/* Problem URL: https://codeforces.com/problemset/problem/2022/C */ #include #include #include using namespace std; using namespace __gnu_pbds; template > using ordered_set = tree; #define V vector #define rmin(a, b) a = min(a, b) #define rmax(a, b) a = max(a, b) #define rep(i, lim) for (int i = 0; i < (lim); i++) #define nrep(i, s, lim) for (int i = s; i < (lim); i++) #define repv(i, v) for (auto &i : (v)) #define fillv(v) for (auto &itr_ : (v)) { cin >> itr_; } #define sortv(v) sort(v.begin(), v.end()) #define all(v) (v).begin(), (v).end() using vi = vector; using vvi = vector; using vvvi = vector; using vvvvi = vector; using ll = long long; using vl = vector; using vvl = vector; using vvvl = vector; using vvvvl = vector; template auto operator<<(ostream &os, const vector &vec)->ostream& { os << vec[0]; for (size_t i = 1; i < vec.size(); i++) { os << ' ' << vec[i]; } os << '\n'; return os; } template auto operator>>(istream &is, vector &vec)->istream& { for (auto &i : vec) { is >> i; } return is; } template auto operator<<(ostream &os, const vector> &vec)->ostream& { for (auto &i : vec) { os << i[0]; for (size_t j = 1; j < i.size(); j++) { os << ' ' << i[j]; } os << '\n'; } return os; } template auto operator>>(istream &is, vector> &vec)->istream& { for (auto &i : vec) { for (auto &j : i) { is >> j; } } return is; } const int oo = INT32_MAX >> 1; const ll OO = INT64_MAX >> 1; void pre() { } #define TEST 1 void solve() { int n; cin >> n; string a, b; cin >> a >> b; vvi act(2, vi(n)); rep(i, n) { act[0][i] += a[i] == 'A'; act[1][i] += b[i] == 'A'; } vvi memo(n, vi(3, -1)); function dp = [&](int i, int s) { if (i >= n - 1) { if (s == 1) { return (act[0][n - 1] + act[0][n - 2] + act[1][n - 1] + 1) / 3; } if (s == 2) { return (act[0][n - 1] + act[1][n - 1] + act[1][n - 2] + 1) / 3; } return 0; } int &ans = memo[i][s]; if (ans != -1) { return ans; } if (s == 1) { int one = (act[0][i] + act[0][i - 1] + act[0][i + 1] + 1) / 3 + (act[1][i] + act[1][i + 1] + act[1][i + 2] + 1) / 3; int two = (act[0][i] + act[0][i - 1] + act[1][i] + 1) / 3; return ans = max(one + dp(i + 3, s), two + dp(i + 1, 0)); } if (s == 2) { int one = (act[1][i] + act[1][i - 1] + act[1][i + 1] + 1) / 3 + (act[0][i] + act[0][i + 1] + act[0][i + 2] + 1) / 3; int two = (act[1][i] + act[1][i - 1] + act[0][i] + 1) / 3; return ans = max(one + dp(i + 3, s), two + dp(i + 1, 0)); } int one = (act[0][i] + act[1][i] + act[1][i + 1] + 1) / 3; int two = (act[1][i] + act[0][i] + act[0][i + 1] + 1) / 3; int three = (act[0][i] + act[0][i + 1] + act[0][i + 2] + 1) / 3 + (act[1][i] + act[1][i + 1] + act[1][i + 2] + 1) / 3; return ans = max({one + dp(i + 2, 1), two + dp(i + 2, 2), three + dp(i + 3, 0)}); }; cout << dp(0, 0) << '\n'; } int main() { ios::sync_with_stdio(false); cin.tie(nullptr); pre(); int t; (TEST && cin >> t) || (t = 1); while (t--) { solve(); } }