#include using namespace std; #define rep(i, n) for (int i = 0; i < n; i++) #define rep2(i, x, n) for (int i = x; i <= n; i++) #define rep3(i, x, n) for (int i = x; i >= n; i--) #define each(e, v) for (auto &e : v) #define pb push_back #define eb emplace_back #define all(x) x.begin(), x.end() #define rall(x) x.rbegin(), x.rend() #define sz(x) (int)x.size() using ll = long long; using pii = pair; using pil = pair; using pli = pair; using pll = pair; template bool chmax(T &x, const T &y) { return (x < y) ? (x = y, true) : false; } template bool chmin(T &x, const T &y) { return (x > y) ? (x = y, true) : false; } template int flg(T x, int i) { return (x >> i) & 1; } template void print(const vector &v, T x = 0) { int n = v.size(); for (int i = 0; i < n; i++) cout << v[i] + x << (i == n - 1 ? '\n' : ' '); if (v.empty()) cout << '\n'; } template void printn(const vector &v, T x = 0) { int n = v.size(); for (int i = 0; i < n; i++) cout << v[i] + x << '\n'; } template int lb(const vector &v, T x) { return lower_bound(begin(v), end(v), x) - begin(v); } template int ub(const vector &v, T x) { return upper_bound(begin(v), end(v), x) - begin(v); } template void rearrange(vector &v) { sort(begin(v), end(v)); v.erase(unique(begin(v), end(v)), end(v)); } template vector id_sort(const vector &v, bool greater = false) { int n = v.size(); vector ret(n); iota(begin(ret), end(ret), 0); sort(begin(ret), end(ret), [&](int i, int j) { return greater ? v[i] > v[j] : v[i] < v[j]; }); return ret; } template pair operator+(const pair &p, const pair &q) { return make_pair(p.first + q.first, p.second + q.second); } template pair operator-(const pair &p, const pair &q) { return make_pair(p.first - q.first, p.second - q.second); } template istream &operator>>(istream &is, pair &p) { S a; T b; is >> a >> b; p = make_pair(a, b); return is; } template ostream &operator<<(ostream &os, const pair &p) { return os << p.first << ' ' << p.second; } struct io_setup { io_setup() { ios_base::sync_with_stdio(false); cin.tie(NULL); cout << fixed << setprecision(15); } } io_setup; const int inf = (1 << 30) - 1; const ll INF = (1LL << 60) - 1; const int MOD = 1000000007; // const int MOD = 998244353; template struct Binary_Indexed_Tree { vector bit; const int n; Binary_Indexed_Tree(const vector &v) : n((int)v.size()) { bit.resize(n + 1); copy(begin(v), end(v), begin(bit) + 1); for (int a = 2; a <= n; a <<= 1) { for (int b = a; b <= n; b += a) bit[b] += bit[b - a / 2]; } } Binary_Indexed_Tree(int n, const T &x) : n(n) { bit.resize(n + 1); vector v(n, x); copy(begin(v), end(v), begin(bit) + 1); for (int a = 2; a <= n; a <<= 1) { for (int b = a; b <= n; b += a) bit[b] += bit[b - a / 2]; } } void add(int i, const T &x) { for (i++; i <= n; i += (i & -i)) bit[i] += x; } void change(int i, const T &x) { add(i, x - query(i, i + 1)); } T sum(int i) const { T ret = 0; for (; i > 0; i -= (i & -i)) ret += bit[i]; return ret; } T query(int l, int r) const { return sum(r) - sum(l); } T operator[](int i) const { return query(i, i + 1); } int lower_bound(T x) const { int ret = 0; for (int k = 31 - __builtin_clz(n); k >= 0; k--) { if (ret + (1 << k) <= n && bit[ret + (1 << k)] < x) x -= bit[ret += (1 << k)]; } return ret; } int upper_bound(T x) const { int ret = 0; for (int k = 31 - __builtin_clz(n); k >= 0; k--) { if (ret + (1 << k) <= n && bit[ret + (1 << k)] <= x) x -= bit[ret += (1 << k)]; } return ret; } }; template long long inversion_number(const vector &a) { int n = a.size(); vector v(n); iota(begin(v), end(v), 0); sort(begin(v), end(v), [&](int i, int j) { if (a[i] != a[j]) return a[i] < a[j]; return i < j; }); Binary_Indexed_Tree bit(n, 0); long long ret = 0; for (int i = 0; i < n; i++) { ret += bit.query(v[i] + 1, n); bit.add(v[i], 1); } return ret; } template long long inversion_number(const vector &a, const vector &b) { // a を b に変換するのに必要な最小バブルソート回数 int n = a.size(); assert(b.size() == n); vector u(n), v(n); iota(begin(u), end(u), 0); sort(begin(u), end(u), [&](int i, int j) { if (a[i] != a[j]) return a[i] < a[j]; return i < j; }); iota(begin(v), end(v), 0); sort(begin(v), end(v), [&](int i, int j) { if (b[i] != b[j]) return b[i] < b[j]; return i < j; }); vector w(n); for (int i = 0; i < n; i++) { if (a[u[i]] != b[v[i]]) return -1; w[v[i]] = u[i]; } Binary_Indexed_Tree bit(n, 0); long long ret = 0; for (int i = 0; i < n; i++) { ret += bit.query(w[i] + 1, n); bit.add(w[i], 1); } return ret; } int main() { int N; string S, T; cin >> N >> S >> T; if (S[0] != T[0] || S[N - 1] != T[N - 1]) { cout << "-1\n"; return 0; } vector a(N - 1), b(N - 1); rep(i, N - 1) { { int x = S[i] - 'A', y = S[i + 1] - 'A'; a[i] = (y + 2 - x) % 2; } { int x = T[i] - 'A', y = T[i + 1] - 'A'; b[i] = (y + 2 - x) % 2; } if (i % 2 == 1) a[i] ^= 1, b[i] ^= 1; } if (accumulate(all(a), 0) != accumulate(all(b), 0)) { cout << "-1\n"; return 0; } cout << inversion_number(a, b) << '\n'; }