/* Problem URL: https://codeforces.com/contest/691/problem/E */ #include #include #include using namespace std; using namespace __gnu_pbds; template > using ordered_set = tree; #define V vector #define rmin(a, b) a = min(a, b) #define rmax(a, b) a = max(a, b) #define rep(i, lim) for (int i = 0; i < (lim); i++) #define nrep(i, s, lim) for (int i = s; i < (lim); i++) #define repv(i, v) for (auto &i : (v)) #define fillv(v) for (auto &itr_ : (v)) { cin >> itr_; } #define sortv(v) sort(v.begin(), v.end()) #define all(v) (v).begin(), (v).end() using vi = vector; using vvi = vector; using vvvi = vector; using vvvvi = vector; using ll = long long; using vl = vector; using vvl = vector; using vvvl = vector; using vvvvl = vector; template auto operator<<(ostream &os, const vector &vec)->ostream& { os << vec[0]; for (size_t i = 1; i < vec.size(); i++) { os << ' ' << vec[i]; } os << '\n'; return os; } template auto operator>>(istream &is, vector &vec)->istream& { for (auto &i : vec) { is >> i; } return is; } template auto operator<<(ostream &os, const vector> &vec)->ostream& { for (auto &i : vec) { os << i[0]; for (size_t j = 1; j < i.size(); j++) { os << ' ' << i[j]; } os << '\n'; } return os; } template auto operator>>(istream &is, vector> &vec)->istream& { for (auto &i : vec) { for (auto &j : i) { is >> j; } } return is; } const int oo = INT32_MAX >> 1; const ll OO = INT64_MAX >> 1; void pre() { } #define TEST 0 void solve() { int n; ll k; cin >> n >> k; vl a(n); cin >> a; ll mod = 1e9 + 7; vvl adj(n, vl(n)); rep(i, n) { adj[i][i] = 1; } rep(i, n - 1) { nrep(j, i + 1, n) { if (__builtin_popcountll(a[i] ^ a[j]) % 3 == 0) { adj[i][j] = 1; adj[j][i] = 1; } } } auto mul = [&](vvl &a, vvl &b) { vvl c(a.size(), vl(b[0].size())); rep(i, c.size()) { rep(j, c[0].size()) { rep(k, b.size()) { c[i][j] = (c[i][j] + a[i][k] * b[k][j] % mod) % mod; } } } return c; }; k--; auto fpow = [&]() { vvl ans(n, vl(n)); rep(i, n) { ans[i][i] = 1; } rep(i, 61) { if ((k >> i) & 1) { ans = mul(ans, adj); } adj = mul(adj, adj); } return ans; }; auto vet = fpow(); ll ans = 0; rep(i, n) { rep(j, n) { ans = (ans + vet[i][j]) % mod; } } cout << ans << '\n'; } int main() { ios::sync_with_stdio(false); cin.tie(nullptr); pre(); int t; (TEST && cin >> t) || (t = 1); while (t--) { solve(); } }