#ifndef CLASS_MODINT #define CLASS_MODINT #include template class modint { private: std::uint32_t n; public: modint() : n(0) {}; modint(std::int64_t n_) : n((n_ >= 0 ? n_ : mod - (-n_) % mod) % mod) {}; static constexpr std::uint32_t get_mod() { return mod; } std::uint32_t get() const { return n; } bool operator==(const modint& m) const { return n == m.n; } bool operator!=(const modint& m) const { return n != m.n; } modint& operator+=(const modint& m) { n += m.n; n = (n < mod ? n : n - mod); return *this; } modint& operator-=(const modint& m) { n += mod - m.n; n = (n < mod ? n : n - mod); return *this; } modint& operator*=(const modint& m) { n = std::uint64_t(n) * m.n % mod; return *this; } modint operator+(const modint& m) const { return modint(*this) += m; } modint operator-(const modint& m) const { return modint(*this) -= m; } modint operator*(const modint& m) const { return modint(*this) *= m; } modint inv() const { return (*this).pow(mod - 2); } modint pow(std::uint64_t b) const { modint ans = 1, m = modint(*this); while (b) { if (b & 1) ans *= m; m *= m; b >>= 1; } return ans; } }; #endif // CLASS_MODINT #ifndef CLASS_DISJOINT_SET #define CLASS_DISJOINT_SET #include #include #include #include class disjoint_set { private: typedef std::int32_t value_type; std::vector val; public: explicit disjoint_set() : val() {}; explicit disjoint_set(std::size_t n) : val(n, -1) {}; std::size_t size() const { return val.size(); } std::size_t size(std::size_t elem) { return std::size_t(-val[root(elem)]); } std::size_t root(std::size_t elem) { // path halving while (val[elem] >= 0 && val[val[elem]] >= 0) { val[elem] = val[val[elem]]; elem = val[elem]; } return std::size_t(val[elem] >= 0 ? val[elem] : elem); } void link(std::size_t elemx, std::size_t elemy) { elemx = root(elemx); elemy = root(elemy); if (elemx == elemy) return; if (val[elemx] > val[elemy]) { std::swap(elemx, elemy); } val[elemx] += val[elemy]; val[elemy] = elemx; } bool connected(std::size_t elemx, std::size_t elemy) { return root(elemx) == root(elemy); } }; #endif // CLASS_DISJOINT_SET #include using namespace std; using mint = modint<1000000007>; int main() { int Q; cin >> Q; while (Q--) { int N, C; cin >> N >> C; mint ans = 0; for (int i = 0; i < 2 * N; ++i) { disjoint_set uf(2 * N); for (int j = 0; j < 2 * N; ++j) { int ctr = j / N * N + (j + i) % N; if (i >= N) { ctr = 2 * N - 1 - ctr; } uf.link(j, ctr); } vector s; for (int j = 0; j < 2 * N; ++j) { s.push_back(uf.root(j)); } sort(s.begin(), s.end()); s.erase(unique(s.begin(), s.end()), s.end()); ans += mint(C).pow(s.size()); } ans *= mint(2 * N).inv(); cout << ans.get() << endl; } return 0; }