#include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include using namespace std; #define int long long #define ii pair #define app push_back #define all(a) a.begin(), a.end() #define bp __builtin_popcountll #define ll long long #define mp make_pair #define x first #define y second #define Time (double)clock()/CLOCKS_PER_SEC #define debug(x) std::cerr << #x << ": " << x << '\n'; #define FORI(i,a,b) for (int i = (a); i < (b); ++i) #define FOR(i,a) FORI(i,0,a) #define ROFI(i,a,b) for (int i = (b)-1; i >= (a); --i) #define ROF(i,a) ROFI(i,0,a) #define rep(a) FOR(_,a) #define each(a,x) for (auto& a: x) #define FORN(i, n) FORI(i, 1, n + 1) using vi = vector; template std::istream& operator >>(std::istream& input, std::pair & data) { input >> data.x >> data.y; return input; } template std::istream& operator >>(std::istream& input, std::vector& data) { for (T& x : data) input >> x; return input; } template std::ostream& operator <<(std::ostream& output, const pair & data) { output << "(" << data.x << "," << data.y << ")"; return output; } template std::ostream& operator <<(std::ostream& output, const std::vector& data) { for (const T& x : data) output << x << " "; return output; } ll div_up(ll a, ll b) { return a/b+((a^b)>0&&a%b); } // divide a by b rounded up ll div_down(ll a, ll b) { return a/b-((a^b)<0&&a%b); } // divide a by b rounded down ll math_mod(ll a, ll b) { return a - b * div_down(a, b); } #define tcT template using V = vector; tcT> bool ckmin(T& a, const T& b) { return b < a ? a = b, 1 : 0; } // set a = min(a,b) tcT> bool ckmax(T& a, const T& b) { return a < b ? a = b, 1 : 0; } ll gcd(ll a, ll b) { while (b) { tie(a, b) = mp(b, a % b); } return a; } int Bit(int mask, int bit) { return (mask >> bit) & 1; } template struct mint { static const int mod = MOD; static constexpr mint rt() { return RT; } // primitive root for FFT int v; explicit operator int() const { return v; } // explicit -> don't silently convert to int mint() { v = 0; } mint(ll _v) { v = (int)((-MOD < _v && _v < MOD) ? _v : _v % MOD); if (v < 0) v += MOD; } friend bool operator==(const mint& a, const mint& b) { return a.v == b.v; } friend bool operator!=(const mint& a, const mint& b) { return !(a == b); } friend bool operator<(const mint& a, const mint& b) { return a.v < b.v; } friend string ts(mint a) { return to_string(a.v); } mint& operator+=(const mint& m) { if ((v += m.v) >= MOD) v -= MOD; return *this; } mint& operator-=(const mint& m) { if ((v -= m.v) < 0) v += MOD; return *this; } mint& operator*=(const mint& m) { v = (int)((ll)v*m.v%MOD); return *this; } mint& operator/=(const mint& m) { return (*this) *= inv(m); } friend mint pow(mint a, ll p) { mint ans = 1; assert(p >= 0); for (; p; p /= 2, a *= a) if (p&1) ans *= a; return ans; } mint & operator ^=(const int &p) { return (*this) = pow(this, p); } friend mint inv(const mint& a) { assert(a.v != 0); return pow(a,MOD-2); } mint operator-() const { return mint(-v); } mint& operator++() { return *this += 1; } mint& operator--() { return *this -= 1; } friend mint operator+(mint a, const mint& b) { return a += b; } friend mint operator-(mint a, const mint& b) { return a -= b; } friend mint operator*(mint a, const mint& b) { return a *= b; } friend mint operator/(mint a, const mint& b) { return a /= b; } friend mint operator^(mint a, const int p) { return pow(a, p); } }; const int MOD = 1e9+7; typedef mint mi; // 5 is primitive root for both common mods typedef vector vmi; std::ostream& operator << (std::ostream& o, const mi& a) { cout << a.v; return o; } vector scmb; // small combinations void genComb(int SZ) { scmb.assign(SZ,vmi(SZ)); scmb[0][0] = 1; FORI(i,1,SZ) FOR(j,i+1) scmb[i][j] = scmb[i-1][j]+(j?scmb[i-1][j-1]:0); } vmi invs, fac, ifac; // make sure to convert to LL before doing any multiplications ... void genFac(int SZ) { invs.resize(SZ), fac.resize(SZ), ifac.resize(SZ); invs[1] = fac[0] = ifac[0] = 1; FORI(i,2,SZ) invs[i] = mi(-(ll)MOD/i*(int)invs[MOD%i]); FORI(i,1,SZ) { fac[i] = fac[i-1]*i; ifac[i] = ifac[i-1]*invs[i]; } } mi comb(int a, int b) { if (a < b || b < 0) return 0; assert(a < fac.size()); return fac[a]*ifac[b]*ifac[a-b]; } signed main() { #ifdef LOCAL #else #define endl '\n' ios_base::sync_with_stdio(0); cin.tie(0); #endif int t; cin >> t; const int N = 5e5+7; genFac(N); while (t--) { int n, m; cin >> n >> m; n--; m--; mi ans = (n + m - 1) * 2 * comb(n + m - 2, n - 1); cout << ans << endl; } }