#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; using mint = modint; } int main() { ios::sync_with_stdio(false); cin.tie(0); int tt; cin >> tt; while(tt--) { int n, m; cin >> n >> m; mint::set_mod(1 << m); vector a(n); for(mint& x: a) { int xi; cin >> xi; x = xi; } vector b; if (n > 33) { b.assign(33, mint()); const int t = n - 33; vector comb(t + 1); { mint p = 1, q = 1; int c2 = 0; for(int k = 0; k <= t; k++) { comb[k] = p / q * mint::raw(2).pow(c2); if (k < t) { int x = t - k, y = k + 1; while(x % 2 == 0) x /= 2, c2++; while(y % 2 == 0) y /= 2, c2--; p *= x; q *= y; } } } rep(i, n) { rep(j, 33) { int k = i - j; if (0 <= k && k <= t) b[j] += comb[k] * a[i]; } } swap(a, b); } while(a.size() != 1) { int n = a.size(); b.resize(n - 1); rep(i, n - 1) { mint v = a[i] + a[i+1]; b[i] = v * v; } swap(a, b); } cout << a[0].val() << '\n'; } }