#define MD 998244353
ll@T;rep(T){ll@N,@M,l;Mint D[M+1][5]{{1}};REP(i,M){auto&d=D[i],e=D[i+1];e[0]=sum[a,0,5](d[a]);e[1]=d[0]*N+d[1]*(N-1)+(d[2]+d[3]+d[4])*(N-2);if(N>9){e[2]=d[0]*N+d[1]*(N-2)+d[2]*(N-3)+(d[3]+d[4])*(N-4);e[3]=d[0]*N+d[1]*(N-2)+(d[2]+d[4])*(N-4)+d[3]*(N-3);e[4]=(d[0]+d[1]+d[2]+d[3]+d[4])*(N*(N/2-3)-(N%2<1)*N/2)-d[1]*(N-7)-(d[2]+d[3])*(2N-14)-d[4]*(2N-15);}else{rep(a,0,N)rep(b,a+2,N){l=min(b-a,a+N-b);if(l>1)e[min(l,4)]+=d[0]+(a!=0)*d[1]+(0!=a!=2!=b)*d[2]+(0!=a!=3!=b)*d[3]+(0!=a!=4!=b)*d[4];}}}wt(sum[a,0,5](D[M][a]));}