#include using namespace std; using ll = long long; using ld = long double; template using V = vector; using VI = V; using VL = V; using VS = V; template using PQ = priority_queue, greater>; using graph = V; template using w_graph = V>>; #define FOR(i,a,n) for(int i=(a);i<(n);++i) #define eFOR(i,a,n) for(int i=(a);i<=(n);++i) #define rFOR(i,a,n) for(int i=(n)-1;i>=(a);--i) #define erFOR(i,a,n) for(int i=(n);i>=(a);--i) #define all(a) a.begin(),a.end() #define rall(a) a.rbegin(),a.rend() #define out(y,x) ((y)<0||h<=(y)||(x)<0||w<=(x)) #ifdef _DEBUG #define line cout << "-----------------------------\n" #define stop system("pause") #endif constexpr ll INF = 1000000000; constexpr ll LLINF = 1LL << 60; constexpr ll mod = 1000000007; constexpr ll MOD = 998244353; constexpr ld eps = 1e-10; templateinline bool chmax(T& a, const T& b) { if (a < b) { a = b; return true; }return false; } templateinline bool chmin(T& a, const T& b) { if (a > b) { a = b; return true; }return false; } inline void init() { cin.tie(nullptr); cout.tie(nullptr); ios::sync_with_stdio(false); cout << fixed << setprecision(15); } templateinline istream& operator>>(istream& is, V& v) { for (auto& a : v)is >> a; return is; } templateinline istream& operator>>(istream& is, pair& p) { is >> p.first >> p.second; return is; } templateinline V vec(size_t a) { return V(a); } templateinline V defvec(T def, size_t a) { return V(a, def); } templateinline auto vec(size_t a, Ts... ts) { return V(ts...))>(a, vec(ts...)); } templateinline auto defvec(T def, size_t a, Ts... ts) { return V(def, ts...))>(a, defvec(def, ts...)); } templateinline void print(const T& a) { cout << a << "\n"; } templateinline void print(const T& a, const Ts&... ts) { cout << a << " "; print(ts...); } templateinline void print(const V& v) { for (int i = 0; i < v.size(); ++i)cout << v[i] << (i == v.size() - 1 ? "\n" : " "); } templateinline void print(const V>& v) { for (auto& a : v)print(a); } templateinline T sum(const V& a, int l, int r) { return a[r] - (l == 0 ? 0 : a[l - 1]); } templateinline void END(T s) { print(s); exit(0); } void END() { exit(0); } class combination { int n; ll c_mod; VL fac, finv, inv; public: combination(int n, ll c_mod) : n(n), c_mod(c_mod), fac(n), finv(n), inv(n) { fac[0] = fac[1] = 1; finv[0] = finv[1] = 1; inv[1] = 1; FOR(i, 2, n) { fac[i] = fac[i - 1] * i % c_mod; inv[i] = c_mod - inv[c_mod % i] * (c_mod / i) % c_mod; finv[i] = finv[i - 1] * inv[i] % c_mod; } } ll operator()(int n, int k) { if (n < k) return 0; if (n < 0 || k < 0) return 0; return fac[n] * (finv[k] * finv[n - k] % c_mod) % c_mod; } }; #include using mint = atcoder::modint1000000007; int main() { init(); int t; cin >> t; combination com(500000, mod); while (t--) { int h, w; cin >> h >> w; mint ans = 0; if (h + w - 4 >= 0 && h - 2 >= 0) { ans += mint(h + w - 3) * 2 * com(h + w - 4, h - 2); } print(ans.val()); } return 0; }