#include #define rep(i,a,b) for(int i=(a);i<=(b);++i) #define per(i,a,b) for(int i=(a);i>=(b);--i) #define pii pair #define vi vector #define fi first #define se second #define pb push_back #define ALL(x) x.begin(),x.end() #define sz(x) int(x.size()) #define ll long long using namespace std; const int N = 2e5 + 5,P = 998244353,i2 = 499122177; ll fac[N],ifac[N]; ll fpow(ll x,ll y){ ll res = 1; while(y){ if(y & 1)res = res * x % P; x = x * x % P; y >>= 1; } return res; } ll C(int n,int m){ if(m < 0 || m > n)return 0; return fac[n] * ifac[m] % P * ifac[n - m] % P; } const int B = 500; int main(){ cin.tie(0)->sync_with_stdio(0); fac[0] = 1; rep(i,1,N - 1)fac[i] = fac[i - 1] * i % P; ifac[N - 1] = fpow(fac[N - 1],P - 2); per(i,N - 1,1)ifac[i - 1] = ifac[i] * i % P; int T;cin >> T; vector > query(T); rep(i,0,T - 1){ int n,m;cin >> n >> m; query[i] = {n,m,i}; } sort(ALL(query),[&](auto a,auto b){ if(a[0] / B != b[0] / B)return a[0] < b[0]; return a[1] < b[1]; }); int N = 0,M = 0; ll res = 1; vector ans(T); for(auto [n,m,i] : query){ while(N < n - 1){ res = (2 * res - C(N,M) + P) % P; N++; } while(M > m - 1){ res = (res - C(N,M) + P) % P; M--; } while(N > n - 1){ N--; res = (res + C(N,M)) * i2 % P; } while(M < m - 1){ M++; res = (res + C(N,M)) % P; } ans[i] = res * (fpow(2,n) - 1) % P; ans[i] = (ans[i] + P) % P; } for(int x : ans)cout << x << endl; return 0; }