#pragma GCC target("avx2") #pragma GCC optimize("O3") #pragma GCC optimize("unroll-loops") #include using namespace std; typedef long long ll; typedef long double ld; #define REP(i, n) for (int i = 0; i < (n); ++i) #define REPR(i, n) for (int i = n - 1; i >= 0; --i) #define FOR(i, m, n) for (int i = m; i < n; ++i) #define FORR(i, m, n) for (int i = m; i >= n; --i) #define ALL(v) (v).begin(),(v).end() #define ALLR(v) (v).rbegin(),(v).rend() #define SORT(v) sort(ALL(v)) #define RSORT(v) sort(ALLR(v)) #define REV(v) reverse(ALL(v)) #define UNIQUE(x) SORT(x), x.erase(unique(ALL(x)), x.end()) #define fi first #define se second #define PB push_back #define EB emplace_back using pii = pair; using pll = pair; template using vc = vector; template using vvc = vector>; template using vvvc = vector>; using vi = vc; using vl = vc; using vpi = vc; using vpl = vc; // noimi #define INT(...) int __VA_ARGS__;IN(__VA_ARGS__) #define LL(...) ll __VA_ARGS__;IN(__VA_ARGS__) #define STR(...) string __VA_ARGS__;IN(__VA_ARGS__) #define DBL(...) double __VA_ARGS__;IN(__VA_ARGS__) #define VEC(type, name, size) vector name(size);IN(name) #define VEC2(type, name1, name2, size) vector name1(size), name2(size);for(int i = 0; i < size; i++) IN(name1[i], name2[i]) #define VEC3(type, name1, name2, name3, size) vector name1(size), name2(size), name3(size);for(int i = 0; i < size; i++) IN(name1[i], name2[i], name3[i]) #define VEC4(type, name1, name2, name3, name4, size) vector name1(size), name2(size), name3(size), name4(size); for(int i = 0; i < size; i++) IN(name1[i], name2[i], name3[i], name4[i]); #define VV(type, name, h, w) vector> name(h, vector(w));IN(name) int scan() { return getchar(); } void scan(int &a) { cin >> a; } void scan(long long &a) { cin >> a; } void scan(char &a) { cin >> a; } void scan(double &a) { cin >> a; } void scan(string &a) { cin >> a; } template void scan(pair &p) { scan(p.first), scan(p.second); } template void scan(vector &); template void scan(vector &a) {for(auto &i : a) scan(i);} template void scan(T &a) { cin >> a; } void IN() {} template void IN(Head &head, Tail &...tail) {scan(head);IN(tail...);} // tute7627 template using PQ = priority_queue; template using QP = priority_queue,greater>; templatevoid stout(const T &v,ll h,ll w){for(ll i=0;ivoid stout(const T &v,ll n){for(ll i=0;ivoid stout(const vector&v){stout(v,v.size());} templatevoid stout(const vector>&v){for(auto &vv:v)stout(vv,vv.size());} templatevoid debug(const T &v,ll h,ll w){for(ll i=0;ivoid debug(const T &v,ll n){for(ll i=0;ivoid debug(const vector&v){debug(v,v.size());} templatevoid debug(const vector>&v){for(auto &vv:v)debug(vv,vv.size());} templatevoid debug(stack st){while(!st.empty()){cerr<void debug(queue st){while(!st.empty()){cerr<void debug(deque st){while(!st.empty()){cerr<void debug(PQ st){while(!st.empty()){cerr<void debug(QP st){while(!st.empty()){cerr<void debug(const set&v){for(auto z:v)cerr<void debug(const multiset&v){for(auto z:v)cerr<void debug(const array &a){for(auto z:a)cerr<void debug(const map&v){for(auto z:v)cerr<<"["<void OUT(Head&& head, Tail&&... tail){cout << head;if(sizeof...(tail)) cout << " ";OUT(move(tail)...);} void ERR() {cerr << endl;} template void ERR(Head&& head, Tail&&... tail){cerr << head;if(sizeof...(tail)) cerr << " ";ERR(move(tail)...);} void fsp(int n){cout << fixed << setprecision(n);} templatebool chmax(T &a, const T &b) { if (abool chmin(T &a, const T &b) { if (b using namespace atcoder; // using mint=modint998244353; using mint=modint1000000007; template< typename T > struct Combination { vector< T > _fact, _rfact, _inv; Combination(int sz) : _fact(sz + 1), _rfact(sz + 1), _inv(sz + 1) { _fact[0] = _rfact[sz] = _inv[0] = 1; for(int i = 1; i <= sz; i++) _fact[i] = _fact[i - 1] * i; _rfact[sz] /= _fact[sz]; for(int i = sz - 1; i >= 0; i--) _rfact[i] = _rfact[i + 1] * (i + 1); for(int i = 1; i <= sz; i++) _inv[i] = _rfact[i] * _fact[i - 1]; } inline T fact(int k) const { return _fact[k]; } inline T rfact(int k) const { return _rfact[k]; } inline T inv(int k) const { return _inv[k]; } T P(int n, int r) const { if(r < 0 || n < r) return 0; return fact(n) * rfact(n - r); } T C(int p, int q) const { if(q < 0 || p < q) return 0; return fact(p) * rfact(q) * rfact(p - q); } T H(int n, int r) const { if(n < 0 || r < 0) return (0); return r == 0 ? 1 : C(n + r - 1, r); } }; int main(){ cin.tie(0); ios::sync_with_stdio(false); INT(T); // 2,2:1, 2,3:2, 3,3:3, Combination com(1000000); while(T--){ LL(h,w); mint ans=0; FOR(i,2,h+w){ int dh=(i+1)/2,dw=i/2; ans+=mint(1)*(i-1)*com.H(dh,h-1-dh)*com.H(dw,w-1-dw); ans+=mint(1)*(i-1)*com.H(dh,w-1-dh)*com.H(dw,h-1-dw); // if(h*w<100){ // ERR(i,h,w,dh,dw); // ERR(com.H(dh,h-1-dh).val(),com.H(dw,w-1-dw).val(),com.H(dw,h-1-dw).val(),com.H(dh,w-1-dh).val()); // ERR(ans.val()); // } } OUT(ans.val()); } }