#include using namespace std; #define rep(i, n) for (int i = 0; i < (n); i++) #define per(i, n) for (int i = (n)-1; i >= 0; i--) #define rep2(i, l, r) for (int i = (l); i < (r); i++) #define per2(i, l, r) for (int i = (r)-1; i >= (l); i--) #define each(e, v) for (auto &e : v) #define MM << " " << #define pb push_back #define eb emplace_back #define all(x) begin(x), end(x) #define rall(x) rbegin(x), rend(x) #define sz(x) (int)x.size() using ll = long long; using pii = pair; using pil = pair; using pli = pair; using pll = pair; template using minheap = priority_queue, greater>; template using maxheap = priority_queue; 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 Fast_Fourier_Transform { using comp = complex; static double pi; static vector r, ir; Fast_Fourier_Transform() {} static void init() { if (!r.empty()) return; r.resize(30), ir.resize(30); for (int i = 0; i < 30; i++) { r[i] = -polar(1.0, pi / (1 << (i + 1))); // r[i] := 1 の 2^(i+2) 乗根 ir[i] = -polar(1.0, -pi / (1 << (i + 1))); // ir[i] := 1/r[i] } } static vector to_comp(vector a) { vector ret(a.size()); for (int i = 0; i < (int)a.size(); i++) ret[i] = comp(a[i], 0.0); return ret; } static vector to_T(vector a) { vector ret(a.size(), 0); for (int i = 0; i < (int)a.size(); i++) ret[i] = a[i].real() + 0.1; // 整数の場合、誤差をケア // for(int i = 0; i < (int)a.size(); i++) ret[i] = a[i].real(); // 小数の場合 return ret; } static void fft(vector &a) { init(); int n = a.size(); assert((n & (n - 1)) == 0); for (int k = n; k >>= 1;) { comp w = 1; for (int s = 0, t = 0; s < n; s += 2 * k) { for (int i = s, j = s + k; i < s + k; i++, j++) { comp x = a[i], y = w * a[j]; a[i] = x + y, a[j] = x - y; } w *= r[__builtin_ctz(++t)]; } } } static void ifft(vector &a) { init(); int n = a.size(); assert((n & (n - 1)) == 0); a.resize(n); for (int k = 1; k < n; k <<= 1) { comp w = 1; for (int s = 0, t = 0; s < n; s += 2 * k) { for (int i = s, j = s + k; i < s + k; i++, j++) { comp x = a[i], y = a[j]; a[i] = x + y, a[j] = w * (x - y); } w *= ir[__builtin_ctz(++t)]; } } for (auto &e : a) e /= n; } static vector convolve(vector a, vector b) { int k = (int)a.size() + (int)b.size() - 1, n = 1; while (n < k) n <<= 1; vector A = to_comp(a), B = to_comp(b); A.resize(n), B.resize(n); fft(A), fft(B); for (int i = 0; i < n; i++) A[i] *= B[i]; ifft(A); vector c = to_T(A); c.resize(k); return c; } }; template double Fast_Fourier_Transform::pi = acos(-1.0); template vector> Fast_Fourier_Transform::r = vector>(); template vector> Fast_Fourier_Transform::ir = vector>(); using FFT = Fast_Fourier_Transform; struct Suffix_Array { vector sa; const string s; const int n; Suffix_Array(const string &s) : s(s), n(s.size()) { sa.resize(n); iota(begin(sa), end(sa), 0); sort(begin(sa), end(sa), [&](int a, int b) { return s[a] == s[b] ? a > b : s[a] < s[b]; }); vector rank(n), c(begin(s), end(s)), cnt(n); for (int len = 1; len < n; len <<= 1) { for (int i = 0; i < n; i++) { if (i == 0 || c[sa[i - 1]] != c[sa[i]]) rank[sa[i]] = i; else { if (sa[i - 1] + len >= n || c[sa[i - 1] + len / 2] != c[sa[i] + len / 2]) { rank[sa[i]] = i; } else { rank[sa[i]] = rank[sa[i - 1]]; } } } iota(begin(cnt), end(cnt), 0); copy(begin(sa), end(sa), c.begin()); for (int i = 0; i < n; i++) { int j = c[i] - len; if (j >= 0) sa[cnt[rank[j]]++] = j; } swap(rank, c); } } int operator[](int i) const { return sa[i]; } int size() const { return n; } bool compare_substr(const string &t, int si = 0, int ti = 0) const { int m = t.size(); while (si < n && ti < m) { if (s[si] != t[ti]) return s[si] < t[ti]; si++, ti++; } return si == n && ti < m; } // 辞書順で t 以降となるもので最初の接尾辞 