#define MD 998244353
ll@X[5][34],@Y[5][34],t;Mint C[5][34][34],D[2d3]{1};rep(a,5)rep[C[a],b](c,34)rep(g,1,34)*c=1,c[g]=c[g-1]*(X[a][b]-g+1)/g;rep(e,5)rep(h,34)rrep(a,5)rrep(b,34)rrep(n,9)REP(g,1,min(e?a/e:n,h?b/h:n,n)+1)t=a+45b+5n,D[t]+=D[t-(e+45h+5)*g]*C[e][h][g];wt(sum[y,0,5](D[1529-y]*Y[y][0]));