#include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include using namespace std; /* #include using namespace atcoder; using mf_edge = mf_graph::edge; */ /* #pragma GCC target("avx") #pragma GCC optimize("O3") #pragma GCC optimize("unroll-loops") #pragma GCC target("sse,sse2,sse3,ssse3,sse4,popcnt,abm,mmx,avx,tune=native") */ #define endl "\n" #define ALL(v) v.begin(),v.end() #define m_p make_pair #define m_t make_tuple #define rep(i,n) for(int i=0; i<(int) (n); i++) using P = pair; using ld = long double; using ll = long long; using VI = vector; using time_point = chrono::system_clock::time_point; template using invPQ = priority_queue, greater>; template using PQ = priority_queue; constexpr double pai = 3.1415926535897; constexpr int INF = 1000000021; constexpr long long LINF = 2000000000000000000; const long long mod = 1000000007; const long long MOD = mod; constexpr double PI = 3.1415926; const vector ver = { 1,0,-1,0 }, sid{ 0,1,0,-1 }; struct edge { int to, cost; }; edge m_e(int xx, int yy) { edge ed; ed.to = xx; ed.cost = yy; return ed; } templatevoid vecin(vector& v) { for (int i = 0; i < (int)v.size(); i++) cin >> v[i]; } templatebool chmax(T& xx, T yy) { if (xx < yy) { xx = yy; return true; }return false; } templatebool chmin(T& xx, T yy) { if (xx > yy) { xx = yy; return true; }return false; } //x未満の要素数を返す二分探索関数 int b_s(vector& vec, int xx) { return lower_bound(ALL(vec), xx) - vec.begin(); } int gcd(int xx, int yy) { if (yy > xx)swap(xx, yy); while (xx % yy != 0) { xx %= yy; swap(xx, yy); } return yy; } int lcm(int xx, int yy) { return (xx / gcd(xx, yy)) * yy; } bool prime(int xx) {//O(sqrt(N)) if (xx <= 1)return 0; for (int i = 2; i * i <= xx; i++) { if (xx % i == 0)return 0; } return 1; } constexpr int MAX = 1010000; long long fac[MAX], finv[MAX], inv[MAX]; // テーブルを作る前処理 void COMinit() { fac[0] = fac[1] = 1; finv[0] = finv[1] = 1; inv[1] = 1; for (int i = 2; i < MAX; i++) { fac[i] = fac[i - 1] * i % MOD; inv[i] = MOD - inv[MOD % i] * (MOD / i) % MOD; finv[i] = finv[i - 1] * inv[i] % MOD; } } //n個を1個以上のx組のグループに分ける重複組み合わせはcom(n-1,x-1) long long COM(int n, int k) { if (n < k) return 0; if (n < 0 || k < 0) return 0; return fac[n] * (finv[k] * finv[n - k] % MOD) % MOD; } ll PER(int n, int k) { if (n < 0 || k < 0) return 0; if (n < k) return fac[n]; return fac[n] * finv[n - k] % mod; } long long modinv(long long a, long long m) {//a*u≡1(mod m) long long b = m, u = 1, v = 0; while (b) { long long t = a / b; a -= t * b; swap(a, b); u -= t * v; swap(u, v); } u %= m; if (u < 0) u += m; return u; } std::random_device seed_gen; std::mt19937 engine(seed_gen()); class xorshift { uint64_t seed; public: xorshift() { seed = (uint64_t(seed_gen()) << 32) + seed_gen(); } inline uint64_t get64() { seed ^= (seed << 13); seed ^= (seed >> 7); return seed ^= (seed << 17); } inline uint32_t operator()() { return get64(); } inline uint32_t operator()(uint32_t r) { return get64() % r; } inline int operator()(int mi, int ma) { return mi + operator()(ma - mi); } inline double prob() { return double(operator()()) / 0xffffffff; } }myrand; time_point start_time; void get_time(chrono::system_clock::time_point& x) { x = chrono::system_clock::now(); } int my_clock(chrono::system_clock::time_point start) { return static_cast(chrono::duration_cast(chrono::system_clock::now() - start).count()); } int main() { COMinit(); int T, H, W; cin >> T; rep(i, T) { cin >> H >> W; int ans = 2ll * ll(H + W - 3) * COM(H + W - 4, H - 2) % mod; if (ans < 0)ans += mod; cout << ans << endl; } }