int lower_bound(const string &t) const { int l = -1, r = n; while (r - l > 1) { int m = (l + r) / 2; (compare_substr(t, sa[m]) ? l : r) = m; } return r; } int upper_bound(string t) const { t.back()++; return lower_bound(t); } }; struct Longest_Common_Prefix_Array { vector rank, lcp; const Suffix_Array sa; const int n; Longest_Common_Prefix_Array(const Suffix_Array &sa) : sa(sa), n(sa.size()) { rank.resize(n), lcp.resize(n - 1); for (int i = 0; i < n; i++) rank[sa[i]] = i; int h = 0; for (int i = 0; i < n; i++) { if (rank[i] + 1 < n) { int j = sa[rank[i] + 1]; while (max(i, j) + h < n && sa.s[i + h] == sa.s[j + h]) h++; lcp[rank[i]] = h; if (h > 0) h--; } } } int operator[](int i) const { return lcp[i]; } }; template struct Segment_Tree { using M = typename Monoid::V; int n, m; vector seg; // f(f(a,b),c) = f(a,f(b,c)), f(e1,a) = f(a,e1) = a Segment_Tree(const vector &v) : n(v.size()) { m = 1; while (m < n) m <<= 1; seg.assign(2 * m, Monoid::id); copy(begin(v), end(v), begin(seg) + m); for (int i = m - 1; i > 0; i--) seg[i] = Monoid::merge(seg[2 * i], seg[2 * i + 1]); } Segment_Tree(int n, const M &x) : Segment_Tree(vector(n, x)) {} void update(int i, const M &x, bool apply = false) { seg[i + m] = apply ? Monoid::merge(seg[i + m], x) : x; i += m; while (i >>= 1) seg[i] = Monoid::merge(seg[2 * i], seg[2 * i + 1]); } M query(int l, int r) const { l = max(l, 0), r = min(r, n); M L = Monoid::id, R = Monoid::id; l += m, r += m; while (l < r) { if (l & 1) L = Monoid::merge(L, seg[l++]); if (r & 1) R = Monoid::merge(seg[--r], R); l >>= 1, r >>= 1; } return Monoid::merge(L, R); } M operator[](int i) const { return seg[i + m]; } template int find_subtree(int i, const C &check, M &x, int type) const { while (i < m) { M nxt = type ? Monoid::merge(seg[2 * i + type], x) : Monoid::merge(x, seg[2 * i + type]); if (check(nxt)) { i = 2 * i + type; } else { x = nxt; i = 2 * i + (type ^ 1); } } return i - m; } // check(区間 [l,r] での演算結果) を満たす最小の r (存在しなければ n) template int find_first(int l, const C &check) const { M L = Monoid::id; int a = l + m, b = 2 * m; while (a < b) { if (a & 1) { M nxt = Monoid::merge(L, seg[a]); if (check(nxt)) return find_subtree(a, check, L, 0); L = nxt; a++; } a >>= 1, b >>= 1; } return n; } // check((区間 [l,r) での演算結果)) を満たす最大の l (存在しなければ -1) template int find_last(int r, const C &check) const { M R = Monoid::id; int a = m, b = r + m; while (a < b) { if ((b & 1) || a == 1) { M nxt = Monoid::merge(seg[--b], R); if (check(nxt)) return find_subtree(b, check, R, 1); R = nxt; } a >>= 1, b >>= 1; } return -1; } }; // sum template struct Plus_Monoid { using V = T; static constexpr V merge(V l, V r) { return l + r; }; static const V id; }; template const T Plus_Monoid::id = 0; // min template struct Min_Monoid { using V = T; static constexpr V merge(V l, V r) { return min(l, r); }; static const V id; }; template const T Min_Monoid::id = numeric_limits::max(); // max template struct Max_Monoid { using V = T; static constexpr V merge(V l, V r) { return max(l, r); }; static const V id; }; template const T Max_Monoid::id = numeric_limits::min(); // min count (T:最大値の型、S:個数の型) template struct Min_Count_Monoid { using V = pair; static constexpr V merge(V l, V r) { if (l.first < r.first) return l; if (l.first > r.first) return r; return V(l.first, l.second + r.second); } static const V id; }; template const pair Min_Count_Monoid::id = make_pair(numeric_limits::max(), 0); // max count (T:最大値の型、S:個数の型) template struct Max_Count_Monoid { using V = pair; static constexpr V merge(V l, V r) { if (l.first > r.first) return l; if (l.first < r.first) return