dude(1,p2,i,-c,yeah);
}
dude(p2+1,p1,i,c,yeah);
dude(p1+1,n,i,-c,yeah);
}
}
}
int main()
{
ios_base::sync_with_stdio(false);
cin.tie(NULL);
cout.tie(NULL);
cin >> n;
string s;
cin >> s;
vector<long long> p(1);
vector<long long> q(1);
for(long long i = 0; i < 2*n; i++) {
if(s[i] == 'B') {
p.push_back(i+1);
}
else {
q.push_back(i+1);
}
}
p.push_back(LLONG_MAX);
q.push_back(LLONG_MAX);
calc(1,p,q);
calc(0,q,p);
long long c = 0,ans = 0;
for(long long i = 0; i < n; i++) {
c+=pr[i];
ans = max(ans,(c-n)/2);
}
cout << ans;
return 0;
}
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