#include #include using namespace std; using namespace atcoder; #define rep(i,n)for (int i = 0; i < int(n); ++i) #define rrep(i,n)for (int i = int(n)-1; i >= 0; --i) #define all(x) (x).begin(), (x).end() #define rall(x) (x).rbegin(), (x).rend() template void chmax(T& a, const T& b) {a = max(a, b);} template void chmin(T& a, const T& b) {a = min(a, b);} using ll = long long; using P = pair; using VI = vector; using VVI = vector; using VL = vector; using VVL = vector; template struct SparseTable { int n; std::vector floor_lg; std::vector> d; explicit SparseTable(std::vector&& a): n(a.size()), floor_lg(n + 1) { if (n == 0) return; int frog = 0; for(int i = 1; i <= n; frog++) { int j = std::min(n + 1, 2 * i); for(; i < j; i++) floor_lg[i] = frog; } d.resize(frog); d[0] = std::move(a); for(int p = 0, w = 1; p < frog - 1; p++, w *= 2) { int last = n - 2 * w; d[p + 1].resize(last + 1); for(int i = 0; i <= last; i++) d[p + 1][i] = op(d[p][i], d[p][i + w]); } } explicit SparseTable(const std::vector& a): SparseTable(std::vector(a)) {} S query(int l, int r) { assert(0 <= l && l <= r && r <= n); if (l >= r) return e(); int w = r - l; int p = floor_lg[w]; return op(d[p][l], d[p][r - (1 << p)]); } }; int op(int x, int y) { return min(x, y); } int e() { return 1001001001;} int op2(int x, int y) { return max(x, y);} int e2() { return -1; } int main() { ios::sync_with_stdio(false); cin.tie(0); int n, m; cin >> n >> m; string s, t; cin >> s >> t; constexpr int INF = 1001001001; int mx = 0; rep(_, 2) { int l = min(n, m); rep(i, l) { if (s[i] != t[i]) break; chmax(mx, i + 1); } reverse(all(s)); } t += '$'; rep(i, m) t += t[m - 1 - i]; auto sa = suffix_array(t); VI sa_inv(2 * m + 1); rep(i, 2 * m + 1) sa_inv[sa[i]] = i; auto rmq = SparseTable(lcp_array(t, sa)); VI d(m + 1); for(int i = 1; i < m; i++) { int idx1 = sa_inv[i], idx2 = sa_inv[2 * m + 1 - i]; if (idx1 > idx2) swap(idx1, idx2); d[i] = i + rmq.query(idx1, idx2); } d[m] = m; segtree seg(d); int r = m; for(int t = 1;; t++) { int c = (r + 1) / 2; int nr = seg.max_right(c, [&](int x) { return x < r; }); if (nr <= mx) { cout << t << endl; return 0; } else if (nr == r) { cout << -1 << endl; return 0; } r = nr; } }