r; return V(l.first, l.second + r.second); } static const V id; }; template const pair Max_Count_Monoid::id = make_pair(numeric_limits::min(), 0); // 一次関数 ax+b の合成 (左から順に作用) template struct Affine_Monoid { using V = pair; static constexpr V merge(V l, V r) { return V(l.first * r.first, l.second * r.first + r.second); }; static const V id; }; template const pair Affine_Monoid::id = make_pair(1, 0); // モノイドの直積 template struct Cartesian_Product_Monoid { using V1 = typename Monoid_1::V; using V2 = typename Monoid_2::V; using V = pair; static constexpr V merge(V l, V r) { return V(Monoid_1::merge(l.first, r.first), Monoid_2::merge(l.second, r.second)); } static const V id; }; template const pair Cartesian_Product_Monoid::id = make_pair(Monoid_1::id, Monoid_2::id); // range add range min template struct Min_Plus_Acted_Monoid { using Monoid = Min_Monoid; using Operator = Plus_Monoid; using M = T; using O = T; static constexpr M merge(M l, O r) { return l + r; }; }; // range add range max template struct Max_Plus_Acted_Monoid { using Monoid = Max_Monoid; using Operator = Plus_Monoid; using M = T; using O = T; static constexpr M merge(M l, O r) { return l + r; }; }; // range add range min count (T:最小値の型、S:個数の型) template struct Min_Count_Add_Acted_Monoid { using Monoid = Min_Count_Monoid; using Operator = Plus_Monoid; using M = pair; using O = T; static constexpr M merge(M l, O r) { return make_pair(l.first + r, l.second); }; }; // range add range max count (T:最大値の型、S:個数の型) template struct Max_Count_Add_Acted_Monoid { using Monoid = Max_Count_Monoid; using Operator = Plus_Monoid; using M = pair; using O = T; static constexpr M merge(M l, O r) { return make_pair(l.first + r, l.second); }; }; // range affine range sum template struct Plus_Affine_Acted_Monoid { using Monoid = Cartesian_Product_Monoid, Plus_Monoid>; using Operator = Affine_Monoid; using M = pair; using O = pair; static constexpr M merge(M l, O r) { return M(r.first * l.first + r.second * l.second, l.second); }; }; void solve() { int N, M; string S, T; cin >> N >> M >> S >> T; vector f0(N), f1(N), f2(N), g0(M), g1(M), g2(M); rep(i, N) { int c = (S[i] == '?' ? 0 : S[i] - 'a' + 1); f0[i] = (c == 0 ? 0 : 1); f1[i] = f0[i] * c; f2[i] = f1[i] * c; } rep(i, M) { int c = (T[i] == '?' ? 0 : T[i] - 'a' + 1); g0[M - 1 - i] = (c == 0 ? 0 : 1); g1[M - 1 - i] = g0[M - 1 - i] * c; g2[M - 1 - i] = g1[M - 1 - i] * c; } auto h0 = FFT::convolve(f0, g2); auto h1 = FFT::convolve(f1, g1); auto h2 = FFT::convolve(f2, g0); vector ng(N - M + 1, 0); rep(i, N - M + 1) { ng[i] = h0[i + M - 1] - 2 * h1[i + M - 1] + h2[i + M - 1]; // } rep(i, N) { if (S[i] == '?') S[i] = 'a'; } string X = S + '$' + T; Suffix_Array sa(X); vector rank(N + M + 1); rep(i, N + M + 1) rank[sa[i]] = i; Longest_Common_Prefix_Array lcp(sa); vector v(N + M); rep(i, N + M) v[i] = lcp[i]; Segment_Tree> seg(v); auto comp = [&](int i, int j) { if (i > j) swap(i, j); int d = j - i; if (d >= M) { int l = rank[i], r = rank[N + 1]; if (l > r) swap(l, r); return (seg.query(l, r) == M ? i : j); } { int l = rank[i], r = rank[N + 1]; if (l > r) swap(l, r); int x = seg.query(l, r); if (x < d) { if (T[x] < S[i + x]) return i; return j; } } int l = rank[N + 1 + d], r = rank[N + 1]; if (l > r) swap(l, r); int x = seg.query(l, r); if (x < M - d) { if (T[d + x] < T[x]) return i; return j; } return i; }; int id = -1; rep(i, N - M + 1) { if (ng[i] == 0) { if (id == -1) { id = i; } else { id = comp(id, i); } } } if (id == -1) { cout << "-1\n"; return; } rep(j, M) S[id + j] = T[j]; cout << S << '\n'; } int main() { int T; cin >> T; while (T--) solve(); }