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;
void solve() {
int n;
cin >> n;
string s;
cin >> s;
vector<int> black, white;
for (int i = 0; i < 2 * n; ++i) {
if (s[i] == 'B') {
black.emplace_back(i);
} else {
white.emplace_back(i);
}
}
auto countIntersection = [&](int j) -> long long {
long long ans = 0;
for (int i = 0; i < n; ++i, ++j) {
if (j == n) {
j = 0;
}
int side1 = abs(black[i] - white[j]) - 1;
ans += min(side1, (int)s.size() - 2 - side1);
}
return ans;
};
int left = 0, right = n - 1;
while (right - left > 2) {
int mid1 = left + (right - left) / 3;
int mid2 = right - (right - left) / 3;
if (countIntersection(mid1) < countIntersection(mid2)) {
left = mid1;
} else {
right = mid2;
}
}
long long ans = 0;
for (int start = left; start <= right; ++start) {
ans = max(ans, countIntersection(start));
}
cout << ans / 2 << '\n';
}
int main() {
ios_base::sync_with_stdio(0);
cin.tie(0);
cout.tie(0);
#ifdef LOCAL
freopen("input.txt", "r", stdin);
freopen("output.txt", "w", stdout);
int T = 1;
cin >> T;
while (T--) {
solve();
cerr << "-----------\n";
cout << "-----------\n";
}
#else
int T = 1;
// cin >> T;
while (T--) {
solve();
}
#endif
return 0;
}
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