using System; using static System.Console; using System.Linq; using System.Collections.Generic; class Program { static int NN => int.Parse(ReadLine()); static int[] NList => ReadLine().Split().Select(int.Parse).ToArray(); public static void Main() { Solve(); } static void Solve() { var t = NN; var ans = new long[t]; for (var u = 0; u < t; ++u) { var c = NList; var (w, h) = (c[0], c[1]); ans[u] = Treasure(h, w); } WriteLine(string.Join("\n", ans)); } static int mod = 998_244_353; static int rev2 = 499_122_177; static long Treasure(int h, int w) { var dp = new long[3]; dp[0] = 1; for (var i = 0; i < h; ++i) { var ndp = new long[3]; ndp[0] = (dp[0] + dp[1] + dp[2]) % mod; if (w == 1) { ndp[1] = dp[0]; } else if (w == 2) { ndp[1] = (dp[0] * 2 + dp[1]) % mod; } else if (w == 3) { ndp[1] = (dp[0] * 3 + dp[1] * 2) % mod; } else { ndp[1] = (dp[0] * w + dp[1] * (w - 1) + dp[2] * (w - 2)) % mod; ndp[2] = (dp[0] * ((long)w % mod * (w - 1) % mod * rev2 % mod + mod - w) + dp[1] * ((long)(w - 1) % mod * (w - 2) % mod * rev2 % mod + mod - w + 2) + dp[2] * ((long)(w - 2) % mod * (w - 3) % mod * rev2 % mod + mod - w + 4)) % mod; } dp = ndp; } return (dp[0] + dp[1] + dp[2]) % mod; } class NCR { int[] facts; int[] revFacts; int mod; public NCR(int n, int mod) { facts = new int[n + 1]; revFacts = new int[n + 1]; this.mod = mod; facts[0] = 1; var tmp = 1L; for (var i = 1; i <= n; ++i) { tmp = (tmp * i) % mod; facts[i] = (int)tmp; } tmp = Exp(facts[n], mod - 2); revFacts[n] = (int)tmp; for (var i = n; i > 1; --i) { tmp = (tmp * i) % mod; revFacts[i - 1] = (int)tmp; } revFacts[0] = 1; } public long Exp(long n, long k) { n = n % mod; if (k == 0) return 1; if (k == 1) return n; var half = Exp(n, k / 2); var result = (half * half) % mod; return ((k % 2) == 0) ? result : ((result * n) % mod); } public long Calc(int n, int r) { return (long)facts[n] * revFacts[r] % mod * revFacts[n - r] % mod; } /// nが大きくrが小さい場合の計算 public long Calc2(int n, int r) { var tmp = 1L; for (var i = 0; i < r; ++i) { tmp = tmp * (n - i) % mod; } return tmp * revFacts[r] % mod; } public long NPR(int n, int r) { return (long)facts[n] * revFacts[r] % mod; } public long Fact(int n) { return facts[n]; } public long RevFact(int n) { return revFacts[n]; } } }