#include #include #include using namespace atcoder; using mint = modint998244353; using namespace std; #define rep(i,n) for (int i = 0; i < (n); ++i) #define Inf32 1000000001 #define Inf64 1000000000000000001 struct combi{ deque kaijou; deque kaijou_; combi(int n){ kaijou.push_back(1); for(int i=1;i<=n;i++){ kaijou.push_back(kaijou[i-1]*i); } mint b=kaijou[n].inv(); kaijou_.push_front(b); for(int i=1;i<=n;i++){ int k=n+1-i; kaijou_.push_front(kaijou_[0]*k); } } mint combination(int n,int r){ if(r>n)return 0; mint a = kaijou[n]*kaijou_[r]; a *= kaijou_[n-r]; return a; } mint junretsu(int a,int b){ mint x = kaijou_[a]*kaijou_[b]; x *= kaijou[a+b]; return x; } mint catalan(int n){ return combination(2*n,n)/(n+1); } }; combi C(3000000); int main(){ int _t; cin>>_t; rep(_,_t){ int n,m; cin>>n>>m; swap(n,m); vector dp(3,0); dp[0] = 1; rep(i,n){ vector ndp(3,0); ndp[0] += dp[0]+dp[1]+dp[2]; ndp[1] += dp[0]*m + dp[1]*(m-1) + dp[2]*(m-2); { mint t = C.combination(m,2); t -= m; t *= dp[0]; ndp[2] += t; } { mint t = C.combination(m-1,2); t -= m-2; t *= dp[1]; ndp[2] += t; } if(m>=4){ mint t = C.combination(m-2,2); t -= m-4; t *= dp[2]; ndp[2] += t; } swap(dp,ndp); } mint ans = 0; rep(i,3)ans += dp[i]; cout<