#include #define ll long long #define eb emplace_back #define ep emplace #define pii pair #define fi first #define se second #define debug(...) fprintf(stderr,__VA_ARGS__) #define mems(arr,x) memset(arr,x,sizeof(arr)) #define memc(arr1,arr2) memcpy(arr1,arr2,sizeof(arr2)) using namespace std; const int maxn=1e6+10,B=470,mod=998244353; namespace FastMod{ inline void madd(int &x,int y){x+=y;(x>=mod)&&(x-=mod);} inline void mdel(int &x,int y){x-=y;(x<0)&&(x+=mod);} inline void mmul(int &x,int y){x=1ll*x*y%mod;} inline int imadd(int x,int y){madd(x,y);return x;} inline int imdel(int x,int y){mdel(x,y);return x;} inline int immul(int x,int y){mmul(x,y);return x;} inline int qpow(int x,int y){int res=1;while(y){if(y&1) res=1ll*res*x%mod;x=1ll*x*x%mod;y>>=1;}return res;} } using namespace FastMod; const int inv2=qpow(2,mod-2); int q; struct ques{int n,m,id;}a[maxn]; int ans[maxn],fac[maxn],inv[maxn]; int now; void init(){ int N=maxn-10; fac[0]=1;for(int i=1;i<=N;i++)fac[i]=immul(fac[i-1],i); inv[N]=qpow(fac[N],mod-2);for(int i=N-1;~i;i--)inv[i]=immul(inv[i+1],i+1); } inline int C(int x,int y){return x>y?0:1ll*fac[x]*inv[y]%mod*inv[x-y]%mod;} inline void addn(int n,int m){mdel(now,C(m,n));} inline void deln(int n,int m){madd(now,C(m,n+1));} inline void delm(int n,int m){madd(now,C(m,n-1));mmul(now,inv2);} inline void addm(int n,int m){mmul(now,2);mdel(now,C(m,n));} int main(){ init(); scanf("%d",&q); for(int i=1;i<=q;i++){ scanf("%d%d",&a[i].n,&a[i].m); ans[i]=imdel(qpow(2,a[i].n),1);a[i].n--;a[i].m--;swap(a[i].n,a[i].m); a[i].id=i; } sort(a+1,a+q+1,[&](ques x,ques y){return (x.n/B==y.n/B)?(x.m==y.m?0:((x.n/B)&1)^(x.mqr) delm(l,r--); while(rql) addn(l--,r); mmul(ans[a[i].id],now); } for(int i=1;i<=q;i++) printf("%d\n",ans[i]); }