#define _USE_MATH_DEFINES #include using namespace std; #define FOR(i,m,n) for(int i=(m);i<(n);++i) #define REP(i,n) FOR(i,0,n) #define ALL(v) (v).begin(),(v).end() using ll = long long; const int INF = 0x3f3f3f3f; const ll LINF = 0x3f3f3f3f3f3f3f3fLL; const double EPS = 1e-8; const int MOD = 1000000007; // const int MOD = 998244353; const int dy[] = {1, 0, -1, 0}, dx[] = {0, -1, 0, 1}; const int dy8[] = {1, 1, 0, -1, -1, -1, 0, 1}, dx8[] = {0, -1, -1, -1, 0, 1, 1, 1}; template inline bool chmax(T &a, U b) { return a < b ? (a = b, true) : false; } template inline bool chmin(T &a, U b) { return a > b ? (a = b, true) : false; } struct IOSetup { IOSetup() { cin.tie(nullptr); ios_base::sync_with_stdio(false); cout << fixed << setprecision(20); } } iosetup; int mod = MOD; struct ModInt { unsigned val; ModInt(): val(0) {} ModInt(ll x) : val(x >= 0 ? x % mod : x % mod + mod) {} ModInt pow(ll exponent) const { ModInt tmp = *this, res = 1; while (exponent > 0) { if (exponent & 1) res *= tmp; tmp *= tmp; exponent >>= 1; } return res; } ModInt &operator+=(const ModInt &x) { if((val += x.val) >= mod) val -= mod; return *this; } ModInt &operator-=(const ModInt &x) { if((val += mod - x.val) >= mod) val -= mod; return *this; } ModInt &operator*=(const ModInt &x) { val = static_cast(val) * x.val % mod; return *this; } ModInt &operator/=(const ModInt &x) { // assert(__gcd(static_cast(x.val), mod) == 1); unsigned a = x.val, b = mod; int u = 1, v = 0; while (b) { unsigned tmp = a / b; swap(a -= tmp * b, b); swap(u -= tmp * v, v); } return *this *= u; } bool operator==(const ModInt &x) const { return val == x.val; } bool operator!=(const ModInt &x) const { return val != x.val; } bool operator<(const ModInt &x) const { return val < x.val; } bool operator<=(const ModInt &x) const { return val <= x.val; } bool operator>(const ModInt &x) const { return val > x.val; } bool operator>=(const ModInt &x) const { return val >= x.val; } ModInt &operator++() { if (++val == mod) val = 0; return *this; } ModInt operator++(int) { ModInt res = *this; ++*this; return res; } ModInt &operator--() { val = (val == 0 ? mod : val) - 1; return *this; } ModInt operator--(int) { ModInt res = *this; --*this; return res; } ModInt operator+() const { return *this; } ModInt operator-() const { return ModInt(val ? mod - val : 0); } ModInt operator+(const ModInt &x) const { return ModInt(*this) += x; } ModInt operator-(const ModInt &x) const { return ModInt(*this) -= x; } ModInt operator*(const ModInt &x) const { return ModInt(*this) *= x; } ModInt operator/(const ModInt &x) const { return ModInt(*this) /= x; } friend ostream &operator<<(ostream &os, const ModInt &x) { return os << x.val; } friend istream &operator>>(istream &is, ModInt &x) { ll val; is >> val; x = ModInt(val); return is; } }; ModInt abs(const ModInt &x) { return x; } struct Combinatorics { int val; // "val!" and "mod" must be disjoint. vector fact, fact_inv, inv; Combinatorics(int val = 10000000) : val(val), fact(val + 1), fact_inv(val + 1), inv(val + 1) { fact[0] = 1; FOR(i, 1, val + 1) fact[i] = fact[i - 