#line 1 "Main.cpp"
#include <iostream>
#include <string>
#include <vector>
#include <algorithm>
#include <utility>
#include <atcoder/modint>
#line 3 "nachia\\math\\combination.hpp"

namespace nachia{

template<class Modint>
class Comb{
private:
    std::vector<Modint> F;
    std::vector<Modint> iF;
public:
    void extend(int newN){
        int prevN = (int)F.size() - 1;
        if(prevN >= newN) return;
        F.resize(newN+1);
        iF.resize(newN+1);
        for(int i=prevN+1; i<=newN; i++) F[i] = F[i-1] * Modint::raw(i);
        iF[newN] = F[newN].inv();
        for(int i=newN; i>prevN; i--) iF[i-1] = iF[i] * Modint::raw(i);
    }
    Comb(int n = 1){
        F.assign(2, Modint(1));
        iF.assign(2, Modint(1));
        extend(n);
    }
    Modint factorial(int n) const { return F[n]; }
    Modint invFactorial(int n) const { return iF[n]; }
    Modint invOf(int n) const { return iF[n] * F[n-1]; }
    Modint comb(int n, int r) const {
        if(n < 0 || n < r || r < 0) return Modint(0);
        return F[n] * iF[r] * iF[n-r];
    }
    Modint invComb(int n, int r) const {
        if(n < 0 || n < r || r < 0) return Modint(0);
        return iF[n] * F[r] * F[n-r];
    }
    Modint perm(int n, int r) const {
        if(n < 0 || n < r || r < 0) return Modint(0);
        return F[n] * iF[n-r];
    }
    Modint invPerm(int n, int r) const {
        if(n < 0 || n < r || r < 0) return Modint(0);
        return iF[n] * F[n-r];
    }
    Modint operator()(int n, int r) const { return comb(n,r); }
};

} // namespace nachia
#line 8 "Main.cpp"

using namespace std;
using i32 = int32_t;
using u32 = uint32_t;
using i64 = int64_t;
using u64 = uint64_t;
#define rep(i,n) for(int i=0; i<(int)(n); i++)
const i64 INF = 1001001001001001001;

using Modint = atcoder::static_modint<998244353>;

int GCD(int a, int b){ return b ? GCD(b,a%b) : a; }

nachia::Comb<Modint> comb(300000);

void testcase(){
    int H, W; cin >> H >> W;
    Modint ans = 0;
    ans += Modint(H) * W;
    int G = GCD(H,W);
    if(G > 3) ans += Modint(G) * 2;
    if(G > 4 && (H%3 == 0 || W%3 == 0)) ans += Modint(G) * 12;
    if(G % 4 == 0) ans += 16;
    if(G % 2 == 0){
        int g = G/2;
        Modint parity[2] = {};
        for(int n=1; n*5<=g; n++){
            int m = (g - n*5) / 3;
            if(n*5 + m*3 == g){
                parity[n%2] += comb(n+m-1, m-1) * 3;
                parity[n%2] += comb(n+m-1, m) * 5;
            }
        }
        for(int t=0; t<2; t++) ans += parity[t] * parity[t] * 4;
    }
    cout << ans.val() << '\n';
}


int main(){
    int T; cin >> T;
    rep(t,T) testcase();
    return 0;
}


struct ios_do_not_sync{
    ios_do_not_sync(){
        ios::sync_with_stdio(false);
        cin.tie(nullptr);
    }
} ios_do_not_sync_instance;