#nullable enable using System.Numerics; #region var _input = Array.Empty(); var _iter = 0; string String() { while (_iter >= _input.Length) (_input, _iter) = (Console.ReadLine()!.Split(' '), 0); return _input[_iter++]; } T I() where T : IParsable => T.Parse(String(), null); #endregion T[] Range(int n, Func F) => Enumerable.Range(0, n).Select(_ => F()).ToArray(); long Solve(long n) { var v = new Matrix(new int[10, 1]); v[0, 0] = 1; var a = new Matrix(new int[10, 10]); a[0, 0] = a[0, 3] = 1; a[1, 0] = a[1, 1] = a[1, 3] = a[1, 4] = 1; a[2, 1] = a[2, 2] = a[2, 4] = a[2, 5] = 1; a[3, 0] = a[3, 3] = 1; a[4, 0] = a[4, 1] = a[4, 3] = a[4, 4] = 1; a[5, 1] = a[5, 2] = a[5, 4] = a[5, 5] = 1; a[6, 2] = a[6, 5] = a[6, 6] = 1; a[7, 2] = a[7, 5] = a[7, 6] = 1; a[8, 8] = a[8, 9] = 1; a[9, 8] = a[9, 9] = 1; var b = Matrix.IdentityMatrix(10); b[7, 7] = 0; b[0, 7] = 1; b[9, 7] = 1; v = (b * a).Power(n) * v; return v[9, 0]; } var t = I(); var ans = Range(t, () => Solve(I())); Console.WriteLine(string.Join(Environment.NewLine, ans)); readonly struct Matrix : IAdditionOperators, IMultiplyOperators { long[,] V { get; init; } public long this[int i, int j] { get => V[i, j]; set { V[i, j] = Mod(value); } } public int X => V.GetLength(0); public int Y => V.GetLength(1); const int p = 998244353; static long Mod(long v) { var res = v % p; if (res < 0) res += p; return res; } public Matrix(int[,] matrix) { var (x, y) = (matrix.GetLength(0), matrix.GetLength(1)); var v = new long[x, y]; for (var i = 0; i < x; i++) for (var j = 0; j < y; j++) v[i, j] = Mod(matrix[i, j]); V = v; } public static implicit operator Matrix(int[,] matrix) => new(matrix); static Matrix With(long[,] matrix) => new(){ V = matrix }; public static Matrix IdentityMatrix(int size) { var v = new long[size, size]; for (var i = 0; i < size; i++) v[i, i] = 1; return With(v); } public static Matrix operator +(Matrix a, Matrix b) { var (v, va, vb, x, y) = (new long[a.X, a.Y], a.V, b.V, a.X, a.Y); for (var i = 0; i < x; i++) for (var j = 0; j < y; j++) { var sum = va[i, j] + vb[i, j]; if (sum > p) sum -= p; v[i, j] = sum; } return With(v); } public static Matrix operator *(Matrix a, Matrix b) { var (v, va, vb, x, y, z) = (new long[a.X, b.Y], a.V, b.V, a.X, b.Y, a.Y); for (var i = 0; i < x; i++) for (var k = 0; k < z; k++) { var c = va[i, k]; if (c != 0) for (var j = 0; j < y; j++) v[i, j] += vb[k, j] * c % p; } for (var i = 0; i < x; i++) for (var j = 0; j < y; j++) v[i, j] = Mod(v[i, j]); return With(v); } public static Matrix operator *(Matrix a, long k) { var (v, va, x, y) = (new long[a.X, a.Y], a.V, a.X, a.Y); for (var i = 0; i < x; i++) for (var j = 0; j < y; j++) v[i, j] = va[i, j] * k % p; return With(v); } public Matrix Power(long k) { var c = IdentityMatrix(X); var c2 = this; while (k > 0) { if ((k & 1) > 0) c *= c2; c2 *= c2; k >>= 1; } return c; } }