#include namespace { #pragma GCC diagnostic ignored "-Wunused-function" #include #pragma GCC diagnostic warning "-Wunused-function" 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) begin(x), end(x) #define rall(x) rbegin(x), rend(x) template bool chmax(T& a, const T& b) { if (a < b) { a = b; return true; } else return false; } template bool chmin(T& a, const T& b) { if (b < a) { a = b; return true; } else return false; } using ll = long long; using P = pair; using VI = vector; using VVI = vector; using VL = vector; using VVL = vector; template struct DisjointSparseTable { const int n; const vector msb; const vector> d; DisjointSparseTable(vector a) : n(a.size()), msb(build_msb_table(n)), d(build_table(move(a))) {} vector build_msb_table(int n) { if (n <= 1) return {}; unsigned char k_max = 32 - __builtin_clz(n - 1); vector res(1 << k_max); unsigned char* p = res.data(); for (unsigned char k = 0; k < k_max; k++) { memset(p + (1U << k), k, 1U << k); } return res; } vector> build_table(vector a) { const int n = a.size(); vector> res(1); if (n >= 2) { const int i_max = n - 1, k_max = 32 - __builtin_clz(i_max); res.resize(k_max); for (int k = 1; k < k_max; k++) { vector t(i_max >> k & 1 ? n : i_max & ~0U << k); for (int c = 1 << k; c < n; c += 1 << (k + 1)) { int l = c - (1 << k); int r = min(n, c + (1 << k)); t[c - 1] = a[c - 1]; for (int i = c - 2; i >= l; i--) t[i] = op(a[i], t[i + 1]); t[c] = a[c]; for (int i = c + 1; i < r; i++) t[i] = op(t[i - 1], a[i]); } res[k] = move(t); } } res[0] = move(a); return res; } S query(int l, int r) { return query_closed(l, r - 1); } S query_closed(int l, int r) { assert(0 <= l && l <= r && r < n); if (l == r) return d[0][l]; auto k = msb[l ^ r]; return op(d[k][l], d[k][r]); } }; int op(int x, int y) { return min(x, y); } } int main() { ios::sync_with_stdio(false); cin.tie(0); int tt; cin >> tt; while(tt--) { int n, m; cin >> n >> m; string s, t; cin >> s >> t; reverse(all(t)); VL a(n), b(m); rep(i, n) a[i] = s[i] == '?' ? 0 : s[i] - 'a' + 1; rep(j, m) b[j] = t[j] - 'a' + 1; VL a2(n), b2(m); rep(i, n) a2[i] = a[i] * a[i]; rep(j, m) b2[j] = b[j] * b[j]; VL f1 = convolution_ll(a2, b); VL f2 = convolution_ll(a, b2); VL s3(n + 1); rep(i, n) s3[i + 1] = s3[i] + a[i] * a[i] * a[i]; vector d(n); rep(i, n - m + 1) { int p = m - 1 + i; ll x = s3[i + m] - s3[i] - 2 * f1[p] + f2[p]; d[i] = x == 0; } reverse(all(t)); rep(i, n) if (s[i] == '?') s[i] = 'a'; string st = s + '$' + t; int nm = n + m + 1; assert(st.size() == nm); VI sa = suffix_array(st); VI sa_inv(nm); for (int i = 0; i < nm; i++) sa_inv[sa[i]] = i; DisjointSparseTable dst(lcp_array(st, sa)); auto lcp = [&](int i, int j) { if (i == j) return n - i; int pi = sa_inv[i], pj = sa_inv[j]; if (pi > pj) swap(pi, pj); return dst.query(pi, pj); }; VI idx; rep(i, n) if (d[i]) idx.emplace_back(i); if (idx.empty()) { cout << -1 << '\n'; continue; } auto cmp_sub = [&](int i, int j) { assert(i < j); // s[n+1, n+m+1) + s[i+m, j+m) // s[i, j) + s[n+1, n+m+1) int pos1[2]{n + 1, i + m}; int len1[2]{m, j - i}; int pos2[2]{i, n + 1}; int len2[2]{j - i, m}; int p1 = 0, p2 = 0; int l1 = 0, l2 = 0; while(p1 != 2) { int l = lcp(pos1[p1] + l1, pos2[p2] + l2); if (l1 + l < len1[p1] && l2 + l < len2[p2]) { int q1 = pos1[p1] + l1 + l; int q2 = pos2[p2] + l2 + l; return st[q1] < st[q2] ? -1 : 1; } chmin(l, min(len1[p1] - l1, len2[p2] - l2)); l1 += l; l2 += l; if (l1 >= len1[p1]) p1++, l1 = 0; if (l2 >= len2[p2]) p2++, l2 = 0; } return 0; }; int i0 = *min_element(all(idx), [&](int i, int j) { bool flip = i > j; if (flip) swap(i, j); int res = cmp_sub(i, j); if (flip) res = -res; return res < 0; }); rep(j, m) s[i0 + j] = t[j]; cout << s << '\n'; } }