from sys import stdin input=lambda :stdin.readline()[:-1] mod=998244353 M=(10**5)*3 fac=[1]*M ninv=[1]*M finv=[1]*M for i in range(2,M): fac[i]=fac[i-1]*i%mod ninv[i]=(-(mod//i)*ninv[mod%i])%mod finv[i]=finv[i-1]*ninv[i]%mod def binom(n,k): if n<0 or k<0: return 0 if k>n: return 0 return (fac[n]*finv[k]%mod)*finv[n-k]%mod pow2=[1] for _ in range(M): pow2.append(pow2[-1]*2%mod) N=2*10**5+10 q=int(input()) M=int(q**0.5)+1 bucket=[[] for i in range(M)] ans=[0]*q for i in range(q): n,m=map(int,input().split()) ans[i]=pow2[n]-1 n-=1 m-=1 bucket[m*M//N].append((m,n,i)) for i in range(M): if i&1: bucket[i].sort(key=lambda x:-x[1]) else: bucket[i].sort(key=lambda x:x[1]) res=1 n=1 m=0 inv2=pow(2,mod-2,mod) for b in bucket: for mi,ni,i in b: while mmi: res-=binom(n,m) res%=mod m-=1 while nni: res=inv2*(res+binom(n-1,m)) res%=mod n-=1 ans[i]*=res ans[i]%=mod print(*ans,sep='\n')