1] * i; fact_inv[val] = ModInt(1) / fact[val]; for (int i = val; i > 0; --i) fact_inv[i - 1] = fact_inv[i] * i; FOR(i, 1, val + 1) inv[i] = fact[i - 1] * fact_inv[i]; } ModInt nCk(int n, int k) const { if (n < 0 || n < k || k < 0) return ModInt(0); // assert(n <= val && k <= val); return fact[n] * fact_inv[k] * fact_inv[n - k]; } ModInt nPk(int n, int k) const { if (n < 0 || n < k || k < 0) return ModInt(0); // assert(n <= val); return fact[n] * fact_inv[n - k]; } ModInt nHk(int n, int k) const { if (n < 0 || k < 0) return ModInt(0); return k == 0 ? ModInt(1) : nCk(n + k - 1, k); } }; template struct Basis { vector> v; vector msb; bool add(bitset val) { int n = v.size(); if (n == D) return false; REP(i, n) { if (val[msb[i]]) val ^= v[i]; } if (val.none()) return false; int m = D - 1; while (!val[m]) --m; if (v.empty()) { v.emplace_back(val); msb.emplace_back(m); return true; } int idx = n - distance(msb.rbegin(), upper_bound(msb.rbegin(), msb.rend(), m)); v.emplace(v.begin() + idx, val); msb.emplace(msb.begin() + idx, m); for (int i = n; i > idx; --i) { if (v[idx][msb[i]]) v[idx] ^= v[i]; } for (int i = idx - 1; i >= 0; --i) { if (v[i][m]) v[i] ^= v[idx]; } return true; } bool add(ll val) { return add(bitset(val)); } int rank() const { return v.size(); } inline bool operator<(const Basis &x) const { int n = v.size(); if (n != x.v.size()) return n < x.v.size(); if (n == D) return false; REP(i, n) { if (msb[i] != x.msb[i]) return msb[i] < x.msb[i]; } REP(i, n) { if (v[i] != x.v[i]) { for (int j = msb[i] - 1; ; --j) { if (v[i][j] != x.v[i][j]) return v[i][j] < x.v[i][j]; } } } return false; } }; template struct SegmentTree { using Fn = function; SegmentTree(int sz, Fn fn, const Monoid UNITY) : fn(fn), UNITY(UNITY) { init(sz); dat.assign(n << 1, UNITY); } SegmentTree(const vector &a, Fn fn, const Monoid UNITY) : fn(fn), UNITY(UNITY) { int a_sz = a.size(); init(a_sz); dat.resize(n << 1); REP(i, a_sz) dat[i + n] = a[i]; for (int i = n - 1; i > 0; --i) dat[i] = fn(dat[i << 1], dat[(i << 1) + 1]); } void update(int node, Monoid val) { node += n; dat[node] = val; while (node >>= 1) dat[node] = fn(dat[node << 1], dat[(node << 1) + 1]); } Monoid query(int left, int right) const { Monoid l_res = UNITY, r_res = UNITY; for (left += n, right += n; left < right; left >>= 1, right >>= 1) { if (left & 1) l_res = fn(l_res, dat[left++]); if (right & 1) r_res = fn(dat[--right], r_res); } return fn(l_res, r_res); } Monoid operator[](const int idx) const { return dat[idx + n]; } private: int n = 1; Fn fn; const Monoid UNITY; vector dat; void init(int sz) { while (n < sz) n <<= 1; } }; int main() { int n, q; cin >> n >> q; vector> a(n); REP(i, n) { uint32_t ai; cin >> ai; a[i].add(ai); } auto f = [](Basis<32> a, Basis<32> b) { for (auto e : b.v) a.add(e); return a; }; SegmentTree> seg(a, f, Basis<32>()); while (q--) { int m; cin >> m; vector b(m + 2); b[0] = -1; FOR(i, 1, m + 1) cin >> b[i], --b[i]; b[m + 1] = n - 1; ModInt ans = 1; FOR(i, 1, m + 2) ans *= ModInt(2).pow(b[i] - b[i - 1] - seg.query(b[i - 1] + 1, b[i] + 1).rank()); cout << ans << '\n'; } return 0; }