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;
typedef long long ll;
const int N = 2e5 + 5;
int a[4*N], nxt[3*N][2];
int idx[4*N][2], vis[2*N];
vector<int> pos;
ll solve(int n, int i) {
int ptr[2] = {i+n, i+n};
ll val = 0;
for (int j = i; j < i+n; ++j)
val += min((ptr[a[j]] = nxt[ptr[a[j]]][a[j]] + 1) - n - i - 1, j - i);
return val;
}
int main() {
ios_base::sync_with_stdio(false); cin.tie(0);
int n; cin >> n;
string s; cin >> s;
for (int i = 0; i < 2*n; i++)
a[i] = a[i+2*n] = s[i] == 'B';
nxt[3*n][0] = nxt[3*n][1] = 3*n;
for (int i = 3*n-1; i >= 0; i--) {
nxt[i][0] = nxt[i+1][0], nxt[i][1] = nxt[i+1][1];
nxt[i][a[i]^1] = i;
}
idx[0][a[0]] = 1, idx[0][a[0]^1] = 0;
for (int i = 1; i < 4*n; i++) {
idx[i][0] = idx[i-1][0], idx[i][1] = idx[i-1][1];
idx[i][a[i]]++;
}
for (int i = 0; i < n; i++) if (s[i] == s[i+n]) {
int hi = idx[nxt[i+n][a[i]^1]][a[i]] - idx[nxt[i][a[i]]][a[i]^1];
if (!vis[hi] && 2 * hi <= n + 1)
vis[hi] = i+1;
}
for (int i = 0; i <= n; i++) if (vis[i])
pos.push_back(vis[i] - 1);
ll ans = solve(n, 0);
int lo = 0, hi = pos.size() - 1;
while (lo <= hi) {
int mi = (lo + hi) / 2;
ll x1 = solve(n, pos[mi]);
ans = max(ans, x1);
if (lo == hi)
break;
if (x1 <= solve(n, pos[mi+1]))
lo = mi + 1;
else
hi = mi - 1;
}
cout << ans << "\n";
}
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