#include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include using ll = long long; using namespace std; template bool chmin(A &a, const B b) { if (a <= b) return false; a = b; return true; } template bool chmax(A &a, const B b) { if (a >= b) return false; a = b; return true; } #ifndef LOCAL #define debug(...) ; #else #define debug(...) cerr << __LINE__ << " : " << #__VA_ARGS__ << " = " << _tostr(__VA_ARGS__) << endl; template ostream &operator<<(ostream &out, const vector &v); template ostream &operator<<(ostream &out, const pair &p) { out << "{" << p.first << ", " << p.second << "}"; return out; } template ostream &operator<<(ostream &out, const vector &v) { out << '{'; for (const T &item : v) out << item << ", "; out << "\b\b}"; return out; } void _tostr_rec(ostringstream &oss) { oss << "\b\b \b"; } template void _tostr_rec(ostringstream &oss, Head &&head, Tail &&...tail) { oss << head << ", "; _tostr_rec(oss, forward(tail)...); } template string _tostr(T &&...args) { ostringstream oss; int size = sizeof...(args); if (size > 1) oss << "{"; _tostr_rec(oss, forward(args)...); if (size > 1) oss << "}"; return oss.str(); } #endif constexpr int mod = 1'000'000'007; //1e9+7(prime number) constexpr int INF = 1'000'000'000; //1e9 constexpr ll LLINF = 2'000'000'000'000'000'000LL; //2e18 constexpr int SIZE = 200010; vector factmemo, factmemoInv; ll factmemoMod = -1; ll factorial(int n, int M) { if (factmemoMod == M) return factmemo[n]; if (n <= 1) return 1; ll res = 1; for (int i = 1; i <= n; i++) res = res * i % M; return res; } ll power(ll k, ll n, int M) { ll res = 1; for (; n; n /= 2) { if (n & 1) res = res * k % M; k = k * k % M; } return res; } void initFactorial(int n, int M) { assert(factmemoMod == -1 || factmemoMod == M); int prevSize = factmemo.size(); factmemoMod = M; factmemo.resize(max(prevSize, n + 1), 0); factmemoInv.resize(max(prevSize, n + 1), 0); factmemo[0] = 1; for (int i = max(1, prevSize); i <= n; i++) factmemo[i] = factmemo[i - 1] * i % M; if (prevSize <= n) factmemoInv[n] = power(factmemo[n], M - 2, M); for (int i = n; i > prevSize; i--) factmemoInv[i - 1] = factmemoInv[i] * i % M; } //nCm nPm nHm (mod M) /*Combination*/ ll C(int n, int m, int M) { if (n < m) return 0; if (m == 0 || n == m) return 1; if (factmemoMod == M || factmemoMod == -1) initFactorial(max(n, m), M); if (factmemoMod == M) return factmemo[n] * factmemoInv[m] % M * factmemoInv[n - m] % M; ll numer = factorial(n, M); ll denom = factorial(m, M) * factorial(n - m, M) % M; denom = power((int)denom, M - 2, M); return numer * denom % M; } /*Permutation*/ ll P(int n, int m, int M) { if (n < m) return 0; if (m == 0) return 1; if (factmemoMod == M || factmemoMod == -1) initFactorial(max(n, m), M); if (factmemoMod == M) return factmemo[n] * factmemoInv[n - m] % M; ll numer = factorial(n, M); ll denom = factorial(n - m, M); denom = power((int)denom, M - 2, M); return numer * denom % M; } /*Combination with Repetitions*/ ll H(int n, int m, int M) { if (n == 0 && m == 0) return 1; return C(n + m - 1, m, M); } void solve() { int H, W; scanf("%d%d", &H, &W); H--; W--; ll ans = C(H + W - 2, H - 1, mod) * (ll)(H + W - 1) * 2; if (H == 0 || W == 0) { ans = 0; } printf("%lld\n", ans % mod); } int main() { int T; scanf("%d", &T); while (T--) { solve(); } return 0; }