#include<bits/stdc++.h>
#include<atcoder/modint>
#include<atcoder/convolution>
using namespace std;
using lint = long long;
#define rep(i,n) for(lint i=0;i<(n);++i)
using mint=atcoder::static_modint<998244353>;

int main(){
	vector<mint>table(1000000,1),inv(1000000);
	rep(i,1000000)table[i+1]=table[i]*(i+1);
	inv[999999]=table[999999].inv();
	for(lint i=999998;i>=0;--i)inv[i]=inv[i+1]*(i+1);
	auto comb=[&](auto a,auto b){
		return table[a]*inv[b]*inv[a-b];
	};
	lint t;
	cin>>t;
	while(t--){
		lint h,w;
		cin>>h>>w;
		lint n=gcd(h,w);
		mint ans=mint(h)*w;
		if(n>3){
            ans+=2*n;
        }
		if(h*w/n%3==0){
			if(n>4)ans+=n*12;
		}
		if(h%4==0&&w%4==0){
			ans+=16;
		}
		if(n%2==0){
			rep(p,2){
				mint x=0;
				for(lint i=(n+3*p+5)%6+1;i<=n;i+=6){
					if(0<=n/2-5*i){
						x+=comb((n/2-5*i)/3+i-1,i-1)/i;
					}
				}
				ans+=x*x*n*n;
			}
		}
		cout<<ans.val()<<endl;
	